******************************************************************************************** ** Complete list of all connected edge-transitive bipartite graphs on up to 63 vertices ** ******************************************************************************************** This file gives the edge-sets of the connected edge-transitive bipartite graphs on up to 63 vertices, as listed at www.math.auckland.ac.nz/~conder/AllSmallETBgraphs-upto63-summary.txt. These graphs were found in June & July 2017 by Marston Conder & Gabriel Verret, with the help of the Magma system, and in particular, using its databases of transitive groups of degree up to 31. (Note that any edge-transitive graph that is not vertex-transitive is bipartite, with the two parts being the orbits of its automorphism group on vertices. On the other hand, for any ET bipartite graph that is vertex- but not arc-transitive, the stabiliser in the automorphism group of each part has two equal-sized orbits on edges.) The graphs are listed in ascending order, and ascending maximum valency for given order. The j-th edge-transitive bipartite graph of order n is labelled as "ETBn.j". The notation Bipartite(k,m) indicates that the graph has parts A and B of sizes k and m, and in each such case, the valencies of vertices of A and B respectively are given. The term "twin-free" (introduced by Kotlov and Lovász (1996)) means that no two vertices of the graph have exactly the same neighbours. Another term used for this is "worthy". The terms "VT" and "AT" are abbreviations for "vertex-transitive" and "arc-transitive". The edge-set of the graph ETBn.j is given as "EdgesBipt[n][j]", for ease of input into the Magma system. A complete list of all connected edge-transitive graphs on up to 47 vertices is given at www.math.auckland.ac.nz/~conder/AllSmallETgraphs-upto47-summary.txt, with edges for those graphs given at www.math.auckland.ac.nz/~conder/AllSmallETgraphs-upto47-full.txt. Marston Conder 25 May 2019 // ******************************************************************************************** // Order 1 // Total number of connected ET bipartite graphs of order 1 is 0 // ******************************************************************************************** // Order 2 // ETB2.1 (= ET2.1) // Bipartite(1,1) Valencies [1,1] // Diameter 1 No cycles // Twin-free VT AT // Automorphism group of order 2 EdgesBipt[2][1]:={ {1,2} }; // Total number of connected ET bipartite graphs of order 2 is 1 // ******************************************************************************************** // Order 3 // ETB3.1 (= ET3.1) // Bipartite(1,2) Valencies [2,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 2 EdgesBipt[3][1]:={ {1,3}, {1,2} }; // Total number of connected ET bipartite graphs of order 3 is 1 // ******************************************************************************************** // Order 4 // ETB4.1 (= ET4.1) // Bipartite(2,2) Valencies [2,2] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 8 EdgesBipt[4][1]:={ {1,3}, {1,4}, {2,4}, {2,3} }; // ETB4.2 (= ET4.2) // Bipartite(1,3) Valencies [3,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 6 EdgesBipt[4][2]:={ {1,3}, {1,4}, {1,2} }; // Total number of connected ET bipartite graphs of order 4 is 2 // ******************************************************************************************** // Order 5 // ETB5.1 (= ET5.2) // Bipartite(2,3) Valencies [3,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12 EdgesBipt[5][1]:={ {1,5}, {2,5}, {1,3}, {1,4}, {2,4}, {2,3} }; // ETB5.2 (= ET5.3) // Bipartite(1,4) Valencies [4,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 24 EdgesBipt[5][2]:={ {1,5}, {1,3}, {1,4}, {1,2} }; // Total number of connected ET bipartite graphs of order 5 is 2 // ******************************************************************************************** // Order 6 // ETB6.1 (= ET6.1) // Bipartite(3,3) Valencies [2,2] // Diameter 3 Girth 6 // Twin-free VT AT // Automorphism group of order 12 EdgesBipt[6][1]:={ {2,5}, {3,6}, {1,4}, {2,4}, {3,5}, {1,6} }; // ETB6.2 (= ET6.2) // Bipartite(3,3) Valencies [3,3] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 72 EdgesBipt[6][2]:={ {1,5}, {2,5}, {2,6}, {1,6}, {1,4}, {2,4}, {3,5}, {3,4}, {3,6} }; // ETB6.3 (= ET6.3) // Bipartite(2,4) Valencies [4,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 48 EdgesBipt[6][3]:={ {1,5}, {2,5}, {1,3}, {2,6}, {1,4}, {2,4}, {2,3}, {1,6} }; // ETB6.4 (= ET6.5) // Bipartite(1,5) Valencies [5,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[6][4]:={ {1,5}, {1,3}, {1,4}, {1,2}, {1,6} }; // Total number of connected ET bipartite graphs of order 6 is 4 // ******************************************************************************************** // Order 7 // ETB7.1 (= ET7.2) // Bipartite(3,4) Valencies [4,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[7][1]:={ {1,5}, {2,5}, {2,6}, {1,7}, {1,6}, {1,4}, {2,4}, {2,7}, {3,7}, {3,5}, {3,4}, {3,6} }; // ETB7.2 (= ET7.3) // Bipartite(2,5) Valencies [5,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[7][2]:={ {1,5}, {2,5}, {1,3}, {2,6}, {1,4}, {2,4}, {2,7}, {1,7}, {2,3}, {1,6} }; // ETB7.3 (= ET7.4) // Bipartite(1,6) Valencies [6,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[7][3]:={ {1,5}, {1,3}, {1,4}, {1,7}, {1,2}, {1,6} }; // Total number of connected ET bipartite graphs of order 7 is 3 // ******************************************************************************************** // Order 8 // ETB8.1 (= ET8.1) // Bipartite(4,4) Valencies [2,2] // Diameter 4 Girth 8 // Twin-free VT AT // Automorphism group of order 16 EdgesBipt[8][1]:={ {2,8}, {1,5}, {2,6}, {4,7}, {1,6}, {3,8}, {4,5}, {3,7} }; // ETB8.2 (= ET8.2) // Bipartite(4,4) Valencies [3,3] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 48 EdgesBipt[8][2]:={ {1,8}, {1,5}, {2,5}, {2,6}, {4,7}, {4,8}, {1,6}, {3,8}, {4,5}, {2,7}, {3,7}, {3,6} }; // ETB8.3 (= ET8.3) // Bipartite(4,4) Valencies [4,4] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 1152 EdgesBipt[8][3]:={ {4,6}, {3,5}, {2,6}, {3,6}, {4,5}, {4,8}, {1,8}, {2,5}, {4,7}, {1,5}, {2,7}, {1,6}, {3,7}, {3,8}, {1,7}, {2,8} }; // ETB8.4 (= ET8.4) // Bipartite(3,5) Valencies [5,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[8][4]:={ {2,8}, {1,8}, {1,5}, {2,5}, {2,6}, {1,7}, {1,6}, {1,4}, {3,8}, {2,4}, {2,7}, {3,7}, {3,4}, {3,5}, {3,6} }; // ETB8.5 (= ET8.5) // Bipartite(2,6) Valencies [6,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[8][5]:={ {1,3}, {2,8}, {1,8}, {1,5}, {2,5}, {2,6}, {1,7}, {1,6}, {1,4}, {2,4}, {2,7}, {2,3} }; // ETB8.6 (= ET8.7) // Bipartite(1,7) Valencies [7,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[8][6]:={ {1,5}, {1,3}, {1,4}, {1,7}, {1,2}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 8 is 6 // ******************************************************************************************** // Order 9 // ETB9.1 (= ET9.2) // Bipartite(3,6) Valencies [4,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 48 EdgesBipt[9][1]:={ {2,8}, {1,8}, {1,5}, {2,5}, {2,6}, {1,7}, {3,9}, {1,4}, {2,9}, {3,7}, {3,4}, {3,6} }; // ETB9.2 (= ET9.4) // Bipartite(4,5) Valencies [5,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2880 EdgesBipt[9][2]:={ {4,6}, {3,5}, {2,6}, {3,6}, {3,9}, {4,5}, {4,8}, {1,9}, {1,8}, {2,5}, {4,9}, {4,7}, {1,5}, {2,7}, {1,6}, {3,7}, {3,8}, {1,7}, {2,8}, {2,9} }; // ETB9.3 (= ET9.5) // Bipartite(3,6) Valencies [6,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4320 EdgesBipt[9][3]:={ {3,5}, {2,6}, {3,6}, {3,9}, {3,4}, {1,4}, {1,9}, {1,8}, {2,5}, {1,5}, {2,7}, {1,6}, {3,7}, {2,4}, {3,8}, {1,7}, {2,8}, {2,9} }; // ETB9.4 (= ET9.7) // Bipartite(2,7) Valencies [7,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10080 EdgesBipt[9][4]:={ {1,3}, {2,8}, {1,8}, {1,5}, {2,5}, {2,6}, {1,7}, {1,9}, {1,6}, {1,4}, {2,4}, {2,7}, {2,9}, {2,3} }; // ETB9.5 (= ET9.8) // Bipartite(1,8) Valencies [8,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 40320 EdgesBipt[9][5]:={ {1,5}, {1,3}, {1,4}, {1,9}, {1,7}, {1,2}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 9 is 5 // ******************************************************************************************** // Order 10 // ETB10.1 (= ET10.1) // Bipartite(5,5) Valencies [2,2] // Diameter 5 Girth 10 // Twin-free VT AT // Automorphism group of order 20 EdgesBipt[10][1]:={ {1,8}, {1,6}, {3,9}, {4,6}, {3,8}, {5,9}, {5,7}, {2,7}, {2,10}, {4,10} }; // ETB10.2 (= ET10.2) // Bipartite(4,6) Valencies [3,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 24 EdgesBipt[10][2]:={ {2,8}, {1,5}, {2,5}, {2,6}, {1,7}, {4,8}, {3,9}, {1,10}, {4,9}, {3,7}, {3,6}, {4,10} }; // ETB10.3 (= ET10.4) // Bipartite(5,5) Valencies [4,4] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[10][3]:={ {4,6}, {5,8}, {2,6}, {3,6}, {4,8}, {5,9}, {1,9}, {1,8}, {4,9}, {4,7}, {5,7}, {2,7}, {1,10}, {2,10}, {1,6}, {3,7}, {3,8}, {2,9}, {3,10}, {5,10} }; // ETB10.4 (= ET10.6) // Bipartite(5,5) Valencies [5,5] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 28800 EdgesBipt[10][4]:={ {4,6}, {5,8}, {2,6}, {3,6}, {3,9}, {4,8}, {5,6}, {4,10}, {5,9}, {1,9}, {1,8}, {4,9}, {4,7}, {5,7}, {2,7}, {1,10}, {2,10}, {1,6}, {3,7}, {3,8}, {1,7}, {2,8}, {2,9}, {3,10}, {5,10} }; // ETB10.5 (= ET10.7) // Bipartite(4,6) Valencies [6,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17280 EdgesBipt[10][5]:={ {1,5}, {4,10}, {1,7}, {4,9}, {3,10}, {1,10}, {4,5}, {3,7}, {2,10}, {3,5}, {1,6}, {3,9}, {2,5}, {3,6}, {4,7}, {2,7}, {1,8}, {2,9}, {4,6}, {1,9}, {2,8}, {2,6}, {3,8}, {4,8} }; // ETB10.6 (= ET10.9) // Bipartite(3,7) Valencies [7,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 30240 EdgesBipt[10][6]:={ {3,5}, {2,6}, {3,6}, {3,9}, {3,4}, {1,4}, {1,9}, {1,8}, {2,5}, {1,5}, {2,7}, {1,10}, {2,10}, {1,6}, {3,7}, {2,4}, {3,8}, {1,7}, {2,8}, {2,9}, {3,10} }; // ETB10.7 (= ET10.10) // Bipartite(2,8) Valencies [8,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 80640 EdgesBipt[10][7]:={ {2,6}, {2,3}, {1,3}, {1,4}, {1,9}, {1,8}, {2,5}, {1,5}, {2,7}, {1,10}, {2,10}, {1,6}, {2,4}, {1,7}, {2,8}, {2,9} }; // ETB10.8 (= ET10.12) // Bipartite(1,9) Valencies [9,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 362880 EdgesBipt[10][8]:={ {1,5}, {1,3}, {1,4}, {1,9}, {1,10}, {1,7}, {1,2}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 10 is 8 // ******************************************************************************************** // Order 11 // ETB11.1 (= ET11.2) // Bipartite(5,6) Valencies [6,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 86400 EdgesBipt[11][1]:={ {4,10}, {5,11}, {1,7}, {4,9}, {3,10}, {1,10}, {5,6}, {3,11}, {2,11}, {3,7}, {5,9}, {2,10}, {1,11}, {1,6}, {4,11}, {5,7}, {3,9}, {5,8}, {5,10}, {3,6}, {4,7}, {2,7}, {1,8}, {2,9}, {4,6}, {1,9}, {2,8}, {2,6}, {3,8}, {4,8} }; // ETB11.2 (= ET11.3) // Bipartite(4,7) Valencies [7,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 120960 EdgesBipt[11][2]:={ {1,5}, {4,10}, {1,7}, {4,9}, {3,10}, {1,10}, {4,5}, {3,7}, {2,11}, {3,11}, {2,10}, {3,5}, {1,11}, {1,6}, {4,11}, {3,9}, {2,5}, {3,6}, {4,7}, {2,7}, {1,8}, {2,9}, {1,9}, {4,6}, {2,8}, {2,6}, {3,8}, {4,8} }; // ETB11.3 (= ET11.4) // Bipartite(3,8) Valencies [8,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 241920 EdgesBipt[11][3]:={ {3,4}, {1,5}, {1,4}, {1,7}, {3,10}, {1,10}, {3,7}, {2,11}, {3,11}, {2,10}, {3,5}, {2,4}, {1,11}, {1,6}, {2,5}, {3,9}, {3,6}, {2,7}, {1,8}, {2,9}, {1,9}, {2,8}, {2,6}, {3,8} }; // ETB11.4 (= ET11.5) // Bipartite(2,9) Valencies [9,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 725760 EdgesBipt[11][4]:={ {1,3}, {2,8}, {1,8}, {1,5}, {1,11}, {2,5}, {2,6}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {2,4}, {2,7}, {2,9}, {2,3}, {2,10}, {2,11} }; // ETB11.5 (= ET11.6) // Bipartite(1,10) Valencies [10,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 3628800 EdgesBipt[11][5]:={ {1,5}, {1,3}, {1,4}, {1,9}, {1,10}, {1,11}, {1,7}, {1,2}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 11 is 5 // ******************************************************************************************** // Order 12 // ETB12.1 (= ET12.1) // Bipartite(6,6) Valencies [2,2] // Diameter 6 Girth 12 // Twin-free VT AT // Automorphism group of order 24 EdgesBipt[12][1]:={ {2,8}, {5,10}, {6,11}, {6,12}, {1,7}, {3,9}, {3,8}, {4,9}, {2,7}, {5,11}, {1,12}, {4,10} }; // ETB12.2 (= ET12.2) // Bipartite(4,8) Valencies [4,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 128 EdgesBipt[12][2]:={ {4,6}, {2,6}, {4,11}, {4,10}, {1,9}, {1,8}, {2,5}, {4,7}, {1,5}, {3,11}, {2,10}, {3,12}, {3,7}, {3,8}, {1,12}, {2,9} }; // ETB12.3 (= ET12.3) // Bipartite(6,6) Valencies [4,4] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 768 EdgesBipt[12][3]:={ {4,10}, {5,11}, {1,7}, {4,9}, {1,12}, {1,10}, {6,12}, {6,8}, {3,11}, {2,11}, {2,10}, {4,12}, {6,9}, {5,7}, {5,8}, {3,9}, {5,10}, {6,11}, {4,7}, {2,7}, {1,9}, {3,12}, {2,8}, {3,8} }; // ETB12.4 (= ET12.5) // Bipartite(6,6) Valencies [5,5] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1440 EdgesBipt[12][4]:={ {4,10}, {5,11}, {1,7}, {1,12}, {3,10}, {6,7}, {1,10}, {6,12}, {6,8}, {3,11}, {2,11}, {3,7}, {5,9}, {2,10}, {4,11}, {4,12}, {6,9}, {5,7}, {5,8}, {3,9}, {5,10}, {6,11}, {4,7}, {1,8}, {2,9}, {1,9}, {3,12}, {2,8}, {2,12}, {4,8} }; // ETB12.5 (= ET12.7) // Bipartite(3,9) Valencies [6,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[12][5]:={ {2,8}, {1,8}, {1,5}, {1,11}, {2,5}, {2,6}, {1,7}, {3,10}, {3,9}, {1,4}, {1,10}, {2,12}, {3,12}, {2,9}, {3,7}, {2,11}, {3,4}, {3,6} }; // ETB12.6 (= ET12.8) // Bipartite(4,8) Valencies [6,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[12][6]:={ {1,5}, {4,9}, {1,12}, {3,10}, {1,10}, {4,5}, {3,11}, {2,11}, {3,7}, {2,10}, {1,6}, {4,11}, {4,12}, {2,5}, {3,6}, {4,7}, {2,7}, {1,8}, {2,9}, {1,9}, {3,12}, {2,6}, {3,8}, {4,8} }; // ETB12.7 (= ET12.9) // Bipartite(6,6) Valencies [6,6] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 1036800 EdgesBipt[12][7]:={ {6,7}, {3,10}, {4,7}, {1,7}, {3,8}, {2,11}, {6,8}, {4,8}, {6,12}, {6,10}, {1,10}, {5,12}, {5,8}, {3,11}, {2,7}, {1,12}, {6,9}, {4,9}, {6,11}, {4,11}, {3,9}, {1,11}, {5,7}, {5,11}, {2,8}, {3,12}, {1,9}, {2,10}, {2,12}, {4,10}, {5,9}, {2,9}, {3,7}, {4,12}, {5,10}, {1,8} }; // ETB12.8 (= ET12.11) // Bipartite(5,7) Valencies [7,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 604800 EdgesBipt[12][8]:={ {4,6}, {3,10}, {4,7}, {1,7}, {3,8}, {2,11}, {3,6}, {4,8}, {1,10}, {5,6}, {5,8}, {5,12}, {3,11}, {2,7}, {1,12}, {4,9}, {4,11}, {3,9}, {1,11}, {5,7}, {5,11}, {2,6}, {2,8}, {3,12}, {1,9}, {2,10}, {2,12}, {4,10}, {5,9}, {2,9}, {3,7}, {4,12}, {1,6}, {1,8}, {5,10} }; // ETB12.9 (= ET12.12) // Bipartite(4,8) Valencies [8,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 967680 EdgesBipt[12][9]:={ {4,6}, {3,10}, {4,5}, {4,7}, {1,7}, {3,8}, {2,11}, {1,5}, {3,6}, {4,8}, {1,10}, {3,11}, {2,7}, {1,12}, {4,9}, {3,9}, {4,11}, {1,11}, {2,6}, {2,8}, {3,12}, {1,9}, {2,5}, {2,10}, {2,12}, {3,5}, {4,10}, {2,9}, {3,7}, {4,12}, {1,6}, {1,8} }; // ETB12.10 (= ET12.14) // Bipartite(3,9) Valencies [9,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2177280 EdgesBipt[12][10]:={ {3,5}, {2,6}, {3,6}, {3,9}, {3,4}, {1,4}, {1,9}, {1,8}, {2,5}, {1,5}, {2,7}, {1,10}, {2,10}, {3,11}, {1,6}, {2,12}, {3,12}, {1,11}, {3,7}, {2,4}, {1,12}, {3,8}, {1,7}, {2,11}, {2,8}, {2,9}, {3,10} }; // ETB12.11 (= ET12.16) // Bipartite(2,10) Valencies [10,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7257600 EdgesBipt[12][11]:={ {1,3}, {2,8}, {1,8}, {1,5}, {1,11}, {2,5}, {2,6}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {2,12}, {2,4}, {2,7}, {2,9}, {2,3}, {1,12}, {2,10}, {2,11} }; // ETB12.12 (= ET12.18) // Bipartite(1,11) Valencies [11,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 39916800 EdgesBipt[12][12]:={ {1,5}, {1,3}, {1,12}, {1,4}, {1,9}, {1,10}, {1,11}, {1,7}, {1,2}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 12 is 12 // ******************************************************************************************** // Order 13 // ETB13.1 (= ET13.4) // Bipartite(6,7) Valencies [7,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3628800 EdgesBipt[13][1]:={ {6,7}, {6,13}, {3,10}, {5,13}, {4,7}, {1,7}, {3,8}, {2,11}, {6,8}, {4,8}, {6,12}, {6,10}, {1,10}, {5,12}, {5,8}, {3,11}, {2,7}, {1,12}, {2,13}, {1,13}, {6,9}, {4,9}, {6,11}, {4,11}, {3,9}, {1,11}, {5,7}, {5,11}, {2,8}, {3,12}, {1,9}, {3,13}, {4,13}, {2,12}, {2,10}, {4,10}, {5,9}, {2,9}, {3,7}, {4,12}, {5,10}, {1,8} }; // ETB13.2 (= ET13.5) // Bipartite(5,8) Valencies [8,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4838400 EdgesBipt[13][2]:={ {4,6}, {3,10}, {5,13}, {4,7}, {1,7}, {3,8}, {2,11}, {3,6}, {4,8}, {1,10}, {5,6}, {5,8}, {5,12}, {3,11}, {2,7}, {1,12}, {2,13}, {1,13}, {4,9}, {4,11}, {3,9}, {1,11}, {5,7}, {5,11}, {2,6}, {2,8}, {3,12}, {1,9}, {3,13}, {2,10}, {2,12}, {4,13}, {4,10}, {5,9}, {2,9}, {3,7}, {4,12}, {1,6}, {1,8}, {5,10} }; // ETB13.3 (= ET13.6) // Bipartite(4,9) Valencies [9,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8709120 EdgesBipt[13][3]:={ {4,6}, {3,10}, {4,5}, {4,7}, {1,7}, {3,8}, {2,11}, {1,5}, {3,6}, {4,8}, {1,10}, {3,11}, {2,7}, {1,12}, {2,13}, {1,13}, {4,9}, {3,9}, {4,11}, {1,11}, {2,6}, {2,8}, {3,12}, {1,9}, {3,13}, {2,5}, {2,10}, {2,12}, {3,5}, {4,13}, {4,10}, {2,9}, {3,7}, {4,12}, {1,6}, {1,8} }; // ETB13.4 (= ET13.7) // Bipartite(3,10) Valencies [10,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21772800 EdgesBipt[13][4]:={ {3,4}, {1,5}, {1,4}, {1,7}, {1,12}, {3,10}, {1,13}, {1,10}, {2,13}, {3,11}, {2,11}, {3,7}, {2,10}, {3,5}, {2,4}, {1,11}, {1,6}, {3,9}, {2,5}, {3,6}, {2,7}, {1,8}, {2,9}, {1,9}, {3,12}, {2,8}, {2,6}, {3,8}, {2,12}, {3,13} }; // ETB13.5 (= ET13.8) // Bipartite(2,11) Valencies [11,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 79833600 EdgesBipt[13][5]:={ {1,13}, {2,6}, {2,3}, {1,3}, {1,4}, {1,9}, {1,8}, {2,5}, {1,5}, {2,7}, {1,10}, {2,10}, {1,6}, {2,12}, {2,13}, {1,11}, {2,4}, {1,12}, {1,7}, {2,11}, {2,8}, {2,9} }; // ETB13.6 (= ET13.9) // Bipartite(1,12) Valencies [12,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 479001600 EdgesBipt[13][6]:={ {1,3}, {1,8}, {1,5}, {1,11}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {1,2}, {1,13}, {1,12} }; // Total number of connected ET bipartite graphs of order 13 is 6 // ******************************************************************************************** // Order 14 // ETB14.1 (= ET14.1) // Bipartite(7,7) Valencies [2,2] // Diameter 7 Girth 14 // Twin-free VT AT // Automorphism group of order 28 EdgesBipt[14][1]:={ {1,8}, {7,11}, {6,8}, {3,10}, {2,12}, {1,10}, {5,14}, {7,9}, {4,12}, {3,14}, {2,9}, {5,11}, {6,13}, {4,13} }; // ETB14.2 (= ET14.2) // Bipartite(7,7) Valencies [3,3] // Diameter 3 Girth 6 // Twin-free VT AT // Automorphism group of order 336 EdgesBipt[14][2]:={ {1,13}, {6,14}, {4,11}, {6,10}, {3,13}, {3,9}, {4,8}, {6,12}, {7,11}, {2,14}, {5,12}, {4,10}, {5,9}, {1,8}, {7,14}, {5,11}, {1,12}, {7,13}, {2,8}, {2,9}, {3,10} }; // ETB14.3 (= ET14.3) // Bipartite(6,8) Valencies [4,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 48 EdgesBipt[14][3]:={ {6,10}, {5,11}, {1,7}, {6,14}, {1,10}, {4,14}, {6,8}, {3,11}, {3,7}, {4,13}, {2,14}, {2,10}, {4,11}, {4,12}, {5,7}, {5,8}, {5,13}, {3,9}, {1,8}, {2,9}, {1,9}, {3,12}, {2,12}, {6,13} }; // ETB14.4 (= ET14.4) // Bipartite(6,8) Valencies [4,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[14][4]:={ {4,10}, {6,10}, {1,7}, {5,14}, {1,12}, {6,14}, {6,7}, {4,14}, {2,13}, {3,11}, {3,7}, {5,9}, {1,11}, {4,12}, {3,9}, {5,13}, {5,10}, {6,11}, {1,8}, {2,9}, {2,8}, {3,13}, {2,12}, {4,8} }; // ETB14.5 (= ET14.5) // Bipartite(7,7) Valencies [4,4] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 336 EdgesBipt[14][5]:={ {5,8}, {6,14}, {1,14}, {3,14}, {4,11}, {6,10}, {6,11}, {3,13}, {4,8}, {7,11}, {7,12}, {2,14}, {5,12}, {5,9}, {1,8}, {4,9}, {2,12}, {2,13}, {7,10}, {4,13}, {6,9}, {1,11}, {3,8}, {1,12}, {7,13}, {2,9}, {3,10}, {5,10} }; // ETB14.6 (= ET14.7) // Bipartite(7,7) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 10080 EdgesBipt[14][6]:={ {7,10}, {6,13}, {7,14}, {3,10}, {5,13}, {1,14}, {2,11}, {3,8}, {3,14}, {6,8}, {4,8}, {6,10}, {1,10}, {4,14}, {5,12}, {5,8}, {1,12}, {6,9}, {2,13}, {1,13}, {4,9}, {6,14}, {6,11}, {4,11}, {3,9}, {1,11}, {5,11}, {7,11}, {7,13}, {2,8}, {3,12}, {7,12}, {3,13}, {7,9}, {2,12}, {4,10}, {5,9}, {2,9}, {4,12}, {2,14}, {1,8}, {5,10} }; // ETB14.7 (= ET14.8) // Bipartite(7,7) Valencies [7,7] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 50803200 EdgesBipt[14][7]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {3,12}, {7,9}, {2,10}, {7,12}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {7,8}, {6,12}, {7,13}, {6,10}, {5,11}, {1,12}, {3,8}, {3,9}, {2,12}, {5,8}, {5,9}, {4,12}, {7,10}, {3,11}, {3,14}, {5,14}, {3,13}, {1,8}, {1,13}, {5,13}, {2,9}, {6,11}, {1,9}, {2,13}, {4,14}, {2,8}, {7,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB14.8 (= ET14.9) // Bipartite(6,8) Valencies [8,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29030400 EdgesBipt[14][8]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {6,12}, {5,11}, {6,10}, {4,7}, {1,12}, {3,8}, {3,9}, {2,12}, {6,7}, {5,8}, {5,9}, {4,12}, {5,7}, {1,7}, {2,7}, {3,11}, {3,7}, {3,14}, {5,14}, {3,13}, {1,8}, {1,13}, {5,13}, {2,9}, {6,11}, {1,9}, {2,13}, {4,14}, {2,8}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB14.9 (= ET14.10) // Bipartite(5,9) Valencies [9,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43545600 EdgesBipt[14][9]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {1,6}, {2,6}, {5,11}, {4,7}, {1,12}, {3,8}, {3,9}, {2,12}, {5,8}, {4,6}, {5,9}, {4,12}, {5,7}, {1,7}, {2,7}, {3,11}, {3,7}, {5,6}, {3,14}, {3,6}, {5,14}, {3,13}, {1,8}, {1,13}, {2,9}, {5,13}, {1,9}, {2,13}, {4,14}, {2,8}, {1,11}, {3,10} }; // ETB14.10 (= ET14.11) // Bipartite(4,10) Valencies [10,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 87091200 EdgesBipt[14][10]:={ {4,6}, {3,10}, {4,5}, {1,14}, {4,7}, {1,7}, {3,8}, {3,14}, {2,11}, {1,5}, {3,6}, {4,8}, {1,10}, {4,14}, {3,11}, {2,7}, {1,12}, {2,13}, {1,13}, {4,9}, {3,9}, {4,11}, {1,11}, {2,6}, {2,8}, {3,12}, {1,9}, {3,13}, {2,5}, {2,10}, {2,12}, {3,5}, {4,13}, {4,10}, {2,9}, {3,7}, {4,12}, {2,14}, {1,8}, {1,6} }; // ETB14.11 (= ET14.12) // Bipartite(3,11) Valencies [11,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 239500800 EdgesBipt[14][11]:={ {1,4}, {3,10}, {1,14}, {1,7}, {3,8}, {2,11}, {3,14}, {1,5}, {3,6}, {3,4}, {1,10}, {3,11}, {2,7}, {1,12}, {2,13}, {1,13}, {2,4}, {3,9}, {1,11}, {2,6}, {2,8}, {3,12}, {1,9}, {3,13}, {2,5}, {2,10}, {2,12}, {3,5}, {2,9}, {3,7}, {2,14}, {1,8}, {1,6} }; // ETB14.12 (= ET14.13) // Bipartite(2,12) Valencies [12,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 958003200 EdgesBipt[14][12]:={ {1,13}, {1,14}, {2,3}, {2,6}, {2,14}, {1,3}, {1,4}, {1,9}, {1,8}, {2,5}, {1,5}, {2,7}, {1,10}, {2,10}, {1,6}, {2,12}, {2,13}, {1,11}, {2,4}, {1,12}, {1,7}, {2,11}, {2,8}, {2,9} }; // ETB14.13 (= ET14.15) // Bipartite(1,13) Valencies [13,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 6227020800 EdgesBipt[14][13]:={ {1,3}, {1,8}, {1,5}, {1,11}, {1,14}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {1,2}, {1,13}, {1,12} }; // Total number of connected ET bipartite graphs of order 14 is 13 // ******************************************************************************************** // Order 15 // ETB15.1 (= ET15.2) // Bipartite(6,9) Valencies [3,2] // Diameter 4 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 72 EdgesBipt[15][1]:={ {1,8}, {6,12}, {6,8}, {3,10}, {1,7}, {4,7}, {2,14}, {1,9}, {5,13}, {2,15}, {4,11}, {5,15}, {3,12}, {2,9}, {3,14}, {5,11}, {6,13}, {4,10} }; // ETB15.2 (= ET15.3) // Bipartite(5,10) Valencies [4,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[15][2]:={ {4,10}, {3,15}, {5,14}, {1,13}, {2,13}, {3,11}, {1,6}, {4,11}, {4,12}, {1,14}, {5,7}, {5,15}, {3,9}, {5,10}, {2,7}, {4,6}, {1,9}, {2,8}, {2,12}, {3,8} }; // ETB15.3 (= ET15.4) // Bipartite(5,10) Valencies [4,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 320 EdgesBipt[15][3]:={ {1,14}, {5,14}, {3,6}, {3,13}, {4,8}, {5,12}, {4,10}, {5,9}, {1,9}, {5,7}, {2,7}, {3,11}, {2,10}, {1,6}, {2,12}, {4,13}, {1,11}, {2,15}, {3,8}, {4,15} }; // ETB15.4 (= ET15.7) // Bipartite(5,10) Valencies [6,3] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[15][4]:={ {5,12}, {4,10}, {5,11}, {3,15}, {1,7}, {4,9}, {3,10}, {1,13}, {1,10}, {5,6}, {2,13}, {2,11}, {4,13}, {2,14}, {5,9}, {4,15}, {1,11}, {2,15}, {3,14}, {1,14}, {5,7}, {5,8}, {3,6}, {4,7}, {1,8}, {2,9}, {4,6}, {3,12}, {2,12}, {3,8} }; // ETB15.5 (= ET15.8) // Bipartite(6,9) Valencies [6,4] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 72 EdgesBipt[15][5]:={ {6,13}, {6,15}, {3,10}, {5,13}, {1,14}, {4,7}, {1,7}, {3,14}, {2,11}, {6,8}, {3,15}, {4,8}, {6,12}, {1,10}, {5,15}, {5,8}, {3,11}, {2,7}, {1,12}, {6,9}, {6,14}, {4,11}, {5,7}, {5,11}, {3,12}, {2,15}, {1,9}, {3,13}, {4,13}, {2,10}, {4,10}, {5,9}, {2,9}, {4,12}, {2,14}, {1,8} }; // ETB15.6 (= ET15.9) // Bipartite(6,9) Valencies [6,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10368 EdgesBipt[15][6]:={ {6,7}, {6,13}, {6,15}, {3,10}, {5,14}, {1,14}, {4,7}, {1,7}, {2,11}, {3,15}, {4,8}, {6,12}, {6,10}, {1,10}, {4,14}, {5,12}, {5,8}, {5,15}, {1,13}, {6,9}, {4,11}, {3,9}, {1,11}, {5,11}, {2,8}, {3,12}, {2,15}, {3,13}, {4,13}, {2,12}, {4,10}, {5,9}, {2,9}, {3,7}, {2,14}, {1,8} }; // ETB15.7 (= ET15.12) // Bipartite(3,12) Valencies [8,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 82944 EdgesBipt[15][7]:={ {3,4}, {1,5}, {1,4}, {1,7}, {3,15}, {3,10}, {1,13}, {1,10}, {3,7}, {2,11}, {2,14}, {1,11}, {2,15}, {1,14}, {3,9}, {2,5}, {3,6}, {1,8}, {2,9}, {3,12}, {2,8}, {2,6}, {2,12}, {3,13} }; // ETB15.8 (= ET15.13) // Bipartite(5,10) Valencies [8,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[15][8]:={ {4,6}, {3,10}, {5,13}, {1,14}, {4,7}, {1,7}, {3,8}, {3,14}, {4,15}, {3,6}, {3,15}, {4,14}, {5,6}, {5,8}, {5,12}, {5,15}, {3,11}, {2,7}, {1,12}, {2,13}, {1,13}, {4,9}, {4,11}, {3,9}, {1,11}, {5,7}, {5,11}, {2,8}, {2,15}, {1,9}, {3,13}, {2,10}, {2,12}, {4,10}, {2,9}, {4,12}, {2,14}, {1,8}, {1,6}, {5,10} }; // ETB15.9 (= ET15.14) // Bipartite(7,8) Valencies [8,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 203212800 EdgesBipt[15][9]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {3,12}, {7,9}, {2,10}, {7,12}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {7,8}, {6,12}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {3,8}, {3,9}, {2,12}, {6,15}, {5,8}, {5,9}, {4,12}, {1,15}, {7,10}, {3,11}, {3,15}, {7,15}, {2,15}, {3,14}, {4,15}, {5,14}, {3,13}, {1,8}, {1,13}, {5,13}, {2,9}, {6,11}, {1,9}, {2,13}, {4,14}, {2,8}, {7,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB15.10 (= ET15.17) // Bipartite(6,9) Valencies [9,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 261273600 EdgesBipt[15][10]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {6,12}, {5,11}, {6,10}, {4,7}, {1,12}, {5,15}, {3,8}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {5,9}, {4,12}, {5,7}, {1,7}, {1,15}, {2,7}, {3,11}, {3,7}, {3,15}, {2,15}, {3,14}, {4,15}, {5,14}, {3,13}, {1,8}, {1,13}, {2,9}, {5,13}, {6,11}, {1,9}, {2,13}, {4,14}, {2,8}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB15.11 (= ET15.18) // Bipartite(5,10) Valencies [10,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 435456000 EdgesBipt[15][11]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {1,6}, {2,6}, {5,11}, {4,7}, {1,12}, {5,15}, {3,8}, {3,9}, {2,12}, {5,8}, {4,6}, {5,9}, {4,12}, {5,7}, {1,7}, {1,15}, {2,7}, {3,11}, {3,7}, {3,15}, {5,6}, {2,15}, {3,14}, {4,15}, {3,6}, {5,14}, {3,13}, {1,8}, {1,13}, {2,9}, {5,13}, {1,9}, {2,13}, {4,14}, {2,8}, {1,11}, {3,10} }; // ETB15.12 (= ET15.20) // Bipartite(4,11) Valencies [11,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 958003200 EdgesBipt[15][12]:={ {2,11}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {1,6}, {3,5}, {2,6}, {4,7}, {1,12}, {3,8}, {3,9}, {2,12}, {4,6}, {4,12}, {1,7}, {1,15}, {2,7}, {3,11}, {3,7}, {3,15}, {2,15}, {3,14}, {2,5}, {4,5}, {1,5}, {4,15}, {3,6}, {3,13}, {1,8}, {1,13}, {2,9}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {3,10} }; // ETB15.13 (= ET15.21) // Bipartite(3,12) Valencies [12,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2874009600 EdgesBipt[15][13]:={ {3,4}, {1,5}, {1,4}, {1,7}, {3,15}, {1,12}, {3,10}, {1,13}, {1,10}, {2,13}, {1,15}, {2,11}, {3,7}, {3,11}, {2,14}, {2,10}, {3,5}, {2,4}, {2,15}, {1,11}, {1,6}, {3,14}, {1,14}, {2,5}, {3,9}, {3,6}, {2,7}, {1,8}, {2,9}, {1,9}, {3,12}, {2,8}, {2,6}, {2,12}, {3,8}, {3,13} }; // ETB15.14 (= ET15.23) // Bipartite(2,13) Valencies [13,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12454041600 EdgesBipt[15][14]:={ {1,13}, {1,14}, {2,3}, {2,6}, {2,14}, {1,3}, {1,4}, {1,9}, {1,8}, {2,5}, {1,15}, {1,5}, {2,7}, {1,10}, {2,10}, {1,6}, {2,12}, {2,13}, {1,11}, {2,15}, {2,4}, {1,12}, {1,7}, {2,11}, {2,8}, {2,9} }; // ETB15.15 (= ET15.24) // Bipartite(1,14) Valencies [14,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 87178291200 EdgesBipt[15][15]:={ {1,3}, {1,8}, {1,5}, {1,11}, {1,14}, {1,15}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {1,2}, {1,13}, {1,12} }; // Total number of connected ET bipartite graphs of order 15 is 15 // ******************************************************************************************** // Order 16 // ETB16.1 (= ET16.1) // Bipartite(8,8) Valencies [2,2] // Diameter 8 Girth 16 // Twin-free VT AT // Automorphism group of order 32 EdgesBipt[16][1]:={ {6,14}, {6,11}, {7,15}, {3,10}, {1,9}, {5,13}, {1,16}, {3,12}, {8,16}, {8,15}, {4,12}, {2,9}, {5,11}, {2,10}, {4,13}, {7,14} }; // ETB16.2 (= ET16.2) // Bipartite(8,8) Valencies [3,3] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 96 EdgesBipt[16][2]:={ {1,13}, {4,14}, {1,14}, {4,11}, {6,13}, {3,9}, {7,11}, {7,12}, {2,14}, {8,12}, {5,16}, {1,9}, {3,15}, {6,16}, {2,10}, {2,12}, {5,11}, {6,15}, {8,16}, {7,13}, {4,15}, {8,9}, {5,10}, {3,10} }; // ETB16.3 (= ET16.3) // Bipartite(8,8) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 384 EdgesBipt[16][3]:={ {6,15}, {5,14}, {1,14}, {7,16}, {2,11}, {3,15}, {8,12}, {7,15}, {8,15}, {6,10}, {1,16}, {1,10}, {6,16}, {8,10}, {4,14}, {5,12}, {3,11}, {2,13}, {4,9}, {6,11}, {8,9}, {5,11}, {7,13}, {2,16}, {3,12}, {7,9}, {3,13}, {1,9}, {4,13}, {4,12}, {2,14}, {5,10} }; // ETB16.4 (= ET16.4) // Bipartite(8,8) Valencies [4,4] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 4096 EdgesBipt[16][4]:={ {8,13}, {6,10}, {3,15}, {5,14}, {4,9}, {7,16}, {7,15}, {8,9}, {6,14}, {7,11}, {8,15}, {1,13}, {1,10}, {3,16}, {6,12}, {6,16}, {3,11}, {4,13}, {2,14}, {5,9}, {2,10}, {4,15}, {4,11}, {1,14}, {8,11}, {5,13}, {5,10}, {2,16}, {1,9}, {3,12}, {7,12}, {2,12} }; // ETB16.5 (= ET16.5) // Bipartite(6,10) Valencies [5,3] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 60 EdgesBipt[16][5]:={ {6,15}, {5,13}, {4,7}, {1,7}, {3,14}, {2,11}, {4,15}, {6,8}, {4,8}, {1,16}, {1,10}, {6,16}, {5,12}, {5,15}, {2,13}, {6,9}, {6,14}, {4,11}, {3,9}, {1,11}, {5,16}, {2,8}, {3,12}, {1,9}, {3,13}, {2,10}, {3,7}, {4,12}, {2,14}, {5,10} }; // ETB16.6 (= ET16.7) // Bipartite(4,12) Valencies [6,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10368 EdgesBipt[16][6]:={ {1,5}, {4,10}, {3,15}, {1,16}, {1,12}, {1,13}, {3,16}, {4,14}, {2,13}, {3,11}, {3,7}, {2,14}, {2,10}, {4,15}, {4,11}, {2,5}, {4,7}, {1,8}, {2,9}, {4,6}, {3,12}, {1,9}, {2,6}, {3,8} }; // ETB16.7 (= ET16.8) // Bipartite(4,12) Valencies [6,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[16][7]:={ {1,5}, {4,10}, {3,15}, {1,7}, {1,16}, {4,9}, {1,13}, {1,10}, {4,14}, {3,7}, {2,11}, {2,14}, {4,15}, {1,11}, {3,9}, {2,5}, {3,6}, {4,16}, {3,12}, {2,8}, {2,6}, {2,12}, {3,13}, {4,8} }; // ETB16.8 (= ET16.9) // Bipartite(8,8) Valencies [6,6] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 12288 EdgesBipt[16][8]:={ {7,10}, {3,16}, {6,13}, {7,14}, {6,15}, {3,10}, {5,13}, {5,14}, {1,14}, {7,16}, {2,11}, {3,14}, {4,15}, {3,15}, {8,11}, {8,12}, {4,16}, {7,15}, {8,16}, {8,15}, {6,10}, {1,16}, {1,10}, {5,12}, {3,11}, {1,12}, {2,13}, {1,13}, {6,9}, {4,9}, {6,14}, {6,11}, {4,11}, {8,9}, {7,11}, {5,16}, {8,13}, {3,12}, {2,15}, {7,12}, {1,9}, {4,13}, {2,10}, {5,9}, {2,9}, {4,12}, {2,14}, {5,10} }; // ETB16.9 (= ET16.12) // Bipartite(8,8) Valencies [7,7] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 80640 EdgesBipt[16][9]:={ {5,12}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {3,12}, {7,9}, {2,10}, {7,12}, {8,16}, {8,11}, {6,14}, {4,11}, {4,10}, {5,10}, {8,15}, {6,12}, {7,13}, {6,10}, {5,11}, {5,15}, {1,12}, {4,16}, {3,9}, {2,12}, {5,9}, {5,16}, {6,16}, {8,10}, {2,16}, {7,10}, {1,15}, {3,11}, {3,16}, {1,16}, {3,15}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {4,15}, {1,13}, {8,14}, {5,13}, {2,9}, {6,11}, {1,9}, {2,13}, {4,14}, {7,14}, {1,11}, {6,13}, {3,10}, {6,9} }; // ETB16.10 (= ET16.13) // Bipartite(8,8) Valencies [8,8] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 3251404800 EdgesBipt[16][10]:={ {2,11}, {5,12}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {8,9}, {7,12}, {8,16}, {1,10}, {6,14}, {8,11}, {4,11}, {4,10}, {5,10}, {8,15}, {6,12}, {7,13}, {6,10}, {5,11}, {5,15}, {1,12}, {4,16}, {3,9}, {2,12}, {6,15}, {5,9}, {5,16}, {6,16}, {8,10}, {4,12}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {4,15}, {5,14}, {3,13}, {1,13}, {8,14}, {5,13}, {2,9}, {6,11}, {1,9}, {2,13}, {4,14}, {7,14}, {1,11}, {6,13}, {3,10}, {6,9} }; // ETB16.11 (= ET16.14) // Bipartite(4,12) Valencies [9,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31104 EdgesBipt[16][11]:={ {3,16}, {3,10}, {4,5}, {1,14}, {4,7}, {2,11}, {3,8}, {3,14}, {1,5}, {4,15}, {3,6}, {3,15}, {4,8}, {4,16}, {1,16}, {1,10}, {3,11}, {2,7}, {1,12}, {2,13}, {1,13}, {4,9}, {4,11}, {2,6}, {3,12}, {2,15}, {1,9}, {2,5}, {4,13}, {2,10}, {2,9}, {3,7}, {4,12}, {2,14}, {1,8}, {1,6} }; // ETB16.12 (= ET16.15) // Bipartite(7,9) Valencies [9,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1828915200 EdgesBipt[16][12]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {7,12}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {7,8}, {6,12}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {7,15}, {2,15}, {3,14}, {4,15}, {5,14}, {3,13}, {1,8}, {1,13}, {2,9}, {5,13}, {6,11}, {1,9}, {2,13}, {4,14}, {2,8}, {7,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB16.13 (= ET16.17) // Bipartite(6,10) Valencies [10,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2612736000 EdgesBipt[16][13]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {6,12}, {5,11}, {6,10}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {5,7}, {2,16}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {2,15}, {3,14}, {4,15}, {5,14}, {3,13}, {1,8}, {1,13}, {2,9}, {5,13}, {6,11}, {1,9}, {2,13}, {4,14}, {2,8}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB16.14 (= ET16.19) // Bipartite(5,11) Valencies [11,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4790016000 EdgesBipt[16][14]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {1,6}, {2,6}, {5,11}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {5,8}, {4,6}, {5,9}, {5,16}, {4,12}, {5,7}, {2,16}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {5,6}, {2,15}, {3,14}, {4,15}, {3,6}, {5,14}, {3,13}, {1,8}, {1,13}, {2,9}, {5,13}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {3,10} }; // ETB16.15 (= ET16.20) // Bipartite(4,12) Valencies [12,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11496038400 EdgesBipt[16][15]:={ {2,11}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {1,6}, {3,5}, {2,6}, {4,7}, {1,12}, {3,8}, {4,16}, {3,9}, {2,12}, {4,6}, {4,12}, {2,16}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {2,15}, {3,14}, {2,5}, {4,5}, {1,5}, {4,15}, {3,6}, {3,13}, {1,8}, {1,13}, {2,9}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {3,10} }; // ETB16.16 (= ET16.22) // Bipartite(3,13) Valencies [13,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37362124800 EdgesBipt[16][16]:={ {2,11}, {2,14}, {1,14}, {3,12}, {2,10}, {1,10}, {1,6}, {3,5}, {2,6}, {1,4}, {1,12}, {3,8}, {3,9}, {2,12}, {2,4}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,15}, {2,15}, {3,14}, {2,5}, {1,5}, {3,6}, {3,13}, {1,8}, {1,13}, {2,9}, {1,9}, {2,13}, {2,8}, {1,11}, {3,10} }; // ETB16.17 (= ET16.23) // Bipartite(2,14) Valencies [14,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 174356582400 EdgesBipt[16][17]:={ {1,13}, {1,16}, {1,14}, {2,3}, {2,6}, {2,14}, {1,3}, {1,4}, {1,9}, {1,8}, {2,5}, {1,15}, {1,5}, {2,7}, {1,10}, {2,10}, {1,6}, {2,12}, {2,13}, {1,11}, {2,15}, {2,16}, {2,4}, {1,12}, {1,7}, {2,11}, {2,8}, {2,9} }; // ETB16.18 (= ET16.25) // Bipartite(1,15) Valencies [15,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 1307674368000 EdgesBipt[16][18]:={ {1,3}, {1,8}, {1,5}, {1,11}, {1,14}, {1,15}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {1,2}, {1,16}, {1,13}, {1,12} }; // Total number of connected ET bipartite graphs of order 16 is 18 // ******************************************************************************************** // Order 17 // ETB17.1 (= ET17.4) // Bipartite(8,9) Valencies [9,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14631321600 EdgesBipt[17][1]:={ {2,11}, {5,12}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {8,9}, {7,12}, {8,16}, {1,10}, {6,14}, {8,11}, {4,11}, {4,10}, {5,10}, {8,15}, {6,12}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {4,16}, {3,9}, {2,12}, {6,15}, {5,9}, {5,16}, {6,16}, {8,10}, {4,12}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {3,17}, {5,17}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {4,17}, {4,15}, {1,17}, {5,14}, {2,17}, {3,13}, {6,17}, {1,13}, {8,14}, {5,13}, {2,9}, {7,17}, {6,11}, {1,9}, {2,13}, {4,14}, {7,14}, {1,11}, {8,17}, {6,13}, {3,10}, {6,9} }; // ETB17.2 (= ET17.5) // Bipartite(7,10) Valencies [10,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18289152000 EdgesBipt[17][2]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {7,12}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {7,8}, {6,12}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {3,17}, {5,17}, {7,15}, {2,15}, {3,14}, {4,17}, {4,15}, {1,17}, {5,14}, {2,17}, {3,13}, {6,17}, {1,8}, {1,13}, {2,9}, {5,13}, {7,17}, {6,11}, {1,9}, {2,13}, {4,14}, {2,8}, {7,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB17.3 (= ET17.6) // Bipartite(6,11) Valencies [11,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 28740096000 EdgesBipt[17][3]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {6,12}, {5,11}, {6,10}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {5,7}, {2,16}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {3,17}, {5,17}, {2,15}, {3,14}, {4,17}, {4,15}, {1,17}, {5,14}, {2,17}, {3,13}, {6,17}, {1,8}, {1,13}, {2,9}, {5,13}, {6,11}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB17.4 (= ET17.7) // Bipartite(5,12) Valencies [12,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 57480192000 EdgesBipt[17][4]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {1,6}, {2,6}, {5,11}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {5,8}, {4,6}, {5,9}, {5,16}, {4,12}, {5,7}, {2,16}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {3,17}, {5,17}, {5,6}, {2,15}, {3,14}, {4,17}, {4,15}, {1,17}, {3,6}, {5,14}, {2,17}, {3,13}, {1,8}, {1,13}, {2,9}, {5,13}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {3,10} }; // ETB17.5 (= ET17.8) // Bipartite(4,13) Valencies [13,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 149448499200 EdgesBipt[17][5]:={ {2,11}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {1,6}, {3,5}, {2,6}, {4,7}, {1,12}, {3,8}, {4,16}, {3,9}, {2,12}, {4,6}, {4,12}, {2,16}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,15}, {3,17}, {2,15}, {3,14}, {2,5}, {4,5}, {4,17}, {1,5}, {4,15}, {1,17}, {3,6}, {2,17}, {3,13}, {1,8}, {1,13}, {2,9}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {3,10} }; // ETB17.6 (= ET17.9) // Bipartite(3,14) Valencies [14,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 523069747200 EdgesBipt[17][6]:={ {2,11}, {2,14}, {1,14}, {3,12}, {2,10}, {1,10}, {1,6}, {3,5}, {2,6}, {1,4}, {1,12}, {3,8}, {3,9}, {2,12}, {2,4}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,15}, {3,17}, {2,15}, {3,14}, {2,5}, {1,5}, {1,17}, {3,6}, {2,17}, {3,13}, {1,8}, {1,13}, {2,9}, {1,9}, {2,13}, {2,8}, {1,11}, {3,10} }; // ETB17.7 (= ET17.10) // Bipartite(2,15) Valencies [15,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2615348736000 EdgesBipt[17][7]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,3}, {1,17}, {1,13}, {1,10}, {2,13}, {1,15}, {2,11}, {2,14}, {2,10}, {1,11}, {2,4}, {2,15}, {1,6}, {1,14}, {2,5}, {2,17}, {2,16}, {2,7}, {1,8}, {2,3}, {2,9}, {1,9}, {2,8}, {2,6}, {2,12} }; // ETB17.8 (= ET17.11) // Bipartite(1,16) Valencies [16,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 20922789888000 EdgesBipt[17][8]:={ {1,3}, {1,8}, {1,5}, {1,11}, {1,14}, {1,15}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {1,2}, {1,16}, {1,13}, {1,17}, {1,12} }; // Total number of connected ET bipartite graphs of order 17 is 8 // ******************************************************************************************** // Order 18 // ETB18.1 (= ET18.1) // Bipartite(9,9) Valencies [2,2] // Diameter 9 Girth 18 // Twin-free VT AT // Automorphism group of order 36 EdgesBipt[18][1]:={ {4,14}, {6,18}, {8,10}, {9,11}, {2,14}, {4,18}, {5,16}, {9,13}, {8,15}, {1,10}, {5,17}, {3,12}, {6,15}, {3,16}, {1,12}, {7,17}, {7,13}, {2,11} }; // ETB18.2 (= ET18.2) // Bipartite(9,9) Valencies [3,3] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 216 EdgesBipt[18][2]:={ {5,12}, {4,10}, {5,11}, {6,17}, {1,16}, {1,12}, {9,13}, {8,15}, {9,15}, {1,10}, {5,18}, {3,16}, {6,12}, {2,11}, {2,14}, {4,15}, {3,14}, {8,11}, {7,10}, {2,17}, {8,16}, {4,17}, {7,14}, {9,18}, {7,18}, {3,13}, {6,13} }; // ETB18.3 (= ET18.3) // Bipartite(6,12) Valencies [4,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 48 EdgesBipt[18][3]:={ {5,12}, {6,10}, {4,10}, {1,7}, {6,14}, {1,17}, {1,13}, {5,18}, {3,16}, {3,11}, {2,14}, {4,11}, {4,18}, {6,15}, {5,7}, {5,15}, {3,9}, {2,17}, {2,16}, {1,9}, {3,12}, {2,8}, {4,8}, {6,13} }; // ETB18.4 (= ET18.4) // Bipartite(6,12) Valencies [4,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[18][4]:={ {5,12}, {4,10}, {5,11}, {3,15}, {1,7}, {5,17}, {6,7}, {3,10}, {1,13}, {6,18}, {5,18}, {3,16}, {6,12}, {2,14}, {2,15}, {4,11}, {1,14}, {3,9}, {4,16}, {1,8}, {4,17}, {2,9}, {2,8}, {6,13} }; // ETB18.5 (= ET18.5) // Bipartite(9,9) Valencies [4,4] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 144 EdgesBipt[18][5]:={ {7,10}, {3,16}, {6,13}, {9,16}, {5,14}, {2,11}, {3,14}, {4,15}, {3,18}, {8,11}, {9,11}, {7,15}, {4,16}, {8,15}, {6,18}, {4,18}, {9,13}, {1,16}, {1,10}, {8,10}, {5,12}, {5,15}, {3,17}, {1,12}, {1,13}, {6,17}, {6,11}, {7,18}, {8,17}, {5,17}, {9,14}, {7,13}, {2,10}, {2,12}, {4,12}, {2,14} }; // ETB18.6 (= ET18.7) // Bipartite(6,12) Valencies [6,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31104 EdgesBipt[18][6]:={ {6,7}, {6,15}, {5,13}, {5,14}, {5,18}, {2,17}, {1,7}, {1,15}, {3,15}, {4,8}, {4,16}, {6,18}, {4,18}, {6,10}, {1,16}, {4,14}, {3,17}, {3,11}, {1,12}, {2,13}, {6,14}, {6,11}, {3,9}, {1,11}, {5,17}, {2,8}, {2,16}, {3,13}, {2,12}, {4,10}, {5,9}, {2,9}, {3,7}, {4,12}, {5,10}, {1,8} }; // ETB18.7 (= ET18.8) // Bipartite(9,9) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 216 EdgesBipt[18][7]:={ {2,11}, {5,12}, {2,14}, {4,13}, {7,11}, {7,16}, {2,10}, {8,16}, {8,11}, {6,14}, {1,10}, {4,11}, {5,10}, {8,15}, {6,12}, {6,10}, {9,15}, {5,15}, {1,12}, {9,11}, {4,16}, {5,16}, {4,12}, {4,18}, {2,16}, {7,10}, {1,15}, {3,11}, {1,16}, {3,15}, {7,18}, {3,17}, {9,12}, {7,15}, {5,17}, {8,13}, {8,12}, {3,18}, {1,18}, {6,18}, {9,18}, {5,14}, {2,17}, {9,14}, {3,13}, {6,17}, {1,13}, {2,13}, {4,14}, {7,14}, {8,17}, {6,13}, {9,17}, {3,10} }; // ETB18.8 (= ET18.9) // Bipartite(9,9) Valencies [6,6] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 559872 EdgesBipt[18][8]:={ {2,11}, {2,14}, {4,13}, {7,16}, {3,12}, {2,10}, {7,12}, {8,16}, {8,11}, {6,14}, {1,10}, {4,10}, {5,10}, {6,12}, {7,13}, {5,11}, {9,15}, {1,12}, {9,11}, {4,16}, {6,15}, {5,16}, {8,10}, {4,12}, {4,18}, {2,16}, {7,10}, {1,15}, {3,11}, {1,16}, {3,15}, {7,18}, {3,17}, {9,12}, {7,15}, {5,17}, {8,13}, {3,14}, {3,18}, {1,18}, {4,15}, {6,18}, {9,18}, {5,14}, {2,17}, {9,14}, {6,17}, {1,13}, {8,14}, {5,13}, {6,11}, {2,13}, {8,17}, {9,17} }; // ETB18.9 (= ET18.10) // Bipartite(6,12) Valencies [8,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 663552 EdgesBipt[18][9]:={ {6,7}, {3,16}, {6,13}, {6,15}, {3,10}, {4,17}, {5,14}, {1,14}, {4,7}, {5,18}, {2,17}, {1,7}, {2,11}, {3,18}, {3,15}, {4,8}, {4,16}, {6,18}, {6,12}, {6,10}, {1,16}, {1,10}, {6,16}, {4,14}, {5,8}, {5,12}, {5,15}, {1,17}, {1,13}, {6,9}, {2,18}, {4,11}, {3,9}, {1,11}, {5,11}, {5,17}, {2,8}, {3,12}, {2,15}, {3,13}, {4,13}, {2,12}, {4,10}, {5,9}, {2,9}, {3,7}, {2,14}, {1,8} }; // ETB18.10 (= ET18.11) // Bipartite(9,9) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 725760 EdgesBipt[18][10]:={ {2,11}, {5,12}, {2,14}, {4,13}, {1,14}, {7,11}, {7,16}, {2,10}, {9,16}, {7,12}, {8,16}, {1,10}, {6,14}, {8,11}, {4,11}, {4,10}, {5,10}, {6,12}, {7,13}, {6,10}, {5,11}, {9,15}, {5,15}, {1,12}, {9,11}, {4,16}, {2,12}, {6,15}, {5,16}, {8,10}, {4,12}, {4,18}, {2,16}, {7,10}, {1,15}, {3,11}, {3,16}, {1,16}, {3,15}, {3,17}, {2,18}, {9,12}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {3,18}, {4,17}, {1,18}, {4,15}, {9,13}, {1,17}, {6,18}, {9,18}, {5,14}, {2,17}, {5,18}, {9,14}, {3,13}, {6,17}, {1,13}, {8,14}, {8,18}, {5,13}, {7,17}, {6,11}, {7,14}, {8,17}, {6,13}, {9,17}, {3,10} }; // ETB18.11 (= ET18.13) // Bipartite(9,9) Valencies [9,9] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 263363788800 EdgesBipt[18][11]:={ {2,11}, {5,12}, {2,14}, {4,13}, {1,14}, {7,11}, {7,16}, {3,12}, {2,10}, {9,16}, {7,12}, {8,16}, {1,10}, {6,14}, {8,11}, {4,11}, {4,10}, {5,10}, {8,15}, {6,12}, {7,13}, {5,11}, {6,10}, {9,15}, {5,15}, {1,12}, {9,11}, {4,16}, {2,12}, {6,15}, {5,16}, {6,16}, {8,10}, {4,12}, {4,18}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {9,10}, {7,18}, {3,17}, {2,18}, {9,12}, {5,17}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {3,18}, {4,17}, {1,18}, {4,15}, {9,13}, {1,17}, {6,18}, {9,18}, {5,14}, {2,17}, {5,18}, {9,14}, {3,13}, {6,17}, {1,13}, {8,14}, {8,18}, {5,13}, {7,17}, {6,11}, {2,13}, {4,14}, {7,14}, {1,11}, {8,17}, {6,13}, {9,17}, {3,10} }; // ETB18.12 (= ET18.14) // Bipartite(3,15) Valencies [10,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10368000 EdgesBipt[18][12]:={ {1,4}, {3,16}, {3,10}, {1,14}, {2,17}, {1,7}, {2,11}, {1,5}, {3,6}, {3,18}, {3,15}, {3,4}, {1,16}, {1,10}, {1,17}, {1,13}, {2,18}, {3,9}, {1,11}, {2,6}, {2,8}, {3,12}, {2,15}, {3,13}, {2,5}, {2,12}, {2,9}, {3,7}, {2,14}, {1,8} }; // ETB18.13 (= ET18.15) // Bipartite(6,12) Valencies [10,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46080 EdgesBipt[18][13]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {6,12}, {5,11}, {6,10}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {2,16}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,15}, {3,17}, {2,18}, {5,17}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {6,18}, {5,14}, {2,17}, {5,18}, {3,13}, {1,13}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {6,13}, {6,8}, {6,9} }; // ETB18.14 (= ET18.16) // Bipartite(8,10) Valencies [10,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 146313216000 EdgesBipt[18][14]:={ {2,11}, {5,12}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {8,9}, {7,12}, {8,16}, {1,10}, {6,14}, {8,11}, {4,11}, {4,10}, {5,10}, {8,15}, {6,12}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {4,16}, {3,9}, {2,12}, {6,15}, {5,9}, {5,16}, {6,16}, {8,10}, {4,12}, {4,18}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {7,18}, {3,17}, {2,18}, {5,17}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {6,18}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,13}, {8,14}, {8,18}, {2,9}, {5,13}, {7,17}, {6,11}, {1,9}, {2,13}, {4,14}, {7,14}, {1,11}, {8,17}, {6,13}, {3,10}, {6,9} }; // ETB18.15 (= ET18.18) // Bipartite(7,11) Valencies [11,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 201180672000 EdgesBipt[18][15]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {7,12}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {7,8}, {6,12}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {2,16}, {4,18}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {7,18}, {3,17}, {2,18}, {5,17}, {7,15}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {6,18}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {2,9}, {5,13}, {7,17}, {6,11}, {1,9}, {2,13}, {2,8}, {4,14}, {7,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB18.16 (= ET18.19) // Bipartite(6,12) Valencies [12,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 344881152000 EdgesBipt[18][16]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {6,12}, {5,11}, {6,10}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {3,17}, {2,18}, {5,17}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {6,18}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {2,9}, {5,13}, {6,11}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB18.17 (= ET18.21) // Bipartite(5,13) Valencies [13,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 747242496000 EdgesBipt[18][17]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {1,6}, {2,6}, {5,11}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {5,8}, {4,6}, {5,9}, {5,16}, {4,12}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {3,17}, {2,18}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {3,6}, {5,14}, {2,17}, {5,18}, {3,13}, {1,8}, {1,13}, {2,9}, {5,13}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {3,10} }; // ETB18.18 (= ET18.22) // Bipartite(4,14) Valencies [14,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2092278988800 EdgesBipt[18][18]:={ {2,11}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {1,6}, {3,5}, {2,6}, {4,7}, {1,12}, {3,8}, {4,16}, {3,9}, {2,12}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {3,6}, {2,17}, {3,13}, {1,8}, {1,13}, {2,9}, {1,9}, {2,13}, {2,8}, {4,14}, {1,11}, {3,10} }; // ETB18.19 (= ET18.23) // Bipartite(3,15) Valencies [15,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7846046208000 EdgesBipt[18][19]:={ {2,11}, {2,14}, {1,14}, {3,12}, {2,10}, {1,10}, {1,6}, {3,5}, {2,6}, {1,4}, {1,12}, {3,8}, {3,9}, {2,12}, {2,4}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {1,5}, {1,17}, {3,6}, {2,17}, {3,13}, {1,8}, {1,13}, {2,9}, {1,9}, {2,13}, {2,8}, {1,11}, {3,10} }; // ETB18.20 (= ET18.25) // Bipartite(2,16) Valencies [16,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 41845579776000 EdgesBipt[18][20]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,3}, {1,17}, {1,13}, {1,10}, {2,18}, {2,13}, {1,15}, {2,11}, {2,14}, {2,10}, {1,11}, {2,4}, {2,15}, {1,6}, {1,14}, {2,5}, {1,18}, {2,17}, {2,16}, {2,7}, {1,8}, {2,3}, {2,9}, {1,9}, {2,8}, {2,6}, {2,12} }; // ETB18.21 (= ET18.27) // Bipartite(1,17) Valencies [17,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 355687428096000 EdgesBipt[18][21]:={ {1,3}, {1,8}, {1,5}, {1,11}, {1,14}, {1,15}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {1,2}, {1,16}, {1,13}, {1,17}, {1,18}, {1,12} }; // Total number of connected ET bipartite graphs of order 18 is 21 // ******************************************************************************************** // Order 19 // ETB19.1 (= ET19.3) // Bipartite(9,10) Valencies [10,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1316818944000 EdgesBipt[19][1]:={ {2,11}, {5,12}, {2,14}, {4,13}, {8,19}, {9,19}, {1,14}, {7,11}, {7,16}, {3,12}, {2,10}, {9,16}, {7,12}, {8,16}, {1,10}, {6,14}, {8,11}, {4,11}, {4,10}, {5,10}, {8,15}, {6,12}, {7,13}, {5,11}, {6,10}, {9,15}, {1,12}, {5,15}, {9,11}, {4,16}, {2,12}, {6,15}, {5,16}, {6,16}, {8,10}, {4,12}, {4,18}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {9,10}, {7,18}, {3,17}, {5,19}, {2,18}, {9,12}, {3,19}, {5,17}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {3,18}, {4,17}, {1,18}, {4,15}, {9,13}, {1,17}, {7,19}, {6,18}, {6,19}, {2,19}, {9,18}, {5,14}, {2,17}, {5,18}, {9,14}, {3,13}, {6,17}, {1,13}, {8,14}, {8,18}, {5,13}, {1,19}, {7,17}, {6,11}, {2,13}, {4,14}, {4,19}, {7,14}, {1,11}, {8,17}, {6,13}, {9,17}, {3,10} }; // ETB19.2 (= ET19.4) // Bipartite(8,11) Valencies [11,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1609445376000 EdgesBipt[19][2]:={ {2,11}, {5,12}, {2,14}, {4,13}, {4,9}, {8,19}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {8,9}, {7,12}, {8,16}, {1,10}, {6,14}, {8,11}, {4,11}, {4,10}, {5,10}, {8,15}, {6,12}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {4,16}, {3,9}, {2,12}, {6,15}, {5,9}, {5,16}, {6,16}, {8,10}, {4,12}, {4,18}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {7,18}, {3,17}, {5,19}, {2,18}, {3,19}, {5,17}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {7,19}, {6,18}, {6,19}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,13}, {8,14}, {8,18}, {1,19}, {2,9}, {5,13}, {7,17}, {6,11}, {1,9}, {2,13}, {4,14}, {4,19}, {7,14}, {1,11}, {8,17}, {6,13}, {3,10}, {6,9} }; // ETB19.3 (= ET19.5) // Bipartite(7,12) Valencies [12,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2414168064000 EdgesBipt[19][3]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {7,12}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {7,8}, {6,12}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {2,16}, {4,18}, {1,15}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {7,18}, {3,17}, {5,19}, {2,18}, {3,19}, {5,17}, {7,15}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {7,19}, {6,18}, {6,19}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {7,17}, {6,11}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {7,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB19.4 (= ET19.6) // Bipartite(6,13) Valencies [13,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4483454976000 EdgesBipt[19][4]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {6,12}, {5,11}, {6,10}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {3,17}, {5,19}, {2,18}, {3,19}, {5,17}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {6,18}, {6,19}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {6,11}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB19.5 (= ET19.7) // Bipartite(5,14) Valencies [14,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10461394944000 EdgesBipt[19][5]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {1,6}, {2,6}, {5,11}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {5,8}, {4,6}, {5,9}, {5,16}, {4,12}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,15}, {3,17}, {5,19}, {2,18}, {3,19}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {3,6}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {3,10} }; // ETB19.6 (= ET19.8) // Bipartite(4,15) Valencies [15,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31384184832000 EdgesBipt[19][6]:={ {2,11}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {1,6}, {3,5}, {2,6}, {4,7}, {1,12}, {3,8}, {4,16}, {3,9}, {2,12}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {3,10} }; // ETB19.7 (= ET19.9) // Bipartite(3,16) Valencies [16,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 125536739328000 EdgesBipt[19][7]:={ {2,11}, {2,14}, {1,14}, {3,12}, {2,10}, {1,10}, {1,6}, {3,5}, {2,6}, {1,4}, {1,12}, {3,8}, {3,9}, {2,12}, {2,4}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {1,5}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {2,13}, {2,8}, {1,11}, {3,10} }; // ETB19.8 (= ET19.10) // Bipartite(2,17) Valencies [17,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 711374856192000 EdgesBipt[19][8]:={ {1,4}, {1,3}, {1,14}, {2,17}, {1,7}, {2,11}, {2,19}, {1,5}, {1,15}, {1,16}, {1,10}, {2,7}, {1,12}, {2,13}, {1,13}, {1,17}, {2,3}, {2,18}, {2,4}, {1,11}, {1,19}, {1,18}, {2,6}, {2,8}, {2,16}, {2,15}, {1,9}, {2,5}, {2,10}, {2,12}, {2,9}, {2,14}, {1,8}, {1,6} }; // ETB19.9 (= ET19.11) // Bipartite(1,18) Valencies [18,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 6402373705728000 EdgesBipt[19][9]:={ {1,3}, {1,8}, {1,5}, {1,11}, {1,19}, {1,14}, {1,15}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {1,2}, {1,16}, {1,13}, {1,17}, {1,18}, {1,12} }; // Total number of connected ET bipartite graphs of order 19 is 9 // ******************************************************************************************** // Order 20 // ETB20.1 (= ET20.1) // Bipartite(10,10) Valencies [2,2] // Diameter 10 Girth 20 // Twin-free VT AT // Automorphism group of order 40 EdgesBipt[20][1]:={ {4,14}, {3,14}, {10,19}, {6,18}, {1,20}, {9,19}, {4,17}, {9,16}, {10,20}, {8,13}, {5,18}, {2,12}, {5,17}, {3,12}, {1,11}, {6,15}, {8,16}, {7,13}, {2,11}, {7,15} }; // ETB20.2 (= ET20.2) // Bipartite(8,12) Valencies [3,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 48 EdgesBipt[20][2]:={ {4,10}, {6,17}, {7,15}, {6,14}, {7,11}, {3,17}, {2,19}, {5,18}, {3,16}, {2,13}, {1,15}, {3,11}, {7,19}, {5,9}, {5,16}, {8,14}, {8,10}, {4,12}, {1,20}, {8,18}, {4,20}, {1,9}, {2,12}, {6,13} }; // ETB20.3 (= ET20.3) // Bipartite(10,10) Valencies [3,3] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[20][3]:={ {6,20}, {3,20}, {3,19}, {10,16}, {10,13}, {2,19}, {9,15}, {8,12}, {10,14}, {6,12}, {4,18}, {1,16}, {8,14}, {4,19}, {5,15}, {1,17}, {6,11}, {7,18}, {4,11}, {5,11}, {8,17}, {1,18}, {5,17}, {9,14}, {7,13}, {2,16}, {2,15}, {7,12}, {3,13}, {9,20} }; // ETB20.4 (= ET20.5) // Bipartite(10,10) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 80 EdgesBipt[20][4]:={ {6,20}, {3,16}, {6,13}, {6,15}, {3,20}, {4,17}, {9,19}, {5,18}, {10,16}, {10,13}, {3,14}, {4,15}, {7,17}, {3,15}, {8,12}, {8,11}, {10,14}, {7,15}, {4,16}, {5,20}, {4,18}, {9,13}, {1,16}, {1,12}, {2,20}, {2,18}, {1,11}, {8,17}, {7,11}, {10,11}, {1,18}, {5,17}, {8,19}, {9,14}, {7,13}, {6,19}, {2,12}, {5,19}, {2,14}, {9,12} }; // ETB20.5 (= ET20.6) // Bipartite(10,10) Valencies [4,4] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 20480 EdgesBipt[20][5]:={ {4,20}, {6,13}, {9,16}, {5,14}, {3,19}, {2,17}, {3,14}, {9,15}, {10,12}, {7,20}, {4,15}, {3,18}, {7,17}, {9,11}, {10,14}, {4,16}, {7,15}, {6,18}, {1,16}, {8,18}, {6,16}, {8,14}, {5,12}, {1,13}, {2,20}, {10,19}, {6,11}, {4,11}, {1,11}, {1,18}, {5,17}, {8,13}, {8,19}, {2,15}, {7,12}, {3,13}, {9,20}, {2,12}, {10,17}, {5,19} }; // ETB20.6 (= ET20.7) // Bipartite(10,10) Valencies [4,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[20][6]:={ {5,12}, {6,19}, {8,13}, {6,14}, {10,15}, {10,19}, {5,20}, {6,18}, {9,15}, {7,13}, {3,16}, {2,18}, {2,13}, {4,15}, {3,20}, {5,19}, {8,14}, {1,11}, {4,11}, {7,17}, {8,20}, {9,16}, {3,14}, {10,20}, {1,14}, {5,15}, {2,17}, {1,18}, {6,11}, {8,16}, {1,19}, {4,16}, {9,17}, {4,17}, {10,12}, {9,11}, {7,18}, {3,13}, {2,12}, {7,12} }; // ETB20.7 (= ET20.9) // Bipartite(5,15) Valencies [6,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 77760 EdgesBipt[20][7]:={ {4,20}, {3,16}, {5,14}, {1,14}, {2,17}, {3,8}, {4,15}, {3,6}, {3,18}, {4,8}, {4,18}, {1,16}, {5,12}, {3,11}, {2,7}, {2,20}, {1,11}, {5,7}, {1,19}, {5,17}, {2,15}, {1,9}, {3,13}, {4,13}, {2,12}, {2,10}, {4,10}, {5,9}, {5,19}, {1,6} }; // ETB20.8 (= ET20.10) // Bipartite(8,12) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[20][8]:={ {6,20}, {8,20}, {4,20}, {7,10}, {3,16}, {6,13}, {6,15}, {3,10}, {5,14}, {3,19}, {5,18}, {2,17}, {7,16}, {2,11}, {3,14}, {4,15}, {1,15}, {7,17}, {3,15}, {4,18}, {8,18}, {6,16}, {8,10}, {8,14}, {3,11}, {1,12}, {1,13}, {6,9}, {2,20}, {6,14}, {4,11}, {5,11}, {8,17}, {1,19}, {1,18}, {5,17}, {8,13}, {7,13}, {2,16}, {7,12}, {1,9}, {2,12}, {4,10}, {5,9}, {2,9}, {5,19}, {4,12}, {7,19} }; // ETB20.9 (= ET20.11) // Bipartite(8,12) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 165888 EdgesBipt[20][9]:={ {1,20}, {3,16}, {6,13}, {3,20}, {5,13}, {3,19}, {2,17}, {7,16}, {7,20}, {4,15}, {3,15}, {8,11}, {5,20}, {7,15}, {6,18}, {8,15}, {4,18}, {6,10}, {1,16}, {8,18}, {8,10}, {4,14}, {8,14}, {5,12}, {4,19}, {3,11}, {1,12}, {2,13}, {1,13}, {1,17}, {6,9}, {6,17}, {6,14}, {2,18}, {4,11}, {7,11}, {5,16}, {5,17}, {8,19}, {3,12}, {7,12}, {1,9}, {2,10}, {4,10}, {5,9}, {2,9}, {7,19}, {2,14} }; // ETB20.10 (= ET20.12) // Bipartite(8,12) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24576 EdgesBipt[20][10]:={ {8,20}, {4,20}, {7,10}, {1,20}, {3,16}, {6,15}, {3,10}, {5,14}, {1,14}, {3,19}, {7,16}, {1,15}, {7,17}, {8,12}, {5,20}, {6,18}, {6,12}, {6,10}, {4,18}, {8,18}, {6,16}, {4,14}, {8,14}, {4,19}, {5,15}, {3,17}, {3,11}, {1,17}, {6,9}, {2,18}, {1,11}, {5,11}, {7,11}, {5,17}, {8,13}, {8,19}, {7,13}, {2,16}, {2,15}, {1,9}, {3,13}, {4,13}, {2,12}, {2,10}, {5,9}, {2,9}, {7,19}, {4,12} }; // ETB20.11 (= ET20.13) // Bipartite(8,12) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3072 EdgesBipt[20][11]:={ {8,20}, {4,20}, {3,16}, {7,14}, {3,10}, {5,13}, {5,18}, {2,19}, {7,20}, {4,15}, {1,15}, {3,15}, {8,12}, {4,16}, {8,16}, {6,18}, {6,12}, {6,10}, {8,18}, {6,16}, {8,10}, {4,14}, {8,14}, {5,12}, {3,17}, {3,11}, {1,17}, {2,13}, {1,13}, {4,9}, {6,17}, {2,20}, {6,11}, {7,18}, {3,9}, {1,11}, {5,11}, {1,19}, {5,17}, {7,13}, {2,15}, {7,12}, {1,9}, {4,10}, {5,19}, {2,9}, {7,19}, {2,14} }; // ETB20.12 (= ET20.14) // Bipartite(10,10) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[20][12]:={ {2,11}, {5,12}, {2,14}, {4,13}, {10,15}, {9,19}, {1,14}, {7,11}, {8,20}, {7,16}, {3,12}, {9,16}, {8,16}, {8,11}, {6,14}, {8,15}, {1,12}, {9,11}, {4,16}, {10,12}, {6,15}, {5,16}, {5,20}, {4,12}, {1,15}, {3,11}, {3,16}, {2,20}, {3,15}, {5,19}, {2,18}, {9,12}, {4,20}, {8,13}, {3,14}, {3,18}, {4,17}, {4,15}, {7,20}, {9,13}, {7,19}, {6,18}, {6,19}, {10,19}, {10,17}, {5,14}, {2,17}, {5,18}, {6,17}, {1,13}, {8,18}, {7,17}, {1,19}, {2,13}, {7,14}, {10,20}, {1,11}, {6,13}, {9,17}, {10,18} }; // ETB20.13 (= ET20.15) // Bipartite(10,10) Valencies [6,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[20][13]:={ {5,12}, {2,14}, {8,19}, {8,20}, {7,16}, {9,20}, {8,11}, {4,11}, {8,15}, {6,12}, {5,11}, {9,15}, {1,12}, {9,11}, {10,12}, {6,15}, {3,20}, {5,16}, {6,16}, {4,12}, {10,13}, {4,18}, {2,16}, {10,16}, {1,15}, {3,11}, {1,16}, {2,20}, {3,15}, {7,18}, {3,17}, {2,18}, {9,12}, {4,20}, {10,11}, {3,19}, {5,17}, {8,13}, {10,14}, {1,18}, {4,15}, {7,20}, {7,19}, {6,18}, {6,19}, {2,19}, {9,18}, {10,17}, {5,14}, {2,17}, {9,14}, {3,13}, {1,13}, {5,13}, {1,19}, {7,17}, {4,14}, {7,14}, {8,17}, {6,13} }; // ETB20.14 (= ET20.20) // Bipartite(4,16) Valencies [8,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2654208 EdgesBipt[20][14]:={ {1,20}, {3,16}, {4,6}, {3,20}, {3,19}, {4,7}, {2,17}, {3,8}, {1,5}, {4,15}, {3,15}, {4,18}, {1,16}, {4,14}, {4,19}, {3,11}, {1,12}, {2,13}, {1,13}, {1,17}, {2,18}, {4,11}, {2,6}, {3,12}, {1,9}, {2,5}, {2,10}, {4,10}, {2,9}, {3,7}, {2,14}, {1,8} }; // ETB20.15 (= ET20.21) // Bipartite(10,10) Valencies [8,8] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 245760 EdgesBipt[20][15]:={ {2,11}, {5,12}, {2,14}, {4,13}, {10,15}, {9,19}, {1,14}, {7,11}, {7,16}, {8,20}, {3,12}, {9,16}, {7,12}, {8,16}, {6,14}, {8,11}, {4,11}, {8,15}, {1,20}, {5,15}, {9,11}, {4,16}, {10,12}, {2,12}, {6,15}, {3,20}, {6,16}, {5,20}, {4,12}, {10,13}, {4,18}, {2,16}, {1,15}, {3,11}, {3,16}, {2,20}, {1,16}, {3,15}, {6,20}, {3,17}, {5,19}, {9,12}, {7,15}, {5,17}, {8,13}, {10,14}, {2,15}, {8,12}, {3,18}, {4,17}, {1,18}, {7,20}, {9,13}, {7,19}, {6,18}, {6,19}, {10,19}, {2,19}, {9,18}, {10,17}, {5,14}, {2,17}, {5,18}, {9,14}, {3,13}, {1,13}, {8,18}, {5,13}, {1,19}, {7,17}, {6,11}, {4,14}, {7,14}, {4,19}, {10,20}, {1,11}, {8,17}, {6,13}, {9,17}, {10,18} }; // ETB20.16 (= ET20.23) // Bipartite(8,12) Valencies [9,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 497664 EdgesBipt[20][16]:={ {2,11}, {5,12}, {2,14}, {4,13}, {4,9}, {8,19}, {1,14}, {7,11}, {7,16}, {8,20}, {3,12}, {2,10}, {8,9}, {7,12}, {8,16}, {1,10}, {6,14}, {8,11}, {4,11}, {5,10}, {8,15}, {6,10}, {1,20}, {1,12}, {4,16}, {6,15}, {3,20}, {5,9}, {5,16}, {5,20}, {4,12}, {7,10}, {3,11}, {3,16}, {1,16}, {3,15}, {7,18}, {2,18}, {4,20}, {3,19}, {5,17}, {7,15}, {8,13}, {2,15}, {3,14}, {8,12}, {3,18}, {4,17}, {1,18}, {4,15}, {7,20}, {1,17}, {7,19}, {6,18}, {6,19}, {2,19}, {5,14}, {2,17}, {5,18}, {6,17}, {1,13}, {5,13}, {2,9}, {6,11}, {1,9}, {2,13}, {4,19}, {7,14}, {8,17}, {6,13}, {3,10}, {6,9} }; // ETB20.17 (= ET20.24) // Bipartite(10,10) Valencies [9,9] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 7257600 EdgesBipt[20][17]:={ {5,12}, {2,14}, {4,13}, {8,19}, {10,15}, {9,19}, {7,11}, {8,20}, {3,12}, {9,20}, {9,16}, {7,12}, {8,16}, {6,14}, {8,11}, {4,11}, {8,15}, {6,12}, {7,13}, {5,11}, {1,20}, {1,12}, {5,15}, {9,11}, {4,16}, {2,12}, {6,15}, {3,20}, {5,16}, {6,16}, {4,12}, {10,13}, {4,18}, {2,16}, {10,16}, {1,15}, {3,11}, {3,16}, {2,20}, {1,16}, {3,15}, {7,18}, {6,20}, {5,19}, {2,18}, {9,12}, {4,20}, {10,11}, {3,19}, {5,17}, {7,15}, {8,13}, {10,14}, {2,15}, {3,14}, {8,12}, {3,18}, {4,17}, {1,18}, {4,15}, {7,20}, {9,13}, {1,17}, {7,19}, {6,18}, {6,19}, {10,19}, {2,19}, {9,18}, {10,17}, {5,14}, {2,17}, {5,18}, {9,14}, {3,13}, {6,17}, {1,13}, {8,14}, {5,13}, {1,19}, {7,17}, {6,11}, {2,13}, {4,14}, {7,14}, {10,20}, {1,11}, {8,17}, {9,17}, {10,18} }; // ETB20.18 (= ET20.26) // Bipartite(10,10) Valencies [10,10] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 26336378880000 EdgesBipt[20][18]:={ {1,15}, {9,13}, {10,19}, {7,19}, {6,12}, {5,14}, {3,15}, {6,18}, {4,14}, {1,11}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {7,11}, {3,19}, {4,12}, {3,18}, {8,15}, {2,14}, {3,11}, {4,20}, {6,11}, {1,17}, {3,13}, {10,12}, {2,16}, {1,16}, {10,13}, {2,17}, {8,18}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,17}, {4,15}, {9,15}, {8,19}, {4,11}, {6,19}, {7,18}, {2,12}, {5,20}, {10,14}, {8,16}, {5,17}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {1,14}, {9,18}, {10,17}, {1,20}, {9,11}, {5,11}, {3,16}, {1,13}, {4,18}, {3,20}, {5,12}, {9,14}, {3,17}, {10,20}, {5,18}, {9,16}, {7,17}, {7,12}, {5,16}, {4,13}, {10,11}, {1,18}, {4,19}, {9,20}, {8,12} }; // ETB20.19 (= ET20.27) // Bipartite(9,11) Valencies [11,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14485008384000 EdgesBipt[20][19]:={ {1,15}, {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {7,15}, {5,13}, {3,10}, {9,10}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {7,11}, {3,19}, {4,12}, {3,18}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {1,10}, {1,17}, {3,13}, {2,16}, {1,16}, {8,10}, {8,18}, {2,17}, {3,14}, {2,13}, {1,12}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,17}, {4,15}, {9,15}, {8,19}, {4,11}, {6,19}, {7,18}, {2,12}, {5,20}, {8,16}, {5,17}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {5,12}, {9,14}, {3,17}, {5,18}, {9,16}, {7,17}, {7,12}, {5,16}, {4,13}, {1,18}, {4,19}, {4,10}, {8,12}, {9,20} }; // ETB20.20 (= ET20.28) // Bipartite(4,16) Valencies [12,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7962624 EdgesBipt[20][20]:={ {2,11}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {1,6}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {4,16}, {3,20}, {4,12}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {2,18}, {4,20}, {3,19}, {2,15}, {3,14}, {3,18}, {2,5}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {3,6}, {2,19}, {2,17}, {1,8}, {1,13}, {2,9}, {1,9}, {2,13}, {4,19}, {3,10} }; // ETB20.21 (= ET20.29) // Bipartite(5,15) Valencies [12,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 933120 EdgesBipt[20][21]:={ {5,12}, {2,14}, {4,9}, {1,14}, {2,10}, {4,11}, {4,10}, {5,10}, {1,6}, {5,11}, {4,7}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {3,20}, {5,8}, {4,6}, {5,16}, {4,12}, {5,20}, {5,7}, {1,7}, {2,7}, {3,11}, {3,16}, {2,20}, {1,16}, {3,15}, {2,18}, {4,20}, {3,19}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {3,6}, {2,19}, {2,17}, {5,18}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {3,10} }; // ETB20.22 (= ET20.30) // Bipartite(8,12) Valencies [12,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19313344512000 EdgesBipt[20][22]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {1,9}, {7,15}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {8,14}, {8,13}, {7,11}, {5,9}, {3,19}, {4,12}, {3,18}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {1,10}, {1,17}, {3,13}, {2,16}, {1,16}, {8,10}, {8,18}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,17}, {4,15}, {2,9}, {8,19}, {4,11}, {6,19}, {7,18}, {8,9}, {2,12}, {5,20}, {8,16}, {5,17}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {1,14}, {7,9}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {5,12}, {3,17}, {4,9}, {5,18}, {7,17}, {7,12}, {5,16}, {4,13}, {1,18}, {4,19}, {4,10}, {8,12} }; // ETB20.23 (= ET20.33) // Bipartite(7,13) Valencies [13,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31384184832000 EdgesBipt[20][23]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {7,12}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {7,8}, {6,12}, {7,13}, {5,11}, {6,10}, {1,20}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,15}, {3,20}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {5,20}, {2,16}, {4,18}, {1,15}, {7,10}, {3,11}, {3,16}, {2,20}, {1,16}, {3,15}, {7,18}, {6,20}, {3,17}, {5,19}, {2,18}, {4,20}, {3,19}, {5,17}, {7,15}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {7,20}, {1,17}, {7,19}, {6,18}, {6,19}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {7,17}, {6,11}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {7,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB20.24 (= ET20.34) // Bipartite(6,14) Valencies [14,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 62768369664000 EdgesBipt[20][24]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {6,12}, {5,11}, {6,10}, {4,7}, {1,20}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {3,20}, {5,8}, {5,9}, {5,16}, {6,16}, {4,12}, {5,20}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {2,20}, {1,16}, {3,15}, {6,20}, {3,17}, {5,19}, {2,18}, {4,20}, {3,19}, {5,17}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {6,18}, {6,19}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {6,11}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB20.25 (= ET20.35) // Bipartite(5,15) Valencies [15,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 156920924160000 EdgesBipt[20][25]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {1,6}, {2,6}, {5,11}, {4,7}, {1,20}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {3,20}, {5,8}, {4,6}, {5,9}, {5,16}, {4,12}, {5,20}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {5,19}, {2,18}, {4,20}, {3,19}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {3,6}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {3,10} }; // ETB20.26 (= ET20.37) // Bipartite(4,16) Valencies [16,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 502146957312000 EdgesBipt[20][26]:={ {2,11}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {1,6}, {3,5}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {4,16}, {3,9}, {2,12}, {3,20}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {2,18}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {3,10} }; // ETB20.27 (= ET20.39) // Bipartite(3,17) Valencies [17,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2134124568576000 EdgesBipt[20][27]:={ {2,11}, {2,14}, {1,14}, {3,12}, {2,10}, {1,10}, {1,6}, {3,5}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,9}, {2,12}, {2,4}, {3,20}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {2,18}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {1,5}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {2,13}, {2,8}, {1,11}, {3,10} }; // ETB20.28 (= ET20.40) // Bipartite(2,18) Valencies [18,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12804747411456000 EdgesBipt[20][28]:={ {1,4}, {1,20}, {1,3}, {1,14}, {2,17}, {1,7}, {2,11}, {2,19}, {1,5}, {1,15}, {1,16}, {1,10}, {2,7}, {1,12}, {2,13}, {1,13}, {1,17}, {2,3}, {2,20}, {2,18}, {2,4}, {1,11}, {1,19}, {1,18}, {2,6}, {2,8}, {2,16}, {2,15}, {1,9}, {2,5}, {2,10}, {2,12}, {2,9}, {2,14}, {1,8}, {1,6} }; // ETB20.29 (= ET20.42) // Bipartite(1,19) Valencies [19,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 121645100408832000 EdgesBipt[20][29]:={ {1,3}, {1,8}, {1,5}, {1,11}, {1,19}, {1,14}, {1,15}, {1,7}, {1,9}, {1,6}, {1,4}, {1,10}, {1,2}, {1,16}, {1,13}, {1,17}, {1,20}, {1,18}, {1,12} }; // Total number of connected ET bipartite graphs of order 20 is 29 // ******************************************************************************************** // Order 21 // ETB21.1 (= ET21.2) // Bipartite(7,14) Valencies [4,2] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1792 EdgesBipt[21][1]:={ {1,13}, {4,14}, {1,20}, {6,11}, {6,13}, {6,18}, {7,12}, {2,14}, {5,16}, {4,19}, {5,9}, {3,17}, {1,8}, {3,15}, {2,21}, {4,21}, {1,15}, {4,12}, {5,18}, {7,19}, {7,10}, {6,20}, {5,11}, {2,16}, {3,8}, {7,17}, {2,9}, {3,10} }; // ETB21.2 (= ET21.3) // Bipartite(9,12) Valencies [4,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[21][2]:={ {4,20}, {7,10}, {8,21}, {6,21}, {3,20}, {4,17}, {3,19}, {2,19}, {7,21}, {7,17}, {8,11}, {5,20}, {8,15}, {6,12}, {9,13}, {1,16}, {6,16}, {4,14}, {5,15}, {3,11}, {1,17}, {6,14}, {2,18}, {1,11}, {5,16}, {1,18}, {8,13}, {9,10}, {3,12}, {2,15}, {4,13}, {9,18}, {7,19}, {2,14}, {5,10}, {9,12} }; // ETB21.3 (= ET21.4) // Bipartite(9,12) Valencies [4,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4608 EdgesBipt[21][3]:={ {3,16}, {7,14}, {6,21}, {6,15}, {3,10}, {5,13}, {5,14}, {7,20}, {7,21}, {2,21}, {8,11}, {8,12}, {9,11}, {7,15}, {5,20}, {6,18}, {6,12}, {4,18}, {1,16}, {1,10}, {8,18}, {4,19}, {3,17}, {3,11}, {1,13}, {8,17}, {1,19}, {9,14}, {2,16}, {2,15}, {9,20}, {4,13}, {2,10}, {5,19}, {9,17}, {4,12} }; // ETB21.4 (= ET21.7) // Bipartite(6,15) Valencies [5,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[21][4]:={ {6,21}, {3,10}, {1,14}, {5,21}, {1,7}, {3,8}, {3,15}, {5,20}, {6,18}, {6,12}, {1,16}, {6,16}, {4,14}, {4,19}, {5,15}, {3,11}, {2,7}, {1,17}, {1,13}, {4,9}, {2,20}, {2,18}, {6,11}, {5,17}, {2,8}, {3,13}, {4,10}, {5,19}, {2,9}, {4,12} }; // ETB21.5 (= ET21.8) // Bipartite(7,14) Valencies [6,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 42 EdgesBipt[21][5]:={ {6,20}, {3,16}, {6,13}, {7,14}, {3,10}, {5,14}, {3,19}, {5,18}, {7,16}, {7,20}, {4,15}, {7,21}, {7,17}, {4,8}, {3,21}, {6,18}, {6,12}, {6,10}, {4,14}, {4,19}, {5,15}, {3,11}, {1,12}, {1,17}, {2,20}, {6,11}, {4,11}, {3,9}, {1,19}, {1,18}, {5,17}, {7,13}, {2,8}, {2,16}, {2,15}, {1,21}, {4,13}, {2,12}, {5,9}, {2,9}, {5,10}, {1,8} }; // ETB21.6 (= ET21.9) // Bipartite(7,14) Valencies [6,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21504 EdgesBipt[21][6]:={ {5,12}, {7,16}, {7,9}, {2,10}, {6,14}, {4,11}, {7,13}, {6,10}, {5,15}, {2,12}, {6,15}, {3,20}, {5,8}, {5,20}, {4,12}, {4,18}, {2,16}, {1,15}, {3,11}, {1,16}, {3,17}, {5,19}, {4,21}, {6,21}, {3,18}, {1,18}, {7,21}, {7,20}, {2,19}, {2,17}, {3,13}, {6,17}, {1,8}, {5,13}, {2,9}, {1,9}, {4,14}, {4,19}, {7,14}, {1,11}, {6,8}, {3,10} }; // ETB21.7 (= ET21.12) // Bipartite(7,14) Valencies [8,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21504 EdgesBipt[21][7]:={ {2,11}, {5,12}, {4,8}, {4,13}, {7,16}, {3,12}, {7,9}, {1,10}, {6,14}, {4,11}, {3,21}, {7,8}, {7,13}, {6,10}, {5,15}, {1,12}, {2,12}, {3,20}, {5,8}, {5,9}, {5,16}, {6,16}, {5,21}, {4,18}, {2,16}, {1,15}, {7,10}, {2,20}, {3,17}, {5,19}, {2,18}, {4,21}, {4,20}, {3,19}, {7,15}, {3,14}, {6,21}, {1,18}, {4,15}, {7,20}, {1,17}, {6,18}, {2,19}, {5,14}, {3,13}, {6,17}, {1,8}, {1,19}, {2,9}, {7,17}, {6,11}, {2,13}, {4,14}, {1,11}, {3,10}, {6,9} }; // ETB21.8 (= ET21.13) // Bipartite(9,12) Valencies [8,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[21][8]:={ {2,11}, {5,12}, {8,19}, {9,19}, {1,14}, {7,11}, {7,16}, {8,20}, {9,20}, {9,21}, {2,10}, {9,16}, {7,12}, {8,16}, {1,10}, {4,11}, {4,10}, {3,21}, {7,13}, {6,10}, {5,11}, {9,15}, {1,20}, {1,12}, {9,11}, {4,16}, {2,12}, {6,15}, {2,21}, {5,21}, {8,10}, {4,12}, {4,18}, {2,16}, {1,15}, {3,16}, {2,20}, {3,15}, {7,18}, {6,20}, {3,17}, {5,19}, {1,21}, {4,21}, {5,17}, {7,15}, {3,14}, {8,12}, {3,18}, {4,15}, {7,20}, {6,18}, {6,19}, {5,14}, {2,17}, {5,18}, {9,14}, {3,13}, {6,17}, {1,13}, {8,14}, {8,18}, {5,13}, {1,19}, {6,11}, {2,13}, {4,19}, {7,14}, {8,17}, {6,13}, {9,17}, {3,10} }; // ETB21.9 (= ET21.14) // Bipartite(9,12) Valencies [8,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17915904 EdgesBipt[21][9]:={ {2,11}, {5,12}, {2,14}, {4,13}, {9,19}, {1,14}, {7,11}, {7,16}, {8,20}, {3,12}, {9,21}, {9,16}, {1,10}, {8,11}, {4,11}, {4,10}, {8,21}, {3,21}, {8,15}, {6,12}, {7,13}, {6,10}, {5,11}, {9,15}, {1,20}, {5,15}, {4,16}, {2,12}, {6,15}, {2,21}, {6,16}, {5,21}, {5,20}, {7,10}, {3,16}, {2,20}, {1,16}, {3,15}, {9,10}, {2,18}, {9,12}, {4,20}, {3,19}, {5,17}, {2,15}, {8,12}, {6,21}, {3,18}, {4,17}, {7,20}, {9,13}, {1,17}, {7,19}, {6,18}, {6,19}, {9,18}, {5,14}, {2,17}, {5,18}, {3,13}, {1,13}, {8,14}, {8,18}, {1,19}, {7,17}, {4,14}, {7,14}, {4,19}, {1,11}, {8,17}, {6,13}, {3,10} }; // ETB21.10 (= ET21.15) // Bipartite(9,12) Valencies [8,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4608 EdgesBipt[21][10]:={ {5,12}, {2,14}, {4,13}, {1,14}, {9,20}, {9,21}, {2,10}, {7,12}, {8,16}, {1,10}, {8,11}, {4,11}, {4,10}, {8,21}, {3,21}, {8,15}, {6,12}, {7,13}, {6,10}, {5,11}, {9,15}, {1,20}, {9,11}, {4,16}, {6,15}, {3,20}, {2,21}, {6,16}, {8,10}, {5,20}, {4,12}, {4,18}, {2,16}, {3,11}, {3,16}, {2,20}, {1,16}, {3,15}, {7,18}, {3,17}, {5,19}, {9,12}, {5,17}, {7,15}, {2,15}, {3,14}, {8,12}, {6,21}, {4,17}, {7,21}, {7,20}, {1,17}, {7,19}, {6,18}, {6,19}, {2,19}, {9,18}, {5,14}, {5,18}, {9,14}, {1,13}, {8,18}, {5,13}, {1,19}, {2,13}, {4,19}, {7,14}, {1,11}, {8,17}, {6,13}, {9,17}, {3,10} }; // ETB21.11 (= ET21.18) // Bipartite(6,15) Valencies [10,4] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[21][11]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {3,21}, {6,12}, {5,11}, {6,10}, {4,7}, {5,15}, {4,16}, {3,9}, {6,7}, {6,15}, {5,9}, {6,16}, {5,21}, {5,20}, {4,12}, {2,16}, {1,7}, {1,15}, {3,11}, {3,16}, {3,7}, {2,20}, {6,20}, {3,17}, {5,19}, {2,18}, {1,21}, {4,20}, {3,19}, {5,17}, {6,21}, {1,18}, {4,15}, {6,18}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {1,19}, {2,9}, {2,13}, {4,14}, {2,8}, {4,19}, {1,11}, {6,8}, {3,10} }; // ETB21.12 (= ET21.19) // Bipartite(6,15) Valencies [10,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 82944000 EdgesBipt[21][12]:={ {2,11}, {5,12}, {4,8}, {2,14}, {4,13}, {1,14}, {3,12}, {1,10}, {4,11}, {4,10}, {3,21}, {6,12}, {5,11}, {6,10}, {4,7}, {1,20}, {5,15}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {2,21}, {5,9}, {6,16}, {5,21}, {5,20}, {1,7}, {3,16}, {3,7}, {2,20}, {1,16}, {3,15}, {2,18}, {4,20}, {3,19}, {5,17}, {2,15}, {3,18}, {6,21}, {4,17}, {1,17}, {6,18}, {6,19}, {5,14}, {2,17}, {5,18}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {4,14}, {2,8}, {4,19}, {1,11}, {6,13}, {3,10}, {6,9} }; // ETB21.13 (= ET21.22) // Bipartite(10,11) Valencies [11,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 144850083840000 EdgesBipt[21][13]:={ {1,15}, {9,13}, {10,19}, {7,19}, {6,12}, {5,14}, {10,21}, {3,15}, {6,18}, {4,14}, {1,11}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {8,15}, {2,14}, {3,11}, {4,20}, {6,11}, {1,17}, {3,13}, {2,16}, {10,12}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {4,11}, {6,19}, {2,21}, {7,18}, {2,12}, {5,20}, {10,14}, {8,16}, {5,17}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {9,11}, {5,11}, {3,16}, {1,13}, {4,18}, {3,20}, {7,21}, {5,12}, {9,14}, {3,17}, {10,20}, {5,18}, {9,16}, {7,17}, {7,12}, {5,16}, {4,13}, {10,11}, {1,21}, {1,18}, {4,19}, {9,20}, {8,12} }; // ETB21.14 (= ET21.23) // Bipartite(3,18) Valencies [12,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2239488000 EdgesBipt[21][14]:={ {1,4}, {1,20}, {3,16}, {3,10}, {1,14}, {3,19}, {2,17}, {1,7}, {2,11}, {1,5}, {3,6}, {3,18}, {3,15}, {3,4}, {2,21}, {3,21}, {1,16}, {1,10}, {1,17}, {1,13}, {2,20}, {2,18}, {3,9}, {1,11}, {1,19}, {2,6}, {2,8}, {3,12}, {2,15}, {3,13}, {2,5}, {2,12}, {2,9}, {3,7}, {2,14}, {1,8} }; // ETB21.15 (= ET21.24) // Bipartite(7,14) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 645120 EdgesBipt[21][15]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {7,11}, {7,16}, {3,12}, {7,9}, {2,10}, {1,10}, {6,14}, {4,11}, {5,10}, {3,21}, {7,8}, {6,12}, {7,13}, {5,11}, {6,10}, {1,20}, {1,12}, {5,15}, {3,8}, {4,16}, {2,12}, {6,15}, {3,20}, {5,8}, {2,21}, {5,9}, {5,16}, {6,16}, {5,21}, {4,12}, {2,16}, {4,18}, {1,15}, {7,10}, {3,11}, {1,16}, {2,20}, {3,15}, {7,18}, {6,20}, {3,17}, {5,19}, {2,18}, {4,21}, {4,20}, {3,19}, {5,17}, {7,15}, {3,14}, {3,18}, {6,21}, {1,18}, {7,21}, {4,15}, {7,20}, {1,17}, {6,19}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {1,19}, {2,9}, {7,17}, {1,9}, {2,13}, {4,14}, {4,19}, {7,14}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB21.16 (= ET21.25) // Bipartite(9,12) Valencies [12,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 173820100608000 EdgesBipt[21][16]:={ {1,15}, {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {7,15}, {5,13}, {3,10}, {2,19}, {9,10}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {1,10}, {1,17}, {3,13}, {2,16}, {1,16}, {6,21}, {8,10}, {8,18}, {2,17}, {8,21}, {3,14}, {2,13}, {1,12}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {4,11}, {6,19}, {2,21}, {7,18}, {2,12}, {5,20}, {8,16}, {5,17}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {9,14}, {3,17}, {5,18}, {9,16}, {7,17}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {8,12}, {9,20} }; // ETB21.17 (= ET21.27) // Bipartite(8,13) Valencies [13,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 251073478656000 EdgesBipt[21][17]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {1,9}, {7,15}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {8,14}, {8,13}, {7,11}, {5,9}, {5,21}, {3,19}, {4,12}, {3,18}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {1,10}, {1,17}, {3,13}, {2,16}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,9}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {2,9}, {8,19}, {4,11}, {6,19}, {2,21}, {7,18}, {8,9}, {2,12}, {5,20}, {5,17}, {8,16}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {7,9}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {5,18}, {7,17}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {8,12} }; // ETB21.18 (= ET21.28) // Bipartite(7,14) Valencies [14,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 439378587648000 EdgesBipt[21][18]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {6,14}, {4,8}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {1,9}, {7,15}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {7,11}, {5,9}, {5,21}, {3,19}, {4,12}, {3,18}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {1,10}, {1,17}, {3,13}, {2,16}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {5,19}, {5,15}, {6,8}, {7,20}, {7,13}, {7,14}, {6,15}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,11}, {7,8}, {6,19}, {2,21}, {5,8}, {7,18}, {2,12}, {5,20}, {5,17}, {3,12}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {7,9}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,8}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {5,18}, {7,17}, {1,8}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10} }; // ETB21.19 (= ET21.30) // Bipartite(6,15) Valencies [15,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 941525544960000 EdgesBipt[21][19]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {3,21}, {6,12}, {5,11}, {6,10}, {4,7}, {1,20}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {3,20}, {5,8}, {2,21}, {5,9}, {5,16}, {6,16}, {5,21}, {4,12}, {5,20}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {3,16}, {3,7}, {2,20}, {1,16}, {3,15}, {6,20}, {3,17}, {5,19}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {2,15}, {3,14}, {3,18}, {6,21}, {4,17}, {1,18}, {4,15}, {1,17}, {6,18}, {6,19}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {6,11}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB21.20 (= ET21.31) // Bipartite(5,16) Valencies [16,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2510734786560000 EdgesBipt[21][20]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {3,21}, {1,6}, {2,6}, {5,11}, {4,7}, {1,20}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {3,20}, {5,8}, {2,21}, {4,6}, {5,9}, {5,16}, {5,21}, {4,12}, {5,20}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {5,19}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {3,6}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {3,10} }; // ETB21.21 (= ET21.32) // Bipartite(4,17) Valencies [17,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8536498274304000 EdgesBipt[21][21]:={ {2,11}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {3,21}, {1,6}, {3,5}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {4,16}, {3,9}, {2,12}, {3,20}, {2,21}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {3,10} }; // ETB21.22 (= ET21.33) // Bipartite(3,18) Valencies [18,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 38414242234368000 EdgesBipt[21][22]:={ {2,11}, {2,14}, {1,14}, {3,12}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,9}, {2,12}, {2,4}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {1,5}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {2,13}, {2,8}, {1,11}, {3,10} }; // ETB21.23 (= ET21.35) // Bipartite(2,19) Valencies [19,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 243290200817664000 EdgesBipt[21][23]:={ {1,4}, {1,20}, {1,3}, {1,14}, {2,17}, {1,7}, {2,11}, {2,19}, {1,5}, {1,15}, {2,21}, {1,16}, {1,10}, {2,7}, {1,12}, {2,13}, {1,13}, {1,17}, {2,3}, {2,20}, {2,18}, {2,4}, {1,11}, {1,19}, {1,18}, {2,6}, {2,8}, {2,16}, {2,15}, {1,21}, {1,9}, {2,5}, {2,10}, {2,12}, {2,9}, {2,14}, {1,8}, {1,6} }; // ETB21.24 (= ET21.36) // Bipartite(1,20) Valencies [20,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 2432902008176640000 EdgesBipt[21][24]:={ {1,13}, {1,16}, {1,14}, {1,17}, {1,20}, {1,3}, {1,19}, {1,4}, {1,9}, {1,2}, {1,8}, {1,15}, {1,5}, {1,10}, {1,6}, {1,11}, {1,21}, {1,12}, {1,7}, {1,18} }; // Total number of connected ET bipartite graphs of order 21 is 24 // ******************************************************************************************** // Order 22 // ETB22.1 (= ET22.1) // Bipartite(11,11) Valencies [2,2] // Diameter 11 Girth 22 // Twin-free VT AT // Automorphism group of order 44 EdgesBipt[22][1]:={ {1,12}, {9,15}, {6,20}, {5,18}, {5,22}, {8,21}, {2,13}, {7,19}, {6,21}, {3,14}, {11,15}, {1,14}, {7,22}, {8,17}, {11,13}, {9,19}, {2,16}, {4,16}, {4,20}, {10,12}, {10,17}, {3,18} }; // ETB22.2 (= ET22.3) // Bipartite(11,11) Valencies [5,5] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1320 EdgesBipt[22][2]:={ {5,12}, {4,13}, {8,19}, {11,16}, {8,20}, {7,16}, {3,12}, {9,20}, {9,16}, {6,14}, {8,21}, {3,21}, {8,15}, {1,12}, {4,16}, {6,15}, {3,20}, {11,21}, {2,21}, {4,12}, {10,13}, {10,16}, {1,15}, {7,18}, {6,20}, {5,19}, {2,18}, {9,12}, {4,21}, {11,22}, {7,15}, {5,17}, {3,14}, {3,18}, {1,18}, {4,15}, {9,22}, {10,19}, {6,22}, {5,14}, {2,17}, {5,13}, {1,19}, {7,17}, {1,22}, {2,13}, {7,14}, {11,19}, {10,20}, {11,14}, {8,17}, {2,22}, {6,13}, {9,17}, {10,18} }; // ETB22.3 (= ET22.4) // Bipartite(10,12) Valencies [6,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[22][3]:={ {5,12}, {3,22}, {2,14}, {4,13}, {8,19}, {10,15}, {8,20}, {3,12}, {9,21}, {9,16}, {8,11}, {4,11}, {6,12}, {7,13}, {5,15}, {1,12}, {9,11}, {4,16}, {10,12}, {6,15}, {2,21}, {6,16}, {10,16}, {3,11}, {1,16}, {2,20}, {7,18}, {6,20}, {1,21}, {4,20}, {3,19}, {5,17}, {7,15}, {8,13}, {2,15}, {3,14}, {6,21}, {3,18}, {4,17}, {1,18}, {7,21}, {8,22}, {9,13}, {4,22}, {6,19}, {2,19}, {9,18}, {10,17}, {5,14}, {5,18}, {8,14}, {7,17}, {1,19}, {10,22}, {2,13}, {7,14}, {10,20}, {1,11}, {5,22}, {9,17} }; // ETB22.4 (= ET22.5) // Bipartite(10,12) Valencies [6,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[22][4]:={ {5,12}, {3,22}, {2,14}, {8,19}, {10,15}, {1,14}, {9,20}, {9,21}, {9,16}, {7,12}, {8,16}, {6,14}, {4,11}, {7,13}, {5,11}, {9,15}, {1,20}, {2,12}, {6,15}, {5,20}, {4,12}, {4,18}, {2,16}, {10,16}, {3,11}, {3,16}, {2,20}, {7,18}, {6,20}, {3,17}, {2,18}, {4,21}, {10,11}, {3,19}, {5,17}, {7,15}, {8,13}, {8,12}, {6,21}, {4,17}, {7,21}, {8,22}, {4,15}, {1,17}, {7,19}, {6,19}, {9,22}, {10,17}, {5,14}, {5,18}, {9,14}, {3,13}, {1,13}, {8,18}, {1,19}, {10,22}, {10,21}, {1,11}, {2,22}, {6,13} }; // ETB22.5 (= ET22.6) // Bipartite(11,11) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1320 EdgesBipt[22][5]:={ {5,12}, {3,22}, {2,14}, {8,19}, {10,15}, {1,14}, {11,15}, {9,20}, {11,17}, {9,21}, {7,12}, {8,21}, {8,15}, {11,20}, {1,12}, {4,16}, {10,12}, {2,21}, {5,16}, {6,16}, {5,21}, {2,16}, {10,16}, {1,16}, {3,15}, {11,12}, {7,18}, {6,20}, {3,17}, {2,18}, {4,21}, {4,20}, {3,19}, {5,17}, {8,13}, {10,14}, {2,15}, {3,14}, {8,12}, {3,18}, {4,17}, {7,21}, {8,22}, {4,15}, {7,20}, {9,13}, {11,13}, {1,17}, {7,19}, {6,18}, {6,19}, {9,22}, {6,22}, {5,18}, {9,14}, {1,13}, {1,19}, {10,22}, {2,13}, {7,14}, {4,19}, {10,20}, {11,18}, {5,22}, {6,13}, {9,17} }; // ETB22.6 (= ET22.7) // Bipartite(8,14) Valencies [7,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1344 EdgesBipt[22][6]:={ {2,11}, {3,22}, {5,12}, {2,14}, {4,13}, {7,11}, {7,16}, {8,20}, {8,16}, {4,10}, {5,15}, {1,12}, {2,21}, {5,9}, {6,16}, {8,10}, {4,12}, {7,10}, {3,11}, {1,16}, {2,20}, {3,15}, {6,20}, {5,19}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {2,15}, {8,12}, {3,18}, {4,17}, {1,18}, {7,21}, {8,22}, {4,15}, {7,19}, {6,22}, {5,14}, {3,13}, {6,17}, {1,13}, {8,14}, {8,18}, {7,17}, {2,9}, {1,19}, {6,11}, {1,9}, {7,14}, {5,22}, {6,13}, {3,10}, {6,9} }; // ETB22.7 (= ET22.8) // Bipartite(6,16) Valencies [8,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7962624 EdgesBipt[22][7]:={ {4,20}, {1,20}, {6,7}, {6,15}, {5,13}, {5,14}, {3,19}, {5,18}, {5,21}, {2,17}, {1,7}, {1,15}, {3,15}, {4,8}, {2,21}, {4,16}, {3,21}, {6,18}, {5,22}, {4,18}, {6,10}, {1,16}, {4,14}, {3,17}, {3,11}, {1,12}, {2,13}, {2,20}, {6,14}, {6,11}, {3,9}, {4,22}, {1,11}, {6,22}, {1,19}, {5,17}, {2,8}, {2,16}, {3,13}, {6,19}, {2,12}, {4,10}, {5,9}, {2,9}, {3,7}, {4,12}, {1,8}, {5,10} }; // ETB22.8 (= ET22.9) // Bipartite(6,16) Valencies [8,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12288 EdgesBipt[22][8]:={ {4,20}, {6,13}, {6,21}, {3,20}, {5,13}, {3,19}, {5,21}, {2,17}, {1,7}, {1,15}, {6,8}, {3,15}, {4,21}, {6,18}, {6,10}, {1,16}, {2,22}, {1,10}, {6,16}, {4,14}, {3,17}, {4,19}, {5,8}, {5,15}, {3,11}, {1,17}, {2,20}, {6,14}, {2,18}, {4,11}, {3,9}, {4,22}, {6,22}, {5,7}, {5,11}, {5,16}, {1,18}, {3,12}, {1,9}, {2,10}, {2,12}, {4,13}, {2,9}, {5,19}, {3,7}, {4,12}, {2,14}, {1,8} }; // ETB22.9 (= ET22.10) // Bipartite(4,18) Valencies [9,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1119744 EdgesBipt[22][9]:={ {4,20}, {3,19}, {2,17}, {1,7}, {2,11}, {1,5}, {4,15}, {3,6}, {3,18}, {3,15}, {4,8}, {1,22}, {4,16}, {4,21}, {3,21}, {1,16}, {1,10}, {4,14}, {1,17}, {1,13}, {4,9}, {2,20}, {2,18}, {3,9}, {4,22}, {1,11}, {1,19}, {2,6}, {2,8}, {3,12}, {3,13}, {2,5}, {2,12}, {4,10}, {3,7}, {2,14} }; // ETB22.10 (= ET22.11) // Bipartite(11,11) Valencies [10,10] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 79833600 EdgesBipt[22][10]:={ {1,15}, {9,13}, {10,19}, {7,19}, {6,12}, {11,15}, {5,14}, {11,17}, {10,22}, {6,18}, {4,14}, {2,22}, {6,14}, {2,20}, {9,12}, {6,13}, {9,19}, {9,21}, {11,16}, {11,22}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {4,20}, {1,17}, {3,13}, {10,12}, {2,16}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {3,22}, {5,19}, {5,15}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {11,18}, {4,21}, {4,17}, {4,15}, {9,15}, {11,14}, {11,13}, {5,22}, {6,19}, {2,21}, {11,19}, {7,18}, {2,12}, {4,22}, {5,20}, {10,14}, {8,16}, {5,17}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {11,21}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {7,22}, {3,16}, {4,18}, {3,20}, {7,21}, {11,20}, {5,12}, {9,14}, {3,17}, {10,20}, {9,16}, {7,17}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {9,20}, {8,12} }; // ETB22.11 (= ET22.12) // Bipartite(11,11) Valencies [11,11] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 3186701844480000 EdgesBipt[22][11]:={ {1,15}, {9,13}, {10,19}, {7,19}, {6,12}, {11,15}, {5,14}, {10,21}, {3,15}, {11,17}, {10,22}, {6,18}, {4,14}, {2,22}, {6,14}, {6,17}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {11,16}, {11,22}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {2,14}, {4,20}, {1,17}, {3,13}, {2,16}, {10,12}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {3,22}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {11,18}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {11,14}, {11,13}, {5,22}, {6,19}, {2,21}, {11,12}, {11,19}, {7,18}, {2,12}, {4,22}, {5,20}, {10,14}, {8,16}, {5,17}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {11,21}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {7,22}, {3,16}, {1,13}, {4,18}, {3,20}, {7,21}, {11,20}, {5,12}, {9,14}, {3,17}, {10,20}, {5,18}, {9,16}, {7,17}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {9,20}, {8,12}, {9,22} }; // ETB22.12 (= ET22.13) // Bipartite(10,12) Valencies [12,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1738201006080000 EdgesBipt[22][12]:={ {1,15}, {9,13}, {10,19}, {7,19}, {6,12}, {5,14}, {10,21}, {3,15}, {10,22}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {7,11}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {2,14}, {3,11}, {4,20}, {6,11}, {1,17}, {3,13}, {2,16}, {10,12}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {3,22}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {4,11}, {5,22}, {6,19}, {2,21}, {7,18}, {2,12}, {4,22}, {5,20}, {10,14}, {8,16}, {5,17}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {3,20}, {7,21}, {5,12}, {9,14}, {3,17}, {10,20}, {5,18}, {9,16}, {7,17}, {7,12}, {5,16}, {4,13}, {1,21}, {10,11}, {1,18}, {4,19}, {8,12}, {9,20}, {9,22} }; // ETB22.13 (= ET22.14) // Bipartite(9,13) Valencies [13,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2259661307904000 EdgesBipt[22][13]:={ {1,15}, {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {7,15}, {5,13}, {3,10}, {2,19}, {9,10}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {7,11}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,22}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {4,11}, {5,22}, {6,19}, {2,21}, {7,18}, {2,12}, {4,22}, {5,20}, {5,17}, {8,16}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {9,14}, {3,17}, {5,18}, {9,16}, {7,17}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {8,12}, {9,20}, {9,22} }; // ETB22.14 (= ET22.15) // Bipartite(8,14) Valencies [14,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3515028701184000 EdgesBipt[22][14]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {1,9}, {7,15}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {8,14}, {8,13}, {7,11}, {6,22}, {5,9}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {7,20}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {2,9}, {8,19}, {4,11}, {5,22}, {6,19}, {2,21}, {7,18}, {8,9}, {2,12}, {4,22}, {5,20}, {5,17}, {8,16}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {7,9}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {5,18}, {7,17}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {8,12} }; // ETB22.15 (= ET22.16) // Bipartite(7,15) Valencies [15,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6590678814720000 EdgesBipt[22][15]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {6,17}, {2,11}, {2,20}, {4,16}, {6,13}, {1,9}, {7,15}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {7,11}, {6,22}, {5,9}, {5,21}, {3,19}, {4,12}, {3,18}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {7,20}, {7,13}, {7,14}, {6,15}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,11}, {7,8}, {5,22}, {6,19}, {2,21}, {5,8}, {7,18}, {2,12}, {4,22}, {5,20}, {5,17}, {3,12}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {2,8}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,8}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {5,18}, {7,17}, {1,8}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10} }; // ETB22.16 (= ET22.17) // Bipartite(6,16) Valencies [16,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15064408719360000 EdgesBipt[22][16]:={ {2,11}, {3,22}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {3,21}, {6,12}, {5,11}, {6,10}, {4,7}, {1,20}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {3,20}, {5,8}, {2,21}, {5,9}, {5,16}, {6,16}, {5,21}, {4,12}, {5,20}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {6,20}, {3,17}, {5,19}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {2,15}, {3,14}, {3,18}, {6,21}, {4,17}, {1,18}, {4,15}, {1,17}, {4,22}, {6,18}, {6,19}, {6,22}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {6,17}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {6,11}, {1,9}, {1,22}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {5,22}, {2,22}, {6,13}, {6,8}, {3,10}, {6,9} }; // ETB22.17 (= ET22.18) // Bipartite(5,17) Valencies [17,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 42682491371520000 EdgesBipt[22][17]:={ {2,11}, {3,22}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {3,21}, {1,6}, {2,6}, {5,11}, {4,7}, {1,20}, {1,12}, {5,15}, {3,8}, {4,16}, {3,9}, {2,12}, {3,20}, {5,8}, {2,21}, {4,6}, {5,9}, {5,16}, {5,21}, {4,12}, {5,20}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {5,19}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {4,22}, {3,6}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {1,9}, {1,22}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {5,22}, {2,22}, {3,10} }; // ETB22.18 (= ET22.19) // Bipartite(4,18) Valencies [18,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 153656968937472000 EdgesBipt[22][18]:={ {2,11}, {3,22}, {2,14}, {4,8}, {4,13}, {4,9}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {3,21}, {1,6}, {3,5}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {4,16}, {3,9}, {2,12}, {3,20}, {2,21}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {4,22}, {3,6}, {2,19}, {2,17}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {4,14}, {4,19}, {1,11}, {2,22}, {3,10} }; // ETB22.19 (= ET22.20) // Bipartite(3,19) Valencies [19,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 729870602452992000 EdgesBipt[22][19]:={ {2,11}, {3,22}, {2,14}, {1,14}, {3,12}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,9}, {2,12}, {2,4}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {1,5}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {1,11}, {2,22}, {3,10} }; // ETB22.20 (= ET22.21) // Bipartite(2,20) Valencies [20,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4865804016353280000 EdgesBipt[22][20]:={ {1,4}, {1,20}, {1,3}, {1,14}, {2,17}, {1,7}, {2,11}, {2,19}, {1,5}, {1,15}, {2,21}, {1,22}, {1,16}, {1,10}, {2,22}, {2,7}, {1,12}, {2,13}, {1,13}, {1,17}, {2,3}, {2,20}, {2,18}, {2,4}, {1,11}, {1,19}, {1,18}, {2,6}, {2,8}, {2,16}, {2,15}, {1,21}, {1,9}, {2,5}, {2,10}, {2,12}, {2,9}, {2,14}, {1,8}, {1,6} }; // ETB22.21 (= ET22.23) // Bipartite(1,21) Valencies [21,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 51090942171709440000 EdgesBipt[22][21]:={ {1,13}, {1,22}, {1,16}, {1,14}, {1,17}, {1,20}, {1,3}, {1,19}, {1,4}, {1,9}, {1,2}, {1,8}, {1,15}, {1,5}, {1,10}, {1,6}, {1,11}, {1,21}, {1,12}, {1,7}, {1,18} }; // Total number of connected ET bipartite graphs of order 22 is 21 // ******************************************************************************************** // Order 23 // ETB23.1 (= ET23.2) // Bipartite(11,12) Valencies [12,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19120211066880000 EdgesBipt[23][1]:={ {1,15}, {9,13}, {10,19}, {7,19}, {6,12}, {11,15}, {5,14}, {10,21}, {3,15}, {11,17}, {10,22}, {6,18}, {11,23}, {4,14}, {2,22}, {6,14}, {6,17}, {6,23}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {11,16}, {11,22}, {7,23}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {6,22}, {5,21}, {10,23}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {2,14}, {5,23}, {4,20}, {2,23}, {1,17}, {3,13}, {2,16}, {10,12}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {3,22}, {5,19}, {9,23}, {5,15}, {7,20}, {7,13}, {8,17}, {3,23}, {7,14}, {6,15}, {1,19}, {11,18}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {11,14}, {11,13}, {5,22}, {6,19}, {1,23}, {2,21}, {11,12}, {11,19}, {7,18}, {2,12}, {4,22}, {5,20}, {10,14}, {8,16}, {5,17}, {3,12}, {8,20}, {8,23}, {7,16}, {6,20}, {6,16}, {11,21}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {7,22}, {3,16}, {1,13}, {4,18}, {3,20}, {7,21}, {11,20}, {5,12}, {9,14}, {3,17}, {10,20}, {5,18}, {9,16}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {8,12}, {9,20}, {9,22} }; // ETB23.2 (= ET23.3) // Bipartite(10,13) Valencies [13,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 22596613079040000 EdgesBipt[23][2]:={ {1,15}, {9,13}, {10,19}, {7,19}, {6,12}, {5,14}, {10,21}, {3,15}, {10,22}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {6,23}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {7,23}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {7,11}, {6,22}, {5,21}, {10,23}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {2,14}, {5,23}, {3,11}, {4,20}, {6,11}, {2,23}, {1,17}, {3,13}, {2,16}, {10,12}, {1,22}, {1,16}, {6,21}, {10,13}, {2,17}, {8,18}, {8,21}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {3,22}, {5,19}, {9,23}, {5,15}, {7,20}, {7,13}, {8,17}, {3,23}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {2,12}, {4,22}, {5,20}, {10,14}, {8,16}, {5,17}, {3,12}, {8,20}, {8,23}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {3,20}, {7,21}, {5,12}, {9,14}, {3,17}, {10,20}, {5,18}, {9,16}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {10,11}, {1,18}, {4,19}, {8,12}, {9,20}, {9,22} }; // ETB23.3 (= ET23.4) // Bipartite(9,14) Valencies [14,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31635258310656000 EdgesBipt[23][3]:={ {1,15}, {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {6,23}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {9,10}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {7,11}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,22}, {5,19}, {9,23}, {5,15}, {7,20}, {7,13}, {3,23}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {2,12}, {4,22}, {5,20}, {5,17}, {8,16}, {3,12}, {8,20}, {8,23}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {9,14}, {3,17}, {5,18}, {9,16}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {8,12}, {9,20}, {9,22} }; // ETB23.4 (= ET23.5) // Bipartite(8,15) Valencies [15,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 52725430517760000 EdgesBipt[23][4]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {6,23}, {2,20}, {4,16}, {6,13}, {1,9}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {8,14}, {8,13}, {7,11}, {6,22}, {5,9}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {7,20}, {7,13}, {3,23}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {2,9}, {8,19}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {8,9}, {2,12}, {4,22}, {5,20}, {5,17}, {8,16}, {3,12}, {8,20}, {8,23}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {5,18}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {8,12} }; // ETB23.5 (= ET23.6) // Bipartite(7,16) Valencies [16,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 105450861035520000 EdgesBipt[23][5]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {6,17}, {2,11}, {6,23}, {2,20}, {4,16}, {6,13}, {1,9}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {7,20}, {3,23}, {7,13}, {7,14}, {6,15}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,11}, {5,22}, {7,8}, {6,19}, {1,23}, {2,21}, {5,8}, {7,18}, {2,12}, {4,22}, {5,20}, {5,17}, {3,12}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {2,8}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,8}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {5,18}, {7,17}, {4,23}, {1,8}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10} }; // ETB23.6 (= ET23.7) // Bipartite(6,17) Valencies [17,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 256094948229120000 EdgesBipt[23][6]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {6,17}, {3,7}, {2,11}, {6,23}, {2,20}, {4,16}, {6,13}, {1,9}, {6,7}, {5,7}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {5,9}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {3,23}, {6,15}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,8}, {3,20}, {5,12}, {3,17}, {4,9}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10} }; // ETB23.7 (= ET23.8) // Bipartite(5,18) Valencies [18,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 768284844687360000 EdgesBipt[23][7]:={ {2,11}, {3,22}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {4,23}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {5,10}, {3,21}, {1,6}, {2,6}, {5,11}, {4,7}, {1,20}, {1,12}, {5,15}, {3,8}, {3,23}, {4,16}, {3,9}, {2,12}, {3,20}, {5,8}, {2,21}, {4,6}, {5,9}, {5,16}, {5,23}, {5,21}, {4,12}, {5,20}, {5,7}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,16}, {3,15}, {3,17}, {5,19}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {4,22}, {3,6}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {1,9}, {1,22}, {2,13}, {2,8}, {4,14}, {1,23}, {4,19}, {1,11}, {5,22}, {2,22}, {3,10} }; // ETB23.8 (= ET23.9) // Bipartite(4,19) Valencies [19,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2919482409811968000 EdgesBipt[23][8]:={ {2,11}, {3,22}, {2,14}, {4,8}, {4,13}, {4,9}, {4,23}, {1,14}, {3,12}, {2,10}, {1,10}, {4,11}, {4,10}, {3,21}, {1,6}, {3,5}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {3,23}, {4,16}, {3,9}, {2,12}, {3,20}, {2,21}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {4,22}, {3,6}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {4,14}, {1,23}, {4,19}, {1,11}, {2,22}, {3,10} }; // ETB23.9 (= ET23.10) // Bipartite(3,20) Valencies [20,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14597412049059840000 EdgesBipt[23][9]:={ {2,11}, {3,22}, {2,14}, {1,14}, {3,12}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {3,9}, {2,12}, {2,4}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {1,5}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {1,23}, {1,11}, {2,22}, {3,10} }; // ETB23.10 (= ET23.11) // Bipartite(2,21) Valencies [21,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 102181884343418880000 EdgesBipt[23][10]:={ {1,4}, {1,20}, {1,3}, {1,14}, {1,23}, {2,17}, {1,7}, {2,11}, {2,19}, {1,5}, {1,15}, {2,21}, {1,22}, {1,16}, {1,10}, {2,22}, {2,7}, {1,12}, {2,13}, {1,13}, {1,17}, {2,3}, {2,20}, {2,18}, {2,4}, {1,11}, {2,23}, {1,19}, {1,18}, {2,6}, {2,8}, {2,16}, {2,15}, {1,21}, {1,9}, {2,5}, {2,10}, {2,12}, {2,9}, {2,14}, {1,8}, {1,6} }; // ETB23.11 (= ET23.12) // Bipartite(1,22) Valencies [22,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 1124000727777607680000 EdgesBipt[23][11]:={ {1,13}, {1,22}, {1,16}, {1,14}, {1,17}, {1,20}, {1,3}, {1,19}, {1,4}, {1,9}, {1,2}, {1,8}, {1,15}, {1,5}, {1,10}, {1,6}, {1,23}, {1,11}, {1,21}, {1,12}, {1,7}, {1,18} }; // Total number of connected ET bipartite graphs of order 23 is 11 // ******************************************************************************************** // Order 24 // ETB24.1 (= ET24.1) // Bipartite(12,12) Valencies [2,2] // Diameter 12 Girth 24 // Twin-free VT AT // Automorphism group of order 48 EdgesBipt[24][1]:={ {1,13}, {1,22}, {12,23}, {6,14}, {5,14}, {8,18}, {3,24}, {9,17}, {10,16}, {2,21}, {12,22}, {8,20}, {11,23}, {4,24}, {7,19}, {5,15}, {9,18}, {10,17}, {2,13}, {3,21}, {6,19}, {4,15}, {7,20}, {11,16} }; // ETB24.2 (= ET24.2) // Bipartite(12,12) Valencies [3,3] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 144 EdgesBipt[24][2]:={ {8,13}, {10,21}, {11,14}, {4,22}, {7,15}, {9,22}, {4,24}, {6,24}, {1,17}, {8,15}, {4,19}, {12,14}, {3,19}, {11,20}, {1,13}, {9,15}, {3,17}, {12,18}, {3,21}, {2,18}, {8,21}, {11,24}, {7,23}, {5,16}, {5,19}, {2,22}, {5,23}, {10,16}, {10,20}, {6,23}, {1,14}, {9,20}, {2,17}, {7,18}, {6,13}, {12,16} }; // ETB24.3 (= ET24.3) // Bipartite(8,16) Valencies [4,2] // Diameter 4 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[24][3]:={ {8,24}, {5,11}, {6,17}, {3,15}, {5,14}, {4,9}, {7,16}, {3,22}, {6,14}, {8,22}, {4,19}, {8,23}, {3,19}, {1,13}, {6,18}, {6,12}, {2,13}, {8,21}, {7,23}, {2,10}, {2,15}, {4,11}, {7,17}, {1,18}, {5,10}, {5,21}, {4,16}, {1,24}, {7,20}, {1,9}, {3,12}, {2,20} }; // ETB24.4 (= ET24.4) // Bipartite(8,16) Valencies [4,2] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4096 EdgesBipt[24][4]:={ {5,12}, {8,24}, {7,16}, {7,15}, {3,22}, {8,9}, {6,14}, {1,17}, {4,19}, {5,20}, {1,10}, {2,19}, {3,21}, {2,18}, {7,23}, {2,11}, {2,10}, {4,11}, {4,12}, {3,14}, {6,15}, {6,23}, {6,22}, {8,17}, {5,13}, {1,18}, {8,16}, {5,21}, {4,20}, {1,9}, {7,24}, {3,13} }; // ETB24.5 (= ET24.5) // Bipartite(12,12) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 768 EdgesBipt[24][5]:={ {3,22}, {4,13}, {4,24}, {10,15}, {8,19}, {9,23}, {8,20}, {5,24}, {9,21}, {9,16}, {11,24}, {12,16}, {8,21}, {8,15}, {11,20}, {9,15}, {1,20}, {3,23}, {11,23}, {3,20}, {2,21}, {5,16}, {6,16}, {5,19}, {2,18}, {4,21}, {7,15}, {3,14}, {12,14}, {12,19}, {1,17}, {10,17}, {12,22}, {5,18}, {6,17}, {1,13}, {7,17}, {1,19}, {10,22}, {2,13}, {4,14}, {7,14}, {11,18}, {6,23}, {2,22}, {6,13}, {10,18}, {7,24} }; // ETB24.6 (= ET24.6) // Bipartite(12,12) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 96 EdgesBipt[24][6]:={ {6,20}, {4,20}, {3,24}, {3,16}, {11,22}, {4,24}, {7,23}, {12,16}, {4,17}, {1,14}, {9,19}, {5,18}, {12,19}, {2,17}, {10,13}, {1,24}, {2,19}, {11,13}, {7,20}, {12,23}, {9,22}, {9,23}, {3,18}, {7,17}, {7,15}, {8,15}, {3,21}, {6,18}, {10,23}, {8,18}, {4,14}, {5,15}, {1,13}, {6,24}, {12,21}, {6,22}, {10,21}, {5,16}, {8,13}, {5,17}, {8,22}, {10,15}, {2,16}, {1,21}, {9,20}, {11,19}, {11,14}, {2,14} }; // ETB24.7 (= ET24.7) // Bipartite(12,12) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 96 EdgesBipt[24][7]:={ {6,20}, {3,24}, {1,20}, {11,17}, {8,21}, {4,24}, {7,23}, {9,16}, {5,13}, {5,14}, {4,17}, {1,14}, {3,19}, {5,18}, {10,13}, {2,19}, {3,23}, {12,22}, {9,22}, {12,18}, {7,17}, {6,23}, {7,15}, {1,22}, {3,21}, {10,23}, {8,18}, {6,16}, {4,14}, {12,24}, {10,20}, {8,14}, {1,13}, {2,13}, {11,21}, {12,21}, {4,22}, {8,17}, {5,16}, {10,15}, {2,16}, {2,15}, {6,19}, {7,24}, {11,15}, {9,20}, {9,18}, {11,19} }; // ETB24.8 (= ET24.8) // Bipartite(12,12) Valencies [4,4] // Diameter 6 Girth 4 // Has twins VT AT // Automorphism group of order 98304 EdgesBipt[24][8]:={ {2,14}, {11,16}, {10,15}, {8,19}, {8,20}, {1,24}, {12,18}, {11,17}, {9,20}, {9,21}, {3,21}, {7,13}, {9,15}, {11,23}, {4,16}, {3,20}, {5,16}, {5,23}, {10,16}, {2,20}, {3,15}, {7,18}, {4,21}, {11,22}, {5,17}, {8,13}, {12,23}, {3,14}, {12,24}, {1,18}, {4,15}, {7,19}, {6,18}, {4,22}, {2,19}, {9,14}, {6,17}, {1,13}, {8,14}, {1,19}, {10,22}, {10,21}, {2,13}, {12,17}, {5,22}, {6,23}, {7,24}, {6,24} }; // ETB24.9 (= ET24.9) // Bipartite(12,12) Valencies [4,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3072 EdgesBipt[24][9]:={ {6,20}, {8,20}, {11,18}, {6,21}, {4,24}, {7,23}, {12,16}, {5,13}, {4,17}, {5,24}, {1,23}, {5,18}, {5,21}, {12,19}, {10,16}, {9,15}, {11,13}, {9,22}, {8,23}, {3,18}, {1,15}, {3,15}, {10,14}, {7,15}, {4,16}, {2,22}, {6,16}, {4,14}, {8,14}, {3,17}, {1,13}, {11,21}, {2,20}, {12,20}, {3,22}, {11,24}, {12,21}, {2,23}, {10,24}, {1,19}, {8,22}, {7,13}, {6,19}, {9,18}, {10,17}, {9,17}, {7,19}, {2,14} }; // ETB24.10 (= ET24.12) // Bipartite(12,12) Valencies [5,5] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 480 EdgesBipt[24][10]:={ {12,20}, {4,24}, {8,19}, {11,16}, {4,23}, {1,14}, {9,23}, {11,15}, {9,20}, {11,17}, {2,24}, {12,16}, {8,21}, {3,21}, {8,15}, {5,15}, {8,24}, {3,23}, {5,16}, {6,16}, {5,20}, {3,16}, {2,20}, {10,23}, {7,18}, {5,19}, {7,15}, {2,15}, {3,14}, {3,18}, {12,24}, {4,17}, {1,18}, {7,22}, {7,21}, {9,13}, {11,13}, {4,22}, {6,19}, {10,19}, {9,18}, {5,18}, {1,13}, {8,14}, {7,17}, {1,19}, {10,22}, {10,21}, {1,22}, {2,13}, {4,14}, {10,20}, {12,17}, {11,14}, {6,23}, {2,22}, {6,13}, {9,17}, {6,24}, {12,21} }; // ETB24.11 (= ET24.13) // Bipartite(6,18) Valencies [6,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 559872 EdgesBipt[24][11]:={ {6,7}, {1,20}, {3,16}, {6,13}, {3,10}, {4,17}, {5,24}, {1,14}, {5,18}, {4,23}, {1,7}, {3,15}, {2,21}, {4,16}, {3,21}, {6,18}, {6,12}, {5,12}, {1,13}, {5,23}, {2,20}, {6,24}, {3,22}, {4,22}, {3,9}, {4,11}, {5,11}, {1,19}, {5,17}, {2,8}, {2,15}, {6,19}, {4,10}, {2,9}, {2,14}, {1,8} }; // ETB24.12 (= ET24.14) // Bipartite(6,18) Valencies [6,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36864 EdgesBipt[24][12]:={ {4,20}, {6,13}, {6,21}, {3,10}, {5,13}, {5,24}, {3,19}, {4,7}, {2,24}, {1,7}, {3,23}, {3,14}, {6,8}, {5,20}, {4,16}, {3,21}, {5,22}, {6,12}, {1,16}, {4,19}, {5,15}, {1,17}, {6,17}, {2,18}, {4,11}, {6,22}, {5,11}, {2,23}, {1,18}, {3,12}, {2,15}, {1,9}, {4,10}, {2,9}, {2,14}, {1,8} }; // ETB24.13 (= ET24.15) // Bipartite(8,16) Valencies [6,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12288 EdgesBipt[24][13]:={ {2,11}, {4,24}, {4,23}, {7,11}, {1,24}, {3,12}, {2,10}, {7,12}, {8,16}, {8,21}, {4,10}, {3,21}, {6,12}, {6,10}, {5,15}, {8,24}, {3,23}, {4,16}, {3,20}, {2,21}, {5,9}, {5,23}, {4,18}, {1,16}, {3,15}, {6,20}, {2,18}, {5,17}, {8,13}, {7,22}, {8,22}, {4,15}, {7,20}, {1,17}, {7,19}, {6,18}, {2,19}, {5,14}, {3,13}, {6,17}, {8,14}, {1,19}, {1,9}, {2,13}, {7,14}, {1,11}, {5,22}, {6,9} }; // ETB24.14 (= ET24.16) // Bipartite(12,12) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 288 EdgesBipt[24][14]:={ {3,22}, {4,13}, {4,24}, {11,16}, {9,19}, {1,14}, {9,23}, {7,16}, {12,18}, {9,20}, {11,17}, {7,23}, {8,21}, {3,21}, {8,15}, {11,20}, {9,15}, {5,15}, {3,23}, {3,24}, {6,15}, {3,20}, {11,21}, {2,21}, {5,16}, {5,20}, {10,13}, {2,16}, {10,16}, {1,16}, {2,20}, {10,23}, {6,20}, {8,13}, {2,15}, {6,21}, {3,18}, {12,19}, {12,24}, {4,17}, {7,22}, {10,24}, {4,22}, {6,19}, {9,22}, {10,19}, {9,18}, {10,17}, {12,22}, {5,14}, {2,17}, {5,18}, {1,13}, {8,14}, {8,18}, {5,13}, {1,19}, {7,17}, {1,22}, {2,13}, {4,14}, {1,23}, {12,15}, {7,14}, {4,19}, {11,18}, {11,14}, {8,17}, {6,23}, {7,24}, {6,24}, {12,21} }; // ETB24.15 (= ET24.17) // Bipartite(12,12) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1152 EdgesBipt[24][15]:={ {3,22}, {2,14}, {8,19}, {10,15}, {11,16}, {4,23}, {9,19}, {1,14}, {8,20}, {12,18}, {6,14}, {11,24}, {8,15}, {7,13}, {9,15}, {5,15}, {8,24}, {3,23}, {11,23}, {6,15}, {3,20}, {2,21}, {5,16}, {6,16}, {5,21}, {10,13}, {4,18}, {10,16}, {3,16}, {2,20}, {1,16}, {10,23}, {7,18}, {6,20}, {1,21}, {4,21}, {4,20}, {3,19}, {12,23}, {6,21}, {12,24}, {7,22}, {8,22}, {10,24}, {4,15}, {7,20}, {9,13}, {1,17}, {9,18}, {10,17}, {12,22}, {2,17}, {5,18}, {9,14}, {3,13}, {2,23}, {5,13}, {1,19}, {1,22}, {2,13}, {7,14}, {4,19}, {11,19}, {11,18}, {12,17}, {11,14}, {5,22}, {8,17}, {7,24}, {9,17}, {6,24}, {12,21} }; // ETB24.16 (= ET24.18) // Bipartite(12,12) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1152 EdgesBipt[24][16]:={ {3,22}, {2,14}, {4,13}, {12,20}, {4,24}, {8,19}, {4,23}, {9,19}, {1,14}, {7,16}, {5,24}, {12,18}, {9,20}, {11,17}, {2,24}, {9,21}, {8,16}, {3,21}, {8,15}, {11,20}, {9,15}, {5,15}, {3,23}, {11,23}, {11,21}, {5,16}, {6,16}, {5,21}, {10,13}, {4,18}, {10,16}, {1,15}, {9,24}, {3,16}, {2,20}, {7,18}, {4,21}, {5,17}, {8,13}, {3,14}, {3,18}, {12,13}, {4,15}, {7,20}, {1,17}, {6,19}, {10,19}, {12,22}, {9,14}, {6,17}, {2,23}, {8,14}, {8,18}, {7,17}, {1,19}, {10,22}, {10,21}, {1,22}, {2,13}, {1,23}, {12,15}, {7,14}, {11,19}, {10,20}, {11,18}, {12,17}, {5,22}, {6,23}, {2,22}, {6,13}, {7,24}, {6,24} }; // ETB24.17 (= ET24.19) // Bipartite(12,12) Valencies [6,6] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 26873856 EdgesBipt[24][17]:={ {2,14}, {4,13}, {8,19}, {11,16}, {4,23}, {1,14}, {11,15}, {7,16}, {2,24}, {7,23}, {9,21}, {8,23}, {6,14}, {11,24}, {8,21}, {8,15}, {11,20}, {3,23}, {11,23}, {3,24}, {3,20}, {6,16}, {5,21}, {2,16}, {10,16}, {3,16}, {2,20}, {3,15}, {6,20}, {2,18}, {1,21}, {4,21}, {3,19}, {5,17}, {7,15}, {8,13}, {10,14}, {12,23}, {12,13}, {12,19}, {4,17}, {1,18}, {10,24}, {4,15}, {7,20}, {9,13}, {1,17}, {7,19}, {6,18}, {9,22}, {6,22}, {9,18}, {5,14}, {5,18}, {9,14}, {1,13}, {5,13}, {10,22}, {1,22}, {12,15}, {4,19}, {11,19}, {10,20}, {12,17}, {5,22}, {8,17}, {2,22}, {7,24}, {9,17}, {10,18}, {6,24}, {12,21} }; // ETB24.18 (= ET24.20) // Bipartite(12,12) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1990656 EdgesBipt[24][18]:={ {2,14}, {4,24}, {4,23}, {9,19}, {11,15}, {1,24}, {5,24}, {12,18}, {11,17}, {7,23}, {9,21}, {8,16}, {8,23}, {6,14}, {12,16}, {3,21}, {11,20}, {9,15}, {5,15}, {8,24}, {3,23}, {11,23}, {4,16}, {3,20}, {11,21}, {6,16}, {5,21}, {10,13}, {4,18}, {2,16}, {10,16}, {1,15}, {9,24}, {2,20}, {3,15}, {6,20}, {3,17}, {5,19}, {1,21}, {7,15}, {10,14}, {12,23}, {3,14}, {12,24}, {4,17}, {1,18}, {7,21}, {8,22}, {7,20}, {9,13}, {4,22}, {6,19}, {10,19}, {6,22}, {2,19}, {9,18}, {12,22}, {5,18}, {1,13}, {8,18}, {5,13}, {1,19}, {7,17}, {10,22}, {2,13}, {7,14}, {10,20}, {12,17}, {11,14}, {8,17}, {2,22}, {6,13} }; // ETB24.19 (= ET24.23) // Bipartite(8,16) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[24][19]:={ {5,12}, {3,22}, {2,14}, {4,24}, {4,23}, {1,24}, {7,23}, {2,10}, {8,9}, {7,12}, {8,16}, {1,10}, {4,11}, {4,10}, {3,21}, {8,15}, {6,12}, {5,11}, {1,20}, {3,9}, {3,20}, {2,21}, {5,16}, {6,16}, {5,23}, {5,21}, {4,12}, {7,10}, {1,15}, {3,11}, {3,16}, {2,20}, {7,18}, {4,21}, {4,20}, {3,19}, {5,17}, {7,15}, {8,13}, {2,15}, {1,18}, {8,22}, {6,18}, {6,19}, {5,14}, {3,13}, {6,17}, {2,23}, {8,14}, {8,18}, {5,13}, {1,19}, {7,17}, {6,11}, {1,9}, {1,22}, {2,13}, {7,14}, {4,19}, {8,17}, {2,22}, {7,24}, {6,24}, {6,9} }; // ETB24.20 (= ET24.24) // Bipartite(8,16) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 42467328 EdgesBipt[24][20]:={ {5,12}, {2,14}, {8,19}, {4,23}, {7,11}, {7,16}, {1,24}, {3,12}, {5,24}, {7,23}, {2,10}, {7,12}, {8,23}, {6,14}, {8,11}, {4,11}, {4,10}, {8,15}, {6,10}, {1,20}, {1,12}, {3,23}, {3,24}, {3,20}, {2,21}, {5,9}, {5,16}, {5,21}, {8,10}, {5,20}, {4,18}, {3,11}, {3,16}, {1,16}, {3,15}, {2,18}, {1,21}, {3,19}, {5,17}, {7,15}, {6,21}, {8,22}, {4,15}, {7,20}, {1,17}, {7,19}, {6,18}, {4,22}, {6,22}, {2,17}, {6,17}, {1,13}, {8,14}, {8,18}, {5,13}, {2,9}, {1,9}, {2,13}, {4,14}, {4,19}, {2,22}, {6,13}, {7,24}, {6,9} }; // ETB24.21 (= ET24.25) // Bipartite(8,16) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49152 EdgesBipt[24][21]:={ {5,12}, {3,22}, {2,14}, {4,13}, {4,24}, {7,11}, {7,16}, {1,24}, {2,24}, {7,23}, {8,9}, {8,23}, {4,11}, {5,10}, {3,21}, {8,15}, {6,12}, {5,11}, {6,10}, {1,20}, {1,12}, {5,15}, {4,16}, {2,21}, {5,23}, {8,10}, {5,20}, {4,12}, {2,16}, {1,15}, {3,11}, {1,16}, {6,20}, {5,19}, {4,21}, {4,20}, {3,19}, {7,15}, {3,14}, {3,18}, {6,21}, {7,22}, {8,22}, {1,17}, {7,19}, {6,18}, {2,17}, {5,18}, {3,13}, {6,17}, {8,14}, {8,18}, {2,9}, {1,9}, {2,13}, {1,23}, {4,19}, {7,14}, {8,17}, {2,22}, {6,13}, {7,24}, {3,10}, {6,9} }; // ETB24.22 (= ET24.26) // Bipartite(12,12) Valencies [8,8] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 2293235712 EdgesBipt[24][22]:={ {2,14}, {4,13}, {12,20}, {4,24}, {8,19}, {10,15}, {11,16}, {9,23}, {7,16}, {8,20}, {1,24}, {12,18}, {9,20}, {11,17}, {9,21}, {8,16}, {8,23}, {6,14}, {3,21}, {11,20}, {7,13}, {9,15}, {3,23}, {11,23}, {4,16}, {3,24}, {6,15}, {3,20}, {5,16}, {5,23}, {5,20}, {10,13}, {4,18}, {2,16}, {10,16}, {1,15}, {9,24}, {1,16}, {2,20}, {3,15}, {7,18}, {6,20}, {3,17}, {5,19}, {1,21}, {4,21}, {11,22}, {5,17}, {7,15}, {8,13}, {12,23}, {3,14}, {12,14}, {3,18}, {6,21}, {12,24}, {1,18}, {7,22}, {7,21}, {8,22}, {10,24}, {4,15}, {11,13}, {7,19}, {6,18}, {4,22}, {10,19}, {2,19}, {9,18}, {5,14}, {2,17}, {9,14}, {6,17}, {2,23}, {1,13}, {8,14}, {5,13}, {1,19}, {10,22}, {10,21}, {1,22}, {2,13}, {12,15}, {4,19}, {11,19}, {12,17}, {11,14}, {5,22}, {8,17}, {2,22}, {6,23}, {7,24}, {9,17}, {10,18}, {6,24}, {12,21} }; // ETB24.23 (= ET24.31) // Bipartite(12,12) Valencies [9,9] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 80621568 EdgesBipt[24][23]:={ {9,13}, {10,19}, {7,19}, {11,15}, {5,14}, {10,21}, {3,15}, {8,24}, {10,22}, {6,18}, {11,23}, {12,19}, {2,22}, {6,14}, {6,17}, {12,16}, {7,24}, {6,23}, {4,16}, {6,13}, {12,15}, {12,17}, {5,24}, {9,21}, {11,16}, {11,22}, {7,23}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,13}, {9,17}, {10,18}, {6,22}, {5,21}, {10,23}, {3,19}, {3,18}, {8,15}, {12,21}, {2,14}, {4,20}, {2,23}, {1,17}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {2,17}, {3,14}, {2,13}, {10,15}, {3,22}, {7,20}, {3,23}, {8,17}, {7,14}, {6,15}, {11,18}, {4,21}, {4,17}, {4,15}, {8,19}, {11,14}, {12,24}, {12,23}, {5,22}, {6,19}, {2,21}, {11,19}, {7,18}, {5,20}, {10,14}, {8,16}, {5,17}, {3,24}, {9,24}, {8,20}, {8,23}, {7,16}, {1,14}, {9,18}, {10,17}, {1,20}, {7,22}, {3,16}, {1,13}, {3,20}, {11,20}, {9,14}, {5,18}, {9,16}, {4,23}, {11,24}, {5,16}, {4,13}, {1,21}, {1,18}, {12,20}, {4,19}, {4,24}, {12,13}, {9,20}, {1,24}, {9,22} }; // ETB24.24 (= ET24.32) // Bipartite(4,20) Valencies [10,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1658880000 EdgesBipt[24][24]:={ {3,24}, {1,20}, {3,16}, {4,6}, {3,20}, {3,19}, {4,7}, {2,17}, {4,23}, {1,24}, {3,23}, {3,8}, {1,5}, {4,15}, {3,15}, {2,21}, {4,18}, {1,16}, {2,22}, {4,14}, {4,19}, {3,11}, {1,12}, {2,13}, {1,13}, {1,17}, {2,18}, {4,11}, {4,22}, {2,6}, {3,12}, {1,21}, {1,9}, {2,5}, {2,10}, {4,10}, {2,9}, {3,7}, {2,14}, {1,8} }; // ETB24.25 (= ET24.33) // Bipartite(9,15) Valencies [10,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2239488000 EdgesBipt[24][25]:={ {2,11}, {3,22}, {5,12}, {2,14}, {4,13}, {4,23}, {9,19}, {1,14}, {7,11}, {7,16}, {8,20}, {3,12}, {5,24}, {2,24}, {7,23}, {9,21}, {9,16}, {8,23}, {1,10}, {8,11}, {4,11}, {4,10}, {8,21}, {3,21}, {8,15}, {6,12}, {7,13}, {6,10}, {5,11}, {9,15}, {1,20}, {5,15}, {8,24}, {4,16}, {3,24}, {2,12}, {6,15}, {2,21}, {6,16}, {5,23}, {5,21}, {5,20}, {7,10}, {9,24}, {3,16}, {2,20}, {1,16}, {3,15}, {9,10}, {2,18}, {9,12}, {4,20}, {3,19}, {5,17}, {2,15}, {8,12}, {3,18}, {6,21}, {4,17}, {7,22}, {7,20}, {9,13}, {1,17}, {7,19}, {4,22}, {6,18}, {6,19}, {9,22}, {6,22}, {9,18}, {5,14}, {2,17}, {5,18}, {3,13}, {2,23}, {1,13}, {8,14}, {8,18}, {1,19}, {7,17}, {1,22}, {4,14}, {1,23}, {4,19}, {7,14}, {1,11}, {8,17}, {6,13}, {6,24}, {3,10} }; // ETB24.26 (= ET24.34) // Bipartite(12,12) Valencies [10,10] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 5898240 EdgesBipt[24][26]:={ {1,15}, {10,19}, {9,13}, {7,19}, {11,15}, {5,14}, {3,15}, {11,17}, {8,24}, {10,22}, {6,18}, {11,23}, {4,14}, {12,19}, {2,22}, {6,14}, {6,17}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {12,15}, {12,17}, {12,14}, {9,19}, {9,21}, {11,16}, {12,18}, {11,22}, {7,15}, {5,13}, {2,18}, {2,15}, {8,14}, {9,17}, {10,18}, {5,21}, {10,23}, {3,19}, {3,18}, {8,22}, {8,15}, {12,21}, {2,14}, {5,23}, {4,20}, {2,23}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {10,16}, {3,22}, {9,23}, {5,19}, {10,24}, {5,15}, {7,20}, {7,13}, {8,17}, {3,23}, {7,14}, {6,15}, {1,19}, {4,17}, {9,15}, {11,14}, {12,24}, {12,23}, {2,24}, {11,13}, {5,22}, {6,19}, {2,21}, {11,19}, {7,18}, {5,20}, {4,22}, {10,14}, {8,16}, {5,17}, {3,24}, {9,24}, {8,20}, {8,23}, {7,16}, {6,20}, {11,21}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {7,22}, {3,16}, {1,13}, {4,18}, {7,21}, {11,20}, {3,17}, {10,20}, {6,24}, {9,16}, {4,23}, {5,16}, {4,13}, {1,21}, {1,18}, {12,20}, {4,19}, {4,24}, {12,13}, {1,24}, {9,22} }; // ETB24.27 (= ET24.36) // Bipartite(12,12) Valencies [11,11] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 958003200 EdgesBipt[24][27]:={ {1,15}, {9,13}, {10,19}, {7,19}, {11,15}, {5,14}, {10,21}, {11,17}, {8,24}, {10,22}, {6,18}, {11,23}, {4,14}, {12,19}, {2,22}, {6,14}, {6,17}, {12,16}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {12,15}, {12,17}, {12,14}, {12,22}, {5,24}, {9,19}, {9,21}, {11,16}, {12,18}, {11,22}, {7,23}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,13}, {9,17}, {6,22}, {5,21}, {10,23}, {3,19}, {3,18}, {8,22}, {8,15}, {2,14}, {5,23}, {4,20}, {1,17}, {3,13}, {2,16}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {3,14}, {2,13}, {10,15}, {10,16}, {3,22}, {5,19}, {9,23}, {10,24}, {5,15}, {7,20}, {3,23}, {8,17}, {7,14}, {6,15}, {1,19}, {11,18}, {4,21}, {4,15}, {9,15}, {8,19}, {11,14}, {12,24}, {12,23}, {2,24}, {11,13}, {5,22}, {1,23}, {2,21}, {11,19}, {7,18}, {4,22}, {10,14}, {8,16}, {5,17}, {3,24}, {9,24}, {8,20}, {8,23}, {7,16}, {6,20}, {6,16}, {11,21}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {7,22}, {3,16}, {1,13}, {4,18}, {3,20}, {7,21}, {11,20}, {9,14}, {3,17}, {10,20}, {6,24}, {5,18}, {7,17}, {4,23}, {5,16}, {4,13}, {1,21}, {1,18}, {12,20}, {4,19}, {4,24}, {12,13}, {9,20}, {1,24}, {9,22} }; // ETB24.28 (= ET24.37) // Bipartite(6,18) Valencies [12,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17915904000 EdgesBipt[24][28]:={ {2,11}, {3,22}, {5,12}, {4,8}, {2,14}, {4,13}, {4,23}, {1,14}, {3,12}, {5,24}, {2,24}, {1,10}, {4,11}, {4,10}, {3,21}, {6,12}, {5,11}, {6,10}, {4,7}, {1,20}, {5,15}, {4,16}, {3,24}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {2,21}, {5,9}, {5,23}, {6,16}, {5,21}, {5,20}, {1,7}, {3,16}, {3,7}, {2,20}, {1,16}, {3,15}, {2,18}, {4,20}, {3,19}, {5,17}, {2,15}, {3,18}, {6,21}, {4,17}, {1,17}, {4,22}, {6,18}, {6,19}, {6,22}, {5,14}, {2,17}, {5,18}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,22}, {4,14}, {2,8}, {1,23}, {4,19}, {1,11}, {6,13}, {6,24}, {3,10}, {6,9} }; // ETB24.29 (= ET24.38) // Bipartite(6,18) Valencies [12,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36864 EdgesBipt[24][29]:={ {2,11}, {3,22}, {4,8}, {2,14}, {4,13}, {1,14}, {3,12}, {5,24}, {2,24}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {3,21}, {6,12}, {5,11}, {4,7}, {1,12}, {5,15}, {3,23}, {4,16}, {3,24}, {6,15}, {3,20}, {5,8}, {5,9}, {5,16}, {4,12}, {5,20}, {5,7}, {2,16}, {1,7}, {2,7}, {3,11}, {1,16}, {2,20}, {3,15}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {2,15}, {3,14}, {6,21}, {4,17}, {1,18}, {1,17}, {4,22}, {6,18}, {6,22}, {2,19}, {5,18}, {3,13}, {6,17}, {2,23}, {1,8}, {1,19}, {2,9}, {5,13}, {1,9}, {1,23}, {4,19}, {5,22}, {6,23}, {6,13}, {6,8}, {6,24}, {3,10}, {6,9} }; // ETB24.30 (= ET24.39) // Bipartite(8,16) Valencies [12,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[24][30]:={ {5,12}, {4,13}, {4,24}, {8,19}, {4,23}, {1,14}, {7,11}, {7,16}, {8,20}, {3,12}, {5,24}, {7,9}, {2,24}, {7,23}, {2,10}, {7,12}, {8,16}, {8,23}, {6,14}, {8,11}, {4,11}, {4,10}, {3,21}, {8,15}, {5,11}, {6,10}, {1,12}, {5,15}, {8,24}, {3,23}, {4,16}, {3,24}, {3,9}, {2,12}, {6,15}, {3,20}, {2,21}, {5,9}, {6,16}, {5,21}, {8,10}, {4,12}, {5,20}, {4,18}, {2,16}, {7,10}, {3,11}, {1,16}, {2,20}, {3,15}, {7,18}, {6,20}, {3,17}, {5,19}, {2,18}, {1,21}, {4,21}, {3,19}, {8,13}, {2,15}, {3,14}, {6,21}, {4,17}, {1,18}, {7,22}, {8,22}, {4,15}, {7,20}, {1,17}, {6,19}, {6,22}, {5,14}, {2,17}, {5,18}, {6,17}, {1,13}, {8,14}, {8,18}, {1,19}, {2,9}, {5,13}, {7,17}, {1,9}, {1,22}, {2,13}, {1,23}, {4,19}, {7,14}, {1,11}, {5,22}, {2,22}, {6,23}, {6,13}, {7,24}, {3,10}, {6,9} }; // ETB24.31 (= ET24.40) // Bipartite(8,16) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 127401984 EdgesBipt[24][31]:={ {7,19}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {2,22}, {6,14}, {6,17}, {2,11}, {7,24}, {6,23}, {4,16}, {6,13}, {5,24}, {1,9}, {7,23}, {7,15}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {8,13}, {7,11}, {6,22}, {5,9}, {5,21}, {3,19}, {4,12}, {3,18}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {1,22}, {1,16}, {6,21}, {2,17}, {8,21}, {3,14}, {2,13}, {1,12}, {3,22}, {7,20}, {3,23}, {8,17}, {7,14}, {6,15}, {8,11}, {4,21}, {4,17}, {4,15}, {2,9}, {8,19}, {4,11}, {5,22}, {6,19}, {2,21}, {7,18}, {8,9}, {5,20}, {8,16}, {5,17}, {3,24}, {3,12}, {8,20}, {8,23}, {7,16}, {1,14}, {1,20}, {7,22}, {3,16}, {1,13}, {5,10}, {3,20}, {5,12}, {4,9}, {5,18}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,24}, {8,12}, {1,24} }; // ETB24.32 (= ET24.41) // Bipartite(12,12) Valencies [12,12] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 458885065605120000 EdgesBipt[24][32]:={ {11,17}, {10,24}, {1,20}, {5,17}, {2,24}, {11,20}, {6,16}, {7,15}, {4,24}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {12,22}, {3,13}, {3,15}, {10,23}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {1,21}, {11,14}, {2,14}, {8,15}, {4,23}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {12,20}, {9,19}, {8,14}, {11,15}, {11,13}, {11,22}, {7,13}, {9,14}, {1,22}, {12,13}, {12,16}, {5,23}, {4,21}, {3,20}, {10,21}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {7,16}, {5,18}, {11,23}, {1,23}, {6,24}, {7,17}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {7,14}, {10,13}, {6,23}, {9,22}, {6,15}, {2,17}, {9,13}, {8,21}, {3,19}, {1,24}, {12,23}, {11,24}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {6,19}, {1,15}, {12,15}, {6,14}, {3,16}, {11,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {8,18}, {4,18}, {11,19}, {10,19}, {4,20}, {5,13}, {8,20}, {12,24}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB24.33 (= ET24.43) // Bipartite(11,13) Valencies [13,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 248562743869440000 EdgesBipt[24][33]:={ {11,17}, {10,24}, {1,20}, {5,17}, {2,24}, {11,20}, {6,16}, {7,15}, {4,24}, {8,12}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {3,13}, {3,15}, {10,23}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {1,21}, {11,14}, {11,12}, {2,14}, {8,15}, {4,23}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {9,19}, {8,14}, {11,15}, {11,13}, {3,12}, {11,22}, {7,13}, {9,14}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {10,21}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {7,16}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {7,14}, {10,13}, {10,12}, {6,23}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {11,24}, {3,23}, {8,23}, {3,21}, {9,12}, {6,19}, {1,15}, {6,14}, {3,16}, {11,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {8,18}, {4,18}, {11,19}, {10,19}, {4,12}, {4,20}, {5,13}, {8,20}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB24.34 (= ET24.44) // Bipartite(3,21) Valencies [14,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 768144384000 EdgesBipt[24][34]:={ {1,4}, {1,20}, {3,24}, {3,16}, {3,10}, {1,14}, {1,23}, {3,19}, {2,17}, {2,24}, {1,7}, {2,11}, {1,5}, {3,6}, {3,18}, {3,15}, {3,4}, {2,21}, {1,22}, {3,21}, {1,16}, {1,10}, {1,17}, {1,13}, {2,20}, {2,18}, {3,22}, {3,9}, {1,11}, {2,23}, {1,19}, {2,6}, {2,8}, {3,12}, {2,15}, {3,13}, {2,5}, {2,12}, {2,9}, {3,7}, {2,14}, {1,8} }; // ETB24.35 (= ET24.45) // Bipartite(8,16) Valencies [14,7] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10321920 EdgesBipt[24][35]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {4,16}, {5,24}, {1,9}, {7,23}, {7,15}, {5,13}, {2,19}, {2,18}, {6,9}, {2,15}, {8,14}, {8,13}, {7,11}, {6,22}, {5,9}, {5,21}, {3,19}, {8,22}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,15}, {7,20}, {7,13}, {3,23}, {8,17}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {8,19}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {8,9}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {8,16}, {3,12}, {8,20}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {7,9}, {1,20}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {6,24}, {5,18}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {4,24}, {8,12} }; // ETB24.36 (= ET24.46) // Bipartite(10,14) Valencies [14,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 316352583106560000 EdgesBipt[24][36]:={ {1,15}, {9,13}, {10,19}, {7,19}, {6,12}, {5,14}, {10,21}, {3,15}, {8,24}, {10,22}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {9,12}, {5,24}, {9,19}, {9,21}, {7,23}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {7,11}, {6,22}, {5,21}, {10,23}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {2,14}, {5,23}, {3,11}, {4,20}, {6,11}, {2,23}, {1,17}, {3,13}, {2,16}, {10,12}, {1,22}, {1,16}, {6,21}, {10,13}, {2,17}, {8,18}, {8,21}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {3,22}, {5,19}, {9,23}, {10,24}, {5,15}, {7,20}, {7,13}, {3,23}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {2,12}, {4,22}, {5,20}, {10,14}, {3,24}, {5,17}, {8,16}, {9,24}, {3,12}, {8,20}, {8,23}, {7,16}, {6,20}, {6,16}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {3,20}, {7,21}, {5,12}, {9,14}, {3,17}, {10,20}, {6,24}, {5,18}, {9,16}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {10,11}, {1,18}, {4,19}, {4,24}, {8,12}, {9,20}, {1,24}, {9,22} }; // ETB24.37 (= ET24.48) // Bipartite(4,20) Valencies [15,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4976640000 EdgesBipt[24][37]:={ {2,11}, {3,22}, {2,14}, {4,8}, {4,13}, {4,9}, {4,24}, {4,23}, {1,14}, {1,24}, {3,12}, {2,10}, {1,10}, {4,11}, {1,6}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {3,23}, {4,16}, {3,24}, {3,20}, {2,21}, {4,12}, {2,7}, {3,11}, {3,16}, {3,7}, {1,16}, {3,15}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {3,18}, {2,5}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {3,6}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {2,9}, {1,9}, {1,22}, {2,13}, {4,19}, {2,22}, {3,10} }; // ETB24.38 (= ET24.49) // Bipartite(6,18) Valencies [15,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33592320 EdgesBipt[24][38]:={ {2,11}, {5,12}, {2,14}, {4,8}, {4,13}, {4,9}, {4,23}, {1,24}, {3,12}, {5,24}, {2,24}, {2,10}, {1,10}, {6,14}, {4,11}, {4,10}, {5,10}, {3,21}, {6,12}, {5,11}, {6,10}, {4,7}, {1,12}, {5,15}, {3,8}, {3,23}, {4,16}, {3,9}, {3,24}, {2,12}, {6,7}, {6,15}, {3,20}, {5,8}, {5,9}, {5,16}, {5,23}, {6,16}, {5,21}, {5,20}, {2,16}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {3,7}, {2,20}, {3,15}, {6,20}, {3,17}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {3,14}, {3,18}, {6,21}, {4,17}, {1,18}, {4,15}, {1,17}, {4,22}, {6,18}, {6,19}, {6,22}, {2,19}, {5,14}, {2,17}, {5,18}, {3,13}, {2,23}, {1,13}, {1,19}, {1,9}, {1,22}, {2,13}, {2,8}, {4,14}, {1,23}, {4,19}, {1,11}, {5,22}, {2,22}, {6,13}, {6,8}, {6,24}, {6,9} }; // ETB24.39 (= ET24.50) // Bipartite(9,15) Valencies [15,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 474528874659840000 EdgesBipt[24][39]:={ {1,15}, {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {9,12}, {5,24}, {9,19}, {9,21}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {9,10}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {7,11}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,22}, {5,19}, {9,23}, {5,15}, {7,20}, {7,13}, {3,23}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {9,15}, {8,19}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {8,16}, {9,24}, {3,12}, {8,20}, {8,23}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {9,14}, {3,17}, {6,24}, {5,18}, {9,16}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {4,24}, {8,12}, {9,20}, {1,24}, {9,22} }; // ETB24.40 (= ET24.52) // Bipartite(8,16) Valencies [16,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 843606888284160000 EdgesBipt[24][40]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {5,24}, {1,9}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {8,14}, {8,13}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {7,20}, {3,23}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {2,9}, {8,19}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {8,9}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {8,16}, {3,12}, {8,20}, {8,23}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {6,24}, {5,18}, {7,17}, {4,23}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {4,24}, {8,12}, {1,24} }; // ETB24.41 (= ET24.54) // Bipartite(7,17) Valencies [17,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1792664637603840000 EdgesBipt[24][41]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {5,24}, {1,9}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {7,20}, {3,23}, {7,13}, {7,14}, {6,15}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {2,24}, {4,11}, {5,22}, {7,8}, {6,19}, {1,23}, {2,21}, {5,8}, {7,18}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {2,8}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,8}, {3,20}, {7,21}, {5,12}, {3,17}, {4,9}, {6,24}, {5,18}, {7,17}, {4,23}, {1,8}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {4,24}, {1,24} }; // ETB24.42 (= ET24.55) // Bipartite(6,18) Valencies [18,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4609709068124160000 EdgesBipt[24][42]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {3,7}, {6,17}, {2,11}, {6,23}, {2,20}, {4,16}, {6,13}, {5,24}, {1,9}, {6,7}, {5,7}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {5,9}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {3,23}, {6,15}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,8}, {3,20}, {5,12}, {3,17}, {4,9}, {6,24}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {4,24}, {1,24} }; // ETB24.43 (= ET24.57) // Bipartite(5,19) Valencies [19,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14597412049059840000 EdgesBipt[24][43]:={ {1,15}, {5,14}, {3,15}, {4,14}, {1,11}, {2,22}, {4,8}, {3,7}, {2,11}, {2,20}, {4,16}, {5,24}, {1,9}, {5,7}, {4,6}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {5,9}, {5,21}, {3,19}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {3,23}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {2,24}, {4,11}, {5,22}, {1,23}, {2,21}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,8}, {3,20}, {5,12}, {3,6}, {3,17}, {4,9}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,6}, {1,18}, {4,19}, {4,10}, {4,24}, {1,24} }; // ETB24.44 (= ET24.58) // Bipartite(4,20) Valencies [20,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 58389648196239360000 EdgesBipt[24][44]:={ {2,11}, {3,22}, {2,14}, {4,8}, {4,13}, {4,9}, {4,24}, {4,23}, {1,14}, {1,24}, {3,12}, {2,24}, {2,10}, {1,10}, {4,11}, {4,10}, {3,21}, {1,6}, {3,5}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {3,23}, {4,16}, {3,9}, {3,24}, {2,12}, {3,20}, {2,21}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {4,22}, {3,6}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {4,14}, {1,23}, {4,19}, {1,11}, {2,22}, {3,10} }; // ETB24.45 (= ET24.60) // Bipartite(3,21) Valencies [21,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 306545653030256640000 EdgesBipt[24][45]:={ {2,11}, {3,22}, {2,14}, {1,14}, {1,24}, {3,12}, {2,24}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {3,9}, {3,24}, {2,12}, {2,4}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {1,5}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {1,23}, {1,11}, {2,22}, {3,10} }; // ETB24.46 (= ET24.62) // Bipartite(2,22) Valencies [22,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2248001455555215360000 EdgesBipt[24][46]:={ {1,4}, {1,20}, {1,3}, {1,14}, {1,23}, {2,17}, {1,24}, {2,24}, {1,7}, {2,11}, {2,19}, {1,5}, {1,15}, {2,21}, {1,22}, {1,16}, {1,10}, {2,22}, {2,7}, {1,12}, {1,13}, {1,17}, {2,13}, {2,3}, {2,20}, {2,18}, {2,4}, {1,11}, {2,23}, {1,19}, {1,18}, {2,6}, {2,8}, {2,16}, {2,15}, {1,21}, {1,9}, {2,5}, {2,10}, {2,12}, {2,9}, {1,6}, {1,8}, {2,14} }; // ETB24.47 (= ET24.64) // Bipartite(1,23) Valencies [23,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 25852016738884976640000 EdgesBipt[24][47]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,2}, {1,3}, {1,17}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,6}, {1,14}, {1,18}, {1,21}, {1,19}, {1,20}, {1,8}, {1,24}, {1,9}, {1,23} }; // Total number of connected ET bipartite graphs of order 24 is 47 // ******************************************************************************************** // Order 25 // ETB25.1 (= ET25.2) // Bipartite(10,15) Valencies [3,2] // Diameter 6 Girth 10 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[25][1]:={ {1,16}, {5,14}, {9,13}, {3,24}, {8,22}, {8,15}, {3,19}, {6,18}, {7,13}, {7,23}, {8,12}, {4,15}, {1,11}, {2,22}, {5,23}, {7,17}, {6,21}, {9,16}, {9,20}, {2,21}, {5,24}, {2,17}, {6,11}, {1,19}, {10,18}, {10,14}, {4,20}, {4,25}, {10,25}, {3,12} }; // ETB25.2 (= ET25.5) // Bipartite(10,15) Valencies [6,4] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[25][2]:={ {3,22}, {4,24}, {9,19}, {4,23}, {1,14}, {7,11}, {9,23}, {7,16}, {1,24}, {3,12}, {9,21}, {7,12}, {8,21}, {8,15}, {8,25}, {5,11}, {5,15}, {3,24}, {2,21}, {2,16}, {3,16}, {2,20}, {1,16}, {7,18}, {5,19}, {1,21}, {9,12}, {4,20}, {3,19}, {5,17}, {7,15}, {10,14}, {8,12}, {8,22}, {10,24}, {4,15}, {7,20}, {6,18}, {4,25}, {6,22}, {9,18}, {10,17}, {5,14}, {2,17}, {9,14}, {6,25}, {3,13}, {2,23}, {5,13}, {6,11}, {10,22}, {2,13}, {4,19}, {10,20}, {1,11}, {8,17}, {1,25}, {6,23}, {6,13}, {10,18} }; // ETB25.3 (= ET25.6) // Bipartite(10,15) Valencies [6,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2488320 EdgesBipt[25][3]:={ {5,12}, {4,13}, {4,23}, {1,14}, {9,23}, {1,24}, {5,24}, {9,25}, {9,20}, {7,12}, {8,16}, {8,23}, {8,11}, {6,14}, {8,21}, {3,21}, {9,15}, {3,23}, {10,12}, {2,12}, {6,16}, {4,18}, {3,11}, {3,16}, {2,20}, {1,16}, {5,19}, {1,21}, {4,20}, {7,15}, {5,17}, {8,13}, {10,14}, {2,15}, {6,21}, {3,18}, {7,25}, {7,22}, {10,24}, {4,15}, {7,20}, {9,13}, {4,25}, {6,19}, {10,19}, {9,18}, {10,17}, {5,14}, {2,17}, {3,13}, {8,18}, {7,17}, {1,19}, {6,11}, {10,22}, {2,25}, {1,11}, {5,22}, {2,22}, {6,24} }; // ETB25.4 (= ET25.7) // Bipartite(10,15) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 933120 EdgesBipt[25][4]:={ {3,22}, {4,13}, {10,15}, {4,23}, {1,14}, {1,24}, {3,12}, {5,24}, {9,25}, {9,20}, {9,21}, {9,16}, {7,12}, {8,16}, {6,14}, {8,11}, {4,11}, {8,21}, {9,15}, {5,15}, {3,23}, {9,11}, {4,16}, {2,12}, {5,20}, {10,13}, {4,18}, {5,25}, {1,16}, {2,20}, {10,23}, {3,17}, {5,19}, {1,21}, {4,21}, {2,15}, {8,12}, {3,18}, {7,22}, {8,22}, {7,19}, {6,18}, {6,19}, {5,14}, {2,17}, {3,13}, {7,17}, {1,19}, {2,25}, {10,25}, {7,14}, {10,20}, {1,11}, {8,17}, {6,23}, {2,22}, {6,13}, {7,24}, {10,18}, {6,24} }; // ETB25.5 (= ET25.9) // Bipartite(5,20) Valencies [8,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 79626240 EdgesBipt[25][5]:={ {2,25}, {5,12}, {4,10}, {1,16}, {5,14}, {5,17}, {4,23}, {3,21}, {3,16}, {5,22}, {3,11}, {4,13}, {5,9}, {2,10}, {4,15}, {1,11}, {2,15}, {5,19}, {1,6}, {2,22}, {4,18}, {1,14}, {5,7}, {2,17}, {3,23}, {5,24}, {1,21}, {3,6}, {1,19}, {2,7}, {1,24}, {4,20}, {4,25}, {1,9}, {3,18}, {3,13}, {3,8}, {2,12}, {4,8}, {2,20} }; // ETB25.6 (= ET25.10) // Bipartite(5,20) Valencies [8,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122880 EdgesBipt[25][6]:={ {4,20}, {4,6}, {5,14}, {5,24}, {1,14}, {1,23}, {3,19}, {2,17}, {1,24}, {3,8}, {3,18}, {3,15}, {4,16}, {4,21}, {5,20}, {3,21}, {1,16}, {2,22}, {5,15}, {3,11}, {2,7}, {1,13}, {2,13}, {5,25}, {2,18}, {4,11}, {3,9}, {4,22}, {5,7}, {2,23}, {1,19}, {5,17}, {2,8}, {1,9}, {2,12}, {3,25}, {4,10}, {4,12}, {1,6}, {5,10} }; // ETB25.7 (= ET25.13) // Bipartite(10,15) Valencies [9,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[25][7]:={ {5,12}, {2,14}, {4,13}, {10,15}, {9,19}, {7,11}, {9,23}, {7,16}, {8,20}, {1,24}, {5,24}, {9,25}, {7,23}, {9,21}, {7,12}, {8,16}, {6,14}, {4,11}, {8,21}, {3,21}, {8,15}, {8,25}, {1,20}, {1,12}, {5,15}, {3,23}, {4,16}, {2,12}, {6,15}, {5,16}, {5,23}, {6,16}, {5,21}, {4,12}, {10,13}, {4,18}, {3,11}, {9,24}, {3,16}, {2,20}, {10,23}, {3,15}, {7,18}, {6,20}, {3,17}, {5,19}, {1,21}, {3,25}, {10,11}, {2,15}, {3,14}, {8,12}, {6,21}, {8,22}, {10,24}, {7,20}, {1,17}, {4,22}, {4,25}, {6,19}, {9,22}, {6,22}, {2,19}, {9,18}, {2,17}, {5,18}, {9,14}, {3,13}, {2,23}, {1,13}, {8,18}, {5,13}, {1,19}, {7,17}, {6,11}, {10,22}, {2,13}, {4,14}, {10,25}, {4,19}, {7,14}, {10,20}, {1,11}, {1,25}, {8,17}, {2,22}, {7,24}, {9,17}, {10,18}, {6,24} }; // ETB25.8 (= ET25.14) // Bipartite(10,15) Valencies [9,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 933120 EdgesBipt[25][8]:={ {2,11}, {2,14}, {4,24}, {8,19}, {1,14}, {9,23}, {1,24}, {5,24}, {2,24}, {7,23}, {9,21}, {9,16}, {7,12}, {8,16}, {8,11}, {8,21}, {3,21}, {6,12}, {7,13}, {5,11}, {1,20}, {8,24}, {3,23}, {9,11}, {10,12}, {6,15}, {3,20}, {2,21}, {5,16}, {6,16}, {5,23}, {5,21}, {4,12}, {10,13}, {2,16}, {1,15}, {3,11}, {3,16}, {2,20}, {10,23}, {3,15}, {7,18}, {6,20}, {5,19}, {3,25}, {9,12}, {4,20}, {7,15}, {10,14}, {2,15}, {8,12}, {6,21}, {3,18}, {4,17}, {7,25}, {1,18}, {7,22}, {8,22}, {10,24}, {4,15}, {7,20}, {9,13}, {4,22}, {4,25}, {9,22}, {10,19}, {6,22}, {2,19}, {9,18}, {10,17}, {5,14}, {5,18}, {6,25}, {3,13}, {6,17}, {1,13}, {8,14}, {5,13}, {1,19}, {7,17}, {6,11}, {10,22}, {2,25}, {4,14}, {1,23}, {4,19}, {1,25}, {8,17}, {9,17}, {10,18} }; // ETB25.9 (= ET25.16) // Bipartite(5,20) Valencies [12,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122880 EdgesBipt[25][9]:={ {2,11}, {3,22}, {5,12}, {2,14}, {4,13}, {4,9}, {4,23}, {1,14}, {1,24}, {3,12}, {2,24}, {1,10}, {4,10}, {5,11}, {4,7}, {1,20}, {3,8}, {4,16}, {3,24}, {2,12}, {3,20}, {5,8}, {4,6}, {5,9}, {2,21}, {5,16}, {5,21}, {5,7}, {1,7}, {3,16}, {3,15}, {5,19}, {1,21}, {3,25}, {4,20}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {3,6}, {4,25}, {2,19}, {5,18}, {2,23}, {1,8}, {1,13}, {2,9}, {2,13}, {2,25}, {1,23}, {4,19}, {1,11}, {5,22}, {2,22}, {3,10} }; // ETB25.10 (= ET25.17) // Bipartite(10,15) Valencies [12,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29859840 EdgesBipt[25][10]:={ {7,19}, {6,12}, {10,21}, {3,15}, {8,24}, {10,22}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {9,12}, {9,19}, {9,21}, {7,23}, {7,15}, {5,13}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {10,18}, {6,22}, {5,21}, {10,23}, {3,19}, {4,12}, {3,18}, {8,15}, {2,14}, {5,23}, {3,11}, {4,20}, {6,11}, {2,23}, {1,17}, {3,13}, {10,25}, {10,12}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {3,14}, {2,13}, {10,15}, {1,12}, {10,16}, {7,25}, {5,15}, {7,20}, {7,13}, {3,23}, {7,14}, {1,19}, {8,11}, {4,21}, {4,17}, {9,25}, {4,15}, {4,25}, {9,15}, {8,19}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {7,18}, {2,12}, {4,22}, {5,20}, {8,16}, {5,17}, {3,24}, {9,24}, {8,20}, {8,23}, {6,16}, {3,21}, {1,14}, {10,17}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {8,25}, {3,25}, {3,20}, {5,12}, {2,25}, {9,14}, {10,20}, {6,24}, {5,18}, {9,16}, {7,17}, {7,12}, {5,16}, {1,21}, {10,11}, {1,18}, {5,25}, {4,19}, {4,24}, {9,20}, {1,24}, {9,22} }; // ETB25.11 (= ET25.19) // Bipartite(12,13) Valencies [13,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2982752926433280000 EdgesBipt[25][11]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {6,16}, {7,15}, {4,24}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {12,22}, {3,13}, {3,25}, {3,15}, {10,23}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {1,21}, {11,14}, {8,25}, {2,14}, {8,15}, {4,23}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {12,20}, {9,19}, {8,14}, {5,25}, {11,15}, {11,13}, {11,22}, {7,13}, {9,14}, {7,25}, {1,22}, {12,13}, {12,16}, {5,23}, {4,21}, {3,20}, {10,21}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {5,18}, {11,23}, {1,23}, {6,24}, {7,17}, {5,24}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {7,14}, {10,13}, {6,23}, {9,22}, {6,15}, {2,17}, {9,13}, {8,21}, {3,19}, {1,24}, {12,23}, {11,24}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {1,15}, {12,15}, {6,14}, {3,16}, {11,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {5,13}, {8,20}, {12,24}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB25.12 (= ET25.20) // Bipartite(11,14) Valencies [14,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3479878414172160000 EdgesBipt[25][12]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {6,16}, {7,15}, {4,24}, {8,12}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {3,13}, {3,25}, {3,15}, {10,23}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {1,21}, {11,14}, {8,25}, {11,12}, {2,14}, {8,15}, {4,23}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {10,21}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {7,14}, {10,13}, {10,12}, {6,23}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {11,24}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,14}, {3,16}, {7,23}, {11,16}, {2,21}, {9,18}, {10,17}, {3,24}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,12}, {4,20}, {5,13}, {8,20}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB25.13 (= ET25.21) // Bipartite(10,15) Valencies [15,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4745288746598400000 EdgesBipt[25][13]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {6,16}, {7,15}, {4,24}, {8,12}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {3,13}, {3,25}, {3,15}, {10,23}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {1,21}, {8,25}, {2,14}, {8,15}, {6,11}, {4,23}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {5,11}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {8,17}, {2,16}, {9,25}, {7,16}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {3,11}, {7,14}, {10,13}, {10,12}, {6,23}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,14}, {2,11}, {10,11}, {3,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {8,18}, {4,18}, {10,19}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {7,18}, {10,16}, {5,16} }; // ETB25.14 (= ET25.22) // Bipartite(5,20) Valencies [16,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 955514880 EdgesBipt[25][14]:={ {5,12}, {2,14}, {4,9}, {4,24}, {1,14}, {1,24}, {2,24}, {2,10}, {4,11}, {4,10}, {5,10}, {3,21}, {1,6}, {5,11}, {4,7}, {1,12}, {5,15}, {3,8}, {3,23}, {4,16}, {3,9}, {3,24}, {2,12}, {3,20}, {5,8}, {4,6}, {5,16}, {5,23}, {5,21}, {4,12}, {5,20}, {5,7}, {1,7}, {5,25}, {2,7}, {3,11}, {1,16}, {2,20}, {3,16}, {3,15}, {2,18}, {1,21}, {3,25}, {4,21}, {4,20}, {3,19}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {4,15}, {1,17}, {4,22}, {3,6}, {4,25}, {2,19}, {2,17}, {5,18}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {5,13}, {1,9}, {1,22}, {2,13}, {2,25}, {2,8}, {4,14}, {1,23}, {4,19}, {1,11}, {5,22}, {2,22}, {3,10} }; // ETB25.15 (= ET25.23) // Bipartite(9,16) Valencies [16,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7592461994557440000 EdgesBipt[25][15]:={ {1,15}, {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {9,12}, {5,24}, {6,25}, {9,19}, {9,21}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {9,10}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {7,25}, {3,22}, {5,19}, {9,23}, {5,15}, {7,20}, {3,23}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {9,25}, {4,15}, {4,25}, {9,15}, {8,19}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {8,16}, {9,24}, {3,12}, {8,20}, {8,23}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {8,25}, {3,20}, {7,21}, {5,12}, {2,25}, {9,14}, {3,17}, {6,24}, {5,18}, {9,16}, {7,17}, {4,23}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {5,25}, {4,19}, {4,10}, {4,24}, {8,12}, {9,20}, {1,24}, {9,22} }; // ETB25.16 (= ET25.25) // Bipartite(8,17) Valencies [17,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14341317100830720000 EdgesBipt[25][16]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {8,14}, {8,13}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {3,9}, {7,25}, {3,22}, {5,19}, {5,15}, {7,20}, {3,23}, {7,13}, {8,17}, {7,14}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {8,19}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {7,18}, {8,9}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {8,16}, {3,12}, {8,20}, {8,23}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {8,25}, {3,20}, {7,21}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {5,18}, {7,17}, {4,23}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {5,25}, {4,19}, {4,10}, {4,24}, {8,12}, {1,24} }; // ETB25.17 (= ET25.26) // Bipartite(7,18) Valencies [18,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32267963476869120000 EdgesBipt[25][17]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {6,9}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {7,10}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {7,25}, {3,22}, {5,19}, {5,15}, {6,8}, {7,20}, {3,23}, {7,13}, {7,14}, {6,15}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {2,24}, {4,11}, {5,22}, {7,8}, {6,19}, {1,23}, {2,21}, {5,8}, {7,18}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {2,8}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {3,8}, {3,20}, {7,21}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {5,18}, {7,17}, {4,23}, {1,8}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB25.18 (= ET25.27) // Bipartite(6,19) Valencies [19,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 87584472294359040000 EdgesBipt[25][18]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {3,7}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {6,7}, {5,7}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {6,9}, {5,9}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {3,23}, {6,15}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {3,8}, {3,20}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB25.19 (= ET25.28) // Bipartite(5,20) Valencies [20,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 291948240981196800000 EdgesBipt[25][19]:={ {1,15}, {5,14}, {3,15}, {4,14}, {1,11}, {2,22}, {4,8}, {3,7}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {1,9}, {5,7}, {4,6}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {5,9}, {5,21}, {3,19}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {3,23}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {2,24}, {4,11}, {5,22}, {1,23}, {2,21}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {3,8}, {3,20}, {5,12}, {2,25}, {3,6}, {3,17}, {4,9}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB25.20 (= ET25.30) // Bipartite(4,21) Valencies [21,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1226182612121026560000 EdgesBipt[25][20]:={ {2,11}, {3,22}, {2,14}, {4,8}, {4,13}, {4,9}, {4,24}, {4,23}, {1,14}, {1,24}, {3,12}, {2,24}, {2,10}, {1,10}, {4,11}, {4,10}, {3,21}, {1,6}, {3,5}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {3,23}, {4,16}, {3,9}, {3,24}, {2,12}, {3,20}, {2,21}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {1,5}, {4,15}, {1,17}, {4,22}, {3,6}, {4,25}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {4,14}, {1,23}, {4,19}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB25.21 (= ET25.31) // Bipartite(3,22) Valencies [22,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6744004366665646080000 EdgesBipt[25][21]:={ {2,11}, {3,22}, {2,14}, {1,14}, {1,24}, {3,12}, {2,24}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {3,9}, {3,24}, {2,12}, {2,4}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {1,5}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB25.22 (= ET25.32) // Bipartite(2,23) Valencies [23,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 51704033477769953280000 EdgesBipt[25][22]:={ {2,11}, {2,14}, {1,14}, {1,24}, {2,24}, {2,10}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,12}, {2,4}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {1,16}, {2,20}, {2,18}, {1,21}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,17}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB25.23 (= ET25.33) // Bipartite(1,24) Valencies [24,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 620448401733239439360000 EdgesBipt[25][23]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,2}, {1,3}, {1,17}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,6}, {1,14}, {1,18}, {1,21}, {1,19}, {1,20}, {1,8}, {1,24}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 25 is 23 // ******************************************************************************************** // Order 26 // ETB26.1 (= ET26.1) // Bipartite(13,13) Valencies [2,2] // Diameter 13 Girth 26 // Twin-free VT AT // Automorphism group of order 52 EdgesBipt[26][1]:={ {11,17}, {3,16}, {3,20}, {5,24}, {1,14}, {9,21}, {12,19}, {8,23}, {5,20}, {13,15}, {4,18}, {10,23}, {1,16}, {7,25}, {11,21}, {10,19}, {2,18}, {4,22}, {6,22}, {8,26}, {9,25}, {6,26}, {2,15}, {7,24}, {12,14}, {13,17} }; // ETB26.2 (= ET26.2) // Bipartite(13,13) Valencies [3,3] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 78 EdgesBipt[26][2]:={ {13,19}, {7,26}, {3,16}, {8,21}, {11,16}, {4,17}, {1,14}, {11,25}, {13,24}, {13,23}, {3,14}, {4,15}, {8,23}, {5,20}, {1,22}, {3,21}, {10,20}, {6,17}, {6,24}, {12,20}, {2,18}, {7,18}, {11,24}, {6,22}, {10,21}, {2,23}, {5,16}, {4,25}, {9,14}, {8,22}, {10,15}, {9,25}, {2,15}, {9,18}, {1,26}, {5,19}, {12,26}, {12,17}, {7,19} }; // ETB26.3 (= ET26.3) // Bipartite(13,13) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 104 EdgesBipt[26][3]:={ {1,20}, {3,16}, {11,18}, {6,15}, {5,14}, {4,17}, {1,14}, {9,19}, {10,16}, {7,16}, {2,24}, {9,15}, {3,23}, {2,19}, {8,24}, {7,20}, {12,23}, {12,22}, {9,22}, {7,21}, {6,23}, {5,20}, {4,21}, {13,15}, {5,22}, {4,18}, {10,23}, {1,16}, {8,18}, {12,24}, {8,14}, {7,25}, {11,21}, {6,17}, {6,24}, {10,26}, {2,18}, {3,22}, {11,20}, {8,26}, {9,25}, {2,15}, {4,26}, {13,21}, {13,25}, {11,19}, {3,25}, {10,17}, {1,26}, {5,19}, {12,14}, {13,17} }; // ETB26.4 (= ET26.4) // Bipartite(13,13) Valencies [4,4] // Diameter 3 Girth 6 // Twin-free VT AT // Automorphism group of order 11232 EdgesBipt[26][4]:={ {12,20}, {11,16}, {8,19}, {4,23}, {9,23}, {1,24}, {12,18}, {11,25}, {9,20}, {13,16}, {8,23}, {6,26}, {8,21}, {8,15}, {5,15}, {11,23}, {3,24}, {13,14}, {6,15}, {2,21}, {6,16}, {5,20}, {10,16}, {5,25}, {1,15}, {9,24}, {7,18}, {3,25}, {3,19}, {1,18}, {3,26}, {12,26}, {13,21}, {7,19}, {4,22}, {10,19}, {5,14}, {2,17}, {13,24}, {6,17}, {7,17}, {10,22}, {4,26}, {1,22}, {2,25}, {4,14}, {7,14}, {11,18}, {10,20}, {2,22}, {9,17}, {12,21} }; // ETB26.5 (= ET26.6) // Bipartite(13,13) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 156 EdgesBipt[26][5]:={ {1,26}, {4,24}, {10,15}, {11,16}, {9,19}, {1,14}, {9,23}, {11,15}, {8,20}, {2,26}, {12,18}, {9,25}, {9,20}, {11,25}, {7,23}, {9,21}, {11,24}, {12,16}, {8,21}, {3,21}, {13,25}, {1,20}, {5,15}, {8,24}, {3,23}, {3,24}, {11,21}, {13,18}, {2,21}, {5,16}, {6,16}, {5,23}, {4,18}, {3,16}, {2,20}, {1,16}, {10,23}, {10,26}, {7,18}, {6,20}, {3,17}, {5,19}, {2,18}, {4,20}, {5,17}, {10,14}, {2,15}, {3,14}, {12,14}, {12,19}, {7,25}, {8,22}, {10,24}, {12,26}, {13,22}, {4,15}, {13,21}, {1,17}, {7,19}, {6,18}, {13,15}, {6,22}, {8,26}, {12,22}, {9,14}, {6,25}, {2,23}, {7,17}, {10,22}, {4,14}, {4,19}, {11,19}, {5,22}, {1,25}, {8,17}, {13,17}, {6,24}, {7,26} }; // ETB26.6 (= ET26.7) // Bipartite(10,16) Valencies [8,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[26][6]:={ {4,13}, {9,19}, {1,14}, {7,11}, {9,23}, {8,20}, {1,24}, {3,12}, {5,24}, {2,24}, {7,23}, {9,16}, {8,23}, {6,26}, {8,21}, {8,25}, {5,11}, {1,20}, {1,12}, {5,15}, {8,24}, {9,11}, {10,12}, {2,12}, {6,15}, {2,21}, {5,16}, {6,16}, {5,21}, {5,20}, {2,16}, {3,11}, {9,24}, {3,16}, {10,23}, {3,15}, {10,26}, {7,18}, {3,17}, {9,12}, {4,21}, {4,20}, {3,19}, {7,15}, {10,14}, {3,14}, {6,21}, {4,17}, {8,22}, {4,15}, {7,20}, {7,19}, {6,18}, {4,25}, {6,19}, {9,22}, {10,19}, {6,22}, {8,26}, {9,18}, {10,17}, {2,17}, {5,18}, {3,13}, {6,17}, {1,13}, {8,18}, {5,13}, {10,22}, {4,26}, {2,13}, {2,25}, {4,14}, {10,25}, {1,23}, {7,14}, {1,11}, {1,25}, {2,22}, {7,26} }; // ETB26.7 (= ET26.9) // Bipartite(8,18) Valencies [9,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17915904 EdgesBipt[26][7]:={ {3,22}, {1,26}, {4,13}, {4,24}, {8,19}, {1,14}, {7,11}, {7,16}, {8,20}, {2,24}, {7,23}, {2,10}, {6,12}, {7,13}, {8,25}, {5,11}, {6,10}, {1,20}, {5,15}, {8,24}, {3,23}, {2,12}, {6,15}, {2,21}, {5,9}, {5,23}, {6,16}, {5,21}, {5,20}, {4,12}, {4,18}, {2,16}, {1,15}, {7,10}, {3,11}, {3,16}, {3,17}, {2,18}, {3,25}, {1,21}, {4,20}, {3,19}, {5,17}, {8,13}, {2,15}, {8,12}, {6,21}, {7,25}, {7,22}, {1,17}, {7,19}, {6,18}, {4,25}, {6,22}, {8,26}, {5,14}, {3,13}, {5,26}, {8,14}, {8,18}, {2,9}, {7,17}, {1,9}, {4,26}, {4,14}, {1,23}, {4,19}, {1,11}, {2,22}, {6,24}, {3,10}, {6,9} }; // ETB26.8 (= ET26.10) // Bipartite(8,18) Valencies [9,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2239488 EdgesBipt[26][8]:={ {5,12}, {3,22}, {2,14}, {4,9}, {8,20}, {2,26}, {5,24}, {7,12}, {8,16}, {4,10}, {3,21}, {6,12}, {7,13}, {6,10}, {5,11}, {8,24}, {3,23}, {4,16}, {3,9}, {2,21}, {6,16}, {5,23}, {8,10}, {5,25}, {1,15}, {3,11}, {3,16}, {2,20}, {3,15}, {7,18}, {3,17}, {5,19}, {1,21}, {4,21}, {4,20}, {5,17}, {2,15}, {8,12}, {7,25}, {8,22}, {4,15}, {7,20}, {1,17}, {7,19}, {6,18}, {4,22}, {6,22}, {2,19}, {8,26}, {5,18}, {6,17}, {1,13}, {8,14}, {8,18}, {5,13}, {2,9}, {1,19}, {6,11}, {1,9}, {4,26}, {2,13}, {2,25}, {4,14}, {1,23}, {7,14}, {1,11}, {1,25}, {6,23}, {7,24}, {6,24}, {3,10}, {7,26} }; // ETB26.9 (= ET26.11) // Bipartite(13,13) Valencies [9,9] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 11232 EdgesBipt[26][9]:={ {13,25}, {11,15}, {10,21}, {11,17}, {3,15}, {8,24}, {6,18}, {12,19}, {6,14}, {12,16}, {13,18}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {12,15}, {12,17}, {12,14}, {12,22}, {5,24}, {6,25}, {9,19}, {9,21}, {11,22}, {7,23}, {7,15}, {12,25}, {2,19}, {2,18}, {2,15}, {5,26}, {8,14}, {10,18}, {6,22}, {13,20}, {5,21}, {10,23}, {3,18}, {8,22}, {2,14}, {5,23}, {4,20}, {2,23}, {7,26}, {1,17}, {10,25}, {13,26}, {2,16}, {1,16}, {6,21}, {8,18}, {3,14}, {10,15}, {7,25}, {3,22}, {5,19}, {10,24}, {7,20}, {8,26}, {3,23}, {8,17}, {1,19}, {4,21}, {4,17}, {9,25}, {4,15}, {4,25}, {9,15}, {1,26}, {11,26}, {13,22}, {11,14}, {12,24}, {12,23}, {2,24}, {5,22}, {6,19}, {1,23}, {11,19}, {10,14}, {8,16}, {5,17}, {8,20}, {7,16}, {9,26}, {6,20}, {11,21}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {7,22}, {3,16}, {4,18}, {8,25}, {13,23}, {2,26}, {13,17}, {11,20}, {7,21}, {3,20}, {13,15}, {9,14}, {3,17}, {6,24}, {5,18}, {10,26}, {9,16}, {13,19}, {11,24}, {5,16}, {1,21}, {4,19}, {4,24}, {9,22} }; // ETB26.10 (= ET26.12) // Bipartite(6,20) Valencies [10,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[26][10]:={ {2,11}, {5,12}, {4,8}, {4,13}, {4,9}, {4,23}, {1,14}, {1,24}, {3,12}, {2,26}, {5,24}, {2,24}, {2,10}, {3,21}, {6,12}, {6,10}, {1,20}, {3,23}, {4,16}, {6,7}, {5,9}, {5,16}, {6,16}, {5,23}, {5,21}, {5,20}, {1,7}, {3,11}, {3,7}, {3,15}, {6,20}, {2,18}, {1,21}, {3,19}, {2,15}, {4,17}, {3,26}, {4,15}, {4,22}, {6,18}, {6,19}, {6,22}, {5,14}, {2,17}, {5,18}, {3,13}, {6,25}, {6,17}, {5,26}, {1,8}, {1,13}, {2,9}, {1,22}, {2,25}, {2,8}, {4,14}, {4,19}, {1,11}, {1,25}, {3,10} }; // ETB26.11 (= ET26.13) // Bipartite(6,20) Valencies [10,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4976640000 EdgesBipt[26][11]:={ {4,8}, {4,24}, {1,24}, {2,24}, {6,14}, {6,26}, {4,10}, {5,10}, {3,21}, {6,10}, {1,20}, {1,12}, {3,23}, {4,16}, {3,9}, {2,12}, {6,7}, {6,15}, {2,21}, {5,9}, {5,21}, {4,12}, {4,18}, {2,16}, {1,7}, {5,25}, {1,15}, {3,11}, {1,16}, {3,7}, {2,20}, {3,15}, {3,17}, {3,25}, {4,20}, {3,19}, {5,17}, {4,22}, {6,18}, {6,19}, {6,22}, {5,14}, {2,17}, {5,18}, {3,13}, {5,26}, {1,8}, {5,13}, {2,9}, {1,19}, {6,11}, {4,26}, {2,13}, {2,25}, {2,8}, {4,14}, {1,23}, {1,11}, {5,22}, {6,23} }; // ETB26.12 (= ET26.14) // Bipartite(6,20) Valencies [10,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 61440 EdgesBipt[26][12]:={ {2,11}, {3,22}, {5,12}, {1,26}, {4,8}, {2,14}, {3,12}, {2,24}, {2,10}, {1,10}, {6,14}, {6,26}, {4,11}, {5,10}, {4,7}, {1,20}, {5,15}, {3,23}, {3,24}, {3,9}, {6,15}, {2,21}, {5,16}, {5,23}, {6,16}, {4,12}, {5,20}, {4,18}, {1,7}, {5,25}, {1,16}, {3,7}, {2,20}, {3,17}, {2,18}, {1,21}, {4,21}, {3,19}, {3,14}, {4,17}, {4,15}, {1,17}, {4,22}, {6,18}, {4,25}, {6,19}, {3,13}, {6,25}, {2,23}, {5,26}, {5,13}, {1,19}, {1,9}, {2,13}, {2,8}, {1,11}, {5,22}, {6,8}, {6,24}, {6,9} }; // ETB26.13 (= ET26.15) // Bipartite(13,13) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 12454041600 EdgesBipt[26][13]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {11,20}, {6,16}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {2,19}, {1,19}, {2,26}, {1,21}, {11,14}, {8,25}, {2,14}, {8,15}, {4,23}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {12,20}, {9,19}, {8,14}, {5,25}, {11,15}, {11,22}, {9,14}, {7,25}, {1,22}, {12,16}, {5,23}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {8,17}, {11,21}, {7,16}, {7,26}, {5,18}, {11,23}, {1,23}, {6,24}, {7,17}, {5,24}, {13,23}, {12,25}, {8,22}, {13,25}, {5,14}, {9,20}, {4,15}, {7,14}, {6,23}, {3,26}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {3,19}, {1,24}, {11,24}, {13,24}, {12,19}, {6,26}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {13,15}, {12,15}, {6,14}, {3,16}, {13,26}, {11,16}, {7,23}, {13,19}, {2,21}, {9,18}, {10,17}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,26}, {8,18}, {11,19}, {10,19}, {4,25}, {4,20}, {12,24}, {8,20}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB26.14 (= ET26.17) // Bipartite(13,13) Valencies [13,13] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 77551576087265280000 EdgesBipt[26][14]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {6,16}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,14}, {8,15}, {4,23}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {12,20}, {9,19}, {8,14}, {5,25}, {11,15}, {11,22}, {9,14}, {7,25}, {1,22}, {12,16}, {5,23}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {11,23}, {1,23}, {6,24}, {7,17}, {5,24}, {13,23}, {12,25}, {8,22}, {13,25}, {5,14}, {9,20}, {4,15}, {7,14}, {6,23}, {3,26}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {8,21}, {3,19}, {1,24}, {12,23}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {13,15}, {1,15}, {12,15}, {6,14}, {3,16}, {11,26}, {13,26}, {11,16}, {7,23}, {13,19}, {2,21}, {9,18}, {10,17}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {13,14}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {8,20}, {12,24}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB26.15 (= ET26.18) // Bipartite(12,14) Valencies [14,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 41758540970065920000 EdgesBipt[26][15]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {6,16}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {12,22}, {3,13}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,14}, {8,15}, {4,23}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {12,20}, {9,19}, {8,14}, {5,25}, {11,15}, {11,13}, {11,22}, {7,13}, {9,14}, {7,25}, {1,22}, {12,13}, {12,16}, {5,23}, {4,21}, {3,20}, {10,21}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {7,14}, {10,13}, {6,23}, {3,26}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {9,13}, {8,21}, {3,19}, {1,24}, {12,23}, {11,24}, {6,26}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {1,15}, {12,15}, {6,14}, {3,16}, {11,26}, {11,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {5,13}, {8,20}, {12,24}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB26.16 (= ET26.19) // Bipartite(11,15) Valencies [15,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 52198176212582400000 EdgesBipt[26][16]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {6,16}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {3,13}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,14}, {8,15}, {4,23}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {9,26}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {7,14}, {10,13}, {10,12}, {6,23}, {3,26}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {11,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,14}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {9,18}, {10,17}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,12}, {4,20}, {5,13}, {8,20}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB26.17 (= ET26.20) // Bipartite(10,16) Valencies [16,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75924619945574400000 EdgesBipt[26][17]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {6,16}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {3,13}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {2,26}, {1,21}, {8,25}, {2,14}, {8,15}, {6,11}, {4,23}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {5,11}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {3,11}, {7,14}, {10,13}, {10,12}, {6,23}, {3,26}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,14}, {2,11}, {10,11}, {3,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {7,18}, {10,16}, {5,16} }; // ETB26.18 (= ET26.21) // Bipartite(9,17) Valencies [17,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 129071853907476480000 EdgesBipt[26][18]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {3,13}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,14}, {8,15}, {6,11}, {4,23}, {9,11}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {5,11}, {2,10}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {3,11}, {7,14}, {6,23}, {3,10}, {3,26}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,14}, {2,11}, {3,16}, {7,23}, {2,21}, {9,18}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {6,10}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,10}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {7,18}, {5,16} }; // ETB26.19 (= ET26.22) // Bipartite(8,18) Valencies [18,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 258143707814952960000 EdgesBipt[26][19]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {3,13}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {2,26}, {1,21}, {2,9}, {8,10}, {8,25}, {2,14}, {8,15}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {5,11}, {2,10}, {8,14}, {5,25}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {3,11}, {7,14}, {6,23}, {3,10}, {3,26}, {8,26}, {6,15}, {2,17}, {5,12}, {8,21}, {3,19}, {4,9}, {1,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {1,15}, {6,14}, {2,11}, {3,16}, {7,23}, {2,21}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,10}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,10}, {7,24}, {2,12}, {1,14}, {5,15}, {5,19}, {6,20}, {5,21}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {7,18}, {5,16} }; // ETB26.20 (= ET26.23) // Bipartite(7,19) Valencies [19,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 613091306060513280000 EdgesBipt[26][20]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {7,10}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {7,26}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {7,25}, {3,22}, {5,19}, {5,15}, {6,8}, {7,20}, {3,23}, {7,13}, {7,14}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {7,8}, {6,19}, {1,23}, {2,21}, {5,8}, {7,18}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {2,8}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {7,21}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {5,18}, {7,17}, {4,23}, {1,8}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB26.21 (= ET26.24) // Bipartite(6,20) Valencies [20,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1751689445887180800000 EdgesBipt[26][21]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {3,7}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {6,7}, {5,7}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {3,23}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {2,21}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB26.22 (= ET26.25) // Bipartite(5,21) Valencies [21,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6130913060605132800000 EdgesBipt[26][22]:={ {1,15}, {5,14}, {3,15}, {4,14}, {1,11}, {2,22}, {4,8}, {3,7}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {1,9}, {5,7}, {4,6}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {3,19}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {3,23}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {1,23}, {2,21}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {5,17}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {5,12}, {2,25}, {3,6}, {3,17}, {4,9}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB26.23 (= ET26.26) // Bipartite(4,22) Valencies [22,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26976017466662584320000 EdgesBipt[26][23]:={ {2,11}, {3,22}, {1,26}, {2,14}, {4,8}, {4,13}, {4,9}, {4,24}, {4,23}, {1,14}, {1,24}, {2,26}, {3,12}, {2,24}, {2,10}, {1,10}, {4,11}, {4,10}, {3,21}, {1,6}, {3,5}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {3,23}, {4,16}, {3,9}, {3,24}, {2,12}, {3,20}, {2,21}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {3,26}, {1,5}, {4,15}, {1,17}, {4,22}, {3,6}, {4,25}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {4,26}, {1,22}, {2,13}, {2,8}, {2,25}, {4,14}, {1,23}, {4,19}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB26.24 (= ET26.27) // Bipartite(3,23) Valencies [23,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 155112100433309859840000 EdgesBipt[26][24]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {3,12}, {2,24}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {3,9}, {3,24}, {2,12}, {2,4}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {3,26}, {1,5}, {1,17}, {3,6}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB26.25 (= ET26.28) // Bipartite(2,24) Valencies [24,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1240896803466478878720000 EdgesBipt[26][25]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {2,24}, {2,10}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,12}, {2,4}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {1,16}, {2,20}, {2,18}, {1,21}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,17}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB26.26 (= ET26.30) // Bipartite(1,25) Valencies [25,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 15511210043330985984000000 EdgesBipt[26][26]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,2}, {1,3}, {1,17}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,6}, {1,14}, {1,26}, {1,18}, {1,21}, {1,19}, {1,20}, {1,8}, {1,24}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 26 is 26 // ******************************************************************************************** // Order 27 // ETB27.1 (= ET27.2) // Bipartite(9,18) Valencies [4,2] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 72 EdgesBipt[27][1]:={ {3,24}, {8,21}, {5,14}, {1,14}, {9,19}, {4,23}, {2,11}, {7,27}, {9,15}, {7,20}, {8,24}, {3,18}, {9,23}, {5,20}, {4,21}, {1,22}, {7,15}, {1,16}, {1,10}, {6,16}, {8,10}, {3,27}, {2,13}, {5,25}, {2,18}, {6,11}, {3,22}, {5,17}, {8,19}, {6,26}, {6,25}, {4,26}, {7,12}, {4,13}, {2,12}, {9,17} }; // ETB27.2 (= ET27.3) // Bipartite(9,18) Valencies [4,2] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9216 EdgesBipt[27][2]:={ {2,27}, {7,14}, {6,15}, {3,10}, {7,23}, {5,13}, {3,19}, {2,11}, {9,15}, {7,21}, {9,22}, {8,23}, {5,20}, {4,16}, {8,16}, {3,21}, {5,22}, {4,18}, {9,13}, {1,10}, {8,14}, {1,17}, {4,27}, {6,17}, {6,24}, {2,20}, {2,18}, {5,11}, {1,19}, {4,25}, {8,25}, {6,26}, {3,12}, {7,12}, {1,26}, {9,24} }; // ETB27.3 (= ET27.7) // Bipartite(12,15) Valencies [5,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[27][3]:={ {12,27}, {11,16}, {10,15}, {8,19}, {1,14}, {11,15}, {9,23}, {9,25}, {11,25}, {7,23}, {5,27}, {8,21}, {11,20}, {3,27}, {7,13}, {8,24}, {3,24}, {6,16}, {5,21}, {5,20}, {4,18}, {10,16}, {10,23}, {1,16}, {6,20}, {2,18}, {4,20}, {3,19}, {5,17}, {7,15}, {12,23}, {6,27}, {2,15}, {3,18}, {3,26}, {7,21}, {12,26}, {4,22}, {12,25}, {2,19}, {10,17}, {9,18}, {9,14}, {1,13}, {8,14}, {1,19}, {10,22}, {11,26}, {4,26}, {1,22}, {2,13}, {2,25}, {4,14}, {5,22}, {8,17}, {6,13}, {9,17}, {7,24}, {6,24}, {12,21} }; // ETB27.4 (= ET27.8) // Bipartite(12,15) Valencies [5,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46080 EdgesBipt[27][4]:={ {2,14}, {12,27}, {10,15}, {9,19}, {2,26}, {12,18}, {11,25}, {2,24}, {7,23}, {9,21}, {9,16}, {5,27}, {3,21}, {8,15}, {7,13}, {11,27}, {1,20}, {8,24}, {11,23}, {4,16}, {11,21}, {5,23}, {5,21}, {4,18}, {10,16}, {5,25}, {3,16}, {3,17}, {4,20}, {3,19}, {8,13}, {6,27}, {2,15}, {3,14}, {12,24}, {7,22}, {4,15}, {7,20}, {7,19}, {6,18}, {4,25}, {6,22}, {8,26}, {12,22}, {9,14}, {6,17}, {5,26}, {1,13}, {8,14}, {1,19}, {11,26}, {1,22}, {2,13}, {10,25}, {1,23}, {10,20}, {12,17}, {9,17}, {10,18}, {6,24} }; // ETB27.5 (= ET27.9) // Bipartite(9,18) Valencies [6,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 108 EdgesBipt[27][5]:={ {2,11}, {1,26}, {2,14}, {4,23}, {9,19}, {7,11}, {9,23}, {8,20}, {5,24}, {9,20}, {2,24}, {7,12}, {1,10}, {8,21}, {4,10}, {8,15}, {3,27}, {6,10}, {5,11}, {9,15}, {2,21}, {6,16}, {5,20}, {4,12}, {7,27}, {2,16}, {3,16}, {3,15}, {7,18}, {5,19}, {3,25}, {9,12}, {4,21}, {9,27}, {5,17}, {8,13}, {3,14}, {3,18}, {1,18}, {7,22}, {1,17}, {4,22}, {6,19}, {8,26}, {6,25}, {1,13}, {8,14}, {5,13}, {7,17}, {4,26}, {1,25}, {6,23}, {2,22}, {6,24} }; // ETB27.6 (= ET27.10) // Bipartite(9,18) Valencies [6,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3359232 EdgesBipt[27][6]:={ {3,22}, {4,13}, {4,24}, {9,23}, {9,20}, {2,10}, {8,23}, {8,11}, {1,10}, {6,12}, {8,24}, {3,23}, {9,11}, {6,15}, {2,21}, {5,20}, {4,12}, {7,27}, {4,18}, {2,16}, {5,25}, {3,11}, {3,16}, {1,16}, {3,17}, {5,19}, {7,15}, {6,27}, {2,15}, {8,12}, {6,21}, {7,21}, {7,20}, {2,27}, {6,18}, {4,25}, {5,14}, {9,14}, {5,26}, {1,13}, {8,18}, {5,13}, {1,19}, {9,26}, {1,22}, {7,14}, {4,19}, {1,25}, {8,17}, {2,22}, {9,17}, {6,24}, {3,10}, {7,26} }; // ETB27.7 (= ET27.11) // Bipartite(9,18) Valencies [6,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 55296 EdgesBipt[27][7]:={ {2,11}, {5,12}, {2,14}, {4,24}, {9,23}, {8,20}, {2,26}, {9,25}, {9,16}, {7,12}, {8,11}, {6,26}, {1,10}, {8,15}, {5,11}, {8,24}, {3,23}, {3,24}, {5,16}, {5,21}, {5,20}, {4,12}, {4,18}, {5,25}, {7,10}, {1,16}, {2,20}, {3,15}, {4,27}, {4,21}, {9,27}, {3,19}, {8,13}, {6,27}, {3,14}, {7,21}, {8,22}, {4,15}, {7,19}, {6,18}, {6,22}, {9,18}, {2,17}, {9,14}, {6,17}, {2,23}, {1,13}, {7,17}, {1,19}, {1,22}, {1,25}, {6,13}, {3,10}, {7,26} }; // ETB27.8 (= ET27.17) // Bipartite(9,18) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[27][8]:={ {2,11}, {5,12}, {4,13}, {4,24}, {8,19}, {4,23}, {1,14}, {7,11}, {8,20}, {1,24}, {2,26}, {5,24}, {2,24}, {2,10}, {9,16}, {5,27}, {8,23}, {1,10}, {4,11}, {8,21}, {3,21}, {6,12}, {7,13}, {6,10}, {1,20}, {5,15}, {9,11}, {4,16}, {2,21}, {4,12}, {7,27}, {1,15}, {3,16}, {2,20}, {1,16}, {3,15}, {7,18}, {3,17}, {5,19}, {3,25}, {9,12}, {4,21}, {3,19}, {7,15}, {8,13}, {6,27}, {7,25}, {1,18}, {3,26}, {8,22}, {7,20}, {2,27}, {6,18}, {4,25}, {6,19}, {9,22}, {6,22}, {9,18}, {5,14}, {9,14}, {6,25}, {5,26}, {8,14}, {5,13}, {7,17}, {9,26}, {1,23}, {8,17}, {2,22}, {6,23}, {9,17}, {3,10} }; // ETB27.9 (= ET27.18) // Bipartite(9,18) Valencies [8,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36864 EdgesBipt[27][9]:={ {2,11}, {3,22}, {5,12}, {1,26}, {4,24}, {2,26}, {9,25}, {2,24}, {9,21}, {9,16}, {7,12}, {5,27}, {8,23}, {1,10}, {6,14}, {6,26}, {4,10}, {8,21}, {8,15}, {7,13}, {5,11}, {9,15}, {1,20}, {8,24}, {3,23}, {4,16}, {3,20}, {6,16}, {5,23}, {5,21}, {5,20}, {7,27}, {4,18}, {7,10}, {3,11}, {9,24}, {1,16}, {2,20}, {7,18}, {4,27}, {2,18}, {9,12}, {3,19}, {2,15}, {3,14}, {8,12}, {7,22}, {7,21}, {4,15}, {9,13}, {2,27}, {1,17}, {7,19}, {4,25}, {9,22}, {6,22}, {8,26}, {5,14}, {2,17}, {5,18}, {3,13}, {6,25}, {6,17}, {8,14}, {1,19}, {4,19}, {1,11}, {1,25}, {8,17}, {6,23}, {6,13}, {3,10} }; // ETB27.10 (= ET27.22) // Bipartite(12,15) Valencies [10,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 143327232000 EdgesBipt[27][10]:={ {9,13}, {10,19}, {7,19}, {11,15}, {5,14}, {3,15}, {11,17}, {8,24}, {10,22}, {6,18}, {11,23}, {4,14}, {12,19}, {12,16}, {2,20}, {1,25}, {4,16}, {6,13}, {12,15}, {12,22}, {5,24}, {6,25}, {9,19}, {9,21}, {12,18}, {12,27}, {7,23}, {12,25}, {2,18}, {2,15}, {5,26}, {4,26}, {8,14}, {6,22}, {5,21}, {10,23}, {3,19}, {3,18}, {8,15}, {12,21}, {2,14}, {5,23}, {4,20}, {9,27}, {2,23}, {7,26}, {1,17}, {3,13}, {10,25}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {10,16}, {7,25}, {3,22}, {5,15}, {7,20}, {8,26}, {7,13}, {8,17}, {7,14}, {3,27}, {6,15}, {1,19}, {11,18}, {4,17}, {9,25}, {4,25}, {9,15}, {1,26}, {11,26}, {11,14}, {12,24}, {2,24}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {8,27}, {5,20}, {4,22}, {10,14}, {3,24}, {5,17}, {9,24}, {8,20}, {8,23}, {7,16}, {6,16}, {11,21}, {3,21}, {1,14}, {9,18}, {10,17}, {11,27}, {1,20}, {7,22}, {3,16}, {1,13}, {3,25}, {2,26}, {11,20}, {10,20}, {6,24}, {5,18}, {10,26}, {6,27}, {9,16}, {7,17}, {4,23}, {11,24}, {4,13}, {4,19}, {12,13}, {9,22} }; // ETB27.11 (= ET27.23) // Bipartite(12,15) Valencies [10,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46080 EdgesBipt[27][11]:={ {9,13}, {10,19}, {7,19}, {11,15}, {10,21}, {3,15}, {11,17}, {8,24}, {12,26}, {10,22}, {6,18}, {11,23}, {4,14}, {2,22}, {6,14}, {12,16}, {7,24}, {6,23}, {2,20}, {1,25}, {6,13}, {12,14}, {12,22}, {5,24}, {7,27}, {9,19}, {12,18}, {12,27}, {2,19}, {2,15}, {5,26}, {4,26}, {8,14}, {9,17}, {10,18}, {6,22}, {5,21}, {3,19}, {3,18}, {8,22}, {8,15}, {12,21}, {2,14}, {5,23}, {4,20}, {9,27}, {2,23}, {1,17}, {3,13}, {10,25}, {2,16}, {1,16}, {6,21}, {10,13}, {2,17}, {10,15}, {7,25}, {3,22}, {9,23}, {5,15}, {7,20}, {8,26}, {7,13}, {8,17}, {3,23}, {7,14}, {3,27}, {6,26}, {1,19}, {11,18}, {4,21}, {9,25}, {4,15}, {4,25}, {9,15}, {8,19}, {11,26}, {12,24}, {12,23}, {2,24}, {5,27}, {5,20}, {4,22}, {10,14}, {8,16}, {5,17}, {11,25}, {8,20}, {8,23}, {7,16}, {6,16}, {11,21}, {1,14}, {9,18}, {11,27}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {7,21}, {11,20}, {3,17}, {10,20}, {6,24}, {5,18}, {10,26}, {6,27}, {9,16}, {7,17}, {11,24}, {4,13}, {1,21}, {5,25}, {4,19}, {12,13}, {1,24}, {9,22} }; // ETB27.12 (= ET27.25) // Bipartite(9,18) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 483729408000 EdgesBipt[27][12]:={ {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {2,11}, {2,20}, {1,25}, {4,16}, {6,13}, {9,12}, {5,24}, {6,25}, {9,19}, {9,21}, {7,23}, {3,10}, {9,10}, {2,18}, {2,15}, {5,26}, {4,26}, {8,14}, {7,11}, {6,22}, {5,21}, {3,19}, {3,18}, {8,15}, {7,10}, {2,14}, {5,23}, {4,20}, {9,27}, {2,23}, {1,10}, {7,26}, {1,17}, {3,13}, {1,22}, {1,16}, {6,21}, {2,17}, {8,18}, {8,21}, {7,25}, {3,22}, {5,15}, {7,20}, {8,26}, {7,13}, {8,17}, {7,14}, {3,27}, {6,15}, {1,19}, {8,11}, {4,17}, {9,25}, {4,25}, {9,15}, {1,26}, {2,24}, {4,11}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {8,27}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {9,24}, {3,12}, {8,20}, {8,23}, {7,16}, {6,16}, {3,21}, {1,14}, {9,18}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {3,25}, {2,26}, {5,12}, {6,24}, {5,18}, {6,27}, {9,16}, {7,17}, {4,23}, {4,13}, {4,19}, {4,10}, {8,12}, {9,22} }; // ETB27.13 (= ET27.26) // Bipartite(9,18) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3359232 EdgesBipt[27][13]:={ {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {1,11}, {2,22}, {7,24}, {2,20}, {1,25}, {4,16}, {6,13}, {9,12}, {5,24}, {6,25}, {7,27}, {9,21}, {7,15}, {5,13}, {3,10}, {2,19}, {2,15}, {5,26}, {9,17}, {6,22}, {4,12}, {8,22}, {8,15}, {2,14}, {5,23}, {3,11}, {2,10}, {9,27}, {1,10}, {7,26}, {1,17}, {2,16}, {1,22}, {1,16}, {6,21}, {8,21}, {8,18}, {8,10}, {3,14}, {2,13}, {7,25}, {3,22}, {5,19}, {9,23}, {7,20}, {7,13}, {8,17}, {3,23}, {7,14}, {3,27}, {6,15}, {1,19}, {8,11}, {4,17}, {4,25}, {9,15}, {1,26}, {4,11}, {2,27}, {6,19}, {1,23}, {2,21}, {8,27}, {7,18}, {5,20}, {4,22}, {3,26}, {8,16}, {5,17}, {9,24}, {8,23}, {6,16}, {9,26}, {3,21}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {3,16}, {1,13}, {4,18}, {2,26}, {3,20}, {7,21}, {5,12}, {2,25}, {9,14}, {3,17}, {6,24}, {5,18}, {6,27}, {4,23}, {7,12}, {4,13}, {5,25}, {4,19}, {4,10}, {4,24}, {8,12}, {9,20} }; // ETB27.14 (= ET27.27) // Bipartite(9,18) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 55296 EdgesBipt[27][14]:={ {1,15}, {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {1,11}, {2,22}, {6,14}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {9,12}, {5,24}, {6,25}, {9,19}, {9,21}, {7,23}, {5,13}, {3,10}, {9,10}, {2,18}, {8,14}, {4,26}, {7,11}, {3,19}, {4,12}, {3,18}, {8,15}, {7,10}, {5,23}, {4,20}, {9,27}, {1,10}, {7,26}, {3,13}, {2,16}, {1,16}, {6,21}, {2,17}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {7,25}, {3,22}, {5,15}, {7,20}, {8,26}, {7,13}, {3,23}, {8,17}, {7,14}, {3,27}, {6,26}, {1,19}, {8,11}, {4,21}, {4,17}, {9,25}, {4,15}, {9,15}, {4,11}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {8,27}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {9,24}, {8,20}, {8,23}, {7,16}, {6,16}, {1,14}, {9,18}, {1,20}, {5,11}, {7,22}, {2,26}, {2,25}, {3,17}, {5,18}, {6,27}, {9,16}, {7,17}, {5,16}, {4,13}, {1,21}, {5,25}, {4,19}, {4,10}, {4,24}, {8,12}, {1,24}, {9,22} }; // ETB27.15 (= ET27.31) // Bipartite(6,21) Valencies [14,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6145155072000 EdgesBipt[27][15]:={ {2,11}, {3,22}, {5,12}, {1,26}, {4,8}, {2,14}, {4,13}, {4,23}, {1,14}, {2,26}, {3,12}, {5,24}, {2,24}, {5,27}, {1,10}, {4,11}, {4,10}, {3,21}, {3,27}, {6,12}, {5,11}, {6,10}, {4,7}, {1,20}, {5,15}, {4,16}, {3,24}, {3,9}, {2,12}, {6,7}, {6,15}, {5,8}, {2,21}, {5,9}, {5,23}, {6,16}, {5,21}, {5,20}, {1,7}, {3,16}, {3,7}, {2,20}, {1,16}, {3,15}, {2,18}, {3,25}, {4,20}, {3,19}, {5,17}, {6,27}, {2,15}, {3,18}, {6,21}, {4,17}, {2,27}, {1,17}, {4,22}, {6,18}, {4,25}, {6,19}, {6,22}, {5,14}, {2,17}, {5,18}, {3,13}, {6,25}, {2,23}, {5,26}, {1,8}, {1,13}, {1,19}, {2,9}, {4,26}, {1,22}, {4,14}, {2,8}, {1,23}, {4,19}, {1,11}, {1,25}, {6,13}, {6,24}, {3,10}, {6,9} }; // ETB27.16 (= ET27.32) // Bipartite(13,14) Valencies [14,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 542861032610856960000 EdgesBipt[27][16]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {6,16}, {4,27}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,14}, {8,15}, {4,23}, {8,27}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {9,19}, {8,14}, {5,25}, {11,15}, {11,22}, {9,14}, {7,25}, {1,22}, {12,16}, {5,23}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {11,23}, {1,23}, {6,24}, {7,17}, {5,24}, {13,23}, {12,25}, {8,22}, {13,25}, {5,14}, {9,20}, {4,15}, {7,14}, {3,27}, {6,23}, {3,26}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {13,15}, {1,15}, {12,15}, {6,14}, {13,27}, {3,16}, {11,26}, {13,26}, {11,16}, {7,23}, {13,19}, {2,21}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {13,14}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB27.17 (= ET27.33) // Bipartite(12,15) Valencies [15,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 626378114550988800000 EdgesBipt[27][17]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {6,16}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {12,22}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,14}, {8,15}, {4,23}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {11,22}, {7,13}, {9,14}, {7,25}, {1,22}, {12,13}, {12,16}, {5,23}, {4,21}, {3,20}, {10,21}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {7,14}, {3,27}, {10,13}, {6,23}, {3,26}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {9,13}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {6,26}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {1,15}, {12,15}, {6,14}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {5,13}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB27.18 (= ET27.34) // Bipartite(3,24) Valencies [16,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 393289924608000 EdgesBipt[27][18]:={ {1,4}, {2,27}, {1,20}, {3,24}, {3,16}, {3,10}, {1,14}, {1,23}, {3,19}, {2,17}, {2,24}, {1,7}, {2,11}, {1,5}, {2,26}, {3,6}, {3,18}, {3,15}, {2,21}, {3,4}, {1,22}, {3,21}, {1,16}, {1,10}, {3,27}, {1,17}, {1,13}, {2,20}, {2,18}, {3,22}, {3,9}, {1,11}, {2,23}, {1,19}, {1,25}, {2,6}, {2,8}, {3,12}, {2,15}, {3,13}, {2,5}, {2,12}, {3,25}, {1,26}, {2,9}, {3,7}, {2,14}, {1,8} }; // ETB27.19 (= ET27.35) // Bipartite(9,18) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 185794560 EdgesBipt[27][19]:={ {1,15}, {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,27}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {9,12}, {5,24}, {6,25}, {7,27}, {9,19}, {9,21}, {7,23}, {3,10}, {9,10}, {2,18}, {2,15}, {5,26}, {4,26}, {8,13}, {9,17}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {7,10}, {2,14}, {5,23}, {3,11}, {6,11}, {9,27}, {2,23}, {1,10}, {7,26}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {8,21}, {3,14}, {2,13}, {1,12}, {7,25}, {3,22}, {5,19}, {9,23}, {5,15}, {7,20}, {8,26}, {3,23}, {7,13}, {8,17}, {7,14}, {3,27}, {6,15}, {1,19}, {8,11}, {4,21}, {4,17}, {4,15}, {4,25}, {9,15}, {1,26}, {8,19}, {2,24}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {8,27}, {7,18}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {5,17}, {8,16}, {9,24}, {8,20}, {6,16}, {6,20}, {7,16}, {9,26}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {8,25}, {2,26}, {3,20}, {7,21}, {5,12}, {2,25}, {9,14}, {3,17}, {6,24}, {5,18}, {6,27}, {7,17}, {4,23}, {5,16}, {7,12}, {4,13}, {1,21}, {5,25}, {4,19}, {4,10}, {4,24}, {8,12}, {9,20}, {1,24}, {9,22} }; // ETB27.20 (= ET27.36) // Bipartite(11,16) Valencies [16,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 835170819401318400000 EdgesBipt[27][20]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,14}, {8,15}, {4,23}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {9,26}, {9,27}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {7,14}, {3,27}, {10,13}, {10,12}, {6,23}, {3,26}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,14}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {8,20}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB27.21 (= ET27.39) // Bipartite(10,17) Valencies [17,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1290718539074764800000 EdgesBipt[27][21]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,14}, {8,15}, {6,11}, {4,23}, {8,27}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {3,11}, {7,14}, {3,27}, {10,13}, {10,12}, {6,23}, {3,26}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,14}, {2,11}, {10,11}, {3,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {7,18}, {10,16}, {5,16} }; // ETB27.22 (= ET27.40) // Bipartite(9,18) Valencies [18,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2323293370334576640000 EdgesBipt[27][22]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,14}, {8,15}, {6,11}, {4,23}, {8,27}, {9,11}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {2,10}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {3,11}, {7,14}, {3,27}, {6,23}, {3,10}, {3,26}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,14}, {2,11}, {3,16}, {7,23}, {2,21}, {9,18}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,27}, {7,10}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {7,18}, {5,16} }; // ETB27.23 (= ET27.42) // Bipartite(8,19) Valencies [19,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4904730448484106240000 EdgesBipt[27][23]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {8,10}, {8,25}, {2,14}, {8,15}, {6,11}, {4,23}, {8,27}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {5,11}, {2,10}, {8,14}, {5,25}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {3,11}, {7,14}, {3,27}, {6,23}, {3,10}, {3,26}, {8,26}, {6,15}, {2,17}, {5,12}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {1,15}, {6,14}, {2,11}, {3,16}, {7,23}, {2,21}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,27}, {7,10}, {7,24}, {2,12}, {1,14}, {5,15}, {5,19}, {6,20}, {5,21}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {7,18}, {5,16} }; // ETB27.24 (= ET27.43) // Bipartite(7,20) Valencies [20,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12261826121210265600000 EdgesBipt[27][24]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {4,27}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {7,27}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {7,10}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {7,26}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {7,25}, {3,22}, {5,19}, {5,15}, {6,8}, {7,20}, {3,23}, {7,13}, {7,14}, {3,27}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {7,8}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {5,8}, {7,18}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {2,8}, {1,20}, {1,27}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {7,21}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {5,18}, {6,27}, {7,17}, {4,23}, {1,8}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB27.25 (= ET27.44) // Bipartite(6,21) Valencies [21,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36785478363630796800000 EdgesBipt[27][25]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {4,27}, {3,7}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {6,7}, {5,7}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {3,23}, {3,27}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {2,25}, {5,12}, {3,17}, {4,9}, {6,24}, {2,7}, {5,18}, {6,27}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB27.26 (= ET27.45) // Bipartite(5,22) Valencies [22,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 134880087333312921600000 EdgesBipt[27][26]:={ {1,15}, {5,14}, {3,15}, {4,14}, {1,11}, {2,22}, {4,8}, {4,27}, {3,7}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {1,9}, {5,7}, {4,6}, {5,13}, {3,10}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {3,19}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {3,23}, {3,27}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {5,17}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {5,12}, {3,17}, {4,9}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB27.27 (= ET27.46) // Bipartite(4,23) Valencies [23,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 620448401733239439360000 EdgesBipt[27][27]:={ {2,11}, {3,22}, {1,26}, {2,14}, {4,8}, {4,13}, {4,9}, {4,24}, {4,23}, {1,14}, {1,24}, {2,26}, {3,12}, {2,24}, {2,10}, {1,10}, {4,11}, {4,10}, {3,21}, {1,6}, {3,5}, {3,27}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {3,23}, {4,16}, {3,9}, {3,24}, {2,12}, {3,20}, {2,21}, {4,6}, {4,12}, {2,16}, {4,18}, {1,7}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {4,27}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {3,26}, {1,5}, {4,15}, {1,27}, {1,17}, {2,27}, {4,22}, {3,6}, {4,25}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {4,26}, {1,22}, {2,13}, {2,8}, {2,25}, {4,14}, {1,23}, {4,19}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB27.28 (= ET27.47) // Bipartite(3,24) Valencies [24,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3722690410399436636160000 EdgesBipt[27][28]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {3,12}, {2,24}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {3,27}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {3,9}, {3,24}, {2,12}, {2,4}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {3,26}, {1,5}, {1,27}, {1,17}, {2,27}, {3,6}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB27.29 (= ET27.49) // Bipartite(2,25) Valencies [25,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31022420086661971968000000 EdgesBipt[27][29]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {2,24}, {2,10}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,12}, {2,4}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {1,16}, {2,20}, {2,18}, {1,21}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB27.30 (= ET27.50) // Bipartite(1,26) Valencies [26,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 403291461126605635584000000 EdgesBipt[27][30]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,2}, {1,3}, {1,17}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,6}, {1,14}, {1,26}, {1,18}, {1,27}, {1,21}, {1,19}, {1,20}, {1,8}, {1,24}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 27 is 30 // ******************************************************************************************** // Order 28 // ETB28.1 (= ET28.1) // Bipartite(14,14) Valencies [2,2] // Diameter 14 Girth 28 // Twin-free VT AT // Automorphism group of order 56 EdgesBipt[28][1]:={ {13,19}, {4,20}, {7,26}, {14,17}, {3,20}, {5,24}, {8,28}, {9,27}, {12,19}, {1,15}, {3,18}, {5,22}, {10,23}, {1,16}, {10,25}, {8,27}, {11,21}, {6,24}, {2,18}, {12,21}, {4,22}, {11,23}, {9,25}, {6,26}, {2,16}, {7,28}, {14,15}, {13,17} }; // ETB28.2 (= ET28.3) // Bipartite(12,16) Valencies [4,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[28][2]:={ {3,16}, {7,14}, {8,21}, {6,15}, {11,22}, {4,24}, {7,23}, {5,13}, {5,24}, {9,19}, {2,17}, {3,14}, {1,27}, {12,23}, {9,22}, {12,18}, {7,15}, {4,16}, {4,21}, {8,15}, {11,26}, {9,13}, {10,25}, {2,28}, {3,27}, {10,20}, {9,28}, {1,13}, {8,27}, {5,23}, {5,25}, {6,17}, {6,24}, {10,19}, {12,20}, {2,18}, {12,21}, {4,22}, {11,20}, {1,18}, {8,19}, {6,26}, {2,16}, {3,25}, {10,17}, {1,26}, {7,28}, {11,14} }; // ETB28.3 (= ET28.4) // Bipartite(12,16) Valencies [4,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[28][3]:={ {10,27}, {8,20}, {2,24}, {9,21}, {9,16}, {8,21}, {8,25}, {11,27}, {1,20}, {5,15}, {3,23}, {11,23}, {4,16}, {3,24}, {2,16}, {3,15}, {7,18}, {6,20}, {11,22}, {7,15}, {5,17}, {10,14}, {6,27}, {12,14}, {12,19}, {4,17}, {7,25}, {3,26}, {10,24}, {9,13}, {4,22}, {12,25}, {2,28}, {2,19}, {9,18}, {8,26}, {12,22}, {5,14}, {7,28}, {6,17}, {1,13}, {5,13}, {1,19}, {10,21}, {4,26}, {6,28}, {1,23}, {11,18} }; // ETB28.4 (= ET28.5) // Bipartite(12,16) Valencies [4,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12288 EdgesBipt[28][4]:={ {4,24}, {9,23}, {2,24}, {8,23}, {6,26}, {12,16}, {8,15}, {3,27}, {7,13}, {8,25}, {11,27}, {9,15}, {3,23}, {4,16}, {7,27}, {2,16}, {2,20}, {3,15}, {6,20}, {1,21}, {11,22}, {3,19}, {12,13}, {12,24}, {7,21}, {1,17}, {7,19}, {6,18}, {4,22}, {2,28}, {9,18}, {10,17}, {5,14}, {5,18}, {5,26}, {1,13}, {10,28}, {9,26}, {6,28}, {4,14}, {10,25}, {11,19}, {10,20}, {11,14}, {5,22}, {1,25}, {8,17}, {12,21} }; // ETB28.5 (= ET28.6) // Bipartite(14,14) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[28][5]:={ {3,22}, {4,24}, {8,28}, {11,15}, {2,26}, {11,25}, {7,23}, {9,21}, {13,16}, {11,20}, {13,25}, {8,25}, {13,26}, {3,24}, {11,21}, {5,16}, {5,21}, {4,18}, {1,15}, {9,24}, {3,16}, {2,20}, {10,23}, {3,15}, {5,19}, {4,27}, {12,23}, {6,27}, {6,21}, {7,25}, {8,22}, {12,26}, {1,27}, {1,17}, {7,19}, {6,22}, {2,19}, {10,17}, {14,27}, {5,18}, {14,20}, {8,18}, {1,19}, {4,26}, {12,28}, {9,28}, {12,15}, {14,28}, {10,20}, {14,16}, {6,23}, {2,22}, {13,17}, {7,24}, {10,18}, {9,17} }; // ETB28.6 (= ET28.7) // Bipartite(14,14) Valencies [4,4] // Diameter 7 Girth 4 // Has twins VT AT // Automorphism group of order 458752 EdgesBipt[28][6]:={ {9,19}, {9,23}, {7,16}, {1,24}, {2,26}, {12,18}, {14,18}, {7,23}, {9,16}, {3,21}, {8,15}, {11,20}, {11,27}, {8,24}, {3,24}, {6,15}, {5,21}, {2,16}, {5,25}, {1,15}, {3,28}, {7,18}, {6,20}, {3,17}, {5,28}, {4,27}, {4,20}, {6,27}, {13,20}, {7,25}, {10,24}, {8,22}, {13,22}, {1,17}, {12,25}, {13,15}, {6,22}, {2,19}, {10,17}, {14,23}, {5,18}, {2,23}, {10,28}, {11,26}, {10,21}, {9,26}, {13,27}, {4,26}, {12,28}, {1,22}, {4,19}, {11,19}, {14,25}, {8,17}, {14,16}, {12,21} }; // ETB28.7 (= ET28.9) // Bipartite(7,21) Valencies [6,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[28][7]:={ {1,20}, {3,16}, {7,26}, {6,28}, {6,21}, {3,10}, {5,13}, {5,14}, {1,24}, {2,24}, {1,27}, {4,15}, {6,8}, {7,17}, {6,23}, {5,20}, {3,21}, {5,22}, {6,12}, {4,18}, {3,11}, {1,17}, {4,27}, {7,25}, {4,28}, {3,22}, {5,26}, {7,18}, {1,11}, {2,23}, {2,16}, {2,15}, {7,12}, {6,19}, {7,9}, {4,13}, {3,25}, {4,10}, {5,19}, {2,9}, {2,14}, {1,8} }; // ETB28.8 (= ET28.10) // Bipartite(7,21) Valencies [6,2] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3919104 EdgesBipt[28][8]:={ {6,20}, {3,24}, {1,20}, {7,10}, {7,26}, {6,13}, {3,10}, {5,18}, {1,27}, {3,8}, {1,15}, {7,17}, {3,15}, {2,21}, {1,22}, {4,21}, {6,18}, {6,27}, {2,28}, {4,14}, {4,19}, {3,17}, {1,13}, {5,23}, {5,25}, {4,28}, {6,11}, {3,22}, {5,11}, {2,23}, {5,16}, {2,16}, {6,25}, {4,26}, {7,12}, {7,24}, {5,9}, {2,9}, {4,12}, {7,19}, {2,14}, {1,8} }; // ETB28.9 (= ET28.11) // Bipartite(14,14) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 168 EdgesBipt[28][9]:={ {3,22}, {10,15}, {11,16}, {8,28}, {4,23}, {9,23}, {10,27}, {11,15}, {14,19}, {2,26}, {14,18}, {9,25}, {13,16}, {5,27}, {8,16}, {11,28}, {12,16}, {3,21}, {13,25}, {8,25}, {11,27}, {13,26}, {9,15}, {1,20}, {8,24}, {3,24}, {6,15}, {13,18}, {2,21}, {8,27}, {5,20}, {1,15}, {9,24}, {3,16}, {10,26}, {6,20}, {14,22}, {3,17}, {5,28}, {1,21}, {2,18}, {4,21}, {9,27}, {4,20}, {3,19}, {5,17}, {12,23}, {12,24}, {4,17}, {7,25}, {1,18}, {7,21}, {12,26}, {7,20}, {13,23}, {4,22}, {4,25}, {6,19}, {9,22}, {2,28}, {6,22}, {2,19}, {14,23}, {14,27}, {2,17}, {7,28}, {5,18}, {1,19}, {11,26}, {6,28}, {10,25}, {1,23}, {12,15}, {11,19}, {10,20}, {5,22}, {8,17}, {14,16}, {13,17}, {7,24}, {10,18}, {6,24}, {12,21}, {7,26} }; // ETB28.10 (= ET28.12) // Bipartite(14,14) Valencies [6,6] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 5505024 EdgesBipt[28][10]:={ {1,26}, {4,24}, {8,19}, {13,19}, {13,28}, {9,23}, {10,27}, {11,15}, {8,20}, {12,18}, {14,18}, {11,17}, {11,25}, {9,21}, {9,16}, {6,26}, {11,24}, {12,16}, {8,15}, {3,27}, {13,26}, {9,15}, {1,20}, {3,23}, {3,24}, {3,20}, {2,21}, {8,27}, {5,16}, {5,23}, {7,27}, {4,18}, {2,16}, {5,25}, {10,16}, {1,15}, {3,16}, {10,23}, {7,18}, {3,17}, {5,19}, {11,22}, {12,23}, {2,15}, {6,21}, {12,19}, {4,17}, {7,25}, {7,21}, {8,22}, {10,24}, {12,26}, {4,15}, {1,27}, {7,20}, {13,21}, {4,22}, {12,25}, {4,25}, {6,19}, {9,22}, {2,28}, {14,21}, {8,26}, {10,17}, {14,27}, {7,28}, {5,18}, {13,24}, {6,17}, {5,26}, {2,23}, {14,20}, {1,19}, {1,22}, {6,28}, {9,28}, {14,28}, {10,20}, {11,18}, {14,25}, {2,22}, {13,17}, {6,24} }; // ETB28.11 (= ET28.13) // Bipartite(14,14) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5376 EdgesBipt[28][11]:={ {1,26}, {8,19}, {8,28}, {13,19}, {9,19}, {9,23}, {11,15}, {1,24}, {5,24}, {7,23}, {9,16}, {12,16}, {8,15}, {11,20}, {13,25}, {8,25}, {9,15}, {8,24}, {3,23}, {11,21}, {13,18}, {5,16}, {5,21}, {7,27}, {4,18}, {2,16}, {5,25}, {10,16}, {1,15}, {3,16}, {3,28}, {10,23}, {10,26}, {6,20}, {3,17}, {4,21}, {9,27}, {4,20}, {11,22}, {5,17}, {6,27}, {2,15}, {3,18}, {12,24}, {13,20}, {3,26}, {7,21}, {4,15}, {7,20}, {2,27}, {6,18}, {4,22}, {12,25}, {6,19}, {9,22}, {14,21}, {2,19}, {1,28}, {8,26}, {10,17}, {12,22}, {14,23}, {14,27}, {7,28}, {6,25}, {6,17}, {2,23}, {14,20}, {14,24}, {1,19}, {10,28}, {11,26}, {13,27}, {4,26}, {14,28}, {11,18}, {12,17}, {5,22}, {1,25}, {2,22}, {13,17}, {7,24}, {10,18}, {12,21} }; // ETB28.12 (= ET28.18) // Bipartite(12,16) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[28][12]:={ {1,15}, {10,19}, {11,15}, {3,15}, {8,24}, {12,26}, {11,23}, {12,19}, {2,22}, {6,14}, {4,27}, {7,24}, {6,23}, {1,25}, {4,16}, {12,17}, {12,14}, {5,24}, {7,27}, {9,21}, {11,16}, {12,18}, {11,22}, {12,27}, {7,23}, {5,13}, {2,28}, {12,25}, {2,19}, {2,15}, {4,26}, {8,13}, {9,17}, {6,22}, {10,23}, {12,21}, {5,23}, {4,20}, {8,28}, {10,25}, {6,21}, {2,17}, {8,18}, {3,14}, {2,13}, {10,15}, {7,25}, {9,23}, {10,24}, {5,19}, {7,20}, {8,26}, {8,17}, {7,14}, {11,28}, {6,15}, {1,19}, {4,21}, {1,26}, {11,13}, {5,22}, {6,19}, {2,21}, {5,27}, {10,28}, {7,18}, {4,22}, {9,28}, {10,14}, {3,28}, {3,26}, {8,16}, {5,17}, {7,16}, {6,20}, {3,21}, {9,18}, {10,17}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {8,25}, {3,25}, {2,26}, {11,20}, {3,20}, {9,14}, {5,18}, {6,27}, {9,16}, {11,24}, {4,13}, {1,24}, {9,22} }; // ETB28.13 (= ET28.19) // Bipartite(12,16) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[28][13]:={ {1,26}, {12,20}, {4,24}, {11,16}, {8,28}, {9,19}, {10,27}, {11,15}, {7,16}, {2,26}, {9,20}, {11,17}, {7,23}, {8,16}, {8,23}, {6,26}, {8,21}, {8,15}, {11,20}, {7,13}, {8,25}, {5,15}, {4,16}, {3,24}, {11,21}, {2,21}, {8,27}, {5,23}, {5,21}, {7,27}, {5,25}, {9,24}, {3,16}, {3,28}, {2,20}, {1,16}, {10,23}, {3,15}, {7,18}, {6,20}, {5,19}, {4,27}, {3,25}, {2,18}, {4,20}, {3,19}, {5,17}, {7,15}, {12,23}, {3,14}, {12,14}, {6,21}, {12,24}, {1,18}, {7,22}, {10,24}, {1,27}, {4,28}, {9,13}, {11,13}, {2,27}, {1,17}, {4,22}, {12,25}, {6,19}, {9,22}, {10,19}, {1,28}, {8,26}, {9,18}, {12,22}, {2,17}, {5,18}, {9,14}, {6,25}, {3,13}, {6,17}, {2,23}, {1,13}, {5,13}, {1,19}, {10,28}, {10,22}, {11,26}, {4,26}, {6,28}, {4,14}, {10,25}, {12,15}, {7,14}, {11,14}, {2,22}, {9,17}, {10,18}, {6,24}, {12,21} }; // ETB28.14 (= ET28.20) // Bipartite(12,16) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[28][14]:={ {2,14}, {4,24}, {8,28}, {9,19}, {9,23}, {10,27}, {11,15}, {7,16}, {1,24}, {9,20}, {11,17}, {7,23}, {9,21}, {5,27}, {8,16}, {6,14}, {6,26}, {11,24}, {11,28}, {8,15}, {7,13}, {8,25}, {1,20}, {5,15}, {3,23}, {4,16}, {3,24}, {6,15}, {11,21}, {2,21}, {8,27}, {5,23}, {2,16}, {10,16}, {1,15}, {9,24}, {1,16}, {2,20}, {10,23}, {3,15}, {7,18}, {6,20}, {1,21}, {3,25}, {4,21}, {4,20}, {3,19}, {5,17}, {12,23}, {6,27}, {12,14}, {3,18}, {12,19}, {7,25}, {1,18}, {3,26}, {7,21}, {12,26}, {1,27}, {4,28}, {9,13}, {11,13}, {2,27}, {12,25}, {4,25}, {6,19}, {9,22}, {2,28}, {10,19}, {6,22}, {8,26}, {12,22}, {5,14}, {2,17}, {7,28}, {5,18}, {3,13}, {1,13}, {8,14}, {8,18}, {5,13}, {7,17}, {10,22}, {11,26}, {4,26}, {12,28}, {10,25}, {4,19}, {10,20}, {12,17}, {11,14}, {5,22}, {2,22}, {9,17}, {10,18}, {6,24} }; // ETB28.15 (= ET28.21) // Bipartite(12,16) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3439853568 EdgesBipt[28][15]:={ {9,13}, {7,19}, {11,15}, {10,21}, {3,15}, {12,26}, {10,22}, {6,18}, {11,23}, {4,14}, {12,19}, {2,22}, {6,14}, {4,27}, {6,17}, {7,24}, {1,25}, {6,13}, {12,15}, {12,14}, {12,22}, {5,24}, {6,25}, {7,27}, {9,21}, {11,16}, {12,18}, {12,27}, {7,23}, {7,15}, {5,13}, {2,18}, {8,14}, {4,26}, {9,17}, {10,18}, {6,22}, {5,21}, {3,19}, {8,22}, {8,15}, {7,28}, {2,14}, {1,17}, {10,25}, {1,16}, {6,21}, {10,13}, {2,17}, {8,18}, {2,13}, {7,20}, {8,26}, {3,23}, {11,28}, {3,27}, {6,26}, {5,28}, {9,25}, {4,15}, {8,19}, {12,23}, {2,21}, {8,27}, {11,19}, {5,20}, {9,28}, {4,22}, {10,14}, {3,28}, {3,24}, {5,17}, {9,24}, {8,23}, {7,16}, {10,17}, {11,27}, {1,20}, {3,16}, {1,13}, {4,18}, {2,26}, {11,20}, {3,20}, {2,25}, {1,28}, {10,26}, {9,16}, {4,23}, {11,24}, {5,16}, {1,21}, {5,25}, {4,19}, {9,20}, {1,24} }; // ETB28.16 (= ET28.22) // Bipartite(12,16) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 509607936 EdgesBipt[28][16]:={ {9,13}, {11,15}, {3,15}, {10,22}, {11,23}, {4,14}, {2,22}, {6,17}, {12,16}, {1,25}, {4,16}, {6,13}, {12,17}, {5,24}, {6,25}, {9,19}, {9,21}, {11,16}, {12,25}, {2,19}, {2,18}, {2,15}, {8,14}, {4,26}, {9,17}, {10,18}, {3,19}, {8,22}, {8,15}, {12,21}, {2,14}, {5,23}, {4,20}, {9,27}, {2,23}, {7,26}, {1,17}, {3,13}, {1,22}, {6,21}, {8,18}, {4,28}, {10,16}, {7,25}, {9,23}, {10,24}, {5,19}, {5,15}, {8,26}, {7,13}, {3,23}, {7,14}, {11,28}, {3,27}, {12,28}, {5,28}, {9,25}, {9,15}, {1,26}, {8,19}, {12,24}, {2,27}, {5,27}, {8,27}, {10,28}, {11,19}, {7,18}, {5,20}, {4,22}, {10,14}, {8,23}, {6,16}, {6,20}, {3,21}, {1,14}, {11,27}, {7,22}, {1,13}, {4,18}, {3,25}, {2,26}, {11,20}, {7,21}, {3,17}, {10,20}, {6,24}, {10,26}, {7,17}, {11,24}, {5,16}, {1,21}, {1,18}, {12,20}, {4,24}, {12,13}, {6,28} }; // ETB28.17 (= ET28.23) // Bipartite(12,16) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 786432 EdgesBipt[28][17]:={ {1,15}, {10,19}, {9,13}, {5,14}, {11,17}, {3,15}, {8,24}, {12,19}, {6,14}, {12,16}, {4,27}, {10,27}, {7,24}, {2,20}, {12,14}, {12,22}, {9,21}, {11,22}, {12,27}, {7,23}, {7,15}, {5,13}, {2,28}, {2,18}, {2,15}, {4,26}, {9,17}, {10,18}, {6,22}, {5,21}, {3,18}, {8,15}, {4,20}, {2,23}, {8,28}, {3,13}, {10,25}, {2,16}, {1,22}, {1,16}, {8,18}, {4,28}, {9,23}, {5,19}, {8,26}, {7,13}, {3,23}, {7,14}, {12,28}, {4,17}, {9,25}, {4,25}, {9,15}, {11,14}, {12,24}, {2,24}, {11,13}, {5,22}, {6,19}, {1,23}, {5,27}, {10,28}, {11,19}, {3,26}, {8,16}, {5,17}, {11,25}, {8,20}, {8,23}, {7,16}, {9,26}, {6,20}, {6,16}, {11,21}, {3,21}, {1,14}, {9,18}, {10,17}, {11,27}, {7,22}, {1,13}, {4,18}, {3,25}, {2,26}, {7,21}, {3,17}, {10,20}, {6,24}, {10,26}, {6,27}, {1,21}, {12,20}, {5,25}, {4,19}, {1,24}, {6,28} }; // ETB28.18 (= ET28.24) // Bipartite(12,16) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49152 EdgesBipt[28][18]:={ {11,15}, {10,21}, {11,17}, {3,15}, {12,26}, {11,23}, {6,18}, {4,14}, {12,16}, {6,17}, {4,27}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {12,14}, {12,22}, {6,25}, {9,19}, {12,18}, {7,23}, {7,15}, {5,13}, {2,28}, {2,19}, {2,15}, {5,26}, {8,14}, {9,17}, {5,21}, {8,22}, {8,15}, {9,27}, {2,23}, {7,26}, {1,17}, {10,25}, {2,16}, {1,22}, {10,13}, {8,18}, {3,14}, {10,16}, {3,22}, {5,19}, {10,24}, {8,26}, {7,13}, {3,23}, {6,26}, {6,15}, {12,28}, {4,21}, {5,28}, {9,25}, {1,26}, {8,19}, {12,24}, {2,24}, {11,13}, {2,27}, {5,27}, {8,27}, {10,28}, {11,19}, {7,18}, {5,20}, {9,28}, {4,22}, {3,24}, {11,25}, {8,23}, {7,16}, {6,20}, {11,21}, {1,14}, {10,17}, {11,27}, {3,16}, {1,13}, {3,25}, {7,21}, {9,14}, {3,17}, {10,20}, {5,18}, {4,13}, {1,21}, {12,20}, {1,18}, {4,19}, {4,24}, {9,20}, {9,22}, {6,28} }; // ETB28.19 (= ET28.25) // Bipartite(14,14) Valencies [8,8] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 5505024 EdgesBipt[28][19]:={ {1,15}, {7,19}, {13,25}, {11,15}, {10,21}, {14,25}, {3,15}, {12,26}, {10,22}, {11,23}, {6,18}, {12,19}, {12,16}, {6,17}, {4,27}, {13,18}, {10,27}, {7,24}, {6,23}, {2,20}, {13,24}, {14,19}, {1,25}, {14,18}, {4,16}, {12,17}, {12,15}, {12,22}, {5,24}, {6,25}, {7,27}, {9,19}, {9,21}, {11,16}, {11,22}, {2,28}, {14,20}, {2,19}, {5,26}, {14,27}, {8,22}, {8,15}, {13,16}, {5,23}, {4,20}, {9,27}, {2,23}, {7,26}, {8,28}, {2,16}, {1,22}, {6,21}, {8,21}, {8,18}, {10,15}, {7,25}, {3,22}, {9,23}, {10,24}, {5,19}, {5,15}, {7,20}, {8,26}, {3,27}, {14,26}, {1,19}, {11,18}, {4,15}, {4,25}, {1,26}, {8,19}, {12,24}, {12,23}, {5,22}, {2,27}, {14,17}, {2,21}, {10,28}, {7,18}, {4,22}, {9,28}, {3,28}, {3,24}, {5,17}, {11,25}, {13,28}, {6,16}, {9,26}, {3,21}, {10,17}, {11,27}, {13,21}, {4,18}, {8,25}, {13,23}, {2,26}, {13,17}, {11,20}, {3,20}, {1,28}, {3,17}, {10,20}, {6,24}, {9,16}, {7,17}, {4,23}, {5,16}, {1,21}, {1,18}, {14,24}, {9,20}, {6,28} }; // ETB28.20 (= ET28.27) // Bipartite(7,21) Valencies [9,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 47029248 EdgesBipt[28][20]:={ {5,12}, {7,16}, {2,26}, {7,9}, {2,24}, {7,23}, {2,10}, {5,27}, {6,14}, {4,11}, {3,27}, {7,13}, {6,10}, {5,15}, {3,24}, {2,12}, {6,15}, {3,20}, {5,8}, {4,12}, {5,20}, {7,27}, {4,18}, {2,16}, {1,15}, {3,11}, {1,16}, {3,17}, {5,19}, {3,25}, {4,21}, {3,18}, {6,21}, {1,18}, {7,21}, {7,20}, {4,28}, {4,25}, {6,22}, {2,19}, {2,17}, {7,28}, {3,13}, {6,17}, {2,23}, {5,26}, {1,8}, {5,13}, {2,9}, {1,9}, {4,26}, {1,22}, {4,14}, {6,28}, {1,23}, {4,19}, {7,14}, {1,11}, {1,25}, {5,22}, {6,8}, {6,24}, {3,10} }; // ETB28.21 (= ET28.28) // Bipartite(10,18) Valencies [9,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2799360 EdgesBipt[28][21]:={ {5,12}, {3,22}, {1,26}, {2,14}, {4,24}, {8,19}, {10,15}, {8,28}, {4,23}, {1,14}, {10,27}, {2,26}, {5,24}, {9,20}, {2,24}, {9,21}, {9,16}, {7,12}, {8,16}, {6,14}, {6,26}, {4,11}, {7,13}, {8,25}, {5,11}, {9,15}, {1,20}, {8,24}, {3,23}, {2,12}, {6,15}, {5,23}, {5,20}, {4,12}, {7,27}, {4,18}, {2,16}, {10,16}, {3,11}, {3,16}, {3,28}, {2,20}, {10,23}, {7,18}, {6,20}, {3,17}, {4,27}, {3,25}, {2,18}, {4,21}, {9,27}, {10,11}, {3,19}, {5,17}, {7,15}, {8,13}, {6,27}, {8,12}, {6,21}, {4,17}, {7,25}, {7,21}, {8,22}, {4,15}, {1,17}, {7,19}, {6,19}, {9,22}, {2,28}, {10,17}, {5,14}, {5,18}, {9,14}, {6,25}, {3,13}, {5,26}, {1,13}, {8,18}, {1,19}, {10,28}, {10,22}, {9,26}, {10,21}, {9,28}, {1,23}, {1,11}, {1,25}, {2,22}, {6,13}, {7,24} }; // ETB28.22 (= ET28.30) // Bipartite(8,20) Valencies [10,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26542080000 EdgesBipt[28][22]:={ {5,12}, {2,14}, {8,19}, {4,23}, {7,11}, {7,16}, {1,24}, {3,12}, {2,26}, {5,24}, {7,23}, {2,10}, {7,12}, {8,23}, {6,14}, {6,26}, {8,11}, {4,11}, {4,10}, {8,15}, {3,27}, {6,10}, {1,20}, {1,12}, {3,23}, {3,24}, {3,20}, {2,21}, {5,9}, {5,16}, {8,27}, {5,21}, {8,10}, {5,20}, {7,27}, {4,18}, {5,25}, {3,11}, {3,16}, {3,28}, {1,16}, {3,15}, {5,28}, {1,21}, {2,18}, {4,27}, {3,19}, {5,17}, {7,15}, {6,21}, {8,22}, {4,15}, {7,20}, {1,17}, {7,19}, {4,22}, {6,18}, {6,22}, {1,28}, {8,26}, {2,17}, {7,28}, {6,25}, {6,17}, {1,13}, {8,14}, {8,18}, {5,13}, {2,9}, {1,9}, {4,26}, {2,13}, {2,25}, {4,14}, {4,19}, {1,25}, {2,22}, {6,13}, {7,24}, {6,9} }; // ETB28.23 (= ET28.31) // Bipartite(4,24) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2149908480000 EdgesBipt[28][23]:={ {2,14}, {4,23}, {1,24}, {3,12}, {2,26}, {2,10}, {4,11}, {4,10}, {3,27}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {3,23}, {3,24}, {3,20}, {4,6}, {2,21}, {4,18}, {3,11}, {3,16}, {3,7}, {3,28}, {1,16}, {3,15}, {2,18}, {1,21}, {4,27}, {3,19}, {2,5}, {1,5}, {4,15}, {1,17}, {4,22}, {1,28}, {2,17}, {1,8}, {1,13}, {2,9}, {1,9}, {4,26}, {2,13}, {2,25}, {4,14}, {4,19}, {1,25}, {2,22} }; // ETB28.24 (= ET28.32) // Bipartite(4,24) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4586471424 EdgesBipt[28][24]:={ {2,11}, {4,8}, {2,14}, {4,9}, {2,26}, {3,12}, {2,24}, {1,10}, {4,10}, {3,21}, {3,27}, {2,6}, {4,16}, {3,24}, {3,9}, {2,12}, {1,7}, {1,16}, {3,7}, {2,20}, {3,15}, {4,27}, {3,25}, {2,18}, {4,21}, {4,20}, {3,19}, {3,18}, {2,5}, {1,5}, {4,15}, {4,28}, {1,17}, {4,22}, {3,6}, {1,28}, {2,17}, {3,13}, {2,23}, {1,13}, {1,19}, {4,26}, {1,22}, {4,14}, {2,8}, {1,23}, {1,11}, {1,25} }; // ETB28.25 (= ET28.33) // Bipartite(7,21) Valencies [12,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 47029248 EdgesBipt[28][25]:={ {1,15}, {5,14}, {6,10}, {6,18}, {4,14}, {1,11}, {6,14}, {4,8}, {6,17}, {4,27}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {6,25}, {7,27}, {7,15}, {7,23}, {3,10}, {2,19}, {2,18}, {6,9}, {5,26}, {5,9}, {5,21}, {3,19}, {7,10}, {5,23}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {6,21}, {4,28}, {3,14}, {2,13}, {1,12}, {5,19}, {5,15}, {7,20}, {7,13}, {3,27}, {1,19}, {4,21}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {4,11}, {7,8}, {5,22}, {2,27}, {5,8}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {7,16}, {6,16}, {3,21}, {7,9}, {7,22}, {4,18}, {2,26}, {3,20}, {5,12}, {2,25}, {3,17}, {6,24}, {7,17}, {1,8}, {5,16}, {4,13}, {1,18}, {1,24}, {6,28} }; // ETB28.26 (= ET28.34) // Bipartite(12,16) Valencies [12,9] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[28][26]:={ {1,15}, {9,13}, {10,19}, {7,19}, {11,15}, {5,14}, {10,21}, {3,15}, {11,17}, {8,24}, {12,26}, {10,22}, {6,18}, {11,23}, {4,14}, {12,19}, {6,14}, {4,27}, {6,17}, {10,27}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {12,15}, {12,17}, {12,14}, {12,22}, {7,27}, {9,19}, {9,21}, {11,22}, {12,27}, {7,23}, {7,15}, {5,13}, {2,28}, {12,25}, {2,19}, {2,15}, {5,26}, {4,26}, {5,21}, {3,18}, {8,22}, {7,28}, {12,21}, {2,14}, {4,20}, {9,27}, {2,23}, {8,28}, {3,13}, {10,25}, {2,16}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {4,28}, {2,13}, {10,16}, {3,22}, {5,19}, {9,23}, {10,24}, {5,15}, {7,20}, {8,26}, {7,13}, {3,27}, {6,26}, {1,19}, {11,18}, {12,28}, {4,21}, {4,17}, {5,28}, {9,25}, {4,15}, {4,25}, {9,15}, {1,26}, {8,19}, {11,26}, {11,14}, {12,24}, {12,23}, {2,24}, {11,13}, {5,22}, {2,27}, {6,19}, {1,23}, {5,27}, {8,27}, {7,18}, {10,14}, {3,28}, {3,26}, {8,16}, {5,17}, {3,24}, {11,25}, {8,20}, {8,23}, {6,16}, {6,20}, {11,21}, {1,14}, {9,18}, {10,17}, {7,22}, {3,16}, {1,13}, {4,18}, {3,25}, {8,25}, {3,20}, {7,21}, {11,20}, {2,25}, {9,14}, {1,28}, {3,17}, {10,20}, {6,24}, {5,18}, {10,26}, {9,16}, {7,17}, {4,23}, {11,24}, {5,16}, {1,18}, {9,20}, {1,24}, {6,28}, {9,22} }; // ETB28.27 (= ET28.35) // Bipartite(12,16) Valencies [12,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10319560704 EdgesBipt[28][27]:={ {9,13}, {10,19}, {7,19}, {11,15}, {5,14}, {10,21}, {3,15}, {8,24}, {10,22}, {6,18}, {11,23}, {12,19}, {2,22}, {6,14}, {4,27}, {6,17}, {12,16}, {10,27}, {7,24}, {6,23}, {1,25}, {4,16}, {6,13}, {12,15}, {12,17}, {5,24}, {6,25}, {7,27}, {9,21}, {11,16}, {11,22}, {12,27}, {7,23}, {7,15}, {5,13}, {12,25}, {2,19}, {2,18}, {2,15}, {5,26}, {8,13}, {9,17}, {10,18}, {6,22}, {5,21}, {10,23}, {3,19}, {3,18}, {8,15}, {7,28}, {12,21}, {2,14}, {4,20}, {2,23}, {7,26}, {8,28}, {1,17}, {10,25}, {1,22}, {1,16}, {6,21}, {10,13}, {8,21}, {2,17}, {4,28}, {3,14}, {2,13}, {10,15}, {3,22}, {7,20}, {3,23}, {8,17}, {7,14}, {11,28}, {3,27}, {6,26}, {6,15}, {11,18}, {12,28}, {4,21}, {4,17}, {5,28}, {9,25}, {4,15}, {4,25}, {1,26}, {8,19}, {11,26}, {11,14}, {12,24}, {12,23}, {5,22}, {2,27}, {6,19}, {2,21}, {8,27}, {11,19}, {7,18}, {5,20}, {9,28}, {10,14}, {3,28}, {3,26}, {8,16}, {5,17}, {3,24}, {9,24}, {8,20}, {8,23}, {7,16}, {9,26}, {1,14}, {9,18}, {10,17}, {11,27}, {1,20}, {7,22}, {3,16}, {1,13}, {8,25}, {2,26}, {3,20}, {11,20}, {2,25}, {9,14}, {1,28}, {5,18}, {10,26}, {6,27}, {9,16}, {4,23}, {11,24}, {5,16}, {4,13}, {1,21}, {1,18}, {12,20}, {5,25}, {4,19}, {4,24}, {12,13}, {9,20}, {1,24}, {9,22} }; // ETB28.28 (= ET28.36) // Bipartite(14,14) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 165150720 EdgesBipt[28][28]:={ {11,17}, {10,24}, {1,20}, {5,17}, {9,28}, {6,16}, {13,21}, {14,19}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {8,28}, {1,27}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {8,15}, {14,28}, {4,23}, {8,27}, {13,16}, {10,15}, {10,22}, {6,22}, {11,28}, {3,17}, {6,21}, {14,23}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {9,19}, {5,25}, {11,15}, {11,22}, {7,25}, {14,24}, {10,28}, {1,22}, {12,16}, {5,23}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {11,23}, {6,24}, {7,17}, {5,24}, {13,23}, {12,25}, {8,22}, {13,25}, {13,28}, {9,20}, {4,15}, {1,28}, {3,27}, {4,28}, {6,23}, {3,26}, {8,26}, {12,26}, {9,22}, {6,15}, {12,27}, {14,17}, {8,21}, {3,19}, {14,18}, {1,24}, {12,23}, {13,24}, {11,24}, {6,27}, {12,19}, {3,23}, {3,21}, {1,25}, {13,15}, {1,15}, {6,28}, {12,15}, {13,27}, {14,20}, {14,25}, {7,28}, {3,16}, {11,26}, {11,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {10,27}, {1,26}, {2,22}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {12,24}, {8,20}, {3,28}, {7,27}, {7,24}, {10,20}, {5,15}, {5,19}, {6,20}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {12,18}, {11,18}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB28.29 (= ET28.39) // Bipartite(14,14) Valencies [13,13] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 174356582400 EdgesBipt[28][29]:={ {11,17}, {10,25}, {1,20}, {10,24}, {11,20}, {9,28}, {6,16}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {8,28}, {1,27}, {3,25}, {3,15}, {10,23}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {8,25}, {2,28}, {8,15}, {14,28}, {4,23}, {8,27}, {13,16}, {10,15}, {10,22}, {3,18}, {11,28}, {3,17}, {8,16}, {6,21}, {2,25}, {14,23}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {9,19}, {5,25}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {5,23}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {14,15}, {11,23}, {1,23}, {6,24}, {7,17}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,28}, {4,15}, {1,28}, {3,27}, {4,28}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {12,27}, {14,17}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {3,21}, {1,25}, {6,19}, {13,15}, {1,15}, {6,28}, {12,15}, {13,27}, {14,20}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {11,16}, {7,23}, {13,19}, {2,21}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {10,20}, {5,15}, {5,19}, {6,20}, {5,21}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {12,18}, {11,18}, {12,21}, {14,26}, {10,16}, {5,16} }; // ETB28.30 (= ET28.41) // Bipartite(14,14) Valencies [14,14] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 15200108913103994880000 EdgesBipt[28][30]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {6,16}, {4,27}, {13,21}, {7,15}, {4,24}, {14,19}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {8,28}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {8,15}, {14,28}, {4,23}, {8,27}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {3,17}, {8,16}, {6,21}, {2,25}, {14,23}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {9,19}, {5,25}, {11,15}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {12,16}, {5,23}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {14,15}, {11,23}, {1,23}, {6,24}, {7,17}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {9,20}, {4,15}, {1,28}, {3,27}, {4,28}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {12,27}, {14,17}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {13,15}, {1,15}, {6,28}, {12,15}, {13,27}, {14,20}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {11,16}, {7,23}, {13,19}, {2,21}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {10,20}, {5,15}, {5,19}, {6,20}, {5,21}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {12,18}, {11,18}, {12,21}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB28.31 (= ET28.42) // Bipartite(7,21) Valencies [15,5] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[28][31]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,18}, {4,14}, {1,11}, {4,8}, {6,17}, {4,27}, {7,24}, {6,23}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {7,15}, {7,23}, {5,13}, {2,28}, {2,19}, {2,18}, {6,9}, {4,26}, {7,11}, {6,22}, {5,9}, {5,21}, {4,12}, {3,18}, {7,10}, {2,14}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {7,26}, {1,17}, {3,13}, {2,16}, {6,21}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {7,25}, {3,22}, {5,15}, {7,20}, {3,23}, {7,14}, {3,27}, {6,15}, {1,19}, {5,28}, {4,25}, {1,26}, {2,24}, {4,11}, {7,8}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {5,8}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {5,17}, {6,16}, {6,20}, {7,16}, {3,21}, {1,20}, {1,27}, {5,11}, {7,22}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {7,21}, {5,12}, {2,25}, {1,28}, {4,9}, {5,18}, {6,27}, {7,17}, {1,8}, {5,16}, {4,19}, {4,10}, {1,24} }; // ETB28.32 (= ET28.43) // Bipartite(8,20) Valencies [15,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 79626240000 EdgesBipt[28][32]:={ {7,19}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {2,22}, {6,14}, {4,27}, {6,17}, {2,11}, {7,24}, {6,23}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {7,27}, {7,15}, {7,23}, {5,13}, {3,10}, {2,19}, {2,18}, {6,9}, {2,15}, {5,26}, {8,13}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {7,28}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {7,26}, {8,28}, {1,17}, {1,22}, {1,16}, {6,21}, {2,17}, {8,21}, {4,28}, {3,14}, {2,13}, {1,12}, {3,22}, {7,20}, {3,23}, {8,17}, {7,14}, {3,27}, {6,15}, {6,26}, {8,11}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {8,19}, {4,11}, {5,22}, {2,27}, {6,19}, {2,21}, {8,27}, {7,18}, {8,9}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {8,16}, {3,12}, {8,20}, {8,23}, {7,16}, {1,14}, {1,20}, {7,22}, {3,16}, {1,13}, {5,10}, {8,25}, {2,26}, {3,20}, {5,12}, {2,25}, {1,28}, {4,9}, {5,18}, {6,27}, {4,23}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {5,25}, {4,19}, {4,24}, {8,12}, {1,24} }; // ETB28.33 (= ET28.44) // Bipartite(13,15) Valencies [15,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8142915489162854400000 EdgesBipt[28][33]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {6,16}, {4,27}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {8,28}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {8,15}, {4,23}, {8,27}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {9,19}, {8,14}, {5,25}, {11,15}, {11,22}, {9,14}, {7,25}, {10,28}, {1,22}, {12,16}, {5,23}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {5,14}, {9,20}, {4,15}, {1,28}, {7,14}, {3,27}, {4,28}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {13,15}, {1,15}, {6,28}, {12,15}, {6,14}, {13,27}, {7,28}, {3,16}, {11,26}, {13,26}, {11,16}, {7,23}, {13,19}, {2,21}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {13,14}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB28.34 (= ET28.46) // Bipartite(12,16) Valencies [16,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10022049832815820800000 EdgesBipt[28][34]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {12,22}, {8,28}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {8,15}, {4,23}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {12,13}, {12,16}, {5,23}, {4,21}, {3,20}, {10,21}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {12,28}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {9,13}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {6,26}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {1,15}, {6,28}, {12,15}, {6,14}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB28.35 (= ET28.47) // Bipartite(11,17) Valencies [17,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14197903929822412800000 EdgesBipt[28][35]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {8,28}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,28}, {2,14}, {8,15}, {4,23}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,20}, {9,26}, {9,27}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {7,17}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,28}, {6,14}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB28.36 (= ET28.48) // Bipartite(4,24) Valencies [18,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6449725440000 EdgesBipt[28][36]:={ {2,11}, {3,22}, {1,26}, {2,14}, {4,8}, {4,13}, {4,9}, {4,24}, {4,23}, {1,14}, {1,24}, {3,12}, {2,26}, {2,10}, {1,10}, {4,11}, {1,6}, {3,27}, {2,6}, {4,7}, {1,20}, {1,12}, {3,8}, {3,23}, {4,16}, {3,24}, {3,20}, {2,21}, {4,12}, {2,7}, {3,11}, {1,16}, {3,7}, {3,16}, {3,28}, {3,15}, {2,18}, {1,21}, {4,27}, {4,21}, {4,20}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {4,5}, {4,17}, {1,18}, {3,26}, {1,5}, {4,15}, {4,28}, {2,27}, {1,17}, {3,6}, {4,25}, {2,19}, {1,28}, {2,17}, {2,23}, {1,8}, {1,13}, {2,9}, {1,9}, {1,22}, {2,13}, {2,25}, {4,19}, {1,25}, {2,22}, {3,10} }; // ETB28.37 (= ET28.49) // Bipartite(7,21) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1410877440 EdgesBipt[28][37]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {4,14}, {1,11}, {6,14}, {4,8}, {4,27}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {7,27}, {7,15}, {7,23}, {3,10}, {2,28}, {2,19}, {2,18}, {6,9}, {5,26}, {4,26}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {7,28}, {7,10}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {7,25}, {3,22}, {5,19}, {5,15}, {6,8}, {7,20}, {7,13}, {7,14}, {3,27}, {6,15}, {6,26}, {1,19}, {4,21}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {7,8}, {2,27}, {6,19}, {1,23}, {2,21}, {5,8}, {7,18}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {7,16}, {3,21}, {7,9}, {1,20}, {1,27}, {5,11}, {7,22}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {7,21}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {5,18}, {6,27}, {7,17}, {4,23}, {1,8}, {5,16}, {4,13}, {1,18}, {5,25}, {4,19}, {1,24}, {6,28} }; // ETB28.38 (= ET28.50) // Bipartite(10,18) Valencies [18,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23232933703345766400000 EdgesBipt[28][38]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {8,28}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {2,14}, {8,15}, {6,11}, {4,23}, {8,27}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,28}, {6,14}, {2,11}, {10,11}, {7,28}, {3,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {7,18}, {10,16}, {5,16} }; // ETB28.39 (= ET28.52) // Bipartite(9,19) Valencies [19,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 44142574036356956160000 EdgesBipt[28][39]:={ {1,11}, {2,24}, {1,20}, {5,17}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,28}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {8,15}, {6,11}, {4,23}, {8,27}, {9,11}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {2,10}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {6,23}, {3,10}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {9,18}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,10}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {7,18}, {5,16} }; // ETB28.40 (= ET28.53) // Bipartite(8,20) Valencies [20,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 98094608969682124800000 EdgesBipt[28][40]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {8,15}, {6,11}, {4,23}, {8,27}, {6,22}, {3,18}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {5,11}, {2,10}, {8,14}, {5,25}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {8,17}, {2,16}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {6,23}, {3,10}, {3,26}, {5,28}, {8,26}, {6,15}, {2,17}, {5,12}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,24}, {1,26}, {2,22}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,10}, {7,24}, {2,12}, {1,14}, {5,15}, {5,19}, {6,20}, {5,21}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {7,18}, {5,16} }; // ETB28.41 (= ET28.54) // Bipartite(7,21) Valencies [21,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 257498348545415577600000 EdgesBipt[28][41]:={ {1,15}, {7,19}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {4,27}, {6,17}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {7,27}, {7,15}, {7,23}, {5,13}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {4,12}, {3,18}, {7,28}, {7,10}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {7,26}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {7,25}, {3,22}, {5,19}, {5,15}, {6,8}, {7,20}, {3,23}, {7,13}, {7,14}, {3,27}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {7,8}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {5,8}, {7,18}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {7,16}, {3,21}, {1,14}, {7,9}, {2,8}, {1,20}, {1,27}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {7,21}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {6,24}, {5,18}, {6,27}, {7,17}, {4,23}, {1,8}, {5,16}, {7,12}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24}, {6,28} }; // ETB28.42 (= ET28.56) // Bipartite(6,22) Valencies [22,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 809280523999877529600000 EdgesBipt[28][42]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {2,22}, {6,14}, {4,8}, {4,27}, {3,7}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {6,7}, {5,7}, {5,13}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {3,19}, {4,12}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {3,23}, {3,27}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {6,24}, {2,7}, {5,18}, {6,27}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24}, {6,28} }; // ETB28.43 (= ET28.57) // Bipartite(5,23) Valencies [23,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3102242008666197196800000 EdgesBipt[28][43]:={ {1,15}, {5,14}, {3,15}, {4,14}, {1,11}, {2,22}, {4,8}, {4,27}, {3,7}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {1,9}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {3,19}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {5,19}, {5,15}, {3,23}, {3,27}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB28.44 (= ET28.58) // Bipartite(4,24) Valencies [24,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14890761641597746544640000 EdgesBipt[28][44]:={ {1,15}, {3,15}, {4,14}, {1,11}, {2,22}, {4,8}, {3,7}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {1,9}, {4,5}, {1,5}, {4,6}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {4,26}, {3,19}, {4,12}, {3,18}, {2,14}, {3,11}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {3,27}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {3,5}, {1,26}, {2,24}, {4,11}, {2,27}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {1,28}, {3,17}, {4,9}, {2,7}, {4,23}, {1,8}, {4,13}, {1,21}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB28.45 (= ET28.60) // Bipartite(3,25) Valencies [25,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 93067260259985915904000000 EdgesBipt[28][45]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {3,12}, {2,24}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {3,27}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {3,9}, {3,24}, {2,12}, {2,4}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,28}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {3,26}, {1,5}, {1,27}, {1,17}, {2,27}, {3,6}, {2,28}, {2,19}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB28.46 (= ET28.61) // Bipartite(2,26) Valencies [26,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 806582922253211271168000000 EdgesBipt[28][46]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {2,24}, {2,10}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,12}, {2,4}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {1,16}, {2,20}, {2,18}, {1,21}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {2,19}, {1,28}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB28.47 (= ET28.63) // Bipartite(1,27) Valencies [27,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 10888869450418352160768000000 EdgesBipt[28][47]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,2}, {1,3}, {1,17}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,28}, {1,6}, {1,14}, {1,26}, {1,18}, {1,27}, {1,21}, {1,19}, {1,20}, {1,8}, {1,24}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 28 is 47 // ******************************************************************************************** // Order 29 // ETB29.1 (= ET29.4) // Bipartite(14,15) Valencies [15,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 114000816848279961600000 EdgesBipt[29][1]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {14,19}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {8,28}, {4,29}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {8,15}, {14,28}, {4,23}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {14,23}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {5,25}, {11,15}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {12,16}, {5,23}, {10,29}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {14,15}, {1,23}, {11,23}, {6,24}, {11,29}, {7,17}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {9,20}, {4,15}, {1,28}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {12,27}, {14,17}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {13,27}, {14,20}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {11,16}, {7,23}, {13,19}, {2,21}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {10,20}, {5,15}, {5,19}, {6,20}, {5,21}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {8,29}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB29.2 (= ET29.5) // Bipartite(13,16) Valencies [16,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 130286647826605670400000 EdgesBipt[29][2]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {8,28}, {4,29}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {8,15}, {4,23}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {11,15}, {11,22}, {9,14}, {7,25}, {10,28}, {1,22}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {1,29}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {7,17}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {5,14}, {9,20}, {4,15}, {1,28}, {7,14}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {13,27}, {7,28}, {3,16}, {11,26}, {13,26}, {7,23}, {11,16}, {13,19}, {2,21}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {13,14}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB29.3 (= ET29.6) // Bipartite(12,17) Valencies [17,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 170374847157868953600000 EdgesBipt[29][3]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {12,22}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {8,15}, {4,23}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {12,13}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {7,17}, {5,24}, {12,28}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {9,13}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {6,26}, {12,19}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB29.4 (= ET29.7) // Bipartite(11,18) Valencies [18,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 255562270736803430400000 EdgesBipt[29][4]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {11,25}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,28}, {2,14}, {8,15}, {4,23}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,26}, {9,27}, {5,29}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {5,23}, {4,21}, {10,29}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {7,17}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB29.5 (= ET29.8) // Bipartite(10,19) Valencies [19,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 441425740363569561600000 EdgesBipt[29][5]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {2,14}, {8,15}, {6,11}, {4,23}, {8,27}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {5,23}, {4,21}, {10,29}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {10,11}, {7,28}, {3,16}, {7,23}, {2,21}, {9,18}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {7,18}, {10,16}, {5,16} }; // ETB29.6 (= ET29.9) // Bipartite(9,20) Valencies [20,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 882851480727139123200000 EdgesBipt[29][6]:={ {1,11}, {2,24}, {1,20}, {5,17}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {8,15}, {6,11}, {4,23}, {8,27}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,10}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {5,19}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {7,18}, {5,16} }; // ETB29.7 (= ET29.10) // Bipartite(8,21) Valencies [21,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2059986788363324620800000 EdgesBipt[29][7]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {6,11}, {8,15}, {4,23}, {8,27}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {5,11}, {2,10}, {5,29}, {8,14}, {5,25}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {6,15}, {2,17}, {5,12}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,10}, {7,24}, {2,12}, {1,14}, {5,15}, {5,19}, {6,20}, {5,21}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {8,29}, {7,18}, {5,16} }; // ETB29.8 (= ET29.11) // Bipartite(7,22) Valencies [22,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5664963667999142707200000 EdgesBipt[29][8]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {7,8}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {6,11}, {4,23}, {6,22}, {3,18}, {6,29}, {3,17}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {1,18}, {7,11}, {7,20}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {7,16}, {1,12}, {7,26}, {5,18}, {1,23}, {6,24}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {7,18}, {5,16} }; // ETB29.9 (= ET29.12) // Bipartite(6,23) Valencies [23,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18613452051997183180800000 EdgesBipt[29][9]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {2,22}, {6,14}, {4,8}, {4,27}, {3,7}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {6,7}, {5,7}, {5,13}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,9}, {3,22}, {5,19}, {5,15}, {6,8}, {3,23}, {5,29}, {3,27}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {6,29}, {2,24}, {4,11}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {6,24}, {2,7}, {5,18}, {6,27}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24}, {6,28} }; // ETB29.10 (= ET29.13) // Bipartite(5,24) Valencies [24,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 74453808207988732723200000 EdgesBipt[29][10]:={ {1,15}, {5,14}, {3,15}, {4,14}, {1,11}, {3,29}, {2,22}, {4,8}, {4,27}, {3,7}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {1,9}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {2,29}, {3,19}, {1,29}, {5,6}, {4,12}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,9}, {3,22}, {5,19}, {5,15}, {3,23}, {5,29}, {3,27}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {2,7}, {5,18}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB29.11 (= ET29.14) // Bipartite(4,25) Valencies [25,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 372269041039943663616000000 EdgesBipt[29][11]:={ {1,15}, {3,15}, {4,14}, {1,11}, {3,29}, {2,22}, {4,8}, {3,7}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {1,9}, {4,5}, {1,5}, {4,6}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {2,14}, {3,11}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {3,27}, {1,19}, {4,21}, {4,17}, {4,15}, {2,9}, {4,25}, {3,5}, {1,26}, {2,24}, {4,11}, {2,27}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {1,28}, {3,17}, {4,9}, {2,7}, {4,23}, {1,8}, {4,13}, {1,21}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB29.12 (= ET29.15) // Bipartite(3,26) Valencies [26,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2419748766759633813504000000 EdgesBipt[29][12]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {3,12}, {1,29}, {2,29}, {2,24}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {3,27}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {3,9}, {3,24}, {2,12}, {2,4}, {3,29}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,28}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {3,19}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {3,26}, {1,5}, {1,27}, {1,17}, {2,27}, {3,6}, {2,28}, {2,19}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB29.13 (= ET29.16) // Bipartite(2,27) Valencies [27,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21777738900836704321536000000 EdgesBipt[29][13]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {1,29}, {2,29}, {2,24}, {2,10}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,12}, {2,4}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {1,16}, {2,20}, {2,18}, {1,21}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {2,19}, {1,28}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB29.14 (= ET29.17) // Bipartite(1,28) Valencies [28,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 304888344611713860501504000000 EdgesBipt[29][14]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,2}, {1,3}, {1,17}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,28}, {1,6}, {1,14}, {1,26}, {1,18}, {1,27}, {1,21}, {1,19}, {1,29}, {1,20}, {1,8}, {1,24}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 29 is 14 // ******************************************************************************************** // Order 30 // ETB30.1 (= ET30.1) // Bipartite(15,15) Valencies [2,2] // Diameter 15 Girth 30 // Twin-free VT AT // Automorphism group of order 60 EdgesBipt[30][1]:={ {13,19}, {4,20}, {7,26}, {6,28}, {7,30}, {4,24}, {12,25}, {8,28}, {9,27}, {2,17}, {8,29}, {13,23}, {3,18}, {10,29}, {5,22}, {1,16}, {10,25}, {15,19}, {15,17}, {6,24}, {2,20}, {3,22}, {12,21}, {5,26}, {11,27}, {1,18}, {9,30}, {11,23}, {14,21}, {14,16} }; // ETB30.2 (= ET30.2) // Bipartite(15,15) Valencies [3,3] // Diameter 4 Girth 8 // Twin-free VT AT // Automorphism group of order 1440 EdgesBipt[30][2]:={ {3,22}, {11,30}, {1,26}, {4,24}, {8,28}, {9,23}, {10,27}, {7,16}, {5,29}, {2,24}, {5,27}, {8,23}, {12,16}, {8,21}, {13,25}, {10,30}, {15,27}, {1,20}, {4,16}, {3,29}, {3,20}, {13,18}, {15,21}, {9,29}, {9,24}, {10,26}, {2,18}, {11,22}, {5,17}, {13,20}, {7,22}, {7,21}, {12,25}, {6,19}, {2,19}, {14,23}, {1,28}, {6,17}, {4,26}, {6,28}, {11,19}, {12,17}, {14,25}, {15,18}, {14,30} }; // ETB30.3 (= ET30.3) // Bipartite(10,20) Valencies [4,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[30][3]:={ {8,20}, {6,13}, {3,29}, {6,28}, {6,21}, {7,30}, {4,30}, {4,17}, {1,23}, {9,21}, {9,27}, {7,16}, {3,14}, {4,15}, {3,15}, {8,11}, {10,14}, {8,16}, {5,22}, {10,27}, {2,22}, {4,19}, {1,17}, {5,25}, {5,26}, {1,11}, {2,23}, {10,24}, {3,28}, {1,18}, {8,26}, {7,13}, {2,29}, {6,25}, {7,24}, {9,20}, {2,12}, {5,19}, {10,18}, {9,12} }; // ETB30.4 (= ET30.4) // Bipartite(10,20) Valencies [4,2] // Diameter 5 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 320 EdgesBipt[30][4]:={ {1,20}, {6,28}, {7,23}, {8,30}, {9,16}, {5,14}, {4,30}, {5,24}, {6,29}, {5,18}, {9,21}, {9,27}, {10,16}, {10,12}, {7,17}, {3,15}, {6,23}, {2,25}, {3,21}, {10,29}, {4,18}, {2,28}, {1,12}, {1,17}, {8,27}, {10,22}, {6,24}, {2,20}, {4,22}, {1,11}, {5,11}, {3,26}, {8,19}, {9,14}, {7,13}, {8,25}, {2,15}, {4,26}, {3,13}, {7,19} }; // ETB30.5 (= ET30.5) // Bipartite(10,20) Valencies [4,2] // Diameter 10 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20480 EdgesBipt[30][5]:={ {7,14}, {6,28}, {4,24}, {9,19}, {6,29}, {5,27}, {4,23}, {3,18}, {7,15}, {1,22}, {8,16}, {6,18}, {8,15}, {2,22}, {4,14}, {3,27}, {10,20}, {10,30}, {3,17}, {1,12}, {2,13}, {7,25}, {9,29}, {5,26}, {1,11}, {2,23}, {10,21}, {10,11}, {5,16}, {3,28}, {5,17}, {8,26}, {9,30}, {8,25}, {6,19}, {1,21}, {7,24}, {9,20}, {4,13}, {2,12} }; // ETB30.6 (= ET30.6) // Bipartite(15,15) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 720 EdgesBipt[30][6]:={ {11,30}, {12,27}, {12,20}, {11,16}, {8,19}, {4,24}, {9,19}, {8,20}, {2,26}, {5,24}, {2,29}, {5,29}, {15,20}, {8,21}, {3,21}, {3,27}, {11,29}, {13,26}, {6,30}, {15,23}, {3,23}, {4,16}, {13,18}, {5,21}, {4,18}, {1,16}, {15,30}, {9,27}, {4,20}, {5,17}, {6,27}, {3,18}, {7,22}, {12,29}, {15,28}, {1,17}, {14,21}, {10,19}, {12,22}, {8,26}, {7,28}, {6,25}, {2,23}, {10,22}, {1,22}, {2,25}, {10,25}, {9,28}, {1,23}, {13,30}, {14,28}, {11,19}, {14,25}, {14,16}, {13,17}, {7,24}, {10,18}, {9,17}, {6,24}, {7,26} }; // ETB30.7 (= ET30.7) // Bipartite(15,15) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 120 EdgesBipt[30][7]:={ {11,30}, {1,26}, {12,20}, {11,16}, {8,19}, {4,24}, {10,27}, {1,24}, {2,29}, {5,29}, {5,27}, {8,23}, {15,20}, {13,25}, {13,26}, {6,30}, {3,23}, {11,23}, {4,16}, {13,18}, {2,21}, {8,27}, {9,24}, {1,16}, {15,19}, {5,19}, {3,25}, {4,21}, {3,19}, {5,17}, {3,18}, {15,17}, {1,18}, {15,25}, {7,22}, {10,29}, {7,21}, {7,20}, {6,18}, {4,22}, {9,22}, {2,28}, {14,21}, {8,26}, {12,22}, {2,17}, {9,30}, {11,26}, {13,27}, {12,28}, {10,25}, {9,28}, {14,28}, {10,20}, {12,17}, {14,16}, {6,23}, {6,24}, {14,30}, {7,29} }; // ETB30.8 (= ET30.14) // Bipartite(10,20) Valencies [6,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[30][8]:={ {3,22}, {2,14}, {8,28}, {1,14}, {1,24}, {2,30}, {2,29}, {9,25}, {9,20}, {7,23}, {7,12}, {8,23}, {8,11}, {6,26}, {3,21}, {8,25}, {5,11}, {5,15}, {4,16}, {10,12}, {3,29}, {4,30}, {8,27}, {6,16}, {5,20}, {10,13}, {4,18}, {5,25}, {1,15}, {3,16}, {7,18}, {6,20}, {3,17}, {5,19}, {9,27}, {6,27}, {2,15}, {8,12}, {6,21}, {3,18}, {5,30}, {10,29}, {7,21}, {10,24}, {9,13}, {9,22}, {1,28}, {2,17}, {1,19}, {10,28}, {6,11}, {10,22}, {4,26}, {2,13}, {4,14}, {1,23}, {4,19}, {7,24}, {9,17}, {7,26} }; // ETB30.9 (= ET30.15) // Bipartite(10,20) Valencies [6,3] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122880 EdgesBipt[30][9]:={ {5,12}, {1,26}, {1,14}, {7,11}, {9,23}, {1,24}, {2,26}, {5,29}, {8,11}, {8,21}, {6,12}, {3,27}, {6,30}, {5,15}, {8,24}, {3,23}, {3,20}, {4,30}, {8,27}, {10,13}, {4,18}, {2,16}, {5,25}, {10,16}, {1,15}, {9,24}, {1,16}, {10,23}, {10,26}, {7,18}, {6,20}, {3,17}, {5,19}, {2,18}, {9,12}, {4,20}, {7,15}, {3,30}, {6,21}, {7,25}, {10,29}, {7,21}, {9,13}, {4,28}, {2,27}, {9,22}, {2,28}, {10,19}, {6,22}, {2,17}, {7,28}, {9,14}, {3,13}, {8,14}, {6,11}, {4,19}, {5,22}, {1,25}, {8,17}, {4,29} }; // ETB30.10 (= ET30.16) // Bipartite(12,18) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[30][10]:={ {3,22}, {4,24}, {8,19}, {10,15}, {4,23}, {1,14}, {10,27}, {1,24}, {12,18}, {2,30}, {1,30}, {9,25}, {5,29}, {11,17}, {7,23}, {9,21}, {5,27}, {6,26}, {12,16}, {11,20}, {11,29}, {9,15}, {1,20}, {3,24}, {7,30}, {2,21}, {5,16}, {8,27}, {7,27}, {10,16}, {3,16}, {3,28}, {2,20}, {10,23}, {7,18}, {5,19}, {2,18}, {3,25}, {4,21}, {4,20}, {7,15}, {8,13}, {10,14}, {3,14}, {12,29}, {7,21}, {8,22}, {11,13}, {4,25}, {6,22}, {2,19}, {2,17}, {5,18}, {1,13}, {8,14}, {11,26}, {9,26}, {4,26}, {12,28}, {6,28}, {10,25}, {9,28}, {1,23}, {12,15}, {8,30}, {11,19}, {12,17}, {6,29}, {5,22}, {6,13}, {9,17}, {6,24} }; // ETB30.11 (= ET30.17) // Bipartite(12,18) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[30][11]:={ {2,14}, {4,13}, {12,27}, {8,28}, {4,23}, {1,14}, {1,29}, {2,24}, {9,21}, {8,16}, {11,24}, {8,21}, {11,20}, {6,30}, {5,15}, {3,23}, {3,29}, {11,21}, {7,30}, {4,30}, {5,16}, {6,16}, {5,20}, {7,27}, {5,25}, {9,24}, {3,16}, {3,28}, {10,26}, {5,19}, {3,25}, {4,20}, {7,15}, {5,17}, {6,27}, {2,15}, {6,21}, {12,19}, {12,24}, {1,18}, {3,26}, {7,22}, {10,29}, {12,29}, {4,15}, {1,27}, {11,13}, {12,25}, {6,19}, {9,22}, {2,28}, {10,17}, {12,22}, {1,13}, {8,18}, {8,14}, {7,17}, {9,30}, {10,22}, {9,26}, {4,26}, {2,13}, {2,25}, {9,28}, {1,23}, {7,14}, {11,19}, {10,20}, {11,18}, {8,17}, {6,23}, {10,18} }; // ETB30.12 (= ET30.18) // Bipartite(12,18) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[30][12]:={ {4,13}, {12,27}, {9,19}, {1,14}, {9,23}, {11,15}, {8,20}, {2,26}, {9,25}, {2,24}, {9,16}, {8,16}, {6,26}, {11,24}, {12,16}, {8,21}, {3,21}, {8,15}, {3,27}, {10,30}, {12,30}, {6,30}, {3,24}, {3,29}, {11,21}, {4,30}, {5,16}, {5,23}, {7,27}, {2,20}, {7,18}, {5,19}, {4,27}, {3,25}, {2,18}, {4,20}, {3,19}, {5,17}, {7,15}, {8,13}, {7,25}, {10,29}, {12,26}, {4,15}, {1,17}, {4,22}, {9,22}, {1,28}, {8,26}, {10,17}, {12,22}, {5,14}, {2,17}, {2,23}, {1,13}, {5,13}, {10,28}, {1,22}, {6,28}, {9,28}, {7,14}, {11,19}, {10,20}, {11,18}, {11,14}, {6,29}, {1,25}, {6,23}, {10,18}, {6,24}, {12,21}, {7,29} }; // ETB30.13 (= ET30.19) // Bipartite(12,18) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 35831808 EdgesBipt[30][13]:={ {3,22}, {11,30}, {1,26}, {2,14}, {4,23}, {1,14}, {8,20}, {2,26}, {5,24}, {12,18}, {5,29}, {11,17}, {9,21}, {9,16}, {11,24}, {8,21}, {3,21}, {8,15}, {3,27}, {7,13}, {11,29}, {12,30}, {9,15}, {6,30}, {1,20}, {11,23}, {4,16}, {2,21}, {8,27}, {5,23}, {10,16}, {3,16}, {3,28}, {2,20}, {10,23}, {3,15}, {9,27}, {5,17}, {2,15}, {12,13}, {12,19}, {12,24}, {4,17}, {7,25}, {5,30}, {10,29}, {7,20}, {4,28}, {2,27}, {7,19}, {6,18}, {4,22}, {12,25}, {6,19}, {9,22}, {8,26}, {10,17}, {5,18}, {6,25}, {1,13}, {8,14}, {1,19}, {10,28}, {10,22}, {9,28}, {7,14}, {11,18}, {1,25}, {6,13}, {6,24}, {7,26}, {4,29} }; // ETB30.14 (= ET30.20) // Bipartite(12,18) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2359296 EdgesBipt[30][14]:={ {11,30}, {4,13}, {12,27}, {1,14}, {8,20}, {1,24}, {12,18}, {2,30}, {2,29}, {9,25}, {9,20}, {11,17}, {2,24}, {7,23}, {9,16}, {6,14}, {11,28}, {8,21}, {8,15}, {3,27}, {7,13}, {8,24}, {4,16}, {8,29}, {3,29}, {3,20}, {11,21}, {2,21}, {5,21}, {9,29}, {10,13}, {10,16}, {1,15}, {3,16}, {2,20}, {10,26}, {5,19}, {5,28}, {3,25}, {9,27}, {7,15}, {5,17}, {12,23}, {6,27}, {2,15}, {12,14}, {3,18}, {12,19}, {4,17}, {5,30}, {7,22}, {6,18}, {4,22}, {4,25}, {6,19}, {9,18}, {10,17}, {5,26}, {1,13}, {10,22}, {11,26}, {4,26}, {12,28}, {1,22}, {6,28}, {10,25}, {1,23}, {7,14}, {8,30}, {11,19}, {6,23}, {7,24} }; // ETB30.15 (= ET30.21) // Bipartite(12,18) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2239488 EdgesBipt[30][15]:={ {2,14}, {4,24}, {10,15}, {9,23}, {10,27}, {8,20}, {2,26}, {1,29}, {11,25}, {5,27}, {12,16}, {3,21}, {11,20}, {3,27}, {7,13}, {5,15}, {8,24}, {4,16}, {6,15}, {7,30}, {4,30}, {5,16}, {5,21}, {9,29}, {4,18}, {2,16}, {9,24}, {2,20}, {3,15}, {10,26}, {7,18}, {5,28}, {3,25}, {3,19}, {10,14}, {12,23}, {6,27}, {6,21}, {7,25}, {12,29}, {4,28}, {11,13}, {1,17}, {7,19}, {4,22}, {2,28}, {8,26}, {9,18}, {12,22}, {3,13}, {6,17}, {1,13}, {8,18}, {8,14}, {1,19}, {9,30}, {11,26}, {10,21}, {12,28}, {1,23}, {8,30}, {11,19}, {10,20}, {12,17}, {11,14}, {6,29}, {1,25}, {5,22}, {6,23}, {2,22}, {7,24}, {9,17} }; // ETB30.16 (= ET30.22) // Bipartite(12,18) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 221184 EdgesBipt[30][16]:={ {1,26}, {12,20}, {12,27}, {8,19}, {10,15}, {11,16}, {8,28}, {9,23}, {11,15}, {12,18}, {1,30}, {2,29}, {11,17}, {11,25}, {2,24}, {9,21}, {5,27}, {8,16}, {6,14}, {6,26}, {11,24}, {3,21}, {3,27}, {7,13}, {8,25}, {4,16}, {3,24}, {4,30}, {5,16}, {5,23}, {7,27}, {5,25}, {2,20}, {10,23}, {3,15}, {7,18}, {6,20}, {1,21}, {4,21}, {4,20}, {3,30}, {8,13}, {10,14}, {2,15}, {3,18}, {12,19}, {7,22}, {12,29}, {8,22}, {10,24}, {9,13}, {1,17}, {4,25}, {9,22}, {10,19}, {1,28}, {5,14}, {5,18}, {9,14}, {6,17}, {7,17}, {1,19}, {9,30}, {10,28}, {11,26}, {12,28}, {2,13}, {6,29}, {6,23}, {2,22}, {7,26}, {4,29} }; // ETB30.17 (= ET30.23) // Bipartite(15,15) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1440 EdgesBipt[30][17]:={ {14,21}, {15,23}, {11,17}, {8,24}, {10,22}, {11,23}, {2,22}, {4,27}, {10,27}, {11,29}, {13,24}, {14,18}, {1,25}, {4,16}, {12,17}, {9,19}, {13,27}, {9,21}, {12,18}, {3,30}, {15,29}, {12,25}, {2,18}, {5,26}, {4,26}, {13,20}, {15,28}, {10,30}, {1,29}, {3,18}, {8,22}, {13,16}, {14,16}, {1,17}, {10,25}, {14,30}, {6,21}, {2,17}, {4,29}, {7,25}, {10,24}, {7,20}, {8,26}, {3,23}, {8,17}, {5,29}, {3,27}, {14,26}, {15,19}, {12,28}, {7,30}, {9,25}, {13,22}, {12,24}, {12,23}, {5,22}, {6,19}, {15,21}, {6,30}, {15,18}, {10,28}, {8,27}, {11,19}, {5,20}, {9,28}, {3,28}, {3,26}, {5,17}, {9,24}, {8,23}, {7,16}, {6,16}, {1,20}, {7,22}, {2,26}, {11,20}, {7,21}, {14,29}, {2,25}, {6,27}, {13,19}, {4,23}, {11,24}, {5,16}, {2,30}, {1,21}, {1,18}, {4,19}, {9,20}, {6,28} }; // ETB30.18 (= ET30.24) // Bipartite(15,15) Valencies [6,6] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 1209323520 EdgesBipt[30][18]:={ {1,26}, {12,20}, {12,27}, {8,19}, {11,16}, {8,28}, {13,19}, {13,28}, {10,27}, {5,24}, {2,30}, {9,25}, {5,29}, {9,20}, {14,26}, {9,21}, {9,16}, {5,27}, {8,23}, {6,26}, {11,28}, {15,24}, {12,30}, {15,29}, {15,27}, {8,24}, {3,23}, {11,23}, {4,16}, {3,24}, {8,29}, {3,29}, {11,21}, {13,18}, {7,30}, {4,30}, {6,16}, {7,27}, {1,16}, {3,28}, {2,20}, {15,19}, {5,19}, {1,21}, {4,21}, {4,20}, {3,19}, {5,17}, {6,21}, {3,18}, {15,17}, {7,25}, {1,18}, {7,22}, {10,29}, {10,24}, {7,20}, {13,23}, {2,27}, {6,18}, {12,25}, {4,25}, {14,21}, {10,19}, {1,28}, {10,17}, {12,22}, {2,17}, {13,24}, {13,29}, {14,20}, {8,18}, {7,17}, {9,30}, {10,22}, {11,26}, {9,26}, {4,26}, {6,28}, {2,25}, {1,23}, {11,18}, {12,17}, {14,25}, {5,22}, {14,16}, {6,23}, {2,22}, {14,30}, {15,22} }; // ETB30.19 (= ET30.26) // Bipartite(15,15) Valencies [7,7] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 40320 EdgesBipt[30][19]:={ {10,21}, {14,25}, {11,17}, {8,24}, {12,26}, {10,22}, {11,23}, {6,18}, {12,19}, {2,22}, {5,30}, {12,16}, {6,17}, {4,27}, {10,27}, {11,29}, {14,19}, {14,18}, {5,24}, {13,27}, {9,21}, {15,29}, {2,28}, {2,19}, {4,26}, {13,20}, {10,23}, {15,28}, {3,19}, {1,29}, {8,22}, {12,21}, {12,30}, {15,22}, {7,26}, {14,30}, {2,17}, {8,18}, {4,28}, {10,16}, {4,29}, {9,23}, {7,20}, {8,26}, {5,29}, {11,28}, {3,27}, {4,30}, {1,19}, {15,19}, {7,30}, {4,21}, {13,30}, {9,25}, {4,25}, {10,29}, {11,26}, {13,22}, {12,24}, {15,26}, {12,23}, {2,24}, {5,22}, {14,17}, {2,21}, {6,30}, {8,27}, {15,18}, {7,18}, {14,23}, {5,20}, {9,28}, {3,26}, {13,28}, {8,23}, {15,16}, {6,16}, {9,18}, {10,17}, {1,20}, {1,27}, {7,22}, {3,16}, {8,25}, {3,25}, {13,23}, {11,20}, {7,21}, {3,20}, {14,29}, {2,25}, {3,17}, {6,24}, {6,27}, {9,16}, {13,19}, {7,17}, {11,24}, {5,16}, {1,21}, {1,18}, {5,25}, {9,20}, {1,24}, {6,28} }; // ETB30.20 (= ET30.27) // Bipartite(6,24) Valencies [8,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2293235712 EdgesBipt[30][20]:={ {2,27}, {1,20}, {6,7}, {3,16}, {6,13}, {3,10}, {4,17}, {5,24}, {1,14}, {5,18}, {5,29}, {5,30}, {4,23}, {6,30}, {1,7}, {2,26}, {3,15}, {2,21}, {4,16}, {3,21}, {6,18}, {6,12}, {3,27}, {5,12}, {1,13}, {5,23}, {4,28}, {2,20}, {6,24}, {3,22}, {4,22}, {3,9}, {4,11}, {5,11}, {1,19}, {3,28}, {1,25}, {5,17}, {2,8}, {2,15}, {6,25}, {4,29}, {6,19}, {4,10}, {1,26}, {2,9}, {2,14}, {1,8} }; // ETB30.21 (= ET30.28) // Bipartite(6,24) Valencies [8,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 196608 EdgesBipt[30][21]:={ {5,12}, {4,8}, {2,14}, {4,23}, {2,26}, {3,12}, {5,24}, {1,29}, {2,29}, {5,27}, {6,14}, {6,26}, {4,11}, {4,10}, {3,21}, {6,10}, {5,15}, {3,23}, {3,24}, {3,9}, {6,15}, {4,30}, {5,7}, {4,18}, {2,16}, {1,7}, {3,11}, {3,16}, {3,28}, {2,20}, {5,19}, {1,21}, {4,20}, {6,27}, {5,30}, {1,17}, {4,22}, {2,28}, {6,22}, {2,17}, {5,18}, {6,25}, {1,13}, {1,19}, {1,9}, {2,8}, {1,25}, {6,13} }; // ETB30.22 (= ET30.29) // Bipartite(10,20) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2548039680 EdgesBipt[30][22]:={ {5,12}, {1,26}, {4,13}, {8,28}, {4,23}, {1,14}, {9,23}, {10,27}, {1,24}, {5,24}, {1,29}, {2,30}, {9,25}, {5,29}, {9,20}, {7,12}, {5,27}, {8,16}, {8,23}, {6,14}, {6,26}, {8,11}, {8,21}, {3,21}, {9,15}, {3,23}, {10,12}, {2,12}, {4,30}, {7,30}, {6,16}, {7,27}, {4,18}, {3,11}, {3,16}, {3,28}, {2,20}, {1,16}, {5,19}, {1,21}, {4,20}, {5,17}, {7,15}, {8,13}, {10,14}, {2,15}, {6,21}, {3,18}, {7,25}, {3,26}, {7,22}, {10,29}, {10,24}, {4,15}, {7,20}, {4,28}, {9,13}, {2,27}, {4,25}, {6,19}, {10,19}, {8,26}, {9,18}, {10,17}, {5,14}, {2,17}, {3,13}, {8,18}, {1,19}, {7,17}, {9,30}, {6,11}, {10,22}, {2,25}, {9,28}, {1,11}, {5,22}, {6,29}, {2,22}, {6,24} }; // ETB30.23 (= ET30.30) // Bipartite(10,20) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 955514880 EdgesBipt[30][23]:={ {3,22}, {1,26}, {4,13}, {10,15}, {4,23}, {1,14}, {1,24}, {3,12}, {5,24}, {1,29}, {2,30}, {9,25}, {5,29}, {9,20}, {9,21}, {9,16}, {7,12}, {8,16}, {6,14}, {8,11}, {4,11}, {8,21}, {3,27}, {10,30}, {9,15}, {5,15}, {3,23}, {9,11}, {4,16}, {2,12}, {8,27}, {5,20}, {7,27}, {10,13}, {4,18}, {5,25}, {1,16}, {3,28}, {2,20}, {10,23}, {3,17}, {5,19}, {1,21}, {4,21}, {2,15}, {8,12}, {3,18}, {5,30}, {7,22}, {8,22}, {4,28}, {2,27}, {7,19}, {6,18}, {6,19}, {8,26}, {5,14}, {2,17}, {3,13}, {1,19}, {7,17}, {9,30}, {10,28}, {9,26}, {4,26}, {6,28}, {2,25}, {10,25}, {7,14}, {10,20}, {1,11}, {6,29}, {8,17}, {6,23}, {2,22}, {6,13}, {7,24}, {10,18}, {6,24}, {7,29} }; // ETB30.24 (= ET30.31) // Bipartite(10,20) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[30][24]:={ {5,12}, {10,15}, {1,14}, {8,20}, {1,24}, {1,29}, {9,25}, {5,29}, {7,23}, {9,21}, {9,16}, {7,12}, {8,16}, {8,23}, {6,14}, {4,11}, {7,13}, {10,30}, {9,15}, {5,15}, {8,24}, {3,23}, {9,11}, {4,16}, {10,12}, {3,24}, {2,12}, {3,20}, {5,20}, {7,27}, {5,25}, {3,16}, {7,18}, {5,19}, {4,27}, {1,21}, {2,18}, {4,21}, {9,27}, {3,30}, {8,13}, {3,14}, {6,21}, {4,17}, {5,30}, {3,26}, {1,18}, {7,22}, {10,29}, {4,15}, {2,27}, {6,18}, {4,25}, {6,19}, {2,28}, {10,19}, {1,28}, {8,26}, {2,17}, {7,28}, {3,13}, {2,23}, {8,14}, {1,19}, {7,17}, {6,11}, {10,22}, {9,26}, {4,26}, {2,13}, {6,28}, {10,25}, {8,30}, {10,20}, {1,11}, {6,29}, {5,22}, {2,22}, {9,17}, {6,24} }; // ETB30.25 (= ET30.32) // Bipartite(10,20) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 40960 EdgesBipt[30][25]:={ {2,11}, {4,13}, {10,15}, {4,23}, {9,19}, {5,24}, {1,30}, {2,29}, {9,25}, {9,16}, {5,27}, {6,14}, {8,11}, {8,21}, {8,15}, {3,27}, {8,25}, {9,15}, {6,30}, {1,20}, {8,24}, {10,12}, {2,12}, {3,29}, {3,20}, {4,30}, {2,21}, {5,16}, {5,23}, {4,12}, {7,27}, {9,29}, {10,13}, {10,16}, {3,16}, {10,23}, {10,26}, {7,18}, {6,20}, {3,17}, {2,18}, {1,21}, {4,20}, {3,19}, {3,30}, {5,17}, {7,15}, {8,12}, {6,21}, {7,25}, {1,18}, {3,26}, {8,22}, {1,27}, {1,17}, {4,22}, {2,28}, {2,19}, {1,28}, {9,18}, {5,14}, {7,28}, {5,26}, {8,14}, {5,13}, {7,17}, {6,11}, {10,22}, {9,26}, {10,25}, {9,28}, {7,14}, {4,19}, {1,11}, {6,23}, {2,22}, {6,13}, {7,24}, {6,24}, {4,29} }; // ETB30.26 (= ET30.33) // Bipartite(14,16) Valencies [8,7] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2688 EdgesBipt[30][26]:={ {1,15}, {7,19}, {11,15}, {13,29}, {14,25}, {3,15}, {10,22}, {11,23}, {6,18}, {12,19}, {3,29}, {5,30}, {4,27}, {6,17}, {11,29}, {4,16}, {6,25}, {9,19}, {13,27}, {3,30}, {11,22}, {12,27}, {7,23}, {7,15}, {2,28}, {2,18}, {5,26}, {4,26}, {9,17}, {10,18}, {13,20}, {10,23}, {2,29}, {3,19}, {14,27}, {8,22}, {12,21}, {13,16}, {4,20}, {9,27}, {2,23}, {8,28}, {1,17}, {13,26}, {2,16}, {14,30}, {6,21}, {8,18}, {4,28}, {14,28}, {10,24}, {5,15}, {7,20}, {3,27}, {14,26}, {11,18}, {12,28}, {4,21}, {4,17}, {12,29}, {9,25}, {4,25}, {9,15}, {1,26}, {8,19}, {13,22}, {12,24}, {12,23}, {5,22}, {6,19}, {1,23}, {2,21}, {14,22}, {6,30}, {10,28}, {11,19}, {7,18}, {8,16}, {5,17}, {9,24}, {8,20}, {7,16}, {3,21}, {11,30}, {10,17}, {1,27}, {3,16}, {8,25}, {3,25}, {13,23}, {2,26}, {7,21}, {13,15}, {14,29}, {10,20}, {6,24}, {5,18}, {10,26}, {7,17}, {11,24}, {1,30}, {5,16}, {2,30}, {1,21}, {12,20}, {5,25}, {14,24}, {9,20}, {1,24}, {8,29}, {9,22}, {6,28} }; // ETB30.27 (= ET30.34) // Bipartite(14,16) Valencies [8,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 344064 EdgesBipt[30][27]:={ {1,15}, {7,19}, {11,15}, {13,29}, {14,25}, {11,17}, {12,26}, {10,22}, {11,23}, {3,29}, {2,22}, {12,16}, {4,27}, {13,18}, {7,24}, {11,29}, {13,24}, {14,19}, {12,22}, {7,27}, {9,19}, {9,21}, {12,18}, {14,20}, {2,18}, {5,26}, {4,26}, {6,22}, {10,23}, {2,29}, {10,30}, {14,27}, {8,22}, {8,15}, {12,30}, {13,16}, {5,23}, {9,27}, {7,26}, {8,28}, {10,25}, {13,26}, {14,30}, {1,16}, {6,21}, {8,21}, {2,17}, {10,15}, {10,16}, {7,25}, {14,28}, {10,24}, {5,15}, {4,30}, {1,19}, {12,28}, {5,28}, {4,15}, {6,29}, {12,24}, {6,19}, {14,17}, {1,23}, {2,21}, {14,22}, {6,30}, {11,19}, {7,18}, {5,20}, {9,28}, {4,22}, {3,28}, {3,24}, {5,17}, {11,25}, {8,20}, {8,23}, {7,16}, {9,26}, {6,16}, {11,21}, {3,21}, {9,18}, {10,17}, {11,27}, {13,21}, {1,20}, {1,27}, {3,16}, {4,18}, {9,29}, {3,25}, {13,23}, {2,26}, {3,20}, {13,15}, {2,25}, {1,28}, {3,17}, {6,24}, {5,18}, {8,30}, {6,27}, {7,17}, {4,23}, {2,30}, {12,20}, {5,25}, {4,19}, {9,20}, {1,24}, {8,29} }; // ETB30.28 (= ET30.35) // Bipartite(15,15) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 40320 EdgesBipt[30][28]:={ {10,19}, {13,25}, {14,21}, {13,29}, {14,25}, {15,23}, {8,24}, {12,26}, {10,22}, {6,18}, {9,30}, {12,19}, {2,22}, {5,30}, {4,27}, {6,17}, {12,16}, {7,24}, {2,20}, {13,24}, {14,18}, {12,17}, {6,25}, {7,27}, {9,21}, {11,16}, {12,18}, {7,23}, {15,29}, {2,28}, {14,20}, {2,19}, {5,26}, {9,17}, {6,22}, {5,21}, {10,23}, {15,28}, {10,30}, {3,19}, {1,29}, {3,18}, {12,21}, {13,16}, {4,20}, {7,26}, {8,28}, {15,25}, {1,22}, {1,16}, {2,17}, {10,16}, {4,29}, {9,23}, {5,19}, {8,26}, {15,20}, {3,23}, {8,17}, {5,29}, {11,28}, {3,27}, {4,30}, {14,26}, {11,18}, {7,30}, {12,29}, {1,26}, {13,22}, {2,24}, {5,22}, {2,27}, {15,21}, {2,21}, {14,22}, {5,27}, {6,30}, {10,28}, {11,19}, {14,23}, {9,28}, {3,28}, {3,26}, {11,25}, {8,20}, {15,16}, {7,16}, {6,20}, {6,16}, {11,21}, {11,30}, {9,18}, {1,27}, {15,27}, {4,18}, {8,25}, {3,25}, {9,29}, {13,23}, {13,17}, {7,21}, {1,28}, {3,17}, {10,20}, {8,30}, {10,26}, {6,27}, {13,19}, {7,17}, {4,23}, {11,24}, {1,18}, {12,20}, {5,25}, {4,19}, {14,24}, {4,24}, {1,24}, {8,29}, {9,22} }; // ETB30.29 (= ET30.36) // Bipartite(15,15) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1440 EdgesBipt[30][29]:={ {13,25}, {14,21}, {10,21}, {13,29}, {14,25}, {15,23}, {8,24}, {10,22}, {6,18}, {9,30}, {3,29}, {13,18}, {10,27}, {6,23}, {14,19}, {1,25}, {4,16}, {12,17}, {12,22}, {5,24}, {7,27}, {9,19}, {13,27}, {11,16}, {3,30}, {7,23}, {2,28}, {5,26}, {4,26}, {9,17}, {10,18}, {6,22}, {13,20}, {5,21}, {10,23}, {15,28}, {3,19}, {1,29}, {3,18}, {12,30}, {13,16}, {4,20}, {15,22}, {7,26}, {14,16}, {10,25}, {13,26}, {2,16}, {1,22}, {14,30}, {1,16}, {2,17}, {7,29}, {4,29}, {3,22}, {14,28}, {9,23}, {5,19}, {7,20}, {8,26}, {15,20}, {8,17}, {11,28}, {14,26}, {12,28}, {15,19}, {4,21}, {5,28}, {12,29}, {4,25}, {8,19}, {13,22}, {6,29}, {12,24}, {12,23}, {2,24}, {2,27}, {6,19}, {14,17}, {1,23}, {2,21}, {5,27}, {6,30}, {8,27}, {15,18}, {11,19}, {9,28}, {8,16}, {5,17}, {3,24}, {11,25}, {7,16}, {11,21}, {11,30}, {9,18}, {11,27}, {1,27}, {7,22}, {4,18}, {8,25}, {9,29}, {2,26}, {15,17}, {3,20}, {7,21}, {3,17}, {10,20}, {6,24}, {8,30}, {10,26}, {4,23}, {11,24}, {2,30}, {1,21}, {12,20}, {1,18}, {15,24}, {5,25}, {9,20}, {6,28} }; // ETB30.30 (= ET30.41) // Bipartite(12,18) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1451188224 EdgesBipt[30][30]:={ {1,15}, {10,19}, {9,13}, {11,15}, {11,17}, {3,15}, {8,24}, {10,22}, {11,23}, {9,30}, {3,29}, {2,22}, {6,14}, {5,30}, {12,16}, {11,29}, {2,20}, {1,25}, {4,16}, {6,13}, {12,17}, {12,22}, {5,24}, {6,25}, {7,27}, {9,19}, {9,21}, {12,18}, {7,23}, {7,15}, {5,13}, {2,28}, {2,19}, {6,22}, {5,21}, {8,22}, {12,30}, {2,14}, {9,27}, {7,26}, {8,28}, {10,25}, {2,16}, {10,13}, {8,18}, {4,28}, {7,29}, {3,14}, {2,13}, {10,16}, {4,29}, {5,19}, {5,15}, {7,20}, {3,23}, {8,17}, {7,14}, {3,27}, {4,30}, {6,26}, {1,19}, {12,28}, {4,17}, {12,29}, {9,25}, {9,15}, {11,26}, {11,14}, {12,24}, {12,23}, {6,19}, {5,27}, {10,28}, {4,22}, {10,14}, {3,26}, {8,16}, {9,24}, {8,23}, {11,21}, {6,20}, {6,16}, {3,21}, {9,18}, {11,27}, {1,27}, {1,13}, {4,18}, {2,26}, {11,20}, {7,21}, {3,20}, {2,25}, {3,17}, {10,20}, {5,18}, {8,30}, {10,26}, {7,17}, {4,23}, {1,30}, {1,21}, {1,18}, {5,25}, {4,24}, {1,24}, {8,29}, {6,28} }; // ETB30.31 (= ET30.43) // Bipartite(5,25) Valencies [10,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 248832000000 EdgesBipt[30][31]:={ {5,12}, {1,26}, {4,8}, {4,13}, {4,23}, {1,14}, {1,24}, {5,24}, {1,29}, {2,30}, {5,29}, {2,10}, {5,27}, {4,10}, {3,21}, {1,6}, {3,23}, {3,8}, {2,12}, {4,30}, {5,9}, {5,7}, {4,18}, {2,7}, {3,11}, {3,16}, {3,28}, {2,20}, {1,16}, {5,19}, {1,21}, {4,20}, {5,17}, {2,15}, {3,18}, {3,26}, {4,15}, {4,28}, {2,27}, {3,6}, {4,25}, {5,14}, {2,17}, {3,13}, {1,19}, {1,9}, {2,25}, {1,11}, {5,22}, {2,22} }; // ETB30.32 (= ET30.44) // Bipartite(15,15) Valencies [10,10] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 35831808000000 EdgesBipt[30][32]:={ {11,17}, {10,25}, {5,17}, {10,24}, {11,20}, {4,27}, {12,29}, {13,21}, {14,19}, {4,24}, {15,24}, {4,16}, {4,30}, {11,25}, {6,17}, {2,23}, {8,28}, {1,27}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {1,30}, {14,28}, {13,16}, {10,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {15,29}, {6,21}, {14,23}, {2,25}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {5,25}, {15,26}, {11,22}, {7,25}, {10,28}, {1,22}, {15,27}, {6,30}, {5,23}, {4,21}, {3,20}, {13,22}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {7,30}, {8,17}, {2,16}, {7,16}, {11,23}, {11,29}, {6,24}, {8,22}, {13,25}, {15,20}, {13,28}, {9,20}, {1,28}, {3,27}, {4,28}, {15,17}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {13,30}, {2,17}, {12,27}, {14,17}, {1,24}, {12,23}, {14,22}, {13,24}, {6,27}, {6,26}, {12,30}, {3,23}, {8,23}, {3,21}, {1,25}, {9,30}, {13,27}, {14,20}, {15,21}, {14,25}, {7,28}, {11,26}, {15,18}, {11,16}, {13,19}, {3,30}, {9,18}, {3,24}, {2,29}, {10,27}, {2,22}, {1,16}, {9,17}, {10,18}, {5,26}, {4,18}, {11,19}, {10,19}, {4,25}, {12,24}, {8,20}, {7,27}, {15,23}, {7,24}, {9,24}, {5,19}, {6,20}, {15,30}, {7,19}, {9,21}, {9,23}, {7,21}, {8,29}, {12,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB30.33 (= ET30.46) // Bipartite(6,24) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6449725440000 EdgesBipt[30][33]:={ {4,8}, {4,24}, {1,24}, {2,29}, {5,29}, {2,24}, {6,14}, {6,26}, {4,10}, {5,10}, {3,21}, {3,27}, {6,10}, {6,30}, {1,20}, {1,12}, {3,23}, {4,16}, {3,9}, {2,12}, {6,7}, {3,29}, {6,15}, {4,30}, {5,9}, {2,21}, {5,21}, {4,12}, {4,18}, {2,16}, {1,7}, {5,25}, {1,15}, {3,11}, {1,16}, {3,7}, {2,20}, {3,15}, {3,17}, {3,25}, {4,20}, {3,19}, {5,17}, {6,27}, {5,30}, {1,27}, {4,28}, {4,22}, {6,18}, {6,19}, {2,28}, {6,22}, {1,28}, {5,14}, {2,17}, {5,18}, {3,13}, {5,26}, {1,8}, {5,13}, {2,9}, {1,19}, {6,11}, {4,26}, {2,13}, {2,25}, {2,8}, {4,14}, {1,23}, {1,11}, {5,22}, {6,23} }; // ETB30.34 (= ET30.47) // Bipartite(6,24) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 80621568 EdgesBipt[30][34]:={ {1,26}, {2,14}, {4,13}, {1,24}, {3,12}, {2,26}, {5,24}, {2,30}, {5,29}, {2,10}, {5,27}, {1,10}, {6,14}, {6,26}, {4,11}, {3,27}, {5,11}, {6,10}, {6,30}, {5,15}, {3,23}, {3,9}, {2,12}, {3,20}, {5,8}, {4,30}, {5,16}, {5,23}, {6,16}, {5,21}, {4,12}, {5,7}, {1,7}, {1,15}, {3,11}, {1,16}, {3,7}, {3,28}, {2,20}, {3,15}, {3,17}, {5,19}, {2,18}, {3,25}, {4,27}, {4,21}, {4,20}, {3,19}, {6,21}, {1,18}, {4,28}, {1,17}, {4,22}, {6,18}, {2,28}, {6,22}, {2,17}, {1,8}, {2,9}, {5,13}, {1,9}, {2,25}, {4,14}, {1,23}, {4,19}, {1,25}, {6,29}, {2,22}, {6,13}, {6,8}, {6,24}, {4,29} }; // ETB30.35 (= ET30.48) // Bipartite(10,20) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 955514880 EdgesBipt[30][35]:={ {1,15}, {9,13}, {10,19}, {6,12}, {5,14}, {3,15}, {8,24}, {10,22}, {4,14}, {4,27}, {6,17}, {10,27}, {2,11}, {2,20}, {1,25}, {9,12}, {5,24}, {6,25}, {7,27}, {9,21}, {3,30}, {7,23}, {7,15}, {5,13}, {2,19}, {2,15}, {5,26}, {8,14}, {9,17}, {10,18}, {6,22}, {5,21}, {10,23}, {2,29}, {1,29}, {4,12}, {3,18}, {8,22}, {7,28}, {2,14}, {5,23}, {3,11}, {4,20}, {6,11}, {9,27}, {3,13}, {2,16}, {10,12}, {6,21}, {10,13}, {8,21}, {4,29}, {7,25}, {5,19}, {9,23}, {10,24}, {7,20}, {8,26}, {7,13}, {8,17}, {3,23}, {5,29}, {4,30}, {6,26}, {6,15}, {1,19}, {8,11}, {7,30}, {4,17}, {5,28}, {4,15}, {4,25}, {10,29}, {8,19}, {2,24}, {1,23}, {2,21}, {6,30}, {8,27}, {10,28}, {7,18}, {4,22}, {9,28}, {10,14}, {3,28}, {3,26}, {8,16}, {6,16}, {6,20}, {9,26}, {3,21}, {1,14}, {9,18}, {10,17}, {1,20}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {3,25}, {2,26}, {3,20}, {2,25}, {1,28}, {5,18}, {6,27}, {9,16}, {7,17}, {1,30}, {5,16}, {7,12}, {2,30}, {1,18}, {4,19}, {4,24}, {8,12}, {1,24}, {8,29}, {9,22} }; // ETB30.36 (= ET30.49) // Bipartite(10,20) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[30][36]:={ {1,15}, {7,19}, {6,12}, {5,14}, {10,21}, {3,15}, {10,22}, {6,18}, {4,14}, {9,30}, {3,29}, {10,27}, {7,24}, {6,23}, {2,20}, {1,25}, {6,13}, {9,12}, {5,24}, {6,25}, {7,27}, {9,21}, {3,30}, {5,13}, {2,28}, {2,19}, {2,18}, {5,26}, {8,13}, {6,22}, {5,21}, {10,23}, {2,29}, {3,19}, {1,29}, {4,12}, {8,15}, {7,28}, {2,14}, {5,23}, {3,11}, {4,20}, {7,26}, {3,13}, {2,16}, {10,12}, {1,22}, {1,16}, {10,13}, {2,17}, {8,21}, {4,28}, {7,29}, {1,12}, {10,16}, {10,24}, {7,20}, {3,23}, {8,17}, {7,14}, {3,27}, {4,30}, {6,26}, {6,15}, {1,19}, {8,11}, {7,30}, {4,21}, {9,25}, {4,15}, {4,25}, {9,15}, {1,26}, {8,19}, {6,29}, {2,24}, {4,11}, {5,22}, {2,27}, {6,19}, {1,23}, {5,27}, {8,27}, {7,18}, {4,22}, {9,28}, {10,14}, {5,17}, {9,24}, {8,20}, {8,23}, {7,16}, {6,16}, {3,21}, {9,18}, {10,17}, {9,11}, {5,11}, {1,13}, {4,18}, {3,25}, {8,25}, {2,26}, {3,20}, {5,12}, {9,14}, {1,28}, {3,17}, {8,30}, {10,26}, {7,17}, {5,16}, {2,30}, {10,11}, {1,18}, {4,24}, {9,20}, {8,29}, {6,28}, {9,22} }; // ETB30.37 (= ET30.50) // Bipartite(10,20) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122880 EdgesBipt[30][37]:={ {7,19}, {5,14}, {10,22}, {6,18}, {1,11}, {9,30}, {3,29}, {6,14}, {5,30}, {4,27}, {6,17}, {10,27}, {2,11}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {5,24}, {6,25}, {7,27}, {9,19}, {9,21}, {5,13}, {2,19}, {2,15}, {5,26}, {4,26}, {8,13}, {9,17}, {10,18}, {5,21}, {2,29}, {3,19}, {10,30}, {1,29}, {4,12}, {3,18}, {8,22}, {8,15}, {2,14}, {5,23}, {3,11}, {9,27}, {2,23}, {7,26}, {8,28}, {1,17}, {10,25}, {10,12}, {1,22}, {8,18}, {7,29}, {3,14}, {2,13}, {10,15}, {1,12}, {3,22}, {10,24}, {7,20}, {8,26}, {7,14}, {6,15}, {1,19}, {7,30}, {4,21}, {4,17}, {5,28}, {9,25}, {4,15}, {4,25}, {9,15}, {6,29}, {2,24}, {4,11}, {6,19}, {1,23}, {2,21}, {10,28}, {5,20}, {4,22}, {10,14}, {3,28}, {3,26}, {8,16}, {3,24}, {3,12}, {8,20}, {8,23}, {7,16}, {9,26}, {3,21}, {10,17}, {1,27}, {9,11}, {5,11}, {7,22}, {3,16}, {1,13}, {8,25}, {9,29}, {2,25}, {1,28}, {10,20}, {6,24}, {5,18}, {8,30}, {6,27}, {9,16}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {2,30}, {1,18}, {8,12}, {9,20}, {6,28} }; // ETB30.38 (= ET30.51) // Bipartite(12,18) Valencies [12,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 30958682112000 EdgesBipt[30][38]:={ {9,13}, {10,19}, {7,19}, {11,15}, {5,14}, {3,15}, {11,17}, {8,24}, {10,22}, {6,18}, {11,23}, {4,14}, {9,30}, {12,19}, {5,30}, {12,16}, {11,29}, {2,20}, {1,25}, {4,16}, {6,13}, {12,15}, {12,22}, {5,24}, {6,25}, {9,19}, {9,21}, {12,18}, {3,30}, {12,27}, {7,23}, {12,25}, {2,18}, {2,15}, {5,26}, {4,26}, {8,14}, {6,22}, {5,21}, {10,23}, {2,29}, {3,19}, {1,29}, {3,18}, {8,15}, {7,28}, {12,21}, {12,30}, {2,14}, {5,23}, {4,20}, {9,27}, {2,23}, {7,26}, {1,17}, {3,13}, {10,25}, {1,22}, {1,16}, {6,21}, {10,13}, {2,17}, {8,18}, {8,21}, {4,28}, {7,29}, {4,29}, {10,16}, {7,25}, {3,22}, {5,15}, {7,20}, {8,26}, {7,13}, {8,17}, {5,29}, {7,14}, {3,27}, {6,15}, {1,19}, {11,18}, {12,28}, {4,17}, {9,25}, {4,25}, {9,15}, {10,29}, {1,26}, {11,26}, {11,14}, {12,24}, {2,24}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {6,30}, {8,27}, {10,28}, {5,20}, {4,22}, {9,28}, {10,14}, {3,28}, {3,24}, {5,17}, {9,24}, {8,20}, {8,23}, {7,16}, {6,16}, {11,21}, {3,21}, {1,14}, {11,30}, {9,18}, {10,17}, {11,27}, {1,20}, {7,22}, {3,16}, {1,13}, {3,25}, {2,26}, {11,20}, {1,28}, {10,20}, {6,24}, {5,18}, {8,30}, {10,26}, {6,27}, {9,16}, {7,17}, {4,23}, {11,24}, {4,13}, {2,30}, {4,19}, {12,13}, {8,29}, {6,28}, {9,22} }; // ETB30.39 (= ET30.52) // Bipartite(12,18) Valencies [12,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2359296 EdgesBipt[30][39]:={ {1,15}, {10,19}, {11,15}, {5,14}, {11,17}, {8,24}, {10,22}, {6,18}, {11,23}, {4,14}, {9,30}, {12,19}, {3,29}, {2,22}, {6,14}, {5,30}, {4,27}, {10,27}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {12,15}, {12,14}, {5,24}, {7,27}, {9,19}, {9,21}, {12,18}, {3,30}, {11,22}, {12,27}, {7,15}, {7,23}, {5,13}, {2,15}, {5,26}, {4,26}, {8,13}, {9,17}, {10,18}, {5,21}, {10,23}, {2,29}, {3,19}, {1,29}, {3,18}, {8,22}, {8,15}, {12,21}, {12,30}, {5,23}, {9,27}, {10,25}, {2,16}, {1,22}, {1,16}, {6,21}, {10,13}, {2,17}, {8,21}, {4,28}, {7,29}, {2,13}, {10,16}, {7,25}, {5,19}, {5,15}, {7,20}, {8,26}, {7,13}, {8,17}, {7,14}, {11,28}, {3,27}, {6,15}, {12,28}, {4,17}, {5,28}, {12,29}, {9,25}, {4,25}, {11,26}, {6,29}, {11,14}, {12,24}, {12,23}, {2,24}, {11,13}, {5,22}, {6,19}, {1,23}, {2,21}, {6,30}, {10,28}, {11,19}, {7,18}, {4,22}, {9,28}, {10,14}, {3,28}, {3,26}, {5,17}, {8,16}, {8,20}, {6,20}, {7,16}, {9,26}, {11,21}, {3,21}, {1,14}, {11,30}, {9,18}, {10,17}, {1,20}, {1,27}, {7,22}, {3,16}, {1,13}, {4,18}, {3,25}, {8,25}, {9,29}, {2,26}, {3,20}, {2,25}, {3,17}, {6,24}, {8,30}, {10,26}, {6,27}, {9,16}, {4,23}, {11,24}, {4,13}, {2,30}, {1,18}, {12,20}, {4,19}, {9,20}, {1,24}, {8,29}, {6,28} }; // ETB30.40 (= ET30.53) // Bipartite(12,18) Valencies [12,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 221184 EdgesBipt[30][40]:={ {1,15}, {7,19}, {10,21}, {8,24}, {12,26}, {10,22}, {6,18}, {11,23}, {4,14}, {3,29}, {5,30}, {4,27}, {12,16}, {10,27}, {7,24}, {11,29}, {1,25}, {6,13}, {12,15}, {12,17}, {12,14}, {12,22}, {5,24}, {6,25}, {9,19}, {11,22}, {7,23}, {7,15}, {5,13}, {2,28}, {12,25}, {2,19}, {2,18}, {5,26}, {4,26}, {8,14}, {9,17}, {10,18}, {6,22}, {5,21}, {3,19}, {10,30}, {1,29}, {7,28}, {8,15}, {12,21}, {12,30}, {2,14}, {9,27}, {2,23}, {3,13}, {10,25}, {2,16}, {1,22}, {1,16}, {6,21}, {10,13}, {2,17}, {8,18}, {8,21}, {4,28}, {7,29}, {3,14}, {10,16}, {7,25}, {3,22}, {5,19}, {5,15}, {7,20}, {8,26}, {3,23}, {8,17}, {5,29}, {7,14}, {11,28}, {6,15}, {11,18}, {7,30}, {4,17}, {5,28}, {9,25}, {4,15}, {9,15}, {10,29}, {11,14}, {12,24}, {12,23}, {11,13}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {6,30}, {8,27}, {11,19}, {5,20}, {4,22}, {9,28}, {3,28}, {3,26}, {5,17}, {9,24}, {8,20}, {8,23}, {7,16}, {6,16}, {9,26}, {11,21}, {1,14}, {11,30}, {9,18}, {10,17}, {11,27}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {9,29}, {2,26}, {3,20}, {7,21}, {11,20}, {2,25}, {3,17}, {10,20}, {6,24}, {8,30}, {10,26}, {6,27}, {9,16}, {4,23}, {4,13}, {2,30}, {1,18}, {4,19}, {4,24}, {12,13}, {9,20}, {1,24}, {8,29}, {6,28} }; // ETB30.41 (= ET30.54) // Bipartite(15,15) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1440 EdgesBipt[30][41]:={ {11,17}, {10,25}, {10,24}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {14,19}, {15,24}, {4,30}, {11,25}, {8,30}, {2,23}, {12,22}, {4,29}, {1,27}, {3,25}, {10,23}, {4,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {1,30}, {14,28}, {4,23}, {8,27}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {15,29}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,20}, {14,21}, {9,26}, {9,27}, {12,20}, {9,19}, {5,25}, {15,26}, {7,25}, {10,28}, {14,24}, {1,22}, {6,30}, {5,23}, {10,29}, {4,21}, {13,22}, {15,19}, {10,21}, {2,20}, {14,16}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,26}, {5,18}, {11,23}, {1,23}, {11,29}, {6,24}, {5,30}, {7,17}, {5,24}, {13,23}, {12,28}, {8,22}, {13,28}, {15,20}, {9,20}, {3,27}, {4,28}, {15,17}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {13,30}, {2,17}, {12,27}, {14,17}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {13,24}, {11,24}, {6,27}, {12,19}, {6,26}, {12,30}, {3,23}, {3,21}, {1,25}, {7,29}, {9,30}, {13,27}, {14,20}, {7,28}, {3,16}, {13,26}, {11,26}, {11,16}, {13,19}, {7,23}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {2,22}, {1,16}, {15,22}, {9,17}, {10,18}, {8,24}, {6,25}, {5,26}, {8,18}, {4,18}, {15,28}, {10,19}, {4,25}, {4,20}, {12,24}, {8,20}, {3,28}, {7,27}, {15,23}, {7,24}, {10,20}, {5,19}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {7,19}, {4,17}, {9,21}, {9,16}, {14,27}, {8,29}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB30.42 (= ET30.55) // Bipartite(15,15) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 14511882240 EdgesBipt[30][42]:={ {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {15,24}, {4,26}, {3,22}, {4,16}, {11,25}, {8,30}, {12,22}, {8,28}, {4,29}, {3,25}, {10,23}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {1,30}, {14,28}, {4,23}, {8,27}, {13,16}, {10,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {15,29}, {6,21}, {2,25}, {14,23}, {5,22}, {4,22}, {9,29}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {5,25}, {7,25}, {10,28}, {14,24}, {15,27}, {6,30}, {12,16}, {5,23}, {10,29}, {4,21}, {3,20}, {13,22}, {15,19}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {7,16}, {7,26}, {5,18}, {11,23}, {1,23}, {11,29}, {6,24}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,25}, {8,22}, {13,25}, {13,28}, {15,20}, {1,28}, {3,27}, {4,28}, {15,17}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {13,30}, {2,17}, {12,27}, {14,17}, {8,21}, {1,24}, {14,18}, {14,22}, {11,24}, {12,19}, {6,26}, {12,30}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {13,27}, {3,16}, {11,26}, {13,26}, {15,18}, {11,16}, {2,21}, {3,30}, {9,18}, {10,17}, {2,29}, {10,27}, {1,26}, {2,22}, {1,16}, {15,22}, {9,17}, {10,18}, {6,25}, {5,27}, {8,18}, {4,18}, {15,28}, {11,19}, {10,19}, {12,24}, {8,20}, {3,28}, {7,27}, {15,23}, {7,24}, {9,24}, {10,20}, {5,19}, {6,20}, {2,30}, {13,17}, {15,30}, {13,20}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {11,18}, {12,21}, {14,29}, {14,26} }; // ETB30.43 (= ET30.59) // Bipartite(9,21) Valencies [14,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 165919186944000 EdgesBipt[30][43]:={ {9,13}, {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {9,30}, {5,30}, {2,11}, {2,20}, {1,25}, {4,16}, {6,13}, {9,12}, {5,24}, {6,25}, {9,19}, {9,21}, {3,30}, {7,23}, {3,10}, {9,10}, {2,18}, {2,15}, {5,26}, {4,26}, {8,14}, {7,11}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {3,18}, {7,28}, {8,15}, {7,10}, {2,14}, {5,23}, {4,20}, {9,27}, {2,23}, {1,10}, {7,26}, {1,17}, {3,13}, {1,22}, {1,16}, {6,21}, {2,17}, {8,18}, {8,21}, {4,28}, {7,29}, {4,29}, {7,25}, {3,22}, {5,15}, {7,20}, {8,26}, {7,13}, {8,17}, {5,29}, {7,14}, {3,27}, {6,15}, {1,19}, {8,11}, {4,17}, {9,25}, {4,25}, {9,15}, {1,26}, {2,24}, {4,11}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {6,30}, {8,27}, {2,12}, {4,22}, {5,20}, {9,28}, {3,28}, {3,24}, {5,17}, {9,24}, {3,12}, {8,20}, {8,23}, {7,16}, {6,16}, {3,21}, {1,14}, {9,18}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {3,25}, {2,26}, {5,12}, {1,28}, {6,24}, {5,18}, {8,30}, {6,27}, {9,16}, {7,17}, {4,23}, {4,13}, {2,30}, {4,19}, {4,10}, {8,12}, {8,29}, {6,28}, {9,22} }; // ETB30.44 (= ET30.60) // Bipartite(15,15) Valencies [14,14] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2615348736000 EdgesBipt[30][44]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {15,24}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {8,28}, {4,29}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {1,30}, {14,28}, {4,23}, {8,27}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {15,29}, {6,21}, {2,25}, {14,23}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {9,19}, {14,30}, {5,25}, {15,26}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {15,27}, {6,30}, {12,16}, {5,23}, {10,29}, {4,21}, {3,20}, {13,22}, {15,19}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {5,24}, {13,23}, {12,28}, {12,25}, {13,25}, {13,28}, {15,20}, {1,28}, {3,27}, {4,28}, {15,17}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {13,30}, {2,17}, {12,27}, {8,21}, {3,19}, {1,24}, {14,18}, {14,22}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {13,27}, {14,20}, {15,21}, {14,25}, {11,26}, {13,26}, {15,18}, {11,16}, {7,23}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {15,22}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {15,28}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {15,23}, {7,24}, {9,24}, {10,20}, {5,19}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {8,29}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB30.45 (= ET30.61) // Bipartite(12,18) Valencies [15,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2149908480 EdgesBipt[30][45]:={ {11,17}, {10,25}, {5,17}, {2,24}, {11,20}, {6,16}, {4,27}, {7,15}, {4,26}, {4,16}, {8,30}, {2,23}, {1,13}, {12,22}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {4,19}, {7,22}, {2,19}, {1,19}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {4,23}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {11,15}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {12,13}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,21}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,27}, {4,28}, {10,13}, {3,29}, {3,26}, {5,28}, {8,26}, {12,26}, {6,15}, {2,17}, {9,13}, {12,27}, {3,19}, {1,24}, {6,27}, {11,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {7,28}, {11,26}, {7,23}, {11,16}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {10,19}, {4,25}, {4,20}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {10,20}, {5,15}, {10,14}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB30.46 (= ET30.62) // Bipartite(15,15) Valencies [15,15] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 3420024505448398848000000 EdgesBipt[30][46]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {15,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {8,28}, {4,29}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {1,30}, {14,28}, {4,23}, {8,27}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {15,29}, {6,21}, {2,25}, {14,23}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {15,26}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {15,27}, {6,30}, {12,16}, {5,23}, {10,29}, {4,21}, {3,20}, {13,22}, {15,19}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {4,28}, {15,17}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {13,30}, {2,17}, {12,27}, {14,17}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {13,27}, {14,20}, {15,21}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {15,18}, {11,16}, {7,23}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {15,22}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {15,28}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {15,23}, {7,24}, {9,24}, {10,20}, {5,19}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {8,29}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB30.47 (= ET30.63) // Bipartite(6,24) Valencies [16,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3146319396864000 EdgesBipt[30][47]:={ {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {5,30}, {4,8}, {3,7}, {2,11}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {6,25}, {6,7}, {3,30}, {3,10}, {2,18}, {6,9}, {2,15}, {5,26}, {4,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {3,18}, {2,14}, {5,23}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {1,22}, {1,16}, {6,21}, {2,17}, {4,28}, {3,9}, {4,29}, {3,22}, {5,15}, {5,29}, {3,27}, {6,15}, {1,19}, {4,17}, {4,25}, {2,9}, {1,26}, {2,24}, {4,11}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {1,7}, {6,30}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,24}, {5,17}, {3,12}, {6,16}, {3,21}, {1,14}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {3,25}, {2,26}, {5,12}, {1,28}, {6,24}, {5,18}, {6,27}, {4,23}, {1,8}, {4,13}, {2,30}, {4,19}, {4,10}, {6,28} }; // ETB30.48 (= ET30.64) // Bipartite(10,20) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 30576476160 EdgesBipt[30][48]:={ {1,11}, {2,24}, {5,17}, {10,25}, {6,16}, {4,27}, {7,15}, {4,24}, {4,26}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {1,21}, {8,25}, {2,28}, {2,14}, {8,15}, {6,11}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,26}, {9,27}, {5,11}, {9,19}, {8,14}, {5,25}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {9,25}, {1,12}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {8,13}, {9,20}, {4,15}, {1,28}, {3,11}, {7,14}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {2,17}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {9,12}, {6,19}, {7,29}, {6,28}, {6,14}, {9,30}, {10,11}, {7,28}, {3,16}, {7,23}, {3,30}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {5,27}, {5,26}, {8,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {8,29}, {7,18}, {10,16}, {5,16} }; // ETB30.49 (= ET30.65) // Bipartite(14,16) Valencies [16,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1824013069572479385600000 EdgesBipt[30][49]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {14,19}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {8,28}, {4,29}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {1,30}, {8,15}, {14,28}, {4,23}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {14,23}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {11,15}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {13,22}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {14,15}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {9,20}, {4,15}, {1,28}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {13,30}, {2,17}, {12,27}, {14,17}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {9,30}, {13,27}, {14,20}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {10,20}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {8,29}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB30.50 (= ET30.68) // Bipartite(13,17) Valencies [17,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2214873013052296396800000 EdgesBipt[30][50]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {8,28}, {4,29}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {8,15}, {4,23}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {11,15}, {11,22}, {9,14}, {7,25}, {10,28}, {1,22}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {5,14}, {9,20}, {4,15}, {1,28}, {7,14}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {13,30}, {2,17}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {13,27}, {7,28}, {3,16}, {11,26}, {13,26}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {13,14}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {9,24}, {1,14}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {13,17}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB30.51 (= ET30.69) // Bipartite(3,27) Valencies [18,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 286708355039232000 EdgesBipt[30][51]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {2,26}, {3,12}, {1,29}, {2,30}, {2,29}, {2,24}, {1,10}, {3,21}, {3,27}, {2,6}, {1,4}, {1,20}, {3,24}, {3,9}, {2,12}, {2,21}, {1,7}, {3,4}, {3,16}, {3,7}, {3,28}, {2,20}, {1,16}, {3,15}, {2,18}, {3,25}, {3,19}, {3,30}, {2,15}, {3,18}, {2,5}, {1,5}, {2,27}, {1,17}, {3,6}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,22}, {2,8}, {1,23}, {1,11}, {1,25}, {3,10} }; // ETB30.52 (= ET30.70) // Bipartite(10,20) Valencies [18,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3715891200 EdgesBipt[30][52]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {8,30}, {2,23}, {1,13}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {8,15}, {6,11}, {4,23}, {8,27}, {9,11}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {9,19}, {8,14}, {5,25}, {3,12}, {7,25}, {10,28}, {6,12}, {6,30}, {5,23}, {10,29}, {3,20}, {2,13}, {10,21}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {10,11}, {7,28}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {4,18}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {2,12}, {1,14}, {10,20}, {5,15}, {10,14}, {6,20}, {5,21}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {7,18}, {10,16}, {5,16} }; // ETB30.53 (= ET30.71) // Bipartite(12,18) Valencies [18,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3066747248841641164800000 EdgesBipt[30][53]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {12,22}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {8,15}, {4,23}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {12,13}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {2,17}, {9,13}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,24}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB30.54 (= ET30.74) // Bipartite(11,19) Valencies [19,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4855683143999265177600000 EdgesBipt[30][54]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,28}, {2,14}, {1,30}, {8,15}, {4,23}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,26}, {9,27}, {5,29}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {10,29}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB30.55 (= ET30.75) // Bipartite(5,25) Valencies [20,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2985984000000 EdgesBipt[30][55]:={ {3,15}, {4,14}, {1,11}, {3,29}, {2,22}, {5,30}, {4,27}, {2,20}, {4,16}, {1,9}, {3,30}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,21}, {2,29}, {3,19}, {1,29}, {5,6}, {4,12}, {3,18}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {2,23}, {4,7}, {1,17}, {3,13}, {1,22}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {4,29}, {3,9}, {5,15}, {3,23}, {4,30}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {3,21}, {1,14}, {2,8}, {1,27}, {5,11}, {3,16}, {1,13}, {5,10}, {3,25}, {3,8}, {3,20}, {5,12}, {2,25}, {3,6}, {1,28}, {4,9}, {2,7}, {5,18}, {1,8}, {5,16}, {2,30}, {1,21}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB30.56 (= ET30.76) // Bipartite(6,24) Valencies [20,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 137594142720 EdgesBipt[30][56]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {2,22}, {6,14}, {5,30}, {4,8}, {4,27}, {3,7}, {2,11}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {6,7}, {3,30}, {2,28}, {2,19}, {2,18}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {3,18}, {2,14}, {5,23}, {3,11}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,9}, {5,15}, {6,8}, {3,23}, {5,29}, {3,27}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {4,25}, {2,24}, {4,11}, {5,22}, {6,19}, {1,23}, {5,27}, {1,7}, {6,30}, {5,8}, {2,12}, {4,22}, {5,20}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {2,8}, {1,27}, {5,11}, {1,13}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {5,12}, {2,25}, {1,28}, {3,17}, {4,9}, {6,24}, {2,7}, {5,18}, {6,27}, {4,23}, {1,30}, {5,16}, {4,13}, {1,21}, {2,30}, {1,18}, {4,19}, {4,10}, {1,24}, {6,28} }; // ETB30.57 (= ET30.77) // Bipartite(10,20) Valencies [20,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8828514807271391232000000 EdgesBipt[30][57]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {8,15}, {6,11}, {4,23}, {8,27}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {10,29}, {3,20}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {10,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {7,18}, {10,16}, {5,16} }; // ETB30.58 (= ET30.80) // Bipartite(9,21) Valencies [21,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18539881095269921587200000 EdgesBipt[30][58]:={ {1,11}, {2,24}, {1,20}, {5,17}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {6,11}, {8,15}, {4,23}, {8,27}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,10}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {7,18}, {5,16} }; // ETB30.59 (= ET30.81) // Bipartite(8,22) Valencies [22,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 45319709343993141657600000 EdgesBipt[30][59]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {6,11}, {8,15}, {4,23}, {8,27}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {5,11}, {2,10}, {5,29}, {8,14}, {5,25}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {7,16}, {1,12}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {6,15}, {2,17}, {5,12}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {7,24}, {2,12}, {1,14}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {8,29}, {7,18}, {5,16} }; // ETB30.60 (= ET30.82) // Bipartite(7,23) Valencies [23,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 130294164363980282265600000 EdgesBipt[30][60]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {7,8}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {6,11}, {4,23}, {6,22}, {3,18}, {6,29}, {3,17}, {6,21}, {2,25}, {7,12}, {4,10}, {1,17}, {5,22}, {4,22}, {1,18}, {7,11}, {3,14}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {7,16}, {1,12}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {7,18}, {5,16} }; // ETB30.61 (= ET30.83) // Bipartite(6,24) Valencies [24,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 446722849247932396339200000 EdgesBipt[30][61]:={ {1,15}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {2,22}, {6,14}, {5,30}, {4,8}, {3,7}, {4,27}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,9}, {6,25}, {6,7}, {3,30}, {5,7}, {5,13}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {6,11}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {5,19}, {5,15}, {6,8}, {3,23}, {5,29}, {3,27}, {4,30}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {6,29}, {2,24}, {4,11}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {1,7}, {6,30}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {6,24}, {2,7}, {5,18}, {6,27}, {4,23}, {1,8}, {1,30}, {5,16}, {4,13}, {1,21}, {2,30}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24}, {6,28} }; // ETB30.62 (= ET30.85) // Bipartite(5,25) Valencies [25,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1861345205199718318080000000 EdgesBipt[30][62]:={ {1,15}, {5,14}, {3,15}, {4,14}, {1,11}, {3,29}, {2,22}, {5,30}, {4,8}, {3,7}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {1,9}, {3,30}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {5,19}, {5,15}, {3,23}, {5,29}, {3,27}, {4,30}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {2,7}, {5,18}, {1,8}, {4,23}, {1,30}, {5,16}, {4,13}, {1,21}, {2,30}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB30.63 (= ET30.87) // Bipartite(4,26) Valencies [26,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9678995067038535254016000000 EdgesBipt[30][63]:={ {1,15}, {3,15}, {1,11}, {4,14}, {3,29}, {2,22}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {1,9}, {4,5}, {1,5}, {3,30}, {4,6}, {3,10}, {2,28}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {2,14}, {3,11}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {3,27}, {4,30}, {1,19}, {4,21}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,26}, {2,24}, {4,11}, {2,27}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {1,28}, {3,17}, {4,9}, {2,7}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB30.64 (= ET30.88) // Bipartite(3,27) Valencies [27,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 65333216702510112964608000000 EdgesBipt[30][64]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {3,12}, {1,29}, {2,30}, {1,30}, {2,29}, {2,24}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {3,27}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {3,9}, {3,24}, {2,12}, {2,4}, {3,29}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {1,16}, {2,20}, {3,7}, {3,16}, {3,28}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {3,19}, {3,30}, {2,15}, {3,14}, {2,5}, {3,18}, {1,18}, {3,26}, {1,5}, {1,27}, {1,17}, {2,27}, {3,6}, {2,28}, {2,19}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB30.65 (= ET30.90) // Bipartite(2,28) Valencies [28,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 609776689223427721003008000000 EdgesBipt[30][65]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {1,29}, {2,30}, {1,30}, {2,29}, {2,24}, {2,10}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,12}, {2,4}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {1,16}, {2,20}, {2,18}, {1,21}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {2,19}, {1,28}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB30.66 (= ET30.92) // Bipartite(1,29) Valencies [29,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 8841761993739701954543616000000 EdgesBipt[30][66]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,12}, {1,2}, {1,3}, {1,17}, {1,30}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,28}, {1,6}, {1,14}, {1,26}, {1,18}, {1,27}, {1,21}, {1,19}, {1,29}, {1,20}, {1,8}, {1,24}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 30 is 66 // ******************************************************************************************** // Order 31 // ETB31.1 (= ET31.4) // Bipartite(15,16) Valencies [16,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 27360196043587190784000000 EdgesBipt[31][1]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {15,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {8,28}, {15,31}, {4,29}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {14,31}, {1,21}, {8,25}, {2,28}, {1,30}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {15,29}, {6,21}, {2,25}, {14,23}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {15,26}, {1,31}, {11,22}, {7,25}, {10,28}, {11,31}, {14,24}, {1,22}, {15,27}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {13,22}, {15,19}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {4,28}, {15,17}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {13,30}, {2,17}, {12,27}, {14,17}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {13,27}, {14,20}, {15,21}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {15,18}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {15,22}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {15,28}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {15,23}, {7,24}, {3,31}, {9,24}, {10,20}, {12,31}, {5,19}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {8,29}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB31.2 (= ET31.5) // Bipartite(14,17) Valencies [17,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31008222182732149555200000 EdgesBipt[31][2]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {14,19}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {8,28}, {4,29}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {14,31}, {1,21}, {8,25}, {2,28}, {1,30}, {8,15}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {14,23}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {11,15}, {1,31}, {11,22}, {7,25}, {10,28}, {11,31}, {14,24}, {1,22}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {13,22}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {14,15}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {9,20}, {4,15}, {1,28}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {6,15}, {13,30}, {2,17}, {12,27}, {14,17}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {9,30}, {13,27}, {14,20}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {9,24}, {10,20}, {5,15}, {12,31}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {13,17}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {8,29}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB31.3 (= ET31.6) // Bipartite(13,18) Valencies [18,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 39867714234941335142400000 EdgesBipt[31][3]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {8,28}, {4,29}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {8,15}, {4,23}, {8,31}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {11,15}, {1,31}, {11,22}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {5,14}, {9,20}, {4,15}, {1,28}, {7,14}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {6,15}, {13,30}, {2,17}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {13,27}, {7,28}, {3,16}, {11,26}, {13,26}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {13,14}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {1,14}, {9,24}, {10,20}, {5,15}, {12,31}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {13,17}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB31.4 (= ET31.7) // Bipartite(12,19) Valencies [19,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 58268197727991182131200000 EdgesBipt[31][4]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {12,29}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {12,22}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {8,15}, {4,23}, {8,27}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {1,31}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {12,13}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,24}, {3,31}, {1,14}, {9,24}, {10,20}, {5,15}, {12,31}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB31.5 (= ET31.8) // Bipartite(11,20) Valencies [20,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 97113662879985303552000000 EdgesBipt[31][5]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,28}, {2,14}, {1,30}, {8,15}, {4,23}, {8,27}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,26}, {9,27}, {5,29}, {9,19}, {8,14}, {5,25}, {11,13}, {11,15}, {1,31}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {11,21}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,24}, {3,31}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB31.6 (= ET31.9) // Bipartite(10,21) Valencies [21,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 185398810952699215872000000 EdgesBipt[31][6]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {5,25}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {10,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,24}, {3,31}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {7,18}, {10,16}, {5,16} }; // ETB31.7 (= ET31.10) // Bipartite(9,22) Valencies [22,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 407877384095938274918400000 EdgesBipt[31][7]:={ {1,11}, {2,24}, {1,20}, {5,17}, {9,28}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {8,14}, {5,25}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {9,25}, {7,16}, {7,26}, {1,12}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,10}, {7,24}, {3,31}, {2,12}, {1,14}, {9,24}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {7,18}, {5,16} }; // ETB31.8 (= ET31.11) // Bipartite(8,23) Valencies [23,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1042353314911842258124800000 EdgesBipt[31][8]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {3,14}, {7,20}, {5,11}, {2,10}, {5,29}, {8,14}, {5,25}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {7,16}, {1,12}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {5,12}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {8,29}, {7,18}, {5,16} }; // ETB31.9 (= ET31.12) // Bipartite(7,24) Valencies [24,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3127059944735526774374400000 EdgesBipt[31][9]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {6,11}, {4,23}, {6,22}, {3,18}, {6,29}, {3,17}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {1,18}, {7,11}, {3,14}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {7,16}, {1,12}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {7,18}, {5,16} }; // ETB31.10 (= ET31.13) // Bipartite(6,25) Valencies [25,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11168071231198309908480000000 EdgesBipt[31][10]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {4,27}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {6,11}, {4,23}, {6,22}, {3,18}, {6,29}, {3,17}, {3,7}, {6,21}, {2,25}, {6,31}, {4,10}, {1,17}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {1,31}, {3,12}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {1,12}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {3,16}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {6,25}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {4,17}, {5,16} }; // ETB31.11 (= ET31.14) // Bipartite(5,26) Valencies [26,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 48394975335192676270080000000 EdgesBipt[31][11]:={ {1,15}, {5,14}, {3,15}, {4,14}, {1,11}, {3,29}, {2,22}, {5,30}, {4,8}, {3,7}, {1,31}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {1,9}, {3,30}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {5,19}, {5,15}, {3,23}, {5,29}, {4,31}, {3,27}, {4,30}, {1,19}, {4,21}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {5,31}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {2,7}, {5,18}, {1,8}, {4,23}, {1,30}, {5,16}, {4,13}, {1,21}, {2,30}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB31.12 (= ET31.15) // Bipartite(4,27) Valencies [27,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 261332866810040451858432000000 EdgesBipt[31][12]:={ {1,15}, {3,15}, {1,11}, {4,14}, {3,29}, {2,22}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {1,9}, {4,5}, {1,5}, {3,30}, {4,6}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {2,14}, {3,11}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {3,27}, {4,30}, {1,19}, {4,21}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,26}, {2,24}, {4,11}, {2,27}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {1,28}, {3,17}, {4,9}, {2,7}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB31.13 (= ET31.16) // Bipartite(3,28) Valencies [28,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1829330067670283163009024000000 EdgesBipt[31][13]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {3,12}, {1,29}, {2,30}, {1,30}, {2,29}, {2,24}, {2,10}, {1,10}, {3,21}, {1,6}, {3,5}, {3,27}, {2,6}, {1,4}, {1,20}, {1,12}, {3,8}, {3,23}, {1,31}, {3,9}, {3,24}, {2,12}, {2,4}, {3,29}, {3,20}, {2,21}, {2,16}, {1,7}, {3,4}, {1,15}, {2,7}, {3,11}, {2,31}, {1,16}, {2,20}, {3,7}, {3,16}, {3,28}, {3,15}, {3,17}, {2,18}, {1,21}, {3,25}, {3,19}, {3,30}, {2,15}, {3,14}, {2,5}, {3,18}, {3,31}, {1,18}, {3,26}, {1,5}, {1,27}, {1,17}, {2,27}, {3,6}, {2,28}, {1,28}, {2,19}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22}, {3,10} }; // ETB31.14 (= ET31.17) // Bipartite(2,29) Valencies [29,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17683523987479403909087232000000 EdgesBipt[31][14]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {1,29}, {2,30}, {1,30}, {2,29}, {2,24}, {2,10}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {1,31}, {2,12}, {2,4}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {2,18}, {1,21}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB31.15 (= ET31.18) // Bipartite(1,30) Valencies [30,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 265252859812191058636308480000000 EdgesBipt[31][15]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,31}, {1,12}, {1,2}, {1,3}, {1,17}, {1,30}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,28}, {1,6}, {1,14}, {1,26}, {1,18}, {1,27}, {1,21}, {1,19}, {1,29}, {1,20}, {1,8}, {1,24}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 31 is 15 // ******************************************************************************************** // Order 32 // ETB32.1 (= ET32.1) // Bipartite(16,16) Valencies [2,2] // Diameter 16 Girth 32 // Twin-free VT AT // Automorphism group of order 64 EdgesBipt[32][1]:={ {14,18}, {2,32}, {9,19}, {13,24}, {9,21}, {6,29}, {14,20}, {7,27}, {5,22}, {10,27}, {10,23}, {13,28}, {4,31}, {15,17}, {12,24}, {16,30}, {15,18}, {1,17}, {5,25}, {2,30}, {16,28}, {12,21}, {11,20}, {6,31}, {3,26}, {8,19}, {11,23}, {8,22}, {4,32}, {3,25}, {1,26}, {7,29} }; // ETB32.2 (= ET32.2) // Bipartite(16,16) Valencies [3,3] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 192 EdgesBipt[32][2]:={ {8,20}, {13,19}, {2,32}, {3,29}, {6,21}, {12,25}, {14,27}, {5,27}, {4,23}, {2,19}, {8,24}, {9,32}, {16,18}, {8,23}, {7,17}, {14,28}, {1,22}, {5,22}, {1,28}, {12,29}, {4,31}, {16,20}, {15,17}, {15,24}, {16,30}, {9,28}, {14,31}, {1,17}, {10,22}, {10,19}, {2,20}, {5,26}, {7,18}, {12,21}, {11,27}, {6,31}, {10,24}, {3,26}, {4,25}, {11,23}, {6,32}, {13,26}, {13,21}, {3,30}, {9,18}, {7,29}, {11,30}, {15,25} }; // ETB32.3 (= ET32.3) // Bipartite(16,16) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 4096 EdgesBipt[32][3]:={ {3,32}, {15,32}, {4,23}, {13,28}, {8,20}, {2,26}, {12,18}, {2,30}, {11,17}, {11,25}, {2,24}, {9,31}, {16,23}, {15,27}, {1,20}, {12,31}, {3,29}, {6,32}, {11,21}, {7,30}, {8,27}, {5,23}, {13,32}, {4,18}, {5,25}, {5,31}, {5,28}, {3,25}, {15,30}, {4,21}, {6,21}, {3,31}, {12,19}, {13,20}, {15,28}, {8,22}, {1,27}, {4,28}, {1,17}, {7,19}, {16,20}, {6,18}, {10,19}, {8,26}, {9,18}, {12,22}, {14,23}, {14,27}, {13,24}, {7,17}, {1,19}, {10,22}, {11,26}, {10,21}, {9,26}, {14,29}, {10,25}, {16,24}, {6,29}, {16,29}, {2,22}, {7,24}, {9,17}, {14,30} }; // ETB32.4 (= ET32.4) // Bipartite(16,16) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 128 EdgesBipt[32][4]:={ {11,30}, {15,32}, {8,28}, {9,23}, {14,19}, {1,29}, {9,25}, {9,31}, {11,20}, {3,27}, {13,25}, {11,27}, {12,32}, {15,23}, {4,31}, {3,23}, {7,30}, {4,30}, {8,27}, {4,32}, {16,27}, {9,29}, {4,18}, {7,32}, {16,30}, {5,25}, {15,31}, {2,31}, {16,18}, {6,20}, {3,17}, {5,19}, {5,28}, {1,21}, {2,18}, {11,22}, {6,21}, {12,24}, {13,20}, {3,26}, {8,22}, {12,26}, {13,22}, {7,20}, {1,17}, {14,21}, {10,19}, {2,19}, {10,17}, {8,26}, {13,29}, {14,24}, {16,17}, {10,21}, {12,28}, {15,26}, {2,25}, {1,23}, {14,28}, {6,29}, {5,22}, {7,24}, {10,18}, {6,24} }; // ETB32.5 (= ET32.5) // Bipartite(16,16) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 2304 EdgesBipt[32][5]:={ {12,20}, {1,30}, {2,29}, {11,25}, {1,32}, {14,26}, {9,31}, {5,27}, {8,23}, {10,32}, {11,27}, {15,23}, {4,31}, {3,23}, {8,29}, {6,32}, {3,20}, {13,18}, {7,30}, {8,27}, {5,21}, {16,27}, {15,21}, {4,18}, {15,31}, {9,24}, {3,28}, {15,19}, {2,18}, {3,25}, {11,32}, {12,19}, {4,17}, {7,25}, {5,30}, {13,23}, {1,17}, {7,19}, {16,20}, {9,22}, {6,19}, {14,21}, {12,22}, {1,28}, {13,24}, {10,21}, {14,29}, {4,26}, {2,25}, {9,28}, {14,28}, {13,30}, {16,24}, {10,20}, {12,17}, {11,31}, {6,29}, {8,17}, {5,22}, {2,22}, {10,18}, {6,24}, {16,26}, {7,26} }; // ETB32.6 (= ET32.6) // Bipartite(16,16) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 256 EdgesBipt[32][6]:={ {1,26}, {15,32}, {4,24}, {8,31}, {1,29}, {2,30}, {9,21}, {15,20}, {6,26}, {11,20}, {6,31}, {11,27}, {8,24}, {11,23}, {8,29}, {6,32}, {3,20}, {9,32}, {13,18}, {4,30}, {8,27}, {5,23}, {15,31}, {10,23}, {3,17}, {5,19}, {5,28}, {3,25}, {4,27}, {4,21}, {14,32}, {3,18}, {12,19}, {16,21}, {7,25}, {1,18}, {15,25}, {12,26}, {13,22}, {16,22}, {16,19}, {2,27}, {7,19}, {1,17}, {2,28}, {7,28}, {13,24}, {2,23}, {13,29}, {7,17}, {9,30}, {10,22}, {9,26}, {14,28}, {16,24}, {10,20}, {12,17}, {11,31}, {14,25}, {6,29}, {5,22}, {10,18}, {12,21}, {14,30} }; // ETB32.7 (= ET32.7) // Bipartite(16,16) Valencies [4,4] // Diameter 8 Girth 4 // Has twins VT AT // Automorphism group of order 2097152 EdgesBipt[32][7]:={ {12,20}, {13,19}, {14,19}, {1,24}, {2,26}, {8,31}, {9,25}, {5,29}, {1,32}, {7,23}, {7,31}, {5,27}, {8,23}, {11,28}, {16,23}, {11,20}, {16,31}, {6,30}, {15,23}, {8,24}, {3,20}, {9,32}, {7,30}, {8,32}, {16,32}, {5,21}, {15,31}, {9,24}, {3,28}, {10,26}, {14,22}, {5,19}, {2,18}, {15,30}, {4,21}, {4,20}, {6,27}, {3,18}, {3,26}, {7,22}, {12,29}, {4,28}, {13,21}, {1,17}, {6,19}, {6,22}, {10,17}, {14,27}, {2,17}, {13,29}, {11,26}, {13,27}, {12,28}, {2,25}, {10,25}, {16,24}, {11,18}, {1,25}, {9,17}, {10,18}, {12,21}, {14,30}, {15,22}, {4,29} }; // ETB32.8 (= ET32.8) // Bipartite(16,16) Valencies [4,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 294912 EdgesBipt[32][8]:={ {11,30}, {1,26}, {12,27}, {4,24}, {13,19}, {8,31}, {5,29}, {1,32}, {14,26}, {9,21}, {7,31}, {6,26}, {11,20}, {3,27}, {16,31}, {15,24}, {11,27}, {3,23}, {11,23}, {8,29}, {3,20}, {9,32}, {13,18}, {2,21}, {8,32}, {16,32}, {16,30}, {15,31}, {10,23}, {6,20}, {14,22}, {5,19}, {4,27}, {1,21}, {2,18}, {3,30}, {12,19}, {12,24}, {4,17}, {7,25}, {15,25}, {15,28}, {13,22}, {1,17}, {2,28}, {6,22}, {7,28}, {5,18}, {6,25}, {2,23}, {13,29}, {14,20}, {10,28}, {10,21}, {9,26}, {8,30}, {4,19}, {12,17}, {14,25}, {5,22}, {16,29}, {7,24}, {10,18}, {9,17} }; // ETB32.9 (= ET32.9) // Bipartite(12,20) Valencies [5,3] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[32][9]:={ {1,26}, {12,20}, {4,24}, {9,19}, {11,15}, {7,16}, {2,32}, {11,17}, {2,24}, {9,31}, {6,26}, {11,24}, {12,16}, {3,21}, {8,15}, {11,20}, {11,27}, {12,30}, {12,32}, {4,31}, {3,23}, {8,29}, {3,29}, {6,15}, {5,16}, {5,21}, {7,32}, {5,25}, {2,31}, {10,23}, {2,20}, {7,18}, {4,27}, {2,18}, {6,27}, {3,14}, {7,25}, {5,30}, {4,22}, {9,22}, {10,19}, {9,18}, {5,14}, {7,28}, {3,13}, {1,13}, {8,14}, {1,19}, {10,28}, {10,21}, {4,26}, {1,22}, {10,25}, {9,28}, {1,23}, {8,30}, {12,17}, {6,29}, {8,17}, {6,13} }; // ETB32.10 (= ET32.10) // Bipartite(16,16) Valencies [5,5] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 3840 EdgesBipt[32][10]:={ {1,26}, {4,24}, {8,19}, {13,28}, {9,23}, {14,19}, {8,20}, {2,30}, {14,18}, {1,30}, {9,25}, {5,29}, {11,25}, {7,23}, {9,21}, {5,27}, {6,31}, {11,20}, {10,32}, {13,25}, {15,24}, {11,27}, {10,30}, {12,30}, {12,32}, {15,27}, {4,31}, {3,23}, {12,31}, {8,29}, {11,21}, {13,18}, {2,21}, {4,32}, {15,21}, {4,18}, {7,32}, {15,31}, {9,24}, {2,31}, {2,20}, {3,28}, {10,23}, {16,18}, {6,20}, {5,28}, {3,25}, {1,21}, {3,19}, {5,17}, {6,27}, {14,32}, {15,17}, {3,26}, {12,29}, {16,25}, {16,22}, {16,19}, {1,17}, {16,20}, {6,18}, {4,22}, {9,22}, {10,19}, {8,26}, {7,28}, {13,24}, {5,26}, {7,17}, {10,22}, {11,26}, {13,27}, {14,29}, {1,23}, {14,28}, {8,30}, {12,17}, {6,29}, {2,22}, {7,24} }; // ETB32.11 (= ET32.12) // Bipartite(8,24) Valencies [6,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[32][11]:={ {4,20}, {3,24}, {6,28}, {8,21}, {7,30}, {7,23}, {4,30}, {5,18}, {5,21}, {5,27}, {3,14}, {7,27}, {1,29}, {4,15}, {8,23}, {3,15}, {2,25}, {5,20}, {8,16}, {1,28}, {1,10}, {8,14}, {4,19}, {3,17}, {3,11}, {2,13}, {7,25}, {6,24}, {2,18}, {5,26}, {4,22}, {8,9}, {1,11}, {6,22}, {6,31}, {1,19}, {5,17}, {6,32}, {2,16}, {3,12}, {6,26}, {7,32}, {1,9}, {4,13}, {2,12}, {2,10}, {8,31}, {7,29} }; // ETB32.12 (= ET32.13) // Bipartite(8,24) Valencies [6,2] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26873856 EdgesBipt[32][12]:={ {2,11}, {3,22}, {5,12}, {1,26}, {7,16}, {2,26}, {5,29}, {7,23}, {7,31}, {2,10}, {8,9}, {8,16}, {1,10}, {6,14}, {4,11}, {3,21}, {6,31}, {8,25}, {6,30}, {8,24}, {3,29}, {6,15}, {8,32}, {5,21}, {5,20}, {4,12}, {7,32}, {5,28}, {2,18}, {4,27}, {4,20}, {7,15}, {3,30}, {3,14}, {1,18}, {4,28}, {2,27}, {1,17}, {6,22}, {2,19}, {3,13}, {5,13}, {1,9}, {4,19}, {1,25}, {8,17}, {6,23}, {7,24} }; // ETB32.13 (= ET32.14) // Bipartite(8,24) Valencies [6,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 196608 EdgesBipt[32][13]:={ {4,24}, {7,11}, {1,32}, {2,24}, {7,23}, {7,31}, {6,14}, {6,26}, {4,10}, {1,20}, {3,23}, {2,12}, {3,29}, {5,9}, {5,16}, {4,32}, {5,21}, {8,10}, {4,12}, {7,27}, {1,15}, {3,11}, {2,31}, {3,16}, {3,28}, {3,17}, {5,28}, {1,21}, {4,20}, {7,15}, {5,30}, {8,22}, {1,27}, {7,19}, {4,22}, {2,19}, {8,26}, {5,18}, {6,25}, {6,17}, {8,14}, {8,18}, {1,9}, {2,13}, {2,25}, {8,30}, {6,29}, {6,13} }; // ETB32.14 (= ET32.15) // Bipartite(16,16) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 384 EdgesBipt[32][14]:={ {13,25}, {14,21}, {10,21}, {8,31}, {11,23}, {6,18}, {3,29}, {2,22}, {5,30}, {1,31}, {13,24}, {14,18}, {12,17}, {5,24}, {3,32}, {6,25}, {16,23}, {7,27}, {9,19}, {12,18}, {16,20}, {12,27}, {15,29}, {2,18}, {5,26}, {10,18}, {6,22}, {10,30}, {14,27}, {3,18}, {12,30}, {13,26}, {1,17}, {2,32}, {6,21}, {4,28}, {7,29}, {10,31}, {16,26}, {16,19}, {14,28}, {5,19}, {7,20}, {8,26}, {8,17}, {3,27}, {4,30}, {12,28}, {4,17}, {5,28}, {12,29}, {9,25}, {10,29}, {1,26}, {8,19}, {13,22}, {6,29}, {2,27}, {15,21}, {14,17}, {15,31}, {1,23}, {2,21}, {10,28}, {11,19}, {14,31}, {13,32}, {5,31}, {9,24}, {11,25}, {8,23}, {16,22}, {6,20}, {9,26}, {15,27}, {7,22}, {11,32}, {7,32}, {3,25}, {13,23}, {15,17}, {11,20}, {7,21}, {3,20}, {2,25}, {1,28}, {8,30}, {15,30}, {16,32}, {4,23}, {11,24}, {4,19}, {4,24}, {9,20}, {1,24}, {9,22} }; // ETB32.15 (= ET32.16) // Bipartite(16,16) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 384 EdgesBipt[32][15]:={ {10,19}, {5,32}, {10,21}, {15,23}, {14,25}, {13,29}, {12,26}, {6,18}, {12,19}, {3,29}, {6,17}, {10,27}, {7,24}, {11,29}, {2,20}, {14,19}, {12,22}, {16,18}, {7,31}, {13,27}, {12,18}, {3,30}, {1,32}, {16,20}, {14,20}, {9,17}, {5,21}, {15,28}, {2,29}, {8,22}, {12,30}, {16,21}, {4,20}, {2,23}, {8,28}, {1,17}, {15,25}, {10,31}, {7,25}, {3,22}, {5,19}, {8,17}, {11,28}, {4,31}, {14,26}, {6,26}, {1,19}, {7,30}, {5,28}, {13,30}, {9,25}, {6,29}, {12,23}, {6,31}, {5,22}, {14,17}, {15,31}, {2,21}, {16,27}, {8,27}, {10,28}, {7,18}, {13,32}, {3,28}, {11,31}, {3,26}, {3,24}, {8,20}, {8,23}, {16,22}, {9,18}, {4,32}, {13,21}, {1,27}, {11,32}, {4,18}, {9,29}, {13,23}, {2,26}, {15,17}, {11,20}, {7,21}, {2,25}, {9,32}, {10,26}, {6,27}, {15,30}, {4,23}, {11,24}, {1,30}, {5,25}, {4,19}, {14,24}, {1,24}, {9,22}, {16,24} }; // ETB32.16 (= ET32.17) // Bipartite(16,16) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 23040 EdgesBipt[32][16]:={ {13,25}, {13,29}, {11,17}, {8,31}, {12,26}, {11,23}, {9,30}, {4,27}, {10,27}, {14,19}, {16,18}, {7,27}, {11,22}, {16,20}, {7,23}, {9,31}, {3,31}, {2,18}, {5,26}, {13,20}, {15,28}, {2,29}, {3,19}, {8,22}, {7,28}, {12,21}, {12,30}, {5,23}, {15,22}, {9,27}, {2,31}, {2,23}, {1,17}, {10,25}, {15,25}, {6,21}, {16,17}, {8,21}, {8,18}, {2,17}, {7,29}, {10,31}, {4,29}, {5,19}, {3,23}, {6,26}, {14,26}, {1,19}, {4,21}, {13,30}, {4,25}, {8,19}, {6,29}, {12,24}, {15,26}, {12,23}, {6,31}, {14,17}, {14,22}, {5,27}, {15,18}, {13,32}, {8,32}, {5,20}, {3,28}, {3,24}, {9,24}, {11,25}, {11,21}, {6,20}, {10,17}, {1,27}, {7,22}, {4,18}, {16,28}, {7,32}, {3,25}, {10,32}, {11,20}, {14,29}, {12,32}, {1,28}, {5,18}, {10,26}, {13,19}, {15,30}, {16,32}, {1,30}, {2,30}, {1,21}, {14,24}, {4,24}, {9,20}, {9,22}, {6,28}, {16,24} }; // ETB32.17 (= ET32.18) // Bipartite(16,16) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1536 EdgesBipt[32][17]:={ {14,21}, {5,32}, {10,22}, {13,18}, {4,27}, {11,29}, {14,19}, {13,24}, {14,18}, {1,25}, {12,17}, {12,22}, {5,24}, {6,32}, {7,31}, {16,23}, {9,19}, {13,27}, {7,23}, {2,28}, {3,31}, {2,19}, {2,18}, {5,26}, {4,26}, {15,32}, {2,29}, {10,30}, {3,18}, {9,27}, {2,31}, {8,28}, {1,17}, {10,25}, {14,30}, {6,21}, {2,17}, {8,18}, {4,28}, {7,29}, {4,29}, {16,26}, {7,25}, {16,19}, {3,22}, {9,23}, {10,24}, {8,26}, {5,29}, {3,27}, {1,19}, {7,30}, {4,21}, {12,29}, {9,25}, {1,26}, {15,26}, {12,23}, {14,32}, {6,31}, {15,31}, {14,22}, {10,28}, {11,19}, {4,22}, {9,28}, {8,20}, {8,23}, {16,22}, {6,20}, {11,30}, {10,17}, {11,27}, {13,21}, {1,20}, {15,27}, {3,25}, {13,23}, {15,17}, {13,17}, {11,20}, {7,21}, {3,20}, {12,32}, {9,32}, {6,24}, {5,18}, {8,30}, {15,30}, {11,24}, {16,31}, {1,21}, {12,20}, {5,25}, {6,28}, {16,24} }; // ETB32.18 (= ET32.19) // Bipartite(16,16) Valencies [6,6] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 6291456 EdgesBipt[32][18]:={ {7,19}, {16,25}, {14,21}, {5,32}, {11,17}, {8,24}, {10,22}, {11,23}, {9,30}, {12,19}, {2,22}, {13,18}, {4,27}, {6,23}, {2,20}, {13,24}, {1,25}, {12,31}, {12,22}, {5,24}, {6,32}, {7,27}, {13,27}, {9,21}, {16,20}, {12,27}, {15,29}, {2,28}, {3,31}, {2,18}, {5,26}, {9,17}, {10,18}, {15,28}, {10,30}, {1,29}, {3,18}, {7,28}, {12,30}, {8,28}, {13,26}, {1,17}, {1,22}, {6,21}, {16,17}, {7,29}, {5,19}, {7,20}, {15,20}, {3,23}, {8,17}, {4,31}, {4,30}, {11,18}, {15,19}, {9,25}, {11,26}, {6,29}, {12,23}, {14,32}, {6,31}, {15,21}, {5,27}, {10,28}, {14,31}, {13,32}, {14,23}, {8,32}, {4,22}, {11,31}, {3,26}, {11,25}, {8,20}, {15,27}, {16,28}, {8,25}, {3,25}, {9,29}, {2,26}, {7,21}, {14,29}, {3,17}, {10,20}, {6,24}, {5,18}, {10,26}, {13,19}, {16,32}, {4,23}, {1,30}, {2,30}, {1,21}, {14,24}, {4,19}, {9,22}, {16,24} }; // ETB32.19 (= ET32.23) // Bipartite(16,16) Valencies [7,7] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 1344 EdgesBipt[32][19]:={ {10,19}, {7,19}, {16,25}, {5,32}, {10,21}, {14,25}, {8,31}, {8,24}, {10,22}, {9,30}, {12,19}, {3,29}, {2,22}, {1,31}, {13,18}, {16,30}, {10,27}, {11,29}, {6,23}, {1,25}, {12,17}, {5,24}, {16,23}, {3,30}, {16,20}, {12,27}, {7,23}, {2,28}, {9,31}, {2,19}, {5,26}, {4,26}, {9,17}, {6,22}, {15,32}, {13,20}, {5,21}, {15,28}, {2,29}, {14,27}, {3,19}, {3,18}, {8,22}, {7,28}, {12,21}, {12,30}, {16,21}, {15,22}, {2,23}, {13,26}, {1,17}, {8,21}, {8,18}, {16,26}, {7,25}, {5,19}, {7,20}, {16,29}, {11,28}, {4,31}, {3,27}, {11,18}, {4,21}, {4,17}, {13,30}, {9,25}, {10,29}, {11,26}, {13,22}, {12,24}, {12,23}, {14,32}, {2,24}, {6,31}, {6,30}, {15,18}, {14,31}, {14,23}, {4,22}, {9,28}, {3,28}, {11,31}, {9,24}, {6,20}, {9,26}, {4,32}, {1,20}, {1,27}, {11,32}, {15,27}, {7,32}, {3,25}, {2,26}, {10,32}, {13,17}, {15,17}, {11,20}, {14,29}, {10,20}, {5,18}, {8,30}, {6,27}, {13,19}, {7,17}, {4,23}, {1,21}, {1,18}, {15,24}, {5,25}, {14,24}, {8,29}, {6,28} }; // ETB32.20 (= ET32.24) // Bipartite(16,16) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 43008 EdgesBipt[32][20]:={ {13,25}, {10,21}, {15,23}, {12,26}, {10,22}, {9,30}, {12,19}, {3,29}, {5,30}, {13,18}, {10,27}, {7,24}, {1,25}, {12,17}, {12,31}, {16,18}, {3,32}, {6,32}, {7,31}, {6,25}, {7,27}, {9,19}, {11,22}, {16,20}, {2,28}, {9,31}, {14,20}, {3,31}, {5,26}, {4,26}, {9,17}, {10,18}, {6,22}, {15,32}, {10,23}, {14,27}, {1,29}, {8,22}, {12,21}, {5,23}, {15,22}, {2,31}, {8,28}, {1,17}, {15,25}, {1,22}, {2,32}, {6,21}, {7,29}, {16,26}, {7,25}, {16,19}, {8,26}, {3,23}, {16,29}, {11,28}, {3,27}, {4,30}, {14,26}, {1,19}, {11,18}, {4,21}, {4,17}, {12,29}, {13,30}, {9,25}, {10,29}, {8,19}, {6,29}, {12,23}, {14,32}, {2,24}, {2,27}, {6,19}, {14,17}, {15,21}, {1,23}, {2,21}, {14,22}, {5,27}, {10,28}, {7,18}, {8,32}, {4,22}, {5,20}, {3,28}, {5,31}, {5,17}, {9,24}, {11,25}, {13,28}, {8,20}, {8,23}, {11,30}, {11,27}, {13,21}, {1,20}, {15,27}, {4,18}, {16,28}, {3,25}, {13,23}, {2,26}, {15,17}, {11,20}, {7,21}, {3,20}, {14,29}, {12,32}, {9,32}, {6,24}, {5,18}, {8,30}, {10,26}, {13,31}, {13,19}, {15,30}, {7,17}, {11,24}, {16,31}, {2,30}, {1,18}, {4,19}, {14,24}, {4,24}, {9,20}, {6,28}, {16,24} }; // ETB32.21 (= ET32.25) // Bipartite(16,16) Valencies [8,8] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 1761205026816 EdgesBipt[32][21]:={ {7,19}, {16,25}, {13,25}, {13,29}, {15,23}, {8,31}, {10,22}, {11,23}, {6,18}, {9,30}, {12,19}, {2,22}, {5,30}, {4,27}, {13,18}, {7,24}, {2,20}, {1,25}, {14,18}, {12,17}, {12,31}, {3,32}, {6,32}, {7,31}, {16,23}, {7,27}, {9,21}, {12,27}, {7,23}, {2,28}, {14,20}, {12,25}, {3,31}, {2,18}, {5,26}, {9,17}, {10,18}, {6,22}, {15,32}, {5,21}, {15,28}, {10,30}, {3,19}, {1,29}, {7,28}, {12,21}, {16,21}, {1,17}, {13,26}, {1,22}, {14,30}, {2,32}, {16,17}, {8,21}, {4,29}, {16,19}, {14,28}, {10,24}, {7,20}, {15,20}, {3,23}, {8,17}, {5,29}, {16,29}, {11,28}, {4,31}, {3,27}, {6,26}, {14,26}, {15,19}, {4,21}, {4,17}, {12,29}, {13,30}, {9,25}, {4,25}, {1,26}, {8,19}, {13,22}, {12,23}, {14,32}, {2,24}, {5,22}, {15,31}, {16,27}, {14,22}, {6,30}, {10,28}, {8,27}, {11,19}, {3,28}, {11,31}, {3,24}, {5,17}, {8,23}, {6,20}, {9,26}, {9,18}, {11,27}, {13,21}, {11,32}, {15,27}, {8,25}, {7,32}, {9,29}, {2,26}, {10,32}, {13,17}, {11,20}, {3,20}, {10,20}, {6,24}, {5,18}, {10,26}, {4,23}, {11,24}, {1,30}, {16,31}, {2,30}, {1,21}, {1,18}, {15,24}, {5,25}, {4,19}, {14,24}, {8,29}, {9,22}, {6,28} }; // ETB32.22 (= ET32.26) // Bipartite(16,16) Valencies [8,8] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 25165824 EdgesBipt[32][22]:={ {10,19}, {16,25}, {10,21}, {15,23}, {8,31}, {10,22}, {11,23}, {6,18}, {9,30}, {3,29}, {2,22}, {5,30}, {13,18}, {10,27}, {7,24}, {6,23}, {11,29}, {14,19}, {1,25}, {14,18}, {12,17}, {12,22}, {16,18}, {6,32}, {7,31}, {16,23}, {13,27}, {1,32}, {16,20}, {7,23}, {15,29}, {12,25}, {3,31}, {2,19}, {5,26}, {9,17}, {15,32}, {13,20}, {2,29}, {3,19}, {10,30}, {14,27}, {12,21}, {12,30}, {4,20}, {8,28}, {1,17}, {13,26}, {15,25}, {1,22}, {2,32}, {16,17}, {8,18}, {4,28}, {7,29}, {4,29}, {16,26}, {7,25}, {5,19}, {10,24}, {8,26}, {3,23}, {8,17}, {11,28}, {3,27}, {4,30}, {6,26}, {14,26}, {12,28}, {4,21}, {4,17}, {5,28}, {12,29}, {13,30}, {9,25}, {4,25}, {10,29}, {1,26}, {13,22}, {14,32}, {2,24}, {6,31}, {5,22}, {2,27}, {6,19}, {15,21}, {15,31}, {2,21}, {5,27}, {11,19}, {14,31}, {14,23}, {5,20}, {4,22}, {3,28}, {11,31}, {9,24}, {13,28}, {8,20}, {8,23}, {11,21}, {9,26}, {3,21}, {9,18}, {11,27}, {16,28}, {8,25}, {7,32}, {10,32}, {15,17}, {11,20}, {7,21}, {3,20}, {9,32}, {6,24}, {5,18}, {6,27}, {13,19}, {7,17}, {1,30}, {16,31}, {2,30}, {1,18}, {12,20}, {15,24}, {14,24}, {1,24}, {9,22} }; // ETB32.23 (= ET32.27) // Bipartite(16,16) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 98304 EdgesBipt[32][23]:={ {16,25}, {13,25}, {10,21}, {13,29}, {14,25}, {15,23}, {11,17}, {8,24}, {10,22}, {9,30}, {12,19}, {3,29}, {2,22}, {4,27}, {6,17}, {16,30}, {11,29}, {13,24}, {14,19}, {12,31}, {5,24}, {6,32}, {7,31}, {6,25}, {16,23}, {12,18}, {3,30}, {1,32}, {12,27}, {7,23}, {2,28}, {14,20}, {2,18}, {9,17}, {10,18}, {15,32}, {13,20}, {5,21}, {10,23}, {2,29}, {3,19}, {10,30}, {14,27}, {8,22}, {16,21}, {4,20}, {15,22}, {9,27}, {2,31}, {2,23}, {7,26}, {1,17}, {15,25}, {16,17}, {8,21}, {4,28}, {10,31}, {4,29}, {16,26}, {7,25}, {9,23}, {5,19}, {7,20}, {8,26}, {15,20}, {8,17}, {5,29}, {11,28}, {4,31}, {3,27}, {6,26}, {14,26}, {12,28}, {12,29}, {10,29}, {1,26}, {13,22}, {15,26}, {14,32}, {5,22}, {6,19}, {14,17}, {15,31}, {1,23}, {2,21}, {10,28}, {15,18}, {11,19}, {7,18}, {5,20}, {9,28}, {3,28}, {3,24}, {5,31}, {8,23}, {16,22}, {11,21}, {9,26}, {6,20}, {3,21}, {11,30}, {9,18}, {11,27}, {4,32}, {13,21}, {1,27}, {7,22}, {4,18}, {8,25}, {7,32}, {12,32}, {1,28}, {3,17}, {9,32}, {6,24}, {8,30}, {13,31}, {6,27}, {13,19}, {11,24}, {1,30}, {2,30}, {1,18}, {12,20}, {5,25}, {4,19}, {14,24}, {16,24} }; // ETB32.24 (= ET32.28) // Bipartite(8,24) Valencies [9,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 80621568 EdgesBipt[32][24]:={ {2,11}, {4,24}, {4,23}, {7,11}, {1,24}, {3,12}, {2,26}, {2,29}, {1,32}, {2,10}, {7,12}, {8,16}, {6,26}, {4,10}, {8,21}, {3,21}, {6,12}, {6,10}, {5,15}, {4,31}, {8,24}, {3,23}, {4,16}, {8,29}, {3,29}, {3,20}, {2,21}, {5,9}, {7,30}, {8,32}, {5,23}, {4,32}, {7,27}, {4,18}, {5,25}, {5,31}, {1,16}, {3,28}, {3,15}, {6,20}, {2,18}, {5,17}, {8,13}, {3,31}, {5,30}, {7,22}, {8,22}, {4,15}, {1,27}, {7,20}, {2,27}, {1,17}, {7,19}, {6,18}, {2,19}, {5,14}, {7,28}, {3,13}, {6,25}, {6,17}, {8,14}, {1,19}, {1,9}, {4,26}, {2,13}, {6,28}, {7,14}, {8,30}, {1,11}, {5,22}, {1,25}, {6,9} }; // ETB32.25 (= ET32.29) // Bipartite(16,16) Valencies [9,9] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2304 EdgesBipt[32][25]:={ {10,19}, {16,25}, {13,25}, {14,21}, {5,32}, {10,21}, {8,31}, {8,24}, {12,26}, {10,22}, {11,23}, {9,30}, {12,19}, {3,29}, {2,22}, {5,30}, {1,31}, {6,17}, {13,18}, {10,27}, {7,24}, {11,29}, {2,20}, {14,19}, {1,25}, {12,22}, {16,18}, {7,27}, {9,19}, {9,21}, {12,18}, {16,20}, {7,23}, {15,29}, {2,28}, {14,20}, {4,26}, {6,22}, {15,32}, {2,29}, {10,30}, {3,18}, {8,22}, {7,28}, {5,23}, {4,20}, {9,27}, {2,31}, {8,28}, {1,17}, {13,26}, {15,25}, {1,22}, {14,30}, {2,17}, {4,28}, {4,29}, {16,26}, {7,25}, {16,19}, {9,23}, {10,24}, {5,19}, {7,20}, {15,20}, {3,23}, {16,29}, {11,28}, {4,31}, {3,27}, {14,26}, {11,18}, {12,28}, {7,30}, {12,29}, {13,30}, {4,25}, {10,29}, {1,26}, {8,19}, {12,24}, {12,23}, {6,31}, {5,22}, {2,27}, {6,19}, {14,17}, {15,21}, {1,23}, {2,21}, {5,27}, {6,30}, {10,28}, {15,18}, {14,31}, {13,32}, {8,32}, {4,22}, {3,28}, {5,31}, {5,17}, {8,20}, {8,23}, {11,21}, {9,26}, {6,20}, {3,21}, {11,30}, {9,18}, {11,27}, {13,21}, {1,27}, {11,32}, {4,18}, {8,25}, {3,25}, {7,32}, {2,26}, {13,17}, {15,17}, {3,20}, {14,29}, {12,32}, {3,17}, {9,32}, {6,24}, {10,26}, {13,31}, {6,27}, {13,19}, {15,30}, {16,32}, {7,17}, {4,23}, {11,24}, {16,31}, {1,21}, {1,18}, {15,24}, {5,25}, {14,24}, {9,22}, {6,28}, {16,24} }; // ETB32.26 (= ET32.31) // Bipartite(12,20) Valencies [10,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[32][26]:={ {10,19}, {7,19}, {5,32}, {11,15}, {5,14}, {10,21}, {8,31}, {8,24}, {12,19}, {2,22}, {6,14}, {5,30}, {1,31}, {4,27}, {6,23}, {11,29}, {1,25}, {12,15}, {12,17}, {12,14}, {5,24}, {7,27}, {9,19}, {9,21}, {3,30}, {11,22}, {12,27}, {3,31}, {2,18}, {2,15}, {4,26}, {8,13}, {6,22}, {5,21}, {10,23}, {2,29}, {3,19}, {12,21}, {12,30}, {5,23}, {4,20}, {2,23}, {3,13}, {10,25}, {2,16}, {1,22}, {2,32}, {1,16}, {10,13}, {8,18}, {4,28}, {7,29}, {3,14}, {10,31}, {4,29}, {10,16}, {7,25}, {9,23}, {5,15}, {8,26}, {7,13}, {8,17}, {3,27}, {6,26}, {6,15}, {11,18}, {12,29}, {9,25}, {4,25}, {9,15}, {1,26}, {11,26}, {2,24}, {6,31}, {1,23}, {2,21}, {6,30}, {8,27}, {10,28}, {7,18}, {8,32}, {9,28}, {4,22}, {10,14}, {3,28}, {3,26}, {8,16}, {5,17}, {5,31}, {7,16}, {6,20}, {11,30}, {10,17}, {11,27}, {11,32}, {1,13}, {4,18}, {9,29}, {7,32}, {3,20}, {7,21}, {11,20}, {9,14}, {2,25}, {12,32}, {1,28}, {3,17}, {6,24}, {8,30}, {7,17}, {11,24}, {5,16}, {4,13}, {1,18}, {12,20}, {4,19}, {9,20}, {1,24}, {9,22}, {6,28} }; // ETB32.27 (= ET32.32) // Bipartite(12,20) Valencies [10,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[32][27]:={ {1,15}, {9,13}, {5,32}, {10,21}, {12,26}, {10,22}, {6,18}, {11,23}, {4,14}, {9,30}, {12,19}, {3,29}, {2,22}, {6,14}, {6,17}, {12,16}, {10,27}, {6,23}, {6,13}, {12,17}, {12,31}, {12,22}, {3,32}, {7,31}, {9,19}, {11,16}, {3,30}, {1,32}, {12,27}, {7,23}, {7,15}, {5,13}, {3,31}, {8,14}, {8,13}, {10,18}, {8,15}, {7,28}, {5,23}, {2,23}, {7,26}, {10,25}, {2,16}, {2,32}, {6,21}, {8,18}, {4,28}, {3,14}, {2,13}, {10,15}, {10,31}, {4,29}, {5,19}, {10,24}, {5,15}, {8,26}, {8,17}, {5,29}, {4,31}, {4,30}, {11,18}, {12,28}, {7,30}, {4,15}, {10,29}, {1,26}, {8,19}, {11,26}, {6,29}, {11,14}, {2,24}, {5,22}, {2,21}, {5,27}, {11,19}, {7,18}, {9,28}, {11,31}, {5,17}, {9,24}, {11,25}, {8,20}, {6,16}, {3,21}, {1,14}, {9,18}, {11,27}, {4,32}, {1,20}, {1,27}, {7,22}, {3,16}, {1,13}, {8,25}, {3,25}, {9,29}, {2,26}, {3,20}, {7,21}, {2,25}, {12,32}, {1,28}, {3,17}, {10,20}, {8,30}, {6,27}, {9,16}, {7,17}, {4,23}, {11,24}, {2,30}, {1,21}, {12,20}, {5,25}, {4,19}, {4,24}, {9,20}, {1,24}, {6,28}, {9,22} }; // ETB32.28 (= ET32.33) // Bipartite(12,20) Valencies [10,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2149908480000 EdgesBipt[32][28]:={ {9,13}, {7,19}, {5,32}, {11,15}, {10,21}, {3,15}, {8,31}, {12,26}, {10,22}, {6,18}, {11,23}, {4,14}, {12,19}, {2,22}, {6,14}, {4,27}, {6,17}, {7,24}, {1,25}, {6,13}, {12,15}, {12,31}, {12,14}, {12,22}, {5,24}, {3,32}, {7,31}, {6,25}, {7,27}, {9,21}, {11,16}, {12,18}, {1,32}, {12,27}, {7,23}, {7,15}, {5,13}, {3,31}, {2,18}, {8,14}, {4,26}, {9,17}, {10,18}, {6,22}, {5,21}, {2,29}, {3,19}, {10,30}, {1,29}, {8,22}, {8,15}, {7,28}, {12,30}, {2,14}, {1,17}, {10,25}, {1,16}, {6,21}, {10,13}, {2,17}, {8,18}, {2,13}, {7,20}, {8,26}, {3,23}, {5,29}, {4,31}, {11,28}, {3,27}, {4,30}, {6,26}, {5,28}, {9,25}, {4,15}, {10,29}, {8,19}, {6,29}, {12,23}, {2,21}, {6,30}, {8,27}, {11,19}, {5,20}, {4,22}, {9,28}, {10,14}, {3,28}, {11,31}, {3,24}, {5,17}, {9,24}, {8,23}, {7,16}, {10,17}, {11,27}, {1,20}, {11,32}, {3,16}, {1,13}, {4,18}, {7,32}, {9,29}, {2,26}, {3,20}, {11,20}, {2,25}, {1,28}, {9,32}, {8,30}, {10,26}, {9,16}, {4,23}, {11,24}, {5,16}, {2,30}, {1,21}, {5,25}, {4,19}, {9,20}, {1,24} }; // ETB32.29 (= ET32.34) // Bipartite(12,20) Valencies [10,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 318504960000 EdgesBipt[32][29]:={ {9,13}, {5,32}, {11,15}, {3,15}, {8,31}, {10,22}, {11,23}, {4,14}, {3,29}, {2,22}, {6,17}, {12,16}, {1,25}, {4,16}, {6,13}, {12,17}, {5,24}, {6,32}, {6,25}, {9,19}, {9,21}, {11,16}, {9,31}, {12,25}, {3,31}, {2,19}, {2,18}, {2,15}, {8,14}, {4,26}, {9,17}, {10,18}, {3,19}, {10,30}, {1,29}, {8,22}, {8,15}, {12,21}, {2,14}, {5,23}, {4,20}, {9,27}, {2,31}, {2,23}, {7,26}, {1,17}, {3,13}, {1,22}, {6,21}, {8,18}, {4,28}, {7,29}, {10,16}, {7,25}, {5,19}, {9,23}, {10,24}, {5,15}, {8,26}, {7,13}, {3,23}, {7,14}, {11,28}, {3,27}, {4,30}, {12,28}, {7,30}, {5,28}, {12,29}, {9,25}, {9,15}, {1,26}, {8,19}, {6,29}, {12,24}, {2,27}, {5,27}, {8,27}, {10,28}, {11,19}, {7,18}, {5,20}, {4,22}, {10,14}, {11,31}, {5,31}, {8,23}, {6,16}, {6,20}, {3,21}, {1,14}, {11,27}, {4,32}, {7,22}, {11,32}, {1,13}, {4,18}, {3,25}, {9,29}, {2,26}, {10,32}, {7,21}, {11,20}, {12,32}, {3,17}, {10,20}, {6,24}, {8,30}, {10,26}, {7,17}, {11,24}, {1,30}, {5,16}, {2,30}, {1,21}, {1,18}, {12,20}, {4,24}, {12,13}, {6,28} }; // ETB32.30 (= ET32.35) // Bipartite(12,20) Valencies [10,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[32][30]:={ {1,15}, {9,13}, {5,32}, {10,21}, {3,15}, {8,24}, {4,14}, {9,30}, {3,29}, {6,14}, {4,27}, {10,27}, {11,29}, {2,20}, {1,25}, {12,15}, {12,31}, {12,14}, {12,22}, {6,32}, {6,25}, {7,27}, {9,19}, {11,16}, {3,30}, {1,32}, {11,22}, {7,23}, {7,15}, {12,25}, {2,19}, {5,26}, {8,14}, {10,18}, {6,22}, {5,21}, {10,23}, {2,29}, {3,19}, {3,18}, {12,21}, {12,30}, {2,14}, {7,26}, {1,17}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {10,13}, {2,17}, {4,28}, {10,31}, {7,25}, {9,23}, {5,19}, {10,24}, {8,26}, {7,13}, {8,17}, {3,23}, {5,29}, {4,31}, {11,28}, {6,15}, {11,18}, {4,21}, {4,17}, {5,28}, {9,25}, {9,15}, {1,26}, {8,19}, {11,26}, {12,24}, {2,24}, {6,31}, {5,22}, {2,27}, {1,23}, {6,30}, {8,27}, {10,28}, {11,19}, {9,28}, {10,14}, {3,28}, {11,31}, {8,16}, {5,31}, {8,20}, {7,16}, {6,20}, {11,21}, {9,18}, {10,17}, {1,27}, {7,22}, {11,32}, {1,13}, {4,18}, {7,32}, {3,25}, {9,29}, {2,26}, {3,20}, {12,32}, {6,24}, {5,18}, {8,30}, {7,17}, {4,23}, {5,16}, {4,13}, {2,30}, {12,20}, {4,24}, {9,20}, {8,29} }; // ETB32.31 (= ET32.36) // Bipartite(12,20) Valencies [10,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46080 EdgesBipt[32][31]:={ {9,13}, {10,19}, {7,19}, {5,32}, {11,15}, {10,21}, {8,31}, {8,24}, {12,26}, {10,22}, {6,18}, {4,14}, {3,29}, {5,30}, {1,31}, {12,16}, {6,23}, {11,29}, {6,13}, {12,31}, {12,22}, {5,24}, {3,32}, {7,31}, {6,25}, {7,27}, {9,19}, {9,21}, {12,18}, {11,22}, {12,25}, {2,15}, {5,26}, {8,14}, {9,17}, {6,22}, {10,23}, {3,19}, {3,18}, {8,15}, {7,28}, {2,14}, {4,20}, {9,27}, {2,31}, {2,23}, {7,26}, {1,17}, {3,13}, {10,25}, {2,16}, {2,32}, {8,21}, {2,17}, {4,28}, {10,15}, {4,29}, {5,15}, {7,20}, {7,13}, {8,17}, {5,29}, {7,14}, {3,27}, {6,26}, {1,19}, {11,18}, {12,28}, {7,30}, {4,21}, {9,25}, {4,15}, {4,25}, {10,29}, {1,26}, {11,26}, {12,24}, {12,23}, {2,24}, {6,31}, {5,22}, {2,21}, {5,27}, {10,28}, {8,32}, {4,22}, {5,20}, {10,14}, {8,16}, {8,23}, {6,16}, {3,21}, {1,14}, {11,30}, {9,18}, {11,27}, {1,20}, {1,27}, {11,32}, {3,16}, {1,13}, {3,25}, {9,29}, {11,20}, {1,28}, {3,17}, {10,20}, {6,24}, {9,32}, {5,18}, {8,30}, {9,16}, {7,17}, {4,23}, {11,24}, {1,30}, {2,30}, {4,19}, {12,13}, {6,28} }; // ETB32.32 (= ET32.37) // Bipartite(12,20) Valencies [10,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122880 EdgesBipt[32][32]:={ {1,15}, {9,13}, {7,19}, {5,32}, {5,14}, {8,31}, {12,26}, {10,22}, {6,18}, {11,23}, {9,30}, {4,14}, {3,29}, {2,22}, {1,31}, {4,27}, {12,16}, {6,23}, {11,29}, {1,25}, {6,13}, {12,15}, {12,17}, {12,22}, {5,24}, {6,32}, {7,31}, {7,27}, {3,30}, {12,27}, {2,28}, {12,25}, {3,31}, {2,18}, {2,15}, {8,13}, {10,18}, {6,22}, {10,30}, {3,19}, {8,15}, {12,30}, {4,20}, {2,23}, {7,26}, {2,32}, {1,16}, {6,21}, {8,21}, {2,17}, {7,29}, {3,14}, {2,13}, {10,16}, {4,29}, {9,23}, {10,24}, {5,19}, {8,17}, {5,29}, {11,28}, {4,30}, {6,26}, {11,18}, {4,17}, {5,28}, {9,25}, {4,15}, {4,25}, {9,15}, {1,26}, {8,19}, {11,14}, {6,31}, {11,13}, {5,22}, {2,27}, {1,23}, {5,27}, {8,27}, {10,28}, {11,19}, {9,28}, {10,14}, {11,31}, {3,26}, {3,24}, {5,17}, {9,24}, {8,23}, {7,16}, {6,16}, {11,21}, {3,21}, {9,18}, {1,20}, {7,22}, {3,16}, {1,13}, {8,25}, {7,32}, {10,32}, {3,20}, {7,21}, {9,14}, {2,25}, {12,32}, {10,20}, {5,18}, {10,26}, {7,17}, {11,24}, {1,30}, {1,21}, {12,20}, {4,19}, {4,24}, {9,20}, {8,29}, {6,28} }; // ETB32.33 (= ET32.38) // Bipartite(16,16) Valencies [10,10] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 23040 EdgesBipt[32][33]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {13,32}, {9,28}, {4,27}, {13,21}, {14,19}, {15,24}, {16,26}, {11,25}, {16,27}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {16,31}, {4,29}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {1,19}, {5,20}, {1,21}, {16,18}, {16,25}, {2,28}, {5,32}, {14,28}, {8,31}, {8,27}, {16,29}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {16,30}, {15,29}, {6,21}, {2,25}, {6,31}, {1,17}, {5,22}, {4,22}, {9,29}, {1,18}, {7,20}, {14,21}, {12,17}, {15,32}, {16,24}, {9,26}, {9,27}, {5,29}, {9,19}, {14,30}, {11,22}, {7,25}, {10,28}, {1,22}, {15,27}, {6,30}, {5,23}, {10,31}, {13,22}, {15,19}, {2,20}, {7,30}, {13,31}, {11,21}, {7,26}, {2,32}, {16,32}, {11,23}, {11,29}, {6,24}, {5,24}, {13,25}, {15,20}, {13,28}, {4,28}, {3,29}, {8,26}, {9,22}, {7,31}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {1,24}, {12,23}, {13,24}, {6,27}, {5,31}, {12,19}, {12,30}, {3,23}, {8,23}, {3,21}, {1,25}, {7,29}, {6,28}, {9,30}, {14,20}, {15,21}, {16,17}, {13,26}, {11,26}, {7,23}, {13,19}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {11,32}, {14,32}, {8,24}, {5,26}, {8,18}, {4,18}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {15,23}, {3,31}, {9,24}, {10,20}, {12,31}, {5,19}, {6,20}, {2,30}, {15,30}, {2,18}, {9,23}, {7,21}, {4,32}, {12,18}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB32.34 (= ET32.40) // Bipartite(8,24) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[32][34]:={ {3,22}, {5,12}, {2,14}, {4,24}, {8,19}, {8,28}, {4,23}, {5,32}, {7,16}, {1,24}, {3,12}, {2,32}, {2,29}, {5,29}, {1,32}, {7,9}, {2,24}, {7,23}, {8,16}, {6,26}, {8,11}, {4,11}, {3,21}, {6,31}, {6,12}, {7,13}, {8,25}, {5,11}, {6,10}, {1,20}, {5,15}, {3,23}, {1,31}, {2,12}, {8,29}, {3,20}, {2,21}, {7,30}, {5,16}, {8,27}, {8,10}, {5,20}, {7,27}, {4,18}, {7,32}, {5,31}, {1,15}, {7,10}, {3,11}, {1,16}, {5,19}, {5,28}, {4,21}, {4,20}, {3,30}, {6,27}, {2,15}, {3,14}, {6,21}, {3,31}, {4,17}, {7,25}, {1,18}, {3,26}, {5,30}, {7,22}, {4,15}, {4,28}, {2,27}, {1,17}, {6,18}, {4,25}, {6,19}, {2,28}, {6,22}, {8,26}, {3,13}, {8,18}, {1,19}, {2,9}, {5,13}, {7,17}, {1,9}, {4,26}, {1,22}, {2,13}, {2,25}, {4,14}, {1,23}, {7,14}, {8,30}, {6,29}, {8,17}, {6,24}, {3,10}, {6,9} }; // ETB32.35 (= ET32.41) // Bipartite(8,24) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 34398535680000 EdgesBipt[32][35]:={ {7,19}, {5,32}, {3,15}, {8,31}, {6,10}, {6,18}, {4,14}, {2,22}, {6,14}, {4,27}, {6,17}, {7,24}, {1,25}, {6,13}, {5,24}, {3,32}, {1,9}, {7,31}, {6,25}, {7,27}, {1,32}, {7,23}, {7,15}, {5,13}, {3,31}, {2,18}, {6,9}, {4,26}, {8,14}, {7,11}, {6,22}, {5,9}, {5,21}, {2,29}, {3,19}, {1,29}, {8,22}, {7,28}, {8,15}, {2,14}, {3,11}, {2,10}, {1,17}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {2,13}, {1,12}, {7,20}, {8,26}, {3,23}, {5,29}, {4,31}, {3,27}, {4,30}, {6,26}, {8,11}, {5,28}, {4,15}, {2,9}, {8,19}, {6,29}, {4,11}, {2,21}, {6,30}, {8,27}, {5,20}, {4,22}, {3,28}, {3,24}, {5,17}, {3,12}, {8,23}, {7,16}, {1,20}, {3,16}, {1,13}, {4,18}, {7,32}, {2,26}, {3,20}, {5,12}, {2,25}, {1,28}, {8,30}, {4,23}, {7,12}, {5,16}, {2,30}, {1,21}, {5,25}, {4,19}, {4,10}, {1,24} }; // ETB32.36 (= ET32.42) // Bipartite(8,24) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 73383542784 EdgesBipt[32][36]:={ {1,15}, {7,19}, {5,32}, {6,12}, {5,14}, {8,24}, {8,31}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {2,22}, {1,9}, {7,31}, {1,32}, {7,23}, {3,10}, {2,28}, {3,31}, {2,18}, {6,9}, {2,15}, {5,26}, {4,26}, {8,14}, {8,13}, {7,11}, {6,22}, {5,9}, {5,21}, {3,19}, {1,29}, {4,12}, {7,28}, {7,10}, {5,23}, {3,11}, {2,10}, {4,20}, {1,17}, {3,13}, {2,16}, {6,21}, {8,18}, {7,29}, {7,25}, {3,22}, {5,15}, {8,26}, {7,13}, {3,23}, {5,29}, {4,31}, {4,30}, {6,15}, {4,25}, {2,9}, {1,26}, {8,19}, {2,24}, {2,27}, {1,23}, {2,21}, {5,27}, {6,30}, {2,12}, {5,20}, {8,32}, {3,28}, {5,17}, {8,20}, {7,16}, {6,16}, {1,14}, {4,32}, {1,20}, {1,27}, {5,11}, {7,22}, {3,16}, {4,18}, {3,25}, {8,25}, {3,17}, {6,24}, {8,30}, {6,27}, {7,17}, {4,13}, {1,21}, {2,30}, {4,19}, {4,24}, {8,12}, {6,28} }; // ETB32.37 (= ET32.43) // Bipartite(8,24) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9172942848 EdgesBipt[32][37]:={ {3,22}, {5,12}, {2,14}, {4,9}, {8,28}, {8,20}, {2,26}, {5,24}, {2,32}, {1,29}, {5,29}, {7,31}, {7,12}, {8,16}, {4,10}, {3,21}, {3,27}, {6,12}, {7,13}, {5,11}, {6,10}, {6,30}, {8,24}, {3,23}, {4,16}, {1,31}, {3,9}, {3,29}, {2,21}, {7,30}, {8,32}, {4,32}, {5,23}, {6,16}, {8,10}, {7,32}, {5,25}, {5,31}, {1,15}, {3,11}, {2,31}, {3,16}, {3,28}, {2,20}, {3,15}, {7,18}, {3,17}, {5,19}, {1,21}, {4,27}, {4,21}, {4,20}, {5,17}, {2,15}, {8,12}, {7,25}, {5,30}, {8,22}, {4,15}, {1,27}, {7,20}, {4,28}, {2,27}, {1,17}, {7,19}, {4,22}, {6,18}, {6,22}, {2,19}, {8,26}, {5,18}, {6,17}, {1,13}, {8,14}, {8,18}, {1,19}, {2,9}, {5,13}, {6,11}, {1,9}, {4,26}, {2,13}, {2,25}, {4,14}, {6,28}, {1,23}, {7,14}, {8,30}, {1,11}, {1,25}, {6,29}, {6,23}, {7,24}, {6,24}, {3,10}, {7,26} }; // ETB32.38 (= ET32.44) // Bipartite(8,24) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 322486272 EdgesBipt[32][38]:={ {1,15}, {7,19}, {6,12}, {8,31}, {6,10}, {6,18}, {3,29}, {2,22}, {1,31}, {6,17}, {4,27}, {7,24}, {1,25}, {4,16}, {6,13}, {1,9}, {7,31}, {6,25}, {7,27}, {3,30}, {1,32}, {7,23}, {7,15}, {3,10}, {6,9}, {5,26}, {8,14}, {7,11}, {2,29}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {2,14}, {5,23}, {3,11}, {4,20}, {1,17}, {3,13}, {2,16}, {2,32}, {1,16}, {6,21}, {8,10}, {8,18}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,22}, {5,19}, {5,15}, {8,26}, {8,17}, {7,14}, {3,27}, {6,26}, {7,30}, {4,21}, {5,28}, {2,9}, {6,29}, {2,24}, {4,11}, {1,23}, {2,21}, {5,27}, {8,9}, {5,20}, {3,26}, {5,31}, {8,23}, {7,16}, {6,20}, {3,21}, {4,32}, {1,20}, {5,11}, {7,22}, {5,10}, {7,32}, {8,25}, {5,12}, {2,25}, {1,28}, {5,18}, {8,30}, {4,13}, {2,30}, {4,19}, {4,24}, {1,24}, {6,28} }; // ETB32.39 (= ET32.45) // Bipartite(8,24) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 786432 EdgesBipt[32][39]:={ {1,15}, {7,19}, {5,14}, {3,15}, {6,14}, {5,30}, {1,31}, {4,27}, {2,11}, {7,24}, {2,20}, {1,25}, {6,13}, {1,9}, {6,32}, {7,31}, {6,25}, {3,10}, {2,28}, {3,31}, {6,9}, {5,26}, {8,14}, {8,13}, {5,9}, {5,21}, {2,29}, {3,19}, {4,12}, {8,22}, {7,28}, {7,10}, {5,23}, {3,11}, {4,20}, {2,23}, {2,16}, {2,32}, {6,21}, {8,10}, {2,17}, {8,18}, {7,29}, {3,14}, {1,12}, {7,25}, {3,22}, {5,19}, {8,26}, {7,13}, {8,17}, {3,23}, {5,29}, {3,27}, {4,30}, {6,26}, {6,15}, {1,19}, {4,15}, {2,9}, {2,24}, {4,11}, {2,21}, {2,12}, {4,22}, {8,32}, {3,28}, {3,26}, {5,31}, {5,17}, {8,20}, {7,16}, {6,20}, {6,16}, {4,32}, {1,27}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {8,25}, {5,18}, {8,30}, {6,27}, {7,17}, {4,23}, {1,30}, {7,12}, {1,21}, {1,18}, {4,10}, {4,24}, {1,24}, {8,29}, {6,28} }; // ETB32.40 (= ET32.46) // Bipartite(16,16) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2304 EdgesBipt[32][40]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {13,32}, {9,28}, {6,32}, {4,27}, {4,24}, {4,26}, {4,30}, {11,25}, {16,27}, {8,30}, {6,17}, {2,23}, {12,32}, {8,28}, {15,31}, {1,32}, {3,25}, {10,23}, {10,26}, {4,19}, {16,19}, {7,22}, {4,31}, {1,19}, {2,27}, {14,31}, {1,21}, {16,18}, {16,25}, {2,28}, {5,32}, {14,28}, {4,23}, {8,27}, {13,29}, {16,29}, {10,22}, {3,18}, {11,28}, {6,29}, {16,30}, {15,29}, {2,25}, {14,23}, {6,31}, {1,17}, {5,22}, {4,22}, {9,29}, {1,18}, {7,20}, {14,21}, {12,17}, {15,32}, {16,24}, {12,20}, {9,19}, {5,25}, {15,26}, {11,22}, {7,25}, {11,31}, {14,24}, {1,22}, {15,27}, {10,29}, {10,31}, {3,20}, {13,22}, {15,19}, {10,21}, {6,18}, {1,29}, {7,30}, {13,31}, {7,26}, {2,32}, {5,18}, {16,32}, {1,23}, {11,29}, {6,24}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {9,20}, {1,28}, {3,27}, {15,17}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {12,23}, {14,22}, {13,24}, {6,27}, {5,31}, {12,19}, {12,30}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {14,20}, {15,21}, {14,25}, {16,17}, {16,21}, {13,26}, {11,26}, {15,18}, {7,23}, {13,19}, {2,21}, {3,30}, {9,18}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {11,32}, {9,17}, {10,18}, {16,20}, {8,24}, {6,25}, {2,31}, {5,26}, {8,18}, {4,18}, {15,28}, {10,19}, {4,20}, {12,24}, {8,20}, {3,28}, {7,27}, {15,23}, {3,31}, {9,24}, {5,19}, {6,20}, {5,21}, {2,30}, {15,30}, {13,20}, {9,31}, {7,19}, {4,17}, {9,21}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {11,18}, {12,21}, {14,26} }; // ETB32.41 (= ET32.47) // Bipartite(16,16) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 5283615080448 EdgesBipt[32][41]:={ {10,25}, {1,20}, {5,17}, {11,20}, {13,32}, {9,28}, {4,27}, {12,29}, {13,21}, {14,19}, {4,24}, {15,24}, {3,22}, {16,27}, {6,17}, {2,23}, {12,32}, {8,28}, {16,31}, {15,31}, {4,29}, {1,32}, {10,23}, {10,26}, {4,19}, {16,19}, {7,22}, {4,31}, {2,19}, {2,27}, {5,20}, {2,26}, {14,31}, {1,21}, {16,25}, {8,25}, {1,30}, {5,32}, {16,23}, {4,23}, {8,31}, {8,27}, {13,29}, {16,29}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {6,21}, {2,25}, {14,23}, {6,31}, {1,17}, {5,22}, {8,19}, {9,29}, {1,18}, {7,20}, {9,32}, {14,21}, {12,17}, {15,32}, {16,24}, {9,26}, {12,20}, {5,29}, {14,30}, {5,25}, {7,32}, {15,26}, {11,22}, {11,31}, {1,22}, {15,27}, {6,30}, {4,21}, {10,29}, {10,31}, {3,20}, {13,22}, {15,19}, {10,21}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {3,32}, {9,25}, {7,26}, {5,18}, {16,32}, {11,23}, {5,30}, {11,30}, {5,24}, {12,28}, {12,25}, {13,25}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {4,28}, {6,23}, {3,26}, {5,28}, {9,22}, {7,31}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {1,24}, {12,23}, {14,22}, {13,24}, {11,24}, {6,27}, {12,19}, {6,26}, {3,23}, {8,23}, {1,25}, {6,19}, {9,30}, {14,25}, {16,17}, {16,21}, {7,28}, {13,26}, {11,26}, {15,18}, {7,23}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {15,22}, {11,32}, {9,17}, {10,18}, {16,20}, {8,24}, {6,25}, {2,31}, {5,26}, {15,28}, {11,19}, {10,19}, {4,25}, {4,20}, {12,24}, {8,20}, {3,28}, {7,27}, {15,23}, {7,24}, {3,31}, {9,24}, {12,31}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {7,19}, {4,17}, {9,21}, {16,28}, {14,27}, {8,29}, {4,32}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB32.42 (= ET32.48) // Bipartite(16,16) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 294912 EdgesBipt[32][42]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {13,32}, {4,27}, {12,29}, {13,21}, {4,24}, {15,24}, {16,26}, {4,26}, {3,22}, {11,25}, {16,27}, {8,30}, {6,17}, {2,23}, {12,32}, {8,28}, {16,31}, {15,31}, {4,29}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {16,19}, {7,22}, {4,31}, {1,19}, {5,20}, {2,26}, {14,31}, {1,21}, {16,18}, {2,28}, {1,30}, {5,32}, {16,23}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {16,30}, {6,21}, {14,23}, {2,25}, {6,31}, {1,17}, {5,22}, {8,19}, {9,29}, {7,20}, {14,21}, {15,32}, {16,24}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {7,32}, {15,26}, {1,31}, {11,22}, {7,25}, {11,31}, {10,28}, {14,24}, {1,22}, {6,30}, {5,23}, {10,29}, {4,21}, {3,20}, {13,22}, {15,19}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {3,32}, {9,25}, {7,26}, {2,32}, {16,32}, {11,23}, {11,29}, {6,24}, {5,30}, {7,17}, {13,23}, {12,25}, {8,22}, {13,28}, {15,20}, {9,20}, {3,27}, {15,17}, {3,29}, {6,23}, {5,28}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {1,24}, {12,23}, {14,22}, {6,27}, {12,19}, {3,23}, {8,23}, {10,32}, {1,25}, {6,28}, {9,30}, {13,27}, {14,25}, {16,21}, {7,28}, {13,26}, {15,18}, {13,19}, {2,21}, {10,17}, {2,29}, {11,27}, {1,26}, {15,22}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {5,27}, {5,26}, {8,18}, {4,18}, {15,28}, {11,19}, {4,25}, {4,20}, {12,24}, {3,28}, {7,24}, {3,31}, {9,24}, {10,20}, {12,31}, {5,19}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {9,31}, {7,19}, {9,21}, {16,28}, {14,27}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {7,18} }; // ETB32.43 (= ET32.52) // Bipartite(4,28) Valencies [14,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5161930260480000 EdgesBipt[32][43]:={ {3,32}, {2,14}, {4,23}, {1,24}, {3,12}, {2,26}, {1,29}, {2,30}, {2,29}, {1,32}, {2,10}, {4,11}, {4,10}, {3,27}, {2,6}, {4,7}, {1,20}, {1,12}, {4,31}, {3,8}, {3,23}, {3,24}, {3,20}, {2,21}, {4,6}, {4,30}, {4,18}, {3,11}, {3,16}, {3,7}, {3,28}, {1,16}, {3,15}, {2,18}, {1,21}, {4,27}, {3,19}, {2,5}, {3,31}, {1,5}, {4,15}, {1,17}, {4,22}, {1,28}, {2,17}, {1,8}, {1,13}, {2,9}, {1,9}, {4,26}, {2,13}, {2,25}, {4,14}, {4,19}, {1,25}, {2,22} }; // ETB32.44 (= ET32.53) // Bipartite(16,16) Valencies [14,14] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 5284823040 EdgesBipt[32][44]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {13,32}, {6,32}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {16,26}, {4,26}, {3,22}, {4,30}, {11,25}, {16,27}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {16,31}, {15,31}, {4,29}, {1,32}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {16,19}, {7,22}, {4,31}, {1,19}, {5,20}, {2,26}, {1,21}, {16,18}, {2,28}, {1,30}, {5,32}, {16,23}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {16,29}, {10,22}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {16,30}, {15,29}, {6,21}, {2,25}, {1,17}, {4,22}, {8,19}, {9,29}, {7,20}, {9,32}, {14,21}, {12,17}, {16,24}, {9,27}, {5,29}, {9,19}, {14,30}, {5,25}, {15,26}, {1,31}, {11,22}, {7,25}, {10,28}, {11,31}, {14,24}, {1,22}, {15,27}, {6,30}, {5,23}, {10,29}, {4,21}, {10,31}, {3,20}, {15,19}, {10,21}, {2,20}, {6,18}, {13,18}, {1,29}, {7,30}, {13,31}, {3,32}, {9,25}, {7,26}, {2,32}, {5,18}, {16,32}, {11,23}, {1,23}, {6,24}, {7,17}, {11,30}, {5,24}, {13,23}, {12,25}, {8,22}, {13,25}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {15,17}, {3,26}, {5,28}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {5,31}, {11,24}, {6,27}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {13,27}, {14,20}, {15,21}, {14,25}, {16,21}, {7,28}, {11,26}, {13,26}, {15,18}, {7,23}, {13,19}, {2,21}, {3,30}, {10,17}, {3,24}, {2,29}, {11,27}, {2,22}, {15,22}, {11,32}, {9,17}, {10,18}, {14,32}, {16,20}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {15,28}, {11,19}, {4,25}, {3,28}, {8,20}, {12,24}, {7,27}, {15,23}, {3,31}, {9,24}, {10,20}, {12,31}, {5,19}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {16,28}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB32.45 (= ET32.54) // Bipartite(12,20) Valencies [15,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6449725440000 EdgesBipt[32][45]:={ {10,25}, {1,20}, {5,17}, {11,20}, {9,28}, {4,27}, {12,29}, {7,15}, {4,24}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {12,32}, {8,28}, {4,29}, {1,32}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,31}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {8,16}, {6,21}, {2,25}, {6,31}, {1,17}, {5,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {12,20}, {5,29}, {5,25}, {7,32}, {11,15}, {11,22}, {9,14}, {11,31}, {1,22}, {12,13}, {6,30}, {12,16}, {4,21}, {10,29}, {10,31}, {3,20}, {10,21}, {2,13}, {6,18}, {1,29}, {7,30}, {8,17}, {3,32}, {9,25}, {7,16}, {7,26}, {5,18}, {11,23}, {5,30}, {11,30}, {5,24}, {12,28}, {12,25}, {8,13}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {6,23}, {3,26}, {5,28}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {6,26}, {12,19}, {3,23}, {8,23}, {1,25}, {6,19}, {12,15}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,26}, {11,19}, {10,19}, {4,25}, {4,20}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,24}, {3,31}, {9,24}, {1,14}, {12,31}, {10,14}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {8,29}, {4,32}, {11,18}, {12,21}, {7,18}, {5,16} }; // ETB32.46 (= ET32.55) // Bipartite(16,16) Valencies [15,15] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 41845579776000 EdgesBipt[32][46]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {13,32}, {6,32}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {15,24}, {16,26}, {4,26}, {3,22}, {4,30}, {11,25}, {16,27}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {16,31}, {15,31}, {4,29}, {1,32}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {16,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {16,18}, {16,25}, {8,25}, {2,28}, {1,30}, {5,32}, {16,23}, {14,28}, {4,23}, {8,31}, {13,29}, {16,29}, {10,22}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {16,30}, {15,29}, {6,21}, {2,25}, {14,23}, {6,31}, {1,17}, {4,22}, {8,19}, {9,29}, {7,20}, {9,32}, {14,21}, {12,17}, {16,24}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {7,25}, {11,31}, {14,24}, {1,22}, {15,27}, {6,30}, {5,23}, {10,29}, {4,21}, {10,31}, {3,20}, {13,22}, {15,19}, {10,21}, {2,20}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {13,31}, {3,32}, {11,21}, {9,25}, {7,26}, {2,32}, {5,18}, {16,32}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {4,28}, {15,17}, {3,29}, {6,23}, {5,28}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {14,22}, {5,31}, {6,27}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {7,29}, {6,28}, {13,27}, {14,20}, {15,21}, {14,25}, {16,21}, {7,28}, {11,26}, {13,26}, {15,18}, {7,23}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {2,22}, {15,22}, {11,32}, {9,17}, {10,18}, {14,32}, {16,20}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {15,28}, {11,19}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {15,23}, {7,24}, {3,31}, {9,24}, {10,20}, {12,31}, {5,19}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {16,28}, {9,23}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB32.47 (= ET32.58) // Bipartite(16,16) Valencies [16,16] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 875526273394790105088000000 EdgesBipt[32][47]:={ {11,17}, {10,24}, {1,20}, {5,17}, {2,24}, {10,25}, {11,20}, {9,28}, {13,32}, {6,32}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {15,24}, {16,26}, {4,26}, {3,22}, {4,30}, {11,25}, {16,27}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {16,31}, {15,31}, {4,29}, {1,32}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {16,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {14,31}, {1,21}, {16,18}, {16,25}, {8,25}, {2,28}, {1,30}, {5,32}, {16,23}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {16,29}, {10,22}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {16,30}, {15,29}, {6,21}, {2,25}, {14,23}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {9,32}, {14,21}, {12,17}, {15,32}, {16,24}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {7,25}, {10,28}, {11,31}, {14,24}, {1,22}, {15,27}, {6,30}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {13,22}, {15,19}, {10,21}, {2,20}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {13,31}, {3,32}, {11,21}, {9,25}, {7,26}, {2,32}, {5,18}, {16,32}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {4,28}, {15,17}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {13,27}, {14,20}, {15,21}, {14,25}, {16,17}, {16,21}, {7,28}, {11,26}, {13,26}, {15,18}, {7,23}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {15,22}, {11,32}, {9,17}, {10,18}, {14,32}, {16,20}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {15,28}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {15,23}, {7,24}, {3,31}, {9,24}, {10,20}, {12,31}, {5,19}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {16,28}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB32.48 (= ET32.59) // Bipartite(15,17) Valencies [17,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 465123332740982243328000000 EdgesBipt[32][48]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {13,32}, {6,32}, {6,16}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {15,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {15,31}, {4,29}, {1,32}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {14,31}, {1,21}, {8,25}, {2,28}, {1,30}, {5,32}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {15,29}, {6,21}, {2,25}, {14,23}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {9,32}, {14,21}, {12,17}, {15,32}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {7,25}, {10,28}, {11,31}, {14,24}, {1,22}, {15,27}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {13,22}, {15,19}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {3,32}, {11,21}, {9,25}, {7,16}, {7,26}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {4,28}, {15,17}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {13,27}, {14,20}, {15,21}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {15,18}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {15,22}, {11,32}, {9,17}, {10,18}, {14,32}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {15,28}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {15,23}, {7,24}, {3,31}, {9,24}, {10,20}, {12,31}, {5,19}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB32.49 (= ET32.60) // Bipartite(8,24) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 103195607040000 EdgesBipt[32][49]:={ {7,19}, {5,32}, {5,14}, {3,15}, {8,24}, {8,31}, {6,10}, {6,18}, {2,22}, {6,14}, {5,30}, {4,27}, {6,17}, {2,11}, {7,24}, {6,23}, {1,25}, {4,16}, {6,13}, {5,24}, {3,32}, {1,9}, {6,25}, {7,31}, {7,27}, {3,30}, {1,32}, {7,15}, {7,23}, {5,13}, {3,10}, {3,31}, {2,19}, {2,18}, {2,15}, {6,9}, {5,26}, {8,13}, {5,9}, {6,22}, {7,11}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {7,28}, {8,15}, {7,10}, {2,14}, {3,11}, {2,10}, {4,20}, {6,11}, {2,31}, {2,23}, {1,10}, {7,26}, {8,28}, {1,17}, {1,22}, {1,16}, {6,21}, {2,17}, {8,21}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,22}, {7,20}, {3,23}, {8,17}, {5,29}, {7,14}, {4,31}, {3,27}, {6,15}, {6,26}, {8,11}, {4,21}, {7,30}, {4,17}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {8,19}, {6,29}, {6,31}, {4,11}, {5,22}, {2,27}, {6,19}, {2,21}, {6,30}, {8,27}, {7,18}, {8,9}, {5,20}, {8,32}, {3,28}, {3,26}, {3,24}, {5,17}, {8,16}, {3,12}, {8,20}, {8,23}, {7,16}, {1,14}, {4,32}, {1,20}, {7,22}, {3,16}, {1,13}, {5,10}, {7,32}, {8,25}, {2,26}, {3,20}, {5,12}, {2,25}, {1,28}, {4,9}, {5,18}, {6,27}, {4,23}, {1,30}, {5,16}, {7,12}, {4,13}, {1,21}, {2,30}, {1,18}, {5,25}, {4,19}, {4,24}, {8,12}, {1,24}, {8,29} }; // ETB32.50 (= ET32.61) // Bipartite(14,18) Valencies [18,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 558147999289178691993600000 EdgesBipt[32][50]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {13,32}, {6,32}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {14,19}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {4,29}, {1,32}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {14,31}, {1,21}, {8,25}, {2,28}, {1,30}, {5,32}, {8,15}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {14,23}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {9,32}, {14,21}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {7,32}, {11,15}, {1,31}, {11,22}, {7,25}, {10,28}, {11,31}, {14,24}, {1,22}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {13,22}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {3,32}, {11,21}, {9,25}, {7,16}, {7,26}, {2,32}, {5,18}, {14,15}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {9,20}, {4,15}, {1,28}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {6,15}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {9,30}, {13,27}, {14,20}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {11,32}, {9,17}, {10,18}, {14,32}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {9,24}, {10,20}, {5,15}, {12,31}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {13,17}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {9,16}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB32.51 (= ET32.63) // Bipartite(13,19) Valencies [19,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 757486570463885367705600000 EdgesBipt[32][51]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {13,32}, {6,32}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {4,29}, {1,32}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {11,15}, {1,31}, {11,22}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {3,32}, {11,21}, {9,25}, {7,16}, {7,26}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {5,14}, {9,20}, {4,15}, {1,28}, {7,14}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {6,15}, {13,30}, {2,17}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {12,14}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {13,27}, {7,28}, {3,16}, {11,26}, {13,26}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {13,14}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {1,14}, {9,24}, {10,20}, {5,15}, {12,31}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {13,17}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB32.52 (= ET32.64) // Bipartite(12,20) Valencies [20,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1165363954559823642624000000 EdgesBipt[32][52]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,32}, {6,16}, {4,27}, {12,29}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {12,22}, {12,32}, {8,28}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {11,13}, {11,15}, {1,31}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {12,13}, {6,30}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {9,25}, {7,16}, {7,26}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {12,14}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,24}, {3,31}, {1,14}, {9,24}, {10,20}, {5,15}, {12,31}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB32.53 (= ET32.66) // Bipartite(4,28) Valencies [21,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15485790781440000 EdgesBipt[32][53]:={ {2,11}, {3,22}, {3,32}, {1,26}, {2,14}, {4,8}, {4,13}, {4,9}, {4,24}, {4,23}, {1,14}, {1,24}, {2,26}, {3,12}, {1,29}, {2,30}, {1,30}, {2,29}, {1,32}, {2,10}, {1,10}, {4,11}, {1,6}, {3,27}, {2,6}, {4,7}, {1,20}, {1,12}, {4,31}, {3,8}, {3,23}, {4,16}, {3,24}, {3,20}, {2,21}, {4,32}, {4,12}, {2,7}, {3,11}, {2,31}, {1,16}, {3,7}, {3,16}, {3,28}, {3,15}, {2,18}, {1,21}, {4,27}, {4,21}, {4,20}, {3,19}, {3,30}, {2,15}, {3,14}, {2,5}, {3,18}, {3,31}, {4,5}, {4,17}, {1,18}, {3,26}, {1,5}, {4,15}, {4,28}, {2,27}, {1,17}, {3,6}, {4,25}, {2,19}, {1,28}, {2,17}, {2,23}, {1,8}, {1,13}, {2,9}, {1,9}, {1,22}, {2,13}, {2,25}, {4,19}, {1,25}, {2,22}, {3,10}, {4,29} }; // ETB32.54 (= ET32.67) // Bipartite(8,24) Valencies [21,7] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 67722117120 EdgesBipt[32][54]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,32}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {8,27}, {6,22}, {3,17}, {8,16}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {2,10}, {5,29}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {3,32}, {7,16}, {7,26}, {1,12}, {2,32}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {3,29}, {6,23}, {5,28}, {8,26}, {7,31}, {6,15}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {4,14}, {8,24}, {6,25}, {7,9}, {2,31}, {6,10}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {5,13}, {3,28}, {8,20}, {7,27}, {7,10}, {7,24}, {3,31}, {2,12}, {1,14}, {5,15}, {6,20}, {5,21}, {2,30}, {2,18}, {7,19}, {4,17}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB32.55 (= ET32.68) // Bipartite(11,21) Valencies [21,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2039386920479691374592000000 EdgesBipt[32][55]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {6,32}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {11,13}, {11,15}, {1,31}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {9,25}, {7,16}, {7,26}, {1,12}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,24}, {3,31}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB32.56 (= ET32.70) // Bipartite(10,22) Valencies [22,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4078773840959382749184000000 EdgesBipt[32][56]:={ {1,11}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {6,32}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,32}, {9,26}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {9,25}, {7,16}, {7,26}, {1,12}, {2,32}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {10,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {9,18}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,24}, {3,31}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {10,16}, {5,16} }; // ETB32.57 (= ET32.71) // Bipartite(9,23) Valencies [23,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9381179834206580323123200000 EdgesBipt[32][57]:={ {1,11}, {2,24}, {1,20}, {5,17}, {9,28}, {6,32}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,32}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {9,25}, {7,16}, {7,26}, {1,12}, {2,32}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,10}, {7,24}, {3,31}, {2,12}, {1,14}, {9,24}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB32.58 (= ET32.72) // Bipartite(8,24) Valencies [24,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 25016479557884214194995200000 EdgesBipt[32][58]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,32}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {3,14}, {7,20}, {5,11}, {2,10}, {5,29}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {7,16}, {2,32}, {1,12}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB32.59 (= ET32.74) // Bipartite(7,25) Valencies [25,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 78176498618388169359360000000 EdgesBipt[32][59]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,32}, {6,16}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {6,29}, {3,17}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {1,18}, {7,11}, {3,14}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,32}, {7,16}, {2,32}, {1,12}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {4,32}, {7,18}, {5,16} }; // ETB32.60 (= ET32.75) // Bipartite(6,26) Valencies [26,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 290369852011156057620480000000 EdgesBipt[32][60]:={ {1,11}, {2,24}, {1,20}, {5,17}, {6,16}, {6,32}, {4,27}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {6,29}, {3,17}, {3,7}, {6,21}, {2,25}, {6,31}, {4,10}, {1,17}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {1,31}, {3,12}, {1,22}, {6,12}, {6,30}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {2,32}, {1,12}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {3,16}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {6,25}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {4,17}, {4,32}, {5,16} }; // ETB32.61 (= ET32.76) // Bipartite(5,27) Valencies [27,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1306664334050202259292160000000 EdgesBipt[32][61]:={ {1,15}, {5,32}, {5,14}, {3,15}, {1,11}, {4,14}, {3,29}, {2,22}, {5,30}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {3,32}, {1,9}, {3,30}, {1,32}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {5,19}, {5,15}, {3,23}, {5,29}, {4,31}, {3,27}, {4,30}, {1,19}, {4,21}, {4,17}, {5,28}, {2,9}, {4,15}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {5,31}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {2,7}, {5,18}, {1,8}, {4,23}, {1,30}, {5,16}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB32.62 (= ET32.77) // Bipartite(4,28) Valencies [28,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7317320270681132652036096000000 EdgesBipt[32][62]:={ {1,15}, {3,15}, {1,11}, {4,14}, {3,29}, {2,22}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {3,32}, {1,9}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {2,14}, {3,11}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {3,27}, {4,30}, {1,19}, {4,21}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,26}, {2,24}, {4,11}, {2,27}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {1,28}, {3,17}, {4,9}, {2,7}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB32.63 (= ET32.79) // Bipartite(3,29) Valencies [29,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 53050571962438211727261696000000 EdgesBipt[32][63]:={ {1,15}, {3,15}, {1,11}, {3,29}, {2,22}, {1,31}, {3,7}, {2,11}, {2,20}, {1,25}, {3,32}, {1,9}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {3,27}, {1,19}, {2,9}, {3,5}, {1,4}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {1,23}, {2,21}, {1,7}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {3,6}, {2,25}, {1,28}, {3,17}, {2,7}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB32.64 (= ET32.80) // Bipartite(2,30) Valencies [30,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 530505719624382117272616960000000 EdgesBipt[32][64]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {1,31}, {2,12}, {2,4}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB32.65 (= ET32.82) // Bipartite(1,31) Valencies [31,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 8222838654177922817725562880000000 EdgesBipt[32][65]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,31}, {1,12}, {1,2}, {1,3}, {1,17}, {1,30}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,28}, {1,6}, {1,14}, {1,26}, {1,18}, {1,27}, {1,21}, {1,19}, {1,29}, {1,20}, {1,8}, {1,24}, {1,32}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 32 is 65 // ******************************************************************************************** // Order 33 // ETB33.1 (= ET33.2) // Bipartite(11,22) Valencies [4,2] // Diameter 11 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 45056 EdgesBipt[33][1]:={ {8,20}, {4,20}, {11,18}, {7,14}, {6,21}, {11,16}, {5,13}, {5,24}, {1,23}, {4,33}, {8,29}, {7,16}, {2,24}, {6,30}, {3,14}, {3,23}, {7,27}, {9,15}, {10,28}, {2,22}, {8,18}, {11,29}, {4,31}, {10,30}, {5,15}, {9,28}, {1,12}, {2,13}, {7,25}, {10,19}, {5,26}, {4,22}, {11,27}, {9,26}, {2,33}, {6,32}, {3,12}, {1,32}, {6,19}, {1,21}, {3,25}, {8,31}, {10,17}, {9,17} }; // ETB33.2 (= ET33.4) // Bipartite(15,18) Valencies [6,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 360 EdgesBipt[33][2]:={ {3,22}, {1,26}, {5,33}, {12,27}, {8,19}, {11,16}, {8,28}, {9,23}, {14,19}, {14,31}, {8,20}, {5,24}, {12,18}, {2,24}, {7,31}, {13,16}, {5,27}, {10,32}, {13,25}, {11,29}, {6,30}, {11,23}, {1,31}, {3,24}, {6,32}, {11,33}, {9,32}, {4,30}, {2,21}, {8,27}, {5,23}, {13,32}, {15,21}, {7,27}, {4,33}, {7,32}, {2,16}, {4,18}, {5,31}, {10,16}, {2,31}, {1,16}, {3,28}, {15,19}, {8,33}, {13,33}, {14,22}, {3,17}, {15,30}, {9,27}, {4,20}, {3,30}, {6,21}, {3,18}, {15,17}, {7,25}, {1,18}, {15,25}, {10,29}, {12,29}, {7,21}, {12,26}, {7,20}, {9,22}, {4,25}, {2,28}, {2,19}, {14,23}, {5,18}, {13,24}, {14,20}, {10,28}, {10,22}, {11,26}, {9,26}, {12,28}, {15,26}, {1,22}, {11,19}, {10,20}, {6,29}, {1,25}, {8,17}, {6,23}, {13,17}, {9,17}, {6,24}, {12,21}, {14,30}, {4,29} }; // ETB33.3 (= ET33.5) // Bipartite(15,18) Valencies [6,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33592320 EdgesBipt[33][3]:={ {5,33}, {15,32}, {12,27}, {4,24}, {8,19}, {11,16}, {8,28}, {13,19}, {10,27}, {7,16}, {5,24}, {8,31}, {6,33}, {2,30}, {1,29}, {13,31}, {2,29}, {9,20}, {2,24}, {14,26}, {12,33}, {5,27}, {8,16}, {15,20}, {11,28}, {6,31}, {11,20}, {13,25}, {8,25}, {13,26}, {15,27}, {4,31}, {3,23}, {10,33}, {3,29}, {9,32}, {7,30}, {4,30}, {5,21}, {13,32}, {15,21}, {4,18}, {10,16}, {9,24}, {1,16}, {7,18}, {3,17}, {2,18}, {3,25}, {11,32}, {11,22}, {3,19}, {12,23}, {6,27}, {14,32}, {6,21}, {3,31}, {13,20}, {5,30}, {7,22}, {12,29}, {8,22}, {1,17}, {4,25}, {6,19}, {1,28}, {9,18}, {14,23}, {2,17}, {7,28}, {5,18}, {6,25}, {15,33}, {2,23}, {14,20}, {9,30}, {10,28}, {10,22}, {11,26}, {9,26}, {10,21}, {14,29}, {15,26}, {1,22}, {1,23}, {4,19}, {12,17}, {14,17}, {7,24}, {12,21} }; // ETB33.4 (= ET33.7) // Bipartite(9,24) Valencies [8,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13759414272 EdgesBipt[33][4]:={ {3,22}, {4,13}, {4,24}, {5,32}, {9,23}, {6,33}, {9,20}, {2,10}, {8,23}, {1,10}, {8,11}, {6,12}, {6,30}, {4,31}, {8,24}, {3,23}, {9,11}, {1,31}, {7,33}, {8,29}, {3,29}, {2,33}, {6,15}, {9,32}, {4,30}, {2,21}, {5,20}, {4,12}, {7,27}, {9,29}, {4,18}, {2,16}, {7,32}, {5,25}, {5,31}, {3,11}, {3,16}, {3,28}, {1,16}, {3,17}, {5,19}, {7,15}, {6,27}, {2,15}, {8,12}, {6,21}, {7,21}, {7,20}, {2,27}, {6,18}, {4,25}, {2,28}, {1,28}, {5,14}, {9,14}, {5,26}, {1,13}, {8,18}, {5,13}, {1,19}, {9,26}, {1,22}, {4,19}, {7,14}, {8,30}, {1,25}, {8,17}, {2,22}, {9,17}, {6,24}, {3,10}, {7,26} }; // ETB33.5 (= ET33.8) // Bipartite(9,24) Valencies [8,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1769472 EdgesBipt[33][5]:={ {3,32}, {2,14}, {4,13}, {5,32}, {2,26}, {3,12}, {6,33}, {2,30}, {1,29}, {1,30}, {9,25}, {7,31}, {5,27}, {8,23}, {6,14}, {6,26}, {8,11}, {5,10}, {8,21}, {8,15}, {6,12}, {8,25}, {5,15}, {3,23}, {3,24}, {7,33}, {3,20}, {5,16}, {8,27}, {6,16}, {4,32}, {5,20}, {7,10}, {3,11}, {9,24}, {2,31}, {1,16}, {8,33}, {9,10}, {5,28}, {2,18}, {9,12}, {4,20}, {3,19}, {8,13}, {2,15}, {6,21}, {3,31}, {4,17}, {1,18}, {7,22}, {7,21}, {9,13}, {2,27}, {7,19}, {1,17}, {4,25}, {9,22}, {2,19}, {1,28}, {9,18}, {7,17}, {9,30}, {4,26}, {6,28}, {4,14}, {1,23}, {1,11}, {5,22}, {6,24}, {4,29}, {7,29} }; // ETB33.6 (= ET33.9) // Bipartite(6,27) Valencies [9,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 725594112 EdgesBipt[33][6]:={ {3,32}, {1,26}, {2,14}, {5,33}, {3,12}, {5,24}, {2,32}, {5,29}, {2,24}, {6,26}, {4,11}, {4,10}, {3,21}, {6,31}, {6,12}, {5,11}, {4,7}, {6,30}, {5,15}, {3,23}, {4,16}, {2,33}, {5,20}, {1,7}, {5,31}, {1,16}, {3,28}, {2,18}, {4,20}, {3,19}, {3,30}, {2,15}, {3,14}, {6,21}, {1,18}, {1,27}, {4,28}, {2,27}, {1,17}, {4,25}, {6,22}, {6,17}, {2,23}, {1,8}, {5,13}, {2,9}, {1,9}, {4,19}, {5,22}, {1,25}, {6,13}, {6,8}, {3,10}, {4,29} }; // ETB33.7 (= ET33.10) // Bipartite(11,22) Valencies [10,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 110 EdgesBipt[33][7]:={ {10,19}, {5,32}, {11,15}, {3,15}, {11,17}, {8,31}, {6,18}, {11,23}, {3,29}, {2,22}, {6,14}, {11,33}, {1,31}, {4,27}, {10,27}, {11,29}, {2,20}, {4,16}, {6,13}, {9,12}, {6,32}, {7,27}, {9,21}, {3,30}, {1,32}, {7,23}, {7,15}, {5,13}, {2,28}, {8,14}, {9,17}, {5,21}, {2,29}, {3,19}, {10,30}, {4,12}, {8,22}, {2,14}, {5,33}, {2,23}, {8,33}, {10,25}, {1,22}, {6,33}, {1,16}, {10,13}, {4,33}, {8,18}, {8,21}, {4,28}, {2,13}, {10,31}, {1,12}, {4,29}, {10,16}, {7,25}, {3,22}, {5,15}, {8,26}, {8,17}, {7,14}, {3,27}, {6,26}, {6,15}, {1,19}, {7,30}, {9,25}, {4,25}, {2,24}, {5,22}, {6,19}, {1,23}, {2,21}, {5,27}, {11,19}, {7,18}, {5,20}, {9,28}, {10,14}, {3,28}, {11,31}, {3,26}, {8,16}, {5,31}, {9,24}, {3,12}, {11,25}, {9,26}, {4,18}, {7,32}, {7,21}, {11,20}, {5,12}, {3,17}, {10,20}, {6,24}, {9,32}, {10,26}, {9,16}, {7,17}, {4,23}, {11,24}, {1,30}, {4,13}, {2,30}, {1,18}, {9,20}, {1,24}, {8,29}, {6,28} }; // ETB33.8 (= ET33.11) // Bipartite(11,22) Valencies [10,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1351680 EdgesBipt[33][8]:={ {1,15}, {10,19}, {5,32}, {11,17}, {10,22}, {6,18}, {11,23}, {9,30}, {3,29}, {11,33}, {1,31}, {7,24}, {1,25}, {6,13}, {9,19}, {9,21}, {11,22}, {7,23}, {2,28}, {9,31}, {2,15}, {5,26}, {4,26}, {9,17}, {5,21}, {10,30}, {4,12}, {3,18}, {8,22}, {5,33}, {8,33}, {10,25}, {2,16}, {2,32}, {1,16}, {10,13}, {8,21}, {2,17}, {4,28}, {7,29}, {3,14}, {2,13}, {10,15}, {1,12}, {4,29}, {7,25}, {3,22}, {10,24}, {5,15}, {7,13}, {5,29}, {7,14}, {11,28}, {3,27}, {4,30}, {10,33}, {4,17}, {9,25}, {4,15}, {1,26}, {8,19}, {6,29}, {2,24}, {6,31}, {11,13}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {11,12}, {6,30}, {8,27}, {7,18}, {8,32}, {9,28}, {5,20}, {10,14}, {3,28}, {11,31}, {8,16}, {5,31}, {8,23}, {6,16}, {6,20}, {1,14}, {1,20}, {1,27}, {3,16}, {4,18}, {7,32}, {3,25}, {2,26}, {7,21}, {11,20}, {9,14}, {3,17}, {9,32}, {6,24}, {5,18}, {8,30}, {10,26}, {6,27}, {3,33}, {4,23}, {11,24}, {7,12}, {4,19}, {9,20}, {8,12} }; // ETB33.9 (= ET33.13) // Bipartite(11,22) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1351680 EdgesBipt[33][9]:={ {10,19}, {5,32}, {6,12}, {11,17}, {4,14}, {3,29}, {2,22}, {6,14}, {10,27}, {7,24}, {6,23}, {2,20}, {7,33}, {5,24}, {3,32}, {2,33}, {6,25}, {7,27}, {9,21}, {11,16}, {1,32}, {5,13}, {2,28}, {9,31}, {3,31}, {2,19}, {5,26}, {4,26}, {8,14}, {9,17}, {10,18}, {6,22}, {5,21}, {10,30}, {1,29}, {3,18}, {8,15}, {7,28}, {5,23}, {2,31}, {2,23}, {8,28}, {3,13}, {1,22}, {6,33}, {1,16}, {10,13}, {4,33}, {8,18}, {2,17}, {7,29}, {3,14}, {2,13}, {10,15}, {10,31}, {1,12}, {10,16}, {7,25}, {10,24}, {5,15}, {8,26}, {7,13}, {8,17}, {3,23}, {7,14}, {11,28}, {4,30}, {6,26}, {6,15}, {1,19}, {4,21}, {5,28}, {4,15}, {4,25}, {9,15}, {10,29}, {8,19}, {11,14}, {2,24}, {6,31}, {9,33}, {1,23}, {5,27}, {11,19}, {7,18}, {2,12}, {4,22}, {9,28}, {11,31}, {3,24}, {5,17}, {3,12}, {11,25}, {8,23}, {7,16}, {6,20}, {6,16}, {9,26}, {11,21}, {3,21}, {11,30}, {9,18}, {11,27}, {4,32}, {1,27}, {7,22}, {11,32}, {3,25}, {8,25}, {9,29}, {3,20}, {11,20}, {1,33}, {5,12}, {10,20}, {9,32}, {8,30}, {10,26}, {6,27}, {7,17}, {1,30}, {5,16}, {4,13}, {1,21}, {2,30}, {1,18}, {4,19}, {4,24}, {8,12}, {9,20}, {8,29}, {9,22} }; // ETB33.10 (= ET33.14) // Bipartite(15,18) Valencies [12,10] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 360 EdgesBipt[33][10]:={ {11,17}, {3,33}, {10,24}, {1,20}, {5,17}, {11,20}, {13,32}, {6,16}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {2,23}, {8,28}, {15,31}, {1,32}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {2,19}, {10,33}, {2,27}, {1,19}, {5,20}, {2,26}, {14,31}, {2,28}, {1,30}, {5,32}, {8,31}, {8,27}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {10,30}, {6,29}, {6,21}, {2,25}, {14,23}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {7,20}, {9,32}, {14,21}, {12,17}, {15,32}, {12,20}, {5,29}, {14,30}, {5,25}, {7,32}, {15,26}, {10,28}, {14,24}, {15,27}, {4,33}, {10,29}, {13,22}, {15,19}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {7,30}, {8,17}, {3,32}, {11,21}, {9,25}, {7,16}, {2,32}, {6,33}, {13,33}, {1,23}, {11,29}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {1,28}, {4,28}, {1,33}, {3,29}, {6,23}, {3,26}, {7,31}, {12,33}, {2,17}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {14,22}, {13,24}, {11,24}, {6,27}, {5,31}, {12,19}, {6,26}, {12,30}, {3,23}, {1,25}, {9,30}, {13,27}, {14,20}, {15,21}, {7,28}, {11,26}, {13,26}, {15,18}, {11,16}, {7,23}, {2,21}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {1,26}, {2,22}, {1,16}, {9,17}, {10,18}, {14,32}, {8,24}, {6,25}, {9,33}, {5,27}, {8,18}, {4,18}, {15,28}, {11,19}, {4,20}, {3,28}, {7,27}, {15,23}, {3,31}, {9,24}, {10,20}, {7,33}, {12,31}, {5,19}, {6,20}, {13,17}, {15,30}, {9,31}, {9,21}, {9,16}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {14,29}, {14,26}, {5,16} }; // ETB33.11 (= ET33.15) // Bipartite(15,18) Valencies [12,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3869835264000000 EdgesBipt[33][11]:={ {11,17}, {3,33}, {10,25}, {1,20}, {5,17}, {2,24}, {11,20}, {13,32}, {9,28}, {2,33}, {6,16}, {15,24}, {4,26}, {3,22}, {4,16}, {8,30}, {2,23}, {12,22}, {15,31}, {4,29}, {1,32}, {8,33}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {2,26}, {5,32}, {4,23}, {8,27}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {6,21}, {14,23}, {11,33}, {6,31}, {14,33}, {1,17}, {4,22}, {7,20}, {14,21}, {9,27}, {5,29}, {9,19}, {14,30}, {7,32}, {1,31}, {7,25}, {10,28}, {14,24}, {1,22}, {15,27}, {6,30}, {12,16}, {5,23}, {10,29}, {10,31}, {13,22}, {15,19}, {2,20}, {6,18}, {1,29}, {8,17}, {13,31}, {11,21}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {11,23}, {1,23}, {11,29}, {6,24}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {13,25}, {13,28}, {1,28}, {3,27}, {4,28}, {8,26}, {9,22}, {7,31}, {12,33}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {6,27}, {11,24}, {12,19}, {12,30}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {14,20}, {15,21}, {7,28}, {3,16}, {13,26}, {11,26}, {15,18}, {7,23}, {13,19}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {1,26}, {1,16}, {15,22}, {11,32}, {14,32}, {15,33}, {8,24}, {6,25}, {9,33}, {5,27}, {5,26}, {8,18}, {15,28}, {10,19}, {4,25}, {4,20}, {12,24}, {8,20}, {3,28}, {3,31}, {9,24}, {10,20}, {12,31}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {9,16}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {10,16} }; // ETB33.12 (= ET33.16) // Bipartite(15,18) Valencies [12,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33592320 EdgesBipt[33][12]:={ {11,17}, {10,25}, {5,17}, {10,24}, {11,20}, {9,28}, {13,32}, {2,33}, {6,32}, {4,27}, {12,29}, {4,24}, {14,19}, {15,24}, {4,16}, {4,30}, {2,23}, {12,22}, {12,32}, {8,28}, {4,29}, {1,27}, {3,25}, {10,23}, {7,22}, {2,19}, {10,33}, {2,27}, {1,19}, {5,20}, {14,31}, {1,21}, {8,25}, {2,28}, {1,30}, {5,32}, {4,23}, {8,31}, {13,16}, {15,16}, {3,18}, {10,30}, {3,17}, {8,16}, {6,21}, {2,25}, {14,23}, {11,33}, {6,31}, {14,33}, {5,22}, {4,22}, {8,19}, {1,18}, {9,32}, {14,21}, {12,17}, {15,32}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {15,26}, {1,31}, {7,25}, {1,22}, {15,27}, {6,30}, {12,16}, {4,33}, {5,23}, {10,29}, {4,21}, {10,31}, {3,20}, {13,22}, {10,21}, {6,18}, {13,18}, {7,30}, {8,17}, {2,16}, {13,31}, {3,32}, {11,21}, {9,25}, {7,16}, {6,33}, {5,18}, {11,23}, {11,29}, {6,24}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {8,22}, {13,25}, {13,28}, {15,20}, {9,20}, {1,28}, {4,28}, {1,33}, {3,29}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {12,33}, {13,30}, {2,17}, {12,27}, {14,17}, {8,32}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {13,24}, {6,26}, {3,23}, {8,23}, {1,25}, {6,19}, {7,29}, {14,20}, {15,21}, {14,25}, {7,28}, {11,26}, {13,26}, {15,18}, {7,23}, {13,19}, {2,21}, {3,30}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {2,22}, {1,16}, {15,22}, {11,32}, {10,18}, {14,32}, {15,33}, {6,25}, {2,31}, {9,33}, {5,26}, {4,18}, {15,28}, {10,19}, {8,20}, {7,24}, {3,31}, {6,20}, {15,30}, {13,20}, {9,31}, {7,19}, {4,17}, {9,21}, {9,16}, {14,27}, {8,29}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {5,16} }; // ETB33.13 (= ET33.17) // Bipartite(12,21) Valencies [14,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10618827964416000 EdgesBipt[33][13]:={ {11,17}, {3,33}, {10,25}, {1,20}, {5,17}, {2,24}, {11,20}, {9,28}, {2,33}, {6,16}, {4,26}, {3,22}, {4,16}, {8,30}, {2,23}, {1,13}, {12,22}, {4,29}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {2,26}, {11,14}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {10,22}, {6,22}, {3,18}, {6,21}, {6,31}, {11,33}, {1,17}, {4,22}, {7,20}, {9,27}, {5,29}, {9,19}, {8,14}, {11,15}, {7,32}, {1,31}, {7,13}, {7,25}, {10,28}, {1,22}, {12,13}, {6,30}, {12,16}, {5,23}, {10,29}, {10,31}, {2,20}, {6,18}, {1,29}, {8,17}, {11,21}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {10,13}, {8,26}, {9,22}, {7,31}, {12,33}, {6,15}, {2,17}, {9,13}, {12,27}, {8,32}, {8,21}, {3,19}, {6,27}, {11,24}, {12,19}, {12,30}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {12,15}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {1,26}, {1,16}, {4,14}, {11,32}, {8,24}, {6,25}, {9,33}, {5,27}, {5,26}, {8,18}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {3,31}, {9,24}, {1,14}, {10,20}, {5,15}, {12,31}, {10,14}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,21}, {9,16}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {10,16} }; // ETB33.14 (= ET33.18) // Bipartite(9,24) Valencies [16,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 84950623715328000 EdgesBipt[33][14]:={ {9,13}, {7,19}, {5,32}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {4,14}, {1,11}, {9,30}, {5,30}, {1,31}, {2,11}, {2,20}, {1,25}, {4,16}, {6,13}, {9,12}, {5,24}, {2,33}, {6,25}, {7,31}, {9,19}, {9,21}, {3,30}, {1,32}, {7,23}, {3,10}, {9,31}, {3,31}, {9,10}, {2,18}, {2,15}, {5,26}, {4,26}, {8,14}, {6,22}, {7,11}, {5,21}, {2,29}, {3,19}, {1,29}, {3,18}, {7,28}, {8,15}, {7,10}, {2,14}, {5,33}, {5,23}, {4,20}, {9,27}, {2,23}, {1,10}, {7,26}, {8,33}, {1,17}, {3,13}, {1,22}, {2,32}, {6,33}, {1,16}, {6,21}, {2,17}, {8,18}, {8,21}, {4,28}, {7,29}, {4,29}, {7,25}, {3,22}, {5,15}, {7,20}, {8,26}, {7,13}, {8,17}, {5,29}, {7,14}, {4,31}, {3,27}, {6,15}, {1,19}, {8,11}, {4,17}, {9,25}, {4,25}, {9,15}, {1,26}, {2,24}, {6,31}, {9,33}, {4,11}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {6,30}, {8,27}, {2,12}, {4,22}, {5,20}, {8,32}, {9,28}, {3,28}, {3,24}, {5,17}, {9,24}, {3,12}, {8,20}, {8,23}, {6,16}, {7,16}, {3,21}, {1,14}, {9,18}, {4,32}, {1,20}, {5,11}, {7,22}, {3,16}, {1,13}, {3,25}, {7,32}, {2,26}, {5,12}, {1,28}, {6,24}, {5,18}, {8,30}, {6,27}, {9,16}, {3,33}, {7,17}, {4,23}, {4,13}, {2,30}, {4,19}, {4,10}, {8,12}, {8,29}, {6,28}, {9,22} }; // ETB33.15 (= ET33.19) // Bipartite(9,24) Valencies [16,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13759414272 EdgesBipt[33][15]:={ {7,19}, {5,32}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {1,11}, {9,30}, {3,29}, {2,22}, {5,30}, {1,31}, {7,24}, {2,20}, {1,25}, {4,16}, {6,13}, {9,12}, {7,33}, {5,24}, {3,32}, {2,33}, {6,25}, {7,31}, {7,27}, {9,21}, {1,32}, {7,15}, {5,13}, {3,10}, {2,28}, {2,19}, {2,15}, {5,26}, {9,17}, {6,22}, {1,29}, {4,12}, {8,22}, {8,15}, {2,14}, {5,23}, {3,11}, {2,10}, {9,27}, {2,31}, {1,10}, {7,26}, {8,33}, {8,28}, {1,17}, {2,16}, {1,22}, {2,32}, {6,33}, {1,16}, {6,21}, {8,10}, {8,18}, {8,21}, {4,28}, {3,14}, {2,13}, {4,29}, {7,25}, {3,22}, {5,19}, {9,23}, {7,20}, {3,23}, {7,13}, {8,17}, {5,29}, {7,14}, {4,31}, {3,27}, {4,30}, {6,15}, {1,19}, {8,11}, {7,30}, {4,17}, {4,25}, {9,15}, {1,26}, {6,31}, {9,33}, {4,11}, {2,27}, {6,19}, {1,23}, {2,21}, {6,30}, {8,27}, {7,18}, {5,20}, {4,22}, {3,28}, {3,26}, {5,31}, {5,17}, {8,16}, {9,24}, {8,23}, {6,16}, {9,26}, {3,21}, {1,14}, {9,18}, {1,20}, {9,11}, {5,11}, {3,16}, {1,13}, {4,18}, {7,32}, {9,29}, {2,26}, {3,20}, {7,21}, {5,12}, {2,25}, {9,14}, {1,28}, {3,17}, {6,24}, {9,32}, {5,18}, {8,30}, {6,27}, {3,33}, {4,23}, {7,12}, {4,13}, {5,25}, {4,19}, {4,10}, {4,24}, {8,12}, {9,20}, {8,29}, {6,28} }; // ETB33.16 (= ET33.20) // Bipartite(9,24) Valencies [16,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1769472 EdgesBipt[33][16]:={ {1,15}, {5,14}, {3,15}, {8,24}, {8,31}, {6,10}, {6,18}, {3,29}, {2,22}, {5,30}, {1,31}, {6,17}, {4,27}, {2,11}, {7,24}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {2,33}, {6,32}, {6,25}, {7,27}, {9,19}, {9,21}, {3,30}, {1,32}, {7,15}, {7,23}, {5,13}, {3,10}, {2,28}, {9,31}, {5,26}, {8,14}, {9,17}, {6,22}, {7,11}, {5,21}, {2,29}, {4,12}, {3,18}, {8,22}, {7,28}, {5,33}, {5,23}, {2,10}, {6,11}, {9,27}, {2,23}, {1,10}, {7,26}, {8,28}, {3,13}, {2,16}, {1,22}, {2,32}, {4,33}, {2,17}, {8,10}, {8,18}, {4,28}, {3,14}, {2,13}, {1,12}, {7,25}, {3,22}, {5,19}, {9,23}, {7,20}, {8,26}, {7,13}, {8,17}, {5,29}, {7,14}, {4,31}, {3,27}, {4,30}, {6,15}, {1,19}, {4,21}, {7,30}, {4,15}, {9,15}, {1,26}, {8,19}, {6,29}, {2,24}, {6,31}, {9,33}, {4,11}, {6,19}, {2,21}, {6,30}, {7,18}, {2,12}, {4,22}, {8,32}, {9,28}, {3,28}, {3,26}, {5,31}, {5,17}, {8,16}, {8,20}, {6,20}, {7,16}, {9,26}, {3,21}, {1,14}, {1,20}, {1,27}, {9,11}, {5,11}, {3,16}, {1,13}, {4,18}, {3,25}, {7,32}, {9,29}, {1,33}, {5,12}, {2,25}, {9,14}, {3,17}, {9,32}, {5,18}, {8,30}, {6,27}, {9,16}, {3,33}, {4,23}, {7,12}, {1,21}, {5,25}, {4,19}, {4,10}, {4,24}, {8,12}, {9,20}, {1,24}, {8,29} }; // ETB33.17 (= ET33.21) // Bipartite(16,17) Valencies [17,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7441973323855715893248000000 EdgesBipt[33][17]:={ {13,21}, {15,33}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {16,22}, {4,31}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,28}, {5,32}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {9,18}, {10,17}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {15,19}, {1,29}, {6,18}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {13,19}, {14,32}, {1,26}, {3,17}, {8,22}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {4,21}, {13,17}, {7,19}, {4,32}, {16,18}, {1,30}, {13,18}, {14,28}, {11,21}, {8,17}, {16,29}, {16,17}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {14,23}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {6,23}, {16,31}, {15,17}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {15,29}, {2,22}, {16,20}, {2,31}, {14,19}, {1,33}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {7,25}, {7,22}, {6,26}, {14,18}, {5,21}, {6,28}, {16,23}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {1,23}, {10,24}, {11,20}, {15,18}, {10,27}, {5,17}, {16,33}, {7,17}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {14,17}, {16,19}, {10,32}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {5,30} }; // ETB33.18 (= ET33.22) // Bipartite(6,27) Valencies [18,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2293666840313856000 EdgesBipt[33][18]:={ {5,32}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {5,30}, {4,8}, {3,7}, {1,31}, {2,11}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {2,33}, {6,25}, {6,7}, {3,30}, {1,32}, {3,10}, {3,31}, {2,18}, {6,9}, {2,15}, {5,26}, {4,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {3,18}, {2,14}, {5,33}, {5,23}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {1,22}, {2,32}, {6,33}, {1,16}, {6,21}, {2,17}, {4,28}, {3,9}, {4,29}, {3,22}, {5,15}, {5,29}, {4,31}, {3,27}, {6,15}, {1,19}, {4,17}, {4,25}, {2,9}, {1,26}, {2,24}, {6,31}, {4,11}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {1,7}, {6,30}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,24}, {5,17}, {3,12}, {6,16}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {3,25}, {2,26}, {5,12}, {1,28}, {6,24}, {5,18}, {6,27}, {3,33}, {4,23}, {1,8}, {4,13}, {2,30}, {4,19}, {4,10}, {6,28} }; // ETB33.19 (= ET33.23) // Bipartite(6,27) Valencies [18,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 725594112 EdgesBipt[33][19]:={ {6,12}, {3,15}, {6,18}, {3,29}, {6,14}, {4,8}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {3,32}, {1,9}, {2,33}, {6,32}, {3,30}, {1,32}, {5,7}, {5,13}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {6,9}, {2,15}, {5,26}, {4,26}, {5,9}, {6,22}, {2,29}, {3,19}, {4,12}, {2,14}, {5,33}, {3,11}, {2,10}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {2,32}, {6,33}, {1,16}, {6,21}, {4,28}, {3,14}, {1,12}, {4,29}, {3,22}, {5,15}, {6,8}, {3,23}, {5,29}, {4,31}, {4,30}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {4,25}, {2,9}, {1,26}, {2,24}, {6,31}, {4,11}, {5,22}, {2,27}, {1,23}, {5,27}, {1,7}, {6,30}, {5,8}, {5,20}, {4,22}, {3,28}, {3,24}, {5,17}, {5,31}, {3,12}, {3,21}, {1,14}, {1,27}, {5,11}, {3,20}, {2,25}, {1,28}, {6,24}, {2,7}, {5,18}, {6,27}, {3,33}, {1,8}, {1,30}, {5,16}, {4,13}, {1,21}, {1,18}, {5,25}, {4,19}, {4,10} }; // ETB33.20 (= ET33.24) // Bipartite(15,18) Valencies [18,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8372219989337680379904000000 EdgesBipt[33][20]:={ {13,21}, {15,33}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {4,31}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {7,30}, {8,31}, {13,27}, {14,29}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {15,19}, {1,29}, {6,18}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {13,19}, {14,32}, {1,26}, {3,17}, {8,22}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {14,33}, {14,23}, {6,16}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,22}, {6,23}, {15,17}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {15,29}, {2,22}, {2,31}, {14,19}, {1,33}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {7,25}, {7,22}, {6,26}, {14,18}, {5,21}, {6,28}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {15,18}, {10,27}, {5,17}, {15,16}, {7,17}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {14,17}, {10,32}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {5,30} }; // ETB33.21 (= ET33.25) // Bipartite(14,19) Valencies [19,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10604811986494395147878400000 EdgesBipt[33][21]:={ {13,21}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {4,31}, {6,15}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {7,30}, {8,31}, {13,27}, {14,29}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {13,20}, {6,18}, {1,29}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {13,19}, {1,26}, {14,32}, {3,17}, {7,15}, {8,22}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {14,15}, {14,33}, {14,23}, {6,16}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,15}, {6,23}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {5,26}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {3,15}, {7,25}, {7,22}, {6,26}, {14,18}, {5,21}, {9,15}, {6,28}, {13,33}, {13,15}, {14,25}, {14,20}, {1,15}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {5,17}, {7,17}, {13,23}, {6,21}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {14,22}, {14,17}, {10,32}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {5,30} }; // ETB33.22 (= ET33.26) // Bipartite(3,30) Valencies [20,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 286708355039232000000 EdgesBipt[33][22]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {2,26}, {3,12}, {2,32}, {2,30}, {1,29}, {2,29}, {1,32}, {2,24}, {1,10}, {3,21}, {3,27}, {3,33}, {2,6}, {1,4}, {1,20}, {1,31}, {3,9}, {3,24}, {2,12}, {2,33}, {2,21}, {1,7}, {3,4}, {3,16}, {3,7}, {2,20}, {1,16}, {3,28}, {3,15}, {2,18}, {3,25}, {3,19}, {3,30}, {2,15}, {3,18}, {2,5}, {3,31}, {1,5}, {2,27}, {1,17}, {3,6}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,22}, {2,8}, {1,23}, {1,11}, {1,25}, {3,10} }; // ETB33.23 (= ET33.27) // Bipartite(11,22) Valencies [20,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 81749606400 EdgesBipt[33][23]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {1,13}, {8,28}, {4,29}, {1,32}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {11,33}, {1,17}, {5,22}, {4,22}, {1,18}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {11,13}, {11,15}, {1,31}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {9,25}, {7,26}, {1,12}, {6,33}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {5,33}, {10,17}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {5,27}, {8,18}, {4,18}, {11,19}, {10,19}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,24}, {3,31}, {1,14}, {9,24}, {10,20}, {7,33}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB33.24 (= ET33.28) // Bipartite(13,20) Valencies [20,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15149731409277707354112000000 EdgesBipt[33][24]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {13,32}, {2,33}, {6,16}, {6,32}, {4,27}, {12,29}, {13,21}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {4,29}, {1,32}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {6,31}, {11,33}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {11,15}, {1,31}, {11,22}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {6,30}, {4,33}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {3,32}, {11,21}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {13,33}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {13,28}, {5,14}, {9,20}, {4,15}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {12,33}, {6,15}, {13,30}, {2,17}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {12,14}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {13,27}, {7,28}, {3,16}, {11,26}, {13,26}, {7,23}, {11,16}, {13,19}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {13,14}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {1,14}, {9,24}, {10,20}, {5,15}, {7,33}, {12,31}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {13,17}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB33.25 (= ET33.30) // Bipartite(12,21) Valencies [21,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24472643045756296495104000000 EdgesBipt[33][25]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {12,29}, {7,15}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {12,22}, {12,32}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {6,31}, {11,33}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {11,13}, {11,15}, {1,31}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {12,13}, {6,30}, {4,33}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {12,33}, {6,15}, {2,17}, {9,13}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {12,14}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {5,13}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {1,14}, {9,24}, {10,20}, {5,15}, {7,33}, {12,31}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB33.26 (= ET33.31) // Bipartite(11,22) Valencies [22,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 44866512250553210241024000000 EdgesBipt[33][26]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {5,20}, {2,26}, {1,21}, {11,14}, {8,25}, {11,12}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {11,33}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {11,13}, {11,15}, {1,31}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {9,25}, {7,16}, {7,26}, {1,12}, {6,33}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,24}, {3,31}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {7,33}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB33.27 (= ET33.33) // Bipartite(10,23) Valencies [23,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 93811798342065803231232000000 EdgesBipt[33][27]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {5,20}, {2,26}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,32}, {9,26}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {10,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {7,33}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {10,16}, {5,16} }; // ETB33.28 (= ET33.34) // Bipartite(9,24) Valencies [24,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 225148316020957927754956800000 EdgesBipt[33][28]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {7,20}, {3,14}, {9,32}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {2,31}, {9,33}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {7,33}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB33.29 (= ET33.35) // Bipartite(8,25) Valencies [25,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 625411988947105354874880000000 EdgesBipt[33][29]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {3,14}, {7,20}, {5,11}, {2,10}, {5,29}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {7,33}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB33.30 (= ET33.36) // Bipartite(7,26) Valencies [26,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2032588964078092403343360000000 EdgesBipt[33][30]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {6,29}, {3,17}, {6,21}, {2,25}, {7,12}, {6,31}, {4,10}, {1,17}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,32}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {7,33}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {7,19}, {4,17}, {7,21}, {4,32}, {7,18}, {5,16} }; // ETB33.31 (= ET33.37) // Bipartite(6,27) Valencies [27,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7839986004301213555752960000000 EdgesBipt[33][31]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {6,21}, {2,25}, {6,31}, {4,10}, {1,17}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {1,31}, {3,12}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {3,16}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {6,25}, {2,31}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {4,17}, {4,32}, {5,16} }; // ETB33.32 (= ET33.38) // Bipartite(5,28) Valencies [28,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36586601353405663260180480000000 EdgesBipt[33][32]:={ {1,15}, {5,32}, {5,14}, {3,15}, {1,11}, {4,14}, {3,29}, {2,22}, {5,30}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {5,24}, {3,32}, {1,9}, {2,33}, {3,30}, {1,32}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {5,6}, {3,18}, {2,14}, {3,11}, {5,23}, {5,33}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {5,19}, {5,15}, {3,23}, {5,29}, {4,31}, {3,27}, {4,30}, {1,19}, {4,21}, {4,17}, {5,28}, {2,9}, {4,15}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {5,31}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {2,7}, {5,18}, {3,33}, {1,8}, {4,23}, {1,30}, {5,16}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB33.33 (= ET33.39) // Bipartite(4,29) Valencies [29,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 212202287849752846909046784000000 EdgesBipt[33][33]:={ {1,15}, {3,15}, {1,11}, {4,14}, {3,29}, {2,22}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {3,32}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {2,14}, {3,11}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {3,27}, {4,30}, {1,19}, {4,21}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,26}, {2,24}, {4,11}, {2,27}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,17}, {4,9}, {2,7}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB33.34 (= ET33.40) // Bipartite(3,30) Valencies [30,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1591517158873146351817850880000000 EdgesBipt[33][34]:={ {1,15}, {3,15}, {1,11}, {2,22}, {3,29}, {1,31}, {3,7}, {2,11}, {2,20}, {1,25}, {3,32}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {3,27}, {1,19}, {2,9}, {3,5}, {1,4}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {1,23}, {2,21}, {1,7}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,17}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB33.35 (= ET33.42) // Bipartite(2,31) Valencies [31,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16445677308355845635451125760000000 EdgesBipt[33][35]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,33}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB33.36 (= ET33.43) // Bipartite(1,32) Valencies [32,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 263130836933693530167218012160000000 EdgesBipt[33][36]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,31}, {1,12}, {1,2}, {1,33}, {1,3}, {1,17}, {1,30}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,28}, {1,6}, {1,14}, {1,26}, {1,18}, {1,27}, {1,21}, {1,19}, {1,29}, {1,20}, {1,8}, {1,24}, {1,32}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 33 is 36 // ******************************************************************************************** // Order 34 // ETB34.1 (= ET34.1) // Bipartite(17,17) Valencies [2,2] // Diameter 17 Girth 34 // Twin-free VT AT // Automorphism group of order 68 EdgesBipt[34][1]:={ {1,20}, {7,26}, {6,28}, {7,30}, {4,24}, {8,28}, {5,21}, {14,25}, {2,19}, {3,18}, {3,21}, {11,31}, {12,29}, {16,20}, {13,31}, {10,33}, {12,33}, {4,19}, {8,32}, {11,34}, {13,27}, {15,22}, {17,23}, {6,24}, {5,26}, {9,34}, {2,23}, {1,18}, {9,30}, {14,29}, {17,22}, {16,25}, {15,27}, {10,32} }; // ETB34.2 (= ET34.2) // Bipartite(17,17) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 136 EdgesBipt[34][2]:={ {5,33}, {12,27}, {4,24}, {10,27}, {1,24}, {2,26}, {8,31}, {17,28}, {2,30}, {9,25}, {4,34}, {7,34}, {15,20}, {16,23}, {8,21}, {3,21}, {6,31}, {15,27}, {1,20}, {11,23}, {10,33}, {8,32}, {16,32}, {5,21}, {13,32}, {7,27}, {9,29}, {3,28}, {8,33}, {10,26}, {13,33}, {14,22}, {11,32}, {11,22}, {12,34}, {3,18}, {17,21}, {3,31}, {13,20}, {5,30}, {1,18}, {12,29}, {9,34}, {15,28}, {16,19}, {7,19}, {6,18}, {9,22}, {4,25}, {6,22}, {2,19}, {14,23}, {13,24}, {6,25}, {17,30}, {5,26}, {2,23}, {14,29}, {12,28}, {4,19}, {16,24}, {10,20}, {17,29}, {11,31}, {1,25}, {15,18}, {14,30}, {7,26} }; // ETB34.3 (= ET34.4) // Bipartite(17,17) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 272 EdgesBipt[34][3]:={ {7,19}, {16,25}, {13,25}, {16,34}, {14,25}, {15,23}, {10,22}, {6,18}, {9,30}, {12,19}, {14,34}, {2,22}, {17,27}, {5,30}, {11,33}, {16,30}, {7,24}, {11,29}, {6,23}, {2,20}, {13,24}, {5,34}, {7,33}, {12,31}, {12,22}, {7,31}, {16,23}, {7,27}, {13,27}, {3,30}, {1,32}, {15,29}, {3,34}, {9,31}, {14,20}, {2,19}, {17,18}, {5,26}, {4,26}, {10,18}, {15,32}, {5,21}, {10,23}, {15,28}, {14,27}, {3,18}, {7,28}, {12,21}, {17,31}, {5,33}, {5,23}, {10,34}, {15,22}, {13,33}, {8,33}, {7,26}, {8,28}, {10,25}, {2,32}, {6,21}, {8,21}, {9,34}, {10,31}, {4,29}, {16,19}, {3,22}, {14,28}, {5,19}, {8,26}, {5,29}, {4,31}, {2,34}, {10,33}, {14,26}, {1,19}, {11,18}, {12,28}, {17,33}, {12,29}, {4,25}, {13,22}, {15,26}, {12,23}, {6,31}, {2,27}, {1,23}, {2,21}, {16,27}, {6,30}, {15,18}, {11,19}, {13,32}, {8,32}, {3,28}, {3,24}, {9,24}, {11,25}, {8,20}, {6,20}, {3,21}, {11,30}, {17,21}, {11,27}, {4,32}, {13,21}, {17,34}, {1,20}, {7,22}, {4,18}, {8,25}, {3,25}, {9,29}, {17,29}, {13,23}, {2,26}, {11,20}, {1,33}, {14,29}, {1,28}, {9,32}, {6,24}, {8,30}, {17,28}, {10,26}, {6,27}, {15,30}, {16,32}, {16,31}, {12,20}, {1,18}, {4,19}, {14,24}, {4,24}, {9,20}, {1,24}, {9,22} }; // ETB34.4 (= ET34.6) // Bipartite(16,18) Valencies [9,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[34][4]:={ {16,25}, {16,34}, {5,32}, {10,21}, {13,29}, {14,25}, {15,23}, {8,31}, {8,24}, {12,26}, {6,18}, {9,30}, {12,19}, {3,29}, {11,33}, {1,31}, {4,27}, {16,30}, {2,20}, {13,24}, {14,19}, {1,25}, {12,17}, {12,31}, {12,22}, {16,18}, {3,32}, {13,34}, {6,32}, {7,31}, {6,25}, {7,27}, {12,18}, {16,20}, {6,34}, {2,18}, {5,26}, {4,26}, {6,22}, {15,32}, {13,20}, {5,21}, {15,28}, {10,30}, {3,19}, {14,27}, {1,34}, {11,34}, {14,33}, {16,21}, {5,33}, {5,23}, {10,34}, {15,22}, {9,27}, {2,31}, {2,23}, {8,33}, {7,26}, {8,28}, {1,17}, {13,26}, {1,22}, {16,17}, {8,21}, {4,33}, {7,29}, {4,29}, {9,23}, {5,19}, {7,20}, {3,23}, {10,33}, {11,18}, {12,28}, {7,30}, {15,33}, {9,25}, {10,29}, {15,26}, {12,23}, {2,24}, {2,27}, {6,19}, {14,17}, {2,21}, {16,27}, {14,22}, {5,27}, {10,28}, {15,18}, {11,19}, {14,31}, {14,23}, {4,22}, {3,28}, {11,31}, {5,17}, {9,24}, {11,25}, {13,28}, {8,23}, {6,20}, {11,21}, {3,21}, {10,17}, {11,27}, {4,32}, {13,21}, {7,22}, {8,25}, {3,25}, {9,29}, {2,26}, {10,32}, {3,20}, {1,33}, {14,29}, {1,28}, {3,17}, {9,32}, {6,24}, {5,18}, {8,30}, {10,26}, {13,31}, {4,34}, {7,34}, {13,19}, {15,30}, {16,32}, {7,17}, {11,24}, {1,30}, {2,30}, {1,18}, {12,20}, {15,24}, {4,19}, {4,24}, {9,20}, {8,29}, {9,22}, {6,28} }; // ETB34.5 (= ET34.7) // Bipartite(16,18) Valencies [9,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 371504185344 EdgesBipt[34][5]:={ {7,19}, {13,25}, {16,34}, {13,29}, {12,26}, {6,18}, {11,33}, {1,31}, {6,17}, {4,27}, {7,24}, {6,23}, {2,20}, {5,34}, {1,25}, {14,18}, {7,33}, {12,22}, {13,34}, {6,32}, {7,31}, {12,33}, {7,27}, {9,19}, {3,30}, {16,20}, {12,27}, {8,34}, {9,31}, {14,20}, {3,31}, {16,33}, {2,18}, {4,26}, {9,17}, {10,18}, {10,23}, {2,29}, {3,19}, {10,30}, {1,29}, {3,18}, {8,22}, {12,21}, {1,34}, {16,21}, {5,23}, {4,20}, {2,23}, {8,33}, {8,28}, {1,17}, {15,25}, {1,22}, {14,30}, {2,32}, {12,34}, {8,21}, {2,17}, {4,33}, {9,34}, {4,28}, {16,26}, {7,25}, {9,23}, {10,24}, {5,19}, {8,26}, {5,29}, {3,27}, {6,26}, {14,26}, {1,19}, {11,18}, {12,28}, {15,19}, {7,30}, {4,21}, {15,33}, {5,28}, {9,25}, {10,29}, {13,22}, {6,29}, {14,32}, {2,24}, {5,22}, {14,17}, {15,21}, {15,31}, {1,23}, {16,27}, {6,30}, {8,27}, {15,18}, {11,19}, {7,18}, {14,23}, {8,32}, {9,28}, {4,22}, {11,31}, {3,24}, {5,17}, {5,31}, {11,25}, {13,28}, {8,20}, {16,22}, {6,20}, {11,21}, {3,21}, {11,30}, {10,17}, {11,27}, {4,32}, {15,27}, {16,28}, {9,29}, {3,25}, {13,23}, {2,26}, {10,32}, {13,17}, {7,21}, {14,29}, {12,32}, {1,28}, {10,20}, {6,24}, {10,26}, {13,31}, {4,34}, {3,33}, {13,19}, {15,30}, {16,32}, {11,24}, {2,30}, {12,20}, {15,24}, {5,25}, {14,24}, {9,22} }; // ETB34.6 (= ET34.8) // Bipartite(16,18) Valencies [9,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 573308928 EdgesBipt[34][6]:={ {13,25}, {16,34}, {5,32}, {10,21}, {14,25}, {11,17}, {8,24}, {10,22}, {6,18}, {11,23}, {3,29}, {2,22}, {1,31}, {16,30}, {10,27}, {11,29}, {14,19}, {1,25}, {14,18}, {12,17}, {7,33}, {12,22}, {16,18}, {2,33}, {6,32}, {6,25}, {7,27}, {9,19}, {13,27}, {9,21}, {12,18}, {3,30}, {16,20}, {8,34}, {2,28}, {9,31}, {14,20}, {3,31}, {5,26}, {9,17}, {15,32}, {13,20}, {5,21}, {10,23}, {15,28}, {2,29}, {3,19}, {1,29}, {3,18}, {8,22}, {7,28}, {12,30}, {5,33}, {15,34}, {10,34}, {15,22}, {9,27}, {2,23}, {13,33}, {7,26}, {8,28}, {1,17}, {13,26}, {14,30}, {12,34}, {2,17}, {8,18}, {4,28}, {4,29}, {16,26}, {9,23}, {5,19}, {7,20}, {8,26}, {15,20}, {3,23}, {4,30}, {2,34}, {6,26}, {10,33}, {14,26}, {1,19}, {11,18}, {12,28}, {4,17}, {15,33}, {12,29}, {9,25}, {10,29}, {12,24}, {15,26}, {12,23}, {14,32}, {6,31}, {9,33}, {2,27}, {6,19}, {15,21}, {1,23}, {2,21}, {5,27}, {6,30}, {10,28}, {11,19}, {14,31}, {13,32}, {8,32}, {4,22}, {5,20}, {11,31}, {3,24}, {5,31}, {11,25}, {8,20}, {16,22}, {6,20}, {11,30}, {10,17}, {13,21}, {1,27}, {7,22}, {15,27}, {4,18}, {16,28}, {9,29}, {3,25}, {7,32}, {7,21}, {1,33}, {3,17}, {6,24}, {8,30}, {13,31}, {4,34}, {7,34}, {13,19}, {16,32}, {4,23}, {11,24}, {1,21}, {5,25}, {14,24}, {4,24}, {16,24} }; // ETB34.7 (= ET34.9) // Bipartite(12,22) Valencies [11,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 7920 EdgesBipt[34][7]:={ {10,19}, {7,19}, {5,14}, {11,17}, {8,31}, {4,14}, {12,19}, {3,29}, {5,30}, {6,23}, {2,20}, {4,16}, {12,15}, {12,17}, {12,31}, {5,24}, {3,32}, {2,33}, {12,33}, {7,27}, {9,21}, {12,18}, {1,32}, {11,22}, {12,27}, {7,23}, {7,15}, {2,28}, {3,34}, {12,25}, {3,31}, {6,34}, {2,19}, {2,18}, {2,15}, {8,14}, {8,13}, {9,17}, {6,22}, {5,21}, {10,23}, {3,19}, {10,30}, {3,18}, {8,22}, {8,15}, {1,34}, {12,30}, {5,23}, {4,20}, {10,34}, {7,26}, {8,28}, {10,25}, {2,16}, {1,22}, {6,33}, {10,13}, {2,17}, {3,14}, {2,13}, {10,31}, {4,29}, {10,16}, {7,25}, {5,19}, {9,23}, {10,24}, {7,13}, {8,17}, {5,29}, {7,14}, {4,30}, {6,26}, {6,15}, {10,33}, {11,18}, {4,21}, {5,28}, {12,29}, {9,25}, {4,15}, {4,25}, {11,26}, {6,29}, {11,14}, {6,31}, {9,33}, {11,13}, {2,21}, {5,27}, {5,20}, {4,22}, {8,32}, {3,28}, {11,31}, {3,26}, {8,16}, {5,17}, {3,24}, {9,24}, {11,25}, {8,23}, {6,20}, {9,26}, {11,27}, {1,27}, {3,16}, {1,13}, {4,18}, {7,32}, {9,29}, {2,26}, {7,21}, {11,20}, {1,33}, {12,32}, {1,28}, {10,20}, {9,32}, {8,30}, {4,34}, {6,27}, {9,16}, {7,34}, {11,24}, {1,30}, {1,21}, {1,18}, {1,24}, {6,28}, {9,22} }; // ETB34.8 (= ET34.10) // Bipartite(10,24) Valencies [12,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11466178560 EdgesBipt[34][8]:={ {7,19}, {5,32}, {5,14}, {10,21}, {8,31}, {8,24}, {10,22}, {1,11}, {3,29}, {2,22}, {6,14}, {5,30}, {1,31}, {4,27}, {10,27}, {7,24}, {2,20}, {1,25}, {6,13}, {7,33}, {5,24}, {6,32}, {7,31}, {6,25}, {7,27}, {9,21}, {1,32}, {7,15}, {8,34}, {2,28}, {3,34}, {3,31}, {2,18}, {5,26}, {8,13}, {10,23}, {3,19}, {1,29}, {4,12}, {8,22}, {2,14}, {5,23}, {3,11}, {10,34}, {9,27}, {8,28}, {1,17}, {3,13}, {2,16}, {2,32}, {6,33}, {6,21}, {4,33}, {8,18}, {9,34}, {10,15}, {4,29}, {10,16}, {7,25}, {3,22}, {7,13}, {3,23}, {5,29}, {4,30}, {2,34}, {6,26}, {6,15}, {10,33}, {1,19}, {7,30}, {4,21}, {4,17}, {4,15}, {9,15}, {10,29}, {1,26}, {8,19}, {2,24}, {6,31}, {9,33}, {4,11}, {6,19}, {1,23}, {10,28}, {7,18}, {2,12}, {5,20}, {9,28}, {3,28}, {8,16}, {5,17}, {6,20}, {9,26}, {1,14}, {10,17}, {1,20}, {5,11}, {3,16}, {1,13}, {4,18}, {8,25}, {3,25}, {2,26}, {7,21}, {5,12}, {9,14}, {3,17}, {9,32}, {5,18}, {8,30}, {6,27}, {9,16}, {4,23}, {7,12}, {2,30}, {10,11}, {4,24}, {8,12}, {9,20}, {9,22} }; // ETB34.9 (= ET34.11) // Bipartite(10,24) Valencies [12,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 491520 EdgesBipt[34][9]:={ {9,13}, {6,12}, {5,14}, {8,31}, {10,22}, {1,11}, {9,30}, {5,30}, {1,31}, {10,27}, {2,20}, {5,34}, {4,16}, {7,33}, {5,24}, {2,33}, {6,32}, {7,27}, {9,21}, {3,30}, {7,15}, {8,34}, {3,34}, {3,31}, {2,19}, {2,15}, {5,26}, {8,14}, {8,13}, {9,17}, {3,19}, {3,18}, {8,22}, {2,14}, {3,11}, {4,20}, {10,34}, {2,31}, {7,26}, {10,12}, {2,32}, {6,33}, {1,16}, {6,21}, {4,28}, {7,29}, {3,14}, {2,13}, {10,15}, {1,12}, {4,29}, {10,16}, {7,25}, {3,22}, {9,23}, {10,24}, {5,15}, {8,26}, {7,13}, {3,23}, {5,29}, {7,14}, {6,15}, {1,19}, {8,11}, {7,30}, {4,17}, {9,25}, {4,25}, {10,29}, {8,19}, {6,31}, {9,33}, {4,11}, {5,22}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {10,28}, {7,18}, {4,22}, {8,32}, {9,28}, {3,26}, {3,24}, {5,17}, {3,12}, {8,20}, {8,23}, {6,16}, {6,20}, {9,18}, {10,17}, {4,32}, {9,11}, {8,25}, {9,29}, {2,26}, {10,32}, {7,21}, {1,33}, {5,12}, {2,25}, {1,28}, {10,20}, {6,24}, {5,18}, {4,34}, {6,27}, {9,16}, {7,17}, {4,23}, {1,30}, {4,13}, {1,21}, {1,18}, {1,24}, {6,28} }; // ETB34.10 (= ET34.12) // Bipartite(6,28) Valencies [14,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15485790781440000 EdgesBipt[34][10]:={ {4,8}, {5,33}, {4,24}, {6,34}, {1,24}, {2,32}, {2,29}, {5,29}, {1,32}, {4,34}, {2,24}, {6,14}, {6,26}, {4,10}, {5,10}, {3,21}, {6,31}, {3,27}, {3,33}, {6,10}, {6,30}, {1,20}, {1,12}, {3,23}, {4,16}, {1,31}, {3,9}, {2,12}, {6,7}, {3,29}, {2,33}, {6,15}, {2,21}, {4,30}, {5,9}, {4,32}, {5,21}, {4,12}, {4,18}, {2,16}, {1,7}, {5,25}, {1,15}, {3,11}, {1,16}, {3,7}, {2,20}, {3,15}, {3,17}, {3,25}, {4,20}, {3,19}, {5,17}, {6,27}, {3,31}, {5,30}, {1,27}, {4,28}, {4,22}, {6,18}, {6,19}, {2,28}, {6,22}, {1,28}, {5,14}, {2,17}, {5,18}, {3,13}, {5,26}, {1,8}, {5,34}, {1,19}, {2,9}, {5,13}, {6,11}, {4,26}, {2,13}, {2,25}, {2,8}, {4,14}, {1,23}, {1,11}, {5,22}, {6,23} }; // ETB34.11 (= ET34.13) // Bipartite(4,30) Valencies [15,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 71663616000000 EdgesBipt[34][11]:={ {2,11}, {4,8}, {2,14}, {4,9}, {2,26}, {3,12}, {2,32}, {2,30}, {1,29}, {2,29}, {4,34}, {2,24}, {1,10}, {4,10}, {3,21}, {3,27}, {3,33}, {2,6}, {1,31}, {4,16}, {3,24}, {3,9}, {2,12}, {4,32}, {4,33}, {1,7}, {1,16}, {3,7}, {2,20}, {3,15}, {2,18}, {3,25}, {4,27}, {4,21}, {4,20}, {3,19}, {3,30}, {3,18}, {2,5}, {3,31}, {1,5}, {4,15}, {4,28}, {1,17}, {4,22}, {3,6}, {1,28}, {2,17}, {3,13}, {2,23}, {1,13}, {1,19}, {4,26}, {1,22}, {4,14}, {2,8}, {1,34}, {1,23}, {1,11}, {1,25} }; // ETB34.12 (= ET34.14) // Bipartite(17,17) Valencies [16,16] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 711374856192000 EdgesBipt[34][12]:={ {13,21}, {9,32}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {16,22}, {17,33}, {4,31}, {10,33}, {8,21}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {1,21}, {3,21}, {16,28}, {5,32}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {11,29}, {6,29}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {15,19}, {1,29}, {6,18}, {16,34}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {14,34}, {4,21}, {17,29}, {7,19}, {4,32}, {16,18}, {1,30}, {13,18}, {14,28}, {11,21}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {14,21}, {9,26}, {3,29}, {17,31}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {16,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {16,26}, {12,25}, {3,22}, {16,31}, {6,23}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {3,34}, {2,21}, {4,27}, {5,24}, {15,29}, {2,22}, {16,20}, {2,31}, {14,19}, {1,33}, {16,27}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {14,18}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {1,23}, {10,24}, {11,20}, {15,18}, {10,34}, {10,27}, {16,33}, {13,23}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {8,20}, {1,27}, {5,25}, {17,23}, {15,26}, {4,19}, {14,22}, {16,19}, {9,34}, {10,32}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {5,30} }; // ETB34.13 (= ET34.16) // Bipartite(17,17) Valencies [17,17] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 253027093011094340370432000000 EdgesBipt[34][13]:={ {13,21}, {15,33}, {9,32}, {6,25}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {16,22}, {17,33}, {4,31}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,28}, {5,32}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {15,19}, {1,29}, {6,18}, {16,34}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {14,34}, {4,21}, {17,29}, {7,19}, {4,32}, {16,18}, {1,30}, {13,18}, {14,28}, {11,21}, {16,29}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {17,31}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {6,23}, {16,31}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {15,29}, {2,22}, {16,20}, {2,31}, {14,19}, {1,33}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {14,18}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {1,23}, {10,24}, {11,20}, {15,18}, {10,34}, {10,27}, {16,33}, {13,23}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {16,19}, {9,34}, {10,32}, {17,32}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {5,30} }; // ETB34.14 (= ET34.17) // Bipartite(16,18) Valencies [18,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 133955519829402886078464000000 EdgesBipt[34][14]:={ {13,21}, {15,33}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {16,22}, {4,31}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,28}, {5,32}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {15,19}, {1,29}, {6,18}, {16,34}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {3,17}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {14,34}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {8,17}, {16,29}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {6,23}, {16,31}, {15,17}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {1,33}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {14,18}, {5,21}, {12,34}, {6,28}, {16,23}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {1,23}, {10,24}, {11,20}, {15,18}, {10,34}, {10,27}, {5,17}, {16,33}, {7,17}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {14,17}, {16,19}, {9,34}, {10,32}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {5,30} }; // ETB34.15 (= ET34.18) // Bipartite(15,19) Valencies [19,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 159072179797415927218176000000 EdgesBipt[34][15]:={ {13,21}, {15,33}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {4,31}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {7,30}, {8,31}, {13,27}, {14,29}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {6,18}, {1,29}, {15,19}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {3,17}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {14,34}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {14,33}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,22}, {6,23}, {15,17}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {14,18}, {5,21}, {12,34}, {6,28}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {15,16}, {7,17}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {14,17}, {9,34}, {10,32}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30} }; // ETB34.16 (= ET34.19) // Bipartite(14,20) Valencies [20,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 212096239729887902957568000000 EdgesBipt[34][16]:={ {13,21}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {4,31}, {6,15}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {7,30}, {8,31}, {13,27}, {14,29}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {13,20}, {6,18}, {1,29}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {1,26}, {14,32}, {3,17}, {7,15}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {14,34}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {14,15}, {14,33}, {14,23}, {6,16}, {11,33}, {13,25}, {8,24}, {9,26}, {14,21}, {3,29}, {12,17}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,15}, {6,23}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {5,26}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {3,15}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {14,18}, {5,21}, {9,15}, {12,34}, {6,28}, {13,33}, {13,15}, {1,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {13,23}, {6,21}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {14,22}, {14,17}, {9,34}, {10,32}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {5,30} }; // ETB34.17 (= ET34.20) // Bipartite(13,21) Valencies [21,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 318144359594831854436352000000 EdgesBipt[34][17]:={ {13,21}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {4,31}, {6,15}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {5,32}, {7,30}, {8,31}, {13,27}, {6,14}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {13,20}, {6,18}, {1,29}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {1,26}, {3,17}, {7,15}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {6,16}, {11,33}, {13,25}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {13,14}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {13,34}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {13,33}, {13,15}, {1,15}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {13,23}, {6,21}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {9,14}, {9,34}, {10,14}, {10,32}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {2,14}, {11,26}, {5,33}, {5,30} }; // ETB34.18 (= ET34.21) // Bipartite(12,22) Valencies [22,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 538398147006638522892288000000 EdgesBipt[34][18]:={ {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {4,31}, {6,15}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {5,32}, {7,30}, {8,31}, {6,14}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {12,20}, {1,13}, {12,26}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {2,15}, {12,23}, {12,13}, {6,18}, {1,29}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {7,15}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {6,27}, {2,30}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {6,16}, {11,33}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {11,13}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {1,15}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {7,13}, {9,14}, {9,34}, {10,14}, {10,32}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {2,14}, {11,26}, {5,33}, {5,30} }; // ETB34.19 (= ET34.22) // Bipartite(11,23) Valencies [23,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1031929781762723835543552000000 EdgesBipt[34][19]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {5,20}, {2,26}, {7,34}, {1,21}, {11,14}, {8,25}, {11,12}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,31}, {11,33}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {11,13}, {11,15}, {1,31}, {3,12}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {11,31}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {9,34}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {11,24}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {7,23}, {11,16}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {6,34}, {5,27}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {7,33}, {10,14}, {11,34}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB34.20 (= ET34.23) // Bipartite(10,24) Valencies [24,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2251483160209579277549568000000 EdgesBipt[34][20]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {5,20}, {2,26}, {7,34}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,31}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {9,34}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {10,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {10,34}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {6,34}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {7,33}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {10,16}, {5,16} }; // ETB34.21 (= ET34.24) // Bipartite(9,25) Valencies [25,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5628707900523948193873920000000 EdgesBipt[34][21]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {7,34}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,31}, {4,10}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,11}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {9,34}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {2,31}, {9,33}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {7,33}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB34.22 (= ET34.25) // Bipartite(8,26) Valencies [26,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16260711712624739226746880000000 EdgesBipt[34][22]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {7,34}, {1,21}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,11}, {2,10}, {5,29}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {7,33}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {7,19}, {4,17}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB34.23 (= ET34.26) // Bipartite(7,27) Valencies [27,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 54879902030108494890270720000000 EdgesBipt[34][23]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {5,20}, {2,26}, {7,34}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,32}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {7,33}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {7,19}, {4,17}, {7,21}, {4,32}, {7,18}, {5,16} }; // ETB34.24 (= ET34.27) // Bipartite(6,28) Valencies [28,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 219519608120433979561082880000000 EdgesBipt[34][24]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {6,21}, {3,34}, {2,25}, {6,31}, {4,10}, {2,34}, {1,17}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {1,31}, {3,12}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {3,16}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {4,17}, {4,32}, {5,16} }; // ETB34.25 (= ET34.28) // Bipartite(5,29) Valencies [29,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1061011439248764234545233920000000 EdgesBipt[34][25]:={ {1,15}, {5,32}, {5,14}, {3,15}, {1,11}, {4,14}, {3,29}, {2,22}, {5,30}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {5,34}, {1,25}, {4,16}, {5,24}, {3,32}, {1,9}, {2,33}, {3,30}, {1,32}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {5,6}, {3,18}, {1,34}, {2,14}, {3,11}, {5,23}, {5,33}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {5,19}, {5,15}, {3,23}, {5,29}, {4,31}, {3,27}, {2,34}, {4,30}, {1,19}, {4,21}, {4,17}, {5,28}, {2,9}, {4,15}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {5,31}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {2,7}, {5,18}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {5,16}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB34.26 (= ET34.29) // Bipartite(4,30) Valencies [30,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6366068635492585407271403520000000 EdgesBipt[34][26]:={ {1,15}, {3,15}, {1,11}, {4,14}, {2,22}, {3,29}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {3,32}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {3,27}, {2,34}, {4,30}, {1,19}, {4,21}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,26}, {2,24}, {4,11}, {2,27}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,17}, {4,9}, {2,7}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB34.27 (= ET34.30) // Bipartite(3,31) Valencies [31,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49337031925067536906353377280000000 EdgesBipt[34][27]:={ {1,15}, {3,15}, {1,11}, {2,22}, {3,29}, {1,31}, {3,7}, {2,11}, {2,20}, {1,25}, {3,32}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {3,27}, {2,34}, {1,19}, {2,9}, {3,5}, {1,4}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {1,23}, {2,21}, {1,7}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,17}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB34.28 (= ET34.31) // Bipartite(2,32) Valencies [32,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 526261673867387060334436024320000000 EdgesBipt[34][28]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,33}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {1,19}, {2,9}, {2,34}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB34.29 (= ET34.33) // Bipartite(1,33) Valencies [33,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 8683317618811886495518194401280000000 EdgesBipt[34][29]:={ {1,5}, {1,4}, {1,7}, {1,16}, {1,31}, {1,12}, {1,2}, {1,33}, {1,3}, {1,17}, {1,30}, {1,13}, {1,22}, {1,10}, {1,15}, {1,11}, {1,28}, {1,6}, {1,14}, {1,26}, {1,34}, {1,18}, {1,27}, {1,21}, {1,19}, {1,29}, {1,20}, {1,8}, {1,24}, {1,32}, {1,9}, {1,23}, {1,25} }; // Total number of connected ET bipartite graphs of order 34 is 29 // ******************************************************************************************** // Order 35 // ETB35.1 (= ET35.2) // Bipartite(14,21) Valencies [3,2] // Diameter 6 Girth 12 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[35][1]:={ {5,28}, {13,19}, {4,20}, {8,33}, {3,24}, {3,16}, {11,22}, {7,30}, {6,15}, {7,23}, {11,25}, {8,28}, {5,18}, {5,27}, {2,19}, {9,32}, {12,23}, {1,29}, {1,15}, {12,31}, {2,25}, {8,16}, {3,35}, {13,31}, {10,30}, {4,27}, {10,22}, {11,21}, {6,24}, {13,20}, {2,35}, {14,29}, {14,21}, {14,32}, {4,26}, {9,33}, {1,26}, {9,17}, {10,18}, {6,34}, {12,17}, {7,34} }; // ETB35.2 (= ET35.3) // Bipartite(15,20) Valencies [4,3] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[35][2]:={ {11,30}, {15,35}, {8,19}, {13,28}, {7,16}, {1,24}, {2,26}, {5,24}, {6,33}, {1,29}, {2,29}, {7,23}, {9,16}, {11,24}, {3,27}, {12,30}, {7,33}, {12,31}, {3,20}, {9,32}, {5,23}, {13,32}, {15,21}, {4,18}, {5,25}, {15,31}, {1,16}, {10,26}, {6,20}, {1,21}, {11,32}, {3,19}, {3,31}, {12,29}, {9,35}, {8,34}, {8,22}, {13,22}, {4,28}, {13,23}, {2,27}, {14,33}, {4,25}, {14,21}, {10,17}, {14,27}, {6,35}, {5,34}, {2,34}, {10,22}, {6,28}, {8,30}, {4,19}, {11,18}, {10,20}, {12,17}, {14,25}, {15,18}, {9,17}, {7,26} }; // ETB35.3 (= ET35.4) // Bipartite(15,20) Valencies [4,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122880 EdgesBipt[35][3]:={ {3,32}, {3,22}, {1,26}, {15,35}, {5,33}, {12,27}, {6,34}, {8,31}, {14,18}, {11,17}, {5,29}, {9,16}, {12,33}, {6,26}, {8,21}, {8,25}, {11,27}, {15,29}, {1,31}, {3,24}, {2,33}, {11,21}, {4,30}, {6,16}, {5,23}, {13,32}, {7,27}, {7,32}, {1,16}, {15,19}, {10,34}, {5,19}, {2,18}, {1,21}, {4,20}, {12,23}, {13,20}, {15,25}, {7,22}, {10,29}, {8,35}, {10,24}, {13,22}, {4,25}, {2,28}, {10,19}, {3,34}, {9,18}, {2,23}, {14,20}, {7,17}, {9,26}, {4,35}, {9,28}, {13,30}, {14,28}, {12,17}, {11,31}, {6,24}, {14,30} }; // ETB35.4 (= ET35.7) // Bipartite(10,25) Valencies [5,2] // Diameter 4 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 28800 EdgesBipt[35][4]:={ {5,32}, {10,27}, {8,20}, {5,24}, {4,34}, {7,34}, {7,23}, {7,31}, {8,23}, {6,14}, {3,21}, {10,30}, {1,12}, {3,29}, {2,33}, {5,16}, {6,16}, {4,32}, {5,20}, {10,13}, {7,27}, {4,18}, {1,15}, {2,31}, {3,17}, {5,28}, {3,25}, {9,33}, {2,15}, {3,14}, {8,12}, {1,18}, {9,35}, {10,24}, {7,19}, {9,22}, {6,19}, {2,28}, {6,22}, {8,26}, {1,13}, {9,30}, {6,11}, {9,26}, {10,21}, {2,25}, {4,35}, {1,11}, {8,17}, {4,29} }; // ETB35.5 (= ET35.8) // Bipartite(14,21) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[35][5]:={ {3,22}, {12,20}, {12,27}, {4,24}, {11,16}, {13,19}, {4,23}, {5,32}, {6,34}, {11,15}, {2,26}, {12,18}, {6,33}, {2,29}, {5,29}, {9,20}, {7,34}, {13,34}, {9,31}, {9,16}, {12,33}, {1,33}, {5,27}, {8,16}, {11,28}, {8,15}, {14,34}, {4,31}, {3,23}, {1,31}, {3,24}, {7,33}, {12,31}, {3,29}, {6,15}, {11,21}, {4,30}, {2,21}, {8,32}, {13,32}, {7,27}, {10,16}, {9,24}, {10,26}, {11,35}, {1,21}, {3,25}, {5,17}, {14,32}, {6,21}, {7,25}, {3,26}, {8,35}, {10,24}, {7,20}, {13,23}, {1,17}, {4,22}, {13,15}, {6,19}, {9,18}, {14,23}, {14,27}, {2,17}, {7,28}, {5,18}, {5,35}, {8,18}, {2,35}, {1,19}, {9,30}, {10,28}, {11,26}, {14,29}, {1,22}, {6,28}, {10,25}, {13,30}, {8,30}, {4,19}, {10,20}, {12,17}, {14,25}, {2,22} }; // ETB35.6 (= ET35.9) // Bipartite(14,21) Valencies [6,4] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 501645312 EdgesBipt[35][6]:={ {3,22}, {10,15}, {5,32}, {9,23}, {6,34}, {14,19}, {14,31}, {8,20}, {12,18}, {1,29}, {2,30}, {13,34}, {14,26}, {9,21}, {9,16}, {7,31}, {11,28}, {12,16}, {8,15}, {13,25}, {12,30}, {12,32}, {1,20}, {3,24}, {7,33}, {8,29}, {3,29}, {6,32}, {11,33}, {11,21}, {13,18}, {2,21}, {8,27}, {5,16}, {5,23}, {13,32}, {4,33}, {2,16}, {5,25}, {1,15}, {10,31}, {3,15}, {6,20}, {3,17}, {11,35}, {4,21}, {12,23}, {6,27}, {3,31}, {13,20}, {5,30}, {10,29}, {9,35}, {8,34}, {8,22}, {10,24}, {1,27}, {4,28}, {7,19}, {6,18}, {12,25}, {14,33}, {2,28}, {10,17}, {5,18}, {6,25}, {2,23}, {2,35}, {14,24}, {7,17}, {9,30}, {10,22}, {11,26}, {13,27}, {4,26}, {1,22}, {4,35}, {1,34}, {9,28}, {4,19}, {11,19}, {14,17}, {7,24}, {7,26} }; // ETB35.7 (= ET35.10) // Bipartite(14,21) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 645120 EdgesBipt[35][7]:={ {3,32}, {5,33}, {12,20}, {12,27}, {13,19}, {13,28}, {9,23}, {14,19}, {7,16}, {1,24}, {8,31}, {2,30}, {5,29}, {11,17}, {11,25}, {4,34}, {9,21}, {9,31}, {9,16}, {12,33}, {5,27}, {6,26}, {8,15}, {11,20}, {10,32}, {13,26}, {6,30}, {8,24}, {3,23}, {1,31}, {7,33}, {3,29}, {6,15}, {2,21}, {8,27}, {5,21}, {5,20}, {2,16}, {7,32}, {1,15}, {2,31}, {3,28}, {10,23}, {3,17}, {11,35}, {4,20}, {11,22}, {14,32}, {3,18}, {4,17}, {7,25}, {1,18}, {10,29}, {12,29}, {13,35}, {8,34}, {12,26}, {1,27}, {7,19}, {4,22}, {14,33}, {13,15}, {4,25}, {6,19}, {9,22}, {11,34}, {10,17}, {6,35}, {5,26}, {2,23}, {8,18}, {14,24}, {9,30}, {10,28}, {6,28}, {4,35}, {1,34}, {13,30}, {14,25}, {14,16}, {2,22}, {7,24}, {10,18}, {12,21} }; // ETB35.8 (= ET35.12) // Bipartite(7,28) Valencies [8,2] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 64210599936 EdgesBipt[35][8]:={ {3,22}, {2,14}, {5,32}, {6,34}, {1,29}, {2,30}, {7,31}, {7,12}, {5,11}, {1,20}, {3,8}, {3,24}, {7,33}, {3,29}, {6,32}, {2,21}, {5,9}, {5,16}, {5,23}, {4,12}, {4,33}, {2,16}, {5,25}, {7,10}, {1,15}, {3,15}, {6,20}, {3,17}, {4,21}, {6,27}, {3,31}, {5,30}, {1,27}, {4,28}, {7,19}, {6,18}, {2,28}, {5,18}, {6,25}, {2,23}, {1,8}, {1,13}, {2,35}, {7,17}, {2,9}, {6,11}, {4,26}, {1,22}, {4,14}, {4,35}, {1,34}, {4,19}, {6,13}, {7,24}, {3,10}, {7,26} }; // ETB35.9 (= ET35.13) // Bipartite(15,20) Valencies [8,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 619173642240 EdgesBipt[35][9]:={ {10,19}, {4,35}, {5,32}, {14,25}, {8,31}, {10,22}, {9,30}, {2,22}, {1,31}, {13,18}, {10,27}, {11,29}, {2,20}, {5,34}, {14,18}, {12,17}, {12,22}, {5,24}, {7,27}, {11,16}, {12,27}, {14,35}, {15,29}, {14,20}, {12,25}, {3,31}, {6,34}, {15,32}, {1,29}, {3,18}, {1,34}, {11,34}, {12,30}, {13,16}, {14,33}, {15,34}, {10,34}, {4,20}, {15,22}, {13,33}, {8,33}, {8,28}, {13,26}, {14,30}, {2,32}, {1,16}, {6,21}, {8,21}, {8,18}, {2,17}, {4,33}, {4,28}, {7,25}, {14,28}, {9,23}, {10,24}, {5,19}, {7,20}, {8,26}, {3,23}, {5,29}, {4,30}, {6,26}, {1,19}, {15,19}, {7,30}, {2,35}, {12,35}, {9,25}, {4,25}, {10,29}, {1,26}, {11,26}, {6,29}, {7,35}, {6,31}, {9,33}, {5,22}, {2,27}, {6,19}, {5,27}, {9,35}, {11,19}, {14,23}, {9,28}, {3,28}, {11,31}, {3,26}, {8,16}, {5,17}, {13,28}, {8,23}, {11,21}, {6,16}, {3,21}, {9,18}, {10,17}, {13,21}, {7,22}, {15,27}, {3,16}, {4,18}, {7,32}, {13,23}, {10,32}, {15,17}, {2,25}, {12,32}, {6,24}, {13,31}, {3,33}, {7,17}, {4,23}, {11,24}, {2,30}, {1,21}, {12,20}, {15,24}, {9,20}, {1,24} }; // ETB35.10 (= ET35.14) // Bipartite(15,20) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 955514880 EdgesBipt[35][10]:={ {13,25}, {14,21}, {13,29}, {8,31}, {11,23}, {9,30}, {3,29}, {2,22}, {5,30}, {11,33}, {13,18}, {10,27}, {5,35}, {11,29}, {6,23}, {5,34}, {4,16}, {12,17}, {7,33}, {12,22}, {5,24}, {2,33}, {12,33}, {7,27}, {9,21}, {11,16}, {12,18}, {12,27}, {7,23}, {2,28}, {9,31}, {14,20}, {3,31}, {6,34}, {2,18}, {4,26}, {10,30}, {3,19}, {1,29}, {3,18}, {7,28}, {11,34}, {1,34}, {15,34}, {10,34}, {4,20}, {2,23}, {8,28}, {14,16}, {10,25}, {15,25}, {14,30}, {2,32}, {6,33}, {1,16}, {8,21}, {8,18}, {2,17}, {10,24}, {8,35}, {13,35}, {15,20}, {15,35}, {4,31}, {4,30}, {6,26}, {14,26}, {1,19}, {12,28}, {4,21}, {1,26}, {11,26}, {8,19}, {6,29}, {12,23}, {14,32}, {2,27}, {6,19}, {3,35}, {1,23}, {14,22}, {5,27}, {11,19}, {7,18}, {14,31}, {5,20}, {4,22}, {3,28}, {5,17}, {13,28}, {6,16}, {9,26}, {3,21}, {10,17}, {4,32}, {13,21}, {7,22}, {15,27}, {8,25}, {3,25}, {7,32}, {15,17}, {1,33}, {12,32}, {10,20}, {9,32}, {6,24}, {13,31}, {10,35}, {9,16}, {13,19}, {15,30}, {7,17}, {11,24}, {15,24}, {5,25}, {9,20}, {1,24}, {8,29}, {9,22} }; // ETB35.11 (= ET35.15) // Bipartite(15,20) Valencies [8,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 737280 EdgesBipt[35][11]:={ {10,19}, {4,35}, {5,32}, {13,29}, {14,25}, {15,23}, {11,17}, {8,31}, {8,24}, {10,22}, {11,23}, {6,18}, {9,30}, {2,22}, {5,30}, {11,33}, {1,31}, {6,17}, {10,27}, {13,24}, {14,19}, {14,18}, {4,16}, {7,33}, {12,31}, {13,34}, {2,33}, {6,32}, {12,33}, {7,27}, {9,19}, {13,27}, {11,16}, {12,18}, {3,30}, {1,32}, {14,35}, {7,23}, {8,34}, {15,29}, {2,28}, {12,25}, {3,31}, {2,18}, {4,26}, {6,22}, {3,18}, {8,22}, {12,21}, {11,34}, {5,33}, {5,23}, {4,20}, {2,23}, {14,16}, {10,25}, {1,22}, {2,32}, {1,16}, {8,21}, {9,34}, {7,25}, {14,28}, {5,19}, {7,20}, {8,35}, {5,29}, {3,27}, {2,34}, {4,30}, {6,26}, {14,26}, {12,28}, {15,19}, {7,30}, {15,33}, {12,35}, {4,25}, {10,29}, {1,26}, {11,26}, {7,35}, {15,26}, {12,23}, {2,24}, {5,22}, {15,21}, {15,31}, {8,32}, {9,28}, {5,20}, {3,28}, {9,24}, {15,16}, {6,16}, {3,21}, {9,18}, {10,17}, {11,27}, {13,21}, {1,20}, {8,25}, {9,29}, {10,32}, {13,17}, {3,20}, {14,29}, {3,17}, {13,31}, {4,34}, {10,35}, {6,27}, {13,19}, {7,17}, {11,24}, {1,30}, {1,21}, {4,24}, {9,20}, {6,28} }; // ETB35.12 (= ET35.17) // Bipartite(14,21) Valencies [9,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6019743744 EdgesBipt[35][12]:={ {1,15}, {4,35}, {14,21}, {13,29}, {12,26}, {9,30}, {12,19}, {14,34}, {11,33}, {6,17}, {10,27}, {13,24}, {5,34}, {1,25}, {12,15}, {12,22}, {3,32}, {2,33}, {12,33}, {7,27}, {9,19}, {1,32}, {12,27}, {14,35}, {7,23}, {3,34}, {9,31}, {14,20}, {3,31}, {2,19}, {5,26}, {4,26}, {9,17}, {10,18}, {6,22}, {14,27}, {1,29}, {3,18}, {8,22}, {8,15}, {7,28}, {5,33}, {10,34}, {2,31}, {2,23}, {14,16}, {10,25}, {2,16}, {1,22}, {14,30}, {1,16}, {6,21}, {12,34}, {4,33}, {8,18}, {2,17}, {4,28}, {10,31}, {14,28}, {9,23}, {10,24}, {5,19}, {5,15}, {7,20}, {13,35}, {5,29}, {11,28}, {3,27}, {6,15}, {11,18}, {7,30}, {4,21}, {12,29}, {4,25}, {11,26}, {13,22}, {6,29}, {7,35}, {2,24}, {9,33}, {6,31}, {5,22}, {1,23}, {5,27}, {11,19}, {14,23}, {8,32}, {5,20}, {8,16}, {3,24}, {9,24}, {11,25}, {13,28}, {8,23}, {7,16}, {9,26}, {11,21}, {10,17}, {4,32}, {13,21}, {11,32}, {4,18}, {8,25}, {3,25}, {2,26}, {10,32}, {13,17}, {3,20}, {7,21}, {13,15}, {3,17}, {10,20}, {6,35}, {6,24}, {8,30}, {13,31}, {9,16}, {7,34}, {1,30}, {11,35}, {2,30}, {1,18}, {12,20}, {4,19}, {8,29}, {6,28} }; // ETB35.13 (= ET35.18) // Bipartite(14,21) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11757312 EdgesBipt[35][13]:={ {1,15}, {10,19}, {7,19}, {14,21}, {11,15}, {10,21}, {10,22}, {6,18}, {9,30}, {5,30}, {11,33}, {4,27}, {11,29}, {5,34}, {1,25}, {12,15}, {12,17}, {7,33}, {12,31}, {12,22}, {13,34}, {2,33}, {6,32}, {6,25}, {13,27}, {9,21}, {12,18}, {1,32}, {11,22}, {14,35}, {3,34}, {9,31}, {12,25}, {3,31}, {6,34}, {2,19}, {9,17}, {13,20}, {3,19}, {1,29}, {7,28}, {11,34}, {13,16}, {5,23}, {4,20}, {2,31}, {2,23}, {8,33}, {7,26}, {2,16}, {1,22}, {1,16}, {6,21}, {2,17}, {8,18}, {10,15}, {7,25}, {14,28}, {9,23}, {5,15}, {8,26}, {13,35}, {5,29}, {4,31}, {3,27}, {10,33}, {4,17}, {12,29}, {13,30}, {4,25}, {10,29}, {8,19}, {11,26}, {7,35}, {12,24}, {2,24}, {5,22}, {14,17}, {1,23}, {14,22}, {5,27}, {9,35}, {10,28}, {11,19}, {7,18}, {14,31}, {8,32}, {9,28}, {5,20}, {3,26}, {8,16}, {3,24}, {9,24}, {13,28}, {8,23}, {6,20}, {11,27}, {4,32}, {13,21}, {14,15}, {4,18}, {8,25}, {7,32}, {13,23}, {2,26}, {3,20}, {7,21}, {11,20}, {14,29}, {12,32}, {3,17}, {6,35}, {8,30}, {10,26}, {4,34}, {10,35}, {6,27}, {9,16}, {3,33}, {1,30}, {5,16}, {2,30}, {1,18}, {14,24}, {4,24}, {6,28} }; // ETB35.14 (= ET35.19) // Bipartite(10,25) Valencies [10,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 200 EdgesBipt[35][14]:={ {1,15}, {9,13}, {5,32}, {6,12}, {3,15}, {6,18}, {4,14}, {1,11}, {3,29}, {4,27}, {6,17}, {5,35}, {7,24}, {5,34}, {9,12}, {2,33}, {7,31}, {6,25}, {7,27}, {3,30}, {3,34}, {9,31}, {5,26}, {8,13}, {6,22}, {5,21}, {10,23}, {2,29}, {3,19}, {10,30}, {1,29}, {8,22}, {7,28}, {2,14}, {5,33}, {4,20}, {10,34}, {6,11}, {2,31}, {8,28}, {2,16}, {1,16}, {6,21}, {10,13}, {8,21}, {4,33}, {10,31}, {1,12}, {4,29}, {10,16}, {7,25}, {7,20}, {8,26}, {3,23}, {2,34}, {6,15}, {1,19}, {4,17}, {2,35}, {4,15}, {8,19}, {7,35}, {2,24}, {4,11}, {2,27}, {6,19}, {1,23}, {5,27}, {10,28}, {7,18}, {8,32}, {9,28}, {5,20}, {3,26}, {5,17}, {9,24}, {8,23}, {6,20}, {3,21}, {1,14}, {9,18}, {9,11}, {7,22}, {1,13}, {4,18}, {8,25}, {7,32}, {10,32}, {9,14}, {3,17}, {10,26}, {10,35}, {9,16}, {3,33}, {1,30}, {2,30}, {5,25}, {4,24}, {8,12}, {9,22} }; // ETB35.15 (= ET35.20) // Bipartite(10,25) Valencies [10,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7962624000000 EdgesBipt[35][15]:={ {9,13}, {4,35}, {10,19}, {5,32}, {5,14}, {8,31}, {10,22}, {1,11}, {9,30}, {2,22}, {6,14}, {1,31}, {10,27}, {2,20}, {5,34}, {5,24}, {7,27}, {7,15}, {3,31}, {6,34}, {2,15}, {8,13}, {1,29}, {3,18}, {1,34}, {3,11}, {4,20}, {10,34}, {6,11}, {8,33}, {8,28}, {3,13}, {10,12}, {2,32}, {1,16}, {6,21}, {8,21}, {8,18}, {2,17}, {4,33}, {4,28}, {7,25}, {5,19}, {9,23}, {10,24}, {7,20}, {8,26}, {3,23}, {5,29}, {4,30}, {6,26}, {1,19}, {8,11}, {7,30}, {2,35}, {9,25}, {4,15}, {4,25}, {9,15}, {10,29}, {1,26}, {6,29}, {7,35}, {6,31}, {9,33}, {5,22}, {2,27}, {6,19}, {5,27}, {9,35}, {2,12}, {9,28}, {10,14}, {3,28}, {3,26}, {8,16}, {5,17}, {8,23}, {6,16}, {3,21}, {1,14}, {9,18}, {10,17}, {7,22}, {3,16}, {4,18}, {7,32}, {10,32}, {5,12}, {2,25}, {6,24}, {3,33}, {7,17}, {4,23}, {7,12}, {4,13}, {1,21}, {2,30}, {9,20}, {1,24} }; // ETB35.16 (= ET35.21) // Bipartite(10,25) Valencies [10,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2985984000000 EdgesBipt[35][16]:={ {7,19}, {5,14}, {8,31}, {6,18}, {9,30}, {1,11}, {2,22}, {6,14}, {5,30}, {1,31}, {5,35}, {7,24}, {6,23}, {2,20}, {5,34}, {4,16}, {6,13}, {5,24}, {3,32}, {7,27}, {9,21}, {9,31}, {6,34}, {2,15}, {4,26}, {10,18}, {10,23}, {10,30}, {1,29}, {3,18}, {8,22}, {1,34}, {3,13}, {10,25}, {2,32}, {6,33}, {1,16}, {10,13}, {8,21}, {2,17}, {4,33}, {4,28}, {7,29}, {10,15}, {3,22}, {5,19}, {5,15}, {8,26}, {3,23}, {8,17}, {5,29}, {7,14}, {4,31}, {3,27}, {10,33}, {1,19}, {8,11}, {4,21}, {2,35}, {9,25}, {9,15}, {1,26}, {6,29}, {4,11}, {2,27}, {6,19}, {8,27}, {9,35}, {10,28}, {2,12}, {5,20}, {8,32}, {3,28}, {8,16}, {3,12}, {9,26}, {1,14}, {9,11}, {7,22}, {4,18}, {7,32}, {2,25}, {3,17}, {10,20}, {6,24}, {10,35}, {9,16}, {7,34}, {3,33}, {7,17}, {4,23}, {7,12}, {4,13}, {1,21}, {2,30}, {5,25}, {9,20}, {8,12}, {1,24}, {6,28} }; // ETB35.17 (= ET35.23) // Bipartite(5,30) Valencies [12,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1934917632000000 EdgesBipt[35][17]:={ {5,12}, {1,26}, {4,8}, {4,13}, {4,23}, {5,32}, {1,14}, {1,24}, {5,24}, {2,32}, {2,30}, {1,29}, {5,29}, {2,10}, {5,27}, {4,10}, {3,21}, {1,6}, {3,33}, {3,8}, {3,23}, {1,31}, {2,12}, {4,30}, {5,9}, {5,7}, {4,18}, {4,33}, {2,7}, {3,11}, {3,16}, {3,28}, {2,20}, {1,16}, {5,19}, {1,21}, {4,20}, {5,17}, {2,15}, {3,18}, {3,31}, {3,26}, {4,15}, {4,28}, {2,27}, {3,6}, {4,25}, {5,14}, {2,17}, {3,13}, {5,34}, {2,35}, {1,19}, {1,9}, {2,25}, {4,35}, {1,34}, {1,11}, {5,22}, {2,22} }; // ETB35.18 (= ET35.24) // Bipartite(5,30) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255941120 EdgesBipt[35][18]:={ {1,26}, {1,14}, {1,24}, {5,24}, {2,32}, {1,29}, {1,33}, {5,27}, {4,11}, {4,10}, {5,10}, {3,21}, {1,6}, {5,15}, {4,31}, {3,8}, {4,16}, {3,9}, {2,12}, {3,29}, {2,33}, {4,6}, {4,30}, {4,32}, {4,12}, {5,20}, {5,7}, {5,25}, {2,7}, {3,11}, {1,16}, {3,28}, {3,15}, {2,18}, {3,25}, {4,21}, {4,20}, {3,19}, {5,17}, {3,18}, {3,31}, {5,30}, {2,27}, {4,22}, {2,28}, {5,14}, {2,17}, {2,23}, {5,34}, {1,13}, {5,35}, {1,19}, {1,9}, {4,26}, {2,13}, {2,8}, {1,34}, {1,23}, {2,22}, {3,35} }; // ETB35.19 (= ET35.25) // Bipartite(7,28) Valencies [12,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 168 EdgesBipt[35][19]:={ {5,12}, {1,26}, {4,8}, {4,9}, {4,23}, {5,32}, {6,34}, {1,24}, {2,32}, {2,30}, {1,29}, {2,29}, {1,32}, {2,10}, {6,14}, {4,10}, {3,21}, {3,27}, {7,13}, {5,11}, {6,10}, {1,12}, {5,15}, {3,8}, {3,23}, {4,16}, {1,31}, {7,33}, {2,33}, {6,15}, {3,20}, {5,9}, {7,30}, {6,16}, {5,21}, {4,12}, {4,33}, {3,11}, {2,31}, {1,16}, {3,28}, {7,18}, {6,20}, {1,21}, {5,28}, {3,19}, {3,30}, {5,17}, {6,27}, {2,15}, {3,31}, {1,18}, {7,22}, {1,27}, {7,20}, {4,28}, {7,19}, {3,34}, {5,18}, {3,13}, {6,25}, {6,17}, {6,35}, {2,23}, {1,8}, {5,35}, {2,34}, {2,9}, {5,13}, {7,17}, {6,11}, {4,26}, {2,25}, {4,14}, {4,35}, {4,19}, {7,14}, {1,25}, {5,22}, {2,22}, {7,24}, {6,24}, {7,26}, {7,29} }; // ETB35.20 (= ET35.26) // Bipartite(7,28) Valencies [12,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 770527199232 EdgesBipt[35][20]:={ {3,32}, {5,12}, {5,33}, {7,16}, {2,26}, {1,29}, {2,30}, {1,30}, {5,29}, {1,32}, {7,9}, {7,34}, {2,24}, {7,23}, {2,10}, {5,27}, {6,14}, {4,11}, {6,31}, {3,27}, {7,13}, {6,10}, {5,15}, {3,24}, {2,12}, {2,33}, {6,15}, {3,20}, {5,8}, {7,30}, {4,32}, {4,12}, {5,20}, {7,27}, {4,18}, {2,16}, {4,33}, {1,15}, {3,11}, {2,31}, {1,16}, {3,17}, {5,19}, {3,25}, {4,21}, {3,18}, {6,21}, {3,31}, {1,18}, {7,21}, {7,35}, {7,20}, {4,28}, {4,25}, {3,34}, {6,22}, {2,19}, {2,17}, {7,28}, {3,13}, {6,17}, {6,35}, {2,23}, {5,26}, {1,8}, {5,34}, {2,9}, {5,13}, {1,9}, {4,26}, {1,22}, {4,14}, {4,35}, {6,28}, {1,23}, {4,19}, {7,14}, {1,11}, {1,25}, {5,22}, {6,29}, {6,8}, {6,24}, {3,10} }; // ETB35.21 (= ET35.27) // Bipartite(7,28) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 688128 EdgesBipt[35][21]:={ {1,26}, {4,8}, {4,13}, {5,32}, {6,34}, {7,16}, {2,26}, {5,24}, {2,30}, {2,29}, {5,29}, {1,32}, {7,34}, {7,31}, {1,33}, {6,26}, {4,11}, {5,10}, {3,21}, {6,12}, {7,13}, {3,33}, {6,10}, {1,12}, {5,15}, {3,23}, {1,31}, {3,24}, {3,9}, {2,12}, {6,32}, {5,9}, {7,30}, {5,23}, {7,27}, {2,16}, {4,33}, {5,31}, {3,11}, {3,16}, {2,20}, {6,20}, {4,27}, {3,25}, {1,21}, {5,28}, {3,19}, {3,30}, {5,17}, {6,27}, {2,15}, {1,18}, {7,21}, {7,35}, {4,15}, {7,20}, {4,28}, {1,17}, {4,22}, {6,18}, {4,25}, {5,14}, {7,28}, {5,18}, {6,25}, {2,23}, {1,8}, {2,34}, {2,9}, {1,19}, {7,17}, {6,11}, {1,22}, {4,14}, {2,8}, {1,35}, {4,19}, {7,14}, {2,22}, {6,13}, {6,24}, {3,10}, {3,35}, {4,29} }; // ETB35.22 (= ET35.28) // Bipartite(14,21) Valencies [12,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[35][22]:={ {11,17}, {2,24}, {1,20}, {11,20}, {9,28}, {2,33}, {6,16}, {6,32}, {12,29}, {13,21}, {7,15}, {5,34}, {14,19}, {4,26}, {4,16}, {11,25}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {4,29}, {1,27}, {10,23}, {2,15}, {2,19}, {10,33}, {2,27}, {3,35}, {5,20}, {13,35}, {12,35}, {2,28}, {12,34}, {1,30}, {9,35}, {14,28}, {8,31}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {10,30}, {3,17}, {3,34}, {2,25}, {11,33}, {6,31}, {14,33}, {5,22}, {8,19}, {1,18}, {9,32}, {9,26}, {9,27}, {9,19}, {14,30}, {5,25}, {7,32}, {11,22}, {14,24}, {6,30}, {12,16}, {4,33}, {5,23}, {10,29}, {4,21}, {10,31}, {3,20}, {13,22}, {10,21}, {13,18}, {1,29}, {8,17}, {2,16}, {13,31}, {3,32}, {9,25}, {7,16}, {7,26}, {2,32}, {13,33}, {14,15}, {1,23}, {11,29}, {5,30}, {7,17}, {11,30}, {12,28}, {12,25}, {13,25}, {13,28}, {4,15}, {1,28}, {3,27}, {6,23}, {8,26}, {9,22}, {7,31}, {14,17}, {8,21}, {3,19}, {1,24}, {14,18}, {14,22}, {13,24}, {11,24}, {6,27}, {5,31}, {12,19}, {6,26}, {12,30}, {8,23}, {3,21}, {7,29}, {1,15}, {13,27}, {1,35}, {14,20}, {3,16}, {10,35}, {7,23}, {3,30}, {5,33}, {8,34}, {10,27}, {1,26}, {4,34}, {10,34}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {5,26}, {4,18}, {11,19}, {4,25}, {4,20}, {12,24}, {8,20}, {3,28}, {14,35}, {7,24}, {3,31}, {5,15}, {11,34}, {6,20}, {5,21}, {9,15}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {9,23}, {7,21}, {8,29}, {4,32}, {11,18}, {12,21}, {14,26}, {7,18}, {5,16} }; // ETB35.23 (= ET35.29) // Bipartite(14,21) Valencies [12,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6019743744 EdgesBipt[35][23]:={ {3,33}, {10,24}, {11,20}, {13,32}, {2,33}, {6,16}, {6,32}, {4,27}, {12,29}, {13,21}, {7,15}, {11,35}, {11,25}, {6,17}, {2,23}, {12,22}, {4,29}, {1,32}, {8,33}, {10,26}, {7,22}, {2,19}, {10,33}, {2,27}, {1,19}, {3,35}, {13,35}, {2,26}, {14,31}, {7,34}, {12,35}, {8,25}, {8,15}, {8,31}, {13,16}, {11,28}, {3,17}, {6,21}, {3,34}, {2,25}, {14,23}, {6,31}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,20}, {9,32}, {9,26}, {9,27}, {5,29}, {9,19}, {14,30}, {11,15}, {1,31}, {11,22}, {10,28}, {14,24}, {1,22}, {6,30}, {12,16}, {5,23}, {4,21}, {10,31}, {3,20}, {9,34}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {11,21}, {4,35}, {9,25}, {7,16}, {2,32}, {14,15}, {11,29}, {6,24}, {5,30}, {7,17}, {13,23}, {12,28}, {8,22}, {13,25}, {13,28}, {9,20}, {4,15}, {3,27}, {4,28}, {1,33}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {7,31}, {12,33}, {13,30}, {14,17}, {8,32}, {3,19}, {1,24}, {12,23}, {14,22}, {13,24}, {12,19}, {12,30}, {14,34}, {3,21}, {1,25}, {7,29}, {1,15}, {6,28}, {12,15}, {9,30}, {14,20}, {10,35}, {7,23}, {5,33}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {4,34}, {10,34}, {11,32}, {8,24}, {6,25}, {9,33}, {5,26}, {8,18}, {4,18}, {10,19}, {4,25}, {4,20}, {3,28}, {7,27}, {7,24}, {3,31}, {10,20}, {5,15}, {11,34}, {5,19}, {5,21}, {2,30}, {13,17}, {5,35}, {2,18}, {6,35}, {9,16}, {9,23}, {14,27}, {8,29}, {4,32}, {11,18}, {12,21}, {14,29}, {5,16} }; // ETB35.24 (= ET35.30) // Bipartite(15,20) Valencies [12,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 955514880 EdgesBipt[35][24]:={ {11,17}, {2,24}, {1,20}, {5,17}, {11,20}, {13,32}, {2,33}, {4,27}, {12,29}, {14,19}, {4,26}, {3,22}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {15,31}, {4,29}, {1,27}, {3,25}, {10,26}, {4,19}, {7,22}, {2,19}, {3,35}, {13,35}, {7,34}, {1,21}, {12,35}, {8,25}, {12,34}, {1,30}, {5,32}, {9,35}, {4,23}, {13,16}, {10,22}, {15,16}, {3,18}, {11,28}, {8,16}, {15,29}, {6,21}, {3,34}, {2,25}, {14,23}, {11,33}, {6,31}, {2,34}, {14,33}, {1,17}, {5,22}, {9,29}, {1,18}, {15,32}, {9,26}, {9,27}, {5,29}, {9,19}, {14,30}, {7,32}, {15,26}, {1,31}, {7,25}, {11,31}, {10,28}, {2,35}, {15,27}, {6,30}, {4,33}, {10,29}, {10,31}, {3,20}, {13,22}, {15,19}, {10,21}, {14,16}, {6,18}, {13,18}, {3,32}, {11,21}, {4,35}, {9,25}, {2,32}, {6,33}, {5,18}, {11,23}, {1,23}, {6,24}, {11,30}, {12,25}, {8,22}, {13,25}, {8,35}, {13,28}, {9,20}, {1,28}, {1,33}, {15,17}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {12,33}, {13,30}, {14,17}, {8,32}, {1,24}, {12,23}, {13,24}, {11,24}, {6,27}, {5,31}, {12,19}, {10,32}, {7,29}, {6,28}, {9,30}, {14,20}, {15,21}, {14,25}, {3,16}, {13,26}, {15,18}, {7,23}, {2,21}, {3,30}, {8,34}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {2,22}, {15,22}, {9,17}, {10,18}, {8,24}, {2,31}, {9,33}, {6,34}, {5,27}, {5,26}, {8,18}, {15,28}, {10,19}, {4,25}, {4,20}, {12,24}, {8,20}, {3,28}, {14,35}, {7,24}, {7,33}, {12,31}, {11,34}, {13,34}, {5,19}, {6,20}, {7,35}, {5,21}, {13,20}, {1,34}, {7,19}, {4,17}, {9,16}, {9,23}, {7,21}, {14,27}, {11,18}, {12,21}, {14,29}, {14,26}, {10,16}, {5,16} }; // ETB35.25 (= ET35.31) // Bipartite(15,20) Valencies [12,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 737280 EdgesBipt[35][25]:={ {10,25}, {5,17}, {11,20}, {13,32}, {2,33}, {6,32}, {4,27}, {12,29}, {4,24}, {15,24}, {8,30}, {2,23}, {4,29}, {1,32}, {8,33}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {2,19}, {10,33}, {2,27}, {1,19}, {3,35}, {5,20}, {13,35}, {2,26}, {14,31}, {7,34}, {1,21}, {12,35}, {8,25}, {12,34}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {11,28}, {6,29}, {3,17}, {15,29}, {6,21}, {11,33}, {6,31}, {4,22}, {8,19}, {9,29}, {1,18}, {14,21}, {12,17}, {9,26}, {9,27}, {9,19}, {14,30}, {5,25}, {7,32}, {15,26}, {1,31}, {11,31}, {14,24}, {1,22}, {6,30}, {5,23}, {4,21}, {10,31}, {3,20}, {9,34}, {13,22}, {15,19}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {2,16}, {11,21}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {11,23}, {5,30}, {7,17}, {11,30}, {15,35}, {12,25}, {8,22}, {15,34}, {13,25}, {8,35}, {13,28}, {9,20}, {1,28}, {3,27}, {4,28}, {3,29}, {6,23}, {3,26}, {5,28}, {12,33}, {13,30}, {2,17}, {12,27}, {8,32}, {3,19}, {12,23}, {14,22}, {13,24}, {11,24}, {5,31}, {12,19}, {8,23}, {14,34}, {10,32}, {1,25}, {6,19}, {6,28}, {9,30}, {13,27}, {1,35}, {14,20}, {14,25}, {7,28}, {3,16}, {11,26}, {15,18}, {10,35}, {11,16}, {7,23}, {3,30}, {5,33}, {8,34}, {10,17}, {2,29}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {9,17}, {14,32}, {15,33}, {8,24}, {5,27}, {4,18}, {15,28}, {12,24}, {8,20}, {3,28}, {7,27}, {14,35}, {15,23}, {7,24}, {9,24}, {7,33}, {12,31}, {11,34}, {13,34}, {6,20}, {5,21}, {2,30}, {13,17}, {13,20}, {5,35}, {9,31}, {4,17}, {9,21}, {9,16}, {8,29}, {4,32}, {11,18}, {12,21}, {14,26}, {7,18}, {10,16} }; // ETB35.26 (= ET35.35) // Bipartite(10,25) Valencies [15,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2985984000000 EdgesBipt[35][26]:={ {3,33}, {10,24}, {1,20}, {2,24}, {9,28}, {6,32}, {6,16}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,30}, {6,17}, {1,13}, {4,29}, {3,13}, {3,25}, {3,15}, {10,23}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {10,33}, {3,35}, {2,26}, {2,14}, {1,30}, {6,11}, {8,31}, {8,27}, {9,11}, {10,22}, {6,22}, {3,18}, {8,16}, {6,21}, {2,25}, {7,12}, {6,31}, {2,34}, {4,22}, {8,19}, {1,18}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {5,29}, {8,14}, {7,32}, {7,13}, {7,25}, {10,28}, {2,35}, {6,12}, {6,30}, {5,23}, {10,29}, {3,20}, {2,20}, {1,29}, {7,30}, {8,17}, {2,16}, {4,35}, {5,18}, {1,23}, {7,17}, {8,11}, {5,24}, {8,22}, {5,14}, {4,15}, {1,28}, {3,11}, {1,33}, {10,13}, {10,12}, {3,26}, {5,28}, {8,26}, {9,22}, {6,15}, {9,13}, {8,32}, {8,21}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {10,32}, {3,21}, {1,25}, {9,12}, {1,15}, {2,11}, {1,35}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {2,29}, {10,27}, {4,34}, {4,14}, {10,34}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {5,26}, {10,19}, {4,25}, {4,12}, {4,20}, {5,13}, {3,28}, {7,27}, {3,31}, {1,14}, {7,33}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,31}, {1,34}, {4,17}, {6,35}, {9,21}, {9,16}, {9,23}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB35.27 (= ET35.36) // Bipartite(14,21) Valencies [15,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 645120 EdgesBipt[35][27]:={ {11,17}, {3,33}, {10,25}, {1,20}, {5,17}, {2,24}, {9,28}, {13,32}, {2,33}, {6,16}, {6,32}, {4,27}, {12,29}, {7,15}, {11,35}, {4,26}, {3,22}, {4,16}, {11,25}, {8,30}, {2,23}, {12,22}, {4,29}, {8,33}, {1,27}, {3,25}, {3,15}, {4,19}, {7,22}, {2,19}, {10,33}, {1,19}, {3,35}, {5,20}, {2,26}, {14,31}, {12,35}, {2,28}, {1,30}, {8,15}, {9,35}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {10,30}, {6,29}, {8,16}, {3,34}, {2,25}, {14,23}, {11,33}, {2,34}, {14,33}, {1,17}, {5,22}, {8,19}, {1,18}, {9,32}, {14,21}, {12,17}, {9,26}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {11,15}, {7,32}, {1,31}, {10,28}, {14,24}, {2,35}, {1,22}, {6,30}, {4,33}, {12,16}, {5,23}, {10,29}, {4,21}, {10,31}, {3,20}, {9,34}, {13,22}, {10,21}, {2,20}, {6,18}, {13,18}, {7,30}, {8,17}, {3,32}, {11,21}, {4,35}, {9,25}, {7,26}, {2,32}, {5,18}, {14,15}, {11,23}, {6,24}, {11,29}, {7,17}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,25}, {8,35}, {13,28}, {9,20}, {4,15}, {3,27}, {1,33}, {3,29}, {6,23}, {5,28}, {8,26}, {7,31}, {13,30}, {2,17}, {14,17}, {1,24}, {14,18}, {12,23}, {14,22}, {5,31}, {6,27}, {13,24}, {6,26}, {12,19}, {10,32}, {3,21}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {9,30}, {13,27}, {1,35}, {7,28}, {3,16}, {11,26}, {13,26}, {10,35}, {11,16}, {7,23}, {13,19}, {2,21}, {3,30}, {8,34}, {11,27}, {10,27}, {1,26}, {4,34}, {1,16}, {10,34}, {11,32}, {9,17}, {14,32}, {8,24}, {6,25}, {2,31}, {9,33}, {6,34}, {8,18}, {4,18}, {11,19}, {4,25}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {9,24}, {10,20}, {5,15}, {7,33}, {12,31}, {11,34}, {13,34}, {5,19}, {6,20}, {5,21}, {2,30}, {13,20}, {5,35}, {9,31}, {1,34}, {4,17}, {9,21}, {9,23}, {7,21}, {14,27}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB35.28 (= ET35.37) // Bipartite(7,28) Valencies [16,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 770527199232 EdgesBipt[35][28]:={ {1,15}, {4,35}, {5,14}, {6,10}, {6,18}, {4,14}, {1,11}, {6,14}, {5,30}, {4,8}, {4,27}, {1,31}, {6,17}, {2,11}, {5,35}, {7,24}, {6,23}, {2,20}, {1,25}, {2,33}, {6,32}, {6,25}, {7,31}, {7,27}, {1,32}, {7,15}, {7,23}, {3,10}, {3,34}, {3,31}, {2,19}, {2,18}, {6,9}, {5,26}, {5,9}, {5,21}, {3,19}, {1,29}, {7,10}, {5,23}, {5,33}, {4,20}, {6,11}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {6,21}, {4,28}, {7,29}, {3,14}, {2,13}, {1,12}, {4,29}, {5,19}, {5,15}, {7,20}, {7,13}, {5,29}, {3,27}, {2,34}, {1,19}, {4,21}, {7,30}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {6,31}, {4,11}, {5,22}, {7,8}, {2,27}, {3,35}, {6,30}, {5,8}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {6,16}, {7,16}, {3,21}, {7,9}, {4,32}, {7,22}, {4,18}, {2,26}, {3,20}, {1,33}, {5,12}, {2,25}, {3,17}, {6,24}, {6,35}, {4,34}, {3,33}, {7,34}, {7,17}, {1,8}, {5,16}, {4,13}, {2,30}, {1,18}, {1,24}, {6,28} }; // ETB35.29 (= ET35.38) // Bipartite(15,20) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7430083706880 EdgesBipt[35][29]:={ {11,17}, {3,33}, {2,24}, {5,17}, {10,25}, {2,33}, {6,16}, {6,32}, {4,27}, {12,29}, {13,21}, {4,24}, {14,19}, {4,26}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {15,31}, {4,29}, {1,32}, {8,33}, {1,27}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {3,35}, {5,20}, {13,35}, {14,31}, {7,34}, {1,21}, {12,35}, {8,25}, {2,28}, {12,34}, {5,32}, {9,35}, {8,31}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {11,28}, {10,30}, {6,29}, {8,16}, {6,21}, {3,34}, {2,25}, {6,31}, {11,33}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {9,32}, {14,21}, {12,17}, {15,32}, {9,26}, {9,27}, {12,20}, {9,19}, {14,30}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {7,25}, {10,28}, {11,31}, {14,24}, {2,35}, {1,22}, {15,27}, {5,23}, {4,21}, {3,20}, {10,31}, {9,34}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {1,29}, {7,30}, {13,31}, {11,21}, {4,35}, {9,25}, {2,32}, {6,33}, {13,33}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {15,35}, {13,23}, {12,28}, {12,25}, {13,25}, {8,35}, {13,28}, {15,20}, {9,20}, {1,28}, {1,33}, {15,17}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {12,33}, {13,30}, {2,17}, {12,27}, {14,17}, {8,21}, {3,19}, {1,24}, {12,23}, {14,22}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {14,34}, {10,32}, {3,21}, {6,19}, {7,29}, {6,28}, {9,30}, {14,20}, {15,21}, {14,25}, {7,28}, {3,16}, {11,26}, {13,26}, {15,18}, {10,35}, {7,23}, {11,16}, {13,19}, {3,30}, {5,33}, {8,34}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {15,22}, {11,32}, {9,17}, {10,18}, {14,32}, {15,33}, {8,24}, {6,34}, {5,27}, {5,26}, {8,18}, {15,28}, {11,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {14,35}, {15,23}, {7,24}, {3,31}, {9,24}, {10,20}, {7,33}, {11,34}, {13,34}, {7,35}, {5,21}, {2,30}, {15,30}, {13,20}, {5,35}, {2,18}, {9,31}, {1,34}, {7,19}, {4,17}, {9,21}, {9,16}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {14,29}, {14,26}, {7,18}, {10,16}, {5,16} }; // ETB35.30 (= ET35.40) // Bipartite(5,30) Valencies [18,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255941120 EdgesBipt[35][30]:={ {2,11}, {3,22}, {3,32}, {5,12}, {2,14}, {4,13}, {4,9}, {4,23}, {5,32}, {1,14}, {1,24}, {3,12}, {2,32}, {1,30}, {2,29}, {5,29}, {2,24}, {1,33}, {5,27}, {1,10}, {4,10}, {5,11}, {4,7}, {1,20}, {3,8}, {1,31}, {4,16}, {3,24}, {2,12}, {2,33}, {3,20}, {5,8}, {2,21}, {4,6}, {4,30}, {5,9}, {5,16}, {5,21}, {5,7}, {4,33}, {1,7}, {5,31}, {2,31}, {3,16}, {3,28}, {3,15}, {5,19}, {1,21}, {3,25}, {4,27}, {5,28}, {4,20}, {3,30}, {5,17}, {5,6}, {2,15}, {3,14}, {3,18}, {4,17}, {1,18}, {3,26}, {4,15}, {1,27}, {1,17}, {3,6}, {4,25}, {3,34}, {2,19}, {1,28}, {5,18}, {2,23}, {5,26}, {1,8}, {1,13}, {2,35}, {2,34}, {2,9}, {4,26}, {2,13}, {2,25}, {4,35}, {1,34}, {1,23}, {4,19}, {1,11}, {5,22}, {2,22}, {3,10}, {3,35}, {4,29} }; // ETB35.31 (= ET35.41) // Bipartite(14,21) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 180592312320 EdgesBipt[35][31]:={ {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {2,33}, {6,16}, {4,27}, {12,29}, {13,21}, {7,15}, {11,35}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {4,29}, {1,32}, {8,33}, {1,27}, {3,25}, {3,15}, {10,26}, {4,19}, {7,22}, {2,19}, {1,19}, {2,27}, {10,33}, {3,35}, {13,35}, {2,26}, {14,31}, {7,34}, {12,35}, {8,25}, {2,28}, {1,30}, {5,32}, {8,15}, {9,35}, {14,28}, {4,23}, {8,27}, {8,31}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {2,25}, {14,23}, {6,31}, {11,33}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,20}, {9,32}, {14,21}, {12,17}, {9,26}, {9,27}, {5,29}, {9,19}, {14,30}, {5,25}, {7,32}, {11,15}, {1,31}, {11,22}, {7,25}, {10,28}, {14,24}, {2,35}, {1,22}, {6,30}, {4,33}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {9,34}, {13,22}, {10,21}, {2,20}, {14,16}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {3,32}, {11,21}, {4,35}, {9,25}, {7,16}, {2,32}, {6,33}, {13,33}, {5,18}, {14,15}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {8,22}, {13,28}, {9,20}, {4,15}, {3,27}, {4,28}, {1,33}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {12,26}, {7,31}, {12,33}, {6,15}, {13,30}, {2,17}, {14,17}, {8,32}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {5,31}, {6,27}, {13,24}, {6,26}, {12,19}, {12,30}, {8,23}, {14,34}, {10,32}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {12,15}, {9,30}, {13,27}, {14,20}, {14,25}, {7,28}, {11,26}, {13,26}, {10,35}, {7,23}, {11,16}, {13,19}, {2,21}, {5,33}, {8,34}, {9,18}, {10,17}, {3,24}, {11,27}, {10,27}, {1,26}, {4,34}, {1,16}, {10,34}, {11,32}, {9,17}, {10,18}, {14,32}, {8,24}, {2,31}, {9,33}, {6,34}, {5,26}, {8,18}, {4,18}, {11,19}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {14,35}, {7,24}, {3,31}, {9,24}, {10,20}, {5,15}, {12,31}, {11,34}, {13,34}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {13,17}, {13,20}, {5,35}, {2,18}, {1,34}, {9,31}, {6,35}, {9,16}, {9,21}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {7,18}, {5,16} }; // ETB35.32 (= ET35.42) // Bipartite(17,18) Valencies [18,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2277243837099849063333888000000 EdgesBipt[35][32]:={ {13,21}, {15,33}, {9,32}, {6,25}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {9,35}, {15,19}, {1,29}, {6,18}, {16,34}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {16,29}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {17,31}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {6,23}, {16,31}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {15,29}, {2,22}, {16,20}, {2,31}, {14,19}, {1,33}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {15,18}, {10,34}, {10,27}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {16,19}, {9,34}, {10,32}, {12,35}, {6,35}, {17,32}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {5,30} }; // ETB35.33 (= ET35.44) // Bipartite(16,19) Valencies [19,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2545154876758654835490816000000 EdgesBipt[35][33]:={ {13,21}, {15,33}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {16,22}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {9,35}, {15,19}, {1,29}, {6,18}, {16,34}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {3,17}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {8,17}, {16,29}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {6,23}, {16,31}, {15,17}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {1,33}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {15,18}, {10,34}, {10,27}, {5,17}, {16,33}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {14,17}, {16,19}, {9,34}, {10,32}, {12,35}, {6,35}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30} }; // ETB35.34 (= ET35.45) // Bipartite(10,25) Valencies [20,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 28800 EdgesBipt[35][34]:={ {1,11}, {5,17}, {1,20}, {10,24}, {10,25}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {3,22}, {4,16}, {4,30}, {6,17}, {2,23}, {1,13}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {2,19}, {2,27}, {10,33}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {8,27}, {8,31}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {3,17}, {6,21}, {3,34}, {7,12}, {6,31}, {2,34}, {1,17}, {5,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {9,32}, {9,26}, {9,27}, {5,29}, {9,19}, {8,14}, {5,25}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {10,29}, {10,31}, {9,34}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {9,25}, {7,16}, {7,26}, {1,12}, {2,32}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {8,35}, {5,14}, {9,20}, {4,15}, {1,28}, {3,11}, {3,27}, {4,28}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {5,28}, {8,26}, {9,22}, {7,31}, {2,17}, {9,13}, {8,21}, {3,19}, {5,31}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {7,28}, {3,16}, {10,35}, {7,23}, {5,33}, {9,18}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {10,34}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {6,34}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {3,28}, {8,20}, {7,24}, {3,31}, {1,14}, {9,24}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {9,31}, {7,19}, {4,17}, {9,16}, {7,21}, {8,29}, {4,32}, {10,16} }; // ETB35.35 (= ET35.46) // Bipartite(10,25) Valencies [20,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 95551488000000 EdgesBipt[35][35]:={ {1,11}, {3,33}, {2,24}, {5,17}, {10,25}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {4,26}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {3,35}, {5,20}, {7,34}, {1,21}, {8,25}, {2,28}, {2,14}, {5,32}, {6,11}, {8,15}, {9,35}, {8,31}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,31}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {7,13}, {9,14}, {7,25}, {10,28}, {2,35}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {10,31}, {9,34}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {4,35}, {9,25}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {8,13}, {8,35}, {9,20}, {4,15}, {1,28}, {3,11}, {7,14}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {2,17}, {5,12}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {6,19}, {9,12}, {7,29}, {6,28}, {6,14}, {9,30}, {10,11}, {7,28}, {3,16}, {10,35}, {7,23}, {3,30}, {5,33}, {8,34}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {9,17}, {10,18}, {8,24}, {6,34}, {5,27}, {5,26}, {8,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,24}, {3,31}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {7,33}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {9,16}, {9,21}, {8,29}, {4,32}, {7,18}, {10,16}, {5,16} }; // ETB35.36 (= ET35.47) // Bipartite(15,20) Valencies [20,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3181443595948318544363520000000 EdgesBipt[35][36]:={ {13,21}, {15,33}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {9,35}, {6,18}, {1,29}, {15,19}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {1,26}, {14,32}, {3,17}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {14,33}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,22}, {6,23}, {15,17}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {5,26}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {14,17}, {9,34}, {10,32}, {12,35}, {6,35}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30} }; // ETB35.37 (= ET35.48) // Bipartite(14,21) Valencies [21,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4454021034327645962108928000000 EdgesBipt[35][37]:={ {13,21}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {13,20}, {9,35}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {1,26}, {14,32}, {3,17}, {7,15}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {14,15}, {14,33}, {14,23}, {6,16}, {11,33}, {13,25}, {8,24}, {9,26}, {14,21}, {3,29}, {12,17}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,15}, {6,23}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {5,26}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {3,15}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {13,15}, {1,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {14,22}, {14,17}, {9,34}, {10,32}, {12,35}, {6,35}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {5,30} }; // ETB35.38 (= ET35.49) // Bipartite(13,22) Valencies [22,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6999175911086300797599744000000 EdgesBipt[35][38]:={ {13,21}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {13,27}, {6,14}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {13,20}, {9,35}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {1,26}, {3,17}, {7,15}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {6,16}, {11,33}, {13,25}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {13,14}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {13,34}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {13,15}, {1,15}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {9,14}, {9,34}, {10,14}, {10,32}, {12,35}, {6,35}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {2,14}, {11,26}, {5,33}, {5,30} }; // ETB35.39 (= ET35.50) // Bipartite(12,23) Valencies [23,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12383157381152686026522624000000 EdgesBipt[35][39]:={ {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {6,14}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {12,20}, {1,13}, {12,26}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {2,15}, {12,23}, {12,13}, {9,35}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {7,15}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {6,27}, {2,30}, {5,35}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {6,16}, {11,33}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {11,13}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {7,13}, {9,14}, {9,34}, {10,14}, {10,32}, {12,35}, {6,35}, {12,19}, {8,25}, {2,32}, {12,21}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30} }; // ETB35.40 (= ET35.51) // Bipartite(5,30) Valencies [24,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23219011584000000 EdgesBipt[35][40]:={ {4,35}, {5,32}, {3,15}, {4,14}, {1,11}, {3,29}, {2,22}, {5,30}, {1,31}, {4,27}, {5,35}, {2,20}, {4,16}, {1,9}, {2,33}, {3,30}, {1,32}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {5,6}, {3,18}, {1,34}, {2,14}, {3,11}, {5,23}, {5,33}, {2,10}, {4,20}, {2,23}, {4,7}, {1,17}, {3,13}, {1,22}, {2,32}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {4,29}, {3,9}, {5,15}, {3,23}, {4,31}, {4,30}, {2,34}, {1,19}, {4,21}, {4,17}, {2,35}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {3,35}, {1,23}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {5,31}, {3,21}, {1,14}, {4,32}, {2,8}, {1,27}, {5,11}, {3,16}, {1,13}, {5,10}, {3,25}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {5,12}, {1,28}, {4,9}, {2,7}, {5,18}, {4,34}, {3,33}, {1,8}, {5,16}, {2,30}, {1,21}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB35.41 (= ET35.52) // Bipartite(7,28) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23115815976960 EdgesBipt[35][41]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,27}, {7,15}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {4,19}, {7,22}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {2,26}, {7,34}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {6,22}, {3,18}, {6,29}, {3,17}, {6,21}, {3,34}, {2,25}, {6,31}, {2,34}, {1,17}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {7,30}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {7,28}, {7,23}, {2,21}, {5,33}, {3,24}, {1,26}, {4,34}, {1,16}, {4,14}, {5,8}, {7,9}, {2,31}, {6,34}, {6,10}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {5,15}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {6,35}, {7,21}, {4,32}, {7,18}, {5,16} }; // ETB35.42 (= ET35.53) // Bipartite(11,24) Valencies [24,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24766314762305372053045248000000 EdgesBipt[35][42]:={ {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {6,14}, {2,33}, {6,32}, {11,29}, {11,35}, {11,17}, {1,12}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {1,13}, {7,27}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {9,35}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {7,15}, {8,22}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {5,12}, {6,27}, {2,30}, {5,35}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {3,24}, {6,16}, {11,33}, {7,12}, {8,24}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {11,13}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,12}, {9,14}, {7,13}, {9,34}, {10,14}, {10,32}, {6,35}, {8,25}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30} }; // ETB35.43 (= ET35.55) // Bipartite(10,25) Valencies [25,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56287079005239481938739200000000 EdgesBipt[35][43]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {4,23}, {8,27}, {8,31}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,11}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {9,34}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {8,35}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {10,32}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {10,11}, {1,35}, {7,28}, {3,16}, {10,35}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {3,24}, {2,29}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {10,34}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {6,34}, {5,27}, {5,26}, {8,18}, {4,18}, {4,25}, {10,19}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {7,33}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {6,35}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {10,16}, {5,16} }; // ETB35.44 (= ET35.56) // Bipartite(9,26) Valencies [26,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 146346405413622653040721920000000 EdgesBipt[35][44]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,11}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {9,34}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {8,35}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {1,35}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {2,31}, {9,33}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {6,35}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB35.45 (= ET35.57) // Bipartite(8,27) Valencies [27,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 439039216240867959122165760000000 EdgesBipt[35][45]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,11}, {2,10}, {5,29}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB35.46 (= ET35.58) // Bipartite(7,28) Valencies [28,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1536637256843037856927580160000000 EdgesBipt[35][46]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {7,21}, {4,32}, {7,18}, {5,16} }; // ETB35.47 (= ET35.60) // Bipartite(6,29) Valencies [29,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6366068635492585407271403520000000 EdgesBipt[35][47]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {6,21}, {3,34}, {2,25}, {6,31}, {4,10}, {2,34}, {1,17}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {3,16}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {6,35}, {4,32}, {5,16} }; // ETB35.48 (= ET35.61) // Bipartite(5,30) Valencies [30,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31830343177462927036357017600000000 EdgesBipt[35][48]:={ {1,15}, {4,35}, {5,32}, {5,14}, {3,15}, {1,11}, {4,14}, {3,29}, {2,22}, {5,30}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {5,35}, {2,20}, {5,34}, {1,25}, {4,16}, {5,24}, {3,32}, {1,9}, {2,33}, {3,30}, {1,32}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {5,6}, {3,18}, {1,34}, {2,14}, {3,11}, {5,23}, {5,33}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {5,19}, {5,15}, {3,23}, {5,29}, {4,31}, {3,27}, {2,34}, {4,30}, {1,19}, {4,21}, {2,35}, {4,17}, {5,28}, {2,9}, {4,15}, {4,25}, {1,35}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {3,35}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {3,24}, {5,17}, {5,31}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {4,18}, {5,10}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {5,12}, {1,28}, {3,17}, {4,9}, {2,7}, {5,18}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {5,16}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB35.49 (= ET35.63) // Bipartite(4,31) Valencies [31,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 197348127700270147625413509120000000 EdgesBipt[35][49]:={ {1,15}, {4,35}, {3,15}, {1,11}, {4,14}, {2,22}, {3,29}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {3,32}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {3,27}, {2,34}, {4,30}, {1,19}, {4,21}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {2,24}, {4,11}, {2,27}, {3,35}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,17}, {4,9}, {2,7}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB35.50 (= ET35.64) // Bipartite(3,32) Valencies [32,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1578785021602161181003308072960000000 EdgesBipt[35][50]:={ {1,15}, {3,15}, {1,11}, {2,22}, {3,29}, {1,31}, {3,7}, {2,11}, {2,20}, {1,25}, {3,32}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {3,27}, {2,34}, {1,19}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {3,35}, {1,23}, {2,21}, {1,7}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,17}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB35.51 (= ET35.65) // Bipartite(2,33) Valencies [33,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17366635237623772991036388802560000000 EdgesBipt[35][51]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,33}, {1,10}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB35.52 (= ET35.66) // Bipartite(1,34) Valencies [34,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 295232799039604140847618609643520000000 EdgesBipt[35][52]:={ {1,4}, {1,20}, {1,3}, {1,34}, {1,30}, {1,14}, {1,23}, {1,33}, {1,24}, {1,7}, {1,27}, {1,29}, {1,35}, {1,5}, {1,15}, {1,22}, {1,28}, {1,16}, {1,10}, {1,12}, {1,13}, {1,17}, {1,2}, {1,11}, {1,19}, {1,18}, {1,25}, {1,32}, {1,21}, {1,9}, {1,26}, {1,31}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 35 is 52 // ******************************************************************************************** // Order 36 // ETB36.1 (= ET36.1) // Bipartite(18,18) Valencies [2,2] // Diameter 18 Girth 36 // Twin-free VT AT // Automorphism group of order 72 EdgesBipt[36][1]:={ {4,34}, {18,22}, {4,30}, {9,19}, {14,36}, {8,29}, {6,35}, {2,24}, {7,20}, {9,23}, {18,27}, {13,35}, {10,28}, {11,26}, {5,33}, {12,30}, {2,28}, {12,24}, {15,33}, {3,32}, {8,27}, {7,25}, {10,22}, {11,21}, {17,23}, {17,20}, {6,31}, {16,31}, {1,19}, {3,26}, {14,32}, {1,21}, {5,36}, {15,29}, {16,25}, {13,34} }; // ETB36.2 (= ET36.2) // Bipartite(12,24) Valencies [4,2] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 48 EdgesBipt[36][2]:={ {3,32}, {11,30}, {1,26}, {2,14}, {4,13}, {5,36}, {9,19}, {4,36}, {6,33}, {1,29}, {7,34}, {7,23}, {9,31}, {9,16}, {6,14}, {11,24}, {10,32}, {3,33}, {8,25}, {2,21}, {8,27}, {5,21}, {10,16}, {5,25}, {2,31}, {3,15}, {7,18}, {6,20}, {11,35}, {5,19}, {4,27}, {7,15}, {4,17}, {3,26}, {12,29}, {9,35}, {10,24}, {2,28}, {11,34}, {6,22}, {12,22}, {1,13}, {8,18}, {12,28}, {1,23}, {8,30}, {10,20}, {12,17} }; // ETB36.3 (= ET36.3) // Bipartite(12,24) Valencies [4,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[36][3]:={ {5,28}, {3,29}, {3,20}, {8,35}, {1,14}, {5,18}, {7,27}, {9,22}, {8,23}, {2,36}, {7,33}, {4,16}, {6,18}, {11,31}, {1,16}, {7,36}, {10,25}, {2,31}, {2,28}, {10,30}, {10,33}, {5,15}, {11,34}, {3,32}, {4,27}, {1,13}, {5,23}, {11,21}, {6,24}, {7,35}, {10,19}, {12,20}, {11,24}, {12,21}, {4,22}, {1,19}, {8,13}, {9,26}, {6,32}, {9,25}, {6,26}, {12,15}, {4,29}, {3,30}, {8,34}, {9,17}, {12,17}, {2,14} }; // ETB36.4 (= ET36.4) // Bipartite(12,24) Valencies [4,2] // Diameter 12 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 98304 EdgesBipt[36][4]:={ {6,20}, {8,20}, {5,34}, {4,34}, {3,16}, {6,33}, {11,36}, {3,29}, {6,21}, {7,30}, {12,16}, {1,14}, {5,21}, {9,27}, {2,17}, {4,23}, {12,27}, {10,13}, {9,15}, {5,22}, {5,33}, {10,25}, {7,31}, {3,17}, {8,32}, {1,13}, {12,28}, {2,30}, {2,18}, {7,18}, {11,24}, {4,22}, {10,24}, {3,28}, {1,25}, {8,19}, {9,26}, {11,23}, {9,14}, {4,35}, {6,32}, {11,35}, {2,29}, {12,15}, {8,31}, {1,26}, {10,36}, {7,19} }; // ETB36.5 (= ET36.5) // Bipartite(18,18) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 288 EdgesBipt[36][5]:={ {3,32}, {15,32}, {12,27}, {5,36}, {13,19}, {8,20}, {2,26}, {8,31}, {6,33}, {13,31}, {1,29}, {1,30}, {11,25}, {16,34}, {4,34}, {7,34}, {14,26}, {9,21}, {8,23}, {15,20}, {11,28}, {18,33}, {12,32}, {12,30}, {6,30}, {2,36}, {11,23}, {3,24}, {10,33}, {6,32}, {3,20}, {7,30}, {5,23}, {5,21}, {18,28}, {7,27}, {9,29}, {5,25}, {9,24}, {2,20}, {10,26}, {14,36}, {14,22}, {17,36}, {17,27}, {18,19}, {17,21}, {12,24}, {16,21}, {18,31}, {7,22}, {16,25}, {13,35}, {9,35}, {8,35}, {4,28}, {4,22}, {4,25}, {6,19}, {14,27}, {15,33}, {2,23}, {13,29}, {10,28}, {1,19}, {10,22}, {15,26}, {1,34}, {11,31}, {16,29}, {17,24}, {3,35} }; // ETB36.6 (= ET36.6) // Bipartite(18,18) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 144 EdgesBipt[36][6]:={ {18,32}, {14,19}, {5,24}, {15,36}, {13,31}, {11,25}, {5,29}, {1,32}, {13,34}, {2,24}, {7,23}, {9,21}, {12,33}, {6,26}, {16,23}, {18,33}, {13,26}, {17,25}, {6,36}, {6,32}, {16,33}, {17,35}, {3,20}, {8,32}, {8,27}, {4,33}, {2,31}, {10,23}, {2,20}, {14,22}, {5,28}, {3,25}, {4,27}, {15,30}, {9,36}, {9,27}, {4,21}, {18,19}, {6,21}, {12,19}, {15,25}, {10,29}, {12,29}, {11,36}, {16,22}, {1,27}, {7,20}, {18,21}, {4,22}, {17,31}, {3,34}, {8,26}, {14,23}, {15,34}, {7,28}, {5,35}, {2,34}, {9,30}, {1,19}, {11,26}, {12,28}, {1,22}, {13,30}, {14,28}, {8,30}, {10,20}, {11,31}, {16,29}, {10,35}, {7,24}, {17,24}, {3,35} }; // ETB36.7 (= ET36.7) // Bipartite(18,18) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 144 EdgesBipt[36][7]:={ {5,33}, {9,23}, {6,34}, {10,27}, {14,31}, {17,34}, {2,26}, {4,36}, {8,31}, {15,36}, {2,30}, {11,25}, {12,33}, {8,23}, {6,31}, {11,20}, {16,31}, {11,27}, {15,29}, {15,27}, {1,20}, {17,22}, {2,36}, {3,24}, {3,29}, {8,32}, {13,32}, {18,28}, {7,27}, {5,25}, {9,24}, {13,33}, {8,36}, {1,21}, {3,25}, {11,32}, {9,33}, {4,20}, {18,30}, {12,19}, {16,21}, {5,30}, {7,22}, {16,25}, {9,34}, {12,26}, {4,28}, {13,21}, {7,19}, {4,22}, {6,19}, {15,34}, {18,23}, {6,35}, {17,32}, {18,29}, {13,29}, {14,20}, {2,35}, {14,24}, {10,28}, {1,19}, {10,21}, {12,28}, {1,23}, {17,26}, {5,22}, {7,24}, {10,35}, {14,30}, {16,26}, {3,35} }; // ETB36.8 (= ET36.8) // Bipartite(18,18) Valencies [4,4] // Diameter 9 Girth 4 // Has twins VT AT // Automorphism group of order 9437184 EdgesBipt[36][8]:={ {8,19}, {8,28}, {4,23}, {18,22}, {4,36}, {15,36}, {17,28}, {2,32}, {6,33}, {1,30}, {2,29}, {9,20}, {14,26}, {9,31}, {7,31}, {3,21}, {11,20}, {16,31}, {11,29}, {15,24}, {10,30}, {12,30}, {15,27}, {14,34}, {8,24}, {11,23}, {6,36}, {4,32}, {13,32}, {9,29}, {5,25}, {2,20}, {8,33}, {17,19}, {13,36}, {4,27}, {3,25}, {1,21}, {11,32}, {14,35}, {3,30}, {12,34}, {6,27}, {18,31}, {7,22}, {16,35}, {7,35}, {16,22}, {13,23}, {12,25}, {9,22}, {10,19}, {3,34}, {1,28}, {15,33}, {5,26}, {2,23}, {18,29}, {5,34}, {5,35}, {17,33}, {10,28}, {1,19}, {10,21}, {13,27}, {18,20}, {14,25}, {17,24}, {6,24}, {12,21}, {16,26}, {7,26} }; // ETB36.9 (= ET36.9) // Bipartite(18,18) Valencies [4,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36864 EdgesBipt[36][9]:={ {15,35}, {18,32}, {12,27}, {8,19}, {8,28}, {6,34}, {17,28}, {5,29}, {18,26}, {14,26}, {12,33}, {15,20}, {11,20}, {3,27}, {3,33}, {11,27}, {14,34}, {1,31}, {12,31}, {9,32}, {11,21}, {4,30}, {7,36}, {2,21}, {5,23}, {4,32}, {13,32}, {16,36}, {18,28}, {9,24}, {10,31}, {10,23}, {2,20}, {8,33}, {12,36}, {6,20}, {17,19}, {11,22}, {3,31}, {16,21}, {15,25}, {7,21}, {13,35}, {13,22}, {2,27}, {4,22}, {10,19}, {14,23}, {15,34}, {6,25}, {6,35}, {17,30}, {5,26}, {5,34}, {17,33}, {1,19}, {18,24}, {9,26}, {14,29}, {4,35}, {10,25}, {9,28}, {1,23}, {13,30}, {8,30}, {16,24}, {1,25}, {16,29}, {2,22}, {7,24}, {3,36}, {7,29} }; // ETB36.10 (= ET36.12) // Bipartite(16,20) Valencies [5,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 160 EdgesBipt[36][10]:={ {3,22}, {11,30}, {1,26}, {5,33}, {12,27}, {4,24}, {13,28}, {10,27}, {14,19}, {2,26}, {12,18}, {2,30}, {13,31}, {1,30}, {11,17}, {4,34}, {2,24}, {9,31}, {3,33}, {8,25}, {1,20}, {15,23}, {3,29}, {6,32}, {3,20}, {7,36}, {16,32}, {5,23}, {5,21}, {13,32}, {5,20}, {7,27}, {9,29}, {4,18}, {15,31}, {8,33}, {10,26}, {7,18}, {13,36}, {9,36}, {11,32}, {11,22}, {5,17}, {12,23}, {6,21}, {15,17}, {10,29}, {9,34}, {8,35}, {8,22}, {16,22}, {1,27}, {7,20}, {4,28}, {13,21}, {16,19}, {1,17}, {12,25}, {14,33}, {14,21}, {10,19}, {15,34}, {7,28}, {12,35}, {6,35}, {2,35}, {2,34}, {9,26}, {10,25}, {14,28}, {8,30}, {4,19}, {16,24}, {11,31}, {14,25}, {15,18}, {16,29}, {6,23}, {6,24}, {3,36} }; // ETB36.11 (= ET36.13) // Bipartite(16,20) Valencies [5,4] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 5760 EdgesBipt[36][11]:={ {8,19}, {5,36}, {9,23}, {8,20}, {12,18}, {1,29}, {2,30}, {14,18}, {9,25}, {4,34}, {13,34}, {2,24}, {11,28}, {16,23}, {3,21}, {3,27}, {10,32}, {3,33}, {11,29}, {10,30}, {13,26}, {6,30}, {1,20}, {10,36}, {15,23}, {4,31}, {1,31}, {7,33}, {11,33}, {9,32}, {13,18}, {2,21}, {8,32}, {8,27}, {15,31}, {9,24}, {10,31}, {10,26}, {12,36}, {5,28}, {3,25}, {1,21}, {11,32}, {5,17}, {6,27}, {12,19}, {12,24}, {16,21}, {12,29}, {7,35}, {8,22}, {7,20}, {16,19}, {1,17}, {4,25}, {11,34}, {16,28}, {6,35}, {15,33}, {14,20}, {5,35}, {2,34}, {13,27}, {4,35}, {14,28}, {4,19}, {14,25}, {6,29}, {5,22}, {15,18}, {6,23}, {2,22}, {13,17}, {7,24}, {9,17}, {3,36}, {14,30}, {15,22}, {16,26}, {7,26} }; // ETB36.12 (= ET36.15) // Bipartite(9,27) Valencies [6,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[36][12]:={ {5,33}, {4,24}, {6,34}, {9,23}, {4,36}, {2,32}, {4,34}, {1,32}, {2,24}, {1,10}, {6,14}, {4,11}, {3,21}, {8,15}, {7,13}, {8,25}, {5,11}, {9,15}, {7,33}, {2,12}, {3,29}, {7,30}, {8,10}, {2,31}, {3,16}, {1,16}, {6,20}, {8,36}, {4,27}, {9,12}, {4,21}, {9,27}, {3,18}, {3,31}, {3,26}, {7,20}, {9,22}, {6,19}, {2,19}, {1,28}, {5,14}, {6,25}, {5,26}, {5,35}, {8,18}, {7,17}, {2,13}, {6,28}, {1,35}, {1,23}, {8,30}, {5,22}, {9,17}, {7,29} }; // ETB36.13 (= ET36.16) // Bipartite(9,27) Valencies [6,2] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 181398528 EdgesBipt[36][13]:={ {2,11}, {1,26}, {3,12}, {4,36}, {6,33}, {2,29}, {5,29}, {4,34}, {7,23}, {9,31}, {7,12}, {8,23}, {8,16}, {1,10}, {6,26}, {3,21}, {8,25}, {5,11}, {9,15}, {2,36}, {4,16}, {6,15}, {7,30}, {8,32}, {5,20}, {4,18}, {7,32}, {5,31}, {9,24}, {2,20}, {3,28}, {4,27}, {2,18}, {9,33}, {3,19}, {3,30}, {7,21}, {8,34}, {9,13}, {2,27}, {1,17}, {4,25}, {9,22}, {1,28}, {6,35}, {6,17}, {8,14}, {5,13}, {1,19}, {1,35}, {7,14}, {5,22}, {6,24}, {3,10} }; // ETB36.14 (= ET36.17) // Bipartite(12,24) Valencies [6,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[36][14]:={ {3,32}, {11,30}, {1,26}, {4,24}, {1,14}, {10,27}, {2,26}, {9,25}, {5,29}, {4,34}, {1,32}, {8,23}, {11,24}, {12,16}, {8,15}, {9,15}, {6,30}, {3,23}, {7,33}, {12,31}, {6,36}, {3,29}, {2,33}, {3,20}, {4,30}, {7,36}, {5,16}, {8,27}, {8,32}, {5,21}, {5,20}, {10,16}, {9,24}, {10,31}, {10,23}, {8,36}, {11,35}, {5,28}, {2,18}, {9,27}, {9,33}, {4,20}, {11,22}, {7,15}, {5,17}, {8,13}, {12,14}, {3,18}, {12,19}, {4,17}, {1,18}, {10,29}, {7,21}, {12,26}, {7,19}, {4,25}, {9,22}, {3,34}, {2,19}, {7,28}, {6,35}, {6,17}, {1,13}, {2,34}, {10,22}, {6,28}, {2,25}, {1,35}, {11,14}, {11,31}, {6,13}, {12,21} }; // ETB36.15 (= ET36.18) // Bipartite(12,24) Valencies [6,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 80621568 EdgesBipt[36][15]:={ {11,30}, {4,24}, {6,34}, {9,23}, {8,31}, {2,32}, {1,29}, {2,24}, {9,31}, {1,33}, {8,23}, {6,26}, {12,16}, {8,15}, {3,27}, {7,13}, {8,25}, {11,27}, {12,32}, {9,15}, {10,36}, {2,36}, {3,23}, {4,16}, {6,36}, {10,33}, {4,30}, {4,32}, {7,27}, {2,16}, {2,20}, {3,15}, {8,33}, {6,20}, {11,35}, {1,21}, {11,22}, {3,19}, {3,31}, {12,13}, {12,24}, {5,30}, {12,29}, {9,34}, {7,21}, {7,35}, {1,17}, {7,19}, {6,18}, {4,22}, {2,28}, {9,18}, {10,17}, {5,14}, {5,18}, {5,26}, {5,34}, {1,13}, {10,28}, {9,26}, {6,28}, {4,14}, {10,25}, {11,19}, {10,20}, {11,14}, {5,22}, {1,25}, {8,17}, {12,21}, {3,35}, {7,29} }; // ETB36.16 (= ET36.19) // Bipartite(12,24) Valencies [6,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 294912 EdgesBipt[36][16]:={ {3,32}, {11,30}, {4,24}, {7,16}, {4,36}, {12,18}, {1,30}, {9,20}, {11,17}, {4,34}, {1,32}, {2,24}, {5,27}, {8,23}, {6,14}, {6,26}, {12,16}, {8,21}, {3,21}, {6,31}, {3,33}, {11,29}, {12,30}, {9,15}, {1,20}, {5,15}, {2,36}, {6,36}, {10,33}, {3,20}, {9,32}, {7,27}, {5,25}, {10,16}, {8,33}, {10,26}, {9,27}, {3,19}, {7,15}, {10,14}, {12,23}, {3,31}, {4,17}, {1,18}, {9,34}, {8,34}, {8,22}, {8,35}, {4,22}, {6,19}, {9,22}, {5,14}, {7,28}, {12,35}, {5,26}, {2,23}, {1,13}, {2,35}, {5,13}, {7,17}, {10,28}, {10,21}, {12,28}, {2,13}, {2,25}, {11,19}, {11,18}, {11,31}, {1,25}, {6,24}, {4,29}, {7,29} }; // ETB36.17 (= ET36.20) // Bipartite(18,18) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 432 EdgesBipt[36][17]:={ {4,35}, {16,34}, {14,21}, {13,29}, {14,25}, {10,22}, {14,34}, {12,19}, {3,29}, {5,30}, {6,36}, {4,27}, {10,27}, {8,36}, {5,35}, {2,20}, {5,24}, {3,32}, {6,32}, {2,33}, {9,19}, {3,30}, {18,23}, {7,23}, {18,21}, {3,34}, {9,31}, {6,22}, {13,20}, {5,21}, {10,23}, {14,27}, {1,29}, {1,34}, {17,30}, {10,34}, {15,22}, {13,33}, {17,24}, {8,33}, {7,26}, {8,28}, {1,36}, {1,22}, {4,33}, {15,36}, {4,28}, {16,35}, {16,19}, {14,28}, {5,29}, {4,31}, {1,19}, {7,30}, {15,33}, {2,35}, {12,29}, {13,30}, {12,35}, {9,25}, {18,19}, {8,19}, {11,26}, {13,22}, {7,35}, {15,26}, {12,23}, {2,24}, {9,33}, {11,36}, {2,27}, {15,31}, {18,28}, {11,31}, {5,31}, {9,24}, {11,25}, {8,20}, {11,21}, {6,20}, {11,27}, {16,28}, {8,25}, {3,25}, {9,29}, {13,23}, {2,26}, {10,32}, {7,21}, {12,32}, {3,36}, {18,31}, {17,26}, {17,32}, {18,22}, {10,26}, {17,20}, {6,27}, {7,34}, {15,30}, {16,32}, {4,23}, {1,21}, {12,20}, {14,24}, {17,25}, {6,28}, {16,24} }; // ETB36.18 (= ET36.21) // Bipartite(18,18) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 10368 EdgesBipt[36][18]:={ {7,19}, {16,25}, {16,34}, {5,32}, {15,23}, {13,29}, {8,24}, {11,23}, {9,30}, {12,19}, {11,33}, {16,30}, {10,27}, {6,23}, {14,19}, {5,34}, {7,33}, {12,31}, {12,22}, {13,34}, {17,35}, {7,27}, {1,32}, {2,28}, {3,34}, {9,31}, {4,26}, {13,20}, {1,29}, {18,24}, {14,33}, {17,31}, {16,21}, {17,23}, {10,34}, {2,31}, {2,23}, {7,26}, {10,25}, {15,25}, {14,30}, {6,33}, {8,21}, {9,34}, {15,36}, {16,26}, {3,22}, {14,28}, {13,35}, {3,27}, {4,30}, {1,19}, {4,21}, {17,33}, {10,29}, {18,19}, {11,26}, {13,22}, {6,29}, {18,27}, {17,36}, {12,24}, {15,26}, {14,32}, {2,24}, {3,35}, {9,35}, {10,28}, {18,28}, {14,31}, {5,20}, {9,28}, {4,22}, {5,36}, {3,26}, {5,31}, {12,36}, {8,20}, {8,23}, {11,21}, {18,29}, {11,30}, {13,21}, {1,20}, {15,27}, {8,25}, {7,32}, {10,32}, {1,33}, {2,25}, {3,36}, {6,35}, {18,22}, {17,20}, {6,27}, {16,32}, {7,36}, {11,35}, {2,30}, {1,21}, {12,20}, {15,24}, {5,25}, {4,19}, {4,24}, {8,29}, {9,22}, {6,28} }; // ETB36.19 (= ET36.22) // Bipartite(18,18) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[36][19]:={ {10,19}, {16,25}, {5,32}, {10,21}, {14,25}, {8,24}, {2,22}, {1,31}, {4,27}, {8,36}, {5,35}, {11,29}, {6,23}, {2,20}, {5,34}, {12,31}, {3,32}, {17,35}, {12,33}, {9,19}, {3,30}, {11,22}, {16,20}, {12,27}, {18,23}, {7,23}, {18,21}, {2,28}, {3,34}, {9,31}, {15,32}, {13,20}, {10,23}, {15,28}, {2,29}, {8,22}, {7,28}, {14,33}, {17,30}, {15,34}, {7,26}, {13,26}, {14,30}, {6,33}, {12,34}, {9,34}, {7,29}, {4,28}, {4,29}, {16,19}, {15,35}, {6,26}, {1,19}, {7,30}, {4,21}, {2,35}, {17,33}, {4,25}, {11,26}, {13,22}, {18,27}, {12,24}, {6,31}, {9,33}, {5,22}, {11,36}, {6,19}, {18,32}, {15,21}, {1,23}, {6,30}, {10,28}, {9,35}, {8,27}, {14,31}, {8,32}, {5,20}, {5,36}, {3,26}, {11,25}, {16,22}, {11,30}, {17,34}, {1,27}, {15,27}, {8,25}, {17,29}, {13,23}, {13,36}, {7,21}, {14,29}, {12,32}, {2,25}, {3,36}, {10,20}, {18,36}, {17,28}, {10,35}, {13,19}, {3,33}, {16,31}, {1,21}, {14,24}, {4,24}, {9,20}, {18,26}, {1,24}, {16,24} }; // ETB36.20 (= ET36.23) // Bipartite(18,18) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 4320 EdgesBipt[36][20]:={ {16,34}, {14,21}, {13,29}, {12,26}, {17,27}, {5,30}, {16,30}, {7,24}, {13,24}, {17,19}, {12,22}, {5,24}, {13,34}, {2,33}, {6,32}, {7,31}, {6,25}, {13,27}, {9,21}, {14,35}, {14,20}, {4,26}, {6,22}, {5,21}, {10,30}, {3,19}, {1,29}, {11,34}, {1,34}, {16,21}, {17,23}, {5,23}, {4,20}, {15,22}, {9,27}, {10,36}, {2,23}, {13,33}, {2,31}, {17,24}, {8,33}, {8,28}, {1,36}, {18,33}, {10,25}, {15,25}, {1,22}, {2,32}, {4,33}, {16,26}, {10,24}, {7,20}, {18,25}, {8,35}, {5,29}, {10,33}, {15,19}, {12,28}, {4,36}, {12,29}, {9,25}, {1,35}, {8,19}, {17,36}, {15,26}, {18,35}, {12,23}, {14,32}, {2,27}, {17,22}, {14,36}, {15,31}, {11,19}, {14,23}, {3,28}, {11,31}, {3,24}, {5,31}, {13,28}, {8,23}, {11,21}, {9,26}, {18,20}, {3,21}, {18,29}, {11,27}, {7,22}, {16,28}, {9,29}, {3,25}, {7,32}, {2,26}, {10,32}, {3,20}, {18,31}, {6,35}, {8,30}, {9,36}, {4,34}, {6,27}, {7,34}, {15,30}, {16,32}, {1,30}, {11,35}, {12,20}, {4,19}, {6,28} }; // ETB36.21 (= ET36.24) // Bipartite(18,18) Valencies [6,6] // Diameter 6 Girth 4 // Has twins VT AT // Automorphism group of order 52242776064 EdgesBipt[36][21]:={ {7,19}, {13,25}, {16,34}, {10,21}, {14,25}, {8,31}, {10,22}, {11,23}, {6,36}, {1,31}, {4,27}, {10,27}, {5,35}, {7,24}, {11,29}, {6,23}, {2,20}, {14,19}, {13,24}, {5,34}, {1,25}, {3,32}, {17,35}, {7,31}, {9,21}, {11,22}, {18,23}, {14,20}, {16,33}, {2,19}, {15,32}, {18,24}, {12,30}, {11,34}, {16,21}, {17,23}, {5,23}, {10,34}, {9,27}, {2,31}, {1,36}, {2,32}, {4,33}, {4,28}, {7,25}, {15,20}, {8,26}, {5,29}, {11,28}, {3,27}, {14,26}, {10,33}, {1,19}, {7,30}, {4,21}, {15,33}, {5,28}, {13,30}, {12,35}, {12,29}, {8,19}, {6,29}, {12,24}, {15,26}, {18,35}, {12,23}, {14,32}, {9,33}, {5,22}, {17,22}, {15,21}, {16,27}, {6,30}, {10,28}, {14,31}, {8,32}, {4,22}, {3,26}, {12,36}, {8,20}, {16,22}, {9,26}, {3,21}, {18,29}, {17,34}, {15,27}, {18,30}, {16,28}, {8,25}, {17,29}, {2,26}, {13,36}, {3,20}, {2,25}, {18,36}, {9,32}, {6,24}, {6,35}, {17,28}, {13,31}, {4,34}, {13,19}, {3,33}, {7,36}, {1,30}, {11,35}, {9,20}, {1,24} }; // ETB36.22 (= ET36.25) // Bipartite(18,18) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1719926784 EdgesBipt[36][22]:={ {10,19}, {7,19}, {14,21}, {5,32}, {13,29}, {10,22}, {11,23}, {17,27}, {8,36}, {5,34}, {12,33}, {6,25}, {16,23}, {14,35}, {9,31}, {12,25}, {3,31}, {6,34}, {13,20}, {10,23}, {14,27}, {1,29}, {18,24}, {7,28}, {11,34}, {17,23}, {5,23}, {15,22}, {18,33}, {14,30}, {6,33}, {12,34}, {2,36}, {8,21}, {4,28}, {7,29}, {10,31}, {16,19}, {3,22}, {7,20}, {18,25}, {8,35}, {15,35}, {8,26}, {4,31}, {18,34}, {14,26}, {1,19}, {7,30}, {15,33}, {2,35}, {12,29}, {13,30}, {6,29}, {17,36}, {12,24}, {15,26}, {9,33}, {11,36}, {2,27}, {14,36}, {15,31}, {3,35}, {2,21}, {5,27}, {8,27}, {10,28}, {9,35}, {4,22}, {5,36}, {3,26}, {3,24}, {9,24}, {11,25}, {13,28}, {16,22}, {6,20}, {9,26}, {18,20}, {18,29}, {11,27}, {4,32}, {13,21}, {17,34}, {1,20}, {11,32}, {16,28}, {2,26}, {10,32}, {7,21}, {1,28}, {6,24}, {17,32}, {8,30}, {13,19}, {16,32}, {3,33}, {4,23}, {1,30}, {16,31}, {2,30}, {1,21}, {12,20}, {15,24}, {5,25}, {4,19}, {17,25}, {9,22} }; // ETB36.23 (= ET36.26) // Bipartite(18,18) Valencies [6,6] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 56623104 EdgesBipt[36][23]:={ {10,19}, {4,35}, {7,19}, {14,21}, {10,21}, {16,36}, {8,24}, {11,23}, {5,30}, {11,29}, {2,20}, {13,24}, {1,25}, {12,31}, {12,22}, {3,32}, {16,23}, {7,27}, {7,23}, {8,34}, {3,34}, {9,31}, {14,20}, {12,25}, {3,31}, {4,26}, {6,22}, {5,21}, {2,29}, {14,27}, {10,30}, {18,24}, {7,28}, {1,34}, {10,34}, {15,22}, {9,27}, {13,33}, {2,23}, {17,24}, {8,33}, {18,33}, {13,26}, {10,25}, {14,30}, {2,32}, {12,34}, {6,21}, {4,33}, {4,28}, {16,19}, {3,22}, {15,35}, {13,35}, {3,23}, {5,29}, {6,26}, {1,19}, {2,35}, {17,33}, {11,26}, {18,27}, {15,26}, {12,23}, {6,31}, {9,33}, {14,36}, {15,21}, {15,31}, {16,27}, {5,27}, {6,30}, {10,28}, {5,20}, {5,36}, {9,24}, {13,28}, {8,20}, {17,34}, {11,32}, {16,28}, {8,25}, {3,25}, {7,32}, {17,29}, {2,26}, {11,20}, {14,29}, {12,32}, {1,28}, {18,31}, {18,36}, {6,35}, {18,22}, {9,36}, {17,20}, {13,19}, {15,30}, {16,32}, {7,36}, {1,30}, {11,35}, {1,21}, {4,19}, {4,24}, {17,25}, {8,29}, {9,22} }; // ETB36.24 (= ET36.27) // Bipartite(18,18) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 55296 EdgesBipt[36][24]:={ {10,19}, {4,35}, {16,36}, {8,24}, {10,22}, {11,23}, {11,33}, {10,27}, {2,20}, {2,33}, {6,32}, {17,35}, {7,31}, {6,25}, {7,27}, {9,21}, {16,20}, {12,27}, {18,21}, {3,34}, {14,20}, {12,25}, {6,34}, {5,26}, {15,32}, {15,28}, {18,24}, {8,22}, {14,33}, {1,34}, {16,21}, {17,23}, {5,33}, {17,30}, {15,34}, {10,34}, {2,31}, {2,23}, {17,24}, {7,26}, {15,25}, {1,22}, {6,33}, {12,34}, {16,26}, {14,28}, {7,20}, {8,35}, {13,35}, {3,23}, {5,29}, {4,31}, {3,27}, {4,30}, {14,26}, {1,19}, {15,19}, {4,21}, {15,33}, {5,28}, {13,30}, {1,35}, {1,26}, {12,24}, {12,23}, {5,22}, {6,19}, {17,22}, {18,32}, {16,27}, {14,22}, {18,28}, {13,32}, {5,20}, {9,28}, {11,31}, {3,24}, {9,24}, {11,25}, {12,36}, {8,23}, {18,29}, {11,30}, {4,32}, {13,21}, {1,27}, {9,29}, {3,25}, {17,29}, {11,20}, {7,21}, {14,29}, {2,25}, {3,36}, {18,36}, {9,32}, {8,30}, {13,31}, {9,36}, {10,26}, {10,35}, {13,19}, {7,36}, {16,31}, {2,30}, {4,19}, {8,29}, {6,28} }; // ETB36.25 (= ET36.31) // Bipartite(8,28) Valencies [7,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 40320 EdgesBipt[36][25]:={ {1,26}, {4,13}, {5,36}, {6,34}, {1,24}, {2,30}, {5,29}, {1,33}, {3,21}, {6,12}, {7,13}, {5,11}, {1,31}, {7,33}, {2,12}, {6,32}, {6,16}, {4,32}, {5,23}, {8,10}, {7,27}, {5,25}, {3,16}, {3,28}, {2,20}, {3,15}, {4,21}, {7,15}, {5,17}, {6,27}, {3,31}, {7,22}, {8,34}, {8,22}, {7,20}, {1,17}, {4,25}, {2,28}, {8,26}, {5,18}, {2,23}, {2,35}, {8,14}, {8,18}, {1,19}, {2,9}, {6,11}, {1,9}, {4,14}, {4,35}, {4,19}, {8,30}, {6,24}, {3,10}, {3,36}, {7,29} }; // ETB36.26 (= ET36.33) // Bipartite(12,24) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[36][26]:={ {9,13}, {4,35}, {10,19}, {7,19}, {3,15}, {8,31}, {8,24}, {11,23}, {6,18}, {2,22}, {6,14}, {5,30}, {11,33}, {10,27}, {8,36}, {2,20}, {1,25}, {4,16}, {12,15}, {12,17}, {7,33}, {12,31}, {5,24}, {3,32}, {6,32}, {11,22}, {7,15}, {2,28}, {3,34}, {3,31}, {6,34}, {2,19}, {4,26}, {9,17}, {10,18}, {12,21}, {2,23}, {8,33}, {10,25}, {2,16}, {1,16}, {10,13}, {2,17}, {7,29}, {3,14}, {10,15}, {4,29}, {5,19}, {8,35}, {3,23}, {11,28}, {4,30}, {6,26}, {10,33}, {7,30}, {4,21}, {12,29}, {1,35}, {1,26}, {12,23}, {2,27}, {11,36}, {7,18}, {8,32}, {9,28}, {4,22}, {5,20}, {10,14}, {5,31}, {5,17}, {9,24}, {12,36}, {6,20}, {9,26}, {3,21}, {1,14}, {9,18}, {11,27}, {1,27}, {11,32}, {7,22}, {1,13}, {8,25}, {9,29}, {3,20}, {6,24}, {8,30}, {9,36}, {4,34}, {7,34}, {5,16}, {11,35}, {1,21}, {5,25}, {12,13}, {6,28} }; // ETB36.27 (= ET36.34) // Bipartite(12,24) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[36][27]:={ {9,13}, {7,19}, {5,32}, {3,15}, {8,31}, {12,26}, {10,22}, {11,23}, {2,22}, {1,31}, {6,17}, {8,36}, {6,23}, {2,20}, {5,34}, {1,25}, {6,13}, {7,33}, {12,14}, {9,21}, {12,18}, {3,30}, {11,22}, {7,15}, {8,34}, {3,34}, {6,34}, {2,19}, {9,17}, {10,18}, {12,21}, {12,30}, {5,33}, {9,27}, {2,23}, {8,33}, {8,28}, {2,16}, {1,16}, {10,13}, {2,17}, {7,29}, {3,14}, {10,15}, {10,16}, {4,29}, {5,19}, {8,35}, {3,23}, {11,28}, {4,31}, {4,30}, {10,33}, {6,15}, {4,36}, {4,21}, {7,30}, {12,35}, {4,25}, {11,26}, {6,29}, {11,36}, {3,35}, {8,27}, {10,28}, {7,18}, {8,32}, {5,20}, {10,14}, {3,24}, {5,17}, {5,31}, {11,25}, {9,26}, {1,14}, {9,18}, {11,27}, {7,22}, {1,13}, {9,29}, {2,26}, {3,20}, {2,25}, {12,32}, {1,28}, {9,32}, {6,24}, {6,27}, {7,36}, {5,16}, {11,35}, {1,21}, {12,20}, {4,19}, {4,24}, {1,24} }; // ETB36.28 (= ET36.35) // Bipartite(12,24) Valencies [8,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 146767085568 EdgesBipt[36][28]:={ {4,35}, {7,19}, {11,17}, {3,15}, {10,22}, {11,23}, {6,18}, {12,19}, {5,30}, {6,36}, {1,31}, {5,35}, {11,29}, {2,20}, {1,25}, {4,16}, {6,13}, {12,31}, {5,24}, {2,33}, {7,31}, {6,25}, {9,21}, {12,18}, {1,32}, {3,34}, {12,25}, {2,15}, {8,14}, {10,23}, {8,15}, {12,30}, {2,14}, {5,23}, {10,34}, {9,27}, {8,33}, {7,26}, {2,32}, {8,21}, {9,34}, {4,28}, {10,16}, {4,29}, {7,25}, {3,22}, {7,20}, {8,26}, {7,13}, {5,29}, {7,14}, {3,27}, {1,19}, {11,18}, {4,17}, {9,15}, {10,29}, {1,26}, {12,24}, {6,31}, {9,33}, {11,36}, {6,19}, {2,27}, {2,21}, {6,30}, {10,28}, {8,27}, {8,32}, {9,28}, {4,22}, {3,28}, {5,36}, {5,17}, {12,36}, {8,20}, {3,21}, {1,14}, {11,30}, {10,17}, {1,20}, {3,16}, {1,13}, {7,32}, {2,26}, {6,24}, {5,18}, {4,34}, {10,35}, {9,16}, {3,33}, {4,23}, {11,24}, {11,35}, {12,13}, {9,22} }; // ETB36.29 (= ET36.36) // Bipartite(12,24) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9172942848 EdgesBipt[36][29]:={ {7,19}, {10,21}, {3,15}, {8,24}, {9,30}, {2,22}, {1,31}, {6,17}, {12,16}, {10,27}, {8,36}, {7,24}, {6,23}, {2,20}, {5,34}, {1,25}, {4,16}, {12,17}, {12,22}, {7,31}, {2,28}, {3,31}, {8,14}, {9,17}, {5,21}, {3,19}, {1,29}, {2,14}, {5,33}, {1,17}, {3,13}, {2,16}, {2,32}, {6,33}, {6,21}, {12,34}, {8,18}, {4,28}, {10,15}, {7,25}, {9,23}, {5,15}, {8,26}, {7,13}, {3,27}, {2,34}, {4,30}, {10,33}, {6,15}, {1,19}, {12,28}, {4,36}, {7,30}, {5,28}, {12,29}, {12,35}, {1,35}, {11,26}, {11,14}, {6,29}, {12,23}, {11,13}, {5,22}, {1,23}, {5,27}, {9,35}, {11,19}, {7,18}, {8,32}, {4,22}, {10,14}, {11,31}, {9,24}, {11,25}, {8,20}, {3,21}, {9,18}, {11,32}, {1,13}, {4,18}, {9,29}, {3,25}, {2,26}, {10,32}, {11,20}, {10,20}, {6,35}, {8,30}, {10,26}, {9,36}, {4,34}, {6,27}, {3,33}, {7,36}, {5,16}, {4,24} }; // ETB36.30 (= ET36.37) // Bipartite(12,24) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[36][30]:={ {1,15}, {7,19}, {3,15}, {9,30}, {4,14}, {12,19}, {3,29}, {2,22}, {5,30}, {11,33}, {12,16}, {1,31}, {2,20}, {1,25}, {4,16}, {12,31}, {5,24}, {6,32}, {7,31}, {12,33}, {7,27}, {3,30}, {7,23}, {7,15}, {8,34}, {5,13}, {3,34}, {8,14}, {4,26}, {9,17}, {5,21}, {3,18}, {8,22}, {12,21}, {2,14}, {5,33}, {9,27}, {10,36}, {2,23}, {2,32}, {6,33}, {6,21}, {9,34}, {4,28}, {10,16}, {4,29}, {7,25}, {3,22}, {10,24}, {8,35}, {8,26}, {7,13}, {3,27}, {2,34}, {1,19}, {11,18}, {12,28}, {4,36}, {4,17}, {2,35}, {9,15}, {10,29}, {1,35}, {7,35}, {6,31}, {11,13}, {11,36}, {6,19}, {1,23}, {10,28}, {8,32}, {10,14}, {5,36}, {11,25}, {8,20}, {8,23}, {11,21}, {6,20}, {6,16}, {11,30}, {9,18}, {10,17}, {1,27}, {1,13}, {9,29}, {2,26}, {12,32}, {3,17}, {5,18}, {10,26}, {11,24}, {12,20}, {5,25}, {4,24}, {9,22}, {6,28} }; // ETB36.31 (= ET36.38) // Bipartite(12,24) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1572864 EdgesBipt[36][31]:={ {11,15}, {10,22}, {11,23}, {12,19}, {6,14}, {5,30}, {11,33}, {6,17}, {12,16}, {10,27}, {7,24}, {6,23}, {5,34}, {1,25}, {12,17}, {12,31}, {3,32}, {9,21}, {5,13}, {2,28}, {3,34}, {3,31}, {6,34}, {2,19}, {2,15}, {8,13}, {6,22}, {3,19}, {8,15}, {10,34}, {10,36}, {2,31}, {2,16}, {1,16}, {2,36}, {4,33}, {7,29}, {10,15}, {4,29}, {7,25}, {3,22}, {5,19}, {10,24}, {7,20}, {8,35}, {7,13}, {4,30}, {6,26}, {11,18}, {12,28}, {4,36}, {4,21}, {4,17}, {12,29}, {12,35}, {1,26}, {6,29}, {12,23}, {2,24}, {9,33}, {5,22}, {2,27}, {8,27}, {8,32}, {9,28}, {10,14}, {5,31}, {8,20}, {8,23}, {11,21}, {9,26}, {3,21}, {1,14}, {11,30}, {11,27}, {1,13}, {4,18}, {8,25}, {7,32}, {3,20}, {9,14}, {1,28}, {9,32}, {6,35}, {5,18}, {10,26}, {9,16}, {3,33}, {7,36}, {7,17}, {1,30}, {11,35}, {1,18}, {5,25}, {4,24}, {9,20} }; // ETB36.32 (= ET36.39) // Bipartite(12,24) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 196608 EdgesBipt[36][32]:={ {9,13}, {5,14}, {10,21}, {8,31}, {6,18}, {4,14}, {3,29}, {11,33}, {12,16}, {6,17}, {4,27}, {7,24}, {1,25}, {12,15}, {7,33}, {3,32}, {6,32}, {12,18}, {1,32}, {11,22}, {12,27}, {7,23}, {2,28}, {3,34}, {12,25}, {3,31}, {5,26}, {4,26}, {10,18}, {10,23}, {10,30}, {3,19}, {11,34}, {1,34}, {12,30}, {2,14}, {9,27}, {2,23}, {8,33}, {7,26}, {8,28}, {2,16}, {1,22}, {8,21}, {8,18}, {9,34}, {2,13}, {4,29}, {3,22}, {5,19}, {5,29}, {7,14}, {10,33}, {6,15}, {12,28}, {4,36}, {4,17}, {2,35}, {5,28}, {9,25}, {4,15}, {9,15}, {1,35}, {8,19}, {6,29}, {7,35}, {11,36}, {1,23}, {6,30}, {11,19}, {11,31}, {8,16}, {5,17}, {5,31}, {9,24}, {11,21}, {6,20}, {1,20}, {1,13}, {2,26}, {10,32}, {3,20}, {7,21}, {2,25}, {3,17}, {10,20}, {8,30}, {9,36}, {6,27}, {10,35}, {7,36}, {11,24}, {5,16}, {4,24}, {12,13}, {9,22} }; // ETB36.33 (= ET36.40) // Bipartite(12,24) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 196608 EdgesBipt[36][33]:={ {5,32}, {11,15}, {10,21}, {4,14}, {12,19}, {6,36}, {12,16}, {6,17}, {5,35}, {2,20}, {1,25}, {12,15}, {12,31}, {6,32}, {7,27}, {11,22}, {12,27}, {7,23}, {7,15}, {8,34}, {2,28}, {3,34}, {3,31}, {4,26}, {8,13}, {2,29}, {3,19}, {1,29}, {8,22}, {11,34}, {1,34}, {5,23}, {9,27}, {10,36}, {8,33}, {7,26}, {1,17}, {10,25}, {2,16}, {1,22}, {2,32}, {6,33}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {4,33}, {3,14}, {2,13}, {10,16}, {4,29}, {3,22}, {9,23}, {10,24}, {5,19}, {3,23}, {7,14}, {4,30}, {10,33}, {11,18}, {12,28}, {7,30}, {4,21}, {4,17}, {5,28}, {9,15}, {1,26}, {6,29}, {7,35}, {12,24}, {3,35}, {9,35}, {10,28}, {11,19}, {7,18}, {5,20}, {11,31}, {3,26}, {5,31}, {9,24}, {12,36}, {6,20}, {1,14}, {11,30}, {11,27}, {1,13}, {4,18}, {8,25}, {2,25}, {9,32}, {6,24}, {8,30}, {9,36}, {5,16}, {9,20} }; // ETB36.34 (= ET36.41) // Bipartite(18,18) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 576 EdgesBipt[36][34]:={ {10,24}, {1,20}, {2,24}, {13,32}, {2,33}, {6,32}, {17,36}, {4,27}, {11,35}, {5,34}, {14,19}, {16,26}, {18,29}, {3,22}, {4,30}, {16,27}, {15,31}, {4,29}, {8,33}, {1,27}, {3,25}, {10,26}, {17,20}, {7,22}, {1,19}, {2,26}, {7,34}, {17,24}, {1,21}, {7,36}, {17,21}, {8,25}, {2,28}, {12,34}, {1,30}, {16,23}, {8,27}, {13,29}, {18,34}, {10,22}, {6,22}, {15,29}, {6,21}, {2,25}, {14,33}, {2,34}, {8,19}, {7,20}, {14,36}, {16,24}, {9,27}, {12,20}, {12,36}, {7,32}, {1,31}, {10,28}, {14,24}, {11,31}, {17,33}, {1,22}, {6,30}, {4,33}, {5,23}, {10,29}, {3,20}, {9,34}, {13,22}, {15,19}, {10,21}, {13,31}, {18,30}, {11,21}, {4,35}, {9,25}, {2,32}, {16,32}, {11,23}, {11,29}, {5,24}, {13,23}, {12,28}, {12,25}, {13,25}, {13,28}, {9,20}, {18,26}, {15,36}, {5,28}, {17,31}, {8,26}, {12,26}, {16,22}, {7,31}, {13,30}, {4,36}, {8,21}, {3,19}, {5,31}, {17,25}, {11,24}, {6,27}, {12,19}, {6,26}, {12,30}, {3,23}, {8,23}, {18,19}, {3,21}, {18,23}, {9,30}, {1,35}, {14,20}, {16,34}, {15,21}, {7,28}, {10,35}, {6,36}, {5,33}, {3,24}, {2,29}, {11,27}, {4,34}, {10,36}, {18,22}, {11,32}, {16,20}, {15,33}, {6,25}, {9,33}, {15,28}, {3,28}, {14,35}, {5,19}, {7,35}, {15,30}, {5,35}, {9,31}, {17,32}, {18,35}, {9,23}, {14,27}, {8,29}, {4,32}, {14,26} }; // ETB36.35 (= ET36.42) // Bipartite(18,18) Valencies [8,8] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 37748736 EdgesBipt[36][35]:={ {10,19}, {7,19}, {13,25}, {14,21}, {5,32}, {10,21}, {16,36}, {8,24}, {12,26}, {10,22}, {11,23}, {5,30}, {6,36}, {1,31}, {4,27}, {5,35}, {7,24}, {11,29}, {2,20}, {13,24}, {17,19}, {1,25}, {7,33}, {5,24}, {3,32}, {13,34}, {17,35}, {7,31}, {7,27}, {13,27}, {12,27}, {14,35}, {18,23}, {15,29}, {2,28}, {3,34}, {9,31}, {12,25}, {16,33}, {2,19}, {5,26}, {6,22}, {5,21}, {2,29}, {10,30}, {7,28}, {1,34}, {14,33}, {5,33}, {5,23}, {10,34}, {15,22}, {2,23}, {13,33}, {17,24}, {8,33}, {8,28}, {10,25}, {1,22}, {14,30}, {2,32}, {12,34}, {4,33}, {9,34}, {15,36}, {10,31}, {16,19}, {9,23}, {18,25}, {8,35}, {8,26}, {15,20}, {15,35}, {3,23}, {11,28}, {3,27}, {4,30}, {18,34}, {6,26}, {14,26}, {1,19}, {4,36}, {4,21}, {17,33}, {12,35}, {13,30}, {9,25}, {4,25}, {8,19}, {6,29}, {15,26}, {12,23}, {14,32}, {6,31}, {18,32}, {3,35}, {15,31}, {2,21}, {16,27}, {10,28}, {11,19}, {14,23}, {3,26}, {12,36}, {8,20}, {16,22}, {11,21}, {6,20}, {18,20}, {18,29}, {11,30}, {13,21}, {11,32}, {7,22}, {15,27}, {16,28}, {9,29}, {3,25}, {17,29}, {13,36}, {11,20}, {12,32}, {1,28}, {3,36}, {18,31}, {17,26}, {9,32}, {6,35}, {18,22}, {17,28}, {17,20}, {4,34}, {6,27}, {7,36}, {1,30}, {16,31}, {2,30}, {1,21}, {14,24}, {4,24}, {9,20}, {8,29}, {9,22}, {16,24} }; // ETB36.36 (= ET36.43) // Bipartite(18,18) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 73728 EdgesBipt[36][36]:={ {10,19}, {13,25}, {14,21}, {16,34}, {16,36}, {8,31}, {12,26}, {12,19}, {6,36}, {11,33}, {10,27}, {5,35}, {7,24}, {11,29}, {2,20}, {1,25}, {5,24}, {13,34}, {2,33}, {6,32}, {7,27}, {9,21}, {3,30}, {1,32}, {16,20}, {14,35}, {18,23}, {18,21}, {3,34}, {9,31}, {12,25}, {6,34}, {2,19}, {15,32}, {13,20}, {5,21}, {10,23}, {15,28}, {2,29}, {3,19}, {1,29}, {8,22}, {12,30}, {14,33}, {17,31}, {17,23}, {5,33}, {5,23}, {17,30}, {15,34}, {4,20}, {9,27}, {2,31}, {13,33}, {7,26}, {8,28}, {10,25}, {6,21}, {12,34}, {2,36}, {4,33}, {7,29}, {15,36}, {16,26}, {14,28}, {9,23}, {10,24}, {7,20}, {18,25}, {8,26}, {16,29}, {4,30}, {10,33}, {1,19}, {12,28}, {15,19}, {4,21}, {2,35}, {5,28}, {12,35}, {13,30}, {9,25}, {4,25}, {10,29}, {13,22}, {18,27}, {12,24}, {18,35}, {6,31}, {5,22}, {6,19}, {11,36}, {17,22}, {14,36}, {15,21}, {3,35}, {15,31}, {1,23}, {16,27}, {14,22}, {9,35}, {11,19}, {13,32}, {14,23}, {8,32}, {4,22}, {3,28}, {11,31}, {5,36}, {3,26}, {3,24}, {8,23}, {16,22}, {9,26}, {18,20}, {11,30}, {4,32}, {13,21}, {1,27}, {7,22}, {15,27}, {3,25}, {17,29}, {10,32}, {11,20}, {1,33}, {18,31}, {17,26}, {17,32}, {8,30}, {17,28}, {4,34}, {6,27}, {7,34}, {7,36}, {11,35}, {2,30}, {14,24}, {9,20}, {18,26}, {1,24}, {8,29}, {6,28}, {16,24} }; // ETB36.37 (= ET36.44) // Bipartite(18,18) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT Non-AT // Automorphism group of order 144 EdgesBipt[36][37]:={ {7,19}, {13,25}, {14,21}, {16,34}, {5,32}, {13,29}, {14,25}, {8,31}, {9,30}, {3,29}, {1,31}, {4,27}, {7,24}, {2,20}, {13,24}, {5,34}, {17,19}, {12,22}, {3,32}, {2,33}, {7,27}, {9,21}, {3,30}, {1,32}, {11,22}, {16,20}, {12,27}, {14,35}, {18,23}, {18,21}, {15,29}, {2,28}, {9,31}, {14,20}, {12,25}, {3,31}, {16,33}, {6,34}, {2,19}, {5,26}, {15,32}, {15,28}, {10,30}, {1,29}, {7,28}, {12,21}, {14,33}, {17,23}, {5,33}, {5,23}, {17,30}, {15,34}, {10,34}, {10,36}, {2,31}, {13,33}, {8,28}, {10,25}, {13,26}, {12,34}, {8,21}, {7,29}, {4,29}, {7,25}, {3,22}, {5,19}, {10,24}, {18,25}, {8,35}, {15,20}, {11,28}, {18,34}, {6,26}, {1,19}, {4,36}, {2,35}, {17,33}, {12,35}, {4,25}, {10,29}, {1,26}, {7,35}, {17,36}, {15,26}, {18,35}, {12,23}, {2,24}, {9,33}, {5,22}, {11,36}, {6,19}, {2,27}, {17,22}, {15,31}, {1,23}, {16,27}, {5,27}, {6,30}, {11,19}, {14,31}, {14,23}, {8,32}, {4,22}, {3,28}, {9,24}, {8,23}, {16,22}, {11,21}, {6,20}, {18,20}, {3,21}, {11,30}, {17,21}, {11,27}, {4,32}, {18,30}, {8,25}, {13,23}, {13,36}, {1,33}, {12,32}, {1,28}, {3,36}, {10,20}, {17,26}, {6,35}, {10,26}, {9,36}, {4,34}, {6,27}, {13,19}, {15,30}, {16,32}, {7,36}, {11,35}, {16,31}, {14,24}, {4,24}, {9,20}, {18,26}, {8,29}, {9,22}, {6,28}, {16,24} }; // ETB36.38 (= ET36.50) // Bipartite(9,27) Valencies [9,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[36][38]:={ {2,11}, {3,22}, {4,24}, {5,32}, {9,19}, {1,14}, {6,34}, {7,11}, {8,20}, {2,26}, {8,31}, {6,33}, {2,29}, {5,29}, {2,24}, {7,12}, {8,16}, {1,10}, {4,11}, {4,10}, {8,21}, {7,13}, {3,33}, {8,25}, {6,30}, {1,20}, {5,15}, {4,16}, {6,36}, {2,33}, {9,32}, {4,30}, {2,21}, {8,27}, {8,32}, {5,23}, {5,20}, {4,12}, {4,18}, {7,10}, {2,31}, {1,16}, {3,28}, {3,17}, {5,19}, {4,27}, {3,25}, {9,12}, {9,36}, {4,21}, {9,27}, {7,15}, {2,15}, {3,14}, {3,31}, {1,18}, {7,22}, {9,34}, {9,35}, {8,35}, {7,19}, {6,18}, {9,22}, {1,28}, {8,26}, {2,17}, {5,26}, {5,34}, {1,13}, {5,13}, {7,17}, {9,30}, {6,28}, {1,23}, {7,14}, {1,25}, {6,29}, {6,23}, {6,24}, {3,36}, {3,35} }; // ETB36.39 (= ET36.51) // Bipartite(9,27) Valencies [9,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1088391168 EdgesBipt[36][39]:={ {2,11}, {3,32}, {5,12}, {2,14}, {4,24}, {9,23}, {8,20}, {2,26}, {4,36}, {8,31}, {2,32}, {2,29}, {9,25}, {5,29}, {9,16}, {7,12}, {1,10}, {6,26}, {8,11}, {6,31}, {8,15}, {3,33}, {5,11}, {8,24}, {3,23}, {1,31}, {3,24}, {6,36}, {8,29}, {9,32}, {4,30}, {7,30}, {5,16}, {5,21}, {4,12}, {5,20}, {4,33}, {4,18}, {5,25}, {7,10}, {1,16}, {3,28}, {2,20}, {3,15}, {8,33}, {4,27}, {9,36}, {4,21}, {9,27}, {3,19}, {8,13}, {6,27}, {3,14}, {5,30}, {9,34}, {7,21}, {7,35}, {8,22}, {4,15}, {7,19}, {6,18}, {6,22}, {1,28}, {9,18}, {2,17}, {7,28}, {9,14}, {6,17}, {6,35}, {2,23}, {5,34}, {1,13}, {2,35}, {1,19}, {7,17}, {1,22}, {1,34}, {1,25}, {6,13}, {3,10}, {7,26} }; // ETB36.40 (= ET36.55) // Bipartite(6,30) Valencies [10,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 35831808000000 EdgesBipt[36][40]:={ {5,12}, {3,22}, {1,26}, {2,14}, {5,36}, {4,23}, {1,14}, {2,26}, {5,24}, {2,32}, {5,29}, {4,34}, {1,32}, {4,11}, {4,10}, {3,21}, {6,31}, {3,27}, {6,12}, {3,33}, {5,11}, {6,30}, {1,20}, {4,16}, {1,31}, {3,9}, {6,36}, {6,7}, {2,33}, {2,21}, {5,23}, {1,7}, {3,16}, {3,28}, {2,20}, {3,15}, {5,17}, {2,15}, {4,17}, {5,30}, {4,28}, {2,27}, {4,22}, {6,18}, {6,19}, {3,34}, {5,18}, {6,25}, {1,8}, {1,13}, {5,35}, {1,19}, {2,9}, {4,35}, {2,8}, {1,25}, {6,13}, {6,24}, {3,10}, {4,29} }; // ETB36.41 (= ET36.56) // Bipartite(6,30) Valencies [10,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[36][41]:={ {4,24}, {4,9}, {5,36}, {5,32}, {1,14}, {1,29}, {6,33}, {4,34}, {1,32}, {2,24}, {6,26}, {4,10}, {6,31}, {6,12}, {5,15}, {3,8}, {3,23}, {1,31}, {6,36}, {2,33}, {6,16}, {5,21}, {4,12}, {5,20}, {1,7}, {2,7}, {3,11}, {1,16}, {3,28}, {2,20}, {3,15}, {5,19}, {4,27}, {3,25}, {2,18}, {5,17}, {3,30}, {6,27}, {6,21}, {3,26}, {5,30}, {1,17}, {6,18}, {4,25}, {1,28}, {3,13}, {2,23}, {5,34}, {1,13}, {5,35}, {2,35}, {2,9}, {6,11}, {1,22}, {4,14}, {2,8}, {4,19}, {2,22}, {3,10}, {4,29} }; // ETB36.42 (= ET36.57) // Bipartite(12,24) Valencies [10,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 983040 EdgesBipt[36][42]:={ {10,19}, {4,35}, {11,15}, {8,24}, {12,26}, {10,22}, {3,29}, {11,33}, {4,27}, {6,17}, {12,16}, {8,36}, {5,35}, {2,20}, {1,25}, {6,13}, {12,14}, {5,24}, {3,32}, {6,25}, {9,19}, {11,16}, {12,18}, {11,22}, {8,34}, {2,28}, {9,31}, {3,31}, {2,15}, {8,14}, {5,21}, {3,19}, {8,22}, {11,34}, {12,30}, {5,33}, {5,23}, {10,34}, {9,27}, {2,23}, {8,33}, {10,25}, {2,16}, {2,32}, {6,33}, {6,21}, {10,13}, {8,21}, {9,34}, {7,29}, {3,14}, {2,13}, {10,31}, {10,16}, {4,29}, {7,25}, {5,19}, {7,20}, {8,26}, {7,13}, {8,17}, {3,23}, {11,28}, {4,30}, {6,15}, {11,18}, {12,28}, {4,36}, {7,30}, {4,17}, {2,35}, {5,28}, {4,15}, {9,15}, {1,35}, {1,26}, {6,29}, {12,24}, {6,31}, {2,27}, {6,19}, {3,35}, {1,23}, {10,28}, {7,18}, {10,14}, {5,36}, {3,26}, {5,31}, {9,24}, {12,36}, {11,21}, {1,14}, {11,30}, {11,27}, {7,22}, {1,13}, {4,18}, {7,32}, {3,20}, {1,33}, {2,25}, {12,32}, {3,17}, {9,32}, {10,26}, {9,36}, {6,27}, {7,34}, {7,17}, {4,23}, {1,30}, {5,16}, {1,21}, {1,18}, {12,20}, {4,24}, {9,20}, {8,29}, {9,22} }; // ETB36.43 (= ET36.58) // Bipartite(16,20) Valencies [10,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[36][43]:={ {2,24}, {1,20}, {11,20}, {13,32}, {4,27}, {12,29}, {13,21}, {5,34}, {14,19}, {15,24}, {16,26}, {16,33}, {16,27}, {6,17}, {2,23}, {15,31}, {4,29}, {1,32}, {10,26}, {4,19}, {7,22}, {4,31}, {2,19}, {10,33}, {3,35}, {2,26}, {7,34}, {16,25}, {12,35}, {7,36}, {8,25}, {2,28}, {12,34}, {1,30}, {16,23}, {14,28}, {9,35}, {4,23}, {8,31}, {8,27}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {11,33}, {6,31}, {14,33}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {9,29}, {7,20}, {14,21}, {16,24}, {12,20}, {12,36}, {9,19}, {14,30}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {10,28}, {14,24}, {15,27}, {6,30}, {4,33}, {5,23}, {10,31}, {9,34}, {15,19}, {10,21}, {13,18}, {1,29}, {8,17}, {13,31}, {11,21}, {9,25}, {8,36}, {2,32}, {7,26}, {5,18}, {1,23}, {11,29}, {5,30}, {7,17}, {15,35}, {12,25}, {8,22}, {13,25}, {3,27}, {15,17}, {1,33}, {3,29}, {6,23}, {13,36}, {8,26}, {9,22}, {13,30}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {13,24}, {14,34}, {3,23}, {1,25}, {6,28}, {9,30}, {15,21}, {16,34}, {16,17}, {7,28}, {13,26}, {10,35}, {7,23}, {6,36}, {5,33}, {3,24}, {11,27}, {16,35}, {11,32}, {9,17}, {14,32}, {10,18}, {15,33}, {16,20}, {9,36}, {5,26}, {15,28}, {4,18}, {4,25}, {12,24}, {3,28}, {7,27}, {3,31}, {10,20}, {11,34}, {5,19}, {6,20}, {2,30}, {13,20}, {5,35}, {2,18}, {6,35}, {9,21}, {3,36}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29} }; // ETB36.44 (= ET36.59) // Bipartite(16,20) Valencies [10,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 550376570880000 EdgesBipt[36][44]:={ {10,25}, {1,20}, {5,17}, {11,20}, {13,32}, {9,28}, {2,33}, {11,36}, {4,27}, {13,21}, {11,35}, {15,24}, {16,26}, {4,26}, {4,30}, {16,27}, {8,30}, {6,17}, {12,22}, {16,31}, {15,31}, {1,32}, {10,26}, {16,19}, {4,19}, {4,31}, {10,33}, {3,35}, {5,20}, {2,26}, {1,21}, {16,18}, {12,35}, {7,36}, {12,34}, {5,32}, {16,23}, {4,23}, {8,31}, {8,27}, {13,29}, {10,22}, {6,22}, {11,28}, {10,30}, {6,29}, {16,30}, {6,21}, {2,25}, {14,33}, {2,34}, {1,17}, {4,22}, {8,19}, {9,29}, {7,20}, {14,21}, {9,32}, {15,32}, {5,29}, {14,30}, {5,25}, {7,32}, {11,31}, {15,27}, {6,30}, {10,29}, {3,20}, {15,19}, {10,21}, {6,18}, {1,29}, {3,32}, {4,35}, {9,25}, {13,33}, {6,33}, {11,23}, {15,35}, {5,24}, {8,22}, {13,25}, {8,35}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {1,33}, {15,36}, {13,36}, {5,28}, {8,26}, {12,26}, {16,22}, {7,31}, {2,17}, {12,27}, {14,17}, {3,19}, {14,18}, {1,24}, {12,23}, {14,22}, {13,24}, {11,24}, {12,19}, {6,26}, {12,30}, {14,34}, {8,23}, {3,23}, {5,36}, {1,25}, {16,34}, {14,25}, {7,28}, {7,23}, {2,21}, {8,34}, {5,33}, {10,17}, {3,24}, {2,29}, {11,27}, {16,35}, {2,22}, {4,34}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {9,33}, {9,36}, {6,34}, {8,18}, {15,28}, {4,18}, {11,19}, {3,28}, {7,27}, {15,23}, {7,24}, {3,31}, {9,24}, {12,31}, {7,35}, {5,21}, {2,30}, {13,17}, {13,20}, {2,18}, {7,19}, {9,21}, {3,36}, {12,18}, {1,36}, {14,29}, {14,26} }; // ETB36.45 (= ET36.60) // Bipartite(16,20) Valencies [10,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1966080 EdgesBipt[36][45]:={ {10,24}, {11,20}, {6,32}, {4,27}, {15,24}, {16,26}, {16,33}, {4,26}, {4,30}, {12,22}, {12,32}, {4,29}, {8,33}, {1,27}, {10,23}, {4,19}, {7,22}, {2,19}, {10,33}, {2,27}, {1,19}, {5,20}, {13,35}, {14,31}, {2,26}, {1,21}, {12,35}, {7,36}, {8,25}, {2,28}, {12,34}, {5,32}, {16,23}, {14,28}, {9,35}, {4,23}, {8,31}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {16,30}, {6,21}, {2,25}, {6,31}, {1,17}, {2,36}, {5,22}, {9,29}, {7,20}, {14,21}, {9,32}, {16,24}, {9,26}, {12,36}, {5,29}, {9,19}, {7,32}, {15,26}, {1,31}, {11,22}, {11,31}, {14,24}, {2,35}, {15,27}, {4,33}, {5,23}, {10,31}, {3,20}, {10,21}, {6,18}, {1,29}, {7,30}, {11,21}, {9,25}, {13,33}, {7,26}, {16,32}, {1,23}, {5,30}, {11,30}, {13,23}, {12,28}, {12,25}, {8,22}, {15,34}, {13,25}, {8,35}, {15,20}, {3,27}, {15,17}, {1,33}, {3,29}, {13,36}, {15,36}, {12,26}, {16,22}, {9,22}, {2,17}, {4,36}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {13,24}, {11,24}, {5,31}, {14,34}, {8,23}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {13,27}, {1,35}, {16,34}, {14,25}, {7,28}, {13,26}, {15,18}, {16,36}, {3,30}, {5,33}, {8,34}, {10,17}, {2,29}, {10,27}, {10,34}, {11,32}, {16,20}, {8,24}, {6,25}, {9,33}, {9,36}, {15,28}, {4,20}, {12,24}, {3,28}, {14,35}, {3,31}, {10,20}, {13,34}, {11,34}, {5,19}, {5,21}, {13,17}, {15,30}, {2,18}, {7,19}, {4,17}, {6,35}, {9,23}, {14,27}, {12,18}, {11,18}, {7,18} }; // ETB36.46 (= ET36.61) // Bipartite(18,18) Valencies [10,10] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 8640 EdgesBipt[36][46]:={ {10,25}, {1,20}, {2,24}, {9,28}, {2,33}, {6,32}, {4,27}, {12,29}, {5,34}, {14,19}, {15,24}, {16,33}, {18,29}, {4,30}, {11,25}, {16,27}, {12,32}, {16,31}, {8,33}, {1,27}, {10,23}, {17,34}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {13,35}, {2,26}, {17,24}, {16,25}, {12,35}, {7,36}, {17,21}, {18,21}, {8,25}, {12,34}, {1,30}, {5,32}, {16,23}, {4,23}, {8,27}, {18,34}, {10,22}, {10,30}, {6,29}, {16,30}, {15,29}, {6,21}, {3,34}, {6,31}, {14,33}, {2,34}, {8,19}, {9,29}, {7,20}, {14,21}, {9,32}, {15,32}, {18,20}, {12,36}, {5,29}, {14,30}, {5,25}, {15,26}, {1,31}, {11,22}, {7,25}, {14,24}, {10,28}, {17,33}, {1,22}, {4,33}, {10,31}, {3,20}, {9,34}, {13,22}, {3,32}, {4,35}, {13,33}, {2,32}, {11,29}, {5,30}, {17,30}, {15,35}, {11,30}, {17,27}, {13,23}, {12,28}, {8,22}, {13,25}, {18,24}, {15,20}, {13,28}, {9,20}, {18,26}, {1,28}, {18,36}, {4,28}, {1,33}, {6,23}, {3,26}, {15,36}, {13,36}, {18,31}, {12,26}, {16,22}, {7,31}, {13,30}, {8,32}, {8,21}, {12,23}, {14,22}, {11,24}, {17,25}, {6,26}, {17,29}, {3,21}, {6,28}, {18,23}, {1,35}, {15,21}, {14,25}, {7,28}, {11,26}, {10,35}, {7,23}, {13,19}, {16,36}, {2,21}, {8,34}, {5,33}, {3,24}, {11,27}, {16,35}, {10,27}, {2,22}, {10,36}, {11,32}, {16,20}, {14,32}, {8,24}, {9,36}, {6,34}, {5,27}, {5,26}, {15,28}, {11,19}, {10,19}, {4,25}, {4,20}, {12,24}, {3,28}, {7,27}, {15,23}, {3,31}, {9,24}, {17,26}, {7,33}, {12,31}, {11,34}, {5,19}, {6,20}, {17,22}, {5,21}, {2,30}, {13,20}, {9,31}, {7,19}, {6,35}, {9,21}, {3,36}, {18,35}, {9,23}, {8,29}, {1,36}, {14,29}, {14,26} }; // ETB36.47 (= ET36.65) // Bipartite(9,27) Valencies [12,4] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[36][47]:={ {1,15}, {4,35}, {9,13}, {5,32}, {8,24}, {6,10}, {6,18}, {1,11}, {9,30}, {3,29}, {2,22}, {5,30}, {6,36}, {1,31}, {4,27}, {2,11}, {8,36}, {7,24}, {6,23}, {2,20}, {5,34}, {1,25}, {9,12}, {2,33}, {6,32}, {9,19}, {9,21}, {3,30}, {7,23}, {8,34}, {9,31}, {3,31}, {2,19}, {9,10}, {8,14}, {8,13}, {7,11}, {6,22}, {4,12}, {3,18}, {8,22}, {2,14}, {5,33}, {4,20}, {6,11}, {2,23}, {1,10}, {7,26}, {8,28}, {1,17}, {2,16}, {1,16}, {6,21}, {8,10}, {2,17}, {4,33}, {4,28}, {7,29}, {5,19}, {9,23}, {5,15}, {8,26}, {7,13}, {5,29}, {7,14}, {4,31}, {9,25}, {4,15}, {9,15}, {1,26}, {7,35}, {3,35}, {5,27}, {8,27}, {7,18}, {2,12}, {3,28}, {5,36}, {8,16}, {5,17}, {3,24}, {3,12}, {6,16}, {4,32}, {1,20}, {1,13}, {7,32}, {3,25}, {2,26}, {3,20}, {7,21}, {1,33}, {9,14}, {3,36}, {3,17}, {6,35}, {5,18}, {4,34}, {6,27}, {7,34}, {2,30}, {1,21}, {5,25}, {4,19}, {4,24}, {8,29}, {6,28}, {9,22} }; // ETB36.48 (= ET36.66) // Bipartite(9,27) Valencies [12,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 725594112 EdgesBipt[36][48]:={ {9,13}, {7,19}, {5,32}, {5,14}, {8,24}, {1,11}, {9,30}, {3,29}, {6,14}, {5,30}, {4,27}, {6,17}, {2,11}, {6,23}, {2,20}, {1,25}, {4,16}, {6,13}, {9,12}, {3,32}, {2,33}, {6,32}, {7,31}, {6,25}, {7,27}, {9,21}, {3,10}, {9,31}, {3,31}, {6,34}, {2,18}, {2,15}, {8,14}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {8,15}, {7,28}, {1,34}, {7,10}, {5,23}, {3,11}, {1,10}, {8,33}, {1,17}, {3,13}, {1,16}, {2,36}, {8,21}, {2,17}, {4,33}, {4,28}, {9,34}, {3,14}, {3,22}, {8,35}, {8,26}, {7,13}, {8,17}, {3,23}, {5,29}, {6,26}, {1,19}, {4,36}, {7,30}, {2,35}, {9,25}, {4,15}, {4,25}, {9,15}, {1,35}, {1,26}, {2,24}, {6,31}, {9,33}, {2,27}, {5,27}, {7,18}, {5,20}, {8,32}, {3,28}, {5,36}, {9,24}, {8,23}, {6,16}, {1,20}, {5,11}, {7,22}, {4,18}, {2,26}, {3,20}, {7,21}, {5,12}, {1,28}, {6,35}, {5,18}, {8,30}, {4,34}, {9,16}, {7,36}, {7,12}, {4,19}, {4,10}, {4,24}, {8,12}, {9,22} }; // ETB36.49 (= ET36.67) // Bipartite(12,24) Valencies [12,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[36][49]:={ {9,13}, {5,14}, {10,21}, {12,26}, {10,22}, {6,18}, {4,14}, {9,30}, {2,22}, {5,30}, {6,36}, {1,31}, {12,16}, {10,27}, {6,23}, {11,29}, {1,25}, {6,13}, {12,17}, {7,33}, {12,31}, {12,14}, {12,22}, {5,24}, {3,32}, {2,33}, {7,27}, {9,19}, {9,21}, {12,18}, {3,30}, {1,32}, {8,34}, {3,34}, {12,25}, {3,31}, {6,34}, {2,18}, {4,26}, {8,13}, {3,19}, {8,15}, {12,21}, {5,33}, {5,23}, {9,27}, {2,23}, {10,36}, {8,28}, {2,32}, {6,33}, {1,16}, {2,17}, {8,21}, {4,28}, {7,29}, {2,13}, {10,15}, {10,16}, {7,25}, {10,24}, {5,15}, {7,20}, {8,17}, {7,14}, {4,31}, {11,28}, {3,27}, {2,34}, {4,30}, {6,15}, {1,19}, {11,18}, {7,30}, {2,35}, {12,29}, {4,15}, {9,15}, {10,29}, {1,35}, {8,19}, {11,26}, {6,29}, {11,14}, {7,35}, {12,23}, {5,22}, {2,27}, {11,36}, {1,23}, {2,21}, {5,27}, {9,35}, {10,28}, {11,19}, {7,18}, {4,22}, {3,28}, {11,31}, {5,36}, {3,26}, {3,24}, {5,31}, {8,16}, {8,20}, {6,16}, {10,17}, {1,20}, {11,32}, {1,13}, {4,18}, {3,25}, {8,25}, {2,26}, {10,32}, {11,20}, {1,33}, {9,14}, {3,17}, {6,35}, {6,24}, {9,32}, {8,30}, {9,36}, {10,26}, {4,34}, {7,34}, {3,33}, {7,36}, {7,17}, {4,23}, {11,24}, {5,16}, {11,35}, {4,13}, {1,21}, {12,20}, {5,25}, {4,19}, {9,20}, {1,24}, {8,29}, {6,28}, {9,22} }; // ETB36.50 (= ET36.68) // Bipartite(12,24) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2304 EdgesBipt[36][50]:={ {4,35}, {10,19}, {11,15}, {5,14}, {8,24}, {6,18}, {4,14}, {9,30}, {6,17}, {12,16}, {10,27}, {8,36}, {6,23}, {4,16}, {6,13}, {7,33}, {12,14}, {5,24}, {3,32}, {2,33}, {6,32}, {12,33}, {9,19}, {11,16}, {1,32}, {12,27}, {7,23}, {7,15}, {5,13}, {8,34}, {3,34}, {3,31}, {2,19}, {5,26}, {9,17}, {10,23}, {3,19}, {8,22}, {12,21}, {12,30}, {2,14}, {5,33}, {10,34}, {2,31}, {2,23}, {8,28}, {1,36}, {1,17}, {3,13}, {1,16}, {6,21}, {12,34}, {2,36}, {2,17}, {4,28}, {7,29}, {2,13}, {10,15}, {10,31}, {4,29}, {7,25}, {3,22}, {9,23}, {10,24}, {5,15}, {7,20}, {8,35}, {8,26}, {7,13}, {8,17}, {5,29}, {4,31}, {11,28}, {2,34}, {6,15}, {1,19}, {11,18}, {4,36}, {4,21}, {7,30}, {4,17}, {12,29}, {12,35}, {9,25}, {4,25}, {9,15}, {1,26}, {6,29}, {12,24}, {6,31}, {9,33}, {5,22}, {2,27}, {2,21}, {9,35}, {10,28}, {11,19}, {5,20}, {4,22}, {8,32}, {10,14}, {3,28}, {3,26}, {5,31}, {11,25}, {12,36}, {8,23}, {9,26}, {11,21}, {11,30}, {9,18}, {11,27}, {1,27}, {7,22}, {11,32}, {3,16}, {1,13}, {4,18}, {7,32}, {3,25}, {3,20}, {7,21}, {11,20}, {1,33}, {2,25}, {9,14}, {3,36}, {10,20}, {6,24}, {5,18}, {8,30}, {10,26}, {6,27}, {10,35}, {7,34}, {1,30}, {5,16}, {11,35}, {1,18}, {12,20}, {1,24}, {8,29}, {6,28}, {9,22} }; // ETB36.51 (= ET36.69) // Bipartite(12,24) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2786281390080000 EdgesBipt[36][51]:={ {4,35}, {9,13}, {7,19}, {5,32}, {11,15}, {10,21}, {3,15}, {8,31}, {12,26}, {10,22}, {6,18}, {11,23}, {4,14}, {12,19}, {2,22}, {6,14}, {4,27}, {6,17}, {7,24}, {1,25}, {6,13}, {12,15}, {12,31}, {12,14}, {12,22}, {5,24}, {3,32}, {2,33}, {7,31}, {6,25}, {7,27}, {9,21}, {11,16}, {12,18}, {1,32}, {12,27}, {7,23}, {7,15}, {5,13}, {8,34}, {3,31}, {6,34}, {2,18}, {8,14}, {4,26}, {9,17}, {10,18}, {6,22}, {5,21}, {2,29}, {3,19}, {10,30}, {1,29}, {8,22}, {7,28}, {8,15}, {12,30}, {2,14}, {5,33}, {10,34}, {1,36}, {1,17}, {10,25}, {6,33}, {1,16}, {6,21}, {12,34}, {10,13}, {2,17}, {8,18}, {2,13}, {7,20}, {8,35}, {8,26}, {3,23}, {5,29}, {4,31}, {11,28}, {3,27}, {2,34}, {4,30}, {6,26}, {10,33}, {5,28}, {12,35}, {9,25}, {4,15}, {10,29}, {8,19}, {6,29}, {7,35}, {12,23}, {9,33}, {11,36}, {3,35}, {2,21}, {6,30}, {8,27}, {11,19}, {5,20}, {4,22}, {9,28}, {10,14}, {3,28}, {11,31}, {5,36}, {3,24}, {5,17}, {9,24}, {8,23}, {7,16}, {10,17}, {11,27}, {1,20}, {11,32}, {3,16}, {1,13}, {4,18}, {7,32}, {9,29}, {2,26}, {3,20}, {11,20}, {1,33}, {2,25}, {1,28}, {3,36}, {9,32}, {8,30}, {9,36}, {10,26}, {4,34}, {9,16}, {7,36}, {4,23}, {11,24}, {5,16}, {11,35}, {2,30}, {1,21}, {5,25}, {4,19}, {9,20}, {1,24} }; // ETB36.52 (= ET36.70) // Bipartite(12,24) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 412782428160000 EdgesBipt[36][52]:={ {9,13}, {5,32}, {11,15}, {3,15}, {8,31}, {10,22}, {11,23}, {4,14}, {3,29}, {2,22}, {6,36}, {6,17}, {12,16}, {5,35}, {1,25}, {4,16}, {6,13}, {12,17}, {7,33}, {5,24}, {6,32}, {6,25}, {12,33}, {9,19}, {9,21}, {11,16}, {8,34}, {9,31}, {12,25}, {3,31}, {2,19}, {2,18}, {2,15}, {8,14}, {4,26}, {9,17}, {10,18}, {3,19}, {10,30}, {1,29}, {8,22}, {8,15}, {12,21}, {1,34}, {2,14}, {5,23}, {4,20}, {10,34}, {9,27}, {2,31}, {2,23}, {10,36}, {7,26}, {1,17}, {3,13}, {1,22}, {6,33}, {6,21}, {8,18}, {4,28}, {7,29}, {10,16}, {7,25}, {5,19}, {9,23}, {10,24}, {5,15}, {8,35}, {8,26}, {7,13}, {3,23}, {7,14}, {11,28}, {3,27}, {2,34}, {4,30}, {12,28}, {4,36}, {7,30}, {2,35}, {5,28}, {12,29}, {9,25}, {9,15}, {1,26}, {8,19}, {6,29}, {12,24}, {9,33}, {2,27}, {11,36}, {3,35}, {5,27}, {8,27}, {9,35}, {10,28}, {11,19}, {7,18}, {5,20}, {4,22}, {10,14}, {11,31}, {5,36}, {5,31}, {12,36}, {8,23}, {6,16}, {6,20}, {3,21}, {1,14}, {11,27}, {4,32}, {7,22}, {11,32}, {1,13}, {4,18}, {3,25}, {9,29}, {2,26}, {10,32}, {7,21}, {11,20}, {1,33}, {12,32}, {3,17}, {10,20}, {6,24}, {8,30}, {10,26}, {4,34}, {7,34}, {3,33}, {7,17}, {11,24}, {1,30}, {5,16}, {11,35}, {2,30}, {1,21}, {1,18}, {12,20}, {4,24}, {12,13}, {6,28} }; // ETB36.53 (= ET36.71) // Bipartite(12,24) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5944066965504 EdgesBipt[36][53]:={ {1,15}, {4,35}, {9,13}, {10,19}, {11,15}, {3,15}, {11,17}, {8,24}, {10,22}, {11,23}, {9,30}, {3,29}, {2,22}, {6,14}, {5,30}, {11,33}, {1,31}, {12,16}, {8,36}, {11,29}, {2,20}, {1,25}, {4,16}, {6,13}, {12,17}, {7,33}, {12,22}, {5,24}, {3,32}, {6,32}, {6,25}, {7,27}, {9,19}, {9,21}, {12,18}, {7,23}, {7,15}, {5,13}, {8,34}, {2,28}, {9,31}, {6,34}, {2,19}, {6,22}, {5,21}, {8,22}, {12,30}, {2,14}, {5,33}, {10,34}, {9,27}, {2,31}, {7,26}, {8,28}, {1,36}, {10,25}, {2,16}, {2,32}, {12,34}, {10,13}, {8,18}, {4,28}, {7,29}, {3,14}, {2,13}, {10,31}, {4,29}, {10,16}, {5,19}, {5,15}, {7,20}, {8,35}, {3,23}, {8,17}, {7,14}, {3,27}, {2,34}, {4,30}, {6,26}, {1,19}, {12,28}, {4,36}, {4,17}, {12,29}, {12,35}, {9,25}, {9,15}, {11,26}, {11,14}, {7,35}, {12,24}, {12,23}, {6,31}, {9,33}, {6,19}, {3,35}, {5,27}, {10,28}, {4,22}, {10,14}, {5,36}, {3,26}, {8,16}, {5,31}, {9,24}, {12,36}, {8,23}, {6,16}, {6,20}, {11,21}, {3,21}, {9,18}, {11,27}, {1,27}, {11,32}, {1,13}, {4,18}, {7,32}, {2,26}, {10,32}, {3,20}, {7,21}, {11,20}, {1,33}, {2,25}, {3,17}, {10,20}, {5,18}, {8,30}, {9,36}, {10,26}, {4,34}, {3,33}, {7,17}, {4,23}, {1,30}, {11,35}, {1,21}, {1,18}, {5,25}, {4,24}, {1,24}, {8,29}, {6,28} }; // ETB36.54 (= ET36.72) // Bipartite(12,24) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5159780352 EdgesBipt[36][54]:={ {11,17}, {3,33}, {10,25}, {5,17}, {2,24}, {6,32}, {6,16}, {4,27}, {7,15}, {11,35}, {4,26}, {11,25}, {2,23}, {1,13}, {12,22}, {12,32}, {8,28}, {1,32}, {3,13}, {3,25}, {3,15}, {10,26}, {2,15}, {4,19}, {7,22}, {10,33}, {2,26}, {1,21}, {11,14}, {12,35}, {2,28}, {1,30}, {8,15}, {8,31}, {6,22}, {3,18}, {3,17}, {8,16}, {3,34}, {11,33}, {2,34}, {2,36}, {5,22}, {9,29}, {9,26}, {12,20}, {12,36}, {5,29}, {5,25}, {11,13}, {7,32}, {1,31}, {11,22}, {7,13}, {10,28}, {1,22}, {6,30}, {4,33}, {12,16}, {9,34}, {2,20}, {1,29}, {7,30}, {2,16}, {11,21}, {4,35}, {9,25}, {7,16}, {8,36}, {2,32}, {1,23}, {11,29}, {6,24}, {5,30}, {11,30}, {12,28}, {5,14}, {7,14}, {4,28}, {3,29}, {3,26}, {8,26}, {7,31}, {4,36}, {9,13}, {12,27}, {8,32}, {1,24}, {6,27}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {3,21}, {6,19}, {7,29}, {1,15}, {6,28}, {6,14}, {10,35}, {7,23}, {6,36}, {8,34}, {5,33}, {9,18}, {10,17}, {11,27}, {10,27}, {4,34}, {10,36}, {1,16}, {10,34}, {9,17}, {10,18}, {8,24}, {2,31}, {9,33}, {5,27}, {8,18}, {4,18}, {11,19}, {10,19}, {4,25}, {4,20}, {5,13}, {8,20}, {12,24}, {7,24}, {3,31}, {1,14}, {10,20}, {5,19}, {6,20}, {5,21}, {9,15}, {5,35}, {2,18}, {9,31}, {4,17}, {6,35}, {9,21}, {9,23}, {7,21} }; // ETB36.55 (= ET36.73) // Bipartite(12,24) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 322486272 EdgesBipt[36][55]:={ {11,17}, {3,33}, {10,25}, {2,24}, {10,24}, {9,28}, {4,27}, {7,15}, {11,35}, {5,34}, {4,24}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {12,22}, {12,32}, {4,29}, {3,25}, {3,15}, {2,15}, {4,19}, {2,19}, {10,33}, {2,27}, {5,20}, {7,34}, {1,21}, {2,28}, {12,34}, {1,30}, {8,15}, {9,35}, {8,31}, {8,27}, {3,17}, {11,33}, {6,31}, {1,17}, {2,36}, {4,22}, {8,19}, {1,18}, {3,14}, {9,27}, {12,20}, {12,36}, {5,29}, {9,19}, {8,14}, {11,15}, {7,32}, {11,13}, {7,13}, {9,14}, {10,28}, {11,31}, {2,35}, {1,22}, {12,16}, {4,21}, {10,29}, {10,21}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {11,21}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {11,23}, {11,29}, {12,28}, {8,22}, {8,35}, {9,20}, {4,13}, {1,33}, {10,13}, {6,23}, {5,28}, {8,26}, {12,26}, {9,22}, {7,31}, {6,15}, {6,26}, {12,30}, {3,23}, {8,23}, {10,32}, {12,14}, {5,36}, {1,25}, {7,29}, {6,28}, {9,30}, {3,16}, {7,23}, {6,36}, {3,30}, {8,34}, {10,17}, {3,24}, {11,27}, {1,26}, {10,36}, {4,14}, {9,17}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {11,19}, {5,13}, {12,24}, {7,24}, {3,31}, {1,14}, {10,20}, {5,19}, {6,20}, {5,21}, {5,35}, {1,34}, {7,21}, {4,32}, {12,18}, {7,18}, {10,16} }; // ETB36.56 (= ET36.74) // Bipartite(12,24) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 589824 EdgesBipt[36][56]:={ {3,33}, {10,25}, {1,20}, {10,24}, {6,32}, {5,34}, {4,26}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {12,22}, {4,29}, {1,32}, {8,33}, {4,19}, {7,22}, {4,31}, {2,19}, {10,33}, {5,20}, {7,34}, {7,36}, {2,28}, {12,34}, {5,32}, {8,15}, {9,35}, {4,23}, {8,27}, {10,15}, {3,18}, {6,29}, {3,17}, {6,21}, {2,25}, {11,33}, {1,17}, {5,22}, {4,22}, {3,14}, {9,32}, {9,26}, {9,27}, {12,36}, {8,14}, {11,15}, {11,13}, {11,22}, {7,13}, {9,14}, {7,25}, {11,31}, {10,28}, {2,35}, {1,22}, {12,16}, {5,23}, {10,31}, {3,20}, {10,21}, {2,13}, {2,20}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {4,35}, {7,16}, {2,32}, {6,33}, {6,24}, {11,30}, {12,28}, {8,35}, {5,14}, {9,20}, {1,28}, {4,13}, {10,13}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {6,15}, {2,17}, {12,27}, {8,21}, {5,31}, {6,27}, {12,19}, {12,30}, {8,23}, {3,21}, {1,25}, {12,15}, {9,30}, {7,28}, {6,36}, {3,30}, {9,18}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {4,34}, {10,36}, {1,16}, {4,14}, {2,31}, {9,36}, {5,26}, {8,18}, {11,19}, {10,19}, {4,25}, {12,24}, {7,24}, {9,24}, {1,14}, {7,33}, {12,31}, {11,34}, {5,19}, {6,20}, {9,15}, {5,35}, {1,34}, {4,17}, {6,35}, {3,36}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB36.57 (= ET36.75) // Bipartite(12,24) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2359296 EdgesBipt[36][57]:={ {1,15}, {4,35}, {9,13}, {10,19}, {5,32}, {11,15}, {5,14}, {8,31}, {11,23}, {9,30}, {12,19}, {3,29}, {6,36}, {1,31}, {6,17}, {4,27}, {10,27}, {6,23}, {5,34}, {7,33}, {12,31}, {12,22}, {5,24}, {3,32}, {2,33}, {7,27}, {11,16}, {12,18}, {3,30}, {11,22}, {7,23}, {7,15}, {5,13}, {3,34}, {2,19}, {2,18}, {5,26}, {8,14}, {9,17}, {5,21}, {1,29}, {3,18}, {8,15}, {7,28}, {1,34}, {11,34}, {12,30}, {2,14}, {5,33}, {2,31}, {2,23}, {10,36}, {8,28}, {1,17}, {10,25}, {1,22}, {6,33}, {6,21}, {12,34}, {10,13}, {8,18}, {2,13}, {10,15}, {10,31}, {4,29}, {7,25}, {3,22}, {10,24}, {7,20}, {8,26}, {7,13}, {11,28}, {4,30}, {1,19}, {4,17}, {2,35}, {12,35}, {9,25}, {4,15}, {4,25}, {10,29}, {1,26}, {8,19}, {11,26}, {6,29}, {11,14}, {7,35}, {12,24}, {12,23}, {6,31}, {5,22}, {6,19}, {11,36}, {2,21}, {8,27}, {5,20}, {4,22}, {8,32}, {9,28}, {3,28}, {5,36}, {8,16}, {9,24}, {12,36}, {8,20}, {7,16}, {6,16}, {9,26}, {3,21}, {1,14}, {9,18}, {10,17}, {11,27}, {1,27}, {3,16}, {4,18}, {7,32}, {9,29}, {2,26}, {10,32}, {3,20}, {7,21}, {1,33}, {2,25}, {9,14}, {12,32}, {3,17}, {10,20}, {6,35}, {6,24}, {8,30}, {9,36}, {4,34}, {9,16}, {3,33}, {4,23}, {11,24}, {11,35}, {4,13}, {1,21}, {2,30}, {12,20}, {5,25}, {6,28} }; // ETB36.58 (= ET36.76) // Bipartite(12,24) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2359296 EdgesBipt[36][58]:={ {11,15}, {8,24}, {8,31}, {12,26}, {10,22}, {11,23}, {12,19}, {3,29}, {5,30}, {6,36}, {4,27}, {12,16}, {10,27}, {8,36}, {5,35}, {6,23}, {2,20}, {12,17}, {7,33}, {12,31}, {12,14}, {5,24}, {3,32}, {2,33}, {6,32}, {12,33}, {9,21}, {11,16}, {12,18}, {1,32}, {7,23}, {5,13}, {8,34}, {2,19}, {2,15}, {8,14}, {9,17}, {8,22}, {12,21}, {1,34}, {12,30}, {2,14}, {5,23}, {4,20}, {10,34}, {9,27}, {2,31}, {10,36}, {8,33}, {1,36}, {3,13}, {10,25}, {1,22}, {2,32}, {1,16}, {10,13}, {8,21}, {9,34}, {2,13}, {10,15}, {4,29}, {7,25}, {5,19}, {9,23}, {10,24}, {7,20}, {8,35}, {8,26}, {7,13}, {5,29}, {4,31}, {11,28}, {4,30}, {6,15}, {11,18}, {12,28}, {7,30}, {4,17}, {12,29}, {4,15}, {9,15}, {10,29}, {1,26}, {8,19}, {11,26}, {11,14}, {7,35}, {6,31}, {9,33}, {11,13}, {2,27}, {6,19}, {2,21}, {9,35}, {7,18}, {4,22}, {9,28}, {10,14}, {3,28}, {5,36}, {3,24}, {5,17}, {5,31}, {11,25}, {8,23}, {6,16}, {6,20}, {3,21}, {1,14}, {11,30}, {10,17}, {11,27}, {4,32}, {1,20}, {7,22}, {3,16}, {4,18}, {7,32}, {3,25}, {9,29}, {2,26}, {3,20}, {7,21}, {2,25}, {1,28}, {3,36}, {3,17}, {6,35}, {6,24}, {5,18}, {10,26}, {4,34}, {6,27}, {9,16}, {7,34}, {3,33}, {1,30}, {11,35}, {1,18}, {5,25}, {4,19}, {1,24}, {6,28}, {9,22} }; // ETB36.59 (= ET36.77) // Bipartite(18,18) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 10368 EdgesBipt[36][59]:={ {10,25}, {1,20}, {2,24}, {10,24}, {11,20}, {13,32}, {2,33}, {11,36}, {12,29}, {11,35}, {4,24}, {16,33}, {4,26}, {3,22}, {18,32}, {4,30}, {16,27}, {8,30}, {12,22}, {12,32}, {8,28}, {16,31}, {4,29}, {1,32}, {3,25}, {10,23}, {10,26}, {17,34}, {4,19}, {16,19}, {7,22}, {2,19}, {10,33}, {2,27}, {1,19}, {3,35}, {5,20}, {13,35}, {2,26}, {14,31}, {7,34}, {1,21}, {17,24}, {16,25}, {12,35}, {18,21}, {8,25}, {2,28}, {12,34}, {1,30}, {5,32}, {9,35}, {4,23}, {8,31}, {13,29}, {16,29}, {15,25}, {11,28}, {10,30}, {6,29}, {6,21}, {3,34}, {2,25}, {14,23}, {6,31}, {14,33}, {2,36}, {5,22}, {4,22}, {8,19}, {9,29}, {7,20}, {9,32}, {14,21}, {15,32}, {9,26}, {18,20}, {9,27}, {12,20}, {9,19}, {14,30}, {5,25}, {15,26}, {17,23}, {1,31}, {11,22}, {7,25}, {10,28}, {14,24}, {17,33}, {6,30}, {5,23}, {10,31}, {13,22}, {15,19}, {10,21}, {2,20}, {13,31}, {18,30}, {11,21}, {4,35}, {8,36}, {6,33}, {2,32}, {7,26}, {1,23}, {11,29}, {17,30}, {11,30}, {5,24}, {12,25}, {8,22}, {15,34}, {13,25}, {18,24}, {8,35}, {13,28}, {15,20}, {9,20}, {18,26}, {18,27}, {3,27}, {18,36}, {4,28}, {1,33}, {3,29}, {13,36}, {15,36}, {17,31}, {16,22}, {12,33}, {13,30}, {17,28}, {8,32}, {8,21}, {12,23}, {13,24}, {6,27}, {5,31}, {17,25}, {12,19}, {6,26}, {3,23}, {8,23}, {14,34}, {10,32}, {17,29}, {5,36}, {3,21}, {17,19}, {6,19}, {7,29}, {6,28}, {18,23}, {9,30}, {13,27}, {1,35}, {14,20}, {15,21}, {16,34}, {16,21}, {7,28}, {11,26}, {7,23}, {13,19}, {16,36}, {6,36}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {11,27}, {16,35}, {18,28}, {10,27}, {1,26}, {2,22}, {4,34}, {10,36}, {15,22}, {18,22}, {15,33}, {16,20}, {6,25}, {9,33}, {9,36}, {6,34}, {5,27}, {15,28}, {11,19}, {4,20}, {12,24}, {3,28}, {7,27}, {14,35}, {15,23}, {7,24}, {3,31}, {9,24}, {17,26}, {7,33}, {12,31}, {11,34}, {5,21}, {5,35}, {9,31}, {1,34}, {17,32}, {18,35}, {7,21}, {14,27}, {4,32}, {1,36}, {14,29}, {14,26} }; // ETB36.60 (= ET36.78) // Bipartite(18,18) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 4320 EdgesBipt[36][60]:={ {10,24}, {1,20}, {2,24}, {2,33}, {6,32}, {11,36}, {4,27}, {12,29}, {13,21}, {5,34}, {4,24}, {14,19}, {15,24}, {3,22}, {18,32}, {4,30}, {11,25}, {16,27}, {8,30}, {2,23}, {12,32}, {8,28}, {16,31}, {15,31}, {4,29}, {3,25}, {10,23}, {10,26}, {17,20}, {17,34}, {4,19}, {16,19}, {4,31}, {2,19}, {2,27}, {5,20}, {13,35}, {2,26}, {14,31}, {7,34}, {16,25}, {12,35}, {7,36}, {17,21}, {18,21}, {8,25}, {12,34}, {1,30}, {5,32}, {16,23}, {9,35}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {16,29}, {10,22}, {6,22}, {15,25}, {3,34}, {11,33}, {2,34}, {14,33}, {5,22}, {8,19}, {7,20}, {9,32}, {14,21}, {15,32}, {16,24}, {12,20}, {5,29}, {9,19}, {5,25}, {15,26}, {17,23}, {1,31}, {11,22}, {7,25}, {11,31}, {10,28}, {2,35}, {17,33}, {1,22}, {15,27}, {4,33}, {4,21}, {10,31}, {3,20}, {9,34}, {13,22}, {10,21}, {1,29}, {18,30}, {3,32}, {11,21}, {7,26}, {6,33}, {2,32}, {1,23}, {11,29}, {5,30}, {17,30}, {11,30}, {5,24}, {17,27}, {13,23}, {12,28}, {12,25}, {8,22}, {15,34}, {18,24}, {13,28}, {15,20}, {9,20}, {18,26}, {1,28}, {3,27}, {18,36}, {4,28}, {1,33}, {18,33}, {6,23}, {13,36}, {15,36}, {8,26}, {18,31}, {16,22}, {9,22}, {12,33}, {13,30}, {4,36}, {17,28}, {8,32}, {3,19}, {12,23}, {14,22}, {13,24}, {6,27}, {5,31}, {12,19}, {6,26}, {12,30}, {8,23}, {18,19}, {10,32}, {18,25}, {17,29}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {1,35}, {14,20}, {16,34}, {14,25}, {7,28}, {13,26}, {11,26}, {10,35}, {13,19}, {16,36}, {6,36}, {2,21}, {3,30}, {3,24}, {2,29}, {11,27}, {16,35}, {18,28}, {10,27}, {1,26}, {10,36}, {14,32}, {15,33}, {16,20}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {5,26}, {11,19}, {4,20}, {12,24}, {3,28}, {7,27}, {14,35}, {15,23}, {7,24}, {10,20}, {17,26}, {7,33}, {13,34}, {11,34}, {7,35}, {17,22}, {5,21}, {15,30}, {5,35}, {9,31}, {6,35}, {17,32}, {9,21}, {3,36}, {18,35}, {9,23}, {7,21}, {14,27}, {8,29}, {1,36}, {14,29} }; // ETB36.61 (= ET36.79) // Bipartite(18,18) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 1671768834048000000 EdgesBipt[36][61]:={ {3,33}, {10,25}, {10,24}, {11,20}, {6,32}, {17,35}, {4,27}, {12,29}, {13,21}, {11,35}, {5,34}, {4,24}, {14,19}, {15,24}, {16,33}, {18,29}, {18,32}, {4,30}, {11,25}, {16,27}, {2,23}, {12,32}, {8,28}, {16,31}, {1,27}, {17,20}, {17,34}, {4,19}, {16,19}, {7,22}, {4,31}, {2,19}, {10,33}, {1,19}, {3,35}, {5,20}, {2,26}, {14,31}, {7,34}, {1,21}, {16,25}, {12,35}, {7,36}, {18,21}, {8,25}, {2,28}, {1,30}, {5,32}, {9,35}, {14,28}, {8,31}, {10,22}, {11,28}, {10,30}, {6,29}, {16,30}, {15,29}, {6,21}, {2,25}, {14,23}, {2,34}, {5,22}, {4,22}, {8,19}, {9,29}, {9,32}, {15,32}, {16,24}, {9,26}, {18,20}, {9,27}, {12,20}, {12,36}, {5,29}, {5,25}, {15,26}, {17,23}, {1,31}, {11,22}, {7,25}, {11,31}, {10,28}, {2,35}, {1,22}, {15,27}, {6,30}, {4,33}, {5,23}, {4,21}, {10,31}, {3,20}, {13,22}, {10,21}, {2,20}, {7,30}, {13,31}, {18,30}, {3,32}, {2,32}, {6,33}, {13,33}, {11,23}, {11,29}, {6,24}, {15,35}, {8,22}, {13,25}, {18,24}, {8,35}, {13,28}, {15,20}, {9,20}, {18,26}, {1,28}, {18,27}, {3,27}, {18,36}, {4,28}, {1,33}, {18,33}, {3,29}, {6,23}, {3,26}, {5,28}, {13,36}, {15,36}, {8,26}, {17,31}, {12,26}, {16,22}, {7,31}, {12,33}, {13,30}, {4,36}, {17,28}, {12,27}, {8,32}, {1,24}, {12,23}, {14,22}, {5,31}, {6,27}, {13,24}, {17,25}, {6,26}, {12,30}, {3,23}, {8,23}, {14,34}, {17,29}, {3,21}, {17,19}, {1,25}, {18,23}, {9,30}, {13,27}, {14,20}, {15,21}, {16,34}, {14,25}, {16,21}, {7,28}, {11,26}, {13,19}, {16,36}, {6,36}, {3,30}, {8,34}, {3,24}, {2,29}, {10,27}, {2,22}, {4,34}, {10,36}, {10,34}, {11,32}, {14,32}, {15,33}, {2,31}, {9,33}, {9,36}, {5,26}, {11,19}, {10,19}, {4,25}, {12,24}, {8,20}, {7,27}, {14,35}, {15,23}, {7,24}, {9,24}, {17,26}, {7,33}, {11,34}, {13,34}, {5,19}, {6,20}, {17,22}, {15,30}, {5,35}, {1,34}, {7,19}, {6,35}, {17,32}, {9,21}, {3,36}, {16,28}, {18,35}, {9,23}, {7,21}, {8,29}, {12,21}, {1,36}, {14,29}, {14,26} }; // ETB36.62 (= ET36.80) // Bipartite(18,18) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1719926784 EdgesBipt[36][62]:={ {3,33}, {10,25}, {1,20}, {10,24}, {11,20}, {11,36}, {17,36}, {12,29}, {13,21}, {5,34}, {4,24}, {14,19}, {15,24}, {16,33}, {18,29}, {3,22}, {11,25}, {8,30}, {2,23}, {8,28}, {16,31}, {15,31}, {4,29}, {3,25}, {10,23}, {17,20}, {17,34}, {4,19}, {16,19}, {7,22}, {4,31}, {2,19}, {10,33}, {2,27}, {1,19}, {3,35}, {5,20}, {13,35}, {2,26}, {14,31}, {1,21}, {16,25}, {12,35}, {17,21}, {18,21}, {2,28}, {12,34}, {1,30}, {5,32}, {16,23}, {9,35}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {16,29}, {18,34}, {10,22}, {15,25}, {11,28}, {6,29}, {6,21}, {3,34}, {14,23}, {2,36}, {4,22}, {8,19}, {7,20}, {9,32}, {14,21}, {14,36}, {15,32}, {16,24}, {9,26}, {18,20}, {9,27}, {12,20}, {12,36}, {5,29}, {14,30}, {5,25}, {15,26}, {17,23}, {1,31}, {10,28}, {2,35}, {1,22}, {15,27}, {6,30}, {4,33}, {5,23}, {10,29}, {10,31}, {9,34}, {13,22}, {1,29}, {7,30}, {13,31}, {18,30}, {3,32}, {11,21}, {9,25}, {8,36}, {6,33}, {2,32}, {7,26}, {13,33}, {16,32}, {11,23}, {11,29}, {6,24}, {5,30}, {17,30}, {11,30}, {15,35}, {17,27}, {12,25}, {8,22}, {15,34}, {18,24}, {8,35}, {13,28}, {18,26}, {1,28}, {18,27}, {3,27}, {18,36}, {4,28}, {1,33}, {18,33}, {3,26}, {5,28}, {15,36}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {12,33}, {13,30}, {17,28}, {12,27}, {8,32}, {8,21}, {1,24}, {14,22}, {6,27}, {13,24}, {17,25}, {6,26}, {12,30}, {3,23}, {8,23}, {10,32}, {18,25}, {17,29}, {5,36}, {17,19}, {7,29}, {1,35}, {16,34}, {7,28}, {13,26}, {13,19}, {6,36}, {2,21}, {3,24}, {11,27}, {1,26}, {2,22}, {4,34}, {10,34}, {15,22}, {11,32}, {14,32}, {15,33}, {16,20}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {5,27}, {11,19}, {10,19}, {4,25}, {4,20}, {12,24}, {14,35}, {15,23}, {7,24}, {3,31}, {9,24}, {10,20}, {7,33}, {11,34}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {13,20}, {9,31}, {7,19}, {6,35}, {17,32}, {3,36}, {16,28}, {18,35}, {9,23}, {7,21}, {14,27}, {4,32}, {12,21}, {14,26} }; // ETB36.63 (= ET36.81) // Bipartite(18,18) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 56623104 EdgesBipt[36][63]:={ {3,33}, {10,25}, {10,24}, {11,20}, {13,32}, {6,32}, {17,35}, {4,27}, {12,29}, {13,21}, {11,35}, {5,34}, {14,19}, {16,33}, {18,29}, {3,22}, {18,32}, {4,30}, {11,25}, {16,27}, {8,30}, {2,23}, {12,22}, {15,31}, {4,29}, {8,33}, {1,27}, {17,20}, {17,34}, {16,19}, {4,31}, {2,19}, {10,33}, {1,19}, {3,35}, {2,26}, {7,34}, {1,21}, {17,24}, {16,25}, {12,35}, {7,36}, {17,21}, {18,21}, {8,25}, {2,28}, {1,30}, {5,32}, {16,23}, {9,35}, {14,28}, {4,23}, {8,31}, {13,29}, {16,29}, {10,22}, {6,22}, {11,28}, {10,30}, {6,21}, {14,23}, {2,25}, {6,31}, {2,34}, {14,33}, {4,22}, {9,29}, {7,20}, {14,21}, {9,32}, {15,32}, {16,24}, {9,26}, {18,20}, {9,27}, {12,20}, {12,36}, {14,30}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {7,25}, {11,31}, {10,28}, {14,24}, {2,35}, {17,33}, {1,22}, {15,27}, {6,30}, {5,23}, {4,21}, {10,31}, {3,20}, {13,22}, {15,19}, {10,21}, {2,20}, {13,31}, {18,30}, {2,32}, {16,32}, {11,23}, {11,29}, {5,30}, {17,30}, {15,35}, {5,24}, {13,23}, {12,28}, {8,22}, {13,25}, {18,24}, {8,35}, {9,20}, {18,26}, {1,28}, {18,27}, {3,27}, {18,36}, {1,33}, {18,33}, {3,29}, {6,23}, {3,26}, {5,28}, {13,36}, {15,36}, {8,26}, {17,31}, {12,26}, {12,33}, {13,30}, {4,36}, {12,27}, {8,21}, {3,19}, {1,24}, {6,27}, {17,25}, {12,19}, {6,26}, {14,34}, {17,29}, {1,25}, {6,19}, {7,29}, {6,28}, {18,23}, {9,30}, {13,27}, {15,21}, {16,34}, {14,25}, {7,28}, {11,26}, {7,23}, {16,36}, {6,36}, {8,34}, {5,33}, {3,24}, {2,29}, {10,27}, {2,22}, {4,34}, {10,36}, {10,34}, {15,22}, {11,32}, {14,32}, {16,20}, {8,24}, {2,31}, {9,33}, {9,36}, {5,26}, {15,28}, {11,19}, {10,19}, {4,25}, {4,20}, {12,24}, {8,20}, {3,28}, {7,27}, {14,35}, {15,23}, {7,24}, {3,31}, {9,24}, {17,26}, {7,33}, {12,31}, {13,34}, {11,34}, {5,19}, {17,22}, {5,21}, {15,30}, {13,20}, {5,35}, {1,34}, {7,19}, {6,35}, {9,21}, {3,36}, {16,28}, {18,35}, {9,23}, {8,29}, {4,32}, {1,36}, {14,26} }; // ETB36.64 (= ET36.87) // Bipartite(8,28) Valencies [14,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[36][64]:={ {7,19}, {5,32}, {6,12}, {3,15}, {8,24}, {6,18}, {2,22}, {6,14}, {5,30}, {5,35}, {7,24}, {6,23}, {2,20}, {4,16}, {6,13}, {5,24}, {3,32}, {1,9}, {6,25}, {7,27}, {3,30}, {1,32}, {7,23}, {7,15}, {8,34}, {3,34}, {2,18}, {6,9}, {5,26}, {4,26}, {8,14}, {3,19}, {8,22}, {7,28}, {5,33}, {3,11}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {8,33}, {8,28}, {1,36}, {3,13}, {1,22}, {2,32}, {6,33}, {1,16}, {6,21}, {2,36}, {2,17}, {8,10}, {8,18}, {7,29}, {3,14}, {2,13}, {1,12}, {4,29}, {8,35}, {4,31}, {3,27}, {2,34}, {6,15}, {1,19}, {8,11}, {4,36}, {4,21}, {7,30}, {4,17}, {4,15}, {1,35}, {1,26}, {6,29}, {7,35}, {6,31}, {4,11}, {1,23}, {2,21}, {5,27}, {7,18}, {8,9}, {4,22}, {3,28}, {3,26}, {5,31}, {5,17}, {8,20}, {6,16}, {3,21}, {1,14}, {5,11}, {1,13}, {5,10}, {8,25}, {3,20}, {5,12}, {2,25}, {1,28}, {4,9}, {6,27}, {3,33}, {7,34}, {7,36}, {7,17}, {7,12}, {5,16}, {2,30}, {5,25}, {4,19}, {4,24}, {8,29} }; // ETB36.65 (= ET36.88) // Bipartite(8,28) Valencies [14,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 82590884167680000 EdgesBipt[36][65]:={ {4,35}, {7,19}, {5,32}, {3,15}, {8,31}, {6,10}, {6,18}, {4,14}, {2,22}, {6,14}, {4,27}, {6,17}, {7,24}, {1,25}, {6,13}, {5,24}, {3,32}, {1,9}, {2,33}, {6,25}, {7,31}, {7,27}, {1,32}, {7,15}, {7,23}, {5,13}, {8,34}, {3,31}, {6,34}, {2,18}, {6,9}, {4,26}, {8,14}, {5,9}, {6,22}, {7,11}, {5,21}, {2,29}, {3,19}, {1,29}, {8,22}, {7,28}, {8,15}, {2,14}, {5,33}, {3,11}, {2,10}, {1,36}, {1,17}, {6,33}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {2,13}, {1,12}, {7,20}, {8,35}, {8,26}, {3,23}, {5,29}, {4,31}, {3,27}, {2,34}, {4,30}, {6,26}, {8,11}, {5,28}, {4,15}, {2,9}, {8,19}, {6,29}, {7,35}, {4,11}, {3,35}, {2,21}, {6,30}, {8,27}, {5,20}, {4,22}, {3,28}, {5,36}, {3,24}, {5,17}, {3,12}, {8,23}, {7,16}, {1,20}, {3,16}, {1,13}, {4,18}, {7,32}, {2,26}, {3,20}, {1,33}, {5,12}, {2,25}, {1,28}, {3,36}, {8,30}, {4,34}, {7,36}, {4,23}, {5,16}, {7,12}, {2,30}, {1,21}, {5,25}, {4,19}, {4,10}, {1,24} }; // ETB36.66 (= ET36.89) // Bipartite(8,28) Valencies [14,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 22020096 EdgesBipt[36][66]:={ {4,35}, {7,19}, {5,14}, {3,15}, {8,24}, {3,29}, {6,36}, {4,27}, {6,17}, {2,11}, {8,36}, {7,24}, {6,23}, {2,20}, {6,13}, {7,33}, {3,32}, {1,9}, {6,25}, {7,31}, {1,32}, {8,34}, {3,10}, {2,28}, {6,34}, {2,18}, {6,9}, {2,15}, {5,26}, {4,26}, {8,14}, {7,11}, {6,22}, {5,9}, {2,29}, {3,19}, {4,12}, {3,18}, {8,22}, {7,28}, {7,10}, {2,14}, {5,33}, {3,11}, {5,23}, {4,20}, {6,11}, {2,23}, {8,28}, {3,13}, {2,32}, {1,16}, {8,10}, {8,18}, {1,12}, {4,29}, {7,25}, {3,22}, {5,19}, {5,15}, {8,26}, {5,29}, {7,14}, {4,31}, {3,27}, {2,34}, {1,19}, {4,21}, {7,30}, {4,17}, {2,35}, {5,28}, {4,15}, {2,9}, {1,35}, {1,26}, {7,35}, {6,31}, {5,22}, {1,23}, {2,21}, {6,30}, {8,32}, {5,36}, {3,24}, {5,17}, {5,31}, {8,16}, {8,20}, {7,16}, {6,20}, {6,16}, {1,27}, {1,13}, {3,25}, {7,21}, {1,33}, {5,12}, {2,25}, {3,36}, {8,30}, {4,34}, {6,27}, {3,33}, {7,17}, {1,30}, {4,13}, {1,21}, {1,18}, {4,10}, {4,24}, {8,12} }; // ETB36.67 (= ET36.90) // Bipartite(15,21) Valencies [14,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1327353495552000000 EdgesBipt[36][67]:={ {11,17}, {3,33}, {10,25}, {1,20}, {5,17}, {2,24}, {11,20}, {9,28}, {13,32}, {2,33}, {6,16}, {11,36}, {11,35}, {15,24}, {4,26}, {3,22}, {4,16}, {8,30}, {2,23}, {12,22}, {15,31}, {4,29}, {1,32}, {8,33}, {3,25}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {13,35}, {2,26}, {7,34}, {12,34}, {5,32}, {4,23}, {8,27}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {6,21}, {3,34}, {14,23}, {6,31}, {11,33}, {14,33}, {1,17}, {2,36}, {4,22}, {7,20}, {14,21}, {14,36}, {9,27}, {12,36}, {5,29}, {9,19}, {14,30}, {7,32}, {1,31}, {7,25}, {10,28}, {14,24}, {2,35}, {1,22}, {15,27}, {6,30}, {12,16}, {5,23}, {10,29}, {10,31}, {9,34}, {13,22}, {15,19}, {2,20}, {6,18}, {1,29}, {8,17}, {13,31}, {11,21}, {4,35}, {9,25}, {7,16}, {8,36}, {6,33}, {2,32}, {7,26}, {5,18}, {11,23}, {1,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {13,23}, {12,28}, {12,25}, {15,34}, {13,25}, {8,35}, {13,28}, {1,28}, {3,27}, {4,28}, {15,36}, {8,26}, {9,22}, {7,31}, {12,33}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {6,27}, {11,24}, {12,19}, {12,30}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {1,35}, {14,20}, {15,21}, {7,28}, {3,16}, {11,26}, {13,26}, {15,18}, {10,35}, {7,23}, {13,19}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {1,26}, {4,34}, {1,16}, {10,34}, {15,22}, {11,32}, {14,32}, {15,33}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {15,28}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {14,35}, {3,31}, {9,24}, {10,20}, {12,31}, {13,34}, {7,35}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {5,35}, {2,18}, {9,31}, {1,34}, {7,19}, {4,17}, {9,21}, {9,16}, {3,36}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {10,16} }; // ETB36.68 (= ET36.93) // Bipartite(6,30) Valencies [15,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3627970560 EdgesBipt[36][68]:={ {4,35}, {5,32}, {6,18}, {1,11}, {3,29}, {6,14}, {5,30}, {6,36}, {4,8}, {4,27}, {3,7}, {1,31}, {2,11}, {5,35}, {2,20}, {3,32}, {1,9}, {2,33}, {6,25}, {5,13}, {2,28}, {3,34}, {6,34}, {2,18}, {6,9}, {5,26}, {3,19}, {1,29}, {4,12}, {2,14}, {5,33}, {5,23}, {2,10}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {1,17}, {3,13}, {1,16}, {4,28}, {3,14}, {2,13}, {3,9}, {3,22}, {5,15}, {6,8}, {3,23}, {4,31}, {3,27}, {2,34}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {4,15}, {4,25}, {1,26}, {6,29}, {2,24}, {4,11}, {5,22}, {6,19}, {2,21}, {1,7}, {5,20}, {4,22}, {5,36}, {3,24}, {3,12}, {6,16}, {4,32}, {2,8}, {1,20}, {1,27}, {4,18}, {5,10}, {5,12}, {3,17}, {6,24}, {6,35}, {3,33}, {1,30}, {5,16}, {2,30}, {1,21}, {5,25}, {6,28} }; // ETB36.69 (= ET36.94) // Bipartite(16,20) Valencies [15,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 5760 EdgesBipt[36][69]:={ {3,33}, {10,25}, {2,24}, {10,24}, {11,20}, {9,28}, {13,32}, {11,36}, {4,27}, {12,29}, {11,35}, {5,34}, {14,19}, {15,24}, {16,26}, {16,33}, {4,26}, {3,22}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {16,31}, {15,31}, {1,27}, {3,25}, {10,23}, {10,26}, {16,19}, {7,22}, {4,31}, {2,19}, {2,27}, {10,33}, {5,20}, {2,26}, {14,31}, {7,34}, {16,25}, {12,35}, {8,25}, {2,28}, {12,34}, {1,30}, {5,32}, {9,35}, {4,23}, {8,27}, {16,29}, {3,18}, {11,28}, {6,29}, {3,17}, {16,30}, {15,29}, {6,21}, {2,25}, {14,23}, {6,31}, {11,33}, {2,34}, {14,33}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {7,20}, {9,32}, {14,21}, {14,36}, {12,17}, {15,32}, {16,24}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {14,30}, {5,25}, {7,32}, {1,31}, {11,22}, {7,25}, {10,28}, {14,24}, {2,35}, {1,22}, {15,27}, {6,30}, {4,33}, {5,23}, {10,29}, {4,21}, {13,22}, {10,21}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {13,31}, {3,32}, {11,21}, {4,35}, {9,25}, {8,36}, {6,33}, {2,32}, {13,33}, {5,18}, {16,32}, {1,23}, {11,23}, {7,17}, {11,30}, {15,35}, {13,23}, {12,28}, {8,22}, {15,34}, {13,28}, {15,20}, {9,20}, {3,27}, {4,28}, {1,33}, {15,17}, {3,29}, {5,28}, {13,36}, {15,36}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {12,33}, {13,30}, {2,17}, {4,36}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {1,35}, {14,20}, {15,21}, {16,34}, {16,21}, {13,26}, {15,18}, {10,35}, {7,23}, {13,19}, {16,36}, {6,36}, {2,21}, {8,34}, {9,18}, {10,17}, {3,24}, {11,27}, {16,35}, {1,26}, {10,36}, {10,34}, {15,22}, {9,17}, {10,18}, {14,32}, {8,24}, {6,25}, {2,31}, {9,33}, {6,34}, {5,27}, {5,26}, {15,28}, {11,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {14,35}, {3,31}, {9,24}, {10,20}, {7,33}, {12,31}, {11,34}, {13,34}, {5,19}, {6,20}, {7,35}, {2,30}, {13,17}, {15,30}, {13,20}, {5,35}, {2,18}, {1,34}, {7,19}, {4,17}, {3,36}, {16,28}, {7,21}, {14,27}, {8,29}, {4,32}, {11,18}, {1,36}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB36.70 (= ET36.95) // Bipartite(16,20) Valencies [15,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1651129712640000 EdgesBipt[36][70]:={ {10,25}, {1,20}, {5,17}, {11,20}, {9,28}, {13,32}, {2,33}, {11,36}, {4,27}, {12,29}, {13,21}, {11,35}, {5,34}, {4,24}, {14,19}, {15,24}, {16,33}, {3,22}, {16,27}, {6,17}, {2,23}, {12,32}, {8,28}, {16,31}, {15,31}, {4,29}, {1,32}, {8,33}, {10,23}, {10,26}, {4,19}, {16,19}, {7,22}, {4,31}, {2,19}, {10,33}, {2,27}, {3,35}, {5,20}, {2,26}, {14,31}, {7,34}, {1,21}, {16,25}, {12,35}, {7,36}, {8,25}, {1,30}, {5,32}, {16,23}, {4,23}, {8,31}, {8,27}, {13,29}, {16,29}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {6,21}, {3,34}, {2,25}, {14,23}, {6,31}, {2,34}, {14,33}, {1,17}, {5,22}, {8,19}, {9,29}, {1,18}, {7,20}, {9,32}, {14,21}, {12,17}, {15,32}, {16,24}, {9,26}, {12,20}, {12,36}, {5,29}, {14,30}, {5,25}, {7,32}, {15,26}, {11,22}, {11,31}, {2,35}, {1,22}, {15,27}, {6,30}, {4,33}, {4,21}, {10,29}, {10,31}, {3,20}, {9,34}, {13,22}, {15,19}, {10,21}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {3,32}, {4,35}, {9,25}, {8,36}, {6,33}, {7,26}, {13,33}, {5,18}, {16,32}, {11,23}, {5,30}, {11,30}, {15,35}, {5,24}, {12,28}, {12,25}, {15,34}, {13,25}, {8,35}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {4,28}, {1,33}, {6,23}, {3,26}, {5,28}, {13,36}, {15,36}, {9,22}, {7,31}, {12,33}, {13,30}, {2,17}, {4,36}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {3,23}, {8,23}, {14,34}, {5,36}, {1,25}, {6,19}, {9,30}, {14,25}, {16,17}, {16,21}, {7,28}, {11,26}, {13,26}, {15,18}, {10,35}, {7,23}, {16,36}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {16,35}, {10,27}, {1,26}, {2,22}, {10,34}, {15,22}, {11,32}, {9,17}, {10,18}, {16,20}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {5,26}, {15,28}, {11,19}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {14,35}, {15,23}, {7,24}, {3,31}, {9,24}, {12,31}, {11,34}, {13,34}, {7,35}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {9,21}, {3,36}, {16,28}, {14,27}, {8,29}, {4,32}, {11,18}, {1,36}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB36.71 (= ET36.96) // Bipartite(18,18) Valencies [15,15] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 3134566563840 EdgesBipt[36][71]:={ {13,21}, {15,33}, {14,36}, {6,25}, {5,22}, {11,25}, {4,28}, {8,26}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {8,21}, {3,19}, {15,27}, {1,19}, {3,23}, {8,23}, {1,21}, {3,21}, {16,28}, {5,32}, {7,30}, {13,27}, {14,29}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {4,24}, {18,32}, {4,30}, {8,30}, {9,33}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {15,19}, {16,34}, {10,35}, {4,23}, {13,26}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {2,36}, {8,22}, {18,29}, {9,36}, {9,29}, {18,26}, {4,22}, {18,33}, {18,36}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {18,20}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {17,19}, {9,30}, {14,27}, {7,28}, {8,34}, {9,25}, {10,22}, {10,30}, {16,30}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {16,26}, {12,25}, {3,22}, {18,31}, {16,31}, {6,23}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {9,21}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {9,28}, {3,34}, {2,21}, {15,29}, {2,22}, {16,20}, {18,24}, {1,33}, {18,27}, {12,36}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {5,21}, {17,21}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {15,21}, {7,26}, {11,28}, {16,35}, {10,24}, {11,20}, {10,34}, {17,27}, {8,35}, {6,21}, {15,22}, {4,26}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {4,19}, {14,22}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33} }; // ETB36.72 (= ET36.99) // Bipartite(4,32) Valencies [16,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21143266346926080000 EdgesBipt[36][72]:={ {3,32}, {2,14}, {4,23}, {1,24}, {3,12}, {2,26}, {1,29}, {2,30}, {2,29}, {1,32}, {4,34}, {2,10}, {1,33}, {4,11}, {4,10}, {1,36}, {3,27}, {2,6}, {4,7}, {1,20}, {1,12}, {4,31}, {3,8}, {3,23}, {3,24}, {2,33}, {3,20}, {2,21}, {4,6}, {4,30}, {4,18}, {3,11}, {3,16}, {3,7}, {3,28}, {1,16}, {3,15}, {2,18}, {1,21}, {4,27}, {3,19}, {2,5}, {3,31}, {1,5}, {4,15}, {1,17}, {4,22}, {1,28}, {2,17}, {1,8}, {1,13}, {2,34}, {2,9}, {1,9}, {4,26}, {2,13}, {2,25}, {4,14}, {4,35}, {4,19}, {1,25}, {2,22}, {3,36}, {3,35} }; // ETB36.73 (= ET36.100) // Bipartite(12,24) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5436839917780992000 EdgesBipt[36][73]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,25}, {11,20}, {9,28}, {2,33}, {6,16}, {11,36}, {11,35}, {4,26}, {3,22}, {4,16}, {8,30}, {2,23}, {1,13}, {12,22}, {4,29}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {2,26}, {7,34}, {11,14}, {12,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {10,22}, {6,22}, {3,18}, {6,21}, {3,34}, {6,31}, {11,33}, {1,17}, {2,36}, {4,22}, {7,20}, {9,27}, {12,36}, {5,29}, {9,19}, {8,14}, {7,32}, {11,15}, {1,31}, {7,13}, {7,25}, {10,28}, {2,35}, {1,22}, {12,13}, {6,30}, {12,16}, {5,23}, {10,29}, {10,31}, {9,34}, {2,20}, {6,18}, {1,29}, {8,17}, {11,21}, {4,35}, {9,25}, {7,16}, {8,36}, {6,33}, {2,32}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {8,35}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {10,13}, {8,26}, {9,22}, {7,31}, {12,33}, {6,15}, {2,17}, {9,13}, {12,27}, {8,32}, {8,21}, {3,19}, {6,27}, {11,24}, {12,19}, {12,30}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {12,15}, {9,30}, {1,35}, {7,28}, {3,16}, {11,26}, {10,35}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {1,26}, {4,34}, {1,16}, {4,14}, {10,34}, {11,32}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {3,31}, {9,24}, {1,14}, {10,20}, {5,15}, {12,31}, {10,14}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {2,18}, {9,31}, {1,34}, {7,19}, {4,17}, {9,21}, {9,16}, {3,36}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {10,16} }; // ETB36.74 (= ET36.101) // Bipartite(18,18) Valencies [16,16] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 190253629440 EdgesBipt[36][74]:={ {13,21}, {15,33}, {14,36}, {9,32}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {16,22}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {1,21}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {2,34}, {12,28}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {12,20}, {12,26}, {13,30}, {10,26}, {17,20}, {7,33}, {12,31}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {15,19}, {16,34}, {10,35}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {2,36}, {8,22}, {18,29}, {9,36}, {9,29}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {5,27}, {15,28}, {5,28}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {6,27}, {2,30}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {11,33}, {18,22}, {13,25}, {14,21}, {9,26}, {18,20}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {18,31}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {11,30}, {3,34}, {2,21}, {4,27}, {5,24}, {15,29}, {16,20}, {18,24}, {14,19}, {1,33}, {18,27}, {12,36}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {17,34}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {16,19}, {5,36}, {9,34}, {10,32}, {12,35}, {6,35}, {17,32}, {12,19}, {8,25}, {16,32}, {6,33}, {2,32}, {18,34}, {11,26}, {5,33}, {5,30} }; // ETB36.75 (= ET36.103) // Bipartite(18,18) Valencies [17,17] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 12804747411456000 EdgesBipt[36][75]:={ {13,21}, {15,33}, {14,36}, {9,32}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {1,21}, {3,21}, {16,28}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {12,20}, {12,26}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {15,19}, {1,29}, {16,34}, {10,35}, {4,23}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {2,36}, {8,22}, {6,34}, {9,29}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {8,24}, {14,21}, {9,26}, {18,20}, {3,29}, {17,31}, {13,36}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {18,31}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {15,29}, {2,22}, {16,20}, {18,24}, {2,31}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {17,21}, {6,28}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,28}, {1,23}, {16,35}, {11,20}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {16,19}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {15,25}, {5,33}, {5,30} }; // ETB36.76 (= ET36.105) // Bipartite(9,27) Valencies [18,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[36][76]:={ {3,33}, {5,17}, {1,20}, {9,28}, {6,32}, {6,16}, {4,27}, {7,15}, {4,24}, {8,12}, {4,26}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,31}, {1,19}, {2,27}, {3,35}, {5,20}, {7,34}, {1,21}, {8,10}, {2,28}, {2,14}, {5,32}, {8,15}, {9,35}, {4,23}, {8,31}, {8,27}, {9,11}, {6,22}, {3,18}, {6,29}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,31}, {4,10}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {7,11}, {3,14}, {9,32}, {9,26}, {5,11}, {2,10}, {9,19}, {8,14}, {5,25}, {7,13}, {7,25}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {9,34}, {2,13}, {2,20}, {1,29}, {7,30}, {2,16}, {3,32}, {8,36}, {1,12}, {6,33}, {5,30}, {7,17}, {8,11}, {8,13}, {8,22}, {7,14}, {3,27}, {1,33}, {3,29}, {6,23}, {5,28}, {8,26}, {9,22}, {2,17}, {4,36}, {5,12}, {8,32}, {3,19}, {1,24}, {6,27}, {6,26}, {1,25}, {9,12}, {7,29}, {6,28}, {2,11}, {9,30}, {1,35}, {7,23}, {6,36}, {3,30}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {5,10}, {5,26}, {8,18}, {4,18}, {4,11}, {4,12}, {5,13}, {8,20}, {3,28}, {7,10}, {7,24}, {3,31}, {9,24}, {1,14}, {5,15}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {5,35}, {2,18}, {9,31}, {7,19}, {4,17}, {6,35}, {9,21}, {3,36}, {9,23}, {7,21}, {1,36}, {7,18}, {5,16} }; // ETB36.77 (= ET36.106) // Bipartite(9,27) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 61929004688474112000 EdgesBipt[36][77]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {8,30}, {2,23}, {1,13}, {4,29}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {2,26}, {7,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {6,22}, {3,18}, {6,21}, {3,34}, {6,31}, {4,10}, {1,17}, {2,36}, {4,22}, {7,11}, {7,20}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {5,23}, {9,34}, {2,20}, {6,18}, {1,29}, {8,17}, {4,35}, {9,25}, {7,16}, {8,36}, {6,33}, {2,32}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {9,10}, {8,35}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {3,10}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {6,27}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {6,28}, {2,11}, {9,30}, {1,35}, {7,28}, {3,16}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {2,29}, {1,26}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,26}, {8,18}, {4,25}, {4,11}, {4,20}, {3,28}, {8,20}, {7,10}, {3,31}, {2,12}, {1,14}, {9,24}, {5,15}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {8,29}, {4,32} }; // ETB36.78 (= ET36.107) // Bipartite(9,27) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1088391168 EdgesBipt[36][78]:={ {1,11}, {3,33}, {1,20}, {9,28}, {6,32}, {6,16}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {1,10}, {4,30}, {8,30}, {6,17}, {4,29}, {1,32}, {3,13}, {8,33}, {3,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {1,30}, {5,32}, {8,15}, {8,27}, {3,18}, {3,17}, {6,21}, {2,25}, {4,10}, {2,34}, {2,36}, {5,22}, {4,22}, {7,11}, {7,20}, {3,14}, {9,27}, {5,11}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {7,13}, {7,25}, {2,35}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {9,34}, {2,13}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {3,32}, {4,35}, {9,25}, {7,16}, {7,26}, {1,12}, {8,36}, {5,18}, {1,23}, {7,17}, {8,11}, {5,24}, {8,35}, {9,10}, {5,14}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {6,23}, {3,10}, {3,26}, {8,26}, {9,22}, {7,31}, {2,17}, {9,13}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {5,36}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {7,28}, {7,23}, {6,36}, {2,21}, {5,33}, {9,18}, {3,24}, {2,29}, {2,22}, {1,16}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {8,18}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {3,28}, {7,10}, {3,31}, {2,12}, {1,14}, {9,24}, {5,15}, {7,35}, {2,30}, {9,15}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {8,29}, {5,16} }; // ETB36.79 (= ET36.108) // Bipartite(12,24) Valencies [18,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8358844170240000 EdgesBipt[36][79]:={ {5,17}, {1,20}, {10,25}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {12,29}, {7,15}, {11,35}, {5,34}, {4,24}, {3,22}, {4,16}, {6,17}, {2,23}, {1,13}, {12,32}, {8,28}, {4,29}, {1,32}, {8,33}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {2,27}, {10,33}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {11,14}, {12,35}, {7,36}, {8,25}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,31}, {8,27}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {8,16}, {6,21}, {3,34}, {2,25}, {6,31}, {2,34}, {1,17}, {5,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {12,20}, {12,36}, {5,29}, {5,25}, {7,32}, {11,15}, {11,22}, {9,14}, {11,31}, {2,35}, {1,22}, {12,13}, {6,30}, {4,33}, {12,16}, {4,21}, {10,29}, {3,20}, {10,31}, {9,34}, {2,13}, {10,21}, {6,18}, {1,29}, {7,30}, {8,17}, {3,32}, {4,35}, {9,25}, {7,16}, {8,36}, {6,33}, {7,26}, {5,18}, {11,23}, {5,30}, {11,30}, {5,24}, {12,28}, {12,25}, {8,13}, {8,35}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {6,23}, {3,26}, {5,28}, {9,22}, {7,31}, {12,33}, {6,15}, {2,17}, {4,36}, {9,13}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {6,26}, {12,19}, {3,23}, {8,23}, {5,36}, {1,25}, {6,19}, {12,15}, {6,14}, {9,30}, {7,28}, {3,16}, {11,26}, {10,35}, {7,23}, {11,16}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {10,34}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {5,26}, {11,19}, {4,25}, {10,19}, {4,20}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,24}, {3,31}, {9,24}, {1,14}, {12,31}, {10,14}, {11,34}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {9,21}, {9,16}, {3,36}, {8,29}, {4,32}, {11,18}, {1,36}, {12,21}, {7,18}, {5,16} }; // ETB36.80 (= ET36.109) // Bipartite(18,18) Valencies [18,18] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 81980778135594566280019968000000 EdgesBipt[36][80]:={ {13,21}, {15,33}, {14,36}, {9,32}, {6,25}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {1,21}, {3,21}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {15,19}, {1,29}, {16,34}, {10,35}, {4,23}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {2,36}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {8,24}, {14,21}, {9,26}, {18,20}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {18,31}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {15,25}, {5,33}, {5,30} }; // ETB36.81 (= ET36.113) // Bipartite(17,19) Valencies [19,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43267632904897132203343872000000 EdgesBipt[36][81]:={ {13,21}, {15,33}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {16,34}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {1,33}, {12,36}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30} }; // ETB36.82 (= ET36.114) // Bipartite(6,30) Valencies [20,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2293666840313856000000 EdgesBipt[36][82]:={ {4,35}, {5,32}, {6,12}, {5,14}, {3,15}, {6,10}, {6,18}, {4,14}, {1,11}, {5,30}, {6,36}, {4,8}, {3,7}, {1,31}, {2,11}, {5,35}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {2,33}, {6,25}, {6,7}, {3,30}, {1,32}, {3,10}, {3,34}, {3,31}, {6,34}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {5,23}, {5,33}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {1,22}, {2,32}, {6,33}, {1,16}, {6,21}, {2,36}, {2,17}, {4,28}, {3,9}, {4,29}, {3,22}, {5,15}, {5,29}, {4,31}, {3,27}, {6,15}, {1,19}, {4,17}, {2,35}, {4,25}, {2,9}, {1,35}, {1,26}, {2,24}, {6,31}, {4,11}, {2,27}, {6,19}, {1,23}, {2,21}, {5,27}, {1,7}, {6,30}, {5,8}, {2,12}, {4,22}, {5,20}, {3,28}, {5,36}, {3,24}, {5,17}, {3,12}, {6,16}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {5,11}, {3,16}, {1,13}, {3,25}, {2,26}, {5,12}, {1,28}, {3,36}, {6,24}, {5,18}, {4,34}, {6,27}, {3,33}, {4,23}, {1,8}, {4,13}, {2,30}, {4,19}, {4,10}, {6,28} }; // ETB36.83 (= ET36.115) // Bipartite(6,30) Valencies [20,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[36][83]:={ {1,15}, {4,35}, {5,32}, {6,12}, {5,14}, {6,10}, {6,18}, {4,14}, {1,11}, {5,30}, {6,36}, {4,8}, {4,27}, {3,7}, {6,17}, {2,11}, {5,35}, {6,23}, {2,20}, {5,34}, {1,25}, {4,16}, {5,24}, {3,32}, {2,33}, {6,32}, {6,25}, {6,7}, {3,10}, {2,28}, {3,34}, {3,31}, {2,18}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {1,34}, {2,14}, {3,11}, {5,33}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {3,13}, {2,16}, {1,22}, {2,32}, {6,33}, {6,21}, {2,17}, {4,28}, {2,13}, {3,9}, {4,29}, {3,22}, {5,19}, {5,15}, {6,8}, {5,29}, {4,31}, {3,27}, {4,30}, {6,15}, {1,19}, {2,35}, {4,15}, {2,9}, {1,26}, {2,24}, {6,31}, {1,23}, {5,27}, {1,7}, {6,30}, {4,22}, {5,20}, {3,28}, {3,26}, {5,36}, {3,24}, {5,17}, {3,12}, {6,16}, {6,20}, {3,21}, {1,14}, {2,8}, {5,11}, {3,16}, {1,13}, {3,25}, {2,26}, {1,33}, {5,12}, {2,25}, {1,28}, {3,36}, {3,17}, {4,9}, {6,35}, {5,18}, {4,34}, {6,27}, {4,23}, {1,8}, {1,30}, {4,13}, {1,21}, {1,18}, {4,19}, {4,24} }; // ETB36.84 (= ET36.116) // Bipartite(12,24) Valencies [20,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8806025134080 EdgesBipt[36][84]:={ {11,17}, {3,33}, {2,24}, {5,17}, {10,25}, {11,20}, {6,32}, {6,16}, {11,36}, {4,27}, {7,15}, {11,35}, {5,34}, {4,26}, {4,16}, {8,30}, {2,23}, {1,13}, {12,22}, {12,32}, {8,28}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {10,33}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {11,14}, {7,36}, {8,25}, {2,28}, {12,34}, {2,14}, {1,30}, {5,32}, {9,35}, {4,23}, {8,31}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {3,17}, {8,16}, {6,21}, {2,25}, {6,31}, {11,33}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {9,32}, {9,26}, {9,27}, {12,20}, {12,36}, {5,29}, {9,19}, {8,14}, {11,15}, {1,31}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {2,35}, {1,22}, {12,13}, {6,30}, {4,33}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {4,35}, {9,25}, {7,16}, {2,32}, {6,33}, {8,36}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {12,28}, {12,25}, {8,13}, {8,22}, {8,35}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,27}, {4,28}, {1,33}, {10,13}, {3,29}, {3,26}, {5,28}, {8,26}, {12,26}, {7,31}, {12,33}, {6,15}, {2,17}, {9,13}, {12,27}, {8,32}, {3,19}, {1,24}, {6,27}, {11,24}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {10,32}, {12,14}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {1,35}, {7,28}, {11,26}, {10,35}, {7,23}, {11,16}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {2,22}, {4,34}, {1,16}, {4,14}, {10,34}, {11,32}, {9,17}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {4,25}, {10,19}, {4,20}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {9,24}, {10,20}, {5,15}, {7,33}, {12,31}, {10,14}, {11,34}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {12,18}, {11,18}, {1,36}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB36.85 (= ET36.117) // Bipartite(16,20) Valencies [20,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 50903097535173096709816320000000 EdgesBipt[36][85]:={ {13,21}, {15,33}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {16,22}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {16,34}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {5,34}, {13,19}, {1,26}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {6,23}, {16,31}, {15,17}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {1,33}, {12,36}, {16,27}, {5,26}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {12,19}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30} }; // ETB36.86 (= ET36.121) // Bipartite(8,28) Valencies [21,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 40320 EdgesBipt[36][86]:={ {1,11}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {8,12}, {4,26}, {6,17}, {2,23}, {3,9}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {2,19}, {2,27}, {3,35}, {7,34}, {1,21}, {2,9}, {7,36}, {8,10}, {8,25}, {2,28}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {3,34}, {7,12}, {6,31}, {4,10}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {2,10}, {8,14}, {5,25}, {7,13}, {7,25}, {1,22}, {6,12}, {6,30}, {4,33}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {7,30}, {2,16}, {4,35}, {7,16}, {7,26}, {1,12}, {2,32}, {8,36}, {5,18}, {1,23}, {5,30}, {7,17}, {8,11}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {4,36}, {5,12}, {8,32}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {8,23}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {1,35}, {3,16}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {2,31}, {5,27}, {5,10}, {5,26}, {8,18}, {5,9}, {4,11}, {4,20}, {5,13}, {8,20}, {3,28}, {7,10}, {7,24}, {3,31}, {2,12}, {1,14}, {5,15}, {7,33}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {3,36}, {7,21}, {4,32}, {7,18} }; // ETB36.87 (= ET36.122) // Bipartite(8,28) Valencies [21,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 247772652503040000 EdgesBipt[36][87]:={ {5,17}, {1,20}, {2,33}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {3,22}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,9}, {8,28}, {4,29}, {1,32}, {8,33}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {8,25}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {6,29}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,31}, {2,34}, {1,17}, {5,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {2,10}, {5,29}, {5,25}, {7,32}, {3,12}, {2,35}, {1,22}, {6,30}, {4,33}, {4,21}, {3,20}, {2,13}, {6,18}, {1,29}, {7,30}, {8,17}, {3,32}, {4,35}, {7,16}, {7,26}, {1,12}, {6,33}, {8,36}, {5,18}, {5,30}, {8,11}, {5,24}, {8,13}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {6,23}, {3,10}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {8,23}, {5,36}, {1,25}, {6,19}, {6,9}, {6,14}, {2,11}, {7,28}, {3,16}, {7,23}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {8,24}, {6,25}, {2,31}, {6,34}, {6,10}, {5,10}, {5,26}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {7,10}, {7,24}, {3,31}, {1,14}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {3,36}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB36.88 (= ET36.123) // Bipartite(15,21) Valencies [21,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 66810315514914689431633920000000 EdgesBipt[36][88]:={ {13,21}, {15,33}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {1,26}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,33}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {8,24}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,22}, {6,23}, {15,17}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30} }; // ETB36.89 (= ET36.126) // Bipartite(3,33) Valencies [22,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 381608820557217792000000 EdgesBipt[36][89]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {2,26}, {3,12}, {2,32}, {2,30}, {1,29}, {2,29}, {1,32}, {2,24}, {1,10}, {3,21}, {3,27}, {3,33}, {2,6}, {1,4}, {1,20}, {2,36}, {1,31}, {3,9}, {3,24}, {2,12}, {2,33}, {2,21}, {1,7}, {3,4}, {1,16}, {3,7}, {2,20}, {3,16}, {3,28}, {3,15}, {2,18}, {3,25}, {3,19}, {3,30}, {2,15}, {2,5}, {3,18}, {3,31}, {1,5}, {2,27}, {1,17}, {3,6}, {3,34}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {1,22}, {2,8}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {3,10}, {3,36} }; // ETB36.90 (= ET36.127) // Bipartite(12,24) Valencies [22,11] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1961990553600 EdgesBipt[36][90]:={ {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {8,31}, {6,14}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {12,20}, {1,13}, {12,26}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {2,15}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {8,18}, {4,18}, {7,32}, {12,24}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {6,27}, {2,30}, {5,35}, {3,36}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {6,16}, {11,33}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {11,13}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {4,34}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {1,15}, {7,26}, {11,28}, {7,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {7,13}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {6,35}, {12,19}, {8,25}, {6,33}, {12,21}, {2,14}, {5,33}, {5,30} }; // ETB36.91 (= ET36.128) // Bipartite(14,22) Valencies [22,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 97988462755208211166396416000000 EdgesBipt[36][91]:={ {13,21}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,15}, {14,33}, {14,23}, {6,16}, {11,33}, {13,25}, {8,24}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {3,15}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {13,15}, {1,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {12,19}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {5,30} }; // ETB36.92 (= ET36.130) // Bipartite(13,23) Valencies [23,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 160981045954984918344794112000000 EdgesBipt[36][92]:={ {13,21}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {13,27}, {6,14}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,26}, {13,19}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {6,16}, {11,33}, {13,25}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {13,14}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {13,34}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {12,35}, {6,35}, {12,19}, {8,25}, {6,33}, {2,32}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30} }; // ETB36.93 (= ET36.131) // Bipartite(4,32) Valencies [24,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 63429799040778240000 EdgesBipt[36][93]:={ {4,35}, {3,15}, {2,22}, {4,8}, {4,27}, {3,7}, {2,11}, {1,25}, {4,16}, {3,32}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {3,10}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {1,17}, {1,22}, {1,16}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,22}, {3,23}, {4,31}, {3,27}, {2,34}, {4,21}, {4,36}, {4,17}, {2,35}, {4,15}, {2,9}, {4,25}, {1,26}, {4,11}, {2,27}, {3,35}, {2,21}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {1,14}, {4,32}, {1,20}, {3,16}, {1,13}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {4,9}, {2,7}, {4,23}, {1,8}, {1,30}, {4,13}, {1,21}, {2,30}, {1,6}, {1,18}, {4,19}, {4,24}, {2,5}, {1,24} }; // ETB36.94 (= ET36.132) // Bipartite(9,27) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3656994324480 EdgesBipt[36][94]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {2,23}, {1,13}, {8,28}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {7,36}, {8,10}, {8,25}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {4,22}, {8,19}, {9,29}, {7,11}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {5,29}, {9,19}, {5,25}, {7,32}, {1,31}, {7,13}, {9,14}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {8,35}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {4,36}, {9,13}, {5,12}, {8,21}, {3,19}, {1,24}, {6,27}, {3,23}, {5,36}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {1,35}, {7,28}, {3,16}, {7,23}, {6,36}, {2,21}, {5,33}, {8,34}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,12}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {2,12}, {1,14}, {9,24}, {5,15}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB36.95 (= ET36.133) // Bipartite(12,24) Valencies [24,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 297195777147664464636542976000000 EdgesBipt[36][95]:={ {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {6,14}, {2,33}, {6,32}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {12,20}, {1,13}, {12,26}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {2,15}, {12,23}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {6,16}, {11,33}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {11,13}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {7,13}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {12,35}, {6,35}, {12,19}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30} }; // ETB36.96 (= ET36.136) // Bipartite(6,30) Valencies [25,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2149908480000000 EdgesBipt[36][96]:={ {1,11}, {3,33}, {2,24}, {5,17}, {6,32}, {6,16}, {4,27}, {5,34}, {4,26}, {3,8}, {4,16}, {1,10}, {2,23}, {1,13}, {3,9}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {4,19}, {4,31}, {2,19}, {1,19}, {3,35}, {5,20}, {2,26}, {1,21}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {6,22}, {3,18}, {3,17}, {3,7}, {6,21}, {2,25}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,26}, {5,28}, {6,15}, {2,17}, {5,12}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {5,36}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {5,9}, {4,25}, {4,11}, {4,20}, {3,31}, {2,12}, {2,8}, {5,15}, {6,20}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {3,36}, {4,32}, {1,36}, {5,16} }; // ETB36.97 (= ET36.137) // Bipartite(11,25) Valencies [25,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 619157869057634301326131200000000 EdgesBipt[36][97]:={ {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {6,14}, {2,33}, {6,32}, {11,29}, {11,35}, {11,17}, {1,12}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {1,13}, {7,27}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {6,16}, {11,33}, {7,12}, {8,24}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {11,13}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {6,35}, {8,25}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30} }; // ETB36.98 (= ET36.139) // Bipartite(10,26) Valencies [26,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1463464054136226530407219200000000 EdgesBipt[36][98]:={ {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {8,26}, {5,11}, {2,35}, {4,31}, {6,15}, {3,35}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {6,14}, {10,11}, {2,33}, {6,32}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {7,11}, {1,13}, {7,27}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {6,16}, {7,12}, {8,24}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {6,35}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30} }; // ETB36.99 (= ET36.140) // Bipartite(9,27) Valencies [27,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3951352946167811632099491840000000 EdgesBipt[36][99]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,11}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {9,34}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {8,35}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {4,36}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {1,35}, {7,28}, {3,16}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB36.100 (= ET36.142) // Bipartite(8,28) Valencies [28,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12293098054744302855420641280000000 EdgesBipt[36][100]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,11}, {2,10}, {5,29}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {7,28}, {3,16}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {3,36}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB36.101 (= ET36.143) // Bipartite(7,29) Valencies [29,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 44562480448448097850899824640000000 EdgesBipt[36][101]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {7,28}, {3,16}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {7,19}, {4,17}, {6,35}, {3,36}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB36.102 (= ET36.144) // Bipartite(6,30) Valencies [30,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 190982059064777562218142105600000000 EdgesBipt[36][102]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {6,21}, {3,34}, {2,25}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {6,8}, {5,25}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {5,36}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {3,16}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {6,35}, {3,36}, {4,32}, {1,36}, {5,16} }; // ETB36.103 (= ET36.146) // Bipartite(5,31) Valencies [31,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 986740638501350738127067545600000000 EdgesBipt[36][103]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {3,18}, {3,17}, {3,7}, {3,34}, {2,25}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {5,25}, {1,31}, {3,12}, {2,35}, {1,22}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {3,26}, {5,28}, {2,17}, {4,36}, {4,6}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {3,16}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,31}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {5,6}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {5,21}, {2,30}, {5,35}, {2,18}, {1,34}, {4,17}, {3,36}, {4,32}, {1,36}, {5,16} }; // ETB36.104 (= ET36.147) // Bipartite(4,32) Valencies [32,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6315140086408644724013232291840000000 EdgesBipt[36][104]:={ {1,15}, {4,35}, {3,15}, {1,11}, {4,14}, {2,22}, {3,29}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {3,32}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {3,27}, {2,34}, {4,30}, {1,19}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {2,24}, {4,11}, {2,27}, {3,35}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {4,9}, {2,7}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB36.105 (= ET36.149) // Bipartite(3,33) Valencies [33,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 52099905712871318973109166407680000000 EdgesBipt[36][105]:={ {1,15}, {3,15}, {1,11}, {2,22}, {3,29}, {1,31}, {3,7}, {2,11}, {2,20}, {1,25}, {3,32}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {2,34}, {3,27}, {1,19}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {3,35}, {1,23}, {2,21}, {1,7}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB36.106 (= ET36.151) // Bipartite(2,34) Valencies [34,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 590465598079208281695237219287040000000 EdgesBipt[36][106]:={ {2,11}, {1,26}, {2,14}, {1,14}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,33}, {1,10}, {1,36}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB36.107 (= ET36.153) // Bipartite(1,35) Valencies [35,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 10333147966386144929666651337523200000000 EdgesBipt[36][107]:={ {1,4}, {1,20}, {1,3}, {1,34}, {1,30}, {1,14}, {1,23}, {1,33}, {1,24}, {1,7}, {1,27}, {1,29}, {1,35}, {1,5}, {1,15}, {1,22}, {1,28}, {1,16}, {1,10}, {1,12}, {1,13}, {1,17}, {1,2}, {1,11}, {1,36}, {1,19}, {1,18}, {1,25}, {1,32}, {1,21}, {1,9}, {1,26}, {1,31}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 36 is 107 // ******************************************************************************************** // Order 37 // ETB37.1 (= ET37.6) // Bipartite(18,19) Valencies [19,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 778817392288148379660189696000000 EdgesBipt[37][1]:={ {13,21}, {15,33}, {10,37}, {14,36}, {9,32}, {6,25}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {1,21}, {3,21}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {13,19}, {14,32}, {1,26}, {2,36}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {8,24}, {14,21}, {9,26}, {18,20}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {18,31}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {3,37}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {9,37} }; // ETB37.2 (= ET37.7) // Bipartite(17,20) Valencies [20,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 865352658097942644066877440000000 EdgesBipt[37][2]:={ {13,21}, {15,33}, {10,37}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {13,37}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {13,19}, {1,26}, {14,32}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {14,21}, {9,26}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {3,37}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {9,37} }; // ETB37.3 (= ET37.8) // Bipartite(16,21) Valencies [21,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1068965048238635030906142720000000 EdgesBipt[37][3]:={ {13,21}, {15,33}, {10,37}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {16,22}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {5,34}, {13,19}, {1,26}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {6,23}, {16,31}, {15,17}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {3,37}, {14,22}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {9,37} }; // ETB37.4 (= ET37.9) // Bipartite(15,22) Valencies [22,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1469826941328123167495946240000000 EdgesBipt[37][4]:={ {13,21}, {15,33}, {10,37}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {1,26}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,33}, {15,37}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {8,24}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,22}, {14,37}, {6,23}, {15,17}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {9,37} }; // ETB37.5 (= ET37.10) // Bipartite(14,23) Valencies [23,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2253734643369788856827117568000000 EdgesBipt[37][5]:={ {13,21}, {10,37}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,15}, {14,33}, {14,23}, {6,16}, {11,33}, {13,25}, {8,24}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {14,37}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {3,15}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {12,21}, {6,33}, {11,26}, {5,33}, {5,30}, {9,37} }; // ETB37.6 (= ET37.11) // Bipartite(13,24) Valencies [24,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3863545102919638040275058688000000 EdgesBipt[37][6]:={ {13,21}, {10,37}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {4,37}, {13,27}, {6,14}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,26}, {13,19}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {6,16}, {11,33}, {13,25}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {13,14}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {13,34}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {3,37}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {9,37} }; // ETB37.7 (= ET37.12) // Bipartite(12,25) Valencies [25,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7429894428691611615913574400000000 EdgesBipt[37][7]:={ {10,37}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {4,37}, {6,14}, {2,33}, {6,32}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {1,13}, {12,26}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {6,16}, {11,33}, {8,24}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {11,13}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,37}, {7,13}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {9,37} }; // ETB37.8 (= ET37.13) // Bipartite(11,26) Valencies [26,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16098104595498491834479411200000000 EdgesBipt[37][8]:={ {10,37}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,37}, {6,14}, {2,33}, {6,32}, {11,29}, {11,35}, {1,12}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {1,13}, {7,27}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {6,16}, {11,33}, {7,12}, {8,24}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {9,37} }; // ETB37.9 (= ET37.14) // Bipartite(10,27) Valencies [27,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 39513529461678116320994918400000000 EdgesBipt[37][9]:={ {10,37}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {8,26}, {5,11}, {2,35}, {4,31}, {6,15}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {1,13}, {7,27}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {6,16}, {7,12}, {8,24}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37} }; // ETB37.10 (= ET37.15) // Bipartite(9,28) Valencies [28,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 110637882492698725698785771520000000 EdgesBipt[37][10]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,11}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {9,19}, {2,37}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {9,34}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {9,37}, {8,13}, {8,22}, {8,35}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {4,36}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {1,35}, {1,37}, {7,28}, {3,16}, {4,37}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB37.11 (= ET37.16) // Bipartite(8,29) Valencies [29,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 356499843587584782807198597120000000 EdgesBipt[37][11]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,9}, {3,9}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,11}, {2,10}, {5,29}, {2,37}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {7,28}, {3,16}, {4,37}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB37.12 (= ET37.17) // Bipartite(7,30) Valencies [30,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1336874413453442935526994739200000000 EdgesBipt[37][12]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {2,37}, {6,8}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {7,28}, {3,16}, {4,37}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB37.13 (= ET37.18) // Bipartite(6,31) Valencies [31,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5920443831008104428762405273600000000 EdgesBipt[37][13]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {6,21}, {3,34}, {2,25}, {6,31}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {2,37}, {6,8}, {5,25}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {5,36}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {3,16}, {4,37}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,37}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {5,37}, {4,17}, {6,35}, {3,36}, {4,32}, {1,36}, {5,16} }; // ETB37.14 (= ET37.19) // Bipartite(5,32) Valencies [32,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31575700432043223620066161459200000000 EdgesBipt[37][14]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {3,18}, {3,17}, {3,7}, {3,34}, {2,25}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {2,37}, {5,25}, {1,31}, {3,12}, {2,35}, {1,22}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {3,26}, {5,28}, {2,17}, {4,36}, {4,6}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {3,16}, {4,37}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,31}, {5,10}, {5,27}, {5,26}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {5,6}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {5,21}, {2,30}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {3,36}, {4,32}, {1,36}, {5,16} }; // ETB37.15 (= ET37.20) // Bipartite(4,33) Valencies [33,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 208399622851485275892436665630720000000 EdgesBipt[37][15]:={ {1,15}, {4,35}, {3,15}, {1,11}, {4,14}, {2,22}, {3,29}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {2,37}, {3,32}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {2,34}, {3,27}, {4,30}, {1,19}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {2,24}, {4,11}, {2,27}, {3,35}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {4,9}, {2,7}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB37.16 (= ET37.21) // Bipartite(3,34) Valencies [34,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1771396794237624845085711657861120000000 EdgesBipt[37][16]:={ {1,15}, {3,15}, {1,11}, {2,22}, {3,29}, {1,31}, {3,7}, {2,11}, {2,20}, {1,25}, {2,37}, {3,32}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {2,34}, {3,27}, {1,19}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {3,35}, {1,23}, {2,21}, {1,7}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB37.17 (= ET37.22) // Bipartite(2,35) Valencies [35,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20666295932772289859333302675046400000000 EdgesBipt[37][17]:={ {2,11}, {1,26}, {2,14}, {1,14}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,10}, {1,36}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB37.18 (= ET37.23) // Bipartite(1,36) Valencies [36,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 371993326789901217467999448150835200000000 EdgesBipt[37][18]:={ {1,4}, {1,20}, {1,3}, {1,34}, {1,37}, {1,30}, {1,14}, {1,23}, {1,33}, {1,24}, {1,7}, {1,27}, {1,29}, {1,35}, {1,5}, {1,15}, {1,22}, {1,28}, {1,16}, {1,10}, {1,12}, {1,13}, {1,17}, {1,2}, {1,11}, {1,36}, {1,19}, {1,18}, {1,25}, {1,32}, {1,21}, {1,9}, {1,26}, {1,31}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 37 is 18 // ******************************************************************************************** // Order 38 // ETB38.1 (= ET38.1) // Bipartite(19,19) Valencies [2,2] // Diameter 19 Girth 38 // Twin-free VT AT // Automorphism group of order 76 EdgesBipt[38][1]:={ {13,37}, {5,28}, {1,20}, {11,36}, {18,22}, {3,20}, {8,30}, {6,30}, {11,37}, {3,23}, {12,38}, {9,32}, {14,35}, {10,34}, {18,27}, {2,25}, {2,21}, {1,22}, {4,21}, {10,38}, {12,35}, {17,24}, {15,33}, {14,31}, {5,23}, {17,29}, {19,25}, {16,31}, {13,33}, {6,26}, {7,32}, {4,26}, {19,24}, {8,34}, {7,28}, {16,27}, {15,29}, {9,36} }; // ETB38.2 (= ET38.2) // Bipartite(19,19) Valencies [3,3] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 114 EdgesBipt[38][2]:={ {15,35}, {1,26}, {18,32}, {4,24}, {5,32}, {6,33}, {4,34}, {16,23}, {6,31}, {8,25}, {12,30}, {19,35}, {1,20}, {8,24}, {3,23}, {11,38}, {3,37}, {17,25}, {12,31}, {10,33}, {3,29}, {16,33}, {11,21}, {2,21}, {15,21}, {9,29}, {2,31}, {10,34}, {13,36}, {5,28}, {4,27}, {9,36}, {12,23}, {17,38}, {17,27}, {14,32}, {18,30}, {7,22}, {7,38}, {15,28}, {16,22}, {6,35}, {5,26}, {18,29}, {14,20}, {14,24}, {11,26}, {13,27}, {1,22}, {2,25}, {13,37}, {9,28}, {8,30}, {7,37}, {10,20}, {19,34}, {19,36} }; // ETB38.3 (= ET38.4) // Bipartite(19,19) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 228 EdgesBipt[38][3]:={ {14,21}, {5,32}, {10,21}, {15,23}, {2,38}, {10,22}, {11,23}, {2,22}, {17,27}, {11,33}, {4,27}, {16,30}, {11,29}, {7,33}, {12,31}, {2,37}, {5,24}, {13,34}, {1,38}, {12,33}, {16,23}, {19,31}, {13,27}, {3,30}, {9,37}, {12,27}, {14,35}, {3,34}, {14,20}, {3,31}, {6,34}, {15,32}, {13,20}, {18,24}, {8,22}, {19,37}, {7,28}, {5,23}, {15,34}, {8,33}, {7,26}, {19,26}, {1,36}, {18,33}, {1,22}, {14,30}, {7,29}, {10,31}, {16,26}, {14,28}, {10,24}, {18,25}, {8,35}, {14,38}, {15,35}, {3,23}, {4,31}, {19,29}, {4,30}, {2,34}, {4,36}, {4,21}, {7,30}, {5,28}, {9,25}, {10,29}, {1,26}, {6,29}, {15,26}, {18,35}, {12,23}, {12,38}, {11,36}, {17,22}, {5,38}, {15,21}, {2,21}, {16,27}, {18,28}, {6,38}, {8,32}, {5,36}, {19,36}, {9,24}, {11,25}, {13,28}, {16,22}, {11,21}, {9,26}, {4,32}, {1,20}, {3,25}, {17,29}, {13,36}, {3,20}, {1,33}, {2,25}, {18,31}, {8,37}, {10,20}, {9,32}, {6,24}, {6,35}, {17,32}, {8,30}, {17,28}, {6,27}, {19,35}, {7,34}, {13,37}, {12,37}, {9,20}, {17,25}, {16,24} }; // ETB38.4 (= ET38.5) // Bipartite(19,19) Valencies [9,9] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 342 EdgesBipt[38][4]:={ {2,24}, {1,20}, {9,28}, {2,33}, {11,36}, {4,27}, {13,21}, {4,24}, {16,26}, {10,37}, {18,32}, {16,27}, {1,32}, {19,24}, {10,26}, {17,20}, {17,34}, {14,38}, {7,22}, {10,33}, {2,27}, {3,35}, {5,20}, {13,35}, {14,31}, {17,24}, {16,25}, {12,35}, {7,36}, {17,21}, {18,21}, {8,25}, {1,30}, {16,23}, {8,27}, {13,29}, {12,37}, {16,29}, {18,34}, {18,37}, {10,30}, {4,38}, {19,33}, {6,21}, {14,23}, {2,25}, {11,38}, {14,33}, {4,22}, {9,29}, {14,36}, {19,26}, {19,30}, {9,27}, {12,20}, {5,29}, {19,22}, {5,25}, {7,32}, {17,23}, {1,31}, {11,31}, {2,35}, {1,22}, {15,27}, {19,38}, {6,30}, {4,33}, {10,29}, {9,34}, {13,22}, {13,31}, {3,32}, {11,21}, {9,25}, {8,36}, {6,33}, {2,32}, {13,33}, {16,32}, {17,30}, {15,35}, {5,24}, {9,37}, {12,28}, {15,37}, {8,22}, {8,35}, {13,28}, {15,20}, {1,28}, {4,28}, {3,29}, {6,23}, {16,38}, {15,36}, {5,28}, {8,26}, {17,31}, {12,26}, {7,31}, {12,27}, {12,23}, {6,27}, {11,24}, {6,26}, {14,34}, {3,23}, {10,32}, {18,25}, {17,29}, {5,36}, {1,25}, {7,29}, {6,28}, {18,23}, {9,30}, {14,20}, {15,21}, {14,25}, {16,21}, {13,26}, {11,26}, {10,35}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {11,37}, {3,24}, {18,28}, {1,26}, {4,34}, {10,34}, {15,22}, {18,22}, {11,32}, {16,20}, {8,24}, {2,31}, {6,34}, {15,38}, {19,25}, {13,38}, {9,38}, {3,38}, {4,20}, {12,24}, {3,28}, {7,27}, {14,35}, {10,20}, {7,33}, {12,31}, {11,34}, {17,22}, {5,21}, {2,30}, {15,30}, {7,37}, {9,31}, {19,23}, {5,37}, {3,36}, {18,35}, {19,37}, {8,29}, {4,32}, {1,36} }; // ETB38.5 (= ET38.6) // Bipartite(18,20) Valencies [10,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 232190115840000 EdgesBipt[38][5]:={ {3,33}, {10,24}, {1,20}, {2,24}, {13,32}, {2,33}, {5,34}, {4,24}, {16,26}, {4,26}, {17,38}, {4,30}, {11,25}, {12,22}, {5,38}, {8,28}, {18,38}, {15,31}, {1,32}, {8,33}, {1,27}, {3,25}, {12,38}, {10,26}, {17,34}, {1,19}, {3,35}, {3,37}, {13,35}, {12,35}, {7,36}, {17,21}, {8,25}, {2,28}, {12,34}, {14,28}, {9,35}, {18,34}, {10,22}, {6,22}, {15,25}, {10,30}, {16,30}, {15,29}, {4,38}, {2,25}, {11,38}, {11,33}, {6,31}, {14,33}, {2,36}, {5,22}, {4,22}, {10,38}, {9,29}, {7,20}, {17,37}, {14,21}, {14,36}, {16,24}, {9,27}, {5,29}, {9,19}, {2,37}, {5,25}, {7,32}, {1,31}, {11,22}, {10,28}, {14,24}, {17,33}, {15,27}, {6,30}, {15,19}, {2,20}, {13,31}, {18,30}, {11,21}, {9,25}, {8,36}, {2,32}, {16,32}, {1,23}, {11,29}, {5,30}, {17,30}, {15,35}, {11,30}, {9,37}, {13,23}, {15,37}, {13,28}, {18,26}, {1,28}, {18,27}, {3,27}, {14,37}, {4,28}, {3,29}, {6,23}, {16,38}, {8,37}, {13,36}, {18,31}, {12,26}, {16,22}, {7,31}, {4,36}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {13,24}, {6,27}, {17,25}, {12,19}, {6,26}, {12,30}, {3,23}, {18,19}, {10,32}, {17,29}, {3,21}, {6,19}, {18,23}, {13,27}, {1,35}, {14,20}, {16,34}, {15,21}, {14,25}, {7,28}, {11,26}, {7,23}, {13,19}, {16,36}, {2,21}, {5,33}, {11,37}, {2,29}, {4,34}, {10,36}, {10,34}, {18,22}, {16,20}, {14,32}, {15,33}, {8,24}, {6,38}, {9,33}, {6,34}, {5,26}, {4,20}, {8,20}, {7,27}, {15,23}, {7,24}, {3,31}, {10,20}, {17,26}, {12,31}, {11,34}, {7,35}, {17,22}, {5,21}, {13,20}, {9,31}, {5,37}, {7,19}, {6,35}, {9,21}, {16,28}, {18,35}, {9,23}, {8,29}, {4,32}, {1,36}, {14,29} }; // ETB38.6 (= ET38.7) // Bipartite(18,20) Valencies [10,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2866544640 EdgesBipt[38][6]:={ {10,24}, {13,32}, {2,33}, {17,35}, {4,27}, {13,21}, {11,35}, {5,34}, {4,24}, {15,24}, {16,33}, {17,38}, {10,37}, {4,30}, {11,25}, {16,27}, {8,30}, {2,23}, {5,38}, {7,38}, {18,38}, {15,31}, {4,29}, {1,32}, {8,33}, {3,25}, {10,23}, {12,38}, {17,34}, {4,19}, {16,19}, {7,22}, {10,33}, {1,19}, {3,35}, {2,26}, {1,21}, {17,24}, {18,21}, {8,25}, {5,32}, {16,23}, {9,35}, {4,23}, {13,29}, {12,37}, {16,29}, {15,25}, {11,28}, {18,37}, {10,30}, {16,30}, {15,29}, {6,21}, {3,34}, {2,25}, {14,23}, {11,38}, {6,31}, {1,38}, {14,33}, {2,36}, {5,22}, {9,29}, {17,37}, {14,36}, {16,24}, {9,26}, {18,20}, {12,20}, {12,36}, {9,19}, {14,30}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {2,35}, {1,22}, {6,30}, {4,33}, {10,29}, {9,34}, {13,22}, {15,19}, {2,20}, {16,37}, {1,29}, {13,31}, {18,30}, {9,25}, {8,36}, {2,32}, {13,33}, {1,23}, {15,35}, {5,24}, {17,27}, {13,23}, {12,28}, {8,22}, {15,34}, {8,35}, {13,28}, {18,26}, {1,28}, {18,27}, {18,36}, {1,33}, {3,29}, {3,26}, {5,28}, {15,36}, {8,26}, {18,31}, {12,26}, {7,31}, {17,28}, {12,27}, {8,32}, {3,19}, {14,22}, {6,27}, {11,24}, {17,25}, {6,26}, {12,30}, {8,23}, {3,21}, {7,29}, {6,28}, {14,20}, {15,21}, {16,34}, {14,25}, {7,28}, {4,37}, {7,23}, {13,19}, {6,36}, {11,37}, {3,24}, {11,27}, {18,28}, {10,27}, {2,22}, {4,34}, {10,34}, {11,32}, {14,32}, {16,20}, {6,38}, {9,36}, {5,27}, {13,38}, {10,19}, {4,20}, {8,20}, {14,35}, {3,31}, {9,24}, {10,20}, {7,33}, {6,37}, {12,31}, {11,34}, {6,20}, {17,22}, {2,30}, {5,35}, {9,31}, {5,37}, {7,19}, {17,32}, {9,21}, {3,36}, {7,21}, {12,21}, {14,26} }; // ETB38.7 (= ET38.8) // Bipartite(18,20) Valencies [10,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33592320 EdgesBipt[38][7]:={ {3,33}, {10,25}, {1,20}, {13,32}, {6,32}, {17,35}, {11,36}, {17,36}, {4,27}, {12,29}, {11,35}, {16,26}, {15,24}, {18,29}, {4,26}, {3,22}, {17,38}, {18,32}, {16,27}, {8,30}, {2,23}, {12,22}, {5,38}, {12,32}, {16,31}, {15,31}, {4,29}, {1,32}, {3,25}, {10,26}, {14,38}, {4,31}, {1,19}, {2,27}, {3,35}, {7,34}, {17,24}, {16,25}, {7,36}, {17,21}, {12,34}, {5,32}, {9,35}, {8,27}, {12,37}, {16,29}, {18,34}, {6,22}, {15,25}, {11,28}, {18,37}, {6,29}, {14,23}, {11,38}, {11,33}, {6,31}, {2,36}, {7,20}, {14,21}, {14,36}, {9,27}, {2,38}, {9,19}, {2,37}, {14,30}, {7,32}, {7,25}, {10,28}, {17,33}, {15,27}, {6,30}, {4,21}, {10,29}, {10,31}, {15,19}, {10,21}, {2,20}, {18,30}, {11,21}, {4,35}, {9,25}, {8,36}, {7,26}, {13,33}, {1,23}, {6,24}, {5,30}, {17,30}, {15,35}, {11,30}, {5,24}, {13,23}, {12,28}, {8,22}, {13,25}, {18,24}, {3,27}, {14,37}, {4,28}, {1,33}, {8,37}, {5,28}, {13,36}, {18,31}, {9,22}, {17,28}, {8,21}, {3,19}, {14,22}, {11,24}, {12,19}, {12,30}, {3,23}, {8,23}, {18,19}, {5,36}, {1,25}, {6,19}, {6,28}, {14,20}, {1,37}, {16,34}, {16,21}, {13,26}, {11,26}, {10,35}, {7,23}, {13,19}, {2,21}, {5,33}, {3,24}, {2,29}, {16,35}, {18,28}, {10,27}, {8,38}, {1,26}, {2,22}, {4,34}, {10,34}, {15,22}, {18,22}, {11,32}, {16,20}, {15,33}, {9,33}, {6,34}, {15,38}, {5,26}, {9,38}, {4,25}, {3,38}, {4,20}, {12,24}, {8,20}, {15,23}, {13,37}, {3,31}, {9,24}, {10,20}, {17,26}, {7,33}, {6,37}, {12,31}, {13,34}, {5,21}, {2,30}, {13,20}, {7,37}, {5,35}, {9,31}, {1,34}, {7,19}, {17,32}, {16,28}, {9,23}, {14,27}, {8,29}, {1,36}, {14,29} }; // ETB38.8 (= ET38.9) // Bipartite(14,24) Valencies [12,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2257403904 EdgesBipt[38][8]:={ {11,17}, {3,33}, {10,25}, {1,20}, {5,17}, {10,24}, {9,28}, {13,32}, {2,33}, {6,16}, {6,32}, {4,27}, {13,21}, {11,35}, {5,34}, {14,19}, {4,26}, {4,30}, {11,25}, {8,30}, {12,22}, {12,32}, {8,28}, {1,32}, {1,27}, {3,25}, {10,23}, {12,38}, {4,19}, {14,38}, {4,31}, {10,33}, {1,19}, {5,20}, {3,37}, {2,26}, {7,34}, {12,34}, {8,15}, {9,35}, {14,28}, {4,23}, {8,31}, {13,29}, {13,16}, {10,15}, {10,22}, {6,22}, {10,30}, {6,29}, {3,17}, {4,38}, {6,21}, {2,25}, {11,33}, {2,34}, {14,33}, {4,22}, {10,38}, {9,29}, {14,36}, {9,26}, {9,27}, {12,20}, {12,36}, {2,38}, {9,19}, {2,37}, {14,30}, {5,25}, {11,15}, {7,32}, {1,31}, {7,25}, {11,31}, {6,30}, {12,16}, {5,23}, {10,31}, {3,20}, {9,34}, {13,18}, {13,31}, {3,32}, {11,21}, {4,35}, {7,16}, {8,36}, {7,26}, {5,18}, {11,23}, {1,23}, {11,29}, {6,24}, {7,17}, {9,37}, {13,23}, {12,28}, {8,22}, {9,20}, {4,15}, {1,28}, {3,29}, {8,37}, {5,28}, {12,26}, {2,17}, {14,17}, {8,21}, {1,24}, {14,22}, {13,24}, {6,27}, {5,31}, {12,30}, {8,23}, {10,32}, {5,36}, {3,21}, {6,19}, {13,15}, {1,15}, {1,35}, {14,20}, {14,25}, {3,16}, {13,26}, {2,21}, {5,33}, {9,18}, {10,17}, {11,37}, {3,24}, {2,29}, {11,27}, {8,38}, {2,22}, {4,34}, {1,16}, {6,38}, {9,36}, {5,26}, {4,18}, {11,19}, {12,24}, {8,20}, {3,28}, {7,27}, {14,35}, {13,37}, {7,24}, {5,15}, {7,33}, {6,37}, {13,34}, {7,35}, {2,30}, {2,18}, {7,19}, {6,35}, {9,21}, {3,36}, {14,27}, {8,29}, {12,18}, {1,36}, {7,18}, {10,16} }; // ETB38.9 (= ET38.11) // Bipartite(8,30) Valencies [15,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1146617856000000 EdgesBipt[38][9]:={ {1,15}, {7,19}, {5,32}, {6,12}, {5,14}, {8,24}, {8,31}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {2,22}, {6,36}, {8,36}, {5,35}, {1,38}, {1,9}, {2,33}, {7,31}, {1,32}, {7,23}, {3,10}, {2,28}, {3,34}, {3,31}, {6,34}, {2,18}, {6,9}, {2,15}, {5,26}, {4,26}, {8,14}, {8,13}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {1,29}, {4,12}, {7,28}, {7,10}, {5,33}, {3,11}, {5,23}, {4,37}, {2,10}, {4,20}, {1,17}, {3,13}, {2,16}, {6,33}, {6,21}, {2,36}, {8,18}, {7,29}, {7,25}, {3,22}, {5,15}, {8,26}, {3,23}, {7,13}, {5,29}, {4,31}, {4,30}, {2,34}, {6,15}, {4,36}, {4,25}, {2,9}, {1,35}, {1,26}, {8,19}, {7,35}, {4,38}, {2,24}, {2,27}, {5,38}, {3,35}, {1,23}, {2,21}, {5,27}, {6,30}, {8,38}, {2,12}, {5,20}, {8,32}, {3,28}, {5,17}, {8,20}, {6,16}, {7,16}, {1,14}, {4,32}, {1,20}, {1,27}, {5,11}, {7,22}, {3,16}, {4,18}, {3,25}, {8,25}, {7,37}, {1,33}, {3,17}, {8,37}, {3,37}, {6,24}, {8,30}, {6,27}, {7,34}, {7,17}, {4,13}, {1,21}, {2,30}, {4,19}, {4,24}, {8,12}, {6,28} }; // ETB38.10 (= ET38.12) // Bipartite(8,30) Valencies [15,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 143327232000000 EdgesBipt[38][10]:={ {1,15}, {7,19}, {6,12}, {3,15}, {8,24}, {2,38}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {5,30}, {6,36}, {1,31}, {6,17}, {4,27}, {8,36}, {5,35}, {7,24}, {6,23}, {2,20}, {1,25}, {7,38}, {4,16}, {2,37}, {5,24}, {1,9}, {2,33}, {7,31}, {5,13}, {8,34}, {3,10}, {3,34}, {6,34}, {2,19}, {2,15}, {4,26}, {8,14}, {6,22}, {5,37}, {1,29}, {8,22}, {2,14}, {5,23}, {3,11}, {4,20}, {6,11}, {2,31}, {7,26}, {8,28}, {1,17}, {2,32}, {4,33}, {8,10}, {8,18}, {4,28}, {2,13}, {3,9}, {7,25}, {3,22}, {5,19}, {7,20}, {8,26}, {3,23}, {7,13}, {5,29}, {7,14}, {3,27}, {1,19}, {4,21}, {7,30}, {4,15}, {2,9}, {1,35}, {6,29}, {4,38}, {2,27}, {3,35}, {1,23}, {2,21}, {6,30}, {7,18}, {8,38}, {4,22}, {8,32}, {3,28}, {5,36}, {5,31}, {5,17}, {8,16}, {8,20}, {6,16}, {3,21}, {4,32}, {1,37}, {1,27}, {5,11}, {3,16}, {1,13}, {7,32}, {2,26}, {7,37}, {1,33}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {6,35}, {5,18}, {8,30}, {4,34}, {3,33}, {7,36}, {7,12}, {1,21}, {5,25}, {4,10}, {8,12}, {6,28} }; // ETB38.11 (= ET38.13) // Bipartite(6,32) Valencies [16,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 63429799040778240000 EdgesBipt[38][11]:={ {4,8}, {5,33}, {4,24}, {6,34}, {2,37}, {1,24}, {5,37}, {4,36}, {2,32}, {2,29}, {5,29}, {1,32}, {4,34}, {2,24}, {6,14}, {6,26}, {4,10}, {5,10}, {3,21}, {1,36}, {6,31}, {3,27}, {3,33}, {6,10}, {6,30}, {1,20}, {1,12}, {2,36}, {3,23}, {3,37}, {1,31}, {4,16}, {3,9}, {2,12}, {6,7}, {3,29}, {2,33}, {6,15}, {2,21}, {4,30}, {5,9}, {4,32}, {5,21}, {4,12}, {2,16}, {4,18}, {1,7}, {5,25}, {1,15}, {3,11}, {1,16}, {3,7}, {2,20}, {3,15}, {4,38}, {5,38}, {3,17}, {3,25}, {4,20}, {6,38}, {3,19}, {5,17}, {6,27}, {3,31}, {5,30}, {1,27}, {4,28}, {4,22}, {6,18}, {6,19}, {2,28}, {6,22}, {1,28}, {5,14}, {2,17}, {5,18}, {3,13}, {6,35}, {5,26}, {1,8}, {5,34}, {1,19}, {2,9}, {5,13}, {6,11}, {4,26}, {2,13}, {2,25}, {2,8}, {4,14}, {1,35}, {1,23}, {1,11}, {5,22}, {6,23}, {3,35} }; // ETB38.12 (= ET38.14) // Bipartite(6,32) Valencies [16,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5283615080448 EdgesBipt[38][12]:={ {1,15}, {4,35}, {5,32}, {3,15}, {2,38}, {6,10}, {6,18}, {4,14}, {2,22}, {6,14}, {1,31}, {4,27}, {3,7}, {5,35}, {2,20}, {1,25}, {6,13}, {5,24}, {1,9}, {2,33}, {6,32}, {1,32}, {5,7}, {5,13}, {2,28}, {3,31}, {6,34}, {2,18}, {6,22}, {5,21}, {3,19}, {5,37}, {4,12}, {1,34}, {2,14}, {5,23}, {3,11}, {4,37}, {2,10}, {4,20}, {1,10}, {1,17}, {1,16}, {6,21}, {2,36}, {2,17}, {4,28}, {3,9}, {4,29}, {5,19}, {5,15}, {6,8}, {3,23}, {6,37}, {5,29}, {3,27}, {2,34}, {4,30}, {6,26}, {4,36}, {4,21}, {2,9}, {1,26}, {6,29}, {4,38}, {4,11}, {3,35}, {1,23}, {5,27}, {1,7}, {6,30}, {5,8}, {6,38}, {2,12}, {4,22}, {3,28}, {5,31}, {3,12}, {6,16}, {5,11}, {3,25}, {2,26}, {3,20}, {1,33}, {2,25}, {3,36}, {3,17}, {6,24}, {3,33}, {1,8}, {5,16}, {4,13}, {2,30}, {1,18}, {4,19}, {1,24} }; // ETB38.13 (= ET38.15) // Bipartite(19,19) Valencies [18,18] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 243290200817664000 EdgesBipt[38][13]:={ {13,21}, {15,33}, {6,38}, {19,28}, {10,37}, {15,38}, {14,36}, {9,32}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {3,20}, {1,21}, {19,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {19,20}, {19,21}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,26}, {14,32}, {2,36}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,20}, {18,26}, {18,33}, {3,38}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {19,30}, {8,24}, {9,38}, {14,21}, {18,20}, {18,38}, {3,29}, {13,36}, {2,23}, {15,23}, {9,22}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {18,31}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {6,20}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {15,29}, {2,22}, {16,20}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {17,37}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {14,22}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB38.14 (= ET38.16) // Bipartite(19,19) Valencies [19,19] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 29595060906949638427087208448000000 EdgesBipt[38][14]:={ {13,21}, {15,33}, {6,38}, {19,28}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {3,20}, {1,21}, {3,21}, {16,37}, {19,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {19,20}, {19,21}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {19,30}, {8,24}, {9,38}, {14,21}, {9,26}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {15,23}, {9,22}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {2,20}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {18,31}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {17,34}, {11,31}, {14,24}, {19,35}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {14,22}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB38.15 (= ET38.17) // Bipartite(18,20) Valencies [20,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15576347845762967593203793920000000 EdgesBipt[38][15]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {1,21}, {3,21}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {8,24}, {9,38}, {14,21}, {9,26}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {18,31}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {3,37}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB38.16 (= ET38.18) // Bipartite(17,21) Valencies [21,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18172405820056795525404426240000000 EdgesBipt[38][16]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {17,19}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {6,23}, {16,31}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {3,37}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB38.17 (= ET38.19) // Bipartite(16,22) Valencies [22,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23517231061249970679935139840000000 EdgesBipt[38][17]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {6,23}, {16,31}, {15,17}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {3,37}, {14,22}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB38.18 (= ET38.20) // Bipartite(15,23) Valencies [23,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33806019650546832852406763520000000 EdgesBipt[38][18]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,22}, {14,37}, {13,38}, {6,23}, {15,17}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB38.19 (= ET38.21) // Bipartite(14,24) Valencies [24,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 54089631440874932563850821632000000 EdgesBipt[38][19]:={ {13,21}, {6,38}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {14,38}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {6,17}, {5,28}, {8,18}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {14,37}, {13,38}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {11,31}, {14,24}, {3,15}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB38.20 (= ET38.22) // Bipartite(13,25) Valencies [25,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 96588627572990951006876467200000000 EdgesBipt[38][20]:={ {13,21}, {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {4,37}, {13,27}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {10,38}, {6,16}, {11,33}, {13,25}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {13,38}, {4,15}, {6,23}, {13,14}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {13,34}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {3,37}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB38.21 (= ET38.23) // Bipartite(12,26) Valencies [26,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 193177255145981902013752934400000000 EdgesBipt[38][21]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {12,38}, {1,13}, {12,26}, {7,27}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {10,38}, {6,16}, {11,33}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {11,13}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,37}, {7,13}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB38.22 (= ET38.24) // Bipartite(11,27) Valencies [27,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 434648824078459279530944102400000000 EdgesBipt[38][22]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {1,13}, {7,27}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB38.23 (= ET38.25) // Bipartite(10,28) Valencies [28,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1106378824926987256987857715200000000 EdgesBipt[38][23]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {8,26}, {5,11}, {2,35}, {4,31}, {6,15}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {1,13}, {7,27}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37} }; // ETB38.24 (= ET38.26) // Bipartite(9,29) Valencies [29,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3208498592288263045264787374080000000 EdgesBipt[38][24]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {7,38}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {4,23}, {8,27}, {8,31}, {9,11}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {4,38}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {7,11}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {2,38}, {9,19}, {2,37}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {9,14}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {9,34}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {9,37}, {8,13}, {8,22}, {8,35}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {4,36}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {1,35}, {1,37}, {7,28}, {3,16}, {4,37}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {3,24}, {2,29}, {8,38}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {9,17}, {8,24}, {6,25}, {6,38}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {9,38}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {5,15}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {9,23}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB38.25 (= ET38.27) // Bipartite(8,30) Valencies [30,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10694995307627543484215957913600000000 EdgesBipt[38][25]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {8,9}, {3,9}, {7,38}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {4,38}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {8,14}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {7,28}, {3,16}, {4,37}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {8,38}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,38}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB38.26 (= ET38.28) // Bipartite(7,31) Valencies [31,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 41443106817056731001336836915200000000 EdgesBipt[38][26]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {4,38}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {6,8}, {5,25}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {7,28}, {3,16}, {4,37}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,38}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB38.27 (= ET38.29) // Bipartite(6,32) Valencies [32,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 189454202592259341720396968755200000000 EdgesBipt[38][27]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {4,38}, {6,21}, {3,34}, {2,25}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {6,8}, {5,25}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {3,16}, {4,37}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,37}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {5,37}, {4,17}, {6,35}, {3,36}, {4,32}, {1,36}, {5,16} }; // ETB38.28 (= ET38.30) // Bipartite(5,33) Valencies [33,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1041998114257426379462183328153600000000 EdgesBipt[38][28]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {3,18}, {3,17}, {3,7}, {4,38}, {3,34}, {2,25}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {5,25}, {1,31}, {3,12}, {2,35}, {1,22}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {3,26}, {5,28}, {2,17}, {4,36}, {4,6}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {3,16}, {4,37}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,31}, {5,10}, {5,27}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {5,6}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {5,21}, {2,30}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {3,36}, {4,32}, {1,36}, {5,16} }; // ETB38.29 (= ET38.31) // Bipartite(4,34) Valencies [34,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7085587176950499380342846631444480000000 EdgesBipt[38][29]:={ {1,15}, {4,35}, {3,15}, {2,38}, {1,11}, {4,14}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {2,34}, {3,27}, {4,30}, {1,19}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {4,38}, {2,24}, {4,11}, {2,27}, {3,35}, {1,23}, {2,21}, {1,7}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {4,9}, {2,7}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB38.30 (= ET38.32) // Bipartite(3,35) Valencies [35,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 61998887798316869577999908025139200000000 EdgesBipt[38][30]:={ {1,15}, {3,15}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {2,11}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {2,34}, {3,27}, {1,19}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {3,35}, {1,23}, {2,21}, {1,7}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB38.31 (= ET38.33) // Bipartite(2,36) Valencies [36,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 743986653579802434935998896301670400000000 EdgesBipt[38][31]:={ {2,11}, {1,26}, {2,14}, {1,14}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,10}, {1,36}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {1,38}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,38}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB38.32 (= ET38.35) // Bipartite(1,37) Valencies [37,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 13763753091226345046315979581580902400000000 EdgesBipt[38][32]:={ {1,4}, {1,20}, {1,3}, {1,34}, {1,37}, {1,30}, {1,14}, {1,23}, {1,33}, {1,24}, {1,38}, {1,7}, {1,27}, {1,29}, {1,35}, {1,5}, {1,15}, {1,22}, {1,28}, {1,16}, {1,10}, {1,12}, {1,13}, {1,17}, {1,2}, {1,11}, {1,36}, {1,19}, {1,18}, {1,25}, {1,32}, {1,21}, {1,9}, {1,26}, {1,31}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 38 is 32 // ******************************************************************************************** // Order 39 // ETB39.1 (= ET39.2) // Bipartite(13,26) Valencies [4,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 52 EdgesBipt[39][1]:={ {5,33}, {9,19}, {1,14}, {4,36}, {8,31}, {2,29}, {4,34}, {7,34}, {8,38}, {8,16}, {1,36}, {3,27}, {11,23}, {7,33}, {9,37}, {9,32}, {13,18}, {2,21}, {5,16}, {5,21}, {2,20}, {3,17}, {11,32}, {4,20}, {11,22}, {6,38}, {3,30}, {6,27}, {12,37}, {2,15}, {12,14}, {3,26}, {12,29}, {8,35}, {10,24}, {13,23}, {1,17}, {13,15}, {4,25}, {6,19}, {6,25}, {7,39}, {5,26}, {10,28}, {12,28}, {1,22}, {9,39}, {13,30}, {11,31}, {10,35}, {10,18}, {7,24} }; // ETB39.2 (= ET39.3) // Bipartite(13,26) Valencies [4,2] // Diameter 13 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 212992 EdgesBipt[39][2]:={ {5,28}, {13,19}, {3,16}, {11,18}, {3,29}, {4,24}, {8,35}, {4,39}, {1,14}, {9,19}, {5,30}, {7,16}, {1,38}, {3,14}, {1,27}, {8,24}, {9,32}, {12,22}, {13,32}, {2,26}, {10,34}, {6,23}, {4,37}, {11,31}, {10,23}, {2,28}, {12,35}, {3,27}, {7,31}, {12,33}, {6,38}, {5,15}, {11,33}, {12,20}, {7,18}, {2,39}, {11,20}, {8,37}, {10,21}, {6,36}, {1,25}, {5,17}, {9,30}, {8,22}, {6,25}, {2,15}, {4,26}, {13,21}, {7,29}, {10,36}, {9,17}, {13,34} }; // ETB39.3 (= ET39.6) // Bipartite(13,26) Valencies [6,3] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 78 EdgesBipt[39][3]:={ {12,38}, {5,33}, {12,20}, {10,15}, {6,37}, {13,19}, {1,14}, {4,37}, {5,24}, {2,30}, {9,25}, {11,17}, {11,25}, {1,32}, {7,34}, {9,31}, {12,33}, {6,26}, {2,39}, {12,16}, {13,26}, {10,36}, {2,36}, {4,31}, {11,37}, {4,16}, {8,29}, {10,33}, {3,29}, {6,32}, {7,30}, {8,32}, {5,21}, {1,38}, {7,27}, {10,16}, {3,28}, {6,20}, {3,17}, {5,19}, {8,36}, {11,35}, {5,28}, {3,25}, {13,39}, {9,27}, {4,20}, {5,17}, {12,23}, {2,15}, {3,14}, {3,18}, {1,18}, {10,29}, {7,38}, {9,34}, {7,21}, {13,35}, {4,15}, {2,27}, {4,22}, {9,22}, {8,26}, {9,14}, {13,24}, {6,35}, {8,18}, {10,28}, {1,34}, {1,23}, {13,30}, {11,19}, {11,31}, {6,23}, {2,22}, {7,24}, {8,39}, {12,21} }; // ETB39.4 (= ET39.7) // Bipartite(13,26) Valencies [6,3] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 319488 EdgesBipt[39][4]:={ {5,33}, {10,15}, {9,19}, {1,14}, {6,39}, {6,33}, {2,30}, {1,29}, {7,23}, {9,21}, {7,31}, {8,16}, {8,23}, {6,26}, {11,24}, {8,21}, {6,31}, {13,25}, {12,30}, {5,15}, {2,36}, {11,37}, {3,37}, {3,24}, {8,29}, {13,14}, {3,29}, {9,32}, {4,30}, {7,36}, {4,32}, {5,20}, {3,16}, {1,16}, {10,26}, {4,38}, {7,18}, {10,34}, {6,20}, {13,33}, {8,36}, {5,28}, {11,32}, {9,27}, {12,37}, {2,15}, {3,18}, {3,31}, {12,24}, {13,20}, {4,17}, {7,25}, {7,38}, {9,34}, {8,34}, {1,27}, {13,38}, {10,39}, {6,18}, {4,25}, {2,28}, {12,22}, {2,17}, {9,14}, {12,35}, {2,23}, {5,35}, {11,39}, {10,28}, {11,26}, {10,21}, {13,27}, {1,22}, {1,35}, {4,19}, {11,19}, {12,17}, {5,22} }; // ETB39.5 (= ET39.10) // Bipartite(13,26) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 425984 EdgesBipt[39][5]:={ {10,19}, {13,14}, {11,15}, {8,39}, {8,24}, {12,26}, {6,18}, {12,39}, {3,29}, {2,22}, {5,30}, {12,16}, {1,31}, {7,24}, {10,38}, {5,34}, {1,25}, {7,33}, {12,22}, {5,24}, {13,34}, {1,38}, {7,31}, {12,33}, {7,27}, {13,27}, {11,38}, {2,28}, {9,31}, {2,19}, {2,15}, {4,26}, {6,22}, {5,21}, {10,23}, {5,37}, {11,34}, {1,34}, {9,38}, {10,36}, {8,33}, {4,39}, {10,25}, {2,32}, {3,14}, {10,16}, {5,15}, {7,20}, {8,26}, {6,37}, {8,17}, {3,23}, {7,14}, {11,28}, {3,27}, {4,30}, {6,15}, {4,36}, {4,17}, {2,35}, {5,28}, {12,29}, {12,35}, {13,30}, {9,25}, {10,29}, {6,31}, {9,35}, {11,19}, {7,18}, {2,39}, {5,17}, {11,25}, {8,20}, {11,21}, {1,14}, {9,18}, {4,32}, {13,21}, {1,27}, {11,32}, {3,16}, {9,29}, {13,23}, {2,26}, {10,32}, {13,36}, {7,37}, {13,17}, {3,20}, {3,36}, {8,37}, {6,35}, {6,24}, {8,30}, {9,16}, {3,33}, {4,23}, {1,21}, {12,20}, {1,18}, {4,19}, {9,22}, {6,28} }; // ETB39.6 (= ET39.11) // Bipartite(13,26) Valencies [8,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46006272 EdgesBipt[39][6]:={ {4,35}, {13,25}, {5,14}, {10,21}, {13,29}, {8,39}, {10,22}, {9,30}, {6,36}, {12,16}, {1,31}, {11,29}, {6,23}, {7,38}, {12,15}, {12,31}, {5,24}, {3,32}, {7,31}, {11,16}, {12,18}, {11,22}, {7,23}, {8,34}, {13,38}, {6,34}, {2,19}, {2,18}, {9,17}, {10,30}, {3,19}, {5,37}, {8,15}, {13,16}, {2,14}, {5,33}, {10,34}, {4,20}, {9,27}, {2,31}, {8,28}, {1,17}, {2,32}, {6,33}, {6,21}, {8,21}, {4,33}, {4,28}, {7,25}, {10,37}, {9,23}, {10,24}, {8,26}, {3,23}, {11,39}, {2,34}, {12,28}, {12,29}, {13,30}, {4,15}, {9,15}, {1,26}, {11,26}, {11,14}, {6,29}, {7,35}, {12,24}, {2,27}, {5,38}, {2,21}, {5,27}, {1,39}, {7,18}, {8,38}, {13,32}, {5,20}, {9,28}, {4,22}, {3,26}, {3,24}, {6,16}, {6,20}, {10,17}, {11,27}, {4,32}, {3,39}, {1,20}, {7,22}, {8,25}, {13,17}, {1,33}, {9,14}, {3,36}, {3,37}, {9,36}, {10,35}, {13,19}, {7,36}, {1,30}, {12,37}, {11,35}, {1,18}, {5,25}, {4,19} }; // ETB39.7 (= ET39.12) // Bipartite(15,24) Valencies [8,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 137594142720 EdgesBipt[39][7]:={ {13,25}, {6,39}, {10,21}, {8,31}, {10,22}, {12,39}, {9,30}, {3,29}, {5,30}, {10,27}, {7,24}, {12,17}, {5,24}, {12,33}, {6,25}, {11,16}, {11,38}, {11,22}, {12,27}, {14,35}, {8,34}, {13,38}, {14,20}, {3,31}, {2,18}, {15,32}, {13,20}, {5,21}, {2,29}, {3,19}, {1,29}, {8,22}, {7,28}, {12,21}, {11,34}, {1,34}, {15,39}, {9,38}, {5,33}, {4,37}, {10,34}, {2,23}, {8,28}, {1,17}, {13,26}, {1,22}, {6,33}, {1,16}, {6,21}, {2,36}, {2,17}, {10,39}, {10,16}, {14,38}, {15,20}, {6,37}, {3,23}, {11,28}, {4,31}, {4,30}, {10,33}, {14,26}, {4,36}, {7,30}, {2,35}, {15,33}, {12,29}, {12,35}, {4,25}, {1,35}, {8,19}, {11,26}, {15,26}, {12,23}, {14,32}, {2,24}, {6,31}, {6,19}, {14,17}, {15,21}, {3,35}, {1,23}, {5,27}, {10,28}, {7,18}, {13,32}, {14,23}, {5,36}, {8,16}, {9,24}, {7,16}, {9,26}, {9,18}, {11,32}, {7,22}, {15,27}, {4,18}, {8,25}, {3,25}, {15,38}, {11,20}, {14,29}, {1,28}, {8,37}, {3,17}, {3,37}, {9,32}, {5,18}, {9,36}, {13,31}, {6,27}, {7,34}, {13,19}, {13,37}, {7,36}, {5,39}, {2,30}, {4,19}, {4,24}, {9,20} }; // ETB39.8 (= ET39.13) // Bipartite(15,24) Valencies [8,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 491520 EdgesBipt[39][8]:={ {10,19}, {14,39}, {5,32}, {13,29}, {8,31}, {6,18}, {3,29}, {3,38}, {6,36}, {6,17}, {5,35}, {13,24}, {14,19}, {14,18}, {4,16}, {12,22}, {5,24}, {12,33}, {9,39}, {13,27}, {12,18}, {11,22}, {7,23}, {13,38}, {2,28}, {3,34}, {2,19}, {4,26}, {15,32}, {14,27}, {5,37}, {1,29}, {7,28}, {12,21}, {12,30}, {1,34}, {11,34}, {15,39}, {5,23}, {4,37}, {9,27}, {2,31}, {2,23}, {8,33}, {1,17}, {10,25}, {13,26}, {2,16}, {1,22}, {14,30}, {1,16}, {12,34}, {2,36}, {8,21}, {4,33}, {9,34}, {7,29}, {4,28}, {10,31}, {10,16}, {3,22}, {10,37}, {9,23}, {8,26}, {14,38}, {15,20}, {11,39}, {14,26}, {7,30}, {4,21}, {2,35}, {15,33}, {12,35}, {4,25}, {8,19}, {11,37}, {6,29}, {7,35}, {4,38}, {12,23}, {2,24}, {6,31}, {11,36}, {6,19}, {15,21}, {6,30}, {10,28}, {9,35}, {15,18}, {7,18}, {14,31}, {8,38}, {8,32}, {5,20}, {5,36}, {3,26}, {11,25}, {8,20}, {7,16}, {11,27}, {15,27}, {3,25}, {10,32}, {13,36}, {13,17}, {1,33}, {1,28}, {3,17}, {10,20}, {3,37}, {6,24}, {9,32}, {15,30}, {7,17}, {11,24}, {1,21}, {5,25}, {9,20}, {9,22}, {13,39} }; // ETB39.9 (= ET39.16) // Bipartite(12,27) Valencies [9,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[39][9]:={ {1,15}, {10,19}, {7,19}, {10,21}, {3,15}, {8,39}, {8,24}, {12,26}, {2,38}, {10,22}, {3,29}, {6,14}, {5,30}, {6,17}, {6,23}, {7,38}, {4,16}, {12,17}, {7,33}, {12,31}, {2,37}, {12,14}, {5,24}, {3,32}, {6,32}, {9,19}, {9,21}, {12,18}, {11,22}, {12,27}, {2,28}, {3,31}, {6,34}, {2,18}, {8,13}, {2,29}, {10,30}, {7,28}, {11,34}, {5,23}, {4,37}, {10,36}, {1,36}, {2,16}, {6,33}, {8,21}, {4,33}, {9,34}, {10,39}, {2,13}, {10,15}, {10,31}, {7,20}, {8,35}, {7,13}, {11,39}, {3,23}, {5,29}, {3,27}, {11,18}, {12,28}, {7,30}, {9,25}, {4,15}, {1,35}, {11,37}, {11,26}, {11,14}, {4,38}, {5,22}, {2,27}, {5,38}, {3,35}, {1,39}, {4,22}, {9,28}, {5,31}, {5,17}, {11,25}, {12,36}, {8,20}, {6,20}, {9,26}, {3,21}, {1,14}, {1,37}, {1,27}, {3,16}, {1,13}, {8,25}, {1,33}, {2,25}, {12,32}, {9,32}, {6,24}, {6,35}, {5,18}, {8,30}, {10,26}, {4,34}, {9,16}, {7,36}, {7,17}, {4,23}, {11,24}, {4,19}, {9,20}, {8,29} }; // ETB39.10 (= ET39.17) // Bipartite(12,27) Valencies [9,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46438023168 EdgesBipt[39][10]:={ {1,15}, {4,35}, {8,39}, {11,17}, {8,24}, {2,38}, {10,22}, {6,18}, {12,19}, {3,29}, {6,14}, {3,38}, {5,30}, {6,36}, {1,31}, {5,35}, {7,24}, {6,23}, {2,20}, {4,16}, {7,33}, {12,14}, {2,33}, {6,32}, {7,31}, {12,18}, {1,32}, {12,27}, {7,23}, {7,15}, {3,34}, {2,15}, {5,26}, {4,26}, {5,21}, {2,29}, {5,37}, {3,18}, {8,15}, {9,38}, {10,34}, {9,27}, {8,33}, {10,25}, {1,22}, {10,13}, {8,21}, {9,34}, {10,31}, {10,16}, {5,19}, {6,37}, {7,13}, {11,39}, {7,14}, {4,31}, {11,28}, {3,27}, {12,28}, {4,17}, {5,28}, {9,25}, {4,25}, {11,26}, {11,37}, {12,23}, {2,24}, {6,19}, {1,23}, {2,21}, {11,19}, {8,38}, {2,39}, {4,22}, {5,17}, {12,36}, {8,20}, {11,21}, {1,14}, {11,30}, {9,18}, {10,17}, {7,22}, {3,16}, {1,13}, {9,29}, {3,25}, {7,32}, {3,20}, {1,33}, {12,32}, {3,36}, {8,30}, {10,26}, {9,36}, {4,34}, {10,35}, {6,27}, {9,16}, {5,39}, {11,35}, {12,37}, {4,13}, {2,30}, {9,20}, {1,24}, {8,29}, {6,28} }; // ETB39.11 (= ET39.18) // Bipartite(12,27) Valencies [9,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4353564672 EdgesBipt[39][11]:={ {9,13}, {10,19}, {5,32}, {11,15}, {5,14}, {3,15}, {11,17}, {8,31}, {2,38}, {9,30}, {12,19}, {2,22}, {6,14}, {11,33}, {6,17}, {6,23}, {2,20}, {5,34}, {4,16}, {2,33}, {6,32}, {7,31}, {9,39}, {7,27}, {9,21}, {11,16}, {12,18}, {3,30}, {12,27}, {8,34}, {9,31}, {2,15}, {8,13}, {10,23}, {2,29}, {3,18}, {8,22}, {11,34}, {5,23}, {4,20}, {2,31}, {7,26}, {8,28}, {4,39}, {1,17}, {2,13}, {10,15}, {4,29}, {10,37}, {9,23}, {10,24}, {7,13}, {3,27}, {4,30}, {6,26}, {10,33}, {1,19}, {12,28}, {4,21}, {12,29}, {4,25}, {1,35}, {1,26}, {8,19}, {11,26}, {6,29}, {7,35}, {4,38}, {2,24}, {12,38}, {5,27}, {10,28}, {1,39}, {6,38}, {7,18}, {10,14}, {5,36}, {8,16}, {3,24}, {11,25}, {12,36}, {6,20}, {3,21}, {3,39}, {1,37}, {7,22}, {8,25}, {10,32}, {9,14}, {1,28}, {3,36}, {8,37}, {9,32}, {6,35}, {5,18}, {4,34}, {3,33}, {7,36}, {7,17}, {11,24}, {1,30}, {5,16}, {11,35}, {12,37}, {1,21}, {12,20}, {5,25}, {9,22} }; // ETB39.12 (= ET39.19) // Bipartite(9,30) Valencies [10,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 214990848000000 EdgesBipt[39][12]:={ {3,22}, {4,13}, {4,24}, {5,32}, {9,23}, {4,37}, {5,37}, {6,39}, {4,36}, {6,33}, {9,20}, {2,10}, {1,37}, {8,23}, {1,10}, {8,11}, {2,39}, {6,12}, {9,38}, {6,30}, {4,31}, {8,24}, {3,23}, {9,11}, {1,31}, {7,33}, {6,36}, {8,29}, {3,29}, {2,33}, {6,15}, {9,32}, {4,30}, {2,21}, {4,12}, {5,20}, {7,27}, {9,29}, {4,18}, {2,16}, {7,32}, {5,25}, {5,31}, {3,11}, {3,16}, {3,28}, {1,16}, {5,38}, {3,17}, {5,19}, {8,36}, {7,15}, {6,27}, {2,15}, {8,12}, {6,21}, {7,38}, {7,21}, {9,35}, {8,35}, {7,20}, {2,27}, {6,18}, {4,25}, {2,28}, {3,34}, {1,28}, {5,14}, {9,14}, {7,39}, {5,26}, {1,13}, {8,18}, {5,13}, {1,19}, {2,34}, {9,26}, {1,22}, {1,34}, {4,19}, {7,14}, {8,30}, {1,25}, {8,17}, {2,22}, {9,17}, {6,24}, {3,10}, {3,35}, {7,26} }; // ETB39.13 (= ET39.20) // Bipartite(13,26) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 156 EdgesBipt[39][13]:={ {4,35}, {7,19}, {13,25}, {7,39}, {11,15}, {10,21}, {13,29}, {8,39}, {11,17}, {8,24}, {8,31}, {12,26}, {10,22}, {12,39}, {4,14}, {9,30}, {12,19}, {3,29}, {3,38}, {5,30}, {6,17}, {13,18}, {10,27}, {8,36}, {5,35}, {2,20}, {13,24}, {12,17}, {2,37}, {12,14}, {6,32}, {12,33}, {7,27}, {9,19}, {9,21}, {11,16}, {1,32}, {11,22}, {7,23}, {8,34}, {13,38}, {2,28}, {3,34}, {9,31}, {12,25}, {3,31}, {6,34}, {2,15}, {5,26}, {4,26}, {10,18}, {13,20}, {2,29}, {3,19}, {1,29}, {8,22}, {12,21}, {11,34}, {12,30}, {9,38}, {5,33}, {5,23}, {4,37}, {4,20}, {10,34}, {9,27}, {2,31}, {13,33}, {7,26}, {8,33}, {8,28}, {1,17}, {10,25}, {2,16}, {1,22}, {6,33}, {6,21}, {2,36}, {8,18}, {4,28}, {10,39}, {3,14}, {10,15}, {7,25}, {5,15}, {7,20}, {3,23}, {3,27}, {10,33}, {4,36}, {13,30}, {4,15}, {10,29}, {1,35}, {8,19}, {11,26}, {11,37}, {6,29}, {7,35}, {12,24}, {4,38}, {5,22}, {2,27}, {6,19}, {5,38}, {1,23}, {2,21}, {5,27}, {1,39}, {6,38}, {7,18}, {2,39}, {13,32}, {9,28}, {10,14}, {11,31}, {5,36}, {8,16}, {5,17}, {11,25}, {12,36}, {8,23}, {7,16}, {6,20}, {6,16}, {9,26}, {11,21}, {1,14}, {9,18}, {1,37}, {11,32}, {4,18}, {7,32}, {3,25}, {13,23}, {7,37}, {13,15}, {9,14}, {1,28}, {3,36}, {3,17}, {3,37}, {6,35}, {9,32}, {13,31}, {4,34}, {10,35}, {11,24}, {1,30}, {5,16}, {2,30}, {12,20}, {4,24}, {1,24}, {6,28}, {9,22} }; // ETB39.14 (= ET39.21) // Bipartite(13,26) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 638976 EdgesBipt[39][14]:={ {13,14}, {7,19}, {13,25}, {5,32}, {8,39}, {11,17}, {8,24}, {12,26}, {10,22}, {6,18}, {11,23}, {12,39}, {4,14}, {12,19}, {3,29}, {3,38}, {5,30}, {4,27}, {6,17}, {11,29}, {1,25}, {4,16}, {2,37}, {12,14}, {12,22}, {3,32}, {13,34}, {1,38}, {6,25}, {9,39}, {12,33}, {7,27}, {9,19}, {13,27}, {9,21}, {11,16}, {12,27}, {7,15}, {8,34}, {13,38}, {2,28}, {9,31}, {3,31}, {2,18}, {2,15}, {5,26}, {4,26}, {10,18}, {6,22}, {13,20}, {10,23}, {3,19}, {1,29}, {3,18}, {8,22}, {8,15}, {7,28}, {11,34}, {9,38}, {5,33}, {4,20}, {2,31}, {2,23}, {10,36}, {13,33}, {8,28}, {4,39}, {1,36}, {1,17}, {1,22}, {6,33}, {1,16}, {2,36}, {8,21}, {2,17}, {4,33}, {9,34}, {3,14}, {10,15}, {10,31}, {4,29}, {10,16}, {5,19}, {9,23}, {5,15}, {8,35}, {8,26}, {6,37}, {7,14}, {4,31}, {3,27}, {10,33}, {7,30}, {4,21}, {5,28}, {12,35}, {9,25}, {10,29}, {1,35}, {11,37}, {7,35}, {12,24}, {2,24}, {6,31}, {11,36}, {5,38}, {1,23}, {6,30}, {10,28}, {11,19}, {6,38}, {2,39}, {5,20}, {8,16}, {5,17}, {3,24}, {13,28}, {6,20}, {9,26}, {11,21}, {1,14}, {11,30}, {9,18}, {13,21}, {1,27}, {7,22}, {11,32}, {3,16}, {4,18}, {7,32}, {3,25}, {13,23}, {2,26}, {13,36}, {7,21}, {13,15}, {12,32}, {8,37}, {10,20}, {3,37}, {6,24}, {6,35}, {9,32}, {9,36}, {4,34}, {10,35}, {7,34}, {7,17}, {11,24}, {1,30}, {5,39}, {12,37}, {2,30}, {12,20}, {5,25}, {8,29} }; // ETB39.15 (= ET39.24) // Bipartite(18,21) Valencies [14,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 286708355039232000000 EdgesBipt[39][15]:={ {3,33}, {10,25}, {1,20}, {2,24}, {11,20}, {9,28}, {13,32}, {2,33}, {17,35}, {11,36}, {17,36}, {18,39}, {11,35}, {15,24}, {16,26}, {4,26}, {3,22}, {17,38}, {10,37}, {8,30}, {14,39}, {2,23}, {5,38}, {12,22}, {7,38}, {16,31}, {15,31}, {4,29}, {1,32}, {8,33}, {3,25}, {10,23}, {10,26}, {17,20}, {4,19}, {14,38}, {16,19}, {7,22}, {12,39}, {4,31}, {1,19}, {2,27}, {5,20}, {3,37}, {13,35}, {2,26}, {8,39}, {7,34}, {17,24}, {16,25}, {17,21}, {18,21}, {12,34}, {5,32}, {16,23}, {4,23}, {8,27}, {12,37}, {13,29}, {16,29}, {18,34}, {10,22}, {6,22}, {15,25}, {18,37}, {4,38}, {6,21}, {3,34}, {14,23}, {11,38}, {11,33}, {6,31}, {1,38}, {14,33}, {2,36}, {4,22}, {10,38}, {7,20}, {14,21}, {14,36}, {9,27}, {12,36}, {5,29}, {2,38}, {9,19}, {14,30}, {2,39}, {7,32}, {17,39}, {17,23}, {1,31}, {7,25}, {10,28}, {14,24}, {2,35}, {17,33}, {1,22}, {15,27}, {6,30}, {5,23}, {10,29}, {10,31}, {9,34}, {13,22}, {15,19}, {2,20}, {16,37}, {1,29}, {3,39}, {13,31}, {18,30}, {11,21}, {4,35}, {9,25}, {8,36}, {6,33}, {2,32}, {7,26}, {16,32}, {11,23}, {1,23}, {11,29}, {6,24}, {5,30}, {17,30}, {11,30}, {5,24}, {9,37}, {17,27}, {13,23}, {12,28}, {12,25}, {15,37}, {15,34}, {13,25}, {18,24}, {8,35}, {13,28}, {1,28}, {18,27}, {3,27}, {18,36}, {4,28}, {18,33}, {16,38}, {15,36}, {8,26}, {18,31}, {16,22}, {9,22}, {7,31}, {12,33}, {12,27}, {8,32}, {8,21}, {3,19}, {6,27}, {11,24}, {11,39}, {12,19}, {12,30}, {8,23}, {18,19}, {10,32}, {18,25}, {17,29}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {1,35}, {1,37}, {14,20}, {15,21}, {16,34}, {5,39}, {7,28}, {4,37}, {11,26}, {13,26}, {10,35}, {7,23}, {13,19}, {6,36}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {11,27}, {16,35}, {18,28}, {8,38}, {1,26}, {4,34}, {10,34}, {15,22}, {18,22}, {11,32}, {14,32}, {15,33}, {16,20}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {15,28}, {9,39}, {13,38}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {14,35}, {13,37}, {3,31}, {15,39}, {9,24}, {10,20}, {17,26}, {6,39}, {6,37}, {12,31}, {13,34}, {7,35}, {5,21}, {2,30}, {15,30}, {7,37}, {13,20}, {5,35}, {9,31}, {1,34}, {7,19}, {17,32}, {9,21}, {3,36}, {16,28}, {14,27}, {8,29}, {4,32}, {12,21}, {14,29}, {14,26} }; // ETB39.16 (= ET39.25) // Bipartite(15,24) Valencies [16,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 679604989722624000000 EdgesBipt[39][16]:={ {11,17}, {3,33}, {10,25}, {1,20}, {5,17}, {2,24}, {11,20}, {9,28}, {13,32}, {2,33}, {6,16}, {11,36}, {11,35}, {15,24}, {4,26}, {3,22}, {4,16}, {10,37}, {8,30}, {14,39}, {2,23}, {5,38}, {12,22}, {7,38}, {15,31}, {4,29}, {1,32}, {8,33}, {3,25}, {10,23}, {10,26}, {4,19}, {14,38}, {7,22}, {12,39}, {4,31}, {1,19}, {2,27}, {5,20}, {3,37}, {13,35}, {2,26}, {8,39}, {7,34}, {12,34}, {5,32}, {4,23}, {8,27}, {12,37}, {13,29}, {13,16}, {10,22}, {15,16}, {6,22}, {15,25}, {3,18}, {4,38}, {6,21}, {3,34}, {14,23}, {11,38}, {6,31}, {11,33}, {1,38}, {14,33}, {1,17}, {2,36}, {4,22}, {10,38}, {7,20}, {14,21}, {14,36}, {9,27}, {12,36}, {5,29}, {2,38}, {9,19}, {14,30}, {2,39}, {7,32}, {1,31}, {7,25}, {10,28}, {14,24}, {2,35}, {1,22}, {15,27}, {6,30}, {12,16}, {5,23}, {10,29}, {10,31}, {9,34}, {13,22}, {15,19}, {2,20}, {6,18}, {1,29}, {8,17}, {3,39}, {13,31}, {11,21}, {4,35}, {9,25}, {7,16}, {8,36}, {6,33}, {2,32}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {9,37}, {13,23}, {12,28}, {12,25}, {15,37}, {15,34}, {13,25}, {8,35}, {13,28}, {1,28}, {3,27}, {4,28}, {15,36}, {8,26}, {9,22}, {7,31}, {12,33}, {2,17}, {12,27}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {6,27}, {11,24}, {11,39}, {12,19}, {12,30}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {9,30}, {1,35}, {1,37}, {14,20}, {15,21}, {5,39}, {7,28}, {3,16}, {4,37}, {11,26}, {13,26}, {15,18}, {10,35}, {7,23}, {13,19}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {8,38}, {1,26}, {4,34}, {1,16}, {10,34}, {15,22}, {11,32}, {14,32}, {15,33}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {15,28}, {9,39}, {13,38}, {10,19}, {4,25}, {4,20}, {3,28}, {8,20}, {12,24}, {14,35}, {13,37}, {3,31}, {15,39}, {9,24}, {10,20}, {6,39}, {6,37}, {12,31}, {13,34}, {7,35}, {5,21}, {2,30}, {13,17}, {15,30}, {7,37}, {13,20}, {5,35}, {2,18}, {9,31}, {1,34}, {7,19}, {4,17}, {9,21}, {9,16}, {3,36}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {14,29}, {14,26}, {10,16} }; // ETB39.17 (= ET39.26) // Bipartite(15,24) Valencies [16,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 137594142720 EdgesBipt[39][17]:={ {11,17}, {5,17}, {10,24}, {10,25}, {11,20}, {9,28}, {13,32}, {2,33}, {6,32}, {11,36}, {4,27}, {12,29}, {11,35}, {5,34}, {4,24}, {14,19}, {15,24}, {4,16}, {10,37}, {4,30}, {14,39}, {2,23}, {5,38}, {12,22}, {12,32}, {8,28}, {4,29}, {1,27}, {3,25}, {10,23}, {12,38}, {14,38}, {7,22}, {12,39}, {2,19}, {1,19}, {2,27}, {10,33}, {3,35}, {5,20}, {3,37}, {14,31}, {7,34}, {1,21}, {12,35}, {7,36}, {8,25}, {2,28}, {12,34}, {1,30}, {5,32}, {4,23}, {8,31}, {13,16}, {15,16}, {3,18}, {10,30}, {3,17}, {8,16}, {6,21}, {2,25}, {14,23}, {11,38}, {6,31}, {11,33}, {2,34}, {14,33}, {5,22}, {4,22}, {8,19}, {1,18}, {9,32}, {14,21}, {12,17}, {15,32}, {9,26}, {9,27}, {12,20}, {5,29}, {9,19}, {2,37}, {2,39}, {15,26}, {1,31}, {7,25}, {2,35}, {1,22}, {15,27}, {6,30}, {4,33}, {12,16}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {9,34}, {13,22}, {10,21}, {6,18}, {13,18}, {7,30}, {8,17}, {2,16}, {13,31}, {3,32}, {11,21}, {4,35}, {9,25}, {7,16}, {6,33}, {5,18}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {9,37}, {12,28}, {8,22}, {15,34}, {13,25}, {8,35}, {13,28}, {15,20}, {9,20}, {1,28}, {14,37}, {4,28}, {1,33}, {3,29}, {3,26}, {8,37}, {5,28}, {13,36}, {15,36}, {8,26}, {12,26}, {9,22}, {7,31}, {12,33}, {13,30}, {2,17}, {4,36}, {12,27}, {14,17}, {8,32}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {13,24}, {11,39}, {6,26}, {3,23}, {8,23}, {1,39}, {5,36}, {1,25}, {6,19}, {7,29}, {10,39}, {1,37}, {14,20}, {15,21}, {14,25}, {7,28}, {11,26}, {13,26}, {15,18}, {10,35}, {7,23}, {13,19}, {6,36}, {2,21}, {3,30}, {8,34}, {10,17}, {3,24}, {2,29}, {11,27}, {8,38}, {10,27}, {2,22}, {4,34}, {1,16}, {10,36}, {15,22}, {11,32}, {10,18}, {14,32}, {15,33}, {6,25}, {6,38}, {2,31}, {9,33}, {15,38}, {5,26}, {4,18}, {15,28}, {9,39}, {13,38}, {9,38}, {10,19}, {3,38}, {8,20}, {14,35}, {13,37}, {7,24}, {3,31}, {15,39}, {6,39}, {6,37}, {13,34}, {6,20}, {7,35}, {15,30}, {7,37}, {13,20}, {5,35}, {9,31}, {1,34}, {7,19}, {4,17}, {9,21}, {9,16}, {3,36}, {4,39}, {14,27}, {8,29}, {11,18}, {1,36}, {12,21}, {14,29}, {14,26}, {7,18}, {5,16} }; // ETB39.18 (= ET39.27) // Bipartite(12,27) Valencies [18,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[39][18]:={ {11,17}, {5,17}, {10,24}, {10,25}, {9,28}, {11,36}, {7,15}, {11,35}, {5,34}, {4,24}, {4,26}, {3,22}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {12,22}, {12,32}, {8,28}, {4,29}, {1,32}, {8,33}, {1,27}, {3,25}, {3,15}, {10,26}, {4,19}, {1,19}, {10,33}, {5,20}, {8,39}, {11,14}, {12,35}, {8,25}, {12,34}, {2,14}, {1,30}, {9,35}, {4,23}, {8,31}, {8,27}, {12,37}, {10,15}, {10,22}, {6,22}, {3,18}, {8,16}, {4,38}, {6,21}, {3,34}, {2,25}, {11,38}, {11,33}, {1,38}, {2,34}, {2,36}, {5,22}, {4,22}, {9,29}, {10,38}, {1,18}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {9,27}, {12,20}, {12,36}, {5,29}, {9,19}, {2,37}, {8,14}, {7,39}, {2,39}, {7,32}, {11,13}, {1,31}, {11,22}, {7,13}, {10,28}, {2,35}, {6,30}, {12,16}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {2,20}, {7,30}, {8,17}, {2,16}, {3,39}, {11,21}, {4,35}, {9,25}, {7,26}, {6,33}, {2,32}, {1,23}, {11,23}, {6,24}, {7,17}, {12,28}, {8,13}, {5,14}, {9,20}, {4,15}, {4,13}, {3,27}, {1,33}, {10,13}, {3,29}, {6,23}, {5,28}, {8,26}, {9,22}, {7,31}, {12,33}, {6,15}, {2,17}, {4,36}, {12,27}, {8,32}, {8,21}, {1,24}, {5,31}, {6,27}, {6,26}, {12,19}, {12,30}, {8,23}, {1,39}, {10,32}, {12,14}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {11,26}, {10,35}, {7,23}, {11,16}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {11,37}, {2,29}, {11,27}, {8,38}, {10,27}, {4,34}, {10,34}, {11,32}, {9,17}, {10,18}, {8,24}, {6,38}, {2,31}, {9,36}, {5,26}, {4,18}, {11,19}, {4,25}, {10,19}, {3,38}, {4,20}, {5,13}, {3,28}, {7,24}, {3,31}, {9,24}, {1,14}, {6,39}, {5,15}, {7,33}, {6,37}, {12,31}, {11,34}, {6,20}, {7,35}, {5,21}, {2,30}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {9,21}, {9,16}, {3,36}, {4,39}, {9,23}, {8,29}, {12,18}, {1,36}, {7,18}, {10,16}, {5,16} }; // ETB39.19 (= ET39.28) // Bipartite(12,27) Valencies [18,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3963456300062343168000 EdgesBipt[39][19]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,25}, {11,20}, {9,28}, {2,33}, {6,16}, {11,36}, {11,35}, {4,26}, {3,22}, {4,16}, {10,37}, {8,30}, {2,23}, {1,13}, {5,38}, {12,22}, {7,38}, {4,29}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {12,39}, {4,31}, {1,19}, {2,27}, {5,20}, {3,37}, {2,26}, {8,39}, {7,34}, {11,14}, {12,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {12,37}, {10,22}, {6,22}, {3,18}, {4,38}, {6,21}, {3,34}, {11,38}, {6,31}, {11,33}, {1,38}, {1,17}, {2,36}, {4,22}, {10,38}, {7,20}, {9,27}, {12,36}, {5,29}, {2,38}, {9,19}, {8,14}, {2,39}, {7,32}, {11,15}, {1,31}, {7,13}, {7,25}, {10,28}, {2,35}, {1,22}, {12,13}, {6,30}, {12,16}, {5,23}, {10,29}, {10,31}, {9,34}, {2,20}, {6,18}, {1,29}, {8,17}, {3,39}, {11,21}, {4,35}, {9,25}, {7,16}, {8,36}, {6,33}, {2,32}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {9,37}, {12,28}, {12,25}, {8,35}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {10,13}, {8,26}, {9,22}, {7,31}, {12,33}, {6,15}, {2,17}, {9,13}, {12,27}, {8,32}, {8,21}, {3,19}, {6,27}, {11,24}, {11,39}, {12,19}, {12,30}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {12,15}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {11,26}, {10,35}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {10,34}, {11,32}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {9,39}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {3,31}, {1,14}, {9,24}, {10,20}, {6,39}, {5,15}, {6,37}, {12,31}, {10,14}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {9,21}, {9,16}, {3,36}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {10,16} }; // ETB39.20 (= ET39.29) // Bipartite(12,27) Valencies [18,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46438023168 EdgesBipt[39][20]:={ {11,17}, {2,24}, {1,20}, {5,17}, {10,25}, {9,28}, {2,33}, {6,32}, {4,27}, {12,29}, {7,15}, {11,35}, {4,26}, {4,16}, {10,37}, {8,30}, {1,13}, {12,32}, {7,38}, {1,32}, {8,33}, {1,27}, {3,25}, {10,23}, {12,38}, {10,26}, {2,15}, {4,19}, {7,22}, {12,39}, {4,31}, {3,35}, {3,37}, {2,26}, {8,39}, {7,34}, {11,14}, {7,36}, {8,25}, {5,32}, {8,15}, {9,35}, {4,23}, {8,31}, {12,37}, {10,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {2,25}, {11,33}, {1,38}, {2,34}, {5,22}, {4,22}, {9,29}, {1,18}, {7,20}, {9,26}, {9,27}, {12,20}, {12,36}, {2,38}, {9,19}, {2,39}, {7,32}, {11,13}, {11,15}, {1,31}, {11,22}, {7,13}, {7,25}, {10,28}, {11,31}, {2,35}, {1,22}, {6,30}, {5,23}, {3,20}, {10,31}, {9,34}, {2,13}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {3,39}, {11,21}, {4,35}, {9,25}, {7,16}, {6,33}, {1,23}, {11,23}, {6,24}, {5,30}, {11,30}, {5,24}, {9,37}, {12,28}, {8,13}, {8,22}, {8,35}, {5,14}, {9,20}, {4,13}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {7,31}, {12,33}, {6,15}, {2,17}, {4,36}, {12,27}, {8,21}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {11,39}, {12,19}, {12,30}, {10,32}, {12,14}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {6,14}, {9,30}, {5,39}, {3,16}, {4,37}, {11,26}, {10,35}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {11,37}, {2,29}, {8,38}, {10,27}, {2,22}, {4,34}, {1,16}, {10,36}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {8,24}, {6,38}, {2,31}, {9,36}, {5,26}, {4,18}, {9,39}, {9,38}, {11,19}, {4,25}, {10,19}, {3,38}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,24}, {1,14}, {6,39}, {5,15}, {7,33}, {6,37}, {10,14}, {5,19}, {6,20}, {5,21}, {2,30}, {5,35}, {1,34}, {5,37}, {4,17}, {9,21}, {9,16}, {3,36}, {8,29}, {4,32}, {12,18}, {1,36}, {12,21}, {7,18}, {10,16} }; // ETB39.21 (= ET39.30) // Bipartite(12,27) Valencies [18,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4353564672 EdgesBipt[39][21]:={ {5,17}, {1,20}, {10,25}, {11,20}, {9,28}, {6,16}, {11,36}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {8,30}, {2,23}, {1,13}, {5,38}, {12,22}, {12,32}, {7,38}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {10,26}, {4,19}, {12,39}, {4,31}, {2,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {8,39}, {7,34}, {11,14}, {12,35}, {2,28}, {12,34}, {2,14}, {8,15}, {9,35}, {4,23}, {8,27}, {10,22}, {6,22}, {11,28}, {10,30}, {3,17}, {6,21}, {3,34}, {2,25}, {11,38}, {6,31}, {1,38}, {2,34}, {2,36}, {5,22}, {4,22}, {9,29}, {10,38}, {1,18}, {3,14}, {7,20}, {12,17}, {9,26}, {9,27}, {5,29}, {9,19}, {2,37}, {8,14}, {7,39}, {2,39}, {7,32}, {11,13}, {1,31}, {11,22}, {7,25}, {11,31}, {2,35}, {1,22}, {12,13}, {6,30}, {4,33}, {12,16}, {10,29}, {3,20}, {10,31}, {9,34}, {10,21}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {4,35}, {9,25}, {7,16}, {8,36}, {6,33}, {2,32}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {11,30}, {5,24}, {9,37}, {12,25}, {8,35}, {9,20}, {4,15}, {4,13}, {7,14}, {4,28}, {1,33}, {10,13}, {3,29}, {3,26}, {5,28}, {8,26}, {12,26}, {12,33}, {6,15}, {2,17}, {4,36}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,39}, {12,30}, {3,23}, {8,23}, {12,14}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {12,15}, {10,39}, {5,39}, {7,28}, {3,16}, {4,37}, {10,35}, {7,23}, {6,36}, {2,21}, {5,33}, {9,18}, {10,17}, {11,37}, {11,27}, {8,38}, {10,27}, {1,16}, {10,36}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {5,26}, {8,18}, {4,18}, {9,38}, {11,19}, {3,38}, {5,13}, {8,20}, {3,28}, {12,24}, {7,24}, {3,31}, {9,24}, {1,14}, {10,20}, {6,39}, {5,15}, {7,33}, {6,37}, {12,31}, {5,19}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {9,16}, {7,21}, {8,29}, {4,32}, {11,18}, {1,36}, {12,21}, {10,16} }; // ETB39.22 (= ET39.31) // Bipartite(13,26) Valencies [18,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46006272 EdgesBipt[39][22]:={ {11,17}, {3,33}, {2,24}, {5,17}, {10,25}, {11,20}, {2,33}, {6,32}, {11,36}, {4,27}, {13,21}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {4,16}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {12,32}, {4,29}, {1,32}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {12,38}, {10,26}, {2,15}, {12,39}, {4,31}, {1,19}, {10,33}, {3,35}, {13,35}, {2,26}, {7,34}, {1,21}, {12,35}, {2,28}, {12,34}, {5,32}, {9,35}, {4,23}, {8,31}, {8,27}, {10,15}, {6,22}, {3,18}, {11,28}, {3,17}, {8,16}, {4,38}, {3,34}, {2,25}, {11,38}, {6,31}, {11,33}, {1,38}, {2,36}, {5,22}, {8,19}, {9,29}, {10,38}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {12,20}, {12,36}, {5,29}, {2,38}, {9,19}, {2,37}, {8,14}, {7,39}, {2,39}, {7,32}, {11,15}, {10,28}, {11,31}, {2,35}, {1,22}, {6,30}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {9,34}, {13,22}, {2,20}, {6,18}, {13,18}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {11,21}, {9,25}, {7,16}, {8,36}, {7,26}, {13,33}, {5,18}, {1,23}, {11,23}, {6,24}, {5,30}, {7,17}, {11,30}, {9,37}, {13,23}, {12,25}, {8,22}, {8,35}, {13,28}, {9,20}, {1,28}, {7,14}, {3,27}, {3,29}, {8,37}, {5,28}, {13,36}, {12,26}, {9,22}, {12,33}, {6,15}, {2,17}, {4,36}, {12,27}, {8,32}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {12,19}, {12,30}, {8,23}, {10,32}, {12,14}, {5,36}, {3,21}, {1,25}, {6,19}, {13,15}, {7,29}, {1,15}, {6,28}, {6,14}, {10,39}, {13,27}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {13,26}, {3,30}, {9,18}, {11,37}, {2,29}, {10,27}, {2,22}, {4,34}, {1,16}, {10,36}, {4,14}, {11,32}, {10,18}, {8,24}, {6,25}, {6,38}, {9,33}, {13,14}, {5,26}, {8,18}, {4,18}, {9,39}, {9,38}, {11,19}, {4,25}, {10,19}, {3,38}, {3,28}, {8,20}, {7,27}, {13,37}, {7,24}, {3,31}, {9,24}, {1,14}, {10,20}, {6,39}, {5,15}, {7,33}, {6,37}, {10,14}, {11,34}, {13,34}, {5,19}, {13,39}, {5,21}, {2,30}, {7,37}, {13,20}, {5,35}, {9,31}, {1,34}, {7,19}, {4,17}, {6,35}, {9,21}, {9,16}, {4,39}, {7,21}, {8,29}, {11,18}, {1,36}, {12,21}, {10,16}, {5,16} }; // ETB39.23 (= ET39.33) // Bipartite(9,30) Valencies [20,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 61929004688474112000000 EdgesBipt[39][23]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {8,30}, {2,23}, {1,13}, {5,38}, {7,38}, {4,29}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {3,37}, {2,26}, {7,34}, {8,39}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {6,22}, {3,18}, {4,38}, {6,21}, {3,34}, {6,31}, {1,38}, {4,10}, {1,17}, {2,36}, {4,22}, {7,11}, {7,20}, {9,27}, {5,11}, {5,29}, {2,38}, {9,19}, {8,14}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {5,23}, {9,34}, {2,20}, {6,18}, {1,29}, {8,17}, {3,39}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {9,37}, {8,35}, {9,10}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {3,10}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {9,13}, {5,12}, {8,32}, {8,21}, {3,19}, {6,27}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {6,28}, {2,11}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {2,29}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,26}, {8,18}, {9,39}, {4,25}, {4,11}, {4,20}, {3,28}, {8,20}, {7,10}, {3,31}, {2,12}, {1,14}, {9,24}, {6,39}, {5,15}, {6,37}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {8,29}, {4,32} }; // ETB39.24 (= ET39.34) // Bipartite(9,30) Valencies [20,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 214990848000000 EdgesBipt[39][24]:={ {1,11}, {3,33}, {5,17}, {1,20}, {2,33}, {6,16}, {7,15}, {4,24}, {8,12}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {1,13}, {5,38}, {7,38}, {8,28}, {4,29}, {1,32}, {8,33}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {8,39}, {7,36}, {8,10}, {2,28}, {2,14}, {5,32}, {8,15}, {9,35}, {4,23}, {8,27}, {9,11}, {6,22}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {4,22}, {9,29}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {7,13}, {9,14}, {7,25}, {1,22}, {6,12}, {6,30}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {7,26}, {6,33}, {2,32}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {8,11}, {5,24}, {8,22}, {8,35}, {5,14}, {9,20}, {1,28}, {4,13}, {3,11}, {7,14}, {3,27}, {4,28}, {3,29}, {3,10}, {3,26}, {7,31}, {6,15}, {4,36}, {5,12}, {8,21}, {5,31}, {6,27}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {6,28}, {9,30}, {1,35}, {1,37}, {3,16}, {4,37}, {6,36}, {2,21}, {8,34}, {9,18}, {1,26}, {2,22}, {4,34}, {1,16}, {9,17}, {8,24}, {6,25}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,26}, {8,18}, {4,18}, {9,39}, {9,38}, {4,25}, {3,38}, {4,11}, {4,12}, {5,13}, {3,28}, {7,27}, {7,24}, {1,14}, {9,24}, {6,39}, {7,33}, {6,37}, {5,19}, {9,15}, {6,13}, {7,37}, {5,35}, {1,34}, {5,37}, {7,19}, {4,17}, {9,21}, {9,23}, {7,21}, {8,29}, {7,18} }; // ETB39.25 (= ET39.35) // Bipartite(19,20) Valencies [20,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 295950609069496384270872084480000000 EdgesBipt[39][25]:={ {13,21}, {15,33}, {6,38}, {19,28}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {19,20}, {19,21}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {9,38}, {14,21}, {9,26}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {15,23}, {9,22}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {18,31}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {19,35}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {14,22}, {8,39}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB39.26 (= ET39.36) // Bipartite(18,21) Valencies [21,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 327103304761022319457279672320000000 EdgesBipt[39][26]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {18,31}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB39.27 (= ET39.37) // Bipartite(6,33) Valencies [22,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3052870564457742336000000 EdgesBipt[39][27]:={ {4,35}, {5,32}, {6,39}, {6,12}, {5,14}, {3,15}, {2,38}, {6,10}, {6,18}, {4,14}, {1,11}, {5,30}, {6,36}, {4,8}, {3,7}, {1,31}, {2,11}, {5,35}, {2,20}, {1,25}, {4,16}, {6,13}, {5,24}, {1,38}, {2,33}, {6,25}, {6,7}, {3,30}, {1,32}, {3,10}, {3,34}, {3,31}, {6,34}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {5,23}, {5,33}, {4,37}, {4,20}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {1,22}, {2,32}, {6,33}, {1,16}, {6,21}, {2,36}, {2,17}, {4,28}, {3,9}, {4,29}, {3,22}, {5,15}, {6,37}, {5,29}, {4,31}, {3,27}, {6,15}, {1,19}, {4,17}, {2,35}, {4,25}, {2,9}, {1,35}, {1,26}, {4,38}, {2,24}, {6,31}, {4,11}, {2,27}, {6,19}, {5,38}, {1,23}, {2,21}, {5,27}, {1,7}, {6,30}, {5,8}, {2,39}, {2,12}, {4,22}, {5,20}, {3,28}, {5,36}, {3,24}, {5,17}, {3,12}, {6,16}, {3,21}, {1,14}, {4,32}, {3,39}, {2,8}, {1,37}, {1,20}, {5,11}, {3,16}, {1,13}, {3,25}, {2,26}, {5,12}, {1,28}, {3,36}, {3,37}, {6,24}, {5,18}, {4,34}, {6,27}, {3,33}, {4,23}, {1,8}, {5,39}, {4,13}, {2,30}, {4,19}, {4,10}, {6,28} }; // ETB39.28 (= ET39.38) // Bipartite(17,22) Valencies [22,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 399792928041249501558897377280000000 EdgesBipt[39][28]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {16,33}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB39.29 (= ET39.39) // Bipartite(16,23) Valencies [23,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 540896314408749325638508216320000000 EdgesBipt[39][29]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {6,23}, {16,31}, {15,17}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB39.30 (= ET39.40) // Bipartite(3,36) Valencies [24,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 659420041922872344576000000 EdgesBipt[39][30]:={ {2,11}, {3,22}, {1,26}, {2,14}, {1,14}, {2,26}, {3,12}, {2,32}, {2,30}, {1,29}, {2,29}, {1,32}, {2,24}, {1,37}, {1,10}, {2,39}, {3,21}, {3,27}, {3,33}, {2,6}, {1,4}, {1,20}, {2,36}, {3,37}, {1,31}, {3,9}, {3,24}, {2,12}, {2,33}, {2,21}, {1,38}, {1,7}, {3,4}, {1,16}, {2,20}, {3,7}, {3,16}, {3,28}, {3,15}, {2,38}, {2,18}, {3,25}, {3,19}, {3,30}, {2,15}, {2,5}, {3,18}, {3,31}, {1,5}, {2,27}, {1,17}, {3,6}, {3,39}, {3,34}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {1,22}, {2,8}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {3,10}, {3,36} }; // ETB39.31 (= ET39.41) // Bipartite(13,26) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 51011754393600 EdgesBipt[39][31]:={ {13,21}, {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {8,26}, {13,39}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {4,37}, {13,27}, {6,14}, {2,33}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {1,17}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {13,19}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {11,16}, {10,36}, {3,24}, {6,16}, {11,33}, {13,25}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {13,38}, {4,15}, {6,23}, {7,39}, {13,14}, {4,36}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {13,34}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {12,21}, {6,33}, {11,26}, {5,33}, {11,38}, {9,37} }; // ETB39.32 (= ET39.42) // Bipartite(15,24) Valencies [24,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 811344471613123988457762324480000000 EdgesBipt[39][32]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {13,39}, {2,35}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,22}, {14,37}, {13,38}, {6,23}, {15,17}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {12,21}, {6,33}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB39.33 (= ET39.44) // Bipartite(14,25) Valencies [25,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1352240786021873314096270540800000000 EdgesBipt[39][33]:={ {13,21}, {6,38}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {14,38}, {13,39}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {14,37}, {13,38}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {3,15}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB39.34 (= ET39.45) // Bipartite(13,26) Valencies [26,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2511304316897764726178788147200000000 EdgesBipt[39][34]:={ {13,21}, {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {13,39}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {4,37}, {13,27}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {10,38}, {6,16}, {11,33}, {13,25}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {13,38}, {4,15}, {6,23}, {7,39}, {13,14}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB39.35 (= ET39.47) // Bipartite(12,27) Valencies [27,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5215785888941511354371329228800000000 EdgesBipt[39][35]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {12,38}, {1,13}, {12,26}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB39.36 (= ET39.48) // Bipartite(11,28) Valencies [28,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12170167074196859826866434867200000000 EdgesBipt[39][36]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {8,26}, {2,35}, {4,31}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {1,13}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB39.37 (= ET39.49) // Bipartite(10,29) Valencies [29,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32084985922882630452647873740800000000 EdgesBipt[39][37]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {8,26}, {5,11}, {2,35}, {4,31}, {6,15}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37} }; // ETB39.38 (= ET39.50) // Bipartite(9,30) Valencies [30,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 96254957768647891357943621222400000000 EdgesBipt[39][38]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {9,10}, {3,26}, {8,26}, {5,11}, {2,35}, {4,31}, {6,15}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {8,37}, {4,13}, {7,11}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {9,38}, {4,10}, {9,26}, {5,14}, {3,29}, {2,23}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {5,10}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37} }; // ETB39.39 (= ET39.51) // Bipartite(8,31) Valencies [31,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 331544854536453848010694695321600000000 EdgesBipt[39][39]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {8,9}, {3,9}, {7,38}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {8,39}, {1,21}, {2,9}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {4,38}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {8,14}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {8,38}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,38}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB39.40 (= ET39.52) // Bipartite(7,32) Valencies [32,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1326179418145815392042778781286400000000 EdgesBipt[39][40]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {4,38}, {6,21}, {3,34}, {2,25}, {7,12}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,38}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB39.41 (= ET39.53) // Bipartite(6,33) Valencies [33,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6251988685544558276773099968921600000000 EdgesBipt[39][41]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {4,38}, {6,21}, {3,34}, {2,25}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {6,35}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB39.42 (= ET39.54) // Bipartite(5,34) Valencies [34,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 35427935884752496901714233157222400000000 EdgesBipt[39][42]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {3,18}, {3,17}, {3,7}, {4,38}, {3,34}, {2,25}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {3,26}, {5,28}, {2,17}, {4,36}, {4,6}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,31}, {5,10}, {5,27}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {5,6}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {5,21}, {2,30}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB39.43 (= ET39.55) // Bipartite(4,35) Valencies [35,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 247995551193267478311999632100556800000000 EdgesBipt[39][43]:={ {1,15}, {4,35}, {3,15}, {2,38}, {1,11}, {4,14}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {2,20}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {2,34}, {3,27}, {4,30}, {1,19}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {4,38}, {2,24}, {4,11}, {2,27}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {4,9}, {2,7}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB39.44 (= ET39.56) // Bipartite(3,36) Valencies [36,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2231959960739407304807996688905011200000000 EdgesBipt[39][44]:={ {1,15}, {3,15}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {2,11}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {2,34}, {3,27}, {1,19}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB39.45 (= ET39.58) // Bipartite(2,37) Valencies [37,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 27527506182452690092631959163161804800000000 EdgesBipt[39][45]:={ {2,11}, {1,26}, {2,14}, {1,14}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,10}, {2,39}, {1,39}, {1,36}, {1,6}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {1,38}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,38}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB39.46 (= ET39.59) // Bipartite(1,38) Valencies [38,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 523022617466601111760007224100074291200000000 EdgesBipt[39][46]:={ {1,4}, {1,20}, {1,3}, {1,34}, {1,37}, {1,30}, {1,14}, {1,23}, {1,39}, {1,33}, {1,24}, {1,38}, {1,7}, {1,27}, {1,29}, {1,35}, {1,5}, {1,15}, {1,22}, {1,28}, {1,16}, {1,10}, {1,12}, {1,13}, {1,17}, {1,2}, {1,11}, {1,36}, {1,19}, {1,18}, {1,25}, {1,32}, {1,21}, {1,9}, {1,26}, {1,31}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 39 is 46 // ******************************************************************************************** // Order 40 // ETB40.1 (= ET40.1) // Bipartite(20,20) Valencies [2,2] // Diameter 20 Girth 40 // Twin-free VT AT // Automorphism group of order 80 EdgesBipt[40][1]:={ {12,32}, {8,33}, {19,21}, {4,24}, {20,23}, {18,23}, {4,39}, {5,24}, {14,27}, {20,40}, {17,38}, {1,39}, {10,31}, {3,37}, {12,31}, {2,40}, {10,28}, {11,29}, {2,22}, {15,36}, {13,29}, {16,34}, {5,35}, {7,35}, {3,22}, {17,25}, {6,37}, {19,38}, {8,26}, {9,30}, {14,32}, {6,26}, {18,36}, {1,21}, {9,33}, {16,25}, {7,28}, {11,30}, {15,27}, {13,34} }; // ETB40.2 (= ET40.2) // Bipartite(16,24) Valencies [3,2] // Diameter 8 Girth 12 // Twin-free Non-VT Non-AT // Automorphism group of order 96 EdgesBipt[40][2]:={ {4,38}, {14,18}, {11,36}, {4,30}, {9,19}, {14,38}, {5,29}, {1,24}, {7,27}, {2,19}, {8,24}, {1,35}, {3,33}, {13,32}, {14,28}, {5,20}, {2,40}, {6,18}, {3,21}, {3,31}, {10,25}, {2,28}, {12,30}, {16,39}, {7,31}, {15,23}, {10,35}, {1,17}, {11,33}, {10,22}, {9,29}, {12,20}, {9,34}, {8,37}, {6,36}, {15,37}, {8,26}, {11,23}, {15,34}, {5,32}, {6,25}, {4,26}, {7,40}, {16,22}, {13,21}, {16,27}, {12,39}, {13,17} }; // ETB40.3 (= ET40.3) // Bipartite(20,20) Valencies [3,3] // Diameter 6 Girth 8 // Twin-free VT AT // Automorphism group of order 480 EdgesBipt[40][3]:={ {15,35}, {1,26}, {15,32}, {6,34}, {2,37}, {15,36}, {20,38}, {13,34}, {11,24}, {2,39}, {5,40}, {16,31}, {8,25}, {11,27}, {18,33}, {12,32}, {13,26}, {12,30}, {3,38}, {6,30}, {3,23}, {8,29}, {16,27}, {9,29}, {4,33}, {5,25}, {19,28}, {10,23}, {19,21}, {5,28}, {3,25}, {1,21}, {2,38}, {4,21}, {9,33}, {11,40}, {14,32}, {7,22}, {12,29}, {10,24}, {20,34}, {4,22}, {17,31}, {6,22}, {8,26}, {17,30}, {14,37}, {16,39}, {19,31}, {13,27}, {1,35}, {14,28}, {9,39}, {7,37}, {20,36}, {10,35}, {7,24}, {18,36}, {17,23}, {18,40} }; // ETB40.4 (= ET40.4) // Bipartite(20,20) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 160 EdgesBipt[40][4]:={ {1,26}, {15,35}, {5,33}, {6,37}, {18,22}, {17,34}, {13,31}, {19,26}, {9,25}, {2,29}, {16,34}, {14,26}, {7,23}, {20,23}, {11,24}, {11,28}, {8,21}, {4,40}, {3,27}, {13,25}, {16,31}, {8,25}, {18,39}, {12,30}, {11,37}, {2,36}, {12,40}, {6,40}, {6,36}, {3,29}, {17,35}, {5,23}, {9,29}, {4,33}, {20,27}, {9,24}, {2,31}, {3,28}, {12,39}, {9,40}, {8,36}, {5,28}, {1,21}, {13,39}, {11,32}, {4,21}, {6,27}, {14,32}, {20,31}, {5,30}, {15,25}, {7,38}, {16,38}, {4,22}, {19,33}, {3,34}, {14,38}, {18,27}, {12,35}, {17,32}, {17,33}, {10,28}, {18,24}, {10,38}, {10,21}, {15,26}, {20,32}, {1,34}, {13,37}, {1,23}, {8,30}, {16,24}, {7,37}, {2,22}, {10,35}, {19,39}, {14,30}, {15,22}, {19,36}, {7,29} }; // ETB40.5 (= ET40.5) // Bipartite(20,20) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 80 EdgesBipt[40][5]:={ {1,26}, {17,37}, {3,40}, {6,37}, {18,22}, {19,24}, {10,27}, {2,32}, {13,31}, {16,34}, {2,24}, {8,23}, {11,24}, {6,26}, {3,21}, {1,36}, {9,38}, {10,30}, {3,38}, {11,23}, {17,35}, {4,30}, {4,32}, {20,30}, {7,27}, {8,37}, {8,40}, {5,31}, {15,31}, {8,33}, {12,36}, {19,27}, {1,21}, {11,32}, {9,36}, {9,33}, {19,38}, {12,34}, {14,32}, {3,31}, {14,40}, {15,25}, {7,22}, {7,35}, {10,24}, {4,28}, {5,39}, {13,21}, {20,25}, {14,38}, {18,27}, {18,23}, {12,35}, {16,28}, {6,25}, {5,34}, {13,29}, {2,35}, {17,33}, {2,34}, {16,39}, {11,26}, {15,26}, {6,28}, {16,37}, {10,25}, {1,23}, {9,39}, {13,30}, {14,28}, {20,33}, {17,29}, {5,22}, {20,36}, {19,39}, {12,21}, {15,22}, {4,29}, {7,29}, {18,40} }; // ETB40.6 (= ET40.6) // Bipartite(20,20) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 160 EdgesBipt[40][6]:={ {3,22}, {12,38}, {15,35}, {5,36}, {19,23}, {19,37}, {13,28}, {18,22}, {10,27}, {2,37}, {2,26}, {6,33}, {2,30}, {1,29}, {11,25}, {7,34}, {13,34}, {9,21}, {20,35}, {11,24}, {8,21}, {3,21}, {16,31}, {8,25}, {15,24}, {9,38}, {11,27}, {12,32}, {4,31}, {11,23}, {8,29}, {7,30}, {20,29}, {13,32}, {4,33}, {8,40}, {16,40}, {2,31}, {12,39}, {9,40}, {10,26}, {4,27}, {1,21}, {12,34}, {17,38}, {6,27}, {14,40}, {5,30}, {13,35}, {15,28}, {10,24}, {5,39}, {16,38}, {3,39}, {17,31}, {14,23}, {7,28}, {18,23}, {19,30}, {6,25}, {17,32}, {5,34}, {14,37}, {17,33}, {10,28}, {18,24}, {4,26}, {1,22}, {16,37}, {20,32}, {1,35}, {9,39}, {20,33}, {14,25}, {6,29}, {18,36}, {3,36}, {15,22}, {19,36}, {7,26} }; // ETB40.7 (= ET40.7) // Bipartite(20,20) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 80 EdgesBipt[40][7]:={ {1,26}, {15,35}, {18,32}, {12,27}, {4,23}, {13,28}, {19,24}, {6,34}, {2,32}, {5,29}, {16,34}, {13,34}, {9,31}, {7,31}, {8,23}, {2,39}, {3,33}, {12,32}, {19,35}, {8,24}, {2,36}, {3,37}, {11,38}, {7,33}, {6,40}, {20,29}, {8,32}, {1,38}, {16,40}, {20,37}, {19,28}, {7,40}, {5,38}, {19,21}, {14,22}, {13,36}, {4,27}, {1,21}, {15,30}, {20,31}, {5,30}, {15,25}, {18,31}, {10,29}, {9,35}, {11,36}, {10,24}, {1,27}, {4,28}, {13,23}, {16,38}, {10,37}, {12,25}, {4,22}, {14,33}, {3,34}, {14,27}, {18,23}, {6,25}, {6,35}, {17,30}, {11,39}, {14,37}, {17,33}, {11,26}, {10,21}, {2,25}, {9,28}, {9,39}, {8,30}, {17,26}, {20,39}, {5,22}, {16,29}, {17,24}, {3,36}, {12,21}, {15,22}, {7,26}, {18,40} }; // ETB40.8 (= ET40.8) // Bipartite(20,20) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 160 EdgesBipt[40][8]:={ {18,32}, {5,36}, {4,23}, {6,34}, {2,26}, {4,36}, {2,30}, {19,26}, {8,38}, {11,28}, {16,23}, {1,39}, {6,31}, {11,29}, {18,39}, {10,30}, {15,29}, {11,38}, {12,40}, {15,37}, {2,33}, {8,27}, {16,27}, {9,29}, {13,40}, {5,38}, {19,21}, {1,21}, {11,32}, {9,27}, {3,30}, {14,32}, {3,31}, {12,24}, {16,21}, {7,25}, {7,22}, {9,35}, {8,34}, {10,24}, {20,34}, {13,38}, {4,28}, {13,21}, {10,37}, {4,22}, {12,25}, {14,33}, {9,22}, {3,39}, {17,31}, {14,27}, {19,32}, {17,40}, {12,35}, {6,25}, {15,33}, {15,39}, {5,26}, {2,23}, {5,35}, {10,28}, {19,31}, {18,24}, {1,22}, {6,28}, {1,34}, {13,37}, {20,40}, {8,30}, {16,24}, {20,33}, {7,37}, {17,29}, {14,25}, {20,36}, {18,36}, {17,23}, {7,26}, {3,35} }; // ETB40.9 (= ET40.9) // Bipartite(20,20) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 160 EdgesBipt[40][9]:={ {15,35}, {19,23}, {3,40}, {18,22}, {10,40}, {2,26}, {5,37}, {1,30}, {9,25}, {20,38}, {4,34}, {13,34}, {7,31}, {6,26}, {8,21}, {3,27}, {10,32}, {11,27}, {12,30}, {19,35}, {18,34}, {17,25}, {3,24}, {12,31}, {7,33}, {9,37}, {2,33}, {6,32}, {16,33}, {11,33}, {11,21}, {8,27}, {1,38}, {13,40}, {15,31}, {20,37}, {2,31}, {19,28}, {10,23}, {5,38}, {12,36}, {8,36}, {5,28}, {1,21}, {13,39}, {15,30}, {11,22}, {17,36}, {14,32}, {16,21}, {7,22}, {12,29}, {9,34}, {15,28}, {10,24}, {5,39}, {13,23}, {16,38}, {4,22}, {4,25}, {1,28}, {20,26}, {18,27}, {6,35}, {14,37}, {2,35}, {14,24}, {20,32}, {9,39}, {8,30}, {17,29}, {14,25}, {6,23}, {17,24}, {19,39}, {3,36}, {16,26}, {4,29}, {7,29}, {18,40} }; // ETB40.10 (= ET40.10) // Bipartite(20,20) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 160 EdgesBipt[40][10]:={ {1,26}, {18,35}, {5,33}, {17,37}, {9,23}, {6,34}, {14,31}, {10,40}, {4,36}, {2,30}, {19,26}, {2,29}, {9,31}, {20,23}, {6,26}, {1,39}, {6,31}, {5,40}, {10,32}, {3,27}, {11,29}, {11,27}, {12,30}, {15,29}, {17,22}, {3,37}, {3,24}, {8,29}, {10,33}, {9,37}, {11,21}, {4,32}, {13,32}, {15,21}, {7,27}, {16,30}, {13,40}, {9,24}, {12,39}, {5,38}, {12,36}, {8,36}, {18,25}, {5,28}, {1,21}, {2,38}, {20,28}, {11,22}, {19,38}, {17,27}, {7,21}, {7,35}, {15,28}, {8,22}, {20,34}, {13,23}, {16,38}, {4,22}, {14,33}, {4,25}, {19,33}, {2,28}, {15,34}, {12,35}, {7,39}, {17,32}, {14,24}, {16,39}, {19,31}, {18,24}, {1,34}, {10,25}, {13,37}, {20,40}, {8,30}, {14,25}, {6,23}, {18,36}, {16,26}, {3,35} }; // ETB40.11 (= ET40.11) // Bipartite(20,20) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 20480 EdgesBipt[40][11]:={ {15,32}, {17,37}, {17,34}, {4,37}, {6,39}, {19,26}, {9,25}, {20,22}, {7,34}, {2,24}, {14,26}, {1,40}, {5,27}, {11,24}, {16,31}, {9,38}, {11,27}, {10,30}, {3,38}, {15,27}, {14,34}, {15,23}, {12,40}, {8,29}, {2,33}, {6,32}, {11,33}, {9,32}, {5,23}, {20,30}, {8,40}, {5,25}, {5,31}, {10,31}, {8,33}, {14,36}, {14,22}, {8,36}, {11,35}, {1,21}, {19,38}, {3,30}, {12,23}, {16,25}, {16,35}, {7,21}, {1,27}, {13,38}, {10,39}, {18,21}, {20,25}, {4,22}, {2,28}, {3,34}, {17,40}, {16,28}, {6,35}, {15,39}, {2,23}, {18,29}, {13,29}, {17,33}, {19,31}, {10,22}, {18,24}, {9,26}, {12,28}, {4,26}, {6,28}, {20,32}, {1,35}, {13,37}, {13,30}, {7,37}, {7,24}, {18,36}, {19,39}, {3,36}, {12,21}, {4,29} }; // ETB40.12 (= ET40.12) // Bipartite(20,20) Valencies [4,4] // Diameter 10 Girth 4 // Has twins VT AT // Automorphism group of order 41943040 EdgesBipt[40][12]:={ {16,25}, {14,34}, {2,22}, {1,31}, {4,27}, {8,36}, {19,39}, {1,40}, {13,24}, {12,31}, {7,33}, {12,22}, {3,32}, {13,34}, {10,40}, {17,35}, {6,25}, {9,39}, {18,23}, {7,23}, {3,34}, {20,40}, {15,28}, {10,30}, {14,27}, {5,37}, {12,21}, {17,23}, {4,37}, {2,31}, {8,33}, {19,26}, {18,33}, {2,32}, {10,39}, {16,35}, {7,25}, {3,22}, {8,26}, {19,29}, {17,33}, {5,28}, {10,29}, {13,22}, {7,35}, {5,38}, {2,21}, {5,27}, {6,38}, {13,32}, {14,37}, {11,40}, {11,31}, {3,24}, {19,36}, {15,37}, {8,23}, {20,30}, {11,21}, {9,26}, {11,30}, {15,27}, {16,28}, {20,29}, {9,29}, {15,38}, {12,32}, {18,36}, {20,39}, {16,38}, {6,35}, {9,36}, {4,34}, {1,30}, {1,21}, {14,24}, {4,24}, {18,26}, {17,25}, {6,28} }; // ETB40.13 (= ET40.13) // Bipartite(20,20) Valencies [4,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 245760 EdgesBipt[40][13]:={ {15,35}, {15,32}, {5,36}, {19,37}, {5,32}, {17,34}, {15,36}, {2,32}, {5,29}, {18,26}, {7,34}, {7,23}, {9,31}, {12,33}, {1,33}, {11,28}, {2,39}, {16,23}, {8,21}, {6,31}, {4,40}, {13,25}, {16,31}, {11,27}, {12,32}, {15,29}, {3,38}, {19,22}, {3,24}, {9,37}, {2,33}, {20,24}, {11,33}, {11,21}, {20,37}, {7,40}, {12,39}, {10,34}, {8,36}, {4,27}, {13,39}, {3,25}, {1,21}, {20,28}, {6,38}, {18,30}, {14,40}, {16,35}, {10,24}, {20,34}, {13,38}, {1,27}, {16,38}, {10,37}, {18,21}, {9,22}, {3,39}, {4,25}, {12,22}, {8,26}, {1,28}, {14,27}, {17,40}, {13,24}, {19,30}, {6,35}, {5,35}, {10,28}, {9,30}, {19,31}, {14,29}, {8,30}, {17,26}, {14,25}, {6,23}, {2,22}, {18,36}, {17,23}, {7,26}, {4,29} }; // ETB40.14 (= ET40.14) // Bipartite(20,20) Valencies [4,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 327680 EdgesBipt[40][14]:={ {11,30}, {12,38}, {18,35}, {19,37}, {19,24}, {6,34}, {6,39}, {5,24}, {4,36}, {6,33}, {2,30}, {13,31}, {19,26}, {1,30}, {16,34}, {20,22}, {7,23}, {9,31}, {4,40}, {10,32}, {13,25}, {15,24}, {11,27}, {12,30}, {3,23}, {7,33}, {8,29}, {9,37}, {16,33}, {11,21}, {4,32}, {5,21}, {15,21}, {7,27}, {8,37}, {8,40}, {9,24}, {10,26}, {14,36}, {13,36}, {5,28}, {3,25}, {1,21}, {2,38}, {11,22}, {6,38}, {17,27}, {14,32}, {3,31}, {14,40}, {15,28}, {8,35}, {1,27}, {13,23}, {4,28}, {16,38}, {10,39}, {12,25}, {18,37}, {15,34}, {20,26}, {12,35}, {18,29}, {5,34}, {2,35}, {17,33}, {16,39}, {19,31}, {10,22}, {9,26}, {1,22}, {2,25}, {20,32}, {14,28}, {17,29}, {20,39}, {3,36}, {17,23}, {7,29}, {18,40} }; // ETB40.15 (= ET40.16) // Bipartite(15,25) Valencies [5,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 600 EdgesBipt[40][15]:={ {3,22}, {12,27}, {4,24}, {11,16}, {5,32}, {13,28}, {9,23}, {2,37}, {4,37}, {11,25}, {14,26}, {12,33}, {5,27}, {8,23}, {2,40}, {11,29}, {12,30}, {15,38}, {10,36}, {8,24}, {1,31}, {9,32}, {11,21}, {7,30}, {6,16}, {4,32}, {5,20}, {15,21}, {9,29}, {15,31}, {2,31}, {1,16}, {7,40}, {3,28}, {9,40}, {8,33}, {5,38}, {10,34}, {14,36}, {6,20}, {13,33}, {14,22}, {2,18}, {9,36}, {3,19}, {12,37}, {7,21}, {7,35}, {8,35}, {1,27}, {13,38}, {7,20}, {10,39}, {6,18}, {12,25}, {2,28}, {3,34}, {6,17}, {15,39}, {5,34}, {13,29}, {4,26}, {15,26}, {1,22}, {10,25}, {1,23}, {4,19}, {11,19}, {14,17}, {13,17}, {10,18}, {6,24}, {8,39}, {14,30}, {3,35} }; // ETB40.16 (= ET40.17) // Bipartite(10,30) Valencies [6,2] // Diameter 5 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[40][16]:={ {3,22}, {5,33}, {8,19}, {9,23}, {3,12}, {2,32}, {1,29}, {7,34}, {2,24}, {9,21}, {7,12}, {5,27}, {2,39}, {4,40}, {10,32}, {8,25}, {5,11}, {10,36}, {4,31}, {3,24}, {8,29}, {9,37}, {6,15}, {3,20}, {4,30}, {2,21}, {10,13}, {8,37}, {2,16}, {2,31}, {1,16}, {7,40}, {8,33}, {10,34}, {4,20}, {6,38}, {6,27}, {5,30}, {1,18}, {7,38}, {4,15}, {9,13}, {5,39}, {4,28}, {1,17}, {6,19}, {9,22}, {1,28}, {8,26}, {5,14}, {9,14}, {6,35}, {7,17}, {10,25}, {1,11}, {6,23}, {10,18}, {3,36}, {7,26}, {3,35} }; // ETB40.17 (= ET40.18) // Bipartite(10,30) Valencies [6,2] // Diameter 10 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1209323520 EdgesBipt[40][17]:={ {4,13}, {4,24}, {5,36}, {4,23}, {9,19}, {10,40}, {5,37}, {6,39}, {2,32}, {9,20}, {4,34}, {7,34}, {1,32}, {5,27}, {8,16}, {8,15}, {3,27}, {8,25}, {10,30}, {3,38}, {1,12}, {3,37}, {1,31}, {2,12}, {2,33}, {5,16}, {9,29}, {4,33}, {10,31}, {3,28}, {9,40}, {3,17}, {8,36}, {1,21}, {10,11}, {6,38}, {7,15}, {5,17}, {3,18}, {7,25}, {7,35}, {8,35}, {6,18}, {6,19}, {8,26}, {5,26}, {2,23}, {9,30}, {10,21}, {1,22}, {2,13}, {6,28}, {4,14}, {9,39}, {7,14}, {10,20}, {1,11}, {6,29}, {2,22}, {7,24} }; // ETB40.18 (= ET40.19) // Bipartite(10,30) Valencies [6,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[40][18]:={ {1,26}, {10,40}, {2,37}, {3,12}, {5,24}, {2,32}, {6,33}, {5,29}, {9,20}, {7,23}, {9,31}, {9,16}, {6,26}, {8,15}, {4,40}, {7,13}, {3,27}, {2,36}, {1,31}, {3,24}, {6,36}, {10,33}, {4,30}, {2,21}, {8,27}, {5,23}, {8,37}, {7,32}, {1,16}, {5,38}, {4,20}, {3,19}, {10,14}, {8,12}, {6,21}, {10,29}, {7,38}, {9,35}, {8,22}, {4,15}, {9,13}, {5,39}, {6,18}, {4,25}, {3,39}, {3,34}, {5,14}, {2,17}, {7,28}, {7,17}, {1,19}, {6,11}, {4,35}, {1,34}, {10,25}, {9,28}, {8,30}, {1,11}, {2,22}, {10,18} }; // ETB40.19 (= ET40.20) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[40][19]:={ {10,19}, {15,23}, {14,25}, {8,39}, {10,22}, {6,18}, {9,30}, {6,36}, {4,27}, {1,25}, {12,40}, {13,34}, {1,38}, {6,32}, {12,33}, {13,27}, {12,18}, {16,20}, {7,23}, {15,29}, {13,38}, {3,34}, {9,31}, {9,17}, {10,18}, {3,18}, {14,33}, {11,34}, {16,21}, {4,37}, {2,23}, {7,26}, {4,39}, {13,26}, {1,17}, {15,25}, {1,22}, {3,40}, {4,33}, {4,28}, {7,29}, {16,26}, {5,19}, {10,24}, {15,35}, {11,39}, {4,31}, {2,34}, {2,40}, {12,28}, {15,19}, {5,28}, {13,30}, {12,35}, {10,29}, {8,19}, {6,29}, {7,35}, {2,24}, {5,22}, {11,36}, {3,35}, {14,22}, {6,30}, {10,28}, {8,38}, {14,23}, {5,20}, {11,31}, {5,31}, {5,17}, {15,37}, {8,20}, {11,21}, {3,21}, {11,27}, {1,27}, {8,25}, {7,32}, {2,26}, {13,17}, {7,21}, {1,33}, {14,40}, {3,36}, {8,37}, {9,32}, {6,24}, {16,38}, {9,36}, {16,32}, {12,37}, {16,39}, {2,30}, {14,24}, {9,20} }; // ETB40.20 (= ET40.21) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[40][20]:={ {10,19}, {16,25}, {6,39}, {10,21}, {8,39}, {9,30}, {3,38}, {6,36}, {13,18}, {7,40}, {10,27}, {5,35}, {11,29}, {1,40}, {5,34}, {12,31}, {2,33}, {6,32}, {7,31}, {9,39}, {16,23}, {12,33}, {16,40}, {13,27}, {12,18}, {11,38}, {16,20}, {14,35}, {2,28}, {3,34}, {2,19}, {4,26}, {5,21}, {15,28}, {2,29}, {3,18}, {15,39}, {15,22}, {13,33}, {2,23}, {7,26}, {8,28}, {1,17}, {10,25}, {14,30}, {12,34}, {4,33}, {9,34}, {4,29}, {7,25}, {10,37}, {5,19}, {6,37}, {4,31}, {4,36}, {2,35}, {11,26}, {15,26}, {5,22}, {6,30}, {9,35}, {8,38}, {14,23}, {3,24}, {12,36}, {13,28}, {8,20}, {8,23}, {11,21}, {3,21}, {4,32}, {1,27}, {11,32}, {7,22}, {10,32}, {15,17}, {13,17}, {15,38}, {3,20}, {14,29}, {14,40}, {8,37}, {16,37}, {9,36}, {6,27}, {13,19}, {7,17}, {11,24}, {1,30}, {16,31}, {12,20}, {1,18}, {5,25}, {14,24}, {1,24}, {9,22} }; // ETB40.21 (= ET40.22) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[40][21]:={ {10,19}, {16,25}, {14,21}, {5,32}, {7,39}, {16,36}, {8,24}, {6,18}, {3,38}, {13,18}, {4,27}, {16,30}, {10,27}, {10,38}, {6,23}, {5,34}, {12,17}, {2,37}, {13,34}, {10,40}, {1,38}, {7,31}, {16,23}, {7,27}, {13,27}, {12,18}, {11,22}, {9,37}, {15,29}, {9,31}, {14,20}, {9,17}, {15,32}, {5,21}, {15,28}, {2,29}, {3,19}, {12,30}, {16,21}, {5,33}, {13,33}, {1,17}, {10,25}, {2,32}, {12,34}, {2,36}, {8,18}, {4,28}, {10,39}, {4,29}, {15,35}, {11,39}, {4,31}, {6,26}, {2,40}, {15,33}, {4,25}, {1,35}, {1,26}, {11,26}, {8,19}, {8,40}, {15,26}, {5,22}, {3,35}, {14,22}, {6,30}, {9,35}, {14,31}, {1,39}, {14,23}, {11,40}, {5,36}, {12,36}, {13,28}, {8,20}, {3,21}, {11,32}, {7,22}, {9,29}, {3,20}, {2,25}, {8,37}, {6,24}, {16,38}, {13,19}, {3,33}, {7,34}, {7,17}, {4,23}, {11,24}, {1,30}, {12,37}, {14,24}, {9,20}, {6,28} }; // ETB40.22 (= ET40.23) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[40][22]:={ {10,19}, {14,21}, {16,34}, {9,40}, {10,21}, {14,25}, {8,39}, {8,24}, {11,23}, {9,30}, {3,38}, {8,36}, {12,17}, {2,37}, {6,32}, {6,25}, {9,39}, {16,40}, {7,27}, {13,27}, {12,18}, {11,22}, {7,23}, {13,38}, {15,29}, {2,28}, {14,20}, {16,33}, {6,34}, {2,19}, {5,26}, {4,26}, {10,18}, {3,19}, {1,29}, {7,28}, {11,34}, {2,23}, {13,26}, {1,17}, {15,25}, {1,22}, {3,40}, {4,33}, {8,18}, {4,29}, {16,26}, {9,23}, {10,24}, {13,35}, {6,37}, {11,39}, {4,31}, {4,30}, {2,34}, {2,40}, {12,28}, {15,19}, {13,30}, {10,29}, {7,35}, {14,32}, {9,33}, {5,22}, {11,36}, {3,35}, {15,31}, {9,35}, {10,28}, {14,31}, {6,38}, {1,39}, {5,20}, {5,36}, {5,31}, {5,17}, {15,37}, {8,20}, {16,22}, {3,21}, {11,27}, {7,32}, {3,25}, {13,36}, {15,17}, {7,21}, {1,33}, {12,32}, {16,38}, {8,30}, {6,27}, {12,37}, {12,20}, {1,18}, {14,24}, {4,24} }; // ETB40.23 (= ET40.24) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 6144 EdgesBipt[40][23]:={ {11,17}, {8,39}, {6,18}, {10,27}, {10,38}, {14,19}, {7,38}, {1,25}, {12,31}, {2,37}, {13,34}, {10,40}, {2,33}, {6,32}, {6,25}, {13,27}, {9,21}, {12,27}, {14,35}, {7,23}, {15,29}, {9,31}, {3,31}, {2,18}, {4,26}, {6,22}, {3,19}, {12,21}, {12,30}, {11,34}, {14,33}, {9,38}, {5,23}, {15,34}, {15,22}, {2,31}, {2,23}, {13,33}, {1,36}, {1,17}, {3,40}, {8,18}, {9,34}, {16,26}, {16,35}, {5,29}, {2,40}, {7,30}, {4,21}, {4,17}, {5,28}, {12,35}, {15,26}, {14,22}, {10,28}, {8,38}, {13,32}, {5,20}, {9,28}, {11,40}, {5,36}, {3,26}, {9,24}, {15,37}, {6,20}, {11,30}, {10,17}, {1,37}, {7,22}, {15,27}, {4,18}, {8,25}, {3,25}, {7,32}, {11,20}, {1,33}, {14,29}, {3,36}, {8,30}, {16,37}, {10,35}, {13,19}, {16,32}, {7,36}, {4,23}, {11,24}, {5,39}, {16,39}, {1,21}, {12,20}, {14,24}, {4,19}, {8,29}, {13,39}, {6,28}, {16,24} }; // ETB40.24 (= ET40.25) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[40][24]:={ {7,19}, {16,34}, {9,40}, {14,25}, {15,23}, {16,36}, {8,31}, {8,24}, {2,38}, {10,22}, {12,39}, {9,30}, {5,30}, {6,36}, {11,33}, {6,17}, {5,35}, {1,40}, {13,24}, {14,18}, {7,33}, {12,31}, {6,25}, {9,19}, {12,18}, {11,38}, {6,40}, {7,23}, {15,29}, {2,28}, {3,31}, {6,34}, {2,18}, {5,21}, {10,23}, {3,19}, {12,21}, {16,21}, {4,37}, {10,34}, {13,33}, {2,23}, {4,39}, {1,17}, {14,30}, {2,36}, {8,18}, {7,29}, {4,29}, {16,26}, {3,22}, {10,37}, {8,26}, {15,20}, {15,35}, {3,27}, {5,28}, {12,29}, {1,26}, {3,35}, {15,31}, {16,27}, {14,22}, {8,27}, {10,28}, {9,35}, {6,38}, {14,37}, {5,20}, {9,24}, {11,25}, {12,36}, {13,28}, {9,26}, {10,17}, {11,27}, {4,32}, {1,20}, {11,32}, {7,22}, {7,32}, {3,25}, {13,17}, {15,38}, {11,20}, {1,33}, {14,40}, {8,37}, {4,34}, {13,19}, {16,32}, {5,39}, {2,30}, {1,21}, {4,24}, {13,39} }; // ETB40.25 (= ET40.26) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 96 EdgesBipt[40][25]:={ {13,25}, {6,39}, {7,39}, {9,40}, {10,21}, {13,29}, {8,24}, {12,26}, {10,22}, {6,18}, {3,29}, {2,22}, {1,31}, {1,40}, {4,40}, {5,34}, {5,24}, {6,32}, {2,33}, {12,33}, {9,39}, {9,19}, {13,27}, {11,22}, {16,20}, {8,34}, {3,34}, {14,20}, {5,21}, {3,19}, {9,38}, {10,34}, {4,20}, {13,33}, {8,28}, {4,39}, {15,25}, {2,36}, {8,18}, {14,28}, {9,23}, {14,38}, {6,37}, {3,23}, {16,29}, {14,26}, {11,18}, {7,30}, {4,21}, {2,35}, {15,33}, {5,28}, {12,35}, {9,25}, {10,29}, {1,26}, {8,19}, {12,24}, {15,26}, {4,38}, {12,23}, {2,27}, {6,19}, {14,17}, {3,35}, {1,23}, {16,27}, {6,30}, {14,31}, {13,32}, {8,32}, {4,22}, {11,40}, {11,31}, {5,36}, {5,17}, {15,37}, {12,36}, {11,30}, {11,27}, {16,28}, {3,25}, {7,37}, {15,17}, {15,38}, {7,21}, {10,20}, {10,35}, {13,37}, {16,32}, {7,36}, {7,17}, {16,31}, {2,30}, {1,18}, {1,24} }; // ETB40.26 (= ET40.27) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[40][26]:={ {3,22}, {11,30}, {1,26}, {12,27}, {8,19}, {4,23}, {9,23}, {14,31}, {15,40}, {2,37}, {5,24}, {2,32}, {6,33}, {11,17}, {16,34}, {13,34}, {9,21}, {7,31}, {8,38}, {8,23}, {6,26}, {14,39}, {1,39}, {2,40}, {11,20}, {13,25}, {11,29}, {12,32}, {15,29}, {6,30}, {1,20}, {6,36}, {3,29}, {3,20}, {11,33}, {9,32}, {13,18}, {8,27}, {4,32}, {16,27}, {16,36}, {1,38}, {15,21}, {5,31}, {15,31}, {7,40}, {9,40}, {4,38}, {10,34}, {8,36}, {13,36}, {5,28}, {3,25}, {2,18}, {4,27}, {4,21}, {9,33}, {3,30}, {12,37}, {12,24}, {15,17}, {7,25}, {7,22}, {7,35}, {10,24}, {4,28}, {5,39}, {16,19}, {10,39}, {1,17}, {6,18}, {14,21}, {3,34}, {10,19}, {14,38}, {8,26}, {9,18}, {12,35}, {15,33}, {5,35}, {2,35}, {1,19}, {10,22}, {11,26}, {12,28}, {2,25}, {16,37}, {13,37}, {13,30}, {14,28}, {16,24}, {10,20}, {14,17}, {5,22}, {6,23}, {7,29} }; // ETB40.27 (= ET40.28) // Bipartite(16,24) Valencies [6,4] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6879707136 EdgesBipt[40][27]:={ {14,39}, {4,35}, {10,19}, {16,25}, {6,39}, {7,39}, {15,23}, {13,29}, {8,24}, {12,19}, {3,29}, {3,38}, {7,40}, {4,27}, {10,27}, {7,24}, {11,29}, {6,23}, {1,25}, {7,31}, {16,40}, {15,40}, {11,38}, {3,30}, {11,22}, {12,27}, {7,23}, {16,33}, {2,19}, {2,18}, {9,17}, {10,18}, {15,32}, {6,22}, {13,20}, {5,21}, {5,37}, {1,34}, {15,39}, {10,34}, {4,20}, {8,33}, {1,17}, {14,30}, {16,17}, {9,34}, {4,28}, {3,22}, {14,38}, {8,17}, {5,29}, {2,34}, {12,28}, {4,36}, {2,35}, {5,28}, {12,35}, {9,25}, {1,26}, {11,37}, {8,40}, {6,31}, {9,33}, {2,27}, {15,31}, {14,22}, {6,30}, {14,31}, {6,38}, {14,23}, {8,32}, {5,20}, {5,36}, {12,36}, {13,28}, {11,21}, {9,26}, {3,21}, {11,30}, {9,18}, {13,21}, {8,25}, {7,32}, {2,26}, {13,36}, {1,33}, {3,37}, {10,26}, {10,35}, {13,37}, {16,32}, {12,20}, {1,18}, {15,24}, {4,19}, {16,24} }; // ETB40.28 (= ET40.29) // Bipartite(16,24) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 50331648 EdgesBipt[40][28]:={ {7,19}, {14,21}, {16,34}, {9,40}, {7,39}, {10,21}, {15,23}, {14,25}, {13,29}, {14,34}, {16,30}, {10,27}, {1,40}, {2,20}, {4,40}, {13,24}, {12,40}, {5,24}, {16,18}, {2,33}, {7,31}, {6,25}, {7,27}, {12,18}, {7,23}, {8,34}, {13,38}, {3,31}, {6,34}, {5,26}, {9,17}, {6,22}, {3,19}, {1,29}, {8,22}, {12,30}, {14,33}, {15,39}, {4,20}, {13,26}, {1,17}, {2,32}, {6,33}, {6,21}, {8,18}, {4,28}, {10,39}, {16,26}, {9,23}, {15,35}, {8,26}, {6,37}, {5,29}, {4,30}, {10,33}, {15,19}, {12,28}, {1,35}, {11,37}, {7,35}, {11,36}, {2,27}, {5,38}, {15,31}, {1,23}, {2,21}, {14,22}, {9,35}, {11,19}, {8,38}, {14,37}, {2,39}, {9,28}, {11,31}, {5,36}, {3,24}, {5,17}, {11,25}, {16,22}, {4,32}, {15,27}, {4,18}, {9,29}, {3,25}, {10,32}, {13,36}, {13,17}, {12,32}, {1,28}, {3,36}, {10,20}, {3,37}, {16,38}, {8,30}, {11,24}, {12,20} }; // ETB40.29 (= ET40.30) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1934917632 EdgesBipt[40][29]:={ {4,35}, {7,19}, {16,25}, {15,23}, {13,29}, {8,39}, {8,31}, {12,26}, {10,22}, {12,39}, {9,30}, {3,29}, {4,27}, {8,36}, {10,38}, {14,19}, {13,24}, {5,34}, {1,25}, {12,31}, {2,37}, {9,39}, {16,40}, {15,40}, {7,27}, {12,18}, {14,35}, {9,31}, {16,33}, {2,18}, {5,26}, {15,32}, {6,22}, {2,29}, {14,27}, {10,30}, {15,39}, {9,38}, {5,33}, {7,26}, {8,28}, {1,36}, {1,17}, {10,25}, {12,34}, {6,21}, {16,17}, {9,23}, {6,37}, {11,28}, {4,30}, {2,34}, {10,33}, {13,40}, {6,29}, {7,35}, {4,38}, {12,23}, {14,32}, {11,36}, {15,31}, {2,21}, {6,30}, {11,19}, {7,18}, {6,38}, {13,32}, {4,22}, {3,28}, {5,17}, {8,20}, {8,23}, {3,21}, {10,17}, {11,27}, {13,21}, {1,20}, {2,26}, {11,20}, {3,20}, {1,33}, {14,40}, {1,28}, {3,36}, {3,37}, {5,18}, {7,34}, {13,37}, {16,32}, {11,35}, {15,24}, {5,25}, {4,19}, {14,24}, {9,22}, {16,24} }; // ETB40.30 (= ET40.31) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 98304 EdgesBipt[40][30]:={ {14,39}, {13,25}, {6,39}, {10,21}, {13,29}, {8,39}, {8,31}, {8,24}, {11,23}, {14,34}, {6,36}, {7,40}, {4,27}, {5,35}, {2,20}, {5,34}, {7,38}, {7,33}, {3,32}, {13,34}, {2,33}, {6,32}, {7,31}, {15,40}, {9,19}, {6,40}, {11,22}, {9,37}, {12,27}, {6,34}, {2,18}, {5,26}, {9,17}, {10,18}, {3,19}, {8,22}, {12,21}, {12,30}, {9,27}, {1,36}, {13,26}, {1,17}, {14,30}, {16,17}, {4,28}, {3,22}, {10,24}, {15,35}, {13,35}, {3,23}, {8,17}, {5,29}, {16,29}, {4,30}, {10,33}, {1,19}, {12,28}, {4,21}, {15,33}, {5,28}, {7,35}, {4,38}, {12,23}, {14,32}, {2,24}, {12,38}, {14,36}, {15,31}, {2,21}, {6,30}, {11,19}, {15,37}, {11,25}, {13,28}, {16,22}, {9,18}, {1,37}, {1,27}, {11,32}, {3,25}, {2,26}, {7,37}, {15,38}, {11,20}, {3,20}, {14,40}, {10,20}, {10,26}, {9,36}, {4,23}, {16,31}, {16,39}, {1,18}, {5,25}, {8,29}, {16,24} }; // ETB40.31 (= ET40.32) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2359296 EdgesBipt[40][31]:={ {14,39}, {16,25}, {9,40}, {8,39}, {11,23}, {6,18}, {14,34}, {5,30}, {11,33}, {6,17}, {16,30}, {10,27}, {7,24}, {5,34}, {7,38}, {1,25}, {12,22}, {16,18}, {12,33}, {16,23}, {6,40}, {15,29}, {13,38}, {3,34}, {2,19}, {5,26}, {14,27}, {1,29}, {12,21}, {4,20}, {2,31}, {2,23}, {13,33}, {7,26}, {8,28}, {13,26}, {10,25}, {1,17}, {12,34}, {15,36}, {10,39}, {16,35}, {7,25}, {3,22}, {10,37}, {8,26}, {3,23}, {11,28}, {4,31}, {4,30}, {15,19}, {2,35}, {8,40}, {6,29}, {5,22}, {2,27}, {5,38}, {14,17}, {15,31}, {3,35}, {14,22}, {6,30}, {8,27}, {8,38}, {2,39}, {11,40}, {9,28}, {3,24}, {9,24}, {11,21}, {4,32}, {13,21}, {1,37}, {4,18}, {10,32}, {15,17}, {7,37}, {1,33}, {14,29}, {12,32}, {3,36}, {10,20}, {9,32}, {5,18}, {16,37}, {13,31}, {9,36}, {13,19}, {7,36}, {11,35}, {1,21}, {12,20}, {15,24}, {4,19}, {9,20}, {6,28} }; // ETB40.32 (= ET40.33) // Bipartite(16,24) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 786432 EdgesBipt[40][32]:={ {12,38}, {5,33}, {6,37}, {5,32}, {13,28}, {10,27}, {14,19}, {14,31}, {10,40}, {2,26}, {4,37}, {6,39}, {12,18}, {1,29}, {9,25}, {11,17}, {16,34}, {1,37}, {1,33}, {16,23}, {3,21}, {2,40}, {10,32}, {3,33}, {11,29}, {9,38}, {11,27}, {12,30}, {15,38}, {15,27}, {8,24}, {3,23}, {12,31}, {8,29}, {9,37}, {2,33}, {7,30}, {2,21}, {4,30}, {4,32}, {5,21}, {5,20}, {4,18}, {16,30}, {13,40}, {9,24}, {7,40}, {16,18}, {7,18}, {14,36}, {8,36}, {13,36}, {2,38}, {1,21}, {9,36}, {4,20}, {3,19}, {6,27}, {14,32}, {3,31}, {12,19}, {16,35}, {13,35}, {8,34}, {8,22}, {12,26}, {16,22}, {13,23}, {10,39}, {1,17}, {4,25}, {2,28}, {15,34}, {7,28}, {13,24}, {6,25}, {6,35}, {15,39}, {5,34}, {14,20}, {11,39}, {14,24}, {7,17}, {10,28}, {9,26}, {15,26}, {11,19}, {10,20}, {11,31}, {5,22}, {1,25}, {8,17}, {6,23}, {15,22}, {3,35}, {7,29} }; // ETB40.33 (= ET40.34) // Bipartite(20,20) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[40][33]:={ {13,25}, {7,39}, {15,23}, {8,24}, {11,23}, {14,34}, {1,31}, {16,30}, {18,39}, {12,40}, {20,21}, {20,23}, {3,32}, {19,40}, {2,33}, {7,31}, {9,21}, {19,24}, {1,32}, {12,27}, {14,35}, {7,23}, {9,31}, {5,26}, {4,26}, {15,32}, {6,22}, {15,28}, {2,29}, {14,27}, {19,37}, {14,33}, {11,34}, {16,21}, {9,38}, {5,33}, {5,23}, {17,30}, {4,37}, {9,27}, {20,35}, {10,36}, {2,23}, {4,39}, {1,36}, {13,26}, {10,25}, {15,25}, {1,22}, {3,40}, {6,21}, {9,34}, {7,25}, {10,37}, {18,25}, {15,35}, {14,38}, {11,39}, {5,29}, {19,29}, {3,27}, {2,34}, {4,30}, {12,28}, {4,21}, {15,33}, {17,33}, {5,28}, {10,29}, {11,26}, {8,40}, {13,22}, {7,35}, {12,24}, {6,31}, {18,32}, {3,35}, {9,35}, {10,28}, {6,38}, {8,38}, {4,22}, {3,28}, {19,36}, {12,36}, {16,22}, {11,21}, {11,30}, {17,34}, {1,27}, {7,32}, {17,29}, {2,26}, {13,36}, {20,34}, {17,38}, {12,32}, {14,40}, {18,31}, {8,37}, {18,36}, {20,31}, {20,39}, {6,24}, {16,38}, {18,22}, {8,30}, {16,37}, {10,26}, {6,27}, {3,33}, {13,37}, {17,40}, {19,28}, {2,30}, {5,25}, {1,24}, {8,29}, {13,39}, {16,24} }; // ETB40.34 (= ET40.35) // Bipartite(20,20) Valencies [6,6] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 480 EdgesBipt[40][34]:={ {14,39}, {16,25}, {13,25}, {20,27}, {10,21}, {16,36}, {12,26}, {2,38}, {11,23}, {17,27}, {3,38}, {20,28}, {6,36}, {1,31}, {16,30}, {8,36}, {5,35}, {10,38}, {1,40}, {4,40}, {1,38}, {19,27}, {16,40}, {7,27}, {15,40}, {9,21}, {11,38}, {3,30}, {19,23}, {14,35}, {18,23}, {3,34}, {6,22}, {10,23}, {5,37}, {7,28}, {12,21}, {11,34}, {15,39}, {9,38}, {17,23}, {5,33}, {10,34}, {20,33}, {2,31}, {8,33}, {8,28}, {19,26}, {18,33}, {15,25}, {14,30}, {6,33}, {3,40}, {12,34}, {15,36}, {16,35}, {7,25}, {9,23}, {8,35}, {13,35}, {6,37}, {4,31}, {4,30}, {2,34}, {4,21}, {17,33}, {12,29}, {10,29}, {11,26}, {13,40}, {12,24}, {5,22}, {17,22}, {18,32}, {14,36}, {2,21}, {5,27}, {8,27}, {18,28}, {14,31}, {1,39}, {2,39}, {14,37}, {20,32}, {3,24}, {9,24}, {15,37}, {9,26}, {18,29}, {19,22}, {20,26}, {3,39}, {11,32}, {7,22}, {8,25}, {9,29}, {17,29}, {20,29}, {10,32}, {7,37}, {12,32}, {17,26}, {6,35}, {18,22}, {13,31}, {19,32}, {4,34}, {13,37}, {15,30}, {7,36}, {11,24}, {16,31}, {19,28}, {2,30}, {1,21}, {5,25}, {4,24}, {1,24}, {13,39}, {6,28} }; // ETB40.35 (= ET40.36) // Bipartite(20,20) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 480 EdgesBipt[40][35]:={ {15,23}, {14,25}, {8,39}, {12,26}, {18,40}, {9,30}, {17,27}, {20,28}, {7,40}, {10,27}, {5,35}, {11,29}, {13,24}, {7,38}, {7,33}, {2,37}, {13,34}, {10,40}, {2,33}, {6,32}, {12,33}, {9,39}, {19,31}, {11,38}, {19,23}, {7,23}, {18,21}, {19,38}, {13,38}, {15,29}, {9,31}, {12,25}, {16,33}, {5,26}, {4,26}, {6,22}, {20,40}, {5,21}, {10,23}, {14,27}, {1,29}, {8,22}, {20,25}, {7,28}, {1,34}, {16,21}, {4,37}, {10,34}, {2,31}, {4,39}, {1,22}, {12,34}, {15,36}, {4,29}, {10,24}, {18,25}, {8,35}, {15,35}, {6,37}, {3,23}, {11,28}, {14,26}, {2,40}, {7,30}, {2,35}, {17,33}, {12,35}, {13,30}, {1,26}, {4,38}, {2,24}, {11,36}, {17,22}, {16,27}, {5,27}, {6,30}, {8,27}, {14,31}, {14,23}, {14,37}, {11,31}, {5,36}, {3,24}, {17,37}, {15,37}, {9,26}, {3,21}, {18,29}, {19,22}, {4,32}, {13,21}, {17,34}, {18,30}, {16,28}, {8,25}, {3,25}, {10,32}, {20,34}, {17,38}, {12,32}, {1,28}, {3,36}, {18,31}, {20,39}, {6,24}, {20,36}, {9,36}, {19,32}, {19,35}, {3,33}, {15,30}, {16,32}, {11,24}, {16,39}, {1,21}, {5,40}, {8,29}, {13,39}, {6,28}, {9,22} }; // ETB40.36 (= ET40.37) // Bipartite(20,20) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122880 EdgesBipt[40][36]:={ {16,36}, {10,22}, {12,39}, {9,30}, {5,30}, {6,36}, {11,33}, {16,30}, {5,35}, {11,29}, {10,38}, {4,40}, {1,25}, {12,40}, {7,33}, {20,23}, {3,32}, {18,37}, {1,38}, {19,27}, {7,31}, {15,40}, {13,27}, {11,38}, {9,37}, {19,23}, {12,27}, {18,21}, {15,29}, {12,25}, {3,31}, {4,26}, {5,21}, {10,23}, {1,29}, {8,22}, {19,37}, {7,28}, {11,34}, {1,34}, {17,31}, {16,21}, {10,34}, {20,38}, {9,27}, {2,23}, {8,33}, {19,30}, {18,33}, {13,26}, {15,25}, {18,38}, {6,21}, {8,21}, {4,28}, {10,39}, {16,26}, {4,29}, {14,28}, {9,23}, {8,35}, {15,35}, {6,37}, {5,29}, {3,27}, {14,26}, {6,26}, {2,40}, {4,36}, {17,33}, {17,36}, {12,24}, {18,35}, {12,23}, {2,24}, {6,31}, {2,27}, {17,22}, {14,36}, {15,21}, {6,30}, {9,35}, {8,38}, {13,32}, {2,39}, {3,28}, {20,32}, {3,26}, {11,25}, {13,28}, {3,39}, {17,34}, {7,22}, {10,32}, {20,34}, {1,33}, {14,29}, {14,40}, {2,25}, {8,37}, {20,39}, {9,32}, {18,22}, {16,37}, {17,28}, {13,31}, {19,32}, {19,35}, {20,22}, {7,34}, {15,30}, {7,36}, {11,24}, {16,31}, {5,25}, {14,24}, {4,24}, {5,40}, {1,24}, {13,39} }; // ETB40.37 (= ET40.38) // Bipartite(20,20) Valencies [6,6] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 251658240 EdgesBipt[40][37]:={ {14,39}, {14,21}, {9,40}, {13,29}, {8,24}, {12,26}, {12,39}, {9,30}, {3,29}, {16,30}, {5,35}, {7,38}, {7,33}, {20,23}, {19,40}, {18,37}, {1,38}, {6,32}, {16,40}, {19,24}, {11,38}, {3,30}, {6,40}, {7,23}, {8,34}, {12,25}, {6,22}, {5,21}, {10,23}, {2,29}, {5,37}, {18,24}, {8,22}, {7,28}, {16,21}, {17,23}, {10,34}, {20,33}, {10,36}, {13,33}, {19,30}, {4,39}, {1,36}, {15,25}, {3,40}, {6,21}, {2,36}, {9,34}, {4,28}, {4,29}, {14,28}, {10,24}, {20,24}, {14,38}, {15,35}, {3,23}, {11,28}, {4,31}, {18,34}, {10,33}, {4,21}, {2,35}, {17,33}, {12,29}, {13,30}, {12,35}, {9,25}, {1,26}, {11,26}, {11,37}, {13,40}, {18,27}, {4,38}, {6,31}, {11,36}, {17,22}, {18,32}, {15,21}, {15,31}, {5,27}, {6,30}, {9,35}, {8,27}, {14,31}, {2,39}, {8,32}, {5,31}, {9,24}, {15,37}, {12,36}, {16,22}, {20,26}, {11,27}, {19,34}, {3,39}, {1,37}, {1,27}, {15,27}, {7,22}, {7,32}, {13,23}, {2,26}, {20,34}, {17,38}, {14,29}, {2,25}, {1,28}, {8,37}, {17,32}, {18,22}, {17,28}, {20,36}, {10,26}, {19,25}, {19,35}, {3,33}, {16,32}, {16,31}, {5,25}, {13,39} }; // ETB40.38 (= ET40.45) // Bipartite(8,32) Valencies [8,2] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1761205026816 EdgesBipt[40][38]:={ {2,11}, {3,22}, {5,12}, {1,26}, {5,36}, {7,16}, {2,26}, {5,37}, {6,39}, {4,36}, {5,29}, {7,23}, {2,10}, {7,31}, {8,9}, {1,33}, {8,16}, {1,10}, {6,14}, {4,11}, {3,21}, {6,31}, {8,25}, {3,38}, {6,30}, {8,24}, {3,37}, {3,29}, {6,15}, {8,32}, {5,21}, {5,20}, {4,12}, {7,32}, {8,40}, {7,40}, {8,33}, {5,28}, {2,18}, {4,27}, {4,20}, {6,38}, {3,30}, {7,15}, {3,14}, {1,18}, {4,28}, {2,27}, {1,17}, {6,22}, {2,19}, {3,13}, {7,39}, {2,35}, {5,13}, {2,34}, {1,9}, {4,35}, {1,34}, {4,19}, {1,25}, {8,17}, {6,23}, {7,24} }; // ETB40.39 (= ET40.46) // Bipartite(8,32) Valencies [8,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[40][39]:={ {3,22}, {4,9}, {6,34}, {7,16}, {1,24}, {3,12}, {5,37}, {2,26}, {1,29}, {6,33}, {2,29}, {7,23}, {2,10}, {8,38}, {1,40}, {5,27}, {8,23}, {6,14}, {4,11}, {5,10}, {8,21}, {6,12}, {5,11}, {3,38}, {6,30}, {2,36}, {8,24}, {4,16}, {7,33}, {7,36}, {4,32}, {5,21}, {7,32}, {8,37}, {8,40}, {2,31}, {2,20}, {3,28}, {3,15}, {4,27}, {3,19}, {2,15}, {3,31}, {5,30}, {1,18}, {8,22}, {7,20}, {6,18}, {4,25}, {5,14}, {6,17}, {7,39}, {5,26}, {1,13}, {7,17}, {1,9}, {2,13}, {6,28}, {4,35}, {1,34}, {4,19}, {1,25}, {8,39}, {3,35} }; // ETB40.40 (= ET40.47) // Bipartite(20,20) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 320 EdgesBipt[40][40]:={ {10,24}, {13,32}, {4,27}, {12,29}, {5,34}, {13,40}, {16,33}, {16,26}, {18,29}, {10,37}, {18,32}, {16,40}, {14,39}, {12,22}, {12,32}, {7,38}, {8,28}, {16,31}, {18,38}, {4,29}, {10,23}, {1,40}, {10,26}, {17,34}, {14,38}, {7,22}, {3,37}, {2,26}, {1,21}, {12,35}, {17,21}, {8,25}, {5,32}, {4,23}, {8,27}, {16,29}, {19,21}, {15,25}, {10,30}, {4,38}, {6,21}, {14,23}, {5,40}, {11,38}, {6,31}, {2,34}, {4,22}, {19,40}, {17,37}, {14,36}, {9,32}, {19,26}, {16,24}, {19,30}, {5,29}, {2,38}, {2,37}, {14,30}, {7,39}, {5,25}, {17,39}, {7,32}, {17,23}, {1,31}, {10,28}, {14,24}, {20,31}, {2,35}, {17,33}, {20,33}, {4,33}, {13,22}, {16,37}, {3,39}, {18,30}, {3,32}, {11,21}, {9,25}, {13,33}, {6,33}, {7,26}, {11,23}, {5,30}, {15,35}, {12,28}, {12,25}, {15,34}, {18,24}, {13,28}, {18,27}, {1,28}, {18,36}, {1,33}, {6,23}, {16,38}, {15,36}, {18,31}, {9,22}, {7,31}, {4,36}, {17,28}, {20,29}, {12,27}, {9,40}, {1,24}, {6,27}, {11,24}, {11,39}, {6,26}, {8,40}, {20,23}, {20,39}, {8,23}, {20,25}, {3,21}, {1,25}, {19,36}, {13,27}, {15,21}, {14,25}, {5,39}, {20,35}, {19,32}, {20,37}, {13,26}, {11,26}, {10,35}, {6,36}, {3,30}, {8,34}, {3,24}, {2,29}, {10,27}, {2,22}, {4,34}, {15,22}, {8,24}, {11,40}, {9,33}, {9,36}, {15,28}, {9,39}, {9,38}, {3,28}, {14,35}, {13,37}, {3,31}, {12,31}, {11,34}, {7,35}, {17,22}, {2,30}, {15,30}, {19,34}, {5,37}, {6,35}, {7,21}, {8,29}, {19,27}, {1,36} }; // ETB40.41 (= ET40.48) // Bipartite(20,20) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 1920 EdgesBipt[40][41]:={ {10,25}, {10,24}, {9,28}, {6,32}, {18,39}, {17,36}, {4,24}, {15,24}, {18,29}, {3,22}, {17,38}, {10,37}, {16,40}, {12,22}, {5,38}, {12,32}, {7,38}, {8,28}, {15,31}, {10,23}, {12,38}, {1,40}, {17,34}, {14,38}, {4,31}, {10,33}, {2,27}, {13,35}, {1,21}, {16,25}, {17,21}, {2,28}, {12,34}, {17,40}, {4,23}, {8,27}, {19,21}, {11,28}, {6,29}, {16,30}, {15,29}, {4,38}, {3,34}, {11,33}, {2,34}, {10,38}, {17,37}, {14,36}, {9,32}, {9,26}, {19,30}, {9,27}, {12,36}, {14,30}, {14,40}, {5,25}, {2,39}, {1,31}, {7,25}, {11,31}, {20,31}, {15,27}, {19,38}, {20,33}, {6,30}, {5,23}, {4,21}, {16,37}, {10,40}, {3,39}, {4,35}, {8,36}, {2,32}, {13,33}, {16,32}, {11,23}, {11,29}, {17,30}, {15,35}, {13,23}, {12,25}, {8,22}, {18,24}, {20,28}, {13,28}, {18,26}, {18,27}, {3,27}, {14,37}, {1,33}, {3,29}, {3,26}, {8,26}, {18,31}, {16,22}, {9,22}, {7,31}, {20,29}, {8,32}, {1,24}, {14,22}, {13,24}, {11,24}, {5,31}, {6,26}, {20,23}, {12,40}, {20,39}, {1,25}, {19,36}, {18,23}, {6,28}, {9,30}, {13,27}, {1,35}, {1,37}, {16,34}, {14,25}, {16,21}, {20,35}, {19,32}, {4,37}, {11,26}, {13,26}, {4,40}, {10,35}, {7,23}, {6,36}, {3,30}, {5,33}, {8,34}, {20,26}, {2,29}, {11,27}, {2,22}, {15,33}, {14,32}, {9,36}, {6,34}, {19,25}, {15,28}, {9,39}, {7,24}, {15,39}, {6,39}, {7,33}, {17,22}, {13,39}, {5,21}, {2,30}, {19,34}, {5,35}, {5,37}, {3,36}, {18,35}, {7,40}, {19,37}, {7,21}, {8,29}, {12,21} }; // ETB40.42 (= ET40.49) // Bipartite(20,20) Valencies [8,8] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 1268067619307520 EdgesBipt[40][42]:={ {3,33}, {10,24}, {17,35}, {18,39}, {11,36}, {5,34}, {16,33}, {15,24}, {16,26}, {18,29}, {4,26}, {10,37}, {4,30}, {12,22}, {12,32}, {8,28}, {18,38}, {16,31}, {20,27}, {8,33}, {7,22}, {4,31}, {2,27}, {14,31}, {8,39}, {1,21}, {12,35}, {5,32}, {17,40}, {16,23}, {9,35}, {13,29}, {12,37}, {18,34}, {10,22}, {19,21}, {11,28}, {15,29}, {6,21}, {3,34}, {2,25}, {11,38}, {11,33}, {6,31}, {1,38}, {5,22}, {19,40}, {17,37}, {14,21}, {14,36}, {19,26}, {15,32}, {9,26}, {19,30}, {5,29}, {2,37}, {14,30}, {14,40}, {7,32}, {1,31}, {7,25}, {11,31}, {2,35}, {15,27}, {4,21}, {10,29}, {7,30}, {3,39}, {11,21}, {4,35}, {9,25}, {13,33}, {6,33}, {2,32}, {11,23}, {1,23}, {17,30}, {5,24}, {17,27}, {13,23}, {12,25}, {15,37}, {15,34}, {18,24}, {13,28}, {19,31}, {1,28}, {20,22}, {1,33}, {18,33}, {3,29}, {6,23}, {16,38}, {4,36}, {20,29}, {12,27}, {9,40}, {13,24}, {17,25}, {6,26}, {12,40}, {20,39}, {12,30}, {3,23}, {8,23}, {10,32}, {19,36}, {18,23}, {6,28}, {9,30}, {10,39}, {14,25}, {5,39}, {16,21}, {20,37}, {11,26}, {4,40}, {16,36}, {6,36}, {8,34}, {3,24}, {18,28}, {10,27}, {20,34}, {8,38}, {1,26}, {2,22}, {10,34}, {15,22}, {8,24}, {20,24}, {6,38}, {2,40}, {9,36}, {5,27}, {19,25}, {13,38}, {4,25}, {3,38}, {3,28}, {7,27}, {14,35}, {15,39}, {13,34}, {19,35}, {7,35}, {13,39}, {17,22}, {2,30}, {7,37}, {9,31}, {5,37}, {17,32}, {9,21}, {16,28}, {7,40}, {20,32}, {8,29}, {1,36}, {14,26} }; // ETB40.43 (= ET40.50) // Bipartite(20,20) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 978447237120 EdgesBipt[40][43]:={ {4,35}, {14,21}, {16,34}, {5,32}, {6,39}, {14,25}, {8,24}, {2,38}, {10,22}, {18,40}, {2,22}, {17,27}, {5,30}, {1,31}, {4,27}, {8,36}, {5,35}, {11,29}, {13,24}, {7,38}, {7,33}, {2,37}, {12,22}, {13,34}, {10,40}, {1,38}, {19,27}, {2,33}, {12,33}, {19,31}, {7,27}, {15,40}, {9,21}, {11,38}, {3,30}, {9,37}, {12,27}, {14,35}, {18,23}, {7,23}, {8,34}, {15,29}, {2,28}, {3,34}, {9,31}, {6,34}, {4,26}, {15,32}, {20,40}, {10,30}, {14,27}, {1,29}, {18,24}, {19,37}, {20,25}, {7,28}, {11,34}, {1,34}, {15,39}, {16,21}, {17,23}, {4,37}, {15,22}, {9,27}, {20,35}, {2,23}, {13,33}, {8,33}, {19,26}, {18,33}, {10,25}, {13,26}, {15,25}, {2,32}, {3,40}, {6,21}, {10,39}, {8,26}, {15,35}, {3,23}, {11,39}, {5,29}, {16,29}, {11,28}, {4,31}, {18,34}, {14,26}, {12,28}, {4,36}, {4,21}, {17,33}, {13,30}, {9,25}, {4,25}, {10,29}, {13,40}, {8,40}, {6,29}, {12,23}, {6,31}, {12,38}, {5,22}, {2,27}, {17,22}, {14,36}, {9,35}, {1,39}, {6,38}, {14,31}, {14,37}, {11,31}, {20,32}, {3,26}, {3,24}, {17,37}, {19,36}, {8,23}, {20,30}, {11,21}, {9,26}, {7,22}, {18,30}, {16,28}, {7,32}, {20,29}, {13,23}, {10,32}, {13,36}, {7,37}, {17,38}, {12,32}, {1,28}, {3,36}, {18,36}, {20,39}, {6,24}, {16,38}, {17,32}, {8,30}, {17,28}, {9,36}, {10,35}, {19,25}, {19,35}, {20,22}, {3,33}, {15,30}, {19,21}, {11,24}, {12,37}, {5,39}, {16,31}, {16,39}, {1,21}, {5,25}, {5,40}, {18,26}, {1,24}, {6,28}, {16,24} }; // ETB40.44 (= ET40.51) // Bipartite(20,20) Valencies [8,8] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 83886080 EdgesBipt[40][44]:={ {4,35}, {16,25}, {13,25}, {6,39}, {10,21}, {14,25}, {8,39}, {8,31}, {2,38}, {2,22}, {17,27}, {5,30}, {1,31}, {4,27}, {16,30}, {18,39}, {19,39}, {6,23}, {13,24}, {12,40}, {7,33}, {12,22}, {20,21}, {20,23}, {13,34}, {18,37}, {1,38}, {17,35}, {7,31}, {9,39}, {6,25}, {16,23}, {16,40}, {7,27}, {15,40}, {19,24}, {11,38}, {3,30}, {1,32}, {11,22}, {6,40}, {19,23}, {14,35}, {7,23}, {18,21}, {19,33}, {15,29}, {2,28}, {3,34}, {16,33}, {4,26}, {10,23}, {15,28}, {14,27}, {5,37}, {8,22}, {12,30}, {15,39}, {17,31}, {17,23}, {4,37}, {10,34}, {20,33}, {10,36}, {1,36}, {13,26}, {1,22}, {2,32}, {6,33}, {3,40}, {12,34}, {8,21}, {9,34}, {4,28}, {10,31}, {16,35}, {7,25}, {14,28}, {9,23}, {10,24}, {20,24}, {13,35}, {14,38}, {5,29}, {16,29}, {11,28}, {19,29}, {2,34}, {10,33}, {14,26}, {2,40}, {12,28}, {4,36}, {17,33}, {5,28}, {13,30}, {4,25}, {1,26}, {11,26}, {13,40}, {6,29}, {18,27}, {7,35}, {12,24}, {4,38}, {2,24}, {9,33}, {12,38}, {11,36}, {18,32}, {14,36}, {5,38}, {3,35}, {5,27}, {6,30}, {8,27}, {14,37}, {8,32}, {11,31}, {3,26}, {3,24}, {17,37}, {9,24}, {15,37}, {11,21}, {18,29}, {19,22}, {17,21}, {20,26}, {19,34}, {11,32}, {15,27}, {9,29}, {3,25}, {13,36}, {20,34}, {7,37}, {15,38}, {7,21}, {12,32}, {1,28}, {3,36}, {18,31}, {8,37}, {20,31}, {9,32}, {6,35}, {18,22}, {20,36}, {10,26}, {19,32}, {15,30}, {5,39}, {16,39}, {2,30}, {1,21}, {5,40}, {17,25}, {8,29}, {9,22} }; // ETB40.45 (= ET40.52) // Bipartite(20,20) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT Non-AT // Automorphism group of order 640 EdgesBipt[40][45]:={ {3,33}, {2,24}, {13,32}, {9,28}, {2,33}, {6,32}, {11,36}, {11,35}, {13,40}, {4,24}, {16,33}, {16,26}, {18,29}, {4,26}, {3,40}, {17,38}, {11,25}, {8,30}, {14,39}, {2,23}, {12,32}, {16,31}, {4,29}, {20,27}, {1,32}, {8,33}, {1,27}, {10,23}, {1,40}, {17,34}, {12,39}, {7,22}, {14,31}, {7,34}, {1,21}, {16,25}, {18,21}, {2,28}, {12,34}, {17,40}, {9,35}, {20,30}, {8,27}, {13,29}, {12,37}, {10,22}, {10,30}, {19,28}, {6,21}, {3,34}, {2,25}, {11,33}, {6,40}, {2,34}, {5,22}, {4,22}, {9,29}, {17,37}, {14,21}, {9,32}, {14,36}, {19,26}, {15,32}, {16,24}, {9,26}, {15,40}, {2,37}, {5,25}, {17,23}, {11,31}, {14,24}, {17,33}, {15,27}, {19,38}, {5,23}, {4,21}, {10,31}, {1,29}, {3,39}, {9,25}, {8,36}, {7,26}, {13,33}, {11,29}, {5,30}, {17,30}, {5,24}, {9,37}, {12,28}, {13,25}, {18,24}, {8,35}, {18,26}, {19,31}, {18,27}, {20,22}, {18,36}, {16,38}, {13,30}, {17,28}, {20,29}, {12,23}, {14,22}, {5,31}, {11,24}, {6,26}, {8,40}, {20,23}, {12,40}, {14,34}, {1,39}, {20,25}, {19,36}, {6,28}, {10,39}, {1,35}, {15,21}, {7,28}, {20,37}, {4,37}, {7,23}, {3,30}, {5,33}, {16,35}, {11,27}, {10,27}, {8,38}, {10,36}, {10,34}, {15,22}, {18,22}, {19,39}, {6,38}, {2,31}, {5,27}, {13,38}, {9,38}, {4,25}, {3,38}, {15,23}, {13,37}, {7,24}, {15,39}, {3,31}, {6,39}, {19,35}, {15,30}, {19,34}, {7,37}, {6,35}, {3,36}, {18,35}, {16,28}, {20,32}, {7,21}, {8,29}, {4,32}, {12,21}, {1,36}, {14,26} }; // ETB40.46 (= ET40.53) // Bipartite(20,20) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT Non-AT // Automorphism group of order 320 EdgesBipt[40][46]:={ {10,25}, {9,28}, {4,27}, {12,29}, {16,26}, {4,26}, {3,40}, {18,32}, {8,30}, {16,40}, {14,39}, {7,38}, {16,31}, {18,38}, {15,31}, {4,29}, {20,40}, {7,22}, {3,35}, {14,31}, {2,26}, {8,39}, {7,34}, {1,21}, {16,25}, {7,36}, {17,21}, {2,28}, {12,34}, {16,23}, {9,35}, {20,30}, {12,37}, {18,34}, {10,22}, {11,28}, {18,37}, {19,33}, {6,21}, {3,34}, {2,25}, {11,33}, {6,40}, {1,38}, {14,33}, {4,22}, {10,38}, {9,29}, {9,32}, {15,32}, {19,30}, {12,36}, {2,38}, {2,37}, {19,22}, {2,39}, {17,39}, {17,23}, {15,26}, {1,31}, {10,28}, {14,24}, {11,31}, {2,35}, {6,30}, {5,23}, {10,29}, {4,21}, {13,22}, {10,40}, {7,30}, {13,31}, {3,32}, {11,21}, {4,35}, {8,36}, {13,33}, {16,32}, {1,23}, {11,29}, {6,24}, {15,35}, {11,30}, {5,24}, {17,27}, {8,22}, {13,25}, {18,26}, {18,27}, {14,37}, {3,26}, {8,37}, {8,26}, {17,31}, {12,26}, {16,22}, {7,31}, {12,33}, {17,28}, {12,23}, {6,27}, {20,23}, {12,40}, {20,39}, {1,39}, {17,29}, {20,25}, {5,36}, {3,21}, {1,25}, {6,28}, {18,23}, {13,27}, {1,35}, {14,25}, {4,40}, {16,36}, {5,33}, {3,24}, {18,28}, {10,27}, {20,34}, {10,36}, {15,22}, {15,33}, {14,32}, {8,24}, {19,39}, {6,25}, {20,24}, {11,40}, {9,33}, {9,36}, {5,27}, {15,28}, {13,38}, {9,38}, {3,38}, {13,37}, {7,24}, {9,24}, {6,37}, {13,34}, {11,34}, {19,35}, {5,21}, {2,30}, {15,30}, {19,34}, {5,35}, {19,23}, {5,37}, {17,32}, {4,39}, {20,32}, {7,21}, {8,29}, {19,27}, {1,36}, {14,29} }; // ETB40.47 (= ET40.54) // Bipartite(20,20) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT Non-AT // Automorphism group of order 640 EdgesBipt[40][47]:={ {3,33}, {10,25}, {2,24}, {13,32}, {9,28}, {2,33}, {17,35}, {6,32}, {17,36}, {4,27}, {11,35}, {13,40}, {16,33}, {15,24}, {4,26}, {3,40}, {17,38}, {10,37}, {8,30}, {16,40}, {12,22}, {7,38}, {15,31}, {4,29}, {1,27}, {19,24}, {12,38}, {10,23}, {1,40}, {10,33}, {3,35}, {20,21}, {14,31}, {2,26}, {8,39}, {17,24}, {1,21}, {16,25}, {18,21}, {8,25}, {2,28}, {12,34}, {1,30}, {20,30}, {16,29}, {10,22}, {11,28}, {19,28}, {4,38}, {6,21}, {5,40}, {11,33}, {2,36}, {5,22}, {10,38}, {9,29}, {19,40}, {14,36}, {9,32}, {15,32}, {9,26}, {12,36}, {5,29}, {2,38}, {2,37}, {14,30}, {5,25}, {17,39}, {7,32}, {1,22}, {15,27}, {19,38}, {20,33}, {9,34}, {10,21}, {18,30}, {3,32}, {8,36}, {13,33}, {11,30}, {5,24}, {13,23}, {15,37}, {8,22}, {15,34}, {18,26}, {18,27}, {14,37}, {20,22}, {6,23}, {8,26}, {18,31}, {12,26}, {7,31}, {20,29}, {9,40}, {5,31}, {11,24}, {11,39}, {12,40}, {14,34}, {8,23}, {3,23}, {18,25}, {1,39}, {17,29}, {7,29}, {18,23}, {6,28}, {9,30}, {13,27}, {1,35}, {14,25}, {16,21}, {7,28}, {20,37}, {4,37}, {13,26}, {10,35}, {16,36}, {6,36}, {3,30}, {5,33}, {20,26}, {11,37}, {18,28}, {11,27}, {4,34}, {15,22}, {8,24}, {2,31}, {6,34}, {5,27}, {19,25}, {16,39}, {13,38}, {4,25}, {7,27}, {15,23}, {14,35}, {3,31}, {9,24}, {6,39}, {12,31}, {6,37}, {19,35}, {7,35}, {13,39}, {17,22}, {19,34}, {19,23}, {1,34}, {17,32}, {3,36}, {4,39}, {16,28}, {20,32}, {7,21}, {12,21}, {14,29} }; // ETB40.48 (= ET40.59) // Bipartite(10,30) Valencies [9,3] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255941120 EdgesBipt[40][48]:={ {1,15}, {10,19}, {9,13}, {5,32}, {6,12}, {8,31}, {8,24}, {2,38}, {5,35}, {4,40}, {7,38}, {1,25}, {9,12}, {2,37}, {6,32}, {7,31}, {3,30}, {6,40}, {7,15}, {8,34}, {2,28}, {2,18}, {8,14}, {7,11}, {6,22}, {10,23}, {7,28}, {1,34}, {4,20}, {6,11}, {10,36}, {4,39}, {1,36}, {3,13}, {2,16}, {3,40}, {6,21}, {1,16}, {2,36}, {10,13}, {8,21}, {2,17}, {9,34}, {4,28}, {10,39}, {10,16}, {4,29}, {7,25}, {9,23}, {5,19}, {5,15}, {3,23}, {8,17}, {5,29}, {3,27}, {4,30}, {10,33}, {8,11}, {10,29}, {1,35}, {1,26}, {7,35}, {4,38}, {6,31}, {9,33}, {5,22}, {2,27}, {6,30}, {8,27}, {7,18}, {9,24}, {6,20}, {1,14}, {4,18}, {2,26}, {3,20}, {7,21}, {5,12}, {9,14}, {8,37}, {3,17}, {3,37}, {9,32}, {10,26}, {3,33}, {5,39}, {5,25}, {4,19}, {1,24}, {9,22} }; // ETB40.49 (= ET40.60) // Bipartite(16,24) Valencies [9,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[40][49]:={ {11,17}, {10,25}, {11,20}, {13,32}, {9,28}, {6,32}, {4,27}, {14,19}, {16,33}, {15,24}, {4,30}, {16,40}, {5,38}, {4,29}, {1,32}, {8,33}, {12,38}, {2,19}, {1,19}, {2,27}, {14,31}, {7,34}, {16,18}, {16,25}, {7,36}, {12,34}, {5,32}, {16,23}, {9,35}, {4,23}, {8,27}, {12,37}, {16,29}, {3,18}, {11,28}, {6,29}, {3,17}, {16,30}, {6,21}, {3,34}, {2,25}, {11,33}, {6,31}, {6,40}, {1,17}, {2,36}, {5,22}, {4,22}, {14,21}, {14,36}, {9,26}, {9,19}, {14,40}, {7,39}, {2,39}, {2,35}, {1,22}, {10,31}, {3,20}, {13,22}, {10,21}, {2,20}, {10,40}, {3,39}, {13,31}, {11,21}, {7,26}, {2,32}, {1,23}, {11,30}, {5,24}, {9,37}, {13,23}, {12,25}, {8,22}, {15,20}, {13,28}, {15,17}, {3,26}, {16,38}, {8,37}, {15,36}, {5,28}, {16,22}, {12,33}, {12,27}, {1,24}, {12,23}, {13,24}, {6,27}, {5,31}, {11,39}, {8,40}, {12,40}, {12,30}, {10,39}, {1,35}, {14,20}, {1,37}, {15,21}, {14,25}, {7,28}, {4,37}, {11,26}, {15,18}, {10,35}, {13,19}, {6,36}, {3,30}, {8,34}, {3,24}, {2,29}, {10,27}, {8,38}, {1,26}, {4,34}, {9,17}, {14,32}, {15,33}, {5,26}, {8,18}, {15,28}, {4,18}, {13,38}, {9,38}, {10,19}, {4,25}, {7,24}, {10,20}, {6,39}, {7,33}, {11,34}, {13,17}, {15,30}, {5,35}, {9,31}, {5,37}, {6,35}, {3,36}, {9,23}, {7,21}, {8,29}, {14,29}, {7,18} }; // ETB40.50 (= ET40.61) // Bipartite(16,24) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20639121408 EdgesBipt[40][50]:={ {10,19}, {7,19}, {13,25}, {9,40}, {10,21}, {14,25}, {8,24}, {12,26}, {6,18}, {11,23}, {12,39}, {14,34}, {3,29}, {5,30}, {6,36}, {6,17}, {16,30}, {10,27}, {11,29}, {1,40}, {4,40}, {7,38}, {1,25}, {14,18}, {12,40}, {12,31}, {2,37}, {6,25}, {16,40}, {7,27}, {9,19}, {12,18}, {1,32}, {13,38}, {14,20}, {3,31}, {6,34}, {2,19}, {2,18}, {4,26}, {9,17}, {10,18}, {15,28}, {2,29}, {8,22}, {7,28}, {14,33}, {16,21}, {5,33}, {5,23}, {10,34}, {15,22}, {9,27}, {13,33}, {4,39}, {1,17}, {6,33}, {12,34}, {8,21}, {15,36}, {10,37}, {14,28}, {7,20}, {15,20}, {15,35}, {3,23}, {11,39}, {16,29}, {4,31}, {11,28}, {2,34}, {6,26}, {14,26}, {1,19}, {15,19}, {7,30}, {2,35}, {13,30}, {9,25}, {10,29}, {1,35}, {11,37}, {8,40}, {13,22}, {7,35}, {12,24}, {12,23}, {9,33}, {5,22}, {2,27}, {11,36}, {14,36}, {5,38}, {14,17}, {2,21}, {9,35}, {8,38}, {8,32}, {3,28}, {11,31}, {5,31}, {5,17}, {9,24}, {16,22}, {6,20}, {11,21}, {3,21}, {4,32}, {3,39}, {1,27}, {7,22}, {15,27}, {4,18}, {13,23}, {2,26}, {13,17}, {15,38}, {11,20}, {3,20}, {1,33}, {12,32}, {3,36}, {8,37}, {3,37}, {9,32}, {16,38}, {8,30}, {16,37}, {10,26}, {13,31}, {4,34}, {10,35}, {15,30}, {16,32}, {7,36}, {4,23}, {5,39}, {5,25}, {4,24}, {1,24}, {8,29}, {6,28}, {13,39}, {16,24} }; // ETB40.51 (= ET40.62) // Bipartite(20,20) Valencies [9,9] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 5760 EdgesBipt[40][51]:={ {10,25}, {13,32}, {2,33}, {6,32}, {17,36}, {4,27}, {13,21}, {5,34}, {13,40}, {4,24}, {15,24}, {18,29}, {4,26}, {3,22}, {3,40}, {17,38}, {16,27}, {16,40}, {14,39}, {2,23}, {8,28}, {16,31}, {20,27}, {1,32}, {8,33}, {10,23}, {12,38}, {19,24}, {1,40}, {10,26}, {14,38}, {12,39}, {7,22}, {2,27}, {3,35}, {2,26}, {8,39}, {7,34}, {17,24}, {1,21}, {12,35}, {7,36}, {18,21}, {8,25}, {2,28}, {1,30}, {17,40}, {9,35}, {20,30}, {8,27}, {16,29}, {10,22}, {15,25}, {11,28}, {18,37}, {19,28}, {6,21}, {5,40}, {11,33}, {6,31}, {14,33}, {2,34}, {10,38}, {19,40}, {14,36}, {9,27}, {12,36}, {5,29}, {2,38}, {19,22}, {5,25}, {17,23}, {15,26}, {11,22}, {11,31}, {20,31}, {2,35}, {17,33}, {1,22}, {19,38}, {4,33}, {5,23}, {10,29}, {10,21}, {16,37}, {7,30}, {3,39}, {18,30}, {7,26}, {11,29}, {6,24}, {5,30}, {11,30}, {9,37}, {13,23}, {12,25}, {13,28}, {18,26}, {18,27}, {14,37}, {3,29}, {16,38}, {17,31}, {7,31}, {13,30}, {4,36}, {20,29}, {12,27}, {9,40}, {8,32}, {12,23}, {14,22}, {13,24}, {6,26}, {8,40}, {20,23}, {20,39}, {3,23}, {18,25}, {10,32}, {1,39}, {5,36}, {3,21}, {1,25}, {6,28}, {9,30}, {13,27}, {1,37}, {16,34}, {16,21}, {4,37}, {16,36}, {5,33}, {20,26}, {11,37}, {18,28}, {8,38}, {4,34}, {10,34}, {15,22}, {11,32}, {15,33}, {6,38}, {2,31}, {9,33}, {20,36}, {19,25}, {15,28}, {9,39}, {4,25}, {12,24}, {3,28}, {15,23}, {14,35}, {7,24}, {15,39}, {3,31}, {9,24}, {6,39}, {6,37}, {13,34}, {11,34}, {19,35}, {7,35}, {17,22}, {15,30}, {19,34}, {5,35}, {9,31}, {17,32}, {18,35}, {19,37}, {20,32}, {7,21}, {8,29}, {4,32}, {12,21}, {14,29}, {1,36}, {14,26} }; // ETB40.52 (= ET40.65) // Bipartite(15,25) Valencies [10,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 300 EdgesBipt[40][52]:={ {7,19}, {13,25}, {5,32}, {10,21}, {13,29}, {14,25}, {8,39}, {8,24}, {12,26}, {2,38}, {10,22}, {6,18}, {9,30}, {3,29}, {6,36}, {4,27}, {6,17}, {13,18}, {8,36}, {5,35}, {6,23}, {1,40}, {14,19}, {7,38}, {1,25}, {4,16}, {7,33}, {12,31}, {2,37}, {3,32}, {13,34}, {7,31}, {12,33}, {7,27}, {15,40}, {9,21}, {11,16}, {1,32}, {11,22}, {9,37}, {8,34}, {12,25}, {2,18}, {9,17}, {10,18}, {15,32}, {5,21}, {15,28}, {2,29}, {3,19}, {10,30}, {14,27}, {5,37}, {1,29}, {1,34}, {11,34}, {12,30}, {15,39}, {5,33}, {15,34}, {4,20}, {15,22}, {2,31}, {2,23}, {10,36}, {8,33}, {8,28}, {14,16}, {1,17}, {13,26}, {14,30}, {2,32}, {3,40}, {6,21}, {1,16}, {12,34}, {8,21}, {2,17}, {4,33}, {4,28}, {10,39}, {10,31}, {3,22}, {10,37}, {7,20}, {8,35}, {13,35}, {3,23}, {11,39}, {5,29}, {3,27}, {14,26}, {12,28}, {5,28}, {13,30}, {9,25}, {11,26}, {13,40}, {8,40}, {6,29}, {12,24}, {15,26}, {4,38}, {9,33}, {12,38}, {2,27}, {6,19}, {11,36}, {5,38}, {14,17}, {3,35}, {15,31}, {1,23}, {14,22}, {11,19}, {14,31}, {14,23}, {9,24}, {11,25}, {8,20}, {6,16}, {6,20}, {9,18}, {4,32}, {3,39}, {7,22}, {15,27}, {7,37}, {13,17}, {15,38}, {7,21}, {11,20}, {1,28}, {3,36}, {6,35}, {5,18}, {10,26}, {10,35}, {9,16}, {7,36}, {4,23}, {11,24}, {12,37}, {2,30}, {4,19}, {4,24}, {5,40}, {9,20}, {1,24}, {13,39} }; // ETB40.53 (= ET40.66) // Bipartite(15,25) Valencies [10,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1934917632000000 EdgesBipt[40][53]:={ {4,35}, {10,19}, {5,32}, {6,39}, {9,40}, {14,25}, {8,31}, {10,22}, {9,30}, {2,22}, {3,38}, {6,36}, {1,31}, {7,40}, {13,18}, {10,27}, {8,36}, {11,29}, {2,20}, {4,40}, {5,34}, {14,18}, {12,17}, {12,40}, {2,37}, {12,22}, {5,24}, {7,27}, {11,16}, {12,27}, {14,35}, {13,38}, {15,29}, {14,20}, {12,25}, {3,31}, {6,34}, {15,32}, {5,37}, {1,29}, {3,18}, {1,34}, {11,34}, {12,30}, {13,16}, {14,33}, {15,39}, {9,38}, {15,34}, {4,20}, {10,34}, {15,22}, {13,33}, {8,33}, {8,28}, {1,36}, {13,26}, {14,30}, {2,32}, {1,16}, {6,21}, {8,21}, {8,18}, {2,17}, {4,33}, {4,28}, {10,39}, {7,25}, {10,37}, {14,28}, {5,19}, {9,23}, {10,24}, {7,20}, {8,26}, {14,38}, {3,23}, {11,39}, {5,29}, {4,30}, {6,26}, {1,19}, {2,40}, {15,19}, {7,30}, {2,35}, {12,35}, {9,25}, {4,25}, {10,29}, {1,26}, {11,26}, {6,29}, {7,35}, {4,38}, {6,31}, {9,33}, {5,22}, {2,27}, {6,19}, {11,36}, {5,27}, {9,35}, {11,19}, {1,39}, {8,38}, {14,23}, {9,28}, {3,28}, {11,31}, {3,26}, {8,16}, {5,17}, {15,37}, {13,28}, {8,23}, {6,16}, {11,21}, {3,21}, {9,18}, {10,17}, {13,21}, {7,22}, {15,27}, {3,16}, {4,18}, {7,32}, {13,23}, {10,32}, {13,36}, {7,37}, {15,17}, {2,25}, {12,32}, {14,40}, {3,36}, {6,24}, {13,31}, {3,33}, {7,17}, {4,23}, {11,24}, {5,39}, {12,37}, {2,30}, {1,21}, {12,20}, {15,24}, {9,20}, {1,24} }; // ETB40.54 (= ET40.67) // Bipartite(20,20) Valencies [10,10] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 687970713600000000 EdgesBipt[40][54]:={ {10,24}, {2,24}, {6,32}, {11,36}, {4,27}, {12,29}, {13,21}, {11,35}, {5,34}, {16,33}, {15,24}, {3,40}, {17,38}, {18,32}, {16,27}, {5,38}, {16,31}, {18,38}, {15,31}, {4,29}, {20,27}, {8,33}, {19,24}, {10,26}, {17,34}, {14,38}, {12,39}, {4,31}, {3,35}, {20,21}, {2,26}, {8,39}, {1,21}, {16,25}, {12,35}, {7,36}, {17,21}, {8,25}, {2,28}, {1,30}, {16,23}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {12,37}, {16,29}, {18,34}, {10,22}, {6,22}, {11,28}, {10,30}, {19,28}, {6,40}, {1,38}, {2,34}, {2,36}, {5,22}, {10,38}, {9,29}, {19,40}, {17,37}, {14,36}, {15,32}, {9,26}, {15,40}, {5,29}, {2,38}, {14,30}, {14,40}, {7,39}, {5,25}, {7,32}, {10,28}, {14,24}, {11,31}, {20,31}, {17,33}, {1,22}, {15,27}, {20,33}, {6,30}, {4,33}, {4,21}, {9,34}, {13,22}, {16,37}, {10,40}, {1,29}, {3,39}, {18,30}, {3,32}, {4,35}, {9,25}, {13,33}, {2,32}, {11,23}, {6,24}, {5,30}, {17,30}, {15,35}, {9,37}, {12,25}, {13,25}, {18,24}, {8,35}, {18,26}, {19,31}, {3,27}, {18,36}, {1,33}, {8,37}, {15,36}, {9,22}, {7,31}, {12,33}, {13,30}, {20,29}, {12,27}, {8,21}, {12,23}, {14,22}, {11,24}, {17,25}, {11,39}, {6,26}, {20,23}, {20,39}, {14,34}, {8,23}, {3,23}, {10,32}, {17,29}, {20,25}, {1,25}, {19,36}, {6,28}, {9,30}, {1,37}, {16,21}, {20,35}, {7,28}, {19,32}, {20,37}, {4,37}, {13,26}, {7,23}, {6,36}, {5,33}, {3,24}, {16,35}, {11,27}, {18,28}, {1,26}, {2,22}, {10,36}, {10,34}, {18,22}, {11,32}, {14,32}, {19,39}, {6,38}, {2,40}, {11,40}, {9,33}, {6,34}, {5,26}, {15,28}, {16,39}, {13,38}, {9,38}, {4,25}, {3,28}, {7,27}, {15,23}, {13,37}, {7,24}, {15,39}, {3,31}, {18,40}, {17,26}, {12,31}, {13,34}, {19,35}, {7,35}, {17,22}, {5,21}, {2,30}, {1,34}, {19,23}, {5,37}, {9,21}, {3,36}, {4,39}, {7,40}, {8,29}, {19,27}, {12,21}, {14,26} }; // ETB40.55 (= ET40.68) // Bipartite(8,32) Valencies [12,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[40][55]:={ {7,19}, {5,32}, {7,39}, {6,12}, {8,24}, {2,38}, {1,11}, {2,22}, {8,36}, {5,35}, {6,23}, {1,40}, {4,40}, {7,38}, {4,16}, {1,9}, {6,32}, {7,15}, {5,13}, {3,10}, {3,34}, {3,31}, {2,19}, {8,14}, {6,22}, {5,21}, {1,29}, {7,28}, {1,34}, {2,14}, {5,23}, {3,11}, {4,37}, {2,10}, {8,33}, {6,33}, {8,10}, {8,18}, {8,21}, {7,29}, {3,9}, {7,25}, {7,20}, {5,29}, {4,30}, {6,26}, {6,15}, {8,11}, {2,40}, {4,17}, {5,28}, {4,15}, {2,9}, {1,35}, {4,38}, {6,31}, {2,27}, {6,19}, {3,35}, {8,27}, {1,39}, {2,39}, {4,22}, {8,32}, {3,28}, {5,36}, {3,26}, {8,16}, {5,17}, {5,31}, {6,20}, {1,14}, {1,37}, {1,13}, {4,18}, {3,25}, {2,26}, {7,37}, {3,20}, {5,12}, {2,25}, {3,36}, {6,24}, {8,30}, {6,27}, {7,34}, {3,33}, {7,17}, {4,23}, {7,12}, {5,16}, {4,13}, {1,21}, {2,30}, {1,18}, {4,24} }; // ETB40.56 (= ET40.69) // Bipartite(8,32) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5283615080448 EdgesBipt[40][56]:={ {7,19}, {6,12}, {5,14}, {3,15}, {8,24}, {6,10}, {6,18}, {1,11}, {3,29}, {5,30}, {6,36}, {6,17}, {2,11}, {1,40}, {4,40}, {7,38}, {1,25}, {4,16}, {2,37}, {1,9}, {6,25}, {7,27}, {1,32}, {3,31}, {6,34}, {2,19}, {2,18}, {6,9}, {8,14}, {4,26}, {8,13}, {7,11}, {5,9}, {2,29}, {8,22}, {7,28}, {5,33}, {5,23}, {2,10}, {4,39}, {1,17}, {3,13}, {6,33}, {1,16}, {8,21}, {2,13}, {5,15}, {7,20}, {3,23}, {7,14}, {4,31}, {2,34}, {6,26}, {1,19}, {7,30}, {2,35}, {4,15}, {1,35}, {8,40}, {7,35}, {5,22}, {2,27}, {5,38}, {2,21}, {8,38}, {8,32}, {3,28}, {8,16}, {5,17}, {5,31}, {3,12}, {6,20}, {3,21}, {4,32}, {3,39}, {1,27}, {7,22}, {4,18}, {2,26}, {3,20}, {1,33}, {3,36}, {8,37}, {3,37}, {8,30}, {4,34}, {7,36}, {4,23}, {7,12}, {5,39}, {5,25}, {4,10}, {4,24}, {1,24}, {8,29}, {6,28} }; // ETB40.57 (= ET40.70) // Bipartite(10,30) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[40][57]:={ {10,19}, {7,19}, {5,32}, {7,39}, {9,40}, {5,14}, {3,15}, {8,31}, {10,22}, {6,18}, {4,14}, {1,11}, {9,30}, {3,29}, {6,14}, {5,30}, {6,17}, {10,27}, {2,11}, {5,34}, {7,38}, {1,25}, {4,16}, {5,24}, {10,40}, {1,38}, {2,33}, {7,31}, {5,13}, {8,34}, {2,28}, {9,31}, {5,26}, {9,17}, {6,22}, {5,21}, {10,23}, {2,29}, {5,37}, {4,12}, {3,18}, {5,33}, {4,37}, {9,27}, {8,33}, {8,28}, {4,39}, {10,25}, {2,32}, {3,40}, {6,21}, {1,16}, {2,36}, {8,21}, {10,39}, {2,13}, {10,31}, {1,12}, {10,16}, {3,22}, {9,23}, {5,15}, {7,20}, {8,35}, {8,26}, {8,17}, {7,14}, {3,27}, {6,26}, {6,15}, {1,19}, {2,40}, {4,36}, {4,15}, {1,35}, {6,29}, {7,35}, {4,38}, {2,24}, {1,23}, {6,30}, {7,18}, {8,38}, {2,12}, {8,32}, {9,28}, {5,36}, {3,24}, {3,12}, {8,23}, {6,20}, {9,26}, {3,39}, {1,37}, {9,11}, {7,22}, {3,16}, {1,13}, {4,18}, {3,25}, {9,29}, {7,21}, {1,33}, {2,25}, {1,28}, {3,36}, {8,37}, {10,20}, {6,24}, {9,32}, {4,34}, {6,27}, {10,35}, {7,34}, {7,17}, {4,13}, {2,30}, {10,11}, {4,19}, {9,20} }; // ETB40.58 (= ET40.71) // Bipartite(10,30) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[40][58]:={ {1,15}, {9,13}, {10,19}, {7,19}, {5,32}, {10,21}, {8,39}, {8,24}, {8,31}, {6,18}, {4,14}, {3,29}, {3,38}, {5,30}, {1,31}, {7,40}, {10,27}, {2,11}, {5,35}, {6,23}, {2,20}, {4,40}, {5,34}, {7,38}, {9,12}, {7,33}, {2,37}, {7,31}, {6,25}, {7,27}, {1,32}, {5,13}, {6,34}, {2,18}, {5,26}, {9,17}, {7,11}, {6,22}, {10,23}, {2,29}, {3,19}, {4,12}, {8,22}, {3,11}, {4,20}, {10,34}, {2,31}, {2,23}, {8,28}, {4,39}, {1,36}, {3,13}, {10,25}, {2,16}, {10,12}, {1,16}, {4,33}, {4,28}, {3,14}, {10,16}, {5,15}, {8,35}, {8,26}, {6,37}, {5,29}, {6,15}, {7,30}, {4,21}, {9,25}, {9,15}, {10,29}, {8,19}, {8,40}, {4,38}, {9,33}, {3,35}, {2,21}, {6,30}, {6,38}, {2,39}, {5,20}, {8,32}, {10,14}, {5,36}, {3,24}, {5,17}, {9,24}, {8,23}, {9,26}, {1,14}, {9,18}, {10,17}, {3,39}, {1,37}, {1,20}, {1,27}, {9,11}, {7,22}, {4,18}, {3,25}, {2,26}, {10,32}, {7,21}, {1,33}, {1,28}, {3,36}, {3,37}, {6,35}, {4,34}, {6,27}, {9,16}, {7,36}, {7,17}, {4,13}, {2,30}, {5,40}, {8,12}, {1,24}, {6,28}, {9,22} }; // ETB40.59 (= ET40.72) // Bipartite(10,30) Valencies [12,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 61917364224000000 EdgesBipt[40][59]:={ {4,35}, {9,13}, {10,19}, {5,32}, {6,39}, {9,40}, {5,14}, {8,31}, {10,22}, {1,11}, {9,30}, {2,22}, {6,14}, {3,38}, {6,36}, {1,31}, {7,40}, {10,27}, {8,36}, {2,20}, {4,40}, {5,34}, {2,37}, {5,24}, {7,27}, {7,15}, {3,31}, {6,34}, {2,15}, {8,13}, {5,37}, {1,29}, {3,18}, {1,34}, {9,38}, {3,11}, {4,20}, {10,34}, {6,11}, {8,33}, {8,28}, {1,36}, {3,13}, {10,12}, {2,32}, {1,16}, {6,21}, {4,33}, {2,17}, {8,18}, {8,21}, {4,28}, {10,39}, {7,25}, {10,37}, {5,19}, {9,23}, {10,24}, {7,20}, {8,26}, {3,23}, {5,29}, {4,30}, {6,26}, {1,19}, {8,11}, {2,40}, {7,30}, {2,35}, {9,25}, {4,15}, {4,25}, {9,15}, {10,29}, {1,26}, {6,29}, {7,35}, {4,38}, {6,31}, {9,33}, {5,22}, {2,27}, {6,19}, {5,27}, {9,35}, {1,39}, {8,38}, {2,12}, {9,28}, {10,14}, {3,28}, {3,26}, {8,16}, {5,17}, {8,23}, {6,16}, {3,21}, {1,14}, {9,18}, {10,17}, {7,22}, {3,16}, {4,18}, {7,32}, {10,32}, {7,37}, {5,12}, {2,25}, {3,36}, {6,24}, {3,33}, {7,17}, {4,23}, {7,12}, {5,39}, {4,13}, {1,21}, {2,30}, {9,20}, {1,24} }; // ETB40.60 (= ET40.73) // Bipartite(10,30) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23219011584000000 EdgesBipt[40][60]:={ {7,19}, {6,39}, {7,39}, {9,40}, {5,14}, {8,31}, {6,18}, {1,11}, {9,30}, {2,22}, {6,14}, {3,38}, {5,30}, {1,31}, {8,36}, {5,35}, {7,24}, {6,23}, {10,38}, {2,20}, {5,34}, {4,16}, {6,13}, {2,37}, {5,24}, {3,32}, {10,40}, {7,27}, {9,21}, {9,31}, {6,34}, {2,15}, {4,26}, {10,18}, {10,23}, {10,30}, {1,29}, {3,18}, {8,22}, {1,34}, {1,36}, {3,13}, {10,25}, {2,32}, {6,33}, {1,16}, {10,13}, {8,21}, {2,17}, {4,33}, {4,28}, {7,29}, {10,15}, {3,22}, {5,19}, {5,15}, {8,26}, {3,23}, {8,17}, {5,29}, {7,14}, {4,31}, {3,27}, {10,33}, {1,19}, {8,11}, {2,40}, {4,36}, {4,21}, {2,35}, {9,25}, {9,15}, {1,26}, {6,29}, {4,38}, {4,11}, {2,27}, {6,19}, {8,27}, {9,35}, {10,28}, {1,39}, {6,38}, {2,12}, {5,20}, {8,32}, {3,28}, {8,16}, {3,12}, {9,26}, {1,14}, {9,11}, {7,22}, {4,18}, {7,32}, {7,37}, {2,25}, {3,17}, {8,37}, {10,20}, {3,37}, {6,24}, {9,36}, {10,35}, {9,16}, {7,34}, {3,33}, {7,17}, {4,23}, {7,12}, {5,39}, {4,13}, {1,21}, {2,30}, {5,25}, {5,40}, {8,12}, {9,20}, {1,24}, {6,28} }; // ETB40.61 (= ET40.74) // Bipartite(10,30) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 232190115840 EdgesBipt[40][61]:={ {4,35}, {10,19}, {5,32}, {6,39}, {8,24}, {2,38}, {10,22}, {6,18}, {1,11}, {2,22}, {6,14}, {5,30}, {1,31}, {4,27}, {8,36}, {5,35}, {7,38}, {4,16}, {7,33}, {2,37}, {10,40}, {1,38}, {2,33}, {7,27}, {9,21}, {3,30}, {9,37}, {7,23}, {8,34}, {2,28}, {3,34}, {9,31}, {6,34}, {2,18}, {8,14}, {4,26}, {8,13}, {9,17}, {10,30}, {1,29}, {7,28}, {1,34}, {4,37}, {6,11}, {9,27}, {2,23}, {8,33}, {3,13}, {10,25}, {10,12}, {2,32}, {3,40}, {6,21}, {2,17}, {10,39}, {3,14}, {2,13}, {10,15}, {5,19}, {5,15}, {8,26}, {7,13}, {3,23}, {5,29}, {4,31}, {1,19}, {4,36}, {4,21}, {4,17}, {9,25}, {4,15}, {4,25}, {9,15}, {10,29}, {8,40}, {6,29}, {6,31}, {4,11}, {5,22}, {2,27}, {6,19}, {9,35}, {1,39}, {6,38}, {7,18}, {2,12}, {5,20}, {3,26}, {8,16}, {3,24}, {8,20}, {8,23}, {9,26}, {1,14}, {9,11}, {7,22}, {3,16}, {7,32}, {10,32}, {7,37}, {3,20}, {5,12}, {1,28}, {3,36}, {10,20}, {6,24}, {8,30}, {9,36}, {10,35}, {9,16}, {3,33}, {7,17}, {7,12}, {5,39}, {1,21}, {1,18}, {5,25}, {5,40}, {1,24}, {6,28} }; // ETB40.62 (= ET40.75) // Bipartite(10,30) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2418647040 EdgesBipt[40][62]:={ {5,14}, {8,31}, {8,24}, {2,38}, {10,22}, {1,11}, {3,29}, {2,22}, {6,14}, {1,31}, {2,11}, {7,24}, {6,23}, {1,40}, {4,40}, {5,34}, {7,38}, {6,13}, {5,24}, {1,38}, {9,39}, {7,27}, {9,19}, {3,30}, {6,40}, {7,15}, {8,34}, {5,13}, {2,28}, {6,34}, {2,19}, {2,18}, {5,26}, {8,14}, {10,23}, {2,29}, {3,19}, {5,37}, {4,12}, {8,22}, {8,15}, {7,28}, {9,38}, {5,33}, {5,23}, {4,20}, {6,11}, {2,31}, {10,36}, {4,39}, {1,17}, {10,25}, {10,12}, {2,32}, {6,33}, {3,40}, {6,21}, {10,13}, {8,21}, {4,33}, {10,15}, {4,29}, {10,16}, {7,25}, {8,35}, {7,14}, {3,27}, {4,30}, {10,33}, {8,11}, {9,25}, {9,15}, {7,35}, {6,31}, {2,21}, {5,27}, {6,30}, {9,35}, {7,18}, {2,39}, {2,12}, {4,22}, {8,32}, {9,28}, {5,36}, {3,26}, {5,17}, {6,20}, {9,26}, {9,18}, {4,32}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {8,25}, {9,29}, {10,32}, {7,37}, {3,20}, {1,28}, {3,36}, {3,17}, {3,37}, {6,24}, {9,36}, {10,26}, {10,35}, {9,16}, {7,34}, {7,17}, {4,23}, {1,30}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {8,12} }; // ETB40.63 (= ET40.76) // Bipartite(10,30) Valencies [12,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[40][63]:={ {4,35}, {5,32}, {5,14}, {2,38}, {10,22}, {6,18}, {1,11}, {5,30}, {1,31}, {8,36}, {6,23}, {1,40}, {2,20}, {4,40}, {5,34}, {1,25}, {6,13}, {9,12}, {7,33}, {7,31}, {6,25}, {7,27}, {9,19}, {9,21}, {6,40}, {7,15}, {5,13}, {2,28}, {3,34}, {3,31}, {5,26}, {10,18}, {7,11}, {6,22}, {3,19}, {1,29}, {8,22}, {8,15}, {9,38}, {4,20}, {6,11}, {9,27}, {2,31}, {2,23}, {7,26}, {4,39}, {1,36}, {3,13}, {2,16}, {2,32}, {6,33}, {1,16}, {2,36}, {2,17}, {8,21}, {9,34}, {10,39}, {2,13}, {3,22}, {10,37}, {5,19}, {9,23}, {10,24}, {5,15}, {7,20}, {6,37}, {8,17}, {5,29}, {3,27}, {4,30}, {6,26}, {10,33}, {7,30}, {2,35}, {5,28}, {4,15}, {4,25}, {10,29}, {1,26}, {8,40}, {7,35}, {4,38}, {9,33}, {2,21}, {8,27}, {1,39}, {6,38}, {7,18}, {8,32}, {10,14}, {3,28}, {3,24}, {5,17}, {3,12}, {7,16}, {1,14}, {9,18}, {10,17}, {3,39}, {5,11}, {3,16}, {8,25}, {9,29}, {10,32}, {9,14}, {8,37}, {10,20}, {3,37}, {8,30}, {9,36}, {4,34}, {10,35}, {4,23}, {7,12}, {1,21}, {4,19}, {4,24}, {8,12}, {1,24}, {6,28} }; // ETB40.64 (= ET40.77) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 9216 EdgesBipt[40][64]:={ {10,24}, {11,20}, {9,28}, {12,29}, {13,21}, {13,40}, {15,24}, {16,26}, {16,33}, {3,40}, {11,25}, {16,27}, {14,39}, {2,23}, {12,22}, {5,38}, {16,31}, {4,29}, {1,32}, {1,27}, {3,25}, {10,23}, {12,38}, {10,26}, {14,38}, {16,19}, {4,31}, {2,19}, {2,27}, {3,35}, {5,20}, {13,35}, {2,26}, {8,39}, {8,25}, {12,34}, {1,30}, {5,32}, {16,23}, {9,35}, {4,23}, {8,31}, {8,27}, {12,37}, {16,29}, {6,22}, {11,28}, {3,17}, {15,29}, {14,23}, {11,33}, {6,31}, {6,40}, {1,38}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {7,20}, {9,32}, {14,36}, {12,17}, {15,32}, {9,27}, {12,20}, {5,29}, {2,37}, {14,30}, {14,40}, {7,39}, {5,25}, {7,32}, {15,26}, {1,31}, {2,35}, {15,27}, {6,30}, {4,33}, {5,23}, {10,29}, {4,21}, {10,31}, {3,20}, {13,22}, {10,21}, {2,20}, {13,18}, {16,37}, {10,40}, {7,30}, {8,17}, {3,39}, {13,31}, {11,21}, {9,25}, {8,36}, {7,26}, {13,33}, {5,18}, {11,23}, {6,24}, {7,17}, {11,30}, {5,24}, {9,37}, {15,34}, {13,25}, {15,20}, {14,37}, {4,28}, {1,33}, {15,17}, {3,29}, {6,23}, {16,38}, {8,37}, {15,36}, {12,26}, {9,22}, {12,33}, {13,30}, {8,21}, {3,19}, {1,24}, {14,18}, {11,24}, {13,24}, {11,39}, {12,19}, {6,26}, {12,40}, {14,34}, {1,39}, {10,32}, {6,19}, {6,28}, {9,30}, {10,39}, {14,20}, {15,21}, {14,25}, {7,28}, {4,37}, {4,40}, {10,35}, {13,19}, {6,36}, {2,21}, {8,34}, {5,33}, {3,24}, {11,27}, {16,35}, {1,26}, {2,22}, {4,34}, {10,36}, {15,22}, {9,17}, {10,18}, {14,32}, {6,38}, {9,36}, {6,34}, {5,27}, {8,18}, {15,28}, {16,39}, {9,38}, {11,19}, {4,25}, {3,38}, {3,28}, {7,33}, {11,34}, {7,35}, {2,30}, {13,17}, {7,37}, {5,35}, {2,18}, {9,31}, {1,34}, {3,36}, {16,28}, {7,40}, {7,21}, {8,29}, {4,32}, {12,18} }; // ETB40.65 (= ET40.78) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 9216 EdgesBipt[40][65]:={ {11,17}, {3,33}, {10,25}, {2,24}, {6,32}, {11,36}, {13,21}, {11,35}, {4,24}, {14,19}, {15,24}, {16,33}, {4,26}, {3,22}, {3,40}, {10,37}, {11,25}, {8,30}, {16,40}, {14,39}, {2,23}, {12,22}, {5,38}, {12,32}, {7,38}, {8,33}, {1,27}, {10,23}, {1,40}, {10,26}, {12,39}, {4,31}, {2,19}, {1,19}, {13,35}, {2,26}, {14,31}, {7,34}, {16,25}, {12,35}, {7,36}, {8,25}, {1,30}, {14,28}, {13,29}, {6,22}, {3,18}, {11,28}, {10,30}, {3,17}, {16,30}, {4,38}, {2,25}, {14,23}, {11,33}, {6,31}, {1,38}, {2,34}, {1,17}, {10,38}, {9,29}, {14,36}, {15,32}, {9,27}, {12,36}, {5,29}, {14,40}, {2,39}, {7,32}, {15,26}, {11,22}, {7,25}, {11,31}, {10,28}, {15,27}, {4,33}, {5,23}, {3,20}, {9,34}, {2,20}, {13,18}, {1,29}, {8,17}, {13,31}, {3,32}, {11,21}, {4,35}, {5,18}, {16,32}, {11,29}, {5,30}, {7,17}, {9,37}, {15,37}, {8,22}, {15,34}, {8,35}, {9,20}, {1,28}, {3,27}, {14,37}, {15,17}, {16,38}, {8,37}, {5,28}, {15,36}, {7,31}, {4,36}, {12,27}, {9,40}, {14,18}, {14,22}, {13,24}, {6,27}, {12,19}, {8,40}, {6,26}, {12,40}, {12,30}, {3,23}, {10,32}, {5,36}, {3,21}, {6,19}, {6,28}, {13,27}, {1,35}, {1,37}, {16,34}, {5,39}, {14,25}, {16,21}, {4,37}, {11,26}, {13,26}, {7,23}, {13,19}, {2,21}, {5,33}, {10,17}, {2,29}, {16,35}, {2,22}, {15,22}, {10,18}, {15,33}, {16,20}, {8,24}, {9,33}, {6,34}, {5,27}, {5,26}, {8,18}, {4,18}, {16,39}, {9,39}, {13,38}, {9,38}, {10,19}, {4,25}, {12,24}, {8,20}, {3,28}, {15,23}, {7,24}, {3,31}, {9,24}, {10,20}, {6,39}, {6,37}, {11,34}, {6,20}, {5,21}, {2,30}, {13,17}, {15,30}, {13,20}, {9,31}, {1,34}, {7,19}, {6,35}, {4,39}, {16,28}, {7,40}, {9,23}, {7,21}, {8,29}, {4,32}, {12,18}, {12,21}, {1,36}, {14,29} }; // ETB40.66 (= ET40.79) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[40][66]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {11,35}, {13,40}, {4,24}, {15,24}, {16,33}, {3,22}, {3,40}, {4,30}, {16,40}, {14,39}, {2,23}, {5,38}, {8,28}, {16,31}, {4,29}, {1,27}, {3,25}, {10,23}, {12,38}, {1,40}, {4,19}, {14,38}, {16,19}, {12,39}, {10,33}, {1,19}, {3,37}, {13,35}, {1,21}, {2,28}, {1,30}, {5,32}, {16,23}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {15,25}, {3,17}, {15,29}, {6,21}, {14,23}, {5,40}, {2,34}, {14,33}, {1,17}, {2,36}, {5,22}, {9,29}, {14,21}, {9,32}, {9,26}, {9,27}, {12,20}, {12,36}, {5,29}, {2,38}, {7,39}, {5,25}, {7,32}, {15,26}, {11,22}, {7,25}, {11,31}, {10,28}, {14,24}, {2,35}, {15,27}, {6,30}, {4,33}, {5,23}, {10,31}, {3,20}, {9,34}, {13,22}, {10,21}, {13,18}, {16,37}, {10,40}, {7,30}, {13,31}, {4,35}, {8,36}, {6,33}, {2,32}, {7,26}, {5,18}, {16,32}, {11,29}, {6,24}, {7,17}, {11,30}, {9,37}, {12,28}, {12,25}, {8,22}, {13,25}, {8,35}, {15,20}, {3,27}, {14,37}, {1,33}, {3,26}, {8,37}, {5,28}, {13,36}, {15,36}, {12,26}, {9,22}, {12,33}, {13,30}, {4,36}, {14,17}, {8,21}, {12,23}, {5,31}, {6,27}, {14,34}, {1,39}, {3,21}, {1,25}, {6,19}, {7,29}, {9,30}, {13,27}, {1,37}, {16,34}, {16,17}, {16,21}, {15,18}, {10,35}, {7,23}, {13,19}, {6,36}, {8,34}, {11,37}, {2,29}, {11,27}, {16,35}, {8,38}, {1,26}, {2,22}, {4,34}, {10,36}, {15,22}, {11,32}, {9,17}, {10,18}, {14,32}, {8,24}, {2,31}, {11,40}, {6,34}, {15,38}, {5,26}, {4,18}, {9,39}, {9,38}, {11,19}, {10,19}, {3,38}, {12,24}, {8,20}, {3,28}, {3,31}, {15,39}, {9,24}, {10,20}, {6,39}, {7,33}, {6,37}, {11,34}, {6,20}, {15,30}, {13,20}, {2,18}, {7,19}, {6,35}, {4,39}, {16,28}, {7,40}, {4,32}, {12,18}, {12,21}, {14,26}, {7,18} }; // ETB40.67 (= ET40.80) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 713288035860480000 EdgesBipt[40][67]:={ {10,25}, {1,20}, {5,17}, {11,20}, {13,32}, {9,28}, {2,33}, {11,36}, {4,27}, {13,21}, {11,35}, {13,40}, {15,24}, {16,26}, {4,26}, {3,40}, {10,37}, {4,30}, {16,27}, {8,30}, {6,17}, {12,22}, {16,31}, {15,31}, {1,32}, {12,38}, {1,40}, {10,26}, {4,19}, {14,38}, {16,19}, {12,39}, {4,31}, {10,33}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {16,18}, {12,35}, {7,36}, {12,34}, {5,32}, {16,23}, {4,23}, {8,31}, {8,27}, {13,29}, {10,22}, {6,22}, {11,28}, {10,30}, {6,29}, {16,30}, {4,38}, {6,21}, {2,25}, {5,40}, {2,34}, {14,33}, {1,17}, {4,22}, {10,38}, {9,29}, {8,19}, {7,20}, {14,21}, {9,32}, {15,32}, {15,40}, {5,29}, {2,38}, {2,37}, {14,30}, {7,39}, {5,25}, {7,32}, {11,31}, {15,27}, {6,30}, {10,29}, {3,20}, {15,19}, {10,21}, {6,18}, {1,29}, {3,39}, {3,32}, {4,35}, {9,25}, {13,33}, {6,33}, {11,23}, {15,35}, {5,24}, {9,37}, {8,22}, {13,25}, {8,35}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {14,37}, {1,33}, {16,38}, {5,28}, {13,36}, {15,36}, {8,26}, {12,26}, {16,22}, {7,31}, {2,17}, {12,27}, {9,40}, {14,17}, {3,19}, {14,18}, {1,24}, {12,23}, {14,22}, {13,24}, {11,24}, {11,39}, {12,19}, {6,26}, {12,30}, {3,23}, {8,23}, {14,34}, {5,36}, {1,25}, {1,37}, {16,34}, {14,25}, {7,28}, {7,23}, {2,21}, {8,34}, {5,33}, {10,17}, {3,24}, {2,29}, {11,27}, {16,35}, {8,38}, {2,22}, {4,34}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {6,38}, {11,40}, {9,33}, {9,36}, {6,34}, {8,18}, {4,18}, {15,28}, {16,39}, {11,19}, {3,28}, {7,27}, {15,23}, {13,37}, {7,24}, {3,31}, {15,39}, {9,24}, {12,31}, {6,37}, {7,35}, {5,21}, {2,30}, {13,17}, {13,20}, {2,18}, {5,37}, {7,19}, {9,21}, {3,36}, {4,39}, {7,40}, {12,18}, {1,36}, {14,29}, {14,26} }; // ETB40.68 (= ET40.81) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1521681143169024 EdgesBipt[40][68]:={ {3,33}, {10,24}, {5,17}, {2,24}, {9,28}, {6,32}, {11,36}, {4,27}, {5,34}, {13,40}, {15,24}, {16,26}, {16,33}, {4,26}, {11,25}, {16,27}, {16,40}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {15,31}, {8,33}, {3,25}, {10,23}, {12,38}, {1,40}, {10,26}, {14,38}, {12,39}, {1,19}, {3,37}, {13,35}, {2,26}, {8,39}, {7,36}, {12,34}, {9,35}, {8,27}, {13,29}, {15,25}, {3,18}, {10,30}, {6,29}, {4,38}, {5,40}, {14,23}, {11,33}, {1,17}, {2,36}, {5,22}, {4,22}, {10,38}, {9,29}, {14,36}, {12,20}, {5,29}, {2,38}, {9,19}, {14,30}, {7,39}, {5,25}, {1,31}, {7,25}, {11,31}, {14,24}, {2,35}, {1,22}, {15,27}, {6,30}, {4,33}, {5,23}, {10,29}, {4,21}, {9,34}, {13,22}, {15,19}, {2,20}, {6,18}, {1,29}, {7,30}, {3,39}, {13,31}, {11,21}, {9,25}, {2,32}, {16,32}, {1,23}, {6,24}, {11,30}, {9,37}, {13,23}, {12,28}, {15,37}, {8,22}, {13,25}, {13,28}, {1,28}, {3,27}, {4,28}, {6,23}, {16,38}, {5,28}, {15,36}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {12,33}, {2,17}, {12,27}, {9,40}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {5,31}, {11,24}, {11,39}, {6,26}, {8,40}, {12,40}, {10,32}, {3,21}, {1,25}, {1,35}, {1,37}, {14,20}, {15,21}, {16,34}, {16,21}, {15,18}, {4,40}, {10,35}, {13,19}, {6,36}, {3,30}, {8,34}, {10,17}, {11,37}, {3,24}, {2,29}, {11,27}, {8,38}, {4,34}, {10,36}, {9,17}, {10,18}, {14,32}, {15,33}, {16,20}, {6,38}, {16,39}, {11,19}, {4,20}, {8,20}, {7,27}, {14,35}, {13,37}, {7,24}, {3,31}, {15,39}, {10,20}, {7,33}, {13,34}, {5,19}, {6,20}, {2,30}, {13,17}, {15,30}, {7,37}, {5,35}, {2,18}, {9,31}, {1,34}, {5,37}, {7,19}, {6,35}, {3,36}, {4,39}, {16,28}, {9,23}, {7,21}, {4,32}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB40.69 (= ET40.82) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2348273369088 EdgesBipt[40][69]:={ {11,17}, {13,32}, {2,33}, {6,32}, {11,36}, {12,29}, {13,21}, {11,35}, {4,24}, {14,19}, {16,26}, {4,30}, {11,25}, {8,30}, {16,40}, {2,23}, {12,22}, {5,38}, {7,38}, {8,28}, {4,29}, {1,27}, {3,25}, {10,23}, {14,38}, {7,22}, {10,33}, {2,27}, {1,19}, {3,35}, {5,20}, {3,37}, {14,31}, {7,34}, {1,21}, {16,18}, {12,35}, {2,28}, {12,34}, {5,32}, {9,35}, {4,23}, {10,22}, {3,18}, {3,17}, {16,30}, {6,31}, {2,34}, {1,17}, {4,22}, {9,29}, {7,20}, {14,36}, {12,17}, {15,32}, {16,24}, {9,27}, {12,36}, {15,40}, {9,19}, {14,30}, {7,39}, {5,25}, {2,39}, {7,32}, {15,26}, {1,31}, {10,28}, {11,31}, {14,24}, {2,35}, {15,27}, {6,30}, {10,29}, {10,21}, {6,18}, {10,40}, {1,29}, {13,31}, {4,35}, {9,25}, {8,36}, {7,26}, {13,33}, {16,32}, {11,23}, {1,23}, {11,29}, {6,24}, {11,30}, {9,37}, {12,28}, {8,22}, {15,34}, {13,25}, {15,20}, {14,37}, {4,28}, {1,33}, {3,29}, {16,38}, {8,26}, {16,22}, {2,17}, {4,36}, {8,32}, {3,19}, {14,18}, {12,23}, {5,31}, {11,24}, {6,26}, {8,40}, {12,40}, {12,30}, {3,23}, {1,39}, {1,25}, {6,19}, {13,27}, {10,39}, {1,35}, {1,37}, {14,20}, {15,21}, {16,34}, {5,39}, {14,25}, {7,28}, {13,26}, {4,40}, {10,35}, {13,19}, {16,36}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {10,17}, {11,37}, {3,24}, {2,29}, {10,27}, {8,38}, {2,22}, {4,34}, {10,34}, {15,22}, {9,17}, {14,32}, {15,33}, {16,20}, {8,24}, {6,25}, {6,38}, {2,40}, {9,33}, {5,27}, {15,38}, {5,26}, {8,18}, {4,18}, {15,28}, {9,39}, {13,38}, {11,19}, {12,24}, {8,20}, {7,27}, {13,37}, {3,31}, {15,39}, {7,33}, {6,37}, {5,19}, {6,20}, {13,39}, {5,21}, {13,20}, {9,31}, {5,37}, {4,17}, {9,21}, {3,36}, {16,28}, {7,40}, {9,23}, {7,21}, {12,18}, {11,18}, {14,26} }; // ETB40.70 (= ET40.83) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 82556485632 EdgesBipt[40][70]:={ {10,25}, {1,20}, {2,24}, {10,24}, {9,28}, {2,33}, {4,27}, {12,29}, {11,35}, {5,34}, {4,24}, {15,24}, {16,26}, {16,33}, {3,22}, {10,37}, {8,30}, {6,17}, {12,32}, {7,38}, {16,31}, {15,31}, {4,29}, {1,32}, {8,33}, {1,40}, {4,19}, {7,22}, {10,33}, {3,35}, {5,20}, {3,37}, {13,35}, {8,39}, {16,18}, {16,25}, {12,35}, {8,25}, {16,23}, {14,28}, {8,31}, {12,37}, {10,22}, {3,18}, {10,30}, {6,29}, {16,30}, {6,21}, {3,34}, {2,25}, {11,38}, {14,33}, {1,17}, {10,38}, {9,32}, {14,21}, {14,36}, {15,32}, {12,20}, {12,36}, {15,40}, {2,38}, {2,37}, {7,39}, {7,32}, {1,31}, {11,22}, {15,27}, {5,23}, {10,29}, {4,21}, {15,19}, {10,21}, {6,18}, {13,18}, {10,40}, {7,30}, {8,17}, {13,31}, {11,21}, {4,35}, {9,25}, {2,32}, {6,33}, {5,18}, {1,23}, {11,29}, {11,30}, {15,35}, {13,23}, {12,28}, {8,22}, {13,28}, {9,20}, {1,28}, {3,27}, {14,37}, {4,28}, {1,33}, {3,29}, {3,26}, {16,38}, {5,28}, {13,36}, {8,26}, {16,22}, {7,31}, {2,17}, {4,36}, {12,27}, {9,40}, {14,17}, {3,19}, {1,24}, {14,18}, {5,31}, {12,19}, {6,26}, {12,40}, {8,23}, {14,34}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {6,28}, {13,27}, {14,20}, {16,34}, {5,39}, {14,25}, {16,17}, {4,37}, {11,26}, {13,26}, {4,40}, {7,23}, {13,19}, {6,36}, {2,21}, {3,30}, {8,34}, {10,17}, {11,37}, {2,29}, {11,27}, {8,38}, {2,22}, {15,22}, {9,17}, {6,25}, {2,40}, {9,33}, {9,36}, {6,34}, {5,27}, {15,38}, {5,26}, {8,18}, {16,39}, {9,39}, {11,19}, {3,38}, {4,20}, {12,24}, {7,27}, {15,23}, {7,24}, {15,39}, {9,24}, {6,37}, {13,34}, {11,34}, {5,19}, {6,20}, {7,35}, {13,39}, {2,30}, {15,30}, {13,20}, {5,35}, {9,31}, {7,19}, {7,40}, {9,23}, {4,32}, {11,18}, {12,21}, {1,36}, {14,29}, {14,26} }; // ETB40.71 (= ET40.84) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 644972544 EdgesBipt[40][71]:={ {11,17}, {10,25}, {10,24}, {11,20}, {2,33}, {6,32}, {11,36}, {13,21}, {11,35}, {5,34}, {14,19}, {16,33}, {3,22}, {4,30}, {11,25}, {8,30}, {2,23}, {16,31}, {15,31}, {4,29}, {1,32}, {1,27}, {10,23}, {1,40}, {4,31}, {10,33}, {1,19}, {3,35}, {3,37}, {13,35}, {2,26}, {7,34}, {16,25}, {12,35}, {2,28}, {12,34}, {1,30}, {5,32}, {16,23}, {4,23}, {8,27}, {13,29}, {10,22}, {11,28}, {10,30}, {6,29}, {16,30}, {4,38}, {15,29}, {6,21}, {2,25}, {5,40}, {11,38}, {11,33}, {6,31}, {6,40}, {1,38}, {2,34}, {14,33}, {1,17}, {2,36}, {4,22}, {10,38}, {9,29}, {8,19}, {9,32}, {12,17}, {12,20}, {12,36}, {5,29}, {14,40}, {7,39}, {2,39}, {7,32}, {15,26}, {11,22}, {7,25}, {14,24}, {1,22}, {4,21}, {10,31}, {3,20}, {2,20}, {6,18}, {13,18}, {10,40}, {7,26}, {5,18}, {6,24}, {7,17}, {11,30}, {5,24}, {9,37}, {12,28}, {12,25}, {15,37}, {8,22}, {15,34}, {8,35}, {13,28}, {15,20}, {3,27}, {4,28}, {1,33}, {3,29}, {6,23}, {16,38}, {8,37}, {13,36}, {15,36}, {12,26}, {16,22}, {9,22}, {7,31}, {12,33}, {2,17}, {4,36}, {12,27}, {9,40}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {12,19}, {8,40}, {6,26}, {14,34}, {10,32}, {3,21}, {1,25}, {9,30}, {10,39}, {13,27}, {1,35}, {15,21}, {14,25}, {16,17}, {4,37}, {13,26}, {15,18}, {7,23}, {13,19}, {16,36}, {3,30}, {10,17}, {11,27}, {8,38}, {14,32}, {16,20}, {8,24}, {2,31}, {6,34}, {5,27}, {5,26}, {15,28}, {16,39}, {9,39}, {9,38}, {11,19}, {3,38}, {4,20}, {3,28}, {14,35}, {15,23}, {13,37}, {7,24}, {15,39}, {9,24}, {6,39}, {7,33}, {6,37}, {13,34}, {5,19}, {5,21}, {13,20}, {5,35}, {2,18}, {9,31}, {5,37}, {9,21}, {3,36}, {4,39}, {16,28}, {7,40}, {9,23}, {14,27}, {8,29}, {12,18}, {14,26}, {7,18} }; // ETB40.72 (= ET40.85) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 201326592 EdgesBipt[40][72]:={ {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {11,36}, {11,35}, {5,34}, {15,24}, {16,26}, {16,33}, {4,26}, {3,22}, {10,37}, {4,30}, {8,30}, {16,40}, {6,17}, {5,38}, {12,32}, {8,28}, {1,32}, {8,33}, {1,27}, {12,38}, {4,19}, {4,31}, {2,19}, {3,35}, {1,21}, {16,18}, {16,25}, {12,35}, {7,36}, {8,25}, {2,28}, {9,35}, {14,28}, {4,23}, {13,29}, {6,22}, {15,25}, {3,18}, {6,29}, {16,30}, {4,38}, {6,21}, {3,34}, {2,25}, {14,23}, {6,40}, {1,38}, {14,33}, {1,17}, {2,36}, {5,22}, {9,29}, {7,20}, {9,32}, {14,21}, {14,36}, {15,32}, {9,26}, {9,27}, {12,20}, {5,29}, {2,37}, {14,40}, {7,39}, {5,25}, {7,32}, {11,22}, {7,25}, {11,31}, {10,28}, {14,24}, {15,27}, {10,29}, {10,31}, {13,22}, {2,20}, {16,37}, {10,40}, {1,29}, {7,30}, {3,39}, {13,31}, {4,35}, {2,32}, {6,33}, {11,23}, {1,23}, {6,24}, {11,30}, {12,28}, {15,37}, {8,22}, {13,25}, {15,20}, {9,20}, {3,27}, {4,28}, {1,33}, {6,23}, {16,38}, {8,37}, {15,36}, {8,26}, {12,26}, {16,22}, {2,17}, {14,17}, {8,21}, {3,19}, {12,23}, {14,22}, {5,31}, {11,24}, {11,39}, {12,19}, {8,40}, {12,40}, {12,30}, {3,23}, {14,34}, {1,39}, {10,32}, {6,28}, {13,27}, {1,35}, {15,21}, {16,34}, {5,39}, {16,21}, {13,26}, {15,18}, {4,40}, {13,19}, {6,36}, {3,30}, {8,34}, {10,17}, {3,24}, {2,29}, {11,27}, {8,38}, {1,26}, {10,36}, {9,17}, {15,33}, {2,40}, {2,31}, {9,33}, {6,34}, {5,27}, {5,26}, {8,18}, {4,18}, {9,39}, {13,38}, {9,38}, {11,19}, {10,19}, {4,20}, {7,27}, {14,35}, {13,37}, {7,24}, {3,31}, {15,39}, {10,20}, {7,33}, {12,31}, {13,34}, {11,34}, {5,19}, {13,39}, {13,17}, {15,30}, {7,37}, {5,37}, {6,35}, {9,21}, {3,36}, {16,28}, {9,23}, {7,21}, {4,32}, {12,18}, {11,18}, {14,29}, {7,18} }; // ETB40.73 (= ET40.86) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49152 EdgesBipt[40][73]:={ {11,20}, {9,28}, {2,33}, {6,32}, {12,29}, {13,21}, {13,40}, {15,24}, {16,26}, {16,33}, {4,26}, {3,22}, {10,37}, {16,27}, {6,17}, {14,39}, {2,23}, {12,22}, {5,38}, {12,32}, {7,38}, {15,31}, {4,29}, {1,32}, {8,33}, {1,27}, {10,23}, {1,40}, {4,19}, {16,19}, {7,22}, {4,31}, {10,33}, {5,20}, {16,18}, {16,25}, {8,25}, {12,34}, {1,30}, {4,23}, {8,27}, {10,22}, {15,25}, {3,18}, {11,28}, {6,29}, {3,34}, {5,40}, {11,38}, {1,17}, {2,36}, {4,22}, {8,19}, {9,32}, {16,24}, {9,26}, {9,27}, {12,36}, {15,40}, {2,37}, {14,30}, {1,31}, {11,22}, {7,25}, {11,31}, {2,35}, {6,30}, {4,33}, {5,23}, {10,29}, {3,20}, {10,21}, {2,20}, {6,18}, {16,37}, {10,40}, {7,30}, {3,39}, {11,21}, {9,25}, {8,36}, {2,32}, {1,23}, {11,29}, {7,17}, {11,30}, {15,35}, {5,24}, {13,23}, {12,28}, {12,25}, {8,35}, {13,28}, {1,28}, {14,37}, {4,28}, {15,17}, {3,29}, {16,38}, {8,37}, {5,28}, {13,36}, {8,26}, {12,26}, {7,31}, {12,33}, {2,17}, {4,36}, {9,40}, {14,17}, {3,19}, {1,24}, {14,18}, {12,23}, {13,24}, {6,27}, {11,39}, {12,19}, {6,26}, {14,34}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {9,30}, {13,27}, {14,20}, {15,21}, {16,34}, {5,39}, {15,18}, {10,35}, {13,19}, {16,36}, {2,21}, {3,30}, {8,34}, {10,17}, {2,29}, {16,35}, {8,38}, {1,26}, {2,22}, {4,34}, {10,36}, {15,22}, {9,17}, {14,32}, {15,33}, {8,24}, {2,40}, {6,34}, {5,27}, {15,38}, {8,18}, {9,39}, {13,38}, {11,19}, {4,25}, {3,38}, {3,28}, {14,35}, {13,37}, {7,24}, {3,31}, {9,24}, {10,20}, {6,39}, {7,33}, {6,37}, {12,31}, {11,34}, {5,19}, {6,20}, {7,35}, {13,39}, {5,21}, {15,30}, {13,20}, {9,31}, {5,37}, {6,35}, {7,40}, {9,23}, {7,21}, {14,27}, {4,32}, {11,18}, {14,29}, {14,26}, {7,18} }; // ETB40.74 (= ET40.87) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3145728 EdgesBipt[40][74]:={ {10,25}, {1,20}, {9,28}, {6,32}, {4,27}, {12,29}, {11,35}, {13,40}, {4,24}, {14,19}, {16,26}, {3,22}, {10,37}, {11,25}, {16,27}, {2,23}, {5,38}, {7,38}, {16,31}, {1,32}, {1,27}, {12,38}, {4,19}, {16,19}, {7,22}, {12,39}, {4,31}, {2,19}, {10,33}, {13,35}, {2,26}, {14,31}, {8,39}, {7,34}, {1,21}, {16,18}, {16,25}, {12,35}, {2,28}, {1,30}, {14,28}, {4,23}, {8,31}, {8,27}, {13,29}, {10,22}, {3,18}, {10,30}, {3,17}, {16,30}, {15,29}, {6,21}, {3,34}, {5,40}, {2,25}, {11,38}, {11,33}, {6,40}, {2,34}, {1,17}, {8,19}, {1,18}, {9,32}, {14,36}, {12,17}, {15,32}, {16,24}, {12,36}, {15,40}, {2,38}, {9,19}, {2,37}, {14,30}, {14,40}, {5,25}, {11,22}, {14,24}, {2,35}, {9,34}, {10,21}, {16,37}, {1,29}, {7,30}, {8,17}, {3,39}, {13,31}, {11,21}, {4,35}, {9,25}, {7,26}, {6,33}, {5,18}, {11,23}, {6,24}, {5,30}, {7,17}, {15,35}, {5,24}, {9,37}, {13,23}, {8,22}, {15,34}, {8,35}, {13,28}, {15,20}, {9,20}, {3,27}, {1,33}, {15,17}, {3,29}, {6,23}, {3,26}, {16,38}, {5,28}, {13,36}, {12,26}, {9,22}, {12,33}, {4,36}, {12,27}, {9,40}, {14,17}, {8,32}, {3,19}, {1,24}, {14,18}, {12,23}, {13,24}, {11,39}, {8,23}, {1,39}, {10,32}, {5,36}, {7,29}, {6,28}, {9,30}, {10,39}, {14,20}, {15,21}, {7,28}, {4,37}, {11,26}, {13,26}, {13,19}, {16,36}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {11,37}, {11,27}, {10,27}, {2,22}, {10,34}, {15,22}, {10,18}, {14,32}, {15,33}, {6,25}, {2,40}, {2,31}, {5,26}, {15,28}, {16,39}, {13,38}, {4,25}, {3,38}, {4,20}, {12,24}, {8,20}, {15,23}, {3,31}, {10,20}, {7,33}, {6,37}, {11,34}, {6,20}, {5,21}, {13,17}, {9,31}, {5,37}, {6,35}, {4,39}, {7,40}, {7,21}, {8,29}, {4,32}, {12,21}, {1,36}, {14,29}, {7,18} }; // ETB40.75 (= ET40.88) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4718592 EdgesBipt[40][75]:={ {3,33}, {10,25}, {5,17}, {9,28}, {11,36}, {4,27}, {13,21}, {11,35}, {5,34}, {13,40}, {4,24}, {15,24}, {16,26}, {3,40}, {10,37}, {8,30}, {6,17}, {14,39}, {2,23}, {12,22}, {12,32}, {7,38}, {8,28}, {16,31}, {4,29}, {1,27}, {10,23}, {12,38}, {10,26}, {4,19}, {16,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {8,39}, {7,34}, {1,21}, {8,25}, {2,28}, {12,34}, {4,23}, {8,27}, {12,37}, {16,29}, {11,28}, {10,30}, {6,29}, {15,29}, {6,21}, {2,25}, {11,38}, {11,33}, {1,17}, {5,22}, {10,38}, {14,36}, {15,32}, {16,24}, {9,27}, {12,20}, {5,29}, {2,37}, {14,30}, {5,25}, {2,39}, {15,26}, {1,31}, {7,25}, {10,28}, {14,24}, {2,35}, {6,30}, {9,34}, {13,22}, {2,20}, {6,18}, {10,40}, {1,29}, {3,39}, {13,31}, {11,21}, {4,35}, {7,26}, {6,33}, {2,32}, {13,33}, {5,18}, {16,32}, {11,23}, {1,23}, {5,30}, {7,17}, {11,30}, {15,35}, {12,28}, {12,25}, {8,22}, {13,28}, {15,20}, {3,27}, {1,33}, {15,17}, {6,23}, {16,38}, {8,37}, {13,36}, {15,36}, {12,26}, {16,22}, {9,22}, {7,31}, {4,36}, {9,40}, {14,17}, {8,32}, {3,19}, {14,18}, {14,22}, {13,24}, {11,24}, {12,19}, {8,40}, {6,26}, {12,40}, {3,23}, {14,34}, {1,39}, {10,32}, {3,21}, {1,25}, {7,29}, {9,30}, {1,35}, {1,37}, {14,20}, {16,34}, {5,39}, {16,17}, {11,26}, {13,26}, {15,18}, {10,35}, {13,19}, {16,36}, {8,34}, {5,33}, {9,18}, {3,24}, {10,18}, {14,32}, {16,20}, {6,25}, {6,38}, {2,40}, {2,31}, {11,40}, {9,33}, {9,36}, {5,27}, {15,38}, {8,18}, {9,39}, {13,38}, {4,20}, {3,28}, {8,20}, {15,23}, {3,31}, {9,24}, {10,20}, {7,33}, {6,37}, {12,31}, {13,34}, {5,21}, {15,30}, {7,37}, {5,37}, {7,19}, {4,17}, {6,35}, {9,21}, {3,36}, {4,39}, {7,21}, {14,27}, {4,32}, {11,18}, {14,29} }; // ETB40.76 (= ET40.89) // Bipartite(16,24) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 786432 EdgesBipt[40][76]:={ {3,33}, {10,25}, {2,24}, {13,32}, {2,33}, {12,29}, {11,35}, {13,40}, {4,24}, {14,19}, {15,24}, {4,26}, {3,22}, {10,37}, {4,30}, {11,25}, {16,27}, {8,30}, {16,40}, {6,17}, {14,39}, {12,22}, {12,32}, {7,38}, {4,29}, {1,27}, {10,26}, {12,39}, {7,22}, {10,33}, {2,27}, {1,19}, {13,35}, {14,31}, {7,34}, {1,21}, {16,18}, {8,25}, {2,28}, {12,34}, {16,23}, {9,35}, {14,28}, {4,23}, {12,37}, {10,22}, {11,28}, {10,30}, {6,29}, {3,17}, {16,30}, {4,38}, {15,29}, {6,21}, {3,34}, {5,40}, {11,38}, {11,33}, {6,31}, {2,34}, {1,17}, {2,36}, {10,38}, {9,29}, {7,20}, {9,32}, {14,36}, {12,17}, {16,24}, {9,27}, {12,20}, {14,40}, {5,25}, {2,39}, {7,32}, {15,26}, {1,31}, {7,25}, {11,31}, {10,28}, {14,24}, {5,23}, {10,21}, {10,40}, {1,29}, {8,17}, {3,39}, {13,31}, {11,21}, {4,35}, {9,25}, {7,26}, {6,33}, {5,18}, {16,32}, {11,23}, {1,23}, {6,24}, {5,30}, {9,37}, {13,23}, {12,25}, {8,22}, {15,34}, {13,28}, {9,20}, {3,27}, {1,33}, {15,17}, {3,29}, {6,23}, {8,37}, {5,28}, {13,36}, {15,36}, {8,26}, {7,31}, {4,36}, {12,27}, {8,32}, {3,19}, {14,22}, {13,24}, {12,19}, {6,26}, {14,34}, {1,39}, {3,21}, {1,25}, {6,19}, {9,30}, {1,35}, {1,37}, {14,20}, {15,21}, {5,39}, {7,28}, {13,26}, {11,26}, {15,18}, {13,19}, {16,36}, {6,36}, {2,21}, {8,34}, {5,33}, {9,18}, {11,37}, {3,24}, {16,35}, {8,38}, {2,22}, {10,34}, {15,22}, {9,17}, {10,18}, {14,32}, {15,33}, {16,20}, {6,38}, {2,40}, {11,40}, {5,27}, {15,38}, {8,18}, {4,18}, {16,39}, {9,39}, {13,38}, {11,19}, {4,20}, {8,20}, {3,31}, {12,31}, {5,21}, {2,30}, {15,30}, {13,20}, {7,37}, {5,35}, {2,18}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {16,28}, {7,40}, {9,23}, {14,27}, {8,29}, {4,32} }; // ETB40.77 (= ET40.90) // Bipartite(20,20) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 5760 EdgesBipt[40][77]:={ {10,25}, {2,24}, {10,24}, {6,32}, {17,36}, {18,39}, {4,27}, {13,21}, {11,35}, {5,34}, {4,24}, {15,24}, {16,26}, {16,33}, {3,22}, {3,40}, {10,37}, {18,32}, {4,30}, {11,25}, {16,27}, {8,30}, {14,39}, {2,23}, {12,32}, {7,38}, {8,28}, {16,31}, {15,31}, {4,29}, {1,32}, {8,33}, {1,27}, {3,25}, {10,23}, {12,38}, {19,24}, {20,40}, {1,40}, {17,34}, {14,38}, {7,22}, {4,31}, {10,33}, {20,21}, {7,34}, {1,21}, {12,35}, {17,21}, {18,21}, {8,25}, {2,28}, {1,30}, {5,32}, {17,40}, {14,28}, {8,27}, {13,29}, {16,29}, {18,34}, {10,22}, {6,22}, {18,37}, {10,30}, {16,30}, {19,28}, {4,38}, {15,29}, {6,21}, {3,34}, {5,40}, {2,25}, {14,23}, {11,38}, {2,34}, {14,33}, {2,36}, {5,22}, {10,38}, {19,40}, {17,37}, {9,32}, {14,21}, {14,36}, {19,26}, {16,24}, {9,26}, {9,27}, {12,36}, {5,29}, {2,38}, {19,29}, {14,30}, {7,39}, {2,39}, {17,39}, {15,26}, {17,23}, {1,31}, {11,22}, {7,25}, {11,31}, {14,24}, {20,31}, {17,33}, {1,22}, {15,27}, {20,33}, {6,30}, {4,21}, {9,34}, {13,22}, {1,29}, {3,39}, {13,31}, {7,26}, {6,33}, {2,32}, {13,33}, {11,23}, {1,23}, {5,30}, {15,35}, {9,37}, {13,23}, {12,25}, {15,37}, {18,24}, {20,28}, {8,35}, {19,31}, {3,27}, {14,37}, {18,36}, {4,28}, {18,33}, {3,29}, {16,38}, {13,36}, {8,26}, {17,31}, {12,26}, {9,22}, {12,33}, {13,30}, {4,36}, {20,29}, {12,27}, {9,40}, {8,32}, {8,21}, {14,22}, {11,24}, {8,40}, {12,40}, {12,30}, {3,23}, {1,39}, {10,32}, {18,25}, {17,29}, {20,25}, {7,29}, {6,28}, {18,23}, {9,30}, {13,27}, {5,39}, {16,21}, {20,35}, {7,28}, {11,26}, {13,26}, {4,40}, {10,35}, {16,36}, {2,21}, {5,33}, {20,26}, {11,37}, {3,24}, {11,27}, {16,35}, {18,28}, {8,38}, {2,22}, {10,36}, {10,34}, {15,22}, {19,39}, {6,25}, {6,38}, {20,24}, {11,40}, {9,33}, {9,36}, {20,36}, {6,34}, {5,27}, {15,38}, {19,25}, {5,26}, {15,28}, {4,25}, {3,38}, {12,24}, {3,28}, {7,27}, {14,35}, {15,23}, {13,37}, {3,31}, {15,39}, {17,26}, {6,39}, {12,31}, {6,37}, {11,34}, {19,35}, {7,35}, {13,39}, {5,21}, {2,30}, {19,34}, {7,37}, {9,31}, {1,34}, {19,23}, {5,37}, {6,35}, {17,32}, {16,28}, {18,35}, {7,40}, {9,23}, {19,37}, {20,32}, {8,29}, {4,32}, {1,36} }; // ETB40.78 (= ET40.91) // Bipartite(20,20) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 978447237120 EdgesBipt[40][78]:={ {3,33}, {10,24}, {2,24}, {9,28}, {6,32}, {11,36}, {17,36}, {18,39}, {12,29}, {13,21}, {11,35}, {5,34}, {13,40}, {4,24}, {15,24}, {16,26}, {16,33}, {18,29}, {3,40}, {17,38}, {10,37}, {4,30}, {11,25}, {8,30}, {7,38}, {15,31}, {20,27}, {1,32}, {8,33}, {3,25}, {10,23}, {12,38}, {19,24}, {10,26}, {17,34}, {14,38}, {12,39}, {4,31}, {10,33}, {2,27}, {3,35}, {3,37}, {20,21}, {13,35}, {2,26}, {14,31}, {8,39}, {7,34}, {17,24}, {16,25}, {7,36}, {18,21}, {8,25}, {2,28}, {12,34}, {5,32}, {16,23}, {17,40}, {9,35}, {14,28}, {8,31}, {8,27}, {13,29}, {12,37}, {16,29}, {10,22}, {19,21}, {6,22}, {11,28}, {18,37}, {6,29}, {19,28}, {4,38}, {11,38}, {11,33}, {1,38}, {2,34}, {2,36}, {5,22}, {4,22}, {19,40}, {17,37}, {9,32}, {14,21}, {15,32}, {19,30}, {12,36}, {2,38}, {2,37}, {14,30}, {14,40}, {19,22}, {7,39}, {2,39}, {17,39}, {15,26}, {11,22}, {14,24}, {20,31}, {1,22}, {15,27}, {19,38}, {20,33}, {5,23}, {4,21}, {10,31}, {9,34}, {10,21}, {1,29}, {7,30}, {3,39}, {13,31}, {18,30}, {4,35}, {9,25}, {13,33}, {6,33}, {7,26}, {16,32}, {11,23}, {1,23}, {11,29}, {17,30}, {5,24}, {17,27}, {13,23}, {12,28}, {15,37}, {15,34}, {13,25}, {8,35}, {19,31}, {1,28}, {18,27}, {3,27}, {20,22}, {4,28}, {1,33}, {18,33}, {3,29}, {6,23}, {16,38}, {8,37}, {15,36}, {18,31}, {12,26}, {16,22}, {9,22}, {13,30}, {17,28}, {12,27}, {9,40}, {8,21}, {14,22}, {5,31}, {11,39}, {6,26}, {8,40}, {20,23}, {12,40}, {12,30}, {3,23}, {8,23}, {14,34}, {1,39}, {10,32}, {18,25}, {17,29}, {5,36}, {3,21}, {1,25}, {7,29}, {6,28}, {18,23}, {9,30}, {13,27}, {1,35}, {15,21}, {14,25}, {7,28}, {19,32}, {20,37}, {11,26}, {4,40}, {16,36}, {6,36}, {3,30}, {5,33}, {20,26}, {2,29}, {16,35}, {10,27}, {20,34}, {1,26}, {4,34}, {10,36}, {10,34}, {15,22}, {11,32}, {14,32}, {15,33}, {6,25}, {6,38}, {20,24}, {2,40}, {20,36}, {5,27}, {19,25}, {5,26}, {16,39}, {9,38}, {4,25}, {12,24}, {7,27}, {14,35}, {15,23}, {13,37}, {7,24}, {3,31}, {9,24}, {18,40}, {17,26}, {6,39}, {19,35}, {13,39}, {5,21}, {2,30}, {19,34}, {7,37}, {9,31}, {5,37}, {6,35}, {9,21}, {16,28}, {18,35}, {7,40}, {20,32}, {8,29}, {4,32}, {1,36} }; // ETB40.79 (= ET40.92) // Bipartite(20,20) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 251658240 EdgesBipt[40][79]:={ {10,25}, {2,24}, {13,32}, {2,33}, {17,36}, {4,27}, {13,21}, {11,35}, {5,34}, {15,24}, {16,33}, {4,26}, {3,22}, {10,37}, {4,30}, {11,25}, {16,27}, {8,30}, {2,23}, {5,38}, {8,28}, {18,38}, {20,27}, {1,32}, {8,33}, {3,25}, {12,38}, {20,40}, {17,34}, {2,27}, {3,35}, {13,35}, {7,34}, {1,21}, {17,24}, {16,25}, {7,36}, {17,21}, {18,21}, {8,25}, {2,28}, {12,34}, {5,32}, {16,23}, {17,40}, {20,30}, {4,23}, {8,31}, {12,37}, {16,29}, {10,22}, {19,21}, {10,30}, {6,29}, {15,29}, {19,33}, {3,34}, {5,40}, {14,23}, {20,38}, {11,33}, {2,34}, {14,33}, {5,22}, {4,22}, {10,38}, {9,29}, {17,37}, {9,32}, {14,36}, {19,26}, {15,32}, {16,24}, {9,26}, {9,27}, {15,40}, {5,29}, {2,38}, {2,37}, {19,29}, {14,30}, {14,40}, {19,22}, {7,39}, {17,39}, {15,26}, {1,31}, {11,22}, {10,28}, {11,31}, {1,22}, {4,33}, {10,29}, {13,22}, {16,37}, {10,40}, {1,29}, {7,30}, {13,31}, {18,30}, {3,32}, {11,21}, {4,35}, {8,36}, {6,33}, {7,26}, {11,23}, {1,23}, {11,29}, {6,24}, {5,30}, {17,30}, {5,24}, {9,37}, {17,27}, {12,28}, {15,34}, {13,25}, {20,28}, {8,35}, {13,28}, {18,26}, {19,31}, {14,37}, {20,22}, {18,36}, {1,33}, {18,33}, {6,23}, {3,26}, {16,38}, {5,28}, {13,36}, {15,36}, {8,26}, {17,31}, {18,31}, {9,22}, {7,31}, {12,33}, {4,36}, {20,29}, {12,27}, {8,21}, {1,24}, {12,23}, {14,22}, {13,24}, {11,24}, {6,27}, {11,39}, {8,40}, {12,40}, {20,39}, {12,30}, {8,23}, {1,39}, {10,32}, {18,25}, {17,29}, {20,25}, {5,36}, {3,21}, {1,25}, {7,29}, {19,36}, {6,28}, {18,23}, {10,39}, {1,35}, {16,34}, {5,39}, {14,25}, {20,35}, {19,32}, {20,37}, {4,37}, {13,26}, {4,40}, {10,35}, {2,21}, {3,24}, {16,35}, {18,28}, {10,27}, {8,38}, {15,22}, {11,32}, {14,32}, {19,39}, {6,25}, {6,38}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {15,38}, {5,26}, {15,28}, {16,39}, {9,39}, {13,38}, {4,25}, {3,38}, {12,24}, {3,28}, {7,27}, {14,35}, {7,24}, {3,31}, {15,39}, {18,40}, {17,26}, {6,39}, {12,31}, {6,37}, {11,34}, {13,34}, {2,30}, {15,30}, {7,37}, {9,31}, {1,34}, {19,23}, {6,35}, {9,21}, {3,36}, {16,28}, {18,35}, {7,40}, {9,23}, {19,37}, {20,32}, {7,21}, {14,27}, {4,32}, {19,27}, {12,21}, {14,26} }; // ETB40.80 (= ET40.102) // Bipartite(5,35) Valencies [14,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32520160641024000000 EdgesBipt[40][80]:={ {5,12}, {1,26}, {4,8}, {4,13}, {4,23}, {5,32}, {1,14}, {2,37}, {1,24}, {5,37}, {5,24}, {2,32}, {2,30}, {1,29}, {5,29}, {2,10}, {5,27}, {1,39}, {4,10}, {3,21}, {2,40}, {1,6}, {1,36}, {4,40}, {3,33}, {3,38}, {3,8}, {3,23}, {1,31}, {2,12}, {4,30}, {5,9}, {5,7}, {4,18}, {4,33}, {2,7}, {3,11}, {3,16}, {3,28}, {2,20}, {1,16}, {4,38}, {5,19}, {1,21}, {4,20}, {5,17}, {2,15}, {3,18}, {3,31}, {3,26}, {4,15}, {4,28}, {5,39}, {2,27}, {3,6}, {4,25}, {5,14}, {2,17}, {3,13}, {5,34}, {2,35}, {1,19}, {1,9}, {2,25}, {4,35}, {1,34}, {1,11}, {5,22}, {2,22}, {3,36} }; // ETB40.81 (= ET40.103) // Bipartite(12,28) Valencies [14,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6689861617582080000 EdgesBipt[40][81]:={ {10,25}, {1,20}, {5,17}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {7,15}, {11,35}, {4,26}, {3,40}, {10,37}, {4,30}, {8,30}, {6,17}, {1,13}, {12,22}, {1,32}, {3,15}, {12,38}, {1,40}, {10,26}, {4,19}, {12,39}, {4,31}, {10,33}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {12,35}, {7,36}, {12,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,31}, {8,27}, {10,22}, {6,22}, {11,28}, {10,30}, {6,29}, {4,38}, {6,21}, {2,25}, {5,40}, {2,34}, {1,17}, {4,22}, {10,38}, {9,29}, {8,19}, {7,20}, {9,32}, {5,29}, {2,38}, {2,37}, {8,14}, {7,39}, {5,25}, {11,15}, {7,32}, {11,31}, {6,30}, {10,29}, {3,20}, {10,21}, {2,13}, {6,18}, {1,29}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {6,33}, {11,23}, {5,24}, {9,37}, {8,22}, {8,35}, {9,20}, {4,15}, {1,28}, {3,27}, {1,33}, {10,13}, {5,28}, {8,26}, {12,26}, {7,31}, {2,17}, {9,13}, {12,27}, {9,40}, {3,19}, {1,24}, {12,23}, {11,24}, {11,39}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {5,36}, {1,25}, {12,15}, {6,14}, {1,37}, {7,28}, {3,16}, {11,16}, {7,23}, {2,21}, {8,34}, {5,33}, {10,17}, {3,24}, {2,29}, {11,27}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {6,38}, {11,40}, {9,33}, {9,36}, {6,34}, {8,18}, {4,18}, {11,19}, {5,13}, {3,28}, {7,27}, {7,24}, {3,31}, {9,24}, {6,37}, {12,31}, {10,14}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {5,37}, {7,19}, {9,21}, {9,16}, {3,36}, {4,39}, {7,40}, {12,18}, {1,36}, {5,16} }; // ETB40.82 (= ET40.104) // Bipartite(12,28) Valencies [14,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 991090610012160000 EdgesBipt[40][82]:={ {3,33}, {10,24}, {11,20}, {6,32}, {6,16}, {11,36}, {12,29}, {11,35}, {4,24}, {4,26}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {12,32}, {7,38}, {3,13}, {3,25}, {3,15}, {10,26}, {2,15}, {7,22}, {2,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {8,39}, {7,34}, {1,21}, {2,14}, {1,30}, {5,32}, {8,15}, {9,35}, {8,31}, {8,27}, {12,37}, {10,22}, {11,28}, {10,30}, {6,29}, {3,17}, {4,38}, {6,21}, {5,40}, {6,40}, {1,38}, {2,34}, {1,17}, {4,22}, {10,38}, {9,29}, {8,19}, {1,18}, {12,17}, {9,27}, {12,20}, {12,36}, {2,38}, {9,19}, {8,14}, {2,39}, {11,15}, {7,13}, {7,25}, {11,31}, {10,28}, {2,35}, {1,22}, {12,13}, {12,16}, {5,23}, {10,40}, {1,29}, {7,30}, {3,39}, {9,25}, {7,26}, {6,33}, {11,23}, {6,24}, {7,17}, {5,24}, {9,37}, {12,28}, {12,25}, {8,22}, {8,35}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {5,28}, {8,26}, {12,33}, {4,36}, {9,13}, {3,19}, {5,31}, {11,24}, {11,39}, {12,40}, {3,23}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {7,29}, {6,28}, {1,37}, {5,39}, {4,40}, {11,16}, {6,36}, {8,34}, {11,27}, {8,38}, {1,26}, {2,22}, {4,34}, {10,36}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {2,31}, {11,40}, {9,33}, {5,27}, {8,18}, {4,18}, {9,39}, {11,19}, {4,20}, {12,24}, {3,31}, {1,14}, {10,20}, {5,15}, {7,33}, {6,37}, {10,14}, {5,19}, {6,20}, {9,15}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {9,31}, {1,34}, {9,21}, {9,23}, {7,21}, {4,32}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB40.83 (= ET40.106) // Bipartite(10,30) Valencies [15,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 179159040000000 EdgesBipt[40][83]:={ {1,11}, {2,24}, {1,20}, {5,17}, {9,28}, {6,32}, {4,27}, {7,15}, {4,24}, {8,12}, {3,22}, {3,40}, {4,30}, {8,30}, {1,13}, {5,38}, {8,28}, {4,29}, {1,32}, {3,13}, {3,25}, {10,23}, {10,33}, {1,19}, {3,35}, {5,20}, {3,37}, {2,26}, {7,36}, {8,25}, {2,28}, {2,14}, {5,32}, {4,23}, {8,31}, {10,15}, {10,22}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {6,31}, {1,38}, {2,34}, {1,17}, {2,36}, {8,19}, {9,32}, {9,26}, {9,27}, {5,11}, {5,29}, {2,38}, {7,39}, {1,31}, {7,13}, {9,14}, {7,25}, {10,28}, {4,33}, {5,23}, {10,29}, {4,21}, {9,34}, {10,21}, {2,20}, {10,40}, {1,29}, {7,30}, {2,16}, {4,35}, {8,36}, {6,33}, {2,32}, {5,18}, {1,23}, {5,30}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {3,11}, {3,29}, {8,37}, {9,22}, {7,31}, {6,15}, {4,36}, {9,40}, {5,12}, {3,19}, {6,27}, {6,26}, {8,40}, {3,23}, {5,36}, {1,25}, {6,19}, {6,14}, {10,11}, {10,39}, {1,35}, {1,37}, {3,16}, {10,35}, {8,34}, {10,17}, {10,27}, {1,26}, {2,22}, {10,34}, {8,24}, {6,25}, {6,38}, {2,40}, {9,33}, {5,26}, {8,18}, {4,18}, {9,39}, {9,38}, {4,11}, {4,12}, {3,28}, {7,27}, {7,24}, {3,31}, {2,12}, {1,14}, {6,39}, {7,33}, {6,37}, {6,20}, {9,15}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {7,19}, {4,17}, {9,21}, {9,16}, {4,39}, {7,21}, {7,18}, {10,16} }; // ETB40.84 (= ET40.107) // Bipartite(20,20) Valencies [15,15] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 2063912140800000000 EdgesBipt[40][84]:={ {13,21}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {4,28}, {3,26}, {13,37}, {1,40}, {14,38}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {16,37}, {3,39}, {20,37}, {16,28}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {14,29}, {16,21}, {13,40}, {2,33}, {11,35}, {6,29}, {11,27}, {19,40}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {15,32}, {9,33}, {8,37}, {20,24}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {20,35}, {1,36}, {1,29}, {12,37}, {10,35}, {18,39}, {4,23}, {13,26}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {20,36}, {16,40}, {18,29}, {9,36}, {6,34}, {9,29}, {18,26}, {18,33}, {3,38}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {16,29}, {11,36}, {3,30}, {11,23}, {3,24}, {14,33}, {14,23}, {10,38}, {15,34}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {9,38}, {14,21}, {9,26}, {18,38}, {13,36}, {2,23}, {15,23}, {9,22}, {20,31}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {18,25}, {13,22}, {1,25}, {9,30}, {3,32}, {14,27}, {7,28}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {16,31}, {6,23}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {17,22}, {17,25}, {19,34}, {7,40}, {20,32}, {2,26}, {18,21}, {10,21}, {9,21}, {18,30}, {8,29}, {8,36}, {8,27}, {16,36}, {13,32}, {14,26}, {11,30}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {18,27}, {1,33}, {20,28}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {19,35}, {13,34}, {7,22}, {6,26}, {1,34}, {5,21}, {17,24}, {17,40}, {20,23}, {17,21}, {19,36}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,25}, {7,26}, {11,28}, {16,35}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {6,21}, {15,22}, {17,37}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {20,40}, {5,25}, {10,23}, {15,26}, {8,39}, {14,22}, {5,36}, {9,34}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {18,34}, {11,26}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB40.85 (= ET40.108) // Bipartite(8,32) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338292261550817280000 EdgesBipt[40][85]:={ {4,35}, {7,19}, {5,32}, {7,39}, {3,15}, {8,39}, {8,31}, {2,38}, {6,10}, {6,18}, {4,14}, {2,22}, {6,14}, {4,27}, {6,17}, {7,40}, {7,24}, {1,40}, {1,25}, {6,13}, {2,37}, {5,24}, {3,32}, {1,9}, {2,33}, {6,25}, {7,31}, {7,27}, {1,32}, {7,15}, {7,23}, {5,13}, {8,34}, {3,31}, {6,34}, {2,18}, {6,9}, {4,26}, {8,14}, {5,9}, {6,22}, {7,11}, {5,21}, {2,29}, {3,19}, {5,37}, {1,29}, {8,22}, {7,28}, {8,15}, {2,14}, {5,33}, {3,11}, {2,10}, {4,39}, {1,36}, {1,17}, {6,33}, {3,40}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {2,13}, {1,12}, {7,20}, {8,35}, {8,26}, {3,23}, {6,37}, {5,29}, {4,31}, {3,27}, {2,34}, {4,30}, {6,26}, {8,11}, {5,28}, {4,15}, {2,9}, {8,19}, {6,29}, {7,35}, {4,38}, {4,11}, {3,35}, {2,21}, {6,30}, {8,27}, {6,38}, {8,38}, {5,20}, {4,22}, {3,28}, {5,36}, {3,24}, {5,17}, {3,12}, {8,23}, {7,16}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {4,18}, {7,32}, {2,26}, {3,20}, {1,33}, {5,12}, {2,25}, {1,28}, {3,36}, {8,30}, {4,34}, {7,36}, {4,23}, {5,16}, {7,12}, {2,30}, {1,21}, {5,25}, {4,19}, {4,10}, {5,40}, {1,24} }; // ETB40.86 (= ET40.109) // Bipartite(8,32) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21134460321792 EdgesBipt[40][86]:={ {1,15}, {4,35}, {7,19}, {7,39}, {6,12}, {8,39}, {8,31}, {2,38}, {6,10}, {6,18}, {3,29}, {2,22}, {3,38}, {6,36}, {1,31}, {6,17}, {4,27}, {7,40}, {5,35}, {7,24}, {1,40}, {4,40}, {5,34}, {1,25}, {7,38}, {4,16}, {6,13}, {2,37}, {1,9}, {2,33}, {6,25}, {7,31}, {7,27}, {3,30}, {1,32}, {7,15}, {7,23}, {8,34}, {3,10}, {3,34}, {6,34}, {6,9}, {5,26}, {8,14}, {7,11}, {2,29}, {3,19}, {4,12}, {3,18}, {8,22}, {8,15}, {2,14}, {5,23}, {3,11}, {4,37}, {4,20}, {8,33}, {1,36}, {1,17}, {3,13}, {2,16}, {2,32}, {6,33}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,22}, {5,19}, {5,15}, {8,26}, {6,37}, {8,17}, {7,14}, {3,27}, {6,26}, {2,40}, {4,36}, {4,21}, {7,30}, {5,28}, {2,9}, {6,29}, {7,35}, {2,24}, {4,11}, {3,35}, {1,23}, {2,21}, {5,27}, {1,39}, {8,9}, {8,38}, {5,20}, {5,36}, {3,26}, {5,31}, {8,23}, {6,20}, {7,16}, {3,21}, {4,32}, {1,20}, {5,11}, {7,22}, {5,10}, {7,32}, {8,25}, {1,33}, {5,12}, {2,25}, {1,28}, {3,37}, {5,18}, {8,30}, {5,39}, {4,13}, {2,30}, {4,19}, {4,24}, {1,24}, {6,28} }; // ETB40.87 (= ET40.110) // Bipartite(8,32) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 25165824 EdgesBipt[40][87]:={ {1,15}, {4,35}, {5,32}, {7,39}, {6,12}, {5,14}, {8,31}, {2,38}, {6,18}, {3,29}, {2,22}, {3,38}, {5,30}, {1,31}, {6,17}, {4,27}, {7,40}, {7,24}, {1,40}, {2,20}, {4,40}, {1,25}, {7,33}, {2,37}, {3,32}, {1,38}, {1,9}, {6,32}, {6,25}, {7,31}, {6,40}, {7,15}, {7,23}, {5,13}, {8,34}, {6,34}, {2,15}, {6,9}, {4,26}, {8,14}, {8,13}, {5,21}, {2,29}, {3,19}, {5,37}, {4,12}, {8,22}, {7,28}, {8,15}, {1,34}, {7,10}, {2,14}, {5,33}, {3,11}, {5,23}, {4,37}, {2,10}, {4,20}, {6,11}, {2,31}, {2,23}, {1,10}, {7,26}, {8,33}, {4,39}, {1,36}, {3,13}, {1,22}, {6,33}, {2,36}, {8,18}, {4,28}, {2,13}, {3,9}, {3,22}, {8,17}, {5,29}, {7,14}, {3,27}, {1,19}, {4,36}, {4,21}, {7,30}, {5,28}, {1,35}, {1,26}, {4,11}, {6,19}, {3,35}, {2,21}, {5,27}, {7,18}, {2,39}, {8,9}, {8,38}, {8,32}, {5,17}, {8,16}, {6,16}, {3,21}, {1,20}, {5,11}, {3,16}, {3,25}, {8,25}, {2,26}, {3,20}, {5,12}, {3,36}, {3,37}, {6,24}, {6,35}, {8,30}, {6,27}, {7,34}, {7,17}, {4,23}, {5,16}, {5,39}, {7,12}, {2,30}, {1,18}, {4,19}, {4,10}, {4,24}, {1,24}, {8,29}, {6,28} }; // ETB40.88 (= ET40.111) // Bipartite(20,20) Valencies [16,16] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 15216811431690240 EdgesBipt[40][88]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {3,21}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {19,21}, {13,40}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {20,38}, {2,34}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {8,30}, {9,33}, {8,37}, {20,24}, {17,39}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {15,30}, {20,39}, {5,37}, {18,35}, {16,25}, {20,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {9,38}, {14,21}, {9,26}, {18,38}, {17,31}, {13,36}, {20,22}, {15,23}, {9,22}, {3,25}, {19,24}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {7,34}, {11,24}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {5,39}, {3,32}, {14,27}, {17,30}, {10,22}, {5,40}, {10,30}, {16,30}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {15,24}, {16,26}, {12,25}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {16,31}, {6,23}, {7,39}, {4,36}, {15,39}, {4,29}, {19,29}, {8,32}, {7,24}, {10,28}, {9,24}, {17,22}, {17,25}, {19,34}, {7,40}, {5,23}, {20,32}, {2,26}, {10,40}, {18,21}, {9,21}, {7,29}, {18,30}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {2,21}, {4,27}, {18,28}, {5,24}, {15,29}, {2,22}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {12,36}, {2,37}, {5,29}, {3,28}, {7,31}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {14,24}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {19,32}, {13,33}, {20,34}, {7,26}, {11,28}, {1,23}, {16,35}, {10,24}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {12,32}, {8,28}, {18,40}, {20,40}, {5,25}, {10,23}, {3,37}, {14,22}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {8,25}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.89 (= ET40.115) // Bipartite(4,36) Valencies [18,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 138720970502182010880000 EdgesBipt[40][89]:={ {3,32}, {2,14}, {3,40}, {4,23}, {4,39}, {2,37}, {1,24}, {3,12}, {2,26}, {1,29}, {2,30}, {2,29}, {1,32}, {4,34}, {2,10}, {1,37}, {1,33}, {1,40}, {4,11}, {4,10}, {1,36}, {3,27}, {2,6}, {4,7}, {1,20}, {1,12}, {4,31}, {3,8}, {3,23}, {3,24}, {2,33}, {3,20}, {2,21}, {4,6}, {4,30}, {4,18}, {3,11}, {3,16}, {3,7}, {1,16}, {3,28}, {3,15}, {4,38}, {2,38}, {1,21}, {2,18}, {4,27}, {3,19}, {2,5}, {3,31}, {1,5}, {4,15}, {1,17}, {4,22}, {3,39}, {1,28}, {2,17}, {1,8}, {1,13}, {2,34}, {2,9}, {1,9}, {4,26}, {2,13}, {2,25}, {4,14}, {4,35}, {4,19}, {1,25}, {2,22}, {3,36}, {3,35} }; // ETB40.90 (= ET40.116) // Bipartite(4,36) Valencies [18,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3343537668096000000 EdgesBipt[40][90]:={ {2,11}, {2,14}, {4,8}, {4,9}, {4,39}, {2,26}, {3,12}, {2,32}, {2,30}, {1,29}, {2,29}, {4,34}, {2,24}, {1,37}, {1,40}, {1,10}, {4,10}, {3,21}, {3,27}, {4,40}, {3,33}, {2,6}, {2,36}, {3,37}, {1,31}, {4,16}, {3,24}, {3,9}, {2,12}, {4,32}, {4,33}, {1,7}, {1,16}, {3,7}, {2,20}, {3,15}, {4,38}, {2,38}, {3,25}, {2,18}, {4,27}, {4,21}, {4,20}, {3,19}, {3,30}, {3,18}, {2,5}, {3,31}, {1,5}, {4,15}, {4,28}, {1,17}, {4,22}, {3,6}, {3,39}, {1,28}, {2,17}, {3,13}, {2,23}, {1,13}, {2,35}, {1,19}, {4,26}, {1,22}, {2,8}, {4,14}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {3,36} }; // ETB40.91 (= ET40.117) // Bipartite(10,30) Valencies [18,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[40][91]:={ {1,11}, {3,33}, {2,24}, {10,24}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {4,26}, {3,22}, {3,40}, {4,16}, {10,37}, {4,30}, {8,30}, {6,17}, {1,13}, {5,38}, {4,29}, {8,33}, {3,15}, {1,40}, {10,26}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {7,34}, {1,21}, {8,25}, {2,28}, {2,14}, {1,30}, {8,15}, {6,11}, {9,35}, {4,23}, {8,27}, {10,15}, {10,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {2,25}, {6,40}, {6,31}, {1,38}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {9,29}, {10,38}, {1,18}, {7,20}, {9,32}, {9,27}, {5,11}, {2,38}, {9,19}, {8,14}, {7,39}, {5,25}, {7,32}, {3,12}, {7,13}, {9,14}, {7,25}, {10,28}, {2,35}, {1,22}, {6,12}, {5,23}, {3,20}, {10,31}, {9,34}, {2,13}, {10,40}, {1,29}, {8,17}, {3,32}, {4,35}, {7,16}, {8,36}, {1,12}, {6,33}, {2,32}, {7,26}, {5,18}, {1,23}, {6,24}, {8,11}, {5,24}, {9,37}, {8,13}, {5,14}, {9,20}, {4,15}, {7,14}, {3,27}, {10,13}, {3,26}, {8,37}, {5,28}, {2,17}, {4,36}, {5,12}, {9,40}, {8,21}, {5,31}, {6,26}, {3,23}, {1,39}, {3,21}, {1,25}, {6,19}, {7,29}, {6,14}, {9,30}, {10,11}, {10,39}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {10,35}, {7,23}, {6,36}, {3,30}, {5,33}, {8,34}, {8,38}, {1,26}, {2,22}, {10,36}, {10,18}, {2,40}, {9,36}, {5,27}, {8,18}, {9,39}, {9,38}, {4,25}, {4,11}, {3,28}, {8,20}, {7,24}, {3,31}, {2,12}, {10,20}, {6,39}, {5,19}, {6,20}, {7,35}, {5,21}, {6,13}, {7,37}, {1,34}, {9,31}, {5,37}, {4,17}, {9,21}, {9,23}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB40.92 (= ET40.118) // Bipartite(10,30) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23219011584000000 EdgesBipt[40][92]:={ {3,33}, {2,24}, {1,20}, {10,24}, {9,28}, {6,32}, {6,16}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {3,40}, {10,37}, {4,30}, {6,17}, {1,13}, {5,38}, {7,38}, {4,29}, {3,13}, {3,25}, {3,15}, {10,23}, {1,40}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {10,33}, {3,35}, {2,26}, {8,39}, {2,14}, {1,30}, {6,11}, {8,31}, {8,27}, {9,11}, {10,22}, {6,22}, {3,18}, {8,16}, {6,21}, {2,25}, {7,12}, {6,40}, {6,31}, {1,38}, {2,34}, {2,36}, {4,22}, {8,19}, {10,38}, {1,18}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {5,29}, {8,14}, {2,39}, {7,32}, {7,13}, {7,25}, {10,28}, {2,35}, {6,12}, {6,30}, {5,23}, {10,29}, {3,20}, {2,20}, {1,29}, {7,30}, {8,17}, {2,16}, {4,35}, {8,36}, {5,18}, {1,23}, {7,17}, {8,11}, {5,24}, {9,37}, {8,22}, {5,14}, {4,15}, {1,28}, {3,11}, {1,33}, {10,13}, {10,12}, {3,26}, {8,37}, {5,28}, {8,26}, {9,22}, {6,15}, {9,13}, {8,32}, {8,21}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {9,12}, {1,15}, {2,11}, {10,39}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {2,29}, {10,27}, {4,34}, {4,14}, {10,34}, {9,17}, {10,18}, {8,24}, {6,25}, {2,40}, {2,31}, {9,33}, {9,36}, {5,26}, {9,38}, {4,25}, {10,19}, {3,38}, {4,12}, {4,20}, {5,13}, {3,28}, {7,27}, {3,31}, {1,14}, {7,33}, {6,37}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {7,37}, {1,34}, {9,31}, {4,17}, {6,35}, {9,21}, {9,16}, {3,36}, {4,39}, {7,40}, {9,23}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB40.93 (= ET40.119) // Bipartite(10,30) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 232190115840 EdgesBipt[40][93]:={ {3,33}, {2,24}, {5,17}, {10,24}, {9,28}, {6,32}, {6,16}, {5,34}, {4,24}, {3,40}, {10,37}, {4,30}, {8,30}, {1,13}, {7,38}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {10,23}, {10,26}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {3,35}, {3,37}, {2,26}, {8,39}, {7,34}, {7,36}, {8,25}, {2,28}, {2,14}, {5,32}, {8,15}, {9,35}, {8,31}, {8,27}, {9,11}, {10,22}, {6,22}, {6,29}, {3,17}, {4,38}, {1,38}, {2,34}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {7,20}, {9,32}, {5,11}, {2,38}, {2,37}, {7,39}, {2,39}, {9,14}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {10,31}, {9,34}, {10,21}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,39}, {4,35}, {9,25}, {7,16}, {7,26}, {1,12}, {6,33}, {1,23}, {7,17}, {8,11}, {5,24}, {8,13}, {8,35}, {5,14}, {9,20}, {4,15}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {8,37}, {9,22}, {6,15}, {2,17}, {9,40}, {5,12}, {8,21}, {3,19}, {5,31}, {6,26}, {8,40}, {3,23}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {1,15}, {6,28}, {9,30}, {10,11}, {1,35}, {7,28}, {4,40}, {6,36}, {3,30}, {5,33}, {9,18}, {10,17}, {2,29}, {10,27}, {1,26}, {4,34}, {1,16}, {10,36}, {4,14}, {10,34}, {6,25}, {6,38}, {2,40}, {5,27}, {5,26}, {4,18}, {9,38}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,27}, {7,24}, {3,31}, {9,24}, {6,39}, {10,14}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {2,18}, {9,31}, {5,37}, {7,19}, {6,35}, {9,21}, {7,40}, {8,29}, {4,32}, {1,36}, {7,18}, {10,16}, {5,16} }; // ETB40.94 (= ET40.120) // Bipartite(10,30) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255941120 EdgesBipt[40][94]:={ {1,11}, {2,24}, {10,24}, {10,25}, {2,33}, {4,27}, {5,34}, {8,12}, {4,26}, {3,22}, {4,16}, {10,37}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {8,28}, {1,32}, {8,33}, {1,27}, {2,15}, {7,22}, {4,31}, {2,19}, {1,19}, {5,20}, {7,34}, {1,21}, {7,36}, {8,25}, {2,14}, {8,15}, {9,35}, {4,23}, {9,11}, {10,15}, {10,22}, {3,18}, {10,30}, {6,29}, {8,16}, {3,34}, {5,40}, {7,12}, {2,25}, {1,38}, {2,34}, {1,17}, {4,22}, {9,29}, {10,38}, {1,18}, {3,14}, {7,20}, {9,26}, {9,27}, {5,11}, {9,19}, {7,39}, {2,39}, {7,32}, {1,31}, {3,12}, {10,28}, {2,35}, {1,22}, {4,33}, {5,23}, {4,21}, {2,13}, {2,20}, {6,18}, {10,40}, {1,29}, {7,30}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {8,36}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {9,37}, {8,13}, {8,22}, {8,35}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {1,33}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {6,15}, {4,36}, {9,40}, {8,32}, {3,19}, {5,31}, {6,27}, {8,40}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {6,19}, {7,29}, {6,28}, {6,14}, {2,11}, {9,30}, {1,37}, {3,16}, {4,37}, {10,35}, {2,21}, {5,33}, {10,17}, {3,24}, {2,29}, {8,38}, {10,27}, {10,34}, {9,17}, {10,18}, {6,25}, {6,38}, {2,40}, {2,31}, {9,36}, {6,34}, {5,26}, {8,18}, {9,39}, {4,25}, {3,38}, {4,11}, {4,12}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {3,31}, {10,20}, {6,39}, {6,37}, {10,14}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {9,31}, {7,19}, {4,17}, {6,35}, {9,21}, {9,16}, {3,36}, {7,40}, {4,32}, {5,16} }; // ETB40.95 (= ET40.121) // Bipartite(10,30) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[40][95]:={ {1,11}, {1,20}, {10,24}, {10,25}, {6,16}, {4,27}, {5,34}, {8,12}, {4,26}, {3,40}, {4,16}, {10,37}, {8,30}, {2,23}, {1,13}, {5,38}, {7,38}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {1,40}, {10,26}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {1,21}, {8,25}, {2,28}, {2,14}, {8,15}, {6,11}, {8,31}, {8,27}, {10,15}, {10,22}, {6,22}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {7,12}, {6,31}, {2,34}, {1,17}, {4,22}, {9,29}, {10,38}, {7,11}, {7,20}, {3,14}, {9,32}, {2,38}, {9,19}, {2,37}, {7,39}, {7,32}, {9,14}, {10,28}, {2,35}, {6,30}, {4,33}, {5,23}, {9,34}, {2,13}, {2,20}, {10,40}, {8,17}, {3,32}, {9,25}, {7,16}, {8,36}, {1,12}, {2,32}, {7,26}, {5,18}, {6,24}, {5,30}, {7,17}, {5,24}, {9,37}, {8,22}, {8,35}, {1,28}, {4,13}, {3,11}, {7,14}, {4,28}, {10,13}, {3,29}, {3,26}, {8,37}, {5,28}, {9,22}, {7,31}, {6,15}, {2,17}, {5,12}, {9,40}, {8,32}, {8,21}, {1,24}, {5,31}, {6,26}, {8,40}, {3,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {6,14}, {10,11}, {10,39}, {1,35}, {5,39}, {3,16}, {4,37}, {4,40}, {10,35}, {7,23}, {6,36}, {3,30}, {5,33}, {9,18}, {2,29}, {1,26}, {2,22}, {4,34}, {4,14}, {9,17}, {10,18}, {9,33}, {9,36}, {6,34}, {5,27}, {8,18}, {4,18}, {9,39}, {9,38}, {4,25}, {3,38}, {4,11}, {4,12}, {5,13}, {8,20}, {3,28}, {7,27}, {7,24}, {3,31}, {2,12}, {9,24}, {10,20}, {6,39}, {5,15}, {7,33}, {6,37}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {1,34}, {6,35}, {3,36}, {9,21}, {9,23}, {1,36}, {7,18}, {5,16} }; // ETB40.96 (= ET40.122) // Bipartite(16,24) Valencies [18,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[40][96]:={ {13,21}, {6,38}, {11,40}, {10,37}, {15,38}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {16,22}, {2,35}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {10,39}, {3,20}, {2,18}, {1,21}, {16,37}, {16,28}, {1,35}, {8,31}, {4,40}, {14,29}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {3,18}, {2,34}, {10,17}, {9,18}, {2,25}, {15,32}, {4,30}, {8,30}, {8,37}, {12,20}, {12,38}, {12,26}, {7,27}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {1,24}, {15,30}, {12,23}, {13,20}, {15,19}, {1,29}, {6,18}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {1,38}, {13,19}, {14,32}, {1,26}, {3,17}, {2,36}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {8,19}, {5,27}, {2,39}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {6,27}, {5,35}, {3,36}, {4,21}, {13,17}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {3,30}, {16,17}, {2,24}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {14,21}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {3,25}, {11,34}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {13,38}, {14,40}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {10,28}, {9,24}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,21}, {7,29}, {8,29}, {9,23}, {7,21}, {8,36}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {15,29}, {2,22}, {2,31}, {14,19}, {16,38}, {1,33}, {16,27}, {5,26}, {2,37}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {1,34}, {13,35}, {14,18}, {5,21}, {6,28}, {16,23}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {5,18}, {16,35}, {11,20}, {10,27}, {10,34}, {5,17}, {16,33}, {7,17}, {8,35}, {13,23}, {2,40}, {15,22}, {15,20}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {14,22}, {8,39}, {3,37}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {6,33}, {12,21}, {11,26}, {15,25}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.97 (= ET40.123) // Bipartite(16,24) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2139864107581440000 EdgesBipt[40][97]:={ {13,21}, {6,38}, {11,40}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {13,37}, {1,40}, {14,38}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,39}, {16,37}, {16,28}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {14,29}, {16,21}, {13,40}, {2,33}, {11,35}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {9,33}, {1,17}, {8,37}, {12,20}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {1,36}, {15,19}, {1,29}, {6,18}, {12,37}, {10,35}, {4,23}, {11,18}, {13,26}, {2,29}, {5,34}, {1,38}, {1,26}, {16,40}, {9,36}, {6,34}, {9,29}, {9,20}, {8,19}, {3,38}, {1,18}, {15,28}, {6,17}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {11,23}, {3,24}, {14,33}, {14,23}, {10,38}, {15,34}, {13,25}, {14,39}, {8,24}, {9,38}, {14,21}, {9,26}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {11,34}, {7,35}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {13,22}, {1,25}, {6,19}, {4,17}, {9,30}, {3,32}, {14,27}, {7,28}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {15,40}, {3,22}, {14,37}, {13,38}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {2,19}, {7,40}, {5,20}, {2,26}, {10,21}, {9,21}, {8,29}, {8,36}, {8,27}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {16,20}, {2,31}, {14,19}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {13,34}, {7,22}, {6,26}, {1,34}, {14,18}, {5,21}, {16,23}, {4,35}, {13,33}, {14,25}, {7,26}, {7,18}, {11,28}, {5,18}, {16,35}, {11,20}, {15,18}, {10,34}, {10,27}, {5,17}, {16,33}, {3,40}, {8,35}, {6,21}, {15,22}, {15,20}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {8,39}, {14,17}, {5,36}, {16,19}, {9,34}, {4,39}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB40.98 (= ET40.124) // Bipartite(16,24) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1934917632 EdgesBipt[40][98]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {8,26}, {13,37}, {14,38}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {2,34}, {10,17}, {9,18}, {15,32}, {8,30}, {9,33}, {1,17}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {10,26}, {12,31}, {12,40}, {10,20}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {15,19}, {1,29}, {12,37}, {16,34}, {4,23}, {8,38}, {13,26}, {6,24}, {5,34}, {1,38}, {13,19}, {14,32}, {1,26}, {3,17}, {2,36}, {16,40}, {8,22}, {9,36}, {9,39}, {9,20}, {1,18}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {16,18}, {1,30}, {13,18}, {11,21}, {8,17}, {16,29}, {11,36}, {2,24}, {3,24}, {10,36}, {14,33}, {14,23}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {14,21}, {9,26}, {3,29}, {13,36}, {2,23}, {15,23}, {9,22}, {9,19}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {9,30}, {3,32}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {5,40}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {16,26}, {15,40}, {14,37}, {13,38}, {14,40}, {6,23}, {16,31}, {15,17}, {4,36}, {15,39}, {4,29}, {6,37}, {8,32}, {7,24}, {10,28}, {2,19}, {7,40}, {5,20}, {2,26}, {10,40}, {10,21}, {7,29}, {2,28}, {9,23}, {7,21}, {8,36}, {3,33}, {16,36}, {14,26}, {11,30}, {9,28}, {4,27}, {5,24}, {2,22}, {16,20}, {2,31}, {1,33}, {16,27}, {5,26}, {5,29}, {4,25}, {14,30}, {3,28}, {11,19}, {8,33}, {12,39}, {14,24}, {13,34}, {7,22}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {16,23}, {4,35}, {13,33}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,34}, {5,17}, {3,40}, {2,40}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {14,22}, {8,39}, {3,37}, {14,17}, {16,19}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {15,25}, {5,33}, {5,30}, {11,38}, {6,40} }; // ETB40.99 (= ET40.125) // Bipartite(16,24) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2359296 EdgesBipt[40][99]:={ {15,33}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {12,22}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {4,31}, {3,35}, {10,33}, {3,19}, {14,31}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {3,18}, {2,34}, {10,17}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,38}, {12,26}, {13,30}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {13,24}, {15,30}, {12,23}, {13,20}, {9,35}, {15,19}, {1,29}, {16,34}, {10,35}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {13,19}, {14,32}, {1,26}, {3,17}, {16,40}, {8,22}, {9,36}, {6,34}, {9,39}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {4,21}, {13,17}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {6,36}, {16,29}, {11,36}, {3,30}, {16,17}, {11,23}, {10,36}, {14,33}, {15,37}, {10,38}, {13,25}, {14,39}, {8,24}, {9,38}, {14,21}, {9,26}, {3,29}, {12,17}, {13,36}, {10,19}, {15,23}, {9,22}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {5,19}, {10,29}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {5,40}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {15,40}, {13,38}, {14,40}, {6,23}, {16,31}, {4,36}, {4,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {2,21}, {2,22}, {16,20}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {4,25}, {3,28}, {12,39}, {14,24}, {7,25}, {7,22}, {1,34}, {5,21}, {12,34}, {16,23}, {14,20}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {15,18}, {10,27}, {16,33}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {15,20}, {13,28}, {16,24}, {3,27}, {9,27}, {7,38}, {2,38}, {15,36}, {15,31}, {9,40}, {4,20}, {8,20}, {1,27}, {10,23}, {15,26}, {4,19}, {14,22}, {8,39}, {3,37}, {14,17}, {16,19}, {9,34}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {2,32}, {15,25}, {5,33}, {5,30}, {9,37} }; // ETB40.100 (= ET40.126) // Bipartite(20,20) Valencies [18,18] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 7610145177600 EdgesBipt[40][100]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {16,21}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {20,24}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {7,33}, {12,40}, {20,29}, {13,24}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {20,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {20,36}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {19,30}, {8,24}, {9,38}, {14,21}, {9,26}, {3,29}, {17,31}, {13,36}, {2,23}, {15,23}, {9,22}, {20,31}, {3,25}, {19,24}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {17,30}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {16,31}, {7,39}, {4,36}, {15,39}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {7,40}, {5,23}, {2,26}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {4,27}, {5,24}, {15,29}, {2,22}, {18,24}, {16,38}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {13,35}, {5,21}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {18,23}, {4,35}, {19,32}, {13,33}, {15,21}, {14,25}, {20,34}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {10,27}, {10,34}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {8,39}, {14,22}, {5,36}, {9,34}, {12,35}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {16,32}, {2,32}, {18,34}, {11,26}, {15,25}, {5,33}, {18,37}, {11,38}, {9,37}, {6,40} }; // ETB40.101 (= ET40.130) // Bipartite(20,20) Valencies [19,19] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 4865804016353280000 EdgesBipt[40][101]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {8,23}, {10,39}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {8,37}, {20,24}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {20,36}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {9,38}, {14,21}, {9,26}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {20,22}, {15,23}, {9,22}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {16,26}, {15,40}, {3,22}, {13,38}, {18,31}, {14,40}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {7,24}, {10,28}, {9,24}, {17,22}, {17,25}, {19,34}, {7,40}, {5,23}, {20,32}, {2,26}, {10,40}, {18,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {2,31}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {14,24}, {19,35}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,25}, {15,21}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {20,40}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {14,22}, {8,39}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.102 (= ET40.131) // Bipartite(15,25) Valencies [20,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 600 EdgesBipt[40][102]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {2,35}, {4,31}, {8,40}, {3,35}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {6,29}, {1,20}, {8,16}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {10,26}, {2,17}, {7,33}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {5,34}, {1,38}, {13,19}, {14,32}, {3,17}, {2,36}, {9,36}, {9,29}, {9,39}, {9,20}, {4,22}, {1,18}, {3,38}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {13,17}, {4,32}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {6,16}, {15,34}, {13,25}, {14,39}, {8,24}, {14,21}, {3,29}, {12,17}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {4,33}, {1,22}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {15,40}, {3,22}, {13,38}, {6,23}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {12,36}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {12,33}, {11,19}, {8,33}, {12,39}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {13,33}, {14,20}, {15,21}, {7,26}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {10,27}, {10,34}, {15,18}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {15,22}, {4,26}, {1,28}, {7,20}, {9,27}, {7,38}, {12,32}, {15,36}, {15,31}, {8,20}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {8,39}, {3,37}, {14,17}, {5,36}, {9,34}, {4,39}, {12,35}, {7,36}, {12,19}, {1,37}, {8,25}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.103 (= ET40.132) // Bipartite(15,25) Valencies [20,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23219011584000000 EdgesBipt[40][103]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {5,38}, {5,22}, {10,18}, {9,17}, {12,22}, {3,26}, {8,26}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {14,29}, {13,40}, {2,33}, {6,32}, {11,29}, {11,17}, {6,29}, {11,27}, {3,18}, {8,16}, {10,17}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {1,17}, {4,16}, {12,20}, {12,38}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {11,18}, {8,38}, {13,26}, {6,24}, {13,16}, {2,29}, {1,38}, {13,19}, {1,26}, {14,32}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {7,19}, {4,32}, {13,18}, {11,21}, {6,36}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {15,37}, {10,38}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {14,21}, {9,26}, {3,29}, {12,17}, {13,36}, {2,23}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {15,40}, {14,37}, {13,38}, {14,40}, {6,23}, {15,17}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {7,40}, {5,23}, {5,20}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {14,16}, {8,36}, {3,33}, {14,26}, {3,34}, {4,27}, {2,22}, {14,19}, {1,33}, {5,26}, {2,37}, {4,25}, {3,28}, {14,30}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,18}, {11,37}, {11,28}, {5,18}, {5,16}, {1,23}, {10,27}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {4,26}, {15,20}, {13,28}, {1,28}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {8,39}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB40.104 (= ET40.133) // Bipartite(20,20) Valencies [20,20] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 11838024362779855370834883379200000000 EdgesBipt[40][104]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {20,24}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {20,35}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {20,36}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {9,38}, {14,21}, {9,26}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {20,22}, {15,23}, {9,22}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {7,40}, {5,23}, {20,32}, {2,26}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,25}, {15,21}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {14,22}, {8,39}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.105 (= ET40.134) // Bipartite(12,28) Valencies [21,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20069584852746240000 EdgesBipt[40][105]:={ {5,17}, {1,20}, {10,25}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {12,29}, {7,15}, {11,35}, {5,34}, {4,24}, {3,22}, {3,40}, {4,16}, {10,37}, {6,17}, {2,23}, {1,13}, {5,38}, {12,32}, {7,38}, {8,28}, {4,29}, {1,32}, {8,33}, {3,15}, {10,23}, {1,40}, {10,26}, {2,15}, {4,19}, {7,22}, {12,39}, {4,31}, {2,19}, {2,27}, {10,33}, {3,35}, {5,20}, {2,26}, {7,34}, {8,39}, {1,21}, {11,14}, {12,35}, {7,36}, {8,25}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {12,37}, {10,15}, {10,22}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {8,16}, {6,21}, {3,34}, {5,40}, {2,25}, {11,38}, {6,31}, {1,38}, {2,34}, {1,17}, {5,22}, {8,19}, {9,29}, {10,38}, {1,18}, {3,14}, {7,20}, {9,32}, {12,17}, {9,26}, {12,20}, {12,36}, {5,29}, {2,38}, {2,37}, {7,39}, {5,25}, {2,39}, {7,32}, {11,15}, {11,22}, {9,14}, {11,31}, {2,35}, {1,22}, {12,13}, {6,30}, {4,33}, {12,16}, {4,21}, {10,29}, {3,20}, {10,31}, {9,34}, {2,13}, {10,21}, {6,18}, {1,29}, {7,30}, {8,17}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {8,36}, {5,18}, {11,23}, {5,30}, {11,30}, {5,24}, {9,37}, {12,28}, {12,25}, {8,13}, {8,35}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {6,23}, {3,26}, {8,37}, {5,28}, {9,22}, {7,31}, {12,33}, {6,15}, {2,17}, {4,36}, {9,13}, {12,27}, {9,40}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {11,39}, {6,26}, {8,40}, {12,19}, {12,40}, {3,23}, {8,23}, {5,36}, {1,25}, {6,19}, {12,15}, {6,14}, {9,30}, {10,39}, {1,37}, {7,28}, {3,16}, {4,37}, {11,26}, {4,40}, {10,35}, {7,23}, {11,16}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {1,16}, {10,34}, {11,32}, {9,17}, {10,18}, {8,24}, {6,25}, {6,38}, {2,31}, {11,40}, {9,33}, {9,36}, {6,34}, {5,26}, {9,38}, {11,19}, {4,25}, {10,19}, {3,38}, {4,20}, {5,13}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {1,14}, {9,24}, {6,39}, {6,37}, {12,31}, {10,14}, {11,34}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {4,39}, {7,40}, {8,29}, {4,32}, {11,18}, {1,36}, {12,21}, {7,18}, {5,16} }; // ETB40.106 (= ET40.135) // Bipartite(16,24) Valencies [21,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17336861982720 EdgesBipt[40][106]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {14,36}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {12,22}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {4,37}, {4,40}, {16,21}, {13,40}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {11,27}, {1,20}, {2,34}, {9,18}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {13,24}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {3,17}, {2,36}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {13,38}, {14,40}, {6,23}, {15,17}, {7,39}, {15,39}, {4,29}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {7,25}, {6,26}, {1,34}, {14,18}, {5,21}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {3,37}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.107 (= ET40.136) // Bipartite(19,21) Valencies [21,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6214962790459424069688313774080000000 EdgesBipt[40][107]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {19,20}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {19,40}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {9,38}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {15,23}, {9,22}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {19,35}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {17,40}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {8,39}, {14,22}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.108 (= ET40.137) // Bipartite(18,22) Valencies [22,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7196272704742491028060152791040000000 EdgesBipt[40][108]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {7,28}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.109 (= ET40.138) // Bipartite(17,23) Valencies [23,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9195237344948738535854639677440000000 EdgesBipt[40][109]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {17,31}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.110 (= ET40.139) // Bipartite(8,32) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1014876784652451840000 EdgesBipt[40][110]:={ {5,17}, {1,20}, {2,33}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {5,38}, {8,9}, {7,38}, {8,28}, {4,29}, {1,32}, {8,33}, {3,15}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {8,39}, {1,21}, {2,9}, {7,36}, {8,25}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {6,29}, {8,16}, {6,21}, {3,34}, {5,40}, {2,25}, {7,12}, {6,31}, {1,38}, {2,34}, {1,17}, {5,22}, {8,19}, {1,18}, {7,11}, {3,14}, {7,20}, {2,10}, {5,29}, {2,38}, {2,37}, {7,39}, {5,25}, {2,39}, {7,32}, {3,12}, {2,35}, {1,22}, {6,30}, {4,33}, {4,21}, {3,20}, {2,13}, {6,18}, {1,29}, {7,30}, {8,17}, {3,39}, {3,32}, {4,35}, {7,16}, {6,33}, {1,12}, {7,26}, {8,36}, {5,18}, {5,30}, {8,11}, {5,24}, {8,13}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {6,23}, {3,10}, {3,26}, {8,37}, {5,28}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {8,40}, {3,23}, {8,23}, {5,36}, {1,25}, {6,19}, {6,9}, {6,14}, {2,11}, {1,37}, {7,28}, {3,16}, {4,37}, {4,40}, {7,23}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {8,24}, {6,25}, {6,38}, {2,31}, {6,34}, {6,10}, {5,10}, {5,26}, {5,9}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {1,14}, {6,39}, {6,37}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB40.111 (= ET40.140) // Bipartite(8,32) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[40][111]:={ {1,11}, {3,33}, {2,24}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,40}, {4,16}, {8,30}, {6,17}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {8,39}, {1,21}, {2,9}, {7,36}, {8,10}, {2,28}, {1,30}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {6,29}, {3,17}, {8,16}, {6,21}, {2,25}, {5,40}, {7,12}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {8,19}, {1,18}, {7,11}, {7,20}, {3,14}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {8,14}, {7,39}, {5,25}, {7,32}, {3,12}, {7,25}, {1,22}, {6,30}, {4,33}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {7,30}, {2,16}, {3,39}, {4,35}, {7,16}, {7,26}, {1,12}, {6,33}, {2,32}, {8,36}, {5,18}, {1,23}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {6,23}, {3,10}, {3,26}, {5,28}, {8,26}, {6,15}, {2,17}, {5,12}, {8,32}, {3,19}, {5,31}, {6,26}, {8,40}, {3,23}, {8,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {6,14}, {1,35}, {1,37}, {7,28}, {4,37}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {8,34}, {3,24}, {2,29}, {8,38}, {2,22}, {4,34}, {1,16}, {8,24}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,10}, {5,27}, {8,18}, {4,18}, {5,9}, {4,11}, {4,12}, {5,13}, {3,28}, {8,20}, {7,27}, {7,10}, {7,24}, {3,31}, {2,12}, {1,14}, {6,39}, {5,15}, {6,37}, {7,33}, {5,19}, {6,20}, {5,21}, {6,13}, {5,35}, {2,18}, {1,34}, {5,37}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {8,29}, {4,32}, {7,18} }; // ETB40.112 (= ET40.141) // Bipartite(10,30) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 743008370688000000 EdgesBipt[40][112]:={ {1,11}, {3,33}, {2,24}, {5,17}, {10,25}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {4,24}, {4,26}, {3,40}, {4,16}, {10,37}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {7,38}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {3,35}, {5,20}, {7,34}, {8,39}, {1,21}, {8,25}, {2,28}, {2,14}, {5,32}, {6,11}, {8,15}, {9,35}, {8,31}, {9,11}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {8,16}, {6,21}, {3,34}, {5,40}, {2,25}, {7,12}, {6,31}, {1,38}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {10,38}, {1,18}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {2,38}, {9,19}, {2,37}, {8,14}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {7,13}, {9,14}, {7,25}, {10,28}, {2,35}, {1,22}, {6,12}, {5,23}, {4,21}, {3,20}, {10,31}, {9,34}, {2,13}, {10,21}, {2,20}, {6,18}, {10,40}, {1,29}, {7,30}, {3,39}, {4,35}, {9,25}, {2,32}, {1,12}, {6,33}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {9,37}, {8,13}, {8,35}, {9,20}, {4,15}, {1,28}, {3,11}, {7,14}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {3,26}, {5,28}, {8,26}, {9,22}, {2,17}, {4,36}, {5,12}, {9,40}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {8,40}, {3,23}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {6,19}, {9,12}, {7,29}, {6,28}, {6,14}, {9,30}, {10,11}, {1,37}, {7,28}, {3,16}, {4,37}, {4,40}, {10,35}, {7,23}, {6,36}, {3,30}, {5,33}, {8,34}, {10,17}, {3,24}, {2,29}, {8,38}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {10,36}, {4,14}, {9,17}, {10,18}, {8,24}, {6,38}, {2,40}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {9,39}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {9,24}, {10,20}, {5,15}, {6,39}, {6,37}, {7,33}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {5,37}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {4,39}, {7,40}, {8,29}, {4,32}, {1,36}, {7,18}, {10,16}, {5,16} }; // ETB40.113 (= ET40.142) // Bipartite(16,24) Valencies [24,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12981511545809983815324197191680000000 EdgesBipt[40][113]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {6,23}, {16,31}, {15,17}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {4,26}, {15,20}, {16,39}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {2,32}, {12,21}, {6,33}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.114 (= ET40.147) // Bipartite(15,25) Valencies [25,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20283611790328099711444058112000000000 EdgesBipt[40][114]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {6,23}, {15,17}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.115 (= ET40.148) // Bipartite(14,26) Valencies [26,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 35158260436568706166503034060800000000 EdgesBipt[40][115]:={ {13,21}, {6,38}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {14,37}, {13,38}, {4,15}, {14,40}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {3,15}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.116 (= ET40.149) // Bipartite(4,36) Valencies [27,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 416162911506546032640000 EdgesBipt[40][116]:={ {4,35}, {3,15}, {2,38}, {2,22}, {3,38}, {4,8}, {3,7}, {4,27}, {2,11}, {1,40}, {4,40}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {3,10}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {1,22}, {3,40}, {1,16}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,22}, {3,23}, {4,31}, {3,27}, {2,34}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {1,26}, {4,11}, {2,27}, {3,35}, {2,21}, {2,39}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {1,14}, {4,32}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {4,9}, {2,7}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {2,5}, {4,24}, {1,24} }; // ETB40.117 (= ET40.150) // Bipartite(10,30) Valencies [27,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 219419659468800 EdgesBipt[40][117]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {8,26}, {5,11}, {1,40}, {2,35}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {1,13}, {7,27}, {6,39}, {10,26}, {2,17}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {4,23}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {5,28}, {2,39}, {4,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {5,35}, {6,12}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {7,34}, {10,31}, {9,31}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {6,22}, {4,34}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {5,36}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB40.118 (= ET40.151) // Bipartite(13,27) Valencies [27,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 67805216556239647606827279974400000000 EdgesBipt[40][118]:={ {13,21}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {13,39}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {6,14}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {13,25}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {13,38}, {4,15}, {6,23}, {7,39}, {13,14}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.119 (= ET40.155) // Bipartite(5,35) Valencies [28,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 390241927692288000000 EdgesBipt[40][119]:={ {4,35}, {5,32}, {3,15}, {2,38}, {1,11}, {4,14}, {3,29}, {2,22}, {3,38}, {5,30}, {1,31}, {4,27}, {5,35}, {2,20}, {4,40}, {4,16}, {2,37}, {1,38}, {1,9}, {2,33}, {3,30}, {1,32}, {5,7}, {4,6}, {5,13}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {5,26}, {5,21}, {2,29}, {3,19}, {1,29}, {4,12}, {5,6}, {5,37}, {3,18}, {1,34}, {2,14}, {3,11}, {5,23}, {5,33}, {2,10}, {4,37}, {4,20}, {2,23}, {4,7}, {1,36}, {4,39}, {1,17}, {3,13}, {1,22}, {2,32}, {3,40}, {1,16}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {5,15}, {3,23}, {4,31}, {2,34}, {4,30}, {1,19}, {2,40}, {4,21}, {4,36}, {2,35}, {4,17}, {5,28}, {2,9}, {4,15}, {4,25}, {1,26}, {2,24}, {4,11}, {5,22}, {2,27}, {5,38}, {3,35}, {1,23}, {5,27}, {1,7}, {5,8}, {1,39}, {2,39}, {2,12}, {4,22}, {5,20}, {3,28}, {3,26}, {5,36}, {3,24}, {5,17}, {5,31}, {3,21}, {1,14}, {4,32}, {3,39}, {2,8}, {1,37}, {1,27}, {5,11}, {3,16}, {1,13}, {5,10}, {3,25}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {5,12}, {1,28}, {3,36}, {4,9}, {2,7}, {5,18}, {4,34}, {3,33}, {1,8}, {5,16}, {2,30}, {1,21}, {1,6}, {1,18}, {4,19}, {5,25}, {4,10}, {4,24}, {5,40}, {1,24} }; // ETB40.120 (= ET40.156) // Bipartite(8,32) Valencies [28,7] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4438236667576320 EdgesBipt[40][120]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {8,9}, {3,9}, {8,28}, {4,29}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {8,27}, {6,22}, {3,17}, {8,16}, {4,38}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {2,10}, {5,29}, {2,38}, {2,37}, {8,14}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {1,33}, {3,29}, {6,23}, {8,37}, {5,28}, {8,26}, {7,31}, {6,15}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {5,31}, {6,27}, {6,26}, {8,40}, {3,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {8,38}, {1,26}, {2,22}, {4,34}, {4,14}, {8,24}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {3,38}, {4,11}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {6,39}, {7,33}, {6,20}, {7,35}, {5,21}, {2,30}, {7,37}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB40.121 (= ET40.157) // Bipartite(12,28) Valencies [28,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 146042004890362317922397218406400000000 EdgesBipt[40][121]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {12,38}, {1,13}, {12,26}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {12,17}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {12,34}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.122 (= ET40.159) // Bipartite(11,29) Valencies [29,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 352934845151708934979126611148800000000 EdgesBipt[40][122]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB40.123 (= ET40.160) // Bipartite(10,30) Valencies [30,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 962549577686478913579436212224000000000 EdgesBipt[40][123]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {9,38}, {9,26}, {5,14}, {3,29}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB40.124 (= ET40.162) // Bipartite(9,31) Valencies [31,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2983903690828084632096252257894400000000 EdgesBipt[40][124]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {9,10}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {8,37}, {4,13}, {7,11}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {9,38}, {4,10}, {9,26}, {5,14}, {3,29}, {2,23}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {5,10}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB40.125 (= ET40.163) // Bipartite(8,32) Valencies [32,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10609435345166523136342230250291200000000 EdgesBipt[40][125]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {8,9}, {3,9}, {7,38}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {8,39}, {1,21}, {2,9}, {7,36}, {8,10}, {8,25}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {8,14}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {8,40}, {3,23}, {8,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {8,38}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB40.126 (= ET40.165) // Bipartite(7,33) Valencies [33,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43763920798811907937411699782451200000000 EdgesBipt[40][126]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {1,25}, {6,19}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {2,18}, {5,35}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB40.127 (= ET40.166) // Bipartite(6,34) Valencies [34,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 212567615308514981410285398943334400000000 EdgesBipt[40][127]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {6,35}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB40.128 (= ET40.167) // Bipartite(5,35) Valencies [35,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1239977755966337391559998160502784000000000 EdgesBipt[40][128]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {3,18}, {3,17}, {3,7}, {4,38}, {3,34}, {2,25}, {5,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {5,29}, {2,38}, {2,37}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {3,26}, {5,28}, {2,17}, {4,36}, {4,6}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {5,6}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB40.129 (= ET40.169) // Bipartite(4,36) Valencies [36,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8927839842957629219231986755620044800000000 EdgesBipt[40][129]:={ {1,15}, {4,35}, {3,15}, {2,38}, {1,11}, {4,14}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {1,40}, {2,20}, {4,40}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {2,34}, {3,27}, {4,30}, {1,19}, {2,40}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {4,38}, {2,24}, {4,11}, {2,27}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {4,32}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {4,9}, {2,7}, {4,34}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB40.130 (= ET40.171) // Bipartite(3,37) Valencies [37,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 82582518547358070277895877489485414400000000 EdgesBipt[40][130]:={ {1,15}, {3,15}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {2,11}, {1,40}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB40.131 (= ET40.172) // Bipartite(2,38) Valencies [38,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1046045234933202223520014448200148582400000000 EdgesBipt[40][131]:={ {2,11}, {1,26}, {2,14}, {1,14}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,40}, {1,10}, {2,39}, {1,39}, {1,36}, {1,6}, {2,40}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {1,38}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,38}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB40.132 (= ET40.174) // Bipartite(1,39) Valencies [39,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 20397882081197443358640281739902897356800000000 EdgesBipt[40][132]:={ {1,4}, {1,20}, {1,3}, {1,34}, {1,37}, {1,30}, {1,14}, {1,23}, {1,40}, {1,39}, {1,33}, {1,24}, {1,38}, {1,7}, {1,27}, {1,29}, {1,35}, {1,5}, {1,15}, {1,22}, {1,28}, {1,16}, {1,10}, {1,12}, {1,13}, {1,17}, {1,2}, {1,11}, {1,36}, {1,19}, {1,18}, {1,25}, {1,32}, {1,21}, {1,9}, {1,26}, {1,31}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 40 is 132 // ******************************************************************************************** // Order 41 // ETB41.1 (= ET41.6) // Bipartite(20,21) Valencies [21,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 124299255809188481393766275481600000000 EdgesBipt[41][1]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {20,24}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {20,35}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {20,22}, {15,23}, {12,41}, {9,22}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {7,40}, {2,41}, {17,41}, {5,23}, {20,32}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {6,41}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,25}, {15,21}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {8,39}, {14,22}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.2 (= ET41.7) // Bipartite(19,22) Valencies [22,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 136729181390107329533142903029760000000 EdgesBipt[41][2]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {19,20}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {19,40}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {15,23}, {12,41}, {9,22}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {8,39}, {14,22}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.3 (= ET41.8) // Bipartite(18,23) Valencies [23,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 165514272209077293645383514193920000000 EdgesBipt[41][3]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {12,41}, {9,22}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {16,41}, {7,28}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.4 (= ET41.9) // Bipartite(17,24) Valencies [24,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 220685696278769724860511352258560000000 EdgesBipt[41][4]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.5 (= ET41.10) // Bipartite(16,25) Valencies [25,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 324537788645249595383104929792000000000 EdgesBipt[41][5]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {16,31}, {15,17}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {6,41}, {12,34}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {16,32}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.6 (= ET41.11) // Bipartite(15,26) Valencies [26,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 527373906548530592497545510912000000000 EdgesBipt[41][6]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {15,17}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {6,41}, {12,34}, {6,28}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.7 (= ET41.12) // Bipartite(14,27) Valencies [27,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 949273031787355066495581919641600000000 EdgesBipt[41][7]:={ {13,21}, {6,38}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {14,37}, {13,38}, {4,15}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {6,41}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.8 (= ET41.13) // Bipartite(13,28) Valencies [28,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1898546063574710132991163839283200000000 EdgesBipt[41][8]:={ {13,21}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {13,39}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {6,14}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {13,25}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {13,38}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {13,14}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {6,41}, {9,15}, {12,34}, {6,28}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.9 (= ET41.14) // Bipartite(12,29) Valencies [29,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4235218141820507219749519333785600000000 EdgesBipt[41][9]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {6,41}, {9,15}, {12,34}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.10 (= ET41.15) // Bipartite(11,30) Valencies [30,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10588045354551268049373798334464000000000 EdgesBipt[41][10]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {2,37}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {6,41}, {9,15}, {6,28}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB41.11 (= ET41.16) // Bipartite(10,31) Valencies [31,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29839036908280846320962522578944000000000 EdgesBipt[41][11]:={ {6,38}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {6,41}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB41.12 (= ET41.17) // Bipartite(9,32) Valencies [32,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 95484918106498708227080072252620800000000 EdgesBipt[41][12]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {9,10}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {8,37}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {6,41}, {9,15}, {6,28}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {5,10}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB41.13 (= ET41.18) // Bipartite(8,33) Valencies [33,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 350111366390495263499293598259609600000000 EdgesBipt[41][13]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {8,9}, {3,9}, {7,38}, {8,28}, {4,29}, {1,32}, {3,13}, {8,33}, {1,27}, {3,25}, {3,15}, {7,41}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {8,39}, {1,21}, {2,9}, {7,36}, {8,10}, {8,25}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {8,31}, {6,22}, {3,18}, {3,17}, {6,29}, {8,16}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,11}, {2,10}, {4,41}, {5,29}, {8,41}, {2,38}, {2,37}, {8,14}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {8,13}, {8,22}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {8,26}, {7,31}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {8,32}, {8,21}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {8,40}, {3,23}, {8,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {8,34}, {3,24}, {2,29}, {8,38}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {1,41}, {3,41}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {7,21}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB41.14 (= ET41.19) // Bipartite(7,34) Valencies [34,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1487973307159604869871997792603340800000000 EdgesBipt[41][14]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {7,41}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {7,31}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {1,25}, {6,19}, {6,9}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {1,41}, {3,41}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {2,18}, {5,35}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB41.15 (= ET41.20) // Bipartite(6,35) Valencies [35,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7439866535798024349359988963016704000000000 EdgesBipt[41][15]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {6,35}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB41.16 (= ET41.21) // Bipartite(5,36) Valencies [36,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 44639199214788146096159933778100224000000000 EdgesBipt[41][16]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {3,18}, {3,17}, {3,7}, {4,38}, {3,34}, {2,25}, {5,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {3,26}, {5,28}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {5,6}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB41.17 (= ET41.22) // Bipartite(4,37) Valencies [37,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 330330074189432281111583509957941657600000000 EdgesBipt[41][17]:={ {1,15}, {4,35}, {3,15}, {2,38}, {1,11}, {4,14}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {1,40}, {2,20}, {4,40}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {2,34}, {3,27}, {4,30}, {1,19}, {2,40}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {4,38}, {2,24}, {4,11}, {2,27}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {1,41}, {4,32}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {4,9}, {2,7}, {4,34}, {4,41}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB41.18 (= ET41.23) // Bipartite(3,38) Valencies [38,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3138135704799606670560043344600445747200000000 EdgesBipt[41][18]:={ {1,15}, {3,15}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {2,11}, {1,40}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {2,27}, {3,4}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {1,41}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB41.19 (= ET41.24) // Bipartite(2,39) Valencies [39,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 40795764162394886717280563479805794713600000000 EdgesBipt[41][19]:={ {2,11}, {1,26}, {2,14}, {1,14}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,40}, {1,10}, {2,39}, {1,39}, {1,36}, {1,6}, {2,40}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {1,38}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,38}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {1,28}, {2,19}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {2,41}, {1,41}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB41.20 (= ET41.25) // Bipartite(1,40) Valencies [40,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 815915283247897734345611269596115894272000000000 EdgesBipt[41][20]:={ {1,4}, {1,20}, {1,3}, {1,34}, {1,37}, {1,30}, {1,14}, {1,23}, {1,40}, {1,39}, {1,33}, {1,41}, {1,24}, {1,38}, {1,7}, {1,27}, {1,29}, {1,35}, {1,5}, {1,15}, {1,22}, {1,28}, {1,16}, {1,10}, {1,12}, {1,13}, {1,17}, {1,2}, {1,11}, {1,36}, {1,19}, {1,18}, {1,25}, {1,32}, {1,21}, {1,9}, {1,26}, {1,31}, {1,6}, {1,8} }; // Total number of connected ET bipartite graphs of order 41 is 20 // ******************************************************************************************** // Order 42 // ETB42.1 (= ET42.1) // Bipartite(21,21) Valencies [2,2] // Diameter 21 Girth 42 // Twin-free VT AT // Automorphism group of order 84 EdgesBipt[42][1]:={ {4,40}, {19,32}, {13,24}, {18,37}, {8,30}, {5,25}, {7,36}, {3,28}, {20,25}, {16,34}, {7,41}, {18,29}, {5,26}, {17,28}, {11,40}, {8,22}, {6,31}, {21,38}, {14,33}, {1,22}, {14,41}, {10,31}, {9,35}, {13,27}, {2,42}, {2,35}, {20,33}, {15,38}, {9,27}, {6,39}, {11,37}, {21,39}, {15,30}, {12,26}, {19,24}, {1,29}, {10,23}, {16,42}, {3,36}, {17,23}, {4,32}, {12,34} }; // ETB42.2 (= ET42.2) // Bipartite(21,21) Valencies [3,3] // Diameter 6 Girth 6 // Twin-free VT AT // Automorphism group of order 126 EdgesBipt[42][2]:={ {12,38}, {18,35}, {3,40}, {10,40}, {17,34}, {2,26}, {21,36}, {4,36}, {13,31}, {2,30}, {11,25}, {7,34}, {21,33}, {9,31}, {20,23}, {1,33}, {16,23}, {5,40}, {10,32}, {15,24}, {9,38}, {11,27}, {18,39}, {15,29}, {19,35}, {3,37}, {8,29}, {20,24}, {18,41}, {13,32}, {5,31}, {20,37}, {19,28}, {8,33}, {10,34}, {19,27}, {17,36}, {6,42}, {12,24}, {13,22}, {12,26}, {8,41}, {16,22}, {16,38}, {3,39}, {14,42}, {2,28}, {14,27}, {6,25}, {11,41}, {17,30}, {15,39}, {5,35}, {4,26}, {1,22}, {7,42}, {9,28}, {21,32}, {7,37}, {1,25}, {6,23}, {14,30}, {4,29} }; // ETB42.3 (= ET42.3) // Bipartite(14,28) Valencies [4,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[42][3]:={ {5,32}, {13,28}, {4,36}, {2,32}, {6,33}, {14,18}, {11,25}, {8,38}, {1,33}, {8,16}, {6,26}, {2,39}, {8,21}, {1,39}, {9,38}, {10,30}, {13,26}, {14,34}, {11,37}, {6,40}, {3,29}, {6,15}, {3,20}, {13,18}, {5,16}, {5,23}, {8,37}, {10,31}, {2,20}, {4,27}, {9,36}, {12,41}, {3,19}, {7,15}, {11,40}, {9,41}, {10,24}, {1,27}, {4,28}, {13,21}, {14,42}, {10,19}, {3,34}, {12,22}, {14,23}, {12,35}, {5,35}, {7,17}, {9,30}, {1,22}, {7,42}, {2,25}, {12,17}, {11,31}, {7,24}, {4,29} }; // ETB42.4 (= ET42.4) // Bipartite(14,28) Valencies [4,2] // Diameter 7 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1792 EdgesBipt[42][4]:={ {11,30}, {4,24}, {4,41}, {14,18}, {5,29}, {7,34}, {13,16}, {5,27}, {11,28}, {2,39}, {3,21}, {4,40}, {13,25}, {10,30}, {1,20}, {3,23}, {12,40}, {3,24}, {10,33}, {6,36}, {6,32}, {11,21}, {8,37}, {7,32}, {5,31}, {14,36}, {2,38}, {4,27}, {9,33}, {10,41}, {7,15}, {6,42}, {1,18}, {3,26}, {9,35}, {8,34}, {8,35}, {13,22}, {7,20}, {1,17}, {12,25}, {13,15}, {2,19}, {12,42}, {2,23}, {14,37}, {1,19}, {10,38}, {9,26}, {12,28}, {11,31}, {6,29}, {5,22}, {14,16}, {9,17}, {8,39} }; // ETB42.5 (= ET42.5) // Bipartite(14,28) Valencies [4,2] // Diameter 14 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 458752 EdgesBipt[42][5]:={ {12,20}, {8,19}, {1,29}, {2,30}, {9,25}, {2,29}, {5,27}, {11,24}, {3,42}, {6,31}, {5,40}, {3,27}, {9,38}, {11,37}, {4,31}, {11,23}, {11,38}, {4,16}, {10,33}, {6,32}, {4,30}, {8,32}, {2,16}, {1,15}, {9,24}, {3,28}, {7,40}, {8,33}, {10,34}, {14,36}, {14,22}, {13,36}, {14,35}, {12,34}, {2,15}, {4,17}, {7,25}, {13,22}, {13,23}, {6,18}, {14,21}, {10,19}, {1,28}, {1,42}, {3,41}, {12,35}, {6,17}, {7,39}, {5,26}, {8,18}, {5,41}, {13,37}, {9,39}, {10,20}, {12,21}, {7,26} }; // ETB42.6 (= ET42.6) // Bipartite(18,24) Valencies [4,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[42][6]:={ {3,32}, {1,26}, {4,24}, {8,19}, {5,42}, {6,34}, {14,31}, {4,37}, {8,31}, {2,30}, {11,25}, {13,34}, {7,23}, {2,40}, {11,20}, {10,32}, {3,33}, {18,39}, {11,37}, {2,36}, {17,35}, {3,20}, {11,42}, {2,21}, {7,36}, {5,23}, {13,32}, {1,38}, {8,40}, {5,31}, {12,39}, {17,20}, {4,27}, {15,30}, {9,27}, {9,33}, {10,41}, {17,38}, {18,19}, {16,21}, {15,25}, {12,29}, {7,38}, {8,34}, {10,24}, {13,23}, {14,33}, {3,39}, {18,37}, {12,22}, {7,28}, {15,41}, {17,40}, {12,35}, {6,25}, {14,24}, {1,19}, {9,30}, {16,42}, {10,21}, {9,26}, {13,27}, {1,41}, {6,28}, {4,35}, {14,28}, {6,29}, {5,22}, {16,29}, {18,36}, {15,22}, {16,26} }; // ETB42.7 (= ET42.7) // Bipartite(18,24) Valencies [4,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[42][7]:={ {3,22}, {15,35}, {15,32}, {17,41}, {12,27}, {5,36}, {8,28}, {10,40}, {6,39}, {5,24}, {9,21}, {7,31}, {12,33}, {1,37}, {8,23}, {16,23}, {11,20}, {4,40}, {13,25}, {16,31}, {15,24}, {18,39}, {18,34}, {6,30}, {11,37}, {4,31}, {3,23}, {2,33}, {6,32}, {5,21}, {16,27}, {16,36}, {9,29}, {2,20}, {10,26}, {13,42}, {14,22}, {17,19}, {2,38}, {3,25}, {11,32}, {6,27}, {12,24}, {13,20}, {14,40}, {7,38}, {7,35}, {8,34}, {15,28}, {11,36}, {8,41}, {4,28}, {10,39}, {7,19}, {18,21}, {14,33}, {9,22}, {1,42}, {12,42}, {17,30}, {5,26}, {13,29}, {18,38}, {14,37}, {1,19}, {9,30}, {2,41}, {1,34}, {10,25}, {17,26}, {3,35}, {4,29} }; // ETB42.8 (= ET42.8) // Bipartite(21,21) Valencies [4,4] // Diameter 7 Girth 4 // Twin-free VT AT // Automorphism group of order 168 EdgesBipt[42][8]:={ {4,35}, {9,40}, {7,39}, {13,29}, {8,31}, {4,42}, {10,22}, {14,34}, {3,29}, {6,36}, {16,30}, {18,39}, {5,35}, {12,22}, {5,24}, {19,27}, {9,39}, {7,27}, {11,38}, {1,32}, {13,42}, {14,35}, {15,29}, {3,34}, {9,31}, {12,25}, {16,33}, {21,28}, {20,40}, {1,29}, {18,24}, {19,37}, {17,31}, {5,33}, {15,34}, {20,38}, {9,27}, {2,23}, {17,24}, {7,26}, {21,38}, {1,22}, {2,32}, {4,33}, {10,41}, {15,36}, {16,26}, {3,22}, {13,35}, {8,26}, {4,30}, {2,34}, {12,28}, {17,33}, {8,40}, {20,37}, {11,41}, {12,38}, {14,36}, {1,23}, {15,42}, {6,30}, {10,28}, {14,23}, {5,36}, {11,25}, {6,42}, {11,32}, {18,30}, {3,25}, {13,23}, {10,32}, {7,37}, {19,41}, {21,40}, {2,25}, {18,31}, {8,37}, {17,26}, {6,24}, {19,28}, {16,39}, {20,41}, {21,27} }; // ETB42.9 (= ET42.9) // Bipartite(21,21) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 336 EdgesBipt[42][9]:={ {12,38}, {15,32}, {5,36}, {8,28}, {6,37}, {17,34}, {2,37}, {5,37}, {21,36}, {4,36}, {19,26}, {5,29}, {13,41}, {21,33}, {8,38}, {1,33}, {14,39}, {18,42}, {4,40}, {3,27}, {3,33}, {11,29}, {14,41}, {18,34}, {14,34}, {15,23}, {8,24}, {3,37}, {6,40}, {12,31}, {17,35}, {9,32}, {17,42}, {8,27}, {13,32}, {7,32}, {16,30}, {5,25}, {2,31}, {7,40}, {9,40}, {21,30}, {10,26}, {18,25}, {13,39}, {20,28}, {9,27}, {10,41}, {21,28}, {18,30}, {3,31}, {12,29}, {16,25}, {16,35}, {7,38}, {13,22}, {1,27}, {4,22}, {4,25}, {2,42}, {6,22}, {14,23}, {15,34}, {20,26}, {1,42}, {12,35}, {19,30}, {11,41}, {2,23}, {11,26}, {10,38}, {9,28}, {1,23}, {16,24}, {20,33}, {20,39}, {11,31}, {6,29}, {10,35}, {7,24}, {17,24}, {19,39}, {15,22}, {19,36} }; // ETB42.10 (= ET42.10) // Bipartite(21,21) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[42][10]:={ {20,42}, {6,41}, {3,40}, {6,37}, {5,32}, {18,22}, {14,31}, {9,25}, {17,39}, {4,34}, {7,23}, {16,41}, {20,23}, {20,35}, {11,28}, {2,39}, {16,23}, {18,42}, {13,25}, {11,29}, {18,33}, {12,32}, {10,30}, {12,30}, {15,38}, {3,38}, {2,36}, {4,31}, {7,33}, {6,36}, {9,37}, {3,29}, {17,35}, {4,30}, {8,27}, {5,23}, {1,38}, {21,27}, {4,33}, {8,40}, {5,25}, {21,30}, {14,22}, {8,36}, {18,25}, {11,32}, {10,41}, {19,38}, {21,28}, {12,37}, {14,40}, {3,26}, {10,29}, {8,34}, {16,22}, {1,27}, {19,33}, {2,28}, {2,42}, {17,31}, {10,42}, {15,34}, {19,32}, {15,41}, {21,26}, {12,35}, {13,24}, {16,28}, {15,39}, {5,34}, {13,29}, {14,37}, {9,26}, {13,27}, {1,22}, {1,35}, {9,39}, {20,40}, {11,31}, {7,24}, {17,24}, {6,24}, {19,36}, {7,26} }; // ETB42.11 (= ET42.13) // Bipartite(12,30) Valencies [5,2] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[42][11]:={ {8,19}, {11,15}, {8,20}, {4,37}, {4,41}, {2,32}, {1,29}, {6,33}, {9,25}, {2,29}, {11,17}, {4,34}, {7,34}, {7,23}, {9,21}, {8,38}, {5,27}, {6,30}, {1,20}, {5,15}, {2,36}, {3,23}, {12,40}, {6,40}, {10,33}, {6,32}, {11,21}, {5,16}, {6,16}, {9,24}, {10,31}, {2,31}, {4,38}, {8,36}, {3,25}, {12,41}, {3,14}, {12,24}, {1,18}, {3,26}, {12,26}, {11,13}, {10,39}, {2,27}, {7,19}, {10,37}, {9,22}, {10,42}, {1,28}, {7,28}, {5,18}, {12,42}, {1,13}, {7,17}, {9,30}, {4,35}, {11,14}, {5,22}, {8,39}, {3,35} }; // ETB42.12 (= ET42.14) // Bipartite(12,30) Valencies [5,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[42][12]:={ {2,14}, {12,20}, {5,36}, {6,34}, {9,23}, {2,37}, {4,41}, {9,20}, {11,25}, {1,32}, {2,24}, {8,23}, {11,24}, {4,40}, {9,38}, {6,30}, {4,16}, {7,33}, {10,33}, {3,29}, {6,15}, {11,42}, {5,16}, {4,32}, {10,13}, {5,31}, {1,15}, {10,31}, {3,28}, {8,36}, {2,38}, {1,21}, {3,30}, {11,40}, {3,14}, {6,42}, {1,18}, {3,26}, {9,41}, {12,29}, {1,27}, {4,28}, {11,13}, {2,27}, {7,19}, {12,25}, {6,19}, {9,22}, {8,26}, {12,35}, {7,39}, {5,34}, {5,35}, {8,18}, {7,17}, {10,22}, {10,21}, {7,37}, {12,17}, {8,39} }; // ETB42.13 (= ET42.15) // Bipartite(21,21) Valencies [5,5] // Diameter 3 Girth 6 // Twin-free VT AT // Automorphism group of order 241920 EdgesBipt[42][13]:={ {14,39}, {16,34}, {13,41}, {14,25}, {21,39}, {3,29}, {17,27}, {3,38}, {9,42}, {6,36}, {7,40}, {10,27}, {6,41}, {11,29}, {10,38}, {13,24}, {11,42}, {12,40}, {12,31}, {20,23}, {19,40}, {5,41}, {6,32}, {17,35}, {2,33}, {21,26}, {7,27}, {21,35}, {7,23}, {8,34}, {19,33}, {2,28}, {12,25}, {5,26}, {6,22}, {14,27}, {1,29}, {8,22}, {1,34}, {15,39}, {5,23}, {15,34}, {10,36}, {2,23}, {8,33}, {19,26}, {1,36}, {3,40}, {2,36}, {4,33}, {16,35}, {3,22}, {10,37}, {9,23}, {11,28}, {4,31}, {4,30}, {7,30}, {17,33}, {12,35}, {1,26}, {13,40}, {18,27}, {20,37}, {4,38}, {14,32}, {21,30}, {5,38}, {15,31}, {15,42}, {6,30}, {9,35}, {18,28}, {2,39}, {20,32}, {9,24}, {11,25}, {12,36}, {19,42}, {13,28}, {11,30}, {21,37}, {3,39}, {10,42}, {17,41}, {15,41}, {16,28}, {8,25}, {17,29}, {20,29}, {18,31}, {8,37}, {20,31}, {18,22}, {16,38}, {19,32}, {7,34}, {13,37}, {16,32}, {5,25}, {14,24}, {4,24}, {18,26}, {1,24}, {9,22} }; // ETB42.14 (= ET42.16) // Bipartite(14,28) Valencies [6,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1344 EdgesBipt[42][14]:={ {3,22}, {12,38}, {6,41}, {12,20}, {5,42}, {8,19}, {9,19}, {10,27}, {8,20}, {4,37}, {4,41}, {6,39}, {5,24}, {4,36}, {1,29}, {5,29}, {1,32}, {7,23}, {9,21}, {9,16}, {11,28}, {2,39}, {14,39}, {4,40}, {10,32}, {13,25}, {9,38}, {11,27}, {10,30}, {3,38}, {2,36}, {8,24}, {3,37}, {11,23}, {12,40}, {4,16}, {12,31}, {11,42}, {7,32}, {2,31}, {10,31}, {1,16}, {10,26}, {6,20}, {13,33}, {8,36}, {9,33}, {10,41}, {14,35}, {7,15}, {5,17}, {12,23}, {2,15}, {6,21}, {3,18}, {4,17}, {14,40}, {7,22}, {7,21}, {8,22}, {6,18}, {12,25}, {14,33}, {13,15}, {2,28}, {14,42}, {3,34}, {1,28}, {13,24}, {5,26}, {5,34}, {2,34}, {7,17}, {9,26}, {13,27}, {1,35}, {13,37}, {8,30}, {11,19}, {11,18}, {6,29}, {1,25}, {14,30}, {3,35} }; // ETB42.15 (= ET42.17) // Bipartite(21,21) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 252 EdgesBipt[42][15]:={ {14,39}, {13,25}, {7,42}, {5,32}, {6,39}, {13,29}, {12,26}, {4,42}, {18,40}, {21,31}, {11,23}, {21,39}, {14,34}, {3,29}, {11,33}, {4,27}, {16,30}, {10,27}, {6,41}, {7,24}, {10,38}, {6,23}, {1,40}, {1,25}, {2,37}, {18,37}, {1,38}, {2,33}, {7,31}, {9,39}, {6,25}, {15,40}, {21,25}, {11,22}, {19,23}, {14,35}, {13,38}, {2,28}, {3,34}, {16,41}, {4,26}, {8,41}, {21,28}, {20,40}, {5,37}, {3,41}, {9,38}, {17,23}, {10,34}, {20,35}, {17,24}, {19,30}, {1,22}, {14,30}, {2,32}, {4,33}, {15,36}, {10,31}, {16,35}, {7,25}, {18,25}, {20,24}, {11,39}, {5,29}, {19,29}, {3,27}, {4,30}, {14,26}, {21,33}, {12,28}, {15,33}, {17,33}, {12,29}, {1,35}, {11,37}, {8,40}, {18,27}, {17,36}, {12,24}, {4,38}, {2,24}, {5,22}, {15,31}, {15,42}, {8,27}, {13,32}, {14,37}, {8,32}, {9,28}, {11,40}, {20,32}, {5,36}, {5,31}, {19,42}, {13,28}, {8,23}, {16,22}, {1,42}, {9,26}, {18,29}, {19,22}, {20,26}, {19,34}, {3,39}, {17,34}, {12,42}, {15,41}, {16,28}, {13,23}, {10,32}, {7,37}, {17,38}, {12,41}, {3,36}, {6,35}, {6,24}, {8,30}, {20,36}, {9,36}, {10,35}, {7,34}, {16,31}, {2,30}, {18,26}, {9,22}, {21,27} }; // ETB42.16 (= ET42.18) // Bipartite(21,21) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 252 EdgesBipt[42][16]:={ {16,25}, {13,41}, {7,42}, {7,39}, {18,41}, {13,29}, {8,31}, {17,39}, {10,22}, {21,31}, {21,39}, {9,30}, {3,38}, {5,30}, {6,36}, {1,31}, {6,41}, {5,35}, {11,42}, {20,23}, {10,40}, {18,37}, {12,33}, {1,32}, {6,40}, {9,37}, {8,34}, {6,34}, {5,26}, {18,24}, {20,25}, {12,30}, {1,34}, {17,23}, {15,22}, {2,41}, {10,36}, {19,30}, {21,38}, {10,25}, {1,22}, {14,30}, {6,33}, {12,34}, {15,36}, {7,29}, {4,29}, {16,26}, {16,35}, {10,37}, {13,35}, {8,26}, {14,38}, {3,23}, {11,39}, {4,31}, {19,29}, {2,42}, {18,34}, {14,26}, {21,33}, {2,40}, {15,33}, {17,33}, {12,35}, {9,25}, {4,25}, {10,29}, {1,35}, {11,26}, {8,40}, {18,27}, {7,35}, {4,38}, {12,23}, {14,32}, {9,33}, {11,41}, {12,38}, {5,22}, {2,27}, {17,22}, {15,42}, {5,27}, {8,27}, {14,37}, {9,28}, {3,28}, {11,31}, {20,32}, {3,24}, {9,24}, {19,42}, {13,28}, {8,23}, {18,29}, {19,22}, {20,26}, {19,34}, {4,32}, {21,37}, {3,39}, {1,37}, {15,27}, {16,28}, {7,32}, {13,23}, {16,42}, {14,40}, {2,25}, {3,36}, {16,38}, {17,32}, {20,36}, {13,31}, {7,36}, {17,40}, {11,24}, {5,39}, {19,28}, {2,30}, {15,24}, {4,24}, {20,41}, {6,28}, {21,27} }; // ETB42.17 (= ET42.19) // Bipartite(21,21) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2016 EdgesBipt[42][17]:={ {9,40}, {13,29}, {16,36}, {8,31}, {12,26}, {17,39}, {2,38}, {11,23}, {14,34}, {7,40}, {19,39}, {6,41}, {5,35}, {1,40}, {13,24}, {5,34}, {12,40}, {5,24}, {10,40}, {1,38}, {19,27}, {17,35}, {7,31}, {12,33}, {21,26}, {13,27}, {14,42}, {1,32}, {9,37}, {19,33}, {20,42}, {16,33}, {6,34}, {6,22}, {15,28}, {2,29}, {10,30}, {5,37}, {1,29}, {20,25}, {12,30}, {11,34}, {17,31}, {15,34}, {2,23}, {7,41}, {8,28}, {18,33}, {1,22}, {2,32}, {21,41}, {3,40}, {12,34}, {10,39}, {15,36}, {7,25}, {3,22}, {14,28}, {9,23}, {10,24}, {6,37}, {11,39}, {3,23}, {19,29}, {2,42}, {3,27}, {4,30}, {10,33}, {21,33}, {2,35}, {13,30}, {4,25}, {11,26}, {20,37}, {18,35}, {4,38}, {12,23}, {3,42}, {5,38}, {3,35}, {15,42}, {6,30}, {18,28}, {14,31}, {8,32}, {9,28}, {4,22}, {8,23}, {16,22}, {20,26}, {21,37}, {1,27}, {15,27}, {11,32}, {8,25}, {7,32}, {20,29}, {10,32}, {13,36}, {17,38}, {19,41}, {14,29}, {21,42}, {8,37}, {9,41}, {17,26}, {18,36}, {20,39}, {6,35}, {16,38}, {18,22}, {17,28}, {13,31}, {9,36}, {19,25}, {4,41}, {15,30}, {7,36}, {11,24}, {16,31}, {16,39}, {5,25}, {14,24}, {4,24}, {18,26}, {21,27} }; // ETB42.18 (= ET42.20) // Bipartite(21,21) Valencies [6,6] // Diameter 7 Girth 4 // Has twins VT AT // Automorphism group of order 2194196594688 EdgesBipt[42][18]:={ {14,39}, {13,41}, {20,27}, {5,32}, {7,39}, {9,40}, {18,41}, {13,29}, {14,25}, {8,31}, {8,24}, {18,40}, {12,39}, {21,39}, {9,30}, {5,42}, {3,38}, {6,36}, {11,33}, {1,31}, {4,27}, {16,30}, {8,36}, {19,39}, {6,41}, {5,35}, {10,38}, {4,40}, {2,37}, {13,34}, {1,38}, {2,33}, {17,35}, {16,23}, {16,40}, {13,27}, {21,25}, {9,37}, {17,42}, {7,23}, {15,29}, {12,25}, {3,31}, {16,33}, {6,34}, {4,26}, {6,22}, {1,29}, {8,22}, {11,34}, {17,31}, {15,22}, {2,23}, {17,24}, {1,36}, {18,33}, {1,22}, {14,30}, {4,33}, {15,36}, {10,31}, {16,26}, {7,25}, {9,23}, {10,24}, {18,34}, {2,40}, {12,28}, {7,30}, {5,28}, {12,35}, {11,26}, {13,22}, {6,29}, {18,27}, {14,32}, {9,33}, {21,30}, {11,41}, {3,42}, {15,31}, {3,35}, {10,28}, {8,38}, {14,37}, {14,23}, {11,40}, {3,28}, {3,24}, {19,42}, {21,23}, {9,26}, {21,32}, {11,27}, {21,37}, {10,42}, {12,42}, {7,32}, {20,29}, {2,26}, {13,36}, {20,34}, {7,37}, {15,38}, {17,38}, {12,32}, {16,37}, {17,28}, {20,36}, {19,32}, {4,34}, {10,35}, {6,27}, {19,25}, {19,35}, {20,22}, {4,41}, {5,39}, {19,28}, {2,30}, {15,24}, {5,25}, {18,26}, {20,41}, {1,24}, {8,29} }; // ETB42.19 (= ET42.21) // Bipartite(21,21) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1410877440 EdgesBipt[42][19]:={ {14,39}, {7,39}, {18,41}, {8,31}, {17,39}, {2,38}, {4,42}, {21,31}, {21,39}, {9,30}, {1,31}, {4,27}, {7,40}, {16,30}, {11,29}, {11,42}, {5,34}, {1,25}, {12,40}, {2,37}, {18,42}, {19,40}, {1,38}, {19,27}, {17,35}, {7,31}, {12,33}, {16,23}, {21,26}, {3,30}, {9,37}, {12,27}, {13,42}, {7,23}, {8,34}, {19,33}, {20,42}, {2,28}, {8,41}, {6,22}, {2,29}, {10,30}, {18,24}, {8,22}, {1,34}, {9,38}, {5,33}, {17,30}, {15,34}, {20,33}, {15,22}, {20,35}, {10,36}, {2,23}, {13,33}, {17,24}, {7,26}, {13,26}, {10,25}, {15,25}, {1,22}, {6,33}, {12,34}, {10,39}, {4,29}, {9,23}, {10,24}, {13,35}, {6,37}, {16,29}, {14,26}, {6,26}, {12,28}, {5,28}, {13,22}, {18,27}, {17,36}, {20,37}, {14,32}, {11,41}, {18,32}, {15,31}, {3,35}, {5,27}, {14,31}, {8,38}, {14,23}, {9,28}, {5,36}, {3,24}, {19,36}, {12,36}, {21,23}, {21,32}, {18,29}, {1,41}, {20,26}, {11,27}, {19,34}, {4,32}, {6,42}, {3,39}, {11,32}, {15,41}, {16,28}, {8,25}, {3,25}, {7,32}, {9,29}, {15,38}, {21,40}, {14,40}, {3,36}, {6,35}, {16,38}, {16,37}, {10,35}, {20,22}, {4,41}, {13,37}, {11,24}, {19,28}, {2,30}, {4,24}, {5,40}, {17,25} }; // ETB42.20 (= ET42.23) // Bipartite(14,28) Valencies [8,4] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8218956791808 EdgesBipt[42][20]:={ {1,15}, {4,35}, {7,19}, {13,25}, {13,41}, {5,32}, {6,39}, {3,15}, {4,42}, {10,22}, {12,39}, {6,18}, {9,30}, {3,29}, {3,38}, {5,30}, {9,42}, {11,33}, {12,16}, {7,40}, {13,18}, {8,36}, {6,41}, {7,24}, {10,38}, {4,40}, {14,19}, {11,42}, {7,38}, {7,33}, {2,37}, {13,34}, {6,32}, {7,31}, {6,25}, {13,27}, {9,21}, {12,18}, {9,37}, {8,34}, {2,28}, {12,25}, {3,31}, {6,34}, {4,26}, {8,41}, {13,20}, {5,37}, {1,29}, {8,22}, {8,15}, {12,30}, {1,34}, {14,33}, {5,23}, {10,36}, {2,23}, {7,26}, {1,36}, {2,16}, {1,22}, {4,33}, {4,28}, {10,15}, {10,31}, {3,22}, {9,23}, {10,24}, {14,38}, {11,28}, {2,42}, {14,26}, {4,21}, {2,35}, {10,29}, {11,26}, {12,23}, {14,17}, {2,21}, {8,27}, {9,35}, {11,19}, {14,31}, {13,32}, {11,40}, {9,28}, {3,24}, {8,20}, {11,21}, {6,20}, {10,17}, {1,41}, {1,20}, {1,27}, {12,32}, {14,40}, {3,36}, {3,17}, {5,18}, {6,27}, {9,16}, {7,17}, {5,16}, {5,39}, {12,37}, {11,35}, {2,30}, {5,25}, {4,19}, {14,24}, {8,29}, {13,39} }; // ETB42.21 (= ET42.24) // Bipartite(14,28) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5505024 EdgesBipt[42][21]:={ {1,15}, {7,19}, {6,39}, {7,39}, {9,40}, {10,21}, {13,29}, {3,15}, {8,31}, {12,26}, {3,29}, {3,38}, {5,30}, {1,31}, {12,16}, {13,18}, {8,36}, {5,35}, {1,40}, {1,25}, {12,40}, {7,33}, {13,34}, {2,33}, {6,25}, {9,21}, {12,18}, {14,42}, {11,22}, {12,27}, {13,42}, {7,23}, {8,34}, {2,28}, {2,19}, {10,18}, {13,20}, {5,21}, {10,23}, {1,29}, {8,22}, {3,41}, {12,30}, {9,38}, {5,33}, {2,41}, {2,31}, {1,17}, {4,33}, {2,17}, {9,34}, {10,31}, {7,25}, {10,37}, {14,28}, {5,19}, {5,15}, {7,20}, {3,23}, {8,17}, {11,39}, {5,29}, {2,42}, {3,27}, {14,26}, {4,36}, {1,26}, {4,38}, {11,41}, {11,36}, {2,27}, {14,36}, {14,22}, {6,30}, {9,35}, {1,39}, {6,38}, {13,32}, {14,23}, {14,37}, {4,22}, {8,16}, {3,24}, {9,24}, {11,25}, {13,28}, {8,20}, {11,21}, {9,26}, {6,16}, {10,17}, {11,27}, {4,32}, {6,42}, {4,18}, {10,32}, {7,37}, {13,15}, {12,41}, {12,32}, {14,40}, {3,37}, {6,24}, {8,30}, {10,35}, {7,34}, {5,16}, {11,35}, {4,19}, {4,24}, {9,20}, {6,28} }; // ETB42.22 (= ET42.25) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 864 EdgesBipt[42][22]:={ {16,41}, {2,24}, {1,20}, {2,33}, {17,35}, {12,29}, {11,35}, {5,34}, {14,19}, {16,33}, {3,22}, {17,38}, {10,37}, {16,40}, {5,38}, {7,38}, {4,29}, {8,33}, {1,27}, {12,38}, {7,41}, {14,38}, {4,31}, {12,41}, {1,19}, {7,34}, {1,21}, {8,25}, {1,30}, {5,32}, {16,23}, {8,27}, {2,42}, {18,34}, {10,22}, {11,28}, {18,37}, {10,30}, {6,29}, {15,29}, {14,23}, {11,33}, {6,31}, {5,22}, {14,36}, {15,32}, {16,24}, {9,26}, {2,38}, {14,40}, {4,42}, {9,41}, {2,39}, {17,39}, {17,23}, {15,26}, {1,31}, {10,28}, {17,33}, {3,20}, {9,42}, {16,37}, {10,40}, {7,30}, {18,30}, {11,21}, {4,35}, {9,25}, {15,35}, {12,25}, {8,22}, {15,34}, {18,24}, {15,20}, {13,28}, {9,20}, {18,27}, {18,36}, {6,23}, {3,26}, {17,31}, {5,42}, {12,26}, {7,31}, {17,28}, {8,32}, {3,19}, {13,24}, {6,27}, {12,19}, {12,30}, {3,23}, {8,23}, {18,25}, {10,32}, {5,36}, {3,21}, {6,19}, {6,41}, {13,27}, {10,39}, {1,35}, {13,42}, {14,25}, {16,21}, {7,28}, {4,37}, {4,40}, {16,36}, {11,37}, {3,24}, {2,29}, {11,27}, {2,22}, {4,34}, {18,22}, {11,32}, {14,32}, {13,41}, {2,40}, {9,33}, {9,36}, {5,26}, {10,19}, {4,25}, {12,24}, {8,20}, {3,28}, {14,35}, {15,39}, {17,26}, {6,39}, {6,37}, {13,34}, {13,39}, {5,21}, {15,30}, {13,20}, {9,31}, {11,42}, {7,40}, {7,21}, {8,29}, {1,36} }; // ETB42.23 (= ET42.26) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[42][23]:={ {3,33}, {16,41}, {10,25}, {9,28}, {5,34}, {13,40}, {11,25}, {8,30}, {7,38}, {8,42}, {16,31}, {18,38}, {8,33}, {3,25}, {10,23}, {12,38}, {17,34}, {16,19}, {4,19}, {12,39}, {1,19}, {14,31}, {2,26}, {7,34}, {17,24}, {12,35}, {7,36}, {2,41}, {12,34}, {1,30}, {9,35}, {4,23}, {8,31}, {12,37}, {16,29}, {15,25}, {18,42}, {10,30}, {6,21}, {2,25}, {11,33}, {6,40}, {5,22}, {4,22}, {9,29}, {7,20}, {17,37}, {14,21}, {9,26}, {15,40}, {12,36}, {5,29}, {8,41}, {4,42}, {2,39}, {17,39}, {15,26}, {1,31}, {10,41}, {11,22}, {14,24}, {10,31}, {2,20}, {16,37}, {10,40}, {1,29}, {3,39}, {3,32}, {4,35}, {13,33}, {6,33}, {2,32}, {16,32}, {11,23}, {1,23}, {6,24}, {5,30}, {15,35}, {9,37}, {17,27}, {8,22}, {15,20}, {13,28}, {9,20}, {18,26}, {1,28}, {14,41}, {3,27}, {18,36}, {18,33}, {3,26}, {5,28}, {13,36}, {5,42}, {12,26}, {13,30}, {4,36}, {12,27}, {14,22}, {5,31}, {11,24}, {6,27}, {8,40}, {14,34}, {10,32}, {18,25}, {17,19}, {5,36}, {7,29}, {6,41}, {18,23}, {1,35}, {13,42}, {1,37}, {16,21}, {7,28}, {4,37}, {2,21}, {3,24}, {4,34}, {11,32}, {8,24}, {6,38}, {2,40}, {15,28}, {16,39}, {9,39}, {13,38}, {11,19}, {10,19}, {3,38}, {7,27}, {15,23}, {6,20}, {17,22}, {15,30}, {13,20}, {17,32}, {11,42}, {9,21}, {18,35}, {14,27}, {7,21}, {14,29} }; // ETB42.24 (= ET42.27) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[42][24]:={ {10,19}, {7,19}, {5,32}, {7,39}, {9,40}, {14,25}, {16,36}, {8,24}, {2,38}, {4,42}, {11,23}, {3,29}, {2,22}, {5,30}, {1,31}, {10,27}, {11,29}, {6,23}, {1,40}, {5,34}, {12,31}, {18,42}, {3,32}, {13,34}, {12,33}, {16,40}, {7,27}, {9,21}, {3,30}, {14,42}, {6,40}, {11,22}, {8,42}, {18,23}, {7,23}, {18,21}, {13,38}, {3,34}, {3,31}, {5,26}, {13,20}, {15,28}, {14,27}, {12,30}, {11,34}, {16,21}, {9,38}, {17,30}, {4,37}, {4,20}, {15,22}, {2,41}, {10,36}, {10,25}, {15,25}, {2,36}, {10,41}, {10,39}, {7,29}, {10,31}, {16,35}, {7,25}, {16,19}, {7,20}, {8,26}, {6,37}, {5,29}, {11,28}, {10,33}, {14,26}, {1,19}, {4,36}, {4,21}, {15,33}, {17,33}, {13,30}, {1,35}, {13,40}, {8,40}, {15,26}, {18,35}, {14,32}, {6,19}, {17,22}, {18,32}, {5,38}, {3,35}, {2,21}, {9,35}, {8,38}, {2,39}, {14,23}, {8,32}, {9,28}, {4,22}, {3,28}, {17,37}, {9,24}, {12,36}, {11,21}, {9,26}, {6,20}, {18,29}, {6,42}, {17,34}, {1,27}, {12,42}, {15,27}, {17,41}, {15,41}, {2,26}, {11,20}, {12,41}, {1,33}, {14,29}, {12,32}, {2,25}, {1,28}, {18,31}, {8,37}, {18,36}, {6,24}, {16,38}, {8,30}, {17,28}, {17,20}, {6,27}, {4,41}, {13,19}, {3,33}, {7,34}, {13,37}, {4,23}, {11,35}, {5,39}, {12,37}, {16,31}, {16,39}, {15,24}, {5,25}, {14,24}, {1,24}, {9,22}, {13,39} }; // ETB42.25 (= ET42.28) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[42][25]:={ {7,42}, {16,34}, {5,32}, {9,40}, {18,41}, {15,23}, {16,36}, {8,39}, {17,39}, {10,22}, {12,19}, {3,29}, {1,31}, {7,40}, {6,41}, {5,35}, {14,19}, {11,42}, {7,38}, {13,34}, {1,38}, {2,33}, {17,35}, {7,31}, {12,33}, {16,40}, {9,19}, {13,27}, {9,21}, {3,30}, {14,42}, {6,40}, {12,27}, {14,35}, {18,21}, {13,38}, {2,28}, {3,34}, {14,20}, {16,33}, {6,34}, {8,41}, {6,22}, {5,21}, {2,29}, {10,30}, {8,22}, {17,31}, {9,38}, {4,37}, {4,20}, {15,22}, {9,27}, {10,36}, {13,33}, {17,24}, {8,33}, {8,28}, {4,39}, {13,26}, {15,25}, {18,38}, {14,30}, {2,32}, {3,40}, {12,34}, {9,34}, {7,29}, {10,39}, {7,25}, {3,22}, {5,19}, {10,24}, {18,25}, {8,26}, {2,42}, {12,28}, {15,19}, {4,36}, {4,21}, {2,35}, {5,28}, {12,35}, {11,37}, {18,27}, {4,38}, {12,23}, {6,31}, {3,42}, {11,36}, {18,32}, {15,21}, {1,23}, {15,42}, {6,30}, {9,35}, {13,32}, {14,23}, {11,31}, {5,36}, {3,26}, {11,25}, {8,20}, {8,23}, {11,30}, {1,41}, {1,37}, {1,20}, {1,27}, {11,32}, {15,41}, {16,28}, {9,29}, {17,29}, {2,26}, {13,36}, {10,32}, {7,37}, {7,21}, {12,41}, {14,29}, {2,25}, {10,20}, {6,24}, {18,22}, {16,37}, {17,28}, {10,26}, {17,20}, {6,27}, {3,33}, {13,37}, {15,30}, {17,40}, {4,23}, {11,24}, {5,39}, {16,31}, {16,39}, {5,25}, {4,19}, {14,24}, {18,26}, {1,24} }; // ETB42.26 (= ET42.29) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[42][26]:={ {10,19}, {7,19}, {5,32}, {6,39}, {13,29}, {14,25}, {15,23}, {8,24}, {4,42}, {18,40}, {12,39}, {9,30}, {9,42}, {5,30}, {1,31}, {10,27}, {6,23}, {5,34}, {7,33}, {12,31}, {2,37}, {3,32}, {12,33}, {6,25}, {16,40}, {9,21}, {11,38}, {6,40}, {9,37}, {17,42}, {8,42}, {12,27}, {14,35}, {7,23}, {8,34}, {16,41}, {12,25}, {16,33}, {4,26}, {15,32}, {13,20}, {15,28}, {2,29}, {14,27}, {18,24}, {8,22}, {7,28}, {11,34}, {1,34}, {15,39}, {17,31}, {9,38}, {17,23}, {5,33}, {15,34}, {2,41}, {10,36}, {2,23}, {7,41}, {4,39}, {1,36}, {18,33}, {13,26}, {10,25}, {14,30}, {8,21}, {10,39}, {7,29}, {10,31}, {4,29}, {16,35}, {16,19}, {3,22}, {7,20}, {18,25}, {8,35}, {8,26}, {14,38}, {15,20}, {6,37}, {3,27}, {2,40}, {5,28}, {10,29}, {18,19}, {1,35}, {11,37}, {11,26}, {8,40}, {15,26}, {4,38}, {12,23}, {2,24}, {5,22}, {6,19}, {14,36}, {3,35}, {15,42}, {16,27}, {5,27}, {10,28}, {6,38}, {13,32}, {11,40}, {3,28}, {5,31}, {17,37}, {9,24}, {16,22}, {3,21}, {11,30}, {17,21}, {6,42}, {13,21}, {17,34}, {1,20}, {11,32}, {18,30}, {17,29}, {2,26}, {3,20}, {12,41}, {1,33}, {2,25}, {3,36}, {14,41}, {18,36}, {9,32}, {16,38}, {18,22}, {17,28}, {13,31}, {4,41}, {13,37}, {7,36}, {1,30}, {11,35}, {1,21}, {12,20}, {4,19}, {14,24}, {4,24}, {9,22}, {13,39} }; // ETB42.27 (= ET42.30) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[42][27]:={ {7,42}, {14,21}, {16,36}, {8,39}, {2,38}, {11,23}, {12,19}, {3,29}, {9,42}, {4,27}, {18,39}, {8,36}, {6,23}, {2,20}, {13,24}, {14,19}, {17,19}, {7,38}, {7,33}, {12,31}, {5,24}, {3,32}, {13,34}, {10,40}, {5,41}, {6,32}, {16,40}, {7,27}, {9,19}, {9,21}, {11,38}, {14,42}, {6,40}, {17,42}, {18,23}, {15,29}, {9,31}, {14,20}, {16,41}, {16,33}, {4,26}, {8,41}, {6,22}, {5,21}, {10,23}, {15,28}, {2,29}, {14,27}, {12,21}, {1,34}, {12,30}, {5,33}, {15,22}, {2,41}, {2,31}, {1,36}, {10,25}, {15,25}, {18,38}, {3,40}, {4,33}, {9,34}, {10,39}, {16,35}, {3,22}, {14,28}, {10,24}, {18,25}, {8,26}, {13,35}, {6,37}, {11,28}, {2,42}, {18,34}, {14,26}, {1,19}, {4,36}, {4,21}, {2,35}, {17,33}, {12,29}, {4,25}, {1,26}, {11,37}, {8,40}, {7,35}, {9,33}, {3,42}, {6,19}, {5,38}, {15,21}, {3,35}, {1,23}, {6,30}, {10,28}, {2,39}, {13,32}, {5,20}, {3,28}, {5,31}, {17,37}, {12,36}, {11,27}, {3,39}, {1,37}, {1,27}, {7,22}, {15,27}, {17,41}, {18,30}, {8,25}, {13,23}, {13,36}, {7,37}, {15,38}, {11,20}, {12,41}, {14,29}, {12,32}, {18,31}, {10,20}, {17,26}, {9,32}, {18,22}, {8,30}, {16,37}, {10,26}, {13,31}, {17,20}, {4,34}, {7,34}, {15,30}, {16,32}, {17,40}, {11,24}, {1,30}, {11,35}, {5,25}, {4,24}, {8,29}, {9,22}, {6,28}, {13,39}, {16,24} }; // ETB42.28 (= ET42.31) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[42][28]:={ {4,35}, {13,25}, {14,21}, {18,41}, {13,29}, {8,39}, {17,39}, {10,22}, {14,34}, {3,29}, {17,27}, {6,36}, {11,33}, {7,40}, {7,24}, {10,38}, {6,23}, {1,40}, {11,42}, {12,40}, {12,31}, {2,37}, {5,24}, {1,38}, {5,41}, {2,33}, {6,32}, {6,25}, {9,39}, {16,40}, {9,19}, {9,21}, {16,20}, {8,42}, {13,42}, {8,34}, {2,28}, {16,41}, {12,25}, {3,31}, {16,33}, {5,26}, {10,23}, {15,28}, {10,30}, {3,19}, {1,29}, {18,24}, {7,28}, {14,33}, {15,39}, {16,21}, {17,23}, {17,30}, {4,37}, {4,20}, {2,23}, {7,41}, {8,33}, {10,25}, {13,26}, {15,25}, {18,38}, {1,22}, {2,32}, {3,40}, {6,21}, {2,36}, {4,33}, {9,34}, {10,31}, {3,22}, {10,37}, {5,19}, {10,24}, {13,35}, {14,38}, {15,35}, {4,30}, {2,34}, {18,34}, {12,28}, {15,19}, {7,30}, {4,21}, {2,35}, {12,35}, {4,25}, {1,26}, {11,26}, {7,35}, {12,23}, {12,38}, {3,42}, {11,36}, {18,32}, {14,36}, {5,38}, {15,42}, {14,22}, {5,27}, {6,30}, {8,27}, {11,19}, {14,31}, {8,32}, {3,24}, {5,31}, {17,37}, {8,20}, {1,42}, {11,21}, {9,26}, {6,20}, {18,20}, {1,41}, {11,27}, {3,39}, {1,27}, {11,32}, {7,22}, {15,27}, {9,29}, {17,29}, {13,23}, {7,37}, {12,41}, {14,40}, {17,26}, {18,36}, {18,22}, {17,28}, {9,36}, {4,34}, {13,19}, {13,37}, {15,30}, {16,32}, {5,39}, {16,31}, {9,20}, {8,29}, {6,28}, {16,24} }; // ETB42.29 (= ET42.32) // Bipartite(18,24) Valencies [8,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 106993205379072 EdgesBipt[42][29]:={ {4,35}, {14,39}, {7,19}, {13,25}, {14,21}, {16,34}, {9,40}, {8,39}, {2,38}, {10,22}, {11,23}, {12,19}, {5,42}, {5,30}, {6,36}, {1,31}, {5,35}, {11,29}, {2,20}, {4,40}, {11,42}, {7,38}, {1,25}, {12,31}, {18,42}, {5,24}, {10,40}, {18,37}, {1,38}, {5,41}, {2,33}, {17,35}, {7,31}, {9,39}, {6,25}, {16,23}, {16,40}, {15,40}, {9,21}, {1,32}, {17,42}, {13,38}, {3,34}, {14,20}, {16,41}, {12,25}, {13,20}, {10,23}, {15,28}, {14,27}, {18,24}, {12,30}, {14,33}, {15,39}, {17,23}, {5,23}, {17,30}, {15,34}, {10,34}, {15,22}, {9,27}, {17,24}, {8,33}, {7,26}, {13,26}, {2,32}, {3,40}, {8,21}, {10,41}, {9,34}, {4,28}, {4,29}, {16,35}, {7,25}, {3,22}, {7,20}, {18,25}, {8,26}, {14,38}, {6,37}, {5,29}, {16,29}, {3,27}, {14,26}, {1,19}, {15,33}, {10,29}, {18,19}, {1,26}, {17,36}, {12,24}, {14,32}, {6,31}, {9,33}, {11,41}, {11,36}, {6,19}, {2,27}, {15,21}, {2,21}, {6,30}, {10,28}, {8,27}, {8,38}, {2,39}, {13,32}, {8,32}, {9,28}, {4,22}, {3,28}, {5,36}, {12,36}, {8,20}, {16,22}, {3,21}, {11,30}, {6,42}, {3,39}, {1,37}, {1,20}, {12,42}, {15,27}, {17,41}, {18,30}, {16,28}, {7,32}, {17,29}, {2,26}, {7,37}, {18,31}, {18,36}, {6,24}, {13,31}, {4,34}, {10,35}, {4,41}, {13,19}, {3,33}, {13,37}, {4,23}, {11,24}, {11,35}, {12,37}, {9,22} }; // ETB42.30 (= ET42.33) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7044820107264 EdgesBipt[42][30]:={ {10,19}, {7,42}, {6,39}, {18,41}, {16,36}, {8,39}, {12,26}, {17,39}, {10,22}, {12,19}, {14,34}, {17,27}, {3,38}, {6,36}, {1,31}, {4,27}, {16,30}, {5,35}, {7,24}, {1,40}, {4,40}, {11,42}, {5,34}, {1,25}, {12,31}, {2,37}, {3,32}, {13,34}, {10,40}, {5,41}, {16,23}, {13,27}, {14,35}, {18,23}, {7,23}, {16,41}, {12,25}, {3,31}, {2,19}, {3,19}, {1,34}, {15,39}, {9,38}, {5,23}, {10,34}, {2,31}, {13,33}, {7,41}, {8,33}, {4,39}, {10,25}, {18,38}, {1,22}, {6,33}, {6,21}, {2,36}, {8,21}, {4,33}, {4,28}, {7,29}, {15,36}, {10,31}, {16,35}, {10,37}, {14,28}, {9,23}, {8,26}, {5,29}, {16,29}, {2,42}, {1,19}, {7,30}, {4,21}, {15,33}, {17,33}, {5,28}, {11,37}, {13,40}, {13,22}, {7,35}, {18,35}, {2,24}, {5,22}, {12,38}, {11,36}, {18,32}, {15,21}, {15,42}, {14,22}, {6,30}, {10,28}, {9,35}, {8,27}, {11,19}, {8,38}, {14,23}, {8,32}, {4,22}, {11,31}, {3,26}, {11,25}, {13,28}, {8,20}, {9,26}, {18,20}, {18,29}, {11,30}, {17,21}, {6,42}, {13,21}, {1,37}, {15,27}, {9,29}, {3,25}, {17,38}, {3,20}, {16,42}, {14,29}, {12,32}, {2,25}, {14,40}, {1,28}, {9,41}, {14,41}, {17,26}, {3,37}, {6,24}, {9,32}, {17,32}, {17,20}, {4,34}, {6,27}, {15,30}, {7,36}, {11,24}, {12,37}, {2,30}, {12,20}, {15,24}, {5,40}, {9,20}, {18,26}, {13,39}, {16,24} }; // ETB42.31 (= ET42.34) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9172942848 EdgesBipt[42][31]:={ {4,35}, {7,19}, {13,25}, {13,41}, {16,34}, {6,39}, {9,40}, {13,29}, {15,23}, {12,26}, {17,39}, {2,38}, {4,42}, {10,22}, {12,39}, {17,27}, {5,42}, {5,30}, {1,31}, {16,30}, {18,39}, {2,20}, {11,42}, {17,19}, {1,25}, {7,33}, {12,22}, {5,24}, {18,37}, {7,31}, {6,25}, {16,23}, {15,40}, {9,21}, {16,20}, {17,42}, {12,27}, {2,28}, {14,20}, {12,25}, {6,34}, {8,41}, {6,22}, {10,23}, {15,28}, {2,29}, {10,30}, {1,29}, {17,31}, {17,30}, {10,34}, {4,20}, {2,41}, {13,33}, {17,24}, {7,41}, {8,28}, {18,38}, {2,32}, {3,40}, {12,34}, {7,29}, {15,36}, {16,35}, {7,25}, {14,28}, {9,23}, {5,19}, {18,25}, {8,26}, {14,38}, {15,35}, {6,37}, {11,39}, {3,23}, {4,30}, {18,34}, {6,26}, {14,26}, {1,19}, {2,40}, {15,33}, {8,40}, {18,27}, {17,36}, {14,32}, {9,33}, {12,38}, {11,36}, {15,21}, {3,35}, {5,27}, {9,35}, {11,19}, {6,38}, {8,38}, {8,32}, {9,28}, {4,22}, {3,28}, {11,31}, {5,36}, {3,24}, {5,31}, {9,24}, {8,20}, {16,22}, {3,21}, {11,30}, {1,41}, {11,27}, {4,32}, {13,21}, {1,37}, {10,42}, {2,26}, {10,32}, {7,37}, {7,21}, {16,42}, {1,33}, {14,29}, {14,40}, {3,36}, {10,20}, {14,41}, {18,22}, {13,31}, {9,36}, {4,34}, {10,35}, {6,27}, {13,19}, {13,37}, {3,33}, {16,32}, {4,23}, {11,24}, {12,37}, {5,39}, {1,21}, {15,24}, {18,26}, {8,29} }; // ETB42.32 (= ET42.35) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 905969664 EdgesBipt[42][32]:={ {4,35}, {7,19}, {7,42}, {13,41}, {13,29}, {14,25}, {15,23}, {8,24}, {11,23}, {3,29}, {7,40}, {16,30}, {10,27}, {18,39}, {8,36}, {10,38}, {6,23}, {14,19}, {7,38}, {1,25}, {12,40}, {5,24}, {3,32}, {13,34}, {1,38}, {5,41}, {7,31}, {9,39}, {6,25}, {12,33}, {16,40}, {9,19}, {9,21}, {1,32}, {17,42}, {8,42}, {18,21}, {8,34}, {13,38}, {2,28}, {9,31}, {4,26}, {5,37}, {8,22}, {7,28}, {12,21}, {3,41}, {17,30}, {9,27}, {2,23}, {17,24}, {7,26}, {18,33}, {13,26}, {10,25}, {15,25}, {6,33}, {3,40}, {6,21}, {2,36}, {9,34}, {10,39}, {4,29}, {16,26}, {16,19}, {10,37}, {5,19}, {13,35}, {15,35}, {6,37}, {11,39}, {5,29}, {11,28}, {18,34}, {2,40}, {12,28}, {7,30}, {2,35}, {15,33}, {12,29}, {18,19}, {1,26}, {13,22}, {18,27}, {17,36}, {4,38}, {2,24}, {9,33}, {11,36}, {2,27}, {17,22}, {14,36}, {15,21}, {15,42}, {6,30}, {1,39}, {14,31}, {2,39}, {14,37}, {8,32}, {4,22}, {11,40}, {3,28}, {5,36}, {5,31}, {15,37}, {8,20}, {3,21}, {11,27}, {6,42}, {17,34}, {1,37}, {1,20}, {1,27}, {16,28}, {13,23}, {10,32}, {3,20}, {12,41}, {16,42}, {14,29}, {12,32}, {18,31}, {10,20}, {14,41}, {6,35}, {16,38}, {17,32}, {18,22}, {8,30}, {10,26}, {17,20}, {4,34}, {4,41}, {3,33}, {15,30}, {4,23}, {11,24}, {11,35}, {16,31}, {12,20}, {5,25}, {14,24}, {9,22} }; // ETB42.33 (= ET42.36) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 589824 EdgesBipt[42][33]:={ {4,35}, {14,39}, {5,32}, {10,21}, {15,23}, {16,36}, {8,31}, {2,38}, {4,42}, {12,19}, {14,34}, {5,42}, {5,30}, {1,31}, {16,30}, {10,38}, {6,23}, {4,40}, {7,38}, {12,31}, {12,22}, {13,34}, {18,37}, {1,38}, {5,41}, {2,33}, {6,32}, {17,35}, {6,25}, {9,39}, {12,33}, {15,40}, {13,27}, {3,30}, {11,22}, {9,37}, {17,42}, {7,23}, {8,34}, {2,28}, {16,33}, {2,19}, {8,41}, {10,23}, {15,28}, {14,27}, {1,29}, {8,22}, {12,21}, {11,34}, {16,21}, {17,23}, {17,30}, {9,27}, {10,36}, {2,31}, {13,33}, {17,24}, {7,41}, {7,26}, {1,36}, {15,25}, {18,38}, {3,40}, {12,34}, {4,33}, {9,34}, {7,29}, {4,28}, {10,24}, {7,20}, {18,25}, {15,35}, {6,37}, {5,29}, {11,28}, {3,27}, {4,30}, {10,33}, {1,19}, {2,40}, {4,21}, {9,25}, {18,19}, {1,26}, {11,37}, {8,19}, {13,40}, {13,22}, {7,35}, {17,36}, {12,24}, {15,26}, {3,42}, {18,32}, {14,36}, {2,21}, {16,27}, {14,22}, {5,27}, {6,30}, {11,19}, {8,32}, {11,40}, {5,20}, {3,28}, {11,31}, {15,37}, {11,25}, {12,36}, {13,28}, {8,20}, {6,20}, {18,20}, {1,41}, {6,42}, {13,21}, {3,39}, {17,41}, {7,32}, {3,25}, {17,29}, {2,26}, {15,38}, {16,42}, {14,29}, {18,31}, {14,41}, {3,37}, {6,35}, {9,32}, {10,26}, {10,35}, {4,23}, {5,39}, {16,39}, {14,24}, {9,20}, {18,26}, {1,24}, {8,29}, {9,22}, {13,39}, {16,24} }; // ETB42.34 (= ET42.37) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 589824 EdgesBipt[42][34]:={ {10,25}, {1,20}, {13,32}, {11,36}, {18,39}, {12,29}, {13,21}, {4,24}, {16,33}, {15,24}, {16,26}, {4,26}, {3,22}, {10,37}, {16,27}, {14,39}, {5,38}, {12,32}, {8,28}, {15,31}, {1,32}, {3,25}, {7,41}, {12,39}, {2,19}, {12,41}, {1,19}, {12,42}, {3,35}, {3,37}, {13,35}, {2,26}, {7,36}, {17,21}, {17,40}, {14,28}, {4,23}, {18,34}, {15,25}, {18,37}, {10,30}, {6,29}, {4,38}, {3,34}, {5,40}, {2,25}, {11,33}, {6,31}, {6,40}, {14,33}, {9,29}, {14,21}, {9,26}, {9,27}, {12,20}, {8,41}, {2,38}, {2,37}, {14,40}, {9,41}, {5,25}, {1,31}, {11,22}, {10,28}, {11,31}, {17,33}, {1,22}, {4,33}, {5,23}, {4,21}, {3,20}, {15,19}, {15,42}, {2,20}, {10,40}, {1,29}, {7,30}, {3,32}, {11,21}, {4,35}, {13,33}, {2,32}, {16,32}, {17,30}, {13,23}, {15,37}, {8,22}, {18,24}, {8,35}, {10,42}, {18,27}, {18,36}, {16,38}, {15,36}, {5,28}, {17,31}, {13,30}, {4,36}, {17,28}, {12,27}, {14,22}, {11,24}, {6,26}, {8,40}, {12,30}, {14,34}, {8,23}, {3,23}, {18,25}, {17,19}, {6,19}, {7,29}, {6,41}, {6,28}, {10,39}, {13,42}, {16,21}, {7,23}, {8,34}, {10,27}, {18,22}, {16,20}, {6,38}, {2,31}, {9,36}, {5,26}, {16,39}, {9,39}, {9,38}, {11,19}, {1,41}, {7,24}, {9,24}, {17,42}, {11,34}, {7,35}, {15,30}, {13,20}, {5,35}, {1,34}, {5,37}, {7,42}, {14,27}, {8,29} }; // ETB42.35 (= ET42.38) // Bipartite(18,24) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 589824 EdgesBipt[42][35]:={ {10,19}, {4,35}, {13,25}, {5,32}, {7,39}, {16,36}, {4,42}, {10,22}, {18,40}, {11,23}, {9,30}, {3,29}, {3,38}, {9,42}, {1,31}, {4,27}, {10,27}, {6,41}, {5,35}, {7,33}, {2,37}, {18,42}, {1,38}, {6,32}, {6,25}, {12,33}, {16,40}, {7,27}, {13,27}, {9,21}, {14,42}, {6,40}, {7,23}, {8,34}, {3,34}, {14,20}, {2,19}, {4,26}, {2,29}, {10,30}, {18,24}, {8,22}, {3,41}, {12,21}, {1,34}, {9,38}, {5,23}, {15,34}, {10,34}, {15,22}, {2,41}, {2,31}, {2,23}, {13,33}, {17,24}, {7,41}, {8,28}, {4,39}, {15,25}, {1,22}, {14,30}, {10,39}, {7,29}, {10,31}, {16,19}, {3,22}, {5,19}, {8,26}, {14,38}, {6,37}, {11,39}, {4,30}, {18,34}, {14,26}, {1,19}, {2,35}, {15,33}, {17,33}, {5,28}, {12,29}, {1,35}, {1,26}, {8,40}, {6,29}, {7,35}, {17,36}, {12,24}, {4,38}, {14,32}, {9,33}, {11,36}, {14,36}, {15,21}, {1,23}, {15,42}, {16,27}, {18,28}, {8,38}, {8,32}, {5,20}, {3,26}, {5,31}, {17,37}, {15,37}, {12,36}, {8,20}, {6,20}, {9,26}, {17,21}, {11,27}, {13,21}, {10,42}, {11,32}, {18,30}, {16,28}, {9,29}, {3,25}, {11,20}, {7,21}, {12,41}, {2,25}, {12,32}, {9,41}, {18,36}, {3,37}, {18,22}, {17,28}, {13,31}, {13,19}, {13,37}, {15,30}, {17,40}, {4,23}, {11,24}, {11,35}, {16,31}, {16,39}, {12,20}, {14,24}, {5,40}, {17,25}, {6,28}, {13,39}, {16,24} }; // ETB42.36 (= ET42.39) // Bipartite(21,21) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[42][36]:={ {21,23}, {16,41}, {10,25}, {2,24}, {4,27}, {5,34}, {16,33}, {18,29}, {4,26}, {3,22}, {18,32}, {16,27}, {11,25}, {21,32}, {12,22}, {5,38}, {12,32}, {16,31}, {15,31}, {3,25}, {19,24}, {10,23}, {20,40}, {1,40}, {14,38}, {10,33}, {3,35}, {21,35}, {13,35}, {2,26}, {8,39}, {7,36}, {21,22}, {8,25}, {12,34}, {18,41}, {17,40}, {14,28}, {4,23}, {10,22}, {11,28}, {15,29}, {4,38}, {1,38}, {2,36}, {9,29}, {19,40}, {17,37}, {14,36}, {9,26}, {12,36}, {4,41}, {8,41}, {2,38}, {7,39}, {4,42}, {9,41}, {2,39}, {17,39}, {14,24}, {17,33}, {1,22}, {19,38}, {4,33}, {5,23}, {9,34}, {9,42}, {16,37}, {10,40}, {7,30}, {3,39}, {13,31}, {3,32}, {4,35}, {9,25}, {8,36}, {19,42}, {6,33}, {2,32}, {7,26}, {13,33}, {16,32}, {6,24}, {15,35}, {11,30}, {5,24}, {12,28}, {13,25}, {10,42}, {19,31}, {18,26}, {18,27}, {14,37}, {20,22}, {21,31}, {8,37}, {15,36}, {5,28}, {21,38}, {18,31}, {16,22}, {7,31}, {12,33}, {13,30}, {5,41}, {20,29}, {17,28}, {12,23}, {13,24}, {6,26}, {12,30}, {21,29}, {8,23}, {17,29}, {1,25}, {6,28}, {9,30}, {13,27}, {1,35}, {14,25}, {5,39}, {20,35}, {19,32}, {20,37}, {6,42}, {7,23}, {3,30}, {8,34}, {3,24}, {18,28}, {11,27}, {10,27}, {20,34}, {1,26}, {10,36}, {11,32}, {15,33}, {20,42}, {20,24}, {2,40}, {11,40}, {6,34}, {5,27}, {15,38}, {15,28}, {16,39}, {1,41}, {13,37}, {3,41}, {21,34}, {18,40}, {17,26}, {6,39}, {11,34}, {17,22}, {2,30}, {15,30}, {7,37}, {19,23}, {9,31}, {6,35}, {11,42}, {7,42}, {19,37}, {14,27}, {8,29}, {1,36}, {14,29} }; // ETB42.37 (= ET42.40) // Bipartite(21,21) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[42][37]:={ {2,24}, {17,36}, {12,29}, {11,35}, {13,40}, {16,33}, {15,24}, {3,22}, {21,40}, {18,32}, {16,40}, {21,32}, {14,39}, {2,23}, {12,22}, {5,38}, {4,29}, {20,27}, {8,33}, {3,25}, {10,23}, {10,26}, {14,38}, {12,39}, {7,22}, {21,42}, {3,35}, {8,39}, {7,34}, {11,41}, {16,25}, {12,34}, {18,41}, {17,40}, {9,35}, {4,23}, {16,29}, {18,34}, {10,22}, {16,30}, {4,38}, {3,34}, {14,23}, {20,38}, {11,33}, {6,31}, {2,34}, {5,22}, {9,29}, {19,40}, {15,32}, {19,30}, {9,27}, {15,40}, {8,41}, {2,38}, {2,37}, {14,30}, {7,39}, {9,41}, {7,32}, {1,31}, {14,24}, {20,31}, {15,27}, {20,33}, {10,31}, {15,42}, {1,29}, {4,35}, {13,33}, {1,23}, {5,30}, {17,30}, {19,41}, {21,25}, {5,24}, {13,23}, {12,28}, {15,37}, {14,42}, {8,22}, {18,24}, {20,28}, {8,35}, {13,28}, {19,31}, {18,26}, {4,28}, {21,31}, {21,38}, {8,26}, {5,42}, {12,33}, {13,30}, {4,36}, {8,32}, {1,42}, {5,31}, {17,25}, {6,26}, {12,40}, {10,32}, {20,25}, {5,36}, {17,41}, {7,29}, {6,28}, {10,39}, {1,37}, {20,37}, {4,37}, {6,42}, {11,26}, {16,36}, {3,30}, {11,37}, {3,24}, {2,29}, {11,27}, {18,28}, {16,35}, {10,27}, {1,26}, {2,22}, {10,36}, {15,33}, {14,32}, {19,39}, {6,25}, {6,38}, {9,33}, {9,36}, {6,34}, {19,25}, {5,26}, {15,28}, {16,39}, {13,38}, {4,25}, {12,24}, {3,28}, {7,27}, {20,41}, {13,37}, {18,40}, {17,26}, {11,34}, {17,22}, {13,39}, {21,24}, {2,30}, {7,37}, {19,23}, {1,34}, {9,31}, {21,41}, {6,35}, {17,32}, {11,42}, {3,36}, {18,35}, {7,42}, {9,23}, {14,27}, {8,29}, {19,27}, {1,36} }; // ETB42.38 (= ET42.41) // Bipartite(21,21) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2016 EdgesBipt[42][38]:={ {4,35}, {14,39}, {16,25}, {13,25}, {13,41}, {9,40}, {7,39}, {8,39}, {8,24}, {17,39}, {10,22}, {11,23}, {9,30}, {14,34}, {3,29}, {5,30}, {20,28}, {6,36}, {7,40}, {10,27}, {19,39}, {6,41}, {5,35}, {11,29}, {1,40}, {11,42}, {5,34}, {12,40}, {7,33}, {12,22}, {18,42}, {20,23}, {10,40}, {6,32}, {17,35}, {16,23}, {21,26}, {7,27}, {15,40}, {13,27}, {11,38}, {21,25}, {3,30}, {17,42}, {19,23}, {20,42}, {15,29}, {2,28}, {16,33}, {6,34}, {5,26}, {15,32}, {10,23}, {2,29}, {14,27}, {5,37}, {18,24}, {19,37}, {3,41}, {11,34}, {17,31}, {9,38}, {17,23}, {17,30}, {4,37}, {15,34}, {20,38}, {10,36}, {2,23}, {17,24}, {21,38}, {18,33}, {15,25}, {1,22}, {6,33}, {21,41}, {3,40}, {12,34}, {4,33}, {4,28}, {10,31}, {16,35}, {7,25}, {3,22}, {10,37}, {14,28}, {18,25}, {8,35}, {20,24}, {4,31}, {2,42}, {18,34}, {6,26}, {14,26}, {4,36}, {2,35}, {5,28}, {12,29}, {9,25}, {1,35}, {11,37}, {13,40}, {7,35}, {20,37}, {15,26}, {9,33}, {12,38}, {3,42}, {2,27}, {18,32}, {5,38}, {1,23}, {6,30}, {8,27}, {6,38}, {14,31}, {8,38}, {13,32}, {11,31}, {3,26}, {5,31}, {19,36}, {21,22}, {9,24}, {12,36}, {13,28}, {16,22}, {19,22}, {21,36}, {1,41}, {20,26}, {11,27}, {4,32}, {17,34}, {1,27}, {12,42}, {18,30}, {15,41}, {9,29}, {2,26}, {10,32}, {7,37}, {19,41}, {1,33}, {14,29}, {12,32}, {1,28}, {21,42}, {8,37}, {20,39}, {18,22}, {8,30}, {9,36}, {13,31}, {19,25}, {4,41}, {3,33}, {16,32}, {7,36}, {16,31}, {16,39}, {19,28}, {2,30}, {15,24}, {14,24}, {21,24}, {8,29}, {13,39} }; // ETB42.39 (= ET42.50) // Bipartite(21,21) Valencies [9,9] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 26330359136256 EdgesBipt[42][39]:={ {10,24}, {9,28}, {11,36}, {18,39}, {13,40}, {4,24}, {18,29}, {17,38}, {10,37}, {18,32}, {11,25}, {21,32}, {14,39}, {2,23}, {12,32}, {18,38}, {4,29}, {8,33}, {1,27}, {10,23}, {20,40}, {7,41}, {1,40}, {17,34}, {12,39}, {4,31}, {21,42}, {21,35}, {3,37}, {13,35}, {7,34}, {17,24}, {2,28}, {5,32}, {16,23}, {14,28}, {9,35}, {8,27}, {12,37}, {16,29}, {2,42}, {10,30}, {16,30}, {15,29}, {4,38}, {19,33}, {3,34}, {5,40}, {20,38}, {11,38}, {6,40}, {6,31}, {2,36}, {4,22}, {10,38}, {9,29}, {19,40}, {17,37}, {19,26}, {19,30}, {15,40}, {8,41}, {2,37}, {7,39}, {5,25}, {7,32}, {17,23}, {15,26}, {10,41}, {11,22}, {7,25}, {11,31}, {20,31}, {2,35}, {1,22}, {15,27}, {21,27}, {20,33}, {5,23}, {10,31}, {9,42}, {16,37}, {1,29}, {13,31}, {15,41}, {8,36}, {6,33}, {13,33}, {11,29}, {6,24}, {5,30}, {17,30}, {21,25}, {9,37}, {17,27}, {12,25}, {14,42}, {15,34}, {8,22}, {18,24}, {20,28}, {13,28}, {14,41}, {3,27}, {18,36}, {1,33}, {15,36}, {17,31}, {8,26}, {18,31}, {12,26}, {16,22}, {9,22}, {12,33}, {4,36}, {21,39}, {12,23}, {13,24}, {11,24}, {11,39}, {6,26}, {8,40}, {12,40}, {12,30}, {14,34}, {3,23}, {18,25}, {17,41}, {6,28}, {9,30}, {13,42}, {14,25}, {5,39}, {20,35}, {7,28}, {19,32}, {13,26}, {6,42}, {16,36}, {3,30}, {5,33}, {8,34}, {20,26}, {3,24}, {2,29}, {16,35}, {10,27}, {1,26}, {2,22}, {10,34}, {15,22}, {18,22}, {11,32}, {15,33}, {14,32}, {19,39}, {20,42}, {6,38}, {20,24}, {16,42}, {9,36}, {19,25}, {5,26}, {13,38}, {4,25}, {3,38}, {7,27}, {14,35}, {1,41}, {3,41}, {3,31}, {21,34}, {7,35}, {2,30}, {1,34}, {19,23}, {5,37}, {21,41}, {21,28}, {6,35}, {4,39}, {16,28}, {7,42}, {9,23}, {19,37}, {14,27}, {8,29}, {4,32}, {1,36} }; // ETB42.40 (= ET42.51) // Bipartite(7,35) Valencies [10,2] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5016453120000000 EdgesBipt[42][40]:={ {3,22}, {2,14}, {6,41}, {5,32}, {6,34}, {2,37}, {5,37}, {6,39}, {1,29}, {2,30}, {7,31}, {7,12}, {1,36}, {4,40}, {5,11}, {3,38}, {1,20}, {3,8}, {3,24}, {7,33}, {3,29}, {6,32}, {2,21}, {5,9}, {5,16}, {5,23}, {4,12}, {4,33}, {2,16}, {5,25}, {1,15}, {7,10}, {7,40}, {3,15}, {6,20}, {3,17}, {4,21}, {6,27}, {3,31}, {5,30}, {7,38}, {1,27}, {4,28}, {5,39}, {7,19}, {6,18}, {2,28}, {2,42}, {5,18}, {6,25}, {2,23}, {1,8}, {1,13}, {2,35}, {2,9}, {7,17}, {6,11}, {4,26}, {1,41}, {1,22}, {4,14}, {4,35}, {1,34}, {4,42}, {4,19}, {6,13}, {7,24}, {3,10}, {3,36}, {7,26} }; // ETB42.41 (= ET42.52) // Bipartite(12,30) Valencies [10,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[42][41]:={ {1,15}, {10,19}, {9,40}, {3,15}, {8,39}, {11,17}, {8,24}, {6,18}, {12,39}, {9,30}, {4,14}, {2,22}, {6,36}, {4,27}, {6,17}, {8,36}, {5,35}, {7,24}, {11,29}, {1,40}, {4,40}, {4,16}, {6,13}, {12,17}, {7,33}, {12,31}, {2,37}, {3,32}, {10,40}, {1,38}, {6,32}, {7,31}, {12,33}, {7,27}, {9,19}, {9,21}, {3,30}, {11,22}, {9,37}, {7,23}, {5,13}, {9,31}, {2,18}, {5,26}, {8,14}, {9,17}, {5,21}, {10,23}, {10,30}, {1,29}, {8,22}, {8,15}, {12,21}, {11,34}, {12,30}, {5,33}, {2,41}, {7,41}, {1,22}, {9,34}, {4,28}, {2,13}, {4,29}, {10,16}, {7,25}, {10,37}, {5,19}, {8,26}, {11,39}, {7,14}, {4,31}, {11,28}, {2,34}, {10,33}, {12,28}, {2,35}, {4,15}, {1,35}, {6,29}, {11,14}, {12,24}, {11,13}, {11,41}, {3,42}, {2,27}, {6,19}, {11,36}, {5,38}, {1,23}, {2,21}, {6,38}, {8,38}, {5,20}, {3,28}, {3,26}, {3,24}, {8,23}, {1,42}, {7,16}, {6,20}, {9,18}, {4,32}, {6,42}, {1,27}, {10,42}, {3,16}, {8,25}, {7,37}, {3,20}, {12,41}, {2,25}, {3,36}, {9,32}, {10,26}, {4,34}, {10,35}, {5,39}, {1,18}, {12,20}, {5,25} }; // ETB42.42 (= ET42.53) // Bipartite(12,30) Valencies [10,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2293235712000000 EdgesBipt[42][42]:={ {4,35}, {7,19}, {9,40}, {3,15}, {8,39}, {11,17}, {2,38}, {10,22}, {6,18}, {11,23}, {12,19}, {5,42}, {5,30}, {6,36}, {1,31}, {5,35}, {11,29}, {2,20}, {4,40}, {11,42}, {7,38}, {1,25}, {4,16}, {6,13}, {12,31}, {5,24}, {10,40}, {1,38}, {5,41}, {2,33}, {7,31}, {9,39}, {6,25}, {9,21}, {12,18}, {1,32}, {3,34}, {12,25}, {2,15}, {8,14}, {10,23}, {8,15}, {12,30}, {2,14}, {5,23}, {10,34}, {9,27}, {8,33}, {7,26}, {2,32}, {3,40}, {8,21}, {10,41}, {9,34}, {4,28}, {10,16}, {4,29}, {7,25}, {3,22}, {7,20}, {8,26}, {6,37}, {7,13}, {5,29}, {7,14}, {3,27}, {1,19}, {11,18}, {4,17}, {9,15}, {10,29}, {1,26}, {12,24}, {6,31}, {9,33}, {11,41}, {2,27}, {6,19}, {11,36}, {2,21}, {6,30}, {8,27}, {10,28}, {8,38}, {2,39}, {8,32}, {9,28}, {4,22}, {3,28}, {5,36}, {5,17}, {12,36}, {8,20}, {3,21}, {1,14}, {11,30}, {10,17}, {6,42}, {3,39}, {1,37}, {1,20}, {12,42}, {3,16}, {1,13}, {7,32}, {2,26}, {7,37}, {6,24}, {5,18}, {4,34}, {10,35}, {4,41}, {9,16}, {3,33}, {4,23}, {11,24}, {11,35}, {12,37}, {12,13}, {9,22} }; // ETB42.43 (= ET42.54) // Bipartite(12,30) Valencies [10,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 143327232000000 EdgesBipt[42][43]:={ {7,19}, {7,42}, {6,39}, {10,21}, {3,15}, {8,24}, {2,38}, {4,42}, {9,30}, {2,22}, {9,42}, {1,31}, {6,17}, {12,16}, {10,27}, {8,36}, {6,41}, {7,24}, {6,23}, {10,38}, {2,20}, {4,40}, {5,34}, {1,25}, {4,16}, {12,17}, {12,40}, {12,22}, {7,31}, {11,38}, {8,42}, {2,28}, {3,31}, {8,14}, {9,17}, {5,21}, {3,19}, {1,29}, {2,14}, {5,33}, {1,17}, {3,13}, {2,16}, {2,32}, {6,33}, {6,21}, {12,34}, {8,18}, {4,28}, {10,39}, {10,15}, {7,25}, {9,23}, {5,15}, {8,26}, {7,13}, {3,27}, {2,34}, {4,30}, {6,15}, {10,33}, {1,19}, {2,40}, {12,28}, {4,36}, {7,30}, {5,28}, {12,29}, {12,35}, {1,35}, {11,26}, {11,37}, {6,29}, {11,14}, {12,23}, {11,13}, {5,22}, {1,23}, {5,27}, {9,35}, {11,19}, {7,18}, {8,38}, {8,32}, {4,22}, {10,14}, {11,31}, {9,24}, {11,25}, {8,20}, {3,21}, {1,41}, {9,18}, {3,39}, {1,37}, {11,32}, {1,13}, {4,18}, {3,25}, {9,29}, {2,26}, {10,32}, {7,37}, {11,20}, {12,41}, {9,41}, {10,20}, {3,37}, {6,35}, {8,30}, {9,36}, {10,26}, {4,34}, {6,27}, {3,33}, {7,36}, {5,16}, {5,39}, {4,24}, {5,40} }; // ETB42.44 (= ET42.55) // Bipartite(12,30) Valencies [10,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1509949440 EdgesBipt[42][44]:={ {4,35}, {7,19}, {6,39}, {8,39}, {8,24}, {11,23}, {6,18}, {12,39}, {3,29}, {5,42}, {6,17}, {4,40}, {11,42}, {7,38}, {4,16}, {12,17}, {12,22}, {3,32}, {10,40}, {1,38}, {5,41}, {6,32}, {12,33}, {9,19}, {9,21}, {11,38}, {12,18}, {12,27}, {7,23}, {2,28}, {3,34}, {9,31}, {3,31}, {2,15}, {5,26}, {8,14}, {8,13}, {8,41}, {10,18}, {9,17}, {6,22}, {5,21}, {2,29}, {3,19}, {10,30}, {8,15}, {7,28}, {1,34}, {2,14}, {5,23}, {4,20}, {2,41}, {8,28}, {10,25}, {1,22}, {6,33}, {4,33}, {9,34}, {3,14}, {2,13}, {10,15}, {10,31}, {10,16}, {7,20}, {8,26}, {6,37}, {7,13}, {4,31}, {4,30}, {10,33}, {1,19}, {4,15}, {4,25}, {1,35}, {11,26}, {7,35}, {12,24}, {2,24}, {11,41}, {11,36}, {5,38}, {1,23}, {5,27}, {2,39}, {11,40}, {5,36}, {11,25}, {11,21}, {3,21}, {11,27}, {6,42}, {1,37}, {1,20}, {12,42}, {7,22}, {3,16}, {1,13}, {4,18}, {9,29}, {2,26}, {7,37}, {9,14}, {12,32}, {1,28}, {3,36}, {3,17}, {10,20}, {9,32}, {6,24}, {8,30}, {9,36}, {6,27}, {10,35}, {9,16}, {7,34}, {12,37}, {2,30}, {5,25}, {5,40}, {8,29} }; // ETB42.45 (= ET42.56) // Bipartite(12,30) Valencies [10,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[42][45]:={ {4,35}, {5,32}, {7,39}, {6,39}, {9,40}, {11,15}, {8,39}, {8,24}, {12,26}, {10,22}, {4,14}, {5,42}, {1,31}, {8,36}, {5,35}, {7,24}, {10,38}, {7,38}, {6,13}, {12,40}, {2,33}, {11,16}, {12,27}, {7,23}, {7,15}, {8,34}, {2,28}, {3,34}, {12,25}, {2,19}, {2,18}, {2,15}, {8,14}, {4,26}, {9,17}, {5,21}, {10,23}, {3,19}, {10,30}, {5,37}, {1,29}, {3,18}, {7,28}, {3,41}, {12,21}, {1,34}, {9,38}, {4,37}, {4,20}, {1,22}, {1,16}, {8,21}, {4,33}, {2,13}, {10,15}, {10,31}, {4,29}, {10,16}, {10,37}, {9,23}, {7,13}, {8,17}, {3,27}, {2,34}, {1,19}, {2,40}, {7,30}, {9,25}, {8,19}, {11,26}, {12,23}, {6,31}, {9,33}, {11,41}, {3,42}, {5,22}, {12,38}, {5,27}, {8,32}, {4,22}, {5,20}, {11,40}, {11,31}, {5,36}, {3,26}, {3,24}, {5,17}, {11,25}, {12,36}, {6,16}, {6,20}, {1,14}, {11,30}, {9,18}, {10,17}, {6,42}, {3,39}, {1,37}, {12,42}, {1,13}, {4,18}, {9,29}, {10,32}, {7,21}, {11,20}, {12,41}, {9,14}, {2,25}, {1,28}, {6,35}, {6,24}, {9,32}, {6,27}, {4,41}, {3,33}, {7,36}, {11,35}, {2,30}, {8,29}, {6,28} }; // ETB42.46 (= ET42.57) // Bipartite(21,21) Valencies [10,10] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 10080 EdgesBipt[42][46]:={ {10,25}, {10,24}, {17,35}, {12,29}, {5,34}, {16,26}, {3,22}, {21,40}, {3,40}, {10,37}, {18,32}, {4,30}, {16,27}, {21,32}, {14,39}, {2,23}, {12,22}, {8,28}, {16,31}, {18,38}, {15,31}, {21,37}, {4,29}, {20,27}, {3,25}, {19,24}, {7,41}, {1,40}, {17,34}, {7,22}, {4,31}, {10,33}, {3,35}, {17,24}, {8,25}, {2,41}, {12,34}, {17,40}, {14,28}, {9,35}, {20,30}, {13,29}, {16,29}, {2,42}, {18,34}, {11,28}, {16,30}, {4,38}, {19,33}, {3,34}, {5,40}, {2,25}, {20,38}, {11,38}, {11,33}, {6,31}, {6,40}, {1,38}, {2,34}, {2,36}, {4,22}, {14,36}, {9,32}, {16,24}, {9,26}, {19,30}, {5,29}, {4,41}, {2,37}, {19,29}, {7,39}, {4,42}, {9,41}, {5,25}, {15,26}, {10,41}, {7,25}, {14,24}, {10,28}, {20,31}, {1,22}, {15,27}, {21,27}, {20,33}, {6,30}, {4,33}, {13,22}, {15,42}, {9,42}, {10,40}, {13,31}, {18,30}, {4,35}, {7,26}, {6,33}, {16,32}, {11,23}, {1,23}, {5,30}, {17,30}, {19,41}, {17,27}, {12,28}, {12,25}, {15,37}, {8,22}, {15,34}, {8,35}, {18,26}, {18,27}, {14,41}, {14,37}, {1,33}, {3,29}, {6,23}, {16,38}, {21,33}, {13,36}, {15,36}, {8,26}, {18,31}, {12,26}, {16,22}, {9,22}, {5,41}, {4,36}, {21,39}, {17,28}, {12,27}, {8,32}, {1,42}, {12,23}, {13,24}, {17,25}, {11,39}, {8,40}, {20,39}, {14,34}, {8,23}, {3,23}, {10,32}, {21,30}, {17,29}, {5,36}, {1,25}, {19,36}, {18,23}, {13,27}, {10,39}, {1,35}, {13,42}, {1,37}, {14,25}, {7,28}, {19,32}, {13,26}, {6,42}, {11,26}, {10,35}, {7,23}, {6,36}, {3,30}, {5,33}, {20,26}, {11,37}, {2,29}, {16,35}, {18,28}, {8,38}, {2,22}, {11,32}, {8,24}, {19,39}, {13,41}, {20,42}, {6,38}, {2,31}, {11,40}, {9,33}, {20,36}, {6,34}, {15,28}, {9,39}, {9,38}, {3,38}, {12,24}, {15,23}, {1,41}, {21,36}, {7,24}, {3,31}, {15,39}, {21,34}, {9,24}, {18,40}, {12,31}, {6,37}, {19,35}, {13,39}, {7,37}, {5,35}, {5,37}, {21,28}, {17,32}, {11,42}, {7,42}, {20,32}, {14,27}, {19,27}, {14,29} }; // ETB42.47 (= ET42.58) // Bipartite(21,21) Valencies [10,10] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 10080 EdgesBipt[42][47]:={ {21,23}, {3,33}, {16,41}, {2,24}, {13,32}, {9,28}, {2,33}, {6,32}, {11,36}, {17,36}, {18,39}, {4,27}, {11,35}, {4,24}, {15,24}, {16,33}, {18,29}, {4,26}, {17,38}, {11,25}, {8,30}, {16,40}, {5,38}, {12,32}, {7,38}, {8,42}, {1,32}, {8,33}, {10,23}, {12,38}, {20,40}, {10,26}, {12,39}, {12,41}, {2,27}, {12,42}, {21,42}, {21,35}, {3,37}, {13,35}, {14,31}, {2,26}, {8,39}, {7,34}, {11,41}, {16,25}, {12,35}, {7,36}, {2,28}, {1,30}, {5,32}, {16,23}, {4,23}, {8,31}, {8,27}, {12,37}, {10,22}, {6,22}, {15,25}, {18,42}, {18,37}, {10,30}, {6,29}, {19,28}, {15,29}, {14,23}, {14,33}, {5,22}, {10,38}, {9,29}, {19,40}, {17,37}, {19,26}, {15,32}, {9,27}, {12,36}, {15,40}, {8,41}, {2,38}, {14,30}, {14,40}, {19,22}, {2,39}, {7,32}, {17,39}, {17,23}, {1,31}, {11,22}, {11,31}, {2,35}, {17,33}, {19,38}, {5,23}, {10,29}, {21,26}, {1,29}, {3,32}, {9,25}, {15,41}, {13,33}, {19,42}, {11,30}, {21,25}, {5,24}, {9,37}, {13,23}, {14,42}, {13,25}, {18,24}, {20,28}, {13,28}, {10,42}, {19,31}, {1,28}, {3,27}, {20,22}, {18,36}, {21,31}, {18,33}, {3,26}, {8,37}, {5,28}, {21,38}, {17,31}, {5,42}, {7,31}, {13,30}, {20,29}, {9,40}, {1,24}, {14,22}, {5,31}, {11,24}, {6,27}, {6,26}, {20,23}, {12,40}, {12,30}, {21,29}, {1,39}, {18,25}, {17,41}, {7,29}, {6,41}, {6,28}, {9,30}, {16,34}, {5,39}, {20,35}, {20,37}, {4,37}, {4,40}, {16,36}, {8,34}, {3,24}, {11,27}, {10,27}, {20,34}, {1,26}, {4,34}, {10,36}, {10,34}, {15,22}, {18,22}, {15,33}, {14,32}, {6,25}, {20,24}, {2,40}, {9,36}, {16,42}, {5,27}, {15,38}, {19,25}, {3,42}, {16,39}, {13,38}, {4,25}, {3,28}, {7,27}, {20,41}, {14,35}, {13,37}, {3,41}, {17,26}, {6,39}, {7,33}, {13,34}, {11,34}, {7,35}, {17,22}, {21,24}, {2,30}, {15,30}, {19,34}, {9,31}, {1,34}, {21,41}, {6,35}, {3,36}, {4,39}, {16,28}, {18,35}, {7,40}, {9,23}, {19,37}, {8,29}, {4,32}, {1,36}, {14,26} }; // ETB42.48 (= ET42.62) // Bipartite(6,36) Valencies [12,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1671768834048000000 EdgesBipt[42][48]:={ {3,22}, {5,12}, {1,26}, {2,14}, {5,36}, {5,42}, {3,40}, {6,37}, {4,23}, {1,14}, {2,26}, {4,41}, {5,24}, {2,32}, {5,29}, {4,34}, {1,32}, {1,37}, {4,11}, {2,39}, {4,10}, {3,21}, {6,31}, {4,40}, {3,27}, {6,12}, {3,33}, {5,11}, {6,30}, {1,20}, {4,16}, {1,31}, {3,9}, {6,36}, {6,7}, {2,33}, {2,21}, {5,23}, {1,38}, {1,7}, {3,16}, {3,28}, {2,20}, {3,15}, {2,38}, {5,17}, {2,15}, {6,42}, {4,17}, {5,30}, {4,28}, {2,27}, {4,22}, {6,18}, {3,39}, {6,19}, {3,34}, {5,18}, {6,25}, {1,8}, {1,13}, {5,35}, {5,41}, {1,19}, {2,9}, {4,35}, {2,8}, {1,25}, {6,13}, {6,24}, {3,10}, {4,29} }; // ETB42.49 (= ET42.63) // Bipartite(6,36) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 190210142896128 EdgesBipt[42][49]:={ {3,32}, {1,26}, {2,14}, {5,33}, {5,42}, {4,37}, {3,12}, {6,39}, {5,24}, {2,32}, {5,29}, {4,34}, {2,24}, {6,26}, {4,11}, {4,10}, {3,21}, {1,36}, {6,31}, {5,40}, {6,12}, {5,11}, {4,7}, {6,30}, {5,15}, {2,36}, {3,23}, {3,37}, {4,16}, {6,40}, {2,33}, {5,20}, {1,7}, {5,31}, {1,16}, {3,28}, {4,38}, {5,38}, {2,18}, {4,20}, {3,19}, {3,30}, {2,15}, {3,14}, {6,21}, {1,18}, {1,27}, {4,28}, {2,27}, {1,17}, {4,25}, {3,39}, {2,42}, {6,22}, {3,41}, {6,17}, {6,35}, {2,23}, {1,8}, {2,9}, {5,13}, {1,9}, {2,41}, {1,34}, {1,35}, {4,19}, {1,25}, {5,22}, {6,13}, {6,8}, {3,10}, {4,29} }; // ETB42.50 (= ET42.64) // Bipartite(6,36) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 104485552128 EdgesBipt[42][50]:={ {5,12}, {4,8}, {2,14}, {5,36}, {5,42}, {3,40}, {6,37}, {4,23}, {6,34}, {2,26}, {3,12}, {6,39}, {5,24}, {2,32}, {1,29}, {2,29}, {4,34}, {1,37}, {1,33}, {5,27}, {6,14}, {6,26}, {4,11}, {4,10}, {3,21}, {2,40}, {3,33}, {6,10}, {5,15}, {3,23}, {1,31}, {3,24}, {3,9}, {6,15}, {4,30}, {4,32}, {5,7}, {4,18}, {2,16}, {1,7}, {5,31}, {3,11}, {3,16}, {3,28}, {2,20}, {5,19}, {2,38}, {1,21}, {4,20}, {6,38}, {6,27}, {5,30}, {5,39}, {1,17}, {4,22}, {2,28}, {6,22}, {2,17}, {5,18}, {6,25}, {1,13}, {1,19}, {1,9}, {2,41}, {1,41}, {4,35}, {2,8}, {4,42}, {1,25}, {6,13}, {3,36}, {3,35} }; // ETB42.51 (= ET42.65) // Bipartite(14,28) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[42][51]:={ {10,25}, {1,20}, {5,17}, {11,20}, {9,28}, {2,33}, {5,34}, {13,40}, {14,19}, {4,26}, {10,37}, {4,30}, {8,30}, {6,17}, {2,23}, {5,38}, {12,32}, {8,28}, {1,32}, {3,25}, {12,38}, {7,41}, {1,40}, {4,19}, {12,39}, {7,22}, {2,19}, {2,27}, {12,42}, {5,20}, {7,34}, {8,25}, {9,35}, {14,28}, {8,31}, {13,29}, {13,16}, {10,15}, {6,22}, {3,18}, {4,38}, {6,21}, {11,38}, {11,33}, {6,31}, {2,34}, {1,17}, {5,22}, {4,22}, {10,38}, {9,29}, {14,21}, {9,27}, {12,36}, {4,41}, {8,41}, {9,19}, {2,37}, {5,25}, {11,15}, {10,41}, {14,24}, {2,35}, {12,16}, {4,33}, {4,21}, {10,29}, {14,16}, {6,18}, {10,40}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {11,21}, {8,36}, {7,26}, {13,33}, {5,18}, {14,15}, {6,24}, {11,30}, {9,37}, {13,23}, {8,35}, {10,42}, {1,28}, {3,27}, {13,36}, {8,26}, {5,42}, {9,22}, {7,31}, {12,33}, {5,41}, {12,27}, {14,17}, {8,32}, {12,23}, {6,27}, {11,24}, {11,39}, {8,40}, {12,30}, {3,23}, {8,23}, {1,25}, {13,15}, {1,15}, {6,28}, {12,15}, {13,27}, {1,35}, {13,42}, {14,20}, {5,39}, {11,26}, {6,42}, {11,16}, {7,23}, {3,30}, {10,17}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {10,36}, {10,34}, {11,32}, {9,17}, {14,32}, {6,25}, {2,40}, {2,31}, {8,18}, {3,42}, {4,18}, {13,38}, {11,19}, {4,20}, {12,24}, {3,28}, {14,35}, {1,41}, {13,37}, {3,31}, {9,24}, {10,20}, {6,39}, {7,33}, {6,37}, {13,34}, {7,35}, {5,21}, {9,31}, {5,37}, {7,19}, {9,21}, {9,16}, {3,36}, {4,39}, {7,40}, {1,36}, {14,29}, {14,26}, {7,18} }; // ETB42.52 (= ET42.66) // Bipartite(14,28) Valencies [12,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[42][52]:={ {11,17}, {3,33}, {2,24}, {13,32}, {6,32}, {6,16}, {11,36}, {12,29}, {11,35}, {4,24}, {3,22}, {3,40}, {4,16}, {14,39}, {7,38}, {8,42}, {8,33}, {3,15}, {10,23}, {10,26}, {2,15}, {14,38}, {4,31}, {10,33}, {1,19}, {3,35}, {3,37}, {13,35}, {2,26}, {14,31}, {8,39}, {11,41}, {1,21}, {7,36}, {2,41}, {2,28}, {12,34}, {1,30}, {8,15}, {4,23}, {8,27}, {12,37}, {2,42}, {10,22}, {11,28}, {6,29}, {3,17}, {5,40}, {1,38}, {14,33}, {2,36}, {8,19}, {1,18}, {7,20}, {9,32}, {14,36}, {9,26}, {12,20}, {5,29}, {2,38}, {14,30}, {14,40}, {7,39}, {4,42}, {7,32}, {1,31}, {11,22}, {7,25}, {10,28}, {6,30}, {9,34}, {13,22}, {10,21}, {9,42}, {8,17}, {13,31}, {4,35}, {9,25}, {7,16}, {11,23}, {1,23}, {11,29}, {5,30}, {5,24}, {12,28}, {12,25}, {8,22}, {13,25}, {9,20}, {4,15}, {14,41}, {14,37}, {6,23}, {3,26}, {5,28}, {12,26}, {13,30}, {2,17}, {9,40}, {1,42}, {1,24}, {14,22}, {5,31}, {13,24}, {12,19}, {12,40}, {10,32}, {5,36}, {3,21}, {6,19}, {7,29}, {6,41}, {10,39}, {1,37}, {14,25}, {7,28}, {3,16}, {4,37}, {4,40}, {10,35}, {13,19}, {6,36}, {2,21}, {8,34}, {5,33}, {9,18}, {11,27}, {10,27}, {1,16}, {10,18}, {8,24}, {13,41}, {6,38}, {9,33}, {6,34}, {5,27}, {5,26}, {9,39}, {4,25}, {3,38}, {8,20}, {7,27}, {3,41}, {5,15}, {12,31}, {11,34}, {5,19}, {6,20}, {13,39}, {9,15}, {2,30}, {13,17}, {7,37}, {13,20}, {2,18}, {1,34}, {4,17}, {6,35}, {11,42}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {10,16} }; // ETB42.53 (= ET42.67) // Bipartite(14,28) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 98627481501696 EdgesBipt[42][53]:={ {10,25}, {2,24}, {10,24}, {2,33}, {12,29}, {13,21}, {11,35}, {5,34}, {4,26}, {11,25}, {8,30}, {6,17}, {2,23}, {12,22}, {1,32}, {3,25}, {7,41}, {4,19}, {2,19}, {12,41}, {5,20}, {13,35}, {2,26}, {8,39}, {7,34}, {8,25}, {12,34}, {1,30}, {8,15}, {14,28}, {13,29}, {6,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {5,40}, {14,23}, {11,33}, {6,31}, {5,22}, {10,38}, {1,18}, {7,20}, {14,21}, {9,26}, {12,20}, {12,36}, {5,29}, {2,38}, {9,19}, {2,37}, {14,30}, {4,42}, {10,41}, {1,22}, {4,33}, {4,21}, {10,31}, {3,20}, {13,22}, {14,16}, {1,29}, {7,30}, {2,16}, {3,39}, {13,31}, {3,32}, {11,21}, {4,35}, {7,16}, {8,36}, {1,23}, {6,24}, {9,37}, {8,22}, {14,42}, {13,28}, {14,41}, {3,27}, {14,37}, {4,28}, {8,37}, {13,36}, {12,26}, {12,33}, {6,15}, {5,41}, {2,17}, {12,27}, {9,40}, {8,32}, {13,24}, {11,39}, {12,19}, {12,40}, {8,23}, {14,34}, {1,39}, {10,32}, {5,36}, {1,25}, {13,15}, {1,15}, {6,28}, {12,15}, {9,30}, {10,39}, {13,42}, {1,37}, {14,20}, {7,28}, {11,26}, {6,42}, {4,40}, {7,23}, {6,36}, {5,33}, {10,17}, {3,24}, {10,27}, {1,16}, {10,34}, {11,32}, {9,17}, {10,18}, {6,38}, {2,40}, {2,31}, {11,40}, {9,33}, {5,27}, {5,26}, {8,18}, {4,18}, {13,38}, {9,38}, {11,19}, {4,25}, {3,38}, {7,27}, {14,35}, {3,41}, {3,31}, {9,24}, {10,20}, {5,15}, {5,19}, {7,35}, {2,30}, {13,17}, {7,37}, {9,31}, {6,35}, {11,42}, {9,16}, {4,39}, {7,42}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {11,18}, {1,36} }; // ETB42.54 (= ET42.68) // Bipartite(14,28) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 192631799808 EdgesBipt[42][54]:={ {3,33}, {2,24}, {11,20}, {9,28}, {2,33}, {6,32}, {11,36}, {4,27}, {12,29}, {13,21}, {5,34}, {4,24}, {3,40}, {8,30}, {2,23}, {12,22}, {12,32}, {1,32}, {8,33}, {12,38}, {10,26}, {14,38}, {12,39}, {4,31}, {2,19}, {10,33}, {5,20}, {13,35}, {2,26}, {14,31}, {8,39}, {11,41}, {8,25}, {1,30}, {9,35}, {14,28}, {13,16}, {10,15}, {10,22}, {3,17}, {8,16}, {4,38}, {6,21}, {3,34}, {11,33}, {5,22}, {8,19}, {1,18}, {14,21}, {14,36}, {12,17}, {12,36}, {5,29}, {4,41}, {2,38}, {2,37}, {7,39}, {11,15}, {7,32}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {5,23}, {10,29}, {3,20}, {10,21}, {9,42}, {6,18}, {10,40}, {1,29}, {2,16}, {7,26}, {14,15}, {1,23}, {11,29}, {5,30}, {9,37}, {13,23}, {12,25}, {14,42}, {13,28}, {10,42}, {3,27}, {3,26}, {8,37}, {8,26}, {13,30}, {5,41}, {2,17}, {14,17}, {8,32}, {3,19}, {14,22}, {6,27}, {8,40}, {8,23}, {1,39}, {5,36}, {1,25}, {6,41}, {1,15}, {6,28}, {12,15}, {9,30}, {13,27}, {13,42}, {1,37}, {7,28}, {11,26}, {6,42}, {10,35}, {3,24}, {11,27}, {4,34}, {10,36}, {1,16}, {9,17}, {6,25}, {13,41}, {2,40}, {2,31}, {11,40}, {6,34}, {5,27}, {8,18}, {4,18}, {9,38}, {11,19}, {10,19}, {4,25}, {3,38}, {4,20}, {12,24}, {14,35}, {13,37}, {3,41}, {3,31}, {9,24}, {6,39}, {5,15}, {7,33}, {12,31}, {13,34}, {11,34}, {6,20}, {7,35}, {2,30}, {13,20}, {9,31}, {5,37}, {7,19}, {4,17}, {6,35}, {9,21}, {9,16}, {4,39}, {7,40}, {7,42}, {9,23}, {7,21}, {4,32}, {12,18}, {1,36}, {14,29}, {7,18}, {5,16} }; // ETB42.55 (= ET42.69) // Bipartite(14,28) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 88080384 EdgesBipt[42][55]:={ {5,17}, {11,20}, {13,32}, {2,33}, {6,32}, {11,36}, {11,35}, {4,26}, {3,40}, {10,37}, {6,17}, {2,23}, {12,22}, {5,38}, {7,38}, {8,42}, {8,28}, {4,29}, {8,33}, {10,23}, {12,38}, {7,41}, {1,40}, {10,26}, {2,15}, {14,38}, {12,39}, {2,19}, {1,19}, {2,27}, {3,37}, {8,39}, {7,34}, {12,35}, {8,25}, {2,41}, {8,15}, {14,28}, {3,18}, {10,30}, {3,17}, {14,23}, {6,31}, {1,38}, {2,36}, {5,22}, {4,22}, {8,19}, {9,29}, {7,20}, {14,21}, {12,17}, {9,27}, {12,36}, {9,19}, {2,37}, {9,41}, {5,25}, {11,15}, {11,22}, {10,28}, {14,24}, {12,16}, {4,21}, {10,31}, {6,18}, {13,18}, {10,40}, {1,29}, {2,16}, {13,31}, {3,32}, {11,21}, {4,35}, {6,33}, {13,33}, {11,29}, {5,30}, {5,24}, {9,37}, {12,25}, {14,42}, {13,25}, {10,42}, {4,15}, {1,28}, {14,41}, {14,37}, {1,33}, {3,26}, {8,26}, {9,22}, {4,36}, {1,42}, {1,24}, {5,31}, {6,27}, {8,40}, {12,30}, {3,23}, {14,34}, {1,39}, {10,32}, {5,36}, {1,25}, {6,19}, {6,41}, {1,15}, {9,30}, {13,27}, {14,20}, {5,39}, {7,28}, {3,16}, {11,26}, {4,40}, {7,23}, {13,19}, {3,30}, {10,17}, {2,29}, {8,38}, {1,26}, {2,22}, {4,34}, {11,32}, {10,18}, {8,24}, {6,25}, {13,41}, {11,40}, {9,33}, {9,36}, {6,34}, {3,42}, {4,18}, {4,20}, {12,24}, {3,28}, {7,27}, {14,35}, {7,24}, {3,31}, {6,39}, {12,31}, {11,34}, {13,34}, {6,20}, {7,35}, {13,39}, {5,21}, {2,30}, {9,15}, {13,17}, {13,20}, {7,37}, {5,35}, {9,16}, {7,42}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {11,18}, {12,21}, {10,16}, {5,16} }; // ETB42.56 (= ET42.70) // Bipartite(14,28) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21504 EdgesBipt[42][56]:={ {11,17}, {13,32}, {6,32}, {12,29}, {13,21}, {11,35}, {4,26}, {4,16}, {10,37}, {4,30}, {6,17}, {12,22}, {8,28}, {1,32}, {8,33}, {3,15}, {10,26}, {4,19}, {12,39}, {1,19}, {12,42}, {3,35}, {5,20}, {3,37}, {14,31}, {8,39}, {12,35}, {7,36}, {8,25}, {2,41}, {8,15}, {4,23}, {8,31}, {10,15}, {6,22}, {3,18}, {10,30}, {6,21}, {3,34}, {11,33}, {6,31}, {1,38}, {14,33}, {2,36}, {5,22}, {10,38}, {9,29}, {8,19}, {7,20}, {9,32}, {14,21}, {14,36}, {12,20}, {5,29}, {2,38}, {2,37}, {14,40}, {4,42}, {9,41}, {5,25}, {2,39}, {11,15}, {1,31}, {10,41}, {7,25}, {10,28}, {14,24}, {12,16}, {4,33}, {4,21}, {3,20}, {13,22}, {6,18}, {13,18}, {2,16}, {13,31}, {11,21}, {4,35}, {8,36}, {2,32}, {7,26}, {5,18}, {11,23}, {1,23}, {6,24}, {11,30}, {5,24}, {9,37}, {13,23}, {12,28}, {12,25}, {4,15}, {1,28}, {3,27}, {14,37}, {1,33}, {6,23}, {3,26}, {5,28}, {5,42}, {9,22}, {7,31}, {2,17}, {9,40}, {8,32}, {6,27}, {13,24}, {12,19}, {8,23}, {1,39}, {1,25}, {7,29}, {6,41}, {1,15}, {9,30}, {13,27}, {13,42}, {14,20}, {5,39}, {14,25}, {11,26}, {6,42}, {4,40}, {10,35}, {11,16}, {3,30}, {8,34}, {2,29}, {10,27}, {8,38}, {2,22}, {10,34}, {9,17}, {10,18}, {13,41}, {2,40}, {11,40}, {9,36}, {6,34}, {9,39}, {9,38}, {11,19}, {3,38}, {12,24}, {3,28}, {7,27}, {3,41}, {7,24}, {10,20}, {7,33}, {13,34}, {5,19}, {2,30}, {13,17}, {7,37}, {5,35}, {1,34}, {4,17}, {11,42}, {9,16}, {7,40}, {7,21}, {14,27}, {12,18}, {1,36}, {14,29}, {14,26}, {5,16} }; // ETB42.57 (= ET42.71) // Bipartite(14,28) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1376256 EdgesBipt[42][57]:={ {3,33}, {5,17}, {1,20}, {9,28}, {6,32}, {11,36}, {4,27}, {7,15}, {11,35}, {5,34}, {4,24}, {14,19}, {3,22}, {4,16}, {10,37}, {4,30}, {14,39}, {8,42}, {8,28}, {4,29}, {8,33}, {10,23}, {12,38}, {1,40}, {10,26}, {4,19}, {12,39}, {12,41}, {2,27}, {5,20}, {2,26}, {11,41}, {12,35}, {2,41}, {2,28}, {8,31}, {2,42}, {10,22}, {3,18}, {6,29}, {3,17}, {4,38}, {6,21}, {2,25}, {11,38}, {1,38}, {14,33}, {2,36}, {8,19}, {9,29}, {9,32}, {14,21}, {14,36}, {9,26}, {9,27}, {5,29}, {4,41}, {14,30}, {4,42}, {9,41}, {5,25}, {2,39}, {7,32}, {11,22}, {12,16}, {4,33}, {10,31}, {13,22}, {10,21}, {9,42}, {14,16}, {6,18}, {10,40}, {1,29}, {7,30}, {8,17}, {3,32}, {11,21}, {7,16}, {7,26}, {6,33}, {13,33}, {11,23}, {1,23}, {6,24}, {5,30}, {7,17}, {9,37}, {13,23}, {12,25}, {13,25}, {13,28}, {4,15}, {3,27}, {4,28}, {8,37}, {5,28}, {13,36}, {5,42}, {12,26}, {7,31}, {6,15}, {2,17}, {12,27}, {9,40}, {8,32}, {3,19}, {1,24}, {14,22}, {5,31}, {11,24}, {13,24}, {12,40}, {12,30}, {8,23}, {14,34}, {1,39}, {1,25}, {6,19}, {7,29}, {1,15}, {13,42}, {1,37}, {14,20}, {5,39}, {14,25}, {3,16}, {10,35}, {13,19}, {3,30}, {8,34}, {9,18}, {10,17}, {11,37}, {11,27}, {1,26}, {2,22}, {10,36}, {10,34}, {11,32}, {6,38}, {2,40}, {2,31}, {6,34}, {8,18}, {13,38}, {12,24}, {8,20}, {14,35}, {13,37}, {3,41}, {3,31}, {10,20}, {5,15}, {6,20}, {7,35}, {13,39}, {9,15}, {1,34}, {6,35}, {3,36}, {7,40}, {9,23}, {7,21}, {11,18}, {12,21}, {7,18}, {5,16} }; // ETB42.58 (= ET42.72) // Bipartite(18,24) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 300918390128640000 EdgesBipt[42][58]:={ {3,33}, {10,24}, {1,20}, {2,24}, {13,32}, {2,33}, {18,39}, {5,34}, {13,40}, {4,24}, {16,26}, {4,26}, {17,38}, {4,30}, {11,25}, {16,40}, {12,22}, {5,38}, {8,28}, {18,38}, {15,31}, {1,32}, {8,33}, {1,27}, {3,25}, {12,38}, {1,40}, {10,26}, {17,34}, {12,39}, {1,19}, {12,42}, {3,35}, {3,37}, {13,35}, {11,41}, {12,35}, {7,36}, {17,21}, {8,25}, {2,41}, {2,28}, {12,34}, {9,35}, {14,28}, {18,34}, {10,22}, {6,22}, {15,25}, {18,42}, {10,30}, {16,30}, {4,38}, {15,29}, {2,25}, {11,38}, {11,33}, {6,31}, {14,33}, {2,36}, {5,22}, {4,22}, {10,38}, {9,29}, {7,20}, {17,37}, {14,21}, {14,36}, {16,24}, {9,27}, {5,29}, {8,41}, {9,19}, {2,37}, {14,40}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {1,31}, {11,22}, {10,28}, {14,24}, {17,33}, {15,27}, {6,30}, {15,19}, {2,20}, {10,40}, {3,39}, {13,31}, {18,30}, {11,21}, {9,25}, {15,41}, {8,36}, {2,32}, {16,32}, {1,23}, {11,29}, {5,30}, {17,30}, {11,30}, {15,35}, {9,37}, {13,23}, {15,37}, {13,28}, {10,42}, {18,26}, {1,28}, {18,27}, {14,41}, {3,27}, {14,37}, {4,28}, {3,29}, {6,23}, {16,38}, {8,37}, {13,36}, {18,31}, {5,42}, {12,26}, {16,22}, {7,31}, {5,41}, {4,36}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {13,24}, {6,27}, {17,25}, {12,19}, {8,40}, {6,26}, {12,30}, {3,23}, {18,19}, {1,39}, {10,32}, {17,29}, {3,21}, {6,19}, {17,41}, {18,23}, {13,27}, {1,35}, {14,20}, {15,21}, {16,34}, {14,25}, {7,28}, {11,26}, {6,42}, {4,40}, {7,23}, {13,19}, {16,36}, {2,21}, {5,33}, {11,37}, {2,29}, {4,34}, {10,36}, {10,34}, {18,22}, {14,32}, {15,33}, {16,20}, {8,24}, {6,38}, {2,40}, {9,33}, {16,42}, {6,34}, {5,26}, {9,39}, {4,20}, {8,20}, {7,27}, {15,23}, {3,41}, {7,24}, {3,31}, {15,39}, {10,20}, {17,26}, {6,39}, {12,31}, {11,34}, {17,42}, {7,35}, {13,39}, {17,22}, {5,21}, {13,20}, {9,31}, {5,37}, {7,19}, {6,35}, {11,42}, {9,21}, {16,28}, {18,35}, {7,40}, {9,23}, {8,29}, {4,32}, {1,36}, {14,29} }; // ETB42.59 (= ET42.73) // Bipartite(18,24) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3761479876608 EdgesBipt[42][59]:={ {16,41}, {10,25}, {1,20}, {2,24}, {10,24}, {11,20}, {17,35}, {11,36}, {17,36}, {13,21}, {11,35}, {4,24}, {15,24}, {16,26}, {16,33}, {4,26}, {3,40}, {11,25}, {8,30}, {16,40}, {12,22}, {7,38}, {8,42}, {16,31}, {18,38}, {15,31}, {1,27}, {10,23}, {12,38}, {10,26}, {17,20}, {14,38}, {7,22}, {4,31}, {12,41}, {10,33}, {12,42}, {1,19}, {3,35}, {5,20}, {3,37}, {13,35}, {2,26}, {11,41}, {1,21}, {16,25}, {7,36}, {12,34}, {1,30}, {18,41}, {16,23}, {9,35}, {4,23}, {13,29}, {2,42}, {18,34}, {6,22}, {18,42}, {11,28}, {15,29}, {11,33}, {1,38}, {2,34}, {9,29}, {7,20}, {9,32}, {14,21}, {15,32}, {16,24}, {18,20}, {9,27}, {12,20}, {12,36}, {15,40}, {4,41}, {2,38}, {9,19}, {2,37}, {14,30}, {14,40}, {4,42}, {5,25}, {17,39}, {17,23}, {10,41}, {11,31}, {14,24}, {17,33}, {1,22}, {15,27}, {6,30}, {4,33}, {5,23}, {10,31}, {13,22}, {15,19}, {10,40}, {1,29}, {7,30}, {3,39}, {18,30}, {3,32}, {2,32}, {6,33}, {16,32}, {11,23}, {15,35}, {9,37}, {17,27}, {12,28}, {12,25}, {15,37}, {8,22}, {14,42}, {13,28}, {10,42}, {18,26}, {1,28}, {3,27}, {14,37}, {18,36}, {18,33}, {3,29}, {8,37}, {5,28}, {13,36}, {8,26}, {17,31}, {12,26}, {12,33}, {13,30}, {5,41}, {17,28}, {9,40}, {8,32}, {8,21}, {3,19}, {14,22}, {5,31}, {17,25}, {11,39}, {6,26}, {8,40}, {12,30}, {3,23}, {14,34}, {10,32}, {18,25}, {5,36}, {3,21}, {17,19}, {17,41}, {7,29}, {6,41}, {6,28}, {13,27}, {10,39}, {1,35}, {1,37}, {15,21}, {16,34}, {5,39}, {7,28}, {6,42}, {4,40}, {13,19}, {6,36}, {2,21}, {8,34}, {5,33}, {3,24}, {2,29}, {11,27}, {18,28}, {8,38}, {2,22}, {4,34}, {10,34}, {18,22}, {14,32}, {8,24}, {6,25}, {6,38}, {2,40}, {16,42}, {6,34}, {5,27}, {16,39}, {9,39}, {13,38}, {11,19}, {4,25}, {7,27}, {15,23}, {13,37}, {3,31}, {15,39}, {9,24}, {5,19}, {6,20}, {7,35}, {2,30}, {13,20}, {7,37}, {5,35}, {9,31}, {7,19}, {9,21}, {4,39}, {9,23}, {7,21}, {8,29}, {4,32}, {1,36}, {14,29}, {14,26} }; // ETB42.60 (= ET42.74) // Bipartite(21,21) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 60480 EdgesBipt[42][60]:={ {21,23}, {3,33}, {10,25}, {10,24}, {9,28}, {6,32}, {17,35}, {18,39}, {4,27}, {12,29}, {11,35}, {13,40}, {15,24}, {16,26}, {16,33}, {18,29}, {4,26}, {3,40}, {17,38}, {10,37}, {18,32}, {8,30}, {16,40}, {21,32}, {14,39}, {2,23}, {5,38}, {12,32}, {7,38}, {8,42}, {8,28}, {16,31}, {15,31}, {4,29}, {20,27}, {1,27}, {3,25}, {19,24}, {1,40}, {10,26}, {17,34}, {14,38}, {12,39}, {4,31}, {12,41}, {2,27}, {3,35}, {21,35}, {2,26}, {8,39}, {7,34}, {11,41}, {16,25}, {12,35}, {7,36}, {2,41}, {2,28}, {5,32}, {14,28}, {9,35}, {20,30}, {8,27}, {13,29}, {16,29}, {10,22}, {11,28}, {6,29}, {4,38}, {15,29}, {19,33}, {14,23}, {20,38}, {6,40}, {6,31}, {1,38}, {2,34}, {5,22}, {4,22}, {17,37}, {15,32}, {16,24}, {12,36}, {15,40}, {8,41}, {2,38}, {2,37}, {19,29}, {14,30}, {19,22}, {4,42}, {9,41}, {2,39}, {17,39}, {17,23}, {11,22}, {7,25}, {2,35}, {1,22}, {19,38}, {6,30}, {4,33}, {5,23}, {10,29}, {10,31}, {13,22}, {16,37}, {10,40}, {1,29}, {3,39}, {13,31}, {18,30}, {3,32}, {9,25}, {15,41}, {13,33}, {6,33}, {2,32}, {7,26}, {19,42}, {5,30}, {17,30}, {11,30}, {21,25}, {12,28}, {12,25}, {14,42}, {18,24}, {8,35}, {10,42}, {19,31}, {14,41}, {20,22}, {1,33}, {21,31}, {18,33}, {3,29}, {6,23}, {16,38}, {8,37}, {21,33}, {5,28}, {13,36}, {15,36}, {8,26}, {18,31}, {5,42}, {16,22}, {7,31}, {5,41}, {4,36}, {21,39}, {17,28}, {9,40}, {1,24}, {14,22}, {13,24}, {11,39}, {20,23}, {12,40}, {20,39}, {12,30}, {21,29}, {3,23}, {8,23}, {14,34}, {18,25}, {21,30}, {1,25}, {19,36}, {6,41}, {6,28}, {18,23}, {9,30}, {13,27}, {13,42}, {1,37}, {16,34}, {20,35}, {20,37}, {4,37}, {11,26}, {13,26}, {4,40}, {6,36}, {8,34}, {11,37}, {3,24}, {11,27}, {18,28}, {10,27}, {8,38}, {20,34}, {1,26}, {2,22}, {10,36}, {10,34}, {11,32}, {14,32}, {15,33}, {6,25}, {20,42}, {9,33}, {9,36}, {16,42}, {5,27}, {19,25}, {5,26}, {15,28}, {9,39}, {13,38}, {4,25}, {12,24}, {3,28}, {7,27}, {20,41}, {15,23}, {21,36}, {3,41}, {7,24}, {15,39}, {9,24}, {18,40}, {17,26}, {7,33}, {12,31}, {13,34}, {11,34}, {17,42}, {17,22}, {21,24}, {15,30}, {19,34}, {7,37}, {5,35}, {9,31}, {1,34}, {5,37}, {21,41}, {6,35}, {17,32}, {11,42}, {3,36}, {18,35}, {7,40}, {7,42}, {9,23}, {19,37}, {20,32}, {14,27}, {19,27}, {1,36}, {14,26} }; // ETB42.61 (= ET42.75) // Bipartite(21,21) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 26330359136256 EdgesBipt[42][61]:={ {16,41}, {10,24}, {9,28}, {13,32}, {2,33}, {6,32}, {17,35}, {11,36}, {17,36}, {18,39}, {4,27}, {12,29}, {16,26}, {16,33}, {18,29}, {3,22}, {21,40}, {17,38}, {18,32}, {4,30}, {11,25}, {16,27}, {16,40}, {21,32}, {14,39}, {2,23}, {12,22}, {5,38}, {7,38}, {8,42}, {8,28}, {4,29}, {1,32}, {8,33}, {12,38}, {19,24}, {7,41}, {1,40}, {17,34}, {14,38}, {2,27}, {3,35}, {13,35}, {2,26}, {14,31}, {8,39}, {7,34}, {11,41}, {17,24}, {8,25}, {2,41}, {2,28}, {18,41}, {16,23}, {9,35}, {20,30}, {4,23}, {12,37}, {2,42}, {18,34}, {10,22}, {15,25}, {18,37}, {16,30}, {15,29}, {19,33}, {3,34}, {5,40}, {20,38}, {6,31}, {2,34}, {14,33}, {5,22}, {4,22}, {10,38}, {19,40}, {19,26}, {15,32}, {9,26}, {19,30}, {9,27}, {12,36}, {15,40}, {5,29}, {4,41}, {2,37}, {19,29}, {14,40}, {19,22}, {7,39}, {9,41}, {7,32}, {15,26}, {10,41}, {11,22}, {7,25}, {10,28}, {14,24}, {20,31}, {2,35}, {1,22}, {21,27}, {19,38}, {6,30}, {5,23}, {10,29}, {21,26}, {10,31}, {9,34}, {15,42}, {9,42}, {16,37}, {1,29}, {13,31}, {18,30}, {8,36}, {7,26}, {11,23}, {11,29}, {6,24}, {5,30}, {11,30}, {15,35}, {21,25}, {5,24}, {9,37}, {17,27}, {13,23}, {8,22}, {13,25}, {20,28}, {8,35}, {10,42}, {13,28}, {19,31}, {1,28}, {18,27}, {14,41}, {3,27}, {18,36}, {1,33}, {21,31}, {3,29}, {6,23}, {21,33}, {15,36}, {21,38}, {8,26}, {17,31}, {12,26}, {7,31}, {12,33}, {13,30}, {4,36}, {21,39}, {17,28}, {9,40}, {8,32}, {1,42}, {12,23}, {5,31}, {13,24}, {11,39}, {8,40}, {20,23}, {12,40}, {20,39}, {12,30}, {14,34}, {1,39}, {18,25}, {17,29}, {20,25}, {5,36}, {1,25}, {17,41}, {19,36}, {6,28}, {18,23}, {9,30}, {1,35}, {13,42}, {16,34}, {14,25}, {20,35}, {20,37}, {4,37}, {6,42}, {10,35}, {5,33}, {11,37}, {3,24}, {11,27}, {16,35}, {10,27}, {1,26}, {4,34}, {10,36}, {10,34}, {15,22}, {18,22}, {11,32}, {14,32}, {15,33}, {6,25}, {20,42}, {6,38}, {20,24}, {2,40}, {9,33}, {16,42}, {5,26}, {3,42}, {15,28}, {13,38}, {4,25}, {3,38}, {12,24}, {3,28}, {7,27}, {13,37}, {3,41}, {7,24}, {3,31}, {15,39}, {21,34}, {6,39}, {7,33}, {6,37}, {12,31}, {11,34}, {17,42}, {13,39}, {17,22}, {21,24}, {2,30}, {19,23}, {5,37}, {21,41}, {6,35}, {3,36}, {4,39}, {16,28}, {7,40}, {9,23}, {19,37}, {20,32}, {14,27}, {8,29}, {4,32}, {1,36}, {14,26} }; // ETB42.62 (= ET42.80) // Bipartite(21,21) Valencies [14,14] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 196681931556913152000000 EdgesBipt[42][62]:={ {15,33}, {19,28}, {6,38}, {11,40}, {10,37}, {15,38}, {9,32}, {5,38}, {5,22}, {11,25}, {4,28}, {3,26}, {8,26}, {13,37}, {1,40}, {16,22}, {14,38}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {21,30}, {14,31}, {15,27}, {21,41}, {3,23}, {8,23}, {10,39}, {16,37}, {3,39}, {19,37}, {20,37}, {16,28}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {6,29}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {2,25}, {4,24}, {16,42}, {18,32}, {15,32}, {4,30}, {9,33}, {8,37}, {5,41}, {21,38}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {7,33}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {19,42}, {16,34}, {18,39}, {8,38}, {6,24}, {2,29}, {5,34}, {14,32}, {16,40}, {8,22}, {18,29}, {9,36}, {9,29}, {9,39}, {18,26}, {4,22}, {18,36}, {18,33}, {3,38}, {5,28}, {20,41}, {14,35}, {1,42}, {12,24}, {1,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {5,35}, {14,34}, {3,36}, {17,29}, {20,25}, {1,30}, {19,27}, {14,28}, {6,36}, {3,30}, {11,23}, {3,24}, {10,36}, {14,23}, {13,25}, {19,30}, {8,41}, {9,38}, {9,26}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {20,22}, {15,23}, {12,41}, {20,31}, {19,24}, {11,34}, {17,28}, {21,42}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {10,31}, {13,22}, {1,25}, {13,31}, {9,30}, {3,32}, {7,28}, {8,34}, {10,22}, {5,40}, {10,30}, {16,30}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {11,32}, {15,24}, {21,32}, {3,42}, {14,37}, {14,40}, {9,41}, {16,31}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {21,39}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {7,40}, {2,41}, {17,41}, {5,23}, {20,32}, {2,26}, {18,41}, {10,40}, {18,30}, {2,28}, {8,29}, {9,23}, {3,33}, {16,36}, {14,26}, {19,33}, {19,39}, {4,27}, {15,29}, {2,22}, {18,24}, {2,31}, {18,27}, {1,33}, {20,28}, {21,33}, {12,36}, {16,27}, {19,25}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {7,31}, {12,33}, {12,39}, {17,34}, {21,35}, {11,31}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {15,42}, {1,34}, {7,42}, {21,27}, {6,41}, {21,29}, {17,40}, {20,23}, {19,36}, {18,23}, {6,42}, {13,33}, {14,25}, {20,34}, {11,37}, {11,28}, {10,24}, {10,27}, {10,34}, {16,33}, {8,35}, {2,40}, {14,41}, {17,37}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {2,38}, {12,32}, {15,36}, {21,36}, {8,28}, {20,40}, {1,27}, {5,25}, {17,23}, {15,26}, {14,22}, {9,42}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {21,24}, {21,26}, {1,37}, {8,25}, {18,42}, {2,32}, {6,33}, {11,26}, {11,38}, {21,23} }; // ETB42.63 (= ET42.81) // Bipartite(7,35) Valencies [15,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[42][63]:={ {7,42}, {5,14}, {3,15}, {2,38}, {6,10}, {6,18}, {1,11}, {3,29}, {6,14}, {5,42}, {5,30}, {4,8}, {4,27}, {1,31}, {6,41}, {5,35}, {7,24}, {6,13}, {2,37}, {3,32}, {1,38}, {5,41}, {2,33}, {6,25}, {7,27}, {1,32}, {7,23}, {2,28}, {3,34}, {2,18}, {6,9}, {4,26}, {5,9}, {5,21}, {2,29}, {5,37}, {7,10}, {2,14}, {4,37}, {6,11}, {2,31}, {2,23}, {4,39}, {1,17}, {1,22}, {2,32}, {3,40}, {1,16}, {2,36}, {4,33}, {3,9}, {7,25}, {3,22}, {7,13}, {4,31}, {4,30}, {6,26}, {6,15}, {1,19}, {2,40}, {4,36}, {4,15}, {1,35}, {6,29}, {2,24}, {7,8}, {6,19}, {5,38}, {3,35}, {1,23}, {2,21}, {5,8}, {7,18}, {4,22}, {3,24}, {3,12}, {6,20}, {7,16}, {6,42}, {3,39}, {1,20}, {1,27}, {5,11}, {1,13}, {3,25}, {2,26}, {3,20}, {7,21}, {5,12}, {1,28}, {3,17}, {4,34}, {4,41}, {3,33}, {7,34}, {7,36}, {7,17}, {1,30}, {5,39}, {5,16}, {7,12}, {4,19}, {4,10}, {5,40}, {6,28} }; // ETB42.64 (= ET42.82) // Bipartite(7,35) Valencies [15,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60197437440000000 EdgesBipt[42][64]:={ {1,15}, {4,35}, {7,42}, {2,38}, {4,42}, {6,10}, {4,14}, {1,11}, {6,14}, {3,38}, {6,36}, {6,17}, {4,40}, {5,34}, {1,25}, {2,37}, {3,32}, {5,41}, {1,9}, {2,33}, {7,27}, {1,32}, {7,23}, {5,13}, {3,10}, {3,34}, {3,31}, {2,19}, {5,26}, {4,26}, {6,22}, {1,29}, {4,12}, {3,18}, {3,41}, {7,28}, {5,33}, {3,11}, {2,10}, {2,31}, {2,23}, {7,41}, {4,39}, {1,36}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {4,33}, {2,17}, {4,28}, {5,19}, {5,15}, {6,8}, {7,20}, {7,13}, {5,29}, {7,14}, {3,27}, {6,15}, {2,40}, {4,21}, {7,30}, {4,25}, {2,9}, {6,29}, {7,35}, {2,24}, {6,31}, {4,11}, {5,22}, {1,23}, {5,27}, {5,8}, {1,39}, {6,38}, {2,12}, {5,20}, {5,36}, {3,24}, {7,16}, {7,9}, {4,32}, {6,42}, {3,39}, {1,37}, {4,18}, {3,25}, {2,26}, {7,37}, {3,20}, {7,21}, {5,12}, {3,17}, {6,35}, {6,24}, {7,34}, {1,8}, {1,30}, {2,30}, {1,18}, {4,19}, {5,40}, {6,28} }; // ETB42.65 (= ET42.83) // Bipartite(12,30) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 92876046336000000 EdgesBipt[42][65]:={ {11,17}, {3,33}, {10,25}, {11,20}, {6,32}, {6,16}, {12,29}, {7,15}, {11,35}, {4,24}, {4,16}, {10,37}, {4,30}, {8,30}, {1,13}, {12,22}, {7,38}, {8,42}, {8,28}, {4,29}, {1,27}, {3,15}, {7,41}, {10,26}, {2,19}, {12,41}, {1,19}, {12,42}, {3,35}, {2,26}, {11,41}, {1,21}, {11,14}, {12,35}, {2,28}, {12,34}, {2,14}, {1,30}, {4,23}, {10,22}, {6,22}, {3,17}, {8,16}, {2,25}, {11,38}, {11,33}, {6,31}, {6,40}, {2,34}, {4,22}, {10,38}, {1,18}, {3,14}, {7,20}, {12,17}, {9,27}, {12,36}, {4,41}, {8,41}, {2,38}, {9,19}, {2,37}, {7,39}, {4,42}, {5,25}, {11,15}, {7,32}, {1,31}, {10,28}, {12,16}, {10,31}, {3,20}, {9,42}, {2,13}, {2,20}, {10,40}, {8,17}, {2,16}, {3,39}, {3,32}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {7,26}, {5,18}, {11,23}, {11,29}, {5,30}, {7,17}, {5,24}, {9,37}, {12,28}, {8,22}, {8,35}, {7,14}, {3,27}, {4,28}, {1,33}, {10,13}, {3,29}, {3,26}, {5,42}, {4,36}, {9,13}, {1,42}, {1,24}, {12,23}, {5,31}, {11,39}, {6,26}, {8,40}, {12,40}, {12,30}, {3,23}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {6,14}, {9,30}, {1,37}, {5,39}, {11,26}, {4,40}, {7,23}, {8,34}, {5,33}, {9,18}, {11,27}, {2,22}, {4,34}, {10,34}, {11,32}, {8,24}, {6,25}, {6,38}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {5,27}, {8,18}, {4,18}, {9,39}, {10,19}, {3,38}, {5,13}, {12,24}, {7,27}, {3,41}, {9,24}, {10,20}, {5,15}, {7,33}, {6,37}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {9,15}, {6,13}, {9,31}, {5,37}, {4,17}, {9,21}, {7,21}, {8,29}, {12,18}, {1,36}, {10,16} }; // ETB42.66 (= ET42.84) // Bipartite(12,30) Valencies [15,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 232190115840 EdgesBipt[42][66]:={ {3,33}, {10,24}, {2,24}, {9,28}, {6,32}, {11,36}, {4,27}, {7,15}, {4,24}, {3,40}, {10,37}, {8,30}, {1,13}, {5,38}, {12,22}, {12,32}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {7,22}, {4,31}, {2,19}, {12,41}, {10,33}, {2,27}, {12,42}, {3,35}, {2,26}, {8,39}, {11,41}, {12,35}, {7,36}, {12,34}, {2,14}, {5,32}, {9,35}, {4,23}, {8,27}, {6,22}, {3,18}, {11,28}, {8,16}, {4,38}, {6,21}, {11,38}, {6,40}, {6,31}, {2,34}, {1,17}, {2,36}, {5,22}, {10,38}, {9,29}, {8,19}, {12,20}, {5,29}, {4,41}, {9,19}, {2,37}, {8,14}, {2,39}, {7,32}, {10,41}, {11,22}, {7,13}, {7,25}, {10,28}, {11,31}, {1,22}, {6,30}, {4,33}, {4,21}, {10,31}, {3,20}, {10,21}, {2,20}, {8,17}, {2,16}, {3,39}, {11,21}, {9,25}, {7,16}, {8,36}, {7,26}, {5,18}, {1,23}, {6,24}, {11,29}, {7,17}, {12,25}, {9,20}, {4,13}, {4,28}, {1,33}, {10,13}, {3,29}, {8,37}, {5,28}, {8,26}, {5,42}, {6,15}, {5,41}, {2,17}, {9,13}, {9,40}, {1,42}, {3,19}, {5,31}, {11,39}, {8,40}, {12,40}, {12,30}, {3,23}, {12,14}, {5,36}, {1,25}, {6,41}, {1,15}, {12,15}, {6,14}, {9,30}, {1,35}, {1,37}, {5,39}, {4,37}, {6,42}, {11,26}, {11,16}, {7,23}, {3,30}, {8,34}, {9,18}, {10,17}, {2,29}, {10,27}, {1,26}, {4,34}, {1,16}, {4,14}, {10,34}, {11,32}, {10,18}, {8,24}, {6,25}, {2,40}, {9,33}, {6,34}, {5,26}, {4,18}, {9,39}, {9,38}, {11,19}, {3,38}, {3,28}, {8,20}, {12,24}, {7,27}, {7,33}, {12,31}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {7,37}, {4,17}, {6,35}, {11,42}, {7,42}, {9,23}, {8,29}, {11,18}, {1,36}, {12,21}, {5,16} }; // ETB42.67 (= ET42.85) // Bipartite(12,30) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255941120 EdgesBipt[42][67]:={ {10,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {3,40}, {4,30}, {2,23}, {1,13}, {5,38}, {12,22}, {12,32}, {4,29}, {8,33}, {7,41}, {1,40}, {10,26}, {2,15}, {4,19}, {7,22}, {2,27}, {12,42}, {8,39}, {1,21}, {11,41}, {11,14}, {12,35}, {7,36}, {8,25}, {2,28}, {1,30}, {5,32}, {8,15}, {9,35}, {8,31}, {8,27}, {12,37}, {2,42}, {10,22}, {6,22}, {11,28}, {10,30}, {6,21}, {3,34}, {2,25}, {11,38}, {6,31}, {11,33}, {5,22}, {8,19}, {10,38}, {3,14}, {12,17}, {12,20}, {12,36}, {5,29}, {8,41}, {2,38}, {2,37}, {7,39}, {7,32}, {11,13}, {1,31}, {9,14}, {10,28}, {11,31}, {2,35}, {12,16}, {3,20}, {9,34}, {2,13}, {6,18}, {10,40}, {8,17}, {3,39}, {11,21}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {1,23}, {11,23}, {11,29}, {7,17}, {5,24}, {12,25}, {8,13}, {8,35}, {10,42}, {5,14}, {9,20}, {4,15}, {1,33}, {3,29}, {6,23}, {3,26}, {8,37}, {5,28}, {5,42}, {12,26}, {7,31}, {2,17}, {9,13}, {12,27}, {9,40}, {8,21}, {3,19}, {11,24}, {11,39}, {6,26}, {12,40}, {12,30}, {8,23}, {10,32}, {3,21}, {1,25}, {7,29}, {6,41}, {1,15}, {6,28}, {12,15}, {9,30}, {1,35}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {6,36}, {3,30}, {9,18}, {3,24}, {1,26}, {2,22}, {4,34}, {10,36}, {1,16}, {4,14}, {10,34}, {10,18}, {6,38}, {9,33}, {5,27}, {9,38}, {11,19}, {4,25}, {4,20}, {7,27}, {1,41}, {3,41}, {3,31}, {9,24}, {10,20}, {10,14}, {11,34}, {5,19}, {9,15}, {6,13}, {7,37}, {2,18}, {5,37}, {7,19}, {4,17}, {3,36}, {4,39}, {7,42}, {9,23}, {7,21}, {8,29}, {11,18}, {1,36}, {10,16} }; // ETB42.68 (= ET42.86) // Bipartite(21,21) Valencies [15,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1410877440 EdgesBipt[42][68]:={ {15,33}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {17,42}, {13,39}, {2,35}, {8,40}, {3,35}, {21,30}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {16,37}, {3,39}, {20,37}, {16,28}, {21,28}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {21,22}, {13,27}, {14,29}, {2,33}, {17,35}, {6,32}, {10,42}, {6,29}, {20,26}, {12,28}, {19,31}, {4,24}, {21,40}, {16,42}, {18,32}, {4,30}, {9,33}, {8,37}, {17,39}, {21,38}, {12,38}, {12,26}, {13,30}, {19,22}, {12,42}, {6,39}, {11,39}, {7,33}, {12,31}, {20,29}, {1,24}, {12,23}, {20,39}, {20,35}, {9,35}, {1,29}, {19,42}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {17,36}, {1,38}, {1,26}, {13,41}, {20,36}, {16,40}, {8,22}, {6,34}, {9,39}, {8,42}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {12,24}, {19,38}, {1,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {17,29}, {20,25}, {4,32}, {19,27}, {14,28}, {6,36}, {11,36}, {2,24}, {11,23}, {10,36}, {14,33}, {15,37}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {21,25}, {14,39}, {21,31}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {21,37}, {3,29}, {13,36}, {1,41}, {15,23}, {20,31}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {9,31}, {10,29}, {18,25}, {1,25}, {20,30}, {13,31}, {9,30}, {3,32}, {16,41}, {7,28}, {13,29}, {8,34}, {10,22}, {16,30}, {4,34}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {16,26}, {12,25}, {15,40}, {3,42}, {3,22}, {14,37}, {14,40}, {9,41}, {16,31}, {6,23}, {7,39}, {3,41}, {4,36}, {21,39}, {19,29}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {7,40}, {2,41}, {17,41}, {5,23}, {20,32}, {2,26}, {18,41}, {10,40}, {7,29}, {18,30}, {2,28}, {8,29}, {8,27}, {13,32}, {11,30}, {9,28}, {3,34}, {18,28}, {5,24}, {15,29}, {18,24}, {2,31}, {16,38}, {1,33}, {21,33}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {8,33}, {17,34}, {20,27}, {21,35}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {15,42}, {1,34}, {13,35}, {6,41}, {21,29}, {17,40}, {20,23}, {19,36}, {18,23}, {19,32}, {13,33}, {14,25}, {20,34}, {11,28}, {1,23}, {16,35}, {10,27}, {10,34}, {16,33}, {3,40}, {17,27}, {13,23}, {2,40}, {15,22}, {4,26}, {17,37}, {16,39}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {21,36}, {15,31}, {18,40}, {9,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {14,22}, {9,42}, {5,36}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {21,24}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {6,33}, {18,34}, {11,26}, {15,25}, {5,30}, {9,37} }; // ETB42.69 (= ET42.87) // Bipartite(10,32) Valencies [16,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[42][69]:={ {1,11}, {2,24}, {10,25}, {2,33}, {6,32}, {7,15}, {4,24}, {3,22}, {4,16}, {10,37}, {8,30}, {1,13}, {5,38}, {8,42}, {8,28}, {3,13}, {8,33}, {3,25}, {3,15}, {4,19}, {7,22}, {4,31}, {2,19}, {1,19}, {2,27}, {5,20}, {8,39}, {7,34}, {7,36}, {2,41}, {2,14}, {1,30}, {5,32}, {9,11}, {2,42}, {10,22}, {6,22}, {3,18}, {10,30}, {3,17}, {4,38}, {6,21}, {7,12}, {6,40}, {6,31}, {1,17}, {9,29}, {7,11}, {7,20}, {3,14}, {9,26}, {9,27}, {5,11}, {5,29}, {4,41}, {8,41}, {2,38}, {2,37}, {7,39}, {4,42}, {7,32}, {3,12}, {10,41}, {9,14}, {7,25}, {2,35}, {5,23}, {3,20}, {10,31}, {9,34}, {2,13}, {6,18}, {10,40}, {1,29}, {7,30}, {2,16}, {4,35}, {8,36}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {7,17}, {5,24}, {9,37}, {8,35}, {10,42}, {4,15}, {1,28}, {3,11}, {3,27}, {4,28}, {10,12}, {8,37}, {5,28}, {8,26}, {9,22}, {4,36}, {9,13}, {9,40}, {8,32}, {3,19}, {6,27}, {6,26}, {8,40}, {8,23}, {3,21}, {9,12}, {1,15}, {9,30}, {10,39}, {1,35}, {1,37}, {7,28}, {3,16}, {6,42}, {7,23}, {2,21}, {8,34}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {8,38}, {10,27}, {1,16}, {10,36}, {10,34}, {6,25}, {6,38}, {2,40}, {2,31}, {9,33}, {6,34}, {5,26}, {4,25}, {10,19}, {4,20}, {5,13}, {1,41}, {3,31}, {1,14}, {6,39}, {5,15}, {10,14}, {6,20}, {5,21}, {5,35}, {4,17}, {9,21}, {4,39}, {9,23}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB42.70 (= ET42.88) // Bipartite(10,32) Valencies [16,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 125829120 EdgesBipt[42][70]:={ {1,11}, {3,33}, {2,24}, {1,20}, {10,25}, {9,28}, {2,33}, {6,16}, {6,32}, {7,15}, {5,34}, {4,26}, {4,30}, {6,17}, {1,13}, {8,42}, {4,29}, {3,13}, {1,27}, {3,15}, {10,23}, {1,40}, {10,26}, {4,31}, {10,33}, {3,35}, {5,20}, {8,39}, {7,34}, {7,36}, {8,25}, {2,41}, {2,28}, {1,30}, {5,32}, {9,35}, {9,11}, {10,22}, {6,22}, {10,30}, {3,17}, {6,21}, {2,25}, {5,40}, {6,31}, {10,38}, {7,11}, {7,20}, {3,14}, {9,32}, {9,27}, {5,11}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {2,37}, {7,39}, {4,42}, {3,12}, {10,41}, {10,28}, {4,33}, {4,21}, {9,34}, {2,13}, {6,18}, {1,29}, {7,30}, {2,16}, {3,32}, {8,36}, {1,12}, {6,33}, {2,32}, {7,26}, {5,18}, {1,23}, {5,24}, {8,22}, {10,42}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {10,12}, {3,29}, {8,37}, {8,26}, {9,22}, {7,31}, {6,15}, {2,17}, {4,36}, {9,40}, {8,21}, {3,19}, {1,24}, {5,31}, {6,26}, {8,40}, {8,23}, {1,39}, {5,36}, {1,25}, {6,19}, {9,12}, {10,39}, {3,16}, {4,37}, {6,42}, {10,35}, {7,23}, {2,21}, {3,30}, {8,34}, {9,18}, {10,17}, {2,29}, {8,38}, {2,22}, {4,14}, {8,24}, {6,38}, {2,40}, {6,34}, {5,27}, {8,18}, {9,39}, {9,38}, {4,25}, {10,19}, {4,20}, {5,13}, {8,20}, {3,28}, {7,27}, {1,41}, {3,31}, {2,12}, {1,14}, {9,24}, {5,15}, {6,37}, {10,14}, {7,35}, {5,21}, {5,37}, {7,19}, {4,17}, {6,35}, {9,16}, {7,42}, {9,23}, {1,36}, {7,18}, {5,16} }; // ETB42.71 (= ET42.89) // Bipartite(14,28) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 98627481501696 EdgesBipt[42][71]:={ {3,33}, {10,24}, {11,20}, {13,32}, {2,33}, {6,16}, {6,32}, {11,36}, {4,27}, {12,29}, {13,21}, {7,15}, {11,35}, {3,40}, {11,25}, {6,17}, {2,23}, {12,22}, {7,38}, {4,29}, {1,32}, {8,33}, {7,41}, {1,40}, {10,26}, {14,38}, {7,22}, {2,19}, {1,19}, {2,27}, {10,33}, {12,42}, {3,35}, {13,35}, {2,26}, {14,31}, {8,39}, {7,34}, {11,41}, {12,35}, {7,36}, {8,25}, {2,41}, {8,15}, {8,31}, {12,37}, {13,16}, {11,28}, {3,17}, {6,21}, {3,34}, {5,40}, {2,25}, {14,23}, {6,31}, {1,38}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {10,38}, {1,18}, {7,20}, {9,32}, {14,36}, {9,26}, {9,27}, {12,36}, {5,29}, {4,41}, {9,19}, {2,37}, {14,30}, {4,42}, {9,41}, {2,39}, {11,15}, {1,31}, {10,41}, {11,22}, {10,28}, {14,24}, {1,22}, {6,30}, {12,16}, {5,23}, {4,21}, {3,20}, {10,31}, {9,34}, {10,21}, {2,20}, {14,16}, {6,18}, {13,18}, {10,40}, {1,29}, {7,30}, {8,17}, {2,16}, {13,31}, {11,21}, {4,35}, {9,25}, {7,16}, {8,36}, {2,32}, {14,15}, {6,24}, {11,29}, {5,30}, {7,17}, {9,37}, {13,23}, {12,28}, {8,22}, {13,25}, {10,42}, {13,28}, {9,20}, {4,15}, {14,41}, {3,27}, {14,37}, {4,28}, {1,33}, {6,23}, {3,26}, {5,28}, {8,26}, {5,42}, {12,26}, {7,31}, {12,33}, {13,30}, {4,36}, {9,40}, {14,17}, {8,32}, {3,19}, {1,24}, {12,23}, {14,22}, {13,24}, {11,39}, {8,40}, {12,19}, {12,40}, {12,30}, {14,34}, {1,39}, {5,36}, {3,21}, {1,25}, {7,29}, {1,15}, {6,28}, {12,15}, {9,30}, {13,42}, {14,20}, {6,42}, {10,35}, {7,23}, {5,33}, {9,18}, {10,17}, {3,24}, {11,27}, {8,38}, {10,27}, {1,26}, {4,34}, {10,34}, {11,32}, {8,24}, {6,25}, {6,38}, {2,40}, {9,33}, {5,26}, {8,18}, {3,42}, {4,18}, {9,39}, {13,38}, {4,25}, {10,19}, {3,38}, {4,20}, {3,28}, {7,27}, {13,37}, {3,41}, {7,24}, {3,31}, {10,20}, {6,39}, {5,15}, {6,37}, {11,34}, {5,19}, {13,39}, {5,21}, {2,30}, {13,17}, {7,37}, {5,35}, {2,18}, {5,37}, {6,35}, {9,16}, {11,42}, {4,39}, {9,23}, {14,27}, {8,29}, {4,32}, {11,18}, {1,36}, {12,21}, {14,29}, {5,16} }; // ETB42.72 (= ET42.90) // Bipartite(18,24) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 146794677780086784000000 EdgesBipt[42][72]:={ {15,33}, {10,37}, {14,36}, {6,25}, {5,38}, {4,28}, {12,22}, {8,26}, {13,37}, {1,40}, {16,22}, {14,38}, {17,42}, {2,35}, {17,33}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {3,21}, {16,37}, {3,39}, {16,28}, {5,32}, {1,35}, {4,37}, {4,40}, {14,29}, {13,40}, {2,33}, {17,35}, {4,38}, {11,35}, {11,29}, {11,27}, {1,20}, {12,28}, {8,30}, {9,33}, {5,41}, {17,39}, {7,41}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {15,30}, {13,20}, {16,25}, {15,19}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {13,41}, {16,40}, {9,36}, {6,34}, {9,39}, {8,42}, {4,22}, {18,33}, {18,36}, {5,27}, {15,28}, {2,39}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {17,29}, {18,19}, {7,19}, {4,32}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {4,41}, {8,41}, {14,21}, {1,41}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {13,29}, {9,25}, {17,30}, {10,22}, {7,23}, {6,22}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {15,24}, {16,26}, {12,25}, {15,40}, {3,42}, {3,22}, {13,38}, {18,31}, {16,31}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {10,28}, {9,24}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {10,40}, {18,21}, {9,21}, {7,29}, {18,30}, {8,29}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {18,28}, {5,24}, {16,20}, {18,24}, {16,38}, {18,27}, {12,36}, {5,26}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {15,42}, {1,34}, {13,35}, {5,21}, {17,24}, {12,34}, {17,21}, {6,28}, {16,23}, {6,42}, {4,35}, {14,20}, {15,21}, {7,26}, {1,23}, {16,35}, {11,20}, {14,42}, {10,34}, {3,40}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {15,31}, {18,40}, {9,40}, {4,20}, {8,20}, {17,23}, {10,23}, {4,19}, {8,39}, {3,37}, {9,42}, {16,19}, {5,36}, {9,34}, {10,32}, {17,32}, {12,19}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.73 (= ET42.91) // Bipartite(18,24) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7044820107264 EdgesBipt[42][73]:={ {13,21}, {15,33}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {3,26}, {8,26}, {13,37}, {1,40}, {16,22}, {14,38}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {3,35}, {8,21}, {3,19}, {15,27}, {1,19}, {3,23}, {3,20}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {4,38}, {11,35}, {11,29}, {1,20}, {2,34}, {2,25}, {16,42}, {18,32}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {7,27}, {12,42}, {6,39}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {15,30}, {12,23}, {13,20}, {18,35}, {9,35}, {15,19}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {16,40}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {15,28}, {5,28}, {14,35}, {12,24}, {1,31}, {3,31}, {11,22}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {4,32}, {14,28}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {13,25}, {14,39}, {8,24}, {9,38}, {14,21}, {9,26}, {18,20}, {18,38}, {3,29}, {17,31}, {1,41}, {2,23}, {10,19}, {12,41}, {3,25}, {11,34}, {7,35}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {13,22}, {1,25}, {6,19}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {16,41}, {7,28}, {17,30}, {10,22}, {5,40}, {16,30}, {7,23}, {6,22}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {15,24}, {12,25}, {15,40}, {3,42}, {13,38}, {14,40}, {9,41}, {7,39}, {3,41}, {15,39}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {17,25}, {2,19}, {7,40}, {2,41}, {5,23}, {5,20}, {18,41}, {10,40}, {18,21}, {9,21}, {7,29}, {18,30}, {2,28}, {9,23}, {7,21}, {8,36}, {8,27}, {16,36}, {13,32}, {14,26}, {11,30}, {4,27}, {2,22}, {18,24}, {2,31}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {11,19}, {8,33}, {11,31}, {13,34}, {11,41}, {7,22}, {15,42}, {1,34}, {5,21}, {7,42}, {17,24}, {17,21}, {6,28}, {16,23}, {6,42}, {18,23}, {13,33}, {14,20}, {15,21}, {11,37}, {11,28}, {1,23}, {16,35}, {10,34}, {16,33}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {9,27}, {12,32}, {15,36}, {15,31}, {4,20}, {8,20}, {10,23}, {4,19}, {14,22}, {8,39}, {3,37}, {9,42}, {10,32}, {4,39}, {12,35}, {7,36}, {17,32}, {12,19}, {1,37}, {8,25}, {2,42}, {18,42}, {6,33}, {15,25}, {5,33}, {6,40} }; // ETB42.74 (= ET42.92) // Bipartite(18,24) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 905969664 EdgesBipt[42][74]:={ {13,21}, {6,38}, {15,38}, {9,32}, {5,38}, {5,22}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {16,22}, {14,38}, {13,39}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {15,27}, {1,19}, {3,23}, {8,23}, {1,21}, {3,39}, {16,37}, {5,32}, {1,35}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {11,29}, {10,42}, {6,29}, {2,34}, {2,25}, {4,24}, {18,32}, {15,32}, {4,30}, {8,37}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {7,33}, {12,31}, {17,26}, {1,24}, {13,24}, {12,23}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,36}, {15,19}, {1,29}, {12,37}, {16,34}, {10,35}, {8,38}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {18,29}, {9,36}, {6,34}, {9,29}, {9,20}, {18,26}, {18,36}, {8,19}, {3,38}, {5,27}, {15,28}, {5,28}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {3,30}, {3,24}, {10,36}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,41}, {9,38}, {14,21}, {9,26}, {18,20}, {18,38}, {17,31}, {13,36}, {1,41}, {10,19}, {3,25}, {11,34}, {17,28}, {7,35}, {12,30}, {4,33}, {1,22}, {7,34}, {10,31}, {10,29}, {18,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {14,27}, {16,41}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {17,38}, {6,31}, {11,32}, {15,24}, {12,25}, {15,40}, {3,42}, {3,22}, {14,40}, {9,41}, {7,39}, {4,36}, {15,39}, {7,24}, {10,28}, {9,24}, {17,25}, {2,19}, {6,20}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {18,41}, {10,40}, {10,21}, {7,29}, {18,30}, {8,29}, {9,23}, {7,21}, {8,27}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {15,29}, {2,22}, {16,20}, {18,24}, {2,31}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {4,42}, {10,41}, {4,25}, {14,30}, {11,19}, {8,33}, {12,39}, {11,31}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {5,21}, {6,41}, {17,40}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {13,33}, {14,20}, {11,37}, {1,23}, {16,35}, {10,24}, {14,42}, {11,20}, {10,34}, {16,33}, {8,35}, {17,27}, {15,22}, {15,20}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {5,42}, {2,38}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {4,20}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {8,39}, {3,37}, {9,42}, {4,39}, {12,35}, {7,36}, {12,19}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {11,26}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.75 (= ET42.93) // Bipartite(21,21) Valencies [16,16] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 241920 EdgesBipt[42][75]:={ {15,33}, {6,38}, {19,28}, {11,40}, {15,38}, {14,36}, {9,32}, {6,25}, {5,22}, {4,28}, {12,22}, {3,26}, {8,26}, {1,40}, {16,22}, {14,38}, {13,39}, {17,42}, {2,35}, {8,40}, {3,35}, {10,33}, {14,31}, {15,27}, {21,41}, {3,23}, {8,23}, {10,39}, {16,37}, {19,37}, {21,28}, {5,32}, {1,35}, {8,31}, {4,40}, {4,37}, {21,22}, {13,27}, {14,29}, {11,35}, {6,29}, {11,27}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {21,40}, {16,42}, {18,32}, {15,32}, {8,30}, {9,33}, {20,24}, {17,39}, {21,38}, {12,38}, {7,41}, {12,26}, {13,30}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {17,26}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {12,37}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {20,36}, {16,40}, {20,42}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {4,22}, {18,33}, {18,36}, {5,27}, {15,28}, {5,28}, {20,41}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {19,23}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {14,23}, {11,33}, {13,25}, {21,25}, {21,31}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {18,38}, {17,31}, {13,36}, {1,41}, {20,22}, {15,23}, {12,41}, {3,25}, {19,24}, {11,34}, {17,28}, {21,42}, {7,35}, {2,27}, {12,30}, {1,22}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {16,41}, {7,28}, {19,41}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {16,30}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {21,32}, {16,26}, {15,40}, {3,42}, {14,37}, {13,38}, {14,40}, {9,41}, {16,31}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {5,31}, {17,22}, {17,25}, {19,34}, {2,41}, {2,26}, {18,41}, {10,40}, {7,29}, {18,30}, {8,29}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {19,39}, {9,28}, {3,34}, {4,27}, {5,24}, {15,29}, {2,22}, {18,24}, {2,31}, {1,33}, {20,28}, {21,33}, {16,27}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {13,35}, {7,42}, {21,27}, {21,29}, {17,24}, {17,40}, {12,34}, {19,36}, {6,28}, {16,23}, {6,42}, {18,23}, {4,35}, {13,33}, {20,34}, {7,26}, {11,37}, {1,23}, {10,24}, {14,42}, {10,34}, {16,33}, {13,23}, {8,35}, {2,40}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {21,36}, {8,28}, {18,40}, {9,40}, {20,40}, {1,27}, {17,23}, {10,23}, {15,26}, {3,37}, {14,22}, {8,39}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {6,35}, {17,32}, {21,24}, {1,37}, {2,42}, {18,42}, {6,33}, {2,32}, {18,34}, {11,26}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40}, {21,23} }; // ETB42.76 (= ET42.96) // Bipartite(6,36) Valencies [18,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 416162911506546032640000 EdgesBipt[42][76]:={ {1,15}, {6,39}, {5,14}, {3,15}, {4,42}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {6,14}, {5,30}, {5,42}, {4,8}, {3,7}, {1,31}, {6,23}, {1,40}, {2,20}, {4,40}, {5,34}, {4,16}, {2,37}, {5,41}, {2,33}, {6,7}, {1,32}, {5,13}, {2,28}, {3,31}, {6,34}, {5,26}, {4,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {5,37}, {4,12}, {3,41}, {5,33}, {3,11}, {4,20}, {6,11}, {2,41}, {1,36}, {3,13}, {2,16}, {2,32}, {1,16}, {2,36}, {2,17}, {4,28}, {2,13}, {1,12}, {3,9}, {3,23}, {5,29}, {3,27}, {4,30}, {6,15}, {6,26}, {1,19}, {2,40}, {4,36}, {2,9}, {1,35}, {4,38}, {2,24}, {6,31}, {5,22}, {6,19}, {5,38}, {3,35}, {1,23}, {2,21}, {1,7}, {6,30}, {1,39}, {6,38}, {2,12}, {4,22}, {5,17}, {3,21}, {4,32}, {6,42}, {3,39}, {2,8}, {1,20}, {1,27}, {4,18}, {5,10}, {3,25}, {2,25}, {1,28}, {3,17}, {3,37}, {6,35}, {5,18}, {4,34}, {6,27}, {3,33}, {1,8}, {5,25}, {4,10}, {4,24}, {1,24} }; // ETB42.77 (= ET42.97) // Bipartite(15,27) Valencies [18,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 495432037507792896000000 EdgesBipt[42][77]:={ {15,33}, {10,37}, {14,36}, {6,25}, {5,38}, {4,28}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {2,35}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {12,16}, {2,18}, {3,21}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {14,29}, {13,40}, {2,33}, {4,38}, {11,35}, {11,29}, {11,17}, {11,27}, {1,20}, {3,18}, {9,18}, {10,17}, {12,28}, {8,30}, {9,33}, {1,17}, {4,16}, {5,41}, {7,41}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {10,20}, {15,30}, {13,20}, {15,19}, {1,29}, {6,18}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {13,16}, {2,29}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {13,41}, {9,36}, {6,34}, {9,39}, {8,42}, {4,22}, {5,27}, {15,28}, {2,39}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {13,17}, {7,19}, {4,32}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {8,41}, {14,21}, {1,41}, {2,23}, {10,19}, {9,22}, {9,19}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {14,27}, {7,28}, {12,18}, {13,29}, {9,25}, {10,22}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,42}, {15,40}, {3,22}, {13,38}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {10,28}, {9,24}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {8,29}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {12,36}, {5,26}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {12,34}, {6,28}, {6,42}, {4,35}, {14,20}, {15,21}, {7,26}, {7,16}, {1,23}, {5,18}, {11,20}, {14,42}, {15,18}, {10,34}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {15,31}, {9,40}, {4,20}, {8,20}, {10,23}, {4,19}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {12,19}, {1,37}, {2,42}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.78 (= ET42.98) // Bipartite(21,21) Valencies [18,18] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 789910774087680 EdgesBipt[42][78]:={ {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {21,30}, {14,31}, {15,27}, {21,41}, {3,23}, {16,37}, {19,37}, {20,37}, {16,28}, {21,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {19,40}, {20,38}, {2,34}, {19,31}, {2,25}, {4,24}, {21,40}, {16,42}, {18,32}, {15,32}, {4,30}, {9,33}, {20,24}, {5,41}, {21,38}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {14,34}, {3,36}, {19,23}, {17,29}, {20,25}, {4,32}, {19,27}, {14,28}, {6,36}, {16,29}, {11,36}, {3,30}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {21,25}, {14,39}, {21,31}, {19,30}, {8,24}, {8,41}, {9,26}, {18,38}, {21,37}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {20,22}, {12,41}, {9,22}, {20,31}, {19,24}, {17,28}, {21,42}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {19,41}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {21,32}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {21,39}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {5,31}, {17,22}, {19,34}, {7,40}, {2,41}, {17,41}, {5,23}, {20,32}, {2,26}, {10,40}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {18,28}, {5,24}, {15,29}, {2,22}, {18,24}, {1,33}, {20,28}, {21,33}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {21,35}, {11,31}, {14,24}, {13,34}, {7,25}, {1,34}, {15,42}, {13,35}, {7,42}, {21,27}, {6,41}, {17,24}, {17,40}, {20,23}, {12,34}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {14,25}, {20,34}, {7,26}, {11,37}, {11,28}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {3,27}, {9,27}, {7,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {8,39}, {9,42}, {5,36}, {9,34}, {4,39}, {6,35}, {21,24}, {21,26}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {11,26}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {21,23} }; // ETB42.79 (= ET42.99) // Bipartite(7,35) Valencies [20,4] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[42][79]:={ {1,15}, {4,35}, {7,19}, {5,32}, {6,39}, {7,39}, {6,12}, {4,42}, {4,14}, {2,22}, {3,38}, {6,36}, {6,17}, {7,40}, {2,11}, {6,23}, {1,40}, {2,20}, {4,40}, {5,34}, {1,25}, {7,38}, {4,16}, {7,33}, {5,24}, {1,9}, {6,32}, {7,31}, {3,30}, {6,40}, {7,15}, {5,13}, {3,10}, {3,31}, {2,19}, {6,34}, {2,15}, {5,26}, {6,22}, {7,11}, {3,19}, {1,29}, {4,12}, {3,18}, {3,41}, {7,28}, {1,34}, {3,11}, {5,23}, {5,33}, {2,10}, {4,20}, {2,41}, {1,10}, {7,26}, {7,41}, {1,36}, {3,13}, {2,16}, {6,33}, {6,21}, {2,17}, {4,28}, {7,29}, {3,14}, {2,13}, {1,12}, {4,29}, {5,19}, {5,15}, {6,8}, {7,20}, {3,23}, {6,37}, {5,29}, {7,14}, {2,42}, {3,27}, {2,34}, {4,21}, {7,30}, {4,17}, {2,35}, {5,28}, {4,25}, {2,9}, {1,26}, {7,35}, {4,38}, {6,31}, {4,11}, {3,42}, {5,22}, {2,27}, {5,27}, {6,30}, {1,39}, {6,38}, {2,39}, {2,12}, {5,20}, {3,28}, {3,26}, {5,36}, {5,17}, {5,31}, {1,42}, {6,16}, {3,21}, {1,14}, {1,41}, {7,9}, {4,32}, {2,8}, {1,37}, {7,22}, {3,16}, {4,18}, {5,10}, {7,32}, {3,8}, {7,37}, {1,33}, {2,25}, {3,36}, {4,9}, {3,37}, {6,24}, {6,35}, {5,18}, {6,27}, {4,23}, {1,8}, {4,13}, {1,21}, {2,30}, {1,18}, {5,25}, {4,24}, {1,24} }; // ETB42.80 (= ET42.100) // Bipartite(7,35) Valencies [20,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60197437440000000 EdgesBipt[42][80]:={ {1,15}, {4,35}, {6,39}, {5,14}, {4,42}, {6,10}, {6,18}, {4,14}, {1,11}, {6,14}, {3,38}, {5,30}, {5,42}, {4,8}, {4,27}, {1,31}, {6,17}, {2,11}, {5,35}, {7,24}, {6,23}, {1,40}, {2,20}, {1,25}, {7,38}, {2,37}, {1,38}, {2,33}, {6,32}, {6,25}, {7,31}, {7,27}, {1,32}, {7,15}, {7,23}, {3,10}, {3,34}, {3,31}, {2,19}, {2,18}, {6,9}, {5,26}, {5,9}, {5,21}, {3,19}, {1,29}, {5,37}, {3,41}, {7,10}, {5,23}, {5,33}, {4,20}, {6,11}, {2,41}, {2,23}, {1,10}, {7,41}, {4,39}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {3,40}, {6,21}, {4,28}, {7,29}, {3,14}, {2,13}, {1,12}, {4,29}, {5,19}, {5,15}, {7,20}, {6,37}, {7,13}, {5,29}, {3,27}, {2,34}, {1,19}, {2,40}, {4,36}, {4,21}, {7,30}, {5,28}, {4,15}, {2,9}, {4,25}, {1,26}, {6,31}, {4,11}, {3,42}, {5,22}, {7,8}, {2,27}, {3,35}, {6,30}, {5,8}, {1,39}, {6,38}, {2,39}, {2,12}, {4,22}, {3,28}, {3,26}, {5,36}, {3,24}, {3,12}, {6,16}, {7,16}, {3,21}, {7,9}, {4,32}, {6,42}, {7,22}, {4,18}, {2,26}, {7,37}, {3,20}, {1,33}, {5,12}, {2,25}, {3,17}, {6,24}, {6,35}, {4,34}, {4,41}, {3,33}, {7,34}, {7,36}, {7,17}, {1,8}, {5,16}, {4,13}, {2,30}, {1,18}, {5,40}, {1,24}, {6,28} }; // ETB42.81 (= ET42.101) // Bipartite(12,30) Valencies [20,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3963456300062343168000000 EdgesBipt[42][81]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,25}, {11,20}, {9,28}, {2,33}, {6,16}, {11,36}, {11,35}, {4,26}, {3,22}, {3,40}, {4,16}, {10,37}, {8,30}, {2,23}, {1,13}, {5,38}, {12,22}, {7,38}, {8,42}, {4,29}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {10,23}, {7,41}, {1,40}, {10,26}, {2,15}, {4,19}, {7,22}, {12,39}, {4,31}, {1,19}, {2,27}, {12,42}, {5,20}, {3,37}, {2,26}, {7,34}, {8,39}, {11,41}, {11,14}, {2,41}, {12,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {12,37}, {2,42}, {10,22}, {6,22}, {3,18}, {4,38}, {6,21}, {3,34}, {11,38}, {6,40}, {6,31}, {11,33}, {1,38}, {1,17}, {2,36}, {4,22}, {10,38}, {7,20}, {9,27}, {12,36}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {8,14}, {2,39}, {7,32}, {11,15}, {1,31}, {10,41}, {7,13}, {7,25}, {10,28}, {2,35}, {1,22}, {12,13}, {6,30}, {12,16}, {5,23}, {10,29}, {10,31}, {9,34}, {9,42}, {2,20}, {6,18}, {10,40}, {1,29}, {8,17}, {3,39}, {11,21}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {8,36}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {5,24}, {9,37}, {12,28}, {12,25}, {8,35}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {10,13}, {8,26}, {5,42}, {9,22}, {7,31}, {12,33}, {6,15}, {5,41}, {2,17}, {9,13}, {12,27}, {9,40}, {8,32}, {8,21}, {3,19}, {6,27}, {11,24}, {11,39}, {12,19}, {12,40}, {12,30}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {6,28}, {12,15}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {11,26}, {4,40}, {10,35}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {3,24}, {2,29}, {11,27}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {10,34}, {11,32}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {3,42}, {9,39}, {4,25}, {10,19}, {4,20}, {3,28}, {8,20}, {12,24}, {1,41}, {3,31}, {1,14}, {9,24}, {10,20}, {6,39}, {5,15}, {6,37}, {12,31}, {10,14}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {11,42}, {7,40}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {10,16} }; // ETB42.82 (= ET42.102) // Bipartite(12,30) Valencies [20,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1509949440 EdgesBipt[42][82]:={ {11,17}, {3,33}, {2,24}, {1,20}, {5,17}, {10,25}, {11,20}, {9,28}, {6,16}, {11,36}, {12,29}, {11,35}, {4,26}, {3,22}, {3,40}, {10,37}, {4,30}, {11,25}, {8,30}, {2,23}, {1,13}, {5,38}, {12,22}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {12,38}, {1,40}, {10,26}, {2,15}, {4,19}, {12,39}, {2,19}, {12,41}, {1,19}, {10,33}, {12,42}, {5,20}, {3,37}, {2,26}, {7,34}, {8,39}, {1,21}, {11,41}, {7,36}, {2,41}, {2,14}, {5,32}, {8,15}, {8,31}, {12,37}, {10,15}, {10,22}, {6,22}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {6,21}, {3,34}, {5,40}, {11,38}, {6,31}, {11,33}, {2,34}, {1,17}, {4,22}, {8,19}, {7,20}, {9,32}, {9,27}, {12,36}, {4,41}, {8,41}, {2,38}, {9,19}, {2,37}, {8,14}, {7,39}, {5,25}, {2,39}, {7,32}, {11,15}, {1,31}, {10,41}, {7,13}, {7,25}, {10,28}, {2,35}, {12,13}, {4,33}, {12,16}, {5,23}, {4,21}, {10,29}, {9,34}, {9,42}, {10,21}, {2,20}, {6,18}, {10,40}, {1,29}, {8,17}, {2,16}, {3,32}, {11,21}, {4,35}, {9,25}, {7,16}, {2,32}, {6,33}, {5,18}, {11,23}, {6,24}, {5,30}, {7,17}, {11,30}, {5,24}, {9,37}, {12,28}, {8,22}, {8,35}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {10,13}, {6,23}, {8,37}, {8,26}, {5,42}, {12,26}, {9,22}, {7,31}, {12,33}, {5,41}, {4,36}, {2,17}, {9,13}, {12,27}, {9,40}, {8,32}, {1,42}, {3,19}, {1,24}, {12,23}, {6,27}, {11,24}, {11,39}, {6,26}, {3,23}, {8,23}, {1,39}, {12,14}, {5,36}, {1,25}, {7,29}, {6,41}, {6,28}, {6,14}, {9,30}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {11,26}, {4,40}, {10,35}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {2,29}, {11,27}, {8,38}, {2,22}, {4,34}, {1,16}, {10,36}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {8,24}, {6,38}, {2,31}, {11,40}, {9,33}, {5,27}, {5,26}, {3,42}, {4,18}, {9,38}, {4,25}, {10,19}, {3,38}, {4,20}, {3,28}, {8,20}, {12,24}, {7,27}, {7,24}, {3,31}, {1,14}, {10,20}, {6,39}, {5,15}, {6,37}, {12,31}, {10,14}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {5,35}, {1,34}, {9,31}, {7,19}, {9,16}, {11,42}, {7,40}, {7,42}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {1,36}, {12,21} }; // ETB42.83 (= ET42.103) // Bipartite(18,24) Valencies [20,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6419592322744320 EdgesBipt[42][83]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {11,27}, {2,34}, {12,28}, {2,25}, {18,32}, {15,32}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {16,25}, {13,42}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {6,24}, {17,36}, {2,29}, {5,34}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {5,28}, {14,35}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {15,37}, {14,23}, {10,38}, {11,33}, {18,22}, {13,25}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {18,20}, {18,38}, {3,29}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {16,41}, {7,28}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,37}, {18,31}, {14,40}, {9,41}, {16,31}, {7,39}, {3,41}, {15,39}, {4,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {17,22}, {2,19}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {3,33}, {14,26}, {11,30}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {14,30}, {7,31}, {12,33}, {12,39}, {17,34}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {11,28}, {1,23}, {16,35}, {11,20}, {14,42}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {14,41}, {4,26}, {15,20}, {16,39}, {13,28}, {1,28}, {3,27}, {9,27}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {4,20}, {8,20}, {1,27}, {17,23}, {10,23}, {15,26}, {4,19}, {14,22}, {3,37}, {9,42}, {5,36}, {16,19}, {10,32}, {4,39}, {7,36}, {17,32}, {12,19}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.84 (= ET42.104) // Bipartite(21,21) Valencies [20,20] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 102181884343418880000 EdgesBipt[42][84]:={ {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {21,30}, {14,31}, {15,27}, {21,41}, {3,23}, {8,23}, {10,39}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {21,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {21,22}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {21,40}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {20,24}, {5,41}, {17,39}, {21,38}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {8,42}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {6,36}, {16,29}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {21,25}, {14,39}, {21,31}, {19,30}, {4,41}, {9,38}, {8,41}, {9,26}, {18,38}, {21,37}, {3,29}, {17,31}, {13,36}, {2,23}, {20,22}, {15,23}, {12,41}, {9,22}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {21,42}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {21,39}, {8,32}, {7,24}, {10,28}, {9,24}, {17,22}, {17,25}, {19,34}, {7,40}, {2,41}, {17,41}, {5,23}, {20,32}, {2,26}, {18,41}, {10,40}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {4,27}, {18,28}, {5,24}, {15,29}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {21,33}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {21,35}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {7,42}, {21,27}, {6,41}, {21,29}, {17,24}, {17,40}, {20,23}, {12,34}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,25}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {5,42}, {2,38}, {12,32}, {15,36}, {21,36}, {15,31}, {8,28}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {14,22}, {8,39}, {9,42}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {21,24}, {21,26}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40}, {21,23} }; // ETB42.85 (= ET42.107) // Bipartite(21,21) Valencies [21,21] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 5220568743985916218538183570227200000000 EdgesBipt[42][85]:={ {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {21,30}, {14,31}, {15,27}, {21,41}, {3,23}, {8,23}, {10,39}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {21,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {21,22}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {21,40}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {20,24}, {5,41}, {17,39}, {21,38}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {21,25}, {14,39}, {21,31}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {18,38}, {21,37}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {20,22}, {15,23}, {12,41}, {9,22}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {21,42}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {21,32}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {21,39}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {7,40}, {2,41}, {17,41}, {5,23}, {20,32}, {2,26}, {18,41}, {10,40}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {21,33}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {21,35}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {7,42}, {21,27}, {6,41}, {21,29}, {17,24}, {17,40}, {20,23}, {12,34}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,25}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {21,36}, {15,31}, {8,28}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {21,24}, {21,26}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40}, {21,23} }; // ETB42.86 (= ET42.108) // Bipartite(9,33) Valencies [22,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 82427505240359043072000000 EdgesBipt[42][86]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {8,30}, {2,23}, {1,13}, {5,38}, {7,38}, {8,42}, {4,29}, {1,32}, {3,13}, {8,33}, {3,25}, {3,15}, {7,41}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {3,37}, {2,26}, {7,34}, {8,39}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {2,42}, {6,22}, {3,18}, {4,38}, {6,21}, {3,34}, {6,40}, {6,31}, {1,38}, {4,10}, {1,17}, {2,36}, {4,22}, {7,11}, {7,20}, {9,27}, {5,11}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {8,14}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {5,23}, {9,34}, {9,42}, {2,20}, {6,18}, {1,29}, {8,17}, {3,39}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {9,37}, {8,35}, {9,10}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {3,10}, {8,26}, {5,42}, {9,22}, {7,31}, {6,15}, {5,41}, {2,17}, {9,13}, {5,12}, {9,40}, {8,32}, {8,21}, {3,19}, {6,27}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {6,28}, {2,11}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {2,29}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,26}, {8,18}, {3,42}, {9,39}, {4,25}, {4,11}, {4,20}, {3,28}, {8,20}, {7,10}, {1,41}, {3,31}, {2,12}, {1,14}, {9,24}, {6,39}, {5,15}, {6,37}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {7,40}, {8,29}, {4,32} }; // ETB42.87 (= ET42.109) // Bipartite(20,22) Valencies [22,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2734583627802146590662858060595200000000 EdgesBipt[42][87]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {20,24}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {20,22}, {15,23}, {12,41}, {9,22}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {7,40}, {2,41}, {17,41}, {5,23}, {20,32}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,25}, {15,21}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.88 (= ET42.110) // Bipartite(19,23) Valencies [23,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3144771171972468579262286769684480000000 EdgesBipt[42][88]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {19,20}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {19,40}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {15,23}, {12,41}, {9,22}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {3,37}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.89 (= ET42.111) // Bipartite(6,36) Valencies [24,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5275360335382978756608000000 EdgesBipt[42][89]:={ {4,35}, {5,32}, {6,39}, {6,12}, {5,14}, {3,15}, {2,38}, {6,10}, {6,18}, {4,14}, {1,11}, {5,30}, {5,42}, {6,36}, {4,8}, {3,7}, {1,31}, {2,11}, {5,35}, {1,40}, {2,20}, {4,40}, {1,25}, {4,16}, {6,13}, {5,24}, {1,38}, {5,41}, {2,33}, {6,25}, {6,7}, {3,30}, {1,32}, {6,40}, {3,10}, {3,34}, {3,31}, {6,34}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {1,29}, {3,18}, {1,34}, {2,14}, {5,23}, {5,33}, {4,37}, {4,20}, {2,41}, {2,23}, {1,10}, {4,7}, {1,17}, {3,13}, {1,22}, {2,32}, {6,33}, {3,40}, {1,16}, {6,21}, {2,36}, {2,17}, {4,28}, {3,9}, {4,29}, {3,22}, {5,15}, {6,37}, {5,29}, {4,31}, {2,42}, {3,27}, {6,15}, {1,19}, {4,17}, {2,35}, {4,25}, {2,9}, {1,35}, {1,26}, {4,38}, {2,24}, {6,31}, {4,11}, {3,42}, {2,27}, {6,19}, {5,38}, {1,23}, {2,21}, {5,27}, {1,7}, {6,30}, {5,8}, {2,39}, {2,12}, {4,22}, {5,20}, {3,28}, {5,36}, {3,24}, {5,17}, {3,12}, {6,16}, {3,21}, {1,14}, {1,41}, {4,32}, {6,42}, {3,39}, {2,8}, {1,37}, {1,20}, {5,11}, {3,16}, {1,13}, {3,25}, {2,26}, {5,12}, {1,28}, {3,36}, {3,37}, {6,24}, {5,18}, {4,34}, {6,27}, {4,41}, {3,33}, {4,23}, {1,8}, {5,39}, {4,13}, {2,30}, {4,19}, {4,10}, {6,28} }; // ETB42.90 (= ET42.112) // Bipartite(6,36) Valencies [24,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 190210142896128 EdgesBipt[42][90]:={ {4,35}, {6,39}, {6,12}, {3,15}, {2,38}, {6,18}, {3,29}, {6,14}, {3,38}, {5,42}, {6,36}, {4,8}, {6,17}, {2,11}, {5,35}, {6,41}, {6,23}, {2,20}, {4,40}, {5,34}, {1,25}, {4,16}, {6,13}, {2,37}, {5,24}, {3,32}, {1,9}, {2,33}, {6,32}, {3,30}, {1,32}, {6,40}, {5,7}, {5,13}, {3,10}, {2,28}, {3,31}, {2,19}, {2,18}, {2,15}, {6,9}, {4,26}, {5,26}, {5,9}, {6,22}, {2,29}, {3,19}, {4,12}, {3,41}, {1,34}, {2,14}, {3,11}, {5,33}, {4,37}, {2,10}, {4,20}, {2,41}, {2,23}, {1,10}, {4,7}, {4,39}, {1,36}, {1,17}, {3,13}, {2,16}, {2,32}, {6,33}, {3,40}, {1,16}, {6,21}, {2,36}, {4,28}, {3,14}, {1,12}, {4,29}, {3,22}, {5,15}, {6,8}, {3,23}, {5,29}, {4,31}, {2,42}, {4,30}, {2,34}, {6,15}, {6,26}, {1,19}, {4,21}, {4,17}, {4,25}, {2,9}, {1,35}, {1,26}, {4,38}, {2,24}, {6,31}, {4,11}, {3,42}, {5,22}, {2,27}, {5,38}, {1,23}, {5,27}, {1,7}, {6,30}, {5,8}, {1,39}, {4,22}, {5,20}, {3,28}, {5,36}, {3,24}, {5,17}, {5,31}, {3,12}, {3,21}, {1,14}, {1,41}, {6,42}, {3,39}, {1,37}, {1,27}, {5,11}, {3,20}, {2,25}, {1,28}, {3,37}, {6,24}, {6,35}, {2,7}, {5,18}, {4,34}, {6,27}, {3,33}, {1,8}, {1,30}, {5,16}, {4,13}, {1,21}, {1,18}, {4,19}, {5,25}, {4,10}, {5,40} }; // ETB42.91 (= ET42.113) // Bipartite(14,28) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2958824445050880 EdgesBipt[42][91]:={ {13,21}, {6,38}, {11,40}, {14,36}, {9,32}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {2,35}, {6,15}, {8,40}, {3,35}, {11,15}, {10,33}, {3,19}, {14,31}, {5,15}, {1,19}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {3,21}, {3,39}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {2,33}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {13,41}, {7,15}, {8,22}, {6,34}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {4,32}, {1,30}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,15}, {10,38}, {14,23}, {6,16}, {11,33}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {14,37}, {13,38}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {2,41}, {5,23}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,31}, {1,33}, {12,36}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {14,24}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {13,23}, {2,40}, {6,21}, {14,41}, {4,26}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB42.92 (= ET42.114) // Bipartite(18,24) Valencies [24,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3972342533017855047489204340654080000000 EdgesBipt[42][92]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {15,28}, {5,28}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {16,41}, {7,28}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {12,21}, {6,33}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.93 (= ET42.117) // Bipartite(12,30) Valencies [25,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 137594142720000000 EdgesBipt[42][93]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {4,28}, {3,26}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {11,14}, {1,35}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {11,27}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {8,30}, {8,13}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {5,28}, {8,18}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {2,24}, {11,23}, {11,16}, {3,24}, {10,38}, {6,16}, {11,33}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,19}, {3,25}, {11,34}, {7,35}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {5,40}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {4,14}, {4,15}, {9,41}, {7,39}, {3,41}, {4,29}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {3,33}, {10,15}, {11,30}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {7,31}, {12,33}, {12,39}, {8,14}, {3,15}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {5,21}, {7,42}, {9,15}, {12,34}, {6,28}, {6,42}, {4,35}, {1,15}, {7,18}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {9,27}, {5,42}, {2,38}, {12,32}, {8,28}, {4,20}, {8,20}, {1,27}, {10,23}, {4,19}, {3,37}, {7,13}, {9,42}, {9,14}, {5,36}, {10,14}, {10,32}, {4,39}, {7,36}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.94 (= ET42.118) // Bipartite(17,25) Valencies [25,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5517142406969243121512783806464000000000 EdgesBipt[42][94]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {11,25}, {4,28}, {17,18}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {16,42}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {2,42}, {16,32}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.95 (= ET42.119) // Bipartite(3,39) Valencies [26,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1448745832104550541033472000000 EdgesBipt[42][95]:={ {2,11}, {3,22}, {1,26}, {2,14}, {3,40}, {1,14}, {2,26}, {3,12}, {2,32}, {2,30}, {1,29}, {2,29}, {1,32}, {2,24}, {1,37}, {1,40}, {1,10}, {2,39}, {3,21}, {3,42}, {3,27}, {3,33}, {2,6}, {1,4}, {1,20}, {2,36}, {3,37}, {1,31}, {3,9}, {3,24}, {2,12}, {2,33}, {2,21}, {1,38}, {1,7}, {3,4}, {1,16}, {2,20}, {3,7}, {3,16}, {3,28}, {3,15}, {2,38}, {2,18}, {3,25}, {3,19}, {3,30}, {2,15}, {2,5}, {3,18}, {3,31}, {1,5}, {2,27}, {1,17}, {3,6}, {3,39}, {2,42}, {3,34}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,41}, {1,41}, {1,22}, {2,8}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {3,10}, {3,36} }; // ETB42.96 (= ET42.120) // Bipartite(14,28) Valencies [26,13] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1428329123020800 EdgesBipt[42][96]:={ {13,21}, {6,38}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {8,22}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {6,17}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {13,17}, {7,19}, {4,32}, {1,30}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {13,29}, {9,25}, {10,22}, {5,40}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {14,37}, {13,38}, {4,15}, {14,40}, {9,41}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {10,40}, {10,21}, {9,21}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {3,15}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {6,28}, {6,42}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {6,21}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.97 (= ET42.121) // Bipartite(16,26) Valencies [26,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8437982504776489479960728174592000000000 EdgesBipt[42][97]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {16,42}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {16,31}, {15,17}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {16,32}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.98 (= ET42.123) // Bipartite(15,27) Valencies [27,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14239095476810325997433728794624000000000 EdgesBipt[42][98]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {15,17}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {6,28}, {6,42}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.99 (= ET42.124) // Bipartite(14,28) Valencies [28,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26579644890045941861876293749964800000000 EdgesBipt[42][99]:={ {13,21}, {6,38}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {14,37}, {13,38}, {4,15}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.100 (= ET42.126) // Bipartite(13,29) Valencies [29,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 55057835843666593856743751339212800000000 EdgesBipt[42][100]:={ {13,21}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {13,39}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {13,27}, {6,14}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {13,25}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {4,14}, {13,38}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {13,14}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.101 (= ET42.127) // Bipartite(6,36) Valencies [30,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 100306130042880000000 EdgesBipt[42][101]:={ {1,11}, {3,33}, {2,24}, {5,17}, {6,16}, {6,32}, {4,27}, {5,34}, {4,26}, {3,8}, {4,16}, {1,10}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {3,13}, {1,27}, {3,25}, {3,15}, {1,40}, {4,19}, {4,31}, {2,19}, {1,19}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {6,7}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {3,7}, {4,38}, {6,21}, {2,25}, {5,40}, {6,31}, {6,40}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {6,8}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,26}, {5,28}, {5,42}, {6,15}, {5,41}, {2,17}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {6,27}, {6,26}, {3,23}, {1,39}, {5,36}, {3,21}, {2,7}, {1,25}, {6,19}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {4,37}, {6,42}, {4,40}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {3,42}, {5,9}, {4,25}, {3,38}, {4,11}, {4,20}, {1,41}, {3,41}, {3,31}, {2,12}, {2,8}, {5,15}, {6,39}, {6,37}, {6,20}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB42.102 (= ET42.128) // Bipartite(7,35) Valencies [30,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1805923123200000000 EdgesBipt[42][102]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,27}, {7,15}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {7,38}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {7,41}, {1,40}, {4,19}, {7,22}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {2,26}, {7,34}, {2,9}, {7,36}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {6,21}, {3,34}, {5,40}, {2,25}, {6,31}, {6,40}, {1,38}, {2,34}, {1,17}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {4,42}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {5,42}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,37}, {5,39}, {7,28}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {6,36}, {5,33}, {3,24}, {1,26}, {4,34}, {1,16}, {4,14}, {5,8}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {7,10}, {7,27}, {1,41}, {3,41}, {3,31}, {7,24}, {2,12}, {5,15}, {6,37}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {6,35}, {3,36}, {4,39}, {7,42}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB42.103 (= ET42.129) // Bipartite(12,30) Valencies [30,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 127056544254615216592485580013568000000000 EdgesBipt[42][103]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {3,26}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.104 (= ET42.132) // Bipartite(11,31) Valencies [31,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 328229405991089309530587748368384000000000 EdgesBipt[42][104]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {3,26}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {2,31}, {1,33}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {6,28}, {6,42}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB42.105 (= ET42.133) // Bipartite(10,32) Valencies [32,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 954849181064987082270800722526208000000000 EdgesBipt[42][105]:={ {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {10,42}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB42.106 (= ET42.134) // Bipartite(9,33) Valencies [33,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3151002297514457371493642384336486400000000 EdgesBipt[42][106]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {9,10}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {8,37}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {4,19}, {8,39}, {3,37}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB42.107 (= ET42.135) // Bipartite(8,34) Valencies [34,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11903786457276838958975982340826726400000000 EdgesBipt[42][107]:={ {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {8,16}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {8,42}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,11}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {7,9}, {5,10}, {8,28}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,9}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {6,40} }; // ETB42.108 (= ET42.136) // Bipartite(7,35) Valencies [35,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 52079065750586170445519922741116928000000000 EdgesBipt[42][108]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {7,41}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {4,42}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {5,42}, {7,31}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {1,25}, {6,19}, {6,9}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {1,41}, {3,41}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {2,18}, {5,35}, {1,34}, {5,37}, {7,19}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {7,42}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB42.109 (= ET42.138) // Bipartite(6,36) Valencies [36,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 267835195288728876576959602668601344000000000 EdgesBipt[42][109]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {4,42}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {3,26}, {5,28}, {5,42}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,19}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {6,35}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB42.110 (= ET42.140) // Bipartite(5,37) Valencies [37,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1651650370947161405557917549789708288000000000 EdgesBipt[42][110]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {4,38}, {3,34}, {2,25}, {5,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {3,29}, {3,10}, {3,26}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {5,6}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {4,17}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB42.111 (= ET42.141) // Bipartite(4,38) Valencies [38,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12552542819198426682240173378401782988800000000 EdgesBipt[42][111]:={ {1,15}, {4,35}, {3,15}, {2,38}, {4,42}, {1,11}, {4,14}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {1,40}, {2,20}, {4,40}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {3,23}, {4,31}, {2,42}, {2,34}, {3,27}, {4,30}, {1,19}, {2,40}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {4,38}, {2,24}, {4,11}, {3,42}, {2,27}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {4,32}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {4,9}, {2,7}, {4,34}, {4,41}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB42.112 (= ET42.142) // Bipartite(3,39) Valencies [39,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122387292487184660151841690439417384140800000000 EdgesBipt[42][112]:={ {1,15}, {3,15}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {2,11}, {1,40}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB42.113 (= ET42.144) // Bipartite(2,40) Valencies [40,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1631830566495795468691222539192231788544000000000 EdgesBipt[42][113]:={ {2,11}, {1,26}, {2,14}, {1,14}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,40}, {1,10}, {2,39}, {1,39}, {1,36}, {1,6}, {2,40}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {1,38}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,38}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {2,42}, {1,28}, {2,19}, {1,42}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {2,41}, {1,41}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB42.114 (= ET42.146) // Bipartite(1,41) Valencies [41,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 33452526613163807108170062053440751665152000000000 EdgesBipt[42][114]:={ {1,26}, {1,14}, {1,24}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,39}, {1,36}, {1,6}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 42 is 114 // ******************************************************************************************** // Order 43 // ETB43.1 (= ET43.4) // Bipartite(21,22) Valencies [22,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 57426256183845078403920019272499200000000 EdgesBipt[43][1]:={ {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {5,43}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {21,30}, {14,31}, {15,27}, {21,41}, {3,23}, {8,23}, {10,39}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {21,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {21,22}, {13,43}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {4,43}, {21,40}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {20,43}, {8,37}, {20,24}, {5,41}, {17,39}, {21,38}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {21,25}, {14,39}, {21,31}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {18,38}, {21,37}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {20,22}, {15,23}, {12,41}, {9,22}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {21,42}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {21,32}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {21,39}, {19,29}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {4,27}, {19,43}, {18,28}, {5,24}, {2,22}, {15,29}, {18,24}, {8,43}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {21,33}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {21,35}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {21,43}, {7,42}, {21,27}, {6,41}, {21,29}, {17,24}, {17,40}, {20,23}, {12,34}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {14,25}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {21,36}, {15,31}, {8,28}, {7,43}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {3,37}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {21,24}, {17,43}, {21,26}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40}, {21,23} }; // ETB43.2 (= ET43.5) // Bipartite(20,23) Valencies [23,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 62895423439449371585245735393689600000000 EdgesBipt[43][2]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {5,43}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {16,21}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {4,43}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {20,43}, {8,37}, {20,24}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {20,22}, {15,23}, {9,22}, {12,41}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {19,43}, {18,28}, {5,24}, {2,22}, {15,29}, {18,24}, {8,43}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {14,25}, {15,21}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {8,28}, {7,43}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {3,37}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {17,32}, {17,43}, {20,21}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.3 (= ET43.6) // Bipartite(19,24) Valencies [24,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75474508127339245902294882472427520000000 EdgesBipt[43][3]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {19,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {16,21}, {19,20}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {19,40}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {4,43}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {4,32}, {1,30}, {19,27}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {15,23}, {9,22}, {12,41}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {19,41}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {19,43}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {8,43}, {2,31}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {8,28}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {3,37}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {17,32}, {17,43}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {12,21}, {6,33}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.4 (= ET43.7) // Bipartite(18,25) Valencies [25,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 99308563325446376187230108516352000000000 EdgesBipt[43][4]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,29}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,20}, {18,38}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {16,41}, {7,28}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {8,43}, {2,31}, {14,19}, {16,38}, {1,33}, {18,27}, {12,36}, {16,27}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {13,33}, {18,43}, {14,20}, {14,25}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {8,28}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {17,32}, {12,19}, {17,43}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {6,33}, {12,21}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.5 (= ET43.8) // Bipartite(17,26) Valencies [26,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 143445702581200321159332378968064000000000 EdgesBipt[43][5]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {11,25}, {4,28}, {5,43}, {17,18}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,29}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {12,28}, {2,25}, {4,24}, {4,43}, {16,42}, {15,32}, {4,30}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {16,43}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {15,28}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {17,28}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {8,43}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {17,32}, {12,19}, {17,43}, {1,37}, {8,25}, {2,42}, {16,32}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.6 (= ET43.9) // Bipartite(16,27) Valencies [27,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 227825527628965215958939660713984000000000 EdgesBipt[43][6]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {4,43}, {16,42}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {16,43}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {16,31}, {15,17}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {16,20}, {8,43}, {2,31}, {14,19}, {16,38}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {16,32}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.7 (= ET43.10) // Bipartite(15,28) Valencies [28,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 398694673350689127928144406249472000000000 EdgesBipt[43][7]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {15,17}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {8,43}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {6,28}, {6,42}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.8 (= ET43.11) // Bipartite(14,29) Valencies [29,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 770809701811332313994412518748979200000000 EdgesBipt[43][8]:={ {13,21}, {6,38}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {14,43}, {3,22}, {14,37}, {13,38}, {4,15}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.9 (= ET43.12) // Bipartite(13,30) Valencies [30,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1651735075309997815702312540176384000000000 EdgesBipt[43][9]:={ {13,21}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {6,14}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {13,25}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {4,14}, {13,38}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {13,14}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.10 (= ET43.13) // Bipartite(12,31) Valencies [31,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3938752871893071714367052980420608000000000 EdgesBipt[43][10]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.11 (= ET43.14) // Bipartite(11,32) Valencies [32,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10503340991714857904978807947788288000000000 EdgesBipt[43][11]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {3,26}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {3,25}, {11,34}, {7,35}, {11,13}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {1,33}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {6,28}, {6,42}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB43.12 (= ET43.15) // Bipartite(10,33) Valencies [33,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31510022975144573714936423843364864000000000 EdgesBipt[43][12]:={ {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {10,42}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB43.13 (= ET43.16) // Bipartite(9,34) Valencies [34,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 107134078115491550630783841067440537600000000 EdgesBipt[43][13]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {9,22}, {4,11}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {9,43}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB43.14 (= ET43.17) // Bipartite(8,35) Valencies [35,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 416632526004689363564159381928935424000000000 EdgesBipt[43][14]:={ {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {8,16}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,11}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {4,14}, {4,15}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {7,9}, {5,10}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,9}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {6,40} }; // ETB43.15 (= ET43.18) // Bipartite(7,36) Valencies [36,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1874846367021102136038717218680209408000000000 EdgesBipt[43][15]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {7,41}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {7,43}, {2,35}, {1,22}, {6,12}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {5,28}, {5,42}, {7,31}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {1,25}, {6,19}, {6,9}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {1,41}, {3,41}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {2,18}, {5,35}, {1,34}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {7,42}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB43.16 (= ET43.19) // Bipartite(6,37) Valencies [37,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9909902225682968433347505298738249728000000000 EdgesBipt[43][16]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {5,28}, {5,42}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,19}, {6,20}, {2,30}, {5,21}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB43.17 (= ET43.20) // Bipartite(5,38) Valencies [38,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 62762714095992133411200866892008914944000000000 EdgesBipt[43][17]:={ {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {4,38}, {3,34}, {2,25}, {5,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,6}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB43.18 (= ET43.21) // Bipartite(4,39) Valencies [39,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 489549169948738640607366761757669536563200000000 EdgesBipt[43][18]:={ {1,15}, {4,35}, {3,15}, {1,43}, {2,38}, {4,42}, {1,11}, {4,14}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {1,40}, {2,20}, {4,40}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {3,30}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {4,43}, {3,23}, {4,31}, {2,42}, {2,34}, {3,27}, {4,30}, {1,19}, {2,40}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {4,38}, {2,24}, {4,11}, {3,42}, {2,27}, {2,43}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {4,32}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {3,16}, {1,13}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {4,9}, {2,7}, {3,43}, {4,34}, {4,41}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB43.19 (= ET43.22) // Bipartite(3,40) Valencies [40,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4895491699487386406073667617576695365632000000000 EdgesBipt[43][19]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {2,11}, {1,40}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {3,14}, {2,13}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB43.20 (= ET43.23) // Bipartite(2,41) Valencies [41,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 66905053226327614216340124106881503330304000000000 EdgesBipt[43][20]:={ {2,11}, {1,26}, {2,14}, {1,14}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,40}, {1,10}, {1,43}, {2,39}, {1,39}, {2,43}, {1,36}, {1,6}, {2,40}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {1,38}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,38}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {2,42}, {1,28}, {2,19}, {1,42}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {2,41}, {1,41}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB43.21 (= ET43.24) // Bipartite(1,42) Valencies [42,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 1405006117752879898543142606244511569936384000000000 EdgesBipt[43][21]:={ {1,26}, {1,14}, {1,24}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 43 is 21 // ******************************************************************************************** // Order 44 // ETB44.1 (= ET44.1) // Bipartite(22,22) Valencies [2,2] // Diameter 22 Girth 44 // Twin-free VT AT // Automorphism group of order 88 EdgesBipt[44][1]:={ {12,32}, {14,37}, {1,23}, {18,41}, {6,29}, {20,41}, {22,44}, {8,29}, {10,31}, {13,32}, {14,35}, {4,40}, {5,40}, {6,27}, {12,34}, {19,26}, {7,36}, {21,24}, {15,39}, {3,27}, {17,26}, {10,33}, {16,30}, {17,28}, {11,33}, {2,42}, {20,43}, {16,28}, {9,34}, {18,39}, {2,44}, {1,25}, {15,37}, {22,43}, {11,35}, {7,38}, {13,30}, {19,24}, {8,31}, {3,25}, {5,38}, {21,23}, {9,36}, {4,42} }; // ETB44.2 (= ET44.2) // Bipartite(22,22) Valencies [4,4] // Diameter 11 Girth 4 // Has twins VT AT // Automorphism group of order 184549376 EdgesBipt[44][2]:={ {5,33}, {8,28}, {3,40}, {5,29}, {21,23}, {2,24}, {7,41}, {11,24}, {1,36}, {6,31}, {5,40}, {22,35}, {18,33}, {15,38}, {15,27}, {11,37}, {4,31}, {6,43}, {7,33}, {5,44}, {9,37}, {3,29}, {6,32}, {16,33}, {18,41}, {7,30}, {17,42}, {8,32}, {20,30}, {22,24}, {8,43}, {16,40}, {15,31}, {20,37}, {19,28}, {10,23}, {22,26}, {4,38}, {12,36}, {10,34}, {14,36}, {11,35}, {2,38}, {3,25}, {4,27}, {21,28}, {12,34}, {22,37}, {12,23}, {18,30}, {6,42}, {14,40}, {9,41}, {20,41}, {13,35}, {13,38}, {21,34}, {10,39}, {2,27}, {12,25}, {17,31}, {19,43}, {19,32}, {20,26}, {13,24}, {17,32}, {17,43}, {2,35}, {10,28}, {9,30}, {18,44}, {11,26}, {13,27}, {9,26}, {14,29}, {15,42}, {21,39}, {1,34}, {1,23}, {4,42}, {14,25}, {1,25}, {16,29}, {7,44}, {19,39}, {8,39}, {3,36}, {16,44} }; // ETB44.3 (= ET44.4) // Bipartite(11,33) Valencies [6,2] // Diameter 11 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7981535232 EdgesBipt[44][3]:={ {6,41}, {11,16}, {2,44}, {8,20}, {7,16}, {5,37}, {3,12}, {5,24}, {8,31}, {4,44}, {1,32}, {2,24}, {1,43}, {11,29}, {11,27}, {10,30}, {9,15}, {6,30}, {5,15}, {1,12}, {4,31}, {3,23}, {11,38}, {6,43}, {8,29}, {9,37}, {2,33}, {6,32}, {7,36}, {7,27}, {4,33}, {8,40}, {8,42}, {1,21}, {3,25}, {4,20}, {10,41}, {11,40}, {3,14}, {6,21}, {7,25}, {7,38}, {10,39}, {4,22}, {6,19}, {3,34}, {10,19}, {10,17}, {5,26}, {5,35}, {8,18}, {2,35}, {5,13}, {10,28}, {9,26}, {2,13}, {1,34}, {9,28}, {1,23}, {4,42}, {9,39}, {7,14}, {11,18}, {2,22}, {9,17}, {3,36} }; // ETB44.4 (= ET44.5) // Bipartite(20,24) Valencies [6,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[44][4]:={ {16,34}, {20,27}, {14,25}, {16,36}, {8,31}, {8,24}, {4,42}, {18,44}, {3,38}, {7,40}, {8,36}, {19,39}, {10,38}, {6,23}, {4,40}, {11,42}, {7,33}, {18,42}, {20,23}, {3,32}, {19,40}, {5,41}, {16,40}, {19,24}, {11,38}, {13,43}, {12,27}, {13,42}, {18,21}, {15,29}, {13,38}, {9,31}, {16,41}, {12,25}, {6,34}, {5,26}, {5,21}, {15,28}, {10,30}, {8,22}, {19,37}, {3,41}, {6,43}, {17,30}, {20,33}, {20,38}, {2,41}, {20,35}, {2,23}, {17,24}, {9,43}, {2,32}, {6,33}, {8,21}, {4,28}, {7,29}, {10,39}, {4,29}, {3,22}, {10,37}, {4,43}, {9,23}, {11,39}, {3,27}, {2,34}, {14,26}, {10,33}, {12,28}, {2,35}, {15,33}, {14,44}, {13,30}, {9,25}, {4,25}, {2,44}, {13,22}, {7,35}, {12,24}, {15,26}, {18,35}, {12,23}, {14,32}, {11,41}, {9,44}, {17,22}, {15,21}, {6,30}, {8,27}, {1,39}, {14,37}, {11,40}, {5,36}, {3,26}, {17,37}, {19,36}, {1,42}, {16,22}, {18,29}, {17,34}, {15,27}, {7,37}, {16,43}, {14,29}, {12,32}, {1,28}, {18,31}, {20,31}, {17,32}, {13,31}, {9,36}, {10,26}, {19,25}, {5,44}, {7,34}, {1,30}, {5,39}, {11,35}, {1,21}, {1,24}, {6,28} }; // ETB44.5 (= ET44.6) // Bipartite(20,24) Valencies [6,5] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 491520 EdgesBipt[44][5]:={ {13,25}, {7,42}, {14,21}, {20,27}, {5,32}, {6,39}, {10,21}, {8,31}, {18,40}, {11,23}, {9,30}, {15,43}, {18,44}, {3,38}, {9,42}, {11,33}, {16,30}, {4,27}, {6,41}, {11,42}, {7,33}, {12,31}, {2,37}, {12,22}, {18,37}, {1,38}, {17,35}, {13,27}, {19,24}, {4,44}, {9,37}, {13,42}, {8,34}, {2,28}, {16,41}, {3,31}, {6,34}, {6,22}, {8,44}, {8,22}, {14,33}, {17,23}, {4,37}, {10,36}, {2,23}, {7,41}, {4,39}, {3,40}, {12,34}, {10,41}, {15,36}, {7,29}, {5,43}, {9,23}, {10,24}, {18,25}, {14,38}, {16,29}, {19,29}, {14,26}, {10,33}, {2,40}, {7,30}, {2,35}, {5,28}, {13,30}, {9,25}, {4,25}, {10,29}, {1,35}, {1,26}, {6,29}, {12,24}, {15,26}, {18,32}, {14,36}, {15,31}, {1,23}, {12,43}, {16,27}, {9,35}, {18,28}, {8,43}, {8,32}, {3,28}, {20,44}, {20,32}, {3,26}, {5,31}, {19,36}, {12,36}, {11,21}, {11,30}, {19,22}, {19,34}, {4,32}, {20,34}, {15,38}, {17,38}, {7,21}, {19,41}, {16,42}, {1,33}, {2,25}, {17,26}, {20,39}, {17,28}, {3,43}, {6,27}, {20,22}, {5,44}, {13,37}, {17,40}, {11,35}, {16,39}, {1,21}, {15,24}, {14,24}, {5,40}, {13,39} }; // ETB44.6 (= ET44.8) // Bipartite(16,28) Valencies [7,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 112 EdgesBipt[44][6]:={ {7,43}, {4,35}, {10,19}, {13,25}, {5,32}, {7,39}, {10,21}, {11,17}, {2,38}, {15,43}, {3,29}, {9,42}, {6,17}, {10,27}, {5,35}, {1,40}, {14,18}, {12,40}, {13,34}, {5,41}, {2,33}, {7,31}, {6,25}, {15,40}, {11,38}, {9,37}, {12,27}, {13,42}, {8,34}, {2,28}, {8,41}, {10,18}, {13,20}, {10,30}, {11,34}, {4,37}, {10,34}, {4,20}, {2,41}, {7,26}, {9,43}, {8,28}, {13,26}, {1,17}, {15,25}, {14,30}, {2,32}, {6,33}, {4,28}, {10,39}, {16,35}, {16,19}, {14,28}, {9,23}, {14,38}, {6,37}, {16,29}, {4,31}, {1,19}, {15,33}, {14,44}, {12,29}, {1,35}, {1,26}, {8,19}, {13,40}, {12,23}, {3,42}, {5,22}, {14,36}, {2,43}, {12,44}, {15,31}, {1,23}, {2,21}, {14,22}, {5,27}, {6,30}, {15,18}, {13,32}, {5,20}, {11,31}, {3,26}, {9,24}, {12,36}, {16,22}, {11,21}, {3,21}, {3,44}, {3,39}, {7,22}, {15,27}, {4,18}, {8,25}, {11,20}, {12,41}, {16,42}, {8,37}, {9,32}, {6,24}, {16,38}, {9,36}, {6,44}, {3,33}, {7,36}, {7,17}, {4,23}, {11,24}, {1,30}, {5,39}, {8,29}, {16,24} }; // ETB44.7 (= ET44.9) // Bipartite(16,28) Valencies [7,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10321920 EdgesBipt[44][7]:={ {13,25}, {16,34}, {11,44}, {15,23}, {2,38}, {11,23}, {3,29}, {4,27}, {16,30}, {10,43}, {10,38}, {11,29}, {2,20}, {4,40}, {14,19}, {1,25}, {12,40}, {12,22}, {16,18}, {6,32}, {12,33}, {9,39}, {14,42}, {1,32}, {6,40}, {8,42}, {12,27}, {14,35}, {7,23}, {8,34}, {2,28}, {14,20}, {5,26}, {9,17}, {15,28}, {5,37}, {3,18}, {8,22}, {7,28}, {12,21}, {1,34}, {5,33}, {13,44}, {9,27}, {10,36}, {13,33}, {2,31}, {7,41}, {13,26}, {1,17}, {2,36}, {4,33}, {8,18}, {2,17}, {9,34}, {10,31}, {4,29}, {16,26}, {4,43}, {5,19}, {8,26}, {15,35}, {3,23}, {11,39}, {11,18}, {7,30}, {4,21}, {12,29}, {9,25}, {7,35}, {14,32}, {11,36}, {6,19}, {15,21}, {2,43}, {12,43}, {10,28}, {1,39}, {8,38}, {4,22}, {3,24}, {5,31}, {15,37}, {16,22}, {6,20}, {10,17}, {1,41}, {3,44}, {6,42}, {3,39}, {1,27}, {15,41}, {7,37}, {7,21}, {16,42}, {14,40}, {3,36}, {9,41}, {10,20}, {9,32}, {6,24}, {6,35}, {16,38}, {8,30}, {13,31}, {5,44}, {13,19}, {13,37}, {15,30}, {11,24}, {5,25}, {14,24} }; // ETB44.8 (= ET44.10) // Bipartite(12,32) Valencies [8,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[44][8]:={ {3,32}, {1,26}, {12,38}, {10,15}, {6,37}, {4,23}, {9,19}, {1,14}, {2,26}, {4,41}, {10,43}, {6,39}, {4,36}, {8,31}, {2,30}, {1,30}, {2,29}, {9,20}, {1,32}, {9,31}, {8,38}, {12,33}, {11,24}, {2,39}, {4,40}, {6,30}, {5,15}, {4,31}, {6,40}, {10,33}, {12,44}, {11,33}, {11,42}, {5,16}, {8,27}, {5,23}, {6,16}, {5,21}, {8,44}, {1,38}, {8,43}, {8,37}, {10,16}, {9,24}, {2,20}, {3,28}, {7,18}, {10,34}, {12,36}, {11,35}, {3,25}, {11,32}, {4,21}, {11,22}, {5,17}, {11,40}, {6,27}, {3,14}, {3,18}, {6,42}, {12,29}, {9,34}, {7,35}, {8,34}, {11,36}, {12,26}, {8,41}, {1,27}, {9,13}, {4,25}, {9,22}, {2,28}, {10,42}, {2,19}, {5,14}, {5,18}, {3,41}, {7,39}, {1,13}, {5,13}, {7,17}, {10,28}, {1,22}, {2,25}, {12,15}, {4,19}, {7,37}, {10,20}, {6,23}, {7,44}, {7,24}, {9,17}, {3,43}, {12,21}, {3,35}, {7,29} }; // ETB44.9 (= ET44.11) // Bipartite(12,32) Valencies [8,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[44][9]:={ {3,32}, {3,22}, {1,26}, {6,41}, {4,24}, {5,36}, {11,16}, {8,28}, {4,23}, {6,34}, {9,23}, {11,15}, {10,40}, {10,43}, {6,39}, {12,18}, {2,29}, {11,25}, {4,34}, {2,24}, {12,33}, {1,37}, {5,27}, {8,16}, {3,21}, {1,36}, {9,38}, {12,30}, {11,44}, {2,36}, {4,31}, {6,43}, {1,31}, {10,33}, {9,37}, {3,20}, {4,32}, {8,44}, {5,20}, {8,43}, {7,27}, {7,32}, {1,16}, {7,40}, {3,15}, {9,40}, {8,33}, {4,38}, {6,20}, {11,35}, {5,28}, {1,21}, {3,30}, {7,15}, {12,23}, {12,14}, {3,31}, {5,30}, {9,41}, {10,29}, {12,29}, {7,38}, {8,34}, {5,39}, {9,13}, {2,27}, {10,37}, {6,19}, {2,42}, {6,22}, {2,19}, {8,26}, {9,18}, {10,17}, {5,14}, {2,17}, {7,28}, {12,42}, {12,35}, {11,41}, {1,13}, {8,14}, {5,13}, {7,17}, {10,22}, {10,21}, {4,26}, {2,25}, {4,42}, {9,39}, {11,19}, {11,18}, {1,25}, {7,44}, {6,24}, {3,35} }; // ETB44.10 (= ET44.12) // Bipartite(12,32) Valencies [8,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5283615080448 EdgesBipt[44][10]:={ {11,30}, {4,24}, {5,42}, {2,44}, {6,34}, {9,23}, {8,31}, {2,32}, {1,29}, {2,24}, {9,31}, {1,37}, {1,33}, {8,23}, {6,26}, {12,16}, {2,40}, {8,15}, {4,40}, {3,27}, {7,13}, {8,25}, {11,27}, {12,32}, {9,15}, {10,36}, {2,36}, {3,23}, {11,38}, {12,40}, {4,16}, {6,36}, {10,33}, {4,30}, {4,32}, {7,27}, {2,16}, {7,43}, {2,20}, {3,15}, {8,33}, {4,38}, {5,38}, {6,20}, {11,35}, {1,21}, {11,43}, {10,41}, {11,22}, {3,19}, {12,37}, {10,44}, {9,42}, {6,42}, {3,31}, {12,13}, {12,24}, {5,30}, {12,29}, {9,34}, {7,21}, {7,35}, {8,41}, {1,17}, {7,19}, {6,18}, {4,22}, {3,39}, {2,28}, {9,18}, {10,17}, {5,14}, {5,18}, {5,26}, {5,34}, {1,13}, {10,28}, {9,26}, {1,41}, {6,28}, {4,14}, {10,25}, {9,39}, {11,19}, {7,37}, {10,20}, {11,14}, {5,22}, {1,25}, {6,44}, {8,17}, {3,43}, {8,39}, {12,21}, {3,35}, {7,29} }; // ETB44.11 (= ET44.13) // Bipartite(12,32) Valencies [8,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[44][11]:={ {9,13}, {10,19}, {7,39}, {8,31}, {1,43}, {12,39}, {6,17}, {4,40}, {11,42}, {4,16}, {5,24}, {3,32}, {5,41}, {2,33}, {7,31}, {9,19}, {11,38}, {12,18}, {3,30}, {6,40}, {11,22}, {7,23}, {7,15}, {5,13}, {2,28}, {2,18}, {1,29}, {8,15}, {3,41}, {7,28}, {12,21}, {1,34}, {9,38}, {5,23}, {4,37}, {10,36}, {10,25}, {2,16}, {2,32}, {6,33}, {12,34}, {8,21}, {2,17}, {10,41}, {3,14}, {8,35}, {5,29}, {7,14}, {3,27}, {2,34}, {6,26}, {6,15}, {10,33}, {7,30}, {4,21}, {1,26}, {11,26}, {8,19}, {2,44}, {11,14}, {4,38}, {12,23}, {6,31}, {9,44}, {11,36}, {8,27}, {9,35}, {8,43}, {7,44}, {4,22}, {9,28}, {12,36}, {1,42}, {11,30}, {10,17}, {4,32}, {6,42}, {1,27}, {3,16}, {1,13}, {9,29}, {3,25}, {11,20}, {8,37}, {10,20}, {6,24}, {3,43}, {10,35}, {5,39}, {12,37}, {1,18}, {12,20}, {5,25}, {4,24}, {5,40}, {9,22} }; // ETB44.12 (= ET44.14) // Bipartite(12,32) Valencies [8,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[44][12]:={ {9,13}, {11,43}, {5,14}, {10,21}, {3,15}, {4,42}, {11,23}, {12,19}, {5,30}, {6,36}, {6,17}, {10,27}, {8,36}, {10,43}, {4,16}, {12,14}, {12,22}, {10,40}, {7,31}, {9,21}, {11,38}, {11,22}, {9,37}, {8,42}, {7,15}, {5,13}, {2,28}, {12,25}, {3,31}, {2,19}, {4,26}, {8,41}, {10,30}, {1,29}, {7,28}, {6,43}, {11,34}, {12,30}, {5,33}, {7,41}, {1,36}, {2,16}, {2,32}, {6,33}, {3,40}, {8,21}, {4,33}, {9,34}, {7,25}, {10,37}, {10,24}, {5,15}, {8,26}, {3,23}, {11,39}, {5,29}, {1,19}, {11,18}, {2,40}, {4,17}, {2,35}, {12,35}, {1,35}, {2,44}, {4,38}, {2,24}, {3,42}, {12,38}, {1,23}, {1,39}, {7,18}, {7,44}, {4,22}, {10,14}, {3,26}, {3,24}, {5,17}, {5,31}, {8,20}, {6,20}, {9,18}, {11,27}, {4,32}, {3,39}, {1,20}, {1,13}, {8,25}, {9,29}, {12,41}, {8,37}, {9,32}, {6,44}, {6,27}, {9,16}, {7,34}, {6,28} }; // ETB44.13 (= ET44.16) // Bipartite(8,36) Valencies [9,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 104485552128 EdgesBipt[44][13]:={ {5,33}, {6,41}, {4,24}, {5,42}, {3,40}, {6,37}, {7,11}, {2,37}, {1,44}, {4,36}, {4,44}, {4,34}, {1,32}, {2,24}, {7,23}, {7,31}, {8,38}, {1,33}, {6,14}, {6,26}, {1,39}, {4,10}, {2,43}, {5,40}, {1,20}, {2,36}, {3,23}, {2,12}, {3,29}, {5,9}, {5,16}, {4,32}, {5,21}, {8,10}, {4,12}, {7,27}, {1,15}, {7,43}, {3,11}, {2,31}, {3,16}, {3,28}, {3,17}, {8,42}, {5,28}, {1,21}, {4,20}, {6,38}, {7,15}, {5,30}, {7,35}, {8,34}, {8,22}, {1,27}, {7,19}, {4,22}, {2,19}, {8,26}, {5,18}, {3,41}, {6,25}, {6,17}, {7,39}, {8,14}, {8,18}, {1,9}, {2,13}, {2,25}, {8,30}, {6,29}, {6,13}, {3,35} }; // ETB44.14 (= ET44.17) // Bipartite(22,22) Valencies [10,10] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 440 EdgesBipt[44][14]:={ {2,44}, {21,23}, {3,33}, {2,24}, {9,28}, {6,32}, {17,36}, {4,27}, {5,34}, {4,24}, {16,26}, {15,24}, {18,29}, {4,26}, {21,40}, {18,32}, {8,30}, {21,32}, {22,37}, {5,38}, {12,32}, {7,38}, {8,42}, {19,44}, {16,31}, {20,27}, {8,33}, {19,24}, {7,41}, {1,40}, {10,26}, {14,38}, {9,44}, {12,39}, {15,44}, {10,33}, {21,42}, {13,35}, {14,31}, {7,34}, {11,41}, {17,24}, {16,25}, {12,35}, {2,28}, {12,34}, {1,30}, {18,41}, {16,23}, {8,44}, {4,23}, {8,27}, {13,29}, {12,37}, {16,29}, {18,34}, {11,28}, {16,43}, {6,29}, {16,30}, {4,38}, {3,34}, {5,40}, {2,25}, {14,23}, {20,38}, {11,38}, {14,33}, {2,36}, {10,38}, {19,40}, {17,37}, {14,36}, {9,32}, {15,32}, {19,30}, {9,27}, {15,40}, {12,36}, {4,41}, {2,38}, {22,35}, {22,41}, {9,41}, {5,25}, {2,39}, {7,32}, {17,39}, {7,43}, {14,24}, {11,31}, {7,25}, {2,35}, {11,44}, {15,27}, {21,27}, {3,44}, {20,33}, {6,30}, {6,43}, {10,29}, {10,31}, {9,42}, {10,40}, {12,43}, {17,43}, {3,39}, {3,32}, {4,35}, {9,25}, {15,41}, {8,36}, {6,33}, {2,32}, {18,44}, {11,23}, {1,23}, {11,29}, {6,24}, {13,44}, {21,25}, {9,37}, {17,27}, {15,37}, {14,42}, {13,25}, {20,28}, {19,31}, {14,37}, {4,43}, {1,33}, {20,43}, {18,33}, {6,23}, {1,43}, {21,38}, {8,26}, {18,31}, {5,42}, {7,31}, {13,30}, {10,43}, {17,28}, {20,29}, {12,27}, {22,39}, {1,42}, {5,31}, {11,24}, {6,27}, {17,25}, {5,44}, {8,40}, {22,33}, {12,40}, {20,39}, {12,30}, {21,29}, {22,28}, {19,36}, {6,28}, {18,23}, {22,31}, {9,30}, {10,39}, {13,27}, {1,37}, {16,34}, {5,39}, {7,28}, {22,24}, {13,26}, {11,26}, {22,26}, {4,40}, {10,35}, {16,36}, {3,30}, {2,29}, {20,34}, {1,26}, {10,36}, {15,33}, {14,32}, {8,24}, {13,41}, {20,42}, {14,43}, {15,38}, {19,25}, {5,26}, {3,42}, {4,25}, {3,28}, {20,41}, {1,41}, {21,36}, {3,31}, {15,39}, {21,34}, {18,40}, {17,26}, {13,34}, {17,42}, {19,35}, {7,35}, {13,39}, {7,37}, {22,30}, {1,34}, {19,23}, {5,37}, {6,35}, {11,42}, {3,36}, {16,28}, {18,35}, {9,23}, {19,37}, {8,29} }; // ETB44.15 (= ET44.18) // Bipartite(22,22) Valencies [10,10] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 5536481280 EdgesBipt[44][15]:={ {2,44}, {16,41}, {10,24}, {2,24}, {13,32}, {9,28}, {2,33}, {17,35}, {17,44}, {11,36}, {17,36}, {18,39}, {4,27}, {12,29}, {5,34}, {13,40}, {4,24}, {15,24}, {18,29}, {4,26}, {21,40}, {3,40}, {11,25}, {8,30}, {8,43}, {7,38}, {8,42}, {8,28}, {18,38}, {20,27}, {3,43}, {3,25}, {1,40}, {9,44}, {12,41}, {21,42}, {21,35}, {13,35}, {14,31}, {8,39}, {22,32}, {11,41}, {17,24}, {16,25}, {7,36}, {15,43}, {2,28}, {12,34}, {1,30}, {16,23}, {4,23}, {8,31}, {13,29}, {12,37}, {18,37}, {10,30}, {16,30}, {19,28}, {4,38}, {3,34}, {14,23}, {20,38}, {11,38}, {11,33}, {6,31}, {10,38}, {17,37}, {14,36}, {19,26}, {15,32}, {16,24}, {19,30}, {9,27}, {1,44}, {8,41}, {12,44}, {14,40}, {7,39}, {22,41}, {5,25}, {2,39}, {15,26}, {10,41}, {7,25}, {20,31}, {22,27}, {2,35}, {17,33}, {11,44}, {15,27}, {21,27}, {20,33}, {5,23}, {10,29}, {10,31}, {22,44}, {9,34}, {9,42}, {10,40}, {1,29}, {3,32}, {4,35}, {13,33}, {6,33}, {2,32}, {7,26}, {19,42}, {13,43}, {1,23}, {6,24}, {20,44}, {13,44}, {5,30}, {6,44}, {19,41}, {15,35}, {11,30}, {5,24}, {15,37}, {14,42}, {15,34}, {20,28}, {13,28}, {10,42}, {18,26}, {19,31}, {18,27}, {18,36}, {4,43}, {1,33}, {21,31}, {3,29}, {22,43}, {8,37}, {5,28}, {21,38}, {8,26}, {17,31}, {12,26}, {12,33}, {5,41}, {22,25}, {8,32}, {12,23}, {13,24}, {17,25}, {6,26}, {22,33}, {20,23}, {12,40}, {20,39}, {12,30}, {21,29}, {14,34}, {3,23}, {18,25}, {21,30}, {5,36}, {7,29}, {1,37}, {16,34}, {14,25}, {5,39}, {7,28}, {19,32}, {4,37}, {6,42}, {10,35}, {16,36}, {6,36}, {2,29}, {11,27}, {16,35}, {18,28}, {10,27}, {20,34}, {1,26}, {4,34}, {11,32}, {14,32}, {19,39}, {19,43}, {6,25}, {20,42}, {2,40}, {9,33}, {14,43}, {15,38}, {3,42}, {16,39}, {9,39}, {9,38}, {7,27}, {15,23}, {1,41}, {3,31}, {18,40}, {17,26}, {6,37}, {17,42}, {13,39}, {21,24}, {11,43}, {7,37}, {5,35}, {22,30}, {22,36}, {9,31}, {1,34}, {21,41}, {2,43}, {6,35}, {3,36}, {16,28}, {7,40}, {9,23}, {19,37}, {4,32}, {14,29}, {22,38} }; // ETB44.16 (= ET44.19) // Bipartite(22,22) Valencies [10,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 225280 EdgesBipt[44][16]:={ {3,33}, {10,25}, {2,24}, {10,24}, {13,32}, {9,28}, {2,33}, {17,35}, {17,44}, {11,36}, {4,27}, {12,29}, {11,35}, {13,40}, {4,24}, {15,24}, {16,26}, {16,33}, {18,29}, {3,40}, {10,37}, {18,32}, {14,39}, {5,38}, {7,38}, {8,42}, {8,28}, {19,44}, {16,31}, {18,38}, {21,37}, {4,29}, {20,27}, {8,33}, {1,27}, {7,41}, {14,38}, {12,41}, {22,42}, {15,44}, {12,42}, {21,42}, {9,43}, {3,37}, {13,35}, {7,34}, {17,24}, {12,35}, {7,36}, {8,25}, {2,41}, {12,34}, {1,30}, {18,41}, {5,32}, {16,23}, {14,28}, {9,35}, {8,44}, {4,23}, {8,27}, {18,34}, {11,28}, {16,43}, {10,30}, {6,29}, {19,28}, {4,38}, {15,29}, {19,33}, {14,23}, {2,25}, {14,33}, {2,34}, {10,38}, {19,40}, {17,37}, {9,32}, {16,24}, {9,27}, {22,34}, {15,40}, {5,43}, {19,29}, {14,30}, {14,40}, {22,35}, {2,39}, {7,32}, {17,39}, {10,41}, {7,43}, {11,31}, {7,25}, {20,31}, {2,35}, {11,44}, {15,27}, {21,27}, {6,30}, {6,43}, {5,23}, {10,31}, {22,44}, {12,43}, {17,43}, {1,29}, {3,39}, {13,31}, {13,33}, {2,32}, {7,26}, {19,42}, {18,43}, {16,32}, {1,23}, {6,24}, {6,44}, {17,30}, {11,30}, {21,25}, {5,24}, {9,37}, {15,34}, {13,25}, {20,28}, {10,42}, {18,26}, {14,41}, {14,37}, {18,36}, {1,33}, {21,31}, {20,43}, {1,43}, {3,26}, {16,38}, {8,37}, {15,36}, {21,38}, {5,42}, {12,33}, {4,36}, {12,27}, {8,32}, {1,42}, {12,23}, {13,24}, {5,31}, {17,25}, {5,44}, {6,26}, {8,40}, {20,23}, {20,39}, {12,30}, {3,23}, {18,25}, {21,30}, {17,29}, {22,28}, {16,44}, {7,29}, {22,31}, {1,35}, {20,35}, {7,28}, {19,32}, {20,37}, {11,26}, {22,26}, {4,40}, {3,30}, {5,33}, {18,28}, {10,27}, {4,34}, {10,36}, {13,41}, {6,25}, {2,40}, {2,31}, {11,40}, {9,36}, {16,42}, {20,36}, {15,38}, {19,25}, {5,26}, {9,39}, {3,38}, {3,28}, {15,23}, {22,40}, {1,41}, {21,36}, {3,41}, {15,39}, {17,26}, {6,39}, {6,37}, {13,34}, {11,34}, {13,39}, {21,24}, {22,30}, {22,36}, {9,31}, {1,34}, {21,41}, {6,35}, {11,42}, {4,39}, {4,44}, {9,23}, {19,37}, {20,32}, {8,29}, {19,27}, {14,26} }; // ETB44.17 (= ET44.20) // Bipartite(20,24) Valencies [12,10] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2880 EdgesBipt[44][17]:={ {2,44}, {16,41}, {2,24}, {13,32}, {2,33}, {17,35}, {17,44}, {11,36}, {18,39}, {13,21}, {5,34}, {13,40}, {4,24}, {16,26}, {4,26}, {3,22}, {18,32}, {4,30}, {11,25}, {8,30}, {2,23}, {8,43}, {7,38}, {19,44}, {18,38}, {15,31}, {1,32}, {1,27}, {3,43}, {3,25}, {10,23}, {12,38}, {19,24}, {1,40}, {10,26}, {17,34}, {9,44}, {14,38}, {12,39}, {7,22}, {4,31}, {15,44}, {10,33}, {9,43}, {3,37}, {14,31}, {8,39}, {11,41}, {1,21}, {17,24}, {16,25}, {12,35}, {18,21}, {2,41}, {2,28}, {12,34}, {18,41}, {5,32}, {16,23}, {17,40}, {9,35}, {14,28}, {20,30}, {8,44}, {8,31}, {13,29}, {12,37}, {2,42}, {19,21}, {6,22}, {18,42}, {16,43}, {18,37}, {10,30}, {6,29}, {19,28}, {15,29}, {6,21}, {3,34}, {5,40}, {2,25}, {20,38}, {11,33}, {1,38}, {2,36}, {10,38}, {9,29}, {19,40}, {19,26}, {16,24}, {15,40}, {8,41}, {2,37}, {5,43}, {12,44}, {14,30}, {19,22}, {4,42}, {5,25}, {2,39}, {7,32}, {17,23}, {1,31}, {10,41}, {11,22}, {7,25}, {11,31}, {10,28}, {20,31}, {17,33}, {1,22}, {15,27}, {3,44}, {20,33}, {4,33}, {4,21}, {13,22}, {15,42}, {10,21}, {9,42}, {12,43}, {1,29}, {4,35}, {9,25}, {8,36}, {6,33}, {13,33}, {19,42}, {18,43}, {16,32}, {11,29}, {5,30}, {6,44}, {17,30}, {5,24}, {9,37}, {17,27}, {13,23}, {12,28}, {15,37}, {14,42}, {14,41}, {3,27}, {18,36}, {4,28}, {3,29}, {6,23}, {1,43}, {5,28}, {13,36}, {15,36}, {8,26}, {18,31}, {16,22}, {9,22}, {20,29}, {9,40}, {8,21}, {12,23}, {13,24}, {11,24}, {5,31}, {17,25}, {6,26}, {12,40}, {20,39}, {12,30}, {3,23}, {10,32}, {17,29}, {20,25}, {5,36}, {19,36}, {6,41}, {1,35}, {15,21}, {16,34}, {14,25}, {20,35}, {7,28}, {20,37}, {11,26}, {6,42}, {4,40}, {7,23}, {8,34}, {11,27}, {16,35}, {18,28}, {10,27}, {20,34}, {1,26}, {14,44}, {10,36}, {10,34}, {18,22}, {11,32}, {15,33}, {8,24}, {19,43}, {6,38}, {5,27}, {14,43}, {15,38}, {16,39}, {9,39}, {3,38}, {7,27}, {20,41}, {14,35}, {13,37}, {3,41}, {9,24}, {17,26}, {6,39}, {7,33}, {13,34}, {7,35}, {13,39}, {2,30}, {15,30}, {7,37}, {9,31}, {1,34}, {19,23}, {5,37}, {6,35}, {11,42}, {3,36}, {4,39}, {16,28}, {7,40}, {7,42}, {20,32}, {14,27}, {8,29}, {4,32}, {19,27}, {12,21}, {14,26} }; // ETB44.18 (= ET44.21) // Bipartite(20,24) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 445805022412800000000 EdgesBipt[44][18]:={ {10,25}, {13,32}, {9,28}, {2,33}, {17,44}, {11,36}, {17,36}, {4,27}, {13,21}, {11,35}, {13,40}, {15,24}, {16,26}, {18,29}, {4,26}, {3,40}, {10,37}, {4,30}, {16,27}, {8,30}, {8,43}, {12,22}, {8,42}, {19,44}, {16,31}, {18,38}, {15,31}, {20,27}, {1,32}, {3,43}, {12,38}, {19,24}, {7,44}, {1,40}, {10,26}, {9,44}, {14,38}, {12,39}, {4,31}, {15,44}, {10,33}, {12,42}, {3,35}, {2,26}, {8,39}, {1,21}, {17,24}, {12,35}, {7,36}, {15,43}, {17,21}, {18,21}, {2,41}, {12,34}, {18,41}, {5,32}, {16,23}, {17,40}, {20,30}, {4,23}, {8,31}, {8,27}, {13,29}, {2,42}, {18,34}, {10,22}, {6,22}, {18,42}, {11,28}, {16,43}, {18,37}, {10,30}, {6,29}, {16,30}, {19,28}, {4,38}, {6,21}, {2,25}, {5,40}, {20,38}, {2,34}, {14,33}, {4,22}, {10,38}, {9,29}, {19,40}, {17,37}, {9,32}, {14,21}, {15,32}, {15,40}, {1,44}, {5,29}, {2,38}, {2,37}, {14,30}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {10,41}, {7,43}, {11,31}, {20,31}, {17,33}, {11,44}, {15,27}, {3,44}, {6,30}, {10,29}, {10,21}, {12,43}, {1,29}, {3,39}, {18,30}, {3,32}, {4,35}, {9,25}, {13,33}, {6,33}, {11,23}, {13,44}, {15,35}, {5,24}, {9,37}, {8,22}, {14,42}, {13,25}, {8,35}, {10,42}, {13,28}, {18,26}, {19,31}, {1,28}, {14,41}, {3,27}, {14,37}, {20,22}, {4,43}, {1,33}, {20,43}, {18,33}, {16,38}, {5,28}, {13,36}, {15,36}, {8,26}, {12,26}, {16,22}, {7,31}, {5,41}, {17,28}, {12,27}, {9,40}, {1,24}, {12,23}, {14,22}, {13,24}, {11,24}, {17,25}, {11,39}, {5,44}, {6,26}, {20,23}, {20,39}, {12,30}, {3,23}, {8,23}, {14,34}, {18,25}, {17,29}, {5,36}, {1,25}, {17,41}, {19,36}, {6,41}, {1,37}, {16,34}, {14,25}, {20,35}, {7,28}, {19,32}, {6,42}, {7,23}, {2,21}, {8,34}, {5,33}, {20,26}, {3,24}, {2,29}, {11,27}, {16,35}, {8,38}, {20,34}, {2,22}, {4,34}, {10,34}, {18,22}, {11,32}, {19,39}, {19,43}, {13,41}, {6,25}, {20,42}, {6,38}, {11,40}, {9,33}, {9,36}, {16,42}, {6,34}, {15,28}, {16,39}, {3,28}, {7,27}, {15,23}, {1,41}, {13,37}, {7,24}, {3,31}, {15,39}, {9,24}, {12,31}, {6,37}, {19,35}, {7,35}, {11,43}, {5,21}, {2,30}, {19,23}, {5,37}, {17,32}, {9,21}, {3,36}, {4,39}, {7,40}, {19,27}, {1,36}, {14,29}, {14,26} }; // ETB44.19 (= ET44.22) // Bipartite(20,24) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 951050714480640000 EdgesBipt[44][19]:={ {10,24}, {2,24}, {13,32}, {2,33}, {17,35}, {17,44}, {18,39}, {13,21}, {11,35}, {4,24}, {16,26}, {4,26}, {3,22}, {3,40}, {17,38}, {4,30}, {11,25}, {8,30}, {14,39}, {8,43}, {5,38}, {12,32}, {8,42}, {16,31}, {15,31}, {1,32}, {1,27}, {3,43}, {3,25}, {12,38}, {7,41}, {9,44}, {7,22}, {4,31}, {10,33}, {12,42}, {2,27}, {3,35}, {3,37}, {13,35}, {7,34}, {11,41}, {1,21}, {16,25}, {15,43}, {17,21}, {18,21}, {8,25}, {2,28}, {5,32}, {9,35}, {14,28}, {20,30}, {8,44}, {8,31}, {13,29}, {12,37}, {2,42}, {18,34}, {10,22}, {6,22}, {15,25}, {18,42}, {11,28}, {16,43}, {10,30}, {16,30}, {19,28}, {4,38}, {15,29}, {6,21}, {3,34}, {20,38}, {6,40}, {1,38}, {2,34}, {14,33}, {2,36}, {9,29}, {19,40}, {9,32}, {14,21}, {14,36}, {16,24}, {9,26}, {9,27}, {12,36}, {15,40}, {1,44}, {5,29}, {12,44}, {19,29}, {14,30}, {14,40}, {19,22}, {4,42}, {9,41}, {2,39}, {17,39}, {17,23}, {11,22}, {7,43}, {11,31}, {10,28}, {7,25}, {14,24}, {20,31}, {17,33}, {6,30}, {5,23}, {10,21}, {16,37}, {10,40}, {12,43}, {1,29}, {18,30}, {15,41}, {8,36}, {6,33}, {13,33}, {16,32}, {11,23}, {1,23}, {11,29}, {6,24}, {20,44}, {13,44}, {19,41}, {15,35}, {17,27}, {13,23}, {12,25}, {15,37}, {14,42}, {15,34}, {18,24}, {10,42}, {19,31}, {18,27}, {18,36}, {4,43}, {1,33}, {20,43}, {18,33}, {3,29}, {16,38}, {8,37}, {8,26}, {12,26}, {7,31}, {5,41}, {4,36}, {8,32}, {14,22}, {6,27}, {5,44}, {12,30}, {3,23}, {14,34}, {1,39}, {17,29}, {20,25}, {16,44}, {17,41}, {7,29}, {6,28}, {13,27}, {10,39}, {1,35}, {5,39}, {7,28}, {20,37}, {4,37}, {6,42}, {13,26}, {7,23}, {16,36}, {6,36}, {2,21}, {5,33}, {20,26}, {11,37}, {18,28}, {10,27}, {8,38}, {1,26}, {2,22}, {10,36}, {10,34}, {15,22}, {18,22}, {8,24}, {19,43}, {13,41}, {20,42}, {20,24}, {2,40}, {11,40}, {9,33}, {16,42}, {20,36}, {6,34}, {5,27}, {19,25}, {5,26}, {15,28}, {9,39}, {13,38}, {9,38}, {4,25}, {12,24}, {3,28}, {15,23}, {1,41}, {3,41}, {3,31}, {18,40}, {17,26}, {6,39}, {12,31}, {11,34}, {19,35}, {7,35}, {13,39}, {11,43}, {5,21}, {2,30}, {19,34}, {7,37}, {5,35}, {19,23}, {17,32}, {9,21}, {7,40}, {4,44}, {9,23}, {19,37}, {20,32}, {14,27}, {4,32} }; // ETB44.20 (= ET44.23) // Bipartite(20,24) Valencies [12,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11741366845440 EdgesBipt[44][20]:={ {2,44}, {3,33}, {16,41}, {10,25}, {2,24}, {13,32}, {17,35}, {11,36}, {4,27}, {13,21}, {11,35}, {5,34}, {15,24}, {18,29}, {10,37}, {18,32}, {14,39}, {12,22}, {12,32}, {8,28}, {19,44}, {16,31}, {18,38}, {20,27}, {1,27}, {12,38}, {19,24}, {7,41}, {10,26}, {17,34}, {9,44}, {7,22}, {4,31}, {10,33}, {12,42}, {3,35}, {9,43}, {20,21}, {13,35}, {2,26}, {14,31}, {7,34}, {11,41}, {1,21}, {16,25}, {10,44}, {2,28}, {12,34}, {1,30}, {18,41}, {16,23}, {17,40}, {14,28}, {8,44}, {13,29}, {16,29}, {2,42}, {18,34}, {16,43}, {6,29}, {16,30}, {5,40}, {20,38}, {11,33}, {6,31}, {2,34}, {14,33}, {2,36}, {5,22}, {4,22}, {10,38}, {17,37}, {9,32}, {14,21}, {19,26}, {16,24}, {9,26}, {19,30}, {12,36}, {15,40}, {8,41}, {2,38}, {12,44}, {14,40}, {17,23}, {7,43}, {7,25}, {20,31}, {15,27}, {3,44}, {19,38}, {20,33}, {6,30}, {6,43}, {4,33}, {4,21}, {10,31}, {15,42}, {10,21}, {9,42}, {16,37}, {17,43}, {1,29}, {3,39}, {3,32}, {11,21}, {9,25}, {2,32}, {13,33}, {18,44}, {19,42}, {11,23}, {1,23}, {11,29}, {6,24}, {20,44}, {13,44}, {5,30}, {11,30}, {5,24}, {9,37}, {13,23}, {12,28}, {8,22}, {15,34}, {8,35}, {18,26}, {19,31}, {3,27}, {14,37}, {4,28}, {1,33}, {4,43}, {20,43}, {3,29}, {6,23}, {3,26}, {5,28}, {15,36}, {8,26}, {17,31}, {5,42}, {12,26}, {7,31}, {10,43}, {17,28}, {8,32}, {1,42}, {1,24}, {14,22}, {11,24}, {17,25}, {11,39}, {8,40}, {12,40}, {20,39}, {12,30}, {3,23}, {8,23}, {14,34}, {1,39}, {10,32}, {17,29}, {20,25}, {5,36}, {3,21}, {17,41}, {7,29}, {19,36}, {6,41}, {18,23}, {9,30}, {10,39}, {13,27}, {1,35}, {15,21}, {5,39}, {14,25}, {7,28}, {19,32}, {20,37}, {4,37}, {6,42}, {13,26}, {4,40}, {7,23}, {16,36}, {6,36}, {8,34}, {5,33}, {20,26}, {11,27}, {16,35}, {18,28}, {10,27}, {8,38}, {2,22}, {4,34}, {15,22}, {18,22}, {15,33}, {19,43}, {6,25}, {13,41}, {2,40}, {9,36}, {16,42}, {5,27}, {14,43}, {19,25}, {15,28}, {13,38}, {9,38}, {4,25}, {3,38}, {12,24}, {1,41}, {3,41}, {15,39}, {9,24}, {18,40}, {6,37}, {7,35}, {13,39}, {17,22}, {5,21}, {2,30}, {15,30}, {7,37}, {9,31}, {6,35}, {11,42}, {4,39}, {18,35}, {7,40}, {19,37}, {20,32}, {14,27}, {8,29}, {1,36} }; // ETB44.21 (= ET44.24) // Bipartite(20,24) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 137594142720 EdgesBipt[44][21]:={ {10,25}, {2,24}, {10,24}, {9,28}, {13,32}, {2,33}, {6,32}, {17,35}, {11,36}, {17,36}, {18,39}, {5,34}, {16,26}, {16,33}, {4,26}, {3,22}, {3,40}, {10,37}, {16,27}, {8,30}, {14,39}, {8,43}, {12,22}, {12,32}, {8,42}, {19,44}, {15,31}, {4,29}, {1,32}, {8,33}, {1,27}, {3,43}, {3,25}, {12,38}, {20,40}, {7,41}, {10,26}, {14,38}, {2,27}, {3,37}, {13,35}, {14,31}, {8,39}, {1,21}, {17,24}, {7,36}, {15,43}, {18,21}, {10,44}, {8,25}, {2,28}, {12,34}, {9,35}, {4,23}, {8,31}, {8,27}, {12,37}, {13,29}, {2,42}, {18,34}, {19,21}, {15,25}, {11,28}, {18,37}, {10,30}, {6,29}, {16,30}, {19,28}, {4,38}, {15,29}, {19,33}, {3,34}, {5,40}, {11,38}, {6,31}, {1,38}, {2,34}, {14,33}, {2,36}, {5,22}, {4,22}, {10,38}, {9,29}, {19,40}, {17,37}, {14,21}, {19,26}, {16,24}, {1,44}, {4,41}, {5,29}, {12,44}, {19,22}, {7,39}, {9,41}, {2,39}, {17,23}, {11,22}, {20,31}, {11,44}, {15,27}, {19,38}, {6,43}, {5,23}, {10,31}, {9,34}, {9,42}, {12,43}, {17,43}, {1,29}, {7,30}, {4,35}, {15,41}, {8,36}, {18,43}, {16,32}, {1,23}, {13,44}, {6,44}, {17,30}, {11,30}, {15,35}, {13,23}, {12,28}, {12,25}, {15,37}, {20,28}, {10,42}, {18,27}, {14,37}, {20,22}, {4,28}, {1,33}, {20,43}, {18,33}, {6,23}, {16,38}, {8,37}, {5,28}, {13,36}, {17,31}, {18,31}, {12,26}, {9,22}, {13,30}, {10,43}, {5,41}, {20,29}, {9,40}, {8,21}, {11,24}, {13,24}, {17,25}, {6,26}, {20,23}, {12,40}, {1,39}, {10,32}, {18,25}, {17,29}, {20,25}, {16,44}, {17,41}, {7,29}, {6,41}, {9,30}, {1,35}, {13,42}, {15,21}, {5,39}, {14,25}, {16,21}, {20,35}, {19,32}, {20,37}, {11,26}, {13,26}, {4,40}, {7,23}, {16,36}, {2,21}, {3,30}, {5,33}, {3,24}, {18,28}, {20,34}, {1,26}, {2,22}, {4,34}, {14,44}, {10,36}, {18,22}, {11,32}, {14,32}, {15,33}, {8,24}, {19,39}, {6,25}, {13,41}, {6,38}, {2,40}, {11,40}, {9,36}, {16,42}, {5,27}, {14,43}, {3,42}, {16,39}, {13,38}, {3,28}, {7,27}, {20,41}, {15,23}, {1,41}, {7,24}, {3,31}, {15,39}, {9,24}, {18,40}, {7,33}, {6,37}, {12,31}, {11,34}, {17,42}, {7,35}, {5,21}, {2,30}, {19,34}, {5,35}, {6,35}, {11,42}, {3,36}, {7,42}, {9,23}, {4,44}, {7,21}, {14,27}, {4,32}, {19,27}, {14,26} }; // ETB44.22 (= ET44.25) // Bipartite(20,24) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 503316480 EdgesBipt[44][22]:={ {3,33}, {16,41}, {10,25}, {2,24}, {13,32}, {9,28}, {17,35}, {17,36}, {4,27}, {12,29}, {13,21}, {5,34}, {13,40}, {15,24}, {16,26}, {18,29}, {4,26}, {3,22}, {3,40}, {10,37}, {18,32}, {4,30}, {8,30}, {14,39}, {2,23}, {8,42}, {16,31}, {20,27}, {8,33}, {1,40}, {10,26}, {14,38}, {12,41}, {15,44}, {12,42}, {9,43}, {11,41}, {1,21}, {17,24}, {16,25}, {12,35}, {7,36}, {18,21}, {10,44}, {2,41}, {18,41}, {5,32}, {17,40}, {9,35}, {20,30}, {8,44}, {4,23}, {13,29}, {12,37}, {16,29}, {2,42}, {10,22}, {19,21}, {6,22}, {15,25}, {18,42}, {11,28}, {16,43}, {10,30}, {6,29}, {16,30}, {19,28}, {4,38}, {19,33}, {3,34}, {5,40}, {2,25}, {14,23}, {20,38}, {11,38}, {11,33}, {6,31}, {1,38}, {14,33}, {2,36}, {5,22}, {10,38}, {19,40}, {17,37}, {14,21}, {19,26}, {15,32}, {9,26}, {9,27}, {12,36}, {15,40}, {8,41}, {2,37}, {14,30}, {7,39}, {4,42}, {5,25}, {17,39}, {17,23}, {1,31}, {11,22}, {7,43}, {11,31}, {7,25}, {2,35}, {1,22}, {15,27}, {3,44}, {19,38}, {6,30}, {6,43}, {4,33}, {4,21}, {13,22}, {16,37}, {12,43}, {17,43}, {1,29}, {18,30}, {3,32}, {11,21}, {4,35}, {8,36}, {13,33}, {18,44}, {11,29}, {20,44}, {13,44}, {5,24}, {17,27}, {12,25}, {15,37}, {14,42}, {15,34}, {18,24}, {8,35}, {10,42}, {13,28}, {19,31}, {1,28}, {20,22}, {18,36}, {1,33}, {18,33}, {3,29}, {1,43}, {16,38}, {5,28}, {13,36}, {15,36}, {17,31}, {16,22}, {7,31}, {17,28}, {9,40}, {8,32}, {8,21}, {12,23}, {13,24}, {17,25}, {5,44}, {6,26}, {20,39}, {12,30}, {8,23}, {10,32}, {20,25}, {5,36}, {3,21}, {6,41}, {18,23}, {10,39}, {16,34}, {5,39}, {7,28}, {20,37}, {11,26}, {6,42}, {7,23}, {20,26}, {3,24}, {2,29}, {10,27}, {20,34}, {1,26}, {14,44}, {10,34}, {15,22}, {14,32}, {8,24}, {19,39}, {19,43}, {13,41}, {6,25}, {20,42}, {6,38}, {2,31}, {11,40}, {9,33}, {16,42}, {6,34}, {5,27}, {15,28}, {9,39}, {9,38}, {12,24}, {3,28}, {7,27}, {14,35}, {1,41}, {3,41}, {7,24}, {15,39}, {12,31}, {6,37}, {13,34}, {11,34}, {19,35}, {7,35}, {11,43}, {2,30}, {7,37}, {9,31}, {1,34}, {19,23}, {5,37}, {2,43}, {9,21}, {3,36}, {4,39}, {18,35}, {7,40}, {4,44}, {9,23}, {20,32}, {14,27}, {8,29}, {4,32}, {19,27}, {14,26} }; // ETB44.23 (= ET44.26) // Bipartite(20,24) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5898240 EdgesBipt[44][23]:={ {2,44}, {16,41}, {10,24}, {17,44}, {17,36}, {4,27}, {13,21}, {15,24}, {16,26}, {16,33}, {3,22}, {18,32}, {4,30}, {11,25}, {2,23}, {8,43}, {12,22}, {18,38}, {15,31}, {20,27}, {1,27}, {3,43}, {3,25}, {12,38}, {20,40}, {7,41}, {7,44}, {1,40}, {10,26}, {17,34}, {9,44}, {14,38}, {15,44}, {10,33}, {3,37}, {2,26}, {14,31}, {11,41}, {1,21}, {17,24}, {7,36}, {15,43}, {2,41}, {12,34}, {1,30}, {5,32}, {16,23}, {14,28}, {8,44}, {8,31}, {13,29}, {12,37}, {16,29}, {2,42}, {10,22}, {19,21}, {6,22}, {18,37}, {16,30}, {19,28}, {19,33}, {6,21}, {3,34}, {5,40}, {2,25}, {14,23}, {11,38}, {11,33}, {6,31}, {6,40}, {14,33}, {4,22}, {10,38}, {9,29}, {19,40}, {9,32}, {14,21}, {14,36}, {19,26}, {15,32}, {16,24}, {19,30}, {9,27}, {15,40}, {8,41}, {2,38}, {2,37}, {14,40}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {17,39}, {10,41}, {11,22}, {14,24}, {20,31}, {2,35}, {15,27}, {3,44}, {19,38}, {6,43}, {4,33}, {5,23}, {10,29}, {4,21}, {10,31}, {9,34}, {13,22}, {10,21}, {9,42}, {12,43}, {17,43}, {7,30}, {3,32}, {11,21}, {9,25}, {8,36}, {6,33}, {2,32}, {13,33}, {18,44}, {19,42}, {18,43}, {1,23}, {11,29}, {6,24}, {20,44}, {5,30}, {11,30}, {15,35}, {9,37}, {17,27}, {12,28}, {12,25}, {20,28}, {8,35}, {18,26}, {1,28}, {20,22}, {4,28}, {1,33}, {20,43}, {3,29}, {3,26}, {16,38}, {5,28}, {13,36}, {15,36}, {8,26}, {17,31}, {18,31}, {5,42}, {12,26}, {9,22}, {12,33}, {13,30}, {10,43}, {8,32}, {1,42}, {1,24}, {13,24}, {6,27}, {5,44}, {12,40}, {20,39}, {8,23}, {1,39}, {18,25}, {17,29}, {20,25}, {17,41}, {7,29}, {6,28}, {18,23}, {9,30}, {13,27}, {1,35}, {13,42}, {5,39}, {16,21}, {20,37}, {4,37}, {11,26}, {4,40}, {7,23}, {16,36}, {6,36}, {11,37}, {2,29}, {16,35}, {18,28}, {8,38}, {20,34}, {4,34}, {10,36}, {10,34}, {8,24}, {13,41}, {16,42}, {6,34}, {5,27}, {14,43}, {19,25}, {15,28}, {9,39}, {4,25}, {3,38}, {7,27}, {14,35}, {15,23}, {3,41}, {7,24}, {3,31}, {15,39}, {18,40}, {6,39}, {12,31}, {11,34}, {13,34}, {19,35}, {7,35}, {13,39}, {17,22}, {2,30}, {5,35}, {19,23}, {5,37}, {17,32}, {11,42}, {4,39}, {18,35}, {7,42}, {19,37}, {20,32}, {8,29}, {12,21}, {1,36}, {14,26} }; // ETB44.24 (= ET44.27) // Bipartite(20,24) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2949120 EdgesBipt[44][24]:={ {3,33}, {16,41}, {10,25}, {2,24}, {2,33}, {17,35}, {11,36}, {17,36}, {18,39}, {12,29}, {13,40}, {16,26}, {16,33}, {18,29}, {4,26}, {3,40}, {17,38}, {10,37}, {11,25}, {16,27}, {8,30}, {14,39}, {2,23}, {12,22}, {5,38}, {8,42}, {8,28}, {19,44}, {15,31}, {4,29}, {8,33}, {3,25}, {19,24}, {7,41}, {7,44}, {1,40}, {4,31}, {12,41}, {15,44}, {12,42}, {3,37}, {20,21}, {13,35}, {2,26}, {14,31}, {1,21}, {17,24}, {7,36}, {15,43}, {10,44}, {2,28}, {12,34}, {18,41}, {5,32}, {9,35}, {14,28}, {8,44}, {4,23}, {16,29}, {18,34}, {10,22}, {15,25}, {10,30}, {6,29}, {4,38}, {5,40}, {11,38}, {6,40}, {6,31}, {1,38}, {14,33}, {2,36}, {4,22}, {17,37}, {14,21}, {15,32}, {16,24}, {9,26}, {19,30}, {9,27}, {12,36}, {4,41}, {8,41}, {2,38}, {14,40}, {5,25}, {7,32}, {15,26}, {17,23}, {10,41}, {11,22}, {7,43}, {11,31}, {7,25}, {2,35}, {1,22}, {20,33}, {6,30}, {6,43}, {5,23}, {10,29}, {9,34}, {13,22}, {15,42}, {9,42}, {12,43}, {1,29}, {3,39}, {13,31}, {4,35}, {19,42}, {16,32}, {13,43}, {20,44}, {17,30}, {13,23}, {15,37}, {13,25}, {18,24}, {8,35}, {10,42}, {13,28}, {19,31}, {1,28}, {18,27}, {3,27}, {20,22}, {18,36}, {4,43}, {1,33}, {16,38}, {5,28}, {9,22}, {7,31}, {12,33}, {13,30}, {8,32}, {8,21}, {14,22}, {6,27}, {11,24}, {17,25}, {11,39}, {5,44}, {6,26}, {8,40}, {20,23}, {12,30}, {8,23}, {14,34}, {10,32}, {17,29}, {20,25}, {3,21}, {1,25}, {16,44}, {17,41}, {7,29}, {19,36}, {6,41}, {6,28}, {18,23}, {9,30}, {10,39}, {13,42}, {1,37}, {15,21}, {5,39}, {16,21}, {20,35}, {7,28}, {19,32}, {20,37}, {11,26}, {6,42}, {16,36}, {2,21}, {3,30}, {11,37}, {3,24}, {11,27}, {18,28}, {10,27}, {20,34}, {1,26}, {4,34}, {14,44}, {10,34}, {18,22}, {14,32}, {15,33}, {19,39}, {19,43}, {6,38}, {20,24}, {2,40}, {2,31}, {9,33}, {20,36}, {5,27}, {14,43}, {15,38}, {5,26}, {3,42}, {16,39}, {9,39}, {9,38}, {12,24}, {3,28}, {1,41}, {13,37}, {7,24}, {18,40}, {17,26}, {6,39}, {12,31}, {13,34}, {11,34}, {17,42}, {19,35}, {11,43}, {15,30}, {7,37}, {5,35}, {1,34}, {19,23}, {5,37}, {2,43}, {9,21}, {3,36}, {18,35}, {7,40}, {4,44}, {9,23}, {20,32}, {14,27}, {8,29}, {4,32}, {19,27}, {12,21} }; // ETB44.25 (= ET44.28) // Bipartite(22,22) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 5536481280 EdgesBipt[44][25]:={ {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {5,38}, {19,26}, {4,28}, {5,43}, {3,26}, {8,26}, {22,40}, {13,37}, {17,42}, {2,35}, {17,33}, {4,31}, {10,33}, {15,27}, {8,23}, {3,39}, {19,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {14,44}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {12,28}, {22,37}, {2,25}, {4,43}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {20,43}, {8,37}, {20,24}, {21,38}, {12,38}, {7,41}, {11,39}, {10,26}, {22,42}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {20,35}, {9,35}, {1,36}, {16,34}, {16,43}, {6,44}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {2,36}, {20,36}, {16,40}, {20,42}, {22,34}, {18,29}, {9,36}, {9,39}, {18,36}, {5,27}, {15,28}, {5,28}, {7,32}, {12,24}, {12,27}, {1,39}, {6,27}, {11,42}, {3,36}, {19,23}, {17,29}, {20,25}, {4,32}, {1,30}, {14,28}, {16,29}, {3,30}, {2,24}, {11,23}, {22,26}, {10,36}, {14,33}, {15,37}, {10,38}, {21,25}, {13,25}, {14,39}, {21,31}, {19,30}, {8,24}, {4,41}, {8,41}, {21,37}, {3,29}, {17,31}, {13,36}, {1,41}, {22,29}, {12,41}, {20,31}, {3,44}, {3,25}, {19,24}, {11,34}, {21,42}, {2,43}, {2,27}, {12,30}, {6,30}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {18,25}, {1,25}, {22,31}, {5,39}, {20,44}, {17,44}, {19,41}, {13,29}, {8,34}, {9,25}, {17,30}, {5,40}, {7,23}, {10,25}, {17,38}, {6,31}, {12,25}, {14,37}, {13,38}, {19,44}, {18,31}, {14,40}, {3,41}, {15,39}, {9,44}, {8,32}, {22,39}, {9,24}, {19,34}, {16,44}, {7,40}, {17,41}, {5,23}, {20,32}, {2,26}, {18,41}, {7,29}, {18,30}, {3,33}, {13,32}, {14,26}, {19,33}, {9,28}, {4,27}, {19,43}, {8,43}, {16,38}, {20,28}, {21,33}, {12,36}, {16,27}, {2,37}, {4,42}, {5,29}, {14,30}, {3,28}, {21,34}, {7,31}, {8,33}, {12,39}, {11,31}, {20,33}, {21,44}, {19,35}, {7,25}, {15,42}, {1,34}, {13,35}, {22,23}, {21,27}, {7,42}, {6,41}, {17,24}, {17,40}, {12,34}, {8,44}, {16,23}, {6,42}, {18,23}, {19,32}, {18,43}, {14,25}, {11,37}, {11,28}, {1,23}, {22,24}, {10,27}, {10,34}, {16,33}, {3,40}, {17,27}, {8,35}, {2,40}, {14,41}, {4,26}, {16,39}, {1,28}, {2,38}, {22,35}, {21,36}, {15,31}, {7,43}, {18,40}, {1,27}, {5,44}, {10,23}, {15,26}, {9,43}, {3,37}, {9,42}, {15,43}, {4,39}, {12,35}, {7,36}, {6,35}, {21,26}, {22,28}, {18,42}, {16,32}, {2,32}, {6,33}, {18,34}, {11,26}, {5,33}, {6,40}, {21,23} }; // ETB44.26 (= ET44.29) // Bipartite(16,28) Valencies [14,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 672 EdgesBipt[44][26]:={ {3,33}, {16,41}, {10,25}, {1,20}, {5,17}, {2,24}, {10,24}, {9,28}, {13,32}, {2,33}, {6,32}, {11,36}, {4,27}, {13,21}, {11,35}, {5,34}, {4,24}, {14,19}, {15,24}, {16,33}, {3,22}, {4,30}, {16,27}, {8,30}, {16,40}, {8,43}, {12,22}, {12,32}, {7,38}, {8,42}, {8,28}, {16,31}, {4,29}, {1,32}, {1,27}, {12,38}, {7,41}, {7,44}, {1,40}, {7,22}, {12,41}, {1,19}, {12,42}, {3,35}, {13,35}, {2,26}, {14,31}, {7,34}, {1,21}, {10,44}, {2,41}, {2,28}, {1,30}, {9,35}, {4,23}, {8,31}, {8,27}, {2,42}, {15,25}, {3,18}, {16,43}, {6,29}, {4,38}, {15,29}, {3,34}, {2,25}, {14,23}, {11,33}, {6,31}, {6,40}, {1,38}, {2,34}, {14,33}, {1,17}, {2,36}, {5,22}, {8,19}, {9,32}, {12,17}, {15,32}, {9,26}, {12,20}, {1,44}, {2,37}, {14,30}, {14,40}, {7,39}, {2,39}, {15,26}, {1,31}, {10,41}, {7,25}, {11,31}, {11,44}, {1,22}, {6,30}, {6,43}, {5,23}, {10,29}, {3,20}, {15,19}, {10,40}, {8,17}, {8,36}, {6,33}, {7,26}, {5,18}, {11,23}, {1,23}, {13,43}, {11,29}, {11,30}, {5,24}, {9,37}, {12,28}, {12,25}, {15,37}, {8,35}, {10,42}, {13,28}, {4,43}, {15,17}, {3,26}, {16,38}, {13,36}, {15,36}, {12,26}, {9,22}, {10,43}, {5,41}, {8,32}, {3,19}, {14,18}, {14,22}, {13,24}, {11,39}, {5,44}, {12,19}, {6,26}, {12,40}, {14,34}, {5,36}, {3,21}, {16,44}, {6,28}, {9,30}, {13,27}, {1,35}, {13,42}, {14,20}, {16,34}, {14,25}, {16,21}, {4,37}, {6,42}, {15,18}, {4,40}, {7,23}, {10,17}, {11,37}, {2,29}, {11,27}, {16,35}, {10,27}, {14,44}, {10,34}, {15,22}, {10,18}, {16,20}, {6,25}, {13,41}, {6,38}, {9,33}, {9,36}, {16,42}, {5,27}, {8,18}, {3,42}, {15,28}, {16,39}, {9,39}, {13,38}, {9,38}, {10,19}, {4,25}, {12,24}, {8,20}, {3,28}, {15,23}, {13,37}, {3,41}, {7,24}, {3,31}, {10,20}, {6,39}, {7,33}, {11,34}, {5,19}, {6,20}, {13,39}, {11,43}, {5,21}, {13,17}, {15,30}, {7,37}, {5,35}, {2,18}, {9,31}, {5,37}, {2,43}, {4,17}, {9,21}, {3,36}, {4,39}, {7,40}, {4,44}, {9,23}, {7,21}, {8,29}, {4,32}, {11,18}, {12,21}, {14,29}, {14,26} }; // ETB44.27 (= ET44.30) // Bipartite(16,28) Valencies [14,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 21504 EdgesBipt[44][27]:={ {11,17}, {16,41}, {10,24}, {2,24}, {9,28}, {13,32}, {4,27}, {12,29}, {11,35}, {15,24}, {16,33}, {3,22}, {3,40}, {10,37}, {4,30}, {11,25}, {16,27}, {8,30}, {16,40}, {14,39}, {8,43}, {5,38}, {12,22}, {7,38}, {8,42}, {16,31}, {15,31}, {4,29}, {1,32}, {3,43}, {10,23}, {12,38}, {7,44}, {1,40}, {4,19}, {12,41}, {10,33}, {3,35}, {2,26}, {14,31}, {7,34}, {16,25}, {7,36}, {15,43}, {8,25}, {10,44}, {2,41}, {2,28}, {12,34}, {4,23}, {8,27}, {13,29}, {11,28}, {10,30}, {3,17}, {15,29}, {6,21}, {14,23}, {11,38}, {6,40}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {1,18}, {14,21}, {14,36}, {12,17}, {15,32}, {9,26}, {15,40}, {1,44}, {2,38}, {9,19}, {5,43}, {12,44}, {7,39}, {5,25}, {2,39}, {15,26}, {1,31}, {10,41}, {10,28}, {2,35}, {11,44}, {3,44}, {6,30}, {6,43}, {4,33}, {4,21}, {9,34}, {13,22}, {15,19}, {9,42}, {2,20}, {12,43}, {1,29}, {8,17}, {3,39}, {3,32}, {11,21}, {4,35}, {8,36}, {6,33}, {2,32}, {13,33}, {5,18}, {16,32}, {1,23}, {13,43}, {6,24}, {13,44}, {11,30}, {15,35}, {13,23}, {15,37}, {13,25}, {10,42}, {15,20}, {9,20}, {1,28}, {14,41}, {3,27}, {14,37}, {4,28}, {6,23}, {16,38}, {8,37}, {13,36}, {5,42}, {16,22}, {9,22}, {7,31}, {13,30}, {5,41}, {2,17}, {12,27}, {14,17}, {8,32}, {3,19}, {5,31}, {5,44}, {11,39}, {6,26}, {12,40}, {12,30}, {3,23}, {10,32}, {5,36}, {1,25}, {7,29}, {6,41}, {1,37}, {14,20}, {16,34}, {14,25}, {7,28}, {6,42}, {11,26}, {13,26}, {15,18}, {4,40}, {10,35}, {13,19}, {8,34}, {5,33}, {9,18}, {3,24}, {11,37}, {2,29}, {10,27}, {8,38}, {1,26}, {2,22}, {10,36}, {9,17}, {10,18}, {15,33}, {16,20}, {11,40}, {9,36}, {16,42}, {6,34}, {14,43}, {15,38}, {5,26}, {8,18}, {3,42}, {4,18}, {16,39}, {11,19}, {4,25}, {4,20}, {8,20}, {12,24}, {7,27}, {14,35}, {1,41}, {7,24}, {3,31}, {9,24}, {6,39}, {7,33}, {6,37}, {13,34}, {6,20}, {13,39}, {5,21}, {2,30}, {7,37}, {5,35}, {9,31}, {1,34}, {7,19}, {9,21}, {11,42}, {16,28}, {9,23}, {7,21}, {14,27}, {12,18}, {12,21}, {14,29} }; // ETB44.28 (= ET44.31) // Bipartite(16,28) Valencies [14,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2688 EdgesBipt[44][28]:={ {11,17}, {2,44}, {3,33}, {16,41}, {10,24}, {5,17}, {2,24}, {9,28}, {13,32}, {2,33}, {4,27}, {11,35}, {13,40}, {4,24}, {14,19}, {3,22}, {3,40}, {10,37}, {4,30}, {11,25}, {16,27}, {8,30}, {14,39}, {8,43}, {12,22}, {8,42}, {8,28}, {15,31}, {4,29}, {12,38}, {7,44}, {1,40}, {10,26}, {9,44}, {4,31}, {2,19}, {12,41}, {15,44}, {10,33}, {1,19}, {12,42}, {5,20}, {3,37}, {13,35}, {2,26}, {7,34}, {1,21}, {16,25}, {15,43}, {8,25}, {12,34}, {5,32}, {14,28}, {8,27}, {12,37}, {16,29}, {10,22}, {15,25}, {3,18}, {6,29}, {3,17}, {4,38}, {3,34}, {2,25}, {14,23}, {11,38}, {11,33}, {6,31}, {1,38}, {2,34}, {14,33}, {1,17}, {2,36}, {5,22}, {4,22}, {9,29}, {7,20}, {14,21}, {9,26}, {12,20}, {15,40}, {1,44}, {4,41}, {8,41}, {9,19}, {2,37}, {14,30}, {9,41}, {5,25}, {7,25}, {11,31}, {15,27}, {6,43}, {5,23}, {10,29}, {4,21}, {9,34}, {15,42}, {10,21}, {9,42}, {6,18}, {13,18}, {16,37}, {12,43}, {7,30}, {3,39}, {13,31}, {3,32}, {11,21}, {7,26}, {6,33}, {2,32}, {5,18}, {16,32}, {1,23}, {13,43}, {11,29}, {7,17}, {11,30}, {13,23}, {12,25}, {8,35}, {10,42}, {3,27}, {14,37}, {4,43}, {16,38}, {8,37}, {5,28}, {13,36}, {15,36}, {8,26}, {9,22}, {7,31}, {5,41}, {9,40}, {8,21}, {1,42}, {1,24}, {12,23}, {5,31}, {11,24}, {13,24}, {8,40}, {12,19}, {12,30}, {3,23}, {1,39}, {5,36}, {6,19}, {16,44}, {6,28}, {9,30}, {10,39}, {13,27}, {1,35}, {1,37}, {14,20}, {15,21}, {16,34}, {16,17}, {6,42}, {13,26}, {7,23}, {16,36}, {6,36}, {3,30}, {10,17}, {2,29}, {16,35}, {10,27}, {2,22}, {14,44}, {10,36}, {15,22}, {11,32}, {9,17}, {10,18}, {14,32}, {15,33}, {16,20}, {13,41}, {6,38}, {2,40}, {11,40}, {6,34}, {14,43}, {15,38}, {5,26}, {8,18}, {15,28}, {9,39}, {11,19}, {3,38}, {4,20}, {3,28}, {12,24}, {7,27}, {14,35}, {15,23}, {1,41}, {7,24}, {10,20}, {6,39}, {7,33}, {13,34}, {5,19}, {6,20}, {7,35}, {13,39}, {5,21}, {9,31}, {2,43}, {6,35}, {4,39}, {16,28}, {7,42}, {4,44}, {8,29}, {4,32}, {12,18}, {11,18}, {1,36}, {14,26} }; // ETB44.29 (= ET44.32) // Bipartite(16,28) Valencies [14,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1712604574101012480000 EdgesBipt[44][29]:={ {10,25}, {1,20}, {5,17}, {11,20}, {9,28}, {13,32}, {2,33}, {11,36}, {4,27}, {13,21}, {11,35}, {13,40}, {15,24}, {16,26}, {4,26}, {3,40}, {10,37}, {4,30}, {16,27}, {8,30}, {6,17}, {8,43}, {12,22}, {8,42}, {16,31}, {15,31}, {1,32}, {3,43}, {12,38}, {7,44}, {1,40}, {10,26}, {9,44}, {4,19}, {14,38}, {16,19}, {12,39}, {4,31}, {15,44}, {10,33}, {12,42}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {16,18}, {12,35}, {7,36}, {15,43}, {2,41}, {12,34}, {5,32}, {16,23}, {4,23}, {8,31}, {8,27}, {13,29}, {2,42}, {10,22}, {6,22}, {11,28}, {16,43}, {10,30}, {6,29}, {16,30}, {4,38}, {6,21}, {2,25}, {5,40}, {2,34}, {14,33}, {1,17}, {4,22}, {10,38}, {9,29}, {8,19}, {7,20}, {9,32}, {14,21}, {15,32}, {15,40}, {1,44}, {5,29}, {2,38}, {2,37}, {14,30}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {10,41}, {7,43}, {11,31}, {11,44}, {15,27}, {3,44}, {6,30}, {10,29}, {3,20}, {15,19}, {10,21}, {6,18}, {12,43}, {1,29}, {3,39}, {3,32}, {4,35}, {9,25}, {6,33}, {13,33}, {11,23}, {13,44}, {15,35}, {5,24}, {9,37}, {8,22}, {14,42}, {13,25}, {8,35}, {10,42}, {13,28}, {15,20}, {9,20}, {1,28}, {14,41}, {3,27}, {14,37}, {4,43}, {1,33}, {16,38}, {5,28}, {13,36}, {15,36}, {8,26}, {12,26}, {16,22}, {7,31}, {5,41}, {2,17}, {12,27}, {9,40}, {14,17}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {11,24}, {13,24}, {5,44}, {11,39}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {14,34}, {5,36}, {1,25}, {6,41}, {1,37}, {16,34}, {14,25}, {7,28}, {6,42}, {7,23}, {2,21}, {8,34}, {5,33}, {10,17}, {3,24}, {2,29}, {11,27}, {16,35}, {8,38}, {2,22}, {4,34}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {13,41}, {6,38}, {11,40}, {9,33}, {9,36}, {16,42}, {6,34}, {8,18}, {4,18}, {15,28}, {16,39}, {11,19}, {3,28}, {7,27}, {15,23}, {1,41}, {13,37}, {7,24}, {3,31}, {15,39}, {9,24}, {6,37}, {12,31}, {7,35}, {11,43}, {5,21}, {2,30}, {13,17}, {13,20}, {2,18}, {5,37}, {7,19}, {9,21}, {3,36}, {4,39}, {7,40}, {12,18}, {1,36}, {14,29}, {14,26} }; // ETB44.30 (= ET44.33) // Bipartite(16,28) Valencies [14,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5637144576 EdgesBipt[44][30]:={ {3,33}, {5,17}, {1,20}, {2,33}, {12,29}, {11,35}, {5,34}, {14,19}, {15,24}, {16,26}, {3,40}, {10,37}, {8,30}, {16,40}, {6,17}, {14,39}, {2,23}, {12,32}, {7,38}, {8,42}, {8,28}, {4,29}, {1,27}, {10,23}, {7,41}, {1,40}, {10,26}, {14,38}, {7,22}, {12,39}, {2,19}, {10,33}, {12,42}, {3,35}, {5,20}, {9,43}, {3,37}, {2,26}, {14,31}, {11,41}, {1,21}, {16,18}, {12,35}, {7,36}, {15,43}, {2,28}, {12,34}, {9,35}, {14,28}, {8,44}, {4,23}, {12,37}, {2,42}, {10,22}, {15,25}, {3,18}, {16,30}, {15,29}, {6,21}, {11,33}, {6,31}, {1,38}, {14,33}, {1,17}, {2,36}, {5,22}, {9,29}, {14,21}, {15,32}, {16,24}, {9,26}, {9,27}, {12,20}, {2,37}, {14,30}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {1,31}, {7,43}, {10,28}, {7,25}, {14,24}, {11,44}, {15,27}, {3,44}, {6,30}, {5,23}, {10,29}, {4,21}, {10,31}, {9,34}, {13,22}, {15,19}, {10,40}, {12,43}, {1,29}, {13,31}, {3,32}, {11,21}, {4,35}, {15,41}, {8,36}, {6,33}, {16,32}, {11,23}, {6,24}, {13,44}, {5,30}, {6,44}, {11,30}, {13,23}, {12,28}, {12,25}, {8,22}, {14,42}, {13,25}, {10,42}, {9,20}, {3,27}, {4,28}, {4,43}, {1,43}, {3,26}, {16,38}, {13,36}, {15,36}, {8,26}, {16,22}, {13,30}, {10,43}, {2,17}, {5,41}, {9,40}, {14,17}, {8,32}, {3,19}, {1,24}, {12,23}, {5,31}, {5,44}, {8,40}, {3,23}, {5,36}, {3,21}, {6,19}, {16,44}, {7,29}, {6,28}, {13,27}, {1,35}, {16,34}, {5,39}, {14,25}, {4,37}, {6,42}, {11,26}, {15,18}, {16,36}, {3,30}, {8,34}, {10,17}, {11,37}, {2,29}, {11,27}, {8,38}, {1,26}, {2,22}, {4,34}, {14,44}, {10,36}, {15,22}, {11,32}, {9,17}, {15,33}, {16,20}, {8,24}, {6,25}, {13,41}, {6,38}, {2,40}, {2,31}, {11,40}, {16,42}, {5,27}, {15,38}, {8,18}, {4,18}, {9,38}, {11,19}, {10,19}, {4,25}, {4,20}, {8,20}, {7,27}, {14,35}, {1,41}, {13,37}, {3,41}, {7,24}, {15,39}, {9,24}, {6,39}, {7,33}, {13,34}, {13,39}, {13,17}, {13,20}, {9,31}, {1,34}, {5,37}, {7,19}, {2,43}, {6,35}, {9,21}, {4,39}, {16,28}, {4,32}, {12,18}, {11,18}, {12,21}, {7,18} }; // ETB44.31 (= ET44.34) // Bipartite(16,28) Valencies [14,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 86016 EdgesBipt[44][31]:={ {2,44}, {16,41}, {10,25}, {1,20}, {13,32}, {2,33}, {11,36}, {4,27}, {12,29}, {11,35}, {5,34}, {13,40}, {4,24}, {16,26}, {16,33}, {3,22}, {3,40}, {4,30}, {8,30}, {6,17}, {14,39}, {8,43}, {5,38}, {12,32}, {7,38}, {8,42}, {8,28}, {15,31}, {4,29}, {8,33}, {1,27}, {7,44}, {1,40}, {10,26}, {9,44}, {4,19}, {16,19}, {12,39}, {15,44}, {10,33}, {3,35}, {5,20}, {9,43}, {13,35}, {2,26}, {14,31}, {11,41}, {1,21}, {16,18}, {7,36}, {15,43}, {10,44}, {2,28}, {12,34}, {1,30}, {5,32}, {4,23}, {12,37}, {2,42}, {6,22}, {15,25}, {11,28}, {16,43}, {10,30}, {6,29}, {16,30}, {6,21}, {3,34}, {5,40}, {2,25}, {14,23}, {11,38}, {6,31}, {14,33}, {1,17}, {10,38}, {8,19}, {1,18}, {7,20}, {14,21}, {12,17}, {15,32}, {9,27}, {1,44}, {8,41}, {2,38}, {5,43}, {12,44}, {5,25}, {2,39}, {7,32}, {15,26}, {1,31}, {11,22}, {7,43}, {10,28}, {7,25}, {14,24}, {1,22}, {15,27}, {10,29}, {10,31}, {9,34}, {15,42}, {10,21}, {13,18}, {16,37}, {10,40}, {8,17}, {11,21}, {8,36}, {6,33}, {7,26}, {13,33}, {5,18}, {16,32}, {11,23}, {13,43}, {11,29}, {6,24}, {15,35}, {5,24}, {12,28}, {12,25}, {15,37}, {8,22}, {13,25}, {10,42}, {15,20}, {9,20}, {14,41}, {3,27}, {14,37}, {4,28}, {3,29}, {6,23}, {1,43}, {8,37}, {15,36}, {8,26}, {16,22}, {9,22}, {7,31}, {5,41}, {12,27}, {9,40}, {14,17}, {8,32}, {3,19}, {1,24}, {12,23}, {14,22}, {13,24}, {12,19}, {6,26}, {12,30}, {3,23}, {3,21}, {6,41}, {9,30}, {10,39}, {14,20}, {5,39}, {16,17}, {4,37}, {7,23}, {13,19}, {16,36}, {2,21}, {5,33}, {9,18}, {2,29}, {11,27}, {4,34}, {9,17}, {10,18}, {13,41}, {2,40}, {2,31}, {11,40}, {9,36}, {16,42}, {15,38}, {8,18}, {3,42}, {13,38}, {11,19}, {4,25}, {3,38}, {12,24}, {3,28}, {7,27}, {14,35}, {15,23}, {3,41}, {9,24}, {6,39}, {6,37}, {11,34}, {13,34}, {5,19}, {6,20}, {7,35}, {13,39}, {2,30}, {7,37}, {13,20}, {5,35}, {2,18}, {9,31}, {1,34}, {4,17}, {6,35}, {11,42}, {3,36}, {9,21}, {4,39}, {16,28}, {7,42}, {4,44}, {4,32}, {1,36}, {14,29}, {14,26} }; // ETB44.32 (= ET44.35) // Bipartite(16,28) Valencies [14,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 44040192 EdgesBipt[44][32]:={ {16,41}, {10,25}, {2,24}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {12,29}, {11,35}, {4,24}, {15,24}, {16,33}, {4,26}, {3,22}, {3,40}, {11,25}, {16,27}, {8,30}, {2,23}, {8,43}, {5,38}, {12,32}, {16,31}, {1,27}, {3,25}, {10,26}, {14,38}, {16,19}, {7,22}, {2,19}, {15,44}, {1,19}, {3,35}, {9,43}, {3,37}, {8,39}, {7,34}, {1,21}, {16,18}, {12,35}, {7,36}, {15,43}, {10,44}, {8,25}, {12,34}, {14,28}, {8,44}, {4,23}, {8,27}, {13,29}, {10,22}, {10,30}, {6,29}, {3,17}, {16,30}, {4,38}, {15,29}, {3,34}, {11,38}, {11,33}, {6,40}, {2,34}, {1,17}, {5,22}, {4,22}, {9,29}, {7,20}, {9,32}, {14,36}, {12,17}, {15,32}, {9,26}, {9,27}, {12,20}, {4,41}, {8,41}, {2,38}, {2,37}, {12,44}, {14,30}, {14,40}, {9,41}, {5,25}, {7,32}, {1,31}, {10,41}, {11,22}, {10,28}, {14,24}, {2,35}, {11,44}, {15,27}, {6,43}, {5,23}, {4,21}, {10,31}, {3,20}, {15,19}, {15,42}, {9,42}, {2,20}, {10,40}, {12,43}, {1,29}, {3,39}, {13,31}, {11,21}, {4,35}, {15,41}, {2,32}, {13,33}, {16,32}, {1,23}, {13,43}, {6,24}, {13,44}, {7,17}, {11,30}, {5,24}, {9,37}, {14,42}, {13,25}, {8,35}, {10,42}, {13,28}, {1,33}, {6,23}, {1,43}, {3,26}, {5,28}, {8,26}, {5,42}, {12,26}, {16,22}, {7,31}, {13,30}, {5,41}, {4,36}, {9,40}, {8,21}, {14,18}, {14,22}, {11,24}, {11,39}, {6,26}, {8,40}, {12,40}, {12,30}, {3,23}, {14,34}, {1,39}, {5,36}, {3,21}, {1,25}, {16,44}, {6,28}, {10,39}, {1,35}, {13,42}, {1,37}, {14,20}, {5,39}, {16,17}, {16,21}, {7,28}, {4,37}, {6,42}, {15,18}, {4,40}, {7,23}, {13,19}, {16,36}, {2,21}, {5,33}, {9,18}, {10,17}, {2,29}, {16,35}, {10,27}, {8,38}, {14,44}, {10,36}, {9,17}, {14,32}, {15,33}, {8,24}, {6,25}, {6,38}, {6,34}, {5,27}, {15,38}, {4,18}, {15,28}, {11,19}, {1,41}, {3,31}, {6,39}, {7,33}, {6,37}, {12,31}, {11,34}, {13,34}, {5,19}, {6,20}, {13,39}, {13,17}, {15,30}, {7,37}, {13,20}, {2,18}, {9,31}, {5,37}, {7,19}, {2,43}, {3,36}, {7,42}, {9,23}, {8,29}, {4,32}, {12,18}, {12,21}, {14,26}, {7,18} }; // ETB44.33 (= ET44.36) // Bipartite(11,33) Valencies [15,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 239446056960 EdgesBipt[44][33]:={ {11,17}, {3,33}, {10,25}, {1,20}, {2,24}, {10,24}, {11,20}, {9,28}, {6,16}, {11,35}, {8,12}, {4,26}, {3,22}, {3,40}, {10,37}, {4,30}, {8,30}, {8,43}, {4,29}, {8,33}, {1,27}, {3,25}, {10,26}, {2,15}, {4,19}, {2,27}, {10,33}, {5,20}, {9,43}, {2,26}, {7,34}, {7,36}, {10,44}, {11,12}, {2,28}, {5,32}, {8,44}, {4,23}, {8,27}, {10,15}, {10,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {7,12}, {5,40}, {6,40}, {6,31}, {11,33}, {1,38}, {5,22}, {8,19}, {3,14}, {9,32}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {2,37}, {5,43}, {9,41}, {2,39}, {7,32}, {11,13}, {1,31}, {10,41}, {11,22}, {7,13}, {9,14}, {7,43}, {7,25}, {11,31}, {2,35}, {11,44}, {3,44}, {6,30}, {9,42}, {2,13}, {6,18}, {2,16}, {3,39}, {9,25}, {2,32}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {8,22}, {9,20}, {4,15}, {7,14}, {3,27}, {4,28}, {10,13}, {3,29}, {5,42}, {2,17}, {8,32}, {8,21}, {1,42}, {5,31}, {6,27}, {11,24}, {5,44}, {11,39}, {8,23}, {1,25}, {6,19}, {7,29}, {6,41}, {1,15}, {9,30}, {1,37}, {3,16}, {4,37}, {6,42}, {4,40}, {10,35}, {7,23}, {2,21}, {8,34}, {5,33}, {8,38}, {1,26}, {4,34}, {1,16}, {10,36}, {9,17}, {6,38}, {9,36}, {5,26}, {4,18}, {9,39}, {10,19}, {3,38}, {4,12}, {3,28}, {7,24}, {1,14}, {5,15}, {10,14}, {11,34}, {6,20}, {7,35}, {5,21}, {6,13}, {9,31}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {9,21}, {3,36}, {11,42}, {4,39}, {7,40}, {7,21}, {1,36}, {7,18} }; // ETB44.34 (= ET44.37) // Bipartite(12,32) Valencies [16,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 23040 EdgesBipt[44][34]:={ {2,44}, {11,17}, {3,33}, {10,25}, {1,20}, {2,24}, {11,20}, {9,28}, {4,27}, {12,29}, {7,15}, {5,34}, {3,22}, {3,40}, {4,16}, {10,37}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {5,38}, {12,32}, {4,29}, {3,13}, {3,25}, {7,41}, {7,44}, {2,15}, {4,19}, {9,44}, {7,22}, {12,39}, {4,31}, {2,19}, {12,41}, {2,27}, {10,33}, {12,42}, {3,35}, {5,20}, {9,43}, {2,26}, {8,39}, {7,34}, {11,14}, {8,25}, {10,44}, {12,34}, {2,14}, {1,30}, {5,32}, {9,35}, {4,23}, {8,31}, {8,27}, {12,37}, {10,30}, {6,29}, {3,17}, {6,21}, {3,34}, {5,40}, {6,40}, {1,38}, {1,17}, {2,36}, {4,22}, {10,38}, {1,18}, {1,44}, {4,41}, {8,41}, {2,38}, {9,19}, {2,37}, {4,42}, {5,25}, {2,39}, {7,32}, {11,13}, {11,15}, {1,31}, {10,41}, {11,22}, {7,13}, {9,14}, {7,43}, {7,25}, {10,28}, {1,22}, {6,30}, {12,16}, {3,20}, {10,31}, {9,42}, {6,18}, {10,40}, {12,43}, {11,21}, {4,35}, {7,16}, {7,26}, {2,32}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {5,24}, {9,37}, {8,22}, {10,42}, {5,14}, {4,15}, {1,28}, {7,14}, {4,43}, {3,29}, {6,23}, {5,28}, {8,26}, {7,31}, {12,33}, {4,36}, {10,43}, {9,13}, {12,27}, {8,32}, {11,24}, {5,44}, {8,40}, {12,19}, {12,40}, {8,23}, {10,32}, {12,14}, {3,21}, {1,25}, {6,19}, {1,15}, {6,28}, {10,39}, {1,35}, {3,16}, {6,42}, {11,26}, {10,35}, {11,16}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {11,27}, {8,38}, {1,26}, {10,36}, {9,17}, {8,24}, {6,38}, {2,31}, {9,33}, {9,36}, {5,26}, {3,42}, {11,19}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {3,41}, {6,39}, {7,33}, {6,37}, {11,34}, {6,20}, {7,35}, {5,21}, {9,15}, {2,18}, {5,37}, {2,43}, {4,17}, {9,21}, {9,16}, {4,39}, {8,29}, {11,18}, {1,36}, {12,21} }; // ETB44.35 (= ET44.38) // Bipartite(12,32) Valencies [16,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 27401673185616199680000 EdgesBipt[44][35]:={ {10,25}, {1,20}, {5,17}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {7,15}, {11,35}, {4,26}, {3,40}, {10,37}, {4,30}, {8,30}, {6,17}, {8,43}, {1,13}, {12,22}, {8,42}, {1,32}, {3,43}, {3,15}, {12,38}, {7,44}, {1,40}, {10,26}, {9,44}, {4,19}, {12,39}, {4,31}, {10,33}, {12,42}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {12,35}, {7,36}, {2,41}, {12,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,31}, {8,27}, {2,42}, {10,22}, {6,22}, {11,28}, {10,30}, {6,29}, {4,38}, {6,21}, {2,25}, {5,40}, {2,34}, {1,17}, {4,22}, {8,19}, {9,29}, {10,38}, {7,20}, {9,32}, {1,44}, {5,29}, {2,38}, {2,37}, {8,14}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {11,15}, {10,41}, {7,43}, {11,31}, {11,44}, {3,44}, {6,30}, {10,29}, {3,20}, {10,21}, {2,13}, {6,18}, {12,43}, {1,29}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {6,33}, {11,23}, {5,24}, {9,37}, {8,22}, {8,35}, {10,42}, {9,20}, {4,15}, {1,28}, {3,27}, {4,43}, {1,33}, {10,13}, {5,28}, {8,26}, {12,26}, {7,31}, {5,41}, {2,17}, {9,13}, {12,27}, {9,40}, {3,19}, {1,24}, {12,23}, {11,24}, {5,44}, {11,39}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {5,36}, {1,25}, {6,41}, {12,15}, {6,14}, {1,37}, {7,28}, {3,16}, {6,42}, {7,23}, {11,16}, {2,21}, {8,34}, {5,33}, {10,17}, {3,24}, {2,29}, {11,27}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {6,38}, {11,40}, {9,33}, {9,36}, {6,34}, {8,18}, {4,18}, {11,19}, {5,13}, {3,28}, {7,27}, {1,41}, {7,24}, {3,31}, {9,24}, {6,37}, {12,31}, {10,14}, {7,35}, {11,43}, {5,21}, {2,30}, {6,13}, {2,18}, {5,37}, {7,19}, {9,21}, {9,16}, {3,36}, {4,39}, {7,40}, {12,18}, {1,36}, {5,16} }; // ETB44.36 (= ET44.39) // Bipartite(12,32) Valencies [16,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4059507138609807360000 EdgesBipt[44][36]:={ {3,33}, {10,24}, {11,20}, {6,32}, {6,16}, {11,36}, {12,29}, {11,35}, {4,24}, {4,26}, {4,16}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,43}, {12,32}, {7,38}, {8,42}, {3,13}, {3,43}, {3,25}, {3,15}, {7,41}, {10,26}, {2,15}, {7,22}, {2,19}, {12,41}, {2,27}, {3,35}, {5,20}, {9,43}, {3,37}, {2,26}, {8,39}, {7,34}, {1,21}, {10,44}, {2,14}, {1,30}, {5,32}, {8,15}, {9,35}, {8,31}, {8,27}, {12,37}, {2,42}, {10,22}, {11,28}, {10,30}, {6,29}, {3,17}, {4,38}, {6,21}, {5,40}, {6,40}, {1,38}, {2,34}, {1,17}, {4,22}, {8,19}, {9,29}, {10,38}, {1,18}, {12,17}, {9,27}, {12,20}, {12,36}, {2,38}, {9,19}, {5,43}, {12,44}, {8,14}, {4,42}, {9,41}, {2,39}, {11,15}, {7,13}, {7,25}, {10,28}, {11,31}, {2,35}, {11,44}, {1,22}, {12,13}, {12,16}, {5,23}, {10,40}, {1,29}, {7,30}, {3,39}, {9,25}, {7,26}, {6,33}, {11,23}, {6,24}, {6,44}, {7,17}, {5,24}, {9,37}, {12,28}, {12,25}, {8,22}, {8,35}, {10,42}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {5,28}, {8,26}, {12,33}, {4,36}, {9,13}, {1,42}, {3,19}, {5,31}, {11,24}, {5,44}, {11,39}, {12,40}, {3,23}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {7,29}, {6,41}, {6,28}, {1,37}, {5,39}, {4,40}, {11,16}, {6,36}, {8,34}, {11,27}, {8,38}, {1,26}, {2,22}, {4,34}, {10,36}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {2,31}, {11,40}, {9,33}, {5,27}, {8,18}, {4,18}, {9,39}, {11,19}, {4,20}, {12,24}, {1,41}, {3,41}, {3,31}, {1,14}, {10,20}, {5,15}, {7,33}, {6,37}, {10,14}, {5,19}, {6,20}, {11,43}, {9,15}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {9,31}, {1,34}, {2,43}, {9,21}, {7,42}, {9,23}, {4,44}, {7,21}, {4,32}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB44.37 (= ET44.40) // Bipartite(12,32) Valencies [16,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338151365148672 EdgesBipt[44][37]:={ {2,44}, {11,17}, {3,33}, {2,24}, {5,17}, {10,25}, {6,32}, {6,16}, {4,27}, {7,15}, {11,35}, {4,26}, {11,25}, {2,23}, {1,13}, {5,38}, {12,22}, {12,32}, {7,38}, {8,42}, {8,28}, {1,32}, {3,13}, {3,25}, {3,15}, {12,38}, {1,40}, {10,26}, {2,15}, {4,19}, {7,22}, {10,33}, {3,37}, {2,26}, {8,39}, {1,21}, {11,41}, {11,14}, {12,35}, {10,44}, {2,28}, {1,30}, {8,15}, {8,44}, {8,31}, {2,42}, {6,22}, {3,18}, {3,17}, {8,16}, {3,34}, {11,38}, {6,40}, {11,33}, {1,38}, {2,34}, {2,36}, {5,22}, {9,29}, {9,26}, {12,20}, {12,36}, {5,29}, {4,41}, {5,43}, {12,44}, {7,39}, {4,42}, {9,41}, {5,25}, {2,39}, {7,32}, {11,13}, {1,31}, {10,41}, {11,22}, {7,13}, {10,28}, {1,22}, {6,30}, {6,43}, {4,33}, {12,16}, {9,34}, {9,42}, {2,20}, {12,43}, {1,29}, {7,30}, {2,16}, {3,39}, {11,21}, {4,35}, {9,25}, {7,16}, {8,36}, {2,32}, {1,23}, {6,24}, {11,29}, {5,30}, {6,44}, {11,30}, {9,37}, {12,28}, {10,42}, {5,14}, {7,14}, {4,28}, {4,43}, {3,29}, {3,26}, {8,26}, {7,31}, {5,41}, {4,36}, {10,43}, {9,13}, {12,27}, {8,32}, {1,24}, {6,27}, {8,40}, {12,19}, {12,40}, {12,30}, {3,23}, {8,23}, {1,39}, {12,14}, {3,21}, {6,19}, {7,29}, {1,15}, {6,28}, {6,14}, {1,37}, {10,35}, {7,23}, {6,36}, {8,34}, {5,33}, {9,18}, {10,17}, {11,37}, {11,27}, {10,27}, {4,34}, {1,16}, {10,36}, {10,34}, {9,17}, {10,18}, {8,24}, {6,38}, {2,40}, {2,31}, {9,33}, {5,27}, {8,18}, {3,42}, {4,18}, {9,39}, {11,19}, {4,25}, {10,19}, {4,20}, {5,13}, {8,20}, {12,24}, {3,41}, {7,24}, {3,31}, {1,14}, {10,20}, {5,19}, {6,20}, {11,43}, {5,21}, {9,15}, {7,37}, {5,35}, {2,18}, {9,31}, {5,37}, {4,17}, {6,35}, {9,21}, {7,40}, {4,44}, {9,23}, {7,21} }; // ETB44.38 (= ET44.41) // Bipartite(12,32) Valencies [16,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21134460321792 EdgesBipt[44][38]:={ {2,44}, {11,17}, {3,33}, {2,24}, {10,24}, {10,25}, {9,28}, {4,27}, {7,15}, {11,35}, {5,34}, {4,24}, {3,22}, {3,40}, {4,16}, {10,37}, {4,30}, {11,25}, {8,30}, {6,17}, {2,23}, {1,13}, {8,43}, {12,22}, {12,32}, {8,42}, {4,29}, {3,25}, {3,15}, {12,38}, {2,15}, {4,19}, {9,44}, {2,19}, {2,27}, {10,33}, {12,42}, {5,20}, {9,43}, {8,39}, {7,34}, {1,21}, {11,41}, {10,44}, {2,28}, {12,34}, {1,30}, {8,15}, {9,35}, {8,31}, {8,27}, {3,17}, {4,38}, {6,31}, {11,33}, {1,38}, {1,17}, {2,36}, {4,22}, {8,19}, {1,18}, {3,14}, {9,27}, {12,20}, {12,36}, {5,29}, {9,19}, {5,43}, {12,44}, {8,14}, {7,39}, {9,41}, {2,39}, {7,32}, {11,13}, {11,15}, {10,41}, {7,13}, {9,14}, {10,28}, {11,31}, {2,35}, {1,22}, {12,16}, {4,21}, {10,29}, {10,21}, {2,20}, {6,18}, {10,40}, {1,29}, {2,16}, {3,39}, {3,32}, {11,21}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {11,23}, {11,29}, {6,44}, {12,28}, {8,22}, {8,35}, {9,20}, {4,13}, {4,43}, {1,33}, {10,13}, {6,23}, {5,28}, {8,26}, {5,42}, {12,26}, {9,22}, {7,31}, {6,15}, {1,42}, {5,44}, {11,39}, {6,26}, {12,40}, {12,30}, {3,23}, {8,23}, {10,32}, {12,14}, {5,36}, {1,25}, {7,29}, {6,41}, {6,28}, {9,30}, {1,37}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {3,30}, {8,34}, {10,17}, {3,24}, {11,37}, {11,27}, {8,38}, {1,26}, {10,36}, {4,14}, {9,17}, {6,25}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {8,18}, {9,38}, {11,19}, {3,38}, {5,13}, {12,24}, {1,41}, {3,41}, {7,24}, {3,31}, {1,14}, {10,20}, {6,39}, {5,19}, {6,20}, {11,43}, {5,21}, {7,37}, {5,35}, {1,34}, {5,37}, {2,43}, {7,40}, {7,42}, {7,21}, {4,32}, {12,18}, {7,18}, {10,16} }; // ETB44.39 (= ET44.42) // Bipartite(12,32) Valencies [16,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 50331648 EdgesBipt[44][39]:={ {2,44}, {10,25}, {1,20}, {5,17}, {10,24}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {5,34}, {4,26}, {4,16}, {1,13}, {5,38}, {8,42}, {8,28}, {4,29}, {8,33}, {1,27}, {3,25}, {3,15}, {10,23}, {7,41}, {1,40}, {2,15}, {9,44}, {2,19}, {12,41}, {10,33}, {1,19}, {12,42}, {3,37}, {2,26}, {7,34}, {12,35}, {7,36}, {8,25}, {10,44}, {2,28}, {12,34}, {8,44}, {12,37}, {10,15}, {2,42}, {6,22}, {11,28}, {10,30}, {8,16}, {4,38}, {6,21}, {5,40}, {11,38}, {6,31}, {5,22}, {4,22}, {3,14}, {7,20}, {9,32}, {12,17}, {5,29}, {8,41}, {2,38}, {2,37}, {5,43}, {7,39}, {4,42}, {7,32}, {11,13}, {11,15}, {1,31}, {10,41}, {11,22}, {9,14}, {7,43}, {10,28}, {7,25}, {11,31}, {2,35}, {11,44}, {3,44}, {6,30}, {6,43}, {5,23}, {4,21}, {10,31}, {3,20}, {9,34}, {2,13}, {10,40}, {12,43}, {1,29}, {7,30}, {8,17}, {3,32}, {7,16}, {5,18}, {11,23}, {11,29}, {5,24}, {9,37}, {12,25}, {8,13}, {4,13}, {7,14}, {4,43}, {6,23}, {1,43}, {3,26}, {8,26}, {12,26}, {9,22}, {12,33}, {6,15}, {2,17}, {4,36}, {12,27}, {8,32}, {1,42}, {1,24}, {6,27}, {11,24}, {11,39}, {8,40}, {12,19}, {12,30}, {12,14}, {3,21}, {1,25}, {6,19}, {1,15}, {6,14}, {9,30}, {10,39}, {1,35}, {5,39}, {3,16}, {4,37}, {10,35}, {7,23}, {11,16}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {2,29}, {1,26}, {2,22}, {4,34}, {11,32}, {9,17}, {8,24}, {6,38}, {2,31}, {11,40}, {9,33}, {5,27}, {8,18}, {3,42}, {4,18}, {9,39}, {9,38}, {10,19}, {4,20}, {5,13}, {3,28}, {7,27}, {1,41}, {3,41}, {7,24}, {3,31}, {6,39}, {6,37}, {10,14}, {5,19}, {6,20}, {5,35}, {6,35}, {9,21}, {9,16}, {3,36}, {7,40}, {9,23}, {8,29}, {4,32}, {12,18}, {1,36}, {12,21}, {7,18} }; // ETB44.40 (= ET44.43) // Bipartite(12,32) Valencies [16,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[44][40]:={ {11,17}, {5,17}, {10,24}, {10,25}, {11,20}, {2,33}, {11,36}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,40}, {4,16}, {4,30}, {6,17}, {2,23}, {1,13}, {8,43}, {12,22}, {7,38}, {8,42}, {8,28}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {12,38}, {7,22}, {12,39}, {12,41}, {1,19}, {2,27}, {3,35}, {2,26}, {8,39}, {7,34}, {11,14}, {8,25}, {10,44}, {8,15}, {9,35}, {8,44}, {8,31}, {8,27}, {12,37}, {2,42}, {10,22}, {8,16}, {4,38}, {6,21}, {6,40}, {11,33}, {2,34}, {1,17}, {2,36}, {4,22}, {9,29}, {10,38}, {1,18}, {3,14}, {12,20}, {12,36}, {1,44}, {5,29}, {8,41}, {2,38}, {9,19}, {2,37}, {7,39}, {4,42}, {5,25}, {2,39}, {7,32}, {11,13}, {11,15}, {10,41}, {7,13}, {9,14}, {7,43}, {10,28}, {11,31}, {3,44}, {5,23}, {9,34}, {2,20}, {10,40}, {1,29}, {7,30}, {3,32}, {11,21}, {7,16}, {6,33}, {5,18}, {6,24}, {11,29}, {6,44}, {11,30}, {12,25}, {9,20}, {1,28}, {7,14}, {4,28}, {1,33}, {4,43}, {3,29}, {1,43}, {8,37}, {8,26}, {9,22}, {7,31}, {5,41}, {4,36}, {2,17}, {10,43}, {9,13}, {9,40}, {8,32}, {8,21}, {1,42}, {3,19}, {12,23}, {5,31}, {6,26}, {12,40}, {12,30}, {8,23}, {12,14}, {6,19}, {7,29}, {6,41}, {6,28}, {12,15}, {9,30}, {10,39}, {1,35}, {5,39}, {3,16}, {6,42}, {11,26}, {4,40}, {10,35}, {7,23}, {11,16}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {11,37}, {10,27}, {1,26}, {2,22}, {1,16}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {9,33}, {9,36}, {9,38}, {10,19}, {4,20}, {5,13}, {3,28}, {12,24}, {7,27}, {3,41}, {3,31}, {9,24}, {5,15}, {6,37}, {12,31}, {5,19}, {6,20}, {5,21}, {5,35}, {2,18}, {1,34}, {5,37}, {2,43}, {6,35}, {11,42}, {4,44}, {4,32}, {12,21}, {7,18} }; // ETB44.41 (= ET44.44) // Bipartite(12,32) Valencies [16,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[44][41]:={ {2,44}, {11,17}, {5,17}, {1,20}, {10,25}, {2,33}, {5,34}, {4,24}, {4,26}, {3,40}, {4,16}, {8,30}, {8,43}, {1,13}, {5,38}, {12,22}, {8,42}, {8,28}, {1,32}, {3,13}, {1,27}, {3,25}, {3,15}, {10,23}, {12,38}, {7,41}, {7,44}, {1,40}, {4,19}, {12,39}, {12,41}, {2,27}, {12,42}, {3,35}, {7,34}, {1,21}, {11,14}, {12,35}, {8,25}, {2,28}, {2,14}, {8,15}, {9,35}, {8,44}, {8,31}, {8,27}, {10,22}, {6,22}, {3,18}, {11,28}, {8,16}, {3,34}, {6,40}, {6,31}, {11,33}, {2,36}, {5,22}, {9,29}, {10,38}, {1,18}, {12,17}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {2,37}, {5,43}, {12,44}, {8,14}, {7,39}, {4,42}, {7,32}, {11,13}, {11,15}, {1,31}, {10,41}, {7,13}, {7,25}, {11,31}, {11,44}, {6,30}, {6,43}, {5,23}, {4,21}, {2,20}, {1,29}, {2,16}, {3,39}, {11,21}, {4,35}, {7,16}, {2,32}, {5,18}, {6,24}, {11,29}, {5,30}, {7,17}, {11,30}, {9,37}, {12,28}, {12,25}, {5,14}, {9,20}, {4,28}, {3,29}, {1,43}, {3,26}, {8,26}, {12,26}, {9,22}, {12,33}, {6,15}, {2,17}, {4,36}, {10,43}, {9,13}, {9,40}, {8,32}, {3,19}, {1,24}, {12,23}, {5,31}, {6,27}, {11,24}, {6,26}, {12,19}, {12,30}, {3,23}, {10,32}, {12,14}, {6,19}, {7,29}, {1,15}, {6,14}, {10,39}, {1,37}, {5,39}, {7,28}, {4,37}, {6,42}, {11,26}, {4,40}, {10,35}, {7,23}, {6,36}, {2,21}, {8,34}, {5,33}, {3,24}, {11,37}, {10,27}, {2,22}, {1,16}, {10,36}, {10,34}, {9,17}, {10,18}, {6,38}, {11,40}, {9,33}, {9,36}, {5,27}, {8,18}, {3,42}, {9,39}, {9,38}, {4,25}, {10,19}, {4,20}, {5,13}, {3,41}, {3,31}, {9,24}, {10,20}, {5,15}, {7,33}, {6,20}, {2,30}, {7,37}, {1,34}, {2,43}, {6,35}, {9,21}, {11,42}, {4,44}, {9,23}, {7,21}, {4,32}, {1,36}, {7,18}, {10,16} }; // ETB44.42 (= ET44.45) // Bipartite(8,36) Valencies [18,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[44][42]:={ {1,15}, {4,35}, {7,43}, {7,19}, {6,39}, {7,39}, {6,12}, {5,14}, {8,39}, {8,24}, {4,42}, {6,10}, {3,29}, {2,22}, {6,14}, {5,42}, {3,38}, {1,31}, {4,27}, {2,11}, {8,36}, {5,35}, {6,41}, {6,23}, {1,40}, {2,20}, {4,40}, {5,34}, {7,38}, {5,24}, {3,32}, {1,38}, {1,9}, {2,33}, {6,32}, {7,31}, {7,27}, {4,44}, {6,40}, {8,42}, {7,15}, {8,34}, {3,10}, {3,31}, {2,19}, {2,15}, {6,9}, {4,26}, {5,9}, {6,22}, {2,29}, {3,19}, {5,37}, {3,18}, {8,44}, {3,41}, {7,28}, {1,34}, {3,11}, {6,11}, {2,23}, {7,26}, {8,28}, {1,17}, {2,16}, {6,33}, {6,21}, {2,36}, {4,33}, {2,17}, {8,10}, {8,18}, {8,21}, {7,29}, {3,14}, {2,13}, {1,12}, {3,22}, {5,43}, {7,20}, {8,26}, {7,13}, {5,29}, {2,42}, {3,27}, {6,15}, {4,36}, {7,30}, {4,17}, {5,28}, {4,25}, {2,9}, {1,35}, {1,26}, {2,44}, {8,40}, {6,31}, {5,38}, {2,43}, {3,35}, {1,23}, {6,30}, {7,18}, {2,39}, {8,43}, {5,20}, {8,32}, {3,28}, {3,24}, {5,17}, {8,16}, {6,16}, {3,21}, {1,14}, {1,41}, {4,32}, {1,37}, {1,20}, {1,27}, {5,11}, {7,22}, {1,13}, {4,18}, {5,10}, {3,25}, {7,37}, {7,21}, {5,12}, {2,25}, {8,37}, {8,30}, {6,44}, {4,34}, {4,41}, {3,33}, {7,36}, {4,23}, {1,30}, {5,16}, {4,13}, {5,25}, {4,19}, {4,24}, {8,12} }; // ETB44.43 (= ET44.46) // Bipartite(8,36) Valencies [18,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2219535528034912174080000 EdgesBipt[44][43]:={ {4,35}, {7,43}, {7,19}, {5,32}, {7,39}, {3,15}, {8,39}, {8,31}, {2,38}, {4,42}, {6,10}, {6,18}, {4,14}, {2,22}, {6,14}, {4,27}, {6,17}, {7,40}, {6,41}, {7,24}, {1,40}, {1,25}, {6,13}, {2,37}, {5,24}, {3,32}, {1,9}, {5,41}, {2,33}, {6,25}, {7,31}, {7,27}, {1,44}, {1,32}, {8,42}, {7,15}, {7,23}, {5,13}, {8,34}, {3,31}, {6,34}, {2,18}, {6,9}, {4,26}, {8,14}, {5,9}, {6,22}, {7,11}, {5,21}, {2,29}, {3,19}, {1,29}, {5,37}, {8,22}, {7,28}, {8,15}, {2,14}, {3,11}, {5,33}, {2,10}, {2,41}, {4,39}, {1,36}, {1,17}, {6,33}, {3,40}, {1,16}, {6,21}, {2,17}, {8,10}, {8,18}, {2,13}, {1,12}, {4,43}, {7,20}, {8,35}, {8,26}, {3,23}, {6,37}, {5,29}, {4,31}, {2,42}, {3,27}, {2,34}, {4,30}, {6,26}, {8,11}, {5,28}, {4,15}, {2,9}, {8,19}, {6,29}, {7,35}, {4,38}, {4,11}, {3,35}, {2,21}, {6,30}, {8,27}, {6,38}, {7,44}, {8,38}, {8,43}, {5,20}, {4,22}, {3,28}, {5,36}, {3,24}, {5,17}, {3,12}, {8,23}, {7,16}, {1,41}, {3,44}, {6,42}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {4,18}, {7,32}, {2,26}, {3,20}, {1,33}, {5,12}, {2,25}, {1,28}, {3,36}, {8,30}, {3,43}, {4,34}, {5,44}, {7,36}, {4,23}, {5,16}, {7,12}, {2,30}, {1,21}, {5,25}, {4,19}, {4,10}, {5,40}, {1,24} }; // ETB44.44 (= ET44.47) // Bipartite(8,36) Valencies [18,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 53496602689536000000 EdgesBipt[44][44]:={ {1,15}, {7,43}, {7,19}, {5,32}, {6,39}, {6,12}, {5,14}, {8,24}, {8,31}, {4,42}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {2,22}, {6,36}, {7,40}, {8,36}, {5,35}, {1,38}, {5,41}, {1,9}, {2,33}, {7,31}, {1,44}, {4,44}, {1,32}, {6,40}, {8,42}, {7,23}, {3,10}, {2,28}, {3,34}, {3,31}, {6,34}, {2,18}, {6,9}, {2,15}, {5,26}, {4,26}, {8,14}, {8,13}, {5,9}, {6,22}, {7,11}, {5,21}, {3,19}, {1,29}, {4,12}, {8,44}, {3,41}, {7,28}, {7,10}, {5,33}, {3,11}, {5,23}, {4,37}, {2,10}, {4,20}, {7,41}, {1,17}, {3,13}, {2,16}, {6,33}, {3,40}, {6,21}, {2,36}, {8,18}, {7,29}, {7,25}, {3,22}, {4,43}, {5,15}, {8,26}, {3,23}, {7,13}, {5,29}, {4,31}, {2,42}, {4,30}, {2,34}, {6,15}, {2,40}, {4,36}, {4,25}, {2,9}, {1,35}, {1,26}, {8,19}, {7,35}, {4,38}, {2,24}, {2,27}, {5,38}, {3,35}, {1,23}, {2,21}, {5,27}, {6,30}, {1,39}, {2,39}, {8,38}, {8,43}, {2,12}, {5,20}, {8,32}, {3,28}, {5,17}, {8,20}, {6,16}, {7,16}, {1,14}, {1,41}, {4,32}, {6,42}, {1,20}, {1,27}, {5,11}, {7,22}, {3,16}, {4,18}, {3,25}, {8,25}, {7,37}, {1,33}, {3,17}, {8,37}, {3,37}, {6,24}, {8,30}, {3,43}, {6,27}, {5,44}, {7,34}, {7,17}, {5,39}, {4,13}, {1,21}, {2,30}, {4,19}, {4,24}, {8,12}, {6,28} }; // ETB44.45 (= ET44.48) // Bipartite(8,36) Valencies [18,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6687075336192000000 EdgesBipt[44][45]:={ {1,15}, {7,43}, {7,19}, {7,42}, {6,12}, {3,15}, {1,43}, {8,24}, {2,38}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {5,30}, {5,42}, {6,36}, {1,31}, {4,27}, {6,17}, {8,36}, {5,35}, {6,41}, {7,24}, {6,23}, {2,20}, {4,40}, {1,25}, {7,38}, {4,16}, {2,37}, {5,24}, {5,41}, {1,9}, {2,33}, {7,31}, {4,44}, {6,40}, {8,42}, {5,13}, {8,34}, {3,10}, {3,34}, {2,19}, {6,34}, {2,15}, {4,26}, {8,14}, {6,22}, {5,37}, {1,29}, {8,22}, {8,44}, {3,41}, {2,14}, {5,23}, {3,11}, {4,20}, {6,11}, {2,31}, {7,26}, {8,28}, {4,39}, {1,17}, {2,32}, {3,40}, {4,33}, {8,10}, {8,18}, {4,28}, {2,13}, {3,9}, {7,25}, {3,22}, {5,43}, {5,19}, {7,20}, {8,26}, {3,23}, {7,13}, {5,29}, {7,14}, {3,27}, {1,19}, {4,21}, {7,30}, {4,15}, {2,9}, {1,35}, {2,44}, {8,40}, {6,29}, {4,38}, {2,27}, {2,43}, {3,35}, {1,23}, {2,21}, {6,30}, {1,39}, {7,18}, {2,39}, {7,44}, {8,38}, {4,22}, {8,32}, {3,28}, {5,36}, {5,31}, {5,17}, {8,16}, {8,20}, {6,16}, {3,21}, {1,41}, {4,32}, {6,42}, {3,39}, {1,37}, {1,27}, {5,11}, {3,16}, {1,13}, {7,32}, {2,26}, {7,37}, {1,33}, {5,12}, {2,25}, {3,17}, {4,9}, {6,24}, {6,35}, {5,18}, {8,30}, {4,34}, {3,33}, {7,36}, {7,12}, {1,21}, {5,25}, {4,10}, {8,12}, {6,28} }; // ETB44.46 (= ET44.49) // Bipartite(8,36) Valencies [18,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 417942208512 EdgesBipt[44][46]:={ {1,15}, {4,35}, {7,43}, {7,19}, {6,39}, {5,14}, {3,15}, {1,43}, {4,42}, {6,14}, {5,42}, {5,30}, {3,38}, {1,31}, {4,27}, {7,40}, {2,11}, {5,35}, {7,24}, {2,20}, {1,25}, {6,13}, {5,41}, {1,9}, {2,33}, {6,32}, {6,25}, {7,31}, {4,44}, {6,40}, {8,42}, {8,34}, {3,10}, {2,28}, {3,34}, {3,31}, {6,9}, {5,26}, {8,14}, {8,13}, {8,41}, {5,9}, {5,21}, {2,29}, {3,19}, {4,12}, {8,22}, {8,44}, {7,28}, {7,10}, {5,33}, {3,11}, {5,23}, {4,20}, {2,41}, {2,23}, {7,41}, {4,39}, {1,36}, {2,16}, {2,32}, {6,33}, {3,40}, {6,21}, {2,36}, {2,17}, {8,10}, {8,18}, {7,29}, {3,14}, {1,12}, {7,25}, {3,22}, {5,43}, {5,19}, {8,26}, {3,23}, {6,37}, {7,13}, {8,17}, {5,29}, {3,27}, {4,30}, {6,15}, {6,26}, {1,19}, {2,40}, {4,36}, {2,35}, {4,15}, {2,9}, {2,44}, {2,24}, {4,11}, {5,38}, {3,35}, {2,21}, {1,39}, {6,38}, {8,38}, {2,12}, {4,22}, {8,32}, {3,28}, {3,26}, {5,31}, {5,17}, {8,20}, {1,42}, {6,16}, {6,20}, {7,16}, {4,32}, {3,39}, {1,37}, {1,27}, {5,11}, {7,22}, {3,16}, {1,13}, {4,18}, {8,25}, {7,37}, {1,33}, {8,37}, {5,18}, {8,30}, {3,43}, {6,44}, {4,34}, {6,27}, {7,34}, {7,36}, {7,17}, {4,23}, {1,30}, {7,12}, {1,21}, {1,18}, {4,10}, {4,24}, {1,24}, {8,29}, {6,28} }; // ETB44.47 (= ET44.50) // Bipartite(11,33) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 239446056960 EdgesBipt[44][47]:={ {2,44}, {11,17}, {2,24}, {5,17}, {10,24}, {11,20}, {9,28}, {2,33}, {6,16}, {11,36}, {5,34}, {4,24}, {8,12}, {4,26}, {3,40}, {10,37}, {4,30}, {11,25}, {8,30}, {2,23}, {5,38}, {7,38}, {8,28}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {7,44}, {1,40}, {10,26}, {4,19}, {9,44}, {7,22}, {2,19}, {1,19}, {3,35}, {9,43}, {8,39}, {1,21}, {11,41}, {11,14}, {7,36}, {8,25}, {2,41}, {2,28}, {1,30}, {5,32}, {8,15}, {2,42}, {10,15}, {6,22}, {3,18}, {11,28}, {10,30}, {3,34}, {11,38}, {6,31}, {1,38}, {2,34}, {4,22}, {8,19}, {9,29}, {10,38}, {1,18}, {3,14}, {9,32}, {9,26}, {1,44}, {4,41}, {8,41}, {5,43}, {8,14}, {7,39}, {2,39}, {3,12}, {10,41}, {7,13}, {7,25}, {11,31}, {2,35}, {1,22}, {6,12}, {4,33}, {5,23}, {4,21}, {10,29}, {3,20}, {10,31}, {2,13}, {9,42}, {2,20}, {10,40}, {1,29}, {8,17}, {3,32}, {11,21}, {4,35}, {7,16}, {8,36}, {1,12}, {6,33}, {1,23}, {6,44}, {7,17}, {11,30}, {5,24}, {9,37}, {10,42}, {9,20}, {4,15}, {4,13}, {7,14}, {4,43}, {1,33}, {10,13}, {3,29}, {6,23}, {1,43}, {8,37}, {5,28}, {8,26}, {9,22}, {6,15}, {2,17}, {4,36}, {5,12}, {9,40}, {6,27}, {11,39}, {6,26}, {8,40}, {3,23}, {8,23}, {3,21}, {7,29}, {6,14}, {5,39}, {7,28}, {4,37}, {6,42}, {10,35}, {11,16}, {6,36}, {8,34}, {9,18}, {3,24}, {11,27}, {10,27}, {2,22}, {1,16}, {4,14}, {11,32}, {9,17}, {10,18}, {6,25}, {6,38}, {2,31}, {9,33}, {6,34}, {5,27}, {5,26}, {8,18}, {3,42}, {9,39}, {11,19}, {4,25}, {10,19}, {5,13}, {7,27}, {1,41}, {7,24}, {3,31}, {2,12}, {10,20}, {5,15}, {7,33}, {6,37}, {6,20}, {7,35}, {11,43}, {5,21}, {2,30}, {9,15}, {5,35}, {1,34}, {9,31}, {5,37}, {3,36}, {9,21}, {11,42}, {7,40}, {4,44}, {8,29}, {4,32}, {7,18}, {10,16}, {5,16} }; // ETB44.48 (= ET44.51) // Bipartite(20,24) Valencies [18,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1337415067238400000000 EdgesBipt[44][48]:={ {13,21}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {4,28}, {3,26}, {13,37}, {1,40}, {14,38}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {3,39}, {16,37}, {20,37}, {16,28}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {14,29}, {16,21}, {13,40}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {2,34}, {12,28}, {19,31}, {2,25}, {4,24}, {4,43}, {15,32}, {9,33}, {20,43}, {8,37}, {20,24}, {5,41}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {12,31}, {12,40}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {1,36}, {1,29}, {19,42}, {12,37}, {10,35}, {16,43}, {18,39}, {4,23}, {13,26}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {13,41}, {20,36}, {16,40}, {18,29}, {9,36}, {6,34}, {9,29}, {18,26}, {18,33}, {3,38}, {3,43}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {11,42}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {20,25}, {4,32}, {1,30}, {19,27}, {16,29}, {11,36}, {3,30}, {11,23}, {3,24}, {14,33}, {14,23}, {10,38}, {15,34}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {4,41}, {9,38}, {8,41}, {14,21}, {9,26}, {18,38}, {13,36}, {1,41}, {2,23}, {15,23}, {12,41}, {9,22}, {11,44}, {3,44}, {20,31}, {19,24}, {11,34}, {17,28}, {7,35}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {18,25}, {13,22}, {1,25}, {9,30}, {3,32}, {14,27}, {16,41}, {7,28}, {20,44}, {17,44}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {14,43}, {3,42}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {18,31}, {19,44}, {9,41}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {17,22}, {17,25}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {18,41}, {18,21}, {10,21}, {9,21}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {16,36}, {13,32}, {14,26}, {11,30}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {19,43}, {5,24}, {2,22}, {8,43}, {2,31}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {12,44}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {19,35}, {13,34}, {7,22}, {6,26}, {1,34}, {15,42}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {20,23}, {8,44}, {17,21}, {19,36}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {14,25}, {7,26}, {11,28}, {16,35}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {6,21}, {15,22}, {14,41}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {20,40}, {5,44}, {5,25}, {10,23}, {15,26}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {15,43}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {18,34}, {11,26}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB44.49 (= ET44.52) // Bipartite(4,40) Valencies [20,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1387209705021820108800000000 EdgesBipt[44][49]:={ {3,32}, {2,14}, {3,40}, {4,23}, {4,39}, {2,37}, {1,44}, {1,24}, {3,12}, {2,26}, {1,29}, {2,30}, {2,29}, {1,32}, {4,34}, {2,10}, {1,37}, {1,33}, {1,40}, {4,11}, {4,10}, {1,36}, {3,27}, {2,6}, {4,43}, {4,7}, {1,20}, {1,12}, {4,31}, {3,8}, {3,23}, {3,24}, {2,33}, {3,20}, {2,21}, {4,6}, {4,30}, {3,44}, {4,18}, {3,11}, {3,16}, {3,7}, {1,16}, {3,28}, {3,15}, {4,38}, {2,38}, {1,21}, {2,18}, {4,27}, {3,19}, {2,5}, {3,31}, {1,5}, {4,15}, {1,17}, {4,22}, {3,39}, {2,42}, {1,28}, {2,17}, {1,8}, {1,13}, {2,34}, {2,9}, {1,9}, {2,41}, {4,26}, {1,41}, {2,13}, {2,25}, {4,14}, {4,35}, {4,42}, {4,19}, {1,25}, {2,22}, {3,36}, {3,43}, {3,35} }; // ETB44.50 (= ET44.53) // Bipartite(22,22) Valencies [20,20] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 334846387814400 EdgesBipt[44][50]:={ {15,33}, {6,38}, {19,28}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {19,26}, {11,25}, {4,28}, {5,43}, {8,26}, {22,40}, {13,37}, {1,40}, {14,38}, {13,39}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {21,30}, {14,31}, {21,41}, {3,23}, {8,23}, {10,39}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {21,28}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {14,44}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {22,37}, {4,24}, {4,43}, {21,40}, {16,42}, {18,32}, {15,32}, {4,30}, {20,43}, {8,37}, {20,24}, {5,41}, {21,38}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {11,39}, {10,26}, {22,42}, {7,33}, {12,31}, {12,40}, {20,29}, {17,26}, {13,24}, {15,30}, {12,23}, {20,39}, {22,25}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {16,43}, {6,44}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {13,41}, {20,36}, {20,42}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {18,26}, {18,33}, {18,36}, {22,43}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {19,38}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {17,29}, {20,25}, {4,32}, {2,44}, {1,30}, {19,27}, {14,28}, {6,36}, {11,36}, {3,30}, {2,24}, {22,26}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {21,25}, {14,39}, {21,31}, {8,24}, {4,41}, {9,38}, {9,26}, {18,38}, {21,37}, {3,29}, {17,31}, {1,41}, {2,23}, {22,29}, {15,23}, {12,41}, {11,44}, {3,44}, {20,31}, {3,25}, {19,24}, {21,42}, {7,35}, {2,43}, {22,30}, {2,27}, {12,30}, {6,30}, {4,33}, {22,44}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {1,25}, {22,31}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {17,44}, {13,29}, {8,34}, {9,25}, {17,30}, {10,30}, {7,23}, {16,30}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {1,44}, {13,38}, {19,44}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {22,41}, {4,29}, {1,32}, {21,39}, {19,29}, {6,43}, {6,37}, {8,32}, {22,39}, {7,24}, {10,28}, {9,24}, {5,31}, {17,25}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {22,38}, {8,36}, {13,44}, {8,27}, {3,33}, {16,36}, {13,32}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {19,43}, {18,28}, {5,24}, {15,29}, {18,24}, {8,43}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {21,33}, {12,36}, {16,27}, {12,44}, {5,26}, {19,25}, {2,37}, {4,42}, {10,41}, {4,25}, {3,28}, {14,30}, {21,34}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {21,35}, {22,33}, {11,31}, {21,44}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {6,26}, {1,34}, {15,42}, {22,27}, {13,35}, {21,27}, {6,41}, {21,29}, {17,24}, {17,40}, {20,23}, {12,34}, {8,44}, {19,36}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {14,25}, {20,34}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {22,24}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {14,41}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {22,35}, {21,36}, {15,31}, {7,44}, {8,28}, {7,43}, {18,40}, {9,40}, {20,40}, {1,27}, {5,44}, {5,25}, {17,23}, {10,23}, {15,26}, {22,36}, {9,43}, {8,39}, {22,32}, {9,42}, {5,36}, {9,34}, {15,43}, {4,39}, {7,36}, {6,35}, {17,32}, {21,24}, {17,43}, {21,26}, {22,28}, {1,37}, {8,25}, {2,42}, {16,32}, {6,33}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40}, {21,23} }; // ETB44.51 (= ET44.54) // Bipartite(16,28) Valencies [21,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5137813722303037440000 EdgesBipt[44][51]:={ {13,21}, {6,38}, {11,40}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {13,37}, {1,40}, {14,38}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,39}, {16,37}, {16,28}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {14,29}, {16,21}, {13,40}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,24}, {4,43}, {15,32}, {9,33}, {1,17}, {8,37}, {12,20}, {5,41}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {16,43}, {4,23}, {11,18}, {13,26}, {2,29}, {5,34}, {1,38}, {1,26}, {13,41}, {16,40}, {9,36}, {6,34}, {9,29}, {9,20}, {8,19}, {3,38}, {1,18}, {3,43}, {15,28}, {6,17}, {5,28}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {11,42}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {8,17}, {16,29}, {11,36}, {3,30}, {16,17}, {11,23}, {3,24}, {14,33}, {10,38}, {14,23}, {15,34}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {12,41}, {9,22}, {11,44}, {3,44}, {11,34}, {7,35}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {13,22}, {1,25}, {6,19}, {4,17}, {9,30}, {3,32}, {14,27}, {16,41}, {7,28}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {9,41}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {2,19}, {16,44}, {4,44}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {8,29}, {8,36}, {13,44}, {8,27}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {16,20}, {8,43}, {2,31}, {14,19}, {1,33}, {12,36}, {16,27}, {12,44}, {5,26}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {13,34}, {7,22}, {6,26}, {1,34}, {15,42}, {14,18}, {5,21}, {7,42}, {6,41}, {8,44}, {6,42}, {16,23}, {4,35}, {13,33}, {14,25}, {7,26}, {7,18}, {11,28}, {5,18}, {16,35}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {8,35}, {6,21}, {15,22}, {14,41}, {15,20}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {9,34}, {15,43}, {4,39}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {16,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB44.52 (= ET44.55) // Bipartite(16,28) Valencies [21,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10321920 EdgesBipt[44][52]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {5,43}, {12,22}, {3,26}, {8,26}, {1,40}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {2,18}, {3,21}, {3,39}, {16,28}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {13,40}, {14,44}, {11,35}, {11,29}, {11,17}, {1,20}, {3,18}, {10,17}, {12,28}, {4,43}, {16,42}, {15,32}, {4,30}, {9,33}, {1,17}, {5,41}, {7,41}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {15,30}, {12,23}, {13,20}, {13,42}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {16,43}, {6,44}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {5,27}, {3,43}, {6,17}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {1,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {6,36}, {11,36}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {12,41}, {9,22}, {9,19}, {3,44}, {11,44}, {3,25}, {11,34}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {12,18}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {6,22}, {4,34}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {14,37}, {13,38}, {14,40}, {9,41}, {16,31}, {7,39}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {6,20}, {16,44}, {4,44}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {7,29}, {2,28}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {16,36}, {9,28}, {3,34}, {2,21}, {4,27}, {15,29}, {16,20}, {8,43}, {2,31}, {14,19}, {1,33}, {16,27}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {11,19}, {8,33}, {14,24}, {13,34}, {7,25}, {7,22}, {15,42}, {13,35}, {5,21}, {7,42}, {12,34}, {8,44}, {6,28}, {16,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {10,27}, {15,18}, {5,17}, {16,33}, {13,23}, {8,35}, {2,40}, {6,21}, {15,22}, {15,20}, {16,39}, {1,28}, {16,24}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {15,31}, {7,44}, {8,28}, {9,40}, {8,20}, {5,25}, {10,23}, {15,26}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {10,32}, {12,35}, {6,35}, {12,19}, {1,37}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB44.53 (= ET44.56) // Bipartite(22,22) Valencies [21,21] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2248001455555215360000 EdgesBipt[44][53]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {8,26}, {10,29}, {15,33}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {8,24}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {1,31}, {2,41}, {6,35}, {17,32}, {21,30}, {16,23}, {21,44}, {20,44}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {22,27}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {7,23}, {5,33}, {4,39}, {6,24}, {16,43}, {6,39}, {2,44}, {19,35}, {1,42}, {16,34}, {19,31}, {18,26}, {14,23}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {21,25}, {5,29}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {4,33}, {15,40}, {21,34}, {18,34}, {10,31}, {22,38}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {22,33}, {14,37}, {11,24}, {7,43}, {20,31}, {8,33}, {10,28}, {9,44}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {22,40}, {8,27}, {5,30}, {19,43}, {16,27}, {9,30}, {5,40}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {15,44}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {8,42}, {15,38}, {7,38}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {20,34}, {7,44}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {20,30}, {2,29}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {14,42}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {4,23}, {22,34}, {9,36}, {10,40}, {6,27}, {21,41}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {5,44}, {5,35}, {4,43}, {9,32}, {18,32}, {21,32}, {21,26}, {22,31}, {22,35}, {5,39}, {12,43}, {19,34}, {3,40}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {1,24}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB44.54 (= ET44.57) // Bipartite(22,22) Valencies [22,22] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 2526755272089183449772480847989964800000000 EdgesBipt[44][54]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {8,24}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {21,30}, {16,23}, {21,44}, {20,44}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {7,23}, {5,33}, {4,39}, {6,24}, {16,43}, {6,39}, {2,44}, {19,35}, {1,42}, {16,34}, {19,31}, {22,41}, {18,26}, {14,23}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {21,25}, {5,29}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {4,33}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {22,33}, {11,24}, {7,43}, {20,31}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {22,40}, {13,37}, {8,27}, {5,30}, {19,43}, {16,27}, {9,30}, {5,40}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {15,44}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {20,34}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {20,30}, {2,29}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {14,42}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {4,23}, {22,34}, {9,36}, {10,40}, {6,27}, {21,41}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {5,44}, {5,35}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {22,31}, {22,35}, {5,39}, {12,43}, {19,34}, {3,40}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB44.55 (= ET44.58) // Bipartite(21,23) Valencies [23,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1320803892228436803290160443267481600000000 EdgesBipt[44][55]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {14,29}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {8,24}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {21,42}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {19,35}, {1,42}, {16,34}, {19,31}, {18,26}, {14,23}, {2,28}, {20,43}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {21,22}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {20,31}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,22}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {19,43}, {16,27}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {19,36}, {9,34}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {20,34}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {20,30}, {2,29}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {14,42}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {5,44}, {5,35}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {5,39}, {12,43}, {19,34}, {3,40}, {12,36}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB44.56 (= ET44.59) // Bipartite(12,32) Valencies [24,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 82205019556848599040000 EdgesBipt[44][56]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,39}, {11,14}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {8,13}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {1,13}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {2,29}, {5,34}, {1,38}, {1,26}, {7,15}, {9,36}, {6,34}, {9,29}, {9,20}, {8,19}, {3,38}, {1,18}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {9,13}, {6,27}, {2,30}, {11,42}, {3,36}, {4,21}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {8,17}, {11,36}, {3,30}, {3,16}, {11,23}, {11,16}, {3,24}, {10,38}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {12,17}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {12,41}, {11,44}, {3,44}, {11,34}, {7,35}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {3,32}, {7,28}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,15}, {9,41}, {6,23}, {7,39}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {2,19}, {4,44}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {8,29}, {8,36}, {8,27}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {12,44}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {3,15}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,42}, {4,35}, {7,26}, {7,18}, {11,28}, {7,16}, {5,16}, {5,18}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {8,35}, {6,21}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB44.57 (= ET44.60) // Bipartite(12,32) Valencies [24,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[44][57]:={ {11,40}, {10,37}, {9,32}, {5,38}, {5,22}, {11,25}, {4,28}, {5,43}, {3,26}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {11,15}, {10,33}, {8,21}, {5,15}, {1,19}, {8,23}, {3,20}, {11,14}, {1,35}, {5,32}, {4,37}, {6,14}, {2,33}, {6,32}, {11,29}, {11,17}, {10,42}, {6,29}, {3,18}, {8,16}, {10,17}, {9,18}, {12,28}, {2,25}, {4,43}, {4,30}, {4,16}, {8,37}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {9,35}, {6,18}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {12,15}, {11,21}, {6,36}, {11,36}, {10,16}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {10,38}, {6,16}, {11,33}, {8,24}, {4,41}, {9,38}, {8,41}, {5,14}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {3,25}, {11,34}, {11,13}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {4,34}, {10,25}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {1,32}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {12,43}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {11,30}, {3,34}, {4,27}, {8,43}, {2,31}, {5,26}, {12,44}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {12,39}, {11,31}, {3,15}, {11,41}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {8,44}, {6,28}, {6,42}, {1,15}, {7,18}, {11,37}, {5,18}, {5,16}, {1,23}, {10,24}, {11,20}, {10,27}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {10,43}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {5,44}, {5,13}, {9,43}, {8,39}, {7,13}, {9,14}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {8,25}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB44.58 (= ET44.61) // Bipartite(20,24) Valencies [24,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1509490162546784918045897649448550400000000 EdgesBipt[44][58]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {20,26}, {3,29}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {9,21}, {13,43}, {19,37}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {20,44}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {19,21}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {19,35}, {1,42}, {16,34}, {19,31}, {8,21}, {18,26}, {14,23}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {5,29}, {9,28}, {20,40}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,22}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {19,43}, {16,27}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {19,36}, {9,34}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {14,42}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {7,21}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {5,44}, {5,35}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {5,39}, {12,43}, {1,21}, {19,34}, {6,21}, {3,40}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB44.59 (= ET44.62) // Bipartite(19,25) Valencies [25,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1886862703183481147557372061810688000000000 EdgesBipt[44][59]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {2,20}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {1,26}, {18,31}, {9,27}, {1,25}, {19,21}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {19,35}, {1,42}, {16,34}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,22}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {19,43}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {14,42}, {6,20}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {16,44}, {7,21}, {17,41}, {11,30}, {8,43}, {19,20}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {5,44}, {5,35}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {5,39}, {12,43}, {1,21}, {19,34}, {6,21}, {7,20}, {3,40}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB44.60 (= ET44.63) // Bipartite(18,26) Valencies [26,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2582022646461605780867982821425152000000000 EdgesBipt[44][60]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {3,29}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,19}, {13,29}, {10,22}, {18,37}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {18,26}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {7,37}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {14,19}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {3,34}, {18,39}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {17,34}, {12,26}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {14,42}, {6,20}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {16,44}, {7,21}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {5,44}, {5,35}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {5,39}, {12,43}, {1,21}, {6,21}, {7,20}, {3,40}, {16,19}, {12,36}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {2,19}, {5,24}, {7,33}, {12,31}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {4,19}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB44.61 (= ET44.64) // Bipartite(8,36) Valencies [27,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6658606584104736522240000 EdgesBipt[44][61]:={ {5,17}, {1,20}, {2,33}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {6,17}, {2,23}, {1,13}, {8,43}, {5,38}, {8,9}, {7,38}, {8,28}, {4,29}, {1,32}, {8,33}, {3,43}, {3,15}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {8,39}, {1,21}, {2,9}, {7,36}, {8,25}, {2,41}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,44}, {8,27}, {8,31}, {2,42}, {6,22}, {3,18}, {6,29}, {8,16}, {6,21}, {3,34}, {5,40}, {2,25}, {7,12}, {6,31}, {1,38}, {2,34}, {1,17}, {5,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {1,44}, {4,41}, {5,29}, {2,10}, {8,41}, {2,38}, {2,37}, {7,39}, {5,25}, {2,39}, {7,32}, {3,12}, {7,43}, {2,35}, {1,22}, {3,44}, {6,30}, {6,43}, {4,33}, {4,21}, {3,20}, {2,13}, {6,18}, {1,29}, {7,30}, {8,17}, {3,39}, {3,32}, {4,35}, {7,16}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {5,30}, {8,11}, {5,24}, {8,13}, {1,9}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {5,42}, {7,31}, {6,15}, {5,41}, {4,36}, {2,17}, {5,12}, {8,32}, {1,42}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {5,44}, {6,26}, {8,40}, {3,23}, {8,23}, {5,36}, {1,25}, {6,19}, {6,9}, {6,41}, {6,14}, {2,11}, {1,37}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {8,24}, {6,25}, {6,38}, {2,31}, {6,34}, {6,10}, {5,10}, {5,26}, {3,42}, {5,9}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {1,41}, {3,31}, {7,24}, {1,14}, {6,39}, {6,37}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {4,44}, {7,42}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB44.62 (= ET44.65) // Bipartite(17,27) Valencies [27,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3873033969692408671301974232137728000000000 EdgesBipt[44][62]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {17,29}, {5,18}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {17,19}, {13,29}, {10,22}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,18}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {9,40}, {14,31}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {9,30}, {5,40}, {16,31}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {15,18}, {17,34}, {12,26}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {14,42}, {6,20}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {16,44}, {7,21}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {16,18}, {5,44}, {5,35}, {4,43}, {11,22}, {16,32}, {9,32}, {5,39}, {12,43}, {1,21}, {6,21}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {17,30}, {2,19}, {5,24}, {7,33}, {12,31}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {4,19}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB44.63 (= ET44.66) // Bipartite(16,28) Valencies [28,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6379114773611026046850310499991552000000000 EdgesBipt[44][63]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {10,17}, {3,29}, {9,18}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {16,17}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {16,23}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {9,40}, {14,31}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {9,30}, {5,40}, {16,31}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {12,26}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {14,42}, {6,20}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {16,18}, {5,44}, {5,35}, {4,43}, {11,22}, {16,32}, {9,32}, {5,39}, {12,43}, {1,21}, {6,21}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {10,32}, {16,24}, {4,19}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB44.64 (= ET44.67) // Bipartite(15,29) Valencies [29,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11562145527169984709916187781234688000000000 EdgesBipt[44][64]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {15,28}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {14,40}, {9,41}, {6,23}, {15,17}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {8,27}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {15,29}, {8,43}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {15,26}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB44.65 (= ET44.68) // Bipartite(4,40) Valencies [30,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4161629115065460326400000000 EdgesBipt[44][65]:={ {4,35}, {3,15}, {2,38}, {2,22}, {3,38}, {3,7}, {4,8}, {4,27}, {2,11}, {1,40}, {4,40}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {1,44}, {3,30}, {4,44}, {1,32}, {3,10}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {1,22}, {1,16}, {3,40}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,22}, {4,43}, {3,23}, {4,31}, {2,42}, {3,27}, {2,34}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {1,26}, {4,11}, {3,42}, {2,27}, {2,43}, {3,35}, {2,21}, {2,39}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {1,14}, {1,41}, {3,44}, {4,32}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {4,9}, {2,7}, {3,43}, {4,41}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {2,5}, {4,24}, {1,24} }; // ETB44.66 (= ET44.69) // Bipartite(11,33) Valencies [30,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14481697524940800 EdgesBipt[44][66]:={ {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {3,26}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {11,15}, {8,21}, {10,33}, {3,19}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {4,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {10,13}, {10,19}, {9,22}, {9,19}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {2,43}, {2,27}, {6,30}, {4,33}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {3,14}, {2,37}, {4,42}, {5,29}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,42}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {5,18}, {5,16}, {1,23}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {2,38}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB44.67 (= ET44.70) // Bipartite(14,30) Valencies [30,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23124291054339969419832375562469376000000000 EdgesBipt[44][67]:={ {13,21}, {6,38}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {14,43}, {3,22}, {14,37}, {1,44}, {13,38}, {4,15}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {8,27}, {3,33}, {13,32}, {14,26}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {14,19}, {1,33}, {12,36}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB44.68 (= ET44.72) // Bipartite(13,31) Valencies [31,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 51203787334609932286771688745467904000000000 EdgesBipt[44][68]:={ {13,21}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {6,14}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {13,25}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {13,38}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {13,14}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {3,33}, {13,32}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB44.69 (= ET44.73) // Bipartite(12,32) Valencies [32,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 126040091900578294859745695373459456000000000 EdgesBipt[44][69]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {3,26}, {12,22}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB44.70 (= ET44.74) // Bipartite(11,33) Valencies [33,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 346610252726590310864300662277013504000000000 EdgesBipt[44][70]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {3,26}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {3,44}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {3,33}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {1,33}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {3,12}, {9,14}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB44.71 (= ET44.76) // Bipartite(10,34) Valencies [34,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1071340781154915506307838410674405376000000000 EdgesBipt[44][71]:={ {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {4,11}, {3,44}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {3,33}, {2,11}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB44.72 (= ET44.77) // Bipartite(9,35) Valencies [35,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3749692734042204272077434437360418816000000000 EdgesBipt[44][72]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {3,29}, {1,41}, {2,23}, {9,22}, {4,11}, {3,44}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,43}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB44.73 (= ET44.78) // Bipartite(8,36) Valencies [36,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14998770936168817088309737749441675264000000000 EdgesBipt[44][73]:={ {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {8,16}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,11}, {3,44}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {8,27}, {3,33}, {2,11}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,9}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {6,40} }; // ETB44.74 (= ET44.79) // Bipartite(7,37) Valencies [37,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 69369315579780779033432537091167748096000000000 EdgesBipt[44][74]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {4,22}, {5,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {7,43}, {2,35}, {1,22}, {3,44}, {6,12}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {7,17}, {5,24}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {5,28}, {5,42}, {7,31}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {1,25}, {6,19}, {6,9}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {1,41}, {3,41}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {2,18}, {5,35}, {1,34}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {4,44}, {7,42}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB44.75 (= ET44.80) // Bipartite(6,38) Valencies [38,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 376576284575952800467205201352053489664000000000 EdgesBipt[44][75]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {3,44}, {6,12}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {5,28}, {5,42}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,19}, {6,20}, {2,30}, {5,21}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB44.76 (= ET44.81) // Bipartite(5,39) Valencies [39,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2447745849743693203036833808788347682816000000000 EdgesBipt[44][76]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {4,38}, {3,34}, {2,25}, {5,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {3,44}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,6}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB44.77 (= ET44.82) // Bipartite(4,40) Valencies [40,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19581966797949545624294670470306781462528000000000 EdgesBipt[44][77]:={ {1,15}, {4,35}, {3,15}, {1,43}, {2,38}, {4,42}, {1,11}, {4,14}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {4,8}, {4,27}, {2,11}, {1,40}, {2,20}, {4,40}, {1,25}, {4,16}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {1,44}, {3,30}, {4,44}, {1,32}, {4,6}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {4,26}, {2,29}, {3,19}, {1,29}, {4,12}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {3,9}, {4,29}, {3,22}, {4,43}, {3,23}, {4,31}, {2,42}, {2,34}, {3,27}, {4,30}, {1,19}, {2,40}, {4,21}, {4,36}, {2,35}, {4,17}, {2,9}, {4,15}, {4,25}, {3,5}, {1,35}, {1,26}, {2,44}, {4,38}, {2,24}, {4,11}, {3,42}, {2,27}, {2,43}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {4,22}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {3,44}, {4,32}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {4,18}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {4,9}, {2,7}, {3,43}, {4,34}, {4,41}, {3,33}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,18}, {4,19}, {4,10}, {2,5}, {4,24}, {1,24} }; // ETB44.78 (= ET44.84) // Bipartite(3,41) Valencies [41,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 200715159678982842649020372320644509990912000000000 EdgesBipt[44][78]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {2,11}, {1,40}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,9}, {3,5}, {1,4}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24} }; // ETB44.79 (= ET44.85) // Bipartite(2,42) Valencies [42,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2810012235505759797086285212489023139872768000000000 EdgesBipt[44][79]:={ {2,11}, {1,26}, {2,14}, {2,44}, {1,14}, {1,44}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,40}, {1,10}, {1,43}, {2,39}, {1,39}, {2,43}, {1,36}, {1,6}, {2,40}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,12}, {2,4}, {2,33}, {2,21}, {1,38}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,38}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {2,42}, {1,28}, {2,19}, {1,42}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {2,41}, {1,41}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB44.80 (= ET44.87) // Bipartite(1,43) Valencies [43,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 60415263063373835637355132068513997507264512000000000 EdgesBipt[44][80]:={ {1,26}, {1,14}, {1,44}, {1,24}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 44 is 80 // ******************************************************************************************** // Order 45 // ETB45.1 (= ET45.2) // Bipartite(18,27) Valencies [3,2] // Diameter 8 Girth 12 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[45][1]:={ {15,32}, {18,32}, {5,36}, {18,22}, {17,34}, {2,37}, {1,44}, {15,36}, {6,33}, {5,29}, {4,44}, {9,21}, {7,41}, {7,31}, {16,41}, {6,26}, {11,28}, {5,43}, {2,43}, {8,25}, {1,20}, {4,31}, {12,40}, {17,25}, {2,45}, {3,24}, {8,29}, {10,45}, {11,42}, {16,30}, {13,40}, {10,23}, {12,39}, {3,28}, {4,38}, {13,33}, {11,35}, {17,27}, {12,19}, {7,35}, {9,22}, {3,34}, {14,38}, {14,27}, {14,23}, {1,19}, {10,21}, {9,26}, {18,20}, {15,42}, {16,37}, {13,30}, {6,24}, {8,39} }; // ETB45.2 (= ET45.3) // Bipartite(15,30) Valencies [4,2] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[45][2]:={ {12,27}, {12,20}, {11,16}, {8,19}, {6,34}, {1,44}, {2,30}, {5,29}, {7,41}, {9,31}, {15,20}, {1,39}, {3,27}, {14,45}, {12,30}, {13,26}, {10,36}, {3,37}, {7,33}, {15,37}, {5,44}, {8,32}, {4,32}, {5,21}, {8,43}, {4,18}, {13,40}, {1,16}, {12,39}, {4,45}, {11,35}, {13,36}, {2,38}, {11,40}, {9,42}, {3,18}, {6,42}, {7,22}, {15,28}, {14,33}, {14,21}, {10,19}, {8,26}, {15,34}, {6,25}, {2,23}, {5,35}, {10,22}, {10,38}, {2,41}, {9,28}, {1,23}, {11,31}, {14,25}, {13,17}, {7,24}, {9,17}, {6,24}, {3,43}, {4,29} }; // ETB45.3 (= ET45.4) // Bipartite(15,30) Valencies [4,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 60 EdgesBipt[45][3]:={ {1,26}, {5,33}, {6,41}, {4,24}, {8,28}, {4,23}, {8,20}, {4,36}, {11,25}, {15,20}, {3,42}, {9,38}, {15,27}, {14,34}, {11,37}, {6,43}, {12,31}, {5,44}, {10,45}, {6,36}, {9,37}, {15,21}, {4,18}, {7,32}, {10,31}, {1,16}, {7,40}, {9,40}, {13,33}, {2,38}, {13,39}, {3,25}, {14,43}, {3,19}, {3,30}, {12,34}, {14,32}, {12,24}, {15,17}, {5,30}, {7,21}, {8,41}, {10,42}, {12,22}, {1,28}, {2,17}, {2,23}, {13,29}, {11,39}, {2,35}, {1,19}, {13,27}, {9,26}, {11,18}, {8,45}, {6,29}, {14,16}, {5,22}, {7,44}, {10,35} }; // ETB45.4 (= ET45.5) // Bipartite(15,30) Valencies [4,2] // Diameter 15 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 983040 EdgesBipt[45][4]:={ {8,28}, {9,19}, {5,32}, {10,27}, {10,40}, {1,44}, {2,32}, {2,30}, {1,29}, {9,21}, {11,20}, {3,33}, {15,24}, {4,43}, {11,37}, {2,45}, {1,31}, {7,33}, {15,37}, {4,30}, {8,43}, {3,16}, {12,39}, {1,16}, {4,45}, {7,18}, {13,36}, {5,19}, {11,35}, {9,36}, {11,22}, {12,41}, {5,17}, {6,27}, {3,18}, {6,42}, {3,31}, {12,24}, {14,40}, {9,34}, {7,35}, {12,26}, {8,41}, {13,38}, {7,20}, {13,23}, {4,28}, {13,21}, {14,38}, {10,42}, {8,26}, {14,23}, {2,17}, {15,39}, {5,34}, {10,25}, {14,25}, {6,29}, {6,44}, {15,22} }; // ETB45.5 (= ET45.10) // Bipartite(20,25) Valencies [5,4] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 800 EdgesBipt[45][5]:={ {17,41}, {15,43}, {8,28}, {6,37}, {5,32}, {19,24}, {1,24}, {2,26}, {17,28}, {2,30}, {19,26}, {4,44}, {20,38}, {7,41}, {7,31}, {1,37}, {1,40}, {8,23}, {5,27}, {11,24}, {16,23}, {15,44}, {8,25}, {20,21}, {9,44}, {18,33}, {10,30}, {13,26}, {19,22}, {8,24}, {11,38}, {6,43}, {10,45}, {6,32}, {17,42}, {5,23}, {13,32}, {15,21}, {4,33}, {16,40}, {5,31}, {15,31}, {7,40}, {8,33}, {4,38}, {13,42}, {19,27}, {13,33}, {11,35}, {1,21}, {3,25}, {13,39}, {9,36}, {9,27}, {5,45}, {12,41}, {12,34}, {12,23}, {12,37}, {18,30}, {9,42}, {14,40}, {18,31}, {16,35}, {9,34}, {7,38}, {15,28}, {11,36}, {20,34}, {10,39}, {20,25}, {4,22}, {3,39}, {2,28}, {18,37}, {19,43}, {12,22}, {14,27}, {1,42}, {3,41}, {6,35}, {11,45}, {2,35}, {2,34}, {16,39}, {10,22}, {10,21}, {14,29}, {20,32}, {17,45}, {17,29}, {14,25}, {6,29}, {18,36}, {3,43}, {3,36}, {14,30}, {16,44}, {7,26}, {4,29} }; // ETB45.6 (= ET45.11) // Bipartite(20,25) Valencies [5,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29491200 EdgesBipt[45][6]:={ {14,39}, {9,40}, {19,45}, {2,38}, {4,42}, {11,23}, {5,42}, {5,30}, {8,36}, {9,45}, {13,24}, {5,34}, {1,25}, {7,33}, {20,23}, {19,40}, {10,40}, {6,32}, {13,27}, {4,44}, {14,42}, {11,22}, {12,25}, {3,31}, {17,44}, {5,26}, {20,40}, {10,23}, {8,22}, {16,21}, {15,34}, {10,34}, {2,41}, {7,41}, {8,33}, {9,43}, {4,39}, {18,33}, {1,22}, {6,21}, {4,28}, {7,29}, {10,31}, {16,26}, {10,37}, {14,28}, {14,45}, {13,35}, {4,45}, {16,29}, {11,28}, {3,27}, {6,26}, {2,35}, {17,33}, {14,44}, {12,35}, {6,29}, {18,27}, {19,43}, {20,37}, {15,26}, {12,38}, {5,38}, {2,43}, {3,35}, {1,23}, {12,43}, {15,42}, {8,27}, {7,44}, {17,37}, {3,24}, {19,36}, {11,25}, {11,21}, {3,39}, {17,41}, {18,30}, {17,29}, {20,34}, {7,37}, {15,38}, {12,41}, {2,25}, {1,28}, {18,36}, {20,31}, {9,32}, {6,24}, {18,22}, {8,30}, {13,31}, {9,36}, {19,32}, {16,32}, {15,30}, {1,21}, {13,39}, {16,24} }; // ETB45.7 (= ET45.12) // Bipartite(15,30) Valencies [6,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 360 EdgesBipt[45][7]:={ {11,30}, {1,26}, {12,27}, {3,40}, {6,37}, {13,19}, {2,44}, {6,34}, {10,40}, {4,41}, {5,24}, {8,31}, {2,32}, {14,18}, {2,29}, {5,29}, {4,34}, {13,34}, {14,26}, {8,23}, {12,16}, {14,39}, {5,43}, {1,36}, {3,27}, {12,45}, {8,25}, {3,38}, {15,27}, {4,31}, {6,40}, {8,29}, {6,32}, {7,36}, {13,43}, {1,38}, {3,44}, {4,18}, {2,16}, {7,43}, {1,16}, {3,28}, {2,20}, {10,23}, {15,19}, {8,33}, {5,28}, {1,21}, {9,36}, {11,32}, {4,21}, {9,33}, {11,22}, {9,42}, {3,31}, {12,24}, {15,17}, {7,25}, {15,25}, {7,35}, {13,38}, {7,20}, {13,23}, {10,39}, {14,33}, {10,42}, {2,19}, {15,41}, {5,18}, {12,42}, {12,35}, {6,17}, {11,41}, {11,45}, {11,39}, {14,37}, {9,30}, {10,21}, {14,44}, {15,26}, {1,22}, {4,35}, {9,28}, {13,30}, {7,37}, {10,20}, {8,45}, {5,22}, {9,17}, {6,24} }; // ETB45.8 (= ET45.13) // Bipartite(15,30) Valencies [6,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255941120 EdgesBipt[45][8]:={ {3,32}, {3,22}, {1,26}, {15,35}, {5,33}, {12,27}, {6,34}, {8,31}, {14,18}, {5,29}, {11,17}, {9,16}, {12,33}, {6,26}, {8,21}, {5,43}, {2,43}, {3,42}, {1,36}, {4,40}, {8,25}, {9,38}, {11,27}, {15,29}, {11,37}, {1,31}, {3,24}, {12,43}, {6,36}, {2,33}, {11,21}, {4,30}, {15,45}, {6,16}, {5,23}, {13,32}, {7,27}, {3,44}, {7,32}, {13,40}, {1,16}, {15,19}, {4,45}, {10,34}, {13,42}, {5,19}, {2,38}, {1,21}, {2,18}, {9,36}, {4,20}, {12,23}, {12,37}, {10,44}, {13,20}, {14,40}, {15,25}, {7,22}, {10,29}, {8,35}, {10,24}, {13,22}, {8,41}, {5,39}, {10,39}, {4,25}, {2,28}, {3,34}, {10,19}, {14,38}, {9,18}, {11,41}, {15,39}, {2,23}, {14,20}, {7,17}, {9,26}, {1,41}, {7,42}, {4,35}, {9,28}, {13,30}, {14,28}, {7,37}, {12,17}, {8,45}, {11,31}, {6,44}, {6,24}, {14,30} }; // ETB45.9 (= ET45.14) // Bipartite(15,30) Valencies [6,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[45][9]:={ {3,32}, {5,33}, {12,20}, {11,16}, {6,37}, {9,19}, {10,27}, {15,40}, {4,41}, {10,43}, {4,36}, {13,31}, {14,18}, {11,25}, {6,45}, {7,41}, {8,38}, {1,37}, {13,16}, {8,23}, {14,39}, {5,43}, {12,45}, {15,44}, {12,30}, {15,29}, {6,30}, {8,24}, {2,36}, {12,40}, {7,33}, {8,29}, {9,32}, {2,21}, {5,16}, {4,32}, {8,44}, {5,31}, {9,24}, {2,20}, {3,28}, {7,18}, {3,17}, {13,36}, {5,28}, {4,21}, {6,38}, {14,35}, {3,30}, {11,40}, {10,44}, {4,17}, {15,25}, {7,22}, {10,29}, {9,34}, {1,27}, {13,38}, {13,23}, {13,21}, {2,27}, {12,25}, {14,33}, {3,45}, {2,42}, {11,34}, {6,22}, {10,42}, {1,42}, {15,41}, {5,18}, {12,35}, {14,20}, {2,35}, {14,24}, {1,19}, {10,28}, {4,26}, {15,26}, {1,22}, {1,34}, {9,39}, {11,19}, {7,37}, {11,31}, {6,23}, {9,17}, {3,43}, {8,39}, {7,26} }; // ETB45.10 (= ET45.15) // Bipartite(18,27) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[45][10]:={ {11,43}, {9,40}, {2,38}, {4,42}, {12,39}, {18,44}, {14,34}, {5,42}, {5,30}, {3,38}, {7,40}, {10,27}, {8,36}, {7,24}, {9,45}, {11,29}, {10,43}, {4,40}, {17,35}, {16,23}, {7,27}, {1,44}, {3,30}, {14,42}, {6,40}, {13,43}, {12,27}, {14,35}, {13,42}, {6,45}, {16,41}, {2,19}, {15,32}, {6,22}, {2,29}, {1,29}, {18,24}, {7,28}, {12,21}, {11,34}, {17,23}, {15,34}, {9,27}, {2,41}, {13,33}, {7,26}, {8,28}, {10,25}, {18,38}, {1,22}, {6,33}, {12,34}, {4,33}, {4,28}, {10,39}, {16,26}, {7,25}, {3,22}, {10,37}, {5,19}, {15,35}, {8,26}, {14,43}, {1,19}, {15,33}, {5,28}, {10,29}, {17,36}, {18,35}, {6,31}, {18,32}, {15,31}, {2,21}, {6,30}, {5,45}, {14,31}, {1,39}, {13,32}, {14,23}, {4,22}, {5,31}, {15,37}, {9,24}, {11,25}, {8,20}, {11,21}, {3,21}, {1,41}, {3,44}, {16,44}, {3,39}, {17,41}, {8,25}, {13,23}, {8,45}, {17,38}, {11,20}, {17,26}, {18,36}, {9,36}, {16,32}, {13,37}, {12,37}, {2,30}, {12,20}, {4,19}, {9,20}, {16,24} }; // ETB45.11 (= ET45.16) // Bipartite(18,27) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[45][11]:={ {10,19}, {16,34}, {13,41}, {18,41}, {11,44}, {13,29}, {8,39}, {1,43}, {12,26}, {2,38}, {15,43}, {18,44}, {14,34}, {5,30}, {6,36}, {4,27}, {7,24}, {9,45}, {6,23}, {10,38}, {14,19}, {4,40}, {7,38}, {3,32}, {5,41}, {2,33}, {17,35}, {7,27}, {14,42}, {12,27}, {18,23}, {9,31}, {15,32}, {15,28}, {8,22}, {12,21}, {17,30}, {4,37}, {10,34}, {2,31}, {13,33}, {17,24}, {13,26}, {15,25}, {3,40}, {6,21}, {10,39}, {7,29}, {9,23}, {8,35}, {15,35}, {3,23}, {2,42}, {10,33}, {1,19}, {17,33}, {14,44}, {5,28}, {8,40}, {6,29}, {12,24}, {11,36}, {14,36}, {12,43}, {14,22}, {5,45}, {6,38}, {11,40}, {9,28}, {4,22}, {11,31}, {3,24}, {11,25}, {8,20}, {9,26}, {18,20}, {3,21}, {1,41}, {3,44}, {4,32}, {13,21}, {6,42}, {1,37}, {1,20}, {15,27}, {16,28}, {17,29}, {7,37}, {16,43}, {16,42}, {2,25}, {10,20}, {17,32}, {18,22}, {8,30}, {16,37}, {9,36}, {7,34}, {1,45}, {16,31}, {5,39}, {11,35}, {2,30}, {5,25}, {4,19}, {12,45}, {18,26}, {13,39} }; // ETB45.12 (= ET45.17) // Bipartite(18,27) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 108 EdgesBipt[45][12]:={ {11,43}, {13,41}, {5,32}, {7,39}, {10,21}, {1,43}, {4,42}, {12,39}, {2,22}, {9,42}, {5,30}, {11,29}, {6,23}, {1,40}, {4,40}, {13,24}, {1,25}, {15,44}, {12,31}, {1,38}, {5,41}, {10,44}, {13,43}, {17,42}, {12,27}, {14,35}, {13,38}, {6,45}, {3,34}, {2,28}, {9,31}, {16,41}, {13,20}, {5,21}, {10,23}, {11,45}, {17,23}, {15,34}, {10,34}, {2,41}, {18,33}, {13,26}, {10,25}, {15,25}, {6,33}, {4,29}, {14,28}, {7,20}, {8,35}, {6,37}, {4,31}, {1,19}, {15,19}, {12,28}, {15,33}, {12,35}, {18,19}, {1,35}, {11,26}, {2,44}, {4,38}, {5,22}, {9,44}, {17,22}, {18,32}, {14,36}, {16,27}, {14,22}, {8,27}, {8,43}, {14,37}, {9,28}, {3,24}, {17,37}, {12,36}, {8,23}, {9,26}, {18,29}, {17,21}, {10,42}, {11,32}, {18,30}, {8,25}, {7,32}, {9,29}, {2,26}, {8,45}, {18,45}, {11,20}, {7,21}, {3,20}, {14,40}, {3,36}, {3,37}, {6,24}, {16,38}, {6,27}, {7,34}, {15,30}, {3,33}, {7,36}, {17,40}, {5,39}, {16,31}, {16,39}, {2,30}, {4,19}, {16,24} }; // ETB45.13 (= ET45.18) // Bipartite(18,27) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[45][13]:={ {10,19}, {4,35}, {13,25}, {16,34}, {9,40}, {18,41}, {17,39}, {12,39}, {18,44}, {14,34}, {9,42}, {11,33}, {7,40}, {13,24}, {12,40}, {5,24}, {3,32}, {6,32}, {7,31}, {7,27}, {4,44}, {1,32}, {16,20}, {17,42}, {18,21}, {13,38}, {3,34}, {16,33}, {10,23}, {3,19}, {5,37}, {15,39}, {17,23}, {5,33}, {9,27}, {2,23}, {13,26}, {15,25}, {1,22}, {2,36}, {7,25}, {3,22}, {14,28}, {10,37}, {4,43}, {10,24}, {8,35}, {14,43}, {4,45}, {4,31}, {15,45}, {2,42}, {4,30}, {10,33}, {1,19}, {12,29}, {13,30}, {9,25}, {8,19}, {11,26}, {6,29}, {17,36}, {18,35}, {5,22}, {9,44}, {2,43}, {16,27}, {18,28}, {6,38}, {8,38}, {14,37}, {5,36}, {3,26}, {5,31}, {8,20}, {8,23}, {11,21}, {6,20}, {11,30}, {1,41}, {11,27}, {6,42}, {13,21}, {3,39}, {17,34}, {7,22}, {15,41}, {16,28}, {15,38}, {11,20}, {16,43}, {12,41}, {14,29}, {14,40}, {1,28}, {18,31}, {17,26}, {9,32}, {6,44}, {10,35}, {7,36}, {12,37}, {2,30}, {1,21}, {15,24}, {12,45}, {8,29}, {2,45} }; // ETB45.14 (= ET45.19) // Bipartite(18,27) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[45][14]:={ {7,19}, {14,21}, {10,21}, {15,23}, {11,23}, {12,39}, {15,43}, {9,42}, {8,36}, {5,35}, {4,40}, {13,24}, {11,42}, {1,25}, {7,33}, {3,32}, {9,19}, {4,44}, {3,30}, {1,32}, {13,43}, {6,40}, {8,42}, {6,45}, {2,28}, {16,33}, {6,22}, {10,30}, {14,27}, {5,37}, {8,22}, {12,21}, {6,43}, {1,34}, {11,34}, {17,31}, {9,38}, {4,37}, {13,44}, {10,36}, {17,24}, {7,41}, {8,33}, {18,38}, {3,40}, {12,34}, {10,39}, {7,29}, {4,43}, {5,19}, {7,20}, {18,25}, {14,45}, {16,29}, {15,45}, {2,34}, {14,26}, {2,40}, {2,35}, {17,33}, {14,44}, {1,35}, {11,26}, {18,27}, {15,26}, {12,23}, {11,41}, {16,27}, {5,45}, {18,28}, {14,31}, {8,38}, {2,39}, {5,20}, {4,22}, {3,28}, {12,36}, {8,20}, {6,20}, {18,29}, {11,30}, {13,21}, {3,39}, {1,37}, {10,42}, {15,27}, {16,28}, {9,29}, {13,23}, {17,38}, {12,41}, {2,25}, {18,31}, {9,41}, {3,37}, {17,32}, {6,35}, {13,31}, {10,26}, {5,44}, {16,32}, {7,36}, {1,30}, {15,24}, {4,19}, {17,25}, {9,22}, {16,24} }; // ETB45.15 (= ET45.20) // Bipartite(18,27) Valencies [6,4] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 92876046336 EdgesBipt[45][15]:={ {10,19}, {13,25}, {9,40}, {7,39}, {2,38}, {18,40}, {12,39}, {12,19}, {9,42}, {4,27}, {16,30}, {11,29}, {2,20}, {15,44}, {18,42}, {13,34}, {16,23}, {13,27}, {1,44}, {11,38}, {10,44}, {3,30}, {13,43}, {17,43}, {7,23}, {8,34}, {9,31}, {14,20}, {16,41}, {8,41}, {2,29}, {11,45}, {3,19}, {18,24}, {12,21}, {12,30}, {16,21}, {17,23}, {7,41}, {18,33}, {6,33}, {2,36}, {4,43}, {10,37}, {15,35}, {13,45}, {14,38}, {4,45}, {5,29}, {6,26}, {1,19}, {12,28}, {4,36}, {7,30}, {15,33}, {4,25}, {1,35}, {1,26}, {15,26}, {9,33}, {5,22}, {11,36}, {2,27}, {5,38}, {15,42}, {14,22}, {10,28}, {14,31}, {8,43}, {8,32}, {5,20}, {3,28}, {5,31}, {9,24}, {8,23}, {3,21}, {11,27}, {6,42}, {3,39}, {17,34}, {1,37}, {17,41}, {8,25}, {7,32}, {13,36}, {11,20}, {7,21}, {14,29}, {14,40}, {1,28}, {18,31}, {3,37}, {6,24}, {6,35}, {17,32}, {18,22}, {10,26}, {6,44}, {4,34}, {10,35}, {16,32}, {12,37}, {16,39}, {15,24}, {5,40}, {17,25}, {2,45}, {9,22} }; // ETB45.16 (= ET45.21) // Bipartite(18,27) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 725594112 EdgesBipt[45][16]:={ {11,43}, {7,19}, {7,42}, {5,32}, {12,26}, {2,38}, {11,23}, {9,30}, {3,29}, {3,38}, {6,36}, {10,27}, {18,39}, {8,36}, {7,24}, {2,20}, {4,40}, {12,40}, {7,33}, {12,31}, {15,44}, {12,22}, {5,41}, {2,33}, {6,25}, {9,39}, {16,23}, {1,44}, {9,21}, {10,44}, {17,42}, {18,21}, {6,45}, {3,34}, {16,41}, {10,45}, {16,33}, {6,34}, {8,41}, {2,29}, {14,27}, {5,37}, {7,28}, {6,43}, {11,34}, {15,39}, {17,31}, {9,38}, {5,23}, {4,20}, {10,36}, {17,24}, {4,29}, {5,19}, {18,25}, {14,45}, {15,35}, {4,31}, {2,42}, {18,34}, {1,19}, {17,33}, {5,28}, {13,30}, {12,35}, {1,35}, {1,26}, {15,26}, {4,38}, {2,24}, {11,41}, {17,22}, {14,36}, {15,21}, {12,44}, {14,22}, {8,27}, {14,31}, {8,32}, {4,22}, {11,25}, {13,28}, {8,23}, {18,43}, {13,21}, {1,37}, {11,32}, {18,30}, {9,29}, {3,25}, {8,45}, {7,37}, {3,20}, {16,42}, {14,40}, {1,28}, {10,26}, {3,43}, {6,27}, {10,35}, {13,19}, {13,37}, {15,30}, {16,32}, {17,40}, {9,20}, {13,39}, {16,24} }; // ETB45.17 (= ET45.22) // Bipartite(18,27) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 663552 EdgesBipt[45][17]:={ {10,19}, {7,42}, {7,39}, {15,23}, {8,39}, {8,24}, {17,39}, {15,43}, {2,22}, {17,27}, {5,42}, {3,38}, {11,33}, {5,35}, {6,23}, {17,19}, {7,38}, {1,25}, {12,40}, {2,33}, {1,44}, {9,21}, {10,44}, {3,30}, {14,42}, {1,32}, {11,22}, {13,43}, {12,27}, {14,35}, {18,21}, {8,34}, {15,29}, {2,28}, {9,31}, {14,20}, {12,25}, {6,34}, {13,20}, {15,28}, {18,24}, {17,45}, {12,30}, {6,43}, {5,23}, {15,34}, {4,20}, {2,41}, {13,33}, {17,24}, {7,26}, {10,25}, {3,40}, {4,33}, {10,41}, {7,29}, {16,26}, {4,43}, {10,37}, {13,45}, {6,37}, {4,45}, {16,29}, {11,28}, {3,27}, {4,30}, {1,19}, {2,40}, {4,36}, {14,44}, {12,35}, {13,30}, {8,19}, {6,29}, {11,41}, {12,38}, {18,32}, {3,35}, {2,21}, {8,27}, {14,31}, {14,23}, {5,20}, {11,40}, {5,31}, {15,37}, {9,24}, {16,22}, {11,21}, {9,26}, {1,41}, {17,34}, {1,37}, {7,22}, {3,25}, {10,32}, {8,45}, {13,36}, {16,42}, {18,31}, {18,36}, {9,32}, {16,38}, {9,36}, {5,44}, {16,39}, {18,26}, {6,28} }; // ETB45.18 (= ET45.26) // Bipartite(9,36) Valencies [8,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 362880 EdgesBipt[45][18]:={ {2,11}, {5,12}, {5,33}, {4,13}, {8,19}, {8,28}, {6,39}, {5,24}, {1,29}, {1,30}, {9,25}, {4,44}, {7,23}, {2,10}, {7,31}, {1,37}, {1,10}, {6,14}, {5,43}, {2,43}, {2,40}, {4,40}, {3,38}, {9,15}, {1,20}, {2,36}, {9,11}, {2,45}, {6,36}, {9,32}, {5,16}, {8,27}, {1,38}, {4,12}, {7,32}, {1,15}, {3,16}, {6,20}, {8,42}, {4,21}, {9,27}, {9,33}, {8,13}, {3,14}, {3,18}, {3,31}, {4,17}, {5,30}, {3,26}, {7,21}, {8,35}, {8,41}, {7,19}, {3,34}, {6,22}, {9,18}, {1,42}, {3,41}, {6,25}, {7,39}, {2,23}, {5,35}, {2,34}, {4,26}, {6,28}, {7,37}, {8,45}, {6,44}, {5,22}, {7,24}, {9,17}, {4,29} }; // ETB45.19 (= ET45.27) // Bipartite(9,36) Valencies [8,2] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 47552535724032 EdgesBipt[45][19]:={ {2,11}, {1,26}, {1,44}, {3,12}, {4,36}, {6,33}, {2,29}, {5,29}, {4,34}, {7,23}, {7,41}, {9,31}, {1,37}, {7,12}, {8,16}, {8,23}, {1,10}, {6,26}, {3,21}, {5,40}, {8,25}, {5,11}, {4,43}, {9,15}, {2,36}, {3,37}, {2,45}, {4,16}, {6,15}, {7,30}, {8,32}, {5,20}, {8,43}, {4,18}, {7,32}, {5,31}, {9,24}, {2,20}, {3,28}, {4,45}, {9,40}, {5,38}, {2,38}, {2,18}, {4,27}, {9,33}, {3,19}, {3,30}, {9,42}, {6,42}, {7,21}, {8,34}, {8,41}, {9,13}, {2,27}, {1,17}, {4,25}, {3,39}, {9,22}, {1,28}, {6,35}, {6,17}, {7,39}, {8,14}, {5,13}, {1,19}, {1,35}, {7,14}, {6,44}, {5,22}, {6,24}, {3,10} }; // ETB45.20 (= ET45.28) // Bipartite(9,36) Valencies [8,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18874368 EdgesBipt[45][20]:={ {2,11}, {3,22}, {4,13}, {8,19}, {3,40}, {8,28}, {4,39}, {5,32}, {4,23}, {9,19}, {1,14}, {6,34}, {9,23}, {4,41}, {2,30}, {2,29}, {4,44}, {1,32}, {7,12}, {1,40}, {1,10}, {6,26}, {5,43}, {8,21}, {3,42}, {3,27}, {9,15}, {2,36}, {4,31}, {8,24}, {6,43}, {3,24}, {7,33}, {2,12}, {9,37}, {7,30}, {7,45}, {6,16}, {8,10}, {5,20}, {7,27}, {8,37}, {5,25}, {2,31}, {1,16}, {5,38}, {8,42}, {2,18}, {4,21}, {9,33}, {5,17}, {7,15}, {3,18}, {9,41}, {7,38}, {9,35}, {7,20}, {3,45}, {1,28}, {5,14}, {6,25}, {5,35}, {6,11}, {4,26}, {1,22}, {2,13}, {1,34}, {6,29}, {6,44}, {9,17}, {3,36}, {8,39} }; // ETB45.21 (= ET45.29) // Bipartite(15,30) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[45][21]:={ {13,41}, {7,39}, {15,23}, {8,31}, {8,24}, {12,26}, {10,22}, {9,30}, {12,19}, {14,34}, {3,29}, {11,33}, {1,31}, {6,17}, {12,16}, {11,29}, {10,38}, {2,20}, {13,24}, {11,42}, {14,18}, {12,40}, {15,44}, {7,31}, {9,39}, {6,25}, {7,27}, {15,40}, {1,44}, {9,21}, {10,44}, {12,18}, {14,42}, {13,42}, {6,45}, {3,31}, {2,19}, {5,26}, {9,17}, {6,22}, {5,21}, {10,23}, {15,28}, {2,29}, {5,37}, {8,44}, {7,28}, {6,43}, {11,34}, {13,16}, {9,38}, {4,20}, {2,41}, {4,39}, {15,25}, {1,22}, {2,32}, {6,33}, {1,16}, {12,34}, {2,17}, {10,37}, {8,35}, {14,43}, {15,20}, {4,45}, {8,17}, {11,28}, {3,27}, {4,30}, {14,26}, {11,37}, {13,40}, {7,35}, {4,38}, {3,42}, {5,22}, {5,38}, {15,21}, {2,21}, {12,43}, {5,27}, {10,28}, {8,43}, {14,23}, {12,36}, {6,16}, {9,18}, {4,32}, {3,39}, {11,32}, {15,27}, {4,18}, {8,25}, {7,32}, {9,29}, {13,23}, {13,36}, {1,33}, {3,36}, {9,41}, {10,20}, {14,41}, {3,37}, {6,35}, {8,30}, {10,26}, {7,34}, {3,33}, {1,45}, {13,19}, {7,36}, {1,30}, {11,35}, {5,25}, {4,19}, {14,24}, {5,40}, {1,24}, {2,45} }; // ETB45.22 (= ET45.30) // Bipartite(15,30) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[45][22]:={ {4,35}, {11,43}, {7,39}, {13,29}, {14,25}, {6,18}, {2,22}, {6,17}, {12,16}, {10,27}, {5,35}, {7,24}, {10,38}, {2,20}, {13,24}, {7,38}, {1,25}, {14,18}, {7,33}, {15,44}, {12,22}, {10,40}, {2,33}, {6,32}, {7,45}, {9,21}, {11,16}, {4,44}, {12,27}, {3,31}, {5,26}, {9,17}, {15,32}, {15,28}, {10,30}, {3,18}, {8,22}, {12,21}, {11,34}, {1,34}, {14,33}, {9,38}, {5,33}, {5,23}, {4,37}, {15,34}, {2,23}, {1,36}, {13,26}, {3,40}, {1,16}, {9,34}, {4,28}, {15,36}, {7,25}, {3,22}, {4,43}, {5,43}, {5,19}, {10,24}, {8,35}, {14,45}, {8,26}, {13,35}, {2,42}, {3,27}, {2,40}, {7,30}, {14,44}, {13,30}, {10,29}, {11,37}, {11,26}, {8,40}, {6,29}, {14,32}, {6,31}, {11,41}, {3,42}, {15,21}, {15,31}, {1,23}, {6,30}, {5,45}, {8,27}, {11,19}, {1,39}, {6,38}, {14,31}, {2,39}, {8,43}, {14,23}, {3,28}, {9,24}, {12,36}, {8,20}, {15,16}, {11,21}, {1,41}, {3,44}, {4,32}, {10,42}, {12,42}, {4,18}, {9,29}, {13,17}, {12,41}, {2,25}, {8,37}, {10,20}, {9,41}, {9,36}, {1,45}, {13,19}, {13,37}, {7,17}, {5,39}, {12,20}, {4,19}, {6,28} }; // ETB45.23 (= ET45.31) // Bipartite(15,30) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[45][23]:={ {14,39}, {7,42}, {13,41}, {10,21}, {13,29}, {8,31}, {12,39}, {9,30}, {6,36}, {11,33}, {13,18}, {5,35}, {7,24}, {9,45}, {10,38}, {11,29}, {4,40}, {4,16}, {12,17}, {10,40}, {1,38}, {5,41}, {2,33}, {12,33}, {9,39}, {6,25}, {11,16}, {10,44}, {11,38}, {3,30}, {13,42}, {7,23}, {6,45}, {14,20}, {2,18}, {8,41}, {15,28}, {3,19}, {11,45}, {1,29}, {8,22}, {12,21}, {11,34}, {1,34}, {2,23}, {1,36}, {14,16}, {6,33}, {1,16}, {10,41}, {8,18}, {2,17}, {4,28}, {3,22}, {10,37}, {14,45}, {15,20}, {15,35}, {4,31}, {3,27}, {2,34}, {4,30}, {6,26}, {1,19}, {4,36}, {13,30}, {1,26}, {2,44}, {12,24}, {15,26}, {3,42}, {6,19}, {5,38}, {15,21}, {2,43}, {12,43}, {14,22}, {5,27}, {8,27}, {10,28}, {7,18}, {14,31}, {2,39}, {7,44}, {8,43}, {14,23}, {5,20}, {9,28}, {5,17}, {15,37}, {11,25}, {4,32}, {12,42}, {15,27}, {8,25}, {3,25}, {7,32}, {15,17}, {7,21}, {12,32}, {14,40}, {3,37}, {6,24}, {6,35}, {9,32}, {10,26}, {3,43}, {9,36}, {13,31}, {5,44}, {13,19}, {7,34}, {13,37}, {4,23}, {11,35}, {5,40}, {9,20}, {1,24}, {8,29}, {9,22} }; // ETB45.24 (= ET45.32) // Bipartite(15,30) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[45][24]:={ {10,19}, {14,39}, {7,42}, {10,21}, {12,26}, {2,38}, {11,23}, {6,36}, {13,18}, {4,27}, {7,40}, {10,27}, {11,29}, {10,38}, {1,40}, {13,24}, {5,34}, {14,18}, {4,16}, {12,22}, {12,33}, {6,25}, {15,40}, {1,44}, {9,21}, {11,38}, {4,44}, {14,42}, {1,32}, {9,37}, {8,42}, {14,35}, {7,23}, {8,34}, {3,45}, {13,38}, {15,29}, {14,20}, {5,26}, {9,17}, {15,28}, {3,19}, {11,45}, {5,37}, {8,22}, {3,41}, {12,30}, {1,34}, {6,43}, {5,23}, {15,22}, {2,41}, {2,31}, {9,43}, {2,16}, {15,25}, {2,32}, {3,40}, {1,16}, {2,17}, {7,25}, {10,24}, {14,45}, {8,26}, {15,35}, {4,31}, {4,30}, {6,26}, {10,33}, {11,18}, {2,35}, {13,30}, {4,25}, {11,37}, {12,24}, {14,32}, {9,33}, {11,41}, {6,19}, {2,43}, {12,44}, {14,22}, {8,27}, {1,39}, {7,18}, {8,43}, {5,20}, {9,28}, {8,16}, {5,17}, {5,31}, {13,28}, {6,20}, {3,21}, {11,27}, {3,44}, {10,42}, {15,41}, {9,29}, {10,32}, {13,36}, {3,20}, {7,21}, {1,33}, {1,28}, {3,17}, {6,35}, {6,24}, {9,36}, {13,31}, {7,34}, {15,30}, {7,36}, {4,23}, {12,37}, {5,39}, {4,19}, {12,45}, {8,29}, {13,39} }; // ETB45.25 (= ET45.33) // Bipartite(15,30) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11796480 EdgesBipt[45][25]:={ {11,43}, {7,42}, {10,21}, {13,29}, {11,17}, {8,31}, {11,23}, {6,18}, {12,39}, {15,43}, {5,42}, {5,30}, {1,31}, {7,40}, {6,23}, {2,20}, {4,40}, {13,24}, {5,34}, {10,40}, {7,31}, {12,33}, {7,27}, {9,19}, {1,44}, {9,21}, {12,18}, {10,44}, {11,38}, {14,42}, {11,22}, {9,37}, {12,27}, {14,35}, {2,28}, {3,34}, {14,20}, {4,26}, {15,28}, {3,19}, {14,27}, {1,29}, {3,18}, {12,21}, {1,34}, {5,23}, {13,44}, {10,36}, {2,31}, {8,33}, {4,39}, {10,25}, {2,16}, {6,33}, {3,40}, {1,16}, {8,18}, {9,34}, {15,36}, {7,25}, {5,19}, {13,45}, {8,17}, {11,28}, {15,45}, {14,26}, {1,19}, {2,35}, {13,30}, {4,25}, {10,29}, {1,26}, {11,37}, {13,22}, {6,29}, {12,24}, {15,26}, {4,38}, {14,32}, {2,24}, {5,38}, {14,17}, {15,21}, {2,43}, {5,27}, {5,45}, {9,35}, {6,38}, {2,39}, {8,32}, {3,28}, {8,16}, {12,36}, {7,16}, {6,20}, {10,17}, {1,41}, {12,42}, {11,32}, {7,22}, {15,41}, {3,25}, {10,32}, {8,45}, {7,37}, {14,41}, {6,35}, {8,30}, {9,36}, {3,43}, {6,44}, {4,41}, {3,33}, {13,37}, {15,30}, {4,23}, {4,24}, {9,20}, {9,22}, {13,39} }; // ETB45.26 (= ET45.34) // Bipartite(15,30) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1966080 EdgesBipt[45][26]:={ {4,35}, {7,19}, {11,43}, {7,42}, {7,39}, {13,29}, {14,25}, {11,23}, {5,42}, {5,30}, {1,31}, {6,17}, {8,36}, {7,24}, {10,43}, {2,20}, {13,24}, {12,40}, {15,44}, {10,40}, {6,32}, {9,39}, {7,27}, {9,19}, {13,27}, {1,44}, {9,21}, {11,16}, {11,38}, {13,42}, {14,35}, {15,29}, {9,31}, {14,20}, {12,25}, {10,45}, {3,31}, {6,34}, {8,41}, {10,18}, {6,22}, {10,30}, {5,37}, {1,29}, {3,18}, {1,34}, {15,39}, {4,20}, {13,44}, {8,33}, {10,25}, {2,32}, {1,16}, {8,21}, {8,18}, {2,17}, {4,33}, {9,34}, {15,36}, {8,26}, {6,37}, {4,45}, {11,28}, {2,42}, {4,30}, {10,33}, {1,19}, {12,28}, {2,35}, {12,35}, {1,26}, {11,26}, {6,29}, {15,26}, {4,38}, {12,23}, {14,32}, {11,41}, {5,22}, {12,38}, {2,27}, {6,19}, {14,17}, {15,21}, {12,43}, {14,22}, {5,27}, {5,45}, {10,28}, {8,38}, {13,32}, {14,37}, {3,28}, {11,31}, {9,24}, {8,23}, {3,21}, {1,41}, {7,22}, {3,16}, {4,18}, {15,41}, {7,37}, {13,17}, {14,40}, {3,36}, {9,36}, {3,43}, {6,44}, {9,16}, {7,34}, {3,33}, {4,23}, {2,30}, {12,20}, {15,24}, {5,25}, {5,40}, {2,45}, {13,39} }; // ETB45.27 (= ET45.35) // Bipartite(21,24) Valencies [8,7] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[45][27]:={ {2,44}, {13,32}, {9,28}, {16,33}, {4,26}, {17,38}, {12,45}, {18,32}, {8,30}, {16,40}, {2,23}, {9,45}, {5,38}, {12,22}, {12,32}, {15,31}, {4,29}, {1,32}, {3,43}, {1,40}, {17,34}, {15,44}, {12,42}, {3,37}, {17,24}, {21,43}, {8,25}, {2,41}, {18,41}, {5,32}, {16,23}, {14,28}, {9,35}, {8,44}, {4,23}, {13,29}, {12,37}, {6,22}, {18,42}, {10,30}, {19,28}, {3,34}, {2,25}, {14,23}, {11,33}, {6,40}, {14,33}, {2,36}, {10,38}, {19,40}, {17,37}, {14,36}, {19,30}, {9,27}, {15,40}, {8,41}, {2,38}, {19,22}, {7,39}, {4,42}, {7,32}, {10,41}, {7,43}, {20,31}, {2,35}, {11,44}, {1,22}, {15,27}, {6,30}, {6,43}, {21,26}, {10,31}, {13,22}, {18,30}, {7,26}, {6,33}, {18,43}, {11,29}, {20,44}, {15,35}, {5,24}, {9,37}, {17,27}, {12,28}, {12,25}, {14,42}, {1,45}, {15,34}, {8,22}, {13,25}, {1,28}, {3,27}, {14,37}, {1,33}, {3,26}, {21,33}, {21,38}, {18,31}, {7,31}, {10,43}, {1,24}, {12,23}, {13,24}, {11,24}, {5,31}, {11,39}, {8,40}, {20,23}, {20,39}, {21,29}, {1,39}, {18,25}, {17,29}, {20,25}, {16,44}, {19,45}, {6,41}, {6,28}, {5,39}, {20,35}, {4,37}, {11,26}, {10,35}, {16,36}, {6,36}, {3,30}, {8,34}, {2,29}, {16,35}, {10,27}, {4,34}, {10,36}, {18,22}, {13,41}, {20,42}, {11,40}, {9,36}, {14,43}, {5,27}, {3,42}, {16,39}, {13,38}, {9,38}, {4,25}, {17,45}, {5,45}, {21,36}, {7,24}, {15,39}, {3,31}, {17,26}, {7,33}, {11,34}, {21,24}, {13,45}, {15,30}, {19,34}, {5,35}, {21,41}, {16,28}, {7,42}, {9,23}, {4,44}, {19,37}, {20,32}, {8,29}, {19,27}, {14,26} }; // ETB45.28 (= ET45.43) // Bipartite(18,27) Valencies [9,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3888 EdgesBipt[45][28]:={ {16,41}, {2,24}, {13,32}, {2,33}, {17,35}, {18,39}, {5,34}, {16,26}, {15,24}, {18,29}, {4,26}, {17,38}, {18,32}, {4,30}, {11,25}, {16,27}, {2,23}, {9,45}, {12,32}, {7,38}, {8,28}, {16,31}, {15,31}, {3,45}, {8,33}, {3,43}, {3,25}, {10,23}, {12,38}, {7,44}, {14,38}, {12,39}, {10,33}, {12,42}, {1,19}, {3,37}, {2,26}, {1,21}, {17,24}, {12,35}, {7,36}, {15,43}, {18,21}, {1,30}, {5,32}, {14,28}, {9,35}, {8,27}, {2,42}, {6,22}, {18,42}, {6,29}, {15,29}, {4,38}, {6,31}, {2,34}, {7,20}, {17,37}, {14,21}, {12,36}, {4,41}, {14,40}, {9,41}, {15,26}, {10,41}, {11,22}, {7,43}, {2,35}, {17,33}, {11,44}, {1,22}, {3,44}, {4,33}, {5,23}, {10,29}, {9,34}, {13,22}, {2,20}, {1,29}, {3,32}, {11,21}, {9,25}, {13,33}, {18,43}, {6,24}, {13,44}, {17,30}, {11,30}, {12,28}, {15,37}, {8,22}, {1,28}, {14,41}, {3,27}, {4,43}, {10,45}, {8,37}, {15,36}, {8,26}, {12,26}, {16,22}, {10,43}, {17,28}, {8,32}, {11,24}, {8,40}, {1,39}, {18,25}, {5,36}, {17,19}, {16,44}, {6,28}, {18,23}, {9,30}, {13,42}, {14,20}, {16,34}, {14,25}, {6,42}, {4,40}, {16,36}, {13,19}, {11,37}, {10,27}, {6,45}, {16,20}, {6,25}, {2,40}, {11,40}, {5,27}, {9,39}, {10,19}, {17,45}, {3,38}, {15,23}, {14,35}, {1,41}, {7,24}, {3,31}, {18,40}, {10,20}, {12,31}, {13,34}, {11,34}, {5,19}, {6,20}, {13,39}, {5,21}, {13,45}, {15,30}, {5,35}, {9,31}, {5,37}, {7,19}, {4,39}, {7,42}, {9,23}, {4,44}, {14,27}, {7,21}, {8,29}, {1,36} }; // ETB45.29 (= ET45.44) // Bipartite(18,27) Valencies [9,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[45][29]:={ {16,41}, {10,25}, {9,28}, {6,32}, {11,36}, {18,39}, {4,27}, {12,29}, {5,34}, {16,26}, {4,30}, {16,27}, {8,30}, {14,39}, {8,43}, {9,45}, {12,22}, {18,38}, {3,45}, {3,43}, {10,26}, {17,34}, {16,19}, {9,44}, {14,38}, {2,19}, {12,41}, {15,44}, {2,27}, {5,20}, {8,39}, {7,34}, {1,21}, {17,24}, {12,35}, {1,30}, {2,42}, {15,25}, {18,42}, {10,30}, {6,29}, {6,21}, {3,34}, {2,25}, {6,40}, {6,31}, {2,36}, {4,22}, {10,38}, {9,29}, {8,19}, {7,20}, {17,37}, {14,21}, {15,32}, {18,20}, {12,20}, {15,40}, {4,41}, {2,37}, {4,42}, {9,41}, {1,31}, {4,45}, {7,25}, {14,24}, {10,28}, {2,35}, {17,33}, {11,44}, {1,22}, {3,44}, {6,43}, {5,23}, {10,31}, {3,20}, {15,19}, {10,40}, {12,43}, {17,43}, {13,31}, {3,32}, {11,21}, {7,26}, {6,33}, {18,44}, {16,32}, {13,43}, {1,23}, {17,30}, {5,24}, {8,22}, {15,34}, {8,35}, {13,28}, {1,28}, {1,33}, {10,45}, {3,26}, {8,37}, {5,28}, {13,36}, {18,31}, {16,22}, {7,31}, {12,33}, {13,30}, {12,27}, {9,40}, {8,32}, {1,24}, {12,23}, {11,24}, {17,25}, {11,39}, {1,39}, {17,29}, {18,23}, {13,42}, {16,21}, {14,45}, {16,36}, {6,36}, {11,37}, {2,29}, {8,38}, {15,22}, {11,32}, {15,33}, {13,41}, {6,38}, {2,40}, {9,36}, {5,26}, {10,19}, {4,25}, {17,45}, {3,38}, {7,27}, {15,23}, {14,35}, {13,37}, {3,41}, {9,24}, {18,40}, {7,33}, {11,34}, {5,19}, {13,20}, {5,35}, {5,37}, {11,42}, {4,39}, {16,28}, {18,35}, {7,42}, {9,23}, {4,44}, {14,27}, {7,21}, {14,29}, {14,26} }; // ETB45.30 (= ET45.45) // Bipartite(18,27) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33853318889472 EdgesBipt[45][30]:={ {2,44}, {3,33}, {16,41}, {1,20}, {11,36}, {17,36}, {12,29}, {13,21}, {5,34}, {15,24}, {18,29}, {3,22}, {3,40}, {10,37}, {11,25}, {8,30}, {16,40}, {14,39}, {7,38}, {16,31}, {18,38}, {15,31}, {10,23}, {12,38}, {17,34}, {16,19}, {4,19}, {9,44}, {4,31}, {15,44}, {1,19}, {12,42}, {2,27}, {3,35}, {2,26}, {8,39}, {11,41}, {1,21}, {12,34}, {1,30}, {5,32}, {16,23}, {9,35}, {8,44}, {4,23}, {8,27}, {13,29}, {18,34}, {10,22}, {18,42}, {6,29}, {2,45}, {1,38}, {2,36}, {4,22}, {7,20}, {14,21}, {14,36}, {9,26}, {18,20}, {12,20}, {15,40}, {4,41}, {5,43}, {14,30}, {8,45}, {7,39}, {5,25}, {2,39}, {15,26}, {17,23}, {10,41}, {10,28}, {2,35}, {3,44}, {6,43}, {5,23}, {10,31}, {15,42}, {9,42}, {16,37}, {10,40}, {12,43}, {17,43}, {1,29}, {7,30}, {8,36}, {6,33}, {18,43}, {16,32}, {11,23}, {6,24}, {15,35}, {17,27}, {12,25}, {18,24}, {8,35}, {13,28}, {1,28}, {4,28}, {18,33}, {3,26}, {8,26}, {16,22}, {9,22}, {12,33}, {13,30}, {5,41}, {9,40}, {8,21}, {17,25}, {1,39}, {10,32}, {18,25}, {5,36}, {17,41}, {7,29}, {1,37}, {7,28}, {4,37}, {6,42}, {14,45}, {4,40}, {13,19}, {2,21}, {3,24}, {11,27}, {14,44}, {15,22}, {11,32}, {15,33}, {6,25}, {6,38}, {9,33}, {6,34}, {5,27}, {3,42}, {13,38}, {10,19}, {17,45}, {11,45}, {12,24}, {14,35}, {13,37}, {5,45}, {3,31}, {9,24}, {11,34}, {6,20}, {13,39}, {11,43}, {2,30}, {13,20}, {7,37}, {9,31}, {7,19}, {17,32}, {16,28}, {14,27}, {7,21}, {4,32}, {14,26} }; // ETB45.31 (= ET45.46) // Bipartite(18,27) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 557256278016 EdgesBipt[45][31]:={ {2,44}, {3,33}, {10,25}, {11,20}, {4,27}, {13,21}, {11,35}, {5,34}, {4,24}, {16,26}, {17,38}, {10,37}, {18,32}, {4,30}, {14,39}, {2,23}, {9,45}, {5,38}, {12,32}, {8,42}, {15,31}, {8,33}, {7,44}, {1,40}, {17,20}, {16,19}, {14,38}, {12,41}, {15,44}, {1,19}, {12,42}, {5,20}, {9,43}, {3,37}, {2,26}, {17,24}, {11,41}, {2,41}, {18,41}, {17,40}, {8,31}, {12,37}, {18,34}, {10,22}, {6,22}, {16,30}, {15,45}, {11,38}, {6,40}, {6,31}, {14,21}, {9,32}, {9,27}, {15,40}, {5,29}, {2,38}, {5,43}, {14,30}, {7,39}, {4,42}, {9,41}, {5,25}, {15,26}, {1,31}, {4,45}, {10,28}, {2,35}, {17,33}, {11,44}, {1,22}, {15,27}, {4,33}, {4,21}, {10,31}, {9,34}, {2,20}, {16,37}, {10,40}, {7,30}, {3,32}, {9,25}, {13,33}, {2,32}, {7,26}, {18,43}, {11,23}, {11,29}, {5,30}, {6,44}, {15,35}, {12,28}, {8,22}, {1,28}, {18,27}, {18,36}, {1,43}, {15,36}, {13,36}, {17,31}, {12,33}, {13,30}, {10,43}, {4,36}, {3,19}, {12,23}, {13,24}, {6,27}, {12,19}, {8,40}, {6,26}, {14,34}, {3,23}, {18,25}, {17,29}, {1,25}, {16,44}, {18,23}, {13,27}, {13,42}, {14,20}, {1,37}, {14,25}, {5,39}, {16,21}, {7,28}, {11,26}, {6,36}, {3,24}, {2,29}, {16,35}, {6,45}, {8,38}, {10,34}, {15,22}, {11,32}, {8,24}, {9,36}, {14,43}, {18,45}, {3,42}, {16,39}, {10,19}, {12,24}, {8,20}, {3,28}, {3,41}, {17,42}, {7,35}, {13,39}, {17,22}, {5,21}, {13,45}, {7,37}, {1,34}, {7,19}, {6,35}, {4,39}, {16,28}, {9,23}, {7,21}, {8,29}, {14,29} }; // ETB45.32 (= ET45.47) // Bipartite(18,27) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1088391168 EdgesBipt[45][32]:={ {10,24}, {9,28}, {17,35}, {17,44}, {11,36}, {18,39}, {12,29}, {11,35}, {13,40}, {16,33}, {15,24}, {4,26}, {3,22}, {3,40}, {2,23}, {8,43}, {12,22}, {5,38}, {7,38}, {8,28}, {3,45}, {3,43}, {3,25}, {10,23}, {12,38}, {1,40}, {16,19}, {4,19}, {10,33}, {1,19}, {5,20}, {9,43}, {14,31}, {11,41}, {12,35}, {18,21}, {8,25}, {2,41}, {17,40}, {4,23}, {13,29}, {18,34}, {16,30}, {15,29}, {6,21}, {3,34}, {2,25}, {14,33}, {2,34}, {8,19}, {7,20}, {17,37}, {14,36}, {15,32}, {16,24}, {12,20}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {12,44}, {14,40}, {7,39}, {1,31}, {10,41}, {14,24}, {11,44}, {1,22}, {6,30}, {9,34}, {13,22}, {15,42}, {2,20}, {16,37}, {7,30}, {13,31}, {18,30}, {4,35}, {9,25}, {15,41}, {2,32}, {18,43}, {11,23}, {13,43}, {5,30}, {6,44}, {9,37}, {14,42}, {13,25}, {15,20}, {10,42}, {1,28}, {18,27}, {3,27}, {18,36}, {4,28}, {1,33}, {10,45}, {8,37}, {17,31}, {12,26}, {17,28}, {8,32}, {1,42}, {1,24}, {14,22}, {6,27}, {5,44}, {6,26}, {12,40}, {8,23}, {10,32}, {18,25}, {17,19}, {7,29}, {9,30}, {1,37}, {16,21}, {5,39}, {4,37}, {11,26}, {14,45}, {6,36}, {8,34}, {2,29}, {11,27}, {10,27}, {6,45}, {10,36}, {11,32}, {15,33}, {16,42}, {15,38}, {5,26}, {18,45}, {16,39}, {9,39}, {13,38}, {11,45}, {15,23}, {7,24}, {3,31}, {17,26}, {6,39}, {7,33}, {12,31}, {13,34}, {17,22}, {5,21}, {13,20}, {5,35}, {2,43}, {6,35}, {9,21}, {3,36}, {16,28}, {7,42}, {4,44}, {14,27}, {7,21}, {4,32} }; // ETB45.33 (= ET45.48) // Bipartite(18,27) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 663552 EdgesBipt[45][33]:={ {10,19}, {7,19}, {13,25}, {5,32}, {6,39}, {18,41}, {12,26}, {2,38}, {10,22}, {15,43}, {18,44}, {11,33}, {4,27}, {10,27}, {18,39}, {8,36}, {5,35}, {7,24}, {9,45}, {2,20}, {11,42}, {1,25}, {12,40}, {12,31}, {5,24}, {5,41}, {2,33}, {6,32}, {17,35}, {7,31}, {9,39}, {16,23}, {13,27}, {9,21}, {11,38}, {1,32}, {16,20}, {14,35}, {7,23}, {18,21}, {8,34}, {3,45}, {6,45}, {3,34}, {9,31}, {3,31}, {17,44}, {8,41}, {15,32}, {13,20}, {10,23}, {1,29}, {8,44}, {7,28}, {6,43}, {1,34}, {15,39}, {16,21}, {17,30}, {10,34}, {4,20}, {13,33}, {7,26}, {9,43}, {4,39}, {10,25}, {1,22}, {6,33}, {3,40}, {12,34}, {4,33}, {16,26}, {16,19}, {5,43}, {10,37}, {14,28}, {7,20}, {8,35}, {14,38}, {14,43}, {6,37}, {3,23}, {5,29}, {15,45}, {2,42}, {4,30}, {1,19}, {2,40}, {4,36}, {4,21}, {2,35}, {15,33}, {5,28}, {13,30}, {4,25}, {10,29}, {11,26}, {8,40}, {17,36}, {12,23}, {14,32}, {2,24}, {3,42}, {5,22}, {9,44}, {5,38}, {12,44}, {1,23}, {15,42}, {14,22}, {18,28}, {6,38}, {9,28}, {11,40}, {3,26}, {15,37}, {16,22}, {18,43}, {11,30}, {3,44}, {6,42}, {13,21}, {17,34}, {1,37}, {1,27}, {12,42}, {7,22}, {15,27}, {17,41}, {16,28}, {8,25}, {17,29}, {2,26}, {10,32}, {13,36}, {15,38}, {18,45}, {7,21}, {11,20}, {14,29}, {18,31}, {9,41}, {14,41}, {18,36}, {3,37}, {8,30}, {9,36}, {6,27}, {13,19}, {17,40}, {11,24}, {11,35}, {12,37}, {16,31}, {2,30}, {4,19}, {14,24}, {12,45}, {17,25}, {8,29}, {13,39}, {16,24} }; // ETB45.34 (= ET45.49) // Bipartite(15,30) Valencies [10,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2149908480000000 EdgesBipt[45][34]:={ {2,24}, {11,20}, {13,32}, {12,29}, {4,24}, {12,45}, {4,30}, {2,23}, {8,43}, {8,28}, {3,43}, {3,25}, {1,40}, {14,38}, {4,19}, {9,44}, {12,39}, {7,22}, {4,31}, {12,41}, {15,44}, {10,33}, {3,35}, {3,37}, {7,34}, {12,35}, {7,36}, {8,25}, {2,41}, {8,31}, {2,42}, {10,22}, {11,28}, {3,17}, {8,16}, {15,45}, {6,21}, {14,23}, {11,38}, {6,31}, {1,17}, {2,36}, {8,19}, {9,32}, {12,17}, {15,32}, {9,26}, {4,42}, {15,26}, {11,22}, {10,28}, {2,35}, {11,44}, {1,22}, {15,27}, {6,43}, {10,21}, {9,42}, {10,40}, {1,29}, {7,30}, {13,31}, {7,16}, {6,33}, {5,18}, {13,43}, {1,23}, {13,44}, {5,30}, {5,24}, {8,22}, {13,25}, {15,20}, {9,20}, {1,28}, {14,41}, {4,43}, {10,45}, {3,29}, {8,37}, {5,42}, {12,33}, {2,17}, {4,36}, {12,27}, {14,17}, {3,19}, {12,23}, {6,27}, {8,40}, {3,23}, {5,36}, {6,19}, {9,30}, {10,39}, {1,35}, {14,20}, {15,21}, {5,39}, {7,28}, {4,37}, {11,26}, {13,26}, {11,16}, {13,19}, {8,34}, {5,33}, {9,18}, {2,29}, {10,27}, {6,45}, {14,44}, {1,16}, {10,34}, {11,32}, {14,32}, {15,33}, {6,25}, {11,40}, {9,36}, {5,27}, {15,38}, {4,18}, {13,38}, {9,38}, {4,25}, {14,35}, {1,41}, {13,37}, {5,45}, {3,41}, {7,24}, {3,31}, {15,39}, {9,24}, {6,39}, {6,37}, {11,34}, {5,21}, {2,30}, {13,20}, {2,18}, {1,34}, {7,40}, {7,42}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16} }; // ETB45.35 (= ET45.50) // Bipartite(20,25) Valencies [10,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 28800 EdgesBipt[45][35]:={ {3,33}, {16,41}, {2,24}, {13,32}, {2,33}, {18,39}, {13,21}, {11,35}, {5,34}, {13,40}, {4,24}, {16,33}, {10,37}, {14,39}, {2,23}, {8,43}, {16,31}, {18,38}, {8,33}, {3,25}, {10,23}, {12,38}, {19,24}, {7,44}, {10,26}, {17,34}, {9,44}, {7,22}, {10,33}, {2,27}, {3,35}, {9,43}, {3,37}, {11,41}, {1,21}, {18,21}, {2,41}, {2,28}, {12,34}, {18,41}, {5,32}, {17,40}, {9,35}, {20,30}, {4,23}, {8,31}, {12,37}, {15,25}, {18,42}, {11,28}, {18,37}, {10,30}, {6,29}, {2,45}, {19,28}, {4,38}, {15,29}, {3,34}, {5,40}, {2,25}, {11,33}, {1,38}, {5,22}, {4,22}, {10,38}, {9,29}, {19,40}, {9,32}, {14,36}, {19,26}, {15,32}, {12,36}, {1,44}, {8,41}, {19,29}, {7,39}, {4,42}, {5,25}, {2,39}, {7,32}, {15,26}, {17,23}, {4,45}, {10,28}, {11,31}, {14,24}, {17,33}, {15,27}, {19,38}, {6,30}, {6,43}, {9,34}, {13,22}, {10,21}, {12,43}, {1,29}, {13,31}, {11,21}, {7,26}, {6,33}, {11,29}, {20,44}, {6,44}, {17,30}, {5,24}, {12,25}, {15,37}, {15,34}, {18,24}, {8,35}, {10,42}, {20,45}, {18,26}, {18,27}, {14,41}, {20,22}, {4,43}, {10,45}, {6,23}, {1,43}, {15,36}, {17,31}, {16,22}, {9,22}, {5,41}, {17,28}, {9,40}, {16,45}, {8,21}, {1,42}, {12,23}, {5,31}, {8,40}, {12,40}, {20,39}, {12,30}, {8,23}, {18,25}, {20,25}, {3,21}, {16,44}, {7,29}, {6,28}, {1,35}, {13,42}, {1,37}, {5,39}, {14,25}, {16,21}, {7,28}, {19,32}, {20,37}, {13,26}, {11,26}, {4,40}, {6,36}, {3,30}, {11,27}, {16,35}, {6,45}, {8,38}, {20,34}, {1,26}, {14,44}, {11,32}, {8,24}, {19,43}, {20,42}, {9,36}, {16,42}, {20,36}, {5,27}, {14,43}, {15,28}, {16,39}, {13,38}, {17,45}, {12,24}, {7,27}, {7,45}, {14,35}, {13,37}, {3,41}, {3,31}, {13,34}, {17,22}, {2,30}, {15,30}, {9,31}, {19,23}, {6,35}, {17,32}, {3,36}, {4,39}, {7,42}, {4,44}, {14,27}, {19,27}, {1,36}, {14,29} }; // ETB45.36 (= ET45.51) // Bipartite(20,25) Valencies [10,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 200 EdgesBipt[45][36]:={ {2,44}, {10,25}, {13,32}, {17,35}, {11,36}, {17,36}, {12,29}, {13,21}, {11,35}, {5,34}, {4,24}, {15,24}, {16,26}, {4,26}, {17,38}, {12,45}, {10,37}, {18,32}, {11,25}, {8,30}, {2,23}, {8,42}, {19,44}, {16,31}, {8,33}, {1,27}, {3,25}, {10,23}, {7,41}, {1,40}, {17,34}, {9,44}, {15,44}, {12,42}, {9,43}, {3,37}, {20,21}, {14,31}, {8,39}, {11,41}, {1,21}, {16,25}, {18,41}, {17,40}, {8,31}, {16,29}, {18,34}, {19,21}, {6,22}, {2,45}, {15,45}, {16,30}, {19,28}, {15,29}, {14,23}, {2,25}, {11,38}, {6,31}, {1,38}, {9,29}, {17,37}, {14,36}, {9,32}, {15,32}, {16,24}, {9,26}, {9,27}, {5,29}, {4,41}, {2,38}, {12,44}, {14,30}, {14,40}, {8,45}, {19,22}, {4,42}, {9,41}, {7,32}, {1,31}, {7,43}, {11,31}, {10,28}, {7,25}, {20,31}, {17,33}, {1,22}, {3,44}, {6,30}, {4,33}, {13,22}, {10,21}, {16,37}, {10,40}, {1,29}, {3,39}, {3,32}, {4,35}, {7,26}, {6,33}, {2,32}, {19,42}, {11,23}, {6,24}, {20,44}, {6,44}, {17,30}, {19,41}, {5,24}, {12,28}, {15,37}, {14,42}, {1,45}, {8,22}, {13,25}, {10,42}, {20,45}, {18,27}, {18,36}, {4,28}, {10,45}, {20,43}, {18,33}, {1,43}, {3,26}, {16,38}, {8,37}, {5,42}, {12,26}, {12,33}, {5,41}, {4,36}, {12,27}, {16,45}, {13,24}, {6,27}, {5,31}, {11,39}, {12,40}, {20,39}, {12,30}, {3,23}, {8,23}, {17,29}, {20,25}, {7,29}, {18,23}, {15,21}, {7,28}, {4,37}, {10,35}, {6,36}, {3,30}, {5,33}, {8,34}, {20,26}, {16,35}, {18,28}, {2,22}, {10,34}, {15,22}, {18,22}, {15,33}, {19,39}, {19,43}, {13,41}, {20,42}, {6,38}, {20,24}, {2,40}, {9,36}, {14,43}, {5,27}, {15,28}, {13,38}, {9,38}, {3,28}, {14,35}, {13,37}, {9,24}, {18,40}, {6,39}, {13,34}, {11,34}, {7,35}, {13,39}, {11,43}, {5,21}, {2,30}, {5,35}, {1,34}, {19,23}, {2,43}, {17,32}, {3,36}, {4,39}, {7,40}, {14,27}, {7,21}, {19,27}, {14,26} }; // ETB45.37 (= ET45.52) // Bipartite(20,25) Valencies [10,8] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1981355655168000000 EdgesBipt[45][37]:={ {3,33}, {16,41}, {10,24}, {9,28}, {17,35}, {11,36}, {13,21}, {5,34}, {16,26}, {15,24}, {12,45}, {10,37}, {4,30}, {8,43}, {9,45}, {12,22}, {12,32}, {8,28}, {16,31}, {18,38}, {20,27}, {8,33}, {3,43}, {14,38}, {7,22}, {15,44}, {2,27}, {12,42}, {9,43}, {11,41}, {1,21}, {12,35}, {18,21}, {10,44}, {18,41}, {5,32}, {17,40}, {14,28}, {9,35}, {4,23}, {8,31}, {12,37}, {16,29}, {2,42}, {10,22}, {6,29}, {2,45}, {19,28}, {15,29}, {4,38}, {19,33}, {6,21}, {14,23}, {2,25}, {6,31}, {14,33}, {5,22}, {19,40}, {17,37}, {15,32}, {16,24}, {19,30}, {1,44}, {5,29}, {8,41}, {2,37}, {14,30}, {14,40}, {7,32}, {1,31}, {4,45}, {7,25}, {11,31}, {2,35}, {11,44}, {15,27}, {19,38}, {4,33}, {10,29}, {15,42}, {1,29}, {7,30}, {13,31}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {13,33}, {18,43}, {13,43}, {11,29}, {6,24}, {20,44}, {6,44}, {17,30}, {5,24}, {17,27}, {13,23}, {12,25}, {15,37}, {15,34}, {13,28}, {10,42}, {18,26}, {20,22}, {18,36}, {4,28}, {4,43}, {18,33}, {3,26}, {13,36}, {8,26}, {18,31}, {5,42}, {20,29}, {12,27}, {9,40}, {8,21}, {1,24}, {11,24}, {17,25}, {11,39}, {5,44}, {6,26}, {12,40}, {20,39}, {12,30}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {16,44}, {19,45}, {6,41}, {18,23}, {9,30}, {10,39}, {16,34}, {14,25}, {5,39}, {16,21}, {20,37}, {13,26}, {11,26}, {14,45}, {4,40}, {16,36}, {6,36}, {18,28}, {10,27}, {8,38}, {20,34}, {1,26}, {2,22}, {10,34}, {15,22}, {19,43}, {13,41}, {20,42}, {20,24}, {2,40}, {9,33}, {6,34}, {14,43}, {5,27}, {19,25}, {16,39}, {13,38}, {9,38}, {4,25}, {17,45}, {3,38}, {3,28}, {7,27}, {7,45}, {14,35}, {1,41}, {3,41}, {3,31}, {15,39}, {6,39}, {11,34}, {17,42}, {19,35}, {7,35}, {17,22}, {2,30}, {7,37}, {1,34}, {19,23}, {5,37}, {17,32}, {3,36}, {7,40}, {7,42}, {9,23}, {20,32}, {1,36} }; // ETB45.38 (= ET45.53) // Bipartite(20,25) Valencies [10,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3057647616000000 EdgesBipt[45][38]:={ {3,33}, {10,25}, {13,32}, {17,44}, {11,36}, {5,34}, {15,24}, {16,33}, {4,26}, {3,22}, {12,45}, {18,32}, {9,45}, {12,22}, {12,32}, {8,42}, {3,43}, {10,23}, {20,40}, {7,44}, {17,34}, {14,38}, {7,22}, {4,31}, {15,44}, {10,33}, {12,42}, {2,27}, {3,37}, {14,31}, {7,34}, {11,41}, {1,21}, {17,24}, {12,35}, {18,21}, {18,41}, {16,23}, {9,35}, {14,28}, {20,30}, {4,23}, {8,31}, {8,27}, {12,37}, {16,29}, {2,42}, {19,21}, {15,25}, {18,42}, {16,43}, {18,37}, {10,30}, {6,29}, {2,45}, {15,45}, {4,38}, {15,29}, {14,23}, {5,40}, {2,25}, {20,38}, {14,33}, {10,38}, {19,40}, {17,37}, {14,21}, {14,36}, {19,26}, {16,24}, {9,26}, {19,30}, {15,40}, {1,44}, {4,41}, {5,29}, {8,41}, {2,37}, {7,39}, {9,41}, {5,25}, {7,32}, {17,39}, {1,31}, {10,28}, {11,31}, {2,35}, {11,44}, {20,33}, {6,43}, {4,33}, {4,21}, {13,22}, {10,40}, {1,29}, {3,32}, {11,21}, {9,25}, {8,36}, {6,33}, {2,32}, {13,33}, {13,43}, {11,29}, {6,24}, {5,30}, {6,44}, {19,41}, {15,35}, {5,24}, {17,27}, {13,23}, {12,25}, {8,22}, {15,34}, {20,28}, {13,28}, {20,45}, {18,26}, {19,31}, {18,27}, {14,41}, {3,27}, {18,36}, {4,28}, {4,43}, {10,45}, {20,43}, {6,23}, {16,38}, {8,37}, {8,26}, {18,31}, {10,43}, {4,36}, {12,27}, {9,40}, {8,32}, {8,21}, {1,24}, {11,24}, {11,39}, {5,44}, {20,23}, {12,40}, {12,30}, {3,23}, {1,39}, {17,29}, {20,25}, {16,44}, {19,45}, {7,29}, {19,36}, {6,28}, {9,30}, {13,27}, {13,42}, {16,34}, {5,39}, {20,35}, {11,26}, {10,35}, {1,26}, {2,22}, {18,22}, {6,38}, {2,40}, {9,36}, {6,34}, {14,43}, {19,25}, {3,42}, {16,39}, {13,38}, {3,38}, {3,28}, {7,27}, {1,41}, {13,37}, {5,45}, {7,24}, {15,39}, {6,39}, {11,34}, {17,42}, {19,35}, {17,22}, {2,30}, {15,30}, {7,37}, {5,35}, {9,31}, {1,34}, {17,32}, {9,21}, {16,28}, {7,42}, {1,36}, {14,26} }; // ETB45.39 (= ET45.54) // Bipartite(20,25) Valencies [10,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 204800 EdgesBipt[45][39]:={ {2,44}, {3,33}, {2,24}, {9,28}, {6,32}, {17,35}, {4,27}, {13,40}, {4,24}, {18,29}, {3,40}, {17,38}, {12,45}, {18,32}, {4,30}, {11,25}, {16,27}, {14,39}, {7,38}, {8,42}, {16,31}, {18,38}, {15,31}, {8,33}, {3,43}, {3,25}, {10,23}, {19,24}, {20,40}, {7,41}, {1,40}, {10,26}, {17,34}, {12,39}, {12,41}, {15,44}, {10,33}, {2,26}, {7,34}, {1,21}, {16,25}, {15,43}, {10,44}, {2,41}, {12,34}, {14,28}, {8,31}, {13,29}, {12,37}, {16,29}, {19,21}, {6,22}, {18,42}, {6,29}, {2,45}, {15,45}, {16,30}, {19,28}, {6,21}, {20,38}, {11,33}, {6,31}, {2,34}, {10,38}, {17,37}, {14,21}, {9,32}, {19,26}, {9,26}, {2,37}, {5,43}, {12,44}, {14,30}, {19,22}, {9,41}, {2,39}, {7,32}, {10,41}, {11,22}, {14,24}, {1,22}, {15,27}, {3,44}, {19,38}, {20,33}, {6,30}, {4,21}, {9,34}, {15,42}, {10,40}, {12,43}, {1,29}, {7,30}, {3,39}, {13,31}, {11,21}, {8,36}, {13,33}, {16,32}, {11,23}, {1,23}, {13,43}, {11,29}, {20,44}, {13,44}, {5,30}, {17,30}, {19,41}, {15,35}, {15,37}, {8,22}, {13,25}, {8,35}, {10,42}, {20,45}, {3,27}, {14,37}, {18,36}, {4,28}, {1,33}, {4,43}, {10,45}, {18,33}, {3,29}, {13,36}, {15,36}, {18,31}, {5,42}, {12,26}, {16,22}, {9,22}, {17,28}, {8,32}, {1,24}, {5,31}, {11,24}, {6,27}, {11,39}, {5,44}, {20,23}, {12,40}, {14,34}, {8,23}, {1,39}, {5,36}, {1,25}, {17,41}, {6,28}, {18,23}, {13,27}, {14,25}, {16,21}, {7,28}, {19,32}, {4,37}, {11,26}, {20,26}, {16,35}, {8,38}, {1,26}, {4,34}, {10,36}, {18,22}, {6,25}, {20,42}, {2,40}, {11,40}, {20,36}, {14,43}, {5,27}, {9,38}, {4,25}, {17,45}, {12,24}, {20,41}, {7,45}, {5,45}, {3,31}, {9,24}, {17,42}, {7,35}, {13,39}, {15,30}, {19,34}, {7,37}, {5,35}, {19,23}, {5,37}, {2,43}, {6,35}, {17,32}, {9,21}, {3,36}, {4,39}, {16,28}, {18,35}, {7,42}, {9,23}, {14,27}, {8,29} }; // ETB45.40 (= ET45.56) // Bipartite(9,36) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10030613004288000000 EdgesBipt[45][40]:={ {5,32}, {7,39}, {6,39}, {6,12}, {5,14}, {1,43}, {8,24}, {4,42}, {6,18}, {3,29}, {2,22}, {6,36}, {1,31}, {8,36}, {1,40}, {7,38}, {1,25}, {7,33}, {2,33}, {7,45}, {7,27}, {8,42}, {7,15}, {5,13}, {3,10}, {6,45}, {3,34}, {2,28}, {2,15}, {5,26}, {8,41}, {9,17}, {5,37}, {4,12}, {3,41}, {1,34}, {9,38}, {3,11}, {4,37}, {2,10}, {1,10}, {7,26}, {2,16}, {1,22}, {6,33}, {3,40}, {6,21}, {1,16}, {8,18}, {3,22}, {4,43}, {5,43}, {5,19}, {9,23}, {7,20}, {8,35}, {3,23}, {8,17}, {7,14}, {4,31}, {4,30}, {2,34}, {6,15}, {1,19}, {8,11}, {2,40}, {4,36}, {4,25}, {2,27}, {9,44}, {5,38}, {3,35}, {2,21}, {6,30}, {9,35}, {2,39}, {7,44}, {5,20}, {3,28}, {5,31}, {8,23}, {9,26}, {6,42}, {1,37}, {9,11}, {3,16}, {1,13}, {4,18}, {7,32}, {9,29}, {7,21}, {9,14}, {1,28}, {3,17}, {9,41}, {6,24}, {9,32}, {8,30}, {6,27}, {5,44}, {4,13}, {5,25}, {4,19}, {4,24}, {8,12}, {9,20}, {8,29}, {2,45} }; // ETB45.41 (= ET45.57) // Bipartite(9,36) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 285315214344192 EdgesBipt[45][41]:={ {7,19}, {7,39}, {3,15}, {8,31}, {8,24}, {1,43}, {2,38}, {4,42}, {6,18}, {5,30}, {6,36}, {1,31}, {6,17}, {4,27}, {2,11}, {9,45}, {1,40}, {2,20}, {5,34}, {1,25}, {6,13}, {3,32}, {6,40}, {8,42}, {3,10}, {6,45}, {8,13}, {6,22}, {5,21}, {2,29}, {3,19}, {4,12}, {8,22}, {8,15}, {3,41}, {7,28}, {1,34}, {7,10}, {2,14}, {2,41}, {9,27}, {2,23}, {1,10}, {7,26}, {8,33}, {9,43}, {4,39}, {1,22}, {2,32}, {1,16}, {4,33}, {2,17}, {9,34}, {3,14}, {5,43}, {9,23}, {3,23}, {4,45}, {5,29}, {4,30}, {6,26}, {1,19}, {8,11}, {4,36}, {4,21}, {7,30}, {2,35}, {9,25}, {4,15}, {2,44}, {8,40}, {7,35}, {6,31}, {3,42}, {5,38}, {8,38}, {7,44}, {5,20}, {3,28}, {3,24}, {8,20}, {9,18}, {1,37}, {5,11}, {1,13}, {4,18}, {2,26}, {7,37}, {7,21}, {5,12}, {9,14}, {1,28}, {9,41}, {3,37}, {6,35}, {9,32}, {6,44}, {9,36}, {6,27}, {9,16}, {3,33}, {7,17}, {7,12}, {5,39}, {5,16}, {5,25}, {4,24}, {8,29} }; // ETB45.42 (= ET45.58) // Bipartite(9,36) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 28311552 EdgesBipt[45][42]:={ {3,15}, {8,39}, {1,43}, {8,31}, {6,10}, {9,30}, {2,22}, {5,42}, {1,31}, {7,40}, {2,11}, {6,41}, {5,35}, {6,23}, {9,45}, {4,40}, {1,25}, {9,12}, {5,24}, {3,32}, {6,25}, {7,45}, {7,27}, {9,19}, {1,44}, {4,44}, {9,37}, {3,45}, {5,13}, {3,34}, {6,34}, {8,14}, {4,26}, {8,13}, {7,11}, {2,29}, {5,37}, {4,12}, {3,18}, {8,44}, {8,15}, {6,43}, {2,14}, {9,38}, {9,27}, {1,10}, {8,33}, {4,39}, {1,36}, {1,17}, {2,16}, {2,32}, {8,21}, {4,28}, {7,29}, {3,14}, {5,19}, {9,23}, {8,26}, {6,37}, {5,29}, {2,42}, {3,27}, {2,34}, {4,30}, {2,40}, {7,30}, {4,21}, {9,15}, {1,35}, {1,26}, {7,35}, {2,24}, {9,33}, {6,19}, {5,38}, {2,21}, {7,18}, {2,39}, {8,38}, {5,20}, {4,22}, {8,32}, {5,31}, {5,17}, {8,20}, {6,16}, {6,42}, {5,11}, {7,22}, {3,16}, {1,13}, {3,25}, {1,28}, {3,36}, {9,41}, {6,24}, {3,43}, {4,41}, {3,33}, {7,36}, {7,17}, {4,23}, {7,12}, {1,18}, {4,10}, {9,20}, {6,28} }; // ETB45.43 (= ET45.59) // Bipartite(9,36) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 940369969152 EdgesBipt[45][43]:={ {7,43}, {9,13}, {7,19}, {5,32}, {6,12}, {8,39}, {2,38}, {4,14}, {1,11}, {9,30}, {6,14}, {9,42}, {6,36}, {1,40}, {5,34}, {9,12}, {7,33}, {3,32}, {7,31}, {7,45}, {4,44}, {6,40}, {9,37}, {6,45}, {3,31}, {2,19}, {9,10}, {2,18}, {2,15}, {4,26}, {8,13}, {3,19}, {1,29}, {8,15}, {7,10}, {2,14}, {3,11}, {4,37}, {4,20}, {2,31}, {7,41}, {8,33}, {1,17}, {6,33}, {1,16}, {6,21}, {8,21}, {7,29}, {9,34}, {4,29}, {5,15}, {8,35}, {3,23}, {2,42}, {6,26}, {8,11}, {4,17}, {5,28}, {9,25}, {4,25}, {1,35}, {4,38}, {5,22}, {2,27}, {2,43}, {3,35}, {1,23}, {5,27}, {8,27}, {6,38}, {2,39}, {5,20}, {3,24}, {9,24}, {3,12}, {8,23}, {1,42}, {6,16}, {1,41}, {9,18}, {3,44}, {4,32}, {7,22}, {5,10}, {8,25}, {2,26}, {8,45}, {3,20}, {7,21}, {1,28}, {3,36}, {8,37}, {6,24}, {3,43}, {9,36}, {4,41}, {5,44}, {7,34}, {7,17}, {1,30}, {5,39}, {5,16}, {4,13}, {2,30}, {1,18}, {5,40}, {6,28}, {9,22} }; // ETB45.44 (= ET45.60) // Bipartite(15,30) Valencies [12,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 360 EdgesBipt[45][44]:={ {10,25}, {1,20}, {5,17}, {11,20}, {13,32}, {6,32}, {11,36}, {12,29}, {13,21}, {11,35}, {15,24}, {3,40}, {4,16}, {11,25}, {8,30}, {12,22}, {5,38}, {7,38}, {8,42}, {8,28}, {15,31}, {4,29}, {8,33}, {3,25}, {10,26}, {14,38}, {12,39}, {2,19}, {15,44}, {2,27}, {5,20}, {9,43}, {13,35}, {8,39}, {7,34}, {1,21}, {12,35}, {15,43}, {2,41}, {2,28}, {1,30}, {9,35}, {13,29}, {2,42}, {10,22}, {6,22}, {15,25}, {11,28}, {6,29}, {8,16}, {2,45}, {3,34}, {11,38}, {11,33}, {14,33}, {5,22}, {10,38}, {9,32}, {14,21}, {12,17}, {9,27}, {1,44}, {4,41}, {9,19}, {2,37}, {12,44}, {8,45}, {14,30}, {14,40}, {15,26}, {4,45}, {6,43}, {5,23}, {10,31}, {3,20}, {13,22}, {15,42}, {10,21}, {9,42}, {1,29}, {3,39}, {13,31}, {4,35}, {7,16}, {15,41}, {7,26}, {6,33}, {6,44}, {5,24}, {9,37}, {13,23}, {12,25}, {8,22}, {1,45}, {14,41}, {3,27}, {4,28}, {4,43}, {10,45}, {1,43}, {3,26}, {15,36}, {8,26}, {5,42}, {12,33}, {10,43}, {4,36}, {5,41}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {11,24}, {11,39}, {5,44}, {6,26}, {12,40}, {12,30}, {3,23}, {14,34}, {1,39}, {5,36}, {6,28}, {9,30}, {13,27}, {1,37}, {15,21}, {14,25}, {3,16}, {6,42}, {15,18}, {4,40}, {7,23}, {10,17}, {11,37}, {2,29}, {11,27}, {14,44}, {1,16}, {9,17}, {10,18}, {14,32}, {8,24}, {13,41}, {2,40}, {2,31}, {9,36}, {6,34}, {4,18}, {13,38}, {10,19}, {3,28}, {15,23}, {5,45}, {7,24}, {10,20}, {7,33}, {6,37}, {12,31}, {13,34}, {5,19}, {6,20}, {7,35}, {13,39}, {2,30}, {7,37}, {2,18}, {9,31}, {1,34}, {7,19}, {4,17}, {3,36}, {9,16}, {7,40}, {14,27}, {4,32}, {11,18}, {7,18} }; // ETB45.45 (= ET45.61) // Bipartite(15,30) Valencies [12,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[45][45]:={ {11,17}, {9,28}, {6,16}, {12,29}, {13,21}, {14,19}, {15,24}, {4,26}, {3,22}, {10,37}, {11,25}, {8,43}, {8,42}, {1,32}, {12,38}, {7,44}, {10,26}, {9,44}, {14,38}, {12,39}, {4,31}, {2,19}, {3,35}, {13,35}, {8,39}, {11,41}, {1,21}, {12,35}, {7,36}, {5,32}, {8,27}, {10,22}, {15,16}, {15,29}, {6,21}, {3,34}, {5,40}, {2,25}, {11,38}, {11,33}, {6,31}, {14,33}, {1,17}, {4,22}, {8,19}, {7,20}, {12,36}, {5,29}, {8,41}, {2,38}, {9,19}, {2,37}, {5,43}, {12,44}, {8,45}, {14,40}, {4,42}, {9,41}, {2,39}, {7,32}, {1,31}, {4,45}, {7,25}, {10,28}, {14,24}, {15,27}, {3,44}, {6,30}, {12,16}, {9,34}, {13,22}, {10,21}, {2,20}, {10,40}, {8,17}, {3,39}, {7,16}, {2,32}, {6,33}, {5,18}, {1,23}, {13,43}, {13,44}, {5,30}, {7,17}, {11,30}, {15,35}, {5,24}, {13,23}, {14,42}, {1,28}, {14,41}, {3,27}, {4,28}, {10,45}, {3,29}, {6,23}, {1,43}, {8,37}, {15,36}, {9,22}, {7,31}, {10,43}, {4,36}, {2,17}, {1,42}, {3,19}, {14,18}, {12,23}, {6,27}, {11,39}, {12,19}, {12,30}, {3,23}, {10,32}, {3,21}, {1,25}, {6,41}, {6,28}, {13,42}, {14,20}, {15,21}, {14,25}, {11,26}, {14,45}, {15,18}, {4,40}, {10,35}, {7,23}, {5,33}, {9,18}, {3,24}, {2,29}, {11,27}, {1,26}, {4,34}, {10,36}, {1,16}, {15,22}, {11,32}, {15,33}, {8,24}, {6,38}, {2,40}, {9,33}, {9,36}, {6,34}, {5,27}, {5,26}, {15,28}, {9,38}, {4,25}, {4,20}, {8,20}, {13,37}, {5,45}, {3,41}, {9,24}, {6,39}, {12,31}, {13,34}, {7,35}, {11,43}, {2,30}, {13,17}, {13,45}, {15,30}, {13,20}, {7,37}, {2,18}, {9,31}, {1,34}, {5,37}, {11,42}, {7,40}, {4,44}, {8,29}, {12,18}, {14,26}, {10,16} }; // ETB45.46 (= ET45.62) // Bipartite(15,30) Valencies [12,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15045919506432000000 EdgesBipt[45][46]:={ {3,33}, {10,24}, {5,17}, {9,28}, {6,16}, {11,36}, {13,21}, {5,34}, {15,24}, {12,45}, {10,37}, {4,30}, {8,43}, {9,45}, {12,22}, {12,32}, {8,28}, {8,33}, {3,43}, {14,38}, {7,22}, {15,44}, {1,19}, {12,42}, {2,27}, {9,43}, {11,41}, {1,21}, {12,35}, {10,44}, {5,32}, {9,35}, {14,28}, {4,23}, {8,31}, {12,37}, {13,16}, {2,42}, {10,22}, {3,18}, {6,29}, {8,16}, {2,45}, {4,38}, {15,29}, {6,21}, {2,25}, {14,23}, {6,31}, {14,33}, {5,22}, {7,20}, {12,17}, {15,32}, {12,20}, {1,44}, {5,29}, {8,41}, {2,37}, {14,30}, {14,40}, {7,32}, {1,31}, {4,45}, {7,25}, {11,31}, {2,35}, {11,44}, {15,27}, {4,33}, {10,29}, {15,19}, {15,42}, {2,20}, {13,18}, {1,29}, {7,30}, {13,31}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {13,33}, {13,43}, {11,29}, {6,24}, {6,44}, {7,17}, {5,24}, {13,23}, {12,25}, {15,37}, {15,34}, {13,28}, {10,42}, {9,20}, {4,28}, {4,43}, {15,17}, {3,26}, {13,36}, {8,26}, {5,42}, {2,17}, {12,27}, {9,40}, {8,21}, {1,24}, {14,18}, {11,24}, {11,39}, {5,44}, {6,26}, {12,40}, {12,30}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {6,19}, {6,41}, {9,30}, {10,39}, {14,20}, {5,39}, {14,25}, {3,16}, {13,26}, {11,26}, {14,45}, {4,40}, {11,16}, {6,36}, {9,18}, {10,17}, {10,27}, {8,38}, {1,26}, {2,22}, {1,16}, {10,34}, {15,22}, {13,41}, {2,40}, {9,33}, {6,34}, {5,27}, {14,43}, {8,18}, {4,18}, {13,38}, {9,38}, {11,19}, {10,19}, {4,25}, {3,38}, {4,20}, {3,28}, {7,27}, {7,45}, {14,35}, {1,41}, {3,41}, {3,31}, {15,39}, {6,39}, {11,34}, {5,19}, {7,35}, {2,30}, {7,37}, {1,34}, {5,37}, {3,36}, {7,40}, {7,42}, {9,23}, {1,36} }; // ETB45.47 (= ET45.63) // Bipartite(15,30) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56422198149120 EdgesBipt[45][47]:={ {10,25}, {5,17}, {10,24}, {2,33}, {6,16}, {11,36}, {13,21}, {5,34}, {15,24}, {4,26}, {4,16}, {10,37}, {4,30}, {2,23}, {12,22}, {12,32}, {7,38}, {8,28}, {3,45}, {3,25}, {12,38}, {7,22}, {4,31}, {15,44}, {1,19}, {12,42}, {2,27}, {3,35}, {5,20}, {13,35}, {14,31}, {8,39}, {10,44}, {8,25}, {2,28}, {8,31}, {13,29}, {12,37}, {2,42}, {15,25}, {3,18}, {10,30}, {6,29}, {15,45}, {5,40}, {11,33}, {4,22}, {8,19}, {9,32}, {14,21}, {14,36}, {12,17}, {9,26}, {15,40}, {1,44}, {4,41}, {8,41}, {2,38}, {2,37}, {8,45}, {14,30}, {14,40}, {4,42}, {9,41}, {5,25}, {7,32}, {7,43}, {11,44}, {15,27}, {6,43}, {4,21}, {9,42}, {14,16}, {13,18}, {10,40}, {12,43}, {1,29}, {3,39}, {13,31}, {2,32}, {6,33}, {11,23}, {1,23}, {11,29}, {6,24}, {5,30}, {6,44}, {7,17}, {15,35}, {5,24}, {12,28}, {15,37}, {14,42}, {15,34}, {13,25}, {8,35}, {13,28}, {15,20}, {9,20}, {14,41}, {1,33}, {15,17}, {10,45}, {3,29}, {6,23}, {1,43}, {9,22}, {12,33}, {2,17}, {4,36}, {12,27}, {9,40}, {8,21}, {3,19}, {1,24}, {12,23}, {14,22}, {11,24}, {11,39}, {5,44}, {6,26}, {1,39}, {3,21}, {6,19}, {9,30}, {14,20}, {7,28}, {11,26}, {4,40}, {10,35}, {11,16}, {13,19}, {7,23}, {6,36}, {10,17}, {10,27}, {8,38}, {1,26}, {2,22}, {1,16}, {10,34}, {14,32}, {13,41}, {9,36}, {6,34}, {5,27}, {8,18}, {13,38}, {11,19}, {3,38}, {4,20}, {3,28}, {7,27}, {5,45}, {3,41}, {3,31}, {10,20}, {6,39}, {7,33}, {11,34}, {13,39}, {11,43}, {13,45}, {15,30}, {7,37}, {5,35}, {2,18}, {9,31}, {1,34}, {5,37}, {2,43}, {9,21}, {9,16}, {7,42}, {8,29}, {4,32}, {12,18}, {1,36}, {14,26}, {7,18} }; // ETB45.48 (= ET45.64) // Bipartite(15,30) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43535646720 EdgesBipt[45][48]:={ {11,17}, {2,44}, {10,25}, {1,20}, {2,24}, {9,28}, {2,33}, {6,16}, {6,32}, {11,36}, {13,21}, {4,24}, {14,19}, {4,26}, {3,40}, {4,16}, {12,45}, {10,37}, {4,30}, {6,17}, {14,39}, {2,23}, {8,42}, {15,31}, {1,32}, {12,38}, {1,40}, {9,44}, {14,38}, {12,41}, {5,20}, {3,37}, {1,21}, {12,35}, {15,43}, {8,25}, {2,28}, {1,30}, {5,32}, {14,28}, {8,44}, {8,31}, {13,29}, {2,42}, {10,22}, {15,16}, {6,22}, {3,18}, {3,17}, {15,29}, {5,40}, {11,33}, {2,34}, {5,22}, {9,29}, {7,20}, {14,36}, {5,29}, {8,41}, {2,38}, {9,19}, {5,43}, {8,45}, {15,26}, {1,31}, {4,45}, {7,43}, {7,25}, {11,44}, {1,22}, {5,23}, {10,29}, {3,20}, {9,34}, {15,19}, {14,16}, {6,18}, {12,43}, {7,30}, {13,31}, {4,35}, {15,41}, {2,32}, {11,23}, {13,44}, {5,30}, {7,17}, {12,28}, {12,25}, {8,22}, {8,35}, {10,42}, {9,20}, {3,27}, {10,45}, {15,36}, {5,42}, {12,33}, {4,36}, {9,40}, {8,32}, {8,21}, {1,42}, {14,18}, {12,23}, {6,27}, {11,24}, {13,24}, {6,26}, {10,32}, {3,21}, {6,28}, {9,30}, {10,39}, {13,27}, {15,21}, {5,39}, {14,25}, {11,26}, {6,42}, {14,45}, {4,40}, {10,35}, {11,16}, {7,23}, {13,19}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {11,37}, {11,27}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {15,33}, {8,24}, {13,41}, {6,38}, {9,39}, {9,38}, {10,19}, {4,25}, {3,38}, {4,20}, {3,28}, {7,27}, {7,45}, {14,35}, {15,23}, {1,41}, {13,37}, {3,41}, {3,31}, {15,39}, {9,24}, {7,33}, {6,37}, {12,31}, {11,34}, {13,34}, {5,19}, {7,35}, {13,39}, {11,43}, {13,17}, {7,37}, {2,18}, {2,43}, {7,40}, {4,44}, {12,18}, {12,21}, {1,36}, {14,29}, {14,26} }; // ETB45.49 (= ET45.65) // Bipartite(15,30) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[45][49]:={ {11,17}, {3,33}, {10,25}, {1,20}, {10,24}, {11,20}, {9,28}, {6,16}, {13,21}, {11,35}, {13,40}, {14,19}, {4,24}, {4,26}, {10,37}, {4,30}, {8,30}, {2,23}, {7,38}, {8,42}, {3,45}, {8,33}, {12,38}, {4,19}, {7,22}, {15,44}, {1,19}, {2,27}, {5,20}, {9,43}, {14,31}, {2,26}, {1,21}, {2,41}, {12,34}, {8,27}, {2,42}, {10,22}, {6,22}, {15,25}, {3,18}, {6,29}, {3,17}, {15,29}, {6,21}, {11,38}, {11,33}, {6,31}, {5,22}, {8,19}, {7,20}, {15,32}, {9,26}, {9,27}, {12,36}, {15,40}, {1,44}, {4,41}, {8,41}, {2,38}, {5,43}, {14,30}, {8,45}, {9,41}, {7,32}, {4,45}, {7,43}, {7,25}, {2,35}, {11,44}, {1,22}, {3,44}, {6,30}, {4,21}, {10,31}, {9,42}, {2,20}, {14,16}, {13,18}, {10,40}, {12,43}, {1,29}, {2,16}, {3,32}, {9,25}, {13,33}, {2,32}, {11,23}, {11,29}, {6,24}, {6,44}, {7,17}, {5,24}, {12,28}, {12,25}, {15,37}, {13,25}, {10,42}, {1,28}, {14,41}, {3,27}, {4,28}, {4,43}, {15,17}, {3,29}, {1,43}, {5,28}, {13,36}, {15,36}, {8,26}, {12,33}, {13,30}, {5,41}, {4,36}, {2,17}, {9,40}, {12,23}, {13,24}, {5,31}, {12,19}, {12,40}, {8,23}, {14,34}, {10,32}, {13,27}, {10,39}, {1,35}, {13,42}, {14,20}, {1,37}, {15,21}, {5,39}, {7,28}, {3,16}, {14,45}, {15,18}, {7,23}, {6,36}, {3,30}, {8,34}, {10,17}, {10,27}, {8,38}, {6,45}, {4,34}, {14,44}, {15,22}, {11,32}, {15,33}, {2,31}, {5,26}, {8,18}, {3,42}, {9,39}, {9,38}, {11,19}, {14,35}, {3,31}, {9,24}, {6,39}, {6,37}, {11,34}, {7,35}, {13,39}, {13,45}, {7,37}, {5,35}, {1,34}, {5,37}, {4,39}, {7,40}, {9,23}, {12,18}, {11,18}, {12,21}, {14,29}, {1,36}, {14,26}, {10,16}, {5,16} }; // ETB45.50 (= ET45.66) // Bipartite(18,27) Valencies [12,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[45][50]:={ {2,44}, {3,33}, {16,41}, {10,24}, {2,24}, {13,32}, {9,28}, {2,33}, {6,32}, {17,35}, {17,44}, {11,36}, {18,39}, {12,29}, {11,35}, {4,26}, {3,40}, {17,38}, {4,30}, {11,25}, {14,39}, {8,43}, {5,38}, {12,32}, {15,31}, {1,32}, {8,33}, {10,23}, {7,41}, {1,40}, {10,26}, {9,44}, {4,19}, {14,38}, {16,19}, {12,39}, {2,19}, {1,19}, {2,27}, {13,35}, {14,31}, {1,21}, {17,24}, {8,25}, {1,30}, {16,23}, {8,44}, {8,31}, {18,34}, {6,22}, {15,25}, {18,42}, {18,37}, {10,30}, {6,29}, {4,38}, {15,29}, {3,34}, {6,40}, {1,38}, {2,36}, {5,22}, {8,19}, {7,20}, {15,32}, {16,24}, {9,26}, {18,20}, {12,20}, {12,36}, {5,29}, {4,41}, {8,41}, {2,38}, {5,43}, {12,44}, {8,45}, {14,30}, {4,42}, {5,25}, {2,39}, {17,39}, {15,26}, {7,43}, {11,31}, {10,28}, {2,35}, {17,33}, {11,44}, {15,27}, {3,44}, {4,21}, {10,21}, {9,42}, {16,37}, {10,40}, {3,39}, {3,32}, {11,21}, {9,25}, {8,36}, {6,33}, {7,26}, {18,44}, {13,43}, {1,23}, {11,29}, {5,30}, {11,30}, {9,37}, {17,27}, {13,23}, {12,28}, {12,25}, {15,37}, {8,22}, {15,34}, {15,20}, {9,20}, {1,28}, {18,27}, {14,41}, {3,27}, {4,43}, {10,45}, {18,33}, {3,29}, {16,38}, {17,31}, {18,31}, {12,26}, {9,22}, {13,30}, {10,43}, {5,41}, {9,40}, {16,45}, {8,21}, {1,42}, {1,24}, {12,23}, {14,22}, {6,27}, {11,24}, {11,39}, {6,26}, {12,40}, {3,23}, {10,32}, {5,36}, {17,19}, {17,41}, {18,23}, {1,35}, {16,34}, {14,25}, {7,28}, {4,37}, {6,42}, {13,26}, {14,45}, {4,40}, {10,35}, {6,36}, {2,21}, {5,33}, {2,29}, {16,35}, {18,28}, {4,34}, {15,22}, {18,22}, {16,20}, {8,24}, {13,41}, {6,25}, {9,33}, {9,36}, {16,42}, {6,34}, {5,27}, {14,43}, {3,42}, {13,38}, {17,45}, {11,45}, {3,28}, {7,45}, {14,35}, {15,23}, {13,37}, {7,24}, {15,39}, {10,20}, {12,31}, {6,37}, {13,34}, {5,19}, {17,22}, {11,43}, {5,21}, {2,30}, {13,45}, {13,20}, {7,37}, {9,31}, {1,34}, {7,19}, {3,36}, {16,28}, {7,40}, {7,42}, {7,21}, {14,27}, {4,32}, {14,29} }; // ETB45.51 (= ET45.67) // Bipartite(18,27) Valencies [12,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[45][51]:={ {3,33}, {16,41}, {1,20}, {13,32}, {9,28}, {17,35}, {17,44}, {17,36}, {18,39}, {12,29}, {11,35}, {5,34}, {13,40}, {4,24}, {14,19}, {16,26}, {3,22}, {10,37}, {4,30}, {11,25}, {8,30}, {16,40}, {14,39}, {2,23}, {8,43}, {4,29}, {3,43}, {7,44}, {17,20}, {17,34}, {9,44}, {14,38}, {16,19}, {4,31}, {10,33}, {2,27}, {1,19}, {9,43}, {8,39}, {7,34}, {12,35}, {17,21}, {18,21}, {10,44}, {8,25}, {2,41}, {18,41}, {5,32}, {16,23}, {14,28}, {4,23}, {8,31}, {18,34}, {10,22}, {18,42}, {16,43}, {2,45}, {16,30}, {4,38}, {15,29}, {11,38}, {1,38}, {2,36}, {10,38}, {17,37}, {14,36}, {15,32}, {9,26}, {9,27}, {12,20}, {15,40}, {1,44}, {4,41}, {5,29}, {2,38}, {12,44}, {8,45}, {14,30}, {7,39}, {4,42}, {5,25}, {7,32}, {17,23}, {1,31}, {11,22}, {10,28}, {3,44}, {4,21}, {10,31}, {9,34}, {13,22}, {15,42}, {2,20}, {16,37}, {10,40}, {12,43}, {17,43}, {9,25}, {15,41}, {13,33}, {6,33}, {18,44}, {1,23}, {11,29}, {6,24}, {5,30}, {17,30}, {15,35}, {9,37}, {12,28}, {12,25}, {1,45}, {14,42}, {15,34}, {13,25}, {8,35}, {15,20}, {18,26}, {3,27}, {14,37}, {4,28}, {1,33}, {10,45}, {3,29}, {6,23}, {3,26}, {13,36}, {8,26}, {12,33}, {5,41}, {9,40}, {8,32}, {16,45}, {8,21}, {1,42}, {3,19}, {1,24}, {5,31}, {11,24}, {6,27}, {12,19}, {8,40}, {6,26}, {12,40}, {18,19}, {10,32}, {5,36}, {3,21}, {6,28}, {9,30}, {14,20}, {14,25}, {7,28}, {6,42}, {7,23}, {13,19}, {16,36}, {6,36}, {2,21}, {5,33}, {11,37}, {3,24}, {2,29}, {11,27}, {10,27}, {1,26}, {2,22}, {15,22}, {18,22}, {11,32}, {15,33}, {16,20}, {8,24}, {6,25}, {13,41}, {6,38}, {2,31}, {6,34}, {5,27}, {5,26}, {18,45}, {3,42}, {15,28}, {16,39}, {13,38}, {11,19}, {11,45}, {12,24}, {7,27}, {7,45}, {14,35}, {1,41}, {13,37}, {7,24}, {18,40}, {10,20}, {6,39}, {12,31}, {13,34}, {17,42}, {7,35}, {13,39}, {17,22}, {11,43}, {5,21}, {15,30}, {7,37}, {9,31}, {2,43}, {3,36}, {4,39}, {18,35}, {9,23}, {7,21}, {4,32}, {14,29} }; // ETB45.52 (= ET45.68) // Bipartite(18,27) Valencies [12,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 371504185344 EdgesBipt[45][52]:={ {2,44}, {10,25}, {1,20}, {2,24}, {11,20}, {2,33}, {6,32}, {17,35}, {17,44}, {11,36}, {18,39}, {4,27}, {12,29}, {11,35}, {4,24}, {3,22}, {3,40}, {10,37}, {16,27}, {8,30}, {16,40}, {14,39}, {12,22}, {5,38}, {12,32}, {8,42}, {16,31}, {15,31}, {8,33}, {12,38}, {10,26}, {4,19}, {14,38}, {16,19}, {7,22}, {12,41}, {15,44}, {1,19}, {2,27}, {5,20}, {9,43}, {3,37}, {2,26}, {8,39}, {17,24}, {7,36}, {15,43}, {17,21}, {18,21}, {10,44}, {5,32}, {8,44}, {12,37}, {2,42}, {18,34}, {6,22}, {15,25}, {18,42}, {2,45}, {16,30}, {14,23}, {11,38}, {11,33}, {6,31}, {6,40}, {1,38}, {2,36}, {10,38}, {14,21}, {14,36}, {15,32}, {12,20}, {15,40}, {1,44}, {5,29}, {8,41}, {2,38}, {14,30}, {7,39}, {4,42}, {17,39}, {15,26}, {17,23}, {4,45}, {10,28}, {2,35}, {17,33}, {11,44}, {6,43}, {4,33}, {5,23}, {10,29}, {3,20}, {9,34}, {9,42}, {2,20}, {16,37}, {1,29}, {7,30}, {18,30}, {3,32}, {9,25}, {15,41}, {13,33}, {18,43}, {13,43}, {11,29}, {5,30}, {6,44}, {17,30}, {15,35}, {12,28}, {15,34}, {13,25}, {18,24}, {8,35}, {13,28}, {1,28}, {14,41}, {4,28}, {4,43}, {18,33}, {3,29}, {6,23}, {1,43}, {13,36}, {8,26}, {18,31}, {16,22}, {9,22}, {7,31}, {10,43}, {4,36}, {5,41}, {9,40}, {8,32}, {16,45}, {8,21}, {3,19}, {12,23}, {13,24}, {11,24}, {12,19}, {6,26}, {12,40}, {3,23}, {8,23}, {18,25}, {5,36}, {1,25}, {17,41}, {6,41}, {9,30}, {13,27}, {1,35}, {13,42}, {1,37}, {14,20}, {5,39}, {16,21}, {7,28}, {4,37}, {11,26}, {14,45}, {10,35}, {13,19}, {16,36}, {2,29}, {11,27}, {1,26}, {4,34}, {10,34}, {15,22}, {18,22}, {14,32}, {8,24}, {6,25}, {9,33}, {6,34}, {5,27}, {16,39}, {9,39}, {10,19}, {4,25}, {3,38}, {11,45}, {3,28}, {7,27}, {7,45}, {15,23}, {13,37}, {5,45}, {3,41}, {3,31}, {9,24}, {18,40}, {10,20}, {17,26}, {12,31}, {13,34}, {17,42}, {5,21}, {13,45}, {7,37}, {9,31}, {1,34}, {7,19}, {6,35}, {17,32}, {11,42}, {9,21}, {16,28}, {7,40}, {7,21}, {14,27}, {14,29} }; // ETB45.53 (= ET45.69) // Bipartite(18,27) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1451188224 EdgesBipt[45][53]:={ {3,33}, {10,24}, {1,20}, {11,20}, {9,28}, {6,32}, {17,36}, {12,29}, {11,35}, {14,19}, {16,33}, {18,29}, {4,26}, {3,22}, {3,40}, {17,38}, {18,32}, {11,25}, {8,30}, {16,40}, {8,43}, {9,45}, {12,22}, {16,31}, {18,38}, {15,31}, {3,45}, {10,23}, {12,38}, {10,26}, {17,20}, {12,39}, {7,22}, {4,31}, {10,33}, {2,27}, {1,19}, {9,43}, {13,35}, {14,31}, {8,39}, {1,21}, {16,25}, {12,35}, {7,36}, {17,21}, {10,44}, {8,25}, {1,30}, {18,41}, {5,32}, {14,28}, {8,44}, {4,23}, {8,27}, {13,29}, {18,34}, {18,42}, {11,28}, {16,43}, {10,30}, {2,45}, {16,30}, {15,29}, {6,21}, {2,25}, {11,38}, {1,38}, {2,34}, {14,33}, {2,36}, {4,22}, {15,32}, {16,24}, {18,20}, {9,27}, {12,20}, {15,40}, {4,41}, {2,38}, {9,19}, {12,44}, {8,45}, {14,40}, {7,39}, {17,39}, {17,23}, {10,41}, {14,24}, {11,44}, {6,30}, {6,43}, {5,23}, {9,34}, {15,19}, {10,21}, {9,42}, {2,20}, {1,29}, {7,30}, {3,32}, {4,35}, {9,25}, {15,41}, {8,36}, {13,33}, {18,43}, {11,29}, {13,44}, {17,30}, {9,37}, {17,27}, {15,37}, {14,42}, {18,24}, {8,35}, {10,42}, {15,20}, {1,28}, {3,27}, {14,37}, {4,43}, {1,33}, {18,33}, {6,23}, {5,28}, {13,36}, {8,26}, {12,26}, {16,22}, {7,31}, {5,41}, {8,21}, {1,42}, {1,24}, {14,22}, {13,24}, {5,44}, {12,40}, {12,30}, {3,23}, {1,39}, {10,32}, {18,25}, {17,29}, {5,36}, {6,19}, {17,41}, {6,41}, {6,28}, {18,23}, {10,39}, {13,27}, {13,42}, {1,37}, {16,34}, {16,21}, {7,28}, {11,26}, {13,26}, {4,40}, {10,35}, {8,34}, {11,37}, {3,24}, {2,29}, {2,22}, {4,34}, {14,44}, {15,22}, {6,25}, {2,40}, {2,31}, {9,33}, {9,36}, {16,42}, {6,34}, {5,27}, {15,38}, {5,26}, {3,42}, {15,28}, {16,39}, {13,38}, {11,19}, {4,25}, {17,45}, {7,27}, {7,45}, {14,35}, {15,23}, {5,45}, {3,41}, {3,31}, {9,24}, {6,39}, {12,31}, {6,37}, {11,34}, {5,19}, {11,43}, {13,45}, {7,37}, {13,20}, {5,35}, {5,37}, {7,19}, {2,43}, {17,32}, {3,36}, {7,40}, {4,44}, {7,21}, {4,32}, {12,21}, {14,26} }; // ETB45.54 (= ET45.70) // Bipartite(18,27) Valencies [12,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 663552 EdgesBipt[45][54]:={ {3,33}, {16,41}, {10,25}, {1,20}, {10,24}, {11,20}, {9,28}, {6,32}, {17,35}, {17,36}, {18,39}, {12,29}, {13,21}, {11,35}, {5,34}, {13,40}, {4,24}, {16,33}, {3,40}, {17,38}, {12,45}, {18,32}, {11,25}, {16,27}, {14,39}, {2,23}, {8,43}, {5,38}, {7,38}, {15,31}, {4,29}, {3,45}, {8,33}, {12,38}, {7,41}, {7,44}, {1,40}, {10,26}, {14,38}, {12,39}, {7,22}, {15,44}, {1,19}, {3,37}, {2,26}, {18,21}, {8,25}, {2,28}, {12,34}, {1,30}, {16,23}, {14,28}, {8,31}, {13,29}, {12,37}, {2,42}, {18,34}, {10,22}, {15,25}, {11,28}, {16,43}, {10,30}, {15,45}, {16,30}, {3,34}, {2,25}, {6,31}, {8,19}, {7,20}, {17,37}, {9,32}, {14,36}, {15,32}, {4,41}, {9,19}, {5,43}, {12,44}, {8,45}, {4,42}, {2,39}, {7,32}, {17,23}, {7,43}, {11,31}, {14,24}, {2,35}, {17,33}, {1,22}, {15,27}, {3,44}, {6,30}, {4,33}, {4,21}, {10,29}, {9,34}, {15,19}, {2,20}, {10,40}, {17,43}, {1,29}, {7,30}, {3,39}, {18,30}, {11,21}, {15,41}, {8,36}, {2,32}, {13,33}, {16,32}, {11,23}, {13,43}, {11,29}, {13,44}, {6,44}, {5,24}, {15,37}, {8,22}, {14,42}, {18,24}, {8,35}, {10,42}, {13,28}, {15,20}, {14,41}, {3,27}, {4,28}, {4,43}, {3,29}, {3,26}, {16,38}, {8,37}, {5,28}, {13,36}, {15,36}, {17,31}, {18,31}, {5,42}, {12,26}, {16,22}, {9,22}, {12,33}, {5,41}, {4,36}, {12,27}, {9,40}, {1,42}, {1,24}, {13,24}, {6,27}, {17,25}, {11,39}, {12,40}, {8,23}, {14,34}, {18,19}, {5,36}, {3,21}, {17,19}, {1,25}, {6,19}, {16,44}, {6,41}, {18,23}, {9,30}, {1,35}, {13,42}, {5,39}, {4,37}, {11,26}, {14,45}, {4,40}, {10,35}, {7,23}, {6,36}, {2,21}, {2,29}, {16,35}, {18,28}, {6,45}, {8,38}, {1,26}, {10,34}, {18,22}, {11,32}, {16,20}, {6,25}, {13,41}, {2,31}, {5,27}, {14,43}, {5,26}, {9,39}, {10,19}, {17,45}, {3,38}, {7,27}, {13,37}, {5,45}, {9,24}, {18,40}, {10,20}, {7,33}, {6,37}, {6,20}, {7,35}, {17,22}, {15,30}, {9,31}, {1,34}, {11,42}, {9,21}, {4,44}, {9,23}, {14,27}, {12,21}, {14,26} }; // ETB45.55 (= ET45.77) // Bipartite(10,35) Valencies [14,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1040645140512768000000 EdgesBipt[45][55]:={ {4,35}, {9,13}, {10,19}, {7,42}, {5,32}, {6,39}, {9,40}, {5,14}, {8,31}, {10,22}, {1,11}, {9,30}, {2,22}, {6,14}, {5,42}, {3,38}, {6,36}, {1,31}, {7,40}, {10,27}, {8,36}, {6,41}, {9,45}, {2,20}, {4,40}, {5,34}, {2,37}, {5,24}, {7,27}, {7,45}, {1,44}, {10,44}, {7,15}, {3,31}, {6,34}, {2,15}, {8,13}, {8,41}, {5,37}, {1,29}, {3,18}, {3,41}, {1,34}, {9,38}, {3,11}, {4,20}, {10,34}, {6,11}, {8,33}, {9,43}, {8,28}, {1,36}, {3,13}, {10,12}, {2,32}, {1,16}, {6,21}, {4,33}, {2,17}, {8,18}, {8,21}, {4,28}, {10,39}, {7,25}, {4,43}, {10,37}, {5,19}, {9,23}, {10,24}, {7,20}, {8,26}, {3,23}, {4,45}, {5,29}, {2,42}, {4,30}, {6,26}, {1,19}, {2,40}, {8,11}, {7,30}, {2,35}, {9,25}, {4,15}, {4,25}, {9,15}, {10,29}, {1,26}, {6,29}, {7,35}, {4,38}, {6,31}, {9,33}, {5,22}, {2,27}, {6,19}, {5,27}, {9,35}, {1,39}, {8,38}, {8,43}, {2,12}, {9,28}, {10,14}, {3,28}, {3,26}, {5,17}, {8,16}, {8,23}, {6,16}, {3,21}, {1,14}, {1,41}, {9,18}, {10,17}, {10,42}, {7,22}, {3,16}, {4,18}, {7,32}, {10,32}, {7,37}, {5,12}, {2,25}, {3,36}, {6,24}, {6,44}, {3,43}, {5,44}, {3,33}, {7,17}, {4,23}, {7,12}, {5,39}, {4,13}, {1,21}, {2,30}, {9,20}, {1,24}, {2,45} }; // ETB45.56 (= ET45.78) // Bipartite(10,35) Valencies [14,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 390241927692288000000 EdgesBipt[45][56]:={ {1,11}, {3,33}, {10,25}, {5,34}, {8,12}, {4,26}, {3,22}, {4,16}, {9,45}, {8,42}, {3,13}, {3,43}, {10,23}, {7,44}, {2,15}, {7,22}, {4,31}, {10,33}, {2,27}, {1,19}, {5,20}, {3,37}, {7,34}, {1,21}, {9,35}, {4,23}, {8,31}, {8,27}, {9,11}, {10,15}, {2,42}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {2,45}, {4,38}, {2,25}, {5,40}, {7,12}, {10,38}, {9,26}, {1,44}, {4,41}, {5,29}, {8,41}, {2,37}, {7,39}, {9,41}, {5,25}, {7,32}, {1,31}, {3,12}, {10,28}, {2,35}, {6,43}, {4,33}, {4,21}, {2,20}, {6,18}, {10,40}, {1,29}, {8,17}, {3,32}, {9,25}, {8,36}, {6,33}, {2,32}, {6,24}, {5,30}, {6,44}, {7,17}, {8,11}, {5,24}, {8,22}, {5,14}, {9,20}, {4,13}, {7,14}, {3,27}, {4,28}, {4,43}, {10,13}, {10,45}, {6,23}, {8,37}, {8,26}, {2,17}, {4,36}, {10,43}, {9,40}, {8,32}, {8,21}, {1,24}, {5,44}, {3,23}, {1,39}, {6,19}, {7,29}, {6,28}, {6,14}, {9,30}, {5,39}, {10,35}, {1,26}, {2,22}, {1,16}, {10,18}, {6,38}, {2,40}, {9,36}, {6,34}, {3,42}, {4,18}, {3,38}, {4,11}, {3,28}, {7,27}, {1,41}, {5,45}, {7,24}, {2,12}, {1,14}, {10,20}, {6,39}, {5,15}, {5,19}, {9,15}, {2,30}, {6,13}, {7,37}, {5,35}, {9,31}, {1,34}, {7,19}, {9,21}, {9,16}, {7,42}, {1,36} }; // ETB45.57 (= ET45.79) // Bipartite(15,30) Valencies [14,7] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 660602880 EdgesBipt[45][57]:={ {2,44}, {10,24}, {1,20}, {13,32}, {2,33}, {6,16}, {6,32}, {4,27}, {13,21}, {14,19}, {3,22}, {4,16}, {4,30}, {6,17}, {8,43}, {7,38}, {8,42}, {8,28}, {4,29}, {3,45}, {1,27}, {10,23}, {12,38}, {1,40}, {7,22}, {4,31}, {15,44}, {10,33}, {5,20}, {3,37}, {2,26}, {14,31}, {8,39}, {11,41}, {1,21}, {15,43}, {10,44}, {8,25}, {2,41}, {12,34}, {1,30}, {9,35}, {8,44}, {8,27}, {6,22}, {15,29}, {2,25}, {11,38}, {11,33}, {6,31}, {6,40}, {2,36}, {5,22}, {10,38}, {1,18}, {7,20}, {9,32}, {9,26}, {9,27}, {12,36}, {8,41}, {2,37}, {5,43}, {14,30}, {14,40}, {4,42}, {9,41}, {7,32}, {11,22}, {4,45}, {7,43}, {7,25}, {15,27}, {3,44}, {12,16}, {4,33}, {10,29}, {15,19}, {15,42}, {9,42}, {14,16}, {12,43}, {7,30}, {3,39}, {2,32}, {5,18}, {11,23}, {13,43}, {6,24}, {7,17}, {11,30}, {15,35}, {5,24}, {12,28}, {12,25}, {15,37}, {1,45}, {15,34}, {13,28}, {15,20}, {9,20}, {14,41}, {4,28}, {1,33}, {4,43}, {3,29}, {5,28}, {13,36}, {15,36}, {8,26}, {12,33}, {13,30}, {5,41}, {2,17}, {1,42}, {1,24}, {12,23}, {5,31}, {6,27}, {13,24}, {12,19}, {8,40}, {12,40}, {3,23}, {8,23}, {14,34}, {1,39}, {10,32}, {3,21}, {1,25}, {6,19}, {10,39}, {1,35}, {14,20}, {15,21}, {5,39}, {14,25}, {7,28}, {3,16}, {11,26}, {6,42}, {13,26}, {14,45}, {10,35}, {7,23}, {13,19}, {2,21}, {3,30}, {5,33}, {10,17}, {11,37}, {3,24}, {2,29}, {11,27}, {8,38}, {2,22}, {14,44}, {10,34}, {15,22}, {9,17}, {10,18}, {8,24}, {6,25}, {13,41}, {2,40}, {9,36}, {6,34}, {5,26}, {4,18}, {15,28}, {9,38}, {11,19}, {10,19}, {3,38}, {11,45}, {7,45}, {14,35}, {3,31}, {10,20}, {6,39}, {12,31}, {6,37}, {11,34}, {13,34}, {7,35}, {13,39}, {13,17}, {13,45}, {7,37}, {5,35}, {2,18}, {9,31}, {5,37}, {4,17}, {11,42}, {9,16}, {3,36}, {9,21}, {7,40}, {4,44}, {9,23}, {8,29}, {4,32}, {12,18}, {11,18}, {12,21}, {1,36}, {14,29}, {14,26}, {5,16} }; // ETB45.58 (= ET45.80) // Bipartite(20,25) Valencies [15,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 28800 EdgesBipt[45][58]:={ {18,45}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {11,25}, {4,28}, {5,45}, {12,22}, {3,26}, {8,26}, {14,38}, {13,39}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {14,31}, {15,27}, {8,23}, {1,21}, {14,45}, {3,21}, {16,37}, {3,39}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {19,21}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {2,34}, {20,26}, {2,25}, {4,24}, {16,42}, {8,30}, {20,43}, {8,37}, {5,41}, {17,39}, {12,38}, {13,30}, {7,27}, {12,42}, {6,39}, {10,26}, {7,33}, {12,31}, {20,29}, {17,26}, {13,24}, {20,39}, {5,37}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {16,34}, {15,45}, {10,35}, {18,39}, {8,38}, {13,26}, {6,24}, {5,34}, {1,38}, {14,32}, {2,36}, {16,40}, {8,22}, {18,29}, {9,39}, {8,42}, {18,26}, {4,22}, {18,33}, {3,43}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {12,24}, {19,38}, {1,31}, {3,31}, {11,22}, {5,35}, {14,34}, {3,36}, {19,23}, {4,21}, {20,25}, {4,32}, {2,44}, {14,28}, {11,21}, {3,30}, {2,24}, {3,24}, {10,36}, {15,37}, {15,34}, {8,41}, {9,26}, {17,31}, {13,36}, {1,41}, {2,23}, {20,22}, {4,45}, {12,41}, {3,44}, {20,31}, {3,25}, {19,24}, {17,28}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {10,31}, {10,44}, {18,25}, {13,22}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {18,44}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {8,34}, {9,25}, {17,30}, {10,30}, {6,22}, {12,29}, {11,32}, {15,24}, {16,26}, {12,25}, {15,40}, {3,42}, {14,37}, {1,44}, {13,38}, {19,44}, {14,40}, {9,41}, {16,45}, {4,36}, {4,29}, {19,29}, {6,43}, {9,24}, {17,22}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {20,32}, {18,41}, {10,40}, {18,21}, {10,21}, {7,29}, {8,29}, {9,23}, {7,21}, {13,44}, {2,45}, {16,36}, {13,32}, {11,30}, {19,33}, {19,39}, {2,21}, {4,27}, {19,43}, {18,28}, {5,24}, {15,29}, {8,43}, {2,31}, {16,38}, {11,45}, {1,33}, {18,27}, {12,36}, {16,27}, {3,45}, {19,25}, {2,37}, {5,29}, {10,41}, {4,25}, {14,30}, {7,31}, {8,33}, {11,31}, {20,33}, {14,24}, {13,34}, {11,41}, {7,22}, {6,26}, {15,42}, {1,34}, {13,35}, {7,42}, {17,40}, {20,23}, {12,34}, {19,36}, {6,28}, {16,23}, {6,42}, {18,23}, {13,33}, {18,43}, {15,21}, {7,26}, {11,37}, {11,28}, {1,23}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {17,27}, {8,35}, {13,23}, {17,45}, {9,45}, {17,37}, {16,39}, {1,28}, {16,24}, {3,27}, {7,38}, {12,32}, {15,36}, {10,43}, {7,44}, {8,28}, {7,43}, {18,40}, {9,40}, {1,27}, {5,25}, {17,23}, {10,23}, {9,43}, {14,22}, {9,42}, {9,34}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {20,21}, {1,37}, {6,33}, {12,21}, {2,32}, {15,25}, {5,33}, {18,37}, {9,37}, {6,40} }; // ETB45.59 (= ET45.81) // Bipartite(20,25) Valencies [15,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3057647616000000 EdgesBipt[45][59]:={ {13,21}, {15,33}, {19,28}, {11,40}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {19,26}, {11,25}, {5,43}, {3,26}, {8,26}, {1,40}, {16,22}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {3,35}, {10,33}, {8,21}, {3,23}, {10,39}, {3,21}, {14,45}, {16,37}, {19,37}, {20,37}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {14,29}, {16,21}, {19,21}, {13,40}, {14,44}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {20,38}, {2,34}, {19,31}, {2,25}, {4,24}, {16,42}, {18,32}, {4,30}, {9,33}, {20,43}, {7,45}, {8,37}, {20,24}, {5,41}, {12,26}, {13,30}, {7,27}, {19,22}, {11,39}, {7,33}, {12,31}, {12,40}, {20,29}, {1,24}, {20,39}, {16,25}, {1,29}, {19,42}, {18,39}, {13,26}, {2,29}, {5,34}, {1,38}, {14,32}, {2,36}, {13,41}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {1,43}, {8,42}, {18,26}, {4,22}, {18,36}, {3,38}, {3,43}, {15,28}, {5,28}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {3,31}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {3,36}, {19,23}, {4,32}, {2,44}, {1,30}, {19,27}, {6,36}, {3,30}, {2,24}, {11,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {8,41}, {9,38}, {9,26}, {13,36}, {20,22}, {4,45}, {15,23}, {12,41}, {9,22}, {11,44}, {13,45}, {3,25}, {11,34}, {17,28}, {7,35}, {12,30}, {6,30}, {11,24}, {9,31}, {10,44}, {10,29}, {1,25}, {13,31}, {5,39}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {20,44}, {19,41}, {8,34}, {17,30}, {10,22}, {16,30}, {7,23}, {12,45}, {6,22}, {4,34}, {17,38}, {12,29}, {6,31}, {15,24}, {16,26}, {12,25}, {14,37}, {1,44}, {13,38}, {18,31}, {14,40}, {9,41}, {16,31}, {16,45}, {3,41}, {15,39}, {4,29}, {6,37}, {8,32}, {10,28}, {5,31}, {17,22}, {17,25}, {4,44}, {7,40}, {2,41}, {5,23}, {20,32}, {2,26}, {18,41}, {18,21}, {9,21}, {8,29}, {9,23}, {8,36}, {8,27}, {2,45}, {3,33}, {16,36}, {1,45}, {11,30}, {19,33}, {9,28}, {2,21}, {4,27}, {19,43}, {5,24}, {15,29}, {18,24}, {2,31}, {11,45}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {3,45}, {12,44}, {5,26}, {4,42}, {5,29}, {4,25}, {14,30}, {3,28}, {12,39}, {20,27}, {20,33}, {14,24}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {7,42}, {6,41}, {17,40}, {20,23}, {12,34}, {8,44}, {19,36}, {6,42}, {4,35}, {19,32}, {13,33}, {15,21}, {14,25}, {20,34}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {3,40}, {17,27}, {13,23}, {2,40}, {6,21}, {17,45}, {17,37}, {13,28}, {1,28}, {9,27}, {7,38}, {15,36}, {10,43}, {15,31}, {7,43}, {5,44}, {17,23}, {10,23}, {15,26}, {9,43}, {8,39}, {14,22}, {9,42}, {5,36}, {15,43}, {10,32}, {4,39}, {12,35}, {6,35}, {17,32}, {17,43}, {18,42}, {16,32}, {12,21}, {18,34}, {5,33}, {18,37}, {11,38}, {9,37}, {6,40} }; // ETB45.60 (= ET45.82) // Bipartite(5,40) Valencies [16,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1065620623885074432000000 EdgesBipt[45][60]:={ {5,12}, {1,26}, {4,8}, {4,13}, {5,42}, {4,23}, {5,32}, {1,14}, {2,37}, {1,44}, {1,24}, {5,37}, {5,24}, {2,32}, {2,30}, {1,29}, {5,29}, {2,10}, {5,27}, {1,39}, {4,10}, {3,21}, {2,40}, {1,6}, {1,36}, {4,40}, {3,33}, {3,38}, {4,43}, {3,8}, {3,23}, {2,45}, {1,31}, {2,12}, {5,44}, {4,30}, {5,9}, {5,7}, {4,18}, {4,33}, {2,7}, {3,11}, {3,16}, {3,28}, {2,20}, {1,16}, {4,45}, {4,38}, {5,19}, {1,21}, {4,20}, {5,17}, {2,15}, {3,18}, {3,31}, {3,26}, {4,15}, {4,28}, {5,39}, {2,27}, {3,6}, {4,25}, {2,42}, {5,14}, {2,17}, {3,41}, {3,13}, {5,34}, {2,35}, {1,19}, {1,9}, {1,41}, {2,25}, {4,35}, {1,34}, {1,11}, {5,22}, {2,22}, {3,36}, {3,43} }; // ETB45.61 (= ET45.83) // Bipartite(5,40) Valencies [16,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7608405715845120 EdgesBipt[45][61]:={ {1,26}, {1,14}, {2,37}, {1,44}, {1,24}, {4,41}, {5,37}, {4,36}, {5,24}, {2,32}, {1,29}, {1,33}, {5,27}, {1,43}, {4,11}, {1,39}, {4,10}, {5,10}, {3,21}, {2,43}, {1,36}, {1,6}, {4,40}, {5,40}, {3,38}, {5,15}, {4,31}, {3,8}, {4,16}, {3,9}, {2,12}, {5,44}, {3,29}, {2,33}, {4,6}, {4,30}, {4,32}, {4,12}, {5,20}, {5,7}, {5,25}, {2,7}, {3,11}, {1,16}, {3,28}, {3,15}, {2,38}, {3,25}, {2,18}, {4,21}, {4,20}, {5,45}, {3,19}, {5,17}, {3,18}, {3,31}, {5,30}, {2,27}, {4,22}, {3,45}, {3,39}, {2,28}, {2,42}, {5,14}, {2,17}, {3,41}, {2,23}, {5,34}, {1,13}, {5,35}, {1,19}, {1,9}, {4,26}, {2,13}, {2,8}, {1,34}, {1,23}, {4,42}, {2,22}, {3,35} }; // ETB45.62 (= ET45.84) // Bipartite(9,36) Valencies [16,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[45][62]:={ {2,44}, {3,33}, {5,17}, {2,33}, {6,32}, {4,27}, {4,24}, {4,26}, {3,40}, {1,10}, {2,23}, {8,43}, {7,38}, {8,42}, {8,28}, {3,13}, {3,25}, {7,41}, {7,44}, {7,22}, {4,31}, {2,27}, {5,20}, {3,37}, {7,34}, {7,36}, {8,25}, {2,14}, {8,15}, {9,35}, {8,44}, {8,27}, {9,11}, {6,22}, {6,29}, {3,17}, {2,45}, {2,25}, {6,40}, {1,38}, {1,17}, {5,22}, {4,22}, {8,19}, {1,18}, {7,11}, {9,32}, {2,10}, {9,19}, {9,41}, {2,39}, {1,31}, {7,43}, {6,12}, {6,30}, {4,21}, {9,34}, {2,20}, {6,18}, {1,29}, {9,25}, {7,16}, {8,36}, {2,32}, {5,30}, {5,24}, {9,37}, {8,13}, {8,35}, {5,14}, {9,20}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {6,23}, {3,10}, {1,43}, {8,26}, {5,42}, {5,12}, {8,32}, {3,19}, {1,39}, {5,36}, {3,21}, {9,12}, {6,41}, {1,15}, {6,28}, {2,11}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {3,30}, {5,33}, {8,34}, {9,18}, {2,29}, {6,45}, {1,26}, {1,16}, {9,17}, {8,24}, {6,38}, {2,31}, {9,33}, {6,10}, {5,26}, {3,42}, {4,18}, {3,38}, {4,11}, {4,12}, {4,20}, {7,45}, {1,41}, {5,45}, {7,24}, {3,31}, {1,14}, {5,15}, {9,15}, {2,30}, {6,13}, {5,35}, {1,34}, {7,19}, {2,43}, {6,35}, {9,21}, {3,36}, {4,39}, {7,40}, {4,44}, {9,23}, {7,21}, {8,29}, {5,16} }; // ETB45.63 (= ET45.85) // Bipartite(9,36) Valencies [16,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 190210142896128 EdgesBipt[45][63]:={ {2,44}, {1,11}, {2,24}, {1,20}, {2,33}, {6,16}, {6,32}, {4,27}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {8,30}, {6,17}, {5,38}, {8,42}, {3,13}, {8,33}, {2,15}, {4,19}, {7,22}, {1,19}, {2,27}, {5,20}, {3,37}, {9,43}, {2,26}, {8,39}, {7,36}, {5,32}, {8,15}, {8,44}, {2,42}, {6,22}, {2,45}, {7,12}, {6,40}, {6,31}, {1,38}, {4,10}, {1,17}, {2,36}, {3,14}, {5,11}, {1,44}, {5,29}, {8,41}, {2,38}, {8,14}, {7,39}, {4,42}, {4,45}, {7,13}, {2,35}, {6,43}, {4,33}, {5,23}, {3,20}, {9,34}, {9,42}, {2,20}, {1,29}, {7,30}, {8,17}, {3,32}, {9,25}, {5,18}, {5,30}, {6,44}, {8,35}, {5,14}, {4,15}, {1,28}, {3,11}, {4,28}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {8,26}, {9,22}, {7,31}, {5,41}, {4,36}, {2,17}, {9,13}, {5,12}, {9,40}, {8,32}, {8,21}, {3,19}, {6,26}, {3,23}, {8,23}, {5,36}, {1,25}, {9,12}, {6,41}, {6,14}, {9,30}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {4,37}, {2,29}, {1,26}, {4,34}, {1,16}, {8,24}, {6,25}, {9,33}, {6,34}, {5,27}, {4,18}, {9,39}, {4,25}, {3,38}, {3,28}, {7,27}, {7,10}, {7,45}, {5,45}, {3,41}, {3,31}, {9,24}, {5,21}, {9,15}, {6,13}, {7,37}, {2,18}, {9,31}, {1,34}, {7,19}, {6,35}, {9,21}, {9,16}, {7,40}, {7,21}, {7,18} }; // ETB45.64 (= ET45.86) // Bipartite(9,36) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[45][64]:={ {1,15}, {7,43}, {5,32}, {9,40}, {6,12}, {5,14}, {3,15}, {8,39}, {8,31}, {2,38}, {4,42}, {6,10}, {6,18}, {9,30}, {2,22}, {5,30}, {5,42}, {6,36}, {2,11}, {6,41}, {6,23}, {2,20}, {7,38}, {4,16}, {9,12}, {7,33}, {5,24}, {1,38}, {6,25}, {7,31}, {7,27}, {7,45}, {1,32}, {6,40}, {7,15}, {5,13}, {3,10}, {2,28}, {3,34}, {6,45}, {5,26}, {8,14}, {8,13}, {8,41}, {9,17}, {6,22}, {7,11}, {2,29}, {3,19}, {4,12}, {5,37}, {8,22}, {1,34}, {6,43}, {5,33}, {2,10}, {1,10}, {4,39}, {1,36}, {1,16}, {8,21}, {7,29}, {9,34}, {4,29}, {7,25}, {4,43}, {5,19}, {5,15}, {7,20}, {8,35}, {6,37}, {7,13}, {8,17}, {4,31}, {2,42}, {4,30}, {2,40}, {4,21}, {4,25}, {8,19}, {2,44}, {8,40}, {7,35}, {2,24}, {4,11}, {2,27}, {6,19}, {9,44}, {3,35}, {1,23}, {2,21}, {5,27}, {5,45}, {6,30}, {9,35}, {7,18}, {2,39}, {8,38}, {8,32}, {3,28}, {3,26}, {5,31}, {8,20}, {8,23}, {1,42}, {9,26}, {3,21}, {1,14}, {1,41}, {9,18}, {3,44}, {3,39}, {1,20}, {9,11}, {3,16}, {3,25}, {9,29}, {2,26}, {1,33}, {5,12}, {9,14}, {1,28}, {3,17}, {8,37}, {3,37}, {9,32}, {3,43}, {9,36}, {4,34}, {6,27}, {4,41}, {5,44}, {9,16}, {3,33}, {7,36}, {7,17}, {4,23}, {4,13}, {1,18}, {4,24}, {1,24}, {2,45}, {6,28}, {9,22} }; // ETB45.65 (= ET45.87) // Bipartite(15,30) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 660602880 EdgesBipt[45][65]:={ {3,33}, {2,24}, {5,17}, {11,20}, {9,28}, {13,32}, {2,33}, {6,32}, {4,27}, {11,35}, {5,34}, {13,40}, {14,19}, {15,24}, {4,26}, {12,45}, {11,25}, {8,30}, {6,17}, {14,39}, {2,23}, {8,43}, {5,38}, {12,22}, {12,32}, {8,28}, {8,33}, {1,27}, {10,23}, {7,44}, {1,40}, {10,26}, {4,19}, {9,44}, {14,38}, {2,27}, {10,33}, {9,43}, {14,31}, {8,39}, {1,21}, {12,35}, {7,36}, {8,25}, {10,44}, {2,28}, {12,34}, {1,30}, {5,32}, {14,28}, {8,44}, {12,37}, {13,16}, {2,42}, {6,22}, {15,25}, {3,18}, {10,30}, {6,29}, {3,34}, {5,40}, {14,23}, {11,38}, {11,33}, {2,36}, {8,19}, {9,29}, {10,38}, {7,20}, {9,32}, {12,17}, {9,26}, {12,20}, {12,36}, {15,40}, {5,29}, {4,41}, {2,38}, {9,19}, {2,37}, {8,45}, {14,30}, {7,39}, {4,42}, {9,41}, {5,25}, {2,39}, {7,32}, {15,26}, {1,31}, {10,41}, {11,22}, {7,43}, {7,25}, {10,28}, {11,31}, {14,24}, {11,44}, {1,22}, {3,44}, {6,30}, {4,33}, {12,16}, {5,23}, {10,29}, {9,34}, {15,19}, {10,21}, {14,16}, {13,18}, {3,39}, {13,31}, {4,35}, {7,16}, {15,41}, {2,32}, {13,33}, {11,23}, {6,24}, {11,29}, {5,30}, {6,44}, {7,17}, {15,35}, {9,37}, {13,23}, {15,37}, {8,22}, {1,45}, {14,42}, {15,34}, {13,25}, {15,20}, {1,28}, {3,27}, {4,28}, {4,43}, {10,45}, {3,29}, {1,43}, {3,26}, {8,37}, {15,36}, {5,42}, {9,22}, {7,31}, {12,33}, {13,30}, {2,17}, {10,43}, {1,42}, {3,19}, {6,27}, {13,24}, {5,44}, {6,26}, {8,40}, {12,19}, {12,30}, {14,34}, {5,36}, {3,21}, {1,25}, {7,29}, {6,41}, {1,37}, {14,20}, {15,21}, {7,28}, {3,16}, {6,42}, {13,26}, {14,45}, {4,40}, {10,35}, {11,16}, {2,21}, {8,34}, {3,24}, {11,37}, {11,27}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {10,36}, {15,22}, {9,17}, {10,18}, {8,24}, {13,41}, {11,40}, {5,27}, {14,43}, {15,38}, {8,18}, {3,42}, {4,18}, {13,38}, {9,38}, {4,25}, {4,20}, {14,35}, {15,23}, {1,41}, {5,45}, {3,41}, {7,24}, {3,31}, {15,39}, {10,20}, {6,39}, {6,37}, {12,31}, {5,19}, {6,20}, {7,35}, {13,39}, {5,21}, {13,17}, {13,45}, {2,18}, {9,31}, {2,43}, {4,17}, {6,35}, {3,36}, {9,16}, {11,42}, {7,40}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {12,18}, {11,18}, {1,36}, {12,21} }; // ETB45.66 (= ET45.88) // Bipartite(15,30) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[45][66]:={ {2,44}, {11,17}, {3,33}, {2,24}, {10,25}, {11,20}, {13,32}, {2,33}, {6,16}, {6,32}, {13,21}, {11,35}, {5,34}, {4,24}, {14,19}, {15,24}, {4,26}, {3,40}, {4,30}, {11,25}, {8,30}, {6,17}, {14,39}, {2,23}, {9,45}, {12,22}, {12,32}, {8,42}, {4,29}, {1,32}, {3,45}, {3,43}, {3,25}, {10,23}, {12,38}, {10,26}, {7,22}, {12,41}, {15,44}, {1,19}, {2,27}, {13,35}, {14,31}, {8,39}, {12,35}, {7,36}, {8,25}, {10,44}, {9,35}, {14,28}, {4,23}, {8,31}, {8,27}, {12,37}, {13,29}, {2,42}, {6,22}, {3,18}, {11,28}, {6,29}, {8,16}, {2,45}, {4,38}, {15,29}, {3,34}, {5,40}, {11,38}, {6,40}, {6,31}, {1,38}, {14,33}, {1,17}, {5,22}, {8,19}, {10,38}, {9,32}, {14,21}, {14,36}, {12,17}, {15,32}, {9,26}, {9,27}, {12,20}, {1,44}, {4,41}, {2,38}, {5,43}, {8,45}, {5,25}, {9,41}, {2,39}, {15,26}, {1,31}, {10,41}, {4,45}, {11,22}, {7,43}, {7,25}, {10,28}, {14,24}, {2,35}, {11,44}, {1,22}, {15,27}, {4,33}, {12,16}, {4,21}, {10,29}, {10,31}, {15,42}, {9,42}, {2,20}, {14,16}, {10,40}, {12,43}, {1,29}, {7,30}, {3,39}, {4,35}, {7,16}, {15,41}, {8,36}, {2,32}, {5,18}, {1,23}, {11,23}, {11,29}, {13,44}, {5,30}, {6,44}, {5,24}, {12,28}, {12,25}, {8,22}, {14,42}, {9,20}, {1,28}, {14,37}, {15,17}, {1,43}, {8,37}, {5,28}, {13,36}, {15,36}, {5,42}, {12,26}, {7,31}, {13,30}, {2,17}, {4,36}, {10,43}, {8,21}, {3,19}, {14,18}, {12,23}, {14,22}, {13,24}, {6,26}, {8,40}, {12,40}, {14,34}, {3,21}, {6,19}, {6,41}, {9,30}, {13,27}, {13,42}, {1,37}, {15,21}, {5,39}, {7,28}, {3,16}, {13,26}, {15,18}, {10,35}, {3,30}, {5,33}, {8,34}, {9,18}, {3,24}, {11,37}, {2,29}, {1,26}, {1,16}, {10,34}, {11,32}, {9,17}, {15,33}, {8,24}, {6,25}, {13,41}, {11,40}, {9,33}, {9,36}, {6,34}, {5,27}, {14,43}, {15,38}, {4,18}, {9,38}, {11,19}, {10,19}, {4,20}, {3,28}, {7,27}, {7,45}, {15,23}, {1,41}, {5,45}, {3,31}, {15,39}, {10,20}, {7,33}, {6,37}, {12,31}, {11,34}, {5,19}, {6,20}, {13,39}, {11,43}, {2,30}, {13,17}, {13,45}, {7,37}, {13,20}, {2,18}, {1,34}, {5,37}, {6,35}, {9,21}, {3,36}, {4,39}, {7,40}, {7,42}, {9,23}, {4,44}, {7,21}, {14,27}, {7,18}, {10,16} }; // ETB45.67 (= ET45.89) // Bipartite(21,24) Valencies [16,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 50350574478569766912000000 EdgesBipt[45][67]:={ {15,33}, {18,45}, {19,28}, {10,37}, {14,36}, {6,25}, {5,38}, {19,26}, {4,28}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {16,22}, {14,38}, {17,42}, {2,35}, {17,33}, {4,31}, {21,30}, {15,27}, {8,23}, {14,45}, {16,37}, {3,39}, {19,37}, {16,28}, {21,28}, {5,32}, {1,35}, {4,37}, {4,40}, {21,22}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {11,35}, {11,29}, {11,27}, {19,40}, {20,38}, {20,26}, {12,28}, {19,31}, {4,43}, {21,40}, {8,30}, {9,33}, {20,24}, {5,41}, {17,39}, {7,41}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {12,31}, {12,40}, {20,29}, {17,26}, {15,30}, {20,39}, {16,25}, {20,35}, {1,29}, {12,37}, {16,34}, {16,43}, {10,35}, {15,45}, {18,39}, {4,23}, {8,38}, {13,26}, {17,36}, {6,24}, {2,29}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {18,33}, {18,36}, {5,27}, {3,43}, {15,28}, {20,41}, {2,39}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {19,23}, {17,29}, {4,32}, {2,44}, {21,45}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {21,25}, {14,39}, {21,31}, {8,24}, {4,41}, {8,41}, {21,37}, {8,45}, {1,41}, {2,23}, {9,22}, {11,44}, {3,25}, {21,42}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {9,25}, {17,30}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {15,24}, {16,26}, {12,25}, {15,40}, {3,42}, {3,22}, {1,44}, {13,38}, {18,31}, {19,44}, {16,31}, {15,39}, {4,29}, {1,32}, {21,39}, {19,29}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {10,40}, {7,29}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {19,43}, {18,28}, {5,24}, {18,24}, {16,38}, {11,45}, {18,27}, {21,33}, {12,36}, {3,45}, {5,26}, {19,25}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {20,27}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {15,42}, {1,34}, {13,35}, {21,43}, {21,27}, {17,24}, {20,23}, {12,34}, {8,44}, {6,28}, {16,23}, {6,42}, {4,35}, {19,32}, {18,43}, {7,26}, {20,45}, {1,23}, {16,35}, {14,42}, {10,34}, {3,40}, {17,27}, {8,35}, {13,23}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {21,36}, {15,31}, {7,44}, {7,43}, {18,40}, {9,40}, {5,44}, {17,23}, {10,23}, {9,43}, {3,37}, {8,39}, {9,42}, {5,36}, {9,34}, {15,43}, {10,32}, {17,32}, {21,24}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {11,26}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.68 (= ET45.96) // Bipartite(15,30) Valencies [18,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56422198149120 EdgesBipt[45][68]:={ {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {5,38}, {5,22}, {10,18}, {9,17}, {12,22}, {3,26}, {8,26}, {1,40}, {11,43}, {2,35}, {8,40}, {3,35}, {15,27}, {10,39}, {3,20}, {1,21}, {14,45}, {5,32}, {15,41}, {4,37}, {4,40}, {14,29}, {13,40}, {2,33}, {11,17}, {10,42}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {2,34}, {2,25}, {4,43}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {5,41}, {7,41}, {13,30}, {12,42}, {10,26}, {7,33}, {12,31}, {1,24}, {13,24}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {15,19}, {6,18}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {13,16}, {2,29}, {1,38}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {1,18}, {3,38}, {5,27}, {15,28}, {6,17}, {5,28}, {2,39}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {6,27}, {3,36}, {7,19}, {2,44}, {1,30}, {13,18}, {11,21}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {10,38}, {11,33}, {13,25}, {14,39}, {8,24}, {9,26}, {8,45}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {12,41}, {9,19}, {13,45}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {2,43}, {6,30}, {4,33}, {7,34}, {11,24}, {10,31}, {5,19}, {10,29}, {13,22}, {4,17}, {9,16}, {9,30}, {5,39}, {3,32}, {14,27}, {8,34}, {9,25}, {10,22}, {7,23}, {12,45}, {12,29}, {6,31}, {12,25}, {14,43}, {3,42}, {3,22}, {14,37}, {1,44}, {13,38}, {14,40}, {6,23}, {15,17}, {7,39}, {4,36}, {15,39}, {4,29}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {2,41}, {12,43}, {10,21}, {7,29}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {2,45}, {13,32}, {14,26}, {11,30}, {3,34}, {2,21}, {4,27}, {15,29}, {2,22}, {2,31}, {14,19}, {1,33}, {3,45}, {12,44}, {5,26}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {12,39}, {11,31}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {4,35}, {14,20}, {14,25}, {15,21}, {11,37}, {11,28}, {5,18}, {5,16}, {1,23}, {11,20}, {15,18}, {10,27}, {5,17}, {3,40}, {15,16}, {8,35}, {6,21}, {15,22}, {9,45}, {4,26}, {13,28}, {1,28}, {9,27}, {5,42}, {12,32}, {15,36}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {15,26}, {9,43}, {4,19}, {14,17}, {5,36}, {10,32}, {4,39}, {12,35}, {12,19}, {1,37}, {8,25}, {2,42}, {6,33}, {12,21}, {2,32}, {11,38}, {9,37}, {6,40} }; // ETB45.69 (= ET45.97) // Bipartite(15,30) Valencies [18,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43535646720 EdgesBipt[45][69]:={ {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {5,38}, {9,17}, {4,28}, {5,43}, {5,45}, {3,26}, {13,37}, {15,44}, {11,43}, {4,31}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {1,19}, {8,23}, {3,20}, {1,21}, {14,45}, {3,39}, {1,35}, {4,37}, {13,27}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {10,42}, {6,29}, {3,18}, {10,17}, {4,24}, {8,30}, {5,41}, {13,30}, {7,27}, {6,39}, {10,26}, {2,17}, {7,33}, {12,31}, {13,24}, {12,23}, {5,37}, {13,20}, {13,42}, {1,36}, {15,19}, {1,29}, {6,18}, {12,37}, {10,35}, {15,45}, {11,18}, {2,29}, {1,38}, {1,26}, {14,32}, {3,17}, {2,36}, {8,22}, {9,36}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {5,28}, {2,39}, {4,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {12,27}, {1,39}, {7,37}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {4,32}, {13,18}, {11,21}, {11,36}, {10,16}, {3,30}, {3,16}, {11,23}, {11,16}, {10,36}, {15,34}, {11,33}, {13,25}, {8,24}, {4,41}, {14,21}, {9,26}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {15,23}, {12,41}, {9,19}, {13,45}, {11,44}, {3,25}, {11,34}, {2,43}, {2,27}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {7,28}, {2,16}, {8,34}, {10,22}, {5,40}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {15,24}, {12,25}, {1,16}, {13,38}, {14,40}, {9,41}, {6,23}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {5,23}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {8,29}, {14,16}, {13,44}, {13,32}, {14,26}, {1,45}, {11,30}, {4,27}, {15,29}, {2,22}, {8,43}, {3,45}, {12,44}, {2,37}, {4,42}, {10,41}, {14,30}, {3,28}, {12,33}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,22}, {13,35}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {6,42}, {14,20}, {14,25}, {7,26}, {7,18}, {11,28}, {7,16}, {5,18}, {11,20}, {14,42}, {15,18}, {10,27}, {5,17}, {3,40}, {15,16}, {7,17}, {10,45}, {8,35}, {2,40}, {6,21}, {14,41}, {13,28}, {1,28}, {3,27}, {9,27}, {7,38}, {15,36}, {10,43}, {7,44}, {7,43}, {9,40}, {8,20}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {8,39}, {3,37}, {9,34}, {10,32}, {15,43}, {4,39}, {12,35}, {7,36}, {12,19}, {8,25}, {2,42}, {6,33}, {12,21}, {2,32}, {11,26}, {15,25}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.70 (= ET45.98) // Bipartite(18,27) Valencies [18,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3888 EdgesBipt[45][70]:={ {15,33}, {18,45}, {6,38}, {14,36}, {9,32}, {5,22}, {11,25}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {17,42}, {15,44}, {2,35}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {1,19}, {8,23}, {10,39}, {1,21}, {14,45}, {3,39}, {16,37}, {16,28}, {5,32}, {8,31}, {4,37}, {13,27}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {6,29}, {11,27}, {1,20}, {12,28}, {2,25}, {4,24}, {4,43}, {18,32}, {8,30}, {9,33}, {7,45}, {8,37}, {5,41}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {17,20}, {12,40}, {10,20}, {13,24}, {15,30}, {13,20}, {16,25}, {15,19}, {1,29}, {12,37}, {16,43}, {6,44}, {8,38}, {13,26}, {1,26}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {3,43}, {15,28}, {5,28}, {2,39}, {7,32}, {1,31}, {3,31}, {11,22}, {6,27}, {11,42}, {14,34}, {3,36}, {2,44}, {1,30}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,23}, {10,38}, {15,34}, {18,22}, {14,39}, {8,24}, {8,41}, {14,21}, {18,20}, {18,38}, {3,29}, {1,41}, {2,23}, {4,45}, {10,19}, {12,41}, {9,19}, {13,45}, {3,44}, {11,44}, {11,34}, {17,28}, {7,35}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {18,44}, {7,28}, {17,44}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {7,23}, {16,30}, {12,45}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {16,26}, {14,43}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {6,37}, {9,24}, {5,31}, {17,22}, {2,19}, {6,20}, {7,40}, {17,41}, {5,23}, {12,43}, {18,41}, {10,40}, {18,21}, {7,29}, {2,28}, {7,21}, {8,36}, {13,44}, {2,45}, {3,33}, {16,36}, {13,32}, {14,26}, {1,45}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {15,29}, {8,43}, {14,19}, {16,27}, {5,26}, {2,37}, {4,42}, {10,41}, {4,25}, {12,33}, {8,33}, {12,39}, {17,34}, {11,31}, {14,24}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {6,41}, {17,24}, {12,34}, {17,21}, {16,23}, {4,35}, {13,33}, {15,21}, {14,25}, {7,26}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {11,20}, {10,27}, {16,33}, {13,23}, {10,45}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {15,20}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {7,43}, {18,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {17,23}, {10,23}, {4,19}, {9,42}, {16,19}, {9,34}, {15,43}, {12,35}, {7,36}, {6,35}, {12,19}, {17,43}, {1,37}, {2,42}, {18,42}, {16,32}, {2,32}, {12,21}, {18,34}, {11,26}, {15,25}, {5,33}, {18,37}, {5,30}, {9,37}, {6,40} }; // ETB45.71 (= ET45.99) // Bipartite(18,27) Valencies [18,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[45][71]:={ {13,21}, {18,45}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {5,43}, {5,45}, {8,26}, {1,40}, {13,39}, {17,42}, {11,43}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,21}, {3,39}, {16,37}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {11,27}, {1,20}, {2,34}, {12,28}, {4,24}, {4,43}, {16,42}, {18,32}, {9,33}, {7,45}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {12,42}, {6,39}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {13,24}, {15,30}, {16,25}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {15,45}, {16,43}, {6,44}, {4,23}, {13,26}, {6,24}, {17,36}, {1,38}, {13,19}, {14,32}, {1,26}, {16,40}, {18,29}, {6,34}, {1,43}, {9,39}, {8,42}, {9,20}, {18,26}, {18,33}, {18,36}, {5,27}, {15,28}, {2,39}, {1,42}, {7,32}, {12,24}, {3,31}, {11,22}, {7,37}, {6,27}, {2,30}, {14,34}, {3,36}, {4,21}, {18,19}, {7,19}, {4,32}, {2,44}, {14,28}, {16,29}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {11,33}, {18,22}, {13,25}, {8,24}, {8,41}, {9,38}, {9,26}, {8,45}, {3,29}, {17,31}, {1,41}, {2,23}, {9,22}, {9,19}, {13,45}, {3,25}, {17,28}, {7,35}, {2,43}, {12,30}, {6,30}, {4,33}, {9,31}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {9,30}, {5,39}, {17,19}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {15,35}, {17,38}, {15,24}, {12,25}, {14,43}, {3,42}, {3,22}, {14,37}, {1,44}, {13,38}, {14,40}, {6,23}, {16,31}, {16,45}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {6,37}, {7,24}, {5,31}, {17,22}, {6,20}, {16,44}, {7,40}, {2,41}, {17,41}, {2,26}, {18,41}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {13,32}, {1,45}, {11,30}, {2,21}, {18,28}, {2,22}, {15,29}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {11,45}, {18,27}, {12,36}, {12,44}, {5,29}, {10,41}, {14,30}, {3,28}, {11,19}, {8,33}, {12,39}, {11,31}, {13,34}, {11,41}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {6,41}, {17,40}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {18,43}, {14,20}, {14,25}, {15,21}, {11,28}, {16,35}, {10,24}, {14,42}, {11,20}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {17,27}, {14,41}, {4,26}, {15,20}, {16,39}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {4,19}, {14,22}, {3,37}, {9,42}, {5,36}, {9,34}, {10,32}, {15,43}, {7,36}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {2,32}, {12,21}, {18,34}, {11,26}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB45.72 (= ET45.100) // Bipartite(18,27) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 107013320101683265536000000 EdgesBipt[45][72]:={ {15,33}, {18,45}, {10,37}, {14,36}, {6,25}, {5,38}, {4,28}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {17,42}, {2,35}, {17,33}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {3,21}, {14,45}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {11,35}, {11,29}, {11,27}, {1,20}, {12,28}, {4,43}, {8,30}, {9,33}, {5,41}, {17,39}, {7,41}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {15,30}, {13,20}, {16,25}, {15,19}, {1,29}, {12,37}, {16,34}, {10,35}, {15,45}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {13,41}, {16,40}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {18,33}, {18,36}, {5,27}, {3,43}, {15,28}, {2,39}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {17,29}, {18,19}, {7,19}, {4,32}, {2,44}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {4,41}, {8,41}, {14,21}, {8,45}, {1,41}, {2,23}, {10,19}, {9,22}, {9,19}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {9,25}, {17,30}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {18,31}, {16,31}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {18,21}, {9,21}, {7,29}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {18,28}, {5,24}, {16,20}, {18,24}, {16,38}, {11,45}, {18,27}, {12,36}, {3,45}, {5,26}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {17,24}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {18,43}, {14,20}, {15,21}, {7,26}, {1,23}, {16,35}, {11,20}, {14,42}, {10,34}, {3,40}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {5,44}, {17,23}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {15,43}, {17,32}, {12,19}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.73 (= ET45.101) // Bipartite(18,27) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33853318889472 EdgesBipt[45][73]:={ {13,21}, {15,33}, {18,45}, {6,38}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {11,25}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {13,37}, {1,40}, {16,22}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {1,21}, {14,45}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,40}, {14,44}, {4,38}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {4,24}, {4,43}, {16,42}, {15,32}, {8,30}, {9,33}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {17,20}, {7,33}, {10,20}, {1,24}, {13,24}, {5,37}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,29}, {16,34}, {15,45}, {16,43}, {6,44}, {18,39}, {4,23}, {13,26}, {6,24}, {17,36}, {5,34}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {5,27}, {3,43}, {5,28}, {2,39}, {14,35}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {6,27}, {2,30}, {3,36}, {17,29}, {7,19}, {4,32}, {2,44}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {11,23}, {3,24}, {14,23}, {10,38}, {15,34}, {14,39}, {4,41}, {8,41}, {14,21}, {9,26}, {18,20}, {18,38}, {8,45}, {2,23}, {10,19}, {15,23}, {9,22}, {3,44}, {3,25}, {11,34}, {17,28}, {7,35}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {13,22}, {13,31}, {5,39}, {17,19}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {13,29}, {9,25}, {17,30}, {10,22}, {12,45}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {11,32}, {15,24}, {12,25}, {15,40}, {3,42}, {3,22}, {14,37}, {1,44}, {13,38}, {14,40}, {9,41}, {16,31}, {7,39}, {3,41}, {4,29}, {9,44}, {6,43}, {8,32}, {7,24}, {10,28}, {9,24}, {17,25}, {2,19}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {18,21}, {7,29}, {18,30}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {14,26}, {11,30}, {3,34}, {2,21}, {2,22}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {11,45}, {1,33}, {18,27}, {12,36}, {3,45}, {12,44}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {7,31}, {12,33}, {11,19}, {12,39}, {17,34}, {11,41}, {7,22}, {6,26}, {15,42}, {13,35}, {5,21}, {7,42}, {12,34}, {8,44}, {17,21}, {6,42}, {16,23}, {13,33}, {18,43}, {7,26}, {11,37}, {11,28}, {10,24}, {11,20}, {10,34}, {16,33}, {3,40}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {9,40}, {4,20}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {4,19}, {14,22}, {8,39}, {9,42}, {16,19}, {5,36}, {9,34}, {15,43}, {10,32}, {12,35}, {6,35}, {17,32}, {17,43}, {1,37}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {15,25}, {5,30}, {11,38} }; // ETB45.74 (= ET45.102) // Bipartite(18,27) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 557256278016 EdgesBipt[45][74]:={ {13,21}, {18,45}, {11,40}, {10,37}, {14,36}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {5,43}, {5,45}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {16,37}, {16,28}, {5,32}, {15,41}, {4,37}, {4,40}, {14,29}, {13,40}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {5,41}, {17,39}, {7,41}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {16,25}, {13,42}, {15,19}, {1,29}, {12,37}, {16,34}, {15,45}, {16,43}, {6,44}, {18,39}, {8,38}, {13,26}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {14,32}, {2,36}, {16,40}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {18,33}, {18,36}, {5,27}, {15,28}, {2,39}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {2,44}, {1,30}, {11,21}, {6,36}, {16,29}, {11,36}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {15,34}, {18,22}, {8,24}, {8,41}, {8,45}, {1,41}, {10,19}, {15,23}, {12,41}, {9,22}, {9,19}, {3,44}, {11,44}, {11,34}, {7,35}, {2,43}, {2,27}, {6,30}, {4,33}, {7,34}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {9,25}, {17,30}, {10,30}, {5,40}, {7,23}, {12,45}, {10,25}, {15,35}, {17,38}, {16,26}, {14,43}, {3,42}, {3,22}, {13,38}, {18,31}, {14,40}, {6,23}, {16,31}, {3,41}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {5,31}, {16,44}, {4,44}, {7,40}, {17,41}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {11,30}, {9,28}, {2,21}, {18,28}, {5,24}, {2,22}, {16,20}, {18,24}, {2,31}, {16,38}, {11,45}, {1,33}, {18,27}, {12,36}, {3,45}, {12,44}, {4,42}, {5,29}, {10,41}, {3,28}, {7,31}, {12,33}, {8,33}, {11,31}, {14,24}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {6,41}, {17,24}, {8,44}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {18,43}, {14,20}, {14,25}, {15,21}, {7,26}, {1,23}, {16,35}, {10,24}, {14,42}, {11,20}, {10,34}, {3,40}, {8,35}, {17,27}, {2,40}, {6,21}, {17,45}, {9,45}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {7,44}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {4,19}, {14,22}, {8,39}, {3,37}, {9,42}, {16,19}, {5,36}, {9,34}, {15,43}, {10,32}, {4,39}, {12,35}, {6,35}, {17,32}, {12,19}, {1,37}, {18,42}, {16,32}, {18,34}, {11,26}, {15,25}, {5,33}, {18,37}, {11,38}, {9,37} }; // ETB45.75 (= ET45.103) // Bipartite(18,27) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 663552 EdgesBipt[45][75]:={ {13,21}, {18,45}, {6,38}, {11,40}, {15,38}, {9,32}, {6,25}, {5,22}, {11,25}, {12,22}, {16,22}, {15,44}, {11,43}, {17,33}, {4,31}, {8,40}, {10,33}, {8,21}, {14,31}, {1,19}, {3,23}, {8,23}, {1,21}, {3,39}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {14,44}, {6,32}, {17,35}, {4,38}, {11,29}, {10,42}, {6,29}, {11,27}, {2,34}, {12,28}, {2,25}, {4,43}, {16,42}, {18,32}, {15,32}, {4,30}, {9,33}, {8,37}, {5,41}, {12,38}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,40}, {15,30}, {12,23}, {5,37}, {13,20}, {18,35}, {13,42}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {10,35}, {15,45}, {16,43}, {6,44}, {18,39}, {4,23}, {13,26}, {17,36}, {2,29}, {5,34}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {8,22}, {6,34}, {9,39}, {9,20}, {18,33}, {8,19}, {3,38}, {3,43}, {5,28}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {12,27}, {11,22}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {7,19}, {4,32}, {1,30}, {14,28}, {6,36}, {11,36}, {2,24}, {11,23}, {3,24}, {10,36}, {15,37}, {10,38}, {15,34}, {13,25}, {14,39}, {8,24}, {8,41}, {14,21}, {18,20}, {8,45}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {12,41}, {3,44}, {13,45}, {11,34}, {17,28}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,44}, {10,29}, {1,25}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {18,44}, {7,28}, {6,45}, {10,22}, {10,30}, {7,23}, {16,30}, {12,45}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {18,31}, {9,41}, {7,39}, {3,41}, {4,36}, {15,39}, {9,44}, {6,43}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {16,44}, {17,41}, {12,43}, {5,20}, {2,26}, {18,41}, {18,21}, {10,21}, {9,21}, {18,30}, {8,29}, {7,21}, {8,36}, {8,27}, {3,33}, {13,32}, {14,26}, {1,45}, {9,28}, {3,34}, {4,27}, {18,28}, {5,24}, {15,29}, {2,22}, {16,20}, {18,24}, {2,31}, {14,19}, {16,38}, {1,33}, {18,27}, {12,36}, {3,45}, {16,27}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {6,42}, {16,23}, {4,35}, {13,33}, {18,43}, {14,20}, {14,25}, {7,26}, {11,37}, {1,23}, {11,20}, {10,34}, {16,33}, {3,40}, {13,23}, {10,45}, {8,35}, {17,27}, {2,40}, {17,45}, {9,45}, {14,41}, {4,26}, {16,39}, {17,37}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {15,36}, {15,31}, {7,44}, {8,28}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {5,44}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {4,19}, {14,22}, {3,37}, {9,42}, {16,19}, {15,43}, {6,35}, {8,25}, {18,42}, {16,32}, {2,32}, {11,26}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.76 (= ET45.106) // Bipartite(15,30) Valencies [20,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 495432037507792896000000000 EdgesBipt[45][76]:={ {15,33}, {10,37}, {14,36}, {6,25}, {5,38}, {4,28}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {2,35}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {12,16}, {2,18}, {3,21}, {14,45}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {4,38}, {11,35}, {11,29}, {11,17}, {11,27}, {1,20}, {3,18}, {9,18}, {10,17}, {12,28}, {4,43}, {8,30}, {9,33}, {1,17}, {4,16}, {5,41}, {7,41}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {10,20}, {15,30}, {13,20}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {15,45}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {13,16}, {2,29}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {13,41}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {5,27}, {3,43}, {15,28}, {2,39}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {13,17}, {7,19}, {4,32}, {2,44}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {8,41}, {14,21}, {8,45}, {1,41}, {2,23}, {10,19}, {9,22}, {9,19}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {14,27}, {7,28}, {6,45}, {12,18}, {13,29}, {9,25}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {11,45}, {12,36}, {3,45}, {5,26}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {14,20}, {15,21}, {7,26}, {7,16}, {1,23}, {5,18}, {11,20}, {14,42}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {15,43}, {12,19}, {1,37}, {2,42}, {6,33}, {12,21}, {2,32}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.77 (= ET45.107) // Bipartite(15,30) Valencies [20,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2149908480000000 EdgesBipt[45][77]:={ {15,33}, {6,38}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {4,28}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {15,44}, {2,35}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {1,21}, {14,45}, {5,32}, {7,30}, {8,31}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {6,32}, {11,35}, {11,29}, {11,17}, {10,42}, {11,27}, {3,18}, {8,16}, {10,17}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {9,33}, {4,16}, {8,37}, {12,20}, {5,41}, {12,38}, {7,41}, {12,26}, {13,30}, {6,39}, {11,39}, {2,17}, {12,40}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {13,42}, {1,36}, {6,18}, {10,35}, {15,45}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {13,16}, {2,29}, {5,34}, {13,19}, {14,32}, {3,17}, {8,22}, {1,43}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {3,43}, {15,28}, {5,28}, {2,39}, {4,18}, {14,35}, {1,42}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {6,27}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {1,30}, {13,18}, {11,21}, {6,36}, {8,17}, {11,36}, {3,30}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {4,41}, {9,38}, {8,41}, {14,21}, {9,26}, {3,29}, {12,17}, {13,36}, {2,23}, {4,45}, {10,19}, {12,41}, {9,22}, {9,19}, {3,44}, {11,44}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {13,22}, {1,25}, {6,19}, {13,31}, {9,16}, {4,17}, {3,32}, {14,27}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {10,30}, {5,40}, {7,23}, {12,45}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {1,16}, {3,42}, {14,43}, {15,40}, {14,37}, {13,38}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {2,19}, {6,20}, {7,40}, {2,41}, {5,23}, {5,20}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {13,44}, {2,45}, {13,32}, {14,26}, {1,45}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {14,19}, {11,45}, {1,33}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {7,31}, {12,33}, {12,39}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {7,42}, {12,34}, {8,44}, {6,42}, {4,35}, {14,20}, {14,25}, {15,21}, {7,18}, {7,16}, {5,16}, {5,18}, {10,24}, {11,20}, {10,27}, {15,18}, {5,17}, {15,16}, {7,17}, {10,45}, {8,35}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {15,20}, {13,28}, {1,28}, {9,27}, {5,42}, {12,32}, {15,36}, {10,43}, {8,28}, {7,43}, {9,40}, {8,20}, {1,27}, {5,44}, {10,23}, {15,26}, {9,43}, {3,37}, {14,17}, {5,36}, {9,34}, {4,39}, {12,35}, {7,36}, {1,37}, {8,25}, {6,33}, {12,21}, {11,26}, {5,30}, {11,38}, {9,37} }; // ETB45.78 (= ET45.108) // Bipartite(20,25) Valencies [20,16] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 800 EdgesBipt[45][78]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {15,38}, {14,36}, {6,25}, {5,38}, {5,22}, {11,25}, {5,45}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {15,44}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {10,39}, {3,21}, {14,45}, {3,39}, {16,37}, {20,37}, {16,28}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {13,43}, {13,27}, {19,21}, {13,40}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {11,27}, {19,40}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {4,43}, {16,42}, {18,32}, {15,32}, {9,33}, {20,43}, {7,45}, {8,37}, {20,24}, {5,41}, {17,39}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {20,29}, {17,26}, {13,24}, {12,23}, {20,39}, {5,37}, {18,35}, {13,42}, {9,35}, {1,36}, {1,29}, {16,34}, {15,45}, {16,43}, {6,44}, {18,39}, {4,23}, {8,38}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {18,26}, {4,22}, {18,33}, {18,36}, {5,27}, {3,43}, {15,28}, {5,28}, {2,39}, {14,35}, {1,42}, {7,32}, {19,38}, {1,31}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {19,23}, {4,21}, {20,25}, {4,32}, {1,30}, {19,27}, {14,28}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {15,37}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {19,30}, {8,24}, {4,41}, {8,41}, {14,21}, {9,26}, {18,38}, {8,45}, {17,31}, {1,41}, {2,23}, {20,22}, {15,23}, {12,41}, {9,22}, {11,44}, {13,45}, {3,44}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {19,45}, {2,43}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {8,34}, {10,22}, {10,30}, {7,23}, {16,30}, {12,45}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {19,44}, {14,40}, {9,41}, {6,23}, {16,31}, {16,45}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {19,29}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {16,44}, {4,44}, {7,40}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {2,45}, {3,33}, {13,32}, {14,26}, {1,45}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {19,43}, {18,28}, {5,24}, {15,29}, {18,24}, {8,43}, {2,31}, {16,38}, {1,33}, {18,27}, {12,36}, {3,45}, {12,44}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {12,33}, {12,39}, {20,27}, {11,31}, {14,24}, {19,35}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,40}, {20,23}, {12,34}, {8,44}, {17,21}, {19,36}, {6,42}, {16,23}, {4,35}, {13,33}, {18,43}, {14,25}, {15,21}, {20,34}, {20,45}, {11,37}, {11,28}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {10,45}, {17,27}, {2,40}, {17,45}, {14,41}, {4,26}, {17,37}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {7,44}, {8,28}, {7,43}, {9,40}, {20,40}, {1,27}, {5,44}, {17,23}, {10,23}, {15,26}, {9,43}, {3,37}, {14,22}, {8,39}, {9,42}, {5,36}, {10,32}, {15,43}, {12,35}, {7,36}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {12,21}, {6,33}, {18,34}, {11,26}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB45.79 (= ET45.109) // Bipartite(20,25) Valencies [20,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23776267862016000000 EdgesBipt[45][79]:={ {13,21}, {15,33}, {18,45}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {5,38}, {5,22}, {19,26}, {5,43}, {5,45}, {12,22}, {3,26}, {8,26}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {1,21}, {3,21}, {14,45}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {14,29}, {16,21}, {19,21}, {13,40}, {14,44}, {2,33}, {6,32}, {17,35}, {11,29}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,24}, {16,42}, {15,32}, {4,30}, {8,30}, {20,43}, {7,45}, {5,41}, {17,39}, {12,38}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,40}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {18,35}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {15,45}, {16,43}, {6,44}, {18,39}, {8,38}, {13,26}, {6,24}, {2,29}, {1,38}, {1,26}, {14,32}, {13,41}, {20,36}, {20,42}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {20,25}, {4,32}, {2,44}, {19,27}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {15,37}, {10,38}, {11,33}, {13,25}, {14,39}, {19,30}, {8,24}, {4,41}, {8,41}, {9,26}, {14,21}, {18,38}, {8,45}, {3,29}, {13,36}, {1,41}, {2,23}, {20,22}, {4,45}, {15,23}, {9,22}, {11,44}, {3,44}, {13,45}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {19,45}, {2,43}, {2,27}, {12,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {18,25}, {20,30}, {13,31}, {9,30}, {14,27}, {18,44}, {16,41}, {7,28}, {17,44}, {19,41}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {12,25}, {16,26}, {15,40}, {14,37}, {1,44}, {13,38}, {18,31}, {19,44}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {19,29}, {6,43}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {16,44}, {4,44}, {7,40}, {5,23}, {12,43}, {20,32}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {8,36}, {13,44}, {2,45}, {3,33}, {16,36}, {14,26}, {19,39}, {3,34}, {4,27}, {18,28}, {2,22}, {18,24}, {8,43}, {16,38}, {1,33}, {20,28}, {3,45}, {16,27}, {12,44}, {5,26}, {19,25}, {2,37}, {4,42}, {10,41}, {4,25}, {3,28}, {14,30}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {20,23}, {12,34}, {8,44}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {14,25}, {15,21}, {20,45}, {11,37}, {11,28}, {1,23}, {14,42}, {10,27}, {16,33}, {3,40}, {13,23}, {10,45}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {12,35}, {17,32}, {17,43}, {20,21}, {1,37}, {8,25}, {2,42}, {16,32}, {2,32}, {6,33}, {18,34}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB45.80 (= ET45.110) // Bipartite(20,25) Valencies [20,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29491200 EdgesBipt[45][80]:={ {13,21}, {15,33}, {18,45}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {9,32}, {5,38}, {19,26}, {11,25}, {4,28}, {5,43}, {5,45}, {3,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {17,33}, {4,31}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {3,21}, {14,45}, {3,39}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,27}, {14,29}, {16,21}, {19,21}, {14,44}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {20,26}, {2,25}, {4,24}, {4,43}, {16,42}, {18,32}, {15,32}, {4,30}, {8,30}, {20,43}, {7,45}, {8,37}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {7,27}, {19,22}, {12,42}, {11,39}, {10,26}, {7,33}, {12,40}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {13,42}, {20,35}, {9,35}, {1,36}, {19,42}, {12,37}, {16,34}, {10,35}, {15,45}, {6,44}, {18,39}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {4,22}, {18,33}, {18,36}, {3,38}, {5,27}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {19,23}, {4,21}, {17,29}, {20,25}, {2,44}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {2,24}, {11,23}, {3,24}, {10,36}, {15,37}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {19,30}, {8,24}, {8,41}, {14,21}, {9,26}, {8,45}, {3,29}, {17,31}, {2,23}, {20,22}, {4,45}, {12,41}, {9,22}, {3,44}, {13,45}, {20,31}, {3,25}, {19,24}, {7,35}, {19,45}, {2,43}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {10,44}, {18,25}, {13,22}, {1,25}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {20,44}, {17,44}, {19,41}, {13,29}, {8,34}, {9,25}, {17,30}, {10,22}, {5,40}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {18,31}, {19,44}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {15,39}, {4,29}, {9,44}, {1,32}, {19,29}, {8,32}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {18,21}, {9,21}, {7,29}, {18,30}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {19,43}, {18,28}, {5,24}, {15,29}, {18,24}, {8,43}, {16,38}, {1,33}, {18,27}, {20,28}, {12,36}, {3,45}, {16,27}, {12,44}, {19,25}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {11,31}, {20,33}, {14,24}, {19,35}, {13,34}, {7,25}, {7,22}, {6,26}, {15,42}, {6,41}, {17,40}, {20,23}, {17,21}, {19,36}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {14,25}, {20,34}, {7,26}, {20,45}, {11,37}, {11,28}, {1,23}, {16,35}, {14,42}, {10,34}, {16,33}, {13,23}, {10,45}, {8,35}, {17,27}, {2,40}, {6,21}, {17,45}, {9,45}, {4,26}, {13,28}, {1,28}, {16,24}, {3,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {20,40}, {1,27}, {5,44}, {17,23}, {10,23}, {9,43}, {3,37}, {14,22}, {8,39}, {9,42}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {6,35}, {17,43}, {1,37}, {8,25}, {2,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {11,26}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.81 (= ET45.112) // Bipartite(10,35) Valencies [21,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 390241927692288000000 EdgesBipt[45][81]:={ {2,44}, {3,33}, {2,24}, {1,20}, {10,24}, {9,28}, {6,32}, {6,16}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {3,40}, {10,37}, {4,30}, {6,17}, {1,13}, {5,38}, {7,38}, {8,42}, {4,29}, {3,45}, {3,13}, {3,43}, {3,25}, {3,15}, {10,23}, {1,40}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {10,33}, {3,35}, {9,43}, {2,26}, {8,39}, {10,44}, {2,41}, {2,14}, {1,30}, {6,11}, {8,44}, {8,27}, {8,31}, {9,11}, {10,22}, {6,22}, {3,18}, {8,16}, {2,45}, {6,21}, {2,25}, {7,12}, {6,40}, {6,31}, {1,38}, {2,34}, {2,36}, {4,22}, {8,19}, {10,38}, {1,18}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {1,44}, {5,29}, {8,41}, {5,43}, {8,14}, {4,42}, {9,41}, {2,39}, {7,32}, {4,45}, {7,13}, {7,43}, {7,25}, {10,28}, {2,35}, {6,12}, {6,30}, {5,23}, {10,29}, {3,20}, {9,42}, {2,20}, {1,29}, {7,30}, {8,17}, {2,16}, {4,35}, {8,36}, {5,18}, {1,23}, {7,17}, {8,11}, {5,24}, {9,37}, {8,22}, {1,45}, {10,42}, {5,14}, {4,15}, {1,28}, {3,11}, {1,33}, {10,13}, {10,12}, {1,43}, {3,26}, {8,37}, {5,28}, {8,26}, {9,22}, {6,15}, {5,41}, {10,43}, {9,13}, {8,32}, {8,21}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {9,12}, {6,41}, {1,15}, {2,11}, {10,39}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {2,29}, {6,45}, {10,27}, {4,34}, {4,14}, {10,34}, {9,17}, {10,18}, {8,24}, {6,25}, {2,40}, {2,31}, {9,33}, {9,36}, {5,26}, {9,38}, {4,25}, {10,19}, {3,38}, {4,12}, {4,20}, {5,13}, {3,28}, {7,27}, {7,45}, {3,41}, {3,31}, {1,14}, {7,33}, {6,37}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {7,37}, {1,34}, {9,31}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {4,39}, {7,40}, {7,42}, {4,44}, {9,23}, {8,29}, {4,32}, {7,18}, {5,16} }; // ETB45.82 (= ET45.113) // Bipartite(12,33) Valencies [22,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5275360335382978756608000000 EdgesBipt[45][82]:={ {10,37}, {6,25}, {5,38}, {4,28}, {5,45}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {6,15}, {11,15}, {8,21}, {3,19}, {5,15}, {1,19}, {8,23}, {12,16}, {2,18}, {3,21}, {3,39}, {11,14}, {1,35}, {5,32}, {4,37}, {4,40}, {2,33}, {4,38}, {11,35}, {11,29}, {11,17}, {11,27}, {1,20}, {3,18}, {9,18}, {10,17}, {12,28}, {4,43}, {8,30}, {9,33}, {1,17}, {4,16}, {4,13}, {5,41}, {7,41}, {1,13}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {10,20}, {2,15}, {12,13}, {6,18}, {1,29}, {12,37}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {5,27}, {7,14}, {3,43}, {2,39}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {9,13}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {7,19}, {4,32}, {2,44}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,38}, {6,16}, {11,33}, {8,24}, {4,41}, {8,41}, {5,14}, {8,45}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {7,28}, {6,45}, {12,18}, {9,25}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {8,29}, {8,36}, {8,27}, {2,45}, {3,33}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {11,45}, {12,36}, {3,45}, {5,26}, {5,29}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {8,14}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {7,26}, {7,16}, {1,23}, {5,18}, {11,20}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {12,19}, {1,37}, {2,42}, {6,33}, {12,21}, {2,32}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.83 (= ET45.114) // Bipartite(22,23) Valencies [23,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29057685629025609672383529751884595200000000 EdgesBipt[45][83]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {8,24}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {7,23}, {5,33}, {4,39}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {22,41}, {18,26}, {14,23}, {4,45}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {22,33}, {11,24}, {7,43}, {20,31}, {8,33}, {11,45}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {22,40}, {13,37}, {8,27}, {5,30}, {19,43}, {16,27}, {9,30}, {5,40}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {15,44}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {20,34}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {20,30}, {2,29}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {19,45}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {4,23}, {22,34}, {9,36}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {10,45}, {3,40}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB45.84 (= ET45.115) // Bipartite(5,40) Valencies [24,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7608405715845120 EdgesBipt[45][84]:={ {4,35}, {5,32}, {3,15}, {1,43}, {1,11}, {2,22}, {3,38}, {5,42}, {1,31}, {4,27}, {2,11}, {1,40}, {4,40}, {4,16}, {3,32}, {1,38}, {5,41}, {2,33}, {1,44}, {3,30}, {5,7}, {4,6}, {3,45}, {3,10}, {3,34}, {2,19}, {2,15}, {4,26}, {5,26}, {5,9}, {5,21}, {2,29}, {5,6}, {5,37}, {3,18}, {1,34}, {2,14}, {4,37}, {4,20}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {4,39}, {1,17}, {2,32}, {3,40}, {4,33}, {3,14}, {2,13}, {4,29}, {3,22}, {4,43}, {5,19}, {4,45}, {5,29}, {2,42}, {4,30}, {2,34}, {4,36}, {4,17}, {2,35}, {5,28}, {4,15}, {2,9}, {4,25}, {2,44}, {2,24}, {3,42}, {5,22}, {5,38}, {2,43}, {3,35}, {1,23}, {2,21}, {5,27}, {1,7}, {5,8}, {2,39}, {2,12}, {3,28}, {3,26}, {5,36}, {3,24}, {5,17}, {5,31}, {3,12}, {1,14}, {1,41}, {3,44}, {1,37}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {3,25}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {5,12}, {1,28}, {3,36}, {4,9}, {5,18}, {4,23}, {1,8}, {1,30}, {5,16}, {5,39}, {4,13}, {1,21}, {1,18}, {4,19}, {4,10}, {1,24}, {2,45} }; // ETB45.85 (= ET45.116) // Bipartite(9,36) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 142434729055340426428416000000 EdgesBipt[45][85]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {8,30}, {2,23}, {1,13}, {5,38}, {9,45}, {7,38}, {8,42}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {3,37}, {9,43}, {2,26}, {7,34}, {8,39}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,44}, {8,27}, {2,42}, {6,22}, {3,18}, {2,45}, {4,38}, {6,21}, {3,34}, {6,40}, {6,31}, {1,38}, {4,10}, {1,17}, {2,36}, {4,22}, {7,11}, {7,20}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {8,41}, {2,38}, {9,19}, {8,14}, {8,45}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {7,43}, {2,35}, {1,22}, {6,12}, {6,30}, {6,43}, {5,23}, {9,34}, {9,42}, {2,20}, {6,18}, {1,29}, {8,17}, {3,39}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {8,11}, {5,24}, {9,37}, {8,35}, {9,10}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {4,43}, {3,10}, {1,43}, {8,26}, {5,42}, {9,22}, {7,31}, {6,15}, {5,41}, {2,17}, {9,13}, {5,12}, {9,40}, {8,32}, {8,21}, {3,19}, {6,27}, {5,44}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {7,29}, {6,28}, {2,11}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {2,29}, {6,45}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {8,24}, {6,25}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,26}, {8,18}, {3,42}, {9,39}, {4,25}, {4,11}, {4,20}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {3,31}, {2,12}, {1,14}, {9,24}, {6,39}, {5,15}, {6,37}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {7,40}, {4,44}, {8,29}, {4,32} }; // ETB45.86 (= ET45.117) // Bipartite(9,36) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10030613004288000000 EdgesBipt[45][86]:={ {2,44}, {1,11}, {3,33}, {5,17}, {1,20}, {2,33}, {6,16}, {7,15}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {8,30}, {1,13}, {5,38}, {9,45}, {7,38}, {8,42}, {8,28}, {4,29}, {1,32}, {3,45}, {8,33}, {3,15}, {7,44}, {1,40}, {2,15}, {4,19}, {9,44}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {2,26}, {8,39}, {7,36}, {8,10}, {2,28}, {2,14}, {5,32}, {8,15}, {9,35}, {4,23}, {8,27}, {9,11}, {6,22}, {3,17}, {8,16}, {2,45}, {6,21}, {3,34}, {7,12}, {2,25}, {6,40}, {6,31}, {1,38}, {4,10}, {2,34}, {1,17}, {4,22}, {9,29}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {2,10}, {8,41}, {2,38}, {2,37}, {5,43}, {8,45}, {4,42}, {7,39}, {5,25}, {9,41}, {2,39}, {7,32}, {1,31}, {7,13}, {9,14}, {7,25}, {7,43}, {1,22}, {6,12}, {3,44}, {6,30}, {6,43}, {5,23}, {3,20}, {2,13}, {9,42}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {8,11}, {5,24}, {8,22}, {8,35}, {5,14}, {9,20}, {1,28}, {4,13}, {3,11}, {7,14}, {3,27}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {5,42}, {7,31}, {6,15}, {5,41}, {4,36}, {5,12}, {8,21}, {5,31}, {6,27}, {5,44}, {8,40}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {6,28}, {9,30}, {1,35}, {1,37}, {3,16}, {4,37}, {6,42}, {4,40}, {6,36}, {2,21}, {8,34}, {9,18}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {9,17}, {8,24}, {6,25}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,26}, {8,18}, {4,18}, {9,39}, {9,38}, {4,25}, {3,38}, {4,11}, {4,12}, {5,13}, {3,28}, {7,27}, {7,45}, {1,41}, {3,41}, {7,24}, {1,14}, {9,24}, {6,39}, {6,37}, {7,33}, {5,19}, {9,15}, {6,13}, {7,37}, {5,35}, {1,34}, {5,37}, {7,19}, {2,43}, {4,17}, {9,21}, {7,42}, {9,23}, {7,21}, {8,29}, {7,18} }; // ETB45.87 (= ET45.118) // Bipartite(9,36) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 285315214344192 EdgesBipt[45][87]:={ {2,44}, {1,11}, {3,33}, {1,20}, {9,28}, {6,32}, {6,16}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {1,10}, {4,30}, {8,30}, {6,17}, {5,38}, {9,45}, {7,38}, {8,42}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,15}, {7,41}, {7,44}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {9,43}, {2,26}, {7,34}, {8,39}, {1,21}, {1,30}, {5,32}, {8,15}, {8,44}, {8,27}, {3,18}, {3,17}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {1,38}, {4,10}, {2,34}, {2,36}, {5,22}, {4,22}, {7,11}, {7,20}, {3,14}, {9,27}, {5,11}, {5,29}, {8,41}, {2,38}, {9,19}, {5,43}, {8,14}, {8,45}, {4,42}, {5,25}, {2,39}, {7,32}, {7,13}, {7,25}, {7,43}, {2,35}, {6,12}, {3,44}, {6,30}, {6,43}, {4,33}, {5,23}, {4,21}, {9,34}, {2,13}, {9,42}, {2,20}, {6,18}, {1,29}, {8,17}, {2,16}, {3,32}, {4,35}, {9,25}, {7,16}, {7,26}, {1,12}, {8,36}, {5,18}, {1,23}, {6,44}, {7,17}, {8,11}, {5,24}, {9,37}, {8,35}, {9,10}, {5,14}, {4,15}, {4,13}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {6,23}, {3,10}, {1,43}, {3,26}, {8,26}, {5,42}, {9,22}, {7,31}, {5,41}, {2,17}, {9,13}, {9,40}, {8,32}, {1,42}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {1,39}, {5,36}, {1,25}, {6,19}, {9,12}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {1,37}, {7,28}, {4,37}, {4,40}, {7,23}, {6,36}, {2,21}, {5,33}, {9,18}, {3,24}, {2,29}, {6,45}, {8,38}, {2,22}, {1,16}, {8,24}, {6,25}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {8,18}, {3,42}, {9,39}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {3,41}, {3,31}, {2,12}, {1,14}, {9,24}, {6,39}, {5,15}, {6,37}, {7,35}, {2,30}, {9,15}, {7,37}, {2,18}, {1,34}, {9,31}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {4,39}, {7,40}, {4,44}, {8,29}, {5,16} }; // ETB45.88 (= ET45.119) // Bipartite(9,36) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 940369969152 EdgesBipt[45][88]:={ {2,44}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,32}, {4,27}, {7,15}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,43}, {5,38}, {9,45}, {7,38}, {8,42}, {8,28}, {1,32}, {3,13}, {3,45}, {1,27}, {3,25}, {3,15}, {7,44}, {4,19}, {9,44}, {4,31}, {1,19}, {3,37}, {9,43}, {1,21}, {7,36}, {8,10}, {2,41}, {2,28}, {6,11}, {9,35}, {4,23}, {8,44}, {8,31}, {9,11}, {6,22}, {3,18}, {6,29}, {3,17}, {8,16}, {2,45}, {3,34}, {7,12}, {2,25}, {6,31}, {1,38}, {4,10}, {2,34}, {2,36}, {4,22}, {8,19}, {9,29}, {7,11}, {7,20}, {3,14}, {9,32}, {9,26}, {9,27}, {5,11}, {1,44}, {5,29}, {2,10}, {8,41}, {9,19}, {2,37}, {5,43}, {8,14}, {4,42}, {7,39}, {5,25}, {9,41}, {7,32}, {1,31}, {4,45}, {7,13}, {9,14}, {7,25}, {2,35}, {1,22}, {6,30}, {6,43}, {4,33}, {5,23}, {4,21}, {2,13}, {2,20}, {6,18}, {7,30}, {8,17}, {2,16}, {3,39}, {4,35}, {7,16}, {2,32}, {1,12}, {7,26}, {8,36}, {5,18}, {5,30}, {6,44}, {5,24}, {1,45}, {8,22}, {5,14}, {9,20}, {4,15}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {8,26}, {5,42}, {6,15}, {5,41}, {4,36}, {2,17}, {5,12}, {9,40}, {8,32}, {1,24}, {5,31}, {6,27}, {8,40}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {6,41}, {1,15}, {2,11}, {1,37}, {7,28}, {3,16}, {6,42}, {4,40}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {2,29}, {8,38}, {1,26}, {2,22}, {4,34}, {9,17}, {8,24}, {6,25}, {2,40}, {9,33}, {6,34}, {6,10}, {5,26}, {8,18}, {3,42}, {4,18}, {9,39}, {9,38}, {3,38}, {4,11}, {4,12}, {5,13}, {3,28}, {8,20}, {7,27}, {5,45}, {3,41}, {7,24}, {2,12}, {1,14}, {6,39}, {6,37}, {5,19}, {6,20}, {7,35}, {5,21}, {9,15}, {6,13}, {7,37}, {5,35}, {1,34}, {9,31}, {5,37}, {6,35}, {9,16}, {9,21}, {4,39}, {7,40}, {7,42}, {9,23}, {8,29}, {1,36}, {7,18} }; // ETB45.89 (= ET45.120) // Bipartite(15,30) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 180551034077184000000 EdgesBipt[45][89]:={ {13,21}, {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {9,32}, {5,38}, {5,22}, {10,18}, {9,17}, {5,43}, {5,45}, {12,22}, {3,26}, {8,26}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {3,39}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {6,32}, {11,29}, {11,17}, {10,42}, {6,29}, {11,27}, {3,18}, {8,16}, {10,17}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {1,17}, {4,16}, {7,45}, {12,20}, {5,41}, {12,38}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {15,45}, {6,44}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {13,41}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {15,28}, {6,17}, {5,28}, {2,39}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {7,19}, {4,32}, {2,44}, {13,18}, {11,21}, {6,36}, {11,36}, {10,16}, {3,30}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {15,37}, {10,38}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {8,41}, {9,26}, {14,21}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {15,23}, {9,22}, {9,19}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {14,27}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {15,40}, {14,37}, {1,44}, {13,38}, {14,40}, {9,41}, {6,23}, {15,17}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {4,44}, {7,40}, {5,23}, {12,43}, {5,20}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {14,16}, {8,36}, {13,44}, {2,45}, {3,33}, {14,26}, {3,34}, {4,27}, {2,22}, {8,43}, {14,19}, {1,33}, {3,45}, {5,26}, {12,44}, {2,37}, {4,42}, {10,41}, {4,25}, {3,28}, {14,30}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,18}, {11,37}, {11,28}, {5,18}, {5,16}, {1,23}, {14,42}, {10,27}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {10,45}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {12,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB45.90 (= ET45.121) // Bipartite(15,30) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[45][90]:={ {15,33}, {10,37}, {15,38}, {14,36}, {6,25}, {5,38}, {5,22}, {10,18}, {4,28}, {5,45}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {11,43}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {3,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {8,37}, {5,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {15,45}, {6,44}, {4,23}, {11,18}, {13,26}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {13,41}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {6,17}, {2,39}, {4,18}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {13,17}, {7,19}, {2,44}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {8,41}, {9,38}, {9,26}, {14,21}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {4,45}, {10,19}, {15,23}, {9,22}, {12,41}, {11,44}, {3,44}, {13,45}, {3,25}, {7,35}, {2,43}, {4,33}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {13,22}, {1,25}, {6,19}, {9,16}, {9,30}, {5,39}, {14,27}, {7,28}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {1,16}, {3,42}, {14,43}, {3,22}, {14,37}, {1,44}, {14,40}, {9,41}, {15,17}, {7,39}, {3,41}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {8,32}, {7,24}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {13,32}, {14,26}, {1,45}, {11,30}, {9,28}, {3,34}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {14,19}, {11,45}, {1,33}, {12,36}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {13,34}, {11,41}, {7,25}, {6,26}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {12,34}, {6,28}, {6,42}, {4,35}, {13,33}, {14,25}, {15,21}, {11,37}, {11,28}, {7,16}, {1,23}, {10,24}, {11,20}, {14,42}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {10,45}, {8,35}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {5,25}, {10,23}, {9,43}, {4,19}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {10,32}, {15,43}, {4,39}, {7,36}, {6,35}, {12,19}, {8,25}, {2,32}, {12,21}, {6,33}, {11,26}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.91 (= ET45.122) // Bipartite(18,27) Valencies [24,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1872381094133760 EdgesBipt[45][91]:={ {13,21}, {15,33}, {18,45}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {11,25}, {4,28}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {15,27}, {1,19}, {3,23}, {10,39}, {3,20}, {1,21}, {14,45}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {14,44}, {2,33}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,24}, {4,43}, {18,32}, {15,32}, {4,30}, {8,30}, {9,33}, {7,45}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {18,35}, {16,25}, {13,42}, {9,35}, {1,29}, {15,19}, {12,37}, {16,34}, {10,35}, {15,45}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {2,39}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {2,44}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {9,26}, {14,21}, {18,20}, {18,38}, {8,45}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {17,28}, {7,35}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {17,44}, {8,34}, {17,30}, {10,22}, {10,30}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {18,31}, {9,41}, {6,23}, {16,31}, {16,45}, {7,39}, {3,41}, {4,36}, {15,39}, {1,32}, {9,44}, {6,43}, {6,37}, {10,28}, {9,24}, {17,22}, {17,25}, {6,20}, {16,44}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {18,41}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {16,36}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {18,24}, {8,43}, {2,31}, {14,19}, {16,38}, {11,45}, {1,33}, {18,27}, {12,36}, {3,45}, {16,27}, {5,26}, {12,44}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {17,34}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {6,41}, {17,24}, {17,40}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,34}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {18,40}, {9,40}, {8,20}, {5,44}, {5,25}, {10,23}, {4,19}, {8,39}, {3,37}, {9,42}, {5,36}, {16,19}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {12,19}, {17,43}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {6,33}, {11,26}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.92 (= ET45.123) // Bipartite(21,24) Valencies [24,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31699293413482483278963850638419558400000000 EdgesBipt[45][92]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {20,26}, {3,29}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {21,42}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {18,26}, {14,23}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {8,22}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {19,43}, {16,27}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {19,36}, {9,34}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {19,45}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {16,45}, {5,39}, {12,43}, {19,34}, {10,45}, {3,40}, {12,36}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB45.93 (= ET45.126) // Bipartite(20,25) Valencies [25,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37737254063669622951147441236213760000000000 EdgesBipt[45][93]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {20,44}, {5,45}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {19,21}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {8,21}, {18,26}, {14,23}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {5,29}, {9,28}, {20,40}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {8,22}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {19,43}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {7,21}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {10,45}, {3,40}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB45.94 (= ET45.127) // Bipartite(6,39) Valencies [26,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11589966656836404328267776000000 EdgesBipt[45][94]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {1,19}, {2,27}, {5,20}, {3,37}, {2,26}, {2,9}, {6,7}, {2,41}, {2,14}, {5,32}, {4,23}, {2,42}, {6,22}, {3,18}, {3,7}, {2,45}, {4,38}, {6,21}, {3,34}, {6,40}, {6,31}, {1,38}, {4,10}, {1,17}, {2,36}, {1,7}, {4,22}, {4,8}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {6,43}, {5,23}, {2,20}, {6,18}, {1,29}, {3,39}, {4,35}, {2,32}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {5,24}, {5,14}, {1,28}, {4,13}, {3,27}, {4,7}, {4,28}, {4,43}, {3,10}, {1,43}, {5,42}, {6,15}, {5,41}, {2,17}, {5,12}, {3,19}, {6,27}, {5,44}, {5,36}, {3,21}, {1,25}, {6,19}, {6,9}, {6,28}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {6,36}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,34}, {6,10}, {5,27}, {5,26}, {3,42}, {5,9}, {4,25}, {4,11}, {1,8}, {4,20}, {3,28}, {1,41}, {5,45}, {3,31}, {2,12}, {1,14}, {2,8}, {6,39}, {5,15}, {6,37}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {3,36}, {4,44}, {4,32} }; // ETB45.95 (= ET45.128) // Bipartite(19,26) Valencies [26,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49058430282770509836491673607077888000000000 EdgesBipt[45][95]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {2,20}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {1,26}, {18,31}, {9,27}, {1,25}, {18,42}, {19,21}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {8,22}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {19,43}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {16,44}, {7,21}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {19,20}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {10,45}, {7,20}, {3,40}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB45.96 (= ET45.129) // Bipartite(18,27) Valencies [27,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 69714611454463356083435536178479104000000000 EdgesBipt[45][96]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {3,29}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,19}, {13,29}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {7,37}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {3,34}, {18,39}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {17,34}, {12,26}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {16,44}, {7,21}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {2,19}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {4,19}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB45.97 (= ET45.130) // Bipartite(3,42) Valencies [28,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3975358563294886684595847168000000 EdgesBipt[45][97]:={ {2,11}, {3,22}, {1,26}, {2,14}, {3,40}, {2,44}, {1,14}, {1,44}, {2,26}, {3,12}, {2,32}, {2,30}, {1,29}, {2,29}, {1,32}, {2,24}, {1,37}, {1,40}, {1,10}, {1,43}, {2,39}, {3,21}, {3,42}, {3,27}, {3,33}, {2,6}, {1,4}, {1,20}, {2,36}, {3,37}, {1,31}, {2,45}, {3,9}, {3,24}, {2,12}, {2,33}, {2,21}, {1,38}, {1,7}, {3,4}, {1,16}, {2,20}, {3,7}, {3,16}, {3,28}, {3,15}, {2,18}, {2,38}, {3,25}, {3,19}, {3,30}, {2,15}, {2,5}, {3,18}, {3,31}, {1,5}, {2,27}, {1,17}, {3,6}, {3,45}, {3,39}, {2,42}, {3,34}, {1,28}, {2,17}, {3,13}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,41}, {1,41}, {1,22}, {2,8}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {3,10}, {3,36}, {3,43} }; // ETB45.98 (= ET45.131) // Bipartite(9,36) Valencies [28,7] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 362880 EdgesBipt[45][98]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {4,27}, {7,15}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {8,30}, {6,17}, {7,38}, {8,42}, {8,28}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {4,19}, {2,19}, {1,19}, {3,35}, {5,20}, {9,43}, {2,26}, {1,21}, {7,36}, {8,10}, {2,28}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {4,23}, {8,44}, {8,27}, {8,31}, {9,11}, {2,42}, {6,22}, {3,18}, {3,17}, {8,16}, {2,45}, {4,38}, {6,21}, {3,34}, {5,40}, {2,25}, {6,31}, {6,40}, {1,38}, {2,34}, {1,17}, {2,36}, {5,22}, {4,22}, {8,19}, {9,29}, {3,14}, {7,20}, {9,32}, {9,26}, {9,27}, {2,10}, {4,41}, {5,29}, {8,41}, {2,38}, {9,19}, {2,37}, {5,43}, {8,14}, {7,39}, {5,25}, {2,39}, {7,32}, {4,45}, {7,13}, {9,14}, {7,43}, {6,12}, {3,44}, {6,43}, {4,33}, {5,23}, {2,13}, {9,42}, {2,20}, {6,18}, {1,29}, {7,30}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {7,17}, {8,11}, {5,24}, {9,37}, {1,45}, {8,13}, {8,22}, {8,35}, {9,10}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {5,28}, {8,26}, {9,22}, {7,31}, {5,41}, {4,36}, {2,17}, {9,13}, {5,12}, {9,40}, {1,42}, {8,21}, {1,24}, {5,31}, {6,27}, {5,44}, {8,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {6,41}, {1,15}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {8,34}, {9,18}, {2,29}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {8,24}, {6,25}, {6,38}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {5,10}, {5,26}, {8,18}, {3,42}, {4,18}, {9,39}, {4,25}, {3,38}, {4,11}, {4,12}, {8,20}, {7,10}, {7,27}, {7,45}, {1,41}, {5,45}, {3,41}, {3,31}, {7,24}, {2,12}, {1,14}, {5,15}, {6,39}, {6,37}, {7,33}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {1,34}, {9,31}, {5,37}, {7,19}, {6,35}, {9,16}, {9,21}, {7,40}, {4,44}, {7,42}, {9,23}, {8,29}, {4,32}, {7,18} }; // ETB45.99 (= ET45.132) // Bipartite(10,35) Valencies [28,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12487741686153216000000 EdgesBipt[45][99]:={ {6,38}, {10,37}, {9,32}, {5,38}, {5,22}, {10,18}, {9,17}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {2,35}, {4,31}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {1,12}, {10,42}, {9,11}, {6,29}, {3,18}, {8,16}, {10,17}, {2,34}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {1,17}, {4,16}, {7,45}, {5,41}, {1,13}, {7,27}, {6,39}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {6,44}, {8,38}, {6,24}, {2,29}, {1,38}, {1,26}, {7,15}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {8,18}, {10,12}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {2,13}, {8,15}, {6,36}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,26}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {9,22}, {4,11}, {9,19}, {3,44}, {3,25}, {7,35}, {2,43}, {2,27}, {2,12}, {1,22}, {7,34}, {10,31}, {9,31}, {6,13}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {7,28}, {6,11}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {4,44}, {7,40}, {5,23}, {5,20}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {8,36}, {2,45}, {3,33}, {10,15}, {3,34}, {1,11}, {4,27}, {2,22}, {8,11}, {8,43}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,25}, {10,41}, {3,28}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {7,18}, {5,18}, {5,16}, {1,23}, {10,27}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,19}, {8,39}, {7,13}, {9,42}, {9,14}, {5,36}, {9,34}, {10,32}, {4,39}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37} }; // ETB45.100 (= ET45.133) // Bipartite(15,30) Valencies [28,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 42849873690624000 EdgesBipt[45][100]:={ {13,21}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {1,40}, {14,38}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {14,44}, {2,33}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {15,45}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {15,34}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {13,45}, {3,25}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {10,29}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {3,32}, {14,27}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {13,29}, {10,22}, {5,40}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {14,40}, {9,41}, {6,23}, {15,17}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {2,45}, {3,33}, {13,32}, {14,26}, {1,45}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {2,22}, {15,29}, {8,43}, {2,31}, {14,19}, {11,45}, {3,45}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {11,26}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.101 (= ET45.134) // Bipartite(17,28) Valencies [28,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 108444951151387442796455278499856384000000000 EdgesBipt[45][101]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {17,19}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {9,30}, {5,40}, {16,31}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {17,38}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {16,44}, {7,21}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {4,19}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB45.102 (= ET45.137) // Bipartite(16,29) Valencies [29,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 184994328434719755358659004499755008000000000 EdgesBipt[45][102]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {10,17}, {3,29}, {9,18}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {16,17}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {16,27}, {9,30}, {5,40}, {16,31}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {10,32}, {16,24}, {4,19}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB45.103 (= ET45.138) // Bipartite(15,30) Valencies [30,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 346864365815099541297485633437040640000000000 EdgesBipt[45][103]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {10,17}, {3,29}, {9,18}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {15,16}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {10,16}, {15,34}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {6,39}, {2,44}, {2,45}, {1,42}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {8,22}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {13,37}, {8,27}, {5,30}, {15,22}, {9,30}, {5,40}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {12,16}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB45.104 (= ET45.140) // Bipartite(14,31) Valencies [31,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 716853022684539052014803642436550656000000000 EdgesBipt[45][104]:={ {13,21}, {6,38}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {14,31}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {14,29}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,15}, {14,33}, {10,38}, {14,23}, {6,16}, {11,33}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {14,43}, {3,22}, {14,37}, {1,44}, {13,38}, {4,15}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {13,32}, {14,26}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {14,19}, {11,45}, {1,33}, {12,36}, {3,45}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {14,24}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {13,23}, {2,40}, {6,21}, {9,45}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.105 (= ET45.141) // Bipartite(5,40) Valencies [32,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12787447486620893184000000 EdgesBipt[45][105]:={ {2,44}, {1,11}, {3,33}, {2,24}, {5,17}, {2,33}, {4,27}, {4,24}, {4,26}, {3,8}, {3,40}, {4,16}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {1,21}, {2,9}, {2,28}, {2,14}, {5,32}, {2,42}, {3,18}, {2,45}, {3,34}, {2,25}, {5,40}, {1,38}, {4,10}, {2,34}, {1,17}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {5,11}, {1,44}, {4,41}, {2,10}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {4,45}, {2,35}, {1,22}, {3,44}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {3,39}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {5,7}, {1,9}, {4,15}, {1,28}, {3,11}, {4,7}, {1,33}, {3,29}, {3,10}, {1,43}, {3,26}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,37}, {3,16}, {4,37}, {4,40}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,40}, {5,27}, {5,10}, {5,26}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {5,45}, {5,6}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,21}, {2,30}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB45.106 (= ET45.142) // Bipartite(9,36) Valencies [32,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 958659120196485120 EdgesBipt[45][106]:={ {6,38}, {6,25}, {9,32}, {5,38}, {9,17}, {4,28}, {5,43}, {9,10}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {3,20}, {2,18}, {1,21}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {1,10}, {8,37}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {6,39}, {2,17}, {1,24}, {2,15}, {5,37}, {9,35}, {6,18}, {1,29}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {9,38}, {4,10}, {9,26}, {5,14}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {9,22}, {9,19}, {3,44}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {1,32}, {9,44}, {6,43}, {6,37}, {9,24}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {7,44}, {8,28}, {7,43}, {9,40}, {8,20}, {5,44}, {5,25}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {4,39}, {7,36}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB45.107 (= ET45.143) // Bipartite(13,32) Valencies [32,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1638521194707517833176694039854972928000000000 EdgesBipt[45][107]:={ {13,21}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {13,43}, {13,27}, {6,14}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {13,25}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {13,38}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {13,14}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {13,32}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {11,45}, {1,33}, {12,36}, {3,45}, {3,14}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {13,23}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.108 (= ET45.146) // Bipartite(12,33) Valencies [33,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4159323032719083730371607947324162048000000000 EdgesBipt[45][108]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {5,39}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {11,45}, {1,33}, {12,36}, {3,45}, {3,14}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.109 (= ET45.147) // Bipartite(11,34) Valencies [34,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11784748592704070569386222517418459136000000000 EdgesBipt[45][109]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {3,44}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {8,43}, {2,31}, {11,45}, {1,33}, {3,45}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB45.110 (= ET45.148) // Bipartite(10,35) Valencies [35,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37496927340422042720774344373604188160000000000 EdgesBipt[45][110]:={ {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {4,11}, {3,44}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {3,33}, {2,11}, {1,45}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB45.111 (= ET45.149) // Bipartite(9,36) Valencies [36,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 134988938425519353794787639744975077376000000000 EdgesBipt[45][111]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {9,22}, {4,11}, {3,44}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {3,33}, {2,11}, {1,45}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,43}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB45.112 (= ET45.151) // Bipartite(8,37) Valencies [37,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 554954524638246232267460296729341984768000000000 EdgesBipt[45][112]:={ {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,9}, {2,32}, {6,33}, {2,14}, {5,33}, {5,30}, {6,40} }; // ETB45.113 (= ET45.152) // Bipartite(7,38) Valencies [38,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2636033992031669603270436409464374427648000000000 EdgesBipt[45][113]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {7,15}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {7,34}, {1,21}, {2,9}, {7,36}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {2,45}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {7,12}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {4,22}, {5,22}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {4,45}, {7,13}, {7,25}, {7,43}, {2,35}, {1,22}, {3,44}, {6,12}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {7,17}, {5,24}, {1,45}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {5,28}, {5,42}, {7,31}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {1,25}, {6,19}, {6,9}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {7,9}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,27}, {7,45}, {1,41}, {5,45}, {3,41}, {3,31}, {7,24}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {7,33}, {5,19}, {6,20}, {7,35}, {2,30}, {5,21}, {6,13}, {7,37}, {2,18}, {5,35}, {1,34}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {4,44}, {7,42}, {7,21}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB45.114 (= ET45.153) // Bipartite(6,39) Valencies [39,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14686475098462159218221002852730086096896000000000 EdgesBipt[45][114]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {2,45}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {6,12}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {5,24}, {5,7}, {1,45}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {5,28}, {5,42}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,19}, {6,20}, {2,30}, {5,21}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB45.115 (= ET45.154) // Bipartite(5,40) Valencies [40,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 97909833989747728121473352351533907312640000000000 EdgesBipt[45][115]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {1,45}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB45.116 (= ET45.156) // Bipartite(4,41) Valencies [41,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 802860638715931370596081489282578039963648000000000 EdgesBipt[45][116]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {4,27}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {4,41}, {2,10}, {2,38}, {2,37}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,33}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {2,40}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36} }; // ETB45.117 (= ET45.157) // Bipartite(3,42) Valencies [42,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8430036706517279391258855637467069419618304000000000 EdgesBipt[45][117]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {2,11}, {1,40}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {3,5}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {1,7}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB45.118 (= ET45.159) // Bipartite(2,43) Valencies [43,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 120830526126747671274710264137027995014529024000000000 EdgesBipt[45][118]:={ {2,11}, {1,26}, {2,14}, {2,44}, {1,14}, {1,44}, {2,37}, {1,24}, {2,26}, {1,29}, {2,30}, {2,32}, {1,30}, {2,29}, {1,32}, {2,24}, {2,10}, {1,37}, {1,33}, {1,40}, {1,10}, {1,43}, {2,39}, {1,39}, {2,43}, {1,36}, {1,6}, {1,45}, {2,40}, {2,6}, {1,4}, {1,20}, {1,12}, {2,36}, {1,31}, {2,45}, {2,12}, {2,4}, {2,33}, {2,21}, {1,38}, {2,16}, {1,7}, {1,15}, {2,7}, {2,31}, {1,16}, {2,20}, {1,21}, {2,18}, {2,38}, {2,3}, {2,15}, {2,5}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {2,27}, {2,28}, {2,42}, {1,28}, {2,19}, {1,42}, {2,17}, {2,23}, {1,8}, {1,13}, {2,35}, {1,19}, {2,9}, {2,34}, {1,9}, {2,41}, {1,41}, {1,22}, {2,13}, {2,8}, {2,25}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25}, {2,22} }; // ETB45.119 (= ET45.160) // Bipartite(1,44) Valencies [44,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 2658271574788448768043625811014615890319638528000000000 EdgesBipt[45][119]:={ {1,26}, {1,14}, {1,44}, {1,24}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 45 is 119 // ******************************************************************************************** // Order 46 // ETB46.1 (= ET46.1) // Bipartite(23,23) Valencies [2,2] // Diameter 23 Girth 46 // Twin-free VT AT // Automorphism group of order 92 EdgesBipt[46][1]:={ {14,46}, {3,24}, {15,41}, {22,26}, {17,37}, {21,33}, {4,30}, {23,29}, {14,43}, {5,27}, {12,46}, {10,42}, {6,30}, {1,24}, {13,45}, {20,35}, {12,42}, {2,25}, {10,38}, {7,36}, {16,39}, {3,27}, {11,40}, {19,37}, {8,38}, {9,40}, {18,35}, {22,31}, {17,41}, {13,44}, {19,33}, {18,39}, {21,28}, {4,25}, {23,28}, {5,32}, {2,29}, {7,32}, {15,45}, {11,44}, {8,34}, {1,26}, {20,31}, {6,34}, {9,36}, {16,43} }; // ETB46.2 (= ET46.3) // Bipartite(23,23) Valencies [11,11] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 506 EdgesBipt[46][2]:={ {3,33}, {16,41}, {10,25}, {2,33}, {11,36}, {18,39}, {4,27}, {11,35}, {13,40}, {16,33}, {23,29}, {3,40}, {17,38}, {12,45}, {15,46}, {10,37}, {18,32}, {16,27}, {8,30}, {16,40}, {18,46}, {12,32}, {8,42}, {19,44}, {15,31}, {21,37}, {4,29}, {20,27}, {22,46}, {1,32}, {8,33}, {1,27}, {19,24}, {1,40}, {17,34}, {9,44}, {12,39}, {4,31}, {12,41}, {10,33}, {12,42}, {2,27}, {21,42}, {13,35}, {2,26}, {8,39}, {7,34}, {17,24}, {21,43}, {7,36}, {15,43}, {10,44}, {8,25}, {2,41}, {1,30}, {5,32}, {17,40}, {9,35}, {14,28}, {20,30}, {13,29}, {12,37}, {16,29}, {2,45}, {16,30}, {23,32}, {4,38}, {2,25}, {11,38}, {6,40}, {6,31}, {21,46}, {2,34}, {2,36}, {10,38}, {9,32}, {14,36}, {19,26}, {16,24}, {9,26}, {19,30}, {12,36}, {15,40}, {5,29}, {12,46}, {2,37}, {5,43}, {8,45}, {14,30}, {22,35}, {4,42}, {9,41}, {7,32}, {17,39}, {15,26}, {10,41}, {4,45}, {7,43}, {22,27}, {15,27}, {21,44}, {19,38}, {6,30}, {23,26}, {23,41}, {21,26}, {9,34}, {15,42}, {10,40}, {17,43}, {7,30}, {3,39}, {13,31}, {4,35}, {23,42}, {15,41}, {18,44}, {11,29}, {20,44}, {13,44}, {5,30}, {6,44}, {6,46}, {15,35}, {12,28}, {23,25}, {14,42}, {15,34}, {13,25}, {8,35}, {10,42}, {18,26}, {19,31}, {1,28}, {14,41}, {3,27}, {23,38}, {4,28}, {20,43}, {18,33}, {3,29}, {3,26}, {22,43}, {8,37}, {21,33}, {5,28}, {13,36}, {18,31}, {7,31}, {10,43}, {5,41}, {17,28}, {20,29}, {12,27}, {22,25}, {16,45}, {1,24}, {13,24}, {5,31}, {17,25}, {22,33}, {20,39}, {21,29}, {10,32}, {18,25}, {17,29}, {20,25}, {1,25}, {22,28}, {11,46}, {16,44}, {19,45}, {17,41}, {20,46}, {6,41}, {6,28}, {22,31}, {1,35}, {13,42}, {1,37}, {5,39}, {14,25}, {22,24}, {11,26}, {14,45}, {6,36}, {3,30}, {5,33}, {8,34}, {11,37}, {2,29}, {16,35}, {18,28}, {10,27}, {8,38}, {20,34}, {1,26}, {4,34}, {14,44}, {23,46}, {11,32}, {19,39}, {19,43}, {6,38}, {2,31}, {11,40}, {9,33}, {9,36}, {20,36}, {6,34}, {14,43}, {16,46}, {18,45}, {3,42}, {9,39}, {9,38}, {17,45}, {3,38}, {11,45}, {12,24}, {3,28}, {7,45}, {8,46}, {14,35}, {13,37}, {23,31}, {7,24}, {15,39}, {21,34}, {9,24}, {18,40}, {7,33}, {6,37}, {13,39}, {21,24}, {11,43}, {5,35}, {22,36}, {1,34}, {5,37}, {21,28}, {23,24}, {3,36}, {7,40}, {7,42}, {4,44}, {19,37}, {20,32}, {4,32}, {19,27}, {22,38}, {14,26}, {23,30} }; // ETB46.3 (= ET46.4) // Bipartite(22,24) Valencies [12,11] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 15840 EdgesBipt[46][3]:={ {15,33}, {18,45}, {19,28}, {11,40}, {9,32}, {6,25}, {5,38}, {19,26}, {11,25}, {4,28}, {5,45}, {8,26}, {1,40}, {14,38}, {13,39}, {17,33}, {8,40}, {10,33}, {21,30}, {14,31}, {21,41}, {10,39}, {3,39}, {20,37}, {21,28}, {1,35}, {7,30}, {8,31}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {13,40}, {14,44}, {6,32}, {17,35}, {4,38}, {11,35}, {6,29}, {12,28}, {22,37}, {2,25}, {21,40}, {4,43}, {16,42}, {15,32}, {12,46}, {20,43}, {7,45}, {8,37}, {20,24}, {5,41}, {21,38}, {13,30}, {6,39}, {10,26}, {7,33}, {12,31}, {12,23}, {22,25}, {5,37}, {16,25}, {13,42}, {20,35}, {1,36}, {16,34}, {6,46}, {15,45}, {10,35}, {18,39}, {6,44}, {4,23}, {17,36}, {6,24}, {2,29}, {1,26}, {20,36}, {20,42}, {22,34}, {18,29}, {9,36}, {6,34}, {9,29}, {8,42}, {18,26}, {22,43}, {5,27}, {19,46}, {15,28}, {5,28}, {14,46}, {9,46}, {7,32}, {19,38}, {3,31}, {12,27}, {1,39}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,32}, {19,27}, {6,36}, {3,30}, {2,24}, {22,26}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {13,25}, {8,41}, {18,38}, {7,46}, {3,29}, {13,36}, {1,41}, {15,23}, {20,31}, {13,45}, {3,25}, {11,34}, {17,28}, {21,42}, {7,35}, {19,45}, {2,43}, {12,30}, {7,34}, {11,24}, {10,31}, {10,44}, {17,46}, {22,31}, {20,30}, {9,30}, {22,45}, {16,41}, {20,44}, {17,44}, {19,41}, {17,30}, {5,40}, {16,30}, {7,23}, {10,25}, {12,29}, {11,32}, {15,24}, {21,32}, {15,40}, {14,37}, {1,44}, {18,31}, {9,41}, {16,31}, {7,39}, {3,41}, {1,32}, {21,39}, {19,29}, {6,43}, {7,24}, {10,28}, {5,31}, {17,25}, {16,44}, {4,44}, {17,41}, {5,23}, {12,43}, {10,40}, {2,28}, {8,29}, {9,23}, {8,36}, {8,27}, {2,45}, {3,33}, {13,32}, {14,26}, {19,33}, {19,39}, {3,34}, {4,27}, {16,46}, {15,29}, {4,46}, {2,31}, {16,38}, {11,45}, {18,27}, {1,33}, {12,36}, {16,27}, {3,45}, {12,44}, {19,25}, {2,37}, {4,42}, {12,33}, {12,39}, {22,33}, {21,44}, {14,24}, {11,41}, {6,26}, {1,34}, {22,27}, {13,35}, {21,29}, {17,24}, {20,23}, {8,44}, {18,23}, {6,42}, {4,35}, {19,32}, {18,43}, {20,34}, {11,37}, {1,23}, {16,35}, {10,24}, {3,40}, {9,45}, {14,41}, {4,26}, {22,46}, {17,37}, {16,39}, {13,28}, {9,27}, {7,38}, {2,38}, {15,36}, {22,35}, {10,43}, {8,28}, {7,43}, {18,40}, {20,40}, {1,27}, {15,26}, {22,36}, {9,42}, {9,34}, {15,43}, {21,24}, {17,32}, {8,25}, {2,42}, {18,42}, {18,34}, {11,26}, {5,33}, {5,30}, {11,38}, {9,37}, {21,23} }; // ETB46.4 (= ET46.5) // Bipartite(22,24) Valencies [12,11] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32440320 EdgesBipt[46][4]:={ {15,33}, {19,28}, {6,38}, {11,40}, {14,36}, {6,25}, {5,43}, {5,45}, {3,26}, {8,26}, {22,40}, {11,43}, {4,31}, {8,40}, {20,46}, {10,33}, {14,31}, {15,27}, {14,45}, {16,37}, {19,37}, {20,37}, {21,28}, {16,28}, {1,35}, {15,41}, {4,37}, {13,43}, {14,29}, {2,33}, {4,38}, {11,29}, {10,42}, {11,27}, {19,40}, {22,37}, {2,25}, {4,24}, {4,43}, {21,40}, {16,42}, {18,32}, {4,30}, {20,43}, {17,39}, {7,41}, {7,27}, {11,39}, {10,26}, {12,31}, {20,29}, {17,26}, {1,24}, {12,23}, {22,25}, {18,35}, {16,25}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {6,46}, {15,45}, {10,35}, {18,39}, {8,38}, {13,26}, {6,24}, {2,29}, {5,34}, {18,46}, {13,41}, {16,40}, {20,42}, {9,36}, {6,34}, {9,29}, {9,39}, {18,26}, {3,38}, {5,27}, {19,46}, {15,28}, {20,41}, {2,39}, {1,42}, {7,32}, {12,27}, {7,37}, {2,30}, {11,42}, {3,36}, {20,25}, {4,32}, {1,30}, {14,28}, {6,36}, {3,30}, {22,26}, {3,24}, {14,33}, {10,38}, {15,34}, {21,31}, {19,30}, {8,24}, {9,38}, {9,26}, {18,38}, {7,46}, {8,45}, {3,29}, {17,31}, {1,41}, {22,29}, {15,23}, {20,31}, {13,45}, {11,44}, {17,28}, {19,45}, {2,27}, {22,44}, {7,34}, {10,31}, {9,31}, {17,46}, {20,30}, {13,31}, {5,39}, {18,44}, {6,45}, {13,29}, {15,46}, {10,30}, {16,30}, {12,45}, {17,38}, {15,35}, {11,32}, {21,32}, {12,25}, {15,40}, {3,42}, {14,43}, {14,37}, {1,44}, {13,38}, {19,44}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {22,41}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,25}, {19,34}, {4,44}, {2,41}, {12,43}, {2,26}, {10,40}, {7,29}, {18,30}, {9,23}, {22,38}, {8,36}, {13,44}, {8,27}, {2,45}, {21,46}, {5,46}, {16,36}, {13,32}, {1,45}, {11,30}, {19,33}, {3,34}, {5,24}, {15,29}, {18,27}, {1,33}, {16,27}, {12,44}, {19,25}, {2,37}, {4,42}, {4,25}, {3,28}, {21,34}, {12,33}, {8,33}, {12,39}, {17,34}, {21,35}, {11,31}, {21,44}, {14,24}, {13,34}, {11,41}, {7,25}, {6,26}, {21,43}, {22,23}, {17,40}, {20,23}, {8,44}, {16,23}, {18,23}, {19,32}, {13,33}, {14,25}, {20,34}, {11,28}, {1,23}, {16,35}, {3,40}, {17,27}, {10,45}, {14,41}, {4,26}, {17,37}, {16,39}, {16,24}, {9,27}, {5,42}, {2,38}, {12,32}, {22,35}, {10,43}, {21,36}, {7,44}, {8,28}, {10,23}, {9,43}, {8,39}, {22,32}, {5,36}, {13,46}, {12,35}, {7,36}, {21,24}, {6,35}, {17,43}, {22,28}, {2,42}, {18,42}, {6,33}, {18,34}, {3,46}, {5,33}, {5,30}, {21,23} }; // ETB46.5 (= ET46.6) // Bipartite(18,28) Valencies [14,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 722505054698864640000 EdgesBipt[46][5]:={ {2,44}, {3,33}, {10,24}, {1,20}, {2,24}, {13,32}, {2,33}, {18,39}, {5,34}, {13,40}, {4,24}, {16,26}, {4,26}, {17,38}, {4,30}, {11,25}, {16,40}, {18,46}, {9,45}, {5,38}, {12,22}, {8,28}, {18,38}, {15,31}, {1,32}, {3,45}, {8,33}, {1,27}, {3,43}, {3,25}, {12,38}, {7,44}, {1,40}, {10,26}, {17,34}, {12,39}, {1,19}, {12,42}, {3,35}, {9,43}, {3,37}, {13,35}, {11,41}, {12,35}, {7,36}, {15,43}, {17,21}, {10,44}, {8,25}, {2,41}, {2,28}, {12,34}, {9,35}, {14,28}, {8,44}, {17,46}, {18,34}, {10,22}, {6,22}, {15,25}, {18,42}, {10,30}, {2,45}, {15,45}, {16,30}, {4,38}, {15,29}, {2,25}, {11,38}, {11,33}, {6,31}, {14,33}, {2,36}, {5,22}, {4,22}, {10,38}, {9,29}, {7,20}, {17,37}, {14,21}, {14,36}, {16,24}, {9,27}, {1,44}, {5,29}, {8,41}, {12,46}, {9,19}, {2,37}, {8,45}, {14,40}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {1,31}, {11,22}, {7,43}, {10,28}, {14,24}, {17,33}, {15,27}, {6,30}, {6,43}, {15,19}, {2,20}, {10,40}, {12,43}, {3,39}, {13,31}, {18,30}, {11,21}, {9,25}, {15,41}, {8,36}, {2,32}, {18,43}, {16,32}, {1,23}, {13,43}, {11,29}, {13,44}, {5,30}, {17,30}, {6,46}, {11,30}, {15,35}, {9,37}, {5,46}, {13,23}, {15,37}, {10,42}, {13,28}, {18,26}, {1,28}, {18,27}, {14,41}, {3,27}, {14,37}, {10,46}, {4,28}, {3,29}, {6,23}, {1,43}, {4,46}, {16,38}, {8,37}, {13,36}, {18,31}, {5,42}, {12,26}, {16,22}, {7,31}, {5,41}, {4,36}, {12,27}, {8,32}, {8,21}, {3,19}, {1,24}, {12,23}, {6,27}, {13,24}, {17,25}, {6,26}, {8,40}, {12,19}, {12,30}, {3,23}, {18,19}, {1,39}, {10,32}, {17,29}, {3,21}, {6,19}, {11,46}, {16,44}, {17,41}, {18,23}, {13,27}, {1,35}, {14,20}, {15,21}, {16,34}, {14,25}, {7,28}, {11,26}, {6,42}, {14,45}, {4,40}, {7,23}, {13,19}, {16,36}, {2,21}, {5,33}, {11,37}, {2,29}, {4,34}, {14,44}, {10,36}, {10,34}, {18,22}, {14,32}, {15,33}, {16,20}, {8,24}, {6,38}, {2,40}, {9,33}, {16,42}, {6,34}, {5,26}, {16,46}, {9,39}, {17,45}, {4,20}, {11,45}, {8,20}, {7,27}, {15,23}, {5,45}, {3,41}, {7,24}, {3,31}, {15,39}, {10,20}, {17,26}, {6,39}, {12,31}, {11,34}, {17,42}, {7,35}, {13,39}, {17,22}, {5,21}, {13,20}, {9,31}, {5,37}, {7,19}, {6,35}, {9,21}, {11,42}, {16,28}, {18,35}, {7,40}, {4,44}, {9,23}, {8,29}, {4,32}, {1,36}, {14,29} }; // ETB46.6 (= ET46.7) // Bipartite(16,30) Valencies [15,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 322560 EdgesBipt[46][6]:={ {16,41}, {10,25}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {2,33}, {6,32}, {11,36}, {2,46}, {12,29}, {13,40}, {4,24}, {15,24}, {16,33}, {3,22}, {10,37}, {11,25}, {16,27}, {8,30}, {6,17}, {14,39}, {9,45}, {5,38}, {12,32}, {7,38}, {8,42}, {8,28}, {16,31}, {4,29}, {1,32}, {3,45}, {3,43}, {1,40}, {10,26}, {4,19}, {16,19}, {12,39}, {4,31}, {12,41}, {15,44}, {12,42}, {5,20}, {9,43}, {13,35}, {2,26}, {8,39}, {7,34}, {1,21}, {16,25}, {7,36}, {15,43}, {10,44}, {2,41}, {12,34}, {1,30}, {16,23}, {14,28}, {8,44}, {8,27}, {13,29}, {16,29}, {2,42}, {11,28}, {16,43}, {10,30}, {4,38}, {3,34}, {14,23}, {11,38}, {6,31}, {11,33}, {2,34}, {1,17}, {5,22}, {4,22}, {8,19}, {9,29}, {10,38}, {9,32}, {12,20}, {1,44}, {5,29}, {12,46}, {5,43}, {7,46}, {14,30}, {14,40}, {2,39}, {15,26}, {1,31}, {4,45}, {7,25}, {10,28}, {2,35}, {3,44}, {6,43}, {4,33}, {3,20}, {9,34}, {15,19}, {15,42}, {10,21}, {2,20}, {6,18}, {13,18}, {16,37}, {12,43}, {1,29}, {7,30}, {3,32}, {11,21}, {15,41}, {7,26}, {6,33}, {13,33}, {5,18}, {1,23}, {13,44}, {5,30}, {6,44}, {15,35}, {5,46}, {12,28}, {12,25}, {15,37}, {8,22}, {13,25}, {8,35}, {13,28}, {14,41}, {3,27}, {14,37}, {10,45}, {6,23}, {3,26}, {13,36}, {15,36}, {5,42}, {9,22}, {7,31}, {2,17}, {10,43}, {14,17}, {16,45}, {8,21}, {1,42}, {3,19}, {1,24}, {14,18}, {14,22}, {5,31}, {6,27}, {6,26}, {8,40}, {12,19}, {12,30}, {8,23}, {5,36}, {3,21}, {1,25}, {11,46}, {10,39}, {13,27}, {1,37}, {16,21}, {4,37}, {6,42}, {11,26}, {14,45}, {15,18}, {4,40}, {10,35}, {7,23}, {2,21}, {3,30}, {8,34}, {10,17}, {11,37}, {11,27}, {16,35}, {8,38}, {2,22}, {15,22}, {11,32}, {9,17}, {14,32}, {15,33}, {6,25}, {13,41}, {6,38}, {2,40}, {2,31}, {11,40}, {9,33}, {9,36}, {6,34}, {5,27}, {16,46}, {4,18}, {15,28}, {16,39}, {9,38}, {11,19}, {4,20}, {12,24}, {7,45}, {15,23}, {1,41}, {3,41}, {7,24}, {3,31}, {9,24}, {9,46}, {10,20}, {6,39}, {14,46}, {13,34}, {7,35}, {13,17}, {13,45}, {13,20}, {5,35}, {5,37}, {7,19}, {9,21}, {3,36}, {11,42}, {4,39}, {7,40}, {4,44}, {9,23}, {14,27}, {8,29}, {4,32}, {12,18}, {1,36}, {14,26}, {7,18} }; // ETB46.7 (= ET46.8) // Bipartite(16,30) Valencies [15,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23776267862016000000 EdgesBipt[46][7]:={ {2,44}, {3,33}, {2,24}, {5,17}, {10,24}, {9,28}, {6,32}, {11,36}, {4,27}, {5,34}, {13,40}, {15,24}, {16,26}, {16,33}, {4,26}, {12,45}, {11,25}, {16,27}, {16,40}, {6,17}, {2,23}, {12,22}, {12,32}, {8,28}, {15,31}, {3,45}, {8,33}, {3,43}, {3,25}, {10,23}, {12,38}, {1,40}, {10,26}, {14,38}, {12,39}, {1,19}, {9,43}, {3,37}, {13,35}, {2,26}, {8,39}, {7,36}, {15,43}, {10,44}, {2,41}, {12,34}, {9,35}, {8,44}, {8,27}, {13,29}, {2,42}, {15,25}, {3,18}, {10,30}, {6,29}, {15,45}, {4,38}, {5,40}, {14,23}, {11,33}, {1,17}, {2,36}, {5,22}, {4,22}, {9,29}, {10,38}, {14,36}, {12,20}, {5,29}, {2,38}, {12,46}, {9,19}, {5,43}, {12,44}, {8,45}, {14,30}, {7,39}, {9,41}, {5,25}, {1,31}, {10,41}, {4,45}, {7,43}, {7,25}, {11,31}, {14,24}, {2,35}, {1,22}, {15,27}, {6,30}, {4,33}, {5,23}, {4,21}, {10,29}, {9,34}, {13,22}, {15,19}, {15,42}, {2,20}, {6,18}, {1,29}, {7,30}, {3,39}, {13,31}, {11,21}, {9,25}, {2,32}, {16,32}, {1,23}, {13,43}, {6,24}, {6,44}, {11,30}, {9,37}, {5,46}, {13,23}, {12,28}, {15,37}, {8,22}, {14,42}, {13,25}, {10,42}, {13,28}, {1,28}, {14,41}, {3,27}, {4,28}, {6,23}, {1,43}, {4,46}, {16,38}, {5,28}, {15,36}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {12,33}, {5,41}, {2,17}, {12,27}, {9,40}, {14,17}, {8,32}, {16,45}, {8,21}, {3,19}, {14,18}, {5,31}, {11,24}, {11,39}, {6,26}, {8,40}, {12,40}, {10,32}, {3,21}, {1,25}, {1,46}, {16,44}, {6,41}, {1,35}, {13,46}, {1,37}, {14,20}, {15,21}, {16,34}, {16,21}, {6,42}, {15,18}, {4,40}, {10,35}, {13,19}, {6,36}, {3,30}, {8,34}, {10,17}, {3,24}, {11,37}, {2,29}, {11,27}, {8,38}, {4,34}, {14,44}, {10,36}, {9,17}, {10,18}, {14,32}, {15,33}, {16,20}, {13,41}, {6,38}, {16,46}, {3,42}, {16,39}, {11,19}, {4,20}, {11,45}, {8,20}, {7,27}, {7,45}, {8,46}, {14,35}, {1,41}, {13,37}, {7,24}, {3,31}, {15,39}, {9,46}, {10,20}, {7,33}, {13,34}, {5,19}, {6,20}, {11,43}, {2,30}, {13,17}, {15,30}, {7,37}, {5,35}, {2,18}, {9,31}, {1,34}, {5,37}, {7,19}, {6,35}, {3,36}, {11,42}, {4,39}, {16,28}, {7,42}, {9,23}, {4,44}, {7,21}, {4,32}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18} }; // ETB46.8 (= ET46.9) // Bipartite(16,30) Valencies [15,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36691771392000000 EdgesBipt[46][8]:={ {11,17}, {13,32}, {2,33}, {6,32}, {11,36}, {2,46}, {12,29}, {13,21}, {11,35}, {4,24}, {14,19}, {16,26}, {15,46}, {4,30}, {11,25}, {8,30}, {16,40}, {2,23}, {9,45}, {5,38}, {12,22}, {7,38}, {8,42}, {8,28}, {4,29}, {1,27}, {3,43}, {3,25}, {10,23}, {7,44}, {14,38}, {7,22}, {12,41}, {15,44}, {10,33}, {2,27}, {1,19}, {12,42}, {3,35}, {5,20}, {9,43}, {3,37}, {14,31}, {7,34}, {1,21}, {11,41}, {16,18}, {12,35}, {2,41}, {2,28}, {12,34}, {5,32}, {9,35}, {8,44}, {4,23}, {10,22}, {3,18}, {3,17}, {2,45}, {15,45}, {16,30}, {6,31}, {2,34}, {1,17}, {4,22}, {9,29}, {7,20}, {14,36}, {12,17}, {15,32}, {16,24}, {9,27}, {12,36}, {15,40}, {4,41}, {12,46}, {9,19}, {5,43}, {7,46}, {14,30}, {7,39}, {4,42}, {9,41}, {5,25}, {2,39}, {7,32}, {15,26}, {1,31}, {10,41}, {10,28}, {11,31}, {14,24}, {2,35}, {15,27}, {6,30}, {6,43}, {10,29}, {10,21}, {6,18}, {10,40}, {1,29}, {13,31}, {4,35}, {9,25}, {8,36}, {7,26}, {13,33}, {16,32}, {1,23}, {11,23}, {13,43}, {6,24}, {11,29}, {13,44}, {6,44}, {11,30}, {9,37}, {12,28}, {8,22}, {1,45}, {14,42}, {15,34}, {13,25}, {15,20}, {14,37}, {10,46}, {4,28}, {1,33}, {10,45}, {3,29}, {1,43}, {4,46}, {16,38}, {8,26}, {16,22}, {2,17}, {4,36}, {8,32}, {3,19}, {14,18}, {12,23}, {5,31}, {11,24}, {5,44}, {6,26}, {8,40}, {12,40}, {12,30}, {3,23}, {1,39}, {1,25}, {6,19}, {16,44}, {10,39}, {13,27}, {1,35}, {1,37}, {14,20}, {15,21}, {16,34}, {5,39}, {14,25}, {7,28}, {6,42}, {13,26}, {4,40}, {10,35}, {13,19}, {16,36}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {10,17}, {3,24}, {11,37}, {2,29}, {10,27}, {8,38}, {2,22}, {4,34}, {14,44}, {10,34}, {15,22}, {9,17}, {14,32}, {15,33}, {16,20}, {8,24}, {6,25}, {6,38}, {2,40}, {9,33}, {16,42}, {5,27}, {14,43}, {15,38}, {5,26}, {8,18}, {16,46}, {3,42}, {4,18}, {15,28}, {9,39}, {13,38}, {11,19}, {8,20}, {12,24}, {7,27}, {7,45}, {8,46}, {1,41}, {13,37}, {5,45}, {3,41}, {3,31}, {15,39}, {7,33}, {6,37}, {5,19}, {6,20}, {13,39}, {11,43}, {5,21}, {13,45}, {13,20}, {9,31}, {5,37}, {4,17}, {9,21}, {3,36}, {11,42}, {16,28}, {7,40}, {9,23}, {7,21}, {12,18}, {11,18}, {14,26} }; // ETB46.9 (= ET46.10) // Bipartite(16,30) Valencies [15,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 116095057920 EdgesBipt[46][9]:={ {10,24}, {11,20}, {6,32}, {4,27}, {2,46}, {15,24}, {16,26}, {16,33}, {4,26}, {3,40}, {12,45}, {15,46}, {10,37}, {4,30}, {16,40}, {8,43}, {9,45}, {12,22}, {12,32}, {7,38}, {8,42}, {4,29}, {8,33}, {1,27}, {10,23}, {12,38}, {4,19}, {14,38}, {7,22}, {2,19}, {15,44}, {1,19}, {2,27}, {10,33}, {12,42}, {5,20}, {9,43}, {3,37}, {13,35}, {2,26}, {14,31}, {1,21}, {11,41}, {12,35}, {7,36}, {8,25}, {10,44}, {2,28}, {12,34}, {5,32}, {16,23}, {9,35}, {14,28}, {8,44}, {4,23}, {8,31}, {6,22}, {3,18}, {11,28}, {16,43}, {10,30}, {6,29}, {3,17}, {2,45}, {16,30}, {6,21}, {2,25}, {5,40}, {11,38}, {6,31}, {1,17}, {2,36}, {5,22}, {9,29}, {7,20}, {9,32}, {14,21}, {16,24}, {9,26}, {12,36}, {15,40}, {5,29}, {8,41}, {2,38}, {12,46}, {9,19}, {2,37}, {5,43}, {12,44}, {7,46}, {8,45}, {7,39}, {2,39}, {7,32}, {15,26}, {1,31}, {10,41}, {11,22}, {11,31}, {14,24}, {2,35}, {11,44}, {15,27}, {4,33}, {5,23}, {3,20}, {10,31}, {9,42}, {10,21}, {6,18}, {10,40}, {1,29}, {7,30}, {3,39}, {11,21}, {9,25}, {7,26}, {13,33}, {16,32}, {1,23}, {13,43}, {13,44}, {5,30}, {11,30}, {13,23}, {12,28}, {12,25}, {15,37}, {8,22}, {1,45}, {15,34}, {13,25}, {8,35}, {15,20}, {14,41}, {3,27}, {14,37}, {4,43}, {1,33}, {15,17}, {3,29}, {1,43}, {4,46}, {13,36}, {15,36}, {5,42}, {12,26}, {16,22}, {9,22}, {5,41}, {4,36}, {2,17}, {10,43}, {14,17}, {8,32}, {8,21}, {3,19}, {14,18}, {5,31}, {11,24}, {13,24}, {8,23}, {14,34}, {1,39}, {3,21}, {1,25}, {6,19}, {16,44}, {7,29}, {6,41}, {6,28}, {13,27}, {1,35}, {13,46}, {1,37}, {16,34}, {5,39}, {14,25}, {7,28}, {4,37}, {6,42}, {13,26}, {14,45}, {15,18}, {4,40}, {16,36}, {3,30}, {5,33}, {8,34}, {10,17}, {2,29}, {6,45}, {10,27}, {14,44}, {10,34}, {11,32}, {16,20}, {8,24}, {6,25}, {6,38}, {11,40}, {9,33}, {9,36}, {16,42}, {15,38}, {16,46}, {15,28}, {9,39}, {3,38}, {4,20}, {3,28}, {12,24}, {14,35}, {1,41}, {13,37}, {3,41}, {3,31}, {9,46}, {10,20}, {6,39}, {11,34}, {13,34}, {5,19}, {5,21}, {13,17}, {13,45}, {15,30}, {2,18}, {7,19}, {4,17}, {6,35}, {11,42}, {4,39}, {7,40}, {7,42}, {9,23}, {14,27}, {12,18}, {11,18}, {7,18} }; // ETB46.10 (= ET46.11) // Bipartite(14,32) Valencies [16,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 147941222252544 EdgesBipt[46][10]:={ {11,17}, {3,33}, {5,17}, {1,20}, {10,24}, {10,25}, {9,28}, {13,32}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {13,21}, {11,35}, {5,34}, {13,40}, {14,19}, {4,26}, {3,40}, {4,30}, {11,25}, {8,30}, {9,45}, {12,22}, {12,32}, {8,28}, {1,32}, {3,45}, {1,27}, {3,25}, {10,23}, {12,38}, {7,41}, {1,40}, {4,19}, {9,44}, {14,38}, {4,31}, {1,19}, {10,33}, {12,42}, {5,20}, {3,37}, {9,43}, {2,26}, {8,39}, {7,34}, {11,41}, {2,41}, {12,34}, {8,15}, {9,35}, {14,28}, {8,44}, {4,23}, {8,31}, {13,29}, {13,16}, {2,42}, {10,15}, {10,22}, {6,22}, {10,30}, {6,29}, {3,17}, {2,45}, {4,38}, {6,21}, {2,25}, {6,40}, {11,33}, {2,34}, {14,33}, {4,22}, {9,29}, {10,38}, {14,36}, {9,26}, {9,27}, {12,20}, {12,36}, {1,44}, {2,38}, {12,46}, {9,19}, {2,37}, {12,44}, {8,45}, {14,30}, {4,42}, {5,25}, {7,32}, {11,15}, {1,31}, {10,41}, {7,43}, {7,25}, {11,31}, {3,44}, {6,30}, {6,43}, {12,16}, {5,23}, {3,20}, {10,31}, {9,34}, {9,42}, {13,18}, {10,40}, {13,31}, {3,32}, {11,21}, {4,35}, {7,16}, {8,36}, {7,26}, {5,18}, {1,23}, {11,23}, {6,24}, {11,29}, {7,17}, {6,46}, {9,37}, {13,23}, {12,28}, {8,22}, {9,20}, {4,15}, {1,28}, {14,41}, {10,46}, {4,43}, {3,29}, {1,43}, {4,46}, {8,37}, {5,28}, {5,42}, {12,26}, {5,41}, {2,17}, {14,17}, {8,21}, {1,24}, {14,22}, {5,31}, {6,27}, {13,24}, {5,44}, {11,39}, {12,40}, {12,30}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {6,19}, {13,15}, {1,15}, {10,39}, {1,35}, {13,42}, {14,20}, {5,39}, {14,25}, {3,16}, {13,26}, {2,21}, {5,33}, {9,18}, {10,17}, {3,24}, {11,37}, {2,29}, {11,27}, {6,45}, {8,38}, {2,22}, {4,34}, {14,44}, {1,16}, {6,38}, {9,36}, {14,43}, {5,26}, {4,18}, {11,19}, {11,45}, {3,28}, {8,20}, {12,24}, {7,27}, {8,46}, {14,35}, {13,37}, {3,41}, {7,24}, {5,15}, {14,46}, {7,33}, {6,37}, {13,34}, {7,35}, {13,39}, {11,43}, {2,30}, {13,45}, {2,18}, {7,19}, {6,35}, {9,21}, {3,36}, {4,39}, {7,40}, {7,42}, {14,27}, {8,29}, {12,18}, {1,36}, {7,18}, {10,16} }; // ETB46.11 (= ET46.12) // Bipartite(14,32) Valencies [16,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 176160768 EdgesBipt[46][11]:={ {2,44}, {10,24}, {5,17}, {13,32}, {4,27}, {2,46}, {12,29}, {7,15}, {11,35}, {5,34}, {4,26}, {4,16}, {12,45}, {6,17}, {2,23}, {5,38}, {8,28}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {10,23}, {1,40}, {10,26}, {14,38}, {12,39}, {10,33}, {3,35}, {9,43}, {3,37}, {2,26}, {7,34}, {1,21}, {12,35}, {7,36}, {8,25}, {10,44}, {2,28}, {1,30}, {5,32}, {9,35}, {14,28}, {8,44}, {12,37}, {13,29}, {13,16}, {2,42}, {10,22}, {8,16}, {2,45}, {6,21}, {11,38}, {3,46}, {6,40}, {2,34}, {1,17}, {5,22}, {8,19}, {10,38}, {7,20}, {9,27}, {12,20}, {12,36}, {4,41}, {8,41}, {9,19}, {2,37}, {12,44}, {8,45}, {14,30}, {14,40}, {7,39}, {4,42}, {9,41}, {5,25}, {2,39}, {7,32}, {11,15}, {1,31}, {11,22}, {10,28}, {11,31}, {14,24}, {6,30}, {4,33}, {4,21}, {13,22}, {6,18}, {10,40}, {12,43}, {2,16}, {13,31}, {3,32}, {9,25}, {7,16}, {8,36}, {6,33}, {2,32}, {5,18}, {1,23}, {11,23}, {13,43}, {6,24}, {11,29}, {5,30}, {6,44}, {7,17}, {6,46}, {11,30}, {5,46}, {13,23}, {12,28}, {8,22}, {14,42}, {8,35}, {10,42}, {9,20}, {14,41}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {1,43}, {13,36}, {5,42}, {9,22}, {7,31}, {5,41}, {4,36}, {12,27}, {9,40}, {8,32}, {1,42}, {3,19}, {1,24}, {12,23}, {14,22}, {5,31}, {11,24}, {11,39}, {12,19}, {12,40}, {1,39}, {3,21}, {6,19}, {1,46}, {11,46}, {13,15}, {6,41}, {1,15}, {6,28}, {10,39}, {13,27}, {13,42}, {1,37}, {14,25}, {3,16}, {4,37}, {13,26}, {14,45}, {7,23}, {2,21}, {3,30}, {5,33}, {8,34}, {10,17}, {2,29}, {8,38}, {1,26}, {14,44}, {10,36}, {10,34}, {9,17}, {10,18}, {6,25}, {11,40}, {9,33}, {9,36}, {6,34}, {14,43}, {5,26}, {8,18}, {13,38}, {9,38}, {11,19}, {4,25}, {4,20}, {11,45}, {8,20}, {12,24}, {3,41}, {3,31}, {9,24}, {10,20}, {5,15}, {14,46}, {7,33}, {6,37}, {11,34}, {7,35}, {13,39}, {9,15}, {2,30}, {13,45}, {7,37}, {13,20}, {2,18}, {9,31}, {7,19}, {4,17}, {6,35}, {4,44}, {7,21}, {14,27}, {8,29}, {4,32}, {11,18}, {12,21}, {14,29}, {14,26}, {7,18}, {5,16} }; // ETB46.12 (= ET46.13) // Bipartite(10,36) Valencies [18,5] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[46][12]:={ {2,44}, {1,11}, {5,17}, {10,25}, {2,33}, {6,16}, {4,27}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {4,16}, {4,30}, {6,17}, {8,43}, {1,13}, {5,38}, {9,45}, {8,28}, {1,32}, {3,13}, {3,25}, {3,15}, {10,23}, {7,44}, {1,40}, {9,44}, {7,22}, {4,31}, {10,33}, {5,20}, {3,37}, {9,43}, {2,26}, {8,39}, {1,21}, {8,25}, {10,44}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {9,35}, {8,44}, {4,23}, {8,27}, {10,15}, {6,22}, {6,29}, {6,21}, {3,34}, {7,12}, {2,25}, {6,40}, {2,34}, {10,38}, {1,18}, {7,11}, {7,20}, {9,32}, {9,26}, {9,27}, {5,11}, {4,41}, {9,19}, {8,14}, {9,41}, {2,39}, {7,32}, {3,12}, {10,41}, {4,45}, {10,28}, {2,35}, {1,22}, {6,43}, {4,33}, {10,29}, {3,20}, {9,34}, {9,42}, {7,30}, {8,17}, {2,16}, {3,39}, {6,33}, {5,18}, {1,23}, {6,24}, {7,17}, {5,24}, {9,37}, {5,46}, {8,13}, {8,22}, {10,42}, {4,15}, {4,13}, {7,14}, {3,27}, {10,46}, {4,28}, {1,33}, {10,45}, {3,29}, {1,43}, {4,46}, {5,28}, {8,26}, {7,31}, {6,15}, {10,43}, {5,12}, {9,40}, {8,32}, {8,21}, {1,42}, {3,19}, {5,31}, {8,23}, {5,36}, {1,25}, {6,19}, {1,46}, {7,29}, {6,14}, {1,37}, {3,16}, {4,37}, {10,35}, {7,23}, {6,36}, {2,21}, {3,30}, {10,17}, {2,29}, {6,45}, {8,38}, {1,26}, {10,36}, {4,14}, {10,18}, {8,24}, {2,40}, {2,31}, {3,42}, {9,39}, {9,38}, {3,38}, {4,11}, {4,20}, {5,13}, {7,27}, {7,45}, {3,41}, {2,12}, {9,24}, {9,46}, {10,20}, {6,39}, {6,37}, {5,19}, {5,21}, {2,30}, {5,35}, {2,18}, {9,31}, {1,34}, {7,19}, {6,35}, {3,36}, {7,40}, {7,42}, {1,36}, {7,18}, {5,16} }; // ETB46.13 (= ET46.14) // Bipartite(10,36) Valencies [18,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8358844170240000000 EdgesBipt[46][13]:={ {2,44}, {1,11}, {2,24}, {1,20}, {5,17}, {9,28}, {6,32}, {4,27}, {2,46}, {7,15}, {4,24}, {8,12}, {3,22}, {3,40}, {4,30}, {8,30}, {8,43}, {1,13}, {5,38}, {9,45}, {8,42}, {8,28}, {4,29}, {1,32}, {3,13}, {3,43}, {3,25}, {10,23}, {9,44}, {1,19}, {10,33}, {3,35}, {5,20}, {3,37}, {2,26}, {7,36}, {8,25}, {2,28}, {2,14}, {5,32}, {4,23}, {8,31}, {2,42}, {10,15}, {10,22}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {3,46}, {6,31}, {1,38}, {2,34}, {1,17}, {2,36}, {8,19}, {9,32}, {9,26}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {7,39}, {4,42}, {1,31}, {10,41}, {4,45}, {7,13}, {9,14}, {7,43}, {7,25}, {10,28}, {6,43}, {4,33}, {5,23}, {4,21}, {10,29}, {9,34}, {10,21}, {2,20}, {10,40}, {1,29}, {7,30}, {2,16}, {4,35}, {8,36}, {6,33}, {2,32}, {5,18}, {1,23}, {5,30}, {6,44}, {5,24}, {8,13}, {8,22}, {5,14}, {9,20}, {4,15}, {3,11}, {10,46}, {10,45}, {3,29}, {1,43}, {8,37}, {5,42}, {9,22}, {7,31}, {6,15}, {5,41}, {4,36}, {5,12}, {9,40}, {3,19}, {6,27}, {5,44}, {6,26}, {8,40}, {3,23}, {5,36}, {1,25}, {6,19}, {6,14}, {10,11}, {10,39}, {1,35}, {1,37}, {3,16}, {10,35}, {8,34}, {10,17}, {6,45}, {10,27}, {1,26}, {2,22}, {10,34}, {8,24}, {6,25}, {6,38}, {2,40}, {9,33}, {5,26}, {8,18}, {4,18}, {9,39}, {9,38}, {4,11}, {4,12}, {3,28}, {7,27}, {7,45}, {8,46}, {1,41}, {3,41}, {7,24}, {3,31}, {2,12}, {1,14}, {9,46}, {6,39}, {7,33}, {6,37}, {6,20}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {4,39}, {7,42}, {7,21}, {7,18}, {10,16} }; // ETB46.14 (= ET46.15) // Bipartite(10,36) Valencies [18,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 261213880320 EdgesBipt[46][14]:={ {2,44}, {1,11}, {5,17}, {10,24}, {9,28}, {2,33}, {6,16}, {6,32}, {7,15}, {5,34}, {3,22}, {4,16}, {8,43}, {5,38}, {9,45}, {7,38}, {4,29}, {3,43}, {7,41}, {1,40}, {2,15}, {2,19}, {1,19}, {2,27}, {3,35}, {2,26}, {1,21}, {8,25}, {10,44}, {2,14}, {1,30}, {9,35}, {8,44}, {4,23}, {8,31}, {9,11}, {10,15}, {10,22}, {3,18}, {2,45}, {6,21}, {3,34}, {2,25}, {3,46}, {6,40}, {6,31}, {5,22}, {4,22}, {8,19}, {9,29}, {1,18}, {3,14}, {5,29}, {4,41}, {2,38}, {2,37}, {8,14}, {7,39}, {9,41}, {2,39}, {1,31}, {3,12}, {10,41}, {7,13}, {7,25}, {10,28}, {6,12}, {6,43}, {10,29}, {2,13}, {9,42}, {2,20}, {10,40}, {7,30}, {4,35}, {9,25}, {7,26}, {1,12}, {6,33}, {2,32}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {7,17}, {8,11}, {5,24}, {9,37}, {5,46}, {8,13}, {1,45}, {8,22}, {8,35}, {5,14}, {1,28}, {4,13}, {3,11}, {7,14}, {10,46}, {4,28}, {1,33}, {10,12}, {1,43}, {3,26}, {4,46}, {8,37}, {8,26}, {5,42}, {6,15}, {5,41}, {9,13}, {5,12}, {9,40}, {8,32}, {1,42}, {3,19}, {1,24}, {6,27}, {3,23}, {8,23}, {10,32}, {5,36}, {6,19}, {7,29}, {6,28}, {9,30}, {10,39}, {1,35}, {5,39}, {4,37}, {4,40}, {6,36}, {2,21}, {3,30}, {8,34}, {9,18}, {10,17}, {3,24}, {6,45}, {8,38}, {10,27}, {4,34}, {1,16}, {10,36}, {10,34}, {9,17}, {2,31}, {9,33}, {5,27}, {5,26}, {3,42}, {4,25}, {3,38}, {4,11}, {4,20}, {8,20}, {7,27}, {7,45}, {8,46}, {3,31}, {10,20}, {6,39}, {5,15}, {7,33}, {6,20}, {7,37}, {2,43}, {4,17}, {9,21}, {9,16}, {3,36}, {7,42}, {9,23}, {4,44}, {7,21}, {4,32}, {1,36}, {7,18}, {10,16} }; // ETB46.15 (= ET46.16) // Bipartite(6,40) Valencies [20,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4161629115065460326400000000 EdgesBipt[46][15]:={ {1,15}, {6,39}, {5,14}, {3,15}, {1,43}, {4,42}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {6,14}, {5,30}, {5,42}, {4,8}, {3,7}, {1,31}, {6,23}, {1,40}, {2,20}, {4,40}, {5,34}, {4,16}, {2,37}, {5,41}, {2,33}, {1,44}, {6,7}, {4,44}, {1,32}, {3,45}, {5,13}, {2,28}, {3,31}, {6,34}, {5,26}, {4,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {4,12}, {5,37}, {3,41}, {6,43}, {3,11}, {5,33}, {4,20}, {6,11}, {2,41}, {4,46}, {1,36}, {3,13}, {2,16}, {6,46}, {2,32}, {1,16}, {2,36}, {2,17}, {4,28}, {2,13}, {1,12}, {3,9}, {3,23}, {5,29}, {3,27}, {4,30}, {6,15}, {6,26}, {1,19}, {2,40}, {4,36}, {2,9}, {1,35}, {2,44}, {4,38}, {2,24}, {6,31}, {5,22}, {6,19}, {5,38}, {3,35}, {1,23}, {5,46}, {2,21}, {1,7}, {5,45}, {6,30}, {1,39}, {6,38}, {2,12}, {4,22}, {5,17}, {3,21}, {4,32}, {6,42}, {3,39}, {2,8}, {1,20}, {1,27}, {4,18}, {5,10}, {3,25}, {2,25}, {1,28}, {3,17}, {3,37}, {6,35}, {5,18}, {3,43}, {4,34}, {6,27}, {3,33}, {1,8}, {5,25}, {4,10}, {4,24}, {1,24}, {2,45} }; // ETB46.16 (= ET46.17) // Bipartite(6,40) Valencies [20,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2063912140800000000 EdgesBipt[46][16]:={ {1,15}, {4,35}, {5,32}, {3,15}, {2,38}, {6,10}, {6,18}, {4,14}, {2,22}, {6,14}, {1,31}, {4,27}, {3,7}, {5,35}, {1,40}, {2,20}, {1,25}, {6,13}, {5,24}, {1,9}, {2,33}, {6,32}, {4,44}, {1,32}, {6,40}, {5,7}, {5,13}, {2,28}, {6,45}, {3,31}, {6,34}, {2,18}, {6,22}, {5,21}, {3,19}, {4,12}, {5,37}, {3,41}, {1,34}, {2,14}, {5,23}, {3,11}, {4,37}, {2,10}, {4,20}, {2,41}, {1,10}, {4,46}, {1,17}, {6,46}, {1,16}, {6,21}, {2,36}, {2,17}, {4,28}, {3,9}, {4,29}, {4,43}, {5,43}, {5,19}, {5,15}, {6,8}, {3,23}, {4,45}, {6,37}, {5,29}, {2,42}, {3,27}, {2,34}, {4,30}, {6,26}, {4,36}, {4,21}, {2,9}, {1,26}, {2,44}, {6,29}, {4,38}, {4,11}, {3,35}, {1,23}, {5,27}, {1,7}, {5,45}, {6,30}, {2,46}, {5,8}, {1,39}, {6,38}, {2,12}, {4,22}, {3,28}, {5,31}, {3,12}, {1,42}, {6,16}, {1,41}, {3,44}, {6,42}, {3,39}, {5,11}, {3,25}, {2,26}, {3,20}, {1,33}, {2,25}, {3,36}, {3,17}, {6,24}, {3,43}, {3,33}, {1,8}, {5,16}, {5,39}, {4,13}, {2,30}, {1,18}, {4,19}, {5,40}, {1,24} }; // ETB46.17 (= ET46.18) // Bipartite(6,40) Valencies [20,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3804202857922560 EdgesBipt[46][17]:={ {4,35}, {5,32}, {6,39}, {2,38}, {4,42}, {6,18}, {1,11}, {3,29}, {6,14}, {5,30}, {5,42}, {6,36}, {4,8}, {4,27}, {3,7}, {1,31}, {2,11}, {5,35}, {1,46}, {1,40}, {2,20}, {3,32}, {1,9}, {2,33}, {6,25}, {5,13}, {2,28}, {3,34}, {6,45}, {6,34}, {2,18}, {6,9}, {5,26}, {3,19}, {1,29}, {4,12}, {2,14}, {5,23}, {5,33}, {4,37}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {1,17}, {3,13}, {6,46}, {1,16}, {4,28}, {3,14}, {2,13}, {3,9}, {3,22}, {5,43}, {5,15}, {6,8}, {3,23}, {4,45}, {4,31}, {3,27}, {2,34}, {6,15}, {6,26}, {1,19}, {2,40}, {4,21}, {4,17}, {4,15}, {4,25}, {1,26}, {2,44}, {6,29}, {4,38}, {2,24}, {4,11}, {3,42}, {5,22}, {6,19}, {2,43}, {5,46}, {2,21}, {1,7}, {5,45}, {1,39}, {6,38}, {5,20}, {4,22}, {5,36}, {3,24}, {3,12}, {6,16}, {1,41}, {3,44}, {4,32}, {3,39}, {2,8}, {1,37}, {1,20}, {1,27}, {4,18}, {5,10}, {5,12}, {3,17}, {3,37}, {6,24}, {6,35}, {3,43}, {6,44}, {4,41}, {3,33}, {1,30}, {5,16}, {2,30}, {1,21}, {5,25}, {5,40}, {6,28} }; // ETB46.18 (= ET46.19) // Bipartite(6,40) Valencies [20,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 754974720 EdgesBipt[46][18]:={ {4,35}, {5,32}, {6,39}, {6,12}, {5,14}, {3,15}, {2,38}, {4,42}, {6,10}, {6,18}, {4,14}, {1,11}, {6,36}, {4,8}, {3,7}, {1,31}, {3,46}, {6,17}, {2,11}, {1,40}, {5,34}, {1,25}, {4,16}, {2,37}, {5,24}, {3,32}, {5,41}, {6,32}, {6,25}, {1,44}, {6,7}, {3,30}, {6,40}, {3,10}, {2,28}, {6,45}, {3,31}, {2,18}, {2,15}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {3,41}, {1,34}, {5,23}, {3,11}, {4,37}, {2,10}, {2,31}, {4,39}, {3,13}, {1,22}, {4,33}, {2,17}, {4,28}, {4,29}, {4,43}, {5,43}, {3,23}, {6,37}, {5,29}, {3,27}, {4,36}, {4,17}, {2,35}, {4,15}, {2,9}, {2,44}, {2,24}, {6,19}, {5,38}, {3,35}, {5,46}, {1,7}, {6,30}, {2,46}, {6,38}, {5,20}, {4,22}, {5,36}, {3,26}, {3,12}, {1,42}, {6,16}, {6,20}, {3,21}, {1,14}, {1,41}, {6,42}, {3,39}, {2,8}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {5,12}, {2,25}, {1,28}, {4,9}, {5,18}, {3,43}, {4,34}, {6,27}, {5,44}, {1,45}, {3,33}, {4,23}, {1,8}, {5,16}, {4,13}, {1,21}, {2,30}, {4,19}, {5,40}, {1,24}, {2,45} }; // ETB46.19 (= ET46.20) // Bipartite(4,42) Valencies [21,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 393363863113826304000000 EdgesBipt[46][19]:={ {2,11}, {2,14}, {4,8}, {4,9}, {2,44}, {4,39}, {2,26}, {3,12}, {1,46}, {2,32}, {2,30}, {1,29}, {2,29}, {4,44}, {4,34}, {2,24}, {1,37}, {1,40}, {1,10}, {1,43}, {4,10}, {3,21}, {3,42}, {3,27}, {4,40}, {3,33}, {2,6}, {2,36}, {3,37}, {1,31}, {4,16}, {3,9}, {3,24}, {2,12}, {4,32}, {4,33}, {1,7}, {1,16}, {3,7}, {2,20}, {3,15}, {4,45}, {4,38}, {2,38}, {2,18}, {3,25}, {4,27}, {4,21}, {4,20}, {3,19}, {3,30}, {2,5}, {3,18}, {3,31}, {1,5}, {4,15}, {4,28}, {1,17}, {4,22}, {3,6}, {3,45}, {3,39}, {2,42}, {1,28}, {2,17}, {3,13}, {2,23}, {1,13}, {2,35}, {1,19}, {2,41}, {4,26}, {1,41}, {1,22}, {2,8}, {4,14}, {1,34}, {1,35}, {1,23}, {4,46}, {1,11}, {1,25}, {3,36}, {3,43} }; // ETB46.20 (= ET46.21) // Bipartite(23,23) Valencies [22,22] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 51704033477769953280000 EdgesBipt[46][20]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {22,25}, {2,30}, {14,25}, {10,27}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {8,24}, {23,45}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {18,35}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {5,33}, {4,39}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {23,39}, {10,43}, {21,25}, {5,29}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {22,46}, {8,34}, {9,29}, {23,46}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {23,26}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {20,31}, {11,45}, {10,28}, {9,44}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,43}, {15,29}, {20,38}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {22,40}, {13,37}, {8,27}, {6,46}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {22,36}, {22,30}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {15,44}, {23,41}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {15,31}, {10,35}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {10,34}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {20,34}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {23,25}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {11,30}, {8,43}, {7,39}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {9,36}, {10,40}, {6,27}, {21,41}, {12,40}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {23,30}, {21,26}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {10,45}, {23,37}, {23,42}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {23,36}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.21 (= ET46.22) // Bipartite(23,23) Valencies [23,23] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 1336653538935178044929642368586691379200000000 EdgesBipt[46][21]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {8,24}, {23,45}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {18,35}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {5,33}, {4,39}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {23,26}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {20,31}, {8,33}, {11,45}, {10,28}, {9,44}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {15,44}, {23,41}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {20,34}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {23,25}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {11,30}, {8,43}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {9,36}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {23,30}, {21,26}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {10,45}, {23,37}, {23,42}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.22 (= ET46.23) // Bipartite(22,24) Valencies [24,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 697384455096614632137204714045230284800000000 EdgesBipt[46][22]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {20,26}, {3,29}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {22,41}, {18,26}, {14,23}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {19,43}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {15,44}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {19,45}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {9,36}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {10,45}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.23 (= ET46.24) // Bipartite(21,25) Valencies [25,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 792482335337062081974096265960488960000000000 EdgesBipt[46][23]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {21,42}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {18,26}, {14,23}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {16,45}, {5,39}, {12,43}, {19,34}, {10,45}, {3,40}, {20,46}, {12,36}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.24 (= ET46.25) // Bipartite(20,26) Valencies [26,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 981168605655410196729833472141557760000000000 EdgesBipt[46][24]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {20,44}, {5,45}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {19,21}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {8,21}, {18,26}, {14,23}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {5,29}, {9,28}, {20,40}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {20,24}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {7,21}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {10,45}, {3,40}, {20,46}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {20,36}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.25 (= ET46.26) // Bipartite(19,27) Valencies [27,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1324577617634803765585275187391102976000000000 EdgesBipt[46][25]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {2,20}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {16,44}, {7,21}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {19,20}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {10,45}, {7,20}, {3,40}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.26 (= ET46.27) // Bipartite(18,28) Valencies [28,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1952009120724973970336195012997414912000000000 EdgesBipt[46][26]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,19}, {13,29}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {7,37}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {3,34}, {18,39}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {16,44}, {7,21}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.27 (= ET46.28) // Bipartite(17,29) Valencies [29,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3144903583390235841097203076495835136000000000 EdgesBipt[46][27]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {17,19}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {17,42}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.28 (= ET46.29) // Bipartite(16,30) Valencies [30,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5549829853041592660759770134992650240000000000 EdgesBipt[46][28]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {4,46}, {10,17}, {3,29}, {9,18}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {16,17}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {10,32}, {16,24}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.29 (= ET46.30) // Bipartite(15,31) Valencies [31,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10752795340268085780222054636548259840000000000 EdgesBipt[46][29]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {4,46}, {10,17}, {3,29}, {9,18}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {15,16}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {6,39}, {2,44}, {2,45}, {1,42}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {12,16}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.30 (= ET46.31) // Bipartite(14,32) Valencies [32,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 22939296725905249664473716557969620992000000000 EdgesBipt[46][30]:={ {13,25}, {3,42}, {13,40}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {12,22}, {14,40}, {10,42}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {13,15}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {6,39}, {2,44}, {2,45}, {1,42}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {14,36}, {7,42}, {6,43}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {12,15}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {7,21}, {12,16}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {10,15}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB46.31 (= ET46.32) // Bipartite(13,33) Valencies [33,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 54071199425348088494830903315214106624000000000 EdgesBipt[46][31]:={ {13,21}, {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {6,14}, {13,40}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,15}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {13,41}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {13,18}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {13,25}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {5,39}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {13,38}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {13,14}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {3,33}, {13,32}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {12,36}, {3,45}, {3,14}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {13,23}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {13,46}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {3,46}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB46.32 (= ET46.33) // Bipartite(12,34) Valencies [34,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 141416983112448846832634670209021509632000000000 EdgesBipt[46][32]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {12,41}, {3,44}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {12,36}, {3,45}, {3,14}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {3,46}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB46.33 (= ET46.34) // Bipartite(11,35) Valencies [35,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 412466200744642469928517788109646069760000000000 EdgesBipt[46][33]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {3,44}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {3,45}, {3,14}, {5,26}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {11,26}, {3,46}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB46.34 (= ET46.35) // Bipartite(10,36) Valencies [36,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1349889384255193537947876397449750773760000000000 EdgesBipt[46][34]:={ {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {4,11}, {3,44}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {3,33}, {2,11}, {1,45}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {4,46}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB46.35 (= ET46.36) // Bipartite(9,37) Valencies [37,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4994590721744216090407142670564077862912000000000 EdgesBipt[46][35]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {9,22}, {4,11}, {3,44}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {3,33}, {2,11}, {1,45}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {4,46}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {8,14}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB46.36 (= ET46.37) // Bipartite(8,38) Valencies [38,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21088271936253356826163491275714995421184000000000 EdgesBipt[46][36]:={ {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,9}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {5,30}, {6,40} }; // ETB46.37 (= ET46.38) // Bipartite(7,39) Valencies [39,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 102805325689235114527547019969110602678272000000000 EdgesBipt[46][37]:={ {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {2,24}, {3,24}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {3,25}, {6,8}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {1,8}, {4,12}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {7,9}, {5,10}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {2,9}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {5,30}, {6,40} }; // ETB46.38 (= ET46.39) // Bipartite(6,40) Valencies [40,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 587459003938486368728840114109203443875840000000000 EdgesBipt[46][38]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {2,45}, {4,38}, {6,21}, {3,34}, {2,25}, {5,40}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {6,12}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {6,46}, {5,24}, {5,7}, {5,46}, {1,45}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {1,46}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {6,25}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,19}, {6,20}, {2,30}, {5,21}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB46.39 (= ET46.40) // Bipartite(5,41) Valencies [41,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4014303193579656852980407446412890199818240000000000 EdgesBipt[46][39]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {5,46}, {1,45}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB46.40 (= ET46.41) // Bipartite(4,42) Valencies [42,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33720146826069117565035422549868277678473216000000000 EdgesBipt[46][40]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {4,27}, {2,46}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {4,41}, {2,10}, {2,38}, {2,37}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,33}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {2,40}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36} }; // ETB46.41 (= ET46.42) // Bipartite(3,43) Valencies [43,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 362491578380243013824130792411083985043587072000000000 EdgesBipt[46][41]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {3,5}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB46.42 (= ET46.43) // Bipartite(2,44) Valencies [44,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5316543149576897536087251622029231780639277056000000000 EdgesBipt[46][42]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,42}, {2,6}, {1,14}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB46.43 (= ET46.45) // Bipartite(1,45) Valencies [45,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 119622220865480194561963161495657715064383733760000000000 EdgesBipt[46][43]:={ {1,26}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 46 is 43 // ******************************************************************************************** // Order 47 // ETB47.1 (= ET47.2) // Bipartite(23,24) Valencies [24,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16039842467222136539155708423040296550400000000 EdgesBipt[47][1]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {20,26}, {3,29}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {23,45}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {18,35}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {23,26}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {15,44}, {23,41}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {20,24}, {23,25}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {11,30}, {8,43}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {9,36}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.2 (= ET47.3) // Bipartite(22,25) Valencies [25,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17434611377415365803430117851130757120000000000 EdgesBipt[47][2]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {22,41}, {18,26}, {14,23}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {15,44}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {9,36}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.3 (= ET47.4) // Bipartite(21,26) Valencies [26,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20604540718763614131326502914972712960000000000 EdgesBipt[47][3]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {21,42}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {18,26}, {14,23}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {16,45}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {12,36}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.4 (= ET47.5) // Bipartite(20,27) Valencies [27,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26491552352696075311705503747822059520000000000 EdgesBipt[47][4]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {20,44}, {5,45}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,40}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {7,21}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {20,47}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.5 (= ET47.6) // Bipartite(19,28) Valencies [28,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37088173293774505436387705246950883328000000000 EdgesBipt[47][5]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {16,44}, {7,21}, {19,45}, {17,41}, {11,30}, {8,43}, {2,23}, {19,20}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.6 (= ET47.7) // Bipartite(18,29) Valencies [29,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56608264501024245139749655376925032448000000000 EdgesBipt[47][6]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,19}, {13,29}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {7,37}, {1,28}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {3,34}, {18,39}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.7 (= ET47.8) // Bipartite(17,30) Valencies [30,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 94347107501707075232916092294875054080000000000 EdgesBipt[47][7]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {17,19}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.8 (= ET47.9) // Bipartite(16,31) Valencies [31,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 172044725444289372483552874184772157440000000000 EdgesBipt[47][8]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {4,46}, {10,17}, {3,29}, {9,18}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {16,23}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {14,36}, {7,42}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.9 (= ET47.10) // Bipartite(15,32) Valencies [32,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 344089450888578744967105748369544314880000000000 EdgesBipt[47][9]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {12,16}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.10 (= ET47.11) // Bipartite(14,33) Valencies [33,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 756996791954873238927632646412997492736000000000 EdgesBipt[47][10]:={ {13,25}, {3,42}, {13,40}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {12,15}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {7,21}, {12,16}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {10,15}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.11 (= ET47.12) // Bipartite(13,34) Valencies [34,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1838420780461835008824250712717279625216000000000 EdgesBipt[47][11]:={ {13,25}, {3,42}, {13,40}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {11,34}, {13,27}, {12,25}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {13,17}, {11,36}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {3,14}, {5,45}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {10,14}, {1,42}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {3,35}, {12,15}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {11,14}, {13,20}, {13,21}, {2,43}, {3,38}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {7,21}, {12,16}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {13,14}, {6,21}, {9,15}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {10,15}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB47.12 (= ET47.13) // Bipartite(12,35) Valencies [35,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4949594408935709639142213457315752837120000000000 EdgesBipt[47][12]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {12,47}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {12,41}, {3,44}, {4,47}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {12,36}, {3,45}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {3,46}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB47.13 (= ET47.14) // Bipartite(11,36) Valencies [36,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14848783226807128917426640371947258511360000000000 EdgesBipt[47][13]:={ {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {3,44}, {4,47}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {3,45}, {3,14}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {5,47}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {11,26}, {3,46}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB47.14 (= ET47.15) // Bipartite(10,37) Valencies [37,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49945907217442160904071426705640778629120000000000 EdgesBipt[47][14]:={ {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,33}, {2,11}, {1,45}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {4,46}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB47.15 (= ET47.16) // Bipartite(9,38) Valencies [38,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 189794447426280211435471421481434958790656000000000 EdgesBipt[47][15]:={ {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,33}, {2,11}, {1,45}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB47.16 (= ET47.17) // Bipartite(8,39) Valencies [39,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 822442605513880916220376159752884821426176000000000 EdgesBipt[47][16]:={ {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,9}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {5,30}, {6,40} }; // ETB47.17 (= ET47.18) // Bipartite(7,40) Valencies [40,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4112213027569404581101880798764424107130880000000000 EdgesBipt[47][17]:={ {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {6,47}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {2,9}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {5,30}, {6,40} }; // ETB47.18 (= ET47.19) // Bipartite(6,41) Valencies [41,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24085819161477941117882444678477341198909440000000000 EdgesBipt[47][18]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {2,45}, {4,38}, {6,21}, {6,47}, {3,34}, {2,25}, {5,40}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {6,12}, {4,47}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {6,46}, {5,24}, {5,7}, {5,46}, {1,45}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {1,46}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,47}, {6,25}, {1,47}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {3,47}, {5,19}, {6,20}, {2,30}, {5,21}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB47.19 (= ET47.20) // Bipartite(5,42) Valencies [42,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 168600734130345587825177112749341388392366080000000000 EdgesBipt[47][19]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {5,7}, {5,46}, {1,45}, {1,9}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {5,8}, {2,47}, {1,47}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB47.20 (= ET47.21) // Bipartite(4,43) Valencies [43,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1449966313520972055296523169644335940174348288000000000 EdgesBipt[47][20]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {4,27}, {2,46}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {4,41}, {2,10}, {2,38}, {2,37}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {2,13}, {2,20}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {2,47}, {1,47}, {2,40}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {3,47}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36} }; // ETB47.21 (= ET47.22) // Bipartite(3,44) Valencies [44,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15949629448730692608261754866087695341917831168000000000 EdgesBipt[47][21]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB47.22 (= ET47.23) // Bipartite(2,45) Valencies [45,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 239244441730960389123926322991315430128767467520000000000 EdgesBipt[47][22]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,42}, {2,6}, {1,14}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB47.23 (= ET47.24) // Bipartite(1,46) Valencies [46,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 5502622159812088949850305428800254892961651752960000000000 EdgesBipt[47][23]:={ {1,26}, {1,47}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 47 is 23 // ******************************************************************************************** // Order 48 // ETB48.1 // Bipartite(24,24) Valencies [2,2] // Diameter 24 Girth 48 // Twin-free VT AT // Automorphism group of order 96 EdgesBipt[48][1]:={ {3,32}, {18,35}, {15,43}, {24,28}, {5,32}, {24,29}, {2,30}, {13,41}, {7,34}, {6,46}, {9,38}, {18,33}, {12,40}, {11,38}, {21,47}, {7,36}, {8,46}, {8,44}, {22,29}, {13,39}, {9,36}, {3,30}, {6,48}, {10,44}, {20,31}, {14,40}, {4,48}, {16,35}, {22,31}, {1,27}, {2,27}, {19,45}, {4,25}, {10,42}, {15,41}, {21,26}, {12,42}, {5,34}, {17,43}, {14,37}, {11,39}, {23,26}, {16,37}, {17,45}, {20,33}, {23,28}, {19,47}, {1,25} }; // ETB48.2 // Bipartite(24,24) Valencies [3,3] // Diameter 6 Girth 8 // Twin-free VT AT // Automorphism group of order 288 EdgesBipt[48][2]:={ {12,38}, {5,33}, {8,28}, {3,40}, {4,39}, {5,32}, {9,45}, {16,47}, {2,37}, {24,27}, {5,29}, {4,44}, {13,34}, {9,31}, {24,48}, {6,26}, {1,39}, {10,48}, {2,40}, {15,44}, {8,25}, {18,34}, {23,46}, {11,38}, {20,47}, {10,45}, {11,33}, {17,42}, {7,36}, {21,27}, {23,32}, {24,38}, {7,40}, {12,39}, {15,46}, {22,26}, {22,47}, {9,36}, {22,46}, {3,30}, {6,27}, {14,32}, {13,35}, {23,35}, {11,36}, {21,41}, {14,42}, {15,41}, {21,31}, {12,42}, {18,48}, {16,28}, {19,30}, {17,43}, {18,44}, {19,31}, {2,41}, {16,37}, {17,45}, {10,25}, {13,37}, {1,35}, {14,28}, {8,30}, {20,33}, {20,43}, {6,29}, {1,25}, {3,43}, {19,34}, {7,26}, {4,29} }; // ETB48.3 // Bipartite(16,32) Valencies [4,2] // Diameter 8 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 4096 EdgesBipt[48][3]:={ {3,32}, {3,40}, {2,44}, {14,19}, {5,37}, {2,29}, {11,25}, {7,23}, {16,41}, {1,39}, {15,44}, {4,43}, {2,36}, {6,43}, {1,31}, {10,45}, {8,47}, {11,33}, {9,32}, {13,18}, {11,21}, {8,27}, {15,45}, {5,21}, {8,48}, {15,19}, {16,18}, {12,36}, {15,30}, {9,27}, {9,33}, {4,20}, {6,48}, {12,24}, {14,40}, {5,30}, {9,41}, {3,26}, {16,35}, {7,38}, {13,22}, {1,17}, {3,34}, {14,38}, {10,42}, {12,22}, {6,35}, {5,26}, {2,23}, {10,28}, {13,47}, {16,39}, {13,46}, {12,28}, {7,42}, {1,34}, {4,46}, {7,37}, {10,20}, {11,31}, {14,25}, {8,17}, {6,24}, {4,29} }; // ETB48.4 // Bipartite(16,32) Valencies [4,2] // Diameter 8 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[48][4]:={ {5,33}, {4,24}, {2,46}, {9,45}, {12,48}, {4,41}, {14,18}, {1,32}, {15,47}, {5,27}, {2,43}, {1,36}, {11,20}, {6,30}, {3,23}, {3,37}, {12,31}, {16,45}, {8,29}, {8,47}, {15,48}, {9,32}, {11,42}, {5,21}, {1,38}, {8,43}, {16,40}, {10,26}, {10,34}, {11,46}, {13,36}, {2,18}, {9,33}, {4,20}, {6,42}, {3,31}, {14,40}, {3,26}, {9,41}, {15,25}, {7,38}, {13,22}, {5,39}, {16,19}, {1,17}, {14,23}, {14,27}, {7,28}, {13,24}, {16,28}, {6,35}, {2,34}, {10,25}, {13,30}, {11,19}, {7,37}, {12,17}, {6,44}, {7,44}, {10,35}, {8,39}, {12,21}, {15,22}, {4,29} }; // ETB48.5 // Bipartite(16,32) Valencies [4,2] // Diameter 16 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2097152 EdgesBipt[48][5]:={ {8,28}, {1,47}, {6,37}, {3,40}, {9,19}, {2,46}, {12,48}, {2,47}, {15,36}, {2,30}, {14,18}, {16,34}, {9,21}, {1,33}, {15,20}, {12,45}, {12,32}, {15,38}, {4,43}, {14,34}, {11,23}, {1,31}, {3,24}, {6,40}, {8,29}, {5,44}, {10,33}, {9,37}, {11,42}, {4,30}, {8,44}, {16,36}, {7,27}, {5,25}, {7,43}, {2,31}, {16,18}, {5,28}, {3,25}, {4,27}, {13,39}, {14,32}, {6,21}, {12,29}, {9,35}, {13,22}, {13,38}, {13,23}, {1,17}, {16,20}, {10,19}, {10,17}, {3,41}, {14,48}, {11,39}, {5,41}, {11,26}, {7,42}, {4,46}, {8,45}, {10,35}, {6,24}, {15,22}, {7,26} }; // ETB48.6 // Bipartite(24,24) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 98304 EdgesBipt[48][6]:={ {7,39}, {24,33}, {8,39}, {8,31}, {1,43}, {21,39}, {18,44}, {14,34}, {3,29}, {19,44}, {3,38}, {4,27}, {10,43}, {11,29}, {11,42}, {1,25}, {12,40}, {22,30}, {15,44}, {12,31}, {22,38}, {13,48}, {17,35}, {6,40}, {9,37}, {8,42}, {22,28}, {8,34}, {13,38}, {14,46}, {23,30}, {5,37}, {20,25}, {24,40}, {7,28}, {22,47}, {20,35}, {17,48}, {7,41}, {19,26}, {4,39}, {1,36}, {13,26}, {12,34}, {2,36}, {7,29}, {23,48}, {10,31}, {16,35}, {16,26}, {14,43}, {5,29}, {11,28}, {15,45}, {3,27}, {4,30}, {18,34}, {21,33}, {10,33}, {15,33}, {3,47}, {2,44}, {20,37}, {14,32}, {18,32}, {15,31}, {5,27}, {6,30}, {2,46}, {16,45}, {11,40}, {23,37}, {20,47}, {24,32}, {5,48}, {9,26}, {21,32}, {6,42}, {9,47}, {24,41}, {13,36}, {17,38}, {18,45}, {16,43}, {12,41}, {2,25}, {21,42}, {23,28}, {9,36}, {6,27}, {19,35}, {10,46}, {4,41}, {1,45}, {19,46}, {17,25} }; // ETB48.7 // Bipartite(24,24) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 192 EdgesBipt[48][7]:={ {24,39}, {21,48}, {9,40}, {22,32}, {18,44}, {3,29}, {11,33}, {23,33}, {5,35}, {1,46}, {1,40}, {23,27}, {11,42}, {1,25}, {22,38}, {18,37}, {5,41}, {8,46}, {13,27}, {4,44}, {17,42}, {20,43}, {17,43}, {8,34}, {2,28}, {16,33}, {22,25}, {6,43}, {17,30}, {24,37}, {4,37}, {20,38}, {9,27}, {7,41}, {8,28}, {16,47}, {13,26}, {21,41}, {12,34}, {23,48}, {10,39}, {10,31}, {10,37}, {15,35}, {13,45}, {14,38}, {5,29}, {4,31}, {4,30}, {14,26}, {12,28}, {7,30}, {15,33}, {23,46}, {17,36}, {6,31}, {3,42}, {18,32}, {3,35}, {16,27}, {6,30}, {14,31}, {6,38}, {16,45}, {2,39}, {7,44}, {20,32}, {19,36}, {19,42}, {24,32}, {9,26}, {18,29}, {21,36}, {9,46}, {19,34}, {24,25}, {15,41}, {20,29}, {12,47}, {8,48}, {14,40}, {19,47}, {2,25}, {21,34}, {1,28}, {11,47}, {10,26}, {3,43}, {22,40}, {5,44}, {7,36}, {11,35}, {12,45}, {15,48}, {2,45}, {13,39} }; // ETB48.8 // Bipartite(24,24) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 768 EdgesBipt[48][8]:={ {16,25}, {7,42}, {11,44}, {16,36}, {12,26}, {20,28}, {7,40}, {23,38}, {10,27}, {19,39}, {9,45}, {11,29}, {5,34}, {1,25}, {12,40}, {24,29}, {3,32}, {9,39}, {11,38}, {10,44}, {24,43}, {8,42}, {16,48}, {24,45}, {22,41}, {14,46}, {23,30}, {2,29}, {11,45}, {3,48}, {19,37}, {17,31}, {15,39}, {24,37}, {10,36}, {8,28}, {1,36}, {18,33}, {22,46}, {13,26}, {15,25}, {14,30}, {10,41}, {4,28}, {4,43}, {8,35}, {14,43}, {13,35}, {16,29}, {13,47}, {21,33}, {4,36}, {2,35}, {18,48}, {13,30}, {18,27}, {23,46}, {9,33}, {21,45}, {15,31}, {2,48}, {5,27}, {8,43}, {14,37}, {22,39}, {5,47}, {3,28}, {20,47}, {20,32}, {5,31}, {22,34}, {6,42}, {23,44}, {2,26}, {7,46}, {20,34}, {15,38}, {17,38}, {21,40}, {12,32}, {18,31}, {21,42}, {9,41}, {17,26}, {6,35}, {19,32}, {6,44}, {6,27}, {1,47}, {19,25}, {4,41}, {7,34}, {3,33}, {17,40}, {1,30}, {12,37} }; // ETB48.9 // Bipartite(24,24) Valencies [4,4] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 192 EdgesBipt[48][9]:={ {14,39}, {24,39}, {16,34}, {5,32}, {21,43}, {9,40}, {2,38}, {19,44}, {9,42}, {6,36}, {23,25}, {4,48}, {6,41}, {10,43}, {10,38}, {11,29}, {23,27}, {4,40}, {1,25}, {22,30}, {7,33}, {13,34}, {10,40}, {17,35}, {12,33}, {22,44}, {14,42}, {17,42}, {16,48}, {19,38}, {15,29}, {9,31}, {16,41}, {13,46}, {5,26}, {17,45}, {22,47}, {13,44}, {8,28}, {19,26}, {6,46}, {18,38}, {2,32}, {4,33}, {10,41}, {16,35}, {11,46}, {18,34}, {21,33}, {14,44}, {5,28}, {4,25}, {11,26}, {22,27}, {21,45}, {15,31}, {2,48}, {6,30}, {1,39}, {8,43}, {14,37}, {11,40}, {9,28}, {20,47}, {5,36}, {23,31}, {15,37}, {12,36}, {24,32}, {13,28}, {20,26}, {12,42}, {7,32}, {17,29}, {3,25}, {12,47}, {24,41}, {8,48}, {7,46}, {20,34}, {7,37}, {18,45}, {24,27}, {15,47}, {18,31}, {3,36}, {20,39}, {3,37}, {3,43}, {19,35}, {1,45}, {23,35}, {1,30}, {2,30}, {8,29}, {21,27} }; // ETB48.10 // Bipartite(24,24) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 384 EdgesBipt[48][10]:={ {13,41}, {21,48}, {18,41}, {6,48}, {8,39}, {17,47}, {12,26}, {23,47}, {15,43}, {18,44}, {14,34}, {11,33}, {18,39}, {4,48}, {19,39}, {5,35}, {1,40}, {1,25}, {12,31}, {3,32}, {19,27}, {16,40}, {19,31}, {3,30}, {6,40}, {20,43}, {22,28}, {24,45}, {20,42}, {16,41}, {22,33}, {6,34}, {17,44}, {14,46}, {24,34}, {20,40}, {11,45}, {1,29}, {9,27}, {10,36}, {8,33}, {7,26}, {22,46}, {18,38}, {21,41}, {8,47}, {4,29}, {5,43}, {13,35}, {13,45}, {14,38}, {4,31}, {21,33}, {6,26}, {12,28}, {3,47}, {12,35}, {13,30}, {9,25}, {10,29}, {11,37}, {20,37}, {23,42}, {4,38}, {14,32}, {5,38}, {24,44}, {2,46}, {2,39}, {7,44}, {11,31}, {19,42}, {21,36}, {22,43}, {10,42}, {15,27}, {16,28}, {8,25}, {17,29}, {2,26}, {7,37}, {24,27}, {3,37}, {9,32}, {17,28}, {9,36}, {23,34}, {10,46}, {1,45}, {23,35}, {15,30}, {16,32}, {7,36}, {2,30}, {5,25}, {15,48} }; // ETB48.11 // Bipartite(24,24) Valencies [4,4] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 384 EdgesBipt[48][11]:={ {16,25}, {20,27}, {5,32}, {9,40}, {11,44}, {12,39}, {21,39}, {5,42}, {9,42}, {6,36}, {7,40}, {4,27}, {23,25}, {24,48}, {10,48}, {22,30}, {22,38}, {24,29}, {2,33}, {7,31}, {23,40}, {21,26}, {8,46}, {7,27}, {4,44}, {19,38}, {3,45}, {6,45}, {3,34}, {8,41}, {23,30}, {14,27}, {17,45}, {1,34}, {9,38}, {24,37}, {15,34}, {10,34}, {22,47}, {20,35}, {13,33}, {7,41}, {4,46}, {19,26}, {1,36}, {13,26}, {10,25}, {4,33}, {10,39}, {16,35}, {15,46}, {18,25}, {8,35}, {14,43}, {11,28}, {2,42}, {13,47}, {2,35}, {17,33}, {5,28}, {13,40}, {19,43}, {23,46}, {9,44}, {21,45}, {15,31}, {12,43}, {2,48}, {21,29}, {6,30}, {18,28}, {3,28}, {20,32}, {19,36}, {15,37}, {24,32}, {11,48}, {14,47}, {11,30}, {20,26}, {1,41}, {6,42}, {16,44}, {17,38}, {12,41}, {14,29}, {18,31}, {18,36}, {17,32}, {16,37}, {3,43}, {1,47}, {22,31}, {12,37}, {5,39}, {8,29} }; // ETB48.12 // Bipartite(24,24) Valencies [4,4] // Diameter 8 Girth 4 // Twin-free VT AT // Automorphism group of order 192 EdgesBipt[48][12]:={ {20,27}, {7,48}, {9,40}, {19,45}, {6,48}, {11,44}, {23,47}, {9,30}, {24,26}, {11,33}, {1,31}, {10,27}, {21,47}, {4,48}, {8,36}, {6,41}, {9,45}, {10,38}, {10,43}, {7,38}, {1,25}, {18,42}, {19,40}, {5,41}, {7,31}, {6,25}, {23,40}, {21,26}, {22,35}, {24,43}, {3,45}, {13,38}, {13,46}, {24,34}, {8,41}, {15,32}, {19,37}, {12,30}, {5,33}, {20,35}, {2,41}, {8,33}, {4,46}, {8,28}, {4,39}, {14,30}, {2,36}, {7,29}, {16,35}, {4,29}, {16,29}, {11,28}, {18,34}, {12,28}, {14,44}, {2,44}, {18,27}, {23,42}, {18,35}, {6,31}, {14,36}, {1,39}, {14,37}, {3,28}, {15,37}, {11,25}, {12,36}, {5,48}, {21,32}, {3,44}, {22,43}, {17,34}, {22,42}, {9,47}, {22,26}, {20,29}, {16,43}, {24,27}, {15,47}, {1,33}, {2,25}, {21,42}, {17,26}, {3,37}, {17,32}, {16,38}, {13,31}, {19,32}, {23,34}, {20,46}, {10,46}, {15,30}, {17,40}, {5,39}, {12,45}, {13,39} }; // ETB48.13 // Bipartite(24,24) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 192 EdgesBipt[48][13]:={ {18,35}, {5,33}, {5,42}, {19,41}, {9,45}, {2,26}, {3,46}, {19,26}, {17,39}, {11,25}, {15,47}, {1,40}, {21,38}, {18,42}, {2,43}, {6,31}, {4,40}, {3,27}, {12,45}, {9,38}, {11,27}, {18,33}, {10,30}, {15,38}, {11,44}, {23,46}, {2,36}, {3,37}, {1,31}, {22,28}, {8,27}, {13,32}, {16,36}, {24,44}, {18,28}, {3,44}, {16,43}, {24,35}, {7,32}, {16,30}, {5,47}, {15,31}, {4,45}, {22,26}, {20,48}, {24,42}, {7,48}, {23,27}, {10,47}, {8,36}, {13,39}, {15,30}, {23,36}, {14,35}, {9,43}, {19,48}, {10,46}, {6,42}, {4,48}, {21,45}, {12,29}, {20,41}, {8,34}, {8,41}, {20,34}, {5,39}, {16,38}, {10,39}, {11,34}, {19,32}, {21,31}, {22,33}, {12,35}, {6,25}, {17,32}, {14,37}, {22,43}, {17,33}, {23,30}, {13,46}, {14,29}, {14,44}, {2,41}, {12,28}, {21,40}, {6,47}, {1,34}, {9,28}, {13,37}, {20,40}, {7,37}, {17,26}, {1,25}, {24,25}, {4,29}, {7,29} }; // ETB48.14 // Bipartite(24,24) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 192 EdgesBipt[48][14]:={ {20,27}, {7,48}, {9,40}, {21,43}, {9,30}, {17,27}, {1,31}, {16,30}, {23,38}, {18,39}, {4,48}, {6,41}, {5,34}, {7,38}, {1,25}, {23,39}, {12,31}, {18,42}, {22,28}, {20,42}, {15,29}, {13,38}, {3,34}, {4,26}, {14,27}, {8,44}, {24,40}, {17,45}, {11,34}, {15,39}, {24,37}, {20,33}, {13,44}, {23,32}, {23,45}, {8,33}, {18,33}, {22,46}, {2,36}, {10,39}, {16,35}, {14,45}, {13,35}, {8,26}, {14,38}, {15,45}, {24,31}, {2,42}, {6,26}, {10,33}, {7,30}, {14,44}, {12,29}, {13,30}, {17,36}, {9,48}, {11,41}, {2,43}, {22,37}, {21,29}, {8,27}, {11,40}, {3,28}, {5,31}, {11,48}, {1,42}, {21,36}, {9,46}, {16,46}, {19,34}, {4,32}, {21,37}, {22,43}, {16,28}, {7,32}, {17,29}, {3,25}, {12,47}, {10,32}, {19,41}, {18,47}, {15,47}, {24,46}, {2,25}, {6,35}, {20,36}, {10,26}, {3,43}, {6,44}, {1,47}, {19,35}, {4,41}, {19,28}, {12,37}, {5,25}, {5,40} }; // ETB48.15 // Bipartite(24,24) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[48][15]:={ {17,41}, {7,47}, {5,42}, {15,43}, {19,41}, {2,46}, {5,32}, {17,34}, {1,44}, {19,29}, {10,43}, {4,41}, {5,29}, {16,34}, {18,26}, {13,34}, {21,33}, {14,26}, {9,31}, {8,38}, {20,35}, {24,30}, {10,48}, {23,38}, {6,31}, {1,45}, {3,33}, {11,27}, {12,30}, {15,27}, {4,31}, {12,40}, {11,38}, {9,37}, {2,33}, {8,47}, {24,47}, {4,30}, {23,48}, {8,44}, {18,28}, {8,40}, {16,40}, {5,47}, {21,29}, {15,46}, {13,42}, {24,42}, {20,45}, {11,35}, {13,36}, {23,40}, {23,43}, {3,25}, {11,32}, {9,36}, {14,43}, {6,38}, {12,34}, {3,30}, {22,37}, {17,36}, {19,48}, {14,46}, {4,48}, {15,25}, {20,41}, {1,27}, {10,39}, {10,37}, {12,25}, {3,39}, {2,42}, {18,45}, {19,32}, {21,26}, {22,36}, {6,35}, {7,39}, {22,27}, {2,35}, {18,44}, {13,46}, {24,31}, {21,39}, {6,28}, {17,45}, {9,28}, {14,28}, {20,33}, {7,37}, {1,25}, {16,29}, {7,44}, {16,26}, {22,32} }; // ETB48.16 // Bipartite(24,24) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[48][16]:={ {20,27}, {7,42}, {24,33}, {14,25}, {1,43}, {21,39}, {18,44}, {17,27}, {5,42}, {11,33}, {7,40}, {23,25}, {1,25}, {18,42}, {6,25}, {9,39}, {15,40}, {8,46}, {3,30}, {16,48}, {17,43}, {22,36}, {15,29}, {16,41}, {10,45}, {10,47}, {20,40}, {15,28}, {8,44}, {24,40}, {17,45}, {14,33}, {24,42}, {4,37}, {20,38}, {23,32}, {4,39}, {22,46}, {6,46}, {18,38}, {2,32}, {21,41}, {9,34}, {4,28}, {4,29}, {5,43}, {8,26}, {13,45}, {13,47}, {3,27}, {2,34}, {21,33}, {18,48}, {22,48}, {11,26}, {23,29}, {7,35}, {5,38}, {12,43}, {8,27}, {9,35}, {14,31}, {5,47}, {11,31}, {20,30}, {11,30}, {21,36}, {16,44}, {3,39}, {12,47}, {2,26}, {13,36}, {10,32}, {15,38}, {12,41}, {14,29}, {1,28}, {9,41}, {17,26}, {3,37}, {16,37}, {13,31}, {6,44}, {19,32}, {23,34}, {10,35}, {19,35}, {22,31}, {7,34}, {1,45}, {12,37}, {2,30}, {19,46}, {19,48}, {24,36}, {6,28} }; // ETB48.17 // Bipartite(24,24) Valencies [4,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[48][17]:={ {7,42}, {7,39}, {17,47}, {12,26}, {1,43}, {5,42}, {9,42}, {24,48}, {1,46}, {1,25}, {2,33}, {12,33}, {9,39}, {23,40}, {22,44}, {3,30}, {13,42}, {14,35}, {19,38}, {24,45}, {15,29}, {17,44}, {14,46}, {10,47}, {20,40}, {5,37}, {8,44}, {22,25}, {11,34}, {6,43}, {15,34}, {20,33}, {13,44}, {20,35}, {10,36}, {8,28}, {4,39}, {6,46}, {2,32}, {3,40}, {23,41}, {4,28}, {5,43}, {8,26}, {16,29}, {13,47}, {4,30}, {6,26}, {18,48}, {12,29}, {19,43}, {22,27}, {18,35}, {15,26}, {4,38}, {9,33}, {15,31}, {16,27}, {21,29}, {9,35}, {14,31}, {3,28}, {11,31}, {22,45}, {11,25}, {24,32}, {14,47}, {5,48}, {11,30}, {21,37}, {1,27}, {17,41}, {10,32}, {8,45}, {17,38}, {18,45}, {19,41}, {21,40}, {12,32}, {2,25}, {18,31}, {3,37}, {16,38}, {23,34}, {10,46}, {7,34}, {13,37}, {7,36}, {16,39}, {2,30}, {23,36}, {19,48}, {20,41}, {24,36}, {21,27}, {6,28} }; // ETB48.18 // Bipartite(24,24) Valencies [4,4] // Diameter 12 Girth 4 // Has twins VT AT // Automorphism group of order 805306368 EdgesBipt[48][18]:={ {7,43}, {13,25}, {16,36}, {14,25}, {17,39}, {23,47}, {9,30}, {19,44}, {17,27}, {9,42}, {4,27}, {4,48}, {1,46}, {1,25}, {2,37}, {13,34}, {10,40}, {2,33}, {7,31}, {19,31}, {23,40}, {8,42}, {22,28}, {16,48}, {3,45}, {20,42}, {22,41}, {13,46}, {24,34}, {5,26}, {3,48}, {8,44}, {6,43}, {1,34}, {14,33}, {12,46}, {4,39}, {18,38}, {21,41}, {12,34}, {10,41}, {15,36}, {22,29}, {14,45}, {11,28}, {15,45}, {6,26}, {4,36}, {15,33}, {12,35}, {10,29}, {19,43}, {6,31}, {21,30}, {5,38}, {16,27}, {21,29}, {5,27}, {10,28}, {6,38}, {14,37}, {7,44}, {8,32}, {11,40}, {20,44}, {20,32}, {24,35}, {20,30}, {18,43}, {1,37}, {9,29}, {12,47}, {7,32}, {24,47}, {17,38}, {24,46}, {2,25}, {21,42}, {3,36}, {23,28}, {18,31}, {9,41}, {17,26}, {11,47}, {8,30}, {19,32}, {22,40}, {3,33}, {13,37}, {23,35}, {11,35}, {16,39}, {5,39}, {18,26}, {15,48}, {2,45} }; // ETB48.19 // Bipartite(24,24) Valencies [4,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 196608 EdgesBipt[48][19]:={ {16,25}, {13,41}, {13,25}, {21,43}, {8,39}, {22,32}, {21,31}, {23,47}, {3,38}, {21,47}, {4,48}, {11,42}, {1,25}, {12,40}, {15,44}, {24,29}, {1,38}, {19,27}, {2,33}, {6,32}, {7,27}, {22,44}, {10,44}, {8,42}, {22,28}, {22,36}, {16,48}, {3,45}, {20,42}, {13,38}, {6,45}, {9,31}, {6,34}, {24,34}, {21,28}, {5,37}, {24,40}, {14,33}, {17,31}, {5,33}, {17,48}, {10,36}, {19,30}, {9,43}, {4,39}, {12,34}, {4,29}, {14,43}, {13,35}, {11,46}, {16,29}, {15,45}, {3,27}, {18,34}, {14,26}, {6,26}, {2,40}, {7,30}, {17,33}, {12,29}, {4,25}, {1,35}, {20,37}, {7,35}, {23,42}, {23,46}, {11,36}, {18,32}, {2,43}, {10,28}, {9,28}, {17,37}, {5,31}, {20,30}, {5,48}, {1,41}, {3,44}, {15,27}, {9,47}, {24,41}, {2,26}, {7,46}, {10,32}, {15,38}, {18,45}, {12,41}, {14,40}, {8,37}, {20,39}, {11,47}, {8,30}, {19,35}, {16,39}, {23,36}, {19,46}, {18,26} }; // ETB48.20 // Bipartite(24,24) Valencies [4,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3145728 EdgesBipt[48][20]:={ {11,43}, {16,34}, {7,48}, {13,25}, {19,45}, {7,39}, {24,33}, {18,44}, {17,27}, {5,30}, {6,36}, {11,33}, {1,31}, {23,33}, {19,39}, {5,35}, {1,25}, {15,44}, {24,29}, {3,32}, {17,35}, {12,33}, {7,45}, {8,46}, {9,37}, {12,27}, {16,41}, {10,45}, {15,32}, {20,25}, {3,41}, {9,38}, {17,30}, {20,35}, {21,38}, {4,39}, {13,26}, {18,38}, {8,47}, {9,34}, {4,28}, {7,47}, {10,31}, {10,37}, {8,35}, {14,43}, {11,46}, {14,26}, {2,40}, {12,29}, {1,26}, {23,46}, {3,42}, {11,36}, {2,43}, {22,37}, {21,29}, {15,42}, {2,48}, {5,27}, {6,30}, {6,38}, {20,47}, {22,45}, {24,32}, {13,28}, {3,44}, {21,37}, {22,42}, {10,42}, {18,30}, {15,41}, {16,28}, {8,25}, {9,29}, {2,26}, {24,27}, {12,32}, {19,47}, {14,40}, {21,34}, {1,28}, {18,36}, {13,31}, {6,44}, {4,34}, {20,46}, {14,48}, {23,43}, {4,41}, {22,31}, {17,40}, {16,39}, {23,36}, {5,40}, {19,48} }; // ETB48.21 // Bipartite(24,24) Valencies [5,5] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 960 EdgesBipt[48][21]:={ {4,35}, {13,25}, {7,48}, {6,39}, {6,48}, {8,31}, {17,39}, {9,30}, {23,47}, {14,34}, {19,44}, {9,42}, {18,39}, {21,47}, {1,46}, {23,27}, {1,25}, {23,39}, {2,47}, {22,38}, {3,32}, {13,34}, {10,40}, {5,41}, {12,33}, {19,31}, {8,46}, {7,45}, {24,43}, {21,44}, {8,42}, {20,43}, {19,38}, {2,28}, {22,33}, {10,45}, {14,46}, {15,32}, {20,40}, {10,30}, {14,27}, {3,48}, {17,45}, {12,30}, {11,34}, {6,43}, {22,25}, {5,33}, {12,46}, {24,37}, {20,33}, {13,44}, {19,26}, {1,36}, {10,25}, {3,40}, {7,29}, {22,29}, {10,31}, {16,35}, {4,29}, {16,26}, {4,43}, {13,35}, {14,38}, {4,31}, {15,45}, {2,42}, {2,34}, {17,33}, {12,35}, {11,37}, {11,26}, {11,41}, {9,44}, {18,32}, {2,43}, {3,35}, {16,27}, {21,29}, {5,27}, {6,30}, {18,46}, {16,45}, {6,38}, {3,28}, {17,37}, {23,31}, {24,32}, {5,48}, {18,29}, {11,30}, {1,41}, {20,26}, {21,37}, {24,25}, {22,42}, {15,41}, {12,47}, {8,48}, {15,38}, {24,27}, {16,42}, {15,47}, {21,40}, {14,40}, {1,28}, {8,37}, {9,32}, {17,28}, {20,36}, {9,36}, {4,41}, {5,44}, {7,34}, {7,36}, {19,28}, {23,36}, {18,26}, {13,39} }; // ETB48.22 // Bipartite(12,36) Valencies [6,2] // Diameter 4 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1036800 EdgesBipt[48][22]:={ {5,33}, {6,41}, {12,20}, {10,15}, {4,23}, {5,32}, {1,14}, {10,27}, {3,46}, {5,24}, {12,18}, {6,33}, {9,21}, {7,31}, {8,16}, {2,39}, {11,20}, {11,27}, {10,36}, {11,37}, {11,38}, {2,45}, {3,48}, {7,30}, {7,45}, {4,30}, {8,46}, {8,32}, {5,23}, {8,43}, {9,29}, {8,37}, {8,40}, {7,43}, {1,15}, {10,31}, {1,16}, {9,40}, {3,47}, {3,25}, {6,38}, {9,42}, {2,48}, {12,13}, {9,41}, {7,22}, {10,29}, {10,24}, {4,28}, {1,17}, {12,25}, {2,42}, {2,19}, {12,22}, {5,18}, {6,17}, {5,34}, {1,13}, {11,39}, {2,34}, {1,19}, {11,26}, {4,26}, {6,47}, {4,14}, {4,35}, {9,28}, {6,44}, {7,44}, {3,36}, {12,21}, {3,35} }; // ETB48.23 // Bipartite(12,36) Valencies [6,2] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[48][23]:={ {12,27}, {3,40}, {8,28}, {1,14}, {2,37}, {12,48}, {4,47}, {5,29}, {11,25}, {6,45}, {1,33}, {8,23}, {11,24}, {12,16}, {2,43}, {10,48}, {6,46}, {6,31}, {8,15}, {3,33}, {10,30}, {3,38}, {2,36}, {3,20}, {9,32}, {7,45}, {8,46}, {5,16}, {5,21}, {5,20}, {3,44}, {7,32}, {8,40}, {10,23}, {12,39}, {4,38}, {2,18}, {10,41}, {11,22}, {7,15}, {5,17}, {9,43}, {8,13}, {12,37}, {10,44}, {6,42}, {12,24}, {4,17}, {5,30}, {1,18}, {9,41}, {9,34}, {7,21}, {1,27}, {7,19}, {4,25}, {11,34}, {2,19}, {1,42}, {7,39}, {1,13}, {2,35}, {10,22}, {9,26}, {4,26}, {6,47}, {4,35}, {9,28}, {11,14}, {11,31}, {6,29}, {3,36} }; // ETB48.24 // Bipartite(12,36) Valencies [6,2] // Diameter 12 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 52242776064 EdgesBipt[48][24]:={ {1,26}, {5,33}, {12,27}, {8,19}, {3,40}, {4,23}, {1,14}, {8,20}, {4,47}, {8,31}, {6,33}, {2,30}, {2,29}, {4,34}, {6,45}, {7,31}, {1,37}, {11,47}, {11,24}, {12,16}, {10,48}, {9,38}, {9,15}, {10,36}, {11,23}, {12,40}, {5,46}, {11,48}, {3,29}, {6,32}, {7,30}, {8,32}, {5,21}, {8,44}, {1,38}, {8,43}, {10,13}, {7,43}, {3,16}, {3,28}, {12,39}, {7,18}, {6,20}, {3,17}, {11,35}, {2,18}, {9,27}, {5,45}, {6,21}, {10,24}, {11,36}, {7,19}, {10,37}, {4,22}, {2,42}, {2,17}, {3,41}, {9,14}, {5,34}, {1,13}, {9,26}, {2,41}, {12,28}, {7,42}, {4,35}, {10,25}, {9,39}, {12,15}, {4,46}, {6,44}, {1,25}, {5,22} }; // ETB48.25 // Bipartite(16,32) Valencies [6,3] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[48][25]:={ {7,43}, {4,35}, {5,32}, {9,40}, {14,25}, {11,17}, {8,39}, {12,39}, {14,34}, {5,42}, {3,38}, {4,27}, {16,30}, {10,27}, {10,43}, {1,40}, {14,19}, {10,48}, {2,47}, {16,18}, {7,45}, {13,27}, {1,44}, {11,22}, {9,37}, {16,20}, {3,45}, {3,31}, {6,34}, {13,46}, {10,47}, {15,32}, {3,19}, {11,45}, {5,37}, {1,29}, {3,41}, {12,21}, {14,33}, {9,38}, {5,23}, {13,44}, {15,22}, {6,47}, {2,23}, {7,41}, {1,17}, {16,17}, {2,36}, {8,21}, {8,18}, {15,36}, {4,43}, {14,28}, {13,35}, {5,29}, {2,42}, {2,34}, {6,26}, {4,21}, {9,25}, {1,26}, {11,26}, {8,19}, {13,40}, {7,35}, {12,24}, {12,23}, {9,33}, {15,31}, {2,48}, {15,42}, {6,30}, {10,28}, {8,38}, {11,31}, {12,36}, {6,20}, {7,22}, {4,18}, {15,41}, {8,25}, {9,29}, {7,46}, {11,20}, {12,32}, {10,46}, {14,48}, {5,44}, {3,33}, {13,37}, {1,30}, {16,39}, {4,24}, {6,28}, {16,24} }; // ETB48.26 // Bipartite(16,32) Valencies [6,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 96 EdgesBipt[48][26]:={ {7,48}, {6,39}, {16,36}, {8,24}, {3,29}, {2,22}, {5,42}, {6,36}, {3,46}, {6,17}, {1,31}, {10,27}, {1,40}, {13,24}, {1,38}, {9,39}, {16,40}, {9,19}, {13,27}, {12,18}, {13,42}, {7,23}, {8,34}, {3,45}, {3,34}, {14,20}, {10,45}, {14,46}, {4,26}, {5,21}, {8,44}, {9,38}, {15,34}, {10,36}, {8,33}, {7,26}, {4,39}, {1,17}, {2,32}, {10,41}, {7,47}, {16,26}, {16,35}, {10,37}, {5,19}, {14,43}, {14,38}, {13,47}, {10,33}, {15,19}, {4,21}, {12,29}, {6,29}, {9,48}, {12,23}, {5,22}, {9,44}, {2,27}, {3,35}, {15,31}, {1,23}, {12,43}, {2,48}, {14,22}, {6,30}, {15,18}, {5,45}, {8,43}, {9,28}, {3,28}, {11,31}, {15,37}, {11,25}, {13,28}, {11,21}, {6,20}, {16,44}, {12,42}, {4,18}, {8,25}, {7,46}, {7,37}, {13,17}, {11,20}, {1,33}, {12,32}, {2,25}, {14,41}, {11,47}, {4,41}, {15,30}, {16,32}, {11,35}, {2,30}, {4,24}, {5,40} }; // ETB48.27 // Bipartite(16,32) Valencies [6,3] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[48][27]:={ {14,39}, {13,41}, {14,21}, {11,44}, {12,26}, {12,39}, {15,43}, {13,18}, {7,40}, {6,41}, {10,43}, {10,38}, {2,37}, {13,48}, {7,45}, {9,19}, {1,44}, {12,18}, {1,32}, {11,22}, {15,29}, {12,25}, {10,45}, {2,18}, {5,26}, {6,22}, {15,32}, {3,19}, {3,48}, {12,46}, {10,34}, {2,31}, {8,33}, {4,39}, {16,47}, {1,17}, {1,22}, {14,30}, {3,40}, {4,33}, {10,31}, {16,35}, {16,19}, {4,43}, {6,37}, {2,42}, {4,30}, {14,26}, {7,30}, {15,33}, {14,44}, {5,28}, {4,25}, {7,35}, {12,23}, {11,41}, {11,36}, {2,27}, {14,17}, {3,35}, {5,46}, {16,27}, {5,27}, {2,46}, {6,38}, {16,45}, {11,40}, {9,28}, {5,47}, {5,17}, {8,20}, {8,23}, {11,21}, {6,42}, {10,42}, {9,47}, {8,25}, {9,29}, {13,23}, {8,48}, {13,36}, {15,38}, {3,20}, {7,21}, {1,28}, {3,36}, {9,32}, {6,24}, {4,34}, {7,34}, {13,37}, {16,31}, {15,24}, {9,20}, {1,24}, {8,29} }; // ETB48.28 // Bipartite(16,32) Valencies [6,3] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6291456 EdgesBipt[48][28]:={ {11,30}, {4,24}, {6,37}, {1,47}, {13,19}, {13,28}, {14,19}, {8,31}, {15,36}, {2,32}, {6,33}, {5,29}, {9,20}, {16,34}, {4,34}, {9,31}, {12,33}, {16,41}, {1,33}, {15,20}, {6,26}, {2,39}, {1,39}, {3,42}, {4,40}, {9,44}, {11,27}, {12,30}, {15,38}, {8,24}, {11,37}, {1,31}, {5,44}, {10,45}, {9,47}, {3,29}, {8,47}, {11,21}, {7,36}, {4,32}, {7,27}, {4,18}, {8,40}, {7,43}, {7,40}, {16,18}, {15,46}, {5,38}, {11,46}, {8,42}, {5,28}, {13,39}, {15,30}, {9,36}, {11,43}, {5,45}, {12,41}, {14,43}, {14,35}, {14,32}, {6,21}, {6,42}, {2,48}, {3,18}, {12,46}, {4,48}, {3,26}, {10,29}, {16,25}, {13,35}, {16,22}, {7,20}, {13,23}, {16,38}, {1,17}, {10,37}, {12,25}, {3,45}, {3,34}, {10,19}, {8,26}, {14,27}, {6,17}, {2,23}, {14,48}, {10,21}, {2,41}, {13,44}, {2,25}, {9,28}, {1,23}, {12,17}, {5,22}, {7,24}, {10,35}, {15,22} }; // ETB48.29 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 1152 EdgesBipt[48][29]:={ {13,32}, {18,39}, {17,36}, {18,48}, {18,29}, {23,29}, {15,46}, {16,40}, {22,37}, {21,47}, {7,48}, {9,45}, {16,47}, {8,42}, {8,28}, {20,27}, {3,25}, {10,26}, {12,41}, {21,35}, {3,37}, {19,47}, {8,39}, {7,34}, {15,47}, {12,35}, {23,48}, {24,44}, {10,44}, {2,41}, {9,35}, {8,31}, {16,29}, {23,44}, {10,30}, {19,33}, {4,38}, {22,45}, {2,25}, {10,48}, {11,33}, {6,40}, {1,38}, {10,38}, {17,37}, {9,32}, {19,30}, {9,27}, {5,29}, {2,38}, {12,46}, {14,30}, {14,40}, {8,45}, {7,32}, {24,42}, {2,35}, {15,27}, {3,44}, {22,44}, {24,32}, {9,42}, {17,43}, {1,29}, {7,30}, {24,26}, {23,37}, {8,36}, {14,48}, {6,44}, {19,41}, {11,30}, {12,28}, {23,25}, {5,48}, {21,31}, {4,43}, {4,28}, {20,43}, {18,33}, {1,43}, {4,46}, {13,36}, {24,35}, {5,42}, {9,40}, {22,25}, {22,39}, {5,31}, {6,27}, {6,26}, {12,40}, {20,39}, {21,29}, {14,34}, {5,36}, {1,25}, {22,28}, {17,41}, {20,46}, {19,36}, {13,27}, {13,46}, {24,38}, {16,34}, {19,32}, {20,37}, {11,26}, {14,45}, {4,40}, {5,33}, {20,26}, {11,37}, {18,28}, {6,45}, {23,33}, {10,34}, {15,33}, {13,41}, {1,47}, {6,38}, {2,31}, {11,47}, {16,46}, {18,45}, {3,42}, {4,25}, {3,31}, {21,34}, {15,39}, {17,26}, {12,31}, {7,35}, {13,39}, {11,43}, {15,30}, {1,34}, {21,41}, {2,43}, {17,32}, {3,36}, {16,28}, {7,42}, {14,27} }; // ETB48.30 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 576 EdgesBipt[48][30]:={ {14,39}, {13,41}, {13,25}, {21,43}, {24,33}, {8,31}, {2,38}, {18,40}, {24,26}, {11,33}, {6,41}, {1,46}, {23,27}, {10,48}, {11,42}, {7,38}, {1,25}, {12,40}, {15,44}, {12,31}, {19,40}, {9,39}, {19,31}, {21,26}, {7,45}, {7,27}, {22,35}, {21,35}, {1,32}, {13,43}, {6,40}, {17,42}, {8,42}, {12,27}, {14,35}, {22,28}, {24,45}, {22,33}, {6,34}, {17,44}, {4,26}, {23,30}, {15,32}, {11,45}, {5,37}, {3,48}, {20,25}, {24,40}, {1,34}, {15,39}, {12,46}, {4,37}, {20,38}, {23,45}, {6,47}, {17,48}, {4,46}, {22,46}, {10,25}, {14,30}, {2,32}, {23,41}, {8,47}, {24,38}, {4,33}, {10,41}, {9,34}, {4,28}, {22,29}, {7,25}, {4,43}, {14,28}, {10,37}, {14,45}, {13,35}, {8,26}, {5,29}, {24,31}, {13,47}, {3,27}, {15,33}, {2,35}, {10,29}, {18,27}, {17,36}, {19,43}, {9,48}, {15,26}, {3,42}, {2,43}, {12,44}, {2,48}, {21,29}, {18,46}, {1,39}, {16,45}, {8,38}, {7,44}, {11,40}, {5,47}, {20,44}, {5,36}, {5,31}, {20,30}, {18,29}, {11,30}, {9,46}, {19,34}, {21,37}, {3,39}, {1,37}, {22,42}, {15,27}, {16,28}, {9,29}, {10,32}, {16,43}, {18,47}, {3,36}, {21,42}, {9,41}, {17,26}, {18,36}, {11,47}, {6,35}, {16,38}, {17,32}, {8,30}, {20,36}, {13,31}, {23,34}, {14,48}, {19,25}, {5,44}, {7,34}, {3,33}, {16,32}, {12,37}, {16,39}, {19,28}, {2,30}, {23,36}, {20,41}, {6,28} }; // ETB48.31 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 576 EdgesBipt[48][31]:={ {24,39}, {7,48}, {20,27}, {24,33}, {6,48}, {11,44}, {17,39}, {2,38}, {12,39}, {9,30}, {15,43}, {18,44}, {17,27}, {9,42}, {7,40}, {4,27}, {16,30}, {6,41}, {1,40}, {1,25}, {2,47}, {7,33}, {22,38}, {18,42}, {13,34}, {9,39}, {16,40}, {7,45}, {10,44}, {1,32}, {8,42}, {16,48}, {17,43}, {20,42}, {3,34}, {10,45}, {14,46}, {4,26}, {23,30}, {21,28}, {2,29}, {14,27}, {3,48}, {19,37}, {17,31}, {5,33}, {4,37}, {13,44}, {20,35}, {7,41}, {19,30}, {19,26}, {22,46}, {13,26}, {15,25}, {18,38}, {2,32}, {21,41}, {3,40}, {8,47}, {2,36}, {15,36}, {7,29}, {10,39}, {9,34}, {23,48}, {10,31}, {16,35}, {4,43}, {10,37}, {18,25}, {14,43}, {14,38}, {4,45}, {6,26}, {21,33}, {12,28}, {17,33}, {5,28}, {12,29}, {11,26}, {13,40}, {6,29}, {19,43}, {18,35}, {14,32}, {6,31}, {21,30}, {11,41}, {3,42}, {21,46}, {5,38}, {2,43}, {15,31}, {5,46}, {15,42}, {16,27}, {10,28}, {6,38}, {13,32}, {8,32}, {22,39}, {23,37}, {3,28}, {19,36}, {20,45}, {23,31}, {12,36}, {22,34}, {13,28}, {24,35}, {18,29}, {21,36}, {9,46}, {16,46}, {1,37}, {9,47}, {11,32}, {23,44}, {22,26}, {8,25}, {12,47}, {20,29}, {24,41}, {20,34}, {24,47}, {19,41}, {24,27}, {1,33}, {14,40}, {3,36}, {8,37}, {11,47}, {8,30}, {4,34}, {5,44}, {22,31}, {1,45}, {23,35}, {11,35}, {5,25}, {12,45}, {17,25}, {15,48} }; // ETB48.32 // Bipartite(24,24) Valencies [6,6] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 576 EdgesBipt[48][32]:={ {14,39}, {4,35}, {7,48}, {19,45}, {21,43}, {18,41}, {11,44}, {13,29}, {1,43}, {18,40}, {15,43}, {14,34}, {3,29}, {19,44}, {17,27}, {5,42}, {9,42}, {3,38}, {6,36}, {7,40}, {16,30}, {4,48}, {21,47}, {1,40}, {5,34}, {1,25}, {12,40}, {7,33}, {3,32}, {17,35}, {12,33}, {8,46}, {22,44}, {21,25}, {4,44}, {14,42}, {1,32}, {24,43}, {16,48}, {22,28}, {20,42}, {6,45}, {2,28}, {16,41}, {12,25}, {10,45}, {6,34}, {8,41}, {19,37}, {20,25}, {24,40}, {9,38}, {12,46}, {17,30}, {4,37}, {10,34}, {20,38}, {17,48}, {2,31}, {7,41}, {8,33}, {9,43}, {19,26}, {18,33}, {15,25}, {23,41}, {24,38}, {10,39}, {23,48}, {10,31}, {16,26}, {10,37}, {14,28}, {15,46}, {8,35}, {13,45}, {5,29}, {4,31}, {17,46}, {13,47}, {4,30}, {2,34}, {7,30}, {15,33}, {3,47}, {18,48}, {9,25}, {11,37}, {11,26}, {2,44}, {6,29}, {18,27}, {18,35}, {11,41}, {12,38}, {14,36}, {22,37}, {8,27}, {5,45}, {2,39}, {22,39}, {5,47}, {20,47}, {20,32}, {22,45}, {23,31}, {24,32}, {13,28}, {14,47}, {21,32}, {11,30}, {21,36}, {19,34}, {6,42}, {1,27}, {15,27}, {23,44}, {9,29}, {20,29}, {2,26}, {7,46}, {13,36}, {15,38}, {24,27}, {1,33}, {24,46}, {12,32}, {3,36}, {21,42}, {8,30}, {16,37}, {10,26}, {3,43}, {9,36}, {22,31}, {23,26}, {23,35}, {17,40}, {11,35}, {5,39}, {16,31}, {19,28}, {13,39}, {6,28} }; // ETB48.33 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 288 EdgesBipt[48][33]:={ {2,44}, {2,33}, {17,35}, {18,48}, {18,29}, {23,29}, {4,30}, {22,37}, {21,32}, {9,45}, {5,38}, {8,42}, {19,44}, {22,46}, {1,32}, {3,25}, {20,40}, {12,38}, {7,44}, {4,31}, {2,27}, {3,37}, {13,35}, {24,30}, {22,32}, {21,43}, {16,25}, {23,48}, {8,25}, {13,47}, {8,31}, {8,27}, {16,29}, {2,42}, {15,25}, {11,28}, {16,43}, {18,37}, {23,32}, {15,29}, {4,38}, {6,47}, {11,38}, {3,46}, {10,48}, {21,46}, {9,48}, {9,26}, {12,36}, {4,41}, {23,45}, {5,43}, {14,30}, {9,41}, {17,39}, {10,41}, {10,28}, {22,27}, {24,25}, {23,26}, {1,29}, {3,39}, {13,31}, {24,47}, {18,44}, {6,33}, {8,36}, {6,44}, {19,41}, {15,35}, {11,30}, {15,37}, {15,34}, {13,28}, {18,27}, {24,34}, {14,41}, {1,33}, {20,43}, {5,42}, {12,26}, {7,31}, {12,33}, {10,43}, {21,39}, {17,28}, {12,27}, {19,46}, {9,40}, {16,45}, {1,42}, {11,39}, {6,26}, {8,40}, {12,30}, {21,30}, {10,32}, {1,39}, {20,25}, {5,36}, {17,41}, {7,29}, {20,48}, {1,37}, {4,40}, {5,33}, {20,34}, {23,33}, {14,44}, {4,34}, {10,34}, {2,47}, {2,31}, {16,42}, {20,36}, {22,48}, {11,47}, {15,28}, {3,42}, {13,38}, {9,38}, {7,45}, {5,45}, {21,36}, {18,40}, {17,26}, {24,46}, {6,39}, {14,46}, {3,47}, {19,35}, {7,35}, {11,43}, {13,45}, {19,34}, {22,36}, {6,35}, {17,32}, {16,28}, {7,40}, {19,37}, {14,27}, {24,31}, {14,26} }; // ETB48.34 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2304 EdgesBipt[48][34]:={ {6,48}, {8,48}, {2,44}, {17,35}, {11,36}, {2,46}, {18,48}, {23,29}, {15,46}, {10,37}, {4,30}, {21,47}, {14,39}, {8,28}, {18,38}, {22,46}, {1,32}, {7,41}, {7,44}, {15,44}, {12,42}, {7,34}, {11,41}, {8,25}, {13,47}, {17,46}, {16,29}, {23,39}, {15,25}, {16,43}, {4,38}, {3,34}, {11,38}, {6,40}, {1,38}, {19,40}, {17,37}, {19,30}, {9,27}, {24,37}, {12,36}, {5,29}, {2,37}, {5,43}, {7,39}, {2,39}, {7,32}, {24,42}, {10,28}, {22,27}, {2,35}, {21,44}, {21,27}, {3,44}, {20,33}, {6,43}, {23,26}, {10,29}, {21,26}, {22,44}, {12,43}, {13,31}, {23,37}, {24,47}, {13,33}, {19,42}, {18,43}, {16,32}, {15,35}, {4,48}, {15,34}, {1,45}, {8,35}, {20,45}, {19,31}, {23,47}, {14,41}, {3,27}, {18,36}, {20,43}, {16,48}, {5,28}, {13,36}, {5,42}, {12,33}, {21,39}, {20,29}, {17,28}, {19,46}, {9,40}, {16,45}, {8,32}, {17,25}, {12,40}, {10,32}, {22,47}, {6,28}, {22,31}, {9,30}, {10,39}, {13,27}, {13,26}, {6,42}, {11,26}, {14,45}, {4,40}, {10,35}, {3,30}, {5,33}, {8,34}, {20,26}, {11,27}, {23,33}, {4,34}, {14,32}, {2,47}, {6,25}, {20,36}, {9,36}, {19,25}, {18,45}, {9,38}, {4,25}, {3,38}, {11,45}, {1,41}, {3,41}, {1,48}, {18,40}, {24,46}, {12,31}, {17,42}, {7,35}, {15,30}, {22,30}, {9,31}, {1,34}, {5,37}, {21,41}, {24,33}, {16,28}, {24,31}, {14,29}, {14,26} }; // ETB48.35 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 288 EdgesBipt[48][35]:={ {24,39}, {16,25}, {6,39}, {9,40}, {11,44}, {8,39}, {8,31}, {23,47}, {3,29}, {3,38}, {24,26}, {6,36}, {1,31}, {18,39}, {21,47}, {23,33}, {24,48}, {6,41}, {1,46}, {4,40}, {11,42}, {12,40}, {22,30}, {2,37}, {18,42}, {24,29}, {13,34}, {19,40}, {1,38}, {19,27}, {5,41}, {7,27}, {21,44}, {20,43}, {20,42}, {12,25}, {10,45}, {16,33}, {14,46}, {24,34}, {20,40}, {3,41}, {12,30}, {1,34}, {11,34}, {17,31}, {9,38}, {4,37}, {13,44}, {23,32}, {23,45}, {17,48}, {20,35}, {10,36}, {7,26}, {19,26}, {21,38}, {13,26}, {15,25}, {6,33}, {23,41}, {24,38}, {4,33}, {7,47}, {16,35}, {10,37}, {14,28}, {15,46}, {8,35}, {15,35}, {13,45}, {16,29}, {11,28}, {3,27}, {4,30}, {2,35}, {17,33}, {14,44}, {5,28}, {13,30}, {4,25}, {22,48}, {11,37}, {7,35}, {17,36}, {19,43}, {22,27}, {14,32}, {6,31}, {21,46}, {2,43}, {2,48}, {8,27}, {10,28}, {18,46}, {2,39}, {9,28}, {23,37}, {20,32}, {22,45}, {19,42}, {14,47}, {1,42}, {5,48}, {18,29}, {11,30}, {21,36}, {16,46}, {22,43}, {10,42}, {15,27}, {15,41}, {9,29}, {7,32}, {13,36}, {20,34}, {15,38}, {16,43}, {12,41}, {14,29}, {21,40}, {12,32}, {19,47}, {18,31}, {8,37}, {9,32}, {8,30}, {17,28}, {10,26}, {3,43}, {6,44}, {9,36}, {4,47}, {5,44}, {22,31}, {7,34}, {3,33}, {5,39}, {1,48}, {5,25}, {12,45}, {17,25}, {18,26}, {2,45} }; // ETB48.36 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[48][36]:={ {7,43}, {11,43}, {13,41}, {13,25}, {20,27}, {6,48}, {8,39}, {22,32}, {8,31}, {12,26}, {12,39}, {9,30}, {18,44}, {14,34}, {3,29}, {23,38}, {19,39}, {21,47}, {24,48}, {10,38}, {1,40}, {4,40}, {1,25}, {7,33}, {15,44}, {22,38}, {2,37}, {10,40}, {19,27}, {2,33}, {17,35}, {19,31}, {7,45}, {21,25}, {4,44}, {1,32}, {6,40}, {9,37}, {16,48}, {17,43}, {8,34}, {3,45}, {24,45}, {20,42}, {22,41}, {3,31}, {16,33}, {14,46}, {8,41}, {19,37}, {24,37}, {20,38}, {22,47}, {17,48}, {19,30}, {4,46}, {22,46}, {14,30}, {12,34}, {9,34}, {7,29}, {15,36}, {7,25}, {5,43}, {8,35}, {13,45}, {5,29}, {11,46}, {17,46}, {15,45}, {24,31}, {13,47}, {4,30}, {14,26}, {10,33}, {6,26}, {21,33}, {2,40}, {4,36}, {15,33}, {10,29}, {1,35}, {23,29}, {7,35}, {11,41}, {3,42}, {9,44}, {18,32}, {5,38}, {12,44}, {2,48}, {15,42}, {16,27}, {5,27}, {18,28}, {14,31}, {8,43}, {9,28}, {5,47}, {3,26}, {19,36}, {15,37}, {11,25}, {12,36}, {22,34}, {24,35}, {21,32}, {18,29}, {11,30}, {21,36}, {1,41}, {20,26}, {11,27}, {4,32}, {6,42}, {3,39}, {10,42}, {12,47}, {10,32}, {17,38}, {18,45}, {16,43}, {16,42}, {18,47}, {2,25}, {1,28}, {23,28}, {9,41}, {20,36}, {6,44}, {23,34}, {20,46}, {14,48}, {23,26}, {13,37}, {23,35}, {17,40}, {5,39}, {16,31}, {2,30}, {24,28}, {13,39}, {6,28}, {21,27} }; // ETB48.37 // Bipartite(24,24) Valencies [6,6] // Diameter 8 Girth 4 // Has twins VT AT // Automorphism group of order 90275517038592 EdgesBipt[48][37]:={ {24,39}, {9,40}, {7,39}, {21,43}, {18,41}, {11,44}, {13,29}, {8,39}, {8,31}, {23,47}, {19,44}, {20,28}, {23,38}, {24,48}, {5,35}, {1,40}, {11,42}, {7,38}, {1,25}, {22,30}, {23,39}, {22,38}, {18,42}, {2,33}, {7,31}, {16,40}, {22,35}, {13,27}, {21,35}, {4,44}, {1,32}, {13,43}, {14,35}, {16,48}, {3,34}, {14,46}, {23,30}, {14,27}, {5,37}, {24,40}, {6,43}, {11,34}, {15,39}, {4,37}, {10,34}, {2,41}, {17,48}, {19,26}, {16,47}, {18,33}, {22,46}, {10,25}, {6,46}, {14,30}, {8,47}, {10,41}, {4,28}, {7,47}, {4,29}, {5,43}, {15,46}, {18,25}, {14,43}, {13,45}, {14,38}, {13,35}, {4,45}, {5,29}, {11,28}, {24,31}, {2,42}, {2,34}, {18,34}, {10,33}, {12,28}, {4,36}, {7,30}, {17,33}, {12,29}, {9,25}, {11,26}, {8,40}, {20,37}, {22,27}, {23,46}, {9,48}, {9,33}, {3,42}, {11,36}, {21,45}, {12,44}, {15,31}, {21,29}, {5,27}, {6,30}, {5,45}, {6,38}, {8,32}, {3,28}, {20,44}, {3,26}, {19,36}, {20,45}, {23,31}, {12,36}, {19,42}, {24,32}, {1,41}, {3,44}, {19,34}, {21,37}, {22,43}, {10,42}, {17,41}, {20,29}, {2,26}, {7,46}, {8,48}, {24,47}, {15,38}, {15,47}, {1,33}, {2,25}, {3,36}, {9,41}, {9,32}, {6,35}, {17,32}, {20,36}, {10,26}, {6,27}, {15,30}, {13,37}, {16,32}, {17,40}, {12,37}, {16,31}, {16,39}, {19,28}, {1,48}, {12,45}, {17,25}, {18,26}, {21,27} }; // ETB48.38 // Bipartite(24,24) Valencies [6,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 330225942528 EdgesBipt[48][38]:={ {7,43}, {13,25}, {16,34}, {5,32}, {7,39}, {19,45}, {18,41}, {12,48}, {11,44}, {1,43}, {12,26}, {18,40}, {23,47}, {15,43}, {19,44}, {20,28}, {24,26}, {11,33}, {1,31}, {16,30}, {4,48}, {19,39}, {6,41}, {23,27}, {4,40}, {5,34}, {1,25}, {12,40}, {22,30}, {23,39}, {2,47}, {3,32}, {13,34}, {10,40}, {19,27}, {7,31}, {8,46}, {7,27}, {21,25}, {14,42}, {9,37}, {21,44}, {8,42}, {17,43}, {8,34}, {3,45}, {19,33}, {22,41}, {6,45}, {2,28}, {9,31}, {22,33}, {13,46}, {24,34}, {10,47}, {4,26}, {20,40}, {2,29}, {11,45}, {5,37}, {14,33}, {15,39}, {17,31}, {24,42}, {13,44}, {20,38}, {2,41}, {17,48}, {9,43}, {1,36}, {14,30}, {6,33}, {24,38}, {10,41}, {4,28}, {22,29}, {7,47}, {20,48}, {16,26}, {14,45}, {15,35}, {8,26}, {11,39}, {3,27}, {2,40}, {12,28}, {4,36}, {2,35}, {9,25}, {10,29}, {6,29}, {7,35}, {17,36}, {9,48}, {18,35}, {4,38}, {12,38}, {21,46}, {15,31}, {5,46}, {6,30}, {10,28}, {18,28}, {8,38}, {13,32}, {22,45}, {24,30}, {17,37}, {23,31}, {12,36}, {21,32}, {18,29}, {16,46}, {20,26}, {11,27}, {3,44}, {6,42}, {21,37}, {3,39}, {1,37}, {22,42}, {15,27}, {11,32}, {16,42}, {18,47}, {14,29}, {15,47}, {24,46}, {21,34}, {14,41}, {16,38}, {8,30}, {20,36}, {9,36}, {19,32}, {10,35}, {23,43}, {5,44}, {3,33}, {13,37}, {23,35}, {1,48}, {5,25}, {17,25} }; // ETB48.39 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 644972544 EdgesBipt[48][39]:={ {6,48}, {3,33}, {17,35}, {17,44}, {12,29}, {5,34}, {18,29}, {3,40}, {15,46}, {18,32}, {8,30}, {7,48}, {9,45}, {16,47}, {21,37}, {4,29}, {1,27}, {12,38}, {7,41}, {10,26}, {14,38}, {9,44}, {4,31}, {22,42}, {21,42}, {15,48}, {24,30}, {2,26}, {8,39}, {21,43}, {16,25}, {12,35}, {15,43}, {23,48}, {8,25}, {2,41}, {2,28}, {18,41}, {23,43}, {9,35}, {18,34}, {23,39}, {11,28}, {16,30}, {19,28}, {15,45}, {19,33}, {4,38}, {6,47}, {20,38}, {11,33}, {6,40}, {2,34}, {19,40}, {9,26}, {19,30}, {9,27}, {24,37}, {12,36}, {1,44}, {12,46}, {8,47}, {23,45}, {5,43}, {7,46}, {14,40}, {7,39}, {24,39}, {10,41}, {7,43}, {20,31}, {11,31}, {10,28}, {24,25}, {23,41}, {10,29}, {22,44}, {24,32}, {16,37}, {4,35}, {24,47}, {9,25}, {15,41}, {13,33}, {14,48}, {2,32}, {16,32}, {13,43}, {14,47}, {6,44}, {11,30}, {17,27}, {14,42}, {1,45}, {19,31}, {18,26}, {3,27}, {4,46}, {21,33}, {8,37}, {13,36}, {5,42}, {4,36}, {20,29}, {8,32}, {17,25}, {10,32}, {5,36}, {1,25}, {22,47}, {20,46}, {1,35}, {13,42}, {20,35}, {6,42}, {3,30}, {5,33}, {2,29}, {11,27}, {18,28}, {1,26}, {14,44}, {23,46}, {10,34}, {6,38}, {11,40}, {20,36}, {22,48}, {16,39}, {17,45}, {3,28}, {7,45}, {22,40}, {13,37}, {21,36}, {3,31}, {21,34}, {15,39}, {17,26}, {12,31}, {13,34}, {5,37}, {19,27}, {22,38} }; // ETB48.40 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 2415919104 EdgesBipt[48][40]:={ {13,41}, {7,42}, {13,25}, {16,34}, {20,27}, {7,39}, {6,48}, {11,44}, {13,29}, {16,36}, {8,39}, {22,32}, {12,26}, {17,47}, {21,39}, {15,43}, {14,34}, {3,29}, {24,26}, {6,36}, {23,38}, {4,48}, {19,39}, {5,35}, {1,25}, {12,40}, {10,40}, {18,37}, {1,38}, {19,27}, {17,35}, {6,25}, {9,39}, {7,27}, {22,44}, {11,38}, {10,44}, {14,42}, {21,44}, {16,48}, {17,43}, {22,28}, {3,45}, {15,29}, {13,38}, {22,33}, {10,45}, {3,31}, {14,46}, {2,29}, {1,29}, {20,25}, {24,40}, {3,41}, {12,30}, {17,31}, {24,42}, {20,33}, {23,32}, {9,27}, {6,47}, {2,41}, {8,33}, {19,30}, {4,46}, {13,26}, {14,30}, {24,38}, {9,34}, {23,48}, {7,47}, {5,43}, {4,43}, {18,25}, {6,37}, {4,31}, {15,45}, {2,42}, {2,34}, {10,33}, {12,28}, {4,36}, {7,30}, {15,33}, {18,48}, {5,28}, {1,26}, {11,26}, {7,35}, {20,37}, {18,35}, {12,38}, {9,44}, {11,36}, {21,46}, {15,31}, {8,27}, {10,28}, {2,46}, {5,47}, {22,45}, {24,30}, {5,31}, {20,45}, {19,42}, {11,48}, {21,32}, {9,46}, {1,41}, {16,46}, {1,37}, {12,42}, {11,32}, {23,44}, {15,41}, {8,25}, {10,32}, {8,45}, {16,43}, {18,47}, {14,29}, {19,47}, {21,34}, {14,41}, {8,37}, {18,36}, {20,39}, {9,32}, {6,35}, {17,28}, {3,43}, {4,34}, {19,35}, {22,40}, {23,26}, {3,33}, {13,37}, {17,40}, {16,31}, {2,30}, {23,36}, {5,40}, {24,28}, {21,27} }; // ETB48.41 // Bipartite(24,24) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 589824 EdgesBipt[48][41]:={ {11,43}, {13,25}, {7,48}, {20,27}, {5,32}, {19,45}, {24,33}, {6,48}, {16,36}, {8,39}, {12,26}, {2,38}, {4,42}, {18,40}, {21,39}, {23,47}, {24,26}, {3,46}, {7,40}, {9,45}, {10,43}, {11,42}, {1,25}, {7,33}, {12,31}, {15,44}, {2,37}, {18,42}, {3,32}, {19,40}, {1,38}, {19,27}, {5,41}, {7,31}, {9,39}, {6,25}, {12,33}, {19,31}, {7,45}, {7,27}, {22,35}, {1,44}, {3,30}, {6,40}, {24,43}, {9,37}, {22,28}, {19,33}, {13,38}, {22,41}, {14,46}, {15,32}, {8,44}, {20,25}, {3,41}, {11,34}, {5,33}, {4,37}, {10,34}, {13,44}, {9,27}, {6,47}, {20,35}, {2,31}, {4,46}, {13,26}, {14,30}, {24,38}, {10,41}, {9,34}, {10,39}, {20,48}, {4,29}, {15,46}, {18,25}, {14,45}, {8,35}, {14,38}, {15,35}, {5,29}, {16,29}, {24,31}, {13,47}, {12,28}, {4,36}, {17,33}, {18,48}, {5,28}, {13,30}, {1,26}, {11,26}, {6,29}, {23,42}, {12,38}, {11,36}, {21,45}, {3,35}, {12,43}, {8,27}, {10,28}, {2,46}, {14,31}, {14,37}, {22,39}, {20,44}, {22,34}, {18,29}, {21,36}, {16,46}, {3,44}, {4,32}, {6,42}, {21,37}, {22,43}, {17,41}, {15,41}, {8,25}, {17,29}, {8,48}, {16,42}, {18,47}, {21,34}, {20,39}, {11,47}, {17,32}, {16,37}, {17,28}, {9,36}, {23,34}, {10,35}, {1,47}, {23,43}, {23,26}, {15,30}, {16,32}, {17,40}, {1,30}, {2,30}, {23,36}, {5,40}, {19,48}, {24,28}, {2,45}, {21,27} }; // ETB48.42 // Bipartite(24,24) Valencies [7,7] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2016 EdgesBipt[48][42]:={ {2,44}, {8,48}, {17,36}, {4,27}, {5,34}, {13,40}, {18,48}, {3,40}, {23,27}, {15,46}, {12,45}, {10,37}, {18,32}, {8,30}, {21,32}, {21,47}, {7,48}, {5,38}, {12,32}, {7,38}, {16,31}, {8,33}, {24,27}, {23,28}, {9,44}, {12,39}, {4,31}, {22,42}, {10,33}, {12,42}, {3,35}, {21,35}, {5,47}, {3,37}, {14,31}, {24,30}, {11,41}, {19,48}, {21,43}, {16,25}, {7,36}, {15,43}, {2,41}, {18,41}, {5,32}, {8,44}, {17,46}, {16,29}, {18,34}, {11,28}, {18,37}, {6,29}, {19,28}, {19,33}, {20,38}, {5,40}, {2,25}, {3,46}, {9,48}, {9,29}, {9,32}, {9,27}, {24,37}, {22,34}, {12,36}, {1,44}, {2,38}, {23,45}, {14,40}, {15,26}, {24,42}, {23,34}, {7,43}, {11,31}, {7,25}, {2,35}, {3,44}, {20,33}, {4,47}, {10,29}, {15,42}, {9,42}, {16,37}, {10,40}, {17,43}, {3,32}, {24,47}, {8,36}, {14,48}, {13,33}, {24,45}, {5,30}, {6,44}, {17,30}, {19,41}, {21,25}, {15,35}, {6,46}, {17,27}, {12,28}, {13,25}, {20,45}, {1,28}, {23,38}, {1,33}, {22,43}, {8,37}, {24,35}, {8,26}, {12,26}, {13,30}, {10,43}, {4,36}, {21,39}, {20,29}, {22,39}, {1,42}, {6,26}, {21,29}, {18,25}, {1,25}, {17,41}, {6,41}, {22,31}, {13,46}, {7,28}, {11,26}, {14,45}, {4,40}, {16,36}, {11,37}, {10,27}, {23,46}, {10,34}, {15,33}, {19,39}, {1,47}, {2,31}, {20,47}, {20,36}, {16,42}, {6,34}, {11,47}, {22,48}, {15,38}, {5,26}, {18,45}, {16,46}, {9,38}, {3,28}, {20,41}, {14,35}, {23,31}, {6,39}, {19,35}, {13,39}, {11,43}, {2,30}, {13,45}, {22,30}, {1,34}, {17,32}, {4,39}, {7,40}, {4,44}, {19,27}, {14,29}, {14,26} }; // ETB48.43 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 4096 EdgesBipt[48][43]:={ {7,48}, {14,21}, {7,39}, {13,29}, {16,36}, {11,17}, {8,24}, {9,30}, {5,42}, {9,42}, {6,36}, {16,30}, {6,41}, {5,35}, {9,45}, {10,48}, {13,24}, {5,34}, {14,18}, {3,32}, {13,34}, {10,40}, {2,33}, {7,31}, {12,33}, {8,46}, {7,27}, {15,40}, {1,44}, {4,44}, {11,22}, {13,43}, {16,20}, {12,27}, {13,38}, {3,31}, {16,33}, {2,19}, {10,47}, {5,26}, {10,18}, {10,23}, {3,19}, {1,29}, {7,28}, {15,39}, {6,47}, {2,23}, {9,43}, {1,36}, {1,17}, {10,25}, {6,46}, {15,25}, {8,47}, {8,21}, {9,34}, {10,31}, {3,22}, {10,37}, {15,46}, {13,35}, {13,45}, {6,37}, {11,39}, {4,45}, {3,23}, {11,46}, {2,42}, {4,30}, {14,26}, {2,40}, {12,28}, {15,19}, {4,21}, {4,17}, {2,35}, {12,29}, {12,35}, {4,25}, {11,26}, {6,29}, {4,38}, {11,41}, {12,38}, {2,43}, {12,44}, {15,31}, {16,27}, {14,22}, {5,27}, {11,19}, {8,38}, {14,23}, {3,28}, {9,24}, {15,37}, {13,28}, {8,20}, {14,47}, {5,48}, {11,21}, {6,20}, {1,41}, {16,44}, {1,37}, {7,22}, {4,18}, {8,25}, {7,32}, {2,26}, {15,17}, {16,42}, {14,41}, {9,32}, {6,24}, {8,30}, {9,36}, {3,43}, {14,48}, {7,34}, {3,33}, {1,45}, {16,32}, {5,39}, {12,20}, {1,18}, {5,40} }; // ETB48.44 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[48][44]:={ {14,39}, {16,25}, {7,42}, {13,29}, {8,31}, {11,23}, {4,27}, {6,17}, {8,36}, {4,48}, {1,46}, {6,23}, {10,48}, {7,38}, {12,17}, {15,44}, {13,48}, {12,22}, {5,24}, {13,34}, {10,40}, {2,33}, {16,23}, {16,40}, {7,27}, {9,19}, {9,21}, {12,18}, {10,44}, {11,38}, {12,27}, {13,42}, {13,38}, {3,34}, {9,31}, {14,20}, {16,41}, {2,19}, {2,18}, {8,41}, {15,32}, {5,21}, {15,28}, {2,29}, {11,45}, {10,30}, {3,41}, {1,34}, {10,36}, {7,26}, {9,43}, {4,46}, {1,17}, {14,30}, {3,40}, {12,34}, {4,28}, {15,36}, {7,47}, {4,29}, {16,26}, {4,43}, {10,24}, {8,35}, {14,45}, {13,35}, {14,43}, {4,45}, {11,39}, {6,26}, {2,40}, {15,33}, {3,47}, {12,29}, {11,37}, {9,33}, {3,42}, {5,22}, {6,19}, {5,38}, {1,23}, {16,27}, {14,22}, {6,30}, {15,18}, {1,39}, {8,43}, {7,44}, {9,28}, {5,36}, {5,31}, {15,37}, {11,25}, {8,20}, {14,47}, {6,20}, {9,26}, {16,46}, {4,32}, {13,21}, {3,39}, {10,42}, {9,47}, {7,22}, {11,32}, {7,32}, {8,48}, {15,17}, {12,41}, {2,25}, {1,28}, {8,37}, {3,37}, {6,35}, {5,18}, {6,44}, {10,46}, {13,19}, {3,33}, {11,35}, {16,31}, {2,30}, {1,21}, {12,20}, {5,25}, {14,24}, {1,24}, {2,45} }; // ETB48.45 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 256 EdgesBipt[48][45]:={ {10,19}, {7,48}, {13,25}, {5,32}, {7,39}, {9,40}, {10,21}, {11,17}, {9,30}, {14,34}, {1,31}, {16,30}, {10,27}, {6,41}, {9,45}, {1,40}, {4,40}, {11,42}, {7,38}, {14,18}, {12,31}, {5,24}, {12,33}, {16,40}, {8,46}, {3,30}, {11,22}, {13,43}, {8,34}, {6,45}, {2,28}, {14,20}, {16,33}, {2,19}, {2,18}, {10,47}, {4,26}, {5,21}, {1,29}, {3,48}, {3,18}, {6,43}, {15,39}, {9,38}, {4,37}, {2,41}, {6,47}, {2,23}, {8,33}, {4,46}, {1,36}, {1,17}, {10,25}, {13,26}, {8,47}, {4,33}, {9,34}, {10,39}, {15,36}, {16,35}, {7,25}, {10,37}, {15,46}, {8,26}, {3,23}, {5,29}, {11,46}, {4,31}, {2,42}, {3,27}, {11,18}, {12,28}, {4,17}, {14,44}, {12,35}, {7,35}, {12,24}, {12,23}, {5,22}, {9,44}, {6,19}, {2,27}, {11,36}, {5,38}, {14,17}, {3,35}, {12,43}, {15,42}, {14,22}, {16,45}, {8,43}, {7,44}, {13,32}, {5,36}, {15,37}, {8,20}, {11,48}, {6,20}, {3,44}, {6,42}, {13,21}, {1,37}, {7,22}, {15,27}, {16,28}, {9,29}, {3,25}, {7,32}, {13,23}, {8,45}, {11,20}, {14,29}, {15,47}, {12,32}, {9,41}, {14,41}, {16,38}, {10,26}, {13,31}, {4,34}, {13,19}, {5,39}, {2,30}, {1,21}, {1,24}, {15,48}, {6,28}, {16,24} }; // ETB48.46 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 256 EdgesBipt[48][46]:={ {7,43}, {9,40}, {7,39}, {14,25}, {9,30}, {5,42}, {11,33}, {3,46}, {6,17}, {4,27}, {1,31}, {4,48}, {6,41}, {7,24}, {1,46}, {11,42}, {5,34}, {7,38}, {14,18}, {7,33}, {12,22}, {5,24}, {3,32}, {9,39}, {15,40}, {11,38}, {4,44}, {14,42}, {6,40}, {13,43}, {8,42}, {12,27}, {16,48}, {3,45}, {3,31}, {2,19}, {2,18}, {4,26}, {9,17}, {6,22}, {13,20}, {5,21}, {10,23}, {11,45}, {14,27}, {1,34}, {14,33}, {15,39}, {16,21}, {5,23}, {15,34}, {2,41}, {2,23}, {9,43}, {1,36}, {16,47}, {1,17}, {10,25}, {2,32}, {6,33}, {12,34}, {8,47}, {10,31}, {16,19}, {10,37}, {10,24}, {13,35}, {16,29}, {15,45}, {4,30}, {4,36}, {2,35}, {3,47}, {13,30}, {4,25}, {10,29}, {8,40}, {13,22}, {6,29}, {9,48}, {15,26}, {4,38}, {14,32}, {11,36}, {6,19}, {14,17}, {3,35}, {12,44}, {15,31}, {2,48}, {10,28}, {11,19}, {7,44}, {14,37}, {5,20}, {13,28}, {8,20}, {11,21}, {9,46}, {9,18}, {16,46}, {16,44}, {1,27}, {7,22}, {15,41}, {8,25}, {12,47}, {13,23}, {2,26}, {8,45}, {13,36}, {7,37}, {15,38}, {12,41}, {12,32}, {1,28}, {3,37}, {5,18}, {8,30}, {10,26}, {3,43}, {11,35}, {5,39}, {1,21}, {12,20}, {8,29}, {6,28}, {16,24} }; // ETB48.47 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 4096 EdgesBipt[48][47]:={ {10,19}, {13,41}, {1,43}, {8,24}, {2,38}, {12,19}, {9,42}, {5,30}, {3,46}, {4,48}, {6,41}, {5,35}, {9,45}, {11,42}, {5,34}, {14,18}, {12,17}, {7,33}, {15,44}, {12,22}, {16,18}, {6,32}, {16,40}, {8,46}, {7,27}, {10,44}, {3,30}, {1,32}, {6,40}, {8,34}, {12,25}, {10,47}, {5,26}, {9,17}, {11,45}, {14,27}, {5,37}, {9,38}, {4,20}, {13,44}, {15,22}, {10,36}, {7,41}, {16,47}, {13,26}, {10,25}, {6,46}, {6,33}, {6,21}, {16,17}, {2,36}, {8,18}, {10,39}, {10,31}, {16,35}, {5,43}, {14,28}, {9,23}, {7,20}, {13,35}, {8,26}, {13,45}, {3,23}, {11,39}, {16,29}, {11,28}, {15,45}, {2,42}, {13,47}, {2,34}, {1,19}, {4,36}, {4,21}, {7,30}, {12,29}, {10,29}, {13,40}, {8,40}, {7,35}, {9,48}, {15,26}, {4,38}, {12,23}, {12,38}, {3,42}, {11,36}, {12,44}, {15,31}, {1,23}, {2,21}, {16,27}, {14,22}, {2,46}, {1,39}, {14,31}, {8,43}, {14,37}, {8,32}, {9,28}, {5,20}, {11,31}, {15,37}, {11,48}, {4,32}, {3,39}, {1,20}, {15,41}, {16,28}, {3,25}, {7,37}, {13,17}, {7,21}, {1,33}, {14,29}, {2,25}, {11,47}, {6,24}, {5,18}, {3,43}, {4,34}, {6,27}, {3,33}, {2,30}, {1,48}, {15,24}, {4,19}, {14,24}, {9,22} }; // ETB48.48 // Bipartite(16,32) Valencies [8,4] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 450868486864896 EdgesBipt[48][48]:={ {10,19}, {4,35}, {14,39}, {16,25}, {7,48}, {6,39}, {7,39}, {13,29}, {15,23}, {8,24}, {12,19}, {3,29}, {3,38}, {9,42}, {3,46}, {4,27}, {7,40}, {10,27}, {7,24}, {10,43}, {6,23}, {11,29}, {1,25}, {7,31}, {16,40}, {15,40}, {11,38}, {4,44}, {3,30}, {11,22}, {12,27}, {16,48}, {7,23}, {3,45}, {16,41}, {16,33}, {2,19}, {2,18}, {14,46}, {8,41}, {10,18}, {9,17}, {6,22}, {15,32}, {13,20}, {5,21}, {11,45}, {5,37}, {1,34}, {15,39}, {10,34}, {4,20}, {13,44}, {6,47}, {8,33}, {1,17}, {6,46}, {14,30}, {16,17}, {9,34}, {4,28}, {7,47}, {3,22}, {4,43}, {13,45}, {14,38}, {8,17}, {5,29}, {11,46}, {2,42}, {2,34}, {12,28}, {4,36}, {2,35}, {5,28}, {12,35}, {9,25}, {1,26}, {11,37}, {8,40}, {6,31}, {9,33}, {2,27}, {2,43}, {12,44}, {15,31}, {12,43}, {14,22}, {6,30}, {5,45}, {6,38}, {14,31}, {14,23}, {8,32}, {5,20}, {5,36}, {12,36}, {13,28}, {14,47}, {1,42}, {11,21}, {9,26}, {3,21}, {11,30}, {9,18}, {1,41}, {13,21}, {10,42}, {8,25}, {7,32}, {2,26}, {8,48}, {13,36}, {1,33}, {15,47}, {9,41}, {3,37}, {10,26}, {10,35}, {5,44}, {13,37}, {16,32}, {1,18}, {12,20}, {15,24}, {4,19}, {15,48}, {16,24} }; // ETB48.49 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 126806761930752 EdgesBipt[48][49]:={ {7,43}, {4,35}, {11,43}, {7,19}, {16,25}, {7,42}, {11,44}, {13,29}, {15,23}, {8,39}, {8,31}, {12,26}, {10,22}, {12,39}, {9,30}, {3,29}, {5,42}, {4,27}, {8,36}, {10,38}, {13,24}, {14,19}, {5,34}, {1,25}, {12,31}, {2,37}, {13,48}, {5,41}, {9,39}, {16,40}, {7,27}, {15,40}, {1,44}, {12,18}, {14,35}, {16,48}, {3,45}, {6,45}, {9,31}, {16,41}, {16,33}, {2,18}, {5,26}, {6,22}, {15,32}, {2,29}, {10,30}, {14,27}, {8,44}, {15,39}, {9,38}, {5,33}, {7,26}, {4,46}, {8,28}, {1,36}, {1,17}, {10,25}, {6,46}, {12,34}, {6,21}, {16,17}, {8,47}, {10,41}, {4,43}, {9,23}, {13,45}, {14,43}, {6,37}, {11,28}, {2,42}, {4,30}, {2,34}, {10,33}, {13,40}, {6,29}, {7,35}, {4,38}, {12,23}, {14,32}, {11,36}, {15,31}, {2,21}, {6,30}, {11,19}, {7,18}, {6,38}, {13,32}, {4,22}, {3,28}, {5,17}, {8,20}, {8,23}, {3,21}, {9,46}, {1,41}, {10,17}, {11,27}, {3,44}, {13,21}, {1,20}, {12,42}, {9,47}, {12,47}, {2,26}, {11,20}, {3,20}, {1,33}, {15,47}, {14,40}, {1,28}, {3,36}, {3,37}, {5,18}, {10,46}, {14,48}, {7,34}, {13,37}, {16,32}, {11,35}, {15,24}, {5,25}, {4,19}, {14,24}, {15,48}, {2,45}, {9,22}, {16,24} }; // ETB48.50 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19327352832 EdgesBipt[48][50]:={ {4,35}, {11,43}, {10,21}, {13,29}, {14,25}, {8,31}, {11,23}, {12,19}, {9,42}, {6,36}, {3,46}, {4,27}, {7,40}, {13,18}, {16,30}, {6,41}, {7,24}, {5,35}, {4,40}, {5,34}, {12,17}, {12,40}, {15,44}, {2,37}, {13,34}, {7,31}, {6,25}, {12,33}, {8,46}, {15,40}, {9,21}, {10,44}, {3,30}, {14,42}, {1,32}, {9,37}, {12,27}, {16,48}, {13,38}, {2,28}, {14,20}, {2,18}, {9,17}, {10,18}, {6,22}, {10,23}, {15,28}, {7,28}, {10,34}, {2,23}, {7,41}, {16,47}, {1,17}, {15,25}, {8,47}, {4,33}, {10,39}, {7,47}, {7,25}, {4,43}, {10,37}, {5,19}, {13,35}, {13,45}, {14,38}, {3,23}, {11,39}, {5,29}, {11,46}, {16,29}, {3,27}, {2,34}, {6,26}, {14,26}, {4,17}, {12,35}, {1,26}, {2,44}, {13,22}, {9,48}, {12,24}, {9,33}, {5,22}, {11,36}, {14,36}, {5,38}, {15,31}, {2,21}, {12,43}, {14,22}, {5,45}, {10,28}, {6,38}, {16,45}, {2,39}, {7,44}, {8,32}, {1,42}, {6,20}, {9,26}, {11,30}, {16,46}, {11,27}, {6,42}, {3,39}, {1,37}, {15,41}, {8,48}, {8,45}, {11,20}, {3,20}, {1,33}, {15,47}, {3,36}, {14,41}, {9,32}, {5,18}, {8,30}, {3,43}, {13,19}, {16,32}, {16,31}, {1,21}, {1,48}, {15,24}, {4,19}, {4,24}, {8,29} }; // ETB48.51 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 134217728 EdgesBipt[48][51]:={ {14,39}, {7,48}, {11,17}, {8,39}, {1,43}, {2,38}, {6,18}, {14,34}, {2,22}, {5,42}, {9,42}, {11,33}, {10,27}, {4,48}, {10,43}, {2,20}, {4,40}, {1,25}, {14,18}, {12,31}, {15,44}, {13,48}, {10,40}, {9,19}, {9,21}, {6,40}, {9,37}, {8,34}, {13,38}, {2,28}, {6,34}, {13,46}, {14,46}, {5,26}, {10,18}, {15,28}, {12,21}, {10,34}, {9,27}, {2,41}, {9,43}, {16,47}, {1,17}, {10,25}, {15,25}, {14,30}, {2,36}, {4,33}, {8,18}, {10,41}, {4,29}, {16,35}, {16,19}, {5,43}, {10,24}, {7,20}, {13,35}, {15,35}, {3,23}, {4,45}, {11,46}, {16,29}, {6,26}, {15,19}, {7,30}, {4,17}, {12,29}, {13,30}, {2,44}, {13,22}, {3,42}, {5,22}, {5,38}, {15,21}, {1,23}, {5,27}, {9,35}, {1,39}, {14,31}, {16,45}, {13,32}, {14,23}, {8,32}, {11,40}, {5,20}, {3,28}, {11,31}, {5,36}, {3,26}, {15,37}, {12,36}, {8,23}, {14,47}, {16,22}, {9,26}, {11,30}, {1,41}, {3,44}, {4,32}, {6,42}, {3,39}, {1,27}, {15,41}, {7,32}, {12,47}, {8,48}, {8,45}, {7,46}, {7,37}, {7,21}, {1,33}, {2,25}, {3,17}, {11,47}, {6,24}, {16,38}, {6,44}, {13,19}, {3,33}, {7,36}, {11,24}, {12,37}, {16,31}, {12,20}, {4,24}, {12,45}, {8,29}, {6,28} }; // ETB48.52 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4194304 EdgesBipt[48][52]:={ {10,19}, {14,39}, {11,43}, {7,19}, {13,25}, {13,41}, {13,29}, {16,36}, {8,39}, {5,42}, {5,30}, {3,46}, {4,27}, {9,45}, {2,20}, {12,40}, {7,33}, {10,40}, {7,31}, {16,23}, {8,46}, {9,21}, {10,44}, {3,30}, {1,32}, {6,40}, {9,37}, {16,20}, {13,38}, {6,45}, {3,34}, {14,20}, {2,18}, {10,47}, {5,26}, {14,27}, {8,44}, {8,22}, {3,18}, {12,21}, {12,30}, {6,43}, {5,33}, {12,46}, {15,34}, {13,33}, {7,41}, {8,28}, {4,39}, {16,47}, {1,17}, {15,25}, {2,32}, {6,21}, {2,36}, {9,34}, {15,36}, {7,47}, {10,31}, {4,29}, {7,25}, {4,43}, {10,24}, {13,45}, {14,43}, {15,20}, {6,37}, {4,45}, {2,42}, {2,34}, {1,19}, {12,28}, {9,25}, {1,35}, {1,26}, {13,22}, {6,29}, {7,35}, {12,24}, {4,38}, {14,32}, {3,42}, {5,22}, {14,36}, {5,38}, {12,44}, {15,31}, {5,46}, {2,48}, {10,28}, {15,18}, {11,19}, {8,38}, {14,23}, {11,40}, {4,22}, {3,26}, {5,17}, {8,23}, {11,48}, {1,42}, {3,21}, {9,18}, {11,27}, {16,44}, {11,32}, {15,41}, {16,28}, {9,29}, {2,26}, {13,17}, {1,33}, {15,47}, {9,41}, {3,37}, {6,24}, {8,30}, {6,27}, {10,35}, {14,48}, {7,17}, {4,23}, {11,24}, {11,35}, {12,37}, {16,31}, {16,39}, {1,48} }; // ETB48.53 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[48][53]:={ {4,35}, {14,39}, {11,43}, {7,19}, {14,21}, {4,42}, {6,18}, {15,43}, {12,19}, {5,42}, {5,30}, {3,38}, {13,18}, {7,40}, {4,48}, {6,41}, {7,24}, {1,40}, {2,20}, {10,48}, {13,24}, {12,17}, {13,34}, {7,31}, {9,39}, {6,25}, {12,33}, {7,45}, {9,19}, {1,44}, {4,44}, {13,38}, {12,25}, {3,31}, {16,33}, {6,34}, {13,46}, {2,18}, {5,26}, {4,26}, {8,41}, {5,21}, {10,23}, {2,29}, {10,30}, {5,37}, {8,22}, {12,30}, {14,33}, {12,46}, {9,27}, {10,36}, {9,43}, {1,36}, {1,17}, {15,25}, {6,21}, {16,17}, {2,36}, {9,34}, {7,29}, {10,39}, {4,28}, {15,36}, {7,47}, {16,26}, {3,22}, {9,23}, {14,45}, {15,20}, {6,37}, {3,23}, {2,42}, {2,34}, {3,47}, {12,35}, {13,30}, {11,37}, {13,40}, {13,22}, {7,35}, {14,17}, {15,31}, {5,46}, {16,27}, {9,35}, {8,38}, {14,23}, {14,37}, {8,32}, {11,40}, {5,47}, {3,28}, {5,31}, {11,48}, {16,22}, {11,21}, {9,18}, {11,27}, {3,44}, {4,32}, {3,39}, {1,20}, {11,32}, {15,27}, {15,41}, {8,25}, {2,26}, {8,45}, {8,48}, {10,32}, {16,43}, {12,41}, {16,42}, {1,33}, {14,29}, {15,47}, {1,28}, {10,20}, {16,38}, {6,44}, {10,46}, {11,24}, {4,19}, {1,24}, {8,29}, {2,45}, {6,28} }; // ETB48.54 // Bipartite(16,32) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8388608 EdgesBipt[48][54]:={ {7,43}, {4,35}, {11,43}, {16,25}, {7,42}, {5,32}, {6,48}, {13,29}, {14,25}, {8,24}, {4,42}, {10,22}, {12,39}, {9,30}, {15,43}, {14,34}, {4,27}, {16,30}, {8,36}, {10,38}, {13,24}, {14,18}, {3,32}, {5,41}, {2,33}, {6,32}, {9,39}, {7,27}, {15,40}, {9,19}, {1,44}, {12,18}, {10,44}, {13,38}, {6,45}, {9,31}, {14,20}, {16,41}, {2,19}, {14,46}, {4,26}, {2,29}, {3,48}, {12,21}, {12,30}, {11,34}, {12,46}, {15,22}, {13,33}, {7,26}, {16,47}, {1,17}, {10,25}, {14,30}, {12,34}, {6,21}, {10,41}, {2,17}, {4,43}, {9,23}, {13,45}, {6,37}, {3,23}, {4,31}, {2,42}, {6,26}, {10,33}, {1,19}, {11,18}, {2,35}, {5,28}, {1,35}, {13,40}, {8,40}, {13,22}, {6,29}, {12,23}, {11,36}, {14,36}, {15,31}, {1,23}, {9,35}, {10,28}, {1,39}, {7,18}, {8,32}, {11,40}, {5,20}, {3,28}, {5,36}, {8,20}, {16,22}, {5,48}, {3,21}, {9,46}, {10,17}, {16,46}, {11,27}, {3,44}, {6,42}, {3,39}, {9,47}, {15,27}, {2,26}, {8,45}, {8,48}, {7,37}, {13,17}, {15,38}, {11,20}, {7,21}, {1,33}, {15,47}, {1,28}, {14,41}, {3,37}, {16,38}, {4,47}, {5,44}, {7,34}, {11,24}, {12,37}, {16,31}, {15,24}, {5,25}, {4,19}, {8,29}, {2,45} }; // ETB48.55 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2304 EdgesBipt[48][55]:={ {8,48}, {3,33}, {16,41}, {13,32}, {9,28}, {6,32}, {17,44}, {2,33}, {11,35}, {5,34}, {16,33}, {16,26}, {24,48}, {17,38}, {23,27}, {17,47}, {18,32}, {16,27}, {8,30}, {16,40}, {21,32}, {21,47}, {14,39}, {8,43}, {5,38}, {18,38}, {15,31}, {21,37}, {24,27}, {3,43}, {3,25}, {12,38}, {10,26}, {10,33}, {12,42}, {3,37}, {13,35}, {15,48}, {19,47}, {24,30}, {7,34}, {22,32}, {2,41}, {13,47}, {24,36}, {2,28}, {23,43}, {5,32}, {20,30}, {18,34}, {18,42}, {6,29}, {2,45}, {15,45}, {15,29}, {6,47}, {2,25}, {22,45}, {6,40}, {2,36}, {9,47}, {9,29}, {19,40}, {19,30}, {15,40}, {1,44}, {4,41}, {5,29}, {8,41}, {23,45}, {5,43}, {22,35}, {7,39}, {5,25}, {24,39}, {23,34}, {7,43}, {7,25}, {20,31}, {17,33}, {21,44}, {20,33}, {23,26}, {23,41}, {12,43}, {18,30}, {4,35}, {23,35}, {18,44}, {24,45}, {20,44}, {6,46}, {11,30}, {21,25}, {15,37}, {14,42}, {5,48}, {10,42}, {19,31}, {18,26}, {1,28}, {18,47}, {4,28}, {1,33}, {10,45}, {3,29}, {22,29}, {4,46}, {8,37}, {15,36}, {17,31}, {8,26}, {5,42}, {12,26}, {12,33}, {13,30}, {10,43}, {19,46}, {8,32}, {22,39}, {1,42}, {17,25}, {12,30}, {21,29}, {14,34}, {1,39}, {17,29}, {1,25}, {22,28}, {1,46}, {16,44}, {19,36}, {6,28}, {13,27}, {10,39}, {13,46}, {24,38}, {7,28}, {20,37}, {23,40}, {4,40}, {16,36}, {8,34}, {20,26}, {11,37}, {11,27}, {10,27}, {14,44}, {4,34}, {10,36}, {3,48}, {11,32}, {2,40}, {11,40}, {9,36}, {20,47}, {22,48}, {16,46}, {15,28}, {9,39}, {13,38}, {12,48}, {9,38}, {4,25}, {11,45}, {11,48}, {20,41}, {7,45}, {14,35}, {3,41}, {3,31}, {21,34}, {9,46}, {14,46}, {12,31}, {6,37}, {17,42}, {7,35}, {13,39}, {9,31}, {21,41}, {2,43}, {6,35}, {7,42}, {19,37}, {4,44}, {14,27}, {19,27}, {24,31}, {1,36}, {22,38}, {14,26} }; // ETB48.56 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2304 EdgesBipt[48][56]:={ {6,48}, {2,44}, {3,33}, {17,44}, {4,27}, {21,48}, {23,29}, {24,48}, {21,40}, {23,27}, {18,32}, {16,27}, {11,25}, {21,32}, {22,37}, {5,38}, {12,32}, {8,28}, {18,38}, {16,31}, {15,31}, {20,27}, {8,33}, {1,27}, {3,43}, {3,25}, {1,40}, {17,34}, {12,39}, {15,44}, {9,43}, {15,48}, {2,26}, {24,30}, {8,39}, {7,34}, {7,36}, {24,44}, {2,28}, {5,32}, {8,44}, {12,37}, {16,29}, {2,42}, {23,39}, {15,25}, {2,45}, {19,28}, {23,32}, {19,33}, {22,45}, {6,40}, {6,31}, {21,46}, {14,33}, {2,34}, {2,36}, {9,47}, {10,38}, {9,29}, {19,40}, {10,47}, {17,37}, {19,26}, {9,26}, {24,37}, {12,36}, {1,44}, {4,41}, {5,29}, {8,41}, {12,46}, {23,45}, {8,45}, {7,46}, {22,35}, {9,41}, {24,42}, {4,45}, {7,43}, {11,31}, {7,25}, {23,36}, {24,25}, {21,27}, {20,33}, {6,30}, {10,29}, {10,31}, {9,34}, {24,32}, {16,37}, {10,40}, {18,30}, {3,32}, {23,37}, {15,41}, {19,42}, {13,43}, {14,47}, {6,46}, {11,30}, {12,28}, {14,42}, {1,45}, {15,34}, {17,48}, {5,48}, {8,35}, {13,28}, {23,47}, {14,37}, {18,47}, {18,36}, {1,33}, {10,45}, {20,43}, {16,48}, {13,36}, {21,38}, {17,31}, {8,26}, {5,41}, {4,36}, {19,46}, {22,39}, {1,42}, {5,44}, {20,39}, {12,30}, {21,29}, {20,25}, {17,29}, {1,25}, {22,28}, {20,46}, {22,47}, {6,28}, {22,31}, {13,46}, {1,35}, {20,35}, {13,26}, {10,35}, {3,30}, {5,33}, {11,37}, {16,35}, {18,28}, {10,27}, {4,34}, {14,32}, {19,43}, {13,41}, {6,38}, {2,40}, {11,47}, {14,43}, {15,38}, {5,26}, {18,45}, {16,46}, {16,39}, {12,48}, {9,38}, {4,25}, {3,38}, {7,27}, {20,41}, {21,36}, {3,41}, {18,40}, {17,26}, {13,34}, {19,35}, {3,47}, {11,34}, {17,42}, {13,39}, {11,43}, {15,30}, {22,30}, {9,31}, {24,33}, {6,35}, {11,42}, {4,39}, {7,40}, {7,42}, {4,44}, {14,29}, {14,26} }; // ETB48.57 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 49152 EdgesBipt[48][57]:={ {6,48}, {3,33}, {6,32}, {17,44}, {17,35}, {18,39}, {12,29}, {21,48}, {16,33}, {23,29}, {3,40}, {17,38}, {23,27}, {12,45}, {10,37}, {16,27}, {8,30}, {18,46}, {22,37}, {16,47}, {18,38}, {21,37}, {4,29}, {1,32}, {3,45}, {24,27}, {3,43}, {20,40}, {17,34}, {12,39}, {12,41}, {22,42}, {15,44}, {3,35}, {9,43}, {3,37}, {19,47}, {2,26}, {24,30}, {8,39}, {15,47}, {16,25}, {12,35}, {7,36}, {5,32}, {17,40}, {2,42}, {23,39}, {23,44}, {15,25}, {11,28}, {16,43}, {2,45}, {4,38}, {5,40}, {11,38}, {1,38}, {9,48}, {19,40}, {15,32}, {9,26}, {19,30}, {9,27}, {24,37}, {8,41}, {8,47}, {24,43}, {8,45}, {14,40}, {7,46}, {7,39}, {9,41}, {2,39}, {24,39}, {23,34}, {4,45}, {7,43}, {20,31}, {11,31}, {22,27}, {2,35}, {23,36}, {21,44}, {4,33}, {10,29}, {21,26}, {22,44}, {15,42}, {2,48}, {10,40}, {13,31}, {18,30}, {18,44}, {6,33}, {2,32}, {8,36}, {16,32}, {5,30}, {14,47}, {6,44}, {17,30}, {19,41}, {12,47}, {17,27}, {5,46}, {12,25}, {15,37}, {15,34}, {5,48}, {13,25}, {19,31}, {1,28}, {24,34}, {14,41}, {23,38}, {4,28}, {21,31}, {10,45}, {18,33}, {1,43}, {16,38}, {13,36}, {24,35}, {8,26}, {5,42}, {13,30}, {10,43}, {4,36}, {20,29}, {19,46}, {8,32}, {6,27}, {22,33}, {20,25}, {5,36}, {1,25}, {20,46}, {22,47}, {7,29}, {19,36}, {6,41}, {22,31}, {20,48}, {13,42}, {20,35}, {7,28}, {11,26}, {22,26}, {4,40}, {3,30}, {2,29}, {18,28}, {10,27}, {23,46}, {10,36}, {10,34}, {13,48}, {14,32}, {6,25}, {20,42}, {9,33}, {16,42}, {11,47}, {19,25}, {5,26}, {15,28}, {9,38}, {17,45}, {3,28}, {14,35}, {1,41}, {1,48}, {21,34}, {24,46}, {14,46}, {7,33}, {6,37}, {12,31}, {11,34}, {13,39}, {11,43}, {13,45}, {7,37}, {9,31}, {1,34}, {21,41}, {21,28}, {11,42}, {18,35}, {4,44}, {14,29}, {14,26} }; // ETB48.58 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2304 EdgesBipt[48][58]:={ {6,48}, {16,41}, {2,33}, {17,35}, {6,32}, {11,36}, {12,29}, {2,46}, {16,26}, {23,29}, {24,48}, {21,40}, {3,40}, {17,47}, {4,30}, {11,25}, {8,30}, {18,46}, {21,32}, {22,37}, {9,45}, {5,38}, {7,38}, {8,28}, {16,31}, {15,31}, {21,37}, {1,32}, {23,28}, {3,25}, {12,38}, {7,44}, {1,40}, {10,26}, {17,34}, {15,44}, {10,33}, {21,42}, {2,26}, {24,30}, {15,47}, {19,48}, {21,43}, {24,36}, {18,41}, {23,43}, {8,44}, {17,46}, {13,29}, {2,42}, {11,28}, {16,43}, {6,29}, {15,45}, {19,33}, {3,34}, {20,38}, {11,38}, {3,46}, {14,33}, {9,47}, {10,47}, {1,44}, {12,46}, {8,47}, {23,45}, {5,43}, {12,44}, {19,29}, {14,30}, {22,35}, {22,41}, {9,41}, {17,39}, {7,32}, {10,41}, {23,34}, {4,45}, {7,25}, {20,31}, {22,27}, {2,35}, {21,27}, {6,43}, {10,29}, {21,26}, {22,44}, {9,34}, {2,48}, {16,37}, {24,26}, {18,30}, {9,25}, {14,48}, {24,45}, {20,44}, {6,46}, {12,47}, {4,48}, {15,37}, {20,28}, {19,31}, {1,28}, {23,47}, {14,37}, {18,47}, {23,38}, {4,28}, {4,43}, {10,45}, {18,33}, {13,36}, {5,42}, {12,33}, {24,40}, {24,41}, {12,27}, {8,32}, {5,31}, {17,25}, {6,27}, {11,39}, {20,39}, {18,25}, {17,29}, {20,25}, {1,25}, {19,45}, {22,31}, {9,30}, {10,39}, {13,42}, {1,37}, {5,39}, {20,35}, {4,37}, {13,26}, {22,26}, {10,35}, {16,36}, {3,30}, {8,34}, {2,29}, {8,38}, {14,44}, {4,34}, {3,48}, {11,32}, {13,48}, {14,32}, {15,33}, {19,43}, {6,38}, {2,40}, {9,36}, {6,34}, {5,27}, {5,26}, {15,28}, {16,39}, {3,42}, {9,39}, {7,27}, {20,41}, {8,46}, {22,40}, {1,41}, {21,36}, {23,31}, {18,40}, {14,46}, {12,31}, {13,34}, {17,42}, {7,35}, {13,39}, {11,43}, {13,45}, {15,30}, {5,35}, {24,33}, {11,42}, {3,36}, {18,35}, {16,28}, {7,40}, {7,42}, {19,37}, {14,27}, {4,32}, {19,27}, {1,36} }; // ETB48.59 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2304 EdgesBipt[48][59]:={ {13,32}, {9,28}, {17,35}, {12,29}, {2,46}, {21,45}, {11,35}, {18,48}, {21,48}, {18,29}, {23,29}, {3,40}, {17,38}, {12,45}, {4,30}, {11,25}, {16,27}, {8,30}, {18,46}, {8,43}, {5,38}, {16,47}, {20,27}, {22,46}, {3,45}, {8,33}, {24,27}, {1,27}, {3,25}, {7,41}, {10,26}, {9,44}, {4,31}, {22,42}, {15,44}, {12,42}, {3,35}, {2,26}, {23,48}, {2,41}, {13,47}, {24,36}, {5,32}, {17,40}, {9,35}, {20,30}, {8,27}, {13,29}, {16,29}, {18,34}, {23,39}, {18,37}, {10,30}, {19,28}, {4,38}, {3,34}, {10,48}, {11,33}, {6,31}, {6,40}, {2,34}, {2,36}, {19,40}, {9,32}, {15,32}, {9,26}, {12,36}, {1,44}, {5,29}, {8,47}, {24,43}, {14,30}, {14,40}, {8,45}, {7,39}, {7,32}, {15,26}, {1,31}, {10,41}, {7,43}, {7,25}, {20,31}, {23,36}, {24,25}, {15,27}, {21,27}, {21,44}, {4,33}, {23,41}, {9,42}, {16,37}, {17,43}, {15,41}, {18,44}, {13,33}, {19,42}, {16,32}, {13,43}, {14,47}, {6,44}, {11,30}, {9,37}, {12,47}, {4,48}, {12,25}, {23,25}, {14,42}, {5,48}, {13,28}, {19,31}, {10,46}, {4,28}, {4,43}, {21,31}, {20,43}, {3,29}, {4,46}, {15,36}, {5,28}, {21,38}, {18,31}, {12,33}, {24,40}, {24,41}, {17,28}, {16,45}, {8,32}, {22,39}, {1,42}, {11,39}, {5,44}, {6,26}, {22,33}, {12,40}, {14,34}, {1,39}, {21,30}, {1,25}, {16,44}, {17,41}, {20,46}, {22,47}, {6,28}, {10,39}, {13,46}, {24,38}, {1,37}, {16,34}, {20,37}, {6,42}, {14,45}, {22,26}, {10,35}, {6,36}, {5,33}, {2,29}, {18,28}, {8,38}, {20,34}, {23,33}, {23,46}, {3,48}, {10,34}, {19,43}, {2,47}, {6,38}, {2,40}, {20,47}, {15,38}, {19,25}, {9,39}, {11,45}, {11,48}, {7,27}, {14,35}, {13,37}, {5,45}, {3,41}, {15,39}, {21,34}, {17,26}, {19,35}, {7,35}, {7,37}, {22,30}, {22,36}, {17,32}, {11,42}, {19,37}, {24,31}, {1,36}, {14,26} }; // ETB48.60 // Bipartite(24,24) Valencies [8,8] // Diameter 6 Girth 4 // Has twins VT AT // Automorphism group of order 876488338465357824 EdgesBipt[48][60]:={ {6,48}, {2,44}, {3,33}, {17,35}, {4,27}, {12,29}, {21,45}, {11,35}, {5,34}, {18,48}, {16,33}, {18,29}, {23,29}, {24,48}, {17,47}, {16,27}, {16,40}, {21,32}, {7,48}, {8,43}, {9,45}, {22,46}, {3,45}, {23,28}, {17,34}, {14,38}, {9,44}, {12,41}, {15,44}, {10,33}, {12,42}, {5,47}, {14,31}, {2,26}, {24,30}, {11,41}, {19,48}, {12,35}, {7,36}, {8,25}, {24,36}, {1,30}, {18,41}, {17,40}, {8,44}, {17,46}, {8,31}, {18,42}, {11,28}, {6,29}, {15,45}, {6,47}, {2,25}, {5,40}, {20,38}, {22,45}, {9,32}, {15,32}, {9,26}, {19,30}, {9,27}, {22,34}, {12,36}, {5,29}, {2,38}, {2,37}, {15,26}, {24,42}, {1,31}, {23,34}, {4,45}, {7,43}, {10,28}, {7,25}, {20,31}, {22,27}, {15,27}, {21,27}, {21,44}, {3,44}, {6,30}, {4,33}, {23,41}, {21,26}, {10,40}, {7,30}, {3,39}, {13,31}, {18,30}, {3,32}, {24,47}, {23,35}, {2,32}, {19,42}, {13,43}, {11,29}, {20,44}, {12,47}, {5,46}, {13,25}, {19,31}, {23,47}, {3,27}, {14,37}, {18,47}, {10,46}, {18,36}, {4,28}, {10,45}, {20,43}, {1,43}, {3,26}, {4,46}, {8,37}, {21,33}, {5,28}, {13,36}, {21,38}, {24,35}, {8,26}, {7,31}, {24,41}, {13,30}, {5,41}, {21,39}, {17,28}, {16,45}, {8,32}, {22,39}, {1,42}, {22,33}, {12,30}, {17,29}, {20,25}, {1,25}, {22,28}, {11,46}, {17,41}, {19,36}, {6,41}, {10,39}, {13,42}, {1,37}, {16,34}, {14,25}, {20,37}, {6,42}, {23,40}, {4,40}, {6,36}, {20,26}, {10,27}, {8,38}, {14,44}, {4,34}, {23,46}, {10,34}, {13,48}, {14,32}, {15,33}, {19,43}, {2,31}, {11,40}, {9,33}, {11,47}, {14,43}, {15,38}, {19,25}, {16,46}, {16,39}, {9,39}, {12,48}, {9,38}, {3,38}, {24,29}, {22,40}, {13,37}, {1,48}, {15,39}, {11,34}, {7,37}, {5,35}, {2,43}, {6,35}, {4,39}, {18,35}, {16,28}, {7,42}, {19,37}, {20,32}, {1,36}, {14,26} }; // ETB48.61 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37572373905408 EdgesBipt[48][61]:={ {2,44}, {16,41}, {6,32}, {17,36}, {11,36}, {2,46}, {16,26}, {4,26}, {15,46}, {12,45}, {18,32}, {11,25}, {16,40}, {12,32}, {4,29}, {1,27}, {10,26}, {14,38}, {21,42}, {13,35}, {19,47}, {2,26}, {23,48}, {24,44}, {13,47}, {8,44}, {16,29}, {15,29}, {4,38}, {3,34}, {20,38}, {3,46}, {10,48}, {11,33}, {6,31}, {6,40}, {21,46}, {2,34}, {10,38}, {9,29}, {17,37}, {9,27}, {4,41}, {2,38}, {8,47}, {24,43}, {23,45}, {12,44}, {7,39}, {22,41}, {9,41}, {5,25}, {1,31}, {10,41}, {7,43}, {10,28}, {7,25}, {2,35}, {17,33}, {23,36}, {15,27}, {21,27}, {6,43}, {10,29}, {9,34}, {15,42}, {24,32}, {9,42}, {10,40}, {12,43}, {3,39}, {13,31}, {23,37}, {23,42}, {15,41}, {18,44}, {6,33}, {2,32}, {18,43}, {13,43}, {24,45}, {20,44}, {5,30}, {14,47}, {6,44}, {17,30}, {11,30}, {4,48}, {12,28}, {23,25}, {15,34}, {17,48}, {5,48}, {13,25}, {8,35}, {19,31}, {3,27}, {4,28}, {18,33}, {3,29}, {16,48}, {22,29}, {1,43}, {16,38}, {8,26}, {18,31}, {5,42}, {7,31}, {12,33}, {24,40}, {4,36}, {21,39}, {7,47}, {8,32}, {17,25}, {12,40}, {21,29}, {14,34}, {1,39}, {21,30}, {5,36}, {1,25}, {22,28}, {20,46}, {6,28}, {9,30}, {13,27}, {1,35}, {1,37}, {20,35}, {22,26}, {4,40}, {16,36}, {3,30}, {5,33}, {8,34}, {20,26}, {11,37}, {18,28}, {6,45}, {20,34}, {8,38}, {23,33}, {14,44}, {10,36}, {14,32}, {19,39}, {19,43}, {2,47}, {1,47}, {20,47}, {22,48}, {19,25}, {18,45}, {3,42}, {9,39}, {17,45}, {11,45}, {11,48}, {7,27}, {8,46}, {14,35}, {22,40}, {13,37}, {5,45}, {3,41}, {15,39}, {21,34}, {18,40}, {9,46}, {14,46}, {12,31}, {17,42}, {19,35}, {7,35}, {13,39}, {15,30}, {7,37}, {22,36}, {5,37}, {21,41}, {24,33}, {11,42}, {16,28}, {19,37}, {20,32}, {19,27}, {24,28}, {24,31}, {22,38}, {14,26}, {23,30} }; // ETB48.62 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 12884901888 EdgesBipt[48][62]:={ {13,32}, {9,28}, {2,33}, {17,36}, {11,36}, {2,46}, {21,45}, {11,35}, {16,33}, {16,26}, {18,29}, {4,26}, {21,40}, {15,46}, {21,47}, {7,48}, {8,43}, {9,45}, {7,38}, {20,27}, {22,46}, {1,32}, {8,33}, {12,38}, {7,41}, {22,42}, {15,44}, {3,35}, {21,35}, {8,39}, {15,47}, {19,48}, {16,25}, {7,36}, {23,48}, {12,34}, {18,41}, {17,40}, {9,35}, {8,44}, {8,31}, {8,27}, {13,29}, {2,42}, {23,44}, {18,37}, {10,30}, {6,29}, {2,45}, {23,32}, {4,38}, {6,47}, {3,34}, {5,40}, {2,25}, {3,46}, {6,40}, {14,33}, {2,34}, {9,47}, {19,26}, {15,32}, {9,27}, {22,34}, {1,44}, {12,46}, {24,43}, {2,37}, {5,43}, {19,29}, {14,30}, {8,45}, {7,39}, {22,41}, {15,26}, {1,31}, {10,41}, {4,45}, {20,31}, {22,27}, {11,44}, {23,36}, {21,27}, {19,38}, {3,44}, {20,33}, {4,33}, {10,29}, {16,37}, {17,43}, {12,43}, {1,29}, {24,26}, {13,31}, {3,32}, {23,42}, {23,35}, {7,26}, {13,43}, {20,44}, {13,44}, {5,30}, {17,30}, {19,41}, {15,35}, {11,30}, {4,48}, {12,28}, {14,42}, {15,34}, {17,48}, {5,48}, {13,25}, {10,42}, {20,45}, {24,34}, {23,47}, {14,37}, {18,47}, {10,46}, {20,43}, {16,48}, {22,29}, {1,43}, {16,38}, {3,26}, {21,33}, {5,28}, {17,31}, {5,42}, {12,26}, {24,40}, {4,36}, {21,39}, {17,28}, {9,40}, {16,45}, {8,32}, {22,39}, {5,31}, {12,40}, {20,39}, {14,34}, {18,25}, {5,36}, {1,25}, {7,29}, {19,36}, {6,41}, {6,28}, {10,39}, {24,38}, {1,37}, {14,25}, {4,37}, {14,45}, {16,36}, {18,28}, {10,27}, {10,34}, {11,32}, {19,39}, {13,41}, {6,25}, {9,33}, {11,47}, {15,38}, {9,39}, {4,25}, {3,38}, {11,48}, {7,27}, {1,41}, {13,37}, {18,40}, {24,46}, {14,46}, {12,31}, {6,37}, {17,42}, {3,47}, {2,30}, {22,30}, {21,28}, {6,35}, {11,42}, {18,35}, {20,32}, {19,27}, {24,28}, {24,31}, {23,30} }; // ETB48.63 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 1610612736 EdgesBipt[48][63]:={ {6,48}, {3,33}, {16,41}, {10,25}, {6,32}, {18,48}, {16,26}, {4,26}, {3,40}, {12,45}, {10,37}, {18,32}, {11,25}, {8,30}, {18,46}, {21,32}, {22,37}, {21,47}, {8,42}, {19,44}, {4,29}, {20,27}, {3,45}, {7,41}, {7,44}, {14,38}, {9,44}, {10,33}, {21,35}, {9,43}, {15,48}, {19,47}, {14,31}, {2,26}, {8,39}, {21,43}, {12,35}, {8,25}, {2,41}, {2,28}, {23,43}, {17,40}, {14,28}, {9,35}, {20,30}, {8,27}, {16,29}, {18,34}, {18,42}, {15,45}, {4,38}, {5,40}, {22,45}, {11,38}, {21,46}, {1,38}, {9,47}, {10,47}, {9,32}, {15,40}, {5,29}, {4,41}, {2,38}, {24,43}, {19,29}, {14,40}, {22,35}, {7,39}, {17,39}, {7,32}, {23,34}, {11,31}, {22,27}, {21,44}, {6,30}, {23,26}, {9,34}, {15,42}, {12,43}, {18,30}, {23,37}, {24,47}, {18,44}, {13,33}, {16,32}, {24,45}, {5,30}, {6,44}, {17,30}, {19,41}, {6,46}, {12,47}, {17,27}, {4,48}, {12,28}, {23,25}, {1,45}, {13,25}, {14,41}, {23,38}, {18,36}, {1,33}, {21,31}, {10,45}, {16,48}, {16,38}, {8,37}, {15,36}, {13,36}, {5,28}, {24,35}, {5,42}, {12,33}, {24,40}, {5,41}, {4,36}, {7,47}, {17,28}, {22,25}, {22,39}, {22,33}, {12,40}, {20,39}, {17,29}, {20,25}, {1,25}, {11,46}, {16,44}, {17,41}, {20,46}, {22,47}, {7,29}, {10,39}, {1,37}, {5,39}, {19,32}, {20,37}, {13,26}, {6,42}, {11,26}, {10,35}, {16,36}, {6,36}, {3,30}, {8,34}, {11,37}, {2,29}, {10,27}, {20,34}, {1,26}, {23,46}, {3,48}, {13,48}, {15,33}, {19,39}, {20,42}, {2,40}, {2,31}, {6,34}, {14,43}, {5,27}, {15,28}, {3,42}, {13,38}, {3,28}, {7,27}, {8,46}, {13,37}, {23,31}, {1,48}, {21,34}, {9,46}, {12,31}, {17,42}, {11,34}, {19,35}, {7,35}, {11,43}, {13,45}, {15,30}, {9,31}, {2,43}, {24,33}, {3,36}, {4,44}, {4,32}, {19,27}, {24,28}, {24,31}, {1,36}, {14,29}, {14,26} }; // ETB48.64 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 1610612736 EdgesBipt[48][64]:={ {3,33}, {16,41}, {10,25}, {13,32}, {9,28}, {6,32}, {16,26}, {4,26}, {23,29}, {24,48}, {21,40}, {17,38}, {23,27}, {12,45}, {10,37}, {18,32}, {8,30}, {21,32}, {22,37}, {7,48}, {14,39}, {5,38}, {8,42}, {15,31}, {4,29}, {1,32}, {3,45}, {8,33}, {3,43}, {7,41}, {9,44}, {2,27}, {12,42}, {21,42}, {3,35}, {15,48}, {19,47}, {14,31}, {24,30}, {22,32}, {11,41}, {15,47}, {19,48}, {7,36}, {15,43}, {10,44}, {24,36}, {2,28}, {12,34}, {23,43}, {17,40}, {14,28}, {20,30}, {16,29}, {23,39}, {15,45}, {4,38}, {6,47}, {2,25}, {5,40}, {20,38}, {11,33}, {6,31}, {6,40}, {21,46}, {1,38}, {10,47}, {17,37}, {9,32}, {12,36}, {1,44}, {4,41}, {8,41}, {12,46}, {2,37}, {23,45}, {19,29}, {8,45}, {14,40}, {22,35}, {7,39}, {5,25}, {2,39}, {24,42}, {11,31}, {22,27}, {21,44}, {20,33}, {6,43}, {23,41}, {22,44}, {9,34}, {9,42}, {18,44}, {18,43}, {24,45}, {11,29}, {13,44}, {5,30}, {6,44}, {17,30}, {19,41}, {15,35}, {4,48}, {13,25}, {20,45}, {24,34}, {14,37}, {18,47}, {16,48}, {4,46}, {16,38}, {15,36}, {5,28}, {8,26}, {18,31}, {5,42}, {12,33}, {4,36}, {7,47}, {17,28}, {20,29}, {9,40}, {22,25}, {22,39}, {17,25}, {11,39}, {12,30}, {10,32}, {21,30}, {1,25}, {1,46}, {22,47}, {7,29}, {19,36}, {6,28}, {9,30}, {10,39}, {13,46}, {1,37}, {16,34}, {14,25}, {13,26}, {10,35}, {16,36}, {20,26}, {11,27}, {18,28}, {10,27}, {8,38}, {1,26}, {23,33}, {4,34}, {3,48}, {15,33}, {19,39}, {20,42}, {2,40}, {2,31}, {14,43}, {5,26}, {16,46}, {13,38}, {12,48}, {11,45}, {7,27}, {20,41}, {13,37}, {23,31}, {3,31}, {21,34}, {18,40}, {9,46}, {17,26}, {24,46}, {13,34}, {3,47}, {17,42}, {19,35}, {7,35}, {11,43}, {1,34}, {5,37}, {2,43}, {21,28}, {24,33}, {6,35}, {3,36}, {18,35}, {14,27}, {8,29}, {19,27} }; // ETB48.65 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3145728 EdgesBipt[48][65]:={ {8,48}, {3,33}, {16,41}, {10,25}, {6,32}, {17,36}, {12,29}, {11,35}, {21,48}, {16,33}, {24,48}, {21,40}, {15,46}, {10,37}, {18,32}, {18,46}, {22,37}, {14,39}, {8,43}, {16,47}, {8,42}, {18,38}, {24,27}, {3,43}, {7,41}, {10,26}, {12,41}, {15,44}, {3,35}, {14,31}, {7,34}, {12,35}, {15,43}, {23,48}, {13,47}, {2,28}, {5,32}, {14,28}, {8,44}, {23,39}, {23,44}, {10,30}, {4,38}, {22,45}, {3,46}, {6,40}, {1,38}, {2,34}, {9,48}, {9,29}, {17,37}, {15,32}, {19,30}, {5,29}, {4,41}, {8,47}, {24,43}, {23,45}, {5,43}, {8,45}, {14,40}, {7,46}, {4,42}, {9,41}, {2,39}, {15,26}, {23,34}, {22,27}, {2,35}, {11,44}, {24,25}, {15,27}, {3,44}, {6,30}, {4,47}, {4,33}, {10,31}, {17,43}, {12,43}, {7,30}, {18,30}, {3,32}, {9,25}, {23,35}, {8,36}, {2,32}, {13,33}, {18,44}, {19,42}, {20,44}, {6,44}, {19,41}, {6,46}, {15,35}, {21,25}, {12,25}, {13,25}, {13,28}, {20,45}, {18,26}, {19,31}, {1,28}, {23,47}, {3,27}, {18,36}, {4,28}, {1,33}, {10,45}, {20,43}, {4,46}, {16,38}, {3,26}, {8,37}, {5,28}, {21,38}, {24,35}, {17,31}, {5,42}, {7,31}, {12,33}, {24,41}, {17,28}, {12,27}, {19,46}, {9,40}, {22,25}, {22,39}, {5,31}, {11,39}, {6,26}, {21,29}, {14,34}, {1,39}, {21,30}, {17,29}, {5,36}, {1,25}, {19,45}, {22,31}, {9,30}, {10,39}, {20,48}, {1,37}, {16,34}, {20,37}, {13,26}, {23,40}, {22,26}, {6,36}, {2,29}, {10,27}, {1,26}, {4,34}, {15,33}, {14,32}, {20,42}, {1,47}, {6,38}, {2,40}, {2,31}, {11,40}, {16,42}, {9,36}, {20,36}, {20,47}, {11,47}, {16,46}, {13,38}, {12,48}, {9,38}, {24,29}, {11,45}, {11,48}, {7,27}, {7,45}, {14,35}, {13,37}, {21,36}, {18,40}, {17,42}, {11,34}, {13,39}, {19,34}, {22,30}, {5,37}, {21,41}, {24,33}, {17,32}, {16,28}, {7,42}, {19,27}, {14,29} }; // ETB48.66 // Bipartite(24,24) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3145728 EdgesBipt[48][66]:={ {8,48}, {16,41}, {10,25}, {17,44}, {18,39}, {11,35}, {13,40}, {16,33}, {18,29}, {15,46}, {18,46}, {7,48}, {8,43}, {12,32}, {16,31}, {12,38}, {20,40}, {7,41}, {1,40}, {10,26}, {14,38}, {9,44}, {4,31}, {12,42}, {3,35}, {14,31}, {24,30}, {8,39}, {7,34}, {15,47}, {19,48}, {23,48}, {24,44}, {2,28}, {18,41}, {5,32}, {14,28}, {8,44}, {17,46}, {23,39}, {16,43}, {10,30}, {6,29}, {22,45}, {11,38}, {3,46}, {2,34}, {9,29}, {15,32}, {19,30}, {22,34}, {5,29}, {4,41}, {2,38}, {8,47}, {2,37}, {5,43}, {12,44}, {8,45}, {4,42}, {9,41}, {15,26}, {24,42}, {23,34}, {10,28}, {22,27}, {2,35}, {15,27}, {21,44}, {4,33}, {15,42}, {24,32}, {16,37}, {10,40}, {17,43}, {7,30}, {24,26}, {3,32}, {23,37}, {24,47}, {9,25}, {23,35}, {13,33}, {2,32}, {19,42}, {13,43}, {20,44}, {19,41}, {6,46}, {15,35}, {21,25}, {12,47}, {4,48}, {5,46}, {13,25}, {13,28}, {20,45}, {19,31}, {18,27}, {1,28}, {23,47}, {3,27}, {14,37}, {23,38}, {18,36}, {4,43}, {1,33}, {10,45}, {20,43}, {16,48}, {1,43}, {3,26}, {21,33}, {15,36}, {13,36}, {5,28}, {21,38}, {17,31}, {12,26}, {7,31}, {12,33}, {4,36}, {21,39}, {17,28}, {22,25}, {5,31}, {6,27}, {11,39}, {5,44}, {8,40}, {20,39}, {12,30}, {21,29}, {14,34}, {18,25}, {21,30}, {17,29}, {1,25}, {22,28}, {19,45}, {20,46}, {6,41}, {9,30}, {20,48}, {24,38}, {1,37}, {4,37}, {13,26}, {23,40}, {22,26}, {16,36}, {6,36}, {11,37}, {2,29}, {10,27}, {1,26}, {10,34}, {14,32}, {6,25}, {2,31}, {11,40}, {9,33}, {16,42}, {20,47}, {11,47}, {3,42}, {9,39}, {9,38}, {17,45}, {11,48}, {7,27}, {7,45}, {14,35}, {8,46}, {22,40}, {13,37}, {5,45}, {6,39}, {11,34}, {3,47}, {19,34}, {22,30}, {21,41}, {24,33}, {6,35}, {17,32}, {3,36}, {18,35}, {7,42}, {19,27}, {1,36}, {14,29} }; // ETB48.67 // Bipartite(24,24) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT Non-AT // Automorphism group of order 384 EdgesBipt[48][67]:={ {8,48}, {16,41}, {6,32}, {17,35}, {17,36}, {21,45}, {5,34}, {13,40}, {16,26}, {18,29}, {23,29}, {3,40}, {17,38}, {18,32}, {4,30}, {11,25}, {21,32}, {21,47}, {7,48}, {8,43}, {9,45}, {5,38}, {7,38}, {8,28}, {19,44}, {4,29}, {3,45}, {1,27}, {3,43}, {23,28}, {17,34}, {9,44}, {12,39}, {22,42}, {2,27}, {3,35}, {19,47}, {14,31}, {22,32}, {12,35}, {23,48}, {10,44}, {13,47}, {24,36}, {17,40}, {20,30}, {8,27}, {13,29}, {2,42}, {18,34}, {16,43}, {18,37}, {10,30}, {16,30}, {15,45}, {19,28}, {15,29}, {3,34}, {2,25}, {20,38}, {11,33}, {6,40}, {21,46}, {14,36}, {9,26}, {19,30}, {12,36}, {4,41}, {12,46}, {8,47}, {2,37}, {14,40}, {2,39}, {7,32}, {15,26}, {24,39}, {4,45}, {7,43}, {11,31}, {10,28}, {7,25}, {22,27}, {2,35}, {17,33}, {23,36}, {21,27}, {6,30}, {4,33}, {23,41}, {21,26}, {22,44}, {9,34}, {9,42}, {2,48}, {7,30}, {3,39}, {4,35}, {23,42}, {24,47}, {9,25}, {15,41}, {18,44}, {18,43}, {11,29}, {14,47}, {6,44}, {12,28}, {15,37}, {14,42}, {20,28}, {13,28}, {10,42}, {20,45}, {14,41}, {10,46}, {4,43}, {1,33}, {21,31}, {10,45}, {18,33}, {3,29}, {3,26}, {22,43}, {21,38}, {8,26}, {7,31}, {12,33}, {24,40}, {5,41}, {7,47}, {12,27}, {19,46}, {11,39}, {5,44}, {10,32}, {20,25}, {5,36}, {1,25}, {1,46}, {16,44}, {11,46}, {22,31}, {13,27}, {1,35}, {20,48}, {13,42}, {1,37}, {14,25}, {22,26}, {16,36}, {6,36}, {8,34}, {5,33}, {11,37}, {16,35}, {10,27}, {8,38}, {20,34}, {23,33}, {19,43}, {13,41}, {20,42}, {1,47}, {6,38}, {2,40}, {22,48}, {15,38}, {19,25}, {5,26}, {16,39}, {12,48}, {17,45}, {24,29}, {11,48}, {14,35}, {1,41}, {13,37}, {23,31}, {15,39}, {18,40}, {9,46}, {24,46}, {6,39}, {6,37}, {15,30}, {19,34}, {9,31}, {5,37}, {17,32}, {4,32}, {24,28}, {24,31} }; // ETB48.68 // Bipartite(12,36) Valencies [9,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[48][68]:={ {1,15}, {10,19}, {11,43}, {7,42}, {9,40}, {6,48}, {5,14}, {12,48}, {11,17}, {8,31}, {2,38}, {6,18}, {12,39}, {4,14}, {9,42}, {6,36}, {10,27}, {7,24}, {9,45}, {11,29}, {2,20}, {1,25}, {12,15}, {12,17}, {12,40}, {7,33}, {2,37}, {3,32}, {7,31}, {9,39}, {11,16}, {11,38}, {1,32}, {6,40}, {12,27}, {5,13}, {2,15}, {5,26}, {4,26}, {8,41}, {6,22}, {10,23}, {3,48}, {8,44}, {7,28}, {3,41}, {2,14}, {9,38}, {4,37}, {6,47}, {4,46}, {1,22}, {10,13}, {4,33}, {8,18}, {10,41}, {9,34}, {10,16}, {7,25}, {3,23}, {10,33}, {1,19}, {4,36}, {4,21}, {2,35}, {3,47}, {5,28}, {12,35}, {8,19}, {7,35}, {12,24}, {11,36}, {2,43}, {1,23}, {6,30}, {8,43}, {7,44}, {8,32}, {4,22}, {5,20}, {3,26}, {5,31}, {5,17}, {11,21}, {11,30}, {9,46}, {11,27}, {3,39}, {10,42}, {9,47}, {9,29}, {8,45}, {3,20}, {2,25}, {3,37}, {5,18}, {6,44}, {4,34}, {10,46}, {7,34}, {1,30}, {5,16}, {1,21}, {12,13}, {1,24}, {8,29}, {2,45}, {6,28} }; // ETB48.69 // Bipartite(12,36) Valencies [9,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 156728328192 EdgesBipt[48][69]:={ {11,43}, {7,39}, {6,48}, {10,21}, {5,14}, {11,17}, {6,14}, {6,36}, {7,40}, {12,16}, {4,48}, {11,29}, {10,38}, {11,42}, {1,25}, {12,40}, {2,47}, {2,37}, {3,32}, {10,40}, {9,39}, {8,46}, {7,27}, {1,44}, {12,18}, {1,32}, {7,15}, {8,34}, {5,13}, {3,45}, {10,45}, {3,31}, {5,26}, {3,19}, {5,37}, {8,22}, {7,28}, {6,43}, {12,30}, {9,27}, {2,23}, {7,41}, {8,33}, {4,46}, {8,47}, {2,36}, {8,21}, {9,34}, {7,29}, {2,13}, {10,16}, {4,29}, {5,15}, {8,35}, {6,26}, {10,33}, {11,18}, {12,28}, {4,36}, {4,17}, {2,35}, {12,35}, {9,15}, {12,23}, {2,24}, {6,31}, {11,41}, {9,44}, {6,19}, {5,38}, {2,48}, {5,27}, {10,28}, {11,19}, {6,38}, {4,22}, {10,14}, {11,31}, {8,23}, {1,42}, {7,16}, {3,21}, {11,30}, {9,46}, {3,44}, {1,37}, {1,20}, {12,42}, {1,13}, {12,47}, {8,45}, {3,20}, {2,25}, {9,32}, {6,24}, {10,26}, {3,43}, {4,34}, {4,41}, {3,33}, {7,17}, {1,30}, {5,39}, {1,18}, {5,25}, {4,24}, {9,20}, {9,22} }; // ETB48.70 // Bipartite(24,24) Valencies [9,9] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 270826551115776 EdgesBipt[48][70]:={ {6,48}, {8,48}, {2,44}, {3,33}, {16,41}, {13,32}, {6,32}, {4,27}, {2,46}, {5,34}, {13,40}, {21,48}, {16,33}, {23,29}, {24,48}, {21,40}, {17,38}, {23,27}, {4,30}, {11,25}, {16,40}, {18,46}, {21,32}, {22,37}, {14,39}, {9,45}, {8,28}, {18,38}, {20,27}, {8,33}, {23,28}, {3,25}, {12,38}, {7,44}, {10,26}, {12,39}, {4,31}, {15,44}, {21,42}, {21,35}, {13,35}, {19,47}, {14,31}, {2,26}, {22,32}, {11,41}, {21,43}, {16,25}, {12,35}, {7,36}, {15,43}, {24,44}, {10,44}, {8,25}, {24,36}, {2,28}, {1,30}, {23,43}, {5,32}, {20,30}, {8,44}, {17,46}, {2,42}, {18,34}, {23,44}, {18,42}, {10,30}, {6,29}, {15,45}, {15,29}, {4,38}, {19,33}, {6,47}, {3,34}, {5,40}, {20,38}, {22,45}, {11,33}, {6,31}, {6,40}, {1,38}, {2,34}, {2,36}, {10,38}, {9,29}, {17,37}, {19,26}, {8,41}, {2,38}, {12,46}, {23,45}, {5,43}, {14,40}, {9,41}, {7,43}, {11,31}, {10,28}, {20,31}, {17,33}, {23,36}, {24,25}, {15,27}, {21,27}, {4,47}, {21,26}, {24,32}, {12,43}, {1,29}, {3,39}, {18,30}, {4,35}, {23,37}, {9,25}, {23,35}, {8,36}, {14,48}, {18,44}, {19,42}, {16,32}, {13,43}, {14,47}, {17,30}, {19,41}, {15,35}, {9,37}, {12,47}, {15,37}, {1,45}, {5,48}, {10,42}, {18,26}, {19,31}, {14,37}, {10,46}, {18,36}, {4,43}, {1,33}, {20,43}, {16,48}, {22,29}, {4,46}, {3,26}, {15,36}, {5,42}, {24,40}, {24,41}, {12,27}, {8,32}, {22,39}, {17,25}, {11,39}, {8,40}, {20,39}, {12,30}, {17,29}, {1,25}, {1,46}, {16,44}, {17,41}, {20,46}, {22,47}, {7,29}, {22,31}, {9,30}, {13,27}, {13,42}, {1,37}, {20,35}, {7,28}, {13,26}, {11,26}, {14,45}, {16,36}, {18,28}, {6,45}, {10,36}, {10,34}, {13,48}, {14,32}, {19,39}, {9,33}, {20,47}, {11,47}, {22,48}, {5,27}, {19,25}, {5,26}, {15,28}, {3,42}, {9,38}, {17,45}, {7,27}, {7,45}, {22,40}, {1,41}, {3,41}, {3,31}, {21,34}, {9,46}, {6,39}, {12,31}, {6,37}, {13,34}, {3,47}, {11,34}, {7,35}, {2,30}, {19,34}, {7,37}, {5,35}, {24,33}, {11,42}, {4,39}, {16,28}, {24,28}, {14,29} }; // ETB48.71 // Bipartite(8,40) Valencies [10,2] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 687970713600000000 EdgesBipt[48][71]:={ {2,11}, {3,22}, {5,12}, {1,26}, {7,47}, {5,36}, {7,16}, {2,26}, {5,37}, {3,46}, {6,39}, {4,36}, {4,44}, {5,29}, {7,23}, {2,10}, {7,31}, {8,9}, {1,33}, {8,16}, {1,10}, {6,14}, {4,11}, {3,21}, {2,43}, {6,31}, {6,46}, {8,25}, {3,38}, {4,43}, {6,30}, {8,24}, {3,37}, {5,44}, {3,29}, {6,15}, {8,32}, {5,21}, {4,12}, {5,20}, {7,32}, {8,40}, {8,48}, {7,40}, {8,33}, {7,48}, {4,27}, {2,18}, {5,28}, {4,20}, {5,45}, {6,38}, {3,30}, {7,15}, {3,14}, {1,18}, {8,41}, {4,28}, {2,27}, {1,17}, {3,45}, {2,42}, {6,22}, {2,19}, {1,42}, {3,13}, {7,39}, {2,35}, {2,34}, {5,13}, {1,9}, {1,41}, {6,47}, {4,35}, {1,34}, {4,19}, {1,25}, {8,17}, {6,23}, {7,24} }; // ETB48.72 // Bipartite(16,32) Valencies [10,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 320 EdgesBipt[48][72]:={ {6,48}, {2,44}, {10,25}, {5,17}, {4,27}, {2,46}, {14,19}, {4,24}, {10,37}, {4,30}, {11,25}, {16,40}, {7,48}, {6,17}, {12,22}, {12,32}, {8,42}, {16,31}, {3,45}, {1,27}, {3,43}, {14,38}, {2,19}, {10,33}, {3,35}, {5,20}, {3,37}, {7,36}, {13,47}, {2,28}, {1,30}, {14,28}, {8,31}, {13,29}, {16,29}, {3,18}, {16,43}, {2,45}, {15,45}, {16,30}, {15,29}, {6,47}, {6,21}, {2,25}, {3,46}, {11,33}, {14,33}, {1,17}, {9,48}, {2,36}, {9,47}, {10,47}, {15,32}, {9,26}, {15,40}, {4,41}, {8,41}, {2,38}, {12,44}, {14,40}, {4,42}, {5,25}, {15,26}, {10,41}, {7,43}, {7,25}, {1,22}, {6,43}, {9,34}, {15,42}, {10,21}, {12,43}, {1,29}, {7,30}, {3,39}, {13,33}, {14,48}, {16,32}, {11,23}, {13,44}, {6,46}, {11,30}, {15,35}, {5,24}, {12,47}, {5,46}, {13,23}, {14,42}, {15,20}, {9,20}, {1,28}, {3,27}, {4,28}, {1,33}, {10,45}, {3,26}, {5,28}, {13,36}, {8,26}, {12,26}, {16,22}, {9,22}, {7,31}, {5,41}, {12,27}, {8,21}, {3,19}, {12,23}, {14,22}, {5,31}, {11,24}, {5,44}, {12,19}, {8,23}, {10,32}, {16,44}, {13,27}, {1,35}, {14,20}, {15,21}, {5,39}, {16,17}, {4,37}, {7,23}, {6,36}, {8,34}, {10,17}, {11,37}, {8,38}, {4,34}, {11,32}, {13,41}, {2,40}, {6,34}, {8,18}, {4,18}, {16,39}, {13,38}, {9,38}, {11,19}, {11,48}, {12,24}, {14,35}, {15,39}, {9,24}, {9,46}, {10,20}, {6,37}, {13,45}, {2,18}, {9,31}, {1,34}, {6,35}, {11,42}, {4,39}, {7,40}, {7,21}, {8,29}, {1,36}, {7,18} }; // ETB48.73 // Bipartite(16,32) Valencies [10,5] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 125829120 EdgesBipt[48][73]:={ {6,48}, {10,24}, {5,17}, {6,32}, {4,27}, {2,46}, {12,29}, {13,21}, {5,34}, {13,40}, {4,24}, {16,26}, {3,40}, {12,45}, {10,37}, {9,45}, {15,31}, {7,41}, {12,39}, {15,44}, {10,33}, {3,35}, {5,47}, {9,43}, {8,39}, {15,47}, {1,21}, {12,35}, {8,25}, {16,23}, {14,28}, {9,35}, {8,31}, {12,37}, {2,45}, {16,30}, {4,38}, {11,38}, {3,46}, {14,33}, {1,17}, {9,48}, {2,36}, {4,22}, {9,29}, {9,32}, {9,27}, {1,44}, {8,41}, {2,38}, {8,47}, {12,46}, {9,19}, {5,43}, {8,45}, {14,40}, {7,39}, {9,41}, {5,25}, {1,31}, {11,22}, {7,25}, {14,24}, {11,31}, {13,22}, {10,21}, {2,20}, {6,18}, {2,48}, {10,40}, {3,32}, {11,21}, {9,25}, {8,36}, {2,32}, {7,26}, {5,18}, {1,23}, {11,29}, {13,44}, {7,17}, {4,48}, {14,42}, {15,34}, {15,20}, {13,28}, {1,28}, {4,43}, {1,33}, {3,26}, {15,36}, {13,30}, {10,43}, {5,41}, {14,17}, {3,19}, {14,18}, {12,23}, {13,24}, {5,31}, {12,19}, {6,26}, {12,30}, {14,34}, {8,23}, {1,39}, {16,44}, {6,41}, {13,46}, {1,37}, {6,42}, {15,18}, {4,40}, {10,35}, {16,36}, {7,23}, {6,36}, {3,30}, {5,33}, {10,17}, {11,37}, {3,24}, {2,29}, {11,27}, {10,27}, {2,22}, {14,44}, {4,34}, {3,48}, {15,22}, {16,20}, {6,25}, {1,47}, {16,42}, {6,34}, {11,47}, {5,27}, {15,38}, {16,46}, {15,28}, {4,18}, {3,42}, {16,39}, {13,38}, {10,19}, {11,45}, {8,20}, {13,37}, {7,33}, {6,20}, {7,35}, {11,43}, {2,30}, {7,19}, {16,28}, {7,42}, {8,29}, {4,32}, {12,21}, {14,26} }; // ETB48.74 // Bipartite(18,30) Valencies [10,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[48][74]:={ {6,48}, {2,44}, {17,35}, {17,36}, {12,29}, {11,35}, {18,29}, {11,25}, {16,27}, {8,30}, {16,40}, {7,48}, {2,23}, {12,22}, {5,38}, {8,42}, {18,38}, {15,31}, {4,29}, {3,45}, {8,33}, {3,43}, {10,23}, {7,44}, {1,40}, {4,19}, {16,19}, {12,39}, {1,19}, {2,27}, {3,35}, {9,43}, {3,37}, {13,35}, {15,48}, {2,26}, {8,39}, {7,36}, {17,21}, {2,41}, {13,47}, {12,34}, {1,30}, {5,32}, {16,23}, {8,27}, {13,29}, {12,37}, {18,34}, {6,22}, {18,37}, {16,30}, {5,40}, {11,33}, {6,31}, {10,38}, {8,19}, {7,20}, {14,36}, {9,32}, {16,24}, {9,26}, {4,41}, {12,44}, {7,46}, {14,40}, {4,42}, {9,41}, {2,39}, {17,39}, {15,26}, {1,31}, {10,41}, {10,28}, {14,24}, {6,30}, {4,47}, {6,43}, {5,23}, {10,31}, {3,20}, {9,34}, {13,22}, {10,21}, {2,48}, {10,40}, {12,43}, {17,43}, {9,25}, {2,32}, {6,46}, {5,24}, {15,37}, {14,42}, {17,48}, {13,25}, {8,35}, {18,26}, {1,28}, {18,47}, {4,28}, {1,33}, {18,33}, {3,29}, {17,31}, {12,26}, {16,22}, {9,22}, {4,36}, {7,47}, {9,40}, {8,21}, {1,42}, {12,30}, {14,34}, {18,25}, {3,21}, {1,25}, {1,46}, {11,46}, {16,44}, {17,41}, {13,27}, {15,21}, {7,28}, {14,45}, {7,23}, {13,19}, {5,33}, {3,24}, {11,27}, {18,28}, {2,22}, {14,44}, {4,34}, {10,36}, {11,32}, {15,33}, {14,32}, {16,20}, {8,24}, {13,41}, {6,25}, {2,47}, {11,47}, {14,43}, {5,27}, {5,26}, {16,46}, {18,45}, {15,28}, {13,38}, {9,38}, {10,19}, {3,38}, {11,45}, {11,48}, {12,24}, {15,23}, {7,45}, {5,45}, {15,39}, {10,20}, {14,46}, {6,37}, {17,42}, {6,20}, {5,21}, {15,30}, {13,20}, {7,37}, {9,31}, {1,34}, {6,35}, {17,32}, {11,42}, {3,36}, {4,39}, {4,44}, {8,29} }; // ETB48.75 // Bipartite(18,30) Valencies [10,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 360 EdgesBipt[48][75]:={ {6,48}, {8,48}, {2,44}, {16,41}, {10,25}, {2,24}, {2,33}, {11,36}, {17,36}, {13,40}, {14,19}, {4,26}, {17,38}, {11,25}, {16,40}, {18,46}, {14,39}, {8,43}, {16,47}, {16,31}, {18,38}, {4,29}, {8,33}, {10,23}, {10,26}, {14,38}, {7,22}, {2,19}, {1,19}, {2,27}, {3,35}, {9,43}, {3,37}, {13,35}, {7,34}, {17,24}, {12,35}, {17,21}, {18,21}, {10,44}, {8,25}, {2,28}, {18,41}, {17,40}, {4,23}, {10,22}, {18,42}, {18,37}, {6,29}, {6,21}, {3,34}, {3,46}, {9,48}, {9,47}, {8,19}, {9,29}, {10,47}, {7,20}, {17,37}, {14,21}, {9,32}, {15,32}, {9,26}, {18,20}, {12,36}, {1,44}, {4,41}, {12,46}, {2,37}, {5,43}, {14,30}, {14,40}, {4,42}, {5,25}, {17,39}, {1,31}, {11,22}, {4,45}, {7,25}, {11,31}, {11,44}, {15,27}, {6,30}, {6,43}, {4,33}, {10,31}, {9,34}, {2,48}, {12,43}, {1,29}, {3,32}, {15,41}, {8,36}, {2,32}, {7,26}, {13,44}, {5,30}, {11,30}, {15,35}, {12,47}, {13,23}, {8,22}, {15,34}, {5,48}, {18,24}, {15,20}, {9,20}, {1,28}, {3,27}, {18,47}, {10,46}, {18,36}, {4,28}, {1,33}, {10,45}, {3,29}, {6,23}, {5,28}, {17,31}, {12,26}, {16,22}, {7,47}, {17,28}, {12,27}, {8,32}, {1,42}, {12,23}, {11,24}, {6,26}, {8,40}, {12,30}, {1,46}, {7,29}, {6,41}, {1,35}, {15,21}, {5,39}, {6,42}, {14,45}, {10,35}, {13,19}, {5,33}, {3,24}, {11,27}, {8,38}, {14,44}, {3,48}, {14,32}, {16,20}, {13,41}, {2,31}, {9,36}, {16,42}, {15,38}, {16,46}, {3,42}, {16,39}, {9,38}, {4,25}, {11,45}, {12,24}, {15,23}, {5,45}, {7,33}, {6,37}, {13,34}, {13,39}, {17,22}, {11,43}, {5,21}, {13,45}, {15,30}, {13,20}, {1,34}, {5,37}, {7,19}, {4,39}, {16,28}, {7,40}, {14,27} }; // ETB48.76 // Bipartite(18,30) Valencies [10,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 360 EdgesBipt[48][76]:={ {10,24}, {2,24}, {11,20}, {17,44}, {18,39}, {13,40}, {18,48}, {12,45}, {11,25}, {7,48}, {14,39}, {8,43}, {12,22}, {8,42}, {16,31}, {3,45}, {8,33}, {1,27}, {10,23}, {12,38}, {7,41}, {17,20}, {17,34}, {4,19}, {15,44}, {10,33}, {12,42}, {1,19}, {5,47}, {5,20}, {15,48}, {2,26}, {11,41}, {17,24}, {16,25}, {12,35}, {1,30}, {18,41}, {8,44}, {4,23}, {8,31}, {16,29}, {2,42}, {10,30}, {6,29}, {15,29}, {4,38}, {5,40}, {3,46}, {10,48}, {14,33}, {2,34}, {4,22}, {9,29}, {14,21}, {9,32}, {9,27}, {12,36}, {1,44}, {8,47}, {2,37}, {14,30}, {7,46}, {5,25}, {15,26}, {4,45}, {7,25}, {11,31}, {11,44}, {1,22}, {6,43}, {4,21}, {10,29}, {3,20}, {10,21}, {2,48}, {16,37}, {3,39}, {13,31}, {7,26}, {2,32}, {18,43}, {16,32}, {13,43}, {5,30}, {14,47}, {17,30}, {6,46}, {15,35}, {5,24}, {12,47}, {9,37}, {4,48}, {17,27}, {12,28}, {15,37}, {14,42}, {8,22}, {13,25}, {15,20}, {18,26}, {14,41}, {18,47}, {10,46}, {18,36}, {1,33}, {18,33}, {3,29}, {1,43}, {16,38}, {5,28}, {13,36}, {16,22}, {10,43}, {17,28}, {12,27}, {9,40}, {13,24}, {6,27}, {5,31}, {11,39}, {6,26}, {12,40}, {3,23}, {17,19}, {1,25}, {6,41}, {18,23}, {9,30}, {1,35}, {16,21}, {7,28}, {11,26}, {6,42}, {13,19}, {6,36}, {2,21}, {8,34}, {5,33}, {11,37}, {16,35}, {8,38}, {10,34}, {15,22}, {11,32}, {14,32}, {2,47}, {2,40}, {9,36}, {6,34}, {16,46}, {15,28}, {9,39}, {13,38}, {11,19}, {17,45}, {3,38}, {3,28}, {8,20}, {15,23}, {7,45}, {3,41}, {3,31}, {9,24}, {18,40}, {14,46}, {6,37}, {13,34}, {17,42}, {7,35}, {13,45}, {5,35}, {7,19}, {4,39}, {4,44}, {9,23}, {14,27}, {7,21}, {4,32}, {1,36} }; // ETB48.77 // Bipartite(18,30) Valencies [10,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1671768834048000000 EdgesBipt[48][77]:={ {6,48}, {2,44}, {3,33}, {16,41}, {1,20}, {13,32}, {9,28}, {2,33}, {17,35}, {11,36}, {17,36}, {11,35}, {18,48}, {3,22}, {3,40}, {15,46}, {17,47}, {16,40}, {14,39}, {9,45}, {16,47}, {7,38}, {4,29}, {1,32}, {3,45}, {8,33}, {10,23}, {7,44}, {14,38}, {1,19}, {12,42}, {2,27}, {5,47}, {2,26}, {8,39}, {11,41}, {17,24}, {16,23}, {8,44}, {4,23}, {8,27}, {12,37}, {16,29}, {10,22}, {18,42}, {18,37}, {2,45}, {15,45}, {3,34}, {3,46}, {6,31}, {1,38}, {14,33}, {4,22}, {10,47}, {7,20}, {14,21}, {9,27}, {15,40}, {12,36}, {1,44}, {4,41}, {5,29}, {2,38}, {8,45}, {2,39}, {7,32}, {17,23}, {1,31}, {10,41}, {7,43}, {10,28}, {7,25}, {15,27}, {6,30}, {4,47}, {6,43}, {5,23}, {10,29}, {9,34}, {2,20}, {10,40}, {12,43}, {3,39}, {13,31}, {18,30}, {4,35}, {7,26}, {2,32}, {18,43}, {11,23}, {13,43}, {11,29}, {6,24}, {13,44}, {5,30}, {17,30}, {11,30}, {5,24}, {12,25}, {15,34}, {17,48}, {5,48}, {13,25}, {18,24}, {3,27}, {10,46}, {18,36}, {4,28}, {1,43}, {4,46}, {8,26}, {18,31}, {5,42}, {16,22}, {9,22}, {7,31}, {5,41}, {9,40}, {8,32}, {8,21}, {11,24}, {12,19}, {12,30}, {18,19}, {18,25}, {17,29}, {5,36}, {3,21}, {1,25}, {6,19}, {17,41}, {14,20}, {1,37}, {15,21}, {16,34}, {13,26}, {6,42}, {14,45}, {4,40}, {10,35}, {13,19}, {6,36}, {2,21}, {16,35}, {8,38}, {1,26}, {14,44}, {4,34}, {10,34}, {15,22}, {15,33}, {14,32}, {6,25}, {9,33}, {11,47}, {16,46}, {15,28}, {9,39}, {13,38}, {12,48}, {11,48}, {12,24}, {8,20}, {3,28}, {13,37}, {15,39}, {9,46}, {12,31}, {6,37}, {17,42}, {13,20}, {7,37}, {5,35}, {7,19}, {11,42}, {9,21}, {16,28}, {14,27}, {14,26} }; // ETB48.78 // Bipartite(18,30) Valencies [10,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 110075314176000000 EdgesBipt[48][78]:={ {6,48}, {16,41}, {10,25}, {2,24}, {17,44}, {11,36}, {4,27}, {13,21}, {5,34}, {13,40}, {15,24}, {18,29}, {17,38}, {10,37}, {18,32}, {11,25}, {7,48}, {12,32}, {16,47}, {18,38}, {8,33}, {3,43}, {3,25}, {12,38}, {7,41}, {1,40}, {17,20}, {9,44}, {2,19}, {1,19}, {5,47}, {3,37}, {15,48}, {8,39}, {7,36}, {17,21}, {18,41}, {16,23}, {14,28}, {9,35}, {8,44}, {8,27}, {12,37}, {16,29}, {2,42}, {10,22}, {15,45}, {16,30}, {6,21}, {14,23}, {5,40}, {2,25}, {2,36}, {9,47}, {5,22}, {4,22}, {9,29}, {9,32}, {16,24}, {9,26}, {18,20}, {12,20}, {5,29}, {2,37}, {12,44}, {8,45}, {14,40}, {9,41}, {17,39}, {1,31}, {4,45}, {10,28}, {11,31}, {17,33}, {1,22}, {15,27}, {3,44}, {6,30}, {4,33}, {5,23}, {4,21}, {10,31}, {3,20}, {13,22}, {15,42}, {2,48}, {10,40}, {12,43}, {7,30}, {3,32}, {13,33}, {6,33}, {18,44}, {6,24}, {14,47}, {11,30}, {17,27}, {5,46}, {12,25}, {13,28}, {9,20}, {18,26}, {1,28}, {14,41}, {18,47}, {10,46}, {4,28}, {16,48}, {1,43}, {3,26}, {4,46}, {15,36}, {5,28}, {8,26}, {12,26}, {10,43}, {5,41}, {7,47}, {8,32}, {8,21}, {3,19}, {14,22}, {6,27}, {11,24}, {12,19}, {14,34}, {1,25}, {1,46}, {7,29}, {18,23}, {13,27}, {13,46}, {1,37}, {15,21}, {6,42}, {4,40}, {7,23}, {16,36}, {6,36}, {11,37}, {16,35}, {6,45}, {8,38}, {4,34}, {10,34}, {15,33}, {2,31}, {16,42}, {9,38}, {11,19}, {10,19}, {17,45}, {3,38}, {11,48}, {8,20}, {14,35}, {7,24}, {15,39}, {3,31}, {17,26}, {6,39}, {14,46}, {12,31}, {13,34}, {7,35}, {13,39}, {11,43}, {2,30}, {13,45}, {15,30}, {5,35}, {1,34}, {2,43}, {17,32}, {11,42}, {4,39}, {18,35}, {7,42}, {9,23}, {14,29} }; // ETB48.79 // Bipartite(18,30) Valencies [10,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1100753141760 EdgesBipt[48][79]:={ {6,48}, {16,41}, {10,24}, {17,44}, {18,39}, {13,40}, {18,48}, {14,19}, {4,24}, {16,26}, {4,26}, {3,22}, {3,40}, {12,45}, {10,37}, {17,47}, {8,30}, {16,31}, {18,38}, {3,25}, {12,38}, {7,41}, {7,44}, {1,40}, {10,26}, {12,39}, {4,31}, {2,19}, {1,19}, {3,35}, {5,47}, {3,37}, {7,34}, {5,32}, {9,35}, {17,46}, {13,29}, {10,22}, {15,25}, {2,45}, {11,33}, {2,34}, {2,36}, {4,22}, {8,19}, {14,21}, {14,36}, {16,24}, {9,27}, {15,40}, {1,44}, {4,41}, {5,29}, {8,47}, {14,30}, {8,45}, {10,41}, {7,43}, {11,31}, {7,25}, {2,35}, {17,33}, {11,44}, {15,27}, {6,30}, {6,43}, {4,21}, {10,31}, {3,20}, {15,42}, {10,21}, {9,42}, {2,20}, {16,37}, {12,43}, {1,29}, {18,30}, {9,25}, {8,36}, {6,33}, {2,32}, {7,26}, {18,43}, {13,43}, {11,29}, {6,24}, {13,44}, {14,47}, {15,35}, {9,37}, {17,27}, {5,46}, {12,28}, {15,37}, {17,48}, {5,48}, {13,25}, {18,24}, {8,35}, {13,28}, {15,20}, {9,20}, {1,28}, {3,27}, {10,46}, {18,33}, {6,23}, {1,43}, {4,46}, {17,31}, {5,42}, {16,22}, {9,22}, {12,33}, {4,36}, {9,40}, {8,32}, {8,21}, {12,23}, {5,31}, {5,44}, {12,30}, {14,34}, {3,23}, {17,29}, {1,25}, {11,46}, {7,29}, {6,28}, {18,23}, {10,39}, {14,20}, {16,21}, {7,28}, {4,37}, {13,26}, {14,45}, {13,19}, {16,36}, {2,21}, {8,34}, {5,33}, {11,27}, {18,28}, {6,45}, {1,26}, {10,36}, {15,22}, {11,32}, {14,32}, {13,41}, {2,47}, {6,38}, {11,47}, {5,27}, {15,38}, {16,46}, {18,45}, {3,42}, {16,39}, {12,48}, {9,38}, {3,38}, {11,48}, {12,24}, {8,20}, {15,23}, {14,35}, {1,41}, {6,39}, {13,34}, {17,42}, {2,30}, {1,34}, {7,19}, {17,32}, {11,42}, {4,39}, {7,40}, {9,23} }; // ETB48.80 // Bipartite(18,30) Valencies [10,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11796480 EdgesBipt[48][80]:={ {6,48}, {10,25}, {1,20}, {2,33}, {2,46}, {13,21}, {15,24}, {18,29}, {4,26}, {3,22}, {12,45}, {10,37}, {16,40}, {18,46}, {14,39}, {16,47}, {8,42}, {18,38}, {4,29}, {3,45}, {12,38}, {16,19}, {12,41}, {10,33}, {12,42}, {2,27}, {1,19}, {5,47}, {3,37}, {13,35}, {15,48}, {2,26}, {8,39}, {7,34}, {15,47}, {17,24}, {16,25}, {7,36}, {2,41}, {18,41}, {5,32}, {16,23}, {17,40}, {14,28}, {9,35}, {8,44}, {17,46}, {8,27}, {2,42}, {10,22}, {18,37}, {3,34}, {5,40}, {10,48}, {11,33}, {6,40}, {2,36}, {5,22}, {15,32}, {1,44}, {4,41}, {8,47}, {5,43}, {14,30}, {5,25}, {7,32}, {17,39}, {1,31}, {7,43}, {14,24}, {11,44}, {6,30}, {4,47}, {4,33}, {10,31}, {2,48}, {10,40}, {17,43}, {1,29}, {4,35}, {6,33}, {18,44}, {16,32}, {13,43}, {11,29}, {6,24}, {11,30}, {4,48}, {17,27}, {12,25}, {15,37}, {13,28}, {9,20}, {18,26}, {1,28}, {14,37}, {10,46}, {1,43}, {16,38}, {15,36}, {13,36}, {5,28}, {17,31}, {18,31}, {12,26}, {13,30}, {5,41}, {7,47}, {17,28}, {12,27}, {8,32}, {3,19}, {12,23}, {14,22}, {17,25}, {12,40}, {12,30}, {3,23}, {8,23}, {3,21}, {1,46}, {18,23}, {1,35}, {15,21}, {16,34}, {7,28}, {13,26}, {14,45}, {2,21}, {3,30}, {11,27}, {16,35}, {6,45}, {8,38}, {14,44}, {10,34}, {15,22}, {18,22}, {15,33}, {16,20}, {8,24}, {13,41}, {6,25}, {2,31}, {9,36}, {14,43}, {5,26}, {9,39}, {9,38}, {11,19}, {10,19}, {3,38}, {11,45}, {11,48}, {4,20}, {7,27}, {15,39}, {9,24}, {9,46}, {6,39}, {11,34}, {17,42}, {6,20}, {13,45}, {13,20}, {9,31}, {1,34}, {5,37}, {7,19}, {6,35}, {11,42}, {3,36}, {9,21}, {7,42}, {9,23}, {4,44}, {7,21}, {8,29}, {4,32}, {14,29} }; // ETB48.81 // Bipartite(24,24) Valencies [10,10] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 11520 EdgesBipt[48][81]:={ {2,44}, {3,33}, {2,33}, {17,35}, {11,36}, {18,39}, {2,46}, {13,40}, {18,48}, {21,48}, {16,26}, {4,26}, {3,40}, {15,46}, {10,37}, {17,47}, {8,30}, {16,40}, {18,46}, {21,32}, {7,48}, {8,43}, {5,38}, {16,47}, {8,42}, {18,38}, {4,29}, {3,45}, {1,27}, {12,38}, {7,41}, {7,44}, {17,34}, {9,44}, {12,39}, {12,41}, {22,42}, {15,44}, {10,33}, {3,37}, {13,35}, {15,48}, {19,47}, {14,31}, {2,26}, {24,30}, {7,34}, {22,32}, {11,41}, {23,48}, {2,41}, {13,47}, {2,28}, {12,34}, {1,30}, {5,32}, {9,35}, {8,31}, {8,27}, {16,29}, {23,39}, {23,44}, {11,28}, {16,43}, {19,28}, {15,29}, {19,33}, {6,47}, {20,38}, {22,45}, {11,38}, {11,33}, {6,31}, {6,40}, {21,46}, {1,38}, {2,36}, {17,37}, {19,26}, {9,27}, {24,37}, {1,44}, {5,29}, {12,46}, {24,43}, {19,29}, {14,30}, {7,46}, {8,45}, {14,40}, {7,39}, {4,42}, {9,41}, {2,39}, {15,26}, {24,42}, {23,34}, {7,25}, {10,28}, {11,44}, {24,25}, {6,30}, {4,47}, {4,33}, {10,29}, {23,41}, {21,26}, {9,34}, {2,48}, {16,37}, {10,40}, {17,43}, {13,31}, {18,30}, {3,32}, {24,47}, {15,41}, {23,35}, {2,32}, {18,44}, {19,42}, {16,32}, {13,43}, {11,29}, {20,44}, {14,47}, {17,30}, {17,27}, {12,25}, {23,25}, {5,48}, {13,25}, {20,28}, {8,35}, {10,42}, {18,27}, {24,34}, {14,37}, {23,38}, {4,43}, {10,45}, {3,29}, {3,26}, {22,43}, {8,37}, {21,33}, {15,36}, {21,38}, {24,35}, {18,31}, {7,31}, {24,40}, {10,43}, {4,36}, {5,41}, {21,39}, {20,29}, {12,27}, {16,45}, {6,27}, {17,25}, {11,39}, {5,44}, {8,40}, {22,33}, {20,39}, {12,30}, {21,29}, {10,32}, {18,25}, {5,36}, {1,25}, {22,28}, {1,46}, {11,46}, {19,45}, {20,46}, {22,47}, {19,36}, {9,30}, {13,27}, {1,35}, {20,48}, {13,42}, {14,25}, {5,39}, {4,37}, {6,42}, {14,45}, {22,26}, {4,40}, {16,36}, {8,34}, {5,33}, {20,26}, {6,45}, {10,36}, {11,32}, {15,33}, {19,43}, {6,25}, {20,36}, {6,34}, {14,43}, {15,38}, {5,26}, {3,42}, {15,28}, {9,39}, {12,48}, {9,38}, {17,45}, {3,28}, {7,27}, {14,35}, {22,40}, {1,41}, {23,31}, {1,48}, {9,46}, {12,31}, {6,37}, {13,34}, {3,47}, {17,42}, {7,35}, {13,45}, {22,36}, {9,31}, {1,34}, {21,41}, {21,28}, {16,28}, {18,35}, {19,37}, {20,32}, {14,27}, {4,32}, {24,31}, {23,30} }; // ETB48.82 // Bipartite(24,24) Valencies [10,10] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 1920 EdgesBipt[48][82]:={ {6,48}, {2,44}, {11,36}, {17,36}, {21,48}, {16,33}, {15,46}, {12,45}, {18,32}, {4,30}, {16,27}, {16,40}, {7,48}, {7,38}, {8,42}, {8,28}, {18,38}, {21,37}, {20,27}, {22,46}, {24,27}, {3,43}, {23,28}, {7,41}, {1,40}, {17,34}, {9,44}, {12,39}, {12,41}, {21,42}, {5,47}, {21,35}, {3,37}, {19,47}, {14,31}, {2,26}, {7,34}, {22,32}, {15,47}, {16,25}, {12,35}, {15,43}, {23,48}, {24,44}, {8,25}, {24,36}, {12,34}, {18,41}, {23,43}, {5,32}, {14,28}, {9,35}, {20,30}, {8,44}, {2,42}, {18,34}, {15,25}, {16,43}, {4,38}, {5,40}, {20,38}, {11,38}, {3,46}, {1,38}, {14,33}, {2,34}, {2,36}, {10,38}, {9,29}, {19,40}, {17,37}, {14,36}, {9,32}, {15,32}, {19,30}, {9,27}, {5,29}, {8,47}, {2,37}, {12,44}, {14,30}, {14,40}, {7,46}, {7,39}, {22,41}, {9,41}, {2,39}, {24,39}, {1,31}, {23,34}, {4,45}, {7,25}, {11,31}, {11,44}, {24,25}, {21,44}, {20,33}, {6,30}, {6,43}, {23,26}, {10,29}, {9,34}, {24,32}, {2,48}, {17,43}, {1,29}, {7,30}, {3,39}, {13,31}, {18,30}, {4,35}, {23,42}, {24,47}, {23,35}, {8,36}, {6,33}, {2,32}, {13,33}, {19,42}, {18,43}, {16,32}, {13,43}, {24,45}, {11,29}, {20,44}, {15,35}, {21,25}, {9,37}, {12,47}, {4,48}, {12,28}, {15,37}, {17,48}, {13,28}, {10,42}, {18,26}, {19,31}, {14,41}, {3,27}, {14,37}, {18,47}, {18,36}, {4,28}, {1,33}, {21,31}, {10,45}, {3,29}, {16,48}, {22,29}, {1,43}, {3,26}, {21,33}, {5,28}, {13,36}, {5,42}, {12,26}, {7,31}, {24,41}, {13,30}, {10,43}, {21,39}, {17,28}, {9,40}, {22,39}, {6,27}, {17,25}, {6,26}, {22,33}, {21,29}, {10,32}, {17,29}, {1,25}, {22,28}, {19,45}, {17,41}, {20,46}, {6,41}, {10,39}, {1,35}, {13,42}, {20,35}, {11,26}, {23,40}, {22,26}, {4,40}, {10,35}, {16,36}, {8,34}, {5,33}, {20,26}, {11,27}, {10,27}, {8,38}, {6,45}, {14,44}, {23,46}, {10,34}, {20,42}, {1,47}, {11,40}, {16,42}, {20,47}, {22,48}, {19,25}, {5,26}, {16,46}, {15,28}, {13,38}, {4,25}, {17,45}, {11,45}, {11,48}, {7,27}, {8,46}, {1,41}, {5,45}, {23,31}, {3,31}, {15,39}, {18,40}, {9,46}, {14,46}, {12,31}, {6,37}, {3,47}, {13,39}, {2,30}, {13,45}, {15,30}, {19,34}, {5,37}, {24,33}, {6,35}, {3,36}, {4,44}, {19,37}, {8,29}, {4,32}, {19,27}, {22,38} }; // ETB48.83 // Bipartite(24,24) Valencies [10,10] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 8053063680 EdgesBipt[48][83]:={ {6,48}, {8,48}, {2,44}, {3,33}, {16,41}, {17,44}, {12,29}, {2,46}, {18,48}, {16,26}, {4,26}, {23,29}, {24,48}, {3,40}, {23,27}, {12,45}, {11,25}, {21,32}, {21,47}, {14,39}, {8,43}, {12,32}, {16,47}, {21,37}, {4,29}, {20,27}, {22,46}, {3,45}, {8,33}, {23,28}, {7,41}, {9,44}, {12,41}, {10,33}, {2,27}, {21,42}, {3,35}, {21,35}, {8,39}, {7,34}, {22,32}, {11,41}, {15,47}, {24,44}, {10,44}, {24,36}, {1,30}, {5,32}, {17,40}, {9,35}, {8,31}, {8,27}, {16,29}, {23,39}, {11,28}, {18,37}, {15,45}, {4,38}, {19,33}, {6,47}, {2,25}, {5,40}, {20,38}, {22,45}, {11,38}, {6,40}, {6,31}, {1,38}, {2,34}, {2,36}, {9,47}, {9,29}, {10,47}, {14,36}, {9,32}, {19,30}, {22,34}, {12,36}, {15,40}, {4,41}, {2,37}, {5,43}, {12,44}, {19,29}, {8,45}, {7,46}, {22,35}, {7,39}, {9,41}, {2,39}, {17,39}, {15,26}, {1,31}, {20,31}, {21,44}, {20,33}, {4,47}, {6,43}, {23,26}, {23,41}, {10,31}, {22,44}, {15,42}, {24,32}, {9,42}, {2,48}, {17,43}, {7,30}, {13,31}, {4,35}, {23,37}, {9,25}, {8,36}, {2,32}, {14,48}, {19,42}, {18,43}, {13,43}, {24,45}, {11,29}, {5,30}, {17,30}, {19,41}, {15,35}, {21,25}, {9,37}, {4,48}, {17,27}, {12,28}, {23,25}, {13,25}, {20,45}, {14,37}, {18,47}, {23,38}, {10,46}, {18,36}, {10,45}, {20,43}, {16,48}, {1,43}, {3,26}, {4,46}, {16,38}, {22,43}, {5,28}, {8,26}, {17,31}, {18,31}, {5,42}, {12,33}, {24,40}, {24,41}, {13,30}, {10,43}, {4,36}, {17,28}, {19,46}, {1,42}, {5,31}, {11,39}, {5,44}, {22,33}, {12,40}, {20,39}, {21,29}, {14,34}, {10,32}, {18,25}, {21,30}, {1,25}, {1,46}, {19,45}, {22,47}, {7,29}, {6,28}, {22,31}, {9,30}, {13,46}, {20,48}, {13,42}, {1,37}, {16,34}, {14,25}, {5,39}, {13,26}, {11,26}, {23,40}, {10,35}, {16,36}, {6,36}, {3,30}, {20,26}, {11,37}, {11,27}, {16,35}, {18,28}, {8,38}, {1,26}, {4,34}, {14,44}, {10,34}, {14,32}, {15,33}, {19,39}, {6,25}, {11,40}, {20,36}, {5,27}, {15,38}, {16,46}, {3,42}, {15,28}, {13,38}, {12,48}, {3,38}, {24,29}, {3,28}, {7,27}, {7,45}, {13,37}, {18,40}, {14,46}, {7,33}, {6,37}, {13,34}, {3,47}, {17,42}, {15,30}, {19,34}, {1,34}, {21,41}, {24,33}, {6,35}, {17,32}, {18,35}, {7,42}, {14,27}, {19,27}, {24,28} }; // ETB48.84 // Bipartite(24,24) Valencies [11,11] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 5280 EdgesBipt[48][84]:={ {24,34}, {18,45}, {10,37}, {9,32}, {5,43}, {3,26}, {13,37}, {14,38}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {21,30}, {14,31}, {10,39}, {6,48}, {16,37}, {16,28}, {5,32}, {4,37}, {4,40}, {2,46}, {13,43}, {24,48}, {23,44}, {24,28}, {13,40}, {6,32}, {11,29}, {6,29}, {11,27}, {10,47}, {20,38}, {19,40}, {2,34}, {20,26}, {16,48}, {15,32}, {4,30}, {23,38}, {8,30}, {9,33}, {12,38}, {7,41}, {12,26}, {7,27}, {23,36}, {11,39}, {22,42}, {23,28}, {13,47}, {2,48}, {15,30}, {5,37}, {16,25}, {24,31}, {24,45}, {13,42}, {20,35}, {1,36}, {1,29}, {19,42}, {23,42}, {15,45}, {10,35}, {18,39}, {8,38}, {13,26}, {17,47}, {9,47}, {17,36}, {16,40}, {18,26}, {18,36}, {18,33}, {5,27}, {15,28}, {20,41}, {2,39}, {9,46}, {14,35}, {7,32}, {19,38}, {19,47}, {12,27}, {1,39}, {2,30}, {8,48}, {19,27}, {12,47}, {23,40}, {6,36}, {16,29}, {11,36}, {1,47}, {21,47}, {22,26}, {14,33}, {15,37}, {21,25}, {21,31}, {11,48}, {4,41}, {8,41}, {9,26}, {7,46}, {8,45}, {3,29}, {17,31}, {13,36}, {1,41}, {4,45}, {22,29}, {20,31}, {3,44}, {11,44}, {24,39}, {23,48}, {21,42}, {17,28}, {7,35}, {19,45}, {11,46}, {2,43}, {12,30}, {7,34}, {10,31}, {10,29}, {24,25}, {17,46}, {1,25}, {13,31}, {9,30}, {5,39}, {24,38}, {3,32}, {14,27}, {18,44}, {6,45}, {20,44}, {13,29}, {17,30}, {20,47}, {12,45}, {4,34}, {17,38}, {15,35}, {15,40}, {3,42}, {14,43}, {1,44}, {19,44}, {18,31}, {14,40}, {24,43}, {9,41}, {16,31}, {23,34}, {4,36}, {1,32}, {9,44}, {24,29}, {21,39}, {19,29}, {6,43}, {8,32}, {22,39}, {17,25}, {16,44}, {7,40}, {2,41}, {17,41}, {12,43}, {2,26}, {7,29}, {18,30}, {2,28}, {22,38}, {21,46}, {5,46}, {3,48}, {14,26}, {23,32}, {19,33}, {3,34}, {4,27}, {18,28}, {16,46}, {20,28}, {12,36}, {3,45}, {19,25}, {2,37}, {10,41}, {4,25}, {14,30}, {21,34}, {8,33}, {12,39}, {21,35}, {15,47}, {22,33}, {11,31}, {21,44}, {13,34}, {11,41}, {7,25}, {6,26}, {15,42}, {1,34}, {21,27}, {6,41}, {12,34}, {8,44}, {19,36}, {23,30}, {6,28}, {23,46}, {20,34}, {20,45}, {16,35}, {14,42}, {10,27}, {16,33}, {8,35}, {10,45}, {22,46}, {1,28}, {3,27}, {9,27}, {7,38}, {5,42}, {12,32}, {22,35}, {10,43}, {7,43}, {9,40}, {24,42}, {20,40}, {5,25}, {22,47}, {3,37}, {22,32}, {8,39}, {5,36}, {15,43}, {13,46}, {17,43}, {14,48}, {22,28}, {1,37}, {8,25}, {18,42}, {4,48}, {6,33}, {11,26}, {5,48}, {15,25}, {5,33}, {18,37}, {11,38}, {9,37}, {6,40} }; // ETB48.85 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[48][85]:={ {1,15}, {4,35}, {10,19}, {7,19}, {11,43}, {7,42}, {5,32}, {6,48}, {11,44}, {3,15}, {1,43}, {12,26}, {2,38}, {10,22}, {12,39}, {4,14}, {12,19}, {5,42}, {3,46}, {6,17}, {4,27}, {7,40}, {6,41}, {6,23}, {10,43}, {4,40}, {4,16}, {12,15}, {12,31}, {12,22}, {3,32}, {1,38}, {5,41}, {2,33}, {7,31}, {12,33}, {7,27}, {8,46}, {1,44}, {11,38}, {6,40}, {8,42}, {7,23}, {3,45}, {6,45}, {2,28}, {9,31}, {12,25}, {6,34}, {2,15}, {10,47}, {8,41}, {10,18}, {2,29}, {5,37}, {3,18}, {8,44}, {7,28}, {11,34}, {2,14}, {5,33}, {4,37}, {9,27}, {7,41}, {1,17}, {3,13}, {2,32}, {6,21}, {8,47}, {2,36}, {10,13}, {8,18}, {4,28}, {7,29}, {9,34}, {3,14}, {10,31}, {7,25}, {3,22}, {5,19}, {9,23}, {10,24}, {7,20}, {6,37}, {8,17}, {11,39}, {5,29}, {4,30}, {4,21}, {2,35}, {5,28}, {12,29}, {9,25}, {1,26}, {11,26}, {9,48}, {12,24}, {4,38}, {5,22}, {2,27}, {11,36}, {5,46}, {6,30}, {5,45}, {9,35}, {1,39}, {2,39}, {8,43}, {9,24}, {12,36}, {8,20}, {8,23}, {11,48}, {7,16}, {6,16}, {3,21}, {1,14}, {11,30}, {4,32}, {10,42}, {9,47}, {1,13}, {8,45}, {8,48}, {2,25}, {3,17}, {10,20}, {3,37}, {11,47}, {6,44}, {9,36}, {10,26}, {4,34}, {10,46}, {9,16}, {3,33}, {11,24}, {1,30}, {11,35}, {1,21}, {1,18}, {5,40}, {12,13}, {9,20} }; // ETB48.86 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 10368 EdgesBipt[48][86]:={ {1,15}, {4,35}, {9,13}, {7,48}, {11,15}, {10,21}, {11,44}, {12,48}, {1,43}, {8,24}, {8,31}, {4,14}, {9,30}, {3,29}, {6,14}, {5,42}, {9,42}, {6,36}, {6,17}, {4,48}, {10,43}, {4,40}, {7,38}, {1,25}, {12,17}, {12,31}, {2,37}, {12,22}, {3,32}, {1,38}, {2,33}, {9,39}, {12,33}, {7,45}, {9,19}, {9,21}, {11,38}, {4,44}, {11,22}, {7,15}, {3,45}, {5,13}, {8,34}, {3,31}, {6,34}, {5,26}, {8,14}, {10,47}, {10,23}, {3,19}, {10,30}, {5,37}, {1,29}, {8,22}, {3,41}, {12,46}, {6,47}, {9,27}, {2,23}, {7,41}, {7,26}, {4,46}, {6,46}, {3,40}, {6,21}, {2,36}, {4,33}, {8,18}, {7,29}, {10,39}, {10,16}, {5,43}, {7,20}, {8,35}, {6,37}, {8,17}, {4,45}, {7,13}, {5,29}, {11,28}, {2,42}, {2,34}, {10,33}, {1,19}, {11,18}, {4,36}, {2,35}, {5,28}, {9,15}, {8,40}, {12,24}, {12,23}, {2,24}, {11,13}, {2,27}, {5,38}, {2,43}, {12,44}, {11,19}, {7,18}, {2,39}, {8,32}, {9,28}, {11,40}, {5,47}, {10,14}, {3,28}, {11,31}, {3,26}, {11,25}, {12,36}, {8,23}, {11,48}, {6,16}, {9,26}, {10,17}, {3,44}, {6,42}, {1,37}, {1,20}, {1,27}, {7,22}, {4,18}, {7,32}, {3,25}, {8,45}, {3,20}, {12,41}, {12,32}, {6,24}, {4,34}, {6,27}, {10,35}, {1,47}, {10,46}, {4,41}, {9,16}, {1,30}, {5,39}, {5,16}, {2,30}, {1,21}, {5,25}, {9,20} }; // ETB48.87 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2304 EdgesBipt[48][87]:={ {7,43}, {4,35}, {7,19}, {9,40}, {11,44}, {8,31}, {8,24}, {2,38}, {4,42}, {10,22}, {6,18}, {11,23}, {3,38}, {9,42}, {1,31}, {8,36}, {9,45}, {10,43}, {10,48}, {4,16}, {12,15}, {12,17}, {2,37}, {12,14}, {12,22}, {5,41}, {6,32}, {7,31}, {6,25}, {7,45}, {7,27}, {9,21}, {12,18}, {3,30}, {6,40}, {12,27}, {7,15}, {6,45}, {3,34}, {2,28}, {12,25}, {10,45}, {6,34}, {2,19}, {8,41}, {10,18}, {10,23}, {2,29}, {5,37}, {1,34}, {6,47}, {9,27}, {4,39}, {3,13}, {2,32}, {6,33}, {4,33}, {2,17}, {10,41}, {4,28}, {3,14}, {8,35}, {8,17}, {11,39}, {5,29}, {7,14}, {11,46}, {6,15}, {10,33}, {2,40}, {4,21}, {2,35}, {5,28}, {12,29}, {4,15}, {1,35}, {1,26}, {2,44}, {8,40}, {12,24}, {9,44}, {5,38}, {2,43}, {5,46}, {2,48}, {6,30}, {10,28}, {11,19}, {1,39}, {6,38}, {8,43}, {5,20}, {4,22}, {5,47}, {10,14}, {11,31}, {5,36}, {3,26}, {8,16}, {9,24}, {8,23}, {11,48}, {1,42}, {7,16}, {9,26}, {3,21}, {11,30}, {1,41}, {3,44}, {6,42}, {1,37}, {1,27}, {9,47}, {11,32}, {1,13}, {8,25}, {9,29}, {7,46}, {7,37}, {3,20}, {7,21}, {11,20}, {12,32}, {3,36}, {3,17}, {11,47}, {8,30}, {9,36}, {10,26}, {10,46}, {7,34}, {3,33}, {4,23}, {11,24}, {5,16}, {5,39}, {4,13}, {1,18}, {1,48}, {12,20}, {5,25}, {4,19}, {12,13}, {9,22} }; // ETB48.88 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[48][88]:={ {1,15}, {7,43}, {7,19}, {7,48}, {5,32}, {7,39}, {1,43}, {2,38}, {10,22}, {6,18}, {11,23}, {5,42}, {9,42}, {4,48}, {8,36}, {6,41}, {7,24}, {6,23}, {1,40}, {4,40}, {1,25}, {6,13}, {12,15}, {2,47}, {7,33}, {2,37}, {12,14}, {12,22}, {3,32}, {5,41}, {2,33}, {6,25}, {9,39}, {8,46}, {9,21}, {12,18}, {8,42}, {12,27}, {2,28}, {9,31}, {3,31}, {10,45}, {6,34}, {2,18}, {10,47}, {9,17}, {3,19}, {10,30}, {11,45}, {5,37}, {8,44}, {12,21}, {12,30}, {9,38}, {4,37}, {10,34}, {10,36}, {8,33}, {4,46}, {1,36}, {1,17}, {3,13}, {2,16}, {2,32}, {2,36}, {10,13}, {4,33}, {8,18}, {4,28}, {7,29}, {9,34}, {10,39}, {7,47}, {4,29}, {7,25}, {3,22}, {5,43}, {9,23}, {7,20}, {8,35}, {11,28}, {3,27}, {6,26}, {6,15}, {7,30}, {4,17}, {12,29}, {9,25}, {4,15}, {11,26}, {8,40}, {7,35}, {2,24}, {11,41}, {6,19}, {5,38}, {5,46}, {2,21}, {6,30}, {5,45}, {8,27}, {10,28}, {6,38}, {8,43}, {4,22}, {11,40}, {5,47}, {10,14}, {11,31}, {3,26}, {8,16}, {5,31}, {8,23}, {11,48}, {5,48}, {11,21}, {1,14}, {3,44}, {11,27}, {3,39}, {1,37}, {1,20}, {12,42}, {3,16}, {1,13}, {9,29}, {2,26}, {3,20}, {12,41}, {9,14}, {12,32}, {3,17}, {6,44}, {4,34}, {10,35}, {10,46}, {5,44}, {9,16}, {1,45}, {11,24}, {11,35}, {12,20}, {4,19}, {1,24} }; // ETB48.89 // Bipartite(12,36) Valencies [12,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 106993205379072000000 EdgesBipt[48][89]:={ {7,43}, {4,35}, {7,19}, {9,40}, {6,48}, {12,48}, {3,15}, {8,39}, {11,17}, {1,43}, {2,38}, {10,22}, {6,18}, {11,23}, {12,19}, {5,42}, {5,30}, {6,36}, {3,46}, {1,31}, {5,35}, {9,45}, {11,29}, {2,20}, {4,40}, {11,42}, {7,38}, {1,25}, {4,16}, {6,13}, {12,31}, {5,24}, {10,40}, {1,38}, {5,41}, {2,33}, {7,31}, {6,25}, {9,39}, {1,44}, {9,21}, {12,18}, {1,32}, {3,45}, {3,34}, {12,25}, {2,15}, {8,14}, {10,47}, {10,23}, {8,44}, {8,15}, {6,43}, {12,30}, {2,14}, {5,23}, {10,34}, {9,27}, {8,33}, {7,26}, {4,46}, {2,32}, {3,40}, {8,21}, {10,41}, {4,28}, {9,34}, {4,29}, {10,16}, {7,25}, {3,22}, {7,20}, {8,26}, {6,37}, {7,13}, {5,29}, {7,14}, {3,27}, {1,19}, {11,18}, {4,17}, {9,15}, {10,29}, {1,26}, {2,44}, {12,24}, {6,31}, {9,33}, {11,41}, {2,27}, {6,19}, {11,36}, {2,21}, {12,43}, {6,30}, {8,27}, {10,28}, {8,38}, {7,44}, {2,39}, {8,32}, {4,22}, {9,28}, {5,47}, {3,28}, {5,36}, {5,17}, {12,36}, {8,20}, {11,48}, {5,48}, {3,21}, {1,14}, {11,30}, {9,46}, {10,17}, {6,42}, {3,39}, {1,37}, {1,20}, {12,42}, {3,16}, {1,13}, {7,32}, {2,26}, {8,45}, {7,37}, {6,24}, {11,47}, {5,18}, {4,34}, {10,35}, {10,46}, {4,41}, {4,47}, {9,16}, {3,33}, {4,23}, {11,24}, {11,35}, {12,37}, {12,13}, {2,45}, {9,22} }; // ETB48.90 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12173449145352192 EdgesBipt[48][90]:={ {1,15}, {4,35}, {7,42}, {11,44}, {8,39}, {11,17}, {8,24}, {2,38}, {10,22}, {6,18}, {12,19}, {3,29}, {6,14}, {3,38}, {5,30}, {6,36}, {1,31}, {7,40}, {6,41}, {7,24}, {5,35}, {6,23}, {9,45}, {10,43}, {1,40}, {2,20}, {4,40}, {4,16}, {2,47}, {7,33}, {12,14}, {10,40}, {2,33}, {6,32}, {7,31}, {10,44}, {12,18}, {4,44}, {1,32}, {8,42}, {12,27}, {7,23}, {7,15}, {3,45}, {6,45}, {3,34}, {2,15}, {5,26}, {4,26}, {5,21}, {2,29}, {5,37}, {3,18}, {8,15}, {9,38}, {12,46}, {10,34}, {9,27}, {7,41}, {8,33}, {9,43}, {10,25}, {6,46}, {1,22}, {8,47}, {10,13}, {8,21}, {9,34}, {10,31}, {10,16}, {4,43}, {5,19}, {6,37}, {7,13}, {11,39}, {7,14}, {11,46}, {4,31}, {11,28}, {2,42}, {3,27}, {12,28}, {4,17}, {3,47}, {5,28}, {9,25}, {4,25}, {11,26}, {11,37}, {12,23}, {2,24}, {6,19}, {5,46}, {1,23}, {2,21}, {2,48}, {11,19}, {2,39}, {8,38}, {4,22}, {5,17}, {12,36}, {8,20}, {11,48}, {1,42}, {5,48}, {11,21}, {1,14}, {11,30}, {1,41}, {9,18}, {10,17}, {7,22}, {9,47}, {3,16}, {1,13}, {7,32}, {3,25}, {9,29}, {8,48}, {3,20}, {12,41}, {1,33}, {12,32}, {3,36}, {8,30}, {3,43}, {9,36}, {10,26}, {4,34}, {6,27}, {10,35}, {5,44}, {9,16}, {5,39}, {11,35}, {12,37}, {4,13}, {2,30}, {9,20}, {12,45}, {1,24}, {8,29}, {6,28} }; // ETB48.91 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6687075336192000000 EdgesBipt[48][91]:={ {2,44}, {8,48}, {3,33}, {11,20}, {12,29}, {2,46}, {5,34}, {4,24}, {4,16}, {4,30}, {11,25}, {8,30}, {7,48}, {6,17}, {1,13}, {12,22}, {8,42}, {3,45}, {3,13}, {3,43}, {3,25}, {3,15}, {10,26}, {12,41}, {10,33}, {1,19}, {3,37}, {2,26}, {12,35}, {11,14}, {7,36}, {10,44}, {2,28}, {12,34}, {2,14}, {9,35}, {8,44}, {10,15}, {6,29}, {6,47}, {6,21}, {5,40}, {11,38}, {2,34}, {1,17}, {9,48}, {9,47}, {5,22}, {4,22}, {10,38}, {9,29}, {12,17}, {2,38}, {12,46}, {8,14}, {4,42}, {9,41}, {11,13}, {1,31}, {7,13}, {7,43}, {11,31}, {7,25}, {11,44}, {12,16}, {10,21}, {9,42}, {2,20}, {1,29}, {7,30}, {2,16}, {3,39}, {8,36}, {6,33}, {2,32}, {1,23}, {12,47}, {4,48}, {5,46}, {12,28}, {3,27}, {4,28}, {10,45}, {6,23}, {1,43}, {4,46}, {5,28}, {8,26}, {7,31}, {6,15}, {4,36}, {8,32}, {3,19}, {12,23}, {6,27}, {12,40}, {10,32}, {3,21}, {1,25}, {6,41}, {9,30}, {10,39}, {1,35}, {1,37}, {5,39}, {11,26}, {4,40}, {5,33}, {9,18}, {11,37}, {10,27}, {8,38}, {6,45}, {2,22}, {4,34}, {11,32}, {9,17}, {8,24}, {1,47}, {2,40}, {9,36}, {5,27}, {8,18}, {4,18}, {11,19}, {8,20}, {1,41}, {5,45}, {7,24}, {3,31}, {9,24}, {10,20}, {6,39}, {5,15}, {10,14}, {11,43}, {5,21}, {7,37}, {7,19}, {6,35}, {7,42}, {9,23}, {7,18}, {5,16} }; // ETB48.92 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6687075336192 EdgesBipt[48][92]:={ {1,15}, {7,43}, {7,19}, {7,39}, {3,15}, {1,43}, {2,38}, {4,14}, {9,30}, {12,19}, {3,29}, {2,22}, {5,42}, {5,30}, {9,42}, {11,33}, {3,46}, {1,31}, {12,16}, {4,48}, {10,38}, {2,20}, {4,40}, {10,48}, {11,42}, {1,25}, {4,16}, {12,40}, {2,47}, {12,31}, {5,24}, {10,40}, {6,32}, {7,31}, {9,39}, {12,33}, {7,27}, {8,46}, {3,30}, {6,40}, {7,23}, {7,15}, {5,13}, {8,34}, {6,45}, {3,34}, {4,26}, {8,14}, {9,17}, {5,21}, {11,45}, {5,37}, {3,18}, {8,22}, {8,44}, {3,41}, {12,21}, {6,43}, {2,14}, {5,33}, {9,27}, {2,23}, {10,36}, {2,32}, {6,33}, {6,21}, {8,47}, {10,41}, {4,28}, {9,34}, {7,47}, {4,29}, {10,16}, {7,25}, {3,22}, {10,24}, {8,35}, {8,26}, {7,13}, {3,27}, {2,34}, {1,19}, {11,18}, {12,28}, {4,36}, {4,17}, {2,35}, {9,15}, {10,29}, {1,35}, {11,37}, {2,44}, {7,35}, {4,38}, {6,31}, {11,13}, {3,42}, {6,19}, {11,36}, {12,44}, {1,23}, {12,43}, {5,45}, {10,28}, {2,46}, {1,39}, {8,38}, {8,32}, {10,14}, {5,36}, {11,25}, {8,20}, {8,23}, {11,48}, {5,48}, {6,16}, {6,20}, {11,21}, {11,30}, {9,18}, {9,46}, {10,17}, {3,39}, {1,37}, {1,27}, {1,13}, {9,29}, {2,26}, {7,37}, {12,32}, {3,17}, {9,41}, {5,18}, {6,44}, {10,26}, {1,47}, {4,41}, {11,24}, {12,20}, {5,25}, {4,24}, {12,45}, {6,28}, {9,22} }; // ETB48.93 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1141260857376768 EdgesBipt[48][93]:={ {9,13}, {10,19}, {11,43}, {5,32}, {9,40}, {11,15}, {5,14}, {11,44}, {3,15}, {11,17}, {8,31}, {2,38}, {9,30}, {12,19}, {2,22}, {6,14}, {11,33}, {7,40}, {6,17}, {4,48}, {6,41}, {1,46}, {6,23}, {2,20}, {5,34}, {11,42}, {4,16}, {2,47}, {5,41}, {2,33}, {6,32}, {7,31}, {9,39}, {7,45}, {7,27}, {8,46}, {1,44}, {9,21}, {11,16}, {12,18}, {3,30}, {12,27}, {3,45}, {8,34}, {9,31}, {2,15}, {8,13}, {10,23}, {2,29}, {3,48}, {3,18}, {8,22}, {11,34}, {5,23}, {12,46}, {4,20}, {6,47}, {2,31}, {7,26}, {8,28}, {4,39}, {1,17}, {10,41}, {2,13}, {10,15}, {4,29}, {5,43}, {4,43}, {10,37}, {9,23}, {10,24}, {7,13}, {2,42}, {3,27}, {4,30}, {6,26}, {10,33}, {1,19}, {2,40}, {12,28}, {4,21}, {12,29}, {4,25}, {1,35}, {1,26}, {8,19}, {11,26}, {8,40}, {6,29}, {7,35}, {9,48}, {4,38}, {2,24}, {3,42}, {12,38}, {5,27}, {5,45}, {10,28}, {1,39}, {6,38}, {7,18}, {7,44}, {8,43}, {10,14}, {5,36}, {8,16}, {3,24}, {11,25}, {12,36}, {6,20}, {3,21}, {3,39}, {1,37}, {10,42}, {7,22}, {8,25}, {12,47}, {10,32}, {9,14}, {1,28}, {3,36}, {8,37}, {9,41}, {6,35}, {9,32}, {5,18}, {6,44}, {4,34}, {10,46}, {4,47}, {3,33}, {7,36}, {7,17}, {11,24}, {1,30}, {5,16}, {11,35}, {12,37}, {1,21}, {1,48}, {12,20}, {5,25}, {12,45}, {9,22} }; // ETB48.94 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 835884417024 EdgesBipt[48][94]:={ {7,48}, {9,40}, {11,15}, {8,39}, {4,42}, {10,22}, {11,23}, {12,19}, {6,14}, {5,42}, {5,30}, {11,33}, {3,46}, {6,17}, {12,16}, {10,27}, {4,48}, {6,41}, {7,24}, {6,23}, {9,45}, {10,38}, {1,40}, {10,48}, {5,34}, {11,42}, {1,25}, {12,17}, {12,40}, {12,31}, {3,32}, {1,38}, {9,21}, {3,45}, {5,13}, {2,28}, {3,34}, {3,31}, {6,34}, {2,19}, {2,15}, {8,13}, {6,22}, {3,19}, {11,45}, {5,37}, {8,44}, {8,15}, {9,38}, {10,34}, {6,47}, {2,31}, {10,36}, {7,41}, {6,46}, {2,16}, {1,16}, {8,47}, {2,36}, {4,33}, {7,29}, {10,39}, {10,15}, {4,29}, {7,25}, {3,22}, {5,43}, {5,19}, {10,24}, {7,20}, {8,35}, {7,13}, {4,45}, {11,39}, {4,30}, {6,26}, {11,18}, {2,40}, {12,28}, {4,36}, {4,21}, {4,17}, {12,29}, {12,35}, {1,26}, {6,29}, {12,23}, {2,24}, {9,33}, {5,22}, {2,27}, {9,44}, {2,43}, {5,46}, {2,48}, {12,43}, {8,27}, {6,38}, {2,39}, {7,44}, {8,32}, {9,28}, {10,14}, {5,31}, {8,20}, {8,23}, {1,42}, {9,26}, {11,21}, {3,21}, {1,14}, {11,30}, {3,44}, {11,27}, {1,37}, {1,13}, {4,18}, {8,25}, {7,32}, {12,47}, {7,37}, {3,20}, {12,41}, {9,14}, {1,28}, {8,37}, {6,35}, {9,32}, {11,47}, {5,18}, {3,43}, {10,26}, {10,46}, {4,41}, {9,16}, {3,33}, {7,36}, {7,17}, {1,30}, {11,35}, {1,18}, {5,25}, {4,24}, {9,20} }; // ETB48.95 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 104485552128 EdgesBipt[48][95]:={ {9,13}, {11,43}, {7,48}, {6,39}, {5,14}, {10,21}, {8,31}, {2,38}, {6,18}, {12,39}, {4,14}, {3,29}, {11,33}, {3,46}, {6,17}, {4,27}, {12,16}, {4,48}, {6,41}, {7,24}, {1,46}, {7,38}, {1,25}, {12,15}, {12,40}, {2,47}, {7,33}, {2,37}, {3,32}, {5,41}, {6,32}, {9,39}, {7,45}, {1,44}, {10,44}, {12,18}, {1,32}, {11,22}, {9,37}, {8,42}, {12,27}, {7,23}, {2,28}, {3,34}, {12,25}, {3,31}, {10,45}, {5,26}, {4,26}, {10,47}, {10,18}, {10,23}, {3,19}, {10,30}, {11,45}, {3,41}, {1,34}, {11,34}, {12,30}, {2,14}, {9,27}, {2,23}, {7,26}, {8,33}, {8,28}, {4,39}, {2,16}, {1,22}, {8,18}, {8,21}, {9,34}, {2,13}, {7,47}, {4,29}, {3,22}, {5,43}, {5,19}, {5,29}, {7,14}, {11,46}, {6,15}, {10,33}, {2,40}, {12,28}, {4,36}, {4,17}, {2,35}, {5,28}, {9,25}, {4,15}, {9,15}, {1,35}, {8,19}, {8,40}, {6,29}, {7,35}, {9,48}, {4,38}, {11,36}, {5,38}, {1,23}, {6,30}, {11,19}, {8,43}, {11,31}, {8,16}, {5,17}, {5,31}, {9,24}, {11,48}, {6,20}, {11,21}, {9,46}, {3,44}, {6,42}, {1,37}, {1,20}, {10,42}, {12,42}, {1,13}, {2,26}, {8,45}, {10,32}, {3,20}, {7,21}, {2,25}, {3,17}, {10,20}, {8,30}, {6,44}, {3,43}, {9,36}, {6,27}, {10,35}, {1,47}, {4,41}, {7,36}, {11,24}, {5,16}, {12,37}, {4,24}, {5,40}, {12,13}, {9,22} }; // ETB48.96 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 104485552128 EdgesBipt[48][96]:={ {11,43}, {7,42}, {5,32}, {7,39}, {11,15}, {6,48}, {10,21}, {12,48}, {4,42}, {12,39}, {4,14}, {12,19}, {3,38}, {6,36}, {3,46}, {6,17}, {12,16}, {6,41}, {5,35}, {1,46}, {2,20}, {10,48}, {11,42}, {7,38}, {1,25}, {12,15}, {12,40}, {12,31}, {2,37}, {10,40}, {1,38}, {6,32}, {9,39}, {7,27}, {8,46}, {11,22}, {8,42}, {12,27}, {7,23}, {7,15}, {8,34}, {6,45}, {3,34}, {2,28}, {3,31}, {10,45}, {4,26}, {8,13}, {2,29}, {3,19}, {1,29}, {8,22}, {1,34}, {11,34}, {5,23}, {2,41}, {9,27}, {10,36}, {7,26}, {8,33}, {1,17}, {10,25}, {2,16}, {1,22}, {2,32}, {6,33}, {6,21}, {10,13}, {8,21}, {8,18}, {2,17}, {4,33}, {3,14}, {2,13}, {7,47}, {4,29}, {10,16}, {3,22}, {5,43}, {10,37}, {5,19}, {9,23}, {10,24}, {3,23}, {4,45}, {11,39}, {7,14}, {11,46}, {4,30}, {10,33}, {11,18}, {2,40}, {12,28}, {7,30}, {4,21}, {4,17}, {3,47}, {5,28}, {9,15}, {1,26}, {2,44}, {6,29}, {7,35}, {9,48}, {12,24}, {4,38}, {9,44}, {3,35}, {12,43}, {9,35}, {10,28}, {11,19}, {7,18}, {5,20}, {5,47}, {11,31}, {3,26}, {5,31}, {9,24}, {12,36}, {6,20}, {1,14}, {11,30}, {1,41}, {11,27}, {1,37}, {9,47}, {1,13}, {4,18}, {8,25}, {8,45}, {2,25}, {8,37}, {6,24}, {9,32}, {8,30}, {6,44}, {3,43}, {9,36}, {4,41}, {5,44}, {5,16}, {5,40}, {9,20} }; // ETB48.97 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[48][97]:={ {7,48}, {7,39}, {11,44}, {11,17}, {8,31}, {2,38}, {4,42}, {3,46}, {1,31}, {12,16}, {10,27}, {10,43}, {11,29}, {2,20}, {5,34}, {6,13}, {12,15}, {12,17}, {7,33}, {2,37}, {3,32}, {1,38}, {9,39}, {12,33}, {7,27}, {7,45}, {9,21}, {11,38}, {12,18}, {4,44}, {1,32}, {6,40}, {7,23}, {7,15}, {3,34}, {10,45}, {2,19}, {2,18}, {4,26}, {8,14}, {8,13}, {9,17}, {6,22}, {10,23}, {5,37}, {8,22}, {12,46}, {4,20}, {10,34}, {6,47}, {7,41}, {9,43}, {4,39}, {10,25}, {6,46}, {3,40}, {12,34}, {2,36}, {2,17}, {10,41}, {3,14}, {10,15}, {10,16}, {3,22}, {4,43}, {5,19}, {5,29}, {6,26}, {10,33}, {12,28}, {7,30}, {4,21}, {2,35}, {12,29}, {12,35}, {9,25}, {4,25}, {9,15}, {8,19}, {11,26}, {11,37}, {8,40}, {6,29}, {4,38}, {6,31}, {9,33}, {11,13}, {3,42}, {5,22}, {9,44}, {1,23}, {2,21}, {2,48}, {5,27}, {5,45}, {8,27}, {9,35}, {11,19}, {7,18}, {2,39}, {8,32}, {9,28}, {5,47}, {10,14}, {3,28}, {11,31}, {5,36}, {3,24}, {12,36}, {1,42}, {9,26}, {1,14}, {1,41}, {9,46}, {6,42}, {1,20}, {3,16}, {1,13}, {3,25}, {12,47}, {8,45}, {8,48}, {10,32}, {7,21}, {11,20}, {8,37}, {6,24}, {11,47}, {5,18}, {8,30}, {6,44}, {3,43}, {4,41}, {7,36}, {4,23}, {1,30}, {5,16}, {11,35}, {2,30}, {1,48}, {4,24}, {5,40}, {1,24}, {6,28} }; // ETB48.98 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[48][98]:={ {7,48}, {6,39}, {9,40}, {6,48}, {8,39}, {10,22}, {9,30}, {12,19}, {3,29}, {9,42}, {3,46}, {7,40}, {1,31}, {4,48}, {8,36}, {6,41}, {5,35}, {6,23}, {10,38}, {5,34}, {11,42}, {12,40}, {7,33}, {12,22}, {10,40}, {2,33}, {9,39}, {7,45}, {7,27}, {8,46}, {9,21}, {10,44}, {11,38}, {4,44}, {1,32}, {12,27}, {7,15}, {8,34}, {6,45}, {3,34}, {2,28}, {12,25}, {6,34}, {2,15}, {8,14}, {4,26}, {10,47}, {10,18}, {5,37}, {1,29}, {3,41}, {2,14}, {5,33}, {4,20}, {2,31}, {10,36}, {8,28}, {1,36}, {2,32}, {6,21}, {4,33}, {8,18}, {8,21}, {2,13}, {5,43}, {5,19}, {5,15}, {8,35}, {6,37}, {8,17}, {3,23}, {11,39}, {7,14}, {4,31}, {2,42}, {4,30}, {11,18}, {7,30}, {3,47}, {12,29}, {4,15}, {10,29}, {11,37}, {7,35}, {9,48}, {12,24}, {4,38}, {2,24}, {11,13}, {6,19}, {9,44}, {11,36}, {5,38}, {2,43}, {1,23}, {12,43}, {6,30}, {2,46}, {11,19}, {5,20}, {8,32}, {9,28}, {3,28}, {11,31}, {3,26}, {8,16}, {5,17}, {9,24}, {6,16}, {9,26}, {11,21}, {1,14}, {1,41}, {9,46}, {10,17}, {3,44}, {1,27}, {12,42}, {7,22}, {3,16}, {1,13}, {7,32}, {3,25}, {12,47}, {11,20}, {2,25}, {10,20}, {3,43}, {10,26}, {6,27}, {10,35}, {1,47}, {4,41}, {1,45}, {7,17}, {4,23}, {11,24}, {5,16}, {12,37}, {4,13}, {1,18}, {5,25}, {12,45}, {9,22} }; // ETB48.99 // Bipartite(12,36) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[48][99]:={ {7,43}, {5,32}, {9,40}, {11,15}, {6,48}, {5,14}, {12,48}, {8,39}, {1,43}, {8,31}, {12,26}, {2,38}, {12,39}, {3,29}, {11,33}, {1,31}, {4,27}, {12,16}, {4,48}, {6,41}, {5,35}, {1,46}, {6,23}, {10,38}, {1,40}, {2,20}, {4,40}, {10,48}, {5,34}, {11,42}, {1,25}, {12,40}, {7,33}, {12,22}, {5,41}, {7,45}, {7,27}, {9,19}, {1,32}, {9,37}, {12,27}, {7,15}, {3,45}, {5,13}, {8,34}, {2,18}, {10,47}, {8,13}, {10,18}, {3,19}, {10,30}, {5,37}, {8,44}, {8,15}, {12,21}, {12,30}, {5,23}, {4,20}, {2,41}, {6,47}, {2,23}, {10,36}, {8,33}, {9,43}, {1,17}, {6,46}, {1,22}, {12,34}, {2,36}, {4,33}, {2,17}, {8,21}, {7,29}, {9,34}, {7,47}, {7,25}, {5,19}, {9,23}, {8,26}, {4,45}, {11,39}, {7,14}, {4,31}, {2,42}, {3,27}, {4,30}, {6,26}, {11,18}, {2,35}, {3,47}, {9,25}, {4,15}, {10,29}, {1,35}, {11,37}, {2,44}, {6,29}, {11,14}, {4,38}, {2,24}, {3,42}, {11,36}, {12,44}, {6,30}, {10,28}, {11,19}, {7,18}, {8,38}, {4,22}, {9,28}, {3,24}, {5,17}, {5,31}, {8,16}, {8,20}, {11,21}, {3,21}, {1,14}, {9,46}, {10,17}, {6,42}, {3,39}, {11,32}, {1,13}, {7,32}, {3,25}, {2,26}, {1,28}, {9,41}, {10,20}, {3,37}, {6,24}, {6,44}, {3,43}, {10,35}, {10,46}, {9,16}, {7,36}, {11,24}, {5,16}, {4,13}, {12,45}, {6,28}, {9,22} }; // ETB48.100 // Bipartite(16,32) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 6144 EdgesBipt[48][100]:={ {6,48}, {10,24}, {5,17}, {2,24}, {2,33}, {6,32}, {11,36}, {4,27}, {11,35}, {5,34}, {15,24}, {16,33}, {4,26}, {15,46}, {16,27}, {8,30}, {7,48}, {14,39}, {8,43}, {12,22}, {5,38}, {12,32}, {16,47}, {16,31}, {3,45}, {3,25}, {12,38}, {9,44}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {14,31}, {7,34}, {15,47}, {16,18}, {16,25}, {10,44}, {2,41}, {12,34}, {16,23}, {9,35}, {8,44}, {8,27}, {12,37}, {10,22}, {15,25}, {3,18}, {11,28}, {10,30}, {3,17}, {15,45}, {6,47}, {6,21}, {3,34}, {3,46}, {2,34}, {14,33}, {1,17}, {10,38}, {9,29}, {7,20}, {14,21}, {9,26}, {15,40}, {1,44}, {4,41}, {5,29}, {8,41}, {9,19}, {2,37}, {8,45}, {14,40}, {2,39}, {15,26}, {7,25}, {15,27}, {6,30}, {4,47}, {6,43}, {10,29}, {13,22}, {15,42}, {10,21}, {9,42}, {2,20}, {10,40}, {12,43}, {8,17}, {3,32}, {2,32}, {14,48}, {11,23}, {6,44}, {15,35}, {9,37}, {13,23}, {12,28}, {15,37}, {8,22}, {1,45}, {14,42}, {8,35}, {1,28}, {14,41}, {10,46}, {4,28}, {1,33}, {4,43}, {3,29}, {1,43}, {3,26}, {4,46}, {16,38}, {5,28}, {13,36}, {5,42}, {12,26}, {16,22}, {12,33}, {5,41}, {7,47}, {14,17}, {8,32}, {16,45}, {1,24}, {14,18}, {11,24}, {13,24}, {11,39}, {8,40}, {12,40}, {8,23}, {1,39}, {5,36}, {1,25}, {11,46}, {7,29}, {9,30}, {10,39}, {13,46}, {1,37}, {14,20}, {15,21}, {7,28}, {6,42}, {13,26}, {7,23}, {16,36}, {6,36}, {3,30}, {2,29}, {3,48}, {11,32}, {10,18}, {13,48}, {2,47}, {6,25}, {13,41}, {6,38}, {9,33}, {9,36}, {5,27}, {4,18}, {16,39}, {13,38}, {10,19}, {4,20}, {14,35}, {13,37}, {5,45}, {1,48}, {3,31}, {12,31}, {11,34}, {5,19}, {6,20}, {7,35}, {11,43}, {5,21}, {2,30}, {13,17}, {13,20}, {9,31}, {7,19}, {11,42}, {7,40}, {4,44}, {9,23}, {11,18}, {12,21} }; // ETB48.101 // Bipartite(16,32) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[48][101]:={ {6,48}, {2,24}, {9,28}, {12,29}, {13,21}, {15,24}, {4,26}, {3,22}, {3,40}, {10,37}, {11,25}, {16,27}, {7,48}, {9,45}, {5,38}, {16,47}, {8,28}, {16,31}, {1,27}, {3,43}, {7,41}, {7,44}, {9,44}, {4,19}, {12,39}, {10,33}, {5,20}, {9,43}, {3,37}, {2,26}, {14,31}, {11,41}, {16,25}, {7,36}, {9,35}, {3,18}, {16,43}, {10,30}, {3,17}, {4,38}, {15,29}, {6,47}, {6,21}, {3,34}, {5,40}, {6,31}, {2,34}, {1,17}, {5,22}, {10,38}, {8,19}, {10,47}, {12,20}, {12,36}, {1,44}, {4,41}, {2,38}, {14,40}, {4,42}, {9,41}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {4,45}, {7,43}, {7,25}, {14,24}, {2,35}, {3,44}, {6,43}, {5,23}, {10,29}, {4,21}, {3,20}, {9,34}, {15,19}, {9,42}, {6,18}, {2,48}, {12,43}, {8,17}, {2,32}, {6,33}, {13,33}, {14,48}, {16,32}, {1,23}, {6,24}, {5,30}, {6,44}, {6,46}, {11,30}, {4,48}, {13,23}, {12,28}, {15,37}, {8,22}, {13,25}, {8,35}, {15,20}, {9,20}, {1,28}, {3,27}, {14,37}, {10,46}, {1,33}, {15,17}, {3,29}, {4,46}, {8,37}, {5,28}, {15,36}, {8,26}, {16,22}, {13,30}, {5,41}, {4,36}, {7,47}, {12,27}, {9,40}, {16,45}, {1,42}, {12,23}, {14,22}, {3,23}, {8,23}, {1,39}, {10,32}, {1,25}, {11,46}, {10,39}, {13,42}, {15,21}, {16,34}, {11,26}, {13,26}, {8,34}, {2,29}, {16,35}, {8,38}, {14,44}, {10,36}, {9,17}, {10,18}, {14,32}, {15,33}, {8,24}, {2,47}, {2,40}, {11,40}, {16,42}, {11,47}, {8,18}, {16,46}, {15,28}, {13,38}, {11,19}, {10,19}, {11,48}, {12,24}, {7,27}, {7,45}, {14,35}, {1,41}, {5,45}, {6,39}, {14,46}, {7,33}, {6,37}, {12,31}, {11,34}, {5,19}, {13,39}, {2,30}, {13,17}, {13,45}, {15,30}, {13,20}, {5,35}, {2,18}, {9,31}, {11,42}, {4,39}, {7,21}, {14,27}, {4,32}, {12,18}, {12,21}, {1,36}, {14,29} }; // ETB48.102 // Bipartite(16,32) Valencies [12,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[48][102]:={ {6,48}, {8,48}, {11,17}, {10,24}, {5,17}, {11,20}, {13,32}, {2,33}, {11,36}, {4,27}, {11,35}, {16,33}, {3,22}, {3,40}, {15,46}, {16,27}, {2,23}, {8,43}, {8,42}, {1,27}, {10,23}, {12,38}, {16,19}, {12,39}, {2,19}, {12,42}, {3,35}, {5,20}, {3,37}, {15,48}, {8,39}, {11,41}, {10,44}, {8,25}, {2,28}, {1,30}, {5,32}, {4,23}, {13,29}, {11,28}, {16,43}, {10,30}, {6,29}, {3,17}, {15,45}, {4,38}, {15,29}, {6,47}, {6,21}, {11,33}, {6,31}, {2,34}, {1,17}, {9,47}, {4,22}, {8,19}, {10,47}, {7,20}, {14,21}, {14,36}, {12,17}, {15,32}, {16,24}, {9,26}, {12,20}, {4,41}, {2,38}, {12,46}, {2,37}, {5,43}, {12,44}, {8,45}, {14,30}, {7,39}, {9,41}, {11,22}, {15,27}, {3,44}, {5,23}, {4,21}, {10,31}, {15,19}, {9,42}, {1,29}, {8,17}, {3,32}, {13,33}, {14,48}, {5,18}, {6,24}, {13,44}, {6,46}, {15,35}, {5,46}, {12,28}, {14,42}, {13,25}, {14,37}, {4,28}, {1,33}, {10,45}, {1,43}, {3,26}, {16,38}, {12,26}, {9,22}, {5,41}, {7,47}, {9,40}, {8,32}, {3,19}, {14,18}, {14,22}, {5,31}, {13,24}, {8,40}, {12,30}, {8,23}, {14,34}, {1,39}, {5,36}, {3,21}, {1,25}, {6,19}, {16,44}, {7,29}, {6,41}, {6,28}, {10,39}, {1,35}, {13,46}, {14,25}, {16,21}, {7,28}, {13,26}, {15,18}, {10,35}, {16,36}, {6,36}, {9,18}, {2,29}, {16,35}, {1,26}, {4,34}, {10,36}, {10,34}, {15,22}, {10,18}, {16,20}, {8,24}, {6,25}, {1,47}, {2,40}, {2,31}, {11,40}, {9,33}, {16,42}, {5,27}, {14,43}, {15,38}, {9,38}, {12,48}, {4,25}, {11,45}, {11,48}, {7,27}, {7,45}, {1,41}, {13,37}, {3,31}, {9,24}, {9,46}, {12,31}, {11,34}, {3,47}, {13,34}, {2,30}, {13,45}, {15,30}, {7,37}, {13,20}, {5,37}, {2,43}, {4,39}, {7,40}, {7,42}, {9,23}, {4,44}, {7,21}, {4,32}, {14,26}, {7,18} }; // ETB48.103 // Bipartite(16,32) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1352605460594688 EdgesBipt[48][103]:={ {8,48}, {5,17}, {11,20}, {11,36}, {4,24}, {4,26}, {15,46}, {10,37}, {8,30}, {16,40}, {6,17}, {5,38}, {12,32}, {7,38}, {1,32}, {3,45}, {1,27}, {7,44}, {1,40}, {10,26}, {12,39}, {7,22}, {4,31}, {2,19}, {15,44}, {1,19}, {12,42}, {2,27}, {5,47}, {9,43}, {3,37}, {2,26}, {7,36}, {15,43}, {13,47}, {12,34}, {9,35}, {14,28}, {4,23}, {16,29}, {2,42}, {11,28}, {2,45}, {16,30}, {2,34}, {14,33}, {1,17}, {9,48}, {5,22}, {7,20}, {9,32}, {14,36}, {16,24}, {9,27}, {9,19}, {2,37}, {8,45}, {7,46}, {4,42}, {9,41}, {5,25}, {7,43}, {11,31}, {2,35}, {11,44}, {15,27}, {3,44}, {4,47}, {5,23}, {10,29}, {3,20}, {13,22}, {15,19}, {10,21}, {6,18}, {16,37}, {7,30}, {3,39}, {13,31}, {11,21}, {9,25}, {13,33}, {6,33}, {16,32}, {11,23}, {11,29}, {5,30}, {6,44}, {15,35}, {12,47}, {4,48}, {5,46}, {13,23}, {8,22}, {14,42}, {13,25}, {10,42}, {15,20}, {14,41}, {1,33}, {10,45}, {3,29}, {16,48}, {1,43}, {16,38}, {8,37}, {15,36}, {12,26}, {16,22}, {13,30}, {10,43}, {5,41}, {9,40}, {14,17}, {8,32}, {16,45}, {8,21}, {1,24}, {14,18}, {12,23}, {5,31}, {11,39}, {6,26}, {8,40}, {12,40}, {3,23}, {14,34}, {3,21}, {1,25}, {6,41}, {6,28}, {13,46}, {1,35}, {14,20}, {5,39}, {14,25}, {16,21}, {7,28}, {6,42}, {4,40}, {10,35}, {6,36}, {2,21}, {5,33}, {11,37}, {2,29}, {10,27}, {8,38}, {4,34}, {14,44}, {10,34}, {15,22}, {9,17}, {10,18}, {8,24}, {13,41}, {6,25}, {9,33}, {6,34}, {11,47}, {15,38}, {16,46}, {4,18}, {15,28}, {13,38}, {12,48}, {10,19}, {11,45}, {12,24}, {3,28}, {7,27}, {8,46}, {1,41}, {1,48}, {3,31}, {9,24}, {12,31}, {3,47}, {6,20}, {7,35}, {13,39}, {13,17}, {15,30}, {2,18}, {7,19}, {2,43}, {3,36}, {4,39}, {8,29}, {4,32}, {12,18}, {14,26} }; // ETB48.104 // Bipartite(16,32) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 98304 EdgesBipt[48][104]:={ {11,17}, {3,33}, {16,41}, {2,33}, {6,32}, {11,36}, {2,46}, {13,21}, {13,40}, {4,24}, {16,26}, {4,26}, {12,45}, {15,46}, {4,30}, {16,40}, {14,39}, {9,45}, {12,32}, {3,43}, {12,38}, {16,19}, {4,31}, {10,33}, {2,27}, {1,19}, {5,20}, {9,43}, {14,31}, {11,41}, {1,21}, {15,47}, {16,18}, {7,36}, {14,28}, {8,44}, {4,23}, {13,29}, {16,29}, {10,22}, {15,25}, {3,18}, {11,28}, {10,30}, {3,17}, {15,45}, {4,38}, {3,34}, {5,40}, {14,23}, {10,48}, {11,33}, {6,31}, {6,40}, {2,34}, {1,17}, {9,48}, {9,47}, {10,38}, {9,29}, {8,19}, {10,47}, {7,20}, {16,24}, {9,26}, {5,29}, {8,41}, {2,38}, {12,46}, {9,19}, {5,43}, {7,46}, {14,30}, {14,40}, {5,25}, {4,45}, {7,25}, {2,35}, {11,44}, {1,22}, {15,27}, {3,44}, {6,30}, {4,21}, {15,42}, {9,42}, {2,48}, {1,29}, {3,39}, {13,31}, {16,32}, {13,43}, {13,44}, {5,24}, {9,37}, {4,48}, {12,25}, {15,37}, {8,22}, {1,45}, {13,25}, {8,35}, {15,20}, {14,41}, {10,46}, {6,23}, {1,43}, {4,46}, {16,38}, {13,36}, {15,36}, {8,26}, {12,26}, {16,22}, {9,22}, {2,17}, {7,47}, {8,32}, {1,42}, {3,19}, {12,23}, {13,24}, {6,27}, {5,31}, {11,39}, {5,44}, {8,40}, {12,30}, {14,34}, {5,36}, {16,44}, {6,41}, {6,28}, {1,37}, {14,20}, {5,39}, {7,28}, {10,35}, {7,23}, {10,17}, {16,35}, {10,27}, {8,38}, {1,26}, {2,22}, {10,34}, {9,17}, {10,18}, {14,32}, {15,33}, {8,24}, {2,47}, {1,47}, {6,34}, {8,18}, {3,42}, {15,28}, {12,48}, {11,19}, {4,25}, {12,24}, {3,28}, {7,27}, {7,45}, {14,35}, {15,23}, {13,37}, {3,41}, {1,48}, {6,39}, {7,33}, {12,31}, {11,34}, {6,20}, {13,39}, {11,43}, {5,21}, {2,30}, {13,20}, {7,37}, {2,18}, {5,37}, {6,35}, {11,42}, {3,36}, {9,21}, {7,42}, {14,27}, {8,29}, {4,32}, {11,18}, {12,21} }; // ETB48.105 // Bipartite(16,32) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[48][105]:={ {6,48}, {2,44}, {10,25}, {1,20}, {10,24}, {6,32}, {4,27}, {2,46}, {11,35}, {5,34}, {15,24}, {3,40}, {15,46}, {10,37}, {16,27}, {7,48}, {8,43}, {9,45}, {5,38}, {15,31}, {8,33}, {3,43}, {3,25}, {1,40}, {4,19}, {16,19}, {2,19}, {10,33}, {12,42}, {5,47}, {9,43}, {3,37}, {13,35}, {2,26}, {14,31}, {15,47}, {16,18}, {7,36}, {8,25}, {13,47}, {2,28}, {1,30}, {16,23}, {9,35}, {14,28}, {4,23}, {8,27}, {12,37}, {16,29}, {2,42}, {6,22}, {11,28}, {16,43}, {6,29}, {4,38}, {10,48}, {2,34}, {1,17}, {5,22}, {4,22}, {9,29}, {7,20}, {14,21}, {14,36}, {12,17}, {9,27}, {12,20}, {12,36}, {15,40}, {1,44}, {4,41}, {8,41}, {2,38}, {12,46}, {9,19}, {12,44}, {8,45}, {14,40}, {9,41}, {7,32}, {15,26}, {1,31}, {10,41}, {7,43}, {11,31}, {14,24}, {2,35}, {11,44}, {5,23}, {10,29}, {3,20}, {9,34}, {13,22}, {15,42}, {10,21}, {6,18}, {10,40}, {8,17}, {13,31}, {3,32}, {4,35}, {9,25}, {8,36}, {5,18}, {16,32}, {11,23}, {13,44}, {5,30}, {14,47}, {7,17}, {11,30}, {4,48}, {5,46}, {13,23}, {12,28}, {15,37}, {14,42}, {13,28}, {1,28}, {3,27}, {14,37}, {4,43}, {1,33}, {15,17}, {10,45}, {6,23}, {16,48}, {8,37}, {5,42}, {12,26}, {9,22}, {12,33}, {16,45}, {8,21}, {1,24}, {5,31}, {11,39}, {12,30}, {10,32}, {3,21}, {1,46}, {11,46}, {7,29}, {6,41}, {13,42}, {14,20}, {15,21}, {16,34}, {5,39}, {13,26}, {13,19}, {9,18}, {10,17}, {3,24}, {16,35}, {6,45}, {2,22}, {14,44}, {3,48}, {15,33}, {6,25}, {1,47}, {6,38}, {6,34}, {11,47}, {5,26}, {16,39}, {13,38}, {9,38}, {11,19}, {4,25}, {8,20}, {7,27}, {7,45}, {3,41}, {7,24}, {6,39}, {7,33}, {11,34}, {13,39}, {2,30}, {15,30}, {2,18}, {3,36}, {4,39}, {7,40}, {8,29}, {4,32}, {11,18}, {12,21}, {1,36}, {14,26} }; // ETB48.106 // Bipartite(16,32) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[48][106]:={ {6,48}, {8,48}, {2,44}, {11,17}, {3,33}, {16,41}, {6,32}, {4,27}, {5,34}, {4,24}, {14,19}, {16,33}, {4,30}, {16,27}, {8,30}, {14,39}, {2,23}, {8,43}, {15,31}, {8,33}, {7,44}, {1,40}, {10,26}, {12,42}, {3,37}, {13,35}, {14,31}, {8,39}, {7,34}, {15,47}, {16,25}, {12,35}, {7,36}, {15,43}, {10,44}, {2,41}, {2,28}, {1,30}, {5,32}, {14,28}, {8,27}, {12,37}, {13,29}, {16,29}, {10,22}, {16,43}, {10,30}, {3,17}, {6,21}, {2,25}, {14,23}, {11,38}, {3,46}, {11,33}, {6,40}, {1,38}, {14,33}, {1,17}, {2,36}, {9,47}, {10,38}, {8,19}, {7,20}, {5,29}, {2,38}, {9,41}, {2,39}, {15,26}, {1,31}, {11,22}, {10,28}, {1,22}, {15,27}, {3,44}, {5,23}, {3,20}, {9,34}, {13,22}, {15,42}, {2,20}, {13,18}, {2,48}, {16,37}, {12,43}, {8,17}, {9,25}, {2,32}, {5,18}, {13,43}, {11,29}, {6,24}, {14,47}, {6,44}, {9,37}, {12,47}, {4,48}, {5,48}, {13,25}, {8,35}, {10,42}, {15,20}, {10,46}, {4,43}, {1,33}, {4,46}, {3,26}, {15,36}, {5,42}, {12,26}, {7,31}, {4,36}, {7,47}, {12,27}, {14,17}, {8,32}, {16,45}, {1,24}, {11,24}, {12,19}, {12,40}, {8,23}, {3,21}, {1,25}, {6,19}, {1,46}, {7,29}, {6,41}, {6,28}, {9,30}, {13,27}, {5,39}, {16,17}, {16,21}, {7,28}, {11,26}, {14,45}, {4,40}, {10,35}, {13,19}, {16,36}, {3,30}, {9,18}, {2,22}, {4,34}, {14,44}, {10,34}, {15,22}, {11,32}, {10,18}, {16,20}, {6,25}, {13,41}, {1,47}, {11,40}, {15,38}, {5,26}, {3,42}, {4,18}, {9,39}, {13,38}, {10,19}, {11,45}, {11,48}, {4,20}, {12,24}, {3,28}, {7,45}, {8,46}, {14,35}, {15,23}, {1,41}, {5,45}, {7,24}, {15,39}, {9,46}, {12,31}, {6,37}, {13,34}, {5,21}, {13,45}, {9,31}, {5,37}, {6,35}, {11,42}, {3,36}, {9,21}, {7,40}, {9,23}, {4,32}, {12,21}, {14,29}, {7,18} }; // ETB48.107 // Bipartite(16,32) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 754974720 EdgesBipt[48][107]:={ {11,17}, {8,48}, {3,33}, {2,24}, {5,17}, {11,20}, {11,36}, {4,27}, {15,24}, {16,26}, {3,40}, {10,37}, {11,25}, {8,30}, {16,40}, {9,45}, {5,38}, {12,22}, {12,32}, {8,28}, {4,29}, {1,32}, {3,45}, {1,27}, {12,38}, {7,44}, {10,26}, {12,39}, {3,35}, {5,20}, {9,43}, {3,37}, {14,31}, {7,34}, {11,41}, {12,35}, {10,44}, {8,25}, {1,30}, {16,23}, {9,35}, {14,28}, {8,44}, {13,29}, {16,29}, {10,22}, {15,25}, {10,30}, {3,17}, {4,38}, {6,47}, {5,40}, {3,46}, {11,33}, {6,31}, {6,40}, {2,34}, {14,33}, {1,17}, {2,36}, {9,47}, {5,22}, {4,22}, {10,38}, {9,29}, {8,19}, {1,18}, {10,47}, {12,17}, {16,24}, {9,26}, {9,27}, {15,40}, {4,41}, {8,41}, {9,19}, {2,37}, {5,43}, {7,39}, {15,26}, {4,45}, {7,43}, {10,28}, {6,30}, {6,43}, {4,21}, {10,31}, {13,22}, {15,19}, {15,42}, {10,21}, {9,42}, {2,20}, {13,18}, {2,48}, {11,21}, {15,41}, {8,36}, {2,32}, {16,32}, {11,23}, {6,24}, {14,47}, {6,46}, {15,35}, {5,24}, {12,47}, {4,48}, {13,23}, {15,34}, {8,35}, {10,42}, {9,20}, {14,41}, {10,46}, {4,43}, {1,33}, {3,29}, {6,23}, {16,48}, {1,43}, {5,28}, {13,36}, {12,33}, {13,30}, {14,17}, {8,32}, {16,45}, {1,42}, {3,19}, {14,18}, {12,23}, {6,27}, {11,39}, {5,44}, {12,19}, {14,34}, {5,36}, {3,21}, {1,46}, {16,44}, {6,41}, {13,46}, {14,25}, {7,28}, {4,37}, {11,26}, {14,45}, {15,18}, {7,23}, {2,21}, {3,30}, {5,33}, {11,37}, {3,24}, {1,26}, {14,44}, {15,22}, {2,47}, {6,25}, {2,40}, {2,31}, {9,36}, {16,42}, {5,27}, {15,38}, {16,39}, {13,38}, {12,48}, {4,25}, {8,20}, {7,27}, {8,46}, {1,48}, {6,39}, {12,31}, {13,34}, {7,35}, {13,39}, {13,45}, {13,20}, {7,37}, {2,18}, {9,31}, {1,34}, {7,19}, {11,42}, {16,28}, {7,21}, {4,32}, {14,29}, {7,18} }; // ETB48.108 // Bipartite(16,32) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 50331648 EdgesBipt[48][108]:={ {6,48}, {8,48}, {3,33}, {16,41}, {10,24}, {5,17}, {2,24}, {11,20}, {6,32}, {11,36}, {4,27}, {2,46}, {13,21}, {11,35}, {4,24}, {10,37}, {11,25}, {7,48}, {14,39}, {8,43}, {5,38}, {12,22}, {16,47}, {8,42}, {16,31}, {15,31}, {3,43}, {3,25}, {12,38}, {7,41}, {7,44}, {4,19}, {2,19}, {12,41}, {10,33}, {12,42}, {5,20}, {15,48}, {14,31}, {11,41}, {15,47}, {16,25}, {12,34}, {9,35}, {8,27}, {3,18}, {3,17}, {2,45}, {16,30}, {4,38}, {3,34}, {14,23}, {3,46}, {10,48}, {2,34}, {1,17}, {5,22}, {4,22}, {1,18}, {10,47}, {15,32}, {9,26}, {12,20}, {12,36}, {1,44}, {5,29}, {9,19}, {2,37}, {8,45}, {14,30}, {14,40}, {7,39}, {9,41}, {7,32}, {1,31}, {7,25}, {11,31}, {14,24}, {2,35}, {6,30}, {4,33}, {5,23}, {10,31}, {15,19}, {10,21}, {9,42}, {13,18}, {16,37}, {10,40}, {1,29}, {3,32}, {4,35}, {9,25}, {13,43}, {11,29}, {13,44}, {5,30}, {14,47}, {6,44}, {6,46}, {15,35}, {9,37}, {5,46}, {13,23}, {12,25}, {8,22}, {1,45}, {14,42}, {15,34}, {13,28}, {1,28}, {3,27}, {4,28}, {1,33}, {4,43}, {16,38}, {8,37}, {13,36}, {8,26}, {12,26}, {16,22}, {8,32}, {8,21}, {1,42}, {6,26}, {12,40}, {10,32}, {5,36}, {6,19}, {16,44}, {7,29}, {6,28}, {13,27}, {5,39}, {16,21}, {7,28}, {6,42}, {15,18}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {10,17}, {2,29}, {11,27}, {8,38}, {1,26}, {10,36}, {3,48}, {15,22}, {9,17}, {1,47}, {2,40}, {9,33}, {11,47}, {14,43}, {15,38}, {16,46}, {9,39}, {11,19}, {11,45}, {12,24}, {7,45}, {15,23}, {13,37}, {5,45}, {3,41}, {7,24}, {15,39}, {10,20}, {14,46}, {13,34}, {6,20}, {13,39}, {11,43}, {2,30}, {13,20}, {2,18}, {1,34}, {4,17}, {6,35}, {9,21}, {16,28}, {7,40}, {4,44}, {9,23}, {14,27}, {8,29}, {12,18}, {14,26} }; // ETB48.109 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 36864 EdgesBipt[48][109]:={ {24,34}, {15,33}, {15,38}, {9,32}, {5,38}, {19,26}, {5,43}, {3,26}, {8,26}, {22,40}, {13,37}, {1,40}, {14,38}, {13,39}, {15,44}, {4,31}, {3,35}, {20,46}, {21,41}, {24,36}, {10,39}, {16,37}, {16,28}, {5,32}, {1,35}, {15,41}, {8,31}, {2,46}, {13,43}, {24,48}, {13,27}, {14,29}, {14,44}, {2,33}, {6,32}, {4,38}, {10,42}, {6,29}, {10,47}, {20,38}, {12,28}, {19,31}, {2,25}, {12,48}, {21,40}, {16,42}, {16,48}, {15,32}, {23,45}, {4,30}, {9,33}, {7,45}, {8,46}, {24,46}, {12,38}, {23,31}, {12,26}, {7,27}, {23,36}, {11,39}, {7,33}, {12,31}, {12,40}, {23,28}, {24,30}, {20,39}, {22,25}, {18,35}, {24,31}, {23,43}, {9,35}, {19,42}, {16,34}, {16,43}, {15,45}, {18,39}, {6,44}, {8,38}, {17,47}, {17,36}, {2,29}, {18,46}, {14,32}, {2,36}, {20,36}, {13,41}, {16,40}, {22,34}, {24,37}, {6,34}, {1,43}, {18,33}, {22,43}, {3,38}, {15,28}, {5,28}, {20,41}, {14,46}, {2,39}, {9,46}, {24,40}, {14,35}, {3,47}, {1,42}, {19,38}, {3,31}, {19,47}, {7,37}, {11,42}, {5,35}, {14,34}, {8,48}, {20,25}, {2,44}, {1,30}, {19,27}, {6,36}, {23,39}, {16,29}, {11,36}, {3,30}, {13,48}, {1,47}, {22,48}, {10,36}, {10,38}, {11,33}, {13,25}, {21,31}, {4,41}, {8,41}, {18,38}, {21,37}, {17,31}, {13,36}, {4,45}, {22,29}, {12,41}, {11,44}, {13,45}, {4,47}, {3,44}, {23,48}, {7,35}, {19,45}, {11,46}, {2,27}, {12,30}, {4,33}, {18,25}, {24,25}, {1,25}, {20,30}, {9,30}, {5,39}, {14,27}, {22,45}, {6,45}, {20,44}, {17,44}, {13,29}, {8,34}, {9,25}, {17,30}, {10,30}, {12,45}, {10,25}, {15,35}, {16,26}, {3,42}, {18,31}, {14,40}, {24,43}, {9,41}, {15,39}, {22,41}, {1,32}, {9,44}, {19,29}, {6,37}, {24,27}, {10,28}, {17,25}, {20,48}, {19,34}, {4,44}, {7,40}, {17,41}, {12,43}, {20,32}, {23,37}, {7,29}, {18,30}, {14,47}, {8,29}, {22,38}, {8,36}, {8,27}, {21,46}, {5,46}, {6,47}, {16,36}, {13,32}, {1,45}, {11,30}, {19,39}, {9,28}, {3,34}, {4,27}, {19,43}, {16,46}, {15,29}, {11,47}, {20,28}, {21,33}, {1,33}, {18,27}, {5,26}, {7,47}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {17,34}, {21,35}, {15,47}, {11,31}, {21,44}, {6,26}, {22,27}, {21,27}, {7,42}, {6,41}, {21,29}, {17,40}, {12,34}, {8,44}, {19,36}, {23,30}, {6,28}, {21,48}, {4,35}, {13,33}, {18,43}, {14,25}, {20,34}, {7,26}, {11,37}, {23,33}, {11,28}, {2,47}, {14,42}, {10,34}, {3,40}, {17,27}, {10,45}, {17,45}, {17,37}, {1,28}, {5,42}, {22,35}, {10,43}, {7,43}, {9,40}, {24,42}, {15,26}, {8,39}, {22,32}, {23,41}, {10,32}, {4,39}, {12,35}, {23,26}, {21,26}, {1,37}, {2,42}, {18,42}, {16,32}, {2,32}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {9,37}, {6,40} }; // ETB48.110 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[48][110]:={ {15,33}, {19,28}, {11,40}, {10,37}, {14,36}, {5,38}, {5,43}, {5,45}, {8,26}, {22,40}, {1,40}, {14,38}, {15,44}, {11,43}, {2,35}, {17,33}, {8,40}, {10,33}, {15,27}, {10,39}, {6,48}, {3,39}, {16,37}, {20,37}, {16,28}, {4,37}, {2,46}, {13,27}, {10,48}, {24,28}, {13,40}, {14,44}, {2,33}, {17,35}, {10,42}, {19,40}, {20,26}, {22,37}, {12,28}, {12,48}, {21,40}, {4,43}, {18,32}, {16,48}, {15,32}, {23,45}, {8,30}, {23,38}, {12,46}, {8,46}, {8,37}, {24,46}, {21,38}, {12,38}, {7,41}, {7,27}, {12,42}, {6,39}, {23,36}, {22,42}, {12,31}, {20,29}, {17,26}, {13,47}, {24,30}, {2,48}, {15,30}, {22,25}, {20,39}, {24,47}, {16,25}, {24,31}, {23,43}, {9,35}, {1,36}, {1,29}, {19,42}, {6,46}, {16,43}, {10,35}, {15,45}, {6,44}, {24,26}, {17,47}, {9,47}, {2,29}, {1,38}, {18,46}, {14,32}, {13,41}, {20,36}, {20,42}, {22,34}, {24,37}, {6,34}, {9,29}, {8,42}, {18,26}, {18,36}, {22,43}, {5,27}, {3,43}, {24,41}, {14,46}, {1,42}, {19,38}, {1,31}, {19,47}, {7,37}, {11,42}, {3,36}, {8,48}, {4,32}, {14,28}, {6,36}, {23,39}, {16,29}, {11,36}, {3,30}, {1,47}, {22,48}, {14,33}, {15,37}, {21,25}, {13,25}, {14,39}, {19,30}, {11,48}, {4,41}, {18,38}, {7,46}, {17,31}, {13,36}, {4,45}, {20,31}, {4,47}, {24,39}, {3,25}, {11,34}, {21,42}, {17,28}, {7,35}, {19,45}, {22,30}, {2,43}, {2,27}, {6,30}, {7,34}, {9,31}, {10,29}, {1,25}, {5,39}, {3,32}, {22,45}, {16,41}, {20,44}, {13,29}, {8,34}, {9,25}, {17,30}, {20,47}, {23,47}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {21,32}, {12,25}, {1,44}, {13,38}, {23,27}, {24,35}, {19,44}, {9,41}, {16,31}, {3,41}, {4,36}, {15,39}, {4,29}, {6,37}, {8,32}, {5,31}, {7,40}, {2,41}, {17,41}, {2,26}, {18,41}, {7,29}, {18,30}, {14,47}, {13,44}, {8,27}, {21,46}, {3,48}, {13,32}, {1,45}, {23,32}, {11,30}, {19,33}, {9,28}, {3,34}, {4,27}, {16,46}, {2,31}, {11,45}, {18,27}, {21,33}, {12,36}, {12,44}, {5,26}, {19,25}, {7,47}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {12,39}, {20,27}, {21,35}, {15,47}, {11,31}, {21,44}, {19,35}, {13,34}, {6,26}, {15,42}, {1,34}, {21,27}, {21,29}, {17,40}, {24,44}, {8,44}, {23,30}, {6,28}, {6,42}, {21,48}, {19,32}, {18,43}, {14,25}, {20,34}, {7,26}, {20,45}, {23,33}, {11,28}, {16,35}, {10,27}, {16,33}, {8,35}, {10,45}, {2,40}, {17,45}, {9,45}, {14,41}, {16,39}, {1,28}, {5,42}, {2,38}, {22,35}, {10,43}, {7,44}, {18,40}, {9,40}, {15,26}, {9,43}, {3,37}, {22,32}, {23,41}, {5,36}, {9,34}, {24,33}, {10,32}, {13,46}, {4,39}, {23,26}, {17,43}, {22,28}, {18,34}, {18,48}, {11,26}, {3,46}, {5,48}, {5,33}, {11,38}, {9,37} }; // ETB48.111 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[48][111]:={ {24,34}, {15,33}, {18,45}, {7,48}, {6,38}, {15,38}, {14,36}, {6,25}, {23,29}, {5,38}, {11,25}, {3,26}, {8,26}, {22,40}, {13,37}, {1,40}, {14,38}, {17,42}, {13,39}, {15,44}, {11,43}, {17,33}, {8,40}, {21,30}, {15,27}, {24,32}, {21,41}, {24,36}, {14,45}, {6,48}, {19,37}, {3,39}, {16,37}, {21,28}, {16,28}, {1,35}, {15,41}, {4,40}, {13,27}, {14,29}, {10,48}, {23,44}, {14,44}, {17,35}, {4,38}, {11,35}, {11,29}, {20,38}, {2,34}, {20,26}, {2,25}, {21,40}, {4,43}, {16,48}, {15,32}, {12,46}, {24,46}, {5,41}, {7,41}, {13,30}, {12,42}, {23,36}, {6,39}, {11,39}, {10,26}, {23,28}, {12,40}, {20,29}, {13,47}, {24,30}, {15,30}, {22,25}, {20,39}, {24,47}, {18,35}, {16,25}, {13,42}, {12,37}, {16,34}, {6,46}, {15,45}, {18,39}, {24,26}, {8,38}, {13,26}, {17,47}, {2,29}, {5,34}, {14,32}, {2,36}, {20,36}, {20,42}, {24,37}, {9,36}, {9,39}, {8,42}, {18,26}, {18,33}, {3,38}, {19,46}, {3,43}, {5,28}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {19,47}, {12,27}, {7,37}, {6,27}, {3,36}, {17,29}, {8,48}, {4,32}, {2,44}, {1,30}, {21,45}, {19,27}, {12,47}, {23,39}, {6,36}, {16,29}, {3,30}, {1,47}, {10,36}, {14,33}, {10,38}, {10,46}, {11,33}, {14,39}, {21,31}, {11,48}, {21,37}, {7,46}, {8,45}, {17,31}, {4,45}, {13,45}, {24,39}, {17,28}, {7,35}, {11,46}, {22,30}, {6,30}, {22,44}, {7,34}, {9,31}, {17,46}, {1,25}, {22,31}, {9,30}, {14,27}, {16,41}, {7,28}, {20,44}, {19,41}, {9,25}, {10,30}, {20,47}, {5,40}, {23,47}, {4,34}, {17,38}, {15,35}, {12,29}, {6,31}, {12,25}, {15,40}, {3,42}, {1,44}, {19,44}, {18,31}, {24,43}, {16,31}, {16,45}, {23,34}, {4,36}, {22,41}, {4,29}, {19,29}, {6,43}, {8,32}, {24,27}, {5,31}, {17,25}, {16,44}, {7,40}, {12,43}, {20,32}, {10,40}, {23,37}, {7,29}, {18,30}, {2,28}, {8,29}, {22,38}, {13,44}, {2,45}, {5,46}, {3,33}, {16,36}, {13,32}, {1,45}, {23,32}, {19,33}, {19,39}, {4,27}, {18,28}, {8,43}, {2,31}, {20,28}, {19,25}, {5,26}, {4,42}, {10,41}, {4,25}, {3,28}, {21,34}, {8,33}, {5,47}, {21,35}, {22,33}, {11,31}, {20,33}, {21,44}, {15,48}, {19,35}, {11,41}, {22,27}, {1,34}, {13,35}, {6,41}, {17,40}, {12,34}, {21,48}, {19,32}, {13,33}, {18,43}, {23,46}, {14,25}, {7,26}, {20,45}, {11,37}, {11,28}, {2,47}, {10,27}, {10,34}, {8,35}, {2,40}, {9,45}, {14,41}, {22,46}, {16,39}, {9,27}, {2,38}, {12,32}, {22,35}, {10,43}, {8,28}, {7,43}, {24,42}, {1,27}, {5,44}, {15,26}, {9,43}, {22,47}, {23,41}, {9,42}, {5,36}, {9,34}, {10,32}, {12,35}, {23,26}, {17,43}, {21,26}, {14,48}, {1,37}, {2,42}, {18,42}, {4,48}, {6,33}, {18,48}, {3,46}, {9,48}, {18,37}, {5,30}, {9,37} }; // ETB48.112 // Bipartite(24,24) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 18432 EdgesBipt[48][112]:={ {24,34}, {7,48}, {11,40}, {10,37}, {16,47}, {15,38}, {14,36}, {9,32}, {23,29}, {5,38}, {4,28}, {8,26}, {13,37}, {14,38}, {4,31}, {8,40}, {14,31}, {24,32}, {21,41}, {14,45}, {6,48}, {3,39}, {16,37}, {16,28}, {8,31}, {4,37}, {2,46}, {13,43}, {13,27}, {23,44}, {24,28}, {13,40}, {14,44}, {2,33}, {17,35}, {6,32}, {11,35}, {11,29}, {11,27}, {20,38}, {19,40}, {20,26}, {22,37}, {12,28}, {12,48}, {18,32}, {20,43}, {8,46}, {24,46}, {17,39}, {7,41}, {6,39}, {11,39}, {12,40}, {17,26}, {15,30}, {16,25}, {24,31}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,29}, {19,42}, {12,37}, {16,34}, {6,46}, {15,45}, {10,35}, {18,39}, {6,44}, {13,26}, {17,47}, {9,47}, {1,38}, {18,46}, {1,26}, {2,36}, {16,40}, {22,34}, {9,36}, {18,36}, {22,43}, {3,38}, {5,27}, {3,43}, {15,28}, {24,41}, {20,41}, {24,40}, {3,47}, {1,42}, {19,38}, {19,47}, {2,30}, {11,42}, {5,35}, {3,36}, {17,29}, {1,30}, {21,45}, {19,27}, {23,39}, {23,40}, {11,36}, {13,48}, {22,48}, {21,47}, {10,36}, {14,33}, {10,38}, {15,34}, {10,46}, {21,25}, {14,39}, {21,31}, {19,30}, {11,48}, {9,38}, {9,26}, {21,37}, {7,46}, {8,45}, {3,29}, {1,41}, {4,45}, {12,41}, {4,47}, {13,45}, {24,39}, {3,25}, {23,48}, {19,45}, {2,43}, {2,27}, {6,30}, {22,44}, {7,34}, {9,31}, {10,44}, {10,29}, {18,25}, {17,46}, {1,25}, {22,31}, {20,30}, {3,32}, {14,27}, {16,41}, {7,28}, {17,44}, {13,29}, {9,25}, {10,30}, {20,47}, {5,40}, {23,47}, {16,30}, {12,45}, {4,34}, {17,38}, {15,35}, {12,29}, {12,25}, {3,42}, {19,44}, {9,41}, {16,31}, {23,34}, {4,36}, {15,39}, {4,29}, {21,39}, {6,37}, {8,32}, {24,27}, {10,28}, {5,31}, {19,34}, {16,44}, {4,44}, {7,40}, {17,41}, {20,32}, {2,26}, {18,41}, {7,29}, {18,30}, {22,38}, {8,36}, {5,46}, {3,33}, {13,32}, {14,26}, {1,45}, {11,30}, {16,46}, {11,47}, {8,43}, {2,31}, {20,28}, {21,33}, {1,33}, {18,27}, {12,36}, {12,44}, {19,25}, {2,37}, {4,42}, {5,29}, {14,30}, {3,28}, {7,31}, {12,33}, {17,34}, {21,35}, {22,33}, {20,33}, {15,48}, {13,34}, {11,41}, {6,26}, {22,27}, {1,34}, {15,42}, {13,35}, {21,43}, {21,27}, {21,29}, {8,44}, {19,36}, {23,30}, {6,28}, {6,42}, {19,32}, {18,43}, {7,26}, {20,45}, {23,33}, {11,28}, {2,47}, {16,35}, {10,27}, {17,27}, {10,45}, {8,35}, {2,40}, {14,41}, {4,26}, {23,25}, {7,38}, {5,42}, {12,32}, {10,43}, {15,31}, {7,43}, {24,42}, {20,40}, {5,44}, {5,25}, {22,47}, {1,46}, {8,39}, {22,32}, {9,42}, {24,33}, {15,43}, {4,39}, {7,36}, {6,35}, {17,32}, {23,26}, {14,48}, {22,28}, {1,37}, {8,25}, {2,42}, {6,33}, {18,34}, {18,48}, {3,46}, {9,48}, {5,48}, {15,25}, {5,33}, {18,37}, {9,37} }; // ETB48.113 // Bipartite(24,24) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 18432 EdgesBipt[48][113]:={ {15,33}, {18,45}, {19,28}, {6,38}, {6,25}, {19,26}, {11,25}, {5,43}, {5,45}, {3,26}, {22,40}, {1,40}, {17,42}, {13,39}, {15,44}, {11,43}, {2,35}, {17,33}, {3,35}, {20,46}, {10,33}, {21,30}, {15,27}, {24,36}, {10,39}, {19,37}, {20,37}, {21,28}, {5,32}, {1,35}, {7,30}, {15,41}, {4,40}, {24,48}, {14,29}, {10,48}, {4,38}, {10,42}, {6,29}, {10,47}, {2,34}, {19,31}, {2,25}, {21,40}, {4,43}, {16,42}, {16,48}, {15,32}, {23,45}, {4,30}, {8,30}, {23,38}, {12,46}, {9,33}, {7,45}, {8,37}, {5,41}, {21,38}, {12,38}, {23,31}, {12,26}, {13,30}, {7,27}, {12,42}, {23,36}, {10,26}, {22,42}, {7,33}, {12,31}, {19,48}, {20,29}, {23,28}, {13,47}, {24,30}, {2,48}, {20,39}, {22,25}, {5,37}, {24,47}, {18,35}, {1,36}, {23,42}, {16,43}, {24,26}, {8,38}, {17,36}, {2,29}, {5,34}, {18,47}, {14,32}, {13,41}, {20,36}, {20,42}, {24,37}, {18,29}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {18,26}, {18,33}, {19,46}, {5,28}, {14,46}, {2,39}, {9,46}, {14,35}, {7,32}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {6,27}, {14,34}, {8,48}, {20,25}, {4,32}, {2,44}, {14,28}, {12,47}, {6,36}, {16,29}, {3,30}, {1,47}, {22,26}, {15,37}, {11,33}, {13,25}, {8,47}, {4,41}, {8,41}, {18,38}, {17,31}, {13,36}, {22,29}, {20,31}, {3,44}, {11,44}, {11,34}, {21,42}, {17,28}, {7,35}, {11,46}, {22,30}, {12,30}, {4,33}, {10,31}, {24,25}, {23,35}, {13,31}, {9,30}, {5,39}, {24,38}, {18,44}, {22,45}, {6,45}, {20,44}, {19,41}, {8,34}, {15,46}, {17,30}, {10,25}, {6,31}, {11,32}, {21,32}, {16,26}, {15,40}, {14,43}, {14,37}, {1,44}, {13,38}, {23,27}, {24,35}, {18,31}, {14,40}, {1,48}, {24,43}, {16,45}, {7,39}, {3,41}, {22,41}, {1,32}, {9,44}, {24,29}, {19,29}, {6,43}, {22,39}, {17,25}, {20,48}, {2,41}, {12,43}, {10,40}, {23,37}, {14,47}, {2,28}, {8,29}, {13,44}, {8,27}, {2,45}, {21,46}, {6,47}, {3,48}, {16,36}, {23,32}, {19,33}, {19,39}, {9,28}, {3,34}, {4,27}, {19,43}, {18,28}, {15,29}, {4,46}, {16,38}, {11,45}, {16,27}, {3,45}, {5,26}, {7,47}, {10,41}, {4,25}, {21,34}, {8,33}, {12,39}, {5,47}, {20,27}, {15,47}, {11,31}, {21,44}, {19,35}, {7,25}, {7,42}, {6,41}, {17,40}, {24,44}, {12,34}, {4,35}, {21,48}, {13,33}, {23,46}, {14,25}, {20,34}, {11,37}, {14,42}, {10,34}, {16,33}, {3,40}, {17,45}, {9,45}, {22,46}, {17,37}, {16,39}, {13,28}, {1,28}, {3,27}, {9,27}, {2,38}, {15,36}, {22,35}, {21,36}, {7,44}, {8,28}, {18,40}, {9,40}, {1,27}, {15,26}, {22,36}, {9,43}, {3,37}, {23,41}, {5,36}, {9,34}, {10,32}, {13,46}, {12,35}, {17,43}, {21,26}, {18,42}, {16,32}, {4,48}, {2,32}, {11,26}, {17,48}, {5,30}, {11,38}, {6,40} }; // ETB48.114 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 380160 EdgesBipt[48][114]:={ {24,34}, {19,28}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {9,32}, {6,25}, {23,29}, {19,26}, {11,25}, {5,43}, {8,26}, {13,37}, {1,40}, {14,38}, {17,42}, {13,39}, {11,43}, {2,35}, {17,33}, {4,31}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {24,32}, {21,41}, {14,45}, {16,37}, {19,37}, {3,39}, {20,37}, {16,28}, {15,41}, {4,37}, {13,43}, {24,48}, {13,27}, {14,29}, {10,48}, {23,44}, {24,28}, {14,44}, {11,35}, {11,29}, {6,29}, {11,27}, {19,40}, {2,34}, {12,28}, {19,31}, {12,48}, {4,43}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {8,37}, {21,38}, {23,31}, {6,39}, {23,36}, {22,42}, {17,26}, {24,30}, {22,25}, {5,37}, {18,35}, {24,45}, {1,36}, {1,29}, {23,42}, {12,37}, {16,34}, {6,46}, {15,45}, {10,35}, {6,44}, {24,26}, {13,26}, {17,47}, {17,36}, {2,29}, {18,47}, {18,46}, {13,41}, {20,36}, {22,34}, {24,37}, {9,36}, {8,42}, {3,38}, {19,46}, {3,43}, {15,28}, {5,28}, {20,41}, {9,46}, {24,40}, {14,35}, {3,47}, {1,42}, {7,32}, {19,47}, {6,27}, {11,42}, {20,25}, {2,44}, {14,28}, {6,36}, {23,40}, {3,30}, {13,48}, {1,47}, {22,48}, {14,33}, {15,34}, {11,33}, {14,39}, {21,31}, {11,48}, {8,47}, {9,38}, {9,26}, {18,38}, {7,46}, {17,31}, {13,36}, {4,45}, {12,41}, {4,47}, {13,45}, {3,25}, {23,48}, {11,46}, {22,30}, {2,27}, {22,44}, {7,34}, {10,31}, {10,44}, {18,25}, {1,25}, {20,30}, {9,30}, {5,39}, {3,32}, {18,44}, {22,45}, {16,41}, {7,28}, {19,41}, {13,29}, {17,30}, {10,30}, {20,47}, {16,30}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {11,32}, {16,26}, {12,25}, {15,40}, {1,44}, {23,27}, {24,35}, {18,31}, {24,43}, {9,41}, {16,31}, {16,45}, {7,39}, {3,41}, {23,34}, {4,29}, {9,44}, {1,32}, {21,39}, {19,29}, {8,32}, {22,39}, {5,31}, {16,44}, {2,41}, {20,32}, {2,26}, {10,40}, {23,37}, {7,29}, {18,30}, {22,38}, {8,27}, {21,46}, {2,45}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {14,26}, {1,45}, {19,33}, {9,28}, {4,27}, {19,43}, {18,28}, {15,29}, {1,33}, {3,45}, {12,44}, {7,47}, {4,42}, {10,41}, {4,25}, {3,28}, {21,34}, {8,33}, {12,39}, {20,27}, {21,35}, {15,48}, {19,35}, {22,27}, {21,43}, {21,27}, {7,42}, {6,41}, {17,40}, {12,34}, {8,44}, {21,48}, {4,35}, {13,33}, {23,46}, {20,34}, {7,26}, {2,47}, {14,42}, {10,27}, {17,27}, {10,45}, {8,35}, {2,40}, {17,45}, {16,39}, {1,28}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {7,43}, {18,40}, {9,40}, {24,42}, {20,40}, {5,25}, {22,36}, {8,39}, {22,32}, {5,36}, {15,43}, {4,39}, {12,35}, {7,36}, {23,26}, {17,43}, {21,26}, {14,48}, {1,37}, {18,42}, {6,33}, {2,32}, {18,34}, {9,48}, {5,48}, {15,25}, {5,33}, {5,30}, {11,38} }; // ETB48.115 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 1155526618093977600000000 EdgesBipt[48][115]:={ {7,48}, {19,28}, {6,38}, {11,40}, {16,47}, {14,36}, {5,38}, {5,45}, {22,40}, {13,37}, {14,38}, {17,42}, {15,44}, {11,43}, {17,33}, {4,31}, {3,35}, {21,30}, {15,27}, {21,41}, {6,48}, {3,39}, {16,37}, {20,37}, {8,31}, {4,37}, {2,46}, {10,48}, {23,44}, {14,44}, {6,32}, {11,35}, {10,42}, {11,27}, {19,40}, {2,34}, {19,31}, {4,43}, {18,32}, {15,32}, {9,33}, {20,43}, {8,37}, {5,41}, {21,38}, {23,31}, {13,30}, {7,27}, {23,36}, {11,39}, {10,26}, {22,42}, {12,31}, {23,28}, {20,29}, {19,48}, {17,26}, {2,48}, {20,39}, {5,37}, {24,47}, {16,25}, {24,31}, {24,45}, {23,43}, {20,35}, {13,42}, {1,29}, {12,37}, {6,46}, {16,43}, {6,44}, {13,26}, {5,34}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {13,41}, {22,34}, {24,37}, {6,34}, {9,29}, {18,26}, {18,36}, {3,43}, {15,28}, {24,41}, {20,41}, {14,46}, {9,46}, {3,47}, {1,42}, {7,32}, {3,31}, {19,47}, {12,27}, {2,30}, {14,34}, {3,36}, {17,29}, {20,25}, {2,44}, {1,30}, {21,45}, {19,27}, {14,28}, {12,47}, {23,39}, {6,36}, {23,40}, {16,29}, {11,36}, {22,48}, {22,26}, {10,36}, {10,38}, {10,46}, {21,25}, {13,25}, {11,48}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {18,38}, {21,37}, {8,45}, {1,41}, {4,45}, {12,41}, {20,31}, {13,45}, {4,47}, {3,44}, {11,44}, {24,39}, {23,48}, {21,42}, {7,35}, {22,30}, {6,30}, {4,33}, {22,44}, {10,44}, {24,25}, {17,46}, {1,25}, {23,35}, {9,30}, {3,32}, {18,44}, {16,41}, {7,28}, {13,29}, {9,25}, {17,30}, {10,30}, {20,47}, {23,47}, {12,45}, {17,38}, {15,35}, {12,29}, {11,32}, {12,25}, {15,40}, {13,38}, {23,27}, {24,35}, {19,44}, {14,40}, {24,43}, {9,41}, {16,31}, {16,45}, {7,39}, {15,39}, {4,29}, {24,29}, {24,27}, {10,28}, {17,25}, {7,40}, {17,41}, {12,43}, {2,26}, {10,40}, {18,30}, {2,28}, {8,29}, {22,38}, {8,27}, {21,46}, {5,46}, {3,48}, {14,26}, {1,45}, {23,32}, {19,39}, {4,27}, {19,43}, {18,28}, {11,47}, {8,43}, {1,33}, {21,33}, {16,27}, {5,26}, {7,47}, {5,29}, {4,25}, {14,30}, {21,34}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {20,27}, {17,34}, {15,47}, {11,31}, {20,33}, {15,48}, {19,35}, {13,34}, {6,26}, {1,34}, {21,29}, {19,36}, {6,28}, {6,42}, {4,35}, {19,32}, {13,33}, {20,45}, {11,28}, {16,35}, {14,42}, {10,34}, {16,33}, {3,40}, {8,35}, {2,40}, {17,45}, {9,45}, {22,46}, {17,37}, {16,39}, {3,27}, {5,42}, {2,38}, {15,36}, {15,31}, {7,44}, {7,43}, {18,40}, {5,25}, {22,36}, {1,46}, {8,39}, {22,32}, {9,42}, {9,34}, {24,33}, {15,43}, {13,46}, {10,32}, {4,39}, {12,35}, {7,36}, {21,26}, {14,48}, {22,28}, {1,37}, {8,25}, {2,42}, {18,42}, {2,32}, {18,34}, {18,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB48.116 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1232561725966909440000 EdgesBipt[48][116]:={ {24,34}, {15,33}, {6,38}, {10,37}, {16,47}, {15,38}, {6,25}, {23,29}, {19,26}, {4,28}, {5,43}, {5,45}, {3,26}, {22,40}, {13,37}, {14,38}, {17,42}, {13,39}, {15,44}, {17,33}, {8,40}, {3,35}, {20,46}, {21,30}, {14,31}, {15,27}, {24,36}, {3,39}, {16,28}, {15,41}, {4,40}, {2,46}, {13,43}, {24,48}, {13,27}, {23,44}, {24,28}, {14,44}, {6,32}, {11,35}, {11,29}, {11,27}, {2,34}, {22,37}, {12,28}, {2,25}, {12,48}, {16,42}, {18,32}, {16,48}, {15,32}, {23,45}, {4,30}, {8,30}, {23,38}, {12,46}, {9,33}, {7,45}, {8,46}, {24,46}, {17,39}, {7,41}, {13,30}, {7,27}, {12,42}, {11,39}, {10,26}, {7,33}, {20,29}, {12,40}, {24,30}, {22,25}, {5,37}, {24,47}, {13,42}, {20,35}, {1,36}, {16,34}, {6,46}, {15,45}, {6,44}, {17,36}, {18,46}, {14,32}, {20,36}, {16,40}, {20,42}, {22,34}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {18,26}, {22,43}, {3,38}, {5,27}, {24,41}, {20,41}, {14,46}, {24,40}, {3,47}, {1,42}, {7,32}, {19,38}, {1,31}, {19,47}, {1,39}, {14,34}, {8,48}, {2,44}, {1,30}, {21,45}, {19,27}, {14,28}, {12,47}, {23,39}, {16,29}, {13,48}, {22,26}, {10,38}, {10,46}, {11,33}, {21,25}, {13,25}, {21,31}, {8,47}, {4,41}, {8,41}, {18,38}, {21,37}, {3,29}, {17,31}, {13,36}, {12,41}, {11,44}, {13,45}, {4,47}, {3,44}, {21,42}, {7,35}, {19,45}, {2,43}, {12,30}, {22,44}, {10,31}, {9,31}, {10,44}, {18,25}, {1,25}, {22,31}, {23,35}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {18,44}, {16,41}, {19,41}, {8,34}, {9,25}, {17,30}, {20,47}, {23,47}, {16,30}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {14,43}, {14,37}, {23,27}, {24,35}, {19,44}, {18,31}, {14,40}, {1,48}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {24,29}, {21,39}, {19,29}, {6,43}, {6,37}, {10,28}, {5,31}, {17,25}, {20,48}, {2,26}, {10,40}, {7,29}, {2,28}, {8,29}, {22,38}, {8,36}, {3,33}, {16,36}, {14,26}, {1,45}, {23,32}, {19,33}, {19,39}, {18,28}, {16,46}, {15,29}, {11,47}, {4,46}, {2,31}, {11,45}, {20,28}, {21,33}, {1,33}, {12,36}, {3,45}, {7,47}, {2,37}, {4,42}, {15,47}, {19,35}, {11,41}, {6,26}, {21,43}, {21,27}, {12,34}, {6,28}, {21,48}, {4,35}, {19,32}, {13,33}, {18,43}, {14,25}, {20,34}, {7,26}, {23,33}, {16,35}, {10,34}, {17,27}, {8,35}, {2,40}, {17,45}, {9,45}, {22,46}, {17,37}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {21,36}, {7,44}, {8,28}, {18,40}, {24,42}, {20,40}, {1,27}, {5,25}, {15,26}, {9,43}, {22,32}, {9,42}, {23,41}, {5,36}, {10,32}, {12,35}, {23,26}, {17,43}, {22,28}, {1,37}, {4,48}, {2,32}, {18,34}, {11,26}, {9,48}, {17,48}, {5,48}, {18,37}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.117 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15407021574586368 EdgesBipt[48][117]:={ {24,34}, {15,33}, {19,28}, {10,37}, {16,47}, {15,38}, {14,36}, {23,29}, {19,26}, {11,25}, {5,45}, {22,40}, {14,38}, {17,42}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {20,46}, {21,30}, {15,27}, {24,32}, {21,41}, {24,36}, {10,39}, {6,48}, {16,37}, {1,35}, {15,41}, {4,37}, {4,40}, {2,46}, {13,43}, {24,48}, {13,27}, {10,48}, {24,28}, {14,44}, {6,32}, {4,38}, {11,29}, {10,47}, {20,38}, {12,28}, {22,37}, {12,48}, {18,32}, {16,48}, {23,45}, {4,30}, {8,30}, {9,33}, {20,43}, {8,46}, {5,41}, {17,39}, {21,38}, {7,41}, {23,31}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {7,33}, {12,31}, {12,40}, {17,26}, {2,48}, {15,30}, {5,37}, {24,47}, {24,31}, {13,42}, {20,35}, {9,35}, {1,36}, {19,42}, {23,42}, {15,45}, {18,39}, {6,44}, {24,26}, {8,38}, {13,26}, {17,47}, {5,34}, {18,47}, {1,26}, {14,32}, {2,36}, {20,36}, {13,41}, {16,40}, {6,34}, {1,43}, {9,29}, {18,26}, {18,36}, {3,38}, {3,43}, {14,46}, {9,46}, {24,40}, {14,35}, {1,42}, {2,30}, {11,42}, {17,29}, {8,48}, {4,32}, {2,44}, {21,45}, {19,27}, {14,28}, {12,47}, {6,36}, {23,39}, {16,29}, {3,30}, {22,48}, {15,37}, {10,38}, {10,46}, {11,33}, {21,25}, {13,25}, {9,38}, {21,37}, {3,29}, {17,31}, {13,36}, {1,41}, {4,45}, {22,29}, {4,47}, {24,39}, {3,25}, {11,34}, {7,35}, {2,43}, {22,30}, {2,27}, {7,34}, {10,31}, {10,29}, {1,25}, {22,31}, {20,30}, {9,30}, {5,39}, {18,44}, {14,27}, {22,45}, {7,28}, {20,44}, {19,41}, {9,25}, {15,46}, {10,30}, {23,47}, {16,30}, {15,35}, {6,31}, {14,43}, {1,44}, {19,44}, {18,31}, {14,40}, {9,41}, {16,31}, {16,45}, {3,41}, {23,34}, {4,29}, {8,32}, {22,39}, {5,31}, {17,25}, {20,48}, {19,34}, {17,41}, {20,32}, {10,40}, {23,37}, {2,28}, {22,38}, {8,36}, {13,44}, {8,27}, {21,46}, {6,47}, {3,33}, {19,33}, {19,43}, {18,28}, {16,46}, {15,29}, {11,47}, {4,46}, {8,43}, {16,38}, {11,45}, {20,28}, {21,33}, {1,33}, {12,36}, {3,45}, {12,44}, {5,26}, {19,25}, {5,29}, {14,30}, {12,39}, {5,47}, {20,27}, {17,34}, {21,35}, {11,31}, {19,35}, {13,34}, {11,41}, {7,25}, {6,26}, {1,34}, {13,35}, {21,43}, {21,27}, {7,42}, {21,29}, {24,44}, {12,34}, {8,44}, {19,36}, {6,28}, {6,42}, {13,33}, {7,26}, {11,37}, {23,33}, {8,35}, {10,45}, {2,40}, {17,45}, {9,45}, {22,46}, {17,37}, {16,39}, {13,28}, {1,28}, {23,25}, {3,27}, {9,27}, {5,42}, {2,38}, {12,32}, {7,44}, {8,28}, {7,43}, {18,40}, {24,42}, {20,40}, {1,27}, {5,25}, {9,43}, {22,47}, {3,37}, {22,32}, {23,41}, {15,43}, {10,32}, {4,39}, {7,36}, {23,26}, {14,48}, {18,42}, {16,32}, {4,48}, {2,32}, {18,34}, {18,48}, {11,26}, {3,46}, {15,25}, {5,33}, {9,37}, {6,40} }; // ETB48.118 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 1083306204463104 EdgesBipt[48][118]:={ {24,34}, {15,33}, {18,45}, {7,48}, {19,28}, {10,37}, {16,47}, {9,32}, {23,29}, {5,38}, {4,28}, {5,43}, {8,26}, {22,40}, {1,40}, {17,42}, {11,43}, {2,35}, {17,33}, {3,35}, {20,46}, {21,30}, {14,31}, {24,36}, {6,48}, {19,37}, {3,39}, {20,37}, {21,28}, {16,28}, {15,41}, {8,31}, {4,37}, {2,46}, {13,43}, {13,27}, {10,48}, {24,28}, {6,32}, {4,38}, {11,35}, {11,29}, {11,27}, {20,38}, {12,28}, {19,31}, {16,42}, {18,32}, {15,32}, {23,45}, {4,30}, {12,46}, {9,33}, {7,45}, {21,38}, {12,38}, {7,41}, {23,31}, {13,30}, {6,39}, {11,39}, {22,42}, {7,33}, {20,29}, {17,26}, {2,48}, {24,47}, {18,35}, {16,25}, {24,31}, {13,42}, {12,37}, {16,34}, {15,45}, {10,35}, {24,26}, {13,26}, {2,29}, {5,34}, {1,38}, {18,46}, {1,26}, {14,32}, {20,36}, {22,34}, {18,29}, {6,34}, {8,42}, {22,43}, {5,27}, {3,43}, {5,28}, {24,41}, {20,41}, {9,46}, {14,35}, {3,47}, {1,42}, {7,32}, {3,31}, {19,47}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {20,25}, {1,30}, {19,27}, {23,39}, {23,40}, {11,36}, {22,48}, {22,26}, {15,37}, {10,38}, {10,46}, {14,39}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {18,38}, {3,29}, {13,36}, {1,41}, {4,45}, {12,41}, {24,39}, {3,44}, {11,44}, {23,48}, {21,42}, {19,45}, {2,43}, {2,27}, {12,30}, {4,33}, {10,29}, {24,25}, {17,46}, {1,25}, {22,31}, {20,30}, {9,30}, {14,27}, {16,41}, {20,44}, {8,34}, {9,25}, {17,30}, {10,30}, {23,47}, {12,45}, {17,38}, {12,29}, {6,31}, {16,26}, {12,25}, {15,40}, {14,43}, {13,38}, {19,44}, {14,40}, {1,48}, {9,41}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {19,29}, {6,43}, {22,39}, {17,25}, {16,44}, {4,44}, {7,40}, {17,41}, {10,40}, {23,37}, {7,29}, {18,30}, {14,47}, {8,36}, {13,44}, {2,45}, {21,46}, {5,46}, {6,47}, {16,36}, {14,26}, {23,32}, {19,39}, {19,43}, {15,29}, {11,47}, {4,46}, {11,45}, {20,28}, {1,33}, {18,27}, {12,36}, {3,45}, {12,44}, {5,26}, {7,47}, {2,37}, {4,25}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {17,34}, {21,35}, {15,47}, {11,31}, {20,33}, {21,44}, {15,48}, {19,35}, {13,34}, {7,25}, {6,26}, {22,27}, {1,34}, {13,35}, {21,43}, {21,27}, {17,40}, {24,44}, {8,44}, {19,36}, {6,42}, {18,43}, {20,45}, {11,37}, {23,33}, {11,28}, {14,42}, {10,27}, {16,33}, {10,45}, {2,40}, {16,39}, {13,28}, {23,25}, {3,27}, {5,42}, {2,38}, {22,35}, {10,43}, {21,36}, {15,31}, {8,28}, {18,40}, {9,40}, {24,42}, {5,44}, {22,47}, {1,46}, {3,37}, {22,32}, {8,39}, {23,41}, {9,42}, {5,36}, {9,34}, {24,33}, {10,32}, {13,46}, {6,35}, {17,32}, {21,26}, {14,48}, {8,25}, {2,32}, {18,48}, {9,48}, {17,48}, {15,25}, {18,37}, {5,30}, {6,40} }; // ETB48.119 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1320903770112 EdgesBipt[48][119]:={ {24,34}, {15,33}, {18,45}, {10,37}, {15,38}, {14,36}, {6,25}, {23,29}, {19,26}, {4,28}, {5,45}, {3,26}, {8,26}, {13,37}, {1,40}, {13,39}, {15,44}, {11,43}, {4,31}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {24,36}, {10,39}, {6,48}, {3,39}, {1,35}, {15,41}, {4,40}, {24,48}, {13,27}, {14,29}, {10,48}, {23,44}, {14,44}, {2,33}, {17,35}, {6,32}, {4,38}, {11,35}, {6,29}, {11,27}, {20,38}, {20,26}, {12,28}, {19,31}, {22,37}, {2,25}, {12,48}, {4,43}, {16,42}, {18,32}, {16,48}, {15,32}, {23,45}, {8,30}, {23,38}, {12,46}, {20,43}, {7,45}, {8,46}, {24,46}, {12,38}, {7,41}, {12,26}, {13,30}, {11,39}, {22,42}, {7,33}, {12,31}, {12,40}, {23,28}, {13,47}, {24,30}, {2,48}, {20,39}, {22,25}, {5,37}, {24,45}, {13,42}, {9,35}, {1,29}, {19,42}, {16,34}, {15,45}, {18,39}, {6,44}, {24,26}, {8,38}, {17,47}, {9,47}, {5,34}, {14,32}, {2,36}, {20,36}, {1,43}, {9,29}, {8,42}, {18,36}, {18,33}, {22,43}, {3,38}, {5,27}, {3,43}, {15,28}, {24,41}, {2,39}, {9,46}, {3,47}, {7,32}, {19,38}, {1,31}, {3,31}, {19,47}, {12,27}, {11,42}, {5,35}, {17,29}, {8,48}, {2,44}, {21,45}, {19,27}, {6,36}, {23,40}, {16,29}, {3,30}, {1,47}, {22,48}, {21,47}, {10,36}, {21,25}, {13,25}, {19,30}, {8,41}, {21,37}, {8,45}, {17,31}, {1,41}, {22,29}, {20,31}, {13,45}, {3,44}, {11,44}, {17,28}, {21,42}, {7,35}, {22,30}, {2,27}, {6,30}, {22,44}, {9,31}, {10,44}, {18,25}, {17,46}, {1,25}, {22,31}, {23,35}, {5,39}, {24,38}, {3,32}, {18,44}, {16,41}, {7,28}, {8,34}, {9,25}, {23,47}, {16,30}, {4,34}, {10,25}, {15,35}, {6,31}, {11,32}, {16,26}, {15,40}, {3,42}, {14,43}, {14,37}, {19,44}, {9,41}, {16,45}, {4,36}, {22,41}, {24,29}, {21,39}, {6,43}, {6,37}, {10,28}, {17,25}, {20,48}, {7,40}, {17,41}, {12,43}, {10,40}, {7,29}, {2,28}, {8,29}, {8,36}, {2,45}, {21,46}, {5,46}, {16,36}, {23,32}, {11,30}, {19,39}, {9,28}, {4,27}, {19,43}, {18,28}, {16,46}, {15,29}, {11,47}, {4,46}, {16,38}, {20,28}, {21,33}, {18,27}, {12,36}, {7,47}, {2,37}, {14,30}, {21,34}, {8,33}, {12,39}, {5,47}, {20,27}, {21,35}, {17,34}, {15,47}, {11,31}, {19,35}, {13,34}, {1,34}, {13,35}, {21,27}, {6,41}, {17,40}, {12,34}, {6,42}, {19,32}, {13,33}, {14,25}, {20,34}, {7,26}, {23,33}, {14,42}, {10,27}, {16,33}, {10,45}, {2,40}, {14,41}, {4,26}, {17,37}, {1,28}, {3,27}, {7,38}, {5,42}, {7,44}, {18,40}, {9,40}, {24,42}, {20,40}, {5,25}, {15,26}, {22,36}, {9,43}, {1,46}, {22,32}, {23,41}, {9,34}, {24,33}, {10,32}, {13,46}, {4,39}, {23,26}, {17,43}, {14,48}, {1,37}, {4,48}, {2,32}, {18,48}, {11,26}, {18,37}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB48.120 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 322486272 EdgesBipt[48][120]:={ {24,34}, {15,33}, {18,45}, {7,48}, {19,28}, {6,38}, {10,37}, {15,38}, {9,32}, {6,25}, {23,29}, {19,26}, {5,45}, {3,26}, {8,26}, {22,40}, {1,40}, {14,38}, {17,33}, {4,31}, {24,32}, {14,45}, {3,39}, {19,37}, {20,37}, {21,28}, {5,32}, {1,35}, {7,30}, {15,41}, {4,37}, {4,40}, {13,27}, {10,48}, {17,35}, {11,29}, {11,27}, {22,37}, {2,25}, {16,42}, {15,32}, {4,30}, {23,38}, {9,33}, {8,46}, {24,46}, {17,39}, {7,41}, {12,42}, {11,39}, {22,42}, {7,33}, {12,31}, {12,40}, {13,47}, {2,48}, {15,30}, {20,39}, {22,25}, {24,45}, {23,43}, {9,35}, {1,36}, {19,42}, {12,37}, {16,34}, {16,43}, {24,26}, {17,47}, {9,47}, {17,36}, {2,29}, {1,38}, {20,36}, {20,42}, {22,34}, {18,29}, {9,36}, {6,34}, {9,39}, {8,42}, {22,43}, {3,38}, {5,27}, {19,46}, {5,28}, {24,41}, {20,41}, {14,35}, {3,47}, {7,32}, {19,38}, {1,31}, {19,47}, {12,27}, {1,39}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {2,44}, {21,45}, {19,27}, {14,28}, {23,39}, {11,36}, {3,30}, {13,48}, {1,47}, {21,47}, {22,26}, {21,31}, {19,30}, {4,41}, {9,38}, {8,41}, {7,46}, {8,45}, {3,29}, {17,31}, {13,36}, {12,41}, {20,31}, {13,45}, {23,48}, {11,46}, {2,43}, {12,30}, {4,33}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {1,25}, {20,30}, {13,31}, {18,44}, {22,45}, {16,41}, {6,45}, {20,44}, {13,29}, {8,34}, {9,25}, {15,46}, {10,30}, {4,34}, {10,25}, {17,38}, {21,32}, {16,26}, {14,43}, {3,42}, {14,37}, {24,35}, {18,31}, {14,40}, {1,48}, {24,43}, {16,45}, {7,39}, {4,36}, {15,39}, {1,32}, {19,29}, {6,43}, {6,37}, {8,32}, {24,27}, {10,28}, {5,31}, {17,25}, {16,44}, {4,44}, {2,41}, {18,41}, {10,40}, {7,29}, {18,30}, {14,47}, {2,28}, {22,38}, {13,44}, {8,27}, {21,46}, {2,45}, {5,46}, {6,47}, {13,32}, {14,26}, {23,32}, {11,30}, {19,39}, {4,27}, {18,28}, {16,46}, {15,29}, {11,47}, {8,43}, {2,31}, {1,33}, {12,36}, {16,27}, {12,44}, {2,37}, {4,42}, {5,29}, {10,41}, {3,28}, {12,33}, {8,33}, {12,39}, {5,47}, {20,27}, {21,35}, {17,34}, {21,44}, {20,33}, {15,48}, {7,25}, {6,26}, {1,34}, {13,35}, {21,27}, {21,29}, {17,40}, {24,44}, {12,34}, {8,44}, {19,36}, {23,30}, {6,28}, {6,42}, {21,48}, {18,43}, {23,46}, {14,25}, {20,34}, {7,26}, {11,37}, {23,33}, {11,28}, {16,35}, {14,42}, {16,33}, {8,35}, {10,45}, {2,40}, {13,28}, {23,25}, {3,27}, {7,38}, {22,35}, {10,43}, {21,36}, {7,43}, {18,40}, {9,40}, {24,42}, {20,40}, {5,44}, {15,26}, {22,47}, {3,37}, {23,41}, {5,36}, {9,34}, {24,33}, {15,43}, {13,46}, {4,39}, {6,35}, {17,32}, {23,26}, {22,28}, {16,32}, {18,48}, {11,26}, {3,46}, {9,48}, {17,48}, {5,48}, {15,25}, {18,37}, {11,38}, {6,40} }; // ETB48.121 // Bipartite(24,24) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 4831838208 EdgesBipt[48][121]:={ {24,34}, {15,33}, {18,45}, {7,48}, {19,28}, {11,40}, {10,37}, {9,32}, {5,38}, {23,29}, {19,26}, {8,26}, {22,40}, {13,37}, {1,40}, {17,42}, {15,44}, {4,31}, {3,35}, {21,30}, {24,36}, {14,45}, {6,48}, {16,37}, {20,37}, {5,32}, {1,35}, {4,37}, {13,43}, {24,48}, {14,29}, {10,48}, {23,44}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,29}, {10,47}, {20,38}, {19,40}, {20,26}, {22,37}, {2,25}, {12,48}, {4,43}, {18,32}, {16,48}, {15,32}, {23,45}, {8,30}, {23,38}, {12,46}, {8,37}, {24,46}, {17,39}, {7,41}, {12,42}, {6,39}, {12,31}, {19,48}, {20,29}, {23,28}, {17,26}, {13,47}, {24,30}, {15,30}, {22,25}, {20,39}, {5,37}, {18,35}, {16,25}, {24,31}, {24,45}, {9,35}, {23,42}, {16,34}, {16,43}, {10,35}, {15,45}, {18,39}, {6,44}, {8,38}, {13,26}, {9,47}, {2,29}, {18,47}, {1,38}, {1,26}, {14,32}, {20,42}, {1,43}, {9,39}, {8,42}, {18,36}, {18,33}, {22,43}, {5,27}, {19,46}, {5,28}, {20,41}, {2,39}, {9,46}, {3,47}, {19,38}, {1,31}, {19,47}, {12,27}, {6,27}, {11,42}, {3,36}, {20,25}, {2,44}, {14,28}, {6,36}, {23,40}, {16,29}, {3,30}, {1,47}, {22,48}, {21,47}, {10,36}, {14,33}, {15,34}, {11,33}, {13,25}, {14,39}, {21,31}, {4,41}, {8,41}, {7,46}, {8,45}, {22,29}, {11,44}, {3,44}, {24,39}, {21,42}, {17,28}, {7,35}, {2,27}, {12,30}, {7,34}, {10,31}, {9,31}, {10,29}, {1,25}, {22,31}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {17,44}, {19,41}, {15,46}, {17,30}, {5,40}, {12,45}, {4,34}, {10,25}, {15,35}, {17,38}, {6,31}, {11,32}, {21,32}, {16,26}, {3,42}, {14,37}, {13,38}, {18,31}, {14,40}, {24,43}, {16,31}, {4,36}, {22,41}, {4,29}, {9,44}, {21,39}, {19,29}, {6,43}, {24,27}, {10,28}, {17,25}, {19,34}, {7,40}, {2,41}, {12,43}, {10,40}, {7,29}, {2,28}, {8,29}, {8,27}, {21,46}, {2,45}, {6,47}, {3,48}, {3,33}, {16,36}, {23,32}, {11,30}, {3,34}, {16,46}, {4,46}, {16,38}, {11,45}, {18,27}, {12,36}, {3,45}, {5,26}, {7,47}, {2,37}, {10,41}, {4,25}, {21,34}, {12,33}, {8,33}, {12,39}, {20,27}, {21,35}, {15,47}, {21,44}, {20,33}, {15,48}, {19,35}, {13,34}, {11,41}, {15,42}, {1,34}, {13,35}, {21,43}, {21,27}, {17,40}, {12,34}, {19,36}, {23,30}, {18,43}, {14,25}, {7,26}, {20,45}, {23,33}, {11,28}, {17,27}, {2,40}, {14,41}, {4,26}, {17,37}, {13,28}, {1,28}, {9,27}, {7,38}, {5,42}, {15,36}, {22,35}, {10,43}, {24,42}, {5,44}, {5,25}, {22,36}, {9,43}, {22,47}, {1,46}, {8,39}, {9,42}, {23,41}, {9,34}, {24,33}, {13,46}, {7,36}, {6,35}, {17,32}, {23,26}, {22,28}, {1,37}, {8,25}, {4,48}, {6,33}, {2,32}, {18,48}, {11,26}, {3,46}, {5,30}, {11,38} }; // ETB48.122 // Bipartite(24,24) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 19327352832 EdgesBipt[48][122]:={ {24,34}, {18,45}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {19,26}, {5,45}, {22,40}, {1,40}, {14,38}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {4,31}, {3,35}, {20,46}, {21,30}, {21,41}, {24,36}, {10,39}, {14,45}, {6,48}, {19,37}, {7,30}, {8,31}, {13,43}, {24,48}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {6,32}, {11,35}, {10,47}, {22,37}, {2,25}, {12,48}, {4,43}, {16,42}, {18,32}, {15,32}, {4,30}, {23,38}, {12,46}, {20,43}, {8,46}, {24,46}, {17,39}, {21,38}, {23,31}, {12,42}, {6,39}, {23,36}, {19,48}, {20,29}, {23,28}, {24,30}, {20,39}, {22,25}, {5,37}, {24,47}, {24,45}, {23,43}, {1,29}, {19,42}, {23,42}, {16,43}, {10,35}, {18,39}, {6,44}, {13,26}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {13,41}, {20,36}, {1,43}, {9,29}, {9,39}, {18,26}, {18,36}, {18,33}, {5,27}, {19,46}, {3,43}, {15,28}, {5,28}, {24,41}, {20,41}, {14,35}, {3,47}, {7,32}, {19,38}, {1,31}, {3,31}, {7,37}, {6,27}, {11,42}, {8,48}, {4,32}, {2,44}, {12,47}, {6,36}, {23,40}, {11,36}, {22,48}, {10,36}, {14,33}, {15,37}, {15,34}, {21,25}, {21,31}, {19,30}, {11,48}, {8,41}, {9,38}, {9,26}, {18,38}, {21,37}, {7,46}, {1,41}, {4,45}, {22,29}, {12,41}, {20,31}, {13,45}, {4,47}, {3,44}, {3,25}, {23,48}, {17,28}, {21,42}, {12,30}, {4,33}, {7,34}, {9,31}, {10,29}, {17,46}, {23,35}, {13,31}, {9,30}, {5,39}, {3,32}, {18,44}, {6,45}, {20,44}, {13,29}, {8,34}, {9,25}, {15,46}, {17,30}, {5,40}, {23,47}, {16,30}, {12,45}, {10,25}, {15,35}, {12,29}, {15,40}, {14,37}, {13,38}, {24,35}, {19,44}, {9,41}, {16,31}, {16,45}, {22,41}, {24,29}, {21,39}, {8,32}, {22,39}, {10,28}, {17,25}, {20,48}, {19,34}, {16,44}, {4,44}, {2,41}, {20,32}, {2,26}, {10,40}, {14,47}, {8,29}, {8,36}, {8,27}, {2,45}, {5,46}, {14,26}, {1,45}, {11,30}, {3,34}, {4,27}, {18,28}, {11,47}, {8,43}, {18,27}, {1,33}, {12,36}, {16,27}, {19,25}, {2,37}, {4,42}, {10,41}, {3,28}, {12,33}, {20,27}, {17,34}, {15,47}, {11,31}, {13,34}, {7,25}, {6,26}, {1,34}, {22,27}, {21,43}, {21,27}, {7,42}, {21,29}, {17,40}, {12,34}, {8,44}, {19,36}, {23,30}, {6,28}, {4,35}, {19,32}, {13,33}, {14,25}, {20,34}, {7,26}, {11,28}, {2,47}, {16,35}, {10,27}, {16,33}, {3,40}, {17,27}, {17,45}, {14,41}, {17,37}, {16,39}, {13,28}, {1,28}, {9,27}, {7,38}, {5,42}, {2,38}, {22,35}, {15,31}, {7,44}, {18,40}, {24,42}, {5,25}, {22,36}, {9,43}, {22,47}, {1,46}, {3,37}, {8,39}, {9,42}, {24,33}, {15,43}, {13,46}, {4,39}, {12,35}, {7,36}, {23,26}, {21,26}, {22,28}, {16,32}, {6,33}, {2,32}, {18,48}, {11,26}, {3,46}, {15,25}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.123 // Bipartite(24,24) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 589824 EdgesBipt[48][123]:={ {24,34}, {18,45}, {7,48}, {11,40}, {15,38}, {9,32}, {6,25}, {19,26}, {5,43}, {5,45}, {22,40}, {13,37}, {14,38}, {17,42}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {20,46}, {10,33}, {24,32}, {10,39}, {14,45}, {6,48}, {19,37}, {3,39}, {20,37}, {1,35}, {7,30}, {8,31}, {4,40}, {2,46}, {13,43}, {14,29}, {10,48}, {23,44}, {24,28}, {14,44}, {2,33}, {17,35}, {4,38}, {2,34}, {12,28}, {2,25}, {4,43}, {16,42}, {4,30}, {23,38}, {9,33}, {7,45}, {8,46}, {8,37}, {17,39}, {12,38}, {7,41}, {23,31}, {12,26}, {23,36}, {19,48}, {20,29}, {17,26}, {13,47}, {24,30}, {5,37}, {18,35}, {16,25}, {23,43}, {1,36}, {19,42}, {12,37}, {16,34}, {6,46}, {16,43}, {15,45}, {24,26}, {9,47}, {17,36}, {2,29}, {5,34}, {18,47}, {18,46}, {16,40}, {20,42}, {22,34}, {24,37}, {1,43}, {9,39}, {8,42}, {18,36}, {3,38}, {5,27}, {19,46}, {3,43}, {5,28}, {24,41}, {20,41}, {14,46}, {2,39}, {14,35}, {7,32}, {1,31}, {3,31}, {19,47}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {20,25}, {2,44}, {6,36}, {23,40}, {11,36}, {1,47}, {22,48}, {21,47}, {10,36}, {14,33}, {15,37}, {10,38}, {21,25}, {13,25}, {14,39}, {21,31}, {19,30}, {11,48}, {8,41}, {9,26}, {7,46}, {3,29}, {13,36}, {22,29}, {12,41}, {20,31}, {13,45}, {3,44}, {11,44}, {23,48}, {21,42}, {17,28}, {19,45}, {12,30}, {6,30}, {22,44}, {9,31}, {10,44}, {10,29}, {18,25}, {1,25}, {13,31}, {5,39}, {24,38}, {6,45}, {19,41}, {9,25}, {15,46}, {23,47}, {16,30}, {4,34}, {12,29}, {11,32}, {21,32}, {16,26}, {15,40}, {3,42}, {1,44}, {24,35}, {24,43}, {16,31}, {7,39}, {22,41}, {15,39}, {1,32}, {9,44}, {24,29}, {21,39}, {19,29}, {8,32}, {22,39}, {10,28}, {12,43}, {20,32}, {18,41}, {10,40}, {7,29}, {18,30}, {14,47}, {8,29}, {22,38}, {13,44}, {8,27}, {2,45}, {6,47}, {13,32}, {1,45}, {23,32}, {11,30}, {19,39}, {4,27}, {18,28}, {16,46}, {15,29}, {11,47}, {4,46}, {16,38}, {20,28}, {21,33}, {1,33}, {18,27}, {16,27}, {3,45}, {5,26}, {7,47}, {4,42}, {10,41}, {4,25}, {14,30}, {21,34}, {12,33}, {8,33}, {20,27}, {17,34}, {22,33}, {11,31}, {20,33}, {21,44}, {11,41}, {22,27}, {15,42}, {13,35}, {21,27}, {7,42}, {6,41}, {12,34}, {23,30}, {6,28}, {21,48}, {4,35}, {19,32}, {13,33}, {14,25}, {7,26}, {2,47}, {16,35}, {10,27}, {10,34}, {3,40}, {17,27}, {17,45}, {4,26}, {17,37}, {13,28}, {1,28}, {9,27}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {18,40}, {20,40}, {22,36}, {3,37}, {9,42}, {23,41}, {5,36}, {9,34}, {24,33}, {15,43}, {12,35}, {6,35}, {23,26}, {17,43}, {21,26}, {22,28}, {1,37}, {8,25}, {18,48}, {11,26}, {3,46}, {9,48}, {17,48}, {5,48}, {11,38}, {6,40} }; // ETB48.124 // Bipartite(24,24) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9437184 EdgesBipt[48][124]:={ {11,40}, {16,47}, {15,38}, {6,25}, {5,38}, {4,28}, {5,43}, {5,45}, {22,40}, {13,39}, {15,44}, {2,35}, {8,40}, {20,46}, {21,30}, {14,31}, {24,32}, {24,36}, {10,39}, {14,45}, {16,37}, {19,37}, {16,28}, {5,32}, {4,37}, {4,40}, {2,46}, {24,48}, {14,29}, {23,44}, {24,28}, {2,33}, {6,29}, {11,27}, {10,47}, {20,38}, {12,28}, {2,25}, {12,48}, {4,43}, {16,48}, {15,32}, {4,30}, {12,46}, {7,45}, {8,46}, {24,46}, {5,41}, {21,38}, {7,41}, {23,31}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {23,28}, {20,29}, {17,26}, {2,48}, {24,47}, {18,35}, {24,45}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {23,42}, {16,34}, {16,43}, {10,35}, {18,39}, {6,44}, {24,26}, {8,38}, {9,47}, {17,36}, {2,29}, {5,34}, {1,38}, {20,36}, {16,40}, {20,42}, {18,29}, {9,29}, {8,42}, {18,36}, {18,33}, {22,43}, {3,38}, {5,27}, {19,46}, {3,43}, {15,28}, {5,28}, {24,41}, {20,41}, {14,46}, {2,39}, {14,35}, {1,42}, {7,32}, {1,31}, {3,31}, {1,39}, {7,37}, {6,27}, {11,42}, {8,48}, {1,30}, {21,45}, {19,27}, {12,47}, {6,36}, {23,39}, {23,40}, {16,29}, {13,48}, {21,47}, {22,26}, {10,36}, {14,33}, {15,37}, {10,38}, {15,34}, {10,46}, {11,33}, {13,25}, {14,39}, {21,31}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {21,37}, {7,46}, {13,36}, {12,41}, {11,44}, {13,45}, {4,47}, {3,44}, {24,39}, {3,25}, {21,42}, {17,28}, {7,35}, {19,45}, {2,43}, {6,30}, {4,33}, {7,34}, {10,31}, {9,31}, {18,25}, {1,25}, {22,31}, {13,31}, {9,30}, {3,32}, {18,44}, {16,41}, {20,44}, {19,41}, {13,29}, {8,34}, {15,46}, {17,30}, {20,47}, {23,47}, {16,30}, {12,45}, {4,34}, {17,38}, {11,32}, {16,26}, {15,40}, {14,43}, {14,37}, {1,44}, {13,38}, {23,27}, {19,44}, {1,48}, {4,29}, {6,43}, {22,39}, {17,25}, {20,48}, {19,34}, {17,41}, {2,26}, {18,41}, {10,40}, {23,37}, {18,30}, {8,29}, {22,38}, {8,36}, {13,44}, {2,45}, {3,48}, {14,26}, {1,45}, {23,32}, {11,30}, {19,33}, {3,34}, {11,47}, {2,31}, {18,27}, {12,36}, {19,25}, {5,26}, {2,37}, {3,28}, {21,34}, {12,33}, {12,39}, {17,34}, {21,35}, {11,31}, {15,48}, {19,35}, {7,25}, {22,27}, {21,27}, {7,42}, {6,41}, {21,29}, {8,44}, {23,30}, {19,32}, {18,43}, {14,25}, {20,34}, {11,37}, {23,33}, {11,28}, {10,27}, {16,33}, {3,40}, {17,27}, {8,35}, {17,45}, {9,45}, {4,26}, {22,46}, {13,28}, {1,28}, {9,27}, {12,32}, {22,35}, {10,43}, {15,31}, {7,44}, {18,40}, {24,42}, {20,40}, {5,25}, {22,36}, {22,47}, {3,37}, {22,32}, {9,42}, {5,36}, {9,34}, {24,33}, {15,43}, {10,32}, {6,35}, {17,32}, {17,43}, {21,26}, {14,48}, {4,48}, {6,33}, {3,46}, {15,25}, {5,30}, {9,37}, {6,40} }; // ETB48.125 // Bipartite(24,24) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 19327352832 EdgesBipt[48][125]:={ {24,34}, {15,33}, {7,48}, {19,28}, {10,37}, {16,47}, {15,38}, {14,36}, {9,32}, {6,25}, {23,29}, {19,26}, {5,45}, {3,26}, {8,26}, {22,40}, {14,38}, {13,39}, {11,43}, {2,35}, {17,33}, {8,40}, {3,35}, {10,33}, {24,32}, {6,48}, {16,37}, {20,37}, {1,35}, {7,30}, {8,31}, {4,37}, {2,46}, {13,43}, {13,27}, {23,44}, {14,44}, {11,35}, {11,29}, {6,29}, {20,38}, {19,40}, {2,34}, {20,26}, {22,37}, {2,25}, {16,42}, {16,48}, {23,45}, {4,30}, {8,30}, {12,46}, {9,33}, {20,43}, {8,37}, {24,46}, {5,41}, {17,39}, {21,38}, {7,41}, {23,31}, {12,42}, {19,48}, {13,47}, {24,30}, {2,48}, {15,30}, {22,25}, {20,39}, {18,35}, {16,25}, {23,43}, {1,29}, {19,42}, {23,42}, {12,37}, {15,45}, {8,38}, {13,26}, {17,36}, {5,34}, {18,47}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,42}, {22,34}, {24,37}, {18,29}, {9,36}, {1,43}, {9,39}, {8,42}, {18,36}, {22,43}, {3,38}, {5,27}, {15,28}, {5,28}, {24,41}, {14,46}, {14,35}, {3,47}, {7,32}, {19,38}, {1,31}, {12,27}, {1,39}, {11,42}, {14,34}, {17,29}, {20,25}, {2,44}, {21,45}, {6,36}, {3,30}, {1,47}, {15,34}, {10,46}, {11,33}, {21,31}, {19,30}, {9,38}, {9,26}, {1,41}, {4,45}, {12,41}, {20,31}, {4,47}, {11,44}, {24,39}, {17,28}, {12,30}, {4,33}, {22,44}, {10,31}, {9,31}, {10,44}, {18,25}, {24,25}, {17,46}, {22,31}, {23,35}, {20,30}, {13,31}, {5,39}, {22,45}, {7,28}, {19,41}, {13,29}, {15,46}, {5,40}, {23,47}, {16,30}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {21,32}, {12,25}, {15,40}, {3,42}, {14,37}, {13,38}, {19,44}, {18,31}, {16,45}, {4,36}, {9,44}, {24,29}, {21,39}, {19,29}, {6,43}, {6,37}, {24,27}, {10,28}, {7,40}, {17,41}, {2,26}, {18,41}, {10,40}, {7,29}, {14,47}, {8,27}, {5,46}, {6,47}, {3,33}, {16,36}, {14,26}, {23,32}, {11,30}, {3,34}, {4,27}, {18,28}, {11,47}, {8,43}, {11,45}, {20,28}, {21,33}, {16,27}, {3,45}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {12,39}, {20,27}, {17,34}, {15,47}, {22,33}, {11,31}, {21,44}, {13,34}, {11,41}, {15,42}, {1,34}, {13,35}, {21,43}, {21,27}, {7,42}, {6,41}, {17,40}, {24,44}, {12,34}, {19,36}, {23,30}, {6,28}, {21,48}, {4,35}, {19,32}, {18,43}, {14,25}, {7,26}, {23,33}, {2,47}, {16,35}, {10,34}, {16,33}, {3,40}, {17,27}, {10,45}, {17,45}, {9,45}, {22,46}, {16,39}, {9,27}, {7,38}, {2,38}, {12,32}, {10,43}, {21,36}, {7,44}, {8,28}, {18,40}, {24,42}, {20,40}, {1,27}, {15,26}, {9,43}, {1,46}, {8,39}, {22,32}, {23,41}, {5,36}, {10,32}, {13,46}, {4,39}, {7,36}, {6,35}, {21,26}, {14,48}, {22,28}, {8,25}, {4,48}, {2,32}, {18,48}, {3,46}, {9,48}, {17,48}, {5,48}, {18,37}, {5,33}, {6,40} }; // ETB48.126 // Bipartite(6,42) Valencies [14,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 196681931556913152000000 EdgesBipt[48][126]:={ {3,22}, {5,12}, {1,26}, {2,14}, {5,36}, {5,42}, {3,40}, {6,37}, {2,44}, {4,23}, {1,14}, {1,44}, {2,26}, {4,41}, {3,46}, {4,47}, {5,48}, {5,24}, {2,32}, {5,29}, {1,32}, {4,34}, {1,37}, {1,43}, {2,39}, {4,11}, {4,10}, {3,21}, {6,31}, {3,27}, {4,40}, {6,12}, {3,33}, {5,11}, {6,30}, {1,20}, {2,45}, {1,31}, {4,16}, {6,43}, {3,9}, {6,36}, {6,7}, {2,33}, {2,21}, {5,23}, {1,38}, {1,7}, {5,47}, {3,16}, {3,28}, {2,20}, {3,15}, {2,38}, {5,17}, {6,48}, {2,15}, {6,42}, {4,17}, {5,30}, {4,28}, {2,27}, {4,22}, {6,18}, {3,45}, {3,39}, {6,19}, {3,34}, {5,18}, {6,25}, {1,8}, {1,13}, {5,35}, {5,41}, {1,19}, {2,9}, {2,8}, {4,35}, {4,46}, {1,25}, {6,13}, {6,24}, {3,10}, {4,29} }; // ETB48.127 // Bipartite(16,32) Valencies [14,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 44040192 EdgesBipt[48][127]:={ {11,17}, {10,25}, {1,20}, {5,17}, {2,24}, {13,32}, {2,33}, {4,27}, {11,35}, {13,40}, {14,19}, {15,24}, {16,26}, {4,26}, {15,46}, {10,37}, {16,27}, {8,30}, {7,48}, {12,22}, {16,47}, {7,38}, {8,28}, {16,31}, {4,29}, {3,45}, {12,38}, {7,44}, {14,38}, {7,22}, {12,39}, {2,19}, {12,41}, {2,27}, {3,35}, {5,20}, {3,37}, {13,35}, {7,34}, {12,35}, {7,36}, {15,43}, {8,25}, {12,34}, {5,32}, {16,23}, {9,35}, {14,28}, {8,44}, {4,23}, {8,31}, {6,22}, {15,25}, {3,18}, {11,28}, {16,43}, {6,29}, {2,45}, {16,30}, {4,38}, {6,47}, {3,34}, {5,40}, {11,38}, {10,48}, {11,33}, {6,31}, {6,40}, {1,17}, {9,48}, {4,22}, {7,20}, {9,32}, {15,40}, {1,44}, {8,41}, {8,47}, {9,19}, {2,37}, {7,46}, {14,40}, {7,39}, {4,42}, {9,41}, {7,32}, {1,31}, {10,41}, {11,22}, {4,45}, {11,31}, {14,24}, {2,35}, {11,44}, {15,27}, {3,44}, {4,33}, {10,29}, {10,21}, {6,18}, {13,18}, {16,37}, {12,43}, {1,29}, {7,30}, {3,39}, {9,25}, {15,41}, {14,48}, {1,23}, {13,43}, {6,24}, {11,30}, {5,24}, {9,37}, {12,47}, {4,48}, {12,25}, {1,45}, {5,48}, {15,20}, {1,28}, {14,41}, {4,43}, {1,33}, {15,17}, {10,45}, {3,29}, {3,26}, {8,37}, {5,28}, {15,36}, {5,42}, {13,30}, {10,43}, {2,17}, {12,27}, {8,21}, {3,19}, {12,23}, {14,22}, {13,24}, {5,44}, {6,26}, {8,40}, {12,19}, {3,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {11,46}, {9,30}, {13,27}, {13,46}, {13,42}, {14,25}, {16,21}, {7,28}, {11,26}, {6,42}, {13,26}, {14,45}, {7,23}, {13,19}, {16,36}, {6,36}, {2,21}, {8,34}, {5,33}, {2,29}, {10,27}, {6,45}, {14,44}, {10,36}, {10,34}, {15,22}, {9,17}, {10,18}, {13,48}, {14,32}, {15,33}, {16,20}, {8,24}, {2,47}, {1,47}, {6,38}, {2,40}, {2,31}, {9,33}, {16,42}, {6,34}, {11,47}, {15,38}, {5,26}, {8,18}, {16,46}, {3,42}, {16,39}, {9,39}, {11,19}, {3,28}, {8,46}, {14,35}, {1,41}, {9,46}, {10,20}, {12,31}, {13,34}, {6,20}, {5,21}, {15,30}, {5,37}, {2,43}, {4,17}, {11,42}, {9,21}, {4,39}, {9,23}, {4,32}, {12,18}, {1,36}, {14,29}, {7,18} }; // ETB48.128 // Bipartite(20,28) Valencies [14,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1070377858813132800000000 EdgesBipt[48][128]:={ {13,21}, {18,45}, {7,48}, {19,28}, {6,38}, {11,40}, {10,37}, {16,47}, {9,32}, {6,25}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {16,22}, {14,38}, {15,44}, {11,43}, {17,33}, {4,31}, {3,35}, {20,46}, {10,33}, {15,27}, {3,23}, {8,23}, {1,21}, {14,45}, {3,39}, {5,32}, {8,31}, {2,46}, {14,29}, {13,40}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {2,25}, {4,43}, {16,42}, {15,32}, {4,30}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {5,41}, {12,38}, {12,26}, {7,27}, {12,42}, {11,39}, {10,26}, {12,31}, {19,48}, {1,24}, {13,24}, {12,23}, {20,39}, {5,37}, {20,35}, {1,36}, {1,29}, {16,34}, {6,46}, {16,43}, {4,23}, {8,38}, {17,36}, {2,29}, {18,46}, {13,41}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {8,42}, {18,26}, {4,22}, {18,33}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {7,32}, {3,31}, {12,27}, {19,47}, {2,30}, {14,34}, {3,36}, {19,23}, {17,29}, {19,27}, {12,47}, {11,36}, {13,48}, {11,23}, {3,24}, {14,33}, {10,38}, {10,46}, {18,22}, {13,25}, {11,48}, {8,47}, {14,21}, {18,38}, {13,36}, {1,41}, {20,22}, {15,23}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {19,24}, {17,28}, {7,35}, {12,30}, {6,30}, {11,24}, {10,29}, {18,25}, {1,25}, {20,30}, {3,32}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {20,47}, {16,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {11,32}, {15,24}, {16,26}, {15,40}, {14,37}, {1,44}, {19,44}, {1,48}, {9,41}, {16,31}, {7,39}, {15,39}, {1,32}, {9,44}, {6,37}, {7,24}, {9,24}, {17,25}, {7,40}, {2,41}, {17,41}, {12,43}, {2,26}, {18,41}, {18,21}, {10,21}, {9,21}, {18,30}, {13,44}, {8,27}, {2,45}, {3,48}, {13,32}, {14,26}, {1,45}, {19,39}, {9,28}, {2,21}, {4,27}, {19,43}, {16,46}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {16,38}, {1,33}, {16,27}, {7,47}, {2,37}, {4,42}, {5,29}, {10,41}, {14,30}, {3,28}, {7,31}, {12,39}, {20,27}, {15,47}, {11,31}, {15,48}, {19,35}, {6,26}, {5,21}, {6,41}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {16,23}, {6,42}, {4,35}, {19,32}, {13,33}, {14,25}, {20,34}, {11,28}, {16,35}, {14,42}, {10,34}, {3,40}, {8,35}, {10,45}, {6,21}, {17,45}, {9,45}, {14,41}, {4,26}, {17,37}, {16,39}, {13,28}, {1,28}, {3,27}, {2,38}, {15,36}, {15,31}, {7,44}, {7,43}, {9,40}, {5,44}, {5,25}, {8,39}, {14,22}, {5,36}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {1,37}, {2,42}, {18,42}, {6,33}, {18,34}, {9,48}, {17,48}, {5,48}, {18,37}, {5,33}, {9,37} }; // ETB48.129 // Bipartite(24,24) Valencies [14,14] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 483840 EdgesBipt[48][129]:={ {24,34}, {19,28}, {10,37}, {16,47}, {14,36}, {6,25}, {5,38}, {23,29}, {4,28}, {8,26}, {13,37}, {1,40}, {14,38}, {17,42}, {15,44}, {2,35}, {17,33}, {4,31}, {20,46}, {21,30}, {24,36}, {14,45}, {6,48}, {19,37}, {20,37}, {21,28}, {5,32}, {1,35}, {15,41}, {4,37}, {4,40}, {13,43}, {24,48}, {14,29}, {23,44}, {24,28}, {13,40}, {14,44}, {4,38}, {11,35}, {11,29}, {10,47}, {19,40}, {20,38}, {20,26}, {12,28}, {19,31}, {12,48}, {21,40}, {16,42}, {18,32}, {16,48}, {15,32}, {23,45}, {23,38}, {12,46}, {9,33}, {20,43}, {24,46}, {5,41}, {17,39}, {6,39}, {23,36}, {11,39}, {10,26}, {22,42}, {12,31}, {20,29}, {13,47}, {24,30}, {2,48}, {18,35}, {24,45}, {1,29}, {19,42}, {12,37}, {6,46}, {10,35}, {8,38}, {13,26}, {17,36}, {2,29}, {18,47}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {13,41}, {24,37}, {18,29}, {9,36}, {1,43}, {9,39}, {8,42}, {5,27}, {3,43}, {15,28}, {20,41}, {2,39}, {9,46}, {24,40}, {14,35}, {7,32}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {20,25}, {4,32}, {2,44}, {19,27}, {23,39}, {16,29}, {11,36}, {3,30}, {22,48}, {22,26}, {14,33}, {10,38}, {15,34}, {10,46}, {11,33}, {13,25}, {21,25}, {14,39}, {21,31}, {11,48}, {19,30}, {8,47}, {4,41}, {8,41}, {18,38}, {21,37}, {7,46}, {8,45}, {17,31}, {1,41}, {22,29}, {11,44}, {4,47}, {20,31}, {24,39}, {3,25}, {23,48}, {21,42}, {7,35}, {19,45}, {22,30}, {2,27}, {12,30}, {6,30}, {22,44}, {7,34}, {10,31}, {9,31}, {10,44}, {24,25}, {17,46}, {1,25}, {23,35}, {9,30}, {5,39}, {18,44}, {14,27}, {22,45}, {16,41}, {7,28}, {6,45}, {20,44}, {13,29}, {15,46}, {20,47}, {23,47}, {16,30}, {12,45}, {4,34}, {10,25}, {15,35}, {6,31}, {11,32}, {16,26}, {12,25}, {15,40}, {3,42}, {1,44}, {13,38}, {23,27}, {18,31}, {24,43}, {16,45}, {22,41}, {4,29}, {1,32}, {21,39}, {6,43}, {6,37}, {8,32}, {22,39}, {24,27}, {17,25}, {19,34}, {16,44}, {2,41}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {7,29}, {22,38}, {8,36}, {13,44}, {8,27}, {2,45}, {21,46}, {3,48}, {3,33}, {16,36}, {14,26}, {23,32}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {19,43}, {18,28}, {15,29}, {11,47}, {4,46}, {11,45}, {20,28}, {21,33}, {12,36}, {16,27}, {3,45}, {19,25}, {5,26}, {7,47}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {17,34}, {15,47}, {22,33}, {13,34}, {11,41}, {7,25}, {1,34}, {22,27}, {13,35}, {21,27}, {17,40}, {12,34}, {8,44}, {19,36}, {23,30}, {6,28}, {6,42}, {4,35}, {21,48}, {18,43}, {7,26}, {23,33}, {2,47}, {16,35}, {14,42}, {10,34}, {16,33}, {3,40}, {17,27}, {8,35}, {17,45}, {9,45}, {14,41}, {4,26}, {17,37}, {13,28}, {1,28}, {3,27}, {7,38}, {5,42}, {2,38}, {10,43}, {21,36}, {15,31}, {7,44}, {7,43}, {18,40}, {9,40}, {24,42}, {20,40}, {15,26}, {9,43}, {22,47}, {8,39}, {22,32}, {9,42}, {5,36}, {9,34}, {15,43}, {13,46}, {10,32}, {23,26}, {17,43}, {1,37}, {2,42}, {16,32}, {6,33}, {18,34}, {3,46}, {9,48}, {17,48}, {5,48}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.130 // Bipartite(8,40) Valencies [15,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2063912140800000000 EdgesBipt[48][130]:={ {7,43}, {7,19}, {6,12}, {5,14}, {3,15}, {1,43}, {8,24}, {4,42}, {6,10}, {6,18}, {1,11}, {3,29}, {5,30}, {6,36}, {6,17}, {2,11}, {4,48}, {6,41}, {1,40}, {4,40}, {1,25}, {7,38}, {4,16}, {2,37}, {5,41}, {1,9}, {6,25}, {7,27}, {8,46}, {1,32}, {3,45}, {3,31}, {6,34}, {2,19}, {2,18}, {6,9}, {4,26}, {8,14}, {8,13}, {7,11}, {5,9}, {2,29}, {8,22}, {7,28}, {5,33}, {5,23}, {2,10}, {4,39}, {1,17}, {3,13}, {6,33}, {1,16}, {8,21}, {2,13}, {5,15}, {7,20}, {3,23}, {7,14}, {4,31}, {2,42}, {2,34}, {6,26}, {1,19}, {7,30}, {2,35}, {3,47}, {4,15}, {1,35}, {8,40}, {7,35}, {5,22}, {2,27}, {5,38}, {2,43}, {5,46}, {2,21}, {7,44}, {8,38}, {8,32}, {5,47}, {3,28}, {5,31}, {5,17}, {8,16}, {3,12}, {6,20}, {3,21}, {1,41}, {3,44}, {4,32}, {6,42}, {3,39}, {1,27}, {7,22}, {4,18}, {2,26}, {7,46}, {8,45}, {8,48}, {3,20}, {1,33}, {3,36}, {8,37}, {3,37}, {8,30}, {6,44}, {4,34}, {4,47}, {7,36}, {4,23}, {7,12}, {5,39}, {1,48}, {5,25}, {4,10}, {4,24}, {1,24}, {8,29}, {2,45}, {6,28} }; // ETB48.131 // Bipartite(12,36) Valencies [15,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 522427760640 EdgesBipt[48][131]:={ {2,44}, {8,48}, {10,25}, {4,27}, {4,24}, {10,37}, {4,30}, {6,17}, {2,23}, {1,13}, {12,32}, {4,29}, {8,33}, {3,43}, {12,38}, {7,41}, {7,44}, {10,26}, {2,15}, {9,44}, {7,22}, {2,27}, {12,42}, {3,35}, {5,47}, {9,43}, {7,34}, {1,21}, {2,28}, {1,30}, {4,23}, {10,22}, {11,28}, {6,29}, {3,17}, {6,21}, {2,25}, {5,40}, {11,33}, {6,31}, {1,38}, {9,48}, {10,38}, {1,18}, {3,14}, {7,20}, {9,32}, {9,27}, {12,20}, {12,36}, {4,41}, {8,41}, {9,19}, {2,37}, {5,43}, {12,44}, {8,14}, {7,46}, {8,45}, {4,42}, {2,39}, {11,15}, {7,32}, {11,22}, {7,13}, {7,25}, {10,28}, {2,35}, {3,44}, {4,47}, {6,43}, {12,16}, {5,23}, {10,31}, {3,20}, {9,34}, {2,13}, {2,20}, {10,40}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {4,35}, {8,36}, {6,33}, {2,32}, {1,23}, {7,17}, {11,30}, {5,24}, {4,48}, {12,28}, {8,22}, {1,45}, {5,48}, {9,20}, {4,15}, {10,46}, {1,33}, {10,13}, {3,29}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {6,15}, {10,43}, {4,36}, {8,21}, {1,42}, {3,19}, {5,31}, {6,27}, {11,39}, {12,40}, {12,30}, {3,23}, {12,14}, {5,36}, {1,25}, {6,19}, {11,46}, {7,29}, {6,41}, {1,35}, {1,37}, {11,16}, {8,34}, {5,33}, {11,27}, {6,45}, {8,38}, {1,26}, {10,34}, {8,24}, {2,47}, {6,25}, {1,47}, {2,40}, {11,40}, {9,36}, {4,18}, {9,39}, {12,48}, {10,19}, {3,38}, {11,45}, {12,24}, {8,46}, {5,45}, {3,41}, {3,31}, {9,24}, {1,14}, {9,46}, {6,39}, {6,37}, {11,34}, {10,14}, {3,47}, {5,19}, {5,21}, {9,15}, {6,13}, {7,37}, {5,35}, {9,31}, {4,17}, {11,42}, {4,39}, {7,42}, {8,29}, {12,18}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB48.132 // Bipartite(18,30) Valencies [15,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 169266594447360 EdgesBipt[48][132]:={ {6,48}, {10,24}, {13,32}, {2,33}, {17,35}, {17,44}, {4,27}, {2,46}, {13,21}, {11,35}, {5,34}, {18,48}, {4,24}, {15,24}, {16,33}, {17,38}, {15,46}, {10,37}, {17,47}, {4,30}, {11,25}, {16,27}, {8,30}, {16,40}, {18,46}, {7,48}, {2,23}, {8,43}, {9,45}, {5,38}, {16,47}, {7,38}, {8,42}, {18,38}, {15,31}, {4,29}, {1,32}, {3,45}, {8,33}, {3,25}, {10,23}, {12,38}, {7,41}, {17,34}, {9,44}, {4,19}, {16,19}, {7,22}, {12,41}, {15,44}, {10,33}, {1,19}, {3,35}, {5,47}, {2,26}, {1,21}, {17,24}, {18,21}, {10,44}, {8,25}, {18,41}, {5,32}, {16,23}, {9,35}, {4,23}, {12,37}, {13,29}, {16,29}, {2,42}, {15,25}, {11,28}, {16,43}, {18,37}, {10,30}, {2,45}, {15,45}, {16,30}, {15,29}, {6,47}, {6,21}, {3,34}, {2,25}, {14,23}, {11,38}, {3,46}, {6,40}, {6,31}, {1,38}, {14,33}, {2,36}, {5,22}, {9,29}, {10,47}, {17,37}, {14,36}, {16,24}, {9,26}, {18,20}, {12,20}, {12,36}, {12,46}, {9,19}, {8,45}, {14,30}, {14,40}, {7,39}, {9,41}, {5,25}, {7,32}, {15,26}, {1,31}, {11,22}, {7,43}, {2,35}, {11,44}, {1,22}, {3,44}, {6,30}, {4,47}, {4,33}, {10,29}, {9,34}, {13,22}, {15,19}, {2,20}, {16,37}, {10,40}, {1,29}, {3,39}, {13,31}, {18,30}, {9,25}, {15,41}, {8,36}, {2,32}, {13,33}, {1,23}, {13,43}, {6,46}, {15,35}, {5,24}, {12,47}, {17,27}, {13,23}, {12,28}, {8,22}, {14,42}, {15,34}, {17,48}, {5,48}, {8,35}, {13,28}, {18,26}, {1,28}, {18,27}, {18,47}, {18,36}, {4,43}, {1,33}, {3,29}, {1,43}, {3,26}, {5,28}, {15,36}, {8,26}, {18,31}, {5,42}, {12,26}, {7,31}, {10,43}, {17,28}, {12,27}, {8,32}, {1,42}, {3,19}, {14,22}, {6,27}, {11,24}, {17,25}, {5,44}, {6,26}, {8,40}, {12,40}, {12,30}, {8,23}, {1,39}, {3,21}, {16,44}, {7,29}, {6,41}, {6,28}, {10,39}, {13,42}, {14,20}, {15,21}, {16,34}, {14,25}, {7,28}, {4,37}, {14,45}, {4,40}, {7,23}, {13,19}, {6,36}, {11,37}, {3,24}, {11,27}, {18,28}, {10,27}, {2,22}, {4,34}, {10,34}, {11,32}, {13,48}, {14,32}, {16,20}, {13,41}, {6,38}, {2,40}, {9,36}, {11,47}, {5,27}, {14,43}, {16,39}, {9,39}, {13,38}, {12,48}, {10,19}, {17,45}, {4,20}, {11,45}, {11,48}, {8,20}, {8,46}, {14,35}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {15,39}, {9,24}, {18,40}, {9,46}, {10,20}, {14,46}, {7,33}, {6,37}, {12,31}, {11,34}, {17,42}, {6,20}, {13,39}, {17,22}, {2,30}, {5,35}, {9,31}, {5,37}, {7,19}, {2,43}, {17,32}, {9,21}, {3,36}, {11,42}, {4,39}, {7,42}, {4,44}, {7,21}, {12,21}, {14,26} }; // ETB48.133 // Bipartite(24,24) Valencies [15,15] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 34560 EdgesBipt[48][133]:={ {24,34}, {15,33}, {19,28}, {6,38}, {11,40}, {10,37}, {16,47}, {9,32}, {5,38}, {23,29}, {19,26}, {11,25}, {5,45}, {3,26}, {8,26}, {22,40}, {14,38}, {13,39}, {15,44}, {2,35}, {17,33}, {4,31}, {20,46}, {10,33}, {14,31}, {24,32}, {21,41}, {24,36}, {10,39}, {14,45}, {6,48}, {19,37}, {3,39}, {16,37}, {16,28}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {24,48}, {13,27}, {14,29}, {10,48}, {23,44}, {13,40}, {6,32}, {11,29}, {10,47}, {19,40}, {2,34}, {20,26}, {12,28}, {22,37}, {4,43}, {18,32}, {16,48}, {15,32}, {23,45}, {8,30}, {9,33}, {20,43}, {8,46}, {24,46}, {5,41}, {21,38}, {12,38}, {7,41}, {23,31}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {23,36}, {7,33}, {12,31}, {12,40}, {23,28}, {17,26}, {13,47}, {24,30}, {2,48}, {15,30}, {22,25}, {5,37}, {24,47}, {18,35}, {16,25}, {24,31}, {13,42}, {20,35}, {23,43}, {1,29}, {19,42}, {6,46}, {15,45}, {10,35}, {18,39}, {13,26}, {17,36}, {5,34}, {1,38}, {1,26}, {2,36}, {20,36}, {16,40}, {20,42}, {18,29}, {9,36}, {6,34}, {9,29}, {8,42}, {18,36}, {18,33}, {22,43}, {3,38}, {3,43}, {15,28}, {5,28}, {14,46}, {2,39}, {9,46}, {24,40}, {14,35}, {3,47}, {19,38}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {6,27}, {11,42}, {14,34}, {17,29}, {4,32}, {2,44}, {1,30}, {21,45}, {6,36}, {16,29}, {3,30}, {13,48}, {1,47}, {22,48}, {21,47}, {10,36}, {14,33}, {15,34}, {21,25}, {14,39}, {19,30}, {11,48}, {8,47}, {4,41}, {9,38}, {8,41}, {21,37}, {8,45}, {3,29}, {4,45}, {22,29}, {11,44}, {4,47}, {20,31}, {24,39}, {3,25}, {23,48}, {17,28}, {21,42}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {22,44}, {7,34}, {10,44}, {18,25}, {17,46}, {1,25}, {22,31}, {23,35}, {20,30}, {13,31}, {9,30}, {24,38}, {18,44}, {22,45}, {20,44}, {19,41}, {8,34}, {15,46}, {17,30}, {5,40}, {20,47}, {23,47}, {10,25}, {17,38}, {6,31}, {11,32}, {14,43}, {3,42}, {14,37}, {13,38}, {23,27}, {24,35}, {18,31}, {19,44}, {24,43}, {9,41}, {16,31}, {16,45}, {7,39}, {3,41}, {4,36}, {22,41}, {4,29}, {9,44}, {21,39}, {19,29}, {22,39}, {10,28}, {17,25}, {20,48}, {19,34}, {4,44}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {7,29}, {14,47}, {2,28}, {8,29}, {13,44}, {8,27}, {21,46}, {5,46}, {6,47}, {16,36}, {13,32}, {1,45}, {23,32}, {11,30}, {19,33}, {18,28}, {15,29}, {8,43}, {11,45}, {18,27}, {1,33}, {20,28}, {21,33}, {12,36}, {16,27}, {3,45}, {12,44}, {5,26}, {19,25}, {10,41}, {14,30}, {21,34}, {7,31}, {8,33}, {12,39}, {17,34}, {20,27}, {21,35}, {15,48}, {11,41}, {7,25}, {6,26}, {15,42}, {1,34}, {22,27}, {21,43}, {7,42}, {21,27}, {17,40}, {24,44}, {12,34}, {19,36}, {6,28}, {4,35}, {19,32}, {18,43}, {20,34}, {7,26}, {11,37}, {23,33}, {11,28}, {2,47}, {16,35}, {14,42}, {10,27}, {16,33}, {8,35}, {10,45}, {2,40}, {17,45}, {9,45}, {14,41}, {17,37}, {16,39}, {13,28}, {23,25}, {3,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {7,43}, {18,40}, {9,40}, {24,42}, {1,27}, {5,44}, {5,25}, {15,26}, {22,47}, {1,46}, {3,37}, {22,32}, {9,42}, {23,41}, {5,36}, {9,34}, {13,46}, {4,39}, {12,35}, {6,35}, {17,32}, {21,26}, {22,28}, {1,37}, {8,25}, {2,42}, {16,32}, {4,48}, {11,26}, {3,46}, {9,48}, {17,48}, {5,48}, {15,25}, {5,33}, {18,37}, {11,38}, {9,37}, {6,40} }; // ETB48.134 // Bipartite(16,32) Valencies [16,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 12288 EdgesBipt[48][134]:={ {6,48}, {8,48}, {2,44}, {11,17}, {3,33}, {16,41}, {10,24}, {1,20}, {5,17}, {9,28}, {13,32}, {11,36}, {2,46}, {12,29}, {5,34}, {13,40}, {14,19}, {16,26}, {3,22}, {3,40}, {10,37}, {4,30}, {11,25}, {16,27}, {16,40}, {8,43}, {12,32}, {16,47}, {7,38}, {8,42}, {16,31}, {1,32}, {8,33}, {1,27}, {3,25}, {10,23}, {12,38}, {7,44}, {9,44}, {4,19}, {14,38}, {7,22}, {12,39}, {15,44}, {10,33}, {1,19}, {3,35}, {5,47}, {5,20}, {9,43}, {15,48}, {1,21}, {11,41}, {12,35}, {7,36}, {15,43}, {8,25}, {2,41}, {13,47}, {2,28}, {1,30}, {5,32}, {16,23}, {14,28}, {4,23}, {16,29}, {10,22}, {15,25}, {2,45}, {16,30}, {6,21}, {3,34}, {5,40}, {2,25}, {3,46}, {10,48}, {6,31}, {11,33}, {2,34}, {1,17}, {2,36}, {5,22}, {10,38}, {9,29}, {1,18}, {7,20}, {10,47}, {9,32}, {14,21}, {15,32}, {16,24}, {9,26}, {9,27}, {12,20}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {7,46}, {8,45}, {14,30}, {7,39}, {4,42}, {9,41}, {5,25}, {2,39}, {4,45}, {11,22}, {11,31}, {11,44}, {1,22}, {6,30}, {4,47}, {6,43}, {3,20}, {15,19}, {2,48}, {10,40}, {12,43}, {7,30}, {8,17}, {3,39}, {13,31}, {11,21}, {9,25}, {6,33}, {13,33}, {14,48}, {5,18}, {1,23}, {13,43}, {6,24}, {6,46}, {15,35}, {12,47}, {4,48}, {13,23}, {12,28}, {15,37}, {14,42}, {15,34}, {10,42}, {15,20}, {9,20}, {3,27}, {10,46}, {4,28}, {1,33}, {4,43}, {10,45}, {3,29}, {6,23}, {3,26}, {5,28}, {13,36}, {15,36}, {8,26}, {5,42}, {12,26}, {16,22}, {7,31}, {4,36}, {7,47}, {8,32}, {16,45}, {8,21}, {1,42}, {1,24}, {14,18}, {12,23}, {14,22}, {13,24}, {5,44}, {6,26}, {8,40}, {12,40}, {12,30}, {5,36}, {3,21}, {6,19}, {11,46}, {6,41}, {9,30}, {13,27}, {1,35}, {1,37}, {15,21}, {14,25}, {16,17}, {7,28}, {4,37}, {14,45}, {15,18}, {10,35}, {7,23}, {8,34}, {3,24}, {11,37}, {2,29}, {11,27}, {6,45}, {1,26}, {14,44}, {10,36}, {10,34}, {9,17}, {10,18}, {15,33}, {8,24}, {2,47}, {13,41}, {6,38}, {2,40}, {2,31}, {16,42}, {5,27}, {15,38}, {8,18}, {16,46}, {4,18}, {9,39}, {11,19}, {12,48}, {3,38}, {11,45}, {12,24}, {7,27}, {14,35}, {13,37}, {3,31}, {15,39}, {6,39}, {14,46}, {6,37}, {11,34}, {13,34}, {7,35}, {13,39}, {13,17}, {7,37}, {13,20}, {5,35}, {9,31}, {7,19}, {2,43}, {4,17}, {9,21}, {11,42}, {16,28}, {4,44}, {8,29}, {4,32}, {12,18}, {14,29}, {14,26} }; // ETB48.135 // Bipartite(16,32) Valencies [16,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[48][135]:={ {11,17}, {16,41}, {10,25}, {5,17}, {2,24}, {10,24}, {11,20}, {9,28}, {2,33}, {11,36}, {2,46}, {13,40}, {4,24}, {15,24}, {16,26}, {4,26}, {10,37}, {4,30}, {16,27}, {8,30}, {16,40}, {7,48}, {14,39}, {2,23}, {9,45}, {5,38}, {12,32}, {8,42}, {8,28}, {16,31}, {4,29}, {1,32}, {3,45}, {8,33}, {3,43}, {3,25}, {10,23}, {7,41}, {7,44}, {10,26}, {14,38}, {16,19}, {7,22}, {12,39}, {4,31}, {12,41}, {1,19}, {2,27}, {5,20}, {9,43}, {3,37}, {13,35}, {15,48}, {2,26}, {14,31}, {1,21}, {15,47}, {16,18}, {12,35}, {7,36}, {15,43}, {8,25}, {10,44}, {2,41}, {5,32}, {8,31}, {8,27}, {12,37}, {10,22}, {6,22}, {15,25}, {6,29}, {15,45}, {4,38}, {15,29}, {6,47}, {6,21}, {3,34}, {5,40}, {14,23}, {11,38}, {3,46}, {10,48}, {6,31}, {1,38}, {2,34}, {1,17}, {2,36}, {9,47}, {4,22}, {1,18}, {14,21}, {9,27}, {1,44}, {12,46}, {2,37}, {5,43}, {7,46}, {8,45}, {14,30}, {7,39}, {9,41}, {2,39}, {11,22}, {7,43}, {11,31}, {14,24}, {11,44}, {1,22}, {3,44}, {4,33}, {5,23}, {10,29}, {3,20}, {10,31}, {9,34}, {13,22}, {9,42}, {2,20}, {6,18}, {12,43}, {1,29}, {3,32}, {4,35}, {6,33}, {13,33}, {16,32}, {11,23}, {13,43}, {11,29}, {5,30}, {14,47}, {7,17}, {6,46}, {5,24}, {4,48}, {12,28}, {12,25}, {15,37}, {1,45}, {5,48}, {8,35}, {13,28}, {15,20}, {1,28}, {3,27}, {10,46}, {4,28}, {1,43}, {8,37}, {13,36}, {15,36}, {8,26}, {12,33}, {5,41}, {4,36}, {7,47}, {12,27}, {9,40}, {14,17}, {8,32}, {1,42}, {3,19}, {14,18}, {5,44}, {12,30}, {3,23}, {14,34}, {10,32}, {3,21}, {1,25}, {6,19}, {16,44}, {6,28}, {9,30}, {10,39}, {1,35}, {13,46}, {13,42}, {15,21}, {16,34}, {14,25}, {16,17}, {6,42}, {11,26}, {13,26}, {4,40}, {10,35}, {7,23}, {13,19}, {6,36}, {8,34}, {9,18}, {16,35}, {8,38}, {14,44}, {15,22}, {9,17}, {13,48}, {14,32}, {15,33}, {2,47}, {6,25}, {13,41}, {2,40}, {2,31}, {11,40}, {9,33}, {9,36}, {16,42}, {6,34}, {11,47}, {5,27}, {15,38}, {5,26}, {16,46}, {3,42}, {4,18}, {16,39}, {9,38}, {11,19}, {12,48}, {10,19}, {11,45}, {8,20}, {12,24}, {15,23}, {13,37}, {5,45}, {3,41}, {1,48}, {7,24}, {10,20}, {6,39}, {6,37}, {3,47}, {11,34}, {2,30}, {13,45}, {15,30}, {13,20}, {5,35}, {7,19}, {4,17}, {9,21}, {11,42}, {4,39}, {16,28}, {7,40}, {7,21}, {14,27}, {8,29}, {12,18}, {12,21}, {14,29}, {7,18} }; // ETB48.136 // Bipartite(16,32) Valencies [16,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1024 EdgesBipt[48][136]:={ {2,44}, {3,33}, {1,20}, {11,20}, {13,32}, {6,32}, {4,27}, {2,46}, {12,29}, {13,21}, {4,24}, {15,24}, {3,22}, {3,40}, {15,46}, {4,30}, {11,25}, {16,40}, {7,48}, {6,17}, {8,43}, {9,45}, {12,22}, {16,47}, {15,31}, {4,29}, {1,32}, {1,27}, {3,25}, {10,23}, {12,38}, {10,26}, {9,44}, {4,19}, {14,38}, {16,19}, {2,19}, {15,44}, {12,42}, {3,35}, {15,48}, {2,26}, {11,41}, {12,35}, {7,36}, {8,25}, {12,34}, {16,23}, {9,35}, {8,44}, {4,23}, {13,29}, {16,29}, {2,42}, {15,25}, {3,18}, {16,43}, {10,30}, {6,29}, {4,38}, {6,47}, {6,21}, {3,34}, {14,23}, {3,46}, {6,40}, {14,33}, {1,17}, {9,48}, {9,47}, {5,22}, {10,38}, {9,29}, {1,18}, {7,20}, {9,32}, {14,36}, {12,17}, {15,32}, {12,36}, {8,41}, {2,38}, {8,47}, {12,46}, {2,37}, {5,43}, {12,44}, {7,46}, {14,30}, {14,40}, {7,39}, {15,26}, {10,41}, {4,45}, {10,28}, {11,31}, {2,35}, {1,22}, {15,27}, {6,30}, {5,23}, {3,20}, {13,22}, {10,21}, {2,48}, {16,37}, {10,40}, {7,30}, {8,17}, {3,39}, {13,31}, {9,25}, {15,41}, {6,33}, {14,48}, {5,18}, {1,23}, {11,23}, {13,43}, {14,47}, {6,46}, {11,30}, {5,24}, {9,37}, {4,48}, {12,28}, {8,22}, {1,45}, {14,42}, {5,48}, {8,35}, {10,42}, {13,28}, {1,28}, {14,41}, {4,28}, {1,33}, {4,43}, {3,26}, {8,37}, {5,28}, {8,26}, {5,42}, {16,22}, {9,22}, {7,31}, {12,33}, {5,41}, {4,36}, {10,43}, {14,17}, {8,32}, {16,45}, {8,21}, {1,24}, {14,18}, {5,31}, {6,27}, {13,24}, {5,44}, {11,39}, {12,19}, {8,23}, {1,39}, {3,21}, {1,25}, {7,29}, {13,27}, {13,46}, {15,21}, {16,34}, {5,39}, {14,25}, {16,17}, {7,28}, {4,37}, {11,26}, {13,26}, {14,45}, {15,18}, {13,19}, {16,36}, {6,36}, {2,21}, {8,34}, {10,17}, {11,37}, {2,29}, {11,27}, {16,35}, {10,27}, {8,38}, {14,44}, {10,34}, {11,32}, {10,18}, {15,33}, {16,20}, {8,24}, {2,47}, {6,25}, {6,38}, {2,40}, {2,31}, {11,40}, {9,33}, {9,36}, {16,42}, {6,34}, {11,47}, {15,38}, {5,26}, {3,42}, {15,28}, {16,39}, {9,39}, {10,19}, {11,45}, {11,48}, {12,24}, {7,27}, {7,45}, {14,35}, {1,41}, {13,37}, {5,45}, {3,41}, {3,31}, {9,24}, {9,46}, {10,20}, {7,33}, {6,37}, {3,47}, {13,34}, {5,19}, {6,20}, {13,39}, {11,43}, {2,30}, {15,30}, {13,20}, {5,35}, {9,31}, {1,34}, {7,19}, {2,43}, {4,17}, {7,40}, {7,42}, {4,44}, {4,32}, {12,18}, {1,36}, {12,21}, {7,18} }; // ETB48.137 // Bipartite(16,32) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7014828335517747118080000 EdgesBipt[48][137]:={ {10,25}, {1,20}, {5,17}, {11,20}, {9,28}, {13,32}, {2,33}, {11,36}, {4,27}, {2,46}, {13,21}, {11,35}, {13,40}, {15,24}, {16,26}, {4,26}, {3,40}, {10,37}, {4,30}, {16,27}, {8,30}, {7,48}, {6,17}, {8,43}, {9,45}, {12,22}, {16,47}, {8,42}, {16,31}, {15,31}, {1,32}, {3,43}, {12,38}, {7,44}, {1,40}, {10,26}, {9,44}, {4,19}, {14,38}, {16,19}, {12,39}, {4,31}, {15,44}, {10,33}, {12,42}, {3,35}, {5,20}, {15,48}, {2,26}, {8,39}, {1,21}, {15,47}, {16,18}, {12,35}, {7,36}, {15,43}, {2,41}, {12,34}, {5,32}, {16,23}, {4,23}, {8,31}, {8,27}, {13,29}, {2,42}, {10,22}, {6,22}, {11,28}, {16,43}, {10,30}, {6,29}, {2,45}, {16,30}, {4,38}, {6,21}, {2,25}, {5,40}, {2,34}, {14,33}, {1,17}, {9,48}, {4,22}, {10,38}, {9,29}, {8,19}, {7,20}, {9,32}, {14,21}, {15,32}, {15,40}, {1,44}, {5,29}, {2,38}, {8,47}, {12,46}, {2,37}, {14,30}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {10,41}, {7,43}, {11,31}, {11,44}, {15,27}, {3,44}, {6,30}, {4,47}, {10,29}, {3,20}, {15,19}, {10,21}, {6,18}, {12,43}, {1,29}, {3,39}, {3,32}, {4,35}, {9,25}, {6,33}, {13,33}, {11,23}, {13,44}, {6,46}, {15,35}, {5,24}, {9,37}, {12,47}, {8,22}, {1,45}, {14,42}, {5,48}, {13,25}, {8,35}, {10,42}, {13,28}, {15,20}, {9,20}, {1,28}, {14,41}, {3,27}, {14,37}, {10,46}, {4,43}, {1,33}, {10,45}, {4,46}, {16,38}, {5,28}, {13,36}, {15,36}, {8,26}, {12,26}, {16,22}, {7,31}, {5,41}, {2,17}, {7,47}, {12,27}, {9,40}, {14,17}, {3,19}, {1,24}, {14,18}, {12,23}, {14,22}, {11,24}, {13,24}, {5,44}, {11,39}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {14,34}, {5,36}, {1,25}, {6,41}, {1,37}, {16,34}, {14,25}, {7,28}, {6,42}, {14,45}, {7,23}, {2,21}, {8,34}, {5,33}, {10,17}, {3,24}, {2,29}, {11,27}, {16,35}, {6,45}, {8,38}, {2,22}, {4,34}, {3,48}, {10,34}, {11,32}, {9,17}, {10,18}, {13,48}, {6,25}, {13,41}, {6,38}, {11,40}, {9,33}, {9,36}, {16,42}, {6,34}, {11,47}, {8,18}, {16,46}, {4,18}, {15,28}, {16,39}, {11,19}, {11,48}, {3,28}, {7,27}, {8,46}, {15,23}, {1,41}, {13,37}, {5,45}, {1,48}, {7,24}, {3,31}, {15,39}, {9,24}, {14,46}, {6,37}, {12,31}, {3,47}, {7,35}, {11,43}, {5,21}, {2,30}, {13,17}, {13,45}, {13,20}, {2,18}, {5,37}, {7,19}, {9,21}, {3,36}, {4,39}, {7,40}, {12,18}, {1,36}, {14,29}, {14,26} }; // ETB48.138 // Bipartite(16,32) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5410421842378752 EdgesBipt[48][138]:={ {16,41}, {10,24}, {1,20}, {2,24}, {10,25}, {9,28}, {2,33}, {4,27}, {2,46}, {12,29}, {11,35}, {5,34}, {4,24}, {15,24}, {16,26}, {16,33}, {3,22}, {12,45}, {15,46}, {10,37}, {8,30}, {7,48}, {6,17}, {12,32}, {16,47}, {7,38}, {8,42}, {16,31}, {15,31}, {4,29}, {1,32}, {3,45}, {8,33}, {3,43}, {1,40}, {9,44}, {4,19}, {7,22}, {10,33}, {3,35}, {5,47}, {5,20}, {3,37}, {13,35}, {15,48}, {8,39}, {15,47}, {16,18}, {16,25}, {12,35}, {15,43}, {8,25}, {2,41}, {13,47}, {16,23}, {14,28}, {8,31}, {12,37}, {10,22}, {3,18}, {10,30}, {6,29}, {2,45}, {16,30}, {6,21}, {3,34}, {2,25}, {11,38}, {3,46}, {10,48}, {14,33}, {1,17}, {9,48}, {9,47}, {10,38}, {9,32}, {14,21}, {14,36}, {15,32}, {12,20}, {12,36}, {15,40}, {1,44}, {8,41}, {2,38}, {8,47}, {2,37}, {5,43}, {12,44}, {7,46}, {7,39}, {9,41}, {7,32}, {1,31}, {10,41}, {4,45}, {11,22}, {7,43}, {15,27}, {5,23}, {4,21}, {10,29}, {15,19}, {10,21}, {6,18}, {13,18}, {2,48}, {10,40}, {12,43}, {7,30}, {8,17}, {13,31}, {11,21}, {4,35}, {9,25}, {2,32}, {6,33}, {5,18}, {1,23}, {13,43}, {11,29}, {13,44}, {6,44}, {11,30}, {15,35}, {4,48}, {13,23}, {12,28}, {8,22}, {14,42}, {13,28}, {9,20}, {1,28}, {14,41}, {3,27}, {14,37}, {10,46}, {4,28}, {1,33}, {4,43}, {10,45}, {3,29}, {3,26}, {16,38}, {5,28}, {13,36}, {8,26}, {5,42}, {16,22}, {7,31}, {2,17}, {4,36}, {7,47}, {12,27}, {9,40}, {14,17}, {3,19}, {1,24}, {14,18}, {5,31}, {5,44}, {6,26}, {12,19}, {12,40}, {8,23}, {14,34}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {11,46}, {6,41}, {6,28}, {13,27}, {13,42}, {14,20}, {16,34}, {5,39}, {14,25}, {16,17}, {4,37}, {6,42}, {11,26}, {13,26}, {14,45}, {4,40}, {7,23}, {13,19}, {6,36}, {2,21}, {3,30}, {8,34}, {10,17}, {11,37}, {2,29}, {11,27}, {6,45}, {8,38}, {2,22}, {14,44}, {15,22}, {9,17}, {6,25}, {1,47}, {2,40}, {9,33}, {9,36}, {16,42}, {6,34}, {5,27}, {15,38}, {5,26}, {8,18}, {16,46}, {3,42}, {16,39}, {9,39}, {11,19}, {12,48}, {3,38}, {4,20}, {11,45}, {12,24}, {7,27}, {8,46}, {15,23}, {1,41}, {1,48}, {7,24}, {15,39}, {9,24}, {6,37}, {11,34}, {13,34}, {5,19}, {6,20}, {7,35}, {13,39}, {11,43}, {2,30}, {15,30}, {13,20}, {5,35}, {9,31}, {7,19}, {11,42}, {7,40}, {4,44}, {9,23}, {4,32}, {11,18}, {1,36}, {12,21}, {14,29}, {14,26} }; // ETB48.139 // Bipartite(16,32) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 42268920643584 EdgesBipt[48][139]:={ {6,48}, {8,48}, {2,44}, {11,17}, {16,41}, {10,24}, {10,25}, {11,20}, {2,33}, {6,32}, {11,36}, {13,21}, {11,35}, {5,34}, {14,19}, {16,33}, {3,22}, {4,30}, {11,25}, {8,30}, {7,48}, {2,23}, {8,43}, {9,45}, {16,47}, {16,31}, {15,31}, {4,29}, {1,32}, {3,45}, {1,27}, {3,43}, {10,23}, {7,41}, {1,40}, {4,31}, {12,41}, {15,44}, {1,19}, {10,33}, {12,42}, {3,35}, {3,37}, {13,35}, {2,26}, {7,34}, {11,41}, {15,47}, {16,25}, {12,35}, {2,41}, {2,28}, {12,34}, {1,30}, {5,32}, {16,23}, {4,23}, {8,27}, {13,29}, {2,42}, {10,22}, {11,28}, {10,30}, {6,29}, {15,45}, {16,30}, {4,38}, {15,29}, {6,47}, {6,21}, {2,25}, {5,40}, {11,38}, {3,46}, {10,48}, {6,40}, {6,31}, {11,33}, {1,38}, {2,34}, {14,33}, {1,17}, {9,48}, {2,36}, {9,47}, {4,22}, {8,19}, {9,29}, {10,38}, {10,47}, {9,32}, {12,17}, {12,20}, {12,36}, {5,29}, {5,43}, {12,44}, {8,45}, {14,40}, {7,39}, {2,39}, {7,32}, {15,26}, {10,41}, {4,45}, {11,22}, {7,25}, {14,24}, {11,44}, {1,22}, {3,44}, {4,47}, {4,21}, {3,20}, {10,31}, {15,42}, {2,20}, {6,18}, {13,18}, {10,40}, {12,43}, {7,26}, {14,48}, {5,18}, {13,43}, {6,24}, {13,44}, {7,17}, {11,30}, {5,24}, {9,37}, {12,28}, {12,25}, {15,37}, {8,22}, {14,42}, {15,34}, {5,48}, {8,35}, {13,28}, {15,20}, {14,41}, {3,27}, {10,46}, {4,28}, {1,33}, {3,29}, {6,23}, {1,43}, {4,46}, {16,38}, {8,37}, {13,36}, {15,36}, {5,42}, {12,26}, {16,22}, {9,22}, {7,31}, {12,33}, {2,17}, {4,36}, {7,47}, {12,27}, {9,40}, {14,17}, {8,32}, {8,21}, {3,19}, {1,24}, {14,18}, {6,26}, {8,40}, {12,19}, {14,34}, {10,32}, {3,21}, {1,25}, {1,46}, {11,46}, {16,44}, {9,30}, {10,39}, {13,27}, {1,35}, {13,42}, {15,21}, {14,25}, {16,17}, {4,37}, {6,42}, {13,26}, {15,18}, {7,23}, {13,19}, {16,36}, {3,30}, {10,17}, {11,27}, {6,45}, {8,38}, {14,32}, {16,20}, {8,24}, {2,47}, {2,31}, {6,34}, {5,27}, {14,43}, {5,26}, {16,46}, {15,28}, {16,39}, {9,39}, {9,38}, {11,19}, {3,38}, {4,20}, {3,28}, {8,46}, {14,35}, {15,23}, {1,41}, {13,37}, {5,45}, {1,48}, {7,24}, {15,39}, {9,24}, {9,46}, {6,39}, {7,33}, {6,37}, {13,34}, {5,19}, {11,43}, {5,21}, {13,45}, {13,20}, {5,35}, {2,18}, {9,31}, {5,37}, {9,21}, {3,36}, {4,39}, {16,28}, {7,40}, {7,42}, {9,23}, {4,44}, {14,27}, {8,29}, {12,18}, {14,26}, {7,18} }; // ETB48.140 // Bipartite(16,32) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6442450944 EdgesBipt[48][140]:={ {6,48}, {2,44}, {11,17}, {3,33}, {16,41}, {9,28}, {6,32}, {4,27}, {2,46}, {12,29}, {13,21}, {11,35}, {13,40}, {14,19}, {16,26}, {16,33}, {3,40}, {12,45}, {10,37}, {8,30}, {16,40}, {7,48}, {6,17}, {2,23}, {5,38}, {12,32}, {7,38}, {8,42}, {15,31}, {4,29}, {1,32}, {3,45}, {8,33}, {1,27}, {3,43}, {10,23}, {7,41}, {9,44}, {4,19}, {7,22}, {4,31}, {3,35}, {5,47}, {5,20}, {9,43}, {3,37}, {13,35}, {15,48}, {8,39}, {7,34}, {15,47}, {16,25}, {12,35}, {7,36}, {8,25}, {10,44}, {13,47}, {2,28}, {12,34}, {1,30}, {16,23}, {13,29}, {10,22}, {15,25}, {11,28}, {10,30}, {3,17}, {2,45}, {16,30}, {5,40}, {3,46}, {6,40}, {11,33}, {2,34}, {14,33}, {1,17}, {9,48}, {5,22}, {10,38}, {1,18}, {7,20}, {10,47}, {9,32}, {14,36}, {15,32}, {16,24}, {9,26}, {9,27}, {12,20}, {12,36}, {1,44}, {5,29}, {8,41}, {2,38}, {2,37}, {12,44}, {14,40}, {7,39}, {5,25}, {2,39}, {7,32}, {15,26}, {4,45}, {7,25}, {10,28}, {14,24}, {11,44}, {3,44}, {4,47}, {6,43}, {10,29}, {10,31}, {9,34}, {13,22}, {15,42}, {10,21}, {9,42}, {16,37}, {12,43}, {8,17}, {13,31}, {11,21}, {4,35}, {15,41}, {7,26}, {6,33}, {14,48}, {1,23}, {6,24}, {11,29}, {11,30}, {5,24}, {12,47}, {4,48}, {12,28}, {8,22}, {14,42}, {15,34}, {13,25}, {15,20}, {1,28}, {14,41}, {3,27}, {10,46}, {4,28}, {1,33}, {4,43}, {10,45}, {3,29}, {1,43}, {16,38}, {8,37}, {13,36}, {15,36}, {8,26}, {16,22}, {7,31}, {5,41}, {4,36}, {7,47}, {12,27}, {14,17}, {8,21}, {1,42}, {3,19}, {5,31}, {6,27}, {11,24}, {13,24}, {6,26}, {8,40}, {12,19}, {8,23}, {1,39}, {5,36}, {3,21}, {6,19}, {1,46}, {11,46}, {6,41}, {9,30}, {10,39}, {14,20}, {14,25}, {16,17}, {16,21}, {6,42}, {15,18}, {7,23}, {13,19}, {6,36}, {2,21}, {3,30}, {9,18}, {3,24}, {11,37}, {2,29}, {11,27}, {8,38}, {1,26}, {2,22}, {4,34}, {10,34}, {15,22}, {9,17}, {10,18}, {14,32}, {8,24}, {2,47}, {6,25}, {13,41}, {2,31}, {11,40}, {9,33}, {16,42}, {14,43}, {15,38}, {16,46}, {4,18}, {16,39}, {9,39}, {13,38}, {11,19}, {12,48}, {4,20}, {11,45}, {3,28}, {8,46}, {14,35}, {15,23}, {13,37}, {5,45}, {1,48}, {15,39}, {9,46}, {12,31}, {5,19}, {6,20}, {11,43}, {5,21}, {2,30}, {13,45}, {13,20}, {5,35}, {2,18}, {1,34}, {5,37}, {6,35}, {7,42}, {9,23}, {4,44}, {14,27}, {4,32}, {12,18}, {14,26}, {7,18} }; // ETB48.141 // Bipartite(16,32) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1409286144 EdgesBipt[48][141]:={ {8,48}, {3,33}, {16,41}, {1,20}, {10,24}, {13,32}, {2,33}, {4,27}, {12,29}, {11,35}, {5,34}, {4,24}, {3,22}, {3,40}, {12,45}, {10,37}, {4,30}, {8,30}, {16,40}, {6,17}, {2,23}, {8,43}, {9,45}, {5,38}, {12,22}, {12,32}, {16,47}, {16,31}, {3,45}, {3,25}, {12,38}, {7,44}, {10,26}, {4,19}, {16,19}, {15,44}, {2,27}, {12,42}, {5,47}, {5,20}, {9,43}, {13,35}, {15,48}, {2,26}, {14,31}, {8,39}, {1,21}, {16,18}, {16,25}, {12,35}, {8,25}, {10,44}, {12,34}, {1,30}, {9,35}, {8,27}, {2,42}, {6,22}, {15,25}, {10,30}, {3,17}, {2,45}, {15,45}, {16,30}, {15,29}, {6,47}, {10,48}, {6,40}, {6,31}, {1,17}, {2,36}, {9,47}, {5,22}, {9,29}, {14,21}, {14,36}, {15,32}, {16,24}, {9,27}, {1,44}, {4,41}, {5,29}, {8,41}, {9,19}, {2,37}, {14,40}, {9,41}, {2,39}, {1,31}, {10,28}, {11,31}, {14,24}, {3,44}, {6,30}, {6,43}, {4,33}, {5,23}, {4,21}, {3,20}, {13,22}, {15,19}, {10,21}, {2,20}, {2,48}, {10,40}, {12,43}, {3,32}, {11,21}, {4,35}, {9,25}, {15,41}, {8,36}, {6,33}, {2,32}, {7,26}, {13,33}, {5,18}, {1,23}, {11,23}, {6,24}, {13,44}, {14,47}, {7,17}, {6,46}, {11,30}, {15,35}, {4,48}, {13,23}, {15,37}, {8,22}, {15,34}, {10,42}, {13,28}, {1,28}, {14,41}, {14,37}, {10,46}, {4,43}, {1,33}, {3,29}, {4,46}, {16,38}, {5,28}, {5,42}, {12,26}, {16,22}, {9,22}, {7,31}, {13,30}, {2,17}, {7,47}, {12,27}, {8,32}, {14,18}, {5,31}, {6,27}, {5,44}, {11,39}, {6,26}, {12,19}, {12,40}, {8,23}, {14,34}, {1,39}, {10,32}, {5,36}, {1,25}, {1,46}, {11,46}, {16,44}, {7,29}, {13,46}, {13,42}, {1,37}, {14,20}, {15,21}, {16,34}, {5,39}, {14,25}, {7,28}, {4,37}, {6,42}, {11,26}, {13,26}, {14,45}, {15,18}, {4,40}, {13,19}, {6,36}, {2,21}, {8,34}, {3,24}, {11,37}, {2,29}, {11,27}, {16,35}, {8,38}, {10,36}, {3,48}, {10,34}, {9,17}, {10,18}, {13,48}, {1,47}, {6,38}, {9,33}, {11,47}, {14,43}, {5,26}, {8,18}, {16,46}, {15,28}, {9,39}, {13,38}, {9,38}, {11,19}, {12,48}, {4,25}, {3,38}, {3,28}, {8,20}, {12,24}, {7,45}, {8,46}, {15,23}, {1,41}, {5,45}, {3,41}, {7,24}, {15,39}, {10,20}, {7,33}, {11,34}, {6,20}, {7,35}, {13,39}, {11,43}, {13,17}, {7,37}, {9,31}, {7,19}, {2,43}, {4,17}, {3,36}, {11,42}, {16,28}, {7,40}, {7,42}, {9,23}, {7,21}, {14,27}, {4,32}, {12,18}, {11,18}, {1,36}, {14,29} }; // ETB48.142 // Bipartite(24,24) Valencies [16,16] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 51558988266055441317888000000 EdgesBipt[48][142]:={ {15,33}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {9,32}, {5,38}, {23,29}, {11,25}, {4,28}, {5,43}, {3,26}, {8,26}, {22,40}, {13,37}, {1,40}, {14,38}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {15,27}, {24,32}, {21,41}, {24,36}, {10,39}, {6,48}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {24,48}, {13,27}, {14,29}, {10,48}, {23,44}, {13,40}, {14,44}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {6,29}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {22,37}, {2,25}, {12,48}, {4,43}, {16,42}, {16,48}, {18,32}, {15,32}, {4,30}, {23,38}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {5,41}, {21,38}, {12,38}, {23,31}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {22,42}, {7,33}, {19,48}, {20,29}, {23,28}, {17,26}, {24,30}, {15,30}, {22,25}, {5,37}, {24,47}, {18,35}, {16,25}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,36}, {19,42}, {16,34}, {16,43}, {15,45}, {6,44}, {18,39}, {24,26}, {8,38}, {17,47}, {9,47}, {2,29}, {5,34}, {18,47}, {14,32}, {16,40}, {22,34}, {18,29}, {9,36}, {1,43}, {9,29}, {9,39}, {18,26}, {18,33}, {18,36}, {22,43}, {3,38}, {19,46}, {5,28}, {24,41}, {14,46}, {20,41}, {14,35}, {3,47}, {1,42}, {1,31}, {12,27}, {1,39}, {7,37}, {6,27}, {5,35}, {14,34}, {3,36}, {17,29}, {20,25}, {2,44}, {1,30}, {21,45}, {19,27}, {14,28}, {12,47}, {6,36}, {23,40}, {3,30}, {13,48}, {22,48}, {21,47}, {10,36}, {10,46}, {13,25}, {19,30}, {8,47}, {8,41}, {9,38}, {9,26}, {18,38}, {7,46}, {3,29}, {17,31}, {13,36}, {4,45}, {12,41}, {11,44}, {13,45}, {3,44}, {20,31}, {24,39}, {11,34}, {17,28}, {21,42}, {19,45}, {11,46}, {2,43}, {22,30}, {12,30}, {6,30}, {4,33}, {7,34}, {10,31}, {17,46}, {1,25}, {22,31}, {23,35}, {13,31}, {9,30}, {24,38}, {3,32}, {18,44}, {22,45}, {7,28}, {6,45}, {20,44}, {17,44}, {8,34}, {10,30}, {5,40}, {20,47}, {23,47}, {16,30}, {12,45}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {11,32}, {21,32}, {14,43}, {3,42}, {14,37}, {24,35}, {14,40}, {1,48}, {9,41}, {16,31}, {16,45}, {7,39}, {3,41}, {23,34}, {4,36}, {15,39}, {9,44}, {24,29}, {21,39}, {8,32}, {22,39}, {24,27}, {10,28}, {5,31}, {17,25}, {19,34}, {7,40}, {2,41}, {17,41}, {20,32}, {2,26}, {18,41}, {10,40}, {23,37}, {14,47}, {18,30}, {2,28}, {8,29}, {5,46}, {6,47}, {3,48}, {3,33}, {16,36}, {14,26}, {1,45}, {23,32}, {19,33}, {19,39}, {4,27}, {19,43}, {16,46}, {15,29}, {11,47}, {4,46}, {8,43}, {2,31}, {1,33}, {18,27}, {20,28}, {21,33}, {12,36}, {16,27}, {3,45}, {12,44}, {5,26}, {19,25}, {2,37}, {4,42}, {5,29}, {4,25}, {7,31}, {12,33}, {12,39}, {5,47}, {17,34}, {21,35}, {15,47}, {22,33}, {11,31}, {21,44}, {15,48}, {13,34}, {11,41}, {7,25}, {6,26}, {15,42}, {1,34}, {22,27}, {7,42}, {21,27}, {6,41}, {21,29}, {17,40}, {24,44}, {8,44}, {19,36}, {6,42}, {21,48}, {13,33}, {23,46}, {14,25}, {20,34}, {11,37}, {11,28}, {2,47}, {10,27}, {10,34}, {16,33}, {8,35}, {10,45}, {2,40}, {9,45}, {14,41}, {22,46}, {17,37}, {16,39}, {13,28}, {1,28}, {23,25}, {3,27}, {9,27}, {2,38}, {12,32}, {15,36}, {10,43}, {21,36}, {8,28}, {7,43}, {24,42}, {20,40}, {1,27}, {5,44}, {5,25}, {15,26}, {22,36}, {1,46}, {9,42}, {23,41}, {24,33}, {13,46}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {23,26}, {17,43}, {21,26}, {22,28}, {1,37}, {8,25}, {18,42}, {4,48}, {2,32}, {6,33}, {18,48}, {11,26}, {9,48}, {11,38} }; // ETB48.143 // Bipartite(12,36) Valencies [18,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[48][143]:={ {2,44}, {8,48}, {3,33}, {1,20}, {10,25}, {11,20}, {9,28}, {2,33}, {6,16}, {4,27}, {2,46}, {12,29}, {11,35}, {5,34}, {4,24}, {12,45}, {10,37}, {11,25}, {7,48}, {2,23}, {1,13}, {5,38}, {12,22}, {12,32}, {7,38}, {4,29}, {8,33}, {3,43}, {3,25}, {7,41}, {1,40}, {4,19}, {4,31}, {2,19}, {12,41}, {2,27}, {3,35}, {5,47}, {8,39}, {11,41}, {7,36}, {10,44}, {2,41}, {2,28}, {12,34}, {5,32}, {8,15}, {8,27}, {12,37}, {10,15}, {2,42}, {10,22}, {11,28}, {10,30}, {3,17}, {3,34}, {5,40}, {10,48}, {11,33}, {1,38}, {1,17}, {2,36}, {5,22}, {10,38}, {1,18}, {7,20}, {10,47}, {9,32}, {9,26}, {12,36}, {5,29}, {4,41}, {12,46}, {9,19}, {12,44}, {8,14}, {7,39}, {5,25}, {7,32}, {1,31}, {4,45}, {9,14}, {7,43}, {10,28}, {11,31}, {11,44}, {3,44}, {6,43}, {5,23}, {2,13}, {2,48}, {10,40}, {12,43}, {1,29}, {7,30}, {8,17}, {2,16}, {4,35}, {9,25}, {7,16}, {8,36}, {6,33}, {7,26}, {11,23}, {5,30}, {7,17}, {6,46}, {5,24}, {4,48}, {5,46}, {8,13}, {1,45}, {8,22}, {8,35}, {9,20}, {4,15}, {4,13}, {1,28}, {3,27}, {4,43}, {10,45}, {3,29}, {6,23}, {8,37}, {8,26}, {5,42}, {12,26}, {9,22}, {12,33}, {6,15}, {10,43}, {7,47}, {9,13}, {8,21}, {1,42}, {6,27}, {11,24}, {11,39}, {8,40}, {12,19}, {1,39}, {12,14}, {3,21}, {6,19}, {1,46}, {7,29}, {6,41}, {6,14}, {9,30}, {5,39}, {3,16}, {6,42}, {11,26}, {4,40}, {10,35}, {7,23}, {3,30}, {8,34}, {9,18}, {3,24}, {11,37}, {6,45}, {1,26}, {2,22}, {1,16}, {10,36}, {11,32}, {9,17}, {10,18}, {8,24}, {2,47}, {6,25}, {1,47}, {6,38}, {2,40}, {11,47}, {3,42}, {4,18}, {3,38}, {11,48}, {3,28}, {7,27}, {8,46}, {5,45}, {3,31}, {9,24}, {1,14}, {10,20}, {5,15}, {6,37}, {12,31}, {10,14}, {11,34}, {5,19}, {6,20}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {2,18}, {9,31}, {1,34}, {4,17}, {6,35}, {9,21}, {9,16}, {3,36}, {11,42}, {4,39}, {4,44}, {9,23}, {7,21}, {4,32}, {12,18}, {12,21} }; // ETB48.144 // Bipartite(12,36) Valencies [18,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 179782377770827886100480000 EdgesBipt[48][144]:={ {5,17}, {1,20}, {10,25}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {2,46}, {7,15}, {11,35}, {4,26}, {3,40}, {10,37}, {4,30}, {8,30}, {7,48}, {6,17}, {8,43}, {1,13}, {9,45}, {12,22}, {8,42}, {1,32}, {3,43}, {3,15}, {12,38}, {7,44}, {1,40}, {10,26}, {9,44}, {4,19}, {12,39}, {4,31}, {10,33}, {12,42}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {12,35}, {7,36}, {2,41}, {12,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,31}, {8,27}, {2,42}, {10,22}, {6,22}, {11,28}, {10,30}, {6,29}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {2,34}, {1,17}, {9,48}, {4,22}, {8,19}, {9,29}, {10,38}, {7,20}, {9,32}, {1,44}, {5,29}, {2,38}, {8,47}, {12,46}, {2,37}, {8,14}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {11,15}, {10,41}, {7,43}, {11,31}, {11,44}, {3,44}, {6,30}, {4,47}, {10,29}, {3,20}, {2,13}, {10,21}, {6,18}, {12,43}, {1,29}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {6,33}, {11,23}, {6,46}, {5,24}, {9,37}, {12,47}, {8,22}, {1,45}, {5,48}, {8,35}, {10,42}, {9,20}, {4,15}, {1,28}, {3,27}, {10,46}, {4,43}, {1,33}, {10,13}, {10,45}, {4,46}, {5,28}, {8,26}, {12,26}, {7,31}, {5,41}, {2,17}, {7,47}, {9,13}, {12,27}, {9,40}, {3,19}, {1,24}, {12,23}, {11,24}, {5,44}, {11,39}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {5,36}, {1,25}, {6,41}, {12,15}, {6,14}, {1,37}, {7,28}, {3,16}, {6,42}, {7,23}, {11,16}, {2,21}, {8,34}, {5,33}, {10,17}, {3,24}, {2,29}, {11,27}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {6,38}, {11,40}, {9,33}, {9,36}, {6,34}, {11,47}, {8,18}, {4,18}, {11,19}, {11,48}, {5,13}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {1,48}, {7,24}, {3,31}, {9,24}, {6,37}, {12,31}, {3,47}, {10,14}, {7,35}, {11,43}, {5,21}, {2,30}, {6,13}, {2,18}, {5,37}, {7,19}, {9,21}, {9,16}, {3,36}, {4,39}, {7,40}, {12,18}, {1,36}, {5,16} }; // ETB48.145 // Bipartite(12,36) Valencies [18,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26634426336418946088960000 EdgesBipt[48][145]:={ {6,48}, {3,33}, {10,24}, {11,20}, {6,32}, {6,16}, {11,36}, {2,46}, {12,29}, {11,35}, {4,24}, {4,26}, {4,16}, {12,45}, {4,30}, {8,30}, {6,17}, {2,23}, {1,13}, {8,43}, {9,45}, {12,32}, {7,38}, {8,42}, {3,45}, {3,13}, {3,43}, {3,25}, {3,15}, {7,41}, {10,26}, {2,15}, {7,22}, {2,19}, {12,41}, {2,27}, {3,35}, {5,47}, {5,20}, {9,43}, {3,37}, {2,26}, {8,39}, {7,34}, {1,21}, {10,44}, {2,14}, {1,30}, {5,32}, {8,15}, {9,35}, {8,31}, {8,27}, {12,37}, {2,42}, {10,22}, {11,28}, {10,30}, {6,29}, {3,17}, {4,38}, {6,21}, {5,40}, {10,48}, {6,40}, {1,38}, {2,34}, {1,17}, {9,47}, {4,22}, {8,19}, {9,29}, {10,38}, {1,18}, {12,17}, {9,27}, {12,20}, {12,36}, {2,38}, {8,47}, {9,19}, {5,43}, {12,44}, {8,14}, {7,46}, {4,42}, {9,41}, {2,39}, {11,15}, {7,13}, {7,25}, {10,28}, {11,31}, {2,35}, {11,44}, {1,22}, {12,13}, {12,16}, {5,23}, {10,40}, {1,29}, {7,30}, {3,39}, {9,25}, {7,26}, {6,33}, {11,23}, {6,24}, {6,44}, {7,17}, {5,24}, {9,37}, {4,48}, {12,28}, {12,25}, {8,22}, {1,45}, {5,48}, {8,35}, {10,42}, {7,14}, {3,27}, {10,46}, {4,28}, {1,33}, {3,29}, {4,46}, {5,28}, {8,26}, {12,33}, {4,36}, {9,13}, {1,42}, {3,19}, {5,31}, {11,24}, {5,44}, {11,39}, {12,40}, {3,23}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {1,46}, {7,29}, {6,41}, {6,28}, {1,37}, {5,39}, {4,40}, {11,16}, {6,36}, {8,34}, {11,27}, {6,45}, {8,38}, {1,26}, {2,22}, {4,34}, {10,36}, {4,14}, {10,34}, {11,32}, {9,17}, {10,18}, {2,47}, {6,25}, {2,31}, {11,40}, {9,33}, {11,47}, {5,27}, {8,18}, {4,18}, {9,39}, {11,19}, {12,48}, {4,20}, {11,48}, {12,24}, {7,45}, {8,46}, {1,41}, {3,41}, {3,31}, {1,14}, {10,20}, {5,15}, {7,33}, {6,37}, {3,47}, {10,14}, {5,19}, {6,20}, {11,43}, {9,15}, {2,30}, {6,13}, {7,37}, {5,35}, {2,18}, {9,31}, {1,34}, {2,43}, {9,21}, {7,42}, {9,23}, {4,44}, {7,21}, {4,32}, {12,21}, {7,18}, {10,16}, {5,16} }; // ETB48.146 // Bipartite(12,36) Valencies [18,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4333224817852416000000 EdgesBipt[48][146]:={ {2,44}, {8,48}, {11,17}, {3,33}, {10,25}, {11,20}, {6,32}, {6,16}, {2,46}, {12,29}, {7,15}, {11,35}, {4,24}, {4,16}, {10,37}, {4,30}, {8,30}, {1,13}, {9,45}, {12,22}, {7,38}, {8,42}, {8,28}, {4,29}, {3,45}, {1,27}, {3,15}, {7,41}, {7,44}, {10,26}, {2,19}, {12,41}, {1,19}, {12,42}, {3,35}, {9,43}, {2,26}, {1,21}, {11,41}, {11,14}, {12,35}, {10,44}, {2,28}, {12,34}, {2,14}, {1,30}, {4,23}, {10,22}, {6,22}, {3,17}, {8,16}, {2,25}, {11,38}, {6,40}, {6,31}, {11,33}, {2,34}, {9,48}, {4,22}, {10,38}, {1,18}, {3,14}, {7,20}, {12,17}, {9,27}, {12,36}, {4,41}, {8,41}, {2,38}, {8,47}, {12,46}, {9,19}, {2,37}, {5,43}, {7,39}, {4,42}, {5,25}, {7,32}, {11,15}, {1,31}, {10,28}, {11,44}, {3,44}, {4,47}, {6,43}, {12,16}, {3,20}, {10,31}, {2,13}, {9,42}, {2,20}, {10,40}, {8,17}, {2,16}, {3,39}, {3,32}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {7,26}, {5,18}, {11,23}, {11,29}, {5,30}, {6,44}, {7,17}, {6,46}, {5,24}, {9,37}, {12,47}, {4,48}, {12,28}, {8,22}, {1,45}, {5,48}, {8,35}, {7,14}, {3,27}, {10,46}, {4,28}, {1,33}, {10,13}, {3,29}, {1,43}, {3,26}, {4,46}, {5,42}, {4,36}, {10,43}, {7,47}, {9,13}, {1,42}, {1,24}, {12,23}, {5,31}, {11,39}, {6,26}, {8,40}, {12,40}, {12,30}, {3,23}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {7,29}, {1,15}, {6,28}, {6,14}, {9,30}, {1,37}, {5,39}, {11,26}, {4,40}, {7,23}, {8,34}, {5,33}, {9,18}, {11,27}, {2,22}, {4,34}, {10,34}, {11,32}, {8,24}, {6,25}, {6,38}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {11,47}, {5,27}, {8,18}, {4,18}, {9,39}, {12,48}, {10,19}, {3,38}, {11,45}, {5,13}, {12,24}, {7,27}, {7,45}, {8,46}, {5,45}, {3,41}, {1,48}, {9,24}, {10,20}, {5,15}, {7,33}, {6,37}, {3,47}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {9,15}, {6,13}, {9,31}, {5,37}, {2,43}, {4,17}, {9,21}, {7,21}, {8,29}, {12,18}, {1,36}, {10,16} }; // ETB48.147 // Bipartite(12,36) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 313456656384 EdgesBipt[48][147]:={ {6,48}, {2,44}, {3,33}, {1,20}, {10,24}, {10,25}, {6,32}, {5,34}, {4,26}, {10,37}, {11,25}, {8,30}, {7,48}, {6,17}, {2,23}, {1,13}, {5,38}, {12,22}, {8,42}, {4,29}, {1,32}, {3,45}, {8,33}, {1,40}, {4,19}, {9,44}, {7,22}, {12,39}, {4,31}, {2,19}, {10,33}, {12,42}, {5,47}, {5,20}, {8,39}, {7,34}, {7,36}, {2,41}, {2,28}, {12,34}, {5,32}, {8,15}, {9,35}, {4,23}, {8,27}, {10,15}, {3,18}, {6,29}, {3,17}, {4,38}, {6,47}, {6,21}, {2,25}, {5,40}, {10,48}, {11,33}, {1,38}, {1,17}, {9,48}, {9,47}, {5,22}, {4,22}, {3,14}, {9,32}, {9,26}, {9,27}, {12,36}, {1,44}, {4,41}, {8,41}, {8,47}, {12,46}, {2,37}, {5,43}, {8,14}, {7,46}, {8,45}, {11,13}, {11,15}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {11,31}, {2,35}, {1,22}, {3,44}, {4,47}, {12,16}, {5,23}, {3,20}, {10,31}, {2,13}, {9,42}, {10,21}, {2,20}, {10,40}, {12,43}, {1,29}, {7,30}, {8,17}, {2,16}, {3,32}, {11,21}, {4,35}, {7,16}, {2,32}, {6,33}, {6,24}, {6,44}, {11,30}, {5,46}, {12,28}, {8,35}, {5,14}, {9,20}, {1,28}, {4,13}, {4,43}, {10,13}, {10,45}, {3,29}, {6,23}, {4,46}, {3,26}, {5,28}, {8,26}, {6,15}, {2,17}, {10,43}, {12,27}, {8,21}, {5,31}, {6,27}, {5,44}, {11,39}, {12,19}, {12,40}, {12,30}, {8,23}, {3,21}, {1,25}, {1,46}, {11,46}, {6,41}, {12,15}, {9,30}, {10,39}, {1,37}, {7,28}, {4,37}, {6,36}, {3,30}, {9,18}, {3,24}, {11,37}, {2,29}, {11,27}, {6,45}, {8,38}, {10,27}, {1,26}, {4,34}, {1,16}, {10,36}, {4,14}, {3,48}, {2,47}, {2,40}, {2,31}, {9,36}, {5,26}, {8,18}, {3,42}, {9,39}, {9,38}, {11,19}, {12,48}, {4,25}, {10,19}, {3,38}, {11,45}, {12,24}, {7,45}, {1,41}, {3,41}, {7,24}, {9,24}, {1,14}, {6,39}, {7,33}, {12,31}, {11,34}, {5,19}, {6,20}, {11,43}, {9,15}, {7,37}, {5,35}, {1,34}, {2,43}, {4,17}, {6,35}, {3,36}, {11,42}, {7,40}, {7,42}, {9,23}, {7,21}, {8,29}, {12,18}, {11,18}, {7,18}, {10,16}, {5,16} }; // ETB48.148 // Bipartite(12,36) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1253826625536 EdgesBipt[48][148]:={ {6,48}, {3,33}, {10,24}, {10,25}, {9,28}, {2,33}, {6,16}, {11,36}, {4,27}, {7,15}, {11,35}, {5,34}, {3,22}, {3,40}, {10,37}, {4,30}, {8,30}, {6,17}, {2,23}, {8,43}, {5,38}, {12,22}, {12,32}, {8,42}, {8,28}, {4,29}, {3,45}, {1,27}, {7,44}, {2,19}, {1,19}, {12,42}, {5,20}, {2,26}, {8,39}, {1,21}, {11,14}, {12,35}, {10,44}, {12,34}, {2,14}, {5,32}, {8,15}, {8,44}, {4,23}, {8,31}, {8,27}, {2,42}, {10,15}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {2,45}, {6,47}, {6,21}, {3,34}, {2,25}, {11,38}, {3,46}, {10,48}, {6,40}, {6,31}, {1,38}, {1,17}, {9,48}, {5,22}, {4,22}, {8,19}, {9,29}, {7,20}, {9,26}, {12,20}, {12,36}, {4,41}, {2,38}, {12,46}, {2,37}, {12,44}, {8,14}, {7,39}, {4,42}, {5,25}, {9,41}, {7,32}, {11,15}, {1,31}, {10,41}, {11,22}, {7,13}, {9,14}, {7,25}, {2,35}, {1,22}, {3,44}, {4,47}, {6,43}, {10,29}, {3,20}, {10,31}, {2,13}, {9,42}, {12,43}, {1,29}, {3,32}, {4,35}, {9,25}, {7,16}, {6,33}, {11,23}, {6,24}, {5,24}, {9,37}, {12,47}, {5,46}, {1,45}, {5,48}, {5,14}, {4,15}, {4,13}, {1,33}, {10,13}, {3,29}, {6,23}, {1,43}, {4,46}, {8,26}, {10,43}, {7,47}, {9,13}, {9,40}, {8,32}, {12,23}, {11,24}, {5,44}, {11,39}, {8,40}, {12,19}, {12,30}, {1,39}, {10,32}, {5,36}, {3,21}, {6,19}, {1,46}, {11,46}, {6,41}, {1,15}, {6,28}, {9,30}, {10,39}, {7,28}, {3,16}, {4,37}, {11,26}, {7,23}, {11,16}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {10,17}, {11,27}, {6,45}, {8,38}, {10,27}, {1,26}, {4,34}, {10,36}, {9,17}, {2,47}, {2,31}, {11,40}, {9,36}, {11,47}, {5,26}, {8,18}, {3,42}, {4,18}, {9,38}, {12,48}, {4,25}, {10,19}, {11,48}, {5,13}, {8,20}, {3,28}, {12,24}, {7,27}, {7,45}, {1,41}, {5,45}, {3,41}, {1,14}, {9,24}, {10,20}, {7,33}, {12,31}, {11,34}, {7,35}, {5,21}, {2,30}, {7,37}, {2,18}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {9,16}, {4,39}, {7,40}, {7,21}, {12,18} }; // ETB48.149 // Bipartite(12,36) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1253826625536 EdgesBipt[48][149]:={ {6,48}, {8,48}, {2,44}, {3,33}, {5,17}, {1,20}, {10,24}, {10,25}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {12,29}, {11,35}, {3,40}, {12,45}, {10,37}, {4,30}, {11,25}, {8,43}, {9,45}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,25}, {12,38}, {7,44}, {1,40}, {10,26}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {12,41}, {2,27}, {12,42}, {5,47}, {3,37}, {2,26}, {7,34}, {11,14}, {2,14}, {1,30}, {9,35}, {8,31}, {10,15}, {10,22}, {11,28}, {3,17}, {2,45}, {6,47}, {2,25}, {11,38}, {10,48}, {6,40}, {6,31}, {1,38}, {9,47}, {4,22}, {8,19}, {9,29}, {10,38}, {1,18}, {7,20}, {12,17}, {9,27}, {1,44}, {4,41}, {5,29}, {2,38}, {8,47}, {2,37}, {5,43}, {8,14}, {7,46}, {8,45}, {4,42}, {5,25}, {9,41}, {2,39}, {7,32}, {11,13}, {11,15}, {10,41}, {7,13}, {7,25}, {1,22}, {3,44}, {6,43}, {12,16}, {5,23}, {10,29}, {3,20}, {9,34}, {2,13}, {2,20}, {12,43}, {7,30}, {3,32}, {8,36}, {2,32}, {5,18}, {11,23}, {6,24}, {5,30}, {6,44}, {11,30}, {5,24}, {12,28}, {8,22}, {5,48}, {8,35}, {4,15}, {1,28}, {10,46}, {4,43}, {10,13}, {3,29}, {6,23}, {4,46}, {8,26}, {5,42}, {12,26}, {9,22}, {12,33}, {6,15}, {5,41}, {7,47}, {9,40}, {8,21}, {1,42}, {1,24}, {5,31}, {6,27}, {11,39}, {12,19}, {12,40}, {12,30}, {8,23}, {12,14}, {5,36}, {3,21}, {6,19}, {1,46}, {6,28}, {10,39}, {3,16}, {11,26}, {7,23}, {11,16}, {6,36}, {2,21}, {8,34}, {10,17}, {3,24}, {11,37}, {11,27}, {8,38}, {10,27}, {1,26}, {4,34}, {1,16}, {10,36}, {3,48}, {10,34}, {9,17}, {8,24}, {2,31}, {11,40}, {9,33}, {11,47}, {4,18}, {9,39}, {4,20}, {5,13}, {3,28}, {7,45}, {8,46}, {3,41}, {1,48}, {1,14}, {9,46}, {6,39}, {7,33}, {12,31}, {10,14}, {5,19}, {6,20}, {7,35}, {9,15}, {7,37}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {9,21}, {9,16}, {3,36}, {11,42}, {4,39}, {7,42}, {9,23}, {4,44}, {7,21}, {4,32}, {12,18}, {11,18}, {1,36}, {12,21}, {7,18} }; // ETB48.150 // Bipartite(16,32) Valencies [18,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[48][150]:={ {15,33}, {6,38}, {16,47}, {15,38}, {9,32}, {6,25}, {9,17}, {10,18}, {11,25}, {5,43}, {5,45}, {12,22}, {3,26}, {8,26}, {14,38}, {11,43}, {2,35}, {4,31}, {8,40}, {10,33}, {14,31}, {1,19}, {8,23}, {1,21}, {14,45}, {3,21}, {16,37}, {16,28}, {1,35}, {8,31}, {4,40}, {13,43}, {13,27}, {14,29}, {10,48}, {16,21}, {2,33}, {4,38}, {11,35}, {11,17}, {10,42}, {11,27}, {10,17}, {12,28}, {2,25}, {4,24}, {16,48}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {8,46}, {12,20}, {5,41}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {11,39}, {10,26}, {2,17}, {7,33}, {12,40}, {10,20}, {13,47}, {2,48}, {15,30}, {12,23}, {13,20}, {16,25}, {13,42}, {9,35}, {6,18}, {1,29}, {15,45}, {16,43}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {13,19}, {2,36}, {16,40}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {5,27}, {6,17}, {14,46}, {4,18}, {12,24}, {1,31}, {12,27}, {11,22}, {1,39}, {7,37}, {11,42}, {5,35}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {13,18}, {11,21}, {6,36}, {16,29}, {3,30}, {13,48}, {1,47}, {11,23}, {3,24}, {10,36}, {15,37}, {14,23}, {15,34}, {10,46}, {11,33}, {14,39}, {8,47}, {8,24}, {14,21}, {3,29}, {13,36}, {9,19}, {4,47}, {3,44}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {1,22}, {5,19}, {9,31}, {10,44}, {10,29}, {2,20}, {13,31}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {15,46}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,24}, {15,40}, {3,42}, {14,43}, {3,22}, {14,37}, {16,31}, {16,45}, {15,17}, {7,39}, {3,41}, {4,36}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {16,44}, {7,40}, {2,41}, {12,43}, {9,21}, {14,47}, {2,28}, {9,23}, {7,21}, {13,44}, {8,27}, {2,45}, {5,46}, {3,48}, {13,32}, {14,26}, {1,45}, {15,29}, {4,46}, {8,43}, {2,31}, {1,33}, {12,36}, {16,27}, {3,45}, {12,44}, {5,26}, {5,29}, {10,41}, {14,30}, {3,28}, {11,19}, {12,39}, {5,47}, {15,48}, {13,34}, {11,41}, {7,25}, {6,26}, {1,34}, {13,35}, {6,41}, {12,34}, {8,44}, {6,28}, {16,23}, {6,42}, {4,35}, {15,21}, {14,25}, {11,37}, {2,47}, {5,18}, {1,23}, {14,42}, {15,18}, {10,34}, {5,17}, {3,40}, {7,17}, {10,45}, {6,21}, {15,22}, {9,45}, {14,41}, {15,20}, {16,39}, {13,28}, {16,24}, {7,20}, {5,42}, {15,36}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {5,25}, {1,46}, {4,19}, {14,22}, {8,39}, {3,37}, {10,32}, {13,46}, {4,39}, {12,35}, {7,36}, {12,19}, {1,37}, {16,32}, {4,48}, {2,32}, {6,33}, {11,26}, {3,46}, {9,48}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.151 // Bipartite(21,27) Valencies [18,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36705568794877360078848000000 EdgesBipt[48][151]:={ {15,33}, {18,45}, {19,28}, {10,37}, {16,47}, {14,36}, {6,25}, {5,38}, {19,26}, {4,28}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {17,42}, {2,35}, {17,33}, {4,31}, {21,30}, {15,27}, {8,23}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {16,28}, {21,28}, {5,32}, {1,35}, {4,37}, {4,40}, {21,22}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {11,35}, {11,29}, {11,27}, {10,47}, {19,40}, {20,38}, {20,26}, {12,28}, {19,31}, {12,48}, {4,43}, {21,40}, {8,30}, {12,46}, {9,33}, {20,24}, {5,41}, {17,39}, {7,41}, {19,22}, {12,42}, {6,39}, {11,39}, {10,26}, {12,31}, {12,40}, {20,29}, {17,26}, {13,47}, {2,48}, {15,30}, {20,39}, {16,25}, {20,35}, {1,29}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {17,47}, {6,24}, {17,36}, {2,29}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {18,33}, {18,36}, {5,27}, {19,46}, {3,43}, {15,28}, {20,41}, {2,39}, {9,46}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {19,47}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {19,23}, {17,29}, {8,48}, {4,32}, {2,44}, {21,45}, {6,36}, {16,29}, {11,36}, {3,30}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {14,23}, {10,38}, {10,46}, {15,34}, {11,33}, {18,22}, {13,25}, {21,25}, {14,39}, {21,31}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {21,37}, {7,46}, {8,45}, {1,41}, {2,23}, {9,22}, {11,44}, {4,47}, {3,25}, {21,42}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {20,47}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {18,31}, {19,44}, {16,31}, {15,39}, {4,29}, {1,32}, {21,39}, {19,29}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {20,48}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {10,40}, {7,29}, {14,47}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {21,46}, {3,48}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {19,43}, {16,46}, {18,28}, {5,24}, {11,47}, {4,46}, {18,24}, {16,38}, {11,45}, {18,27}, {21,33}, {12,36}, {3,45}, {5,26}, {19,25}, {7,47}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {20,27}, {20,33}, {15,48}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {21,43}, {21,27}, {17,24}, {20,23}, {12,34}, {8,44}, {6,28}, {6,42}, {16,23}, {4,35}, {21,48}, {19,32}, {18,43}, {7,26}, {20,45}, {2,47}, {1,23}, {16,35}, {14,42}, {10,34}, {3,40}, {13,23}, {8,35}, {17,27}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {21,36}, {15,31}, {7,44}, {7,43}, {18,40}, {9,40}, {5,44}, {17,23}, {10,23}, {9,43}, {1,46}, {3,37}, {8,39}, {9,42}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {17,32}, {21,24}, {14,48}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.152 // Bipartite(24,24) Valencies [18,18] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 3466579854281932800000000 EdgesBipt[48][152]:={ {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {9,32}, {6,25}, {5,38}, {19,26}, {4,28}, {5,45}, {3,26}, {13,37}, {1,40}, {14,38}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {21,30}, {14,31}, {15,27}, {24,32}, {21,41}, {24,36}, {10,39}, {14,45}, {3,39}, {16,37}, {20,37}, {16,28}, {21,28}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {24,48}, {14,29}, {23,44}, {24,28}, {13,40}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {10,47}, {19,40}, {2,34}, {12,28}, {19,31}, {22,37}, {2,25}, {12,48}, {4,43}, {21,40}, {16,48}, {15,32}, {23,38}, {9,33}, {20,43}, {8,37}, {5,41}, {21,38}, {23,31}, {13,30}, {7,27}, {6,39}, {23,36}, {11,39}, {10,26}, {22,42}, {12,31}, {12,40}, {19,48}, {20,29}, {23,28}, {17,26}, {15,30}, {20,39}, {22,25}, {5,37}, {24,47}, {18,35}, {16,25}, {24,31}, {24,45}, {13,42}, {20,35}, {23,43}, {1,36}, {1,29}, {19,42}, {23,42}, {12,37}, {6,46}, {10,35}, {16,43}, {18,39}, {13,26}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {13,41}, {20,36}, {16,40}, {22,34}, {24,37}, {18,29}, {9,36}, {6,34}, {9,29}, {18,26}, {18,33}, {22,43}, {3,38}, {19,46}, {3,43}, {15,28}, {5,28}, {24,41}, {14,46}, {20,41}, {2,39}, {9,46}, {24,40}, {14,35}, {3,47}, {1,42}, {7,32}, {19,38}, {3,31}, {12,27}, {19,47}, {6,27}, {2,30}, {11,42}, {14,34}, {3,36}, {17,29}, {8,48}, {20,25}, {4,32}, {1,30}, {21,45}, {19,27}, {12,47}, {23,39}, {23,40}, {16,29}, {11,36}, {3,30}, {13,48}, {22,26}, {14,33}, {10,38}, {15,34}, {10,46}, {13,25}, {21,25}, {14,39}, {11,48}, {19,30}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {18,38}, {21,37}, {7,46}, {8,45}, {13,36}, {1,41}, {4,45}, {22,29}, {12,41}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {24,39}, {23,48}, {11,34}, {17,28}, {21,42}, {7,35}, {11,46}, {2,43}, {22,30}, {2,27}, {6,30}, {4,33}, {7,34}, {10,31}, {10,29}, {18,25}, {24,25}, {17,46}, {1,25}, {22,31}, {23,35}, {9,30}, {3,32}, {14,27}, {22,45}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {13,29}, {9,25}, {15,46}, {17,30}, {10,30}, {5,40}, {20,47}, {23,47}, {12,45}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {21,32}, {12,25}, {15,40}, {3,42}, {14,43}, {14,37}, {1,44}, {13,38}, {23,27}, {24,35}, {18,31}, {19,44}, {1,48}, {24,43}, {9,41}, {16,31}, {16,45}, {7,39}, {23,34}, {4,36}, {15,39}, {22,41}, {4,29}, {9,44}, {1,32}, {24,29}, {6,43}, {6,37}, {8,32}, {22,39}, {24,27}, {17,25}, {20,48}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {18,41}, {14,47}, {18,30}, {8,29}, {22,38}, {8,36}, {13,44}, {8,27}, {2,45}, {21,46}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {23,32}, {11,30}, {19,39}, {9,28}, {3,34}, {4,27}, {19,43}, {11,47}, {8,43}, {2,31}, {1,33}, {18,27}, {20,28}, {21,33}, {12,36}, {16,27}, {12,44}, {5,26}, {7,47}, {2,37}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {15,47}, {22,33}, {11,31}, {20,33}, {21,44}, {15,48}, {19,35}, {13,34}, {6,26}, {15,42}, {1,34}, {22,27}, {7,42}, {6,41}, {21,29}, {17,40}, {24,44}, {8,44}, {19,36}, {23,30}, {6,42}, {4,35}, {21,48}, {19,32}, {13,33}, {18,43}, {23,46}, {14,25}, {7,26}, {20,45}, {11,28}, {2,47}, {16,35}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {10,45}, {17,45}, {9,45}, {14,41}, {22,46}, {16,39}, {17,37}, {13,28}, {1,28}, {3,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {22,35}, {10,43}, {21,36}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {20,40}, {5,44}, {5,25}, {15,26}, {22,47}, {1,46}, {8,39}, {9,42}, {5,36}, {9,34}, {24,33}, {15,43}, {13,46}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {23,26}, {21,26}, {1,37}, {8,25}, {2,42}, {18,42}, {4,48}, {16,32}, {6,33}, {18,34}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB48.153 // Bipartite(8,40) Valencies [20,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 22195355280349121740800000000 EdgesBipt[48][153]:={ {5,17}, {1,20}, {2,33}, {4,27}, {2,46}, {7,15}, {4,26}, {3,40}, {4,30}, {8,30}, {7,48}, {6,17}, {1,13}, {8,43}, {8,42}, {1,32}, {3,43}, {3,15}, {7,44}, {1,40}, {4,19}, {4,31}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {2,9}, {7,36}, {8,10}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,31}, {8,27}, {2,42}, {6,22}, {6,29}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {7,12}, {4,10}, {2,34}, {1,17}, {4,22}, {8,19}, {7,11}, {7,20}, {1,44}, {5,29}, {2,10}, {2,38}, {8,47}, {2,37}, {8,14}, {7,39}, {4,42}, {5,25}, {7,32}, {3,12}, {7,43}, {3,44}, {6,30}, {4,47}, {3,20}, {2,13}, {6,18}, {1,29}, {3,39}, {3,32}, {4,35}, {7,16}, {6,33}, {1,12}, {6,46}, {8,11}, {5,24}, {8,22}, {1,45}, {1,9}, {5,48}, {8,35}, {4,15}, {1,28}, {3,11}, {3,27}, {4,43}, {1,33}, {4,46}, {5,28}, {8,26}, {7,31}, {5,41}, {2,17}, {7,47}, {5,12}, {3,19}, {1,24}, {5,44}, {6,26}, {3,23}, {8,23}, {5,36}, {1,25}, {6,9}, {6,41}, {6,14}, {1,37}, {7,28}, {3,16}, {6,42}, {7,23}, {2,21}, {8,34}, {5,33}, {3,24}, {2,29}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {6,25}, {6,38}, {6,34}, {6,10}, {8,18}, {4,18}, {5,9}, {4,11}, {5,13}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {1,48}, {7,24}, {3,31}, {6,37}, {3,47}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {5,37}, {7,19}, {3,36}, {4,39}, {7,40}, {1,36}, {5,16} }; // ETB48.154 // Bipartite(8,40) Valencies [20,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8255648563200000000 EdgesBipt[48][154]:={ {2,24}, {1,20}, {2,33}, {4,27}, {2,46}, {7,15}, {5,34}, {4,24}, {3,22}, {4,16}, {8,30}, {7,48}, {6,17}, {8,9}, {7,38}, {8,42}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,43}, {1,40}, {4,19}, {7,22}, {3,35}, {5,47}, {5,20}, {3,37}, {8,39}, {2,9}, {8,10}, {8,25}, {2,41}, {2,14}, {8,15}, {8,31}, {3,18}, {6,29}, {2,45}, {6,21}, {3,34}, {2,25}, {3,46}, {1,17}, {7,11}, {3,14}, {5,11}, {1,44}, {8,41}, {2,38}, {8,47}, {2,37}, {5,43}, {8,14}, {7,46}, {7,39}, {7,32}, {1,31}, {4,45}, {7,43}, {6,12}, {5,23}, {4,21}, {2,13}, {6,18}, {2,48}, {7,30}, {8,17}, {2,16}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,44}, {4,48}, {8,22}, {1,9}, {1,28}, {4,13}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {3,26}, {5,28}, {8,26}, {5,42}, {7,31}, {2,17}, {4,36}, {7,47}, {5,12}, {3,19}, {1,24}, {5,31}, {5,44}, {6,26}, {8,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,9}, {6,41}, {1,15}, {6,28}, {5,39}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {8,34}, {2,29}, {6,45}, {8,38}, {2,22}, {1,16}, {6,25}, {1,47}, {2,40}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {8,18}, {3,42}, {3,38}, {4,11}, {4,12}, {4,20}, {7,27}, {8,46}, {1,41}, {1,48}, {7,24}, {5,15}, {6,37}, {5,19}, {6,20}, {7,35}, {2,30}, {6,13}, {5,35}, {7,19}, {7,40}, {4,44}, {4,32}, {1,36} }; // ETB48.155 // Bipartite(16,32) Valencies [20,10] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[48][155]:={ {13,21}, {15,33}, {6,38}, {15,38}, {5,38}, {9,17}, {10,18}, {11,25}, {4,28}, {5,43}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {16,22}, {13,39}, {2,35}, {8,40}, {10,33}, {3,19}, {14,31}, {1,19}, {8,23}, {10,39}, {3,20}, {1,21}, {14,45}, {6,48}, {3,39}, {16,28}, {4,37}, {2,46}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,29}, {11,17}, {10,42}, {11,27}, {1,20}, {10,17}, {2,25}, {12,48}, {16,48}, {4,30}, {8,30}, {9,33}, {7,45}, {8,46}, {8,37}, {5,41}, {7,41}, {13,30}, {12,42}, {6,39}, {11,39}, {12,31}, {12,40}, {13,47}, {13,24}, {1,24}, {2,48}, {15,30}, {12,23}, {5,37}, {16,25}, {9,35}, {1,36}, {1,29}, {15,19}, {16,34}, {6,46}, {15,45}, {6,44}, {13,26}, {9,47}, {6,24}, {2,29}, {1,38}, {14,32}, {3,17}, {2,36}, {9,36}, {6,34}, {9,29}, {9,39}, {8,19}, {1,18}, {5,27}, {3,43}, {6,17}, {5,28}, {14,46}, {8,18}, {9,46}, {4,18}, {3,47}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {8,48}, {13,17}, {2,44}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {12,47}, {8,17}, {16,29}, {13,48}, {16,17}, {11,23}, {10,36}, {14,33}, {10,38}, {14,23}, {10,46}, {15,34}, {13,25}, {11,48}, {4,41}, {9,38}, {8,41}, {14,21}, {8,45}, {3,29}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {12,41}, {9,22}, {3,44}, {4,47}, {7,35}, {11,46}, {2,43}, {4,33}, {1,22}, {11,24}, {10,31}, {5,19}, {10,44}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {13,29}, {8,34}, {9,25}, {15,46}, {10,30}, {5,40}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {15,24}, {12,25}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {1,48}, {14,40}, {6,23}, {16,31}, {15,17}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {5,31}, {2,19}, {4,44}, {7,40}, {12,43}, {5,20}, {2,26}, {10,21}, {14,47}, {2,28}, {9,23}, {8,27}, {5,46}, {3,48}, {3,33}, {16,36}, {13,32}, {1,45}, {11,30}, {3,34}, {2,21}, {4,27}, {16,46}, {5,24}, {2,22}, {11,47}, {16,20}, {8,43}, {16,38}, {11,45}, {1,33}, {12,36}, {3,45}, {16,27}, {12,44}, {5,26}, {7,47}, {4,42}, {5,29}, {4,25}, {7,31}, {12,39}, {15,47}, {11,31}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {15,42}, {14,18}, {7,42}, {6,41}, {12,34}, {6,28}, {6,42}, {4,35}, {14,20}, {15,21}, {7,26}, {7,18}, {11,28}, {2,47}, {1,23}, {16,35}, {11,20}, {10,27}, {15,18}, {16,33}, {7,17}, {10,45}, {8,35}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {15,20}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {10,43}, {15,31}, {7,44}, {9,40}, {8,20}, {5,44}, {10,23}, {15,26}, {4,19}, {8,39}, {3,37}, {5,36}, {16,19}, {9,34}, {10,32}, {15,43}, {12,35}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {4,48}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {5,30}, {9,37} }; // ETB48.156 // Bipartite(16,32) Valencies [20,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 754974720 EdgesBipt[48][156]:={ {13,21}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {11,25}, {5,43}, {5,45}, {12,22}, {3,26}, {13,37}, {14,38}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {1,19}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {16,37}, {16,28}, {1,35}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {16,21}, {14,44}, {2,33}, {4,38}, {11,17}, {10,42}, {6,29}, {11,27}, {2,34}, {10,17}, {9,18}, {2,25}, {4,24}, {16,48}, {15,32}, {4,30}, {12,46}, {9,33}, {1,17}, {8,37}, {12,20}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {10,26}, {2,17}, {12,40}, {13,47}, {2,48}, {13,20}, {9,35}, {6,18}, {15,19}, {16,34}, {15,45}, {16,43}, {6,44}, {4,23}, {8,38}, {9,47}, {1,38}, {13,19}, {1,26}, {14,32}, {3,17}, {13,41}, {2,36}, {16,40}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {1,18}, {5,27}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {12,24}, {3,31}, {12,27}, {11,22}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {8,48}, {7,19}, {2,44}, {1,30}, {16,18}, {14,28}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {13,48}, {2,24}, {15,37}, {14,23}, {10,46}, {11,33}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {8,41}, {9,26}, {8,45}, {3,29}, {13,36}, {2,23}, {15,23}, {12,41}, {9,19}, {4,47}, {3,44}, {11,44}, {3,25}, {7,35}, {12,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,29}, {13,22}, {2,20}, {4,17}, {13,31}, {5,39}, {7,28}, {6,45}, {12,18}, {8,34}, {10,30}, {5,40}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {11,32}, {15,24}, {12,25}, {3,42}, {15,40}, {1,44}, {13,38}, {1,48}, {6,23}, {16,31}, {16,45}, {7,39}, {3,41}, {4,36}, {15,39}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {16,44}, {7,40}, {2,41}, {5,23}, {12,43}, {10,40}, {10,21}, {14,47}, {2,28}, {8,29}, {9,23}, {7,21}, {5,46}, {3,33}, {16,36}, {13,32}, {14,26}, {16,46}, {5,24}, {11,47}, {15,29}, {16,20}, {4,46}, {1,33}, {12,36}, {3,45}, {16,27}, {7,47}, {4,42}, {5,29}, {10,41}, {14,30}, {3,28}, {7,31}, {8,33}, {5,47}, {11,31}, {15,48}, {11,41}, {7,25}, {1,34}, {15,42}, {13,35}, {14,18}, {7,42}, {6,41}, {12,34}, {6,28}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {10,24}, {11,20}, {14,42}, {10,27}, {5,17}, {13,23}, {10,45}, {8,35}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {15,20}, {1,28}, {16,24}, {9,27}, {15,36}, {10,43}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {10,23}, {15,26}, {9,43}, {1,46}, {3,37}, {14,22}, {9,42}, {9,34}, {10,32}, {13,46}, {4,39}, {12,35}, {12,19}, {14,48}, {1,37}, {8,25}, {16,32}, {6,33}, {2,32}, {11,26}, {3,46}, {9,48}, {5,33}, {5,30}, {11,38} }; // ETB48.157 // Bipartite(18,30) Valencies [20,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[48][157]:={ {13,21}, {15,33}, {7,48}, {6,38}, {11,40}, {16,47}, {15,38}, {14,36}, {6,25}, {5,38}, {5,22}, {11,25}, {5,43}, {3,26}, {8,26}, {13,37}, {1,40}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {10,33}, {15,27}, {1,19}, {10,39}, {3,21}, {14,45}, {3,39}, {16,28}, {5,32}, {1,35}, {15,41}, {8,31}, {4,37}, {2,46}, {13,40}, {14,44}, {6,32}, {17,35}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {2,25}, {12,48}, {4,24}, {16,42}, {16,48}, {15,32}, {4,30}, {8,30}, {7,45}, {8,46}, {12,20}, {17,39}, {7,41}, {12,26}, {7,27}, {6,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {13,47}, {1,24}, {2,48}, {15,30}, {5,37}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,36}, {15,19}, {1,29}, {12,37}, {16,34}, {6,46}, {10,35}, {16,43}, {6,44}, {18,39}, {4,23}, {8,38}, {13,26}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {16,40}, {18,29}, {9,36}, {1,43}, {8,42}, {9,20}, {18,26}, {18,33}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {14,46}, {2,39}, {3,47}, {7,32}, {1,31}, {3,31}, {12,27}, {11,22}, {7,37}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {8,48}, {18,19}, {7,19}, {1,30}, {11,21}, {12,47}, {6,36}, {13,48}, {1,47}, {11,23}, {3,24}, {10,36}, {14,33}, {14,23}, {10,38}, {10,46}, {15,34}, {18,22}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {9,26}, {18,20}, {18,38}, {7,46}, {17,31}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {15,23}, {12,41}, {9,22}, {11,44}, {13,45}, {3,44}, {11,46}, {2,27}, {12,30}, {6,30}, {4,33}, {7,34}, {11,24}, {5,19}, {9,31}, {10,44}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {3,32}, {14,27}, {18,44}, {16,41}, {6,45}, {17,44}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {15,35}, {17,38}, {12,29}, {15,24}, {12,25}, {16,26}, {14,43}, {3,42}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {6,23}, {16,31}, {16,45}, {7,39}, {3,41}, {4,29}, {9,44}, {6,43}, {8,32}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {17,41}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {7,29}, {14,47}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {2,45}, {6,47}, {3,48}, {3,33}, {16,36}, {13,32}, {14,26}, {9,28}, {3,34}, {2,21}, {4,27}, {16,46}, {18,28}, {5,24}, {15,29}, {11,47}, {2,22}, {4,46}, {18,24}, {14,19}, {11,45}, {1,33}, {18,27}, {12,36}, {3,45}, {16,27}, {5,26}, {7,47}, {4,42}, {4,25}, {14,30}, {12,33}, {8,33}, {12,39}, {5,47}, {17,34}, {11,31}, {15,48}, {14,24}, {11,41}, {7,22}, {15,42}, {13,35}, {5,21}, {6,41}, {17,40}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {18,23}, {4,35}, {14,20}, {14,25}, {15,21}, {11,37}, {11,28}, {1,23}, {10,24}, {10,34}, {8,35}, {2,40}, {17,45}, {9,45}, {14,41}, {4,26}, {17,37}, {13,28}, {1,28}, {16,24}, {7,20}, {9,27}, {7,38}, {12,32}, {10,43}, {15,31}, {8,28}, {7,43}, {9,40}, {1,27}, {17,23}, {10,23}, {9,43}, {3,37}, {14,22}, {8,39}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {15,43}, {4,39}, {12,35}, {17,32}, {12,19}, {17,43}, {1,37}, {8,25}, {2,42}, {4,48}, {16,32}, {2,32}, {18,48}, {3,46}, {5,48}, {5,33}, {18,37}, {11,38}, {9,37}, {6,40} }; // ETB48.158 // Bipartite(18,30) Valencies [20,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 107013320101683265536000000000 EdgesBipt[48][158]:={ {15,33}, {18,45}, {10,37}, {16,47}, {14,36}, {6,25}, {5,38}, {4,28}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {17,42}, {2,35}, {17,33}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {3,21}, {14,45}, {6,48}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {11,35}, {11,29}, {11,27}, {1,20}, {10,47}, {12,28}, {12,48}, {4,43}, {8,30}, {12,46}, {9,33}, {5,41}, {17,39}, {7,41}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {13,47}, {2,48}, {15,30}, {13,20}, {16,25}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {17,47}, {6,24}, {17,36}, {2,29}, {1,38}, {18,46}, {13,19}, {1,26}, {14,32}, {2,36}, {13,41}, {16,40}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {18,33}, {18,36}, {5,27}, {3,43}, {15,28}, {2,39}, {9,46}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {17,29}, {8,48}, {18,19}, {7,19}, {4,32}, {2,44}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {14,21}, {7,46}, {8,45}, {1,41}, {2,23}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {18,31}, {16,31}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {18,21}, {9,21}, {7,29}, {14,47}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,48}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {16,46}, {18,28}, {5,24}, {11,47}, {16,20}, {4,46}, {18,24}, {16,38}, {11,45}, {18,27}, {12,36}, {3,45}, {5,26}, {7,47}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {15,48}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {17,24}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {18,43}, {14,20}, {15,21}, {7,26}, {2,47}, {1,23}, {16,35}, {11,20}, {14,42}, {10,34}, {3,40}, {13,23}, {8,35}, {17,27}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {5,44}, {17,23}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {17,32}, {12,19}, {14,48}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.159 // Bipartite(18,30) Valencies [20,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 110075314176000000 EdgesBipt[48][159]:={ {13,21}, {15,33}, {18,45}, {7,48}, {11,40}, {10,37}, {16,47}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {5,45}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {2,35}, {17,33}, {4,31}, {3,35}, {8,21}, {3,19}, {15,27}, {1,19}, {3,23}, {3,20}, {14,45}, {6,48}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {14,44}, {4,38}, {11,35}, {11,29}, {1,20}, {10,47}, {2,34}, {2,25}, {12,48}, {4,43}, {16,42}, {16,48}, {18,32}, {8,30}, {9,33}, {7,45}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {7,27}, {12,42}, {6,39}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {2,48}, {15,30}, {12,23}, {13,20}, {18,35}, {9,35}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {18,39}, {8,38}, {13,26}, {9,47}, {6,24}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {16,40}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {14,35}, {12,24}, {1,31}, {3,31}, {11,22}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {8,48}, {4,32}, {14,28}, {12,47}, {6,36}, {16,29}, {11,36}, {3,30}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {13,25}, {14,39}, {11,48}, {8,24}, {9,38}, {9,26}, {14,21}, {18,20}, {18,38}, {7,46}, {8,45}, {3,29}, {17,31}, {1,41}, {2,23}, {4,45}, {10,19}, {12,41}, {3,44}, {13,45}, {3,25}, {11,34}, {7,35}, {11,46}, {2,43}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {17,44}, {15,46}, {17,30}, {10,22}, {5,40}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {15,24}, {12,25}, {3,42}, {15,40}, {1,44}, {13,38}, {14,40}, {9,41}, {16,45}, {7,39}, {3,41}, {15,39}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {17,25}, {2,19}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {18,41}, {10,40}, {18,21}, {9,21}, {7,29}, {14,47}, {18,30}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {5,46}, {3,48}, {16,36}, {13,32}, {14,26}, {11,30}, {4,27}, {16,46}, {2,22}, {11,47}, {4,46}, {18,24}, {8,43}, {2,31}, {18,27}, {12,36}, {16,27}, {12,44}, {5,26}, {7,47}, {2,37}, {5,29}, {10,41}, {4,25}, {11,19}, {8,33}, {5,47}, {11,31}, {15,48}, {13,34}, {11,41}, {7,22}, {1,34}, {15,42}, {5,21}, {7,42}, {17,24}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {18,23}, {13,33}, {14,20}, {15,21}, {11,37}, {11,28}, {2,47}, {1,23}, {16,35}, {10,34}, {16,33}, {17,27}, {2,40}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {9,27}, {12,32}, {15,36}, {10,43}, {15,31}, {4,20}, {8,20}, {5,44}, {10,23}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {12,19}, {17,43}, {1,37}, {8,25}, {2,42}, {18,42}, {6,33}, {18,48}, {9,48}, {17,48}, {5,33}, {15,25}, {6,40} }; // ETB48.160 // Bipartite(18,30) Valencies [20,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1100753141760 EdgesBipt[48][160]:={ {15,33}, {18,45}, {7,48}, {16,47}, {15,38}, {14,36}, {5,38}, {4,28}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {17,42}, {15,44}, {2,35}, {17,33}, {4,31}, {8,40}, {8,21}, {3,19}, {1,19}, {3,23}, {8,23}, {10,39}, {3,21}, {14,45}, {6,48}, {3,39}, {16,28}, {5,32}, {1,35}, {7,30}, {4,40}, {13,27}, {14,29}, {16,21}, {13,40}, {14,44}, {6,32}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {10,47}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {16,42}, {18,32}, {8,30}, {9,33}, {7,45}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {10,20}, {17,26}, {13,20}, {18,35}, {16,25}, {13,42}, {15,19}, {12,37}, {16,34}, {10,35}, {16,43}, {6,44}, {18,39}, {8,38}, {13,26}, {17,47}, {6,24}, {17,36}, {2,29}, {18,47}, {1,38}, {13,19}, {1,26}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {18,33}, {3,38}, {5,27}, {3,43}, {15,28}, {9,46}, {14,35}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {3,36}, {4,21}, {17,29}, {18,19}, {7,19}, {4,32}, {2,44}, {1,30}, {14,28}, {11,21}, {12,47}, {11,36}, {13,48}, {11,23}, {3,24}, {10,36}, {15,37}, {14,23}, {10,46}, {15,34}, {11,33}, {18,22}, {13,25}, {11,48}, {8,47}, {4,41}, {9,38}, {8,41}, {14,21}, {18,20}, {7,46}, {8,45}, {3,29}, {17,31}, {1,41}, {2,23}, {10,19}, {15,23}, {9,22}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {7,35}, {11,46}, {2,43}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {17,46}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {5,39}, {18,44}, {16,41}, {6,45}, {17,44}, {9,25}, {15,46}, {17,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {12,29}, {11,32}, {15,24}, {16,26}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {1,48}, {14,40}, {16,31}, {4,36}, {15,39}, {9,44}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {5,31}, {6,20}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {2,26}, {10,40}, {10,21}, {9,21}, {14,47}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {16,36}, {14,26}, {1,45}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {16,46}, {18,28}, {5,24}, {2,22}, {11,47}, {15,29}, {16,20}, {4,46}, {18,24}, {8,43}, {11,45}, {1,33}, {18,27}, {16,27}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {12,39}, {5,47}, {11,31}, {15,48}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {13,35}, {5,21}, {7,42}, {17,24}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {4,35}, {13,33}, {18,43}, {14,20}, {14,25}, {15,21}, {7,26}, {2,47}, {1,23}, {16,35}, {10,24}, {10,27}, {10,34}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {15,22}, {17,45}, {14,41}, {4,26}, {16,39}, {16,24}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {8,28}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {17,23}, {9,43}, {1,46}, {4,19}, {3,37}, {14,22}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {6,35}, {17,32}, {12,19}, {1,37}, {8,25}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB48.161 // Bipartite(18,30) Valencies [20,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11796480 EdgesBipt[48][161]:={ {13,21}, {15,33}, {18,45}, {16,47}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {5,43}, {5,45}, {12,22}, {3,26}, {13,37}, {1,40}, {14,38}, {16,22}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {8,40}, {10,33}, {8,21}, {15,27}, {1,19}, {10,39}, {3,21}, {14,45}, {6,48}, {3,39}, {16,37}, {5,32}, {15,41}, {4,37}, {2,46}, {13,43}, {14,29}, {10,48}, {16,21}, {13,40}, {14,44}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {2,34}, {2,25}, {12,48}, {16,42}, {16,48}, {15,32}, {4,30}, {8,30}, {12,46}, {12,20}, {12,38}, {7,41}, {12,26}, {13,30}, {6,39}, {11,39}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {1,29}, {15,19}, {12,37}, {6,46}, {10,35}, {15,45}, {6,44}, {18,39}, {4,23}, {13,26}, {17,47}, {9,47}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {18,46}, {13,19}, {14,32}, {13,41}, {16,40}, {9,36}, {9,29}, {8,42}, {4,22}, {18,36}, {8,19}, {3,43}, {15,28}, {5,28}, {9,46}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {4,21}, {8,48}, {18,19}, {4,32}, {2,44}, {14,28}, {11,21}, {11,36}, {3,30}, {13,48}, {1,47}, {3,24}, {10,36}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {9,26}, {14,21}, {18,38}, {7,46}, {8,45}, {3,29}, {17,31}, {13,36}, {2,23}, {4,45}, {10,19}, {12,41}, {9,22}, {9,19}, {13,45}, {4,47}, {3,44}, {11,44}, {11,34}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {4,33}, {1,22}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {10,29}, {18,25}, {17,46}, {13,22}, {1,25}, {2,20}, {13,31}, {5,39}, {17,19}, {14,27}, {16,41}, {7,28}, {8,34}, {10,30}, {5,40}, {7,23}, {16,30}, {12,45}, {4,34}, {17,38}, {12,29}, {6,31}, {11,32}, {12,25}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {1,44}, {18,31}, {1,48}, {9,41}, {16,45}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {8,32}, {7,24}, {17,25}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {17,41}, {5,23}, {5,20}, {2,26}, {18,21}, {10,21}, {9,21}, {14,47}, {18,30}, {2,28}, {9,23}, {7,21}, {8,36}, {8,27}, {2,45}, {6,47}, {3,48}, {3,33}, {16,36}, {14,26}, {9,28}, {18,28}, {5,24}, {11,47}, {15,29}, {18,24}, {8,43}, {2,31}, {16,38}, {1,33}, {18,27}, {3,45}, {16,27}, {12,44}, {7,47}, {5,29}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {5,47}, {17,34}, {15,47}, {11,31}, {15,48}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {6,41}, {17,40}, {17,21}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {13,33}, {18,43}, {14,20}, {7,26}, {11,37}, {11,28}, {1,23}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {16,33}, {8,35}, {10,45}, {17,27}, {2,40}, {15,22}, {14,41}, {4,26}, {16,39}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {8,28}, {7,43}, {18,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {17,23}, {10,23}, {15,26}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {9,34}, {13,46}, {15,43}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {2,42}, {18,42}, {4,48}, {16,32}, {6,33}, {18,34}, {3,46}, {17,48}, {15,25}, {18,37}, {5,30}, {9,37}, {6,40} }; // ETB48.162 // Bipartite(24,24) Valencies [20,20] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 52589300307921469440 EdgesBipt[48][162]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {24,33}, {14,48}, {4,46}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {22,37}, {14,29}, {2,26}, {8,28}, {5,32}, {14,47}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {8,26}, {10,29}, {15,33}, {5,43}, {12,32}, {22,25}, {2,30}, {3,25}, {4,30}, {21,35}, {20,42}, {2,38}, {23,45}, {12,27}, {4,38}, {11,39}, {24,39}, {21,31}, {19,38}, {7,26}, {11,27}, {8,44}, {4,34}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {23,34}, {17,45}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {19,40}, {24,48}, {16,26}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {24,44}, {9,31}, {20,39}, {5,33}, {22,47}, {16,43}, {8,47}, {6,39}, {24,43}, {2,44}, {2,45}, {1,42}, {16,34}, {10,48}, {22,41}, {19,31}, {18,26}, {22,26}, {2,28}, {1,27}, {9,25}, {4,44}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {2,34}, {15,27}, {14,35}, {12,41}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {21,25}, {5,29}, {9,28}, {20,40}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {15,40}, {21,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,25}, {6,43}, {23,26}, {12,47}, {6,37}, {3,37}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {9,42}, {16,37}, {13,32}, {18,44}, {23,28}, {21,29}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {4,42}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {13,36}, {3,35}, {14,26}, {9,40}, {7,46}, {8,45}, {6,47}, {19,28}, {11,33}, {1,34}, {7,25}, {22,40}, {4,47}, {24,35}, {13,37}, {24,37}, {8,27}, {24,31}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {23,41}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {15,48}, {19,33}, {3,34}, {18,39}, {9,48}, {14,34}, {13,44}, {16,40}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {14,30}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {24,29}, {17,34}, {12,26}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {20,34}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {13,34}, {23,25}, {1,38}, {5,37}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {4,48}, {2,48}, {7,39}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {6,27}, {21,41}, {17,40}, {7,45}, {20,41}, {8,46}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {18,32}, {22,31}, {20,47}, {22,35}, {5,39}, {12,43}, {19,34}, {23,37}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {23,47}, {19,25}, {18,41}, {23,43}, {21,28}, {16,38}, {22,43}, {12,37}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {6,41}, {4,36}, {6,29} }; // ETB48.163 // Bipartite(20,28) Valencies [21,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3211133576439398400000000 EdgesBipt[48][163]:={ {13,21}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {19,26}, {4,28}, {5,45}, {3,26}, {13,37}, {1,40}, {14,38}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {3,39}, {16,37}, {20,37}, {16,28}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {14,29}, {16,21}, {13,40}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {10,47}, {19,40}, {2,34}, {12,28}, {19,31}, {2,25}, {12,48}, {4,24}, {4,43}, {16,48}, {15,32}, {9,33}, {20,43}, {8,37}, {20,24}, {5,41}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {12,31}, {12,40}, {19,48}, {20,29}, {17,26}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {1,36}, {1,29}, {19,42}, {12,37}, {6,46}, {10,35}, {16,43}, {18,39}, {4,23}, {13,26}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {13,41}, {20,36}, {16,40}, {18,29}, {9,36}, {6,34}, {9,29}, {18,26}, {18,33}, {3,38}, {19,46}, {3,43}, {15,28}, {5,28}, {14,46}, {20,41}, {2,39}, {9,46}, {3,47}, {14,35}, {1,42}, {7,32}, {12,24}, {19,38}, {3,31}, {12,27}, {19,47}, {11,22}, {6,27}, {2,30}, {11,42}, {14,34}, {3,36}, {19,23}, {4,21}, {17,29}, {8,48}, {20,25}, {4,32}, {1,30}, {19,27}, {12,47}, {16,29}, {11,36}, {3,30}, {13,48}, {11,23}, {3,24}, {14,33}, {10,38}, {14,23}, {10,46}, {15,34}, {18,22}, {13,25}, {14,39}, {11,48}, {19,30}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {18,38}, {7,46}, {8,45}, {13,36}, {1,41}, {2,23}, {4,45}, {15,23}, {12,41}, {9,22}, {11,44}, {4,47}, {3,44}, {13,45}, {20,31}, {19,24}, {11,34}, {17,28}, {7,35}, {11,46}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {18,25}, {17,46}, {13,22}, {1,25}, {9,30}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {5,40}, {10,30}, {20,47}, {7,23}, {12,45}, {6,22}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {18,31}, {19,44}, {1,48}, {9,41}, {6,23}, {16,31}, {16,45}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {17,22}, {17,25}, {20,48}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {18,41}, {18,21}, {10,21}, {9,21}, {14,47}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {11,30}, {19,39}, {9,28}, {3,34}, {2,21}, {4,27}, {19,43}, {5,24}, {2,22}, {11,47}, {8,43}, {2,31}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {12,44}, {5,26}, {7,47}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {15,47}, {11,31}, {20,33}, {15,48}, {19,35}, {13,34}, {7,22}, {6,26}, {1,34}, {15,42}, {5,21}, {7,42}, {6,41}, {17,24}, {17,40}, {20,23}, {8,44}, {17,21}, {19,36}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {14,25}, {7,26}, {20,45}, {11,28}, {2,47}, {16,35}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {10,45}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {20,40}, {5,44}, {5,25}, {10,23}, {15,26}, {1,46}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {13,46}, {15,43}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {20,21}, {1,37}, {8,25}, {2,42}, {18,42}, {4,48}, {16,32}, {6,33}, {12,21}, {18,34}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB48.164 // Bipartite(24,24) Valencies [21,21] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 227494302937251840 EdgesBipt[48][164]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {20,26}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {5,32}, {8,37}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {1,32}, {20,27}, {8,36}, {13,43}, {17,29}, {23,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {23,45}, {12,27}, {6,34}, {4,38}, {11,39}, {24,39}, {21,31}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {8,38}, {18,29}, {19,30}, {22,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {21,44}, {23,33}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {22,27}, {20,32}, {18,31}, {9,27}, {1,25}, {18,42}, {16,42}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {16,43}, {8,47}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {23,39}, {21,25}, {5,29}, {9,28}, {20,40}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {4,33}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {23,26}, {12,47}, {7,29}, {6,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {22,33}, {14,37}, {10,46}, {7,43}, {20,31}, {10,28}, {9,44}, {13,35}, {16,37}, {13,32}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {15,42}, {2,40}, {9,43}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {20,37}, {11,33}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {24,31}, {6,46}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {19,36}, {15,25}, {13,28}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {15,35}, {5,41}, {13,41}, {19,33}, {3,34}, {18,39}, {9,48}, {3,38}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {24,28}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {24,29}, {12,26}, {18,46}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,26}, {24,26}, {20,34}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {23,25}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {20,48}, {24,32}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {16,44}, {23,31}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {6,27}, {21,41}, {12,40}, {17,40}, {7,45}, {20,41}, {8,46}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {3,40}, {20,46}, {23,27}, {22,42}, {22,44}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {12,37}, {17,30}, {7,33}, {12,31}, {16,47}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {17,33}, {10,32}, {17,47}, {6,41}, {12,46}, {6,29}, {2,31} }; // ETB48.165 // Bipartite(4,44) Valencies [22,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20310137291224468212940800000000 EdgesBipt[48][165]:={ {4,35}, {3,15}, {2,38}, {4,42}, {4,14}, {2,22}, {3,7}, {4,27}, {1,40}, {1,25}, {2,37}, {3,32}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {4,6}, {3,31}, {2,18}, {4,26}, {2,29}, {3,19}, {1,29}, {3,48}, {2,14}, {3,11}, {2,10}, {2,41}, {4,7}, {4,46}, {1,36}, {4,39}, {1,17}, {3,40}, {1,16}, {2,17}, {2,13}, {1,12}, {4,43}, {3,23}, {4,31}, {2,42}, {3,27}, {2,34}, {4,30}, {3,47}, {4,15}, {2,9}, {4,38}, {4,11}, {3,35}, {2,21}, {2,46}, {4,22}, {3,28}, {3,24}, {3,12}, {2,6}, {1,41}, {3,44}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {4,18}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {1,28}, {3,36}, {3,43}, {4,34}, {4,47}, {1,45}, {4,23}, {1,8}, {2,30}, {1,21}, {1,48}, {4,19}, {4,10}, {2,5}, {1,24}, {2,45} }; // ETB48.166 // Bipartite(15,33) Valencies [22,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 659420041922872344576000000000 EdgesBipt[48][166]:={ {15,33}, {10,37}, {14,36}, {6,25}, {5,38}, {4,28}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {2,35}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {12,16}, {2,18}, {3,21}, {14,45}, {6,48}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {4,38}, {11,35}, {11,29}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {5,41}, {7,41}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {10,20}, {13,47}, {2,48}, {15,30}, {13,20}, {6,18}, {1,29}, {15,19}, {12,37}, {6,46}, {10,35}, {15,45}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {2,29}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {5,27}, {3,43}, {15,28}, {2,39}, {9,46}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {13,17}, {7,19}, {4,32}, {2,44}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {6,16}, {10,46}, {15,34}, {11,33}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {14,21}, {7,46}, {8,45}, {1,41}, {2,23}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {14,27}, {7,28}, {6,45}, {12,18}, {13,29}, {9,25}, {15,46}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {14,47}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,48}, {3,33}, {13,32}, {14,26}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {11,47}, {4,46}, {11,45}, {12,36}, {3,45}, {5,26}, {7,47}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {15,48}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {14,20}, {15,21}, {7,26}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {14,42}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {12,19}, {14,48}, {1,37}, {2,42}, {6,33}, {12,21}, {2,32}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.167 // Bipartite(24,24) Valencies [22,22] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 16072626615091200 EdgesBipt[48][167]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {8,37}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {23,29}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {23,45}, {12,27}, {6,34}, {4,38}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,32}, {11,31}, {11,37}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {19,40}, {24,48}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {8,40}, {2,41}, {1,31}, {6,35}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {12,41}, {5,42}, {11,32}, {3,31}, {23,39}, {10,43}, {21,25}, {5,29}, {20,40}, {16,35}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {4,33}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {19,32}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,25}, {23,26}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {20,31}, {8,33}, {11,45}, {10,28}, {9,44}, {9,42}, {13,35}, {16,37}, {13,32}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {15,36}, {10,36}, {8,41}, {15,42}, {2,40}, {9,43}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {15,29}, {14,41}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {14,26}, {5,48}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {24,42}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {19,36}, {9,34}, {15,25}, {13,28}, {16,25}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {10,34}, {21,47}, {24,28}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {24,29}, {17,34}, {12,26}, {18,46}, {24,46}, {1,45}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {20,34}, {7,44}, {11,46}, {4,31}, {3,41}, {10,33}, {10,39}, {19,47}, {23,25}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {6,27}, {21,41}, {12,40}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {3,40}, {20,46}, {23,27}, {12,36}, {22,44}, {21,39}, {3,33}, {23,47}, {15,26}, {18,41}, {23,43}, {16,38}, {22,43}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {17,33}, {10,32}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.168 // Bipartite(24,24) Valencies [23,23] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1240896803466478878720000 EdgesBipt[48][168]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {5,32}, {8,37}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {1,41}, {4,30}, {21,35}, {20,42}, {2,38}, {23,45}, {12,27}, {6,34}, {4,38}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,25}, {6,43}, {23,26}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {20,31}, {8,33}, {11,45}, {10,28}, {9,44}, {13,35}, {13,32}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {14,26}, {5,48}, {9,40}, {14,31}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {24,28}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {24,29}, {17,34}, {12,26}, {18,46}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {13,38}, {11,26}, {24,26}, {20,34}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {23,25}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {6,30}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {17,33}, {10,32}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.169 // Bipartite(12,36) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9115822659541787291418624000000 EdgesBipt[48][169]:={ {10,37}, {6,25}, {5,38}, {4,28}, {5,45}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {6,15}, {11,15}, {8,21}, {3,19}, {5,15}, {1,19}, {8,23}, {12,16}, {2,18}, {3,21}, {6,48}, {3,39}, {11,14}, {1,35}, {5,32}, {4,37}, {4,40}, {2,33}, {4,38}, {11,29}, {11,35}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {4,13}, {5,41}, {7,41}, {1,13}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {10,20}, {2,48}, {2,15}, {12,13}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {4,23}, {11,18}, {8,38}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {5,27}, {7,14}, {3,43}, {2,39}, {9,46}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {9,13}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {7,19}, {4,32}, {2,44}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {7,28}, {6,45}, {12,18}, {9,25}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {8,29}, {8,36}, {8,27}, {2,45}, {3,48}, {3,33}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {11,47}, {4,46}, {11,45}, {12,36}, {3,45}, {5,26}, {7,47}, {5,29}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {8,14}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {7,26}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {12,19}, {1,37}, {2,42}, {6,33}, {2,32}, {12,21}, {2,14}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.170 // Bipartite(12,36) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12173449145352192 EdgesBipt[48][170]:={ {6,38}, {11,40}, {10,37}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {3,19}, {5,15}, {3,20}, {3,21}, {6,48}, {3,39}, {11,14}, {5,32}, {8,31}, {4,40}, {4,37}, {6,14}, {2,33}, {6,32}, {11,35}, {11,17}, {6,29}, {1,20}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {12,48}, {4,43}, {8,30}, {8,13}, {12,46}, {4,16}, {7,45}, {4,13}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {12,23}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {4,23}, {8,38}, {9,47}, {6,24}, {2,29}, {1,38}, {3,17}, {7,15}, {8,22}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {7,14}, {3,43}, {5,28}, {2,39}, {9,46}, {4,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {12,27}, {11,22}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {4,32}, {2,44}, {2,13}, {12,15}, {8,15}, {11,21}, {12,47}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {10,36}, {10,46}, {11,33}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {10,13}, {4,45}, {10,19}, {12,41}, {9,19}, {3,44}, {11,44}, {3,25}, {11,13}, {11,46}, {2,43}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {5,19}, {10,44}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {5,40}, {7,23}, {12,45}, {4,34}, {10,25}, {12,29}, {11,32}, {1,16}, {4,14}, {6,23}, {4,36}, {1,32}, {9,44}, {6,37}, {7,24}, {10,28}, {5,31}, {6,20}, {4,44}, {7,40}, {5,23}, {2,26}, {10,40}, {12,14}, {9,21}, {7,29}, {8,29}, {5,46}, {6,47}, {3,48}, {1,45}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {4,46}, {8,43}, {2,31}, {1,33}, {12,36}, {3,45}, {5,26}, {7,47}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {1,23}, {10,27}, {10,34}, {5,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,43}, {8,20}, {1,27}, {5,44}, {5,13}, {10,23}, {9,43}, {4,19}, {8,39}, {3,37}, {7,13}, {9,34}, {10,14}, {10,32}, {7,36}, {12,19}, {8,25}, {2,42}, {6,33}, {12,21}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37} }; // ETB48.171 // Bipartite(12,36) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1141260857376768 EdgesBipt[48][171]:={ {7,48}, {11,40}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {3,26}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {8,21}, {3,19}, {5,15}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {6,48}, {11,14}, {7,30}, {4,37}, {4,40}, {2,46}, {10,48}, {11,29}, {11,27}, {1,20}, {10,47}, {2,34}, {10,17}, {9,18}, {2,25}, {12,48}, {4,24}, {8,30}, {9,33}, {4,13}, {7,41}, {1,13}, {12,26}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,48}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {4,23}, {11,18}, {8,38}, {9,47}, {6,24}, {1,38}, {3,17}, {2,36}, {7,15}, {9,36}, {6,34}, {1,43}, {9,29}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {7,14}, {3,43}, {5,28}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {3,13}, {11,22}, {7,37}, {6,27}, {2,30}, {5,35}, {8,48}, {7,19}, {4,32}, {2,44}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,16}, {1,47}, {11,23}, {10,36}, {10,38}, {6,16}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {12,41}, {9,19}, {3,44}, {3,25}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {10,31}, {5,19}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {10,25}, {6,31}, {11,32}, {12,25}, {1,16}, {3,22}, {4,14}, {4,15}, {7,39}, {3,41}, {4,36}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {4,44}, {2,41}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {8,27}, {2,45}, {5,46}, {1,45}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {11,47}, {4,46}, {11,45}, {1,33}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {3,28}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {8,14}, {11,31}, {11,41}, {7,25}, {1,14}, {1,34}, {5,21}, {7,42}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {11,37}, {11,28}, {7,16}, {1,23}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {6,21}, {9,45}, {4,26}, {7,20}, {9,27}, {7,38}, {5,42}, {12,32}, {10,43}, {7,43}, {8,20}, {1,27}, {5,44}, {5,13}, {9,43}, {4,19}, {8,39}, {3,37}, {9,42}, {9,34}, {12,35}, {2,32}, {6,33}, {12,21}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.172 // Bipartite(16,32) Valencies [24,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[48][172]:={ {15,33}, {7,48}, {11,40}, {10,37}, {16,47}, {15,38}, {6,25}, {5,38}, {5,22}, {10,18}, {4,28}, {5,45}, {3,26}, {12,22}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {11,43}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {3,23}, {8,23}, {3,20}, {3,21}, {14,45}, {6,48}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {4,37}, {2,46}, {13,43}, {16,21}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {11,17}, {10,42}, {1,20}, {3,18}, {10,47}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {12,48}, {4,24}, {16,42}, {16,48}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {11,39}, {2,17}, {7,33}, {12,40}, {10,20}, {1,24}, {13,24}, {2,48}, {15,30}, {12,23}, {13,20}, {16,25}, {9,35}, {6,18}, {1,29}, {15,19}, {16,34}, {6,46}, {15,45}, {6,44}, {4,23}, {8,38}, {13,26}, {9,47}, {2,29}, {5,34}, {1,38}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {16,40}, {8,22}, {6,34}, {1,43}, {9,29}, {9,39}, {9,20}, {4,22}, {1,18}, {3,38}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {4,18}, {3,47}, {14,35}, {1,42}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {14,34}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {16,18}, {13,18}, {14,28}, {11,21}, {12,47}, {8,17}, {16,29}, {11,36}, {3,30}, {13,48}, {16,17}, {1,47}, {11,23}, {3,24}, {10,36}, {10,38}, {10,46}, {15,34}, {11,33}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {3,29}, {12,17}, {13,36}, {1,41}, {10,19}, {15,23}, {9,22}, {12,41}, {13,45}, {3,25}, {11,34}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {10,29}, {13,22}, {6,19}, {2,20}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {12,18}, {8,34}, {13,29}, {9,25}, {15,46}, {10,30}, {5,40}, {7,23}, {6,22}, {10,25}, {15,35}, {6,31}, {11,32}, {12,25}, {16,26}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {1,48}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {16,44}, {4,44}, {2,41}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {7,29}, {14,47}, {2,28}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {16,36}, {13,32}, {14,26}, {1,45}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {15,29}, {16,20}, {4,46}, {8,43}, {14,19}, {11,45}, {1,33}, {12,36}, {3,45}, {16,27}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {11,19}, {8,33}, {5,47}, {12,39}, {15,47}, {11,31}, {15,48}, {14,24}, {11,41}, {6,26}, {1,34}, {15,42}, {5,21}, {7,42}, {12,34}, {8,44}, {6,42}, {16,23}, {4,35}, {13,33}, {14,20}, {15,21}, {7,26}, {7,18}, {11,37}, {11,28}, {2,47}, {5,18}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {15,18}, {16,33}, {3,40}, {7,17}, {10,45}, {8,35}, {13,23}, {2,40}, {6,21}, {9,45}, {14,41}, {4,26}, {16,24}, {7,20}, {9,27}, {7,38}, {5,42}, {12,32}, {15,36}, {15,31}, {8,28}, {7,43}, {9,40}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {5,36}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {8,25}, {2,42}, {4,48}, {6,33}, {11,26}, {9,48}, {5,48}, {15,25}, {9,37}, {6,40} }; // ETB48.173 // Bipartite(16,32) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21044485006553241354240000 EdgesBipt[48][173]:={ {13,21}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {5,45}, {3,26}, {13,37}, {1,40}, {14,38}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {14,45}, {3,39}, {16,37}, {16,28}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {14,29}, {16,21}, {13,40}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {16,48}, {15,32}, {9,33}, {1,17}, {8,37}, {12,20}, {5,41}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {6,46}, {10,35}, {16,43}, {4,23}, {11,18}, {13,26}, {2,29}, {5,34}, {1,38}, {1,26}, {13,41}, {16,40}, {9,36}, {6,34}, {9,29}, {9,20}, {8,19}, {3,38}, {1,18}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {3,47}, {14,35}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {11,42}, {14,34}, {3,36}, {4,21}, {8,48}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,47}, {8,17}, {16,29}, {11,36}, {3,30}, {13,48}, {16,17}, {11,23}, {3,24}, {14,33}, {10,38}, {14,23}, {10,46}, {15,34}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {7,46}, {8,45}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {15,23}, {9,22}, {12,41}, {11,44}, {4,47}, {3,44}, {13,45}, {11,34}, {7,35}, {11,46}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {13,22}, {1,25}, {6,19}, {4,17}, {9,30}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {13,29}, {9,25}, {15,46}, {10,22}, {5,40}, {10,30}, {7,23}, {12,45}, {6,22}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {1,48}, {9,41}, {6,23}, {16,31}, {16,45}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {2,19}, {16,44}, {4,44}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {14,47}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {16,20}, {8,43}, {2,31}, {14,19}, {1,33}, {12,36}, {16,27}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {15,47}, {11,31}, {15,48}, {13,34}, {7,22}, {6,26}, {1,34}, {15,42}, {14,18}, {5,21}, {7,42}, {6,41}, {8,44}, {6,42}, {16,23}, {4,35}, {13,33}, {14,25}, {7,26}, {7,18}, {11,28}, {2,47}, {5,18}, {16,35}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {8,35}, {10,45}, {6,21}, {15,22}, {9,45}, {14,41}, {15,20}, {16,39}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {5,25}, {10,23}, {15,26}, {1,46}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {9,34}, {13,46}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {4,48}, {16,32}, {6,33}, {12,21}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB48.174 // Bipartite(16,32) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 126806761930752 EdgesBipt[48][174]:={ {13,21}, {15,33}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {5,45}, {12,22}, {8,26}, {13,37}, {14,38}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {6,48}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {16,21}, {6,32}, {11,35}, {11,29}, {11,17}, {10,42}, {6,29}, {11,27}, {10,47}, {2,34}, {10,17}, {9,18}, {12,48}, {4,43}, {16,42}, {16,48}, {15,32}, {8,30}, {9,33}, {12,46}, {1,17}, {7,45}, {8,46}, {5,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {10,26}, {12,31}, {12,40}, {10,20}, {2,48}, {15,30}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {16,43}, {4,23}, {8,38}, {13,26}, {9,47}, {6,24}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {1,43}, {9,39}, {8,42}, {9,20}, {1,18}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {3,36}, {4,21}, {8,48}, {13,17}, {7,19}, {2,44}, {1,30}, {16,18}, {13,18}, {11,21}, {12,47}, {8,17}, {16,29}, {11,36}, {1,47}, {2,24}, {3,24}, {10,36}, {14,33}, {14,23}, {11,33}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {7,46}, {3,29}, {13,36}, {1,41}, {2,23}, {4,45}, {15,23}, {9,22}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {8,34}, {13,29}, {9,25}, {15,46}, {5,40}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {16,26}, {15,40}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {16,31}, {16,45}, {15,17}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {2,19}, {16,44}, {4,44}, {7,40}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {7,29}, {14,47}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {5,46}, {6,47}, {3,48}, {3,33}, {16,36}, {14,26}, {1,45}, {11,30}, {9,28}, {4,27}, {5,24}, {2,22}, {16,20}, {2,31}, {11,45}, {1,33}, {3,45}, {16,27}, {5,26}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {11,19}, {8,33}, {12,39}, {15,47}, {15,48}, {14,24}, {13,34}, {11,41}, {7,22}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {16,23}, {4,35}, {13,33}, {14,25}, {7,26}, {7,18}, {11,37}, {11,28}, {2,47}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,34}, {5,17}, {3,40}, {10,45}, {2,40}, {6,21}, {15,22}, {14,41}, {4,26}, {15,20}, {16,39}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {14,48}, {1,37}, {8,25}, {2,42}, {16,32}, {6,33}, {12,21}, {2,32}, {5,48}, {5,33}, {15,25}, {5,30}, {11,38}, {6,40} }; // ETB48.175 // Bipartite(16,32) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19327352832 EdgesBipt[48][175]:={ {13,21}, {15,33}, {7,48}, {6,38}, {10,37}, {16,47}, {15,38}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {5,43}, {5,45}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {14,45}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {16,21}, {14,44}, {2,33}, {11,35}, {11,29}, {11,17}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {10,17}, {2,25}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {15,32}, {8,30}, {9,33}, {1,17}, {8,46}, {8,37}, {12,20}, {7,41}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,48}, {15,30}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {16,43}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {6,24}, {2,29}, {1,38}, {1,26}, {13,19}, {3,17}, {2,36}, {16,40}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {8,42}, {9,20}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {8,48}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {16,18}, {14,28}, {12,47}, {11,36}, {13,48}, {1,47}, {2,24}, {11,23}, {10,36}, {14,33}, {14,23}, {10,46}, {15,34}, {11,33}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {9,26}, {14,21}, {7,46}, {3,29}, {13,36}, {1,41}, {2,23}, {4,45}, {12,41}, {9,22}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {7,35}, {6,30}, {1,22}, {7,34}, {5,19}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {2,20}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {6,45}, {12,18}, {8,34}, {13,29}, {9,25}, {15,46}, {10,30}, {16,30}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {14,43}, {15,40}, {3,22}, {14,37}, {13,38}, {14,40}, {9,41}, {6,23}, {16,31}, {15,17}, {3,41}, {4,36}, {4,29}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {16,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {14,47}, {2,28}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {13,32}, {1,45}, {3,34}, {2,21}, {4,27}, {16,46}, {11,47}, {8,43}, {16,38}, {11,45}, {1,33}, {12,36}, {3,45}, {16,27}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {11,19}, {12,39}, {15,47}, {11,31}, {15,48}, {14,24}, {11,41}, {7,25}, {7,22}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {16,23}, {4,35}, {13,33}, {14,25}, {7,26}, {7,18}, {11,28}, {16,35}, {10,24}, {11,20}, {10,34}, {15,18}, {5,17}, {7,17}, {10,45}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {15,20}, {16,39}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {12,32}, {15,36}, {15,31}, {7,44}, {8,28}, {9,40}, {4,20}, {1,27}, {5,44}, {10,23}, {15,26}, {9,43}, {1,46}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {10,32}, {13,46}, {4,39}, {12,35}, {7,36}, {12,19}, {1,37}, {2,42}, {4,48}, {16,32}, {6,33}, {12,21}, {2,32}, {5,48}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.176 // Bipartite(16,32) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[48][176]:={ {11,40}, {10,37}, {16,47}, {15,38}, {14,36}, {9,32}, {6,25}, {9,17}, {4,28}, {3,26}, {12,22}, {8,26}, {16,22}, {13,39}, {11,43}, {2,35}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {3,23}, {10,39}, {3,20}, {1,21}, {3,21}, {14,45}, {6,48}, {3,39}, {16,37}, {16,28}, {5,32}, {7,30}, {15,41}, {4,40}, {2,46}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {10,47}, {9,18}, {10,17}, {12,28}, {2,25}, {4,24}, {4,43}, {16,42}, {16,48}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {7,45}, {8,46}, {8,37}, {5,41}, {7,41}, {12,38}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {13,24}, {13,47}, {2,48}, {15,30}, {5,37}, {13,42}, {9,35}, {1,36}, {6,18}, {15,19}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {4,23}, {11,18}, {8,38}, {13,26}, {6,24}, {5,34}, {1,38}, {13,19}, {14,32}, {3,17}, {2,36}, {13,41}, {16,40}, {8,22}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {4,22}, {8,19}, {3,38}, {1,18}, {6,17}, {5,28}, {8,18}, {9,46}, {3,47}, {14,35}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {8,48}, {13,17}, {4,32}, {1,30}, {16,18}, {13,18}, {14,28}, {12,47}, {6,36}, {16,29}, {11,36}, {13,48}, {16,17}, {1,47}, {2,24}, {11,23}, {10,36}, {15,37}, {14,23}, {10,46}, {15,34}, {13,25}, {14,39}, {11,48}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {4,45}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {5,19}, {10,44}, {10,29}, {13,22}, {1,25}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {6,45}, {12,18}, {8,34}, {13,29}, {15,46}, {10,30}, {5,40}, {7,23}, {12,45}, {15,35}, {12,29}, {11,32}, {12,25}, {16,26}, {3,42}, {14,43}, {3,22}, {14,37}, {1,44}, {13,38}, {1,48}, {14,40}, {6,23}, {16,31}, {16,45}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {16,44}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {14,47}, {8,29}, {9,23}, {8,36}, {5,46}, {3,48}, {3,33}, {16,36}, {13,32}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {15,29}, {16,20}, {4,46}, {2,31}, {14,19}, {16,38}, {1,33}, {3,45}, {16,27}, {5,26}, {12,44}, {7,47}, {2,37}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {5,47}, {15,47}, {11,31}, {14,24}, {13,34}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,42}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,28}, {2,47}, {5,18}, {1,23}, {10,24}, {11,20}, {10,27}, {15,18}, {5,17}, {16,33}, {7,17}, {10,45}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {15,20}, {1,28}, {16,24}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {15,26}, {9,43}, {1,46}, {4,19}, {3,37}, {9,42}, {9,34}, {15,43}, {4,39}, {7,36}, {12,35}, {12,19}, {14,48}, {1,37}, {8,25}, {2,42}, {4,48}, {16,32}, {6,33}, {12,21}, {2,32}, {11,26}, {9,48}, {5,48}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.177 // Bipartite(24,24) Valencies [24,24] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 769912438426662553879474004305934234419200000000 EdgesBipt[48][177]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {20,26}, {3,29}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {5,32}, {8,37}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {2,38}, {20,42}, {23,45}, {12,27}, {6,34}, {4,38}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,25}, {6,43}, {23,26}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {9,42}, {13,35}, {16,37}, {13,32}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {24,28}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {24,29}, {17,34}, {12,26}, {18,46}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {23,25}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.178 // Bipartite(18,30) Valencies [25,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 100306130042880000000 EdgesBipt[48][178]:={ {13,21}, {15,33}, {18,45}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {4,28}, {5,45}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {15,44}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {6,48}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {14,44}, {6,32}, {17,35}, {4,38}, {11,35}, {11,29}, {11,27}, {10,47}, {2,34}, {12,28}, {2,25}, {12,48}, {4,43}, {18,32}, {15,32}, {8,30}, {9,33}, {12,46}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {13,47}, {2,48}, {15,30}, {16,25}, {13,42}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {6,44}, {18,39}, {4,23}, {8,38}, {17,47}, {9,47}, {6,24}, {17,36}, {2,29}, {5,34}, {18,46}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {18,33}, {18,36}, {8,19}, {3,38}, {5,27}, {3,43}, {5,28}, {14,46}, {3,47}, {14,35}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {17,29}, {8,48}, {18,19}, {7,19}, {4,32}, {2,44}, {1,30}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {13,48}, {1,47}, {2,24}, {11,23}, {3,24}, {15,37}, {10,38}, {14,23}, {10,46}, {11,33}, {18,22}, {13,25}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {18,20}, {18,38}, {7,46}, {3,29}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {15,23}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {17,28}, {7,35}, {11,46}, {2,43}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {17,46}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {18,44}, {16,41}, {7,28}, {6,45}, {17,44}, {8,34}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {14,43}, {14,37}, {18,31}, {1,48}, {14,40}, {9,41}, {16,31}, {16,45}, {7,39}, {3,41}, {15,39}, {4,29}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {17,22}, {2,19}, {6,20}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {14,47}, {18,30}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {5,46}, {3,48}, {3,33}, {14,26}, {1,45}, {11,30}, {4,27}, {16,46}, {18,28}, {5,24}, {2,22}, {11,47}, {15,29}, {16,20}, {4,46}, {18,24}, {8,43}, {2,31}, {14,19}, {16,38}, {11,45}, {1,33}, {18,27}, {12,36}, {3,45}, {16,27}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {10,41}, {4,25}, {14,30}, {7,31}, {12,33}, {5,47}, {12,39}, {17,34}, {15,47}, {15,48}, {14,24}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {17,24}, {17,40}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {18,43}, {14,20}, {14,25}, {15,21}, {11,28}, {2,47}, {1,23}, {16,35}, {11,20}, {14,42}, {10,27}, {10,34}, {16,33}, {8,35}, {10,45}, {13,23}, {17,27}, {2,40}, {6,21}, {17,45}, {9,45}, {14,41}, {4,26}, {15,20}, {16,39}, {1,28}, {13,28}, {3,27}, {9,27}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {8,28}, {7,43}, {18,40}, {4,20}, {8,20}, {1,27}, {5,44}, {17,23}, {10,23}, {15,26}, {9,43}, {1,46}, {4,19}, {3,37}, {14,22}, {9,42}, {5,36}, {16,19}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {17,32}, {12,19}, {14,48}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {6,33}, {12,21}, {18,34}, {18,48}, {11,26}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.179 // Bipartite(23,25) Valencies [25,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 400996061680553413478892710576007413760000000000 EdgesBipt[48][179]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {23,29}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {23,45}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {18,35}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {23,26}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {20,24}, {23,25}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {16,44}, {19,45}, {23,31}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.180 // Bipartite(9,39) Valencies [26,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 312929099734582916863229952000000 EdgesBipt[48][180]:={ {6,48}, {2,44}, {8,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {8,30}, {2,23}, {1,13}, {5,38}, {9,45}, {7,38}, {8,42}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {9,43}, {2,26}, {7,34}, {8,39}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,44}, {8,27}, {2,42}, {6,22}, {3,18}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,40}, {6,31}, {1,38}, {4,10}, {1,17}, {2,36}, {9,48}, {4,22}, {7,11}, {7,20}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {8,41}, {2,38}, {8,47}, {9,19}, {8,14}, {7,46}, {8,45}, {2,39}, {7,32}, {1,31}, {3,12}, {7,13}, {7,25}, {7,43}, {2,35}, {1,22}, {6,12}, {6,30}, {4,47}, {6,43}, {5,23}, {9,34}, {9,42}, {2,20}, {6,18}, {2,48}, {1,29}, {8,17}, {3,39}, {4,35}, {9,25}, {7,16}, {2,32}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {6,46}, {8,11}, {5,24}, {9,37}, {5,48}, {8,35}, {9,10}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {8,26}, {5,42}, {9,22}, {7,31}, {6,15}, {5,41}, {2,17}, {7,47}, {9,13}, {5,12}, {9,40}, {8,32}, {8,21}, {3,19}, {6,27}, {5,44}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {1,46}, {7,29}, {6,28}, {2,11}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {2,29}, {6,45}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {8,24}, {2,47}, {6,25}, {1,47}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,26}, {8,18}, {3,42}, {9,39}, {4,25}, {4,11}, {4,20}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {3,31}, {2,12}, {1,14}, {9,24}, {9,46}, {6,39}, {5,15}, {6,37}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {7,40}, {4,44}, {8,29}, {4,32} }; // ETB48.181 // Bipartite(22,26) Valencies [26,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 453299895812799510889183064129399685120000000000 EdgesBipt[48][181]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {4,38}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {14,23}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {1,48}, {15,44}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {19,45}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.182 // Bipartite(12,36) Valencies [27,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 539347133312483658301440000 EdgesBipt[48][182]:={ {7,48}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {5,45}, {3,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {8,21}, {3,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,39}, {5,32}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {8,13}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {1,13}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {12,40}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {4,23}, {11,18}, {2,29}, {5,34}, {1,38}, {1,26}, {7,15}, {9,36}, {6,34}, {9,29}, {9,20}, {8,19}, {3,38}, {1,18}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {9,13}, {6,27}, {2,30}, {11,42}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {12,47}, {8,17}, {11,36}, {3,30}, {3,16}, {11,23}, {3,24}, {11,16}, {10,38}, {10,46}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {7,46}, {8,45}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {12,41}, {3,44}, {4,47}, {11,44}, {11,34}, {7,35}, {11,46}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {3,32}, {7,28}, {6,45}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {12,45}, {6,22}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {2,19}, {4,44}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {8,29}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {8,43}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {3,15}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,42}, {4,35}, {7,26}, {7,18}, {2,47}, {11,28}, {7,16}, {5,16}, {5,18}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {6,21}, {9,45}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {5,13}, {5,25}, {10,23}, {1,46}, {4,19}, {8,39}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {4,48}, {6,33}, {12,21}, {2,14}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB48.183 // Bipartite(21,27) Valencies [27,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 556322599406617581545815578704263249920000000000 EdgesBipt[48][183]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {19,45}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {16,45}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {12,36}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.184 // Bipartite(6,42) Valencies [28,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31802868506359093476766777344000000 EdgesBipt[48][184]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {2,26}, {2,9}, {6,7}, {2,41}, {2,14}, {5,32}, {4,23}, {2,42}, {6,22}, {3,18}, {3,7}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {1,17}, {2,36}, {1,7}, {4,22}, {4,8}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {6,30}, {4,47}, {6,43}, {5,23}, {2,20}, {6,18}, {2,48}, {1,29}, {3,39}, {4,35}, {2,32}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {5,48}, {5,14}, {1,28}, {4,13}, {3,27}, {4,7}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {5,42}, {6,15}, {5,41}, {2,17}, {5,12}, {3,19}, {6,27}, {5,44}, {5,36}, {3,21}, {1,25}, {6,19}, {1,46}, {6,9}, {6,28}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {6,34}, {6,10}, {5,27}, {5,26}, {3,42}, {5,9}, {4,25}, {4,11}, {1,8}, {4,20}, {3,28}, {1,41}, {5,45}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {3,36}, {4,44}, {4,32} }; // ETB48.185 // Bipartite(16,32) Valencies [28,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1136188586899537920 EdgesBipt[48][185]:={ {13,21}, {15,33}, {7,48}, {6,38}, {11,40}, {10,37}, {14,36}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {5,45}, {12,22}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {15,41}, {4,37}, {4,40}, {2,46}, {10,48}, {16,21}, {13,40}, {14,44}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {10,42}, {11,27}, {1,20}, {10,47}, {2,34}, {9,18}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {15,32}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {7,45}, {8,46}, {8,37}, {5,41}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {13,24}, {13,47}, {2,48}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {6,44}, {4,23}, {8,38}, {13,26}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {3,17}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {3,36}, {4,21}, {8,48}, {13,17}, {7,19}, {4,32}, {2,44}, {1,30}, {16,18}, {13,18}, {14,28}, {11,21}, {12,47}, {6,36}, {8,17}, {16,29}, {11,36}, {3,30}, {13,48}, {16,17}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {11,33}, {13,25}, {14,39}, {11,48}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {15,23}, {9,22}, {12,41}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {14,43}, {15,40}, {3,22}, {1,44}, {13,38}, {14,40}, {9,41}, {6,23}, {16,45}, {15,17}, {7,39}, {3,41}, {15,39}, {4,29}, {9,44}, {6,43}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {16,44}, {7,40}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {14,47}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {16,36}, {13,32}, {14,26}, {1,45}, {11,30}, {9,28}, {2,21}, {4,27}, {16,46}, {5,24}, {2,22}, {11,47}, {15,29}, {16,20}, {4,46}, {8,43}, {2,31}, {14,19}, {16,38}, {11,45}, {1,33}, {3,45}, {16,27}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {15,47}, {11,31}, {15,48}, {14,24}, {13,34}, {11,41}, {7,25}, {6,26}, {1,34}, {15,42}, {14,18}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,26}, {7,18}, {11,37}, {2,47}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {7,17}, {10,45}, {8,35}, {13,23}, {2,40}, {9,45}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {9,27}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {7,43}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {15,26}, {9,43}, {1,46}, {4,19}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {14,48}, {1,37}, {8,25}, {2,42}, {4,48}, {16,32}, {2,32}, {6,33}, {12,21}, {3,46}, {5,48}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.186 // Bipartite(20,28) Valencies [28,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 741763465875490108727754104939017666560000000000 EdgesBipt[48][186]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,40}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {7,21}, {19,45}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {20,47}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.187 // Bipartite(19,29) Valencies [29,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1075557025519460657655243452161575616512000000000 EdgesBipt[48][187]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, 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{15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {7,21}, {16,44}, {19,45}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.188 // Bipartite(3,45) Valencies [30,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13416835151120242560510984192000000000 EdgesBipt[48][188]:={ {3,15}, {1,43}, {2,38}, {1,11}, {3,46}, {3,7}, {1,31}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,47}, {1,38}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {3,34}, {3,31}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {1,34}, {2,14}, {2,41}, {2,23}, {1,10}, {1,17}, {3,13}, {1,22}, {2,32}, {3,40}, {1,16}, {2,36}, {2,17}, {3,9}, {3,22}, {2,42}, {3,27}, {1,19}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,24}, {3,42}, {2,27}, {3,4}, {1,23}, {2,21}, {2,48}, {1,7}, {2,39}, {2,12}, {3,28}, {3,24}, {3,12}, {2,6}, {3,21}, {1,14}, {1,41}, {3,39}, {2,8}, {1,37}, {1,20}, {3,16}, {1,13}, {3,25}, {2,26}, {3,6}, {1,28}, {3,36}, {3,37}, {3,43}, {1,47}, {3,33}, {1,8}, {2,30}, {2,5}, {2,45} }; // ETB48.189 // Bipartite(8,40) Valencies [30,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 66586065841047365222400000000 EdgesBipt[48][189]:={ {8,48}, {5,17}, {1,20}, {2,33}, {4,27}, {2,46}, {7,15}, {5,34}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {6,17}, {7,48}, {2,23}, {1,13}, {8,43}, {5,38}, {8,9}, {7,38}, {8,28}, {4,29}, {1,32}, {8,33}, {3,43}, {3,15}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {8,39}, {1,21}, {2,9}, {7,36}, {8,25}, {2,41}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,44}, {8,27}, {8,31}, {2,42}, {6,22}, {3,18}, {6,29}, {8,16}, {2,45}, {6,21}, {6,47}, {3,34}, {5,40}, {2,25}, {7,12}, {3,46}, {6,31}, {1,38}, {2,34}, {1,17}, {5,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {1,44}, {4,41}, {5,29}, {2,10}, {8,41}, {2,38}, {8,47}, {2,37}, {7,46}, {8,45}, {7,39}, {5,25}, {2,39}, {7,32}, {3,12}, {4,45}, {7,43}, {2,35}, {1,22}, {3,44}, {4,47}, {6,30}, {6,43}, {4,33}, {4,21}, {3,20}, {2,13}, {6,18}, {1,29}, {7,30}, {8,17}, {3,39}, {3,32}, {4,35}, {7,16}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {5,30}, {6,46}, {8,11}, {5,24}, {4,48}, {5,46}, {1,45}, {8,13}, {1,9}, {5,48}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {5,42}, {7,31}, {6,15}, {5,41}, {4,36}, {2,17}, {7,47}, {5,12}, {8,32}, {1,42}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {5,44}, {6,26}, {8,40}, {3,23}, {8,23}, {5,36}, {1,25}, {6,19}, {1,46}, {6,9}, {6,41}, {6,14}, {2,11}, {1,37}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {2,22}, {1,16}, {3,48}, {8,24}, {2,47}, {6,25}, {6,38}, {2,31}, {6,34}, {6,10}, {5,10}, {5,26}, {3,42}, {5,9}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {1,41}, {5,45}, {1,48}, {3,31}, {7,24}, {1,14}, {6,39}, {6,37}, {3,47}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {4,44}, {7,42}, {8,29}, {4,32}, {1,36}, {7,18}, {5,16} }; // ETB48.190 // Bipartite(12,36) Valencies [30,10] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1036800 EdgesBipt[48][190]:={ {7,48}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {9,17}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {8,26}, {1,40}, {11,43}, {6,15}, {8,40}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {2,18}, {1,21}, {3,21}, {6,48}, {5,32}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {10,48}, {2,33}, {6,32}, {4,38}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {10,17}, {12,28}, {12,48}, {4,24}, {4,43}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {12,20}, {5,41}, {12,38}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {12,31}, {12,40}, {10,20}, {2,48}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {7,19}, {2,44}, {1,30}, {2,13}, {12,15}, {8,15}, {12,47}, {6,36}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {3,44}, {4,47}, {11,44}, {3,25}, {7,35}, {11,13}, {11,46}, {2,43}, {12,30}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,30}, {5,39}, {12,18}, {2,16}, {8,34}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {10,25}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {9,41}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {8,32}, {7,24}, {9,24}, {10,28}, {2,19}, {6,20}, {4,44}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {1,45}, {11,30}, {9,28}, {3,34}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {1,33}, {3,45}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {5,18}, {11,20}, {10,27}, {10,34}, {3,40}, {7,17}, {8,35}, {10,45}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {1,46}, {8,39}, {7,13}, {9,42}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {4,48}, {2,32}, {6,33}, {12,21}, {2,14}, {9,48}, {5,48}, {5,33}, {11,38}, {9,37}, {6,40} }; // ETB48.191 // Bipartite(12,36) Valencies [30,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6419592322744320000000 EdgesBipt[48][191]:={ {7,48}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {4,28}, {5,45}, {3,26}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {6,32}, {4,38}, {11,29}, {11,35}, {11,17}, {11,27}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {12,48}, {4,43}, {8,30}, {8,13}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,48}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {5,28}, {8,18}, {3,47}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {12,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {1,47}, {2,24}, {11,23}, {3,24}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,19}, {4,47}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {11,46}, {2,43}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,30}, {5,39}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {5,40}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {4,14}, {4,15}, {1,48}, {9,41}, {7,39}, {3,41}, {4,29}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {5,46}, {3,48}, {3,33}, {1,45}, {10,15}, {11,30}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {12,36}, {3,45}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {4,25}, {10,41}, {7,31}, {12,33}, {5,47}, {12,39}, {8,14}, {3,15}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {5,21}, {7,42}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,18}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {9,27}, {5,42}, {2,38}, {12,32}, {10,43}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {7,13}, {9,42}, {9,14}, {5,36}, {10,14}, {10,32}, {4,39}, {7,36}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {9,48}, {5,48}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.192 // Bipartite(16,32) Valencies [30,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1371195958099968000 EdgesBipt[48][192]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {15,17}, {4,46}, {10,17}, {3,29}, {9,18}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {2,24}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {6,19}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {10,48}, {8,21}, {14,23}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {14,36}, {7,42}, {6,43}, {12,47}, {7,29}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {6,32}, {15,31}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {4,48}, {11,30}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {12,43}, {1,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.193 // Bipartite(18,30) Valencies [30,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1698247935030727354192489661307750973440000000000 EdgesBipt[48][193]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {17,48}, {2,45}, {1,42}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.194 // Bipartite(17,31) Valencies [31,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2924760332552919332220398861141126676480000000000 EdgesBipt[48][194]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {17,48}, {2,45}, {1,42}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.195 // Bipartite(16,32) Valencies [32,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5505431214217259919473691973912709038080000000000 EdgesBipt[48][195]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {14,36}, {7,42}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {4,19}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.196 // Bipartite(4,44) Valencies [33,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60930411873673404638822400000000 EdgesBipt[48][196]:={ {4,35}, {3,15}, {2,38}, {2,22}, {3,38}, {3,7}, {3,46}, {4,8}, {4,27}, {2,11}, {4,48}, {1,46}, {1,40}, {4,40}, {1,25}, {4,16}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {1,44}, {3,30}, {4,44}, {1,32}, {3,10}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,48}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {1,22}, {1,16}, {3,40}, {2,17}, {4,33}, {4,28}, {3,14}, {2,13}, {1,12}, {4,29}, {3,22}, {4,43}, {3,23}, {4,45}, {4,31}, {2,42}, {3,27}, {2,34}, {4,21}, {4,36}, {2,35}, {4,17}, {3,47}, {2,9}, {4,15}, {4,25}, {1,26}, {4,11}, {3,42}, {2,27}, {2,43}, {3,35}, {2,21}, {2,46}, {2,39}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {1,14}, {1,41}, {3,44}, {4,32}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {2,26}, {3,8}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {4,9}, {2,7}, {3,43}, {4,41}, {4,47}, {1,45}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,48}, {1,18}, {4,19}, {2,5}, {4,24}, {1,24}, {2,45} }; // ETB48.197 // Bipartite(12,36) Valencies [33,11] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1042682221795737600 EdgesBipt[48][197]:={ {7,48}, {6,38}, {11,40}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {5,32}, {1,35}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {10,48}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {6,36}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {3,44}, {4,47}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {5,39}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {7,23}, {12,45}, {4,34}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {12,36}, {3,45}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {8,14}, {11,31}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {11,37}, {2,47}, {11,28}, {7,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {4,48}, {6,33}, {12,21}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB48.198 // Bipartite(15,33) Valencies [33,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11354951879323098583914489696194962391040000000000 EdgesBipt[48][198]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.199 // Bipartite(14,34) Valencies [34,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 25737890926465690123539509978041914753024000000000 EdgesBipt[48][199]:={ {13,25}, {3,42}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {9,23}, {3,35}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {10,15}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.200 // Bipartite(6,42) Valencies [35,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11800915893414789120000000 EdgesBipt[48][200]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {5,17}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,26}, {3,8}, {4,16}, {1,10}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {3,45}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {4,19}, {4,31}, {2,19}, {1,19}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {3,7}, {4,38}, {6,21}, {2,25}, {5,40}, {6,31}, {6,40}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {5,22}, {4,22}, {1,18}, {3,14}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {6,8}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {6,12}, {4,47}, {6,30}, {6,43}, {4,33}, {5,23}, {4,21}, {3,20}, {2,13}, {2,20}, {6,18}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {6,46}, {5,24}, {5,46}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {6,15}, {2,17}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {1,46}, {6,9}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {4,37}, {6,42}, {4,40}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,27}, {5,10}, {5,26}, {3,42}, {5,9}, {4,25}, {3,38}, {4,11}, {4,20}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {2,12}, {2,8}, {5,15}, {6,39}, {6,37}, {3,47}, {6,20}, {5,21}, {2,30}, {6,13}, {2,18}, {5,35}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB48.201 // Bipartite(8,40) Valencies [35,7] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1733686198272000000000 EdgesBipt[48][201]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {5,45}, {8,26}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {6,32}, {4,38}, {1,12}, {1,20}, {8,16}, {2,34}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {8,37}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {7,33}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {8,19}, {3,38}, {1,18}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {3,22}, {1,44}, {4,14}, {4,15}, {6,23}, {7,39}, {3,41}, {4,29}, {6,43}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {7,40}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {4,46}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {8,14}, {7,10}, {3,15}, {7,25}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {8,25}, {2,42}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB48.202 // Bipartite(13,35) Valencies [35,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 64344727316164225308848774945104786882560000000000 EdgesBipt[48][202]:={ {13,25}, {3,42}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {10,14}, {1,42}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {12,41}, {5,42}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {12,47}, {7,29}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {13,36}, {3,35}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {11,14}, {9,48}, {13,20}, {13,21}, {2,43}, {3,38}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {13,14}, {6,21}, {9,15}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {10,15}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB48.203 // Bipartite(12,36) Valencies [36,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 178185398721685547009119684463367102136320000000000 EdgesBipt[48][203]:={ {7,48}, {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {10,48}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,48}, {2,15}, {12,23}, {5,37}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {12,47}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {12,41}, {3,44}, {4,47}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {12,36}, {3,45}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {2,42}, {4,48}, {2,32}, {6,33}, {12,21}, {2,14}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.204 // Bipartite(11,37) Valencies [37,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 549404979391863769944785693762048564920320000000000 EdgesBipt[48][204]:={ {7,48}, {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {8,26}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {2,33}, {6,32}, {4,38}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {3,44}, {4,47}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {3,45}, {3,14}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {5,47}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {11,12}, {7,26}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB48.205 // Bipartite(10,38) Valencies [38,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1897944474262802114354714214814349587906560000000000 EdgesBipt[48][205]:={ {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {4,46}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB48.206 // Bipartite(9,39) Valencies [39,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7401983449624928245983385437775963392835584000000000 EdgesBipt[48][206]:={ {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB48.207 // Bipartite(8,40) Valencies [40,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32897704220555236648815046390115392857047040000000000 EdgesBipt[48][207]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB48.208 // Bipartite(7,41) Valencies [41,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 168600734130345587825177112749341388392366080000000000 EdgesBipt[48][208]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB48.209 // Bipartite(6,42) Valencies [42,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1011604404782073526951062676496048330354196480000000000 EdgesBipt[48][209]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {2,45}, {4,38}, {6,21}, {6,47}, {3,34}, {2,25}, {5,40}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {6,12}, {4,47}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {6,18}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {6,46}, {5,24}, {4,48}, {5,7}, {5,46}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {1,46}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {6,38}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {3,47}, {5,19}, {6,20}, {2,30}, {5,21}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB48.210 // Bipartite(5,43) Valencies [43,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7249831567604860276482615848221679700871741440000000000 EdgesBipt[48][210]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {5,16} }; // ETB48.211 // Bipartite(4,44) Valencies [44,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 63798517794922770433047019464350781367671324672000000000 EdgesBipt[48][211]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {4,27}, {2,46}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {2,13}, {2,20}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {3,47}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36} }; // ETB48.212 // Bipartite(3,45) Valencies [45,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 717733325192881167371778968973946290386302402560000000000 EdgesBipt[48][212]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {3,28}, {3,26}, {3,24}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB48.213 // Bipartite(2,46) Valencies [46,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11005244319624177899700610857600509785923303505920000000000 EdgesBipt[48][213]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,42}, {2,6}, {1,14}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB48.214 // Bipartite(1,47) Valencies [47,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 258623241511168180642964355153611979969197632389120000000000 EdgesBipt[48][214]:={ {1,26}, {1,47}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 48 is 214 // ******************************************************************************************** // Order 49 // ETB49.1 // Bipartite(21,28) Valencies [4,3] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 168 EdgesBipt[49][1]:={ {12,38}, {6,41}, {19,23}, {1,47}, {4,23}, {6,34}, {14,31}, {10,43}, {5,37}, {5,24}, {5,29}, {20,22}, {2,24}, {15,47}, {17,47}, {6,26}, {18,42}, {5,40}, {21,44}, {3,33}, {8,25}, {11,29}, {9,44}, {12,32}, {6,30}, {10,36}, {1,31}, {10,45}, {3,29}, {17,35}, {15,48}, {7,30}, {7,36}, {20,46}, {8,32}, {21,37}, {3,44}, {16,40}, {8,33}, {11,46}, {7,48}, {20,45}, {4,27}, {13,39}, {9,27}, {14,43}, {14,35}, {21,28}, {17,36}, {21,25}, {14,46}, {16,49}, {12,24}, {4,48}, {3,26}, {18,31}, {9,34}, {7,38}, {12,26}, {4,28}, {16,38}, {9,22}, {2,42}, {18,37}, {19,43}, {15,34}, {18,23}, {16,28}, {19,40}, {11,41}, {8,49}, {17,32}, {11,39}, {2,35}, {13,27}, {2,41}, {1,22}, {15,42}, {13,30}, {20,33}, {13,45}, {1,25}, {10,49}, {19,39} }; // ETB49.2 // Bipartite(21,28) Valencies [4,3] // Diameter 5 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[49][2]:={ {14,39}, {11,43}, {19,45}, {6,48}, {16,36}, {12,49}, {18,40}, {9,30}, {8,36}, {10,38}, {4,40}, {2,47}, {13,48}, {13,34}, {5,41}, {16,23}, {7,27}, {1,44}, {14,42}, {13,43}, {17,42}, {20,43}, {13,46}, {5,26}, {2,29}, {11,45}, {19,37}, {20,25}, {8,22}, {8,44}, {3,41}, {17,31}, {5,23}, {4,37}, {2,31}, {10,39}, {3,22}, {14,45}, {15,35}, {4,30}, {21,33}, {7,49}, {5,28}, {12,29}, {9,25}, {1,35}, {11,26}, {6,29}, {17,49}, {18,35}, {9,48}, {9,33}, {15,31}, {18,28}, {8,38}, {20,44}, {21,22}, {3,24}, {12,36}, {14,47}, {21,23}, {1,42}, {15,27}, {7,32}, {3,25}, {2,26}, {10,32}, {17,38}, {12,41}, {18,47}, {1,33}, {21,40}, {20,39}, {6,24}, {16,37}, {4,34}, {6,27}, {10,46}, {7,34}, {15,30}, {16,32}, {11,24}, {19,28}, {19,46} }; // ETB49.3 // Bipartite(21,28) Valencies [4,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5505024 EdgesBipt[49][3]:={ {15,35}, {18,35}, {20,42}, {10,27}, {6,34}, {17,34}, {19,29}, {5,37}, {6,39}, {5,48}, {8,31}, {15,36}, {2,29}, {21,23}, {2,24}, {14,26}, {17,47}, {18,49}, {21,38}, {2,43}, {1,36}, {4,40}, {13,25}, {16,31}, {3,33}, {13,26}, {11,37}, {4,31}, {11,23}, {16,45}, {9,47}, {8,46}, {8,32}, {5,23}, {21,37}, {3,44}, {7,32}, {20,27}, {13,40}, {21,24}, {12,39}, {4,45}, {3,47}, {12,36}, {11,46}, {2,38}, {13,39}, {11,32}, {20,28}, {9,33}, {10,41}, {14,43}, {3,30}, {17,48}, {6,48}, {18,30}, {9,42}, {7,49}, {14,40}, {20,41}, {7,35}, {10,24}, {1,27}, {12,25}, {19,43}, {12,22}, {16,28}, {19,30}, {6,25}, {5,34}, {17,33}, {18,44}, {10,38}, {16,42}, {14,29}, {4,26}, {1,41}, {1,22}, {19,44}, {9,28}, {15,49}, {7,46}, {8,45}, {15,22} }; // ETB49.4 // Bipartite(21,28) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[49][4]:={ {10,25}, {6,32}, {18,39}, {13,40}, {21,48}, {16,33}, {15,24}, {16,26}, {18,29}, {3,40}, {16,27}, {18,46}, {21,32}, {21,47}, {2,23}, {8,43}, {3,45}, {1,27}, {19,24}, {10,23}, {7,41}, {17,34}, {4,31}, {15,44}, {12,42}, {21,42}, {19,48}, {12,34}, {18,41}, {5,32}, {20,30}, {17,46}, {8,31}, {13,29}, {12,37}, {16,29}, {18,34}, {10,22}, {6,22}, {15,25}, {16,30}, {6,47}, {10,48}, {14,33}, {2,36}, {4,22}, {3,49}, {9,29}, {10,47}, {15,32}, {19,30}, {2,38}, {5,43}, {12,44}, {14,40}, {7,39}, {9,41}, {5,25}, {2,39}, {15,26}, {11,22}, {4,45}, {7,43}, {14,24}, {11,31}, {10,28}, {17,33}, {11,44}, {19,38}, {4,47}, {21,26}, {10,31}, {9,42}, {13,49}, {2,48}, {3,39}, {18,44}, {19,42}, {6,33}, {13,33}, {11,23}, {1,23}, {13,44}, {17,30}, {19,41}, {6,46}, {9,37}, {12,47}, {5,46}, {12,28}, {12,25}, {15,37}, {5,49}, {1,45}, {8,35}, {13,28}, {18,27}, {1,28}, {3,27}, {14,37}, {4,43}, {1,43}, {8,37}, {21,38}, {4,36}, {16,45}, {5,31}, {1,49}, {8,40}, {14,49}, {16,44}, {17,41}, {19,36}, {14,25}, {20,35}, {13,26}, {7,23}, {6,36}, {3,30}, {5,33}, {20,26}, {11,37}, {11,27}, {10,27}, {20,34}, {6,45}, {18,22}, {14,32}, {8,24}, {4,49}, {2,40}, {20,36}, {20,47}, {15,38}, {15,28}, {16,39}, {9,39}, {13,38}, {12,48}, {17,45}, {4,25}, {3,38}, {3,28}, {20,41}, {8,46}, {1,48}, {7,24}, {21,34}, {9,46}, {17,26}, {11,34}, {19,35}, {7,35}, {17,22}, {21,24}, {2,30}, {5,35}, {9,31}, {2,43}, {6,35}, {11,42}, {7,40}, {7,42}, {20,32}, {9,23}, {8,29}, {1,36}, {14,29} }; // ETB49.5 // Bipartite(21,28) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[49][5]:={ {6,48}, {8,48}, {3,33}, {6,32}, {17,44}, {11,35}, {5,34}, {15,24}, {12,45}, {17,47}, {10,37}, {8,30}, {16,40}, {21,32}, {2,23}, {12,22}, {7,38}, {8,42}, {8,28}, {19,44}, {16,31}, {21,37}, {20,27}, {1,27}, {12,38}, {19,24}, {9,44}, {12,39}, {12,41}, {21,42}, {5,47}, {21,35}, {2,26}, {8,39}, {11,41}, {16,25}, {2,41}, {13,29}, {16,29}, {16,43}, {2,45}, {4,38}, {3,34}, {5,40}, {14,23}, {11,38}, {14,33}, {2,36}, {9,48}, {3,49}, {9,29}, {19,40}, {9,32}, {16,24}, {19,30}, {9,27}, {4,41}, {19,22}, {15,26}, {20,31}, {17,33}, {10,29}, {15,42}, {10,40}, {12,43}, {7,30}, {3,39}, {13,31}, {9,25}, {15,41}, {13,33}, {7,26}, {19,42}, {18,43}, {1,23}, {14,47}, {6,44}, {12,47}, {5,46}, {8,22}, {17,48}, {18,24}, {10,42}, {18,26}, {1,28}, {14,37}, {18,47}, {4,43}, {21,31}, {10,45}, {20,43}, {6,23}, {4,46}, {21,33}, {15,36}, {13,36}, {5,28}, {16,49}, {18,31}, {12,33}, {13,30}, {7,47}, {19,46}, {16,45}, {14,22}, {17,25}, {11,39}, {5,44}, {1,49}, {6,26}, {20,23}, {18,25}, {10,32}, {1,39}, {20,25}, {1,46}, {20,46}, {7,29}, {6,41}, {9,30}, {13,27}, {1,37}, {7,28}, {20,37}, {14,45}, {4,40}, {10,35}, {6,36}, {11,37}, {2,29}, {18,28}, {4,34}, {3,48}, {15,22}, {11,32}, {8,24}, {6,25}, {10,49}, {20,24}, {2,40}, {8,49}, {5,26}, {13,38}, {9,38}, {17,45}, {3,28}, {7,27}, {15,23}, {21,36}, {1,48}, {3,31}, {21,34}, {14,46}, {13,34}, {7,35}, {17,22}, {11,43}, {15,30}, {19,34}, {5,35}, {17,32}, {11,42}, {3,36}, {4,39}, {18,35}, {4,44}, {14,27}, {2,49} }; // ETB49.6 // Bipartite(21,28) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[49][6]:={ {2,44}, {16,41}, {10,25}, {10,24}, {9,28}, {11,36}, {17,36}, {21,45}, {21,48}, {4,24}, {4,26}, {3,22}, {21,40}, {15,46}, {4,30}, {16,27}, {7,48}, {9,45}, {16,47}, {18,38}, {8,33}, {10,23}, {20,40}, {10,26}, {14,38}, {10,33}, {12,42}, {3,35}, {19,47}, {14,31}, {19,48}, {21,43}, {12,35}, {7,36}, {13,47}, {12,34}, {1,30}, {14,28}, {9,35}, {8,44}, {17,46}, {8,31}, {8,27}, {18,34}, {15,25}, {18,37}, {15,45}, {15,29}, {6,47}, {3,46}, {6,40}, {5,22}, {10,38}, {17,37}, {15,32}, {5,29}, {8,41}, {11,49}, {2,37}, {7,46}, {9,41}, {5,25}, {7,32}, {17,39}, {11,22}, {4,45}, {7,43}, {14,24}, {11,31}, {2,35}, {11,44}, {21,27}, {19,38}, {20,33}, {18,49}, {4,33}, {9,34}, {6,49}, {13,49}, {2,48}, {17,43}, {18,30}, {3,32}, {6,33}, {18,44}, {16,32}, {11,29}, {6,24}, {13,44}, {17,30}, {12,25}, {15,34}, {1,45}, {13,25}, {14,41}, {20,22}, {4,28}, {3,29}, {1,43}, {8,37}, {8,26}, {5,42}, {9,22}, {5,41}, {20,29}, {12,27}, {1,42}, {12,23}, {5,31}, {6,27}, {8,40}, {12,40}, {20,39}, {3,23}, {14,49}, {21,30}, {17,29}, {1,25}, {11,46}, {19,36}, {18,23}, {10,39}, {20,48}, {13,42}, {19,49}, {5,39}, {20,35}, {4,37}, {6,42}, {13,26}, {16,36}, {20,26}, {3,24}, {2,22}, {14,44}, {10,34}, {14,32}, {19,43}, {1,47}, {6,38}, {2,31}, {16,42}, {11,47}, {5,27}, {16,46}, {18,45}, {15,28}, {12,48}, {3,38}, {13,37}, {7,24}, {15,39}, {17,26}, {7,33}, {19,35}, {13,39}, {2,30}, {9,31}, {1,34}, {19,23}, {21,41}, {2,43}, {21,28}, {16,28}, {7,40}, {9,23}, {4,32}, {1,36} }; // ETB49.7 // Bipartite(21,28) Valencies [8,6] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17974858503684096 EdgesBipt[49][7]:={ {6,48}, {8,48}, {2,44}, {10,24}, {13,32}, {9,28}, {6,32}, {17,36}, {21,45}, {11,35}, {4,26}, {3,22}, {21,40}, {17,38}, {21,47}, {2,23}, {8,43}, {12,32}, {7,38}, {19,44}, {20,27}, {3,45}, {1,27}, {3,43}, {14,38}, {9,44}, {12,39}, {9,49}, {15,48}, {14,31}, {17,24}, {15,43}, {2,28}, {5,32}, {16,23}, {9,35}, {8,27}, {12,37}, {2,42}, {10,22}, {18,42}, {11,28}, {16,30}, {15,29}, {11,33}, {14,33}, {10,38}, {19,30}, {8,41}, {12,46}, {11,49}, {2,37}, {12,44}, {14,40}, {4,42}, {5,25}, {14,24}, {2,35}, {1,22}, {15,27}, {4,47}, {18,49}, {4,33}, {5,23}, {10,29}, {21,26}, {10,31}, {9,42}, {16,37}, {17,43}, {1,29}, {4,35}, {15,41}, {8,36}, {7,26}, {5,30}, {14,47}, {6,46}, {9,37}, {5,46}, {12,25}, {8,22}, {15,34}, {13,25}, {18,26}, {18,47}, {4,28}, {21,31}, {10,45}, {18,33}, {3,29}, {1,43}, {21,33}, {15,36}, {21,38}, {16,49}, {17,31}, {7,31}, {10,43}, {7,47}, {19,46}, {12,23}, {6,27}, {5,44}, {20,39}, {12,30}, {17,29}, {20,25}, {16,44}, {20,46}, {6,41}, {9,30}, {13,27}, {13,46}, {20,48}, {5,39}, {19,32}, {11,26}, {14,45}, {4,40}, {8,34}, {3,24}, {16,35}, {18,28}, {20,34}, {10,36}, {15,22}, {13,48}, {19,39}, {13,41}, {6,25}, {4,49}, {11,40}, {16,42}, {6,34}, {11,47}, {19,25}, {17,45}, {3,38}, {20,41}, {7,45}, {1,41}, {1,48}, {7,24}, {3,31}, {18,40}, {6,39}, {7,33}, {13,34}, {17,22}, {13,39}, {21,24}, {2,30}, {19,23}, {1,34}, {5,37}, {11,42}, {3,36}, {18,35}, {16,28}, {7,40}, {9,23}, {19,37}, {20,32}, {8,29}, {1,36}, {2,49}, {14,26} }; // ETB49.8 // Bipartite(21,28) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23115815976960 EdgesBipt[49][8]:={ {2,44}, {16,41}, {6,32}, {17,44}, {17,36}, {11,35}, {5,34}, {13,40}, {21,48}, {4,24}, {15,24}, {16,27}, {11,25}, {8,30}, {21,32}, {2,23}, {9,45}, {18,38}, {15,31}, {4,29}, {3,45}, {1,27}, {3,25}, {7,44}, {14,38}, {9,44}, {4,31}, {12,41}, {19,47}, {14,31}, {8,39}, {15,47}, {8,25}, {13,47}, {2,28}, {12,34}, {16,23}, {8,44}, {13,29}, {2,42}, {10,22}, {18,42}, {11,28}, {16,30}, {19,28}, {15,45}, {19,33}, {4,38}, {6,47}, {3,46}, {6,40}, {21,46}, {4,22}, {19,40}, {17,37}, {19,26}, {15,40}, {11,49}, {2,37}, {17,23}, {15,26}, {4,45}, {10,28}, {14,24}, {2,35}, {1,22}, {21,27}, {18,49}, {10,29}, {13,22}, {16,37}, {17,43}, {1,29}, {7,30}, {3,39}, {3,32}, {13,33}, {14,48}, {6,33}, {7,26}, {19,42}, {13,43}, {17,30}, {6,46}, {21,25}, {9,37}, {12,47}, {5,49}, {5,48}, {18,24}, {10,42}, {14,41}, {20,22}, {4,43}, {20,43}, {16,48}, {1,43}, {8,37}, {5,28}, {13,36}, {18,31}, {5,42}, {12,26}, {12,33}, {10,43}, {4,36}, {5,41}, {21,39}, {7,47}, {20,29}, {12,27}, {8,32}, {11,39}, {6,26}, {12,40}, {20,39}, {14,34}, {8,23}, {17,29}, {20,25}, {11,46}, {16,44}, {20,46}, {9,30}, {19,49}, {16,34}, {13,26}, {14,45}, {10,35}, {7,23}, {3,24}, {18,28}, {10,36}, {11,32}, {15,33}, {6,25}, {10,49}, {20,36}, {5,27}, {15,38}, {18,45}, {12,48}, {9,38}, {3,38}, {8,46}, {1,41}, {1,48}, {3,31}, {21,34}, {9,24}, {6,39}, {7,33}, {19,35}, {17,22}, {2,30}, {7,37}, {5,35}, {9,31}, {1,34}, {21,41}, {11,42}, {18,35}, {7,40}, {9,23}, {20,32}, {14,27}, {1,36}, {2,49} }; // ETB49.9 // Bipartite(21,28) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5505024 EdgesBipt[49][9]:={ {2,44}, {21,23}, {3,33}, {10,25}, {10,24}, {17,44}, {17,36}, {2,46}, {11,35}, {5,34}, {13,40}, {18,48}, {15,24}, {18,29}, {4,26}, {3,22}, {21,40}, {3,40}, {12,45}, {17,47}, {4,30}, {21,32}, {12,32}, {15,49}, {21,37}, {4,29}, {20,27}, {1,32}, {1,27}, {12,38}, {7,41}, {7,22}, {9,49}, {3,37}, {13,35}, {19,47}, {14,31}, {8,39}, {21,43}, {16,25}, {7,36}, {10,44}, {8,25}, {13,47}, {14,28}, {9,35}, {12,37}, {16,29}, {18,34}, {11,28}, {16,43}, {10,30}, {2,45}, {16,30}, {19,28}, {19,33}, {6,47}, {11,38}, {6,31}, {21,46}, {9,48}, {5,22}, {10,38}, {15,40}, {12,46}, {11,49}, {7,46}, {19,22}, {5,25}, {17,39}, {7,32}, {15,26}, {11,31}, {17,33}, {6,30}, {4,47}, {18,49}, {4,33}, {21,26}, {10,31}, {9,34}, {13,49}, {1,29}, {9,25}, {8,36}, {6,33}, {2,32}, {13,33}, {19,42}, {18,43}, {6,44}, {17,30}, {19,41}, {15,35}, {15,37}, {14,42}, {8,22}, {5,48}, {20,28}, {13,28}, {18,26}, {14,41}, {4,43}, {10,45}, {16,48}, {1,43}, {3,26}, {8,37}, {5,41}, {12,23}, {11,24}, {17,25}, {20,49}, {21,29}, {3,23}, {8,23}, {5,36}, {1,46}, {16,44}, {19,36}, {6,28}, {10,39}, {20,48}, {13,42}, {16,34}, {5,39}, {20,35}, {13,26}, {6,42}, {14,45}, {4,40}, {7,23}, {2,29}, {6,45}, {8,38}, {20,34}, {14,32}, {8,24}, {20,42}, {2,31}, {5,27}, {15,38}, {16,39}, {9,39}, {9,38}, {11,45}, {12,24}, {7,27}, {20,41}, {15,23}, {1,41}, {1,48}, {9,24}, {18,40}, {14,46}, {12,31}, {3,47}, {17,22}, {2,30}, {7,37}, {1,34}, {2,43}, {11,42}, {3,36}, {18,35}, {4,44}, {14,27}, {19,27} }; // ETB49.10 // Bipartite(14,35) Valencies [10,4] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 642105999360000000 EdgesBipt[49][10]:={ {1,15}, {4,35}, {7,19}, {13,25}, {13,41}, {5,32}, {6,39}, {6,48}, {3,15}, {1,43}, {4,42}, {10,22}, {6,18}, {12,39}, {9,30}, {3,29}, {3,38}, {5,30}, {9,42}, {11,33}, {7,40}, {12,16}, {13,18}, {8,36}, {6,41}, {7,24}, {10,38}, {10,43}, {4,40}, {14,19}, {11,42}, {7,38}, {4,49}, {7,33}, {2,37}, {13,48}, {13,34}, {6,32}, {7,31}, {6,25}, {7,45}, {13,27}, {9,21}, {12,18}, {9,37}, {8,34}, {3,45}, {2,28}, {12,25}, {3,31}, {10,45}, {6,34}, {13,46}, {4,26}, {8,41}, {13,20}, {5,37}, {1,29}, {8,22}, {11,49}, {8,15}, {1,34}, {12,30}, {14,33}, {5,23}, {12,46}, {2,23}, {10,36}, {7,26}, {1,36}, {6,46}, {2,16}, {1,22}, {4,33}, {4,28}, {10,15}, {7,47}, {10,31}, {3,22}, {9,23}, {10,24}, {14,45}, {14,38}, {11,28}, {2,42}, {14,26}, {4,21}, {2,35}, {10,29}, {11,26}, {2,44}, {9,49}, {12,23}, {9,44}, {14,17}, {12,44}, {5,46}, {2,21}, {8,27}, {9,35}, {11,19}, {14,31}, {8,43}, {13,32}, {9,28}, {11,40}, {3,24}, {2,49}, {8,20}, {14,47}, {6,20}, {11,21}, {10,17}, {1,41}, {1,20}, {1,27}, {8,48}, {12,32}, {14,40}, {3,36}, {3,17}, {11,47}, {5,18}, {3,43}, {6,27}, {4,47}, {5,44}, {9,16}, {7,17}, {5,16}, {5,39}, {11,35}, {12,37}, {2,30}, {1,48}, {5,25}, {4,19}, {14,24}, {8,29}, {13,39} }; // ETB49.11 // Bipartite(7,42) Valencies [12,2] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1404285820600320000000 EdgesBipt[49][11]:={ {3,22}, {2,14}, {6,41}, {7,47}, {2,44}, {5,32}, {6,34}, {2,37}, {5,37}, {4,47}, {6,39}, {1,29}, {2,30}, {7,31}, {7,12}, {1,43}, {1,36}, {6,46}, {4,40}, {5,11}, {3,38}, {1,20}, {3,8}, {5,46}, {3,24}, {4,49}, {7,33}, {5,44}, {3,29}, {6,32}, {2,21}, {5,9}, {7,45}, {5,16}, {5,23}, {4,12}, {4,33}, {2,16}, {5,25}, {1,15}, {7,10}, {7,40}, {3,15}, {6,20}, {3,17}, {4,21}, {6,27}, {6,48}, {3,31}, {5,30}, {2,49}, {7,38}, {1,27}, {4,28}, {5,39}, {7,19}, {1,48}, {6,18}, {3,45}, {2,28}, {2,42}, {5,18}, {6,25}, {2,23}, {1,8}, {1,13}, {2,35}, {2,9}, {7,17}, {6,11}, {4,26}, {1,41}, {1,22}, {4,14}, {4,35}, {1,34}, {4,42}, {4,19}, {6,13}, {7,24}, {3,10}, {3,36}, {3,43}, {7,26} }; // ETB49.12 // Bipartite(7,42) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10569646080 EdgesBipt[49][12]:={ {7,39}, {6,12}, {5,14}, {1,11}, {3,46}, {4,27}, {4,48}, {5,35}, {6,23}, {5,34}, {7,38}, {4,49}, {7,33}, {2,37}, {3,32}, {1,38}, {5,41}, {1,32}, {6,40}, {5,13}, {3,10}, {3,31}, {2,15}, {5,26}, {1,29}, {2,14}, {3,11}, {2,23}, {6,49}, {7,26}, {4,39}, {1,17}, {2,16}, {6,33}, {6,21}, {2,36}, {4,28}, {7,47}, {7,25}, {3,22}, {5,43}, {5,19}, {6,8}, {4,31}, {4,36}, {7,30}, {2,35}, {4,15}, {2,9}, {2,44}, {6,29}, {2,24}, {3,42}, {5,22}, {6,19}, {7,18}, {5,20}, {5,47}, {3,21}, {1,41}, {7,9}, {6,42}, {1,20}, {1,27}, {3,16}, {4,18}, {3,25}, {7,46}, {3,37}, {6,44}, {3,43}, {4,34}, {1,45}, {7,17}, {1,8}, {7,12}, {4,13}, {2,30}, {1,48}, {4,10}, {5,40}, {1,24}, {2,45}, {6,28} }; // ETB49.13 // Bipartite(21,28) Valencies [12,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 215698302044209152 EdgesBipt[49][13]:={ {2,44}, {21,23}, {10,25}, {2,24}, {10,24}, {2,33}, {18,39}, {12,29}, {11,35}, {5,34}, {21,48}, {16,26}, {16,33}, {4,26}, {17,38}, {15,46}, {18,32}, {11,25}, {8,30}, {16,40}, {18,46}, {7,48}, {2,23}, {8,43}, {9,45}, {12,22}, {16,47}, {16,31}, {21,37}, {1,32}, {3,45}, {3,25}, {7,41}, {7,44}, {17,34}, {9,44}, {12,41}, {15,44}, {21,42}, {5,47}, {21,35}, {13,35}, {19,47}, {2,26}, {8,39}, {7,34}, {17,24}, {19,48}, {15,43}, {8,25}, {12,34}, {1,30}, {16,23}, {14,28}, {8,44}, {17,46}, {13,29}, {21,49}, {6,22}, {15,25}, {18,42}, {11,28}, {6,29}, {2,45}, {16,30}, {15,29}, {19,33}, {3,34}, {5,40}, {14,23}, {20,38}, {3,46}, {10,48}, {11,33}, {6,31}, {9,47}, {5,22}, {10,38}, {19,40}, {19,26}, {15,32}, {16,24}, {9,26}, {12,36}, {1,44}, {5,29}, {2,38}, {11,49}, {2,37}, {5,43}, {19,29}, {14,30}, {19,22}, {4,42}, {17,39}, {10,41}, {7,49}, {20,31}, {1,22}, {21,27}, {21,44}, {4,47}, {6,43}, {18,49}, {4,33}, {10,31}, {13,22}, {6,49}, {13,49}, {16,37}, {12,43}, {1,29}, {7,30}, {3,39}, {13,31}, {3,32}, {4,35}, {8,36}, {14,48}, {1,23}, {13,43}, {6,24}, {19,41}, {9,37}, {12,47}, {17,27}, {15,37}, {8,22}, {14,42}, {17,48}, {5,48}, {20,28}, {13,28}, {20,45}, {18,26}, {14,41}, {3,27}, {14,37}, {18,47}, {20,22}, {10,46}, {4,28}, {10,45}, {20,43}, {18,33}, {1,43}, {4,46}, {16,38}, {8,37}, {13,36}, {15,36}, {17,31}, {12,26}, {12,33}, {5,41}, {20,29}, {12,27}, {9,40}, {8,32}, {16,45}, {13,24}, {17,25}, {11,39}, {12,40}, {20,49}, {8,23}, {14,34}, {1,39}, {10,32}, {14,49}, {18,25}, {21,30}, {5,36}, {1,25}, {1,46}, {11,46}, {16,44}, {17,41}, {19,36}, {6,28}, {9,30}, {10,39}, {13,42}, {1,37}, {20,35}, {7,28}, {11,26}, {6,42}, {4,40}, {7,23}, {6,36}, {5,33}, {3,24}, {18,28}, {10,27}, {6,45}, {14,44}, {3,48}, {10,34}, {15,22}, {11,32}, {19,43}, {2,47}, {20,42}, {6,38}, {20,24}, {4,49}, {2,40}, {2,31}, {11,40}, {9,33}, {20,36}, {11,47}, {5,27}, {5,26}, {13,38}, {12,48}, {9,38}, {4,25}, {17,45}, {3,38}, {7,27}, {8,46}, {14,35}, {15,23}, {3,41}, {3,31}, {15,39}, {21,34}, {9,24}, {18,40}, {7,35}, {2,30}, {13,45}, {15,30}, {19,34}, {7,37}, {9,31}, {21,41}, {21,28}, {6,35}, {17,32}, {11,42}, {4,39}, {18,35}, {7,42}, {9,23}, {14,27}, {8,29}, {4,32}, {19,27}, {1,36} }; // ETB49.14 // Bipartite(21,28) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 192631799808 EdgesBipt[49][14]:={ {15,33}, {7,48}, {19,28}, {6,38}, {10,37}, {6,25}, {5,38}, {11,25}, {4,28}, {5,43}, {5,45}, {8,26}, {1,49}, {1,40}, {16,22}, {13,39}, {11,43}, {17,33}, {8,40}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {21,41}, {3,23}, {10,39}, {14,45}, {6,48}, {19,37}, {3,39}, {16,37}, {21,28}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {13,40}, {14,44}, {6,32}, {17,35}, {3,49}, {11,29}, {11,27}, {10,47}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {4,43}, {16,48}, {15,32}, {12,46}, {7,45}, {8,46}, {20,24}, {17,39}, {12,38}, {7,41}, {7,27}, {12,42}, {6,39}, {11,39}, {12,31}, {13,24}, {2,48}, {12,23}, {20,39}, {5,37}, {1,36}, {19,42}, {12,37}, {16,34}, {6,46}, {16,43}, {10,35}, {15,45}, {18,39}, {13,26}, {17,47}, {6,24}, {2,29}, {18,47}, {1,26}, {2,36}, {8,49}, {13,41}, {16,40}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {4,22}, {18,36}, {18,33}, {3,38}, {19,46}, {5,28}, {20,41}, {14,35}, {3,47}, {12,24}, {19,38}, {1,31}, {11,22}, {6,27}, {2,30}, {11,42}, {14,34}, {19,23}, {20,25}, {2,44}, {21,45}, {14,28}, {16,29}, {11,36}, {3,30}, {13,48}, {1,47}, {3,24}, {10,38}, {11,33}, {18,22}, {13,25}, {21,31}, {8,47}, {4,41}, {9,26}, {8,45}, {2,23}, {9,22}, {3,44}, {4,47}, {3,25}, {19,24}, {21,42}, {7,35}, {19,45}, {2,43}, {4,33}, {1,22}, {7,34}, {10,44}, {18,25}, {9,30}, {14,27}, {7,28}, {17,44}, {15,46}, {17,30}, {10,30}, {16,30}, {12,45}, {10,25}, {15,35}, {17,38}, {12,29}, {16,26}, {15,40}, {13,38}, {15,49}, {7,49}, {4,36}, {4,29}, {9,44}, {1,32}, {19,29}, {8,32}, {5,31}, {17,25}, {20,48}, {16,44}, {21,49}, {5,23}, {20,32}, {12,43}, {2,26}, {18,41}, {9,23}, {8,36}, {5,46}, {3,33}, {16,36}, {13,32}, {1,45}, {4,27}, {19,43}, {18,28}, {5,24}, {2,22}, {11,47}, {18,27}, {1,33}, {2,37}, {4,42}, {5,29}, {4,25}, {14,30}, {21,34}, {7,31}, {8,33}, {20,27}, {21,35}, {15,47}, {14,49}, {21,44}, {13,34}, {11,41}, {6,26}, {21,27}, {7,42}, {6,41}, {17,24}, {16,23}, {21,48}, {19,32}, {18,43}, {20,34}, {11,28}, {10,24}, {14,42}, {8,35}, {2,40}, {15,22}, {14,41}, {17,37}, {5,42}, {12,32}, {15,36}, {15,31}, {7,44}, {9,40}, {20,40}, {17,23}, {10,23}, {15,26}, {9,43}, {1,46}, {3,37}, {9,34}, {13,46}, {4,39}, {14,48}, {18,42}, {17,49}, {9,48}, {10,49}, {9,37}, {6,40} }; // ETB49.15 // Bipartite(21,28) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 47029248 EdgesBipt[49][15]:={ {6,48}, {2,44}, {3,33}, {10,25}, {2,24}, {17,35}, {17,44}, {12,29}, {2,46}, {4,24}, {4,26}, {3,22}, {21,40}, {15,46}, {10,37}, {4,30}, {8,30}, {21,32}, {21,47}, {2,23}, {8,43}, {9,45}, {12,32}, {16,47}, {7,38}, {1,32}, {3,45}, {3,25}, {7,44}, {1,40}, {17,34}, {9,44}, {14,38}, {10,33}, {12,42}, {3,35}, {9,43}, {3,37}, {14,31}, {8,39}, {7,34}, {21,43}, {12,35}, {7,36}, {15,43}, {10,44}, {1,30}, {5,32}, {16,23}, {14,28}, {20,30}, {4,23}, {13,29}, {16,29}, {10,22}, {18,42}, {11,28}, {16,43}, {18,37}, {6,29}, {2,45}, {15,45}, {3,34}, {20,38}, {10,48}, {11,33}, {6,31}, {1,38}, {14,33}, {2,36}, {9,48}, {9,47}, {4,22}, {9,29}, {17,37}, {14,36}, {19,26}, {15,32}, {16,24}, {12,36}, {15,40}, {5,29}, {8,41}, {12,46}, {11,49}, {12,49}, {2,37}, {19,29}, {8,45}, {14,40}, {4,42}, {5,25}, {2,39}, {7,32}, {15,26}, {10,41}, {11,22}, {7,43}, {20,31}, {17,33}, {1,22}, {21,27}, {21,44}, {3,44}, {6,30}, {4,47}, {18,49}, {4,33}, {5,23}, {6,49}, {13,49}, {2,48}, {16,37}, {13,31}, {18,30}, {15,41}, {19,42}, {11,23}, {6,24}, {14,47}, {11,30}, {15,35}, {9,37}, {17,27}, {5,46}, {12,25}, {5,49}, {8,22}, {1,45}, {17,48}, {13,25}, {18,24}, {20,28}, {8,35}, {10,42}, {13,28}, {18,26}, {19,31}, {3,27}, {18,47}, {4,28}, {21,31}, {10,45}, {18,33}, {16,48}, {1,43}, {21,33}, {21,38}, {8,26}, {5,42}, {12,26}, {7,31}, {13,30}, {7,47}, {20,29}, {12,27}, {19,46}, {8,32}, {16,45}, {12,23}, {5,31}, {11,24}, {13,24}, {17,25}, {8,40}, {20,39}, {20,49}, {14,34}, {1,39}, {20,25}, {5,36}, {1,46}, {16,44}, {17,41}, {19,36}, {6,41}, {6,28}, {18,23}, {1,35}, {20,48}, {19,49}, {7,28}, {19,32}, {4,37}, {11,26}, {4,40}, {10,35}, {16,36}, {11,37}, {2,29}, {18,28}, {10,27}, {8,38}, {20,34}, {1,26}, {14,44}, {3,48}, {10,34}, {15,22}, {18,22}, {13,48}, {14,32}, {2,47}, {6,25}, {13,41}, {6,38}, {20,24}, {4,49}, {11,40}, {9,36}, {6,34}, {11,47}, {5,27}, {14,43}, {15,38}, {19,25}, {5,26}, {16,46}, {3,42}, {16,39}, {9,39}, {13,38}, {17,45}, {7,27}, {20,41}, {8,46}, {1,41}, {21,36}, {3,41}, {15,39}, {21,34}, {9,24}, {18,40}, {9,46}, {6,39}, {7,33}, {12,31}, {13,34}, {17,42}, {19,35}, {13,39}, {17,22}, {15,30}, {5,35}, {19,23}, {2,43}, {21,28}, {11,42}, {7,40}, {9,23}, {14,27}, {19,27} }; // ETB49.16 // Bipartite(14,35) Valencies [15,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7705271992320000000 EdgesBipt[49][16]:={ {2,44}, {10,25}, {2,24}, {10,24}, {2,33}, {12,29}, {13,21}, {11,35}, {5,34}, {4,26}, {11,25}, {8,30}, {7,48}, {6,17}, {2,23}, {8,43}, {9,45}, {12,22}, {1,32}, {3,45}, {3,25}, {7,41}, {7,44}, {9,44}, {4,19}, {2,19}, {12,41}, {5,47}, {5,20}, {13,35}, {2,26}, {8,39}, {7,34}, {8,25}, {12,34}, {1,30}, {8,15}, {14,28}, {8,44}, {13,29}, {6,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {2,45}, {6,21}, {3,34}, {5,40}, {14,23}, {3,46}, {10,48}, {6,31}, {11,33}, {9,47}, {5,22}, {10,38}, {1,18}, {7,20}, {14,21}, {9,26}, {12,20}, {12,36}, {1,44}, {5,29}, {2,38}, {9,19}, {11,49}, {2,37}, {5,43}, {14,30}, {4,42}, {10,41}, {7,49}, {1,22}, {4,47}, {6,43}, {4,33}, {4,21}, {10,31}, {3,20}, {13,22}, {6,49}, {14,16}, {13,49}, {12,43}, {1,29}, {7,30}, {2,16}, {3,39}, {13,31}, {3,32}, {11,21}, {4,35}, {7,16}, {8,36}, {14,48}, {1,23}, {13,43}, {6,24}, {9,37}, {12,47}, {8,22}, {14,42}, {5,48}, {13,28}, {14,41}, {3,27}, {14,37}, {10,46}, {4,28}, {10,45}, {1,43}, {4,46}, {8,37}, {13,36}, {12,26}, {12,33}, {6,15}, {5,41}, {2,17}, {12,27}, {9,40}, {8,32}, {13,24}, {11,39}, {12,19}, {12,40}, {8,23}, {14,34}, {1,39}, {10,32}, {14,49}, {5,36}, {1,25}, {1,46}, {11,46}, {13,15}, {1,15}, {6,28}, {12,15}, {9,30}, {10,39}, {13,42}, {1,37}, {14,20}, {7,28}, {6,42}, {11,26}, {4,40}, {7,23}, {6,36}, {5,33}, {10,17}, {3,24}, {10,27}, {6,45}, {14,44}, {1,16}, {3,48}, {10,34}, {11,32}, {9,17}, {10,18}, {2,47}, {6,38}, {4,49}, {2,40}, {2,31}, {11,40}, {9,33}, {11,47}, {5,27}, {5,26}, {8,18}, {4,18}, {13,38}, {9,38}, {11,19}, {12,48}, {4,25}, {3,38}, {7,27}, {8,46}, {14,35}, {3,41}, {3,31}, {9,24}, {10,20}, {5,15}, {5,19}, {7,35}, {2,30}, {13,17}, {13,45}, {7,37}, {9,31}, {6,35}, {9,16}, {11,42}, {4,39}, {7,42}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {11,18}, {1,36} }; // ETB49.17 // Bipartite(14,35) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15049359360000000 EdgesBipt[49][17]:={ {6,48}, {2,44}, {3,33}, {2,24}, {11,20}, {9,28}, {2,33}, {6,32}, {11,36}, {4,27}, {12,29}, {13,21}, {5,34}, {4,24}, {3,40}, {12,45}, {8,30}, {2,23}, {9,45}, {12,22}, {12,32}, {1,32}, {3,45}, {8,33}, {12,38}, {10,26}, {9,44}, {14,38}, {12,39}, {4,31}, {2,19}, {9,49}, {10,33}, {5,20}, {13,35}, {2,26}, {14,31}, {8,39}, {11,41}, {8,25}, {1,30}, {9,35}, {14,28}, {8,44}, {13,16}, {10,15}, {10,22}, {3,17}, {8,16}, {2,45}, {4,38}, {6,21}, {3,34}, {11,33}, {5,22}, {8,19}, {1,18}, {10,47}, {14,21}, {14,36}, {12,17}, {12,36}, {1,44}, {4,41}, {5,29}, {2,38}, {8,47}, {12,46}, {2,37}, {5,43}, {7,46}, {7,39}, {7,32}, {11,15}, {4,45}, {7,49}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {5,23}, {10,29}, {3,20}, {6,49}, {10,21}, {9,42}, {13,49}, {6,18}, {10,40}, {12,43}, {1,29}, {2,16}, {7,26}, {14,15}, {1,23}, {11,29}, {13,44}, {5,30}, {6,46}, {9,37}, {4,48}, {13,23}, {12,25}, {14,42}, {5,48}, {10,42}, {13,28}, {3,27}, {1,43}, {3,26}, {4,46}, {8,37}, {8,26}, {13,30}, {5,41}, {2,17}, {10,43}, {7,47}, {14,17}, {8,32}, {3,19}, {14,22}, {6,27}, {5,44}, {8,40}, {8,23}, {1,39}, {14,49}, {5,36}, {1,25}, {1,46}, {6,41}, {1,15}, {6,28}, {12,15}, {9,30}, {13,27}, {13,42}, {1,37}, {7,28}, {6,42}, {11,26}, {14,45}, {10,35}, {3,24}, {11,27}, {4,34}, {10,36}, {1,16}, {3,48}, {9,17}, {13,48}, {2,47}, {6,25}, {10,49}, {13,41}, {2,40}, {2,31}, {11,40}, {6,34}, {11,47}, {5,27}, {14,43}, {8,18}, {4,18}, {9,38}, {11,19}, {10,19}, {4,25}, {3,38}, {4,20}, {11,48}, {12,24}, {8,46}, {14,35}, {13,37}, {3,41}, {3,31}, {9,24}, {6,39}, {5,15}, {7,33}, {12,31}, {3,47}, {11,34}, {13,34}, {6,20}, {7,35}, {11,43}, {2,30}, {13,20}, {9,31}, {5,37}, {7,19}, {4,17}, {6,35}, {9,21}, {9,16}, {4,39}, {7,40}, {7,42}, {9,23}, {7,21}, {4,32}, {12,18}, {1,36}, {14,29}, {7,18}, {5,16} }; // ETB49.18 // Bipartite(14,35) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 645120 EdgesBipt[49][18]:={ {6,48}, {2,44}, {11,17}, {10,24}, {1,20}, {9,28}, {13,32}, {2,33}, {6,16}, {6,32}, {13,21}, {7,15}, {14,19}, {4,26}, {3,22}, {3,40}, {12,45}, {8,30}, {6,17}, {9,45}, {8,42}, {4,29}, {1,27}, {7,41}, {9,44}, {12,42}, {5,47}, {9,43}, {13,35}, {14,31}, {8,39}, {7,34}, {11,41}, {2,28}, {1,30}, {9,35}, {14,28}, {8,27}, {12,37}, {13,16}, {10,22}, {6,22}, {2,45}, {4,38}, {6,21}, {2,25}, {14,23}, {11,38}, {3,46}, {11,33}, {1,38}, {2,36}, {9,47}, {4,22}, {1,18}, {10,47}, {7,20}, {4,41}, {2,38}, {12,46}, {12,49}, {12,44}, {8,45}, {14,30}, {2,39}, {11,15}, {7,32}, {10,41}, {11,22}, {7,49}, {7,43}, {7,25}, {14,24}, {2,35}, {11,44}, {4,33}, {12,16}, {5,23}, {10,29}, {10,31}, {13,22}, {6,49}, {13,49}, {6,18}, {13,18}, {10,40}, {1,29}, {7,30}, {3,39}, {3,32}, {9,25}, {6,33}, {13,33}, {5,18}, {14,15}, {1,23}, {11,29}, {7,17}, {12,47}, {4,48}, {5,46}, {12,28}, {5,49}, {1,45}, {5,48}, {13,25}, {8,35}, {10,42}, {4,15}, {14,41}, {3,27}, {10,46}, {4,43}, {3,29}, {4,46}, {8,37}, {5,28}, {13,36}, {8,26}, {5,42}, {7,31}, {9,40}, {14,17}, {1,42}, {3,19}, {1,24}, {12,23}, {6,27}, {5,44}, {6,26}, {12,19}, {8,23}, {14,34}, {1,39}, {10,32}, {14,49}, {11,46}, {12,15}, {9,30}, {10,39}, {13,27}, {1,35}, {1,37}, {14,20}, {14,25}, {7,28}, {3,16}, {4,37}, {11,26}, {13,26}, {4,40}, {7,23}, {6,36}, {2,21}, {8,34}, {11,37}, {3,24}, {10,27}, {8,38}, {1,26}, {4,34}, {10,36}, {13,48}, {14,32}, {8,24}, {2,47}, {6,25}, {2,40}, {2,31}, {11,40}, {9,33}, {9,36}, {14,43}, {8,18}, {3,42}, {9,39}, {9,38}, {12,48}, {10,19}, {11,48}, {8,20}, {5,45}, {3,41}, {7,24}, {3,31}, {5,15}, {11,34}, {3,47}, {5,19}, {6,20}, {11,43}, {5,21}, {2,30}, {13,17}, {13,20}, {9,31}, {1,34}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {9,21}, {3,36}, {4,44}, {8,29}, {12,18}, {12,21}, {10,16}, {5,16} }; // ETB49.19 // Bipartite(21,28) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 215698302044209152 EdgesBipt[49][19]:={ {15,33}, {7,48}, {6,38}, {19,28}, {16,47}, {15,38}, {14,36}, {11,49}, {9,32}, {6,25}, {5,22}, {19,26}, {11,25}, {4,28}, {5,43}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {17,42}, {13,39}, {11,43}, {17,33}, {8,40}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {21,41}, {14,45}, {16,37}, {19,37}, {20,37}, {7,30}, {8,31}, {21,22}, {2,46}, {14,29}, {10,48}, {14,44}, {2,33}, {17,35}, {6,32}, {3,49}, {11,35}, {11,29}, {10,42}, {11,27}, {10,47}, {19,40}, {20,38}, {2,34}, {12,28}, {2,25}, {4,43}, {16,48}, {18,32}, {15,32}, {9,33}, {7,45}, {8,46}, {20,24}, {21,38}, {7,41}, {20,49}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {12,40}, {17,26}, {1,24}, {13,24}, {2,48}, {12,23}, {20,39}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {6,46}, {15,45}, {10,35}, {6,44}, {18,39}, {8,38}, {17,47}, {9,47}, {4,49}, {6,24}, {1,38}, {18,46}, {1,26}, {16,40}, {20,42}, {8,22}, {18,29}, {1,43}, {12,49}, {9,39}, {4,22}, {18,36}, {3,38}, {5,28}, {2,39}, {9,46}, {3,47}, {1,31}, {3,31}, {19,47}, {11,22}, {1,39}, {13,49}, {7,37}, {2,30}, {11,42}, {5,35}, {14,34}, {19,23}, {19,49}, {20,25}, {4,32}, {2,44}, {21,45}, {12,47}, {11,36}, {1,47}, {3,24}, {14,23}, {10,38}, {18,22}, {13,25}, {21,31}, {11,48}, {19,30}, {8,47}, {8,24}, {4,41}, {9,26}, {21,37}, {8,45}, {17,31}, {2,23}, {13,45}, {20,31}, {11,34}, {17,28}, {11,46}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {10,31}, {18,25}, {1,25}, {20,30}, {13,31}, {9,30}, {14,27}, {16,41}, {6,45}, {20,44}, {9,25}, {15,46}, {5,40}, {16,30}, {7,23}, {4,34}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {16,26}, {15,40}, {3,42}, {14,43}, {14,37}, {13,38}, {19,44}, {9,41}, {6,23}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {16,44}, {2,41}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {7,29}, {8,29}, {9,23}, {8,36}, {13,44}, {3,48}, {3,33}, {13,32}, {1,45}, {19,33}, {3,34}, {4,27}, {19,43}, {16,46}, {18,28}, {15,29}, {4,46}, {8,43}, {1,33}, {18,27}, {20,28}, {12,36}, {16,27}, {3,45}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {5,47}, {17,34}, {18,49}, {15,47}, {21,44}, {14,24}, {19,35}, {11,41}, {7,22}, {13,35}, {21,43}, {21,27}, {21,29}, {17,24}, {17,40}, {20,23}, {19,36}, {6,28}, {16,23}, {6,42}, {4,35}, {21,48}, {18,43}, {5,49}, {20,45}, {11,28}, {2,47}, {10,24}, {10,27}, {10,34}, {16,33}, {3,40}, {17,27}, {10,45}, {13,23}, {2,40}, {15,22}, {17,45}, {14,41}, {16,39}, {13,28}, {3,27}, {9,27}, {7,38}, {5,42}, {15,36}, {21,36}, {15,31}, {7,44}, {7,43}, {9,40}, {5,44}, {15,26}, {1,46}, {8,39}, {14,22}, {5,36}, {9,34}, {15,43}, {13,46}, {4,39}, {12,35}, {7,36}, {6,35}, {21,24}, {14,48}, {8,25}, {18,42}, {16,32}, {4,48}, {2,32}, {18,34}, {17,49}, {18,48}, {9,48}, {17,48}, {15,25}, {5,33}, {5,30}, {10,49}, {9,37}, {21,23} }; // ETB49.20 // Bipartite(21,28) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5505024 EdgesBipt[49][20]:={ {15,33}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {14,36}, {6,25}, {5,38}, {19,26}, {11,25}, {4,28}, {5,43}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {16,22}, {14,38}, {17,42}, {4,31}, {8,40}, {3,35}, {20,46}, {10,33}, {21,30}, {21,41}, {3,39}, {19,37}, {5,32}, {1,35}, {8,31}, {4,37}, {21,22}, {13,43}, {13,27}, {14,29}, {10,48}, {14,44}, {2,33}, {6,32}, {3,49}, {10,42}, {6,29}, {11,27}, {10,47}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {18,32}, {15,32}, {8,30}, {16,49}, {20,43}, {7,45}, {8,46}, {20,24}, {21,38}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {6,49}, {7,33}, {12,40}, {19,48}, {20,29}, {17,26}, {13,24}, {2,48}, {20,39}, {5,37}, {1,36}, {6,46}, {15,45}, {10,35}, {18,39}, {4,23}, {4,49}, {6,24}, {18,47}, {18,46}, {1,26}, {13,41}, {8,49}, {20,36}, {16,40}, {9,36}, {9,29}, {12,49}, {4,22}, {18,33}, {3,38}, {19,46}, {3,43}, {15,28}, {5,28}, {2,39}, {14,35}, {1,42}, {1,31}, {12,27}, {1,39}, {6,27}, {5,35}, {14,34}, {19,23}, {19,49}, {17,29}, {8,48}, {20,25}, {4,32}, {1,30}, {21,45}, {6,36}, {3,30}, {13,48}, {2,24}, {11,23}, {21,47}, {3,24}, {10,36}, {14,33}, {14,23}, {15,34}, {10,46}, {11,33}, {21,31}, {11,48}, {19,30}, {8,47}, {8,41}, {9,26}, {18,38}, {8,45}, {3,29}, {17,31}, {13,36}, {2,23}, {20,22}, {4,45}, {12,41}, {9,22}, {11,44}, {13,45}, {3,44}, {20,31}, {3,25}, {11,34}, {17,28}, {19,45}, {11,46}, {2,27}, {12,30}, {1,22}, {7,34}, {9,31}, {10,29}, {18,25}, {13,22}, {1,25}, {13,31}, {9,30}, {3,32}, {18,44}, {16,41}, {7,28}, {13,29}, {8,34}, {15,46}, {10,22}, {20,47}, {6,22}, {4,34}, {17,38}, {12,29}, {11,32}, {16,26}, {12,25}, {14,43}, {3,42}, {14,37}, {1,44}, {13,38}, {19,44}, {9,41}, {16,31}, {16,45}, {7,39}, {3,41}, {4,36}, {15,39}, {9,44}, {6,43}, {8,32}, {7,24}, {10,28}, {19,34}, {21,49}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {7,29}, {14,47}, {18,30}, {2,28}, {9,23}, {13,44}, {8,27}, {5,46}, {16,36}, {1,45}, {11,30}, {19,39}, {9,28}, {16,46}, {18,28}, {5,24}, {15,29}, {11,47}, {4,46}, {18,24}, {16,38}, {18,27}, {21,33}, {12,36}, {16,27}, {12,44}, {19,25}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {8,33}, {12,39}, {5,47}, {17,34}, {21,35}, {15,47}, {14,49}, {20,33}, {21,44}, {15,48}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {6,26}, {15,42}, {7,42}, {21,27}, {6,41}, {17,24}, {17,40}, {8,44}, {18,23}, {4,35}, {21,48}, {19,32}, {5,49}, {7,26}, {20,45}, {11,37}, {2,47}, {1,23}, {16,35}, {10,34}, {16,33}, {17,27}, {8,35}, {13,23}, {2,40}, {15,22}, {17,45}, {9,45}, {17,37}, {1,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {21,36}, {15,31}, {7,43}, {9,40}, {20,40}, {5,44}, {17,23}, {10,23}, {9,43}, {14,22}, {9,42}, {15,43}, {10,32}, {4,39}, {12,35}, {6,35}, {21,24}, {17,43}, {14,48}, {1,37}, {2,42}, {18,42}, {16,32}, {4,48}, {11,26}, {3,46}, {17,48}, {15,25}, {5,33}, {18,37}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB49.21 // Bipartite(7,42) Valencies [18,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16851429847203840000000 EdgesBipt[49][21]:={ {1,15}, {4,35}, {7,42}, {7,48}, {1,43}, {2,38}, {4,42}, {6,10}, {4,14}, {1,11}, {6,14}, {3,38}, {6,36}, {3,46}, {6,17}, {1,46}, {4,40}, {5,34}, {1,25}, {4,49}, {2,47}, {2,37}, {3,32}, {5,41}, {1,9}, {2,33}, {7,27}, {1,44}, {1,32}, {7,23}, {3,45}, {5,13}, {3,10}, {3,34}, {6,45}, {3,31}, {2,19}, {5,26}, {4,26}, {6,22}, {1,29}, {4,12}, {3,48}, {3,18}, {3,41}, {7,28}, {6,43}, {5,33}, {3,11}, {2,10}, {2,31}, {2,23}, {6,49}, {7,41}, {4,46}, {4,39}, {1,36}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {4,33}, {2,17}, {4,28}, {5,43}, {5,19}, {5,15}, {6,8}, {7,20}, {7,13}, {5,29}, {7,14}, {3,27}, {6,15}, {7,49}, {2,40}, {4,21}, {7,30}, {4,25}, {2,9}, {2,44}, {6,29}, {7,35}, {2,24}, {6,31}, {4,11}, {5,22}, {1,23}, {5,27}, {5,8}, {1,39}, {6,38}, {7,44}, {2,12}, {5,20}, {5,47}, {5,36}, {3,24}, {5,48}, {7,16}, {7,9}, {4,32}, {6,42}, {3,39}, {1,37}, {4,18}, {3,25}, {2,26}, {7,37}, {3,20}, {7,21}, {5,12}, {3,17}, {6,24}, {6,35}, {4,47}, {7,34}, {1,8}, {1,30}, {2,30}, {1,18}, {4,19}, {5,40}, {2,45}, {6,28} }; // ETB49.22 // Bipartite(7,42) Valencies [18,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3291294892032 EdgesBipt[49][22]:={ {7,42}, {7,48}, {5,32}, {6,39}, {6,12}, {5,14}, {6,48}, {4,42}, {6,10}, {6,18}, {4,14}, {2,22}, {3,38}, {5,42}, {4,8}, {4,27}, {1,31}, {6,41}, {1,46}, {1,40}, {2,20}, {6,13}, {2,37}, {5,24}, {6,32}, {6,25}, {7,31}, {7,27}, {7,45}, {3,30}, {1,32}, {6,40}, {3,10}, {6,34}, {2,15}, {5,9}, {2,29}, {3,19}, {5,37}, {7,28}, {5,23}, {3,11}, {6,11}, {2,23}, {7,41}, {4,39}, {1,36}, {1,17}, {2,16}, {6,46}, {1,22}, {2,36}, {4,33}, {4,28}, {1,12}, {4,29}, {3,9}, {4,43}, {5,43}, {5,15}, {7,20}, {3,23}, {7,13}, {5,29}, {7,14}, {2,34}, {6,26}, {1,19}, {7,49}, {2,40}, {4,36}, {7,30}, {3,47}, {5,28}, {4,15}, {2,9}, {4,25}, {1,35}, {1,26}, {2,44}, {7,35}, {4,11}, {5,38}, {2,43}, {3,35}, {5,46}, {2,48}, {5,45}, {6,38}, {7,44}, {2,12}, {4,22}, {1,49}, {3,24}, {5,17}, {5,31}, {6,20}, {7,16}, {3,21}, {3,49}, {3,44}, {3,39}, {2,8}, {3,16}, {5,10}, {3,25}, {2,26}, {7,21}, {1,33}, {3,37}, {6,24}, {5,18}, {6,27}, {1,47}, {4,41}, {4,47}, {1,45}, {3,33}, {7,34}, {7,17}, {1,8}, {4,13}, {1,21}, {2,30}, {1,18}, {4,19} }; // ETB49.23 // Bipartite(14,35) Valencies [20,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7705271992320000000 EdgesBipt[49][23]:={ {13,21}, {7,48}, {6,38}, {11,49}, {14,36}, {9,32}, {6,25}, {5,22}, {11,25}, {4,28}, {5,43}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {11,43}, {8,40}, {3,35}, {11,15}, {10,33}, {3,19}, {14,31}, {5,15}, {1,19}, {12,16}, {3,20}, {2,18}, {3,21}, {14,45}, {7,30}, {8,31}, {2,46}, {14,29}, {10,48}, {14,44}, {2,33}, {6,32}, {3,49}, {11,35}, {11,29}, {10,42}, {11,27}, {10,47}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,43}, {9,33}, {1,17}, {7,45}, {8,46}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {12,40}, {10,20}, {1,24}, {13,24}, {2,48}, {12,23}, {5,37}, {13,42}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {11,18}, {8,38}, {9,47}, {4,49}, {6,24}, {13,16}, {1,38}, {1,26}, {3,17}, {7,15}, {8,22}, {1,43}, {12,49}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {6,17}, {5,28}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,31}, {3,31}, {11,22}, {1,39}, {13,49}, {7,37}, {2,30}, {11,42}, {5,35}, {14,34}, {4,21}, {13,17}, {4,32}, {2,44}, {13,18}, {12,15}, {8,15}, {11,21}, {12,47}, {8,17}, {11,36}, {1,47}, {3,24}, {14,15}, {14,23}, {10,38}, {6,16}, {13,25}, {11,48}, {8,47}, {8,24}, {4,41}, {9,26}, {8,45}, {2,23}, {10,19}, {9,19}, {13,45}, {11,34}, {11,46}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {10,31}, {5,19}, {1,25}, {2,20}, {9,16}, {13,31}, {9,30}, {14,27}, {6,45}, {2,16}, {9,25}, {5,40}, {7,23}, {4,34}, {12,29}, {6,31}, {11,32}, {3,42}, {14,43}, {14,37}, {13,38}, {4,15}, {9,41}, {6,23}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,37}, {8,32}, {7,24}, {10,28}, {2,19}, {2,41}, {5,23}, {12,43}, {2,26}, {10,40}, {10,21}, {7,29}, {8,29}, {9,23}, {14,16}, {8,36}, {13,44}, {3,48}, {3,33}, {13,32}, {1,45}, {3,34}, {4,27}, {4,46}, {8,43}, {1,33}, {12,36}, {3,45}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {14,24}, {11,41}, {7,22}, {13,35}, {5,21}, {6,28}, {6,42}, {4,35}, {1,15}, {14,20}, {5,49}, {11,28}, {2,47}, {7,16}, {5,16}, {10,24}, {11,20}, {10,27}, {10,34}, {3,40}, {7,17}, {10,45}, {13,23}, {2,40}, {6,21}, {14,41}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {7,44}, {7,43}, {9,40}, {4,20}, {5,44}, {1,46}, {8,39}, {14,22}, {14,17}, {5,36}, {9,34}, {13,46}, {4,39}, {12,35}, {7,36}, {6,35}, {12,19}, {14,48}, {8,25}, {4,48}, {2,32}, {12,21}, {9,48}, {5,33}, {5,30}, {10,49}, {9,37} }; // ETB49.24 // Bipartite(14,35) Valencies [20,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 645120 EdgesBipt[49][24]:={ {7,48}, {6,38}, {10,37}, {11,49}, {14,36}, {9,32}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {5,43}, {12,22}, {3,26}, {1,49}, {13,37}, {1,40}, {14,38}, {13,39}, {4,31}, {8,40}, {6,15}, {3,35}, {10,33}, {8,21}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {5,32}, {8,31}, {2,46}, {13,43}, {14,29}, {10,48}, {13,40}, {14,44}, {3,49}, {11,35}, {6,29}, {11,27}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {4,24}, {4,30}, {1,17}, {4,16}, {7,45}, {8,46}, {12,20}, {5,41}, {12,38}, {12,26}, {13,30}, {7,27}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {13,47}, {13,24}, {2,48}, {2,15}, {13,42}, {1,36}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {4,49}, {6,24}, {2,29}, {5,34}, {13,19}, {3,17}, {8,49}, {13,41}, {8,22}, {6,34}, {1,43}, {9,29}, {9,20}, {8,19}, {3,38}, {5,27}, {3,43}, {14,46}, {4,18}, {9,46}, {14,35}, {12,24}, {1,31}, {12,27}, {7,37}, {11,42}, {5,35}, {4,21}, {8,48}, {4,32}, {8,15}, {11,21}, {8,17}, {11,36}, {3,30}, {1,47}, {2,24}, {11,23}, {11,16}, {14,33}, {10,38}, {14,39}, {8,47}, {8,41}, {14,21}, {9,26}, {7,46}, {12,17}, {1,41}, {2,23}, {4,45}, {12,41}, {9,22}, {9,19}, {13,45}, {4,47}, {3,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {1,22}, {11,24}, {10,44}, {1,25}, {6,19}, {2,20}, {9,16}, {13,31}, {5,39}, {14,27}, {6,45}, {2,16}, {13,29}, {10,30}, {5,40}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {14,37}, {1,44}, {13,38}, {1,48}, {14,40}, {9,41}, {6,23}, {7,39}, {4,36}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {5,31}, {2,19}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {10,21}, {7,29}, {14,47}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {6,47}, {3,48}, {3,33}, {14,26}, {10,15}, {11,30}, {3,34}, {4,27}, {5,24}, {2,22}, {11,47}, {8,43}, {11,45}, {1,33}, {12,36}, {3,45}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {12,33}, {11,19}, {8,33}, {12,39}, {11,31}, {3,15}, {13,34}, {7,22}, {14,18}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,15}, {1,15}, {7,26}, {7,18}, {11,28}, {7,16}, {11,20}, {14,42}, {10,34}, {5,17}, {13,23}, {10,45}, {13,28}, {1,28}, {9,27}, {7,38}, {12,32}, {10,43}, {7,44}, {8,28}, {9,49}, {4,20}, {5,25}, {10,23}, {1,46}, {4,19}, {14,22}, {3,37}, {9,42}, {5,36}, {9,34}, {13,46}, {4,39}, {12,35}, {7,36}, {14,48}, {8,25}, {2,42}, {2,32}, {9,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB49.25 // Bipartite(21,28) Valencies [20,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23115815976960 EdgesBipt[49][25]:={ {15,33}, {18,45}, {6,38}, {19,28}, {11,40}, {10,37}, {15,38}, {9,32}, {5,22}, {11,25}, {4,28}, {5,43}, {12,22}, {3,26}, {8,26}, {1,49}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {17,33}, {8,40}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {15,27}, {3,23}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {21,22}, {2,46}, {13,43}, {13,27}, {10,48}, {14,44}, {2,33}, {17,35}, {3,49}, {10,42}, {6,29}, {11,27}, {10,47}, {20,38}, {2,34}, {12,28}, {19,31}, {2,25}, {12,48}, {4,43}, {21,40}, {16,42}, {16,48}, {18,32}, {15,32}, {16,49}, {12,46}, {9,33}, {20,43}, {7,45}, {20,24}, {5,41}, {21,38}, {19,22}, {12,42}, {11,39}, {10,26}, {7,33}, {20,29}, {17,26}, {1,24}, {13,24}, {2,48}, {12,23}, {20,39}, {5,37}, {18,35}, {13,42}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {10,35}, {15,45}, {16,43}, {6,44}, {18,39}, {8,38}, {17,47}, {9,47}, {4,49}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {18,46}, {1,26}, {2,36}, {8,49}, {13,41}, {20,36}, {8,22}, {6,34}, {1,43}, {12,49}, {9,39}, {8,42}, {4,22}, {5,27}, {19,46}, {3,43}, {15,28}, {20,41}, {2,39}, {9,46}, {3,47}, {14,35}, {1,42}, {7,32}, {19,38}, {1,31}, {12,27}, {1,39}, {13,49}, {7,37}, {6,27}, {14,34}, {3,36}, {19,23}, {19,49}, {17,29}, {8,48}, {20,25}, {4,32}, {21,45}, {14,28}, {6,36}, {16,29}, {3,30}, {13,48}, {1,47}, {2,24}, {11,23}, {21,47}, {10,36}, {14,33}, {14,23}, {15,34}, {11,33}, {13,25}, {21,25}, {21,31}, {11,48}, {19,30}, {8,47}, {8,24}, {4,41}, {8,41}, {9,26}, {18,38}, {21,37}, {7,46}, {8,45}, {3,29}, {17,31}, {13,36}, {20,22}, {12,41}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {3,25}, {19,24}, {11,34}, {17,28}, {7,35}, {19,45}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {11,24}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {20,30}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {13,29}, {8,34}, {9,25}, {15,46}, {17,30}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {6,22}, {4,34}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {21,32}, {12,25}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {15,49}, {18,31}, {19,44}, {7,49}, {14,40}, {9,41}, {6,23}, {16,31}, {16,45}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {21,39}, {19,29}, {6,43}, {6,37}, {7,24}, {10,28}, {17,22}, {20,48}, {16,44}, {7,40}, {2,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {14,47}, {18,30}, {8,29}, {9,23}, {8,36}, {8,27}, {2,45}, {21,46}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {14,26}, {1,45}, {11,30}, {19,39}, {9,28}, {4,27}, {19,43}, {18,28}, {2,22}, {11,47}, {4,46}, {18,24}, {8,43}, {2,31}, {16,38}, {11,45}, {1,33}, {18,27}, {21,33}, {12,36}, {16,27}, {12,44}, {5,26}, {19,25}, {7,47}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {8,33}, {12,39}, {5,47}, {20,27}, {18,49}, {14,49}, {15,47}, {11,31}, {21,44}, {15,48}, {14,24}, {19,35}, {13,34}, {11,41}, {7,25}, {6,26}, {15,42}, {13,35}, {21,43}, {7,42}, {6,41}, {21,29}, {17,24}, {17,40}, {20,23}, {12,34}, {19,36}, {16,23}, {18,23}, {4,35}, {19,32}, {20,34}, {7,26}, {20,45}, {11,37}, {2,47}, {16,35}, {14,42}, {10,27}, {10,34}, {3,40}, {8,35}, {2,40}, {17,45}, {14,41}, {4,26}, {17,37}, {13,28}, {1,28}, {16,24}, {9,27}, {7,38}, {2,38}, {12,32}, {10,43}, {21,36}, {15,31}, {7,44}, {8,28}, {9,49}, {9,40}, {5,44}, {5,25}, {17,23}, {10,23}, {15,26}, {1,46}, {3,37}, {9,42}, {5,36}, {9,34}, {13,46}, {4,39}, {12,35}, {21,24}, {17,43}, {14,48}, {21,26}, {18,42}, {4,48}, {6,33}, {2,32}, {18,34}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {10,49}, {9,37}, {6,40}, {21,23} }; // ETB49.26 // Bipartite(7,42) Valencies [24,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16851429847203840000000 EdgesBipt[49][26]:={ {2,44}, {1,11}, {3,33}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {7,15}, {3,40}, {1,10}, {6,17}, {7,48}, {2,23}, {7,38}, {4,29}, {1,32}, {3,13}, {3,45}, {7,41}, {7,44}, {1,40}, {7,22}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,47}, {2,26}, {7,34}, {2,9}, {7,36}, {2,41}, {6,11}, {3,17}, {6,21}, {3,34}, {5,40}, {2,25}, {6,31}, {1,38}, {2,34}, {1,17}, {5,22}, {4,22}, {3,49}, {1,18}, {3,14}, {7,20}, {4,8}, {5,29}, {4,41}, {2,37}, {5,43}, {4,42}, {2,39}, {1,31}, {3,12}, {7,13}, {7,43}, {1,22}, {6,30}, {5,23}, {4,21}, {3,20}, {6,49}, {2,13}, {2,20}, {6,18}, {2,48}, {1,29}, {7,30}, {2,16}, {4,35}, {7,16}, {2,32}, {1,12}, {6,24}, {5,30}, {6,44}, {7,17}, {6,46}, {4,48}, {5,49}, {1,45}, {5,14}, {4,15}, {4,13}, {3,27}, {4,28}, {1,33}, {4,43}, {6,23}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {7,31}, {4,36}, {5,12}, {3,19}, {1,24}, {5,44}, {1,39}, {5,36}, {3,21}, {1,25}, {1,46}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {6,42}, {7,23}, {5,33}, {3,24}, {6,45}, {1,26}, {4,34}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {7,9}, {1,47}, {6,38}, {4,49}, {2,40}, {6,10}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,20}, {3,28}, {7,10}, {7,27}, {7,45}, {3,41}, {3,31}, {7,24}, {2,12}, {6,39}, {5,15}, {6,37}, {3,47}, {5,19}, {5,21}, {2,30}, {7,37}, {5,35}, {2,18}, {5,37}, {6,35}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB49.27 // Bipartite(21,28) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6470949061326274560 EdgesBipt[49][27]:={ {3,42}, {7,49}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {20,26}, {3,29}, {16,28}, {4,26}, {20,33}, {14,29}, {2,26}, {19,22}, {3,49}, {14,49}, {5,32}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {19,49}, {6,34}, {17,22}, {11,39}, {21,31}, {16,33}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {17,25}, {11,35}, {3,27}, {3,32}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {7,34}, {15,43}, {18,27}, {12,38}, {11,44}, {13,33}, {18,35}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {10,48}, {19,31}, {18,26}, {14,23}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {3,43}, {18,48}, {16,48}, {20,23}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {7,43}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {8,41}, {2,40}, {16,46}, {15,30}, {4,40}, {1,39}, {18,43}, {6,45}, {18,25}, {21,27}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {4,49}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {2,49}, {15,22}, {19,43}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {1,48}, {7,22}, {15,44}, {19,36}, {9,34}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {2,33}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {21,24}, {16,39}, {1,38}, {5,37}, {7,41}, {8,23}, {20,30}, {14,44}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {2,46}, {3,39}, {10,41}, {6,26}, {15,41}, {19,45}, {16,44}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {21,32}, {20,47}, {16,45}, {5,39}, {12,43}, {13,47}, {10,45}, {21,49}, {3,40}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {16,49}, {12,37}, {5,24}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.28 // Bipartite(24,25) Valencies [25,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9623905480333281923493425053824177930240000000000 EdgesBipt[49][28]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {8,37}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {23,49}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, 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{2,40}, {9,43}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {24,28}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {24,29}, {17,34}, {12,26}, {18,46}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {23,25}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {16,44}, {19,45}, {23,31}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.29 // Bipartite(23,26) Valencies [26,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10425897603694388750451210474976192757760000000000 EdgesBipt[49][29]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {23,49}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, 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{17,46}, {6,43}, {23,26}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {23,25}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {16,44}, {19,45}, {23,31}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.30 // Bipartite(22,27) Valencies [27,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12239097186945586794007942731493791498240000000000 EdgesBipt[49][30]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {1,48}, {15,44}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {19,45}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.31 // Bipartite(21,28) Valencies [28,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15577032783385292283282836203719370997760000000000 EdgesBipt[49][31]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {16,44}, {19,45}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {16,45}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.32 // Bipartite(20,29) Valencies [29,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21511140510389213153104869043231512330240000000000 EdgesBipt[49][32]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {20,27}, {4,28}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {7,21}, {16,44}, {19,45}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {20,47}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.33 // Bipartite(7,42) Valencies [30,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10569646080 EdgesBipt[49][33]:={ {2,44}, {6,48}, {1,11}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {7,15}, {5,34}, {4,26}, {3,22}, {3,8}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {7,38}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {1,40}, {4,19}, {7,22}, {4,31}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {2,26}, {7,36}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {2,42}, {6,22}, {3,18}, {2,45}, {6,21}, {3,34}, {2,25}, {3,46}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {5,22}, {4,22}, {3,49}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {1,44}, {4,41}, {5,29}, {2,10}, {2,38}, {2,37}, {5,43}, {7,46}, {2,39}, {7,32}, {1,31}, {7,25}, {7,43}, {2,35}, {6,12}, {3,44}, {4,47}, {6,30}, {6,43}, {4,33}, {3,20}, {2,13}, {6,18}, {2,48}, {1,29}, {2,16}, {3,39}, {4,35}, {7,16}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {5,30}, {6,44}, {7,17}, {6,46}, {5,24}, {4,48}, {5,49}, {1,45}, {1,9}, {5,14}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {6,23}, {4,46}, {3,26}, {5,28}, {5,42}, {7,31}, {6,15}, {2,17}, {7,47}, {5,12}, {4,9}, {1,24}, {5,31}, {6,27}, {1,49}, {3,23}, {5,36}, {3,21}, {6,19}, {6,9}, {7,29}, {6,41}, {1,15}, {5,39}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {1,26}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {6,38}, {4,49}, {2,40}, {2,31}, {6,34}, {5,10}, {3,42}, {4,18}, {5,9}, {4,25}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {7,10}, {7,45}, {1,41}, {5,45}, {3,41}, {1,48}, {7,24}, {2,12}, {5,15}, {6,39}, {6,37}, {3,47}, {6,20}, {7,35}, {5,21}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {5,37}, {7,19}, {3,36}, {4,39}, {7,40}, {7,42}, {7,21}, {4,32}, {1,36}, {2,49}, {5,16} }; // ETB49.34 // Bipartite(14,35) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 231158159769600000000 EdgesBipt[49][34]:={ {13,21}, {7,48}, {6,38}, {11,40}, {11,49}, {14,36}, {9,32}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {11,43}, {2,35}, {6,15}, {8,40}, {3,35}, {11,15}, {10,33}, {3,19}, {14,31}, {5,15}, {1,19}, {2,49}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {3,21}, {14,45}, {6,48}, {3,39}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {3,49}, {11,29}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {4,43}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {8,37}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {11,39}, {6,49}, {2,17}, {10,26}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {13,47}, {2,48}, {12,23}, {5,37}, {13,20}, {13,42}, {9,35}, {1,36}, {1,29}, {12,37}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {4,49}, {6,24}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {13,41}, {7,15}, {8,22}, {6,34}, {1,43}, {9,39}, {12,49}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {3,43}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {11,22}, {1,39}, {7,37}, {13,49}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {8,48}, {13,17}, {4,32}, {2,44}, {1,30}, {12,15}, {8,15}, {14,28}, {11,21}, {12,47}, {6,36}, {8,17}, {11,36}, {13,48}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {14,15}, {10,38}, {14,23}, {6,16}, {10,46}, {11,33}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {7,46}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,19}, {4,47}, {11,44}, {13,45}, {3,25}, {11,34}, {7,35}, {11,46}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,29}, {13,22}, {1,25}, {6,19}, {2,20}, {9,16}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {5,40}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {14,43}, {3,22}, {14,37}, {1,44}, {13,38}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {2,41}, {5,23}, {12,43}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {11,47}, {4,46}, {8,43}, {2,31}, {1,33}, {12,36}, {3,45}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {14,49}, {14,24}, {3,15}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {1,15}, {13,15}, {14,20}, {14,25}, {5,49}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {10,45}, {13,23}, {2,40}, {6,21}, {9,45}, {14,41}, {4,26}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {1,46}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {12,19}, {14,48}, {1,37}, {8,25}, {2,42}, {4,48}, {2,32}, {6,33}, {12,21}, {11,26}, {3,46}, {9,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB49.35 // Bipartite(19,30) Valencies [30,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32266710765583819729657303564847268495360000000000 EdgesBipt[49][35]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {7,21}, {16,44}, {19,45}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.36 // Bipartite(18,31) Valencies [31,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 52645685985952547979967179500540280176640000000000 EdgesBipt[49][36]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.37 // Bipartite(17,32) Valencies [32,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 93592330641693418631052763556516053647360000000000 EdgesBipt[49][37]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.38 // Bipartite(16,33) Valencies [33,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 181679230069169577342631835139119398256640000000000 EdgesBipt[49][38]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {6,43}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {16,44}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.39 // Bipartite(15,34) Valencies [34,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 386068363896985351853092649670628721295360000000000 EdgesBipt[49][39]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, 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{10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.40 // Bipartite(14,35) Valencies [35,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 900826182426299154323882849231467016355840000000000 EdgesBipt[49][40]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.41 // Bipartite(7,42) Valencies [36,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 505542895416115200000000 EdgesBipt[49][41]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,27}, {2,46}, {7,15}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {7,48}, {2,23}, {1,13}, {5,38}, {7,38}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {1,40}, {4,19}, {7,22}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,47}, {2,26}, {7,34}, {2,9}, {7,36}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {2,45}, {6,21}, {6,47}, {3,34}, {2,25}, {5,40}, {3,46}, {6,31}, {6,40}, {1,38}, {2,34}, {1,17}, {5,22}, {4,22}, {3,49}, {1,18}, {3,14}, {7,11}, {7,20}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {7,46}, {4,42}, {6,8}, {7,39}, {5,25}, {2,39}, {7,32}, {1,31}, {3,12}, {7,49}, {7,13}, {7,25}, {7,43}, {2,35}, {1,22}, {6,12}, {4,47}, {6,30}, {6,43}, {4,33}, {5,23}, {4,21}, {3,20}, {6,49}, {2,13}, {2,20}, {2,48}, {1,29}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {7,17}, {5,24}, {4,48}, {5,46}, {5,49}, {1,45}, {1,9}, {5,14}, {4,15}, {4,13}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {7,31}, {6,15}, {2,17}, {4,36}, {5,12}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {1,39}, {3,21}, {5,36}, {1,25}, {6,19}, {1,46}, {6,9}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,37}, {5,39}, {7,28}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {6,36}, {5,33}, {3,24}, {6,45}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {7,9}, {6,38}, {4,49}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {7,10}, {7,27}, {7,45}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {7,24}, {2,12}, {5,15}, {6,37}, {3,47}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {6,13}, {7,37}, {2,18}, {5,35}, {1,34}, {5,37}, {6,35}, {3,36}, {4,39}, {4,44}, {7,42}, {7,21}, {4,32}, {1,36}, {2,49}, {7,18}, {5,16} }; // ETB49.42 // Bipartite(13,36) Valencies [36,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2316410183381912111118555898023772327772160000000000 EdgesBipt[49][42]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {12,25}, {13,27}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {1,29}, {2,34}, {10,19}, {12,19}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {13,14}, {6,21}, {9,15}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.43 // Bipartite(12,37) Valencies [37,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6592859752702365239337428325144582779043840000000000 EdgesBipt[49][43]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {12,25}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {11,29}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {1,29}, {2,34}, {10,19}, {12,19}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {8,34}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {9,13}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {12,23}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {4,19}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB49.44 // Bipartite(11,38) Valencies [38,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20877389216890823257901856362957845466972160000000000 EdgesBipt[49][44]:={ {7,48}, {6,38}, {11,40}, {10,37}, {11,49}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {3,44}, {4,47}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {1,45}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {3,45}, {3,14}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {5,47}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {11,12}, {7,26}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB49.45 // Bipartite(10,39) Valencies [39,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 74019834496249282459833854377759633928355840000000000 EdgesBipt[49][45]:={ {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,15}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB49.46 // Bipartite(9,40) Valencies [40,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 296079337984997129839335417511038535713423360000000000 EdgesBipt[49][46]:={ {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB49.47 // Bipartite(8,41) Valencies [41,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1348805873042764702601416901994731107138928640000000000 EdgesBipt[49][47]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB49.48 // Bipartite(7,42) Valencies [42,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7081230833474514688657438735472338312479375360000000000 EdgesBipt[49][48]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB49.49 // Bipartite(6,43) Valencies [43,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43498989405629161658895695089330078205230448640000000000 EdgesBipt[49][49]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {6,11}, {4,23}, {2,42}, {6,22}, {3,18}, {3,17}, {6,29}, {3,7}, {2,45}, {4,38}, {6,21}, {6,47}, {3,34}, {2,25}, {5,40}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {4,41}, {2,10}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {6,8}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {6,12}, {4,47}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {6,49}, {2,13}, {2,20}, {6,18}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {6,46}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {6,15}, {2,17}, {4,36}, {5,41}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {6,27}, {1,49}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {1,46}, {6,9}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {6,38}, {2,40}, {4,49}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {3,47}, {5,19}, {6,20}, {2,30}, {5,21}, {6,13}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,49}, {5,16} }; // ETB49.50 // Bipartite(5,44) Valencies [44,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 318992588974613852165235097321753906838356623360000000000 EdgesBipt[49][50]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,49}, {5,16} }; // ETB49.51 // Bipartite(4,45) Valencies [45,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2870933300771524669487115875895785161545209610240000000000 EdgesBipt[49][51]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {4,27}, {2,46}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {2,23}, {1,13}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {2,13}, {2,20}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {3,47}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,49} }; // ETB49.52 // Bipartite(3,46) Valencies [46,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33015732958872533699101832572801529357769910517760000000000 EdgesBipt[49][52]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB49.53 // Bipartite(2,47) Valencies [47,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 517246483022336361285928710307223959938395264778240000000000 EdgesBipt[49][53]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,32}, {1,16}, {2,36}, {2,17}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {1,42}, {2,6}, {1,14}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB49.54 // Bipartite(1,48) Valencies [48,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 12413915592536072670862289047373375038521486354677760000000000 EdgesBipt[49][54]:={ {1,26}, {1,47}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 49 is 54 // ******************************************************************************************** // Order 50 // ETB50.1 // Bipartite(25,25) Valencies [2,2] // Diameter 25 Girth 50 // Twin-free VT AT // Automorphism group of order 100 EdgesBipt[50][1]:={ {11,30}, {1,26}, {20,42}, {5,36}, {15,40}, {10,40}, {24,27}, {16,34}, {13,41}, {7,31}, {14,50}, {14,49}, {25,35}, {18,39}, {6,30}, {7,33}, {12,31}, {21,47}, {20,44}, {2,33}, {9,48}, {16,32}, {8,43}, {5,38}, {13,39}, {11,32}, {22,46}, {23,36}, {17,27}, {22,44}, {4,48}, {21,45}, {12,29}, {23,34}, {8,41}, {19,49}, {3,45}, {18,37}, {1,28}, {24,26}, {9,50}, {2,35}, {10,38}, {15,42}, {6,28}, {25,37}, {4,46}, {17,29}, {19,47}, {3,43} }; // ETB50.2 // Bipartite(20,30) Valencies [3,2] // Diameter 10 Girth 10 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[50][2]:={ {3,32}, {1,26}, {7,47}, {4,39}, {19,24}, {16,47}, {5,37}, {2,30}, {2,29}, {18,26}, {20,38}, {13,34}, {19,50}, {7,31}, {8,38}, {1,37}, {15,44}, {3,33}, {8,25}, {12,32}, {4,43}, {3,48}, {5,44}, {11,21}, {7,40}, {8,36}, {4,27}, {1,21}, {20,28}, {11,43}, {12,41}, {14,46}, {10,46}, {9,42}, {6,42}, {15,25}, {9,34}, {10,24}, {16,22}, {17,31}, {18,45}, {6,22}, {14,23}, {19,40}, {15,33}, {17,30}, {20,49}, {14,48}, {9,49}, {5,35}, {16,39}, {13,27}, {2,41}, {12,28}, {11,50}, {13,45}, {6,29}, {10,35}, {18,36}, {17,23} }; // ETB50.3 // Bipartite(20,30) Valencies [3,2] // Diameter 10 Girth 12 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[50][3]:={ {19,26}, {17,39}, {5,29}, {7,23}, {15,44}, {4,40}, {12,32}, {15,29}, {3,38}, {3,37}, {1,31}, {16,45}, {12,31}, {10,33}, {7,36}, {9,48}, {17,49}, {8,43}, {5,47}, {9,24}, {4,45}, {10,26}, {13,33}, {10,47}, {5,28}, {3,25}, {4,21}, {11,40}, {12,37}, {6,42}, {9,41}, {15,25}, {2,49}, {16,35}, {20,41}, {18,46}, {8,22}, {16,22}, {1,27}, {13,21}, {2,28}, {14,38}, {11,34}, {19,43}, {19,32}, {18,27}, {1,42}, {18,23}, {20,50}, {6,35}, {17,30}, {14,48}, {2,34}, {13,46}, {11,50}, {7,44}, {20,36}, {6,24}, {14,30}, {8,39} }; // ETB50.4 // Bipartite(25,25) Valencies [3,3] // Diameter 7 Girth 6 // Twin-free VT AT // Automorphism group of order 300 EdgesBipt[50][4]:={ {3,32}, {1,26}, {12,27}, {15,43}, {22,38}, {10,27}, {6,34}, {24,29}, {4,47}, {1,29}, {2,30}, {17,39}, {20,38}, {4,34}, {10,48}, {6,31}, {25,34}, {12,45}, {10,32}, {5,40}, {6,30}, {23,44}, {23,46}, {13,50}, {11,37}, {11,38}, {5,44}, {13,49}, {16,33}, {2,33}, {20,29}, {16,48}, {15,31}, {7,40}, {22,26}, {14,36}, {8,42}, {22,47}, {14,35}, {12,46}, {9,41}, {24,32}, {7,35}, {1,27}, {3,39}, {19,45}, {2,28}, {17,31}, {18,37}, {19,43}, {8,26}, {24,50}, {11,41}, {20,49}, {25,36}, {14,48}, {9,49}, {5,41}, {25,33}, {21,40}, {15,42}, {21,39}, {19,44}, {21,43}, {9,28}, {18,47}, {13,30}, {4,42}, {7,37}, {23,28}, {8,45}, {17,50}, {18,36}, {16,46}, {3,35} }; // ETB50.5 // Bipartite(25,25) Valencies [4,4] // Diameter 7 Girth 4 // Twin-free VT AT // Automorphism group of order 200 EdgesBipt[50][5]:={ {1,26}, {12,27}, {25,47}, {4,50}, {15,40}, {4,41}, {3,46}, {4,36}, {2,32}, {2,30}, {13,34}, {14,26}, {7,31}, {15,47}, {1,37}, {1,40}, {11,28}, {2,39}, {10,48}, {6,46}, {3,27}, {9,38}, {10,30}, {15,38}, {4,31}, {13,50}, {6,40}, {11,48}, {12,43}, {8,29}, {5,44}, {9,37}, {20,44}, {3,29}, {16,33}, {18,41}, {7,36}, {17,42}, {24,46}, {8,44}, {1,38}, {8,43}, {7,32}, {16,30}, {21,29}, {20,37}, {19,28}, {24,42}, {13,33}, {13,36}, {11,32}, {9,33}, {12,41}, {14,35}, {21,28}, {17,48}, {22,37}, {6,27}, {23,33}, {2,48}, {22,50}, {18,31}, {21,45}, {12,29}, {23,35}, {23,34}, {24,40}, {16,38}, {22,41}, {19,49}, {3,45}, {14,42}, {25,31}, {10,42}, {20,26}, {24,26}, {18,27}, {9,50}, {7,28}, {21,49}, {8,49}, {15,39}, {5,34}, {11,45}, {5,35}, {22,43}, {16,39}, {23,30}, {25,39}, {14,44}, {5,49}, {6,47}, {17,45}, {18,47}, {20,43}, {25,32}, {10,35}, {17,46}, {19,34}, {19,36} }; // ETB50.6 // Bipartite(25,25) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 400 EdgesBipt[50][6]:={ {5,32}, {21,43}, {16,36}, {17,39}, {1,43}, {25,47}, {15,43}, {18,44}, {11,33}, {3,46}, {4,27}, {16,30}, {6,41}, {10,43}, {4,49}, {24,29}, {2,33}, {6,32}, {21,26}, {7,45}, {13,27}, {1,44}, {6,40}, {9,37}, {3,45}, {13,38}, {22,41}, {9,31}, {2,29}, {10,30}, {3,48}, {1,34}, {12,46}, {15,34}, {20,33}, {20,38}, {23,45}, {2,41}, {8,33}, {13,49}, {23,48}, {20,48}, {19,29}, {11,28}, {2,42}, {15,50}, {4,30}, {14,26}, {4,36}, {3,47}, {12,35}, {25,38}, {22,50}, {1,26}, {17,49}, {7,35}, {14,32}, {21,30}, {11,41}, {18,32}, {25,31}, {25,39}, {15,42}, {10,49}, {8,27}, {18,28}, {14,31}, {8,38}, {7,44}, {14,37}, {20,47}, {5,31}, {19,42}, {12,36}, {11,48}, {24,35}, {9,46}, {16,46}, {19,34}, {21,37}, {17,50}, {22,42}, {9,47}, {23,44}, {24,27}, {10,50}, {23,28}, {16,37}, {19,35}, {22,40}, {7,34}, {17,40}, {5,39}, {5,40}, {18,26}, {12,45}, {8,29}, {24,36}, {13,39}, {6,28} }; // ETB50.7 // Bipartite(25,25) Valencies [4,4] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 200 EdgesBipt[50][7]:={ {4,35}, {24,39}, {5,32}, {19,45}, {6,39}, {12,48}, {12,49}, {1,43}, {23,47}, {3,38}, {7,40}, {4,27}, {4,48}, {9,45}, {10,38}, {5,34}, {7,33}, {25,32}, {19,40}, {18,37}, {23,40}, {21,26}, {8,46}, {14,42}, {17,42}, {8,42}, {20,43}, {16,48}, {13,38}, {22,33}, {17,44}, {2,29}, {14,27}, {7,28}, {6,43}, {11,34}, {15,39}, {5,33}, {10,34}, {13,44}, {2,41}, {4,46}, {2,50}, {14,30}, {3,40}, {8,47}, {22,29}, {10,31}, {15,35}, {13,45}, {11,28}, {25,28}, {15,33}, {22,48}, {25,38}, {1,26}, {6,29}, {25,41}, {9,49}, {18,35}, {3,42}, {11,36}, {12,43}, {9,35}, {24,49}, {14,31}, {13,50}, {22,45}, {24,30}, {23,31}, {2,49}, {18,29}, {21,36}, {19,34}, {16,50}, {21,37}, {23,44}, {18,30}, {15,41}, {19,41}, {24,46}, {3,36}, {7,50}, {17,26}, {8,37}, {20,31}, {11,47}, {9,32}, {17,28}, {20,36}, {10,26}, {20,46}, {6,27}, {1,47}, {5,44}, {16,32}, {1,30}, {16,39}, {12,37}, {21,27} }; // ETB50.8 // Bipartite(25,25) Valencies [5,5] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 4000 EdgesBipt[50][8]:={ {24,39}, {9,40}, {21,43}, {16,36}, {13,29}, {8,31}, {14,34}, {5,30}, {5,50}, {23,38}, {18,39}, {8,36}, {5,35}, {10,43}, {1,40}, {10,48}, {11,42}, {4,49}, {2,47}, {7,33}, {15,44}, {13,48}, {24,29}, {12,33}, {21,26}, {7,45}, {8,46}, {22,35}, {22,44}, {22,36}, {25,40}, {3,31}, {17,44}, {8,41}, {15,32}, {20,40}, {2,29}, {11,45}, {3,48}, {1,34}, {15,39}, {9,38}, {12,46}, {20,33}, {22,47}, {23,45}, {9,27}, {2,41}, {20,35}, {6,49}, {23,41}, {4,28}, {7,29}, {10,39}, {23,48}, {14,43}, {8,26}, {14,38}, {6,37}, {4,45}, {20,49}, {25,28}, {2,42}, {15,50}, {3,27}, {21,33}, {12,28}, {4,36}, {25,50}, {14,49}, {13,30}, {1,26}, {11,26}, {13,40}, {21,30}, {5,38}, {2,43}, {5,46}, {25,31}, {16,27}, {6,30}, {10,28}, {24,49}, {25,42}, {14,31}, {1,39}, {23,37}, {19,42}, {22,34}, {21,32}, {11,27}, {3,44}, {19,34}, {16,50}, {6,42}, {4,32}, {1,37}, {9,47}, {18,30}, {15,41}, {12,47}, {17,29}, {13,36}, {17,38}, {18,45}, {16,43}, {24,27}, {18,47}, {24,46}, {18,31}, {7,50}, {17,26}, {9,32}, {17,28}, {16,37}, {6,44}, {19,32}, {10,35}, {7,34}, {3,33}, {11,35}, {12,37}, {19,46}, {19,48}, {20,41} }; // ETB50.9 // Bipartite(20,30) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[50][9]:={ {4,35}, {11,43}, {7,48}, {14,21}, {9,40}, {19,49}, {12,48}, {13,29}, {8,39}, {8,24}, {17,39}, {4,42}, {15,43}, {20,28}, {3,46}, {7,40}, {5,35}, {1,46}, {6,23}, {5,34}, {7,38}, {2,47}, {12,31}, {7,33}, {1,38}, {19,27}, {16,23}, {15,40}, {13,27}, {1,44}, {9,21}, {14,42}, {11,22}, {3,50}, {9,37}, {8,42}, {12,27}, {18,23}, {19,33}, {20,42}, {14,46}, {15,32}, {6,22}, {2,29}, {11,45}, {10,30}, {3,48}, {11,49}, {19,37}, {17,45}, {12,30}, {20,38}, {6,47}, {13,33}, {6,49}, {4,39}, {10,25}, {6,46}, {2,32}, {8,47}, {15,36}, {15,49}, {4,28}, {9,34}, {1,50}, {4,29}, {3,22}, {10,24}, {18,25}, {14,45}, {8,26}, {11,39}, {5,29}, {18,50}, {6,26}, {18,48}, {12,35}, {13,30}, {13,40}, {18,27}, {17,36}, {5,38}, {2,43}, {12,44}, {10,28}, {8,43}, {7,44}, {14,23}, {5,36}, {5,31}, {20,45}, {15,37}, {11,21}, {1,41}, {4,32}, {16,44}, {16,50}, {17,34}, {17,41}, {16,28}, {13,36}, {2,25}, {19,47}, {9,41}, {20,31}, {3,37}, {17,32}, {10,26}, {10,35}, {19,25}, {7,34}, {3,33}, {16,31}, {2,30}, {1,21}, {14,24}, {18,26}, {20,41}, {9,22}, {16,24} }; // ETB50.10 // Bipartite(20,30) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[50][10]:={ {4,35}, {7,42}, {6,39}, {16,49}, {10,21}, {14,25}, {1,43}, {8,24}, {4,42}, {10,22}, {12,39}, {5,50}, {1,31}, {6,41}, {10,38}, {6,23}, {13,24}, {7,38}, {13,48}, {12,33}, {9,39}, {16,40}, {16,23}, {7,45}, {3,30}, {14,42}, {11,22}, {10,45}, {17,44}, {2,29}, {10,30}, {8,44}, {11,49}, {1,34}, {17,23}, {15,34}, {20,33}, {9,27}, {2,41}, {7,41}, {4,46}, {19,26}, {4,39}, {15,25}, {2,32}, {6,33}, {3,40}, {8,47}, {2,36}, {20,48}, {16,35}, {3,22}, {14,28}, {5,43}, {18,25}, {14,45}, {11,46}, {4,31}, {15,45}, {18,34}, {7,49}, {2,40}, {12,28}, {15,33}, {18,48}, {1,26}, {18,27}, {19,43}, {20,37}, {14,32}, {6,31}, {11,50}, {5,22}, {14,36}, {12,44}, {5,27}, {8,27}, {9,35}, {18,46}, {6,38}, {8,43}, {5,36}, {9,24}, {2,49}, {19,42}, {11,48}, {20,30}, {11,21}, {18,29}, {3,44}, {16,50}, {13,21}, {9,29}, {12,47}, {20,29}, {13,23}, {7,46}, {17,38}, {15,47}, {12,32}, {3,36}, {8,37}, {17,26}, {3,37}, {9,32}, {17,28}, {13,31}, {10,26}, {4,34}, {1,47}, {19,35}, {15,30}, {13,37}, {17,40}, {19,50}, {19,28}, {1,21}, {5,25}, {20,41}, {16,24} }; // ETB50.11 // Bipartite(20,30) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[50][11]:={ {14,39}, {4,35}, {6,48}, {10,21}, {15,23}, {14,25}, {12,26}, {9,30}, {18,44}, {3,29}, {9,42}, {19,39}, {6,41}, {10,43}, {1,46}, {5,34}, {2,47}, {18,42}, {20,23}, {3,32}, {16,40}, {19,31}, {7,27}, {13,27}, {3,30}, {1,32}, {12,27}, {17,43}, {18,21}, {19,33}, {6,45}, {12,25}, {3,31}, {5,26}, {6,22}, {20,40}, {15,28}, {2,29}, {11,45}, {3,48}, {5,49}, {11,49}, {19,37}, {16,21}, {9,38}, {5,33}, {17,48}, {7,41}, {4,46}, {18,33}, {13,26}, {2,50}, {4,33}, {15,36}, {7,29}, {20,48}, {7,25}, {8,35}, {20,24}, {8,26}, {13,45}, {11,28}, {13,47}, {2,40}, {14,49}, {10,29}, {1,35}, {13,40}, {6,31}, {11,41}, {12,38}, {11,36}, {17,22}, {1,23}, {12,43}, {9,35}, {10,28}, {2,39}, {14,37}, {8,32}, {4,22}, {20,44}, {15,37}, {11,21}, {19,22}, {3,44}, {8,49}, {17,34}, {1,37}, {12,42}, {13,23}, {10,32}, {8,45}, {7,46}, {20,34}, {15,38}, {17,38}, {16,43}, {4,50}, {16,42}, {15,47}, {19,47}, {18,31}, {7,50}, {14,41}, {18,36}, {8,30}, {17,28}, {9,36}, {4,34}, {6,27}, {10,46}, {5,44}, {9,50}, {16,39}, {2,30}, {5,25}, {14,24}, {1,24}, {16,24} }; // ETB50.12 // Bipartite(20,30) Valencies [6,4] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[50][12]:={ {14,39}, {16,25}, {13,41}, {13,25}, {20,27}, {19,45}, {12,48}, {2,38}, {4,42}, {11,23}, {14,34}, {17,27}, {1,31}, {8,36}, {10,48}, {4,40}, {5,34}, {20,23}, {17,35}, {6,25}, {15,40}, {7,27}, {11,38}, {14,42}, {1,32}, {13,42}, {18,23}, {8,34}, {6,45}, {16,41}, {16,33}, {5,37}, {3,48}, {8,44}, {3,41}, {12,21}, {9,38}, {5,33}, {15,34}, {13,44}, {2,41}, {6,47}, {2,31}, {9,43}, {8,28}, {19,26}, {14,30}, {6,33}, {8,47}, {7,25}, {9,23}, {10,24}, {11,46}, {17,46}, {19,29}, {13,47}, {4,30}, {18,50}, {7,49}, {2,40}, {15,33}, {14,44}, {12,29}, {12,35}, {10,29}, {13,40}, {17,49}, {18,35}, {4,38}, {3,42}, {5,22}, {2,43}, {15,31}, {2,21}, {12,43}, {5,45}, {1,39}, {14,37}, {7,44}, {5,36}, {3,24}, {19,36}, {20,45}, {9,24}, {11,21}, {9,26}, {20,26}, {4,32}, {3,39}, {8,49}, {11,32}, {7,22}, {17,29}, {10,32}, {7,37}, {15,47}, {18,49}, {18,36}, {18,22}, {16,37}, {17,28}, {10,26}, {3,43}, {6,27}, {20,46}, {10,46}, {20,22}, {15,30}, {12,50}, {19,50}, {9,50}, {1,30}, {11,35}, {16,31}, {16,39}, {19,28}, {1,21}, {1,48}, {4,24}, {6,28} }; // ETB50.13 // Bipartite(20,30) Valencies [6,4] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[50][13]:={ {7,43}, {16,25}, {13,25}, {20,27}, {10,21}, {19,49}, {12,26}, {4,42}, {11,23}, {15,43}, {14,34}, {19,44}, {17,27}, {3,38}, {9,42}, {20,28}, {6,36}, {5,50}, {1,31}, {4,48}, {9,45}, {1,40}, {4,40}, {2,47}, {3,32}, {1,38}, {6,50}, {17,35}, {16,40}, {8,46}, {9,21}, {11,38}, {3,30}, {19,23}, {16,48}, {16,41}, {6,34}, {14,46}, {10,47}, {5,37}, {8,44}, {11,49}, {3,41}, {17,45}, {14,33}, {15,39}, {9,38}, {17,23}, {5,33}, {15,34}, {2,31}, {13,33}, {8,28}, {19,26}, {6,46}, {14,30}, {2,32}, {6,33}, {9,23}, {18,50}, {12,29}, {10,29}, {11,26}, {13,40}, {12,24}, {18,35}, {5,22}, {17,22}, {2,21}, {2,48}, {5,27}, {10,49}, {8,27}, {9,35}, {18,28}, {14,31}, {1,39}, {8,43}, {7,44}, {20,44}, {3,24}, {19,36}, {20,45}, {15,37}, {1,42}, {18,29}, {19,22}, {16,46}, {20,26}, {3,39}, {17,50}, {12,42}, {11,32}, {7,22}, {15,41}, {8,25}, {12,47}, {20,29}, {10,32}, {7,37}, {16,43}, {18,49}, {18,36}, {13,31}, {10,35}, {14,48}, {4,41}, {4,47}, {7,34}, {13,37}, {15,30}, {7,36}, {11,24}, {2,30}, {1,21}, {5,25}, {4,24}, {12,45}, {13,39}, {6,28} }; // ETB50.14 // Bipartite(20,30) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[50][14]:={ {4,35}, {11,43}, {13,41}, {6,39}, {10,21}, {11,44}, {15,23}, {8,39}, {12,39}, {3,38}, {9,42}, {1,31}, {4,27}, {16,30}, {9,45}, {10,38}, {13,24}, {4,49}, {2,47}, {15,44}, {18,42}, {20,23}, {3,32}, {1,38}, {19,27}, {6,50}, {5,41}, {7,31}, {6,25}, {19,24}, {10,44}, {1,32}, {3,50}, {11,22}, {16,48}, {18,21}, {8,34}, {19,33}, {3,34}, {17,44}, {4,26}, {2,29}, {5,49}, {20,25}, {12,21}, {17,45}, {6,43}, {13,33}, {7,41}, {14,30}, {9,34}, {10,31}, {4,29}, {14,43}, {6,37}, {11,46}, {4,31}, {20,49}, {15,45}, {13,47}, {2,34}, {18,50}, {6,26}, {15,33}, {2,35}, {5,28}, {10,29}, {13,40}, {8,40}, {18,27}, {7,35}, {17,49}, {2,24}, {11,36}, {17,22}, {14,36}, {15,21}, {1,23}, {5,27}, {9,35}, {18,46}, {8,38}, {14,37}, {14,23}, {8,43}, {11,40}, {3,28}, {20,47}, {5,36}, {16,22}, {20,30}, {16,46}, {20,26}, {12,42}, {7,32}, {3,25}, {7,37}, {12,41}, {16,42}, {15,47}, {1,33}, {9,32}, {17,28}, {10,46}, {14,48}, {7,36}, {19,50}, {12,37}, {19,28}, {2,30}, {1,48}, {5,40}, {12,45}, {17,25}, {18,26}, {19,48}, {8,29}, {13,39}, {16,24}, {9,22} }; // ETB50.15 // Bipartite(20,30) Valencies [6,4] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[50][15]:={ {7,43}, {16,34}, {20,27}, {6,39}, {10,21}, {11,44}, {14,25}, {13,29}, {8,39}, {18,44}, {3,29}, {3,46}, {16,30}, {9,45}, {7,38}, {12,40}, {4,49}, {20,23}, {19,40}, {1,38}, {6,32}, {16,23}, {7,45}, {8,46}, {15,40}, {13,27}, {19,24}, {11,38}, {4,44}, {8,42}, {13,42}, {2,28}, {3,34}, {12,25}, {13,46}, {8,41}, {1,29}, {11,49}, {3,41}, {1,34}, {5,33}, {17,30}, {2,31}, {13,33}, {6,49}, {1,36}, {18,33}, {13,26}, {14,30}, {2,32}, {6,21}, {8,21}, {1,50}, {20,48}, {4,43}, {14,28}, {9,23}, {10,24}, {14,45}, {8,35}, {14,43}, {15,35}, {6,37}, {3,23}, {5,29}, {4,31}, {12,28}, {2,35}, {15,33}, {3,47}, {18,48}, {12,35}, {1,26}, {11,26}, {11,37}, {18,27}, {19,43}, {20,37}, {9,48}, {14,32}, {5,22}, {15,31}, {2,48}, {15,42}, {10,49}, {6,30}, {16,45}, {2,39}, {7,44}, {9,28}, {5,47}, {5,36}, {19,36}, {17,21}, {11,27}, {4,32}, {17,34}, {17,50}, {10,42}, {9,47}, {7,22}, {17,41}, {12,47}, {12,41}, {10,50}, {18,31}, {20,39}, {16,38}, {18,22}, {16,37}, {10,26}, {20,46}, {19,25}, {7,36}, {19,50}, {15,24}, {4,24}, {5,40}, {17,25}, {9,22} }; // ETB50.16 // Bipartite(20,30) Valencies [6,4] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[50][16]:={ {16,34}, {20,27}, {15,23}, {13,29}, {12,26}, {18,44}, {9,42}, {18,39}, {6,23}, {1,40}, {11,42}, {5,34}, {7,38}, {2,47}, {13,48}, {12,22}, {13,34}, {9,39}, {16,40}, {19,31}, {9,21}, {11,38}, {3,30}, {6,40}, {8,42}, {14,35}, {13,38}, {3,31}, {4,26}, {15,28}, {11,45}, {5,37}, {1,29}, {8,22}, {17,45}, {6,43}, {14,33}, {5,33}, {17,48}, {9,43}, {18,33}, {13,26}, {10,25}, {2,50}, {14,30}, {2,32}, {2,36}, {4,33}, {15,49}, {10,31}, {20,48}, {16,35}, {7,25}, {3,22}, {15,46}, {14,45}, {8,35}, {20,24}, {14,43}, {20,49}, {15,45}, {13,47}, {18,50}, {12,28}, {4,36}, {4,21}, {7,30}, {3,47}, {5,28}, {11,37}, {17,36}, {9,48}, {6,31}, {11,50}, {2,27}, {17,22}, {2,43}, {12,44}, {5,27}, {10,49}, {8,27}, {18,46}, {6,38}, {9,28}, {1,49}, {20,44}, {19,36}, {19,42}, {8,23}, {20,30}, {18,29}, {1,41}, {19,34}, {3,39}, {1,37}, {7,32}, {7,46}, {7,21}, {19,41}, {12,41}, {15,47}, {10,50}, {12,32}, {14,41}, {3,37}, {10,26}, {6,44}, {10,35}, {16,32}, {17,40}, {4,23}, {11,24}, {16,39}, {1,21}, {5,25}, {4,24}, {17,25}, {19,46}, {8,29}, {16,24} }; // ETB50.17 // Bipartite(20,30) Valencies [6,4] // Diameter 10 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1238347284480 EdgesBipt[50][17]:={ {6,39}, {9,40}, {6,48}, {10,21}, {16,49}, {19,49}, {9,30}, {14,34}, {2,22}, {3,38}, {1,31}, {8,36}, {19,39}, {7,24}, {11,42}, {13,48}, {12,22}, {20,21}, {19,40}, {10,40}, {2,33}, {17,35}, {12,33}, {9,39}, {7,45}, {8,46}, {13,27}, {4,44}, {1,32}, {11,22}, {16,48}, {13,38}, {17,44}, {5,26}, {20,40}, {10,30}, {5,37}, {3,48}, {17,45}, {14,33}, {2,23}, {17,24}, {6,49}, {19,30}, {1,22}, {2,32}, {4,33}, {10,41}, {15,36}, {10,31}, {7,25}, {4,43}, {15,46}, {18,25}, {8,35}, {14,43}, {8,26}, {16,29}, {19,29}, {2,42}, {13,47}, {3,27}, {3,47}, {14,44}, {6,29}, {7,35}, {9,49}, {15,26}, {18,35}, {12,23}, {11,41}, {20,50}, {2,43}, {5,46}, {12,43}, {5,27}, {18,46}, {6,38}, {14,23}, {7,44}, {5,47}, {3,28}, {11,31}, {5,36}, {15,37}, {13,28}, {1,42}, {20,30}, {11,21}, {1,41}, {17,34}, {12,42}, {15,27}, {11,32}, {16,28}, {8,25}, {9,29}, {8,45}, {18,45}, {10,50}, {15,47}, {12,32}, {18,36}, {20,31}, {3,37}, {16,38}, {4,34}, {7,34}, {13,37}, {19,50}, {4,23}, {9,50}, {16,39}, {1,21}, {14,24}, {4,24}, {17,25}, {18,26}, {20,41}, {6,28} }; // ETB50.18 // Bipartite(20,30) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14511882240 EdgesBipt[50][18]:={ {16,25}, {13,41}, {20,27}, {6,48}, {8,31}, {17,39}, {2,22}, {3,46}, {1,31}, {7,24}, {9,45}, {10,38}, {11,29}, {10,48}, {4,40}, {5,34}, {12,22}, {5,24}, {1,38}, {7,31}, {19,23}, {13,42}, {16,48}, {18,23}, {19,33}, {12,25}, {8,41}, {2,29}, {14,27}, {11,49}, {5,33}, {5,23}, {17,30}, {6,47}, {7,41}, {18,33}, {15,25}, {14,30}, {2,32}, {8,21}, {4,33}, {9,34}, {10,39}, {15,36}, {14,50}, {16,35}, {5,43}, {4,43}, {15,46}, {20,24}, {15,35}, {6,37}, {11,39}, {11,46}, {15,45}, {2,42}, {3,27}, {4,30}, {3,47}, {12,35}, {9,25}, {10,29}, {11,26}, {8,40}, {13,22}, {17,49}, {19,43}, {20,37}, {15,26}, {9,44}, {11,36}, {10,49}, {9,35}, {10,28}, {18,46}, {6,38}, {16,45}, {2,39}, {7,44}, {14,37}, {13,32}, {20,44}, {20,47}, {3,26}, {9,24}, {2,49}, {19,42}, {14,47}, {8,50}, {18,43}, {19,22}, {1,41}, {13,21}, {17,50}, {12,42}, {16,28}, {17,29}, {20,34}, {7,21}, {4,50}, {12,32}, {14,40}, {1,28}, {3,36}, {18,36}, {3,37}, {16,38}, {8,30}, {13,31}, {19,32}, {6,27}, {5,44}, {7,34}, {17,40}, {4,23}, {1,21}, {1,48}, {12,45}, {18,26}, {6,28} }; // ETB50.19 // Bipartite(20,30) Valencies [6,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122880 EdgesBipt[50][19]:={ {16,25}, {7,48}, {6,48}, {14,25}, {12,49}, {8,39}, {12,26}, {15,43}, {17,27}, {20,28}, {3,46}, {18,39}, {8,36}, {4,40}, {12,31}, {5,24}, {20,23}, {3,32}, {13,34}, {1,38}, {6,25}, {19,31}, {15,40}, {7,27}, {19,24}, {11,38}, {10,44}, {3,30}, {19,23}, {16,48}, {3,45}, {19,33}, {20,42}, {6,45}, {3,34}, {9,31}, {16,33}, {13,46}, {17,44}, {5,21}, {10,23}, {5,37}, {5,49}, {2,41}, {17,48}, {20,35}, {2,31}, {14,30}, {6,33}, {12,34}, {8,47}, {15,49}, {14,50}, {3,22}, {5,43}, {9,23}, {8,35}, {14,38}, {13,45}, {6,37}, {11,39}, {16,29}, {11,28}, {2,42}, {4,30}, {2,34}, {13,30}, {4,25}, {1,26}, {11,26}, {13,22}, {6,29}, {17,36}, {18,35}, {4,38}, {9,33}, {17,22}, {15,21}, {10,28}, {1,39}, {16,45}, {13,32}, {7,44}, {8,43}, {20,44}, {15,37}, {9,24}, {2,49}, {11,21}, {18,43}, {18,29}, {11,27}, {17,50}, {1,27}, {12,42}, {10,42}, {9,47}, {7,22}, {2,26}, {4,50}, {12,41}, {18,47}, {14,40}, {19,47}, {1,28}, {7,50}, {14,41}, {18,36}, {9,32}, {16,37}, {19,32}, {10,35}, {20,46}, {10,46}, {4,41}, {7,36}, {1,21}, {15,24}, {5,40}, {8,29} }; // ETB50.20 // Bipartite(20,30) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4026531840 EdgesBipt[50][20]:={ {4,35}, {7,48}, {7,42}, {19,45}, {11,44}, {14,25}, {13,29}, {16,36}, {18,40}, {9,30}, {3,29}, {17,27}, {20,28}, {6,36}, {9,45}, {11,29}, {10,43}, {4,40}, {5,34}, {7,38}, {2,47}, {12,31}, {7,33}, {5,24}, {13,34}, {18,37}, {7,27}, {1,44}, {17,42}, {19,23}, {20,43}, {12,27}, {14,35}, {7,23}, {19,38}, {3,34}, {1,29}, {8,22}, {5,49}, {6,43}, {15,39}, {16,21}, {9,38}, {17,23}, {5,33}, {12,46}, {15,34}, {13,44}, {17,48}, {20,35}, {2,31}, {19,30}, {19,26}, {1,36}, {6,46}, {14,30}, {2,32}, {6,21}, {8,47}, {13,49}, {15,49}, {10,39}, {14,50}, {3,22}, {9,23}, {10,24}, {18,25}, {14,45}, {20,24}, {4,45}, {2,42}, {4,30}, {15,33}, {17,33}, {4,25}, {1,26}, {11,26}, {8,40}, {13,22}, {6,31}, {11,41}, {11,36}, {2,27}, {18,32}, {20,50}, {10,28}, {2,46}, {8,32}, {5,48}, {11,21}, {9,26}, {3,49}, {1,41}, {16,46}, {3,44}, {12,42}, {16,28}, {8,25}, {12,47}, {17,38}, {16,43}, {19,41}, {4,50}, {18,47}, {10,50}, {12,32}, {14,40}, {8,37}, {9,41}, {20,39}, {3,37}, {18,22}, {10,35}, {13,37}, {16,31}, {5,39}, {1,21}, {15,24}, {15,48}, {6,28} }; // ETB50.21 // Bipartite(20,30) Valencies [6,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19349176320 EdgesBipt[50][21]:={ {4,35}, {11,43}, {16,34}, {5,32}, {6,39}, {10,21}, {14,25}, {8,24}, {17,39}, {10,22}, {11,23}, {5,42}, {20,28}, {11,33}, {1,31}, {11,29}, {1,25}, {12,40}, {4,49}, {18,42}, {19,40}, {6,50}, {7,31}, {16,23}, {7,27}, {13,27}, {6,40}, {9,37}, {14,35}, {8,34}, {16,33}, {13,46}, {14,46}, {15,32}, {15,28}, {8,44}, {11,49}, {12,30}, {9,38}, {5,33}, {5,23}, {15,22}, {20,38}, {9,27}, {2,41}, {17,48}, {2,31}, {7,41}, {6,49}, {19,30}, {19,26}, {4,39}, {13,26}, {2,50}, {12,34}, {10,41}, {7,47}, {10,31}, {20,48}, {4,29}, {5,43}, {14,45}, {8,35}, {20,24}, {3,23}, {11,39}, {4,45}, {13,47}, {3,27}, {14,26}, {2,40}, {3,47}, {4,25}, {1,35}, {6,29}, {17,49}, {9,48}, {12,24}, {5,22}, {18,32}, {14,36}, {12,44}, {2,21}, {15,42}, {6,30}, {18,46}, {9,28}, {20,44}, {19,36}, {1,41}, {16,44}, {10,42}, {9,47}, {8,25}, {17,29}, {10,32}, {8,45}, {13,36}, {20,34}, {7,37}, {15,38}, {17,38}, {7,21}, {16,43}, {18,36}, {3,37}, {18,22}, {17,28}, {3,43}, {1,45}, {13,37}, {12,50}, {3,33}, {19,50}, {2,30}, {1,21}, {18,26}, {19,46}, {15,48}, {16,24} }; // ETB50.22 // Bipartite(20,30) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[50][22]:={ {7,43}, {13,41}, {14,21}, {7,48}, {9,40}, {18,41}, {12,49}, {15,43}, {5,30}, {6,36}, {3,46}, {13,24}, {11,42}, {2,47}, {7,33}, {13,48}, {12,22}, {18,42}, {19,40}, {10,40}, {6,50}, {5,41}, {16,23}, {7,45}, {1,44}, {9,21}, {11,22}, {3,50}, {8,42}, {9,31}, {3,31}, {6,34}, {17,44}, {5,26}, {15,32}, {15,28}, {2,29}, {11,45}, {1,29}, {19,37}, {7,28}, {17,31}, {5,23}, {10,34}, {17,48}, {20,35}, {13,33}, {8,33}, {6,49}, {4,39}, {1,36}, {16,47}, {13,26}, {10,25}, {2,32}, {12,34}, {6,21}, {4,28}, {10,39}, {16,35}, {4,43}, {15,46}, {10,24}, {17,46}, {18,34}, {7,30}, {17,33}, {9,25}, {11,37}, {2,44}, {8,40}, {18,27}, {19,43}, {4,38}, {12,23}, {14,32}, {12,38}, {14,36}, {5,38}, {20,50}, {15,31}, {3,35}, {14,22}, {10,49}, {8,27}, {5,45}, {14,37}, {20,44}, {3,24}, {14,47}, {1,42}, {11,30}, {19,22}, {9,46}, {20,26}, {11,27}, {16,50}, {3,39}, {1,27}, {8,25}, {17,29}, {20,29}, {8,48}, {15,47}, {18,49}, {16,38}, {6,35}, {9,36}, {19,25}, {16,32}, {4,23}, {12,37}, {19,28}, {2,30}, {1,21}, {4,24}, {18,26}, {20,41}, {2,45}, {13,39} }; // ETB50.23 // Bipartite(25,25) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 600 EdgesBipt[50][23]:={ {4,35}, {7,42}, {6,39}, {9,40}, {19,45}, {21,43}, {18,41}, {11,44}, {13,29}, {8,39}, {8,31}, {1,43}, {17,47}, {2,38}, {9,30}, {19,44}, {5,50}, {3,46}, {7,40}, {9,45}, {10,38}, {11,29}, {1,46}, {1,40}, {10,48}, {4,40}, {24,50}, {7,38}, {22,30}, {2,47}, {3,32}, {19,27}, {7,31}, {12,33}, {16,40}, {7,27}, {21,35}, {4,44}, {13,43}, {9,37}, {13,42}, {3,45}, {19,38}, {6,45}, {16,41}, {22,33}, {6,34}, {10,47}, {8,41}, {15,32}, {15,28}, {11,49}, {12,30}, {17,31}, {5,33}, {24,37}, {10,34}, {13,44}, {20,38}, {17,48}, {13,33}, {6,49}, {19,26}, {2,50}, {14,30}, {2,32}, {21,41}, {8,47}, {14,50}, {25,33}, {4,43}, {15,46}, {14,43}, {25,29}, {11,46}, {15,50}, {18,34}, {14,26}, {4,36}, {14,49}, {2,35}, {5,28}, {12,35}, {22,48}, {10,29}, {22,50}, {1,26}, {11,26}, {17,36}, {22,27}, {23,42}, {23,46}, {9,48}, {4,38}, {25,37}, {21,30}, {18,32}, {14,36}, {23,49}, {25,31}, {25,48}, {15,42}, {16,27}, {21,29}, {6,30}, {18,28}, {24,49}, {5,47}, {20,32}, {5,36}, {23,31}, {15,37}, {12,36}, {13,28}, {24,35}, {3,44}, {16,44}, {3,39}, {8,49}, {22,42}, {10,42}, {16,28}, {24,41}, {2,26}, {20,34}, {7,37}, {25,46}, {18,45}, {24,27}, {18,47}, {12,32}, {1,28}, {21,34}, {9,41}, {17,26}, {20,31}, {20,39}, {20,36}, {23,34}, {6,27}, {23,43}, {1,45}, {3,33}, {17,40}, {11,35}, {5,39}, {12,37}, {16,39}, {19,48}, {8,29} }; // ETB50.24 // Bipartite(15,35) Valencies [7,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 20160 EdgesBipt[50][24]:={ {7,42}, {13,41}, {9,40}, {15,23}, {1,43}, {12,26}, {12,19}, {2,22}, {11,33}, {12,16}, {6,17}, {1,31}, {10,27}, {8,36}, {10,43}, {6,23}, {1,46}, {11,42}, {7,38}, {14,18}, {4,49}, {6,32}, {8,46}, {9,21}, {10,44}, {3,50}, {12,27}, {15,29}, {2,28}, {12,25}, {3,31}, {6,34}, {2,19}, {5,26}, {13,20}, {10,30}, {8,44}, {11,34}, {14,33}, {15,39}, {4,37}, {13,44}, {15,22}, {9,27}, {8,28}, {6,46}, {3,40}, {10,39}, {7,29}, {4,43}, {9,23}, {7,20}, {14,45}, {4,45}, {13,47}, {2,34}, {6,26}, {10,33}, {1,19}, {7,30}, {5,28}, {11,37}, {13,22}, {9,49}, {4,38}, {2,24}, {11,41}, {12,38}, {3,42}, {14,36}, {14,17}, {3,35}, {5,45}, {15,18}, {13,32}, {5,20}, {3,24}, {15,37}, {11,25}, {2,49}, {11,48}, {14,47}, {8,50}, {15,16}, {5,48}, {4,32}, {3,16}, {8,25}, {12,47}, {7,21}, {4,50}, {9,41}, {6,35}, {9,36}, {13,31}, {10,35}, {7,17}, {5,39}, {2,30}, {1,21}, {1,18}, {1,48}, {14,24}, {5,40}, {8,29} }; // ETB50.25 // Bipartite(10,40) Valencies [8,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[50][25]:={ {4,50}, {5,36}, {4,39}, {2,46}, {6,34}, {7,11}, {10,40}, {2,26}, {5,24}, {2,32}, {5,29}, {4,44}, {6,45}, {5,27}, {8,23}, {8,21}, {6,46}, {4,43}, {2,36}, {3,37}, {9,11}, {4,16}, {1,31}, {3,24}, {2,12}, {10,33}, {9,47}, {3,20}, {8,47}, {8,32}, {1,15}, {7,43}, {2,31}, {3,16}, {7,40}, {4,45}, {7,18}, {6,20}, {3,17}, {5,19}, {8,42}, {9,12}, {9,27}, {9,33}, {10,41}, {6,38}, {10,44}, {3,14}, {3,18}, {2,48}, {4,48}, {7,25}, {5,30}, {3,26}, {7,38}, {9,34}, {7,21}, {6,49}, {4,15}, {5,39}, {9,13}, {1,17}, {10,37}, {6,22}, {10,42}, {1,28}, {8,50}, {9,14}, {6,35}, {8,49}, {1,13}, {1,19}, {10,28}, {2,41}, {1,23}, {8,30}, {5,22}, {1,25}, {10,35}, {7,29} }; // ETB50.26 // Bipartite(10,40) Valencies [8,2] // Diameter 10 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1268067619307520 EdgesBipt[50][26]:={ {4,13}, {4,24}, {5,36}, {4,23}, {9,19}, {10,40}, {5,37}, {6,39}, {2,32}, {4,44}, {9,20}, {4,34}, {1,32}, {7,34}, {5,27}, {8,16}, {2,43}, {8,15}, {3,27}, {8,25}, {10,30}, {3,38}, {4,43}, {1,12}, {3,37}, {5,46}, {1,31}, {3,48}, {2,12}, {2,33}, {7,45}, {8,46}, {5,16}, {9,29}, {4,33}, {5,47}, {10,31}, {3,28}, {9,40}, {3,47}, {3,17}, {8,36}, {1,21}, {10,11}, {10,41}, {6,38}, {5,17}, {7,15}, {6,48}, {3,18}, {7,25}, {10,50}, {7,35}, {6,49}, {8,35}, {6,18}, {6,19}, {2,42}, {8,26}, {1,42}, {9,50}, {5,26}, {2,23}, {9,49}, {9,30}, {10,21}, {1,41}, {2,13}, {1,22}, {6,28}, {4,14}, {9,39}, {7,14}, {10,20}, {1,11}, {8,45}, {6,29}, {2,22}, {7,44}, {7,24} }; // ETB50.27 // Bipartite(10,40) Valencies [8,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 251658240 EdgesBipt[50][27]:={ {6,41}, {4,50}, {5,42}, {7,50}, {4,39}, {10,27}, {7,16}, {8,20}, {4,37}, {8,31}, {2,32}, {6,33}, {2,29}, {9,20}, {6,45}, {9,21}, {1,37}, {8,16}, {1,43}, {8,11}, {2,43}, {7,13}, {5,46}, {1,31}, {3,48}, {7,33}, {2,12}, {9,47}, {3,29}, {9,32}, {4,30}, {7,30}, {7,36}, {8,46}, {1,38}, {8,40}, {5,25}, {3,28}, {3,15}, {9,40}, {10,34}, {5,19}, {8,36}, {10,47}, {9,12}, {9,27}, {5,45}, {10,14}, {6,48}, {10,44}, {3,14}, {6,21}, {4,17}, {1,18}, {9,41}, {2,49}, {10,24}, {4,15}, {5,39}, {1,17}, {3,49}, {2,42}, {3,34}, {8,26}, {6,25}, {5,26}, {2,23}, {10,38}, {6,28}, {4,35}, {1,23}, {4,19}, {1,11}, {5,22}, {2,22}, {7,44}, {6,13}, {7,24}, {10,18}, {3,35} }; // ETB50.28 // Bipartite(10,40) Valencies [8,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 335544320 EdgesBipt[50][28]:={ {4,50}, {8,19}, {3,46}, {5,24}, {1,32}, {7,23}, {9,21}, {9,16}, {1,37}, {1,40}, {3,21}, {2,40}, {7,13}, {10,32}, {3,33}, {8,25}, {5,11}, {1,20}, {1,12}, {10,36}, {6,43}, {1,31}, {2,45}, {10,12}, {7,33}, {5,44}, {9,47}, {8,47}, {4,30}, {8,27}, {4,18}, {5,31}, {10,16}, {7,43}, {2,20}, {3,15}, {4,38}, {5,38}, {9,36}, {9,27}, {6,48}, {2,15}, {2,48}, {3,26}, {9,41}, {10,29}, {9,34}, {6,49}, {1,17}, {7,19}, {4,22}, {2,28}, {10,42}, {5,14}, {5,18}, {3,41}, {8,50}, {9,14}, {3,13}, {7,39}, {5,34}, {2,35}, {7,17}, {10,22}, {4,26}, {6,28}, {2,25}, {4,42}, {4,46}, {8,30}, {7,37}, {1,11}, {8,45}, {6,29}, {6,44}, {6,23}, {10,49}, {6,24}, {8,39}, {3,35} }; // ETB50.29 // Bipartite(25,25) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 57600 EdgesBipt[50][29]:={ {6,48}, {8,48}, {13,32}, {9,28}, {25,31}, {6,32}, {17,35}, {12,29}, {21,45}, {16,33}, {16,26}, {18,29}, {23,29}, {3,40}, {23,27}, {4,30}, {25,39}, {8,30}, {21,32}, {22,37}, {5,38}, {12,32}, {7,38}, {25,38}, {22,46}, {1,32}, {24,27}, {1,40}, {10,26}, {4,31}, {12,41}, {25,33}, {10,33}, {2,27}, {21,42}, {3,35}, {25,50}, {13,35}, {14,31}, {7,34}, {11,41}, {21,43}, {10,44}, {13,47}, {24,36}, {12,34}, {1,30}, {14,28}, {17,46}, {11,50}, {2,42}, {18,34}, {15,45}, {15,29}, {19,33}, {6,47}, {5,40}, {20,38}, {22,45}, {3,46}, {10,48}, {2,34}, {9,48}, {1,50}, {9,47}, {19,40}, {10,47}, {17,37}, {15,32}, {9,26}, {22,34}, {25,36}, {4,41}, {12,46}, {2,37}, {23,45}, {12,44}, {7,46}, {14,40}, {4,42}, {9,41}, {2,39}, {7,49}, {17,33}, {11,44}, {21,27}, {6,43}, {21,26}, {6,49}, {2,48}, {17,43}, {3,39}, {18,30}, {15,41}, {23,35}, {8,36}, {7,26}, {18,43}, {16,32}, {6,50}, {24,45}, {11,29}, {20,44}, {13,44}, {5,30}, {19,41}, {17,27}, {5,46}, {15,37}, {17,48}, {24,49}, {20,28}, {8,35}, {20,45}, {19,31}, {23,47}, {14,37}, {18,47}, {18,36}, {4,28}, {21,31}, {10,45}, {20,43}, {18,33}, {3,29}, {1,43}, {4,46}, {13,36}, {8,26}, {5,42}, {24,40}, {24,41}, {13,30}, {7,47}, {17,28}, {12,27}, {9,40}, {5,44}, {20,39}, {14,49}, {1,39}, {1,46}, {22,31}, {10,39}, {19,49}, {16,34}, {20,35}, {22,50}, {11,26}, {6,42}, {5,33}, {11,37}, {16,35}, {18,28}, {8,38}, {20,34}, {1,26}, {14,44}, {15,33}, {14,32}, {19,43}, {13,41}, {10,49}, {6,38}, {4,49}, {2,40}, {16,42}, {22,48}, {15,38}, {8,49}, {3,42}, {12,48}, {9,38}, {7,27}, {25,27}, {13,37}, {5,45}, {23,50}, {21,36}, {23,31}, {15,39}, {3,47}, {19,35}, {16,50}, {11,43}, {2,30}, {19,34}, {7,37}, {22,36}, {9,31}, {11,42}, {3,36}, {4,39}, {16,28}, {8,29}, {24,50}, {25,44}, {24,28}, {14,29}, {23,30} }; // ETB50.30 // Bipartite(25,25) Valencies [8,8] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 2400 EdgesBipt[50][30]:={ {25,31}, {2,33}, {6,32}, {11,36}, {4,27}, {5,34}, {13,40}, {18,48}, {16,33}, {16,26}, {3,40}, {17,38}, {17,47}, {4,30}, {4,50}, {7,38}, {8,42}, {8,28}, {18,38}, {15,31}, {1,32}, {23,28}, {7,41}, {12,39}, {12,41}, {15,44}, {3,35}, {13,35}, {14,31}, {24,30}, {25,30}, {11,41}, {14,50}, {23,48}, {10,44}, {2,41}, {13,47}, {2,28}, {5,32}, {17,40}, {20,30}, {8,27}, {21,49}, {16,29}, {18,42}, {16,43}, {18,37}, {10,30}, {6,29}, {15,45}, {3,46}, {11,33}, {20,50}, {5,50}, {15,32}, {19,30}, {9,27}, {24,37}, {25,36}, {2,38}, {8,47}, {7,39}, {4,42}, {22,41}, {17,39}, {15,26}, {24,42}, {4,45}, {7,43}, {20,31}, {17,33}, {11,44}, {21,44}, {25,34}, {6,43}, {21,26}, {10,31}, {9,34}, {6,49}, {9,42}, {2,48}, {17,43}, {9,50}, {12,43}, {1,29}, {4,35}, {23,37}, {23,42}, {23,35}, {15,50}, {19,42}, {16,32}, {24,45}, {20,44}, {5,30}, {6,44}, {9,37}, {12,47}, {12,28}, {5,49}, {15,34}, {17,48}, {13,28}, {20,45}, {19,31}, {18,27}, {24,34}, {23,47}, {3,27}, {14,37}, {18,47}, {23,38}, {25,45}, {1,33}, {22,29}, {1,43}, {4,46}, {8,37}, {21,33}, {15,36}, {24,35}, {16,49}, {12,33}, {21,39}, {7,47}, {22,39}, {11,39}, {1,49}, {8,40}, {22,33}, {12,40}, {20,49}, {21,29}, {14,34}, {10,32}, {17,29}, {5,36}, {22,28}, {16,44}, {25,49}, {19,45}, {22,47}, {7,29}, {6,41}, {9,30}, {13,27}, {13,46}, {7,28}, {11,26}, {14,45}, {6,36}, {20,26}, {2,29}, {8,38}, {1,26}, {4,34}, {23,46}, {10,36}, {3,48}, {10,34}, {11,32}, {13,48}, {10,49}, {2,40}, {10,50}, {22,48}, {5,26}, {3,42}, {16,39}, {12,48}, {3,38}, {3,28}, {8,46}, {14,35}, {1,41}, {13,37}, {25,26}, {19,50}, {5,45}, {21,36}, {18,40}, {9,46}, {24,46}, {6,39}, {14,46}, {19,35}, {11,43}, {9,31}, {21,41}, {2,43}, {18,35}, {7,40}, {19,37}, {20,32}, {14,27}, {19,27}, {25,44}, {24,31}, {1,36}, {22,38} }; // ETB50.31 // Bipartite(20,30) Valencies [9,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[50][31]:={ {3,33}, {9,28}, {2,33}, {17,35}, {11,36}, {4,27}, {2,46}, {11,35}, {18,48}, {16,33}, {18,29}, {12,45}, {17,47}, {16,40}, {14,39}, {9,45}, {7,38}, {8,42}, {8,28}, {15,49}, {18,38}, {15,31}, {20,27}, {3,45}, {8,33}, {19,24}, {7,41}, {7,44}, {10,26}, {7,22}, {15,44}, {9,49}, {2,27}, {19,47}, {8,39}, {7,34}, {19,48}, {18,41}, {20,30}, {8,31}, {16,29}, {2,42}, {19,21}, {6,22}, {18,42}, {16,43}, {16,30}, {6,47}, {6,21}, {5,40}, {11,38}, {3,46}, {6,31}, {1,50}, {10,38}, {14,21}, {19,26}, {15,32}, {16,24}, {1,44}, {4,41}, {19,29}, {14,30}, {5,25}, {2,39}, {17,39}, {17,23}, {7,43}, {11,44}, {1,22}, {19,38}, {10,29}, {10,31}, {9,34}, {3,39}, {9,25}, {2,32}, {15,50}, {18,43}, {6,50}, {1,23}, {5,30}, {13,50}, {6,44}, {19,41}, {6,46}, {15,35}, {12,47}, {17,49}, {13,23}, {12,28}, {12,25}, {15,37}, {5,48}, {13,25}, {20,28}, {10,42}, {18,27}, {10,46}, {18,36}, {3,29}, {16,48}, {3,26}, {8,37}, {15,36}, {13,36}, {5,28}, {17,31}, {8,26}, {5,42}, {12,26}, {9,22}, {12,33}, {4,36}, {17,28}, {9,40}, {16,45}, {8,32}, {1,24}, {12,23}, {14,22}, {1,49}, {20,39}, {20,49}, {14,34}, {8,23}, {10,32}, {3,21}, {1,25}, {11,46}, {9,30}, {13,42}, {16,21}, {20,35}, {20,37}, {4,37}, {13,26}, {14,45}, {4,40}, {5,33}, {2,29}, {11,27}, {20,34}, {4,34}, {10,36}, {11,32}, {13,48}, {13,41}, {1,47}, {6,38}, {4,49}, {10,50}, {14,43}, {5,27}, {12,48}, {17,45}, {4,25}, {12,24}, {15,23}, {14,35}, {1,41}, {13,37}, {19,50}, {7,24}, {3,31}, {9,24}, {18,40}, {14,46}, {11,34}, {3,47}, {17,22}, {11,43}, {2,30}, {5,37}, {2,43}, {6,35}, {7,40}, {4,44}, {20,32}, {7,21} }; // ETB50.32 // Bipartite(20,30) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255941120 EdgesBipt[50][32]:={ {10,25}, {11,36}, {17,36}, {12,29}, {13,21}, {18,48}, {4,24}, {16,26}, {3,22}, {3,40}, {17,38}, {16,27}, {8,43}, {9,45}, {16,47}, {15,49}, {18,38}, {18,50}, {8,33}, {10,26}, {9,44}, {12,39}, {7,22}, {4,31}, {2,27}, {15,48}, {14,31}, {14,50}, {18,21}, {13,47}, {2,28}, {18,41}, {5,32}, {9,35}, {8,44}, {17,46}, {8,27}, {12,50}, {15,25}, {15,45}, {15,29}, {19,33}, {11,33}, {1,38}, {5,22}, {4,22}, {3,49}, {19,40}, {14,21}, {16,24}, {19,30}, {4,41}, {2,38}, {8,47}, {12,49}, {2,37}, {14,30}, {14,40}, {19,22}, {7,39}, {4,42}, {9,41}, {5,25}, {7,32}, {17,39}, {7,49}, {7,43}, {6,43}, {4,21}, {10,29}, {9,34}, {2,48}, {16,37}, {12,43}, {3,39}, {13,31}, {18,30}, {3,32}, {9,25}, {6,33}, {19,42}, {11,23}, {6,24}, {20,44}, {14,47}, {6,44}, {6,46}, {15,35}, {17,49}, {1,45}, {17,48}, {13,28}, {20,45}, {1,28}, {14,41}, {3,50}, {14,37}, {20,22}, {10,46}, {10,45}, {3,29}, {6,23}, {8,37}, {18,31}, {5,42}, {12,33}, {5,41}, {17,28}, {12,23}, {5,31}, {6,26}, {12,40}, {12,30}, {8,23}, {17,29}, {20,25}, {1,25}, {1,46}, {16,44}, {11,46}, {7,29}, {13,27}, {10,39}, {1,35}, {16,34}, {20,35}, {19,32}, {11,26}, {10,35}, {16,36}, {7,23}, {6,36}, {3,30}, {8,34}, {11,37}, {11,27}, {18,28}, {20,34}, {1,26}, {4,34}, {10,36}, {13,48}, {8,24}, {19,43}, {13,41}, {10,49}, {2,47}, {20,42}, {20,24}, {2,40}, {6,34}, {11,47}, {15,38}, {16,46}, {15,28}, {3,42}, {13,38}, {13,37}, {19,50}, {5,45}, {1,48}, {15,39}, {9,24}, {18,40}, {17,26}, {7,33}, {11,43}, {5,21}, {2,30}, {5,35}, {9,31}, {19,23}, {9,21}, {7,42}, {4,44}, {20,32}, {14,27}, {4,32}, {1,36}, {2,50} }; // ETB50.33 // Bipartite(20,30) Valencies [9,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7430083706880 EdgesBipt[50][33]:={ {3,33}, {16,41}, {6,32}, {17,35}, {11,36}, {2,46}, {11,35}, {13,40}, {3,40}, {17,38}, {4,30}, {4,50}, {11,25}, {16,40}, {7,48}, {14,39}, {7,38}, {19,44}, {15,49}, {16,31}, {4,29}, {3,43}, {10,23}, {12,38}, {19,24}, {7,41}, {10,26}, {14,38}, {9,44}, {10,33}, {2,27}, {9,43}, {3,37}, {2,26}, {14,50}, {17,21}, {18,21}, {13,47}, {2,28}, {18,41}, {5,32}, {14,28}, {8,44}, {8,31}, {8,27}, {12,37}, {18,34}, {6,22}, {15,25}, {18,37}, {16,30}, {15,45}, {15,29}, {4,38}, {19,33}, {6,21}, {6,40}, {6,31}, {2,36}, {5,22}, {9,32}, {15,32}, {12,36}, {1,44}, {5,29}, {8,41}, {2,38}, {8,47}, {12,46}, {2,37}, {14,30}, {14,40}, {19,22}, {5,25}, {7,25}, {11,44}, {20,33}, {6,30}, {10,29}, {9,34}, {15,42}, {9,42}, {2,48}, {13,33}, {14,48}, {18,44}, {19,42}, {16,32}, {6,50}, {13,43}, {13,50}, {15,35}, {12,47}, {4,48}, {13,23}, {12,28}, {5,49}, {1,45}, {17,48}, {18,24}, {18,27}, {3,50}, {3,27}, {18,47}, {10,46}, {4,28}, {20,43}, {8,37}, {17,31}, {18,31}, {5,42}, {12,26}, {16,22}, {9,22}, {7,31}, {13,30}, {10,43}, {17,28}, {20,29}, {12,27}, {8,21}, {1,24}, {11,24}, {17,25}, {20,23}, {20,39}, {20,49}, {3,23}, {14,49}, {1,25}, {1,46}, {11,46}, {17,41}, {20,46}, {6,41}, {13,27}, {10,39}, {1,35}, {16,21}, {5,39}, {7,28}, {19,32}, {11,26}, {6,42}, {4,40}, {3,30}, {8,34}, {20,26}, {1,26}, {10,36}, {15,22}, {8,24}, {19,43}, {2,47}, {10,49}, {4,49}, {9,33}, {16,42}, {20,36}, {12,48}, {17,45}, {11,45}, {7,45}, {13,37}, {5,45}, {15,39}, {9,24}, {11,34}, {3,47}, {7,35}, {16,50}, {19,34}, {5,35}, {1,34}, {19,23}, {4,39}, {9,23}, {7,21}, {1,36}, {14,29} }; // ETB50.34 // Bipartite(25,25) Valencies [10,10] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2000 EdgesBipt[50][34]:={ {8,48}, {3,33}, {13,32}, {17,35}, {11,36}, {4,27}, {2,46}, {12,29}, {11,35}, {5,34}, {18,48}, {21,48}, {16,26}, {15,46}, {18,32}, {25,39}, {18,46}, {8,43}, {5,38}, {16,47}, {8,28}, {19,44}, {25,38}, {16,31}, {18,38}, {21,37}, {4,29}, {18,50}, {20,27}, {1,32}, {8,33}, {24,27}, {1,27}, {23,28}, {7,41}, {7,44}, {14,38}, {4,31}, {12,41}, {22,42}, {9,49}, {12,42}, {3,35}, {3,37}, {19,47}, {14,31}, {7,34}, {15,47}, {14,50}, {15,43}, {23,48}, {24,44}, {10,44}, {13,47}, {23,43}, {17,40}, {14,28}, {20,30}, {8,31}, {12,37}, {12,50}, {21,49}, {2,42}, {18,34}, {23,39}, {18,42}, {16,43}, {10,30}, {2,45}, {15,45}, {23,32}, {15,29}, {19,33}, {6,47}, {5,40}, {22,45}, {11,38}, {10,48}, {6,40}, {6,31}, {20,50}, {21,46}, {2,34}, {2,36}, {9,47}, {3,49}, {19,40}, {5,50}, {15,32}, {9,27}, {25,36}, {12,46}, {11,49}, {5,43}, {19,29}, {14,30}, {8,45}, {14,40}, {22,35}, {7,39}, {4,42}, {22,41}, {9,41}, {2,39}, {7,32}, {17,39}, {15,26}, {4,45}, {11,31}, {25,28}, {22,27}, {17,33}, {11,44}, {3,44}, {4,47}, {10,29}, {22,44}, {9,34}, {6,49}, {25,41}, {13,49}, {16,37}, {12,43}, {1,29}, {7,30}, {24,26}, {3,32}, {23,37}, {15,41}, {8,36}, {6,33}, {13,33}, {24,45}, {13,44}, {5,30}, {17,30}, {6,46}, {11,30}, {9,37}, {4,48}, {17,49}, {12,28}, {14,42}, {15,34}, {24,49}, {20,28}, {8,35}, {10,42}, {20,45}, {18,26}, {19,31}, {1,28}, {18,27}, {24,34}, {3,50}, {14,37}, {23,38}, {18,36}, {4,28}, {21,31}, {10,45}, {16,48}, {4,46}, {3,26}, {16,38}, {21,33}, {13,36}, {8,26}, {12,26}, {24,40}, {10,43}, {5,41}, {25,35}, {17,28}, {9,40}, {25,32}, {25,47}, {11,39}, {5,44}, {1,49}, {6,26}, {12,40}, {20,49}, {21,29}, {10,32}, {21,30}, {17,29}, {5,36}, {16,44}, {25,42}, {17,41}, {20,46}, {22,47}, {7,29}, {6,28}, {21,50}, {1,35}, {1,37}, {16,34}, {22,26}, {10,35}, {25,43}, {6,36}, {5,33}, {11,27}, {1,26}, {23,33}, {23,46}, {8,50}, {13,48}, {15,33}, {19,39}, {19,43}, {1,47}, {6,38}, {2,40}, {2,31}, {10,50}, {16,42}, {20,36}, {9,39}, {9,38}, {17,45}, {3,38}, {24,29}, {11,48}, {7,27}, {20,41}, {14,35}, {22,40}, {3,41}, {1,48}, {21,34}, {9,46}, {13,34}, {19,35}, {13,39}, {2,30}, {13,45}, {7,37}, {22,36}, {2,43}, {4,39}, {7,42}, {19,37}, {20,32}, {14,27}, {24,50}, {24,31}, {23,30} }; // ETB50.35 // Bipartite(25,25) Valencies [10,10] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 12383472844800000000000 EdgesBipt[50][35]:={ {6,48}, {8,48}, {3,33}, {16,41}, {17,50}, {17,35}, {11,36}, {18,39}, {5,34}, {18,48}, {21,48}, {16,26}, {16,33}, {18,29}, {4,26}, {23,29}, {12,45}, {10,37}, {17,47}, {4,30}, {4,50}, {25,39}, {22,37}, {8,43}, {9,45}, {12,32}, {8,28}, {15,49}, {16,31}, {18,38}, {20,27}, {8,33}, {3,43}, {23,28}, {4,31}, {22,42}, {15,44}, {2,27}, {12,42}, {5,47}, {25,29}, {14,31}, {24,30}, {8,39}, {22,32}, {11,41}, {15,47}, {21,43}, {12,35}, {14,50}, {23,48}, {10,44}, {24,36}, {23,43}, {5,32}, {17,40}, {9,35}, {8,44}, {13,29}, {12,37}, {12,50}, {2,42}, {18,34}, {23,39}, {23,44}, {11,28}, {16,43}, {2,45}, {15,29}, {3,34}, {22,45}, {11,38}, {11,33}, {6,31}, {21,46}, {1,38}, {3,49}, {19,40}, {10,47}, {17,37}, {14,36}, {19,26}, {15,32}, {9,26}, {19,30}, {5,29}, {4,41}, {2,37}, {14,30}, {14,40}, {22,35}, {9,41}, {7,32}, {1,31}, {23,34}, {4,45}, {11,31}, {22,27}, {2,35}, {15,27}, {3,44}, {25,34}, {6,43}, {18,49}, {10,29}, {21,26}, {15,42}, {13,49}, {9,50}, {7,30}, {7,50}, {24,26}, {3,39}, {4,35}, {13,33}, {6,33}, {2,32}, {18,44}, {18,43}, {13,43}, {24,45}, {20,44}, {13,44}, {17,30}, {19,41}, {6,46}, {12,47}, {17,27}, {5,49}, {15,37}, {15,34}, {13,28}, {10,42}, {19,31}, {1,28}, {14,41}, {23,38}, {1,33}, {21,31}, {18,33}, {3,29}, {16,48}, {1,43}, {4,46}, {16,38}, {21,33}, {21,38}, {24,35}, {5,42}, {25,37}, {24,40}, {24,41}, {4,36}, {7,47}, {20,29}, {12,27}, {19,46}, {9,40}, {25,32}, {25,47}, {5,44}, {6,26}, {12,40}, {20,39}, {12,30}, {20,49}, {10,32}, {1,46}, {11,46}, {25,49}, {19,45}, {25,42}, {22,47}, {19,36}, {6,41}, {6,28}, {9,30}, {10,39}, {5,39}, {22,50}, {20,37}, {23,49}, {11,26}, {14,45}, {4,40}, {16,36}, {6,36}, {8,34}, {18,28}, {10,27}, {8,38}, {20,34}, {1,26}, {23,33}, {3,48}, {10,34}, {13,48}, {2,47}, {10,49}, {20,42}, {6,38}, {2,40}, {9,36}, {20,47}, {5,27}, {8,49}, {16,46}, {13,38}, {17,45}, {3,38}, {11,48}, {3,28}, {7,27}, {7,45}, {14,35}, {22,40}, {25,27}, {1,41}, {19,50}, {21,36}, {1,48}, {15,39}, {9,46}, {24,46}, {14,46}, {13,34}, {17,42}, {19,35}, {7,35}, {13,39}, {11,43}, {2,30}, {7,37}, {22,30}, {9,31}, {5,37}, {21,41}, {21,28}, {17,32}, {16,28}, {7,40}, {7,42}, {20,32}, {8,29}, {24,50}, {25,44}, {24,31}, {1,36}, {2,50}, {14,26} }; // ETB50.36 // Bipartite(10,40) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 125829120 EdgesBipt[50][36]:={ {1,15}, {9,13}, {7,43}, {9,40}, {8,31}, {1,43}, {10,22}, {4,14}, {3,29}, {3,38}, {5,30}, {9,42}, {6,36}, {5,50}, {6,41}, {7,24}, {5,35}, {9,45}, {10,48}, {7,38}, {4,16}, {2,37}, {2,33}, {1,44}, {10,44}, {6,40}, {9,37}, {7,23}, {2,15}, {4,26}, {9,17}, {2,29}, {3,18}, {3,41}, {1,34}, {2,14}, {6,11}, {9,27}, {6,47}, {7,41}, {7,26}, {4,46}, {8,28}, {4,39}, {6,46}, {10,12}, {2,50}, {6,21}, {8,47}, {10,13}, {2,17}, {2,13}, {3,22}, {5,19}, {10,24}, {5,15}, {4,30}, {2,34}, {6,26}, {10,33}, {1,19}, {8,11}, {4,36}, {2,35}, {9,25}, {10,29}, {1,35}, {4,38}, {6,31}, {9,33}, {3,42}, {1,23}, {10,49}, {8,27}, {5,45}, {10,28}, {1,39}, {7,18}, {8,43}, {7,44}, {8,32}, {5,20}, {5,31}, {2,49}, {8,23}, {6,16}, {6,20}, {3,21}, {1,14}, {3,49}, {10,42}, {5,11}, {9,47}, {3,16}, {4,18}, {8,25}, {7,32}, {8,48}, {8,45}, {7,46}, {10,32}, {7,21}, {4,50}, {1,28}, {3,36}, {3,17}, {3,37}, {4,34}, {6,27}, {7,12}, {5,39}, {2,30}, {1,48}, {5,25}, {4,19}, {5,40}, {9,20}, {8,12}, {1,24}, {9,22} }; // ETB50.37 // Bipartite(10,40) Valencies [12,3] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7608405715845120 EdgesBipt[50][37]:={ {1,15}, {9,13}, {10,19}, {7,48}, {5,32}, {6,12}, {8,24}, {8,31}, {2,38}, {5,42}, {9,42}, {4,48}, {6,41}, {5,35}, {1,46}, {10,43}, {4,40}, {7,38}, {1,25}, {4,49}, {9,12}, {2,47}, {2,37}, {6,50}, {6,32}, {7,31}, {7,45}, {1,44}, {3,30}, {6,40}, {3,50}, {7,15}, {8,34}, {2,28}, {2,18}, {8,14}, {8,41}, {7,11}, {6,22}, {10,23}, {5,49}, {8,44}, {7,28}, {1,34}, {4,20}, {6,11}, {10,36}, {7,41}, {9,43}, {4,39}, {1,36}, {3,13}, {2,16}, {3,40}, {6,21}, {1,16}, {8,47}, {2,36}, {10,13}, {2,17}, {8,21}, {4,28}, {9,34}, {10,39}, {4,29}, {10,16}, {7,25}, {5,19}, {9,23}, {5,15}, {3,23}, {8,17}, {5,29}, {3,27}, {4,30}, {10,33}, {8,11}, {3,47}, {10,29}, {1,35}, {1,26}, {7,35}, {4,38}, {6,31}, {9,33}, {5,22}, {2,27}, {9,44}, {2,48}, {10,49}, {6,30}, {5,45}, {8,27}, {2,46}, {7,18}, {9,24}, {6,20}, {1,14}, {6,42}, {4,18}, {2,26}, {3,20}, {7,21}, {4,50}, {5,12}, {9,14}, {3,17}, {8,37}, {3,37}, {9,32}, {3,43}, {10,26}, {10,46}, {1,45}, {3,33}, {5,39}, {5,25}, {4,19}, {1,24}, {9,22} }; // ETB50.38 // Bipartite(20,30) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 480 EdgesBipt[50][38]:={ {2,44}, {8,48}, {16,41}, {17,50}, {10,25}, {2,24}, {10,24}, {13,32}, {6,32}, {17,35}, {17,44}, {11,36}, {4,27}, {2,46}, {5,34}, {4,24}, {15,24}, {16,33}, {12,45}, {15,46}, {10,37}, {18,32}, {4,30}, {16,40}, {9,45}, {16,47}, {8,42}, {8,28}, {18,38}, {4,29}, {20,27}, {3,45}, {1,27}, {3,25}, {12,38}, {19,24}, {7,41}, {7,44}, {10,26}, {14,38}, {7,22}, {15,44}, {3,35}, {3,37}, {15,48}, {8,39}, {7,34}, {11,41}, {1,21}, {17,24}, {7,36}, {14,50}, {17,21}, {17,40}, {9,35}, {8,44}, {4,23}, {13,29}, {11,50}, {18,34}, {19,21}, {18,42}, {16,43}, {10,30}, {6,29}, {2,45}, {16,30}, {4,38}, {19,33}, {6,21}, {5,40}, {14,23}, {6,40}, {6,31}, {20,50}, {1,38}, {2,34}, {2,36}, {9,48}, {9,47}, {5,22}, {4,22}, {3,49}, {17,37}, {9,32}, {14,21}, {14,36}, {19,26}, {5,50}, {15,32}, {9,26}, {12,36}, {15,40}, {1,44}, {4,41}, {5,29}, {2,37}, {5,43}, {19,29}, {4,42}, {5,25}, {2,39}, {17,39}, {17,23}, {1,31}, {10,41}, {11,22}, {7,43}, {11,31}, {10,28}, {7,25}, {20,31}, {15,27}, {19,38}, {6,30}, {18,49}, {13,49}, {2,48}, {16,37}, {12,43}, {17,43}, {4,35}, {8,36}, {6,33}, {7,26}, {13,33}, {14,48}, {15,50}, {18,44}, {19,42}, {11,23}, {5,30}, {14,47}, {17,27}, {13,23}, {12,28}, {12,25}, {5,49}, {15,34}, {5,48}, {8,35}, {10,42}, {13,28}, {20,45}, {19,31}, {1,28}, {18,47}, {10,46}, {18,33}, {3,29}, {13,36}, {8,26}, {16,49}, {5,42}, {16,22}, {9,22}, {12,33}, {10,43}, {20,29}, {19,46}, {8,32}, {8,21}, {1,42}, {12,23}, {14,22}, {5,31}, {6,27}, {13,24}, {11,39}, {12,40}, {3,23}, {18,25}, {20,25}, {3,21}, {1,25}, {1,46}, {16,44}, {20,46}, {6,41}, {6,28}, {18,23}, {9,30}, {19,49}, {16,21}, {20,37}, {13,26}, {10,35}, {3,30}, {20,26}, {11,37}, {6,45}, {20,34}, {2,22}, {4,34}, {3,48}, {8,50}, {11,32}, {19,39}, {19,43}, {13,41}, {1,47}, {2,31}, {10,50}, {11,40}, {9,33}, {20,47}, {11,47}, {14,43}, {15,38}, {8,49}, {16,46}, {15,28}, {9,39}, {9,38}, {12,48}, {17,45}, {12,24}, {3,28}, {7,27}, {7,45}, {1,41}, {13,37}, {18,40}, {9,46}, {6,39}, {7,33}, {12,31}, {3,47}, {13,34}, {7,35}, {15,30}, {11,42}, {4,39}, {18,35}, {20,32}, {14,27}, {1,36}, {14,29}, {2,49}, {14,26} }; // ETB50.39 // Bipartite(20,30) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2880 EdgesBipt[50][39]:={ {8,48}, {16,41}, {17,50}, {11,36}, {18,39}, {4,27}, {2,46}, {13,21}, {15,24}, {18,29}, {12,45}, {10,37}, {4,30}, {11,25}, {16,27}, {8,30}, {18,46}, {14,39}, {8,43}, {12,22}, {5,38}, {12,32}, {16,47}, {7,38}, {19,44}, {15,49}, {16,31}, {4,29}, {18,50}, {20,27}, {1,27}, {3,25}, {19,24}, {20,40}, {7,44}, {1,40}, {10,26}, {4,31}, {12,41}, {15,44}, {12,42}, {5,47}, {3,37}, {13,35}, {14,31}, {7,34}, {1,21}, {17,24}, {17,21}, {13,47}, {2,28}, {18,41}, {16,23}, {17,40}, {14,28}, {9,35}, {8,44}, {4,23}, {8,27}, {16,29}, {18,34}, {10,22}, {19,21}, {6,22}, {6,29}, {15,45}, {16,30}, {19,33}, {5,40}, {11,38}, {3,46}, {11,33}, {1,38}, {2,36}, {9,48}, {1,50}, {9,47}, {4,22}, {3,49}, {14,36}, {5,50}, {9,26}, {8,41}, {8,47}, {2,37}, {7,46}, {8,45}, {4,42}, {5,25}, {2,39}, {7,32}, {17,39}, {10,41}, {7,49}, {7,25}, {20,31}, {2,35}, {17,33}, {3,44}, {4,47}, {6,43}, {18,49}, {10,31}, {6,49}, {9,42}, {12,43}, {9,50}, {7,30}, {3,32}, {9,25}, {13,33}, {18,43}, {11,23}, {6,50}, {20,44}, {6,46}, {11,30}, {12,47}, {17,27}, {15,37}, {8,22}, {15,34}, {17,48}, {5,48}, {13,28}, {20,45}, {18,26}, {1,28}, {14,41}, {14,37}, {10,46}, {18,36}, {4,43}, {20,43}, {16,48}, {5,28}, {15,36}, {18,31}, {16,22}, {10,43}, {17,28}, {20,29}, {19,46}, {9,40}, {8,32}, {16,45}, {1,42}, {1,24}, {12,23}, {14,22}, {13,24}, {11,24}, {17,25}, {6,26}, {8,40}, {20,23}, {12,40}, {12,30}, {14,34}, {3,23}, {1,39}, {14,49}, {3,21}, {1,25}, {11,46}, {16,44}, {19,45}, {19,36}, {6,41}, {6,28}, {13,27}, {10,39}, {1,35}, {20,48}, {13,42}, {19,49}, {15,21}, {19,32}, {13,26}, {4,40}, {10,35}, {3,30}, {5,33}, {11,37}, {3,24}, {2,29}, {18,28}, {2,22}, {10,36}, {10,34}, {11,32}, {13,48}, {15,33}, {20,42}, {1,47}, {2,31}, {10,50}, {9,33}, {16,42}, {6,34}, {5,27}, {15,38}, {19,25}, {5,26}, {9,39}, {13,38}, {12,48}, {9,38}, {3,38}, {11,45}, {20,41}, {7,45}, {14,35}, {15,23}, {9,24}, {17,26}, {7,33}, {6,37}, {12,31}, {11,34}, {17,42}, {13,39}, {5,21}, {15,30}, {19,34}, {7,37}, {5,35}, {19,23}, {2,43}, {6,35}, {3,36}, {4,44}, {20,32}, {7,21}, {8,29}, {4,32}, {14,29}, {2,50}, {2,49}, {14,26} }; // ETB50.40 // Bipartite(20,30) Valencies [12,8] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15407021574586368000000 EdgesBipt[50][40]:={ {8,48}, {3,33}, {16,41}, {17,50}, {10,24}, {9,28}, {17,35}, {11,36}, {13,21}, {5,34}, {18,48}, {15,24}, {16,26}, {12,45}, {10,37}, {17,47}, {4,30}, {4,50}, {18,46}, {8,43}, {9,45}, {12,22}, {12,32}, {8,28}, {15,49}, {16,31}, {18,38}, {20,27}, {8,33}, {3,43}, {14,38}, {7,22}, {15,44}, {2,27}, {12,42}, {5,47}, {9,43}, {11,41}, {1,21}, {15,47}, {19,48}, {12,35}, {14,50}, {18,21}, {10,44}, {18,41}, {5,32}, {17,40}, {9,35}, {14,28}, {4,23}, {8,31}, {12,37}, {12,50}, {16,29}, {2,42}, {10,22}, {6,29}, {2,45}, {19,28}, {4,38}, {15,29}, {19,33}, {6,21}, {2,25}, {14,23}, {3,46}, {6,31}, {14,33}, {9,48}, {5,22}, {19,40}, {10,47}, {17,37}, {15,32}, {16,24}, {19,30}, {1,44}, {5,29}, {8,41}, {11,49}, {2,37}, {14,30}, {14,40}, {7,32}, {1,31}, {4,45}, {7,25}, {11,31}, {2,35}, {11,44}, {15,27}, {19,38}, {4,33}, {10,29}, {6,49}, {15,42}, {9,50}, {1,29}, {7,50}, {7,30}, {13,31}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {13,33}, {14,48}, {18,43}, {13,43}, {11,29}, {6,24}, {20,44}, {6,44}, {17,30}, {6,46}, {5,24}, {12,47}, {4,48}, {17,27}, {13,23}, {12,25}, {5,49}, {15,37}, {15,34}, {13,28}, {10,42}, {18,26}, {20,22}, {18,36}, {4,28}, {4,43}, {18,33}, {3,26}, {13,36}, {8,26}, {16,49}, {18,31}, {5,42}, {7,47}, {20,29}, {12,27}, {9,40}, {8,21}, {1,24}, {11,24}, {17,25}, {11,39}, {5,44}, {1,49}, {6,26}, {12,40}, {20,39}, {12,30}, {20,49}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {1,46}, {11,46}, {16,44}, {19,45}, {6,41}, {18,23}, {9,30}, {10,39}, {13,46}, {16,34}, {5,39}, {14,25}, {16,21}, {20,37}, {13,26}, {11,26}, {14,45}, {4,40}, {16,36}, {6,36}, {18,28}, {10,27}, {8,38}, {20,34}, {1,26}, {2,22}, {3,48}, {10,34}, {15,22}, {13,48}, {19,43}, {13,41}, {10,49}, {2,47}, {20,42}, {20,24}, {2,40}, {9,33}, {20,47}, {6,34}, {5,27}, {14,43}, {19,25}, {16,46}, {16,39}, {13,38}, {9,38}, {4,25}, {17,45}, {3,38}, {3,28}, {7,27}, {7,45}, {8,46}, {14,35}, {1,41}, {19,50}, {3,41}, {3,31}, {15,39}, {6,39}, {11,34}, {17,42}, {19,35}, {7,35}, {17,22}, {2,30}, {7,37}, {1,34}, {19,23}, {5,37}, {17,32}, {3,36}, {7,40}, {7,42}, {9,23}, {20,32}, {1,36}, {2,50} }; // ETB50.41 // Bipartite(20,30) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23776267862016000000 EdgesBipt[50][41]:={ {6,48}, {3,33}, {10,25}, {13,32}, {17,44}, {11,36}, {5,34}, {15,24}, {16,33}, {4,26}, {3,22}, {12,45}, {17,47}, {18,32}, {18,46}, {9,45}, {12,22}, {12,32}, {8,42}, {15,49}, {3,43}, {10,23}, {20,40}, {7,44}, {17,34}, {14,38}, {7,22}, {4,31}, {15,44}, {10,33}, {2,27}, {12,42}, {3,37}, {14,31}, {7,34}, {11,41}, {1,21}, {17,24}, {12,35}, {18,21}, {13,47}, {18,41}, {16,23}, {9,35}, {14,28}, {20,30}, {4,23}, {8,31}, {8,27}, {12,37}, {12,50}, {16,29}, {2,42}, {19,21}, {15,25}, {18,42}, {16,43}, {18,37}, {10,30}, {6,29}, {2,45}, {15,45}, {4,38}, {15,29}, {2,25}, {5,40}, {14,23}, {20,38}, {10,48}, {20,50}, {14,33}, {10,38}, {19,40}, {17,37}, {14,21}, {14,36}, {19,26}, {5,50}, {16,24}, {9,26}, {19,30}, {15,40}, {1,44}, {4,41}, {5,29}, {8,41}, {8,47}, {11,49}, {2,37}, {7,39}, {9,41}, {5,25}, {7,32}, {17,39}, {1,31}, {7,49}, {10,28}, {11,31}, {2,35}, {11,44}, {20,33}, {6,43}, {4,33}, {4,21}, {13,22}, {6,49}, {10,40}, {9,50}, {1,29}, {3,32}, {11,21}, {9,25}, {8,36}, {6,33}, {2,32}, {13,33}, {14,48}, {15,50}, {13,43}, {11,29}, {6,24}, {5,30}, {6,44}, {19,41}, {15,35}, {5,24}, {12,47}, {4,48}, {17,27}, {17,49}, {13,23}, {12,25}, {5,49}, {8,22}, {15,34}, {20,28}, {13,28}, {20,45}, {18,26}, {19,31}, {18,27}, {14,41}, {3,27}, {18,47}, {18,36}, {4,28}, {4,43}, {10,45}, {20,43}, {6,23}, {16,48}, {4,46}, {16,38}, {8,37}, {8,26}, {16,49}, {18,31}, {10,43}, {4,36}, {7,47}, {12,27}, {19,46}, {9,40}, {8,32}, {8,21}, {1,24}, {11,24}, {11,39}, {5,44}, {1,49}, {20,23}, {12,40}, {12,30}, {3,23}, {1,39}, {17,29}, {20,25}, {1,46}, {11,46}, {16,44}, {19,45}, {7,29}, {19,36}, {6,28}, {9,30}, {13,27}, {20,48}, {13,42}, {16,34}, {5,39}, {20,35}, {11,26}, {10,35}, {1,26}, {2,22}, {3,48}, {18,22}, {13,48}, {2,47}, {6,38}, {2,40}, {10,50}, {9,36}, {6,34}, {14,43}, {19,25}, {3,42}, {16,39}, {13,38}, {3,38}, {3,28}, {7,27}, {8,46}, {1,41}, {13,37}, {19,50}, {5,45}, {7,24}, {15,39}, {9,46}, {6,39}, {14,46}, {11,34}, {3,47}, {17,42}, {19,35}, {17,22}, {2,30}, {15,30}, {7,37}, {5,35}, {9,31}, {1,34}, {17,32}, {9,21}, {16,28}, {7,42}, {1,36}, {2,50}, {14,26} }; // ETB50.42 // Bipartite(20,30) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 57776330904698880 EdgesBipt[50][42]:={ {6,48}, {3,33}, {16,41}, {10,25}, {2,33}, {4,27}, {13,40}, {4,26}, {3,40}, {17,38}, {17,47}, {8,30}, {18,46}, {7,48}, {2,23}, {8,43}, {9,45}, {12,22}, {12,32}, {7,38}, {15,49}, {16,31}, {18,50}, {8,33}, {3,43}, {12,38}, {20,40}, {7,22}, {4,31}, {2,27}, {12,42}, {19,47}, {14,31}, {11,41}, {1,21}, {2,28}, {5,32}, {9,35}, {20,30}, {8,44}, {12,37}, {16,29}, {2,42}, {18,34}, {10,22}, {19,21}, {15,25}, {11,28}, {10,30}, {6,29}, {15,45}, {15,29}, {6,21}, {3,34}, {5,40}, {11,38}, {3,46}, {6,31}, {20,50}, {1,38}, {9,47}, {5,22}, {17,37}, {14,21}, {14,36}, {19,26}, {5,50}, {15,32}, {16,24}, {9,26}, {9,27}, {15,40}, {1,44}, {4,41}, {5,29}, {2,38}, {11,49}, {2,37}, {9,41}, {5,25}, {7,32}, {17,23}, {1,31}, {4,45}, {7,43}, {11,31}, {17,33}, {11,44}, {3,44}, {4,47}, {4,21}, {10,29}, {6,49}, {15,42}, {2,48}, {10,40}, {12,43}, {17,43}, {1,29}, {18,30}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {13,33}, {15,50}, {18,44}, {18,43}, {13,43}, {11,29}, {6,24}, {13,44}, {5,30}, {13,50}, {14,47}, {6,44}, {19,41}, {15,35}, {9,37}, {12,47}, {17,27}, {13,23}, {12,28}, {5,49}, {17,48}, {18,24}, {10,42}, {20,45}, {18,26}, {19,31}, {1,28}, {14,41}, {3,50}, {14,37}, {20,22}, {18,36}, {10,45}, {18,33}, {16,48}, {4,46}, {3,26}, {16,38}, {13,36}, {8,26}, {16,49}, {5,42}, {12,33}, {13,30}, {4,36}, {7,47}, {17,28}, {20,29}, {12,27}, {19,46}, {1,24}, {12,23}, {13,24}, {11,24}, {11,39}, {1,49}, {8,40}, {20,39}, {20,49}, {3,23}, {8,23}, {1,39}, {10,32}, {20,25}, {16,44}, {19,45}, {19,36}, {6,41}, {6,28}, {18,23}, {10,39}, {13,46}, {16,34}, {5,39}, {14,25}, {16,21}, {20,35}, {7,28}, {4,37}, {13,26}, {14,45}, {10,35}, {7,23}, {3,30}, {8,34}, {3,24}, {2,22}, {8,50}, {15,22}, {8,24}, {2,47}, {10,49}, {20,42}, {6,38}, {10,50}, {9,36}, {6,34}, {19,25}, {16,39}, {12,48}, {4,25}, {11,48}, {7,27}, {8,46}, {14,35}, {1,41}, {5,45}, {1,48}, {15,39}, {18,40}, {9,46}, {6,39}, {14,46}, {7,33}, {13,34}, {11,34}, {17,42}, {19,35}, {17,22}, {15,30}, {7,37}, {5,35}, {9,31}, {1,34}, {2,43}, {17,32}, {9,21}, {3,36}, {16,28}, {7,42}, {19,37}, {20,32}, {14,27}, {19,27}, {14,26} }; // ETB50.43 // Bipartite(20,30) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2476694568960 EdgesBipt[50][43]:={ {16,41}, {10,25}, {9,28}, {17,35}, {17,44}, {12,29}, {5,34}, {13,40}, {15,24}, {16,33}, {3,40}, {17,38}, {15,46}, {17,47}, {18,32}, {4,30}, {4,50}, {16,40}, {7,48}, {14,39}, {9,45}, {12,22}, {12,32}, {7,38}, {8,42}, {16,31}, {4,29}, {1,27}, {10,23}, {12,38}, {7,44}, {1,40}, {10,26}, {17,34}, {12,39}, {12,41}, {9,49}, {15,44}, {10,33}, {12,42}, {5,47}, {3,37}, {7,34}, {11,41}, {1,21}, {15,47}, {17,24}, {19,48}, {14,50}, {15,43}, {18,21}, {8,25}, {2,41}, {13,47}, {2,28}, {1,30}, {18,41}, {16,23}, {9,35}, {8,44}, {4,23}, {8,31}, {13,29}, {11,50}, {2,42}, {18,34}, {10,22}, {18,42}, {11,28}, {16,43}, {16,30}, {19,28}, {6,21}, {14,23}, {11,38}, {3,46}, {6,40}, {6,31}, {1,38}, {14,33}, {9,48}, {1,50}, {4,22}, {3,49}, {9,29}, {17,37}, {19,26}, {16,24}, {9,26}, {8,41}, {2,38}, {12,49}, {5,43}, {19,29}, {8,45}, {14,30}, {14,40}, {4,42}, {2,39}, {15,26}, {1,31}, {7,25}, {11,31}, {15,27}, {19,38}, {20,33}, {6,30}, {6,43}, {4,33}, {5,23}, {13,49}, {2,48}, {3,39}, {11,21}, {9,25}, {2,32}, {6,33}, {18,44}, {6,50}, {6,24}, {13,50}, {6,44}, {11,30}, {5,24}, {17,27}, {5,46}, {12,28}, {15,37}, {8,22}, {14,42}, {15,34}, {17,48}, {18,24}, {8,35}, {10,42}, {20,45}, {1,28}, {3,50}, {3,27}, {20,22}, {10,46}, {4,43}, {10,45}, {20,43}, {3,29}, {6,23}, {3,26}, {13,36}, {15,36}, {18,31}, {13,30}, {10,43}, {7,47}, {17,28}, {19,46}, {8,32}, {8,21}, {14,22}, {17,25}, {5,44}, {20,23}, {10,32}, {14,49}, {18,25}, {20,25}, {5,36}, {16,44}, {19,45}, {20,46}, {19,36}, {6,41}, {13,27}, {13,46}, {19,49}, {1,37}, {16,34}, {16,21}, {20,35}, {7,28}, {13,26}, {4,40}, {10,35}, {2,21}, {3,30}, {5,33}, {8,34}, {20,26}, {11,37}, {2,29}, {11,27}, {2,22}, {10,36}, {18,22}, {14,32}, {15,33}, {8,24}, {19,39}, {20,42}, {1,47}, {4,49}, {2,31}, {11,40}, {9,36}, {20,36}, {6,34}, {11,47}, {5,27}, {14,43}, {19,25}, {5,26}, {18,45}, {9,39}, {12,48}, {9,38}, {17,45}, {11,48}, {7,27}, {7,45}, {15,23}, {1,41}, {13,37}, {1,48}, {7,24}, {9,46}, {12,31}, {3,47}, {19,35}, {7,35}, {13,39}, {16,50}, {7,37}, {5,37}, {3,36}, {4,39}, {18,35}, {20,32}, {4,32}, {12,21}, {14,29}, {2,49} }; // ETB50.44 // Bipartite(20,30) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 245760 EdgesBipt[50][44]:={ {8,48}, {13,32}, {6,32}, {17,44}, {2,46}, {11,35}, {5,34}, {18,48}, {4,24}, {15,24}, {4,26}, {3,22}, {15,46}, {10,37}, {16,27}, {16,40}, {7,48}, {2,23}, {8,43}, {12,22}, {8,42}, {16,31}, {18,38}, {15,31}, {4,29}, {8,33}, {3,25}, {12,38}, {7,41}, {7,44}, {10,26}, {12,39}, {15,44}, {10,33}, {12,42}, {3,35}, {5,47}, {3,37}, {20,21}, {13,35}, {1,21}, {15,47}, {17,24}, {16,25}, {12,35}, {15,43}, {12,34}, {18,41}, {14,28}, {20,30}, {8,44}, {4,23}, {8,31}, {8,27}, {12,50}, {2,42}, {19,21}, {15,25}, {18,42}, {10,30}, {16,30}, {19,33}, {3,34}, {5,40}, {14,23}, {11,38}, {3,46}, {11,33}, {6,31}, {6,40}, {20,50}, {1,38}, {2,34}, {4,22}, {3,49}, {19,40}, {16,24}, {19,30}, {9,27}, {15,40}, {8,41}, {2,38}, {8,47}, {12,46}, {5,43}, {8,45}, {9,41}, {5,25}, {2,39}, {7,32}, {10,41}, {11,22}, {7,49}, {14,24}, {2,35}, {1,22}, {19,38}, {20,33}, {6,30}, {4,47}, {5,23}, {10,29}, {13,22}, {15,42}, {10,21}, {9,42}, {13,49}, {16,37}, {12,43}, {9,50}, {1,29}, {7,30}, {3,39}, {3,32}, {11,21}, {8,36}, {14,48}, {18,44}, {19,42}, {18,43}, {16,32}, {11,23}, {1,23}, {11,29}, {6,24}, {13,50}, {14,47}, {17,30}, {19,41}, {5,24}, {9,37}, {4,48}, {17,27}, {17,49}, {5,46}, {1,45}, {15,34}, {17,48}, {13,25}, {13,28}, {20,45}, {18,27}, {3,50}, {18,47}, {18,36}, {4,28}, {1,33}, {10,45}, {18,33}, {1,43}, {3,26}, {4,46}, {15,36}, {17,31}, {18,31}, {5,42}, {7,31}, {17,28}, {20,29}, {9,40}, {12,23}, {14,22}, {5,31}, {6,27}, {5,44}, {12,40}, {20,49}, {10,32}, {14,49}, {17,29}, {5,36}, {17,41}, {7,29}, {19,36}, {6,28}, {9,30}, {1,35}, {13,46}, {16,34}, {14,25}, {20,35}, {7,28}, {20,37}, {13,26}, {11,26}, {10,35}, {16,36}, {6,36}, {2,21}, {20,26}, {8,38}, {1,26}, {2,22}, {14,44}, {19,39}, {6,25}, {10,49}, {1,47}, {4,49}, {2,40}, {10,50}, {9,33}, {9,36}, {6,34}, {11,47}, {18,45}, {16,39}, {9,39}, {9,38}, {4,25}, {17,45}, {11,45}, {11,48}, {3,28}, {7,27}, {20,41}, {7,45}, {15,23}, {13,37}, {19,50}, {1,48}, {7,24}, {6,39}, {14,46}, {6,37}, {13,34}, {13,39}, {11,43}, {2,43}, {17,32}, {9,21}, {16,28}, {4,44}, {19,37}, {20,32}, {19,27}, {12,21}, {14,29}, {2,50}, {14,26} }; // ETB50.45 // Bipartite(20,30) Valencies [12,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24159191040 EdgesBipt[50][45]:={ {6,48}, {10,24}, {9,28}, {13,32}, {2,33}, {6,32}, {11,36}, {17,36}, {2,46}, {11,35}, {15,24}, {16,33}, {3,22}, {12,45}, {18,32}, {4,30}, {4,50}, {18,46}, {2,23}, {5,38}, {16,47}, {8,42}, {19,44}, {4,29}, {18,50}, {20,27}, {12,38}, {19,24}, {7,41}, {9,44}, {7,22}, {12,41}, {15,44}, {2,27}, {12,42}, {9,43}, {3,37}, {2,26}, {11,41}, {1,21}, {19,48}, {7,36}, {14,50}, {17,21}, {8,25}, {2,41}, {13,47}, {16,23}, {17,40}, {20,30}, {8,31}, {8,27}, {13,29}, {11,50}, {2,42}, {15,25}, {18,42}, {16,43}, {18,37}, {10,30}, {2,45}, {19,28}, {15,29}, {19,33}, {6,47}, {6,21}, {3,34}, {5,40}, {14,33}, {9,48}, {1,50}, {3,49}, {9,29}, {10,47}, {17,37}, {15,40}, {5,29}, {2,38}, {8,47}, {12,46}, {11,49}, {19,29}, {14,30}, {14,40}, {19,22}, {5,25}, {1,31}, {4,45}, {7,43}, {11,31}, {10,28}, {7,25}, {15,27}, {3,44}, {6,43}, {4,33}, {5,23}, {13,22}, {15,42}, {13,49}, {2,48}, {17,43}, {7,30}, {3,32}, {11,21}, {4,35}, {7,26}, {6,33}, {14,48}, {16,32}, {6,50}, {13,44}, {17,30}, {5,24}, {9,37}, {4,48}, {13,23}, {8,22}, {20,28}, {8,35}, {10,42}, {20,45}, {19,31}, {18,27}, {18,47}, {10,45}, {20,43}, {3,29}, {6,23}, {16,48}, {3,26}, {16,38}, {8,37}, {15,36}, {18,31}, {5,42}, {12,26}, {9,22}, {12,33}, {10,43}, {17,28}, {12,27}, {19,46}, {8,32}, {1,24}, {12,23}, {11,24}, {17,25}, {11,39}, {5,44}, {1,49}, {8,40}, {20,39}, {12,30}, {20,49}, {3,23}, {14,34}, {1,39}, {10,32}, {14,49}, {18,25}, {5,36}, {1,46}, {11,46}, {17,41}, {6,28}, {10,39}, {1,35}, {15,21}, {5,39}, {14,25}, {16,21}, {7,28}, {13,26}, {11,26}, {14,45}, {4,40}, {16,36}, {6,36}, {16,35}, {10,27}, {20,34}, {1,26}, {4,34}, {14,44}, {10,34}, {8,50}, {18,22}, {19,39}, {19,43}, {10,49}, {13,41}, {20,42}, {6,38}, {20,24}, {4,49}, {2,31}, {9,33}, {20,47}, {5,27}, {15,38}, {9,39}, {13,38}, {12,48}, {4,25}, {17,45}, {3,38}, {7,45}, {8,46}, {14,35}, {15,23}, {1,41}, {13,37}, {3,41}, {15,39}, {9,24}, {18,40}, {9,46}, {17,26}, {12,31}, {11,34}, {3,47}, {13,34}, {17,22}, {16,50}, {5,21}, {2,30}, {7,37}, {9,31}, {1,34}, {6,35}, {16,28}, {18,35}, {7,40}, {4,44}, {19,37}, {20,32}, {7,21}, {1,36}, {14,29} }; // ETB50.46 // Bipartite(20,30) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1474560 EdgesBipt[50][46]:={ {6,48}, {17,50}, {10,24}, {9,28}, {2,33}, {6,32}, {13,21}, {4,24}, {16,33}, {18,29}, {15,46}, {10,37}, {18,32}, {4,30}, {4,50}, {11,25}, {16,40}, {7,48}, {16,47}, {8,42}, {18,38}, {18,50}, {20,27}, {3,45}, {8,33}, {7,41}, {10,26}, {14,38}, {12,39}, {4,31}, {12,41}, {15,44}, {10,33}, {3,35}, {9,43}, {13,35}, {2,26}, {14,31}, {11,41}, {16,25}, {14,50}, {17,21}, {10,44}, {2,41}, {13,47}, {2,28}, {1,30}, {18,41}, {17,40}, {9,35}, {14,28}, {4,23}, {17,46}, {13,29}, {18,34}, {10,22}, {19,21}, {15,25}, {18,42}, {15,45}, {19,28}, {4,38}, {6,47}, {3,34}, {5,40}, {14,23}, {11,38}, {3,46}, {6,40}, {1,38}, {2,36}, {4,22}, {3,49}, {17,37}, {9,32}, {19,26}, {5,50}, {9,26}, {9,27}, {12,36}, {15,40}, {8,41}, {12,49}, {8,45}, {7,46}, {14,30}, {19,22}, {5,25}, {2,39}, {7,32}, {7,43}, {14,24}, {20,31}, {15,27}, {20,33}, {18,49}, {5,23}, {10,29}, {10,31}, {9,34}, {15,42}, {13,49}, {16,37}, {17,43}, {7,50}, {3,39}, {9,25}, {8,36}, {6,33}, {14,48}, {15,50}, {16,32}, {20,44}, {5,30}, {6,44}, {11,30}, {12,47}, {4,48}, {17,27}, {5,46}, {13,23}, {12,28}, {8,22}, {17,48}, {10,42}, {20,22}, {18,36}, {4,28}, {4,43}, {18,33}, {3,29}, {16,48}, {1,43}, {16,38}, {15,36}, {17,31}, {5,42}, {12,26}, {9,22}, {7,31}, {12,33}, {20,29}, {8,32}, {16,45}, {1,42}, {1,24}, {14,22}, {11,24}, {13,24}, {5,44}, {12,40}, {20,39}, {12,30}, {3,23}, {14,49}, {17,29}, {5,36}, {3,21}, {1,25}, {1,46}, {11,46}, {16,44}, {17,41}, {7,29}, {19,36}, {6,28}, {10,39}, {13,46}, {1,37}, {5,39}, {20,35}, {19,32}, {20,37}, {11,26}, {10,35}, {2,21}, {8,34}, {20,26}, {11,37}, {3,24}, {16,35}, {10,27}, {8,38}, {6,45}, {1,26}, {14,44}, {3,48}, {8,50}, {18,22}, {13,48}, {19,43}, {2,47}, {6,25}, {20,42}, {1,47}, {6,38}, {20,24}, {4,49}, {2,40}, {2,31}, {9,36}, {11,47}, {5,27}, {14,43}, {8,49}, {19,25}, {18,45}, {7,27}, {15,23}, {1,41}, {5,45}, {15,39}, {6,37}, {12,31}, {11,34}, {3,47}, {13,34}, {19,35}, {13,39}, {11,43}, {2,30}, {13,45}, {15,30}, {19,34}, {7,37}, {1,34}, {19,23}, {6,35}, {17,32}, {11,42}, {9,21}, {16,28}, {7,40}, {4,44}, {9,23}, {7,21}, {8,29}, {19,27}, {12,21}, {2,49} }; // ETB50.47 // Bipartite(25,25) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1200 EdgesBipt[50][47]:={ {24,34}, {15,33}, {19,28}, {10,37}, {16,47}, {15,38}, {5,38}, {23,29}, {19,26}, {4,28}, {5,43}, {25,47}, {3,26}, {1,49}, {13,37}, {14,38}, {2,35}, {17,33}, {20,46}, {21,30}, {15,27}, {24,32}, {21,41}, {2,49}, {16,37}, {21,28}, {8,31}, {4,37}, {2,46}, {13,43}, {10,48}, {13,40}, {2,33}, {6,32}, {11,35}, {12,28}, {12,48}, {21,40}, {16,48}, {16,49}, {12,46}, {20,43}, {24,46}, {5,41}, {17,39}, {21,38}, {7,41}, {7,27}, {12,42}, {6,39}, {25,34}, {11,39}, {10,26}, {7,33}, {12,31}, {23,28}, {17,26}, {13,47}, {15,30}, {20,39}, {24,50}, {24,47}, {18,35}, {24,31}, {24,45}, {20,35}, {23,43}, {1,36}, {19,42}, {23,42}, {12,37}, {6,46}, {15,45}, {10,35}, {6,44}, {24,26}, {8,38}, {17,47}, {9,47}, {4,49}, {5,50}, {17,36}, {2,29}, {18,47}, {18,46}, {1,26}, {14,32}, {2,36}, {8,49}, {22,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {18,33}, {22,43}, {5,28}, {20,41}, {1,42}, {19,38}, {1,31}, {13,49}, {6,27}, {11,42}, {25,29}, {17,29}, {25,44}, {22,49}, {2,44}, {1,30}, {21,45}, {19,27}, {8,50}, {14,28}, {6,36}, {23,39}, {23,40}, {16,29}, {3,30}, {13,48}, {1,47}, {22,48}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {11,33}, {21,31}, {19,30}, {11,48}, {4,41}, {8,41}, {9,26}, {18,38}, {21,37}, {8,45}, {3,29}, {13,36}, {1,41}, {4,45}, {25,32}, {12,41}, {11,44}, {13,45}, {4,47}, {3,44}, {11,34}, {7,35}, {19,45}, {22,30}, {6,30}, {10,31}, {9,31}, {25,46}, {13,50}, {23,35}, {20,30}, {9,30}, {5,39}, {14,27}, {8,34}, {15,46}, {17,30}, {20,47}, {12,45}, {4,34}, {17,38}, {12,29}, {11,32}, {3,42}, {19,50}, {14,37}, {15,49}, {19,44}, {18,31}, {14,40}, {24,43}, {16,31}, {25,38}, {7,39}, {3,41}, {15,39}, {22,41}, {1,32}, {24,29}, {6,37}, {8,32}, {24,27}, {5,31}, {20,48}, {16,44}, {4,44}, {7,40}, {12,50}, {17,41}, {20,32}, {2,26}, {25,42}, {17,50}, {10,40}, {23,37}, {7,29}, {18,30}, {14,47}, {8,36}, {13,44}, {8,27}, {2,45}, {3,48}, {14,26}, {20,50}, {23,32}, {11,30}, {3,50}, {9,28}, {3,34}, {4,27}, {19,43}, {18,28}, {15,29}, {4,46}, {25,36}, {25,39}, {16,38}, {11,45}, {12,36}, {16,27}, {5,26}, {7,47}, {16,50}, {21,34}, {7,31}, {17,34}, {18,49}, {22,33}, {11,31}, {21,44}, {19,35}, {13,34}, {15,42}, {22,27}, {21,43}, {7,42}, {23,49}, {21,29}, {19,36}, {6,28}, {4,35}, {13,33}, {5,49}, {20,45}, {16,35}, {14,42}, {10,27}, {10,34}, {3,40}, {2,40}, {9,45}, {14,41}, {17,37}, {3,27}, {2,38}, {23,50}, {22,35}, {10,43}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {20,40}, {5,44}, {22,36}, {1,46}, {8,39}, {22,32}, {25,28}, {24,33}, {15,43}, {4,39}, {25,48}, {12,35}, {23,26}, {6,50}, {14,48}, {22,28}, {1,37}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {6,40} }; // ETB50.48 // Bipartite(15,35) Valencies [14,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 252876769144602624000000 EdgesBipt[50][48]:={ {8,48}, {3,33}, {10,24}, {5,17}, {9,28}, {6,16}, {11,36}, {13,21}, {5,34}, {15,24}, {12,45}, {10,37}, {4,30}, {4,50}, {8,43}, {9,45}, {12,22}, {12,32}, {8,28}, {15,49}, {8,33}, {3,43}, {14,38}, {7,22}, {15,44}, {1,19}, {2,27}, {12,42}, {5,47}, {9,43}, {1,21}, {11,41}, {15,47}, {12,35}, {14,50}, {10,44}, {5,32}, {9,35}, {14,28}, {4,23}, {8,31}, {12,37}, {12,50}, {13,16}, {2,42}, {10,22}, {3,18}, {6,29}, {8,16}, {2,45}, {4,38}, {15,29}, {6,21}, {2,25}, {14,23}, {3,46}, {6,31}, {14,33}, {9,48}, {5,22}, {10,47}, {7,20}, {12,17}, {15,32}, {12,20}, {1,44}, {5,29}, {8,41}, {11,49}, {2,37}, {14,30}, {14,40}, {7,32}, {1,31}, {4,45}, {7,25}, {11,31}, {2,35}, {11,44}, {15,27}, {4,33}, {10,29}, {6,49}, {15,19}, {15,42}, {2,20}, {13,18}, {9,50}, {1,29}, {7,50}, {7,30}, {13,31}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {13,33}, {14,48}, {13,43}, {11,29}, {6,24}, {6,44}, {7,17}, {6,46}, {5,24}, {12,47}, {4,48}, {13,23}, {5,49}, {12,25}, {15,37}, {15,34}, {10,42}, {13,28}, {9,20}, {4,28}, {4,43}, {15,17}, {3,26}, {13,36}, {8,26}, {5,42}, {2,17}, {7,47}, {12,27}, {9,40}, {8,21}, {1,24}, {14,18}, {11,24}, {1,49}, {5,44}, {11,39}, {6,26}, {12,40}, {12,30}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {6,19}, {1,46}, {11,46}, {6,41}, {9,30}, {10,39}, {13,46}, {14,20}, {5,39}, {14,25}, {3,16}, {11,26}, {13,26}, {14,45}, {4,40}, {11,16}, {6,36}, {9,18}, {10,17}, {10,27}, {8,38}, {1,26}, {2,22}, {1,16}, {3,48}, {10,34}, {15,22}, {13,48}, {2,47}, {10,49}, {13,41}, {2,40}, {9,33}, {6,34}, {5,27}, {14,43}, {8,18}, {4,18}, {13,38}, {9,38}, {11,19}, {10,19}, {4,25}, {3,38}, {4,20}, {3,28}, {7,27}, {7,45}, {8,46}, {14,35}, {1,41}, {3,41}, {3,31}, {15,39}, {6,39}, {11,34}, {5,19}, {7,35}, {2,30}, {7,37}, {1,34}, {5,37}, {3,36}, {7,40}, {7,42}, {9,23}, {1,36}, {2,50} }; // ETB50.49 // Bipartite(20,30) Valencies [15,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14860167413760000000000 EdgesBipt[50][49]:={ {13,21}, {18,45}, {19,28}, {11,40}, {14,36}, {11,49}, {9,32}, {5,38}, {11,25}, {5,45}, {8,26}, {13,39}, {11,43}, {17,33}, {4,31}, {3,35}, {10,33}, {3,23}, {10,39}, {1,21}, {14,45}, {6,48}, {16,37}, {19,37}, {20,37}, {5,32}, {1,35}, {15,41}, {8,31}, {4,37}, {2,46}, {13,27}, {10,48}, {2,33}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {10,42}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {4,30}, {16,49}, {8,30}, {9,33}, {20,43}, {8,37}, {20,24}, {5,41}, {17,39}, {12,38}, {7,41}, {20,49}, {12,26}, {19,22}, {12,42}, {6,39}, {12,31}, {17,26}, {13,47}, {2,48}, {16,25}, {9,35}, {1,29}, {12,37}, {6,46}, {16,43}, {18,39}, {8,38}, {13,26}, {17,47}, {9,47}, {4,49}, {5,50}, {6,24}, {1,38}, {18,46}, {1,26}, {2,36}, {8,49}, {13,41}, {20,36}, {20,42}, {6,34}, {9,29}, {9,39}, {12,49}, {8,42}, {18,33}, {18,36}, {5,27}, {19,46}, {3,43}, {15,28}, {14,46}, {2,39}, {3,47}, {12,24}, {3,31}, {19,47}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {19,23}, {19,49}, {17,29}, {8,48}, {20,25}, {4,32}, {8,50}, {14,28}, {6,36}, {1,47}, {2,24}, {11,23}, {10,36}, {14,33}, {15,37}, {15,34}, {10,46}, {18,22}, {14,39}, {8,24}, {9,38}, {14,21}, {9,26}, {7,46}, {3,29}, {1,41}, {15,23}, {13,45}, {20,31}, {3,25}, {11,34}, {7,35}, {11,46}, {2,27}, {12,30}, {6,30}, {7,34}, {13,50}, {20,30}, {5,39}, {14,27}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {15,46}, {10,22}, {10,30}, {4,50}, {16,30}, {7,23}, {6,22}, {17,38}, {15,35}, {16,26}, {12,25}, {15,40}, {3,22}, {1,44}, {13,38}, {15,49}, {14,40}, {7,49}, {9,41}, {16,31}, {3,41}, {4,36}, {1,32}, {9,44}, {19,29}, {8,32}, {10,28}, {20,48}, {19,34}, {16,44}, {4,44}, {7,40}, {12,50}, {17,41}, {5,23}, {12,43}, {20,32}, {17,50}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {9,23}, {8,36}, {13,44}, {2,45}, {16,36}, {13,32}, {1,45}, {20,50}, {3,34}, {2,21}, {19,43}, {18,28}, {15,29}, {11,47}, {2,22}, {18,24}, {8,43}, {16,38}, {1,33}, {18,27}, {12,36}, {12,44}, {5,26}, {19,25}, {7,47}, {4,42}, {5,29}, {16,50}, {4,25}, {14,30}, {3,28}, {7,31}, {5,47}, {15,47}, {11,31}, {14,24}, {19,35}, {11,41}, {7,25}, {9,50}, {7,22}, {13,35}, {5,21}, {17,21}, {8,44}, {6,28}, {6,42}, {13,33}, {1,50}, {11,37}, {11,28}, {1,23}, {10,24}, {14,42}, {10,27}, {10,34}, {3,40}, {17,27}, {10,45}, {13,23}, {2,40}, {6,21}, {15,22}, {17,45}, {9,45}, {4,26}, {16,24}, {9,27}, {12,32}, {15,31}, {7,43}, {18,40}, {1,27}, {5,44}, {17,23}, {3,37}, {14,22}, {15,43}, {17,32}, {14,48}, {8,25}, {2,42}, {18,42}, {16,32}, {4,48}, {6,33}, {18,34}, {18,48}, {3,46}, {15,25}, {5,33}, {6,40} }; // ETB50.50 // Bipartite(20,30) Valencies [15,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 183458856960000000 EdgesBipt[50][50]:={ {13,21}, {15,33}, {10,37}, {16,47}, {9,32}, {6,25}, {5,22}, {19,26}, {4,28}, {5,45}, {12,22}, {3,26}, {8,26}, {13,39}, {4,31}, {8,40}, {3,35}, {10,33}, {14,31}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {3,21}, {6,48}, {3,39}, {16,37}, {19,37}, {20,37}, {1,35}, {4,37}, {4,40}, {2,46}, {13,27}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {12,48}, {4,43}, {16,42}, {18,32}, {16,48}, {16,49}, {12,46}, {20,43}, {8,46}, {12,38}, {7,41}, {20,49}, {12,26}, {12,42}, {11,39}, {6,49}, {10,26}, {12,40}, {19,48}, {13,47}, {1,24}, {2,48}, {15,30}, {20,39}, {18,35}, {16,25}, {1,36}, {1,29}, {19,42}, {16,43}, {15,45}, {8,38}, {13,26}, {17,47}, {4,49}, {6,24}, {5,34}, {18,47}, {18,46}, {2,36}, {13,41}, {8,22}, {18,29}, {9,36}, {18,26}, {4,22}, {3,38}, {5,27}, {15,28}, {5,28}, {14,46}, {3,47}, {1,42}, {12,24}, {19,38}, {1,39}, {7,37}, {2,30}, {11,42}, {14,34}, {19,49}, {4,21}, {17,29}, {20,25}, {2,44}, {1,30}, {8,50}, {14,28}, {11,21}, {6,36}, {16,29}, {11,36}, {1,47}, {2,24}, {11,23}, {14,33}, {10,38}, {15,34}, {11,33}, {18,22}, {14,39}, {11,48}, {19,30}, {8,47}, {8,41}, {9,38}, {14,21}, {9,26}, {18,38}, {7,46}, {3,29}, {17,31}, {1,41}, {4,45}, {3,44}, {13,45}, {20,31}, {19,24}, {17,28}, {7,35}, {12,30}, {6,30}, {4,33}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {17,46}, {13,50}, {9,30}, {5,39}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {20,44}, {13,29}, {8,34}, {9,25}, {15,46}, {5,40}, {16,30}, {7,23}, {4,34}, {10,25}, {6,31}, {15,24}, {15,40}, {14,43}, {19,50}, {14,37}, {13,38}, {19,44}, {14,40}, {1,48}, {7,49}, {16,31}, {6,23}, {3,41}, {15,39}, {9,44}, {6,43}, {6,37}, {8,32}, {9,24}, {17,22}, {17,25}, {7,40}, {12,50}, {17,41}, {20,32}, {2,26}, {18,41}, {10,21}, {7,29}, {2,28}, {8,29}, {13,44}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {1,45}, {10,50}, {20,50}, {11,30}, {3,50}, {4,27}, {19,43}, {18,28}, {5,24}, {2,22}, {11,47}, {4,46}, {11,45}, {1,33}, {12,36}, {3,45}, {12,44}, {19,25}, {7,47}, {4,25}, {7,31}, {17,34}, {20,27}, {14,49}, {20,33}, {15,48}, {11,41}, {7,25}, {9,50}, {7,22}, {15,42}, {13,35}, {5,21}, {2,50}, {6,41}, {17,40}, {12,34}, {8,44}, {19,36}, {16,23}, {6,42}, {18,23}, {19,32}, {13,33}, {15,21}, {14,25}, {20,45}, {1,23}, {16,35}, {10,27}, {13,23}, {10,45}, {8,35}, {2,40}, {15,22}, {18,50}, {17,37}, {16,24}, {3,27}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {8,28}, {9,49}, {7,43}, {18,40}, {1,27}, {17,23}, {9,43}, {14,22}, {9,42}, {5,36}, {10,32}, {4,39}, {6,35}, {17,43}, {20,21}, {2,42}, {2,32}, {18,34}, {17,49}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37} }; // ETB50.51 // Bipartite(20,30) Valencies [15,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2149908480000000 EdgesBipt[50][51]:={ {15,33}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {6,25}, {5,22}, {19,26}, {4,28}, {5,45}, {12,22}, {14,38}, {17,42}, {14,50}, {20,46}, {8,21}, {14,31}, {15,27}, {1,21}, {14,45}, {20,37}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {2,46}, {10,48}, {16,21}, {19,21}, {14,44}, {2,33}, {17,35}, {6,32}, {4,38}, {3,49}, {10,42}, {6,29}, {19,40}, {2,34}, {12,28}, {16,42}, {16,48}, {8,30}, {12,46}, {20,43}, {7,45}, {8,37}, {5,41}, {12,38}, {7,41}, {20,49}, {12,26}, {13,30}, {7,27}, {19,22}, {6,49}, {10,26}, {7,33}, {12,31}, {12,40}, {20,29}, {13,47}, {13,24}, {2,48}, {13,42}, {20,35}, {9,35}, {1,29}, {12,37}, {15,45}, {18,39}, {6,44}, {4,23}, {13,26}, {17,47}, {9,47}, {17,36}, {5,34}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {8,49}, {13,41}, {9,36}, {9,29}, {12,49}, {8,42}, {4,22}, {18,33}, {5,27}, {19,46}, {3,43}, {5,28}, {20,41}, {2,39}, {9,46}, {19,38}, {3,31}, {11,22}, {1,39}, {2,30}, {11,42}, {5,35}, {3,36}, {17,29}, {8,48}, {20,25}, {4,32}, {19,27}, {11,36}, {3,30}, {13,48}, {1,47}, {2,24}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {18,22}, {14,39}, {11,48}, {8,24}, {4,41}, {14,21}, {8,45}, {17,31}, {13,36}, {1,41}, {20,22}, {15,23}, {9,22}, {11,44}, {4,47}, {20,31}, {3,25}, {11,34}, {7,35}, {19,45}, {11,46}, {2,27}, {11,24}, {10,31}, {10,44}, {18,25}, {13,50}, {9,30}, {5,39}, {14,27}, {13,29}, {17,30}, {10,30}, {5,40}, {20,47}, {4,50}, {16,30}, {7,23}, {4,34}, {10,25}, {15,35}, {6,31}, {11,32}, {16,26}, {12,25}, {14,43}, {3,42}, {19,50}, {3,22}, {14,37}, {1,44}, {13,38}, {15,49}, {18,31}, {19,44}, {9,41}, {6,23}, {16,45}, {7,39}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {7,24}, {9,24}, {17,25}, {19,34}, {16,44}, {4,44}, {12,50}, {17,41}, {5,23}, {12,43}, {18,21}, {7,29}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {18,28}, {15,29}, {2,22}, {4,46}, {8,43}, {16,38}, {18,27}, {1,33}, {20,28}, {16,27}, {12,44}, {7,47}, {5,29}, {16,50}, {3,28}, {8,33}, {5,47}, {18,49}, {15,47}, {14,49}, {6,26}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {20,23}, {12,34}, {4,35}, {19,32}, {18,43}, {15,21}, {14,25}, {20,34}, {1,50}, {11,28}, {1,23}, {10,24}, {16,33}, {3,40}, {13,23}, {2,40}, {4,26}, {17,37}, {16,39}, {16,24}, {12,32}, {10,43}, {15,31}, {18,40}, {9,40}, {20,40}, {1,27}, {17,23}, {3,37}, {8,39}, {9,42}, {9,34}, {15,43}, {10,32}, {7,36}, {6,35}, {11,50}, {17,43}, {6,50}, {8,25}, {2,42}, {16,32}, {18,34}, {17,49}, {11,26}, {3,46}, {9,48}, {17,48}, {15,25}, {5,33}, {18,37}, {11,38}, {10,49} }; // ETB50.52 // Bipartite(10,40) Valencies [16,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 34099859964322381824000000 EdgesBipt[50][52]:={ {8,48}, {1,11}, {3,33}, {10,24}, {5,17}, {9,28}, {6,16}, {7,15}, {5,34}, {10,37}, {4,30}, {4,50}, {8,43}, {9,45}, {8,28}, {3,13}, {8,33}, {3,43}, {2,15}, {7,22}, {1,19}, {2,27}, {5,47}, {9,43}, {1,21}, {10,44}, {5,32}, {6,11}, {9,35}, {4,23}, {8,31}, {2,42}, {10,22}, {3,18}, {6,29}, {8,16}, {2,45}, {4,38}, {6,21}, {2,25}, {7,12}, {3,46}, {6,31}, {9,48}, {5,22}, {7,20}, {10,47}, {1,44}, {5,29}, {8,41}, {2,37}, {7,32}, {1,31}, {4,45}, {7,25}, {2,35}, {4,33}, {10,29}, {6,49}, {2,20}, {9,50}, {1,29}, {7,50}, {7,30}, {4,35}, {9,25}, {8,36}, {2,32}, {6,24}, {6,44}, {7,17}, {6,46}, {8,11}, {5,24}, {4,48}, {5,49}, {8,13}, {10,42}, {5,14}, {9,20}, {4,15}, {4,13}, {3,11}, {4,28}, {4,43}, {10,12}, {3,26}, {8,26}, {5,42}, {2,17}, {7,47}, {9,13}, {9,40}, {5,12}, {8,21}, {1,24}, {1,49}, {5,44}, {6,26}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {6,19}, {1,46}, {6,41}, {6,14}, {9,30}, {10,39}, {5,39}, {3,16}, {4,40}, {6,36}, {9,18}, {10,17}, {10,27}, {8,38}, {1,26}, {2,22}, {1,16}, {3,48}, {10,34}, {2,47}, {10,49}, {2,40}, {9,33}, {6,34}, {5,27}, {8,18}, {4,18}, {9,38}, {10,19}, {4,25}, {3,38}, {4,20}, {3,28}, {7,27}, {7,45}, {8,46}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {6,39}, {10,14}, {5,19}, {7,35}, {9,15}, {2,30}, {7,37}, {1,34}, {5,37}, {3,36}, {7,40}, {7,42}, {9,23}, {1,36}, {2,50} }; // ETB50.53 // Bipartite(10,40) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12787447486620893184000000 EdgesBipt[50][53]:={ {6,48}, {1,11}, {3,33}, {10,25}, {5,34}, {8,12}, {4,26}, {3,22}, {4,16}, {9,45}, {8,42}, {3,13}, {3,43}, {10,23}, {7,44}, {2,15}, {7,22}, {4,31}, {1,19}, {2,27}, {10,33}, {5,20}, {3,37}, {7,34}, {1,21}, {9,35}, {4,23}, {8,31}, {8,27}, {9,11}, {2,42}, {10,15}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {2,45}, {4,38}, {2,25}, {5,40}, {7,12}, {10,48}, {10,38}, {5,50}, {9,26}, {1,44}, {4,41}, {5,29}, {8,41}, {8,47}, {2,37}, {7,39}, {5,25}, {9,41}, {7,32}, {1,31}, {3,12}, {7,49}, {10,28}, {2,35}, {6,43}, {4,33}, {4,21}, {6,49}, {2,20}, {6,18}, {9,50}, {10,40}, {1,29}, {8,17}, {3,32}, {9,25}, {8,36}, {6,33}, {2,32}, {6,24}, {5,30}, {6,44}, {7,17}, {8,11}, {5,24}, {4,48}, {5,49}, {8,22}, {5,14}, {9,20}, {4,13}, {7,14}, {3,27}, {4,28}, {4,43}, {10,13}, {10,45}, {6,23}, {4,46}, {8,37}, {8,26}, {2,17}, {4,36}, {10,43}, {7,47}, {9,40}, {8,32}, {8,21}, {1,24}, {1,49}, {5,44}, {3,23}, {1,39}, {6,19}, {1,46}, {7,29}, {6,28}, {6,14}, {9,30}, {5,39}, {10,35}, {1,26}, {2,22}, {1,16}, {3,48}, {10,18}, {2,47}, {6,38}, {2,40}, {10,50}, {9,36}, {6,34}, {3,42}, {4,18}, {3,38}, {4,11}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {7,24}, {2,12}, {1,14}, {9,46}, {10,20}, {6,39}, {5,15}, {3,47}, {5,19}, {9,15}, {2,30}, {6,13}, {7,37}, {5,35}, {9,31}, {1,34}, {7,19}, {9,21}, {9,16}, {7,42}, {1,36}, {2,50} }; // ETB50.54 // Bipartite(10,40) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 243468982907043840 EdgesBipt[50][54]:={ {4,35}, {7,43}, {10,19}, {7,42}, {7,48}, {5,32}, {6,39}, {6,48}, {8,24}, {2,38}, {10,22}, {6,18}, {1,11}, {2,22}, {6,14}, {5,42}, {5,30}, {5,50}, {3,46}, {4,27}, {1,31}, {8,36}, {6,41}, {5,35}, {9,45}, {7,38}, {4,16}, {2,47}, {7,33}, {2,37}, {10,40}, {1,38}, {2,33}, {7,27}, {8,46}, {1,44}, {9,21}, {3,30}, {3,50}, {9,37}, {7,23}, {8,34}, {2,28}, {3,34}, {9,31}, {10,45}, {6,34}, {2,18}, {4,26}, {8,14}, {8,13}, {9,17}, {10,30}, {1,29}, {5,49}, {8,44}, {7,28}, {1,34}, {4,37}, {6,11}, {9,27}, {2,23}, {6,49}, {8,33}, {4,46}, {3,13}, {10,25}, {10,12}, {2,32}, {3,40}, {6,21}, {2,17}, {10,39}, {3,14}, {2,13}, {10,15}, {7,47}, {5,19}, {5,15}, {8,26}, {3,23}, {4,45}, {7,13}, {5,29}, {4,31}, {2,42}, {1,19}, {4,36}, {4,21}, {4,17}, {9,25}, {4,15}, {4,25}, {9,15}, {10,29}, {8,40}, {6,29}, {6,31}, {4,11}, {5,22}, {2,27}, {6,19}, {2,43}, {2,48}, {10,49}, {5,45}, {9,35}, {1,39}, {6,38}, {7,18}, {8,43}, {2,12}, {5,20}, {1,49}, {3,26}, {3,24}, {8,16}, {8,20}, {8,23}, {8,50}, {9,26}, {1,14}, {1,41}, {9,46}, {3,44}, {9,11}, {10,42}, {7,22}, {9,47}, {3,16}, {7,32}, {10,32}, {7,37}, {3,20}, {10,50}, {5,12}, {1,28}, {3,36}, {9,41}, {10,20}, {6,24}, {8,30}, {3,43}, {6,44}, {9,36}, {10,35}, {4,41}, {4,47}, {9,16}, {3,33}, {7,17}, {5,39}, {7,12}, {1,21}, {1,18}, {1,48}, {5,25}, {5,40}, {1,24}, {6,28} }; // ETB50.55 // Bipartite(10,40) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2536135238615040 EdgesBipt[50][55]:={ {1,11}, {5,17}, {1,20}, {10,25}, {9,28}, {7,15}, {5,34}, {8,12}, {3,40}, {4,30}, {4,50}, {7,48}, {9,45}, {7,38}, {8,42}, {4,29}, {1,27}, {10,23}, {7,44}, {1,40}, {10,26}, {4,19}, {2,19}, {9,49}, {10,33}, {5,47}, {3,37}, {7,34}, {1,21}, {8,25}, {2,41}, {2,28}, {1,30}, {8,15}, {6,11}, {9,35}, {8,44}, {4,23}, {8,31}, {10,15}, {2,42}, {10,22}, {3,17}, {6,21}, {3,46}, {6,40}, {6,31}, {1,38}, {1,17}, {9,48}, {1,50}, {4,22}, {3,49}, {9,29}, {1,18}, {9,26}, {8,41}, {2,38}, {9,19}, {5,43}, {8,14}, {8,45}, {4,42}, {2,39}, {1,31}, {7,25}, {6,30}, {6,43}, {4,33}, {5,23}, {3,20}, {2,48}, {3,39}, {9,25}, {2,32}, {6,33}, {6,50}, {6,24}, {6,44}, {7,17}, {8,11}, {5,24}, {5,46}, {8,22}, {8,35}, {10,42}, {5,14}, {1,28}, {4,13}, {7,14}, {3,50}, {3,27}, {10,46}, {4,43}, {10,13}, {10,45}, {10,12}, {3,29}, {6,23}, {3,26}, {10,43}, {7,47}, {8,32}, {8,21}, {3,19}, {5,44}, {10,32}, {5,36}, {6,41}, {6,14}, {2,11}, {1,37}, {7,28}, {3,16}, {4,40}, {10,35}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {2,29}, {2,22}, {10,36}, {8,24}, {1,47}, {4,49}, {2,31}, {9,36}, {6,34}, {5,27}, {5,26}, {9,39}, {9,38}, {4,12}, {4,20}, {5,13}, {7,27}, {7,45}, {1,41}, {1,48}, {7,24}, {2,12}, {9,46}, {3,47}, {6,20}, {7,35}, {9,15}, {6,13}, {7,37}, {2,18}, {5,37}, {3,36}, {9,16}, {4,39}, {4,32}, {2,49}, {7,18}, {10,16}, {5,16} }; // ETB50.56 // Bipartite(18,32) Valencies [16,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2304 EdgesBipt[50][56]:={ {13,21}, {16,47}, {15,38}, {14,36}, {5,38}, {5,22}, {11,25}, {12,22}, {3,26}, {1,49}, {13,37}, {13,39}, {17,42}, {11,43}, {14,50}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {3,20}, {3,21}, {14,45}, {6,48}, {5,32}, {1,35}, {4,40}, {13,27}, {10,48}, {16,21}, {2,33}, {4,38}, {3,49}, {10,42}, {6,29}, {11,27}, {1,20}, {10,47}, {4,24}, {16,48}, {15,32}, {4,30}, {8,30}, {16,49}, {9,33}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {12,38}, {7,41}, {12,26}, {12,42}, {6,39}, {11,39}, {17,20}, {7,33}, {12,40}, {1,24}, {2,48}, {5,37}, {18,35}, {16,25}, {15,45}, {10,35}, {6,44}, {18,39}, {4,23}, {8,38}, {17,47}, {5,50}, {17,36}, {2,29}, {18,46}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {6,34}, {12,49}, {9,39}, {8,42}, {9,20}, {18,26}, {18,33}, {3,43}, {15,28}, {14,46}, {9,46}, {1,42}, {7,32}, {12,24}, {1,39}, {6,27}, {2,30}, {3,36}, {17,29}, {8,48}, {7,19}, {2,44}, {8,50}, {11,36}, {13,48}, {11,23}, {15,37}, {14,23}, {15,34}, {11,33}, {13,25}, {11,48}, {4,41}, {9,38}, {9,26}, {18,38}, {1,41}, {4,45}, {10,19}, {15,23}, {12,41}, {3,44}, {4,47}, {11,46}, {2,43}, {2,27}, {6,30}, {10,31}, {10,29}, {1,25}, {6,19}, {13,31}, {9,30}, {17,19}, {3,32}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {10,22}, {4,50}, {16,30}, {10,25}, {12,29}, {15,24}, {14,43}, {3,22}, {13,38}, {18,31}, {14,40}, {7,49}, {9,41}, {7,39}, {4,29}, {9,44}, {1,32}, {6,43}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {6,20}, {16,44}, {7,40}, {12,50}, {17,41}, {5,23}, {2,26}, {17,50}, {10,40}, {18,21}, {10,21}, {7,29}, {14,47}, {18,30}, {13,44}, {8,27}, {5,46}, {3,48}, {3,33}, {13,32}, {14,26}, {1,45}, {11,30}, {3,34}, {2,21}, {4,27}, {16,46}, {18,28}, {5,24}, {15,29}, {11,47}, {2,22}, {16,20}, {18,24}, {8,43}, {2,31}, {14,19}, {11,45}, {12,44}, {7,47}, {4,42}, {16,50}, {4,25}, {14,30}, {3,28}, {7,31}, {11,19}, {5,47}, {18,49}, {14,49}, {11,31}, {14,24}, {13,34}, {9,50}, {6,26}, {15,42}, {1,34}, {13,35}, {5,21}, {2,50}, {12,34}, {6,28}, {6,42}, {18,23}, {4,35}, {13,33}, {18,43}, {14,20}, {5,49}, {7,26}, {11,37}, {11,28}, {2,47}, {1,23}, {16,35}, {14,42}, {16,33}, {8,35}, {17,27}, {2,40}, {15,22}, {17,45}, {9,45}, {16,39}, {17,37}, {13,28}, {1,28}, {9,27}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {18,40}, {8,20}, {5,25}, {10,23}, {15,26}, {1,46}, {3,37}, {14,22}, {16,19}, {5,36}, {9,34}, {15,43}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {12,21}, {18,34}, {3,46}, {17,48}, {5,33}, {10,49}, {9,37}, {6,40} }; // ETB50.57 // Bipartite(18,32) Valencies [16,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2959380704046549565440000 EdgesBipt[50][57]:={ {15,33}, {7,48}, {6,38}, {14,36}, {11,49}, {5,38}, {5,22}, {11,25}, {4,28}, {5,45}, {12,22}, {1,40}, {16,22}, {13,39}, {17,42}, {17,33}, {8,40}, {3,35}, {8,21}, {3,19}, {15,27}, {1,19}, {2,49}, {3,23}, {3,21}, {14,45}, {3,39}, {16,28}, {1,35}, {15,41}, {4,40}, {13,43}, {13,27}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {11,29}, {10,42}, {1,20}, {2,25}, {4,24}, {16,42}, {16,48}, {4,30}, {12,46}, {9,33}, {8,37}, {5,41}, {12,38}, {12,26}, {7,27}, {12,42}, {6,39}, {10,26}, {12,31}, {10,20}, {17,26}, {13,47}, {13,24}, {1,24}, {2,48}, {12,23}, {5,37}, {13,20}, {18,35}, {9,35}, {1,36}, {15,19}, {16,34}, {6,46}, {15,45}, {18,39}, {9,47}, {5,50}, {2,29}, {5,34}, {18,47}, {18,46}, {13,19}, {14,32}, {2,36}, {8,49}, {16,40}, {6,34}, {1,43}, {9,29}, {9,39}, {18,26}, {4,22}, {3,43}, {3,47}, {7,32}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {6,27}, {11,42}, {17,29}, {8,48}, {18,19}, {7,19}, {4,32}, {2,44}, {14,28}, {11,21}, {12,47}, {13,48}, {1,47}, {2,24}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {11,33}, {18,22}, {8,24}, {8,41}, {14,21}, {18,38}, {8,45}, {3,29}, {13,36}, {15,23}, {9,19}, {3,25}, {11,34}, {7,35}, {11,46}, {12,30}, {6,30}, {9,31}, {10,44}, {17,46}, {6,19}, {2,20}, {13,31}, {7,28}, {9,25}, {17,30}, {10,22}, {10,30}, {4,50}, {16,30}, {7,23}, {6,22}, {4,34}, {15,35}, {17,38}, {6,31}, {16,26}, {14,37}, {1,44}, {15,49}, {18,31}, {14,40}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {1,32}, {6,43}, {8,32}, {7,24}, {10,28}, {17,22}, {17,25}, {16,44}, {4,44}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {17,50}, {10,40}, {9,21}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {13,44}, {2,45}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {10,50}, {11,30}, {2,21}, {16,46}, {15,29}, {16,20}, {4,46}, {16,38}, {11,45}, {18,27}, {3,45}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {7,31}, {8,33}, {12,39}, {17,34}, {15,47}, {14,49}, {14,24}, {11,41}, {6,26}, {13,35}, {5,21}, {12,34}, {8,44}, {17,21}, {6,42}, {18,23}, {18,43}, {14,20}, {14,25}, {15,21}, {5,49}, {11,37}, {1,23}, {10,24}, {10,34}, {13,23}, {2,40}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {5,42}, {15,31}, {7,44}, {8,28}, {9,49}, {7,43}, {4,20}, {8,20}, {1,27}, {5,25}, {9,43}, {3,37}, {15,43}, {10,32}, {12,35}, {7,36}, {6,35}, {11,50}, {12,19}, {6,50}, {14,48}, {8,25}, {18,42}, {16,32}, {4,48}, {2,32}, {18,34}, {17,49}, {11,26}, {15,25}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB50.58 // Bipartite(18,32) Valencies [16,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 246512345193381888 EdgesBipt[50][58]:={ {13,21}, {6,38}, {16,47}, {11,49}, {9,32}, {6,25}, {11,25}, {5,43}, {12,22}, {8,26}, {13,37}, {14,38}, {11,43}, {14,50}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {15,27}, {1,19}, {3,23}, {10,39}, {1,21}, {14,45}, {3,21}, {3,39}, {1,35}, {7,30}, {4,40}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {17,35}, {11,35}, {10,42}, {11,27}, {1,20}, {10,47}, {2,34}, {12,28}, {4,24}, {16,42}, {16,48}, {15,32}, {8,30}, {16,49}, {12,46}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {11,39}, {6,49}, {10,26}, {17,20}, {2,48}, {13,20}, {16,25}, {9,35}, {1,36}, {15,19}, {1,29}, {16,34}, {6,46}, {15,45}, {6,44}, {4,23}, {8,38}, {17,47}, {9,47}, {4,49}, {17,36}, {2,29}, {1,38}, {18,46}, {13,19}, {14,32}, {16,40}, {8,22}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {18,26}, {18,33}, {18,36}, {5,27}, {3,43}, {5,28}, {14,46}, {3,47}, {3,31}, {7,37}, {2,30}, {5,35}, {14,34}, {8,48}, {7,19}, {4,32}, {1,30}, {8,50}, {6,36}, {11,36}, {2,24}, {11,23}, {3,24}, {15,37}, {11,33}, {18,22}, {8,24}, {4,41}, {14,21}, {18,20}, {18,38}, {7,46}, {8,45}, {3,29}, {17,31}, {13,36}, {15,23}, {12,41}, {9,19}, {13,45}, {4,47}, {11,44}, {17,28}, {7,35}, {12,30}, {6,30}, {4,33}, {1,22}, {10,31}, {9,31}, {5,19}, {18,25}, {13,22}, {17,19}, {5,39}, {3,32}, {18,44}, {16,41}, {7,28}, {17,44}, {13,29}, {8,34}, {4,50}, {6,22}, {4,34}, {10,25}, {15,35}, {15,24}, {16,26}, {12,25}, {15,40}, {14,37}, {1,44}, {13,38}, {14,40}, {16,31}, {15,39}, {8,32}, {9,24}, {5,31}, {17,25}, {6,20}, {12,50}, {17,41}, {5,23}, {5,20}, {2,26}, {18,41}, {10,40}, {9,21}, {7,29}, {18,30}, {8,29}, {9,23}, {7,21}, {13,44}, {2,45}, {3,48}, {14,26}, {1,45}, {10,50}, {2,21}, {18,28}, {15,29}, {11,47}, {2,22}, {12,36}, {3,45}, {12,44}, {2,37}, {4,42}, {16,50}, {10,41}, {4,25}, {14,30}, {12,33}, {11,19}, {5,47}, {18,49}, {15,47}, {11,31}, {15,48}, {14,24}, {11,41}, {7,22}, {6,26}, {13,35}, {2,50}, {6,41}, {12,34}, {6,28}, {16,23}, {6,42}, {15,21}, {5,49}, {11,28}, {10,24}, {14,42}, {11,20}, {10,34}, {16,33}, {3,40}, {17,27}, {2,40}, {9,45}, {18,50}, {4,26}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {15,31}, {7,44}, {7,43}, {9,40}, {1,27}, {5,44}, {5,25}, {17,23}, {10,23}, {9,43}, {1,46}, {3,37}, {14,22}, {5,36}, {15,43}, {13,46}, {10,32}, {4,39}, {7,36}, {17,43}, {6,50}, {14,48}, {1,37}, {2,42}, {18,42}, {16,32}, {4,48}, {2,32}, {6,33}, {18,34}, {17,49}, {9,48}, {5,33}, {10,49}, {9,37} }; // ETB50.59 // Bipartite(18,32) Valencies [16,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[50][59]:={ {13,21}, {18,45}, {7,48}, {6,38}, {14,36}, {9,32}, {6,25}, {11,25}, {5,45}, {8,26}, {13,37}, {16,22}, {17,42}, {11,43}, {14,50}, {2,35}, {17,33}, {4,31}, {8,40}, {10,33}, {1,19}, {2,49}, {3,23}, {10,39}, {1,21}, {3,21}, {6,48}, {3,39}, {16,37}, {16,28}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {16,21}, {14,44}, {2,33}, {6,32}, {17,35}, {11,29}, {11,27}, {10,47}, {2,34}, {12,28}, {4,24}, {4,43}, {15,32}, {4,30}, {16,49}, {12,46}, {17,39}, {12,26}, {7,27}, {12,42}, {11,39}, {6,49}, {7,33}, {12,31}, {12,40}, {10,20}, {17,26}, {13,47}, {15,30}, {5,37}, {18,35}, {13,42}, {9,35}, {15,19}, {12,37}, {16,34}, {6,46}, {16,43}, {15,45}, {8,38}, {13,26}, {5,50}, {6,24}, {2,29}, {5,34}, {18,47}, {2,36}, {8,49}, {13,41}, {16,40}, {8,22}, {18,29}, {9,29}, {12,49}, {8,42}, {3,38}, {5,28}, {2,39}, {14,35}, {3,47}, {7,32}, {12,24}, {3,31}, {11,22}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {4,21}, {17,29}, {18,19}, {1,30}, {14,28}, {12,47}, {11,36}, {3,30}, {13,48}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {10,38}, {10,46}, {18,22}, {13,25}, {11,48}, {8,47}, {8,24}, {4,41}, {9,26}, {18,38}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {9,19}, {4,47}, {11,34}, {17,28}, {12,30}, {6,30}, {10,31}, {10,44}, {18,25}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {5,39}, {17,19}, {3,32}, {14,27}, {18,44}, {17,44}, {15,46}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {11,32}, {14,43}, {3,22}, {1,44}, {13,38}, {18,31}, {7,49}, {1,48}, {7,39}, {4,36}, {1,32}, {6,43}, {10,28}, {9,24}, {5,31}, {17,22}, {2,19}, {16,44}, {5,23}, {5,20}, {18,41}, {9,21}, {8,29}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {3,48}, {13,32}, {14,26}, {4,27}, {18,28}, {15,29}, {4,46}, {18,24}, {8,43}, {14,19}, {16,38}, {11,45}, {16,27}, {3,45}, {12,44}, {5,26}, {5,29}, {16,50}, {10,41}, {4,25}, {12,33}, {8,33}, {5,47}, {15,47}, {14,49}, {15,48}, {11,41}, {9,50}, {15,42}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {16,23}, {14,20}, {14,25}, {7,26}, {1,50}, {1,23}, {11,20}, {14,42}, {16,33}, {3,40}, {2,40}, {17,45}, {9,45}, {14,41}, {18,50}, {15,20}, {16,39}, {13,28}, {1,28}, {16,24}, {7,20}, {9,27}, {5,42}, {15,36}, {15,31}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {5,44}, {17,23}, {10,23}, {15,26}, {9,43}, {1,46}, {3,37}, {9,42}, {5,36}, {9,34}, {12,35}, {7,36}, {6,35}, {17,32}, {11,50}, {12,19}, {1,37}, {6,33}, {12,21}, {18,34}, {17,49}, {3,46}, {9,48}, {17,48}, {15,25}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB50.60 // Bipartite(25,25) Valencies [16,16] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 57600 EdgesBipt[50][60]:={ {18,45}, {11,40}, {10,37}, {15,38}, {11,49}, {23,29}, {19,26}, {4,28}, {5,43}, {25,47}, {3,26}, {22,40}, {13,37}, {14,38}, {17,42}, {15,44}, {14,50}, {2,35}, {17,33}, {20,46}, {10,33}, {15,27}, {24,32}, {21,41}, {24,36}, {2,49}, {6,48}, {3,39}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {13,27}, {14,29}, {23,44}, {24,28}, {14,44}, {6,32}, {17,35}, {4,38}, {3,49}, {10,42}, {6,29}, {10,47}, {20,38}, {12,28}, {19,31}, {12,48}, {4,43}, {21,40}, {16,48}, {23,45}, {8,30}, {16,49}, {23,38}, {9,33}, {7,45}, {8,46}, {5,41}, {17,39}, {7,41}, {20,49}, {12,26}, {7,27}, {12,42}, {6,39}, {23,36}, {25,34}, {11,39}, {12,31}, {19,48}, {17,26}, {24,30}, {2,48}, {15,30}, {20,39}, {5,37}, {24,50}, {24,47}, {24,31}, {24,45}, {13,42}, {23,43}, {9,35}, {1,36}, {1,29}, {16,34}, {16,43}, {10,35}, {15,45}, {24,26}, {8,38}, {13,26}, {4,49}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {13,41}, {8,49}, {20,42}, {22,34}, {24,37}, {18,29}, {9,36}, {6,34}, {9,39}, {8,42}, {18,33}, {18,36}, {22,43}, {3,38}, {5,27}, {5,28}, {24,41}, {14,46}, {20,41}, {2,39}, {9,46}, {24,40}, {14,35}, {1,42}, {7,32}, {19,38}, {3,31}, {19,47}, {25,26}, {13,49}, {7,37}, {6,27}, {2,30}, {11,42}, {15,50}, {3,36}, {19,49}, {25,29}, {17,29}, {8,48}, {4,32}, {2,44}, {1,30}, {19,27}, {8,50}, {12,47}, {6,36}, {23,39}, {23,40}, {11,36}, {3,30}, {13,48}, {1,47}, {22,48}, {10,36}, {14,33}, {10,38}, {15,34}, {10,46}, {11,33}, {21,31}, {19,30}, {8,47}, {8,41}, {9,26}, {21,37}, {7,46}, {13,36}, {1,41}, {4,45}, {25,32}, {12,41}, {11,44}, {4,47}, {3,44}, {20,31}, {24,39}, {25,49}, {17,28}, {21,42}, {19,45}, {11,46}, {25,30}, {2,43}, {22,30}, {2,27}, {12,30}, {6,30}, {4,33}, {22,44}, {9,31}, {25,41}, {10,44}, {10,29}, {17,46}, {25,46}, {22,50}, {23,35}, {20,30}, {13,31}, {5,39}, {14,27}, {22,45}, {16,41}, {7,28}, {6,45}, {20,44}, {25,31}, {17,44}, {13,29}, {5,40}, {20,47}, {4,50}, {23,47}, {25,45}, {16,30}, {12,45}, {4,34}, {15,35}, {12,29}, {6,31}, {11,32}, {21,32}, {16,26}, {15,40}, {14,43}, {14,37}, {1,44}, {15,49}, {19,44}, {14,40}, {1,48}, {7,49}, {9,41}, {16,31}, {16,45}, {25,38}, {3,41}, {23,34}, {15,39}, {22,41}, {4,29}, {9,44}, {21,39}, {19,29}, {6,43}, {6,37}, {8,32}, {24,27}, {10,28}, {5,31}, {19,34}, {21,49}, {12,50}, {12,43}, {20,32}, {25,42}, {18,41}, {10,40}, {23,37}, {14,47}, {18,30}, {8,29}, {22,38}, {13,44}, {21,46}, {6,47}, {3,33}, {13,32}, {1,45}, {10,50}, {20,50}, {23,32}, {3,50}, {9,28}, {16,46}, {18,28}, {11,47}, {4,46}, {8,43}, {2,31}, {16,38}, {11,45}, {18,27}, {21,33}, {3,45}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {21,35}, {22,33}, {20,33}, {21,44}, {15,48}, {19,35}, {13,34}, {6,26}, {1,34}, {22,27}, {13,35}, {21,43}, {7,42}, {2,50}, {21,27}, {23,49}, {21,29}, {17,40}, {12,34}, {19,36}, {4,35}, {21,48}, {19,32}, {18,43}, {7,26}, {11,37}, {11,28}, {2,47}, {16,35}, {14,42}, {10,34}, {16,33}, {3,40}, {8,35}, {10,45}, {2,40}, {14,41}, {18,50}, {4,26}, {22,46}, {16,39}, {17,37}, {13,28}, {1,28}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {23,50}, {12,32}, {15,36}, {25,35}, {22,35}, {10,43}, {15,31}, {7,44}, {9,49}, {18,40}, {9,40}, {24,42}, {20,40}, {1,27}, {15,26}, {22,36}, {9,43}, {1,46}, {8,39}, {25,28}, {5,36}, {9,34}, {24,33}, {15,43}, {13,46}, {4,39}, {25,48}, {7,36}, {17,32}, {11,50}, {23,26}, {17,43}, {6,50}, {14,48}, {22,28}, {1,37}, {18,42}, {2,32}, {18,34}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {18,37}, {11,38}, {6,40} }; // ETB50.61 // Bipartite(5,45) Valencies [18,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 62923832219789760135168000000 EdgesBipt[50][61]:={ {5,12}, {1,26}, {4,8}, {4,13}, {4,50}, {5,42}, {4,23}, {5,32}, {1,14}, {2,37}, {1,44}, {1,24}, {5,37}, {1,46}, {3,46}, {2,47}, {5,24}, {2,32}, {2,30}, {1,29}, {5,29}, {2,10}, {5,27}, {1,39}, {4,10}, {3,21}, {2,40}, {1,6}, {1,36}, {4,40}, {3,33}, {3,38}, {4,43}, {3,8}, {3,23}, {2,45}, {1,31}, {3,48}, {2,12}, {5,44}, {4,30}, {5,9}, {5,7}, {4,18}, {4,33}, {5,47}, {2,7}, {3,11}, {3,16}, {3,28}, {2,20}, {1,16}, {4,45}, {4,38}, {5,19}, {1,21}, {4,20}, {5,17}, {1,49}, {2,15}, {3,18}, {3,31}, {4,48}, {3,26}, {4,15}, {4,28}, {5,39}, {2,27}, {3,6}, {4,25}, {2,42}, {5,14}, {2,17}, {3,41}, {3,13}, {5,34}, {2,35}, {1,19}, {1,9}, {5,49}, {1,41}, {2,25}, {4,35}, {1,34}, {1,11}, {5,22}, {2,22}, {2,50}, {3,36}, {3,43} }; // ETB50.62 // Bipartite(20,30) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23776267862016000000 EdgesBipt[50][62]:={ {13,21}, {15,33}, {7,48}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {11,49}, {9,32}, {6,25}, {5,38}, {19,26}, {11,25}, {5,43}, {3,26}, {8,26}, {1,49}, {1,40}, {16,22}, {17,42}, {15,44}, {11,43}, {14,50}, {2,35}, {17,33}, {3,35}, {10,33}, {8,21}, {2,49}, {3,23}, {10,39}, {3,21}, {14,45}, {16,37}, {19,37}, {20,37}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {14,29}, {10,48}, {16,21}, {19,21}, {13,40}, {14,44}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {10,47}, {20,38}, {2,34}, {19,31}, {2,25}, {4,24}, {16,42}, {18,32}, {4,30}, {12,46}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {20,24}, {5,41}, {20,49}, {12,26}, {13,30}, {7,27}, {19,22}, {11,39}, {7,33}, {12,31}, {12,40}, {19,48}, {20,29}, {1,24}, {20,39}, {16,25}, {1,29}, {19,42}, {6,46}, {18,39}, {13,26}, {17,47}, {9,47}, {4,49}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {14,32}, {2,36}, {8,49}, {13,41}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {1,43}, {12,49}, {8,42}, {18,26}, {4,22}, {18,36}, {3,38}, {19,46}, {3,43}, {15,28}, {5,28}, {2,39}, {9,46}, {14,35}, {7,32}, {12,24}, {19,38}, {3,31}, {19,47}, {1,39}, {7,37}, {6,27}, {2,30}, {14,34}, {3,36}, {19,23}, {4,32}, {2,44}, {1,30}, {19,27}, {6,36}, {3,30}, {13,48}, {2,24}, {11,23}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {8,41}, {9,38}, {9,26}, {13,36}, {20,22}, {4,45}, {15,23}, {12,41}, {9,22}, {11,44}, {13,45}, {4,47}, {3,25}, {11,34}, {17,28}, {7,35}, {12,30}, {6,30}, {7,50}, {11,24}, {9,31}, {10,44}, {10,29}, {1,25}, {13,50}, {13,31}, {5,39}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {20,44}, {19,41}, {8,34}, {15,46}, {17,30}, {10,22}, {20,47}, {4,50}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {17,38}, {12,29}, {6,31}, {15,24}, {12,25}, {16,26}, {14,37}, {1,44}, {13,38}, {15,49}, {18,31}, {14,40}, {1,48}, {9,41}, {16,31}, {16,45}, {3,41}, {15,39}, {4,29}, {6,37}, {8,32}, {10,28}, {5,31}, {17,22}, {17,25}, {20,48}, {4,44}, {7,40}, {2,41}, {12,50}, {5,23}, {20,32}, {2,26}, {17,50}, {18,41}, {18,21}, {9,21}, {14,47}, {8,29}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {16,36}, {1,45}, {11,30}, {3,50}, {19,33}, {9,28}, {2,21}, {4,27}, {19,43}, {16,46}, {5,24}, {15,29}, {18,24}, {2,31}, {11,45}, {1,33}, {18,27}, {20,28}, {12,36}, {3,45}, {16,27}, {12,44}, {5,26}, {7,47}, {4,42}, {5,29}, {16,50}, {4,25}, {14,30}, {3,28}, {12,39}, {20,27}, {18,49}, {14,49}, {20,33}, {15,48}, {14,24}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {17,40}, {20,23}, {12,34}, {8,44}, {19,36}, {6,42}, {4,35}, {19,32}, {13,33}, {14,25}, {15,21}, {5,49}, {20,34}, {1,50}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {3,40}, {13,23}, {17,27}, {2,40}, {6,21}, {17,45}, {17,37}, {13,28}, {1,28}, {9,27}, {7,38}, {15,36}, {10,43}, {15,31}, {7,43}, {5,44}, {17,23}, {10,23}, {15,26}, {9,43}, {8,39}, {14,22}, {9,42}, {5,36}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {6,35}, {17,32}, {11,50}, {17,43}, {6,50}, {18,42}, {16,32}, {12,21}, {18,34}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {18,37}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB50.63 // Bipartite(20,30) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 57776330904698880 EdgesBipt[50][63]:={ {13,21}, {15,33}, {18,45}, {7,48}, {6,38}, {19,28}, {10,37}, {11,49}, {9,32}, {6,25}, {5,22}, {11,25}, {4,28}, {5,43}, {1,49}, {13,37}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {14,50}, {4,31}, {8,40}, {3,35}, {20,46}, {10,33}, {8,21}, {14,31}, {15,27}, {2,49}, {3,23}, {8,23}, {3,21}, {14,45}, {6,48}, {3,39}, {20,37}, {16,28}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {2,46}, {13,43}, {13,27}, {19,21}, {13,40}, {14,44}, {6,32}, {4,38}, {3,49}, {11,35}, {11,29}, {10,42}, {6,29}, {10,47}, {19,40}, {2,34}, {20,26}, {12,28}, {19,31}, {12,48}, {4,24}, {16,42}, {16,48}, {15,32}, {4,30}, {8,30}, {16,49}, {12,46}, {20,43}, {8,37}, {20,24}, {5,41}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {6,49}, {10,26}, {12,40}, {19,48}, {17,26}, {13,47}, {2,48}, {5,37}, {18,35}, {16,25}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {6,46}, {16,43}, {18,39}, {17,47}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {1,26}, {14,32}, {2,36}, {8,49}, {13,41}, {20,36}, {20,42}, {18,29}, {1,43}, {12,49}, {4,22}, {18,33}, {5,27}, {3,43}, {20,41}, {2,39}, {14,35}, {3,47}, {1,42}, {12,24}, {19,38}, {3,31}, {12,27}, {11,22}, {1,39}, {13,49}, {7,37}, {2,30}, {11,42}, {14,34}, {4,21}, {17,29}, {4,32}, {2,44}, {8,50}, {14,28}, {12,47}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {10,36}, {15,37}, {10,46}, {15,34}, {11,33}, {13,25}, {11,48}, {19,30}, {8,47}, {4,41}, {9,38}, {8,41}, {14,21}, {7,46}, {8,45}, {3,29}, {20,22}, {4,45}, {15,23}, {9,22}, {13,45}, {20,31}, {3,25}, {19,24}, {17,28}, {19,45}, {11,46}, {2,27}, {12,30}, {7,50}, {1,22}, {7,34}, {10,31}, {9,31}, {10,44}, {18,25}, {17,46}, {1,25}, {13,50}, {13,31}, {9,30}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {20,47}, {4,50}, {6,22}, {4,34}, {17,38}, {12,29}, {11,32}, {15,24}, {16,26}, {19,50}, {18,31}, {19,44}, {14,40}, {1,48}, {7,49}, {9,41}, {6,23}, {16,45}, {7,39}, {3,41}, {1,32}, {9,44}, {6,43}, {7,24}, {9,24}, {5,31}, {19,34}, {4,44}, {7,40}, {12,50}, {5,23}, {20,32}, {2,26}, {17,50}, {18,41}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {8,29}, {8,27}, {5,46}, {3,33}, {16,36}, {1,45}, {3,50}, {9,28}, {16,46}, {5,24}, {8,43}, {16,38}, {11,45}, {1,33}, {18,27}, {12,36}, {3,45}, {12,44}, {5,26}, {19,25}, {7,47}, {2,37}, {4,42}, {10,41}, {4,25}, {14,30}, {8,33}, {12,39}, {5,47}, {17,34}, {20,27}, {18,49}, {15,47}, {20,33}, {14,24}, {19,35}, {9,50}, {6,26}, {15,42}, {13,35}, {5,21}, {2,50}, {17,24}, {17,40}, {20,23}, {12,34}, {6,28}, {6,42}, {16,23}, {18,23}, {4,35}, {19,32}, {13,33}, {18,43}, {15,21}, {14,25}, {20,34}, {7,26}, {11,28}, {2,47}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {8,35}, {17,27}, {2,40}, {15,22}, {9,45}, {14,41}, {18,50}, {16,39}, {17,37}, {1,28}, {3,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {18,40}, {9,40}, {5,44}, {10,23}, {15,26}, {1,46}, {3,37}, {14,22}, {8,39}, {9,42}, {5,36}, {9,34}, {10,32}, {15,43}, {7,36}, {6,35}, {14,48}, {20,21}, {8,25}, {4,48}, {16,32}, {6,33}, {17,49}, {11,26}, {9,48}, {17,48}, {5,33}, {18,37}, {11,38} }; // ETB50.64 // Bipartite(20,30) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7430083706880 EdgesBipt[50][64]:={ {13,21}, {15,33}, {18,45}, {6,38}, {10,37}, {16,47}, {15,38}, {14,36}, {11,49}, {6,25}, {5,38}, {19,26}, {5,43}, {3,26}, {8,26}, {1,49}, {13,39}, {17,42}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {14,31}, {2,49}, {8,23}, {1,21}, {14,45}, {3,21}, {6,48}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {7,30}, {15,41}, {4,37}, {10,48}, {19,21}, {2,33}, {3,49}, {11,29}, {10,42}, {6,29}, {11,27}, {10,47}, {19,40}, {20,38}, {2,34}, {19,31}, {2,25}, {4,43}, {16,48}, {18,32}, {8,30}, {16,49}, {8,46}, {20,24}, {5,41}, {17,39}, {7,27}, {6,39}, {11,39}, {6,49}, {12,31}, {12,40}, {17,26}, {13,24}, {15,30}, {12,23}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,29}, {16,34}, {10,35}, {16,43}, {6,44}, {4,23}, {8,38}, {13,26}, {17,47}, {9,47}, {5,50}, {6,24}, {17,36}, {2,29}, {5,34}, {1,38}, {18,46}, {14,32}, {13,41}, {20,42}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {18,26}, {4,22}, {18,33}, {18,36}, {3,38}, {19,46}, {15,28}, {5,28}, {14,46}, {2,39}, {9,46}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {19,47}, {11,22}, {1,39}, {13,49}, {7,37}, {6,27}, {2,30}, {11,42}, {3,36}, {15,50}, {19,49}, {4,21}, {17,29}, {8,48}, {20,25}, {4,32}, {2,44}, {19,27}, {8,50}, {11,21}, {16,29}, {13,48}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {14,23}, {10,38}, {15,34}, {11,33}, {18,22}, {11,48}, {19,30}, {4,41}, {14,21}, {9,26}, {18,38}, {7,46}, {8,45}, {3,29}, {13,36}, {1,41}, {2,23}, {20,22}, {4,45}, {15,23}, {12,41}, {3,44}, {4,47}, {19,45}, {2,43}, {12,30}, {4,33}, {7,50}, {1,22}, {7,34}, {9,31}, {10,44}, {18,25}, {17,46}, {13,22}, {20,30}, {13,31}, {9,30}, {3,32}, {14,27}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {5,40}, {10,30}, {20,47}, {12,45}, {10,25}, {12,29}, {11,32}, {15,24}, {12,25}, {14,43}, {3,42}, {15,40}, {19,50}, {3,22}, {14,37}, {13,38}, {7,49}, {1,48}, {9,41}, {6,23}, {16,45}, {7,39}, {3,41}, {4,36}, {1,32}, {19,29}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {5,31}, {17,22}, {20,48}, {16,44}, {7,40}, {2,41}, {12,50}, {5,23}, {12,43}, {20,32}, {17,50}, {10,40}, {9,21}, {7,29}, {14,47}, {18,30}, {8,36}, {13,44}, {2,45}, {5,46}, {6,47}, {3,48}, {13,32}, {14,26}, {10,50}, {20,50}, {19,39}, {3,34}, {2,21}, {4,27}, {18,28}, {5,24}, {11,47}, {4,46}, {8,43}, {2,31}, {16,38}, {1,33}, {20,28}, {16,27}, {12,44}, {5,26}, {19,25}, {7,47}, {4,42}, {4,25}, {3,28}, {12,33}, {8,33}, {12,39}, {17,34}, {20,27}, {11,31}, {15,48}, {19,35}, {13,34}, {11,41}, {9,50}, {7,22}, {5,21}, {2,50}, {7,42}, {17,24}, {17,40}, {12,34}, {19,36}, {6,28}, {16,23}, {18,23}, {4,35}, {18,43}, {15,21}, {14,25}, {20,34}, {7,26}, {20,45}, {11,37}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {16,33}, {8,35}, {10,45}, {17,27}, {2,40}, {9,45}, {14,41}, {18,50}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {9,27}, {15,36}, {15,31}, {7,44}, {8,28}, {9,49}, {18,40}, {9,40}, {20,40}, {1,27}, {5,44}, {15,26}, {14,22}, {5,36}, {10,32}, {13,46}, {15,43}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {8,25}, {18,42}, {6,33}, {12,21}, {17,49}, {18,48}, {3,46}, {5,48}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB50.65 // Bipartite(20,30) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24159191040 EdgesBipt[50][65]:={ {13,21}, {15,33}, {18,45}, {7,48}, {19,28}, {16,47}, {15,38}, {14,36}, {11,49}, {9,32}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {12,22}, {3,26}, {8,26}, {1,49}, {14,38}, {13,39}, {17,42}, {15,44}, {14,50}, {17,33}, {8,40}, {3,35}, {10,33}, {3,23}, {1,21}, {3,21}, {3,39}, {1,35}, {7,30}, {15,41}, {8,31}, {4,37}, {13,27}, {14,29}, {10,48}, {16,21}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {6,29}, {11,27}, {10,47}, {20,38}, {19,31}, {2,25}, {12,48}, {4,24}, {4,43}, {18,32}, {8,30}, {16,49}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {5,41}, {17,39}, {12,38}, {7,41}, {20,49}, {7,27}, {12,42}, {6,39}, {6,49}, {7,33}, {12,40}, {19,48}, {17,26}, {13,24}, {2,48}, {12,23}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {6,46}, {10,35}, {6,44}, {4,23}, {13,26}, {9,47}, {6,24}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {14,32}, {13,41}, {20,36}, {16,40}, {8,22}, {6,34}, {9,29}, {9,39}, {8,42}, {18,26}, {4,22}, {3,38}, {19,46}, {15,28}, {5,28}, {2,39}, {9,46}, {14,35}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {19,47}, {11,22}, {7,37}, {2,30}, {11,42}, {3,36}, {19,49}, {4,21}, {20,25}, {4,32}, {2,44}, {1,30}, {19,27}, {8,50}, {14,28}, {11,21}, {12,47}, {6,36}, {16,29}, {11,36}, {13,48}, {2,24}, {11,23}, {3,24}, {10,36}, {15,37}, {14,23}, {10,38}, {15,34}, {18,22}, {13,25}, {14,39}, {8,47}, {4,41}, {8,41}, {14,21}, {8,45}, {13,36}, {2,23}, {15,23}, {11,44}, {4,47}, {3,25}, {19,24}, {11,34}, {17,28}, {11,46}, {2,27}, {12,30}, {6,30}, {1,22}, {7,34}, {9,31}, {18,25}, {13,50}, {20,30}, {13,31}, {16,41}, {7,28}, {6,45}, {15,46}, {17,30}, {10,30}, {5,40}, {20,47}, {4,50}, {16,30}, {12,45}, {10,25}, {12,29}, {6,31}, {12,25}, {16,26}, {14,43}, {3,42}, {15,40}, {19,50}, {14,37}, {1,44}, {13,38}, {15,49}, {18,31}, {19,44}, {7,49}, {16,31}, {16,45}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {19,29}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {20,48}, {19,34}, {16,44}, {4,44}, {17,41}, {5,23}, {20,32}, {18,41}, {10,40}, {10,21}, {14,47}, {18,30}, {7,21}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {16,36}, {14,26}, {1,45}, {10,50}, {20,50}, {11,30}, {3,50}, {19,33}, {19,39}, {9,28}, {19,43}, {16,46}, {18,28}, {2,22}, {15,29}, {8,43}, {11,45}, {18,27}, {20,28}, {12,44}, {5,26}, {2,37}, {5,29}, {12,33}, {12,39}, {17,34}, {11,31}, {20,33}, {15,48}, {14,24}, {19,35}, {9,50}, {7,22}, {6,26}, {1,34}, {13,35}, {7,42}, {6,41}, {17,24}, {20,23}, {17,21}, {4,35}, {19,32}, {13,33}, {18,43}, {5,49}, {20,34}, {7,26}, {20,45}, {1,50}, {11,37}, {2,47}, {1,23}, {10,34}, {3,40}, {13,23}, {10,45}, {8,35}, {17,27}, {2,40}, {6,21}, {15,22}, {17,45}, {14,41}, {18,50}, {4,26}, {16,39}, {17,37}, {16,24}, {3,27}, {9,27}, {2,38}, {12,32}, {10,43}, {15,31}, {8,28}, {9,49}, {7,43}, {18,40}, {20,40}, {1,27}, {5,44}, {5,25}, {10,23}, {15,26}, {9,43}, {1,46}, {14,22}, {9,42}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {11,50}, {17,43}, {20,21}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {2,32}, {17,49}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {11,38}, {10,49}, {6,40} }; // ETB50.66 // Bipartite(20,30) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1474560 EdgesBipt[50][66]:={ {15,33}, {11,40}, {15,38}, {14,36}, {11,49}, {5,38}, {5,22}, {5,43}, {12,22}, {3,26}, {8,26}, {1,49}, {13,37}, {1,40}, {16,22}, {17,42}, {2,35}, {17,33}, {8,40}, {20,46}, {8,21}, {8,23}, {1,21}, {14,45}, {19,37}, {5,32}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {16,21}, {13,40}, {17,35}, {11,35}, {11,29}, {6,29}, {11,27}, {10,47}, {19,40}, {20,38}, {2,34}, {19,31}, {2,25}, {12,48}, {16,42}, {15,32}, {8,30}, {16,49}, {12,46}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {5,41}, {17,39}, {12,38}, {20,49}, {13,30}, {12,42}, {6,39}, {11,39}, {6,49}, {7,33}, {19,48}, {17,26}, {2,48}, {12,23}, {5,37}, {18,35}, {13,42}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {6,46}, {16,43}, {18,39}, {13,26}, {17,47}, {9,47}, {6,24}, {17,36}, {2,29}, {5,34}, {18,47}, {18,46}, {14,32}, {13,41}, {20,36}, {6,34}, {9,29}, {9,39}, {18,26}, {3,38}, {19,46}, {3,43}, {15,28}, {5,28}, {14,46}, {20,41}, {9,46}, {14,35}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {19,47}, {11,22}, {1,39}, {6,27}, {5,35}, {14,34}, {3,36}, {19,49}, {4,21}, {8,48}, {20,25}, {4,32}, {2,44}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {2,24}, {11,23}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {15,34}, {11,33}, {13,25}, {14,39}, {11,48}, {19,30}, {8,47}, {8,24}, {4,41}, {9,38}, {14,21}, {13,36}, {2,23}, {4,45}, {11,44}, {4,47}, {3,44}, {3,25}, {19,24}, {17,28}, {7,35}, {19,45}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {9,31}, {18,25}, {13,22}, {13,50}, {20,30}, {13,31}, {9,30}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {17,44}, {19,41}, {17,30}, {10,30}, {20,47}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {19,50}, {3,22}, {14,37}, {1,44}, {13,38}, {15,49}, {18,31}, {19,44}, {14,40}, {1,48}, {7,49}, {9,41}, {6,23}, {16,31}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {19,29}, {6,43}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {20,48}, {12,50}, {12,43}, {20,32}, {10,40}, {18,21}, {10,21}, {14,47}, {18,30}, {13,44}, {8,27}, {2,45}, {3,33}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {3,50}, {19,33}, {19,39}, {4,27}, {16,46}, {18,28}, {5,24}, {2,22}, {15,29}, {4,46}, {18,24}, {8,43}, {11,45}, {1,33}, {18,27}, {20,28}, {16,27}, {12,44}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {4,25}, {3,28}, {5,47}, {17,34}, {15,47}, {11,31}, {15,48}, {7,25}, {9,50}, {7,22}, {6,26}, {5,21}, {2,50}, {7,42}, {6,41}, {17,24}, {20,23}, {12,34}, {8,44}, {6,42}, {16,23}, {18,23}, {4,35}, {13,33}, {18,43}, {15,21}, {14,25}, {5,49}, {20,34}, {7,26}, {20,45}, {1,50}, {11,28}, {1,23}, {14,42}, {10,34}, {3,40}, {8,35}, {10,45}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {7,38}, {2,38}, {12,32}, {10,43}, {15,31}, {7,44}, {8,28}, {9,49}, {18,40}, {9,40}, {20,40}, {1,27}, {17,23}, {10,23}, {15,26}, {3,37}, {8,39}, {9,42}, {10,32}, {15,43}, {4,39}, {12,35}, {7,36}, {11,50}, {6,50}, {20,21}, {8,25}, {2,42}, {2,32}, {17,49}, {18,48}, {9,48}, {5,48}, {5,33}, {18,37}, {10,49}, {9,37} }; // ETB50.67 // Bipartite(25,25) Valencies [20,20] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 4000 EdgesBipt[50][67]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {4,46}, {20,26}, {3,29}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {3,49}, {14,49}, {5,32}, {22,49}, {8,37}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {4,28}, {19,37}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {21,35}, {20,42}, {2,38}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {24,39}, {21,31}, {16,33}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {13,48}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {17,43}, {21,46}, {23,34}, {17,45}, {14,33}, {11,35}, {3,27}, {11,31}, {25,28}, {8,38}, {19,30}, {22,29}, {11,29}, {11,47}, {23,49}, {20,28}, {18,50}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {25,41}, {9,50}, {14,43}, {5,26}, {6,31}, {8,40}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {22,32}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {18,42}, {16,42}, {15,34}, {24,30}, {16,30}, {8,35}, {5,27}, {1,50}, {9,31}, {5,33}, {4,39}, {22,47}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {16,34}, {19,31}, {18,26}, {4,45}, {2,28}, {20,43}, {1,27}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {1,37}, {14,50}, {21,37}, {3,50}, {25,38}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {9,28}, {20,49}, {20,40}, {16,35}, {8,30}, {14,32}, {9,37}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {4,33}, {15,40}, {21,34}, {18,34}, {1,44}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {11,50}, {24,50}, {23,26}, {12,47}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {22,33}, {14,37}, {7,43}, {8,33}, {10,28}, {13,50}, {13,35}, {16,37}, {13,32}, {17,36}, {18,44}, {23,28}, {21,29}, {3,28}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {2,40}, {9,43}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {21,27}, {6,44}, {25,36}, {2,42}, {9,46}, {15,37}, {22,48}, {4,42}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {3,35}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {19,28}, {20,37}, {11,33}, {1,34}, {22,40}, {4,47}, {24,35}, {13,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {23,44}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {25,40}, {9,34}, {16,41}, {13,28}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {5,41}, {15,48}, {19,29}, {18,39}, {9,48}, {3,38}, {25,48}, {13,44}, {16,40}, {1,47}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {22,39}, {8,32}, {23,40}, {13,31}, {5,31}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {5,49}, {11,28}, {13,39}, {11,43}, {19,42}, {24,29}, {19,50}, {12,26}, {18,46}, {24,46}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {24,26}, {20,34}, {7,44}, {25,34}, {11,46}, {4,31}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {14,44}, {19,27}, {25,50}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {10,41}, {23,35}, {12,34}, {15,41}, {19,45}, {4,50}, {23,31}, {17,41}, {11,30}, {8,43}, {2,48}, {7,39}, {10,44}, {1,33}, {12,30}, {2,32}, {19,26}, {22,34}, {16,50}, {24,38}, {9,36}, {10,40}, {18,47}, {6,27}, {21,41}, {12,40}, {17,40}, {8,46}, {20,41}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {9,32}, {25,44}, {18,32}, {24,40}, {23,30}, {21,26}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {23,37}, {10,45}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {23,47}, {15,26}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {16,47}, {20,36}, {20,45}, {13,45}, {4,37}, {4,35}, {10,47}, {17,33}, {17,47}, {25,37}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.68 // Bipartite(25,25) Valencies [20,20] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 148601674137600000000000 EdgesBipt[50][68]:={ {3,42}, {7,49}, {15,28}, {13,40}, {24,33}, {6,36}, {14,48}, {4,46}, {16,28}, {20,33}, {4,26}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {14,49}, {5,32}, {22,49}, {8,37}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {2,39}, {18,38}, {15,50}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {21,35}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {7,26}, {18,28}, {25,49}, {4,34}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {9,41}, {21,46}, {17,45}, {24,36}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {25,28}, {8,38}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {20,28}, {18,50}, {12,35}, {11,36}, {24,48}, {16,26}, {2,37}, {14,43}, {25,45}, {7,30}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {4,41}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {18,42}, {15,34}, {12,44}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {2,45}, {16,34}, {10,48}, {22,41}, {19,31}, {18,26}, {22,26}, {20,43}, {4,44}, {9,26}, {12,39}, {21,36}, {7,31}, {5,38}, {3,50}, {25,38}, {1,29}, {2,34}, {15,27}, {12,41}, {5,42}, {6,49}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,40}, {16,35}, {21,40}, {5,28}, {25,33}, {8,30}, {14,32}, {9,37}, {17,26}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,29}, {23,46}, {12,50}, {4,33}, {15,40}, {21,34}, {1,44}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {23,26}, {12,47}, {7,29}, {12,49}, {3,37}, {1,35}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {13,32}, {17,36}, {23,28}, {21,29}, {3,28}, {14,28}, {12,45}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {24,34}, {15,30}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {23,48}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {25,30}, {14,31}, {8,45}, {7,46}, {19,28}, {20,37}, {11,33}, {1,34}, {22,40}, {4,47}, {13,37}, {24,37}, {8,27}, {24,31}, {5,30}, {6,46}, {2,49}, {19,43}, {14,46}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {17,31}, {1,48}, {15,44}, {23,41}, {25,40}, {19,36}, {9,34}, {16,41}, {13,28}, {17,44}, {17,35}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {13,41}, {15,48}, {19,33}, {19,29}, {9,48}, {3,38}, {25,48}, {14,34}, {16,40}, {9,33}, {20,35}, {8,42}, {15,38}, {22,39}, {8,32}, {23,40}, {13,31}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {1,46}, {10,34}, {25,39}, {24,28}, {5,49}, {11,28}, {11,43}, {19,42}, {24,29}, {17,34}, {12,26}, {18,46}, {24,46}, {1,45}, {10,30}, {17,39}, {7,32}, {13,38}, {24,26}, {11,26}, {20,34}, {7,44}, {25,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {13,30}, {24,32}, {20,48}, {14,39}, {14,42}, {18,45}, {2,46}, {6,26}, {23,35}, {12,34}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {16,50}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {21,41}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {9,32}, {25,44}, {18,32}, {23,30}, {21,26}, {22,31}, {20,47}, {16,45}, {22,35}, {7,50}, {5,39}, {19,34}, {13,47}, {23,37}, {10,45}, {23,42}, {21,49}, {3,40}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {3,33}, {23,47}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {16,49}, {12,37}, {17,30}, {24,41}, {12,31}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {10,47}, {2,35}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.69 // Bipartite(8,42) Valencies [21,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[50][69]:={ {7,43}, {7,42}, {7,48}, {7,39}, {6,12}, {6,48}, {3,15}, {8,39}, {1,43}, {8,24}, {4,42}, {4,14}, {3,29}, {6,14}, {3,38}, {5,50}, {3,46}, {4,27}, {7,40}, {2,11}, {5,35}, {6,41}, {7,24}, {1,25}, {4,49}, {2,47}, {5,24}, {1,38}, {1,9}, {5,41}, {2,33}, {6,32}, {7,31}, {1,32}, {3,50}, {6,40}, {8,42}, {3,45}, {5,13}, {8,34}, {3,10}, {6,34}, {2,15}, {5,26}, {6,22}, {7,11}, {5,21}, {3,19}, {5,37}, {3,18}, {8,15}, {1,34}, {7,10}, {5,23}, {5,33}, {4,37}, {2,10}, {4,20}, {6,11}, {2,41}, {2,31}, {2,23}, {6,49}, {4,46}, {8,28}, {4,39}, {1,36}, {1,17}, {3,13}, {6,46}, {1,22}, {2,50}, {2,32}, {3,40}, {6,21}, {8,47}, {4,33}, {8,18}, {4,28}, {7,29}, {3,9}, {7,25}, {3,22}, {5,15}, {8,35}, {8,26}, {4,45}, {7,13}, {7,14}, {3,27}, {2,34}, {4,30}, {6,26}, {1,19}, {2,40}, {4,21}, {7,30}, {4,17}, {3,47}, {2,9}, {1,26}, {8,19}, {2,44}, {6,29}, {7,35}, {2,24}, {6,31}, {4,11}, {5,38}, {2,43}, {5,46}, {6,38}, {8,43}, {2,12}, {5,20}, {3,28}, {5,36}, {5,17}, {5,31}, {8,16}, {3,12}, {2,49}, {8,20}, {8,23}, {1,42}, {6,20}, {7,16}, {1,14}, {1,41}, {3,44}, {7,9}, {4,32}, {3,39}, {8,49}, {1,37}, {1,27}, {7,22}, {3,16}, {8,48}, {7,21}, {4,50}, {1,33}, {2,25}, {3,36}, {8,37}, {6,35}, {5,18}, {8,30}, {6,44}, {6,27}, {1,47}, {5,44}, {1,45}, {7,36}, {7,17}, {4,23}, {5,16}, {4,13}, {2,30}, {1,18}, {1,48}, {5,25}, {4,19}, {4,10}, {8,12}, {8,29}, {2,45}, {6,28} }; // ETB50.70 // Bipartite(8,42) Valencies [21,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6293821809821220864000000 EdgesBipt[50][70]:={ {6,48}, {8,48}, {1,11}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {2,46}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {4,30}, {4,50}, {8,30}, {8,43}, {5,38}, {8,42}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {7,41}, {2,15}, {4,19}, {7,22}, {4,31}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {7,34}, {1,21}, {2,9}, {8,25}, {2,28}, {5,32}, {8,44}, {8,31}, {2,42}, {6,22}, {3,17}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,40}, {1,38}, {2,34}, {1,17}, {2,36}, {1,50}, {8,19}, {3,49}, {7,11}, {5,50}, {5,11}, {1,44}, {5,29}, {2,10}, {8,14}, {7,46}, {4,42}, {2,39}, {7,49}, {7,13}, {7,43}, {7,25}, {6,12}, {6,30}, {5,23}, {6,18}, {2,48}, {1,29}, {2,16}, {7,16}, {6,33}, {8,36}, {1,23}, {6,24}, {7,17}, {6,46}, {4,48}, {8,13}, {1,45}, {1,9}, {5,14}, {4,13}, {3,11}, {4,43}, {1,33}, {3,29}, {3,10}, {8,37}, {8,26}, {7,31}, {6,15}, {5,41}, {4,36}, {7,47}, {8,32}, {3,19}, {6,27}, {5,44}, {3,23}, {1,39}, {6,9}, {7,29}, {1,15}, {6,28}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {7,23}, {6,36}, {2,21}, {5,33}, {6,45}, {8,38}, {1,26}, {2,22}, {4,14}, {8,50}, {8,24}, {1,47}, {4,49}, {2,40}, {6,34}, {6,10}, {5,27}, {8,49}, {5,26}, {8,18}, {4,18}, {5,9}, {4,25}, {4,12}, {4,20}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {3,41}, {3,31}, {2,12}, {1,14}, {6,39}, {5,15}, {3,47}, {7,35}, {5,21}, {2,30}, {7,37}, {5,35}, {2,18}, {7,19}, {7,40}, {4,44}, {4,32} }; // ETB50.71 // Bipartite(8,42) Valencies [21,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 786727726227652608000000 EdgesBipt[50][71]:={ {6,48}, {2,44}, {8,48}, {1,11}, {3,33}, {5,17}, {2,33}, {6,16}, {4,27}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {4,50}, {8,30}, {7,48}, {6,17}, {1,13}, {7,38}, {3,9}, {8,42}, {8,28}, {3,45}, {1,27}, {3,15}, {7,44}, {2,15}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {2,26}, {1,21}, {2,9}, {7,36}, {8,10}, {2,14}, {6,11}, {8,44}, {6,22}, {6,29}, {3,17}, {8,16}, {2,45}, {4,38}, {6,47}, {3,34}, {7,12}, {2,25}, {3,46}, {6,40}, {4,10}, {1,17}, {4,22}, {7,20}, {5,11}, {5,29}, {2,38}, {2,37}, {5,43}, {8,14}, {5,25}, {2,39}, {7,32}, {1,31}, {4,45}, {7,49}, {7,13}, {7,43}, {7,25}, {6,12}, {6,30}, {4,33}, {5,23}, {4,21}, {2,13}, {2,20}, {6,18}, {1,29}, {7,50}, {7,30}, {3,39}, {7,26}, {2,32}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {5,49}, {8,22}, {1,45}, {1,9}, {5,48}, {4,15}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {1,43}, {4,46}, {8,26}, {5,42}, {7,31}, {5,41}, {5,12}, {8,32}, {4,9}, {5,31}, {1,49}, {8,40}, {3,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,41}, {1,15}, {6,28}, {1,35}, {1,37}, {3,16}, {6,42}, {4,40}, {6,36}, {2,21}, {8,34}, {8,38}, {4,34}, {4,14}, {8,50}, {8,24}, {1,47}, {2,31}, {6,34}, {6,10}, {8,18}, {4,20}, {5,13}, {8,20}, {3,28}, {8,46}, {1,41}, {3,41}, {7,24}, {3,47}, {5,19}, {7,37}, {5,35}, {5,37}, {7,19}, {2,43}, {6,35}, {4,39}, {7,42}, {4,44}, {4,32}, {2,50}, {2,49}, {7,18} }; // ETB50.72 // Bipartite(8,42) Valencies [21,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 105321436545024 EdgesBipt[50][72]:={ {6,48}, {8,48}, {3,33}, {5,17}, {6,16}, {4,27}, {2,46}, {4,24}, {8,12}, {4,26}, {3,22}, {8,30}, {6,17}, {2,23}, {1,13}, {7,38}, {8,42}, {8,28}, {4,29}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {7,44}, {1,40}, {2,15}, {4,31}, {1,19}, {5,47}, {1,21}, {2,9}, {8,10}, {2,28}, {2,14}, {1,30}, {6,11}, {8,44}, {2,42}, {6,22}, {3,18}, {8,16}, {4,38}, {2,25}, {5,40}, {3,46}, {6,31}, {4,10}, {2,34}, {5,22}, {1,18}, {7,11}, {5,50}, {1,44}, {4,41}, {5,29}, {2,37}, {5,43}, {8,14}, {7,39}, {2,39}, {4,45}, {7,49}, {7,25}, {2,35}, {6,30}, {5,23}, {4,21}, {2,20}, {2,48}, {7,30}, {3,39}, {3,32}, {4,35}, {7,16}, {2,32}, {1,12}, {8,36}, {6,50}, {1,23}, {6,44}, {7,17}, {4,48}, {8,22}, {1,9}, {5,14}, {4,15}, {4,13}, {3,11}, {7,14}, {3,50}, {3,27}, {4,43}, {1,33}, {3,29}, {3,10}, {6,23}, {5,28}, {8,26}, {5,42}, {7,31}, {7,47}, {5,12}, {8,32}, {3,19}, {5,31}, {6,27}, {1,49}, {8,40}, {5,36}, {1,46}, {6,9}, {6,41}, {2,11}, {1,35}, {1,37}, {7,28}, {4,40}, {6,36}, {2,21}, {5,33}, {8,34}, {3,24}, {2,29}, {6,45}, {8,38}, {1,26}, {4,34}, {1,16}, {8,50}, {8,24}, {6,25}, {1,47}, {4,49}, {6,34}, {5,26}, {8,18}, {5,9}, {3,38}, {4,12}, {4,20}, {8,20}, {7,10}, {7,45}, {8,46}, {1,41}, {5,45}, {3,41}, {7,24}, {6,39}, {5,15}, {6,37}, {7,33}, {3,47}, {5,19}, {6,20}, {7,35}, {6,13}, {2,18}, {5,37}, {7,19}, {2,43}, {4,17}, {3,36}, {7,42}, {7,21}, {2,49} }; // ETB50.73 // Bipartite(6,44) Valencies [22,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60930411873673404638822400000000 EdgesBipt[50][73]:={ {1,15}, {6,39}, {5,14}, {3,15}, {1,43}, {4,42}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {6,14}, {5,30}, {5,42}, {5,50}, {4,8}, {3,7}, {1,31}, {4,48}, {6,23}, {1,40}, {2,20}, {4,40}, {5,34}, {4,16}, {2,37}, {5,41}, {6,50}, {2,33}, {1,44}, {6,7}, {4,44}, {1,32}, {3,45}, {5,13}, {2,28}, {3,31}, {6,34}, {4,26}, {5,26}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {4,12}, {5,37}, {5,49}, {3,41}, {6,43}, {3,11}, {5,33}, {4,20}, {6,11}, {2,41}, {6,47}, {4,46}, {1,36}, {3,13}, {2,16}, {6,46}, {2,32}, {1,16}, {2,36}, {2,17}, {4,28}, {2,13}, {1,12}, {3,9}, {3,23}, {5,29}, {3,27}, {4,30}, {6,15}, {6,26}, {1,19}, {2,40}, {4,36}, {3,47}, {2,9}, {1,35}, {2,44}, {4,38}, {2,24}, {6,31}, {5,22}, {6,19}, {5,38}, {3,35}, {1,23}, {5,46}, {2,21}, {2,48}, {1,7}, {5,45}, {6,30}, {1,39}, {6,38}, {2,12}, {4,22}, {5,17}, {2,49}, {3,21}, {3,49}, {4,32}, {6,42}, {3,39}, {2,8}, {1,20}, {1,27}, {4,18}, {5,10}, {3,25}, {4,50}, {2,25}, {1,28}, {3,17}, {3,37}, {6,35}, {5,18}, {3,43}, {4,34}, {6,27}, {1,47}, {3,33}, {1,8}, {1,48}, {5,25}, {4,10}, {4,24}, {1,24}, {2,45} }; // ETB50.74 // Bipartite(10,40) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12787447486620893184000000 EdgesBipt[50][74]:={ {2,44}, {3,33}, {2,24}, {1,20}, {10,24}, {9,28}, {6,32}, {6,16}, {4,27}, {2,46}, {7,15}, {5,34}, {4,24}, {8,12}, {3,40}, {10,37}, {4,30}, {4,50}, {6,17}, {7,48}, {1,13}, {5,38}, {7,38}, {8,42}, {4,29}, {3,45}, {3,13}, {3,43}, {3,25}, {3,15}, {10,23}, {1,40}, {2,15}, {4,19}, {7,22}, {2,19}, {1,19}, {10,33}, {3,35}, {9,43}, {2,26}, {8,39}, {10,44}, {2,41}, {2,14}, {1,30}, {6,11}, {8,44}, {8,27}, {8,31}, {9,11}, {10,22}, {6,22}, {3,18}, {8,16}, {2,45}, {6,47}, {6,21}, {2,25}, {7,12}, {3,46}, {10,48}, {6,40}, {6,31}, {1,38}, {2,34}, {2,36}, {9,48}, {1,50}, {9,47}, {4,22}, {8,19}, {10,38}, {1,18}, {7,20}, {10,47}, {9,32}, {9,26}, {9,27}, {5,11}, {1,44}, {5,29}, {8,41}, {8,47}, {5,43}, {8,14}, {4,42}, {9,41}, {2,39}, {7,32}, {4,45}, {7,13}, {7,25}, {7,43}, {10,28}, {2,35}, {6,12}, {6,30}, {4,47}, {5,23}, {10,29}, {3,20}, {9,42}, {2,20}, {1,29}, {7,30}, {7,50}, {8,17}, {2,16}, {4,35}, {8,36}, {5,18}, {6,50}, {1,23}, {7,17}, {6,46}, {8,11}, {5,24}, {9,37}, {5,46}, {5,49}, {1,45}, {8,22}, {5,48}, {10,42}, {5,14}, {4,15}, {1,28}, {3,11}, {3,50}, {1,33}, {10,13}, {10,12}, {1,43}, {3,26}, {8,37}, {5,28}, {8,26}, {9,22}, {6,15}, {5,41}, {10,43}, {7,47}, {9,13}, {8,32}, {8,21}, {1,24}, {5,31}, {6,27}, {1,49}, {5,44}, {6,26}, {3,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {9,12}, {6,41}, {1,15}, {2,11}, {10,39}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {2,29}, {6,45}, {10,27}, {4,34}, {4,14}, {3,48}, {10,34}, {9,17}, {10,18}, {8,24}, {6,25}, {10,49}, {4,49}, {2,40}, {2,31}, {9,33}, {9,36}, {8,49}, {5,26}, {9,38}, {4,25}, {10,19}, {3,38}, {4,12}, {4,20}, {5,13}, {3,28}, {7,27}, {7,45}, {8,46}, {3,41}, {1,48}, {3,31}, {1,14}, {9,46}, {7,33}, {6,37}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {7,37}, {1,34}, {9,31}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {4,39}, {7,40}, {4,44}, {7,42}, {9,23}, {8,29}, {4,32}, {2,50}, {2,49}, {7,18}, {5,16} }; // ETB50.75 // Bipartite(10,40) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 243468982907043840 EdgesBipt[50][75]:={ {6,48}, {2,44}, {3,33}, {2,24}, {5,17}, {10,24}, {9,28}, {6,32}, {6,16}, {2,46}, {5,34}, {4,24}, {3,40}, {10,37}, {4,30}, {4,50}, {8,30}, {7,48}, {1,13}, {8,43}, {9,45}, {7,38}, {1,32}, {3,13}, {3,45}, {8,33}, {3,43}, {3,25}, {3,15}, {10,23}, {7,44}, {10,26}, {9,44}, {4,31}, {2,19}, {1,19}, {2,27}, {10,33}, {3,35}, {5,47}, {3,37}, {2,26}, {7,34}, {8,39}, {7,36}, {8,25}, {10,44}, {2,28}, {2,14}, {5,32}, {8,15}, {9,35}, {8,27}, {8,31}, {9,11}, {10,22}, {6,22}, {6,29}, {3,17}, {4,38}, {1,38}, {2,34}, {2,36}, {9,48}, {5,22}, {4,22}, {3,49}, {8,19}, {1,18}, {7,20}, {10,47}, {9,32}, {5,11}, {4,41}, {8,41}, {2,38}, {8,47}, {2,37}, {5,43}, {7,46}, {8,45}, {7,39}, {4,42}, {9,41}, {2,39}, {10,41}, {4,45}, {7,49}, {9,14}, {1,22}, {6,12}, {6,43}, {5,23}, {4,21}, {3,20}, {10,31}, {9,34}, {6,49}, {9,42}, {10,21}, {2,20}, {6,18}, {2,48}, {9,50}, {1,29}, {7,30}, {7,50}, {8,17}, {2,16}, {3,39}, {4,35}, {9,25}, {7,16}, {7,26}, {1,12}, {6,33}, {1,23}, {7,17}, {6,46}, {8,11}, {5,24}, {4,48}, {5,46}, {1,45}, {8,13}, {8,35}, {10,42}, {5,14}, {9,20}, {4,15}, {1,28}, {3,11}, {7,14}, {3,50}, {3,27}, {10,46}, {4,28}, {1,33}, {10,13}, {10,12}, {3,29}, {6,23}, {1,43}, {8,37}, {5,42}, {9,22}, {6,15}, {5,41}, {2,17}, {10,43}, {7,47}, {5,12}, {9,40}, {1,42}, {8,21}, {3,19}, {5,31}, {1,49}, {5,44}, {6,26}, {8,40}, {3,23}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {1,46}, {7,29}, {1,15}, {6,28}, {9,30}, {10,11}, {1,35}, {7,28}, {6,42}, {4,40}, {6,36}, {3,30}, {5,33}, {9,18}, {10,17}, {2,29}, {6,45}, {10,27}, {1,26}, {4,34}, {1,16}, {10,36}, {4,14}, {8,50}, {10,34}, {2,47}, {6,25}, {6,38}, {2,40}, {5,27}, {8,49}, {5,26}, {4,18}, {9,38}, {4,25}, {4,11}, {4,12}, {4,20}, {5,13}, {8,20}, {7,27}, {3,41}, {1,48}, {7,24}, {3,31}, {9,24}, {6,39}, {3,47}, {10,14}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {2,18}, {9,31}, {5,37}, {7,19}, {6,35}, {9,21}, {7,40}, {4,44}, {8,29}, {4,32}, {1,36}, {2,50}, {2,49}, {7,18}, {10,16}, {5,16} }; // ETB50.76 // Bipartite(10,40) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7608405715845120 EdgesBipt[50][76]:={ {6,48}, {2,44}, {8,48}, {1,11}, {2,24}, {10,24}, {10,25}, {2,33}, {4,27}, {5,34}, {8,12}, {4,26}, {3,22}, {4,16}, {10,37}, {8,30}, {6,17}, {2,23}, {1,13}, {8,43}, {5,38}, {9,45}, {8,42}, {8,28}, {1,32}, {8,33}, {1,27}, {7,44}, {2,15}, {7,22}, {4,31}, {2,19}, {9,49}, {1,19}, {5,20}, {7,34}, {1,21}, {7,36}, {8,25}, {10,44}, {2,41}, {2,14}, {8,15}, {9,35}, {4,23}, {9,11}, {10,15}, {10,22}, {3,18}, {10,30}, {6,29}, {8,16}, {2,45}, {6,47}, {3,34}, {5,40}, {7,12}, {2,25}, {3,46}, {10,48}, {1,38}, {2,34}, {1,17}, {9,47}, {4,22}, {3,49}, {9,29}, {10,38}, {1,18}, {3,14}, {7,20}, {10,47}, {5,50}, {9,26}, {9,27}, {5,11}, {4,41}, {9,19}, {5,43}, {7,46}, {8,45}, {4,42}, {7,39}, {9,41}, {2,39}, {7,32}, {1,31}, {3,12}, {4,45}, {7,49}, {10,28}, {2,35}, {1,22}, {3,44}, {4,47}, {6,43}, {4,33}, {5,23}, {4,21}, {6,49}, {2,13}, {2,20}, {6,18}, {9,50}, {10,40}, {1,29}, {7,30}, {7,50}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {6,33}, {1,12}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {7,17}, {5,24}, {9,37}, {5,46}, {8,13}, {8,22}, {5,48}, {8,35}, {10,42}, {5,14}, {9,20}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {4,43}, {1,33}, {10,45}, {10,12}, {3,29}, {6,23}, {1,43}, {3,26}, {4,46}, {5,28}, {8,26}, {6,15}, {5,41}, {4,36}, {7,47}, {9,40}, {8,32}, {1,42}, {3,19}, {5,31}, {6,27}, {1,49}, {5,44}, {8,40}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {6,19}, {7,29}, {6,28}, {6,14}, {2,11}, {9,30}, {1,37}, {3,16}, {4,37}, {10,35}, {2,21}, {5,33}, {10,17}, {3,24}, {2,29}, {6,45}, {8,38}, {10,27}, {3,48}, {8,50}, {10,34}, {9,17}, {10,18}, {6,25}, {1,47}, {6,38}, {2,40}, {2,31}, {10,50}, {9,36}, {6,34}, {5,26}, {8,18}, {3,42}, {9,39}, {4,25}, {3,38}, {4,11}, {4,12}, {5,13}, {3,28}, {8,20}, {7,27}, {8,46}, {1,41}, {3,41}, {1,48}, {7,24}, {3,31}, {9,46}, {10,20}, {6,39}, {6,37}, {10,14}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {9,31}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {7,40}, {7,42}, {4,32}, {2,50}, {2,49}, {5,16} }; // ETB50.77 // Bipartite(20,30) Valencies [24,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 184884258895036416000000 EdgesBipt[50][77]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {14,47}, {8,31}, {12,42}, {7,24}, {6,48}, {11,34}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {15,50}, {1,32}, {20,27}, {8,36}, {9,21}, {13,43}, {19,37}, {17,29}, {18,49}, {9,49}, {8,26}, {15,33}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {17,22}, {1,49}, {11,39}, {16,33}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {17,25}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {1,31}, {11,48}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {20,32}, {1,26}, {18,31}, {9,27}, {19,21}, {5,46}, {16,42}, {12,44}, {8,35}, {11,38}, {5,27}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {8,21}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {20,40}, {19,24}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {11,41}, {19,44}, {8,34}, {9,29}, {12,50}, {2,22}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {6,43}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {17,28}, {5,21}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {2,25}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {17,50}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {20,38}, {14,41}, {4,29}, {8,25}, {1,43}, {15,46}, {3,26}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {6,47}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {19,36}, {9,34}, {15,25}, {6,22}, {16,41}, {13,28}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,29}, {3,34}, {18,39}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {7,48}, {11,28}, {13,39}, {11,43}, {19,42}, {19,50}, {17,34}, {18,46}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {10,33}, {17,49}, {19,47}, {13,34}, {18,24}, {16,39}, {1,38}, {5,37}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {19,45}, {16,44}, {4,50}, {2,50}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {17,27}, {6,38}, {8,48}, {19,46}, {14,45}, {5,35}, {3,45}, {11,22}, {16,32}, {9,32}, {20,47}, {7,50}, {12,43}, {1,21}, {19,34}, {6,21}, {10,45}, {3,40}, {20,46}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {8,50}, {6,41}, {4,36}, {6,29} }; // ETB50.78 // Bipartite(25,25) Valencies [24,24] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 31022420086661971968000000 EdgesBipt[50][78]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {20,26}, {3,29}, {16,28}, {4,26}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {8,37}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {2,39}, {7,28}, {18,38}, {15,50}, {20,27}, {1,32}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {11,27}, {18,28}, {8,44}, {25,49}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {25,28}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {25,41}, {2,37}, {14,43}, {25,45}, {7,30}, {5,26}, {6,31}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {25,38}, {1,29}, {2,34}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {5,29}, {25,46}, {9,28}, {20,49}, {20,40}, {16,35}, {21,40}, {5,28}, {25,33}, {8,30}, {14,32}, {9,37}, {17,26}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {12,50}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {17,36}, {18,44}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {25,40}, {19,36}, {9,34}, {16,41}, {13,28}, {17,44}, {2,33}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {13,31}, {23,40}, {5,31}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {11,28}, {13,39}, {11,43}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {7,44}, {20,34}, {25,34}, {11,46}, {4,31}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {23,35}, {15,41}, {19,45}, {16,44}, {4,50}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {19,26}, {22,34}, {16,50}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {19,46}, {8,48}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.79 // Bipartite(25,25) Valencies [25,25] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 481195274016664096174671252691208896512000000000000 EdgesBipt[50][79]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {8,37}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {25,49}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {25,41}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {25,38}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {25,46}, {9,28}, {20,49}, {20,40}, {16,35}, {21,40}, {5,28}, {25,33}, {8,30}, {14,32}, {9,37}, {17,26}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {13,31}, {23,40}, {5,31}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {5,49}, {11,28}, {13,39}, {11,43}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {7,44}, {20,34}, {25,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.80 // Bipartite(24,26) Valencies [26,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 250221542488665330010829051399428626186240000000000 EdgesBipt[50][80]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {8,37}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {24,49}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,25}, {6,43}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {24,28}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {23,25}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.81 // Bipartite(20,30) Valencies [27,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 224685731296051200 EdgesBipt[50][81]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {15,50}, {20,27}, {4,28}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {8,49}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {3,31}, {2,47}, {10,43}, {9,28}, {20,49}, {20,40}, {16,35}, {5,28}, {8,30}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {8,34}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {10,46}, {14,37}, {11,24}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {15,23}, {9,42}, {13,35}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {9,43}, {17,50}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {20,38}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {19,43}, {14,46}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {1,48}, {7,22}, {15,44}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,21}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {3,41}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {19,26}, {4,23}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {9,32}, {18,32}, {20,47}, {16,45}, {7,50}, {12,43}, {1,21}, {6,21}, {13,47}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {12,31}, {20,36}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {10,32}, {16,24}, {17,47}, {8,50}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.82 // Bipartite(23,27) Valencies [27,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 281499235299748496262182682824357204459520000000000 EdgesBipt[50][82]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {15,24}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {23,26}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {13,31}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {23,25}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.83 // Bipartite(15,35) Valencies [28,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 20160 EdgesBipt[50][83]:={ {13,21}, {15,33}, {7,48}, {6,38}, {11,40}, {10,37}, {15,38}, {11,49}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {5,43}, {3,26}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {13,39}, {15,44}, {11,43}, {14,50}, {2,35}, {4,31}, {8,40}, {8,21}, {3,19}, {14,31}, {15,27}, {3,23}, {8,23}, {3,20}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {15,41}, {8,31}, {4,40}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {3,49}, {11,29}, {11,35}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {12,28}, {2,25}, {12,48}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,37}, {12,20}, {5,41}, {7,41}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {13,24}, {2,48}, {15,30}, {12,23}, {5,37}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {15,45}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {5,50}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {8,49}, {2,36}, {8,22}, {9,29}, {9,39}, {12,49}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {14,46}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {14,35}, {1,42}, {7,32}, {12,24}, {11,22}, {1,39}, {7,37}, {13,49}, {6,27}, {5,35}, {14,34}, {3,36}, {15,50}, {4,21}, {8,48}, {13,17}, {7,19}, {2,44}, {1,30}, {13,18}, {14,28}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {13,48}, {1,47}, {11,23}, {10,36}, {11,16}, {10,38}, {14,23}, {6,16}, {10,46}, {15,34}, {13,25}, {14,39}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {7,46}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {10,19}, {9,22}, {12,41}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,29}, {1,25}, {13,50}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {3,32}, {14,27}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {13,29}, {9,25}, {15,46}, {10,22}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {1,16}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {15,49}, {7,49}, {14,40}, {15,17}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {6,20}, {4,44}, {7,40}, {2,41}, {12,50}, {5,23}, {12,43}, {2,26}, {10,40}, {10,21}, {14,16}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {14,26}, {1,45}, {10,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {11,47}, {4,46}, {8,43}, {2,31}, {14,19}, {11,45}, {1,33}, {12,36}, {3,45}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {14,49}, {15,47}, {11,31}, {15,48}, {13,34}, {7,25}, {9,50}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {2,50}, {6,41}, {12,34}, {6,28}, {6,42}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {14,42}, {10,34}, {5,17}, {8,35}, {10,45}, {13,23}, {2,40}, {6,21}, {9,45}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {3,27}, {5,42}, {2,38}, {12,32}, {15,36}, {15,31}, {7,44}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {15,26}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {12,35}, {11,50}, {6,50}, {14,48}, {1,37}, {2,42}, {4,48}, {2,32}, {6,33}, {12,21}, {11,26}, {3,46}, {9,48}, {5,33}, {15,25}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB50.84 // Bipartite(15,35) Valencies [28,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3034521229735231488000000 EdgesBipt[50][84]:={ {13,21}, {15,33}, {7,48}, {6,38}, {10,37}, {15,38}, {11,49}, {14,36}, {9,32}, {5,38}, {5,22}, {10,18}, {9,17}, {5,43}, {5,45}, {3,26}, {12,22}, {8,26}, {1,49}, {13,39}, {11,43}, {14,50}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {6,48}, {3,39}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {13,43}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {6,32}, {3,49}, {11,29}, {10,42}, {11,17}, {6,29}, {11,27}, {3,18}, {10,47}, {8,16}, {10,17}, {2,34}, {12,28}, {2,25}, {12,48}, {4,24}, {15,32}, {4,30}, {8,30}, {1,17}, {4,16}, {7,45}, {8,46}, {12,20}, {5,41}, {12,38}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {7,33}, {12,40}, {10,20}, {1,24}, {13,24}, {2,48}, {15,30}, {12,23}, {5,37}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {15,45}, {6,44}, {11,18}, {8,38}, {13,26}, {9,47}, {4,49}, {5,50}, {6,24}, {2,29}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {8,49}, {13,41}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {8,18}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {13,49}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {15,50}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {13,18}, {8,50}, {11,21}, {12,47}, {6,36}, {10,16}, {11,36}, {3,30}, {13,48}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {15,37}, {10,38}, {6,16}, {10,46}, {11,33}, {13,25}, {14,39}, {11,48}, {8,24}, {4,41}, {8,41}, {9,26}, {14,21}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {15,23}, {9,22}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {13,50}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {14,27}, {7,28}, {12,18}, {8,34}, {13,29}, {9,25}, {15,46}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {12,25}, {1,16}, {15,40}, {14,37}, {1,44}, {13,38}, {7,49}, {1,48}, {14,40}, {9,41}, {6,23}, {15,17}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {4,44}, {7,40}, {12,50}, {5,23}, {12,43}, {5,20}, {10,40}, {10,21}, {9,21}, {7,29}, {14,47}, {2,28}, {8,29}, {14,16}, {8,36}, {13,44}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {14,26}, {10,50}, {3,50}, {3,34}, {4,27}, {2,22}, {11,47}, {4,46}, {8,43}, {14,19}, {1,33}, {3,45}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {10,41}, {4,25}, {3,28}, {14,30}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {14,49}, {15,47}, {11,31}, {15,48}, {14,24}, {13,34}, {11,41}, {7,25}, {9,50}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {14,20}, {14,25}, {15,21}, {7,18}, {11,37}, {2,47}, {11,28}, {5,18}, {5,16}, {1,23}, {14,42}, {10,27}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {10,45}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {15,20}, {1,28}, {13,28}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {1,46}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {12,19}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {11,26}, {3,46}, {5,48}, {5,33}, {15,25}, {5,30}, {11,38}, {9,37} }; // ETB50.85 // Bipartite(22,28) Valencies [28,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 342694721234476430232222396481826161950720000000000 EdgesBipt[50][85]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {17,31}, {8,29}, {1,48}, {15,44}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.86 // Bipartite(21,29) Valencies [29,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 451733950718173476215202249907861758935040000000000 EdgesBipt[50][86]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.87 // Bipartite(20,30) Valencies [30,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 645334215311676394593146071296945369907200000000000 EdgesBipt[50][87]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.88 // Bipartite(19,31) Valencies [31,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1000268033733098411619376410510265323356160000000000 EdgesBipt[50][88]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {3,22}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {19,21}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.89 // Bipartite(10,40) Valencies [32,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 409198319571868581888000000 EdgesBipt[50][89]:={ {7,48}, {6,38}, {10,37}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {2,35}, {4,31}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {3,49}, {1,12}, {10,42}, {9,11}, {6,29}, {3,18}, {10,47}, {8,16}, {2,34}, {10,17}, {2,25}, {4,24}, {4,30}, {8,13}, {8,30}, {1,17}, {4,16}, {7,45}, {8,46}, {5,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {1,38}, {1,26}, {8,49}, {7,15}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {8,18}, {9,46}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {2,13}, {8,50}, {8,15}, {6,36}, {10,16}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {4,41}, {8,41}, {9,26}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {9,22}, {4,11}, {9,19}, {4,47}, {3,44}, {3,25}, {7,35}, {2,43}, {2,27}, {7,50}, {2,12}, {1,22}, {7,34}, {9,31}, {10,31}, {6,13}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {9,12}, {7,28}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {1,44}, {4,14}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {4,44}, {7,40}, {5,23}, {5,20}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {8,36}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {10,50}, {10,15}, {3,50}, {3,34}, {1,11}, {4,27}, {2,22}, {8,11}, {4,46}, {8,43}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,25}, {10,41}, {3,28}, {8,33}, {5,47}, {4,12}, {8,14}, {3,15}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {10,27}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {1,46}, {4,19}, {8,39}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,32}, {4,39}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {9,37} }; // ETB50.90 // Bipartite(18,32) Valencies [32,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1684661951550481535358949744017288965652480000000000 EdgesBipt[50][90]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {5,46}, {18,42}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.91 // Bipartite(17,33) Valencies [33,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3088546911175882814824741197365029770362880000000000 EdgesBipt[50][91]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.92 // Bipartite(16,34) Valencies [34,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6177093822351765629649482394730059540725760000000000 EdgesBipt[50][92]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {6,19}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {16,32}, {9,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.93 // Bipartite(15,35) Valencies [35,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13512392736394487314858242738472005245337600000000000 EdgesBipt[50][93]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.94 // Bipartite(5,45) Valencies [36,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 755085986637477121622016000000 EdgesBipt[50][94]:={ {2,44}, {1,11}, {3,33}, {2,24}, {5,17}, {2,33}, {4,27}, {4,24}, {4,26}, {3,8}, {3,40}, {4,16}, {4,30}, {4,50}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {1,21}, {2,9}, {2,28}, {2,14}, {5,32}, {2,42}, {3,18}, {2,45}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {5,11}, {1,44}, {4,41}, {2,10}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {2,48}, {1,29}, {3,39}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {5,7}, {5,46}, {1,9}, {5,48}, {4,15}, {1,28}, {3,11}, {3,50}, {4,7}, {1,33}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,46}, {1,37}, {3,16}, {4,37}, {4,40}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {4,49}, {2,40}, {5,10}, {5,27}, {5,26}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49}, {5,16} }; // ETB50.95 // Bipartite(10,40) Valencies [36,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 230078188847156428800 EdgesBipt[50][95]:={ {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {5,45}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {5,28}, {2,39}, {4,18}, {9,46}, {3,47}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {5,35}, {6,12}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {1,47}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {7,50}, {4,33}, {7,34}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {6,43}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {8,11}, {4,46}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {8,14}, {3,15}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {9,49}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {9,42}, {5,36}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {8,25}, {2,42}, {4,48}, {2,32}, {6,33}, {2,14}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB50.96 // Bipartite(14,36) Valencies [36,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32429742567346769555659782572332812588810240000000000 EdgesBipt[50][96]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {12,25}, {13,27}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.97 // Bipartite(13,37) Valencies [37,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 85707176785130748111386568226879576127569920000000000 EdgesBipt[50][97]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {12,25}, {13,27}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.98 // Bipartite(12,38) Valencies [38,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 250528670602689879094822276355494145603665920000000000 EdgesBipt[50][98]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {12,25}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {11,29}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {11,21}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {9,13}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {12,23}, {8,18}, {5,31}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB50.99 // Bipartite(11,39) Valencies [39,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 814218179458742107058172398155355973211914240000000000 EdgesBipt[50][99]:={ {7,48}, {6,38}, {11,40}, {10,37}, {11,49}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {3,44}, {4,47}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {1,45}, {10,50}, {10,15}, {3,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {3,45}, {3,14}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {5,47}, {4,12}, {8,14}, {11,31}, {3,15}, {11,41}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {11,12}, {7,26}, {1,50}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {11,50}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB50.100 // Bipartite(10,40) Valencies [40,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2960793379849971298393354175110385357134233600000000000 EdgesBipt[50][100]:={ {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {10,15}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {8,14}, {3,15}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB50.101 // Bipartite(9,41) Valencies [41,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12139252857384882323412752117952579964250357760000000000 EdgesBipt[50][101]:={ {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB50.102 // Bipartite(8,42) Valencies [42,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56649846667796117509259509883778706499835002880000000000 EdgesBipt[50][102]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB50.103 // Bipartite(7,43) Valencies [43,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 304492925839404131612269865625310547436613140480000000000 EdgesBipt[50][103]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {7,10}, {3,15}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB50.104 // Bipartite(6,44) Valencies [44,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1913955533847683112991410583930523441030139740160000000000 EdgesBipt[50][104]:={ {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {1,18}, {3,38}, {5,27}, {3,43}, {6,17}, {5,28}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {6,22}, {4,34}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {5,31}, {2,19}, {6,20}, {4,44}, {2,41}, {5,23}, {5,20}, {2,26}, {2,28}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {1,7}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {1,8}, {4,12}, {3,15}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB50.105 // Bipartite(5,45) Valencies [45,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14354666503857623347435579379478925807726048051200000000000 EdgesBipt[50][105]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {4,50}, {2,23}, {1,13}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {2,13}, {2,20}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49}, {5,16} }; // ETB50.106 // Bipartite(4,46) Valencies [46,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 132062931835490134796407330291206117431079642071040000000000 EdgesBipt[50][106]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {4,27}, {2,46}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {4,50}, {2,23}, {1,13}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {2,13}, {2,20}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {3,47}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB50.107 // Bipartite(3,47) Valencies [47,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1551739449067009083857786130921671879815185794334720000000000 EdgesBipt[50][107]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {1,42}, {2,6}, {3,21}, {1,14}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB50.108 // Bipartite(2,48) Valencies [48,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24827831185072145341724578094746750077042972709355520000000000 EdgesBipt[50][108]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {1,42}, {2,6}, {1,14}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB50.109 // Bipartite(1,49) Valencies [49,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 608281864034267560872252163321295376887552831379210240000000000 EdgesBipt[50][109]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 50 is 109 // ******************************************************************************************** // Order 51 // ETB51.1 // Bipartite(17,34) Valencies [4,2] // Diameter 8 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 68 EdgesBipt[51][1]:={ {5,33}, {7,50}, {6,34}, {12,48}, {1,24}, {2,26}, {4,47}, {17,28}, {1,32}, {6,45}, {3,21}, {10,48}, {4,40}, {12,30}, {15,27}, {1,20}, {11,23}, {11,38}, {7,33}, {5,44}, {3,29}, {9,32}, {17,49}, {5,21}, {16,36}, {8,43}, {7,27}, {8,37}, {12,47}, {13,40}, {2,31}, {11,51}, {10,26}, {13,42}, {14,36}, {14,22}, {11,35}, {13,39}, {10,41}, {3,18}, {9,51}, {1,18}, {12,29}, {15,28}, {8,41}, {13,38}, {5,39}, {4,25}, {17,31}, {6,22}, {2,19}, {15,34}, {9,50}, {6,25}, {2,23}, {9,49}, {17,43}, {14,44}, {15,42}, {16,37}, {4,19}, {16,24}, {10,20}, {7,46}, {8,45}, {14,30}, {16,46}, {3,35} }; // ETB51.2 // Bipartite(17,34) Valencies [4,2] // Diameter 17 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4456448 EdgesBipt[51][2]:={ {5,51}, {4,39}, {5,32}, {6,34}, {12,48}, {4,37}, {8,31}, {17,28}, {11,25}, {13,41}, {7,23}, {1,37}, {10,32}, {15,44}, {3,33}, {14,45}, {10,30}, {13,26}, {15,27}, {1,20}, {2,36}, {11,23}, {12,31}, {6,36}, {11,42}, {2,21}, {13,43}, {16,27}, {8,48}, {9,24}, {7,40}, {8,33}, {10,47}, {2,38}, {4,20}, {11,40}, {3,18}, {12,46}, {1,18}, {9,41}, {15,25}, {12,29}, {7,38}, {7,21}, {3,50}, {4,22}, {9,22}, {6,19}, {2,19}, {6,51}, {13,24}, {8,50}, {5,34}, {17,43}, {5,49}, {15,42}, {17,45}, {1,35}, {9,39}, {14,28}, {14,47}, {17,26}, {16,29}, {10,49}, {14,30}, {16,44}, {16,46}, {3,35} }; // ETB51.3 // Bipartite(17,34) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 136 EdgesBipt[51][3]:={ {4,35}, {7,19}, {13,41}, {16,34}, {8,39}, {8,31}, {12,26}, {17,47}, {10,22}, {6,18}, {15,43}, {6,36}, {5,50}, {1,31}, {16,30}, {8,36}, {5,35}, {9,45}, {10,38}, {1,46}, {1,40}, {2,20}, {10,48}, {13,24}, {4,40}, {11,42}, {5,34}, {1,25}, {7,33}, {16,51}, {6,32}, {7,31}, {9,39}, {6,25}, {12,33}, {16,40}, {7,45}, {11,22}, {8,42}, {13,42}, {16,48}, {9,51}, {6,34}, {2,19}, {17,44}, {5,26}, {5,21}, {2,29}, {14,27}, {3,48}, {3,18}, {5,49}, {3,41}, {15,39}, {13,44}, {9,27}, {2,23}, {7,41}, {2,50}, {14,30}, {2,32}, {12,34}, {8,21}, {4,28}, {7,29}, {13,49}, {5,51}, {14,50}, {16,19}, {4,43}, {14,28}, {9,23}, {10,24}, {14,43}, {15,35}, {3,23}, {4,45}, {5,29}, {11,46}, {17,46}, {10,33}, {15,33}, {9,25}, {4,25}, {10,29}, {1,26}, {11,26}, {13,40}, {9,48}, {11,36}, {17,22}, {10,49}, {10,28}, {15,18}, {6,38}, {14,31}, {2,39}, {7,44}, {8,43}, {13,32}, {4,22}, {3,28}, {17,37}, {15,37}, {15,51}, {8,20}, {14,47}, {3,21}, {11,30}, {17,21}, {11,27}, {8,49}, {17,50}, {1,20}, {9,47}, {12,47}, {13,23}, {7,46}, {17,38}, {16,42}, {12,32}, {3,36}, {14,41}, {3,37}, {16,38}, {6,44}, {6,27}, {11,35}, {12,37}, {2,30}, {12,20}, {1,18}, {15,24}, {4,19}, {12,45}, {1,24} }; // ETB51.4 // Bipartite(17,34) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8912896 EdgesBipt[51][4]:={ {16,25}, {6,48}, {12,48}, {14,25}, {12,26}, {2,38}, {4,42}, {6,36}, {16,30}, {10,27}, {11,29}, {1,40}, {7,38}, {7,33}, {12,31}, {13,48}, {3,32}, {13,34}, {6,50}, {2,33}, {9,39}, {9,19}, {10,44}, {3,30}, {14,42}, {1,32}, {17,43}, {6,45}, {14,20}, {2,19}, {5,26}, {15,28}, {3,18}, {11,49}, {11,34}, {13,51}, {5,23}, {12,46}, {4,37}, {4,20}, {9,27}, {2,41}, {17,24}, {4,39}, {16,47}, {15,25}, {2,50}, {6,33}, {12,34}, {2,36}, {8,21}, {8,18}, {10,41}, {12,51}, {7,47}, {5,43}, {14,28}, {10,24}, {8,35}, {14,45}, {8,26}, {11,46}, {17,46}, {15,45}, {15,50}, {3,27}, {7,30}, {15,33}, {11,51}, {3,47}, {5,28}, {12,29}, {4,25}, {10,29}, {1,35}, {11,37}, {8,40}, {13,22}, {7,35}, {2,24}, {6,31}, {9,44}, {6,19}, {4,51}, {3,35}, {1,23}, {2,21}, {12,43}, {15,42}, {16,27}, {10,49}, {5,45}, {7,18}, {8,38}, {8,43}, {14,23}, {14,37}, {4,22}, {1,49}, {5,31}, {9,24}, {8,23}, {16,22}, {5,48}, {3,49}, {17,21}, {3,44}, {16,44}, {1,37}, {1,20}, {11,32}, {17,41}, {17,29}, {10,32}, {13,36}, {17,38}, {11,20}, {7,21}, {16,42}, {15,47}, {14,40}, {7,50}, {9,41}, {17,26}, {9,36}, {13,31}, {4,34}, {10,46}, {13,19}, {15,30}, {16,39}, {1,18}, {5,40}, {9,22}, {6,28}, {13,39} }; // ETB51.5 // Bipartite(24,27) Valencies [9,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2592 EdgesBipt[51][5]:={ {6,48}, {3,33}, {6,32}, {17,44}, {17,36}, {18,39}, {4,27}, {12,29}, {18,48}, {21,48}, {23,29}, {17,38}, {15,46}, {10,37}, {17,47}, {18,32}, {16,27}, {4,50}, {16,40}, {9,45}, {8,42}, {8,28}, {16,31}, {21,37}, {22,46}, {24,27}, {3,43}, {3,25}, {12,38}, {20,40}, {7,41}, {10,26}, {12,41}, {22,42}, {15,44}, {2,27}, {3,35}, {5,47}, {22,32}, {7,51}, {12,35}, {23,48}, {24,44}, {10,44}, {18,41}, {20,30}, {8,31}, {11,28}, {6,29}, {4,38}, {19,33}, {20,38}, {22,45}, {11,33}, {20,50}, {2,36}, {9,47}, {3,49}, {9,32}, {9,27}, {24,37}, {15,40}, {1,44}, {4,41}, {12,49}, {23,45}, {12,44}, {19,29}, {14,30}, {14,40}, {8,45}, {7,46}, {11,51}, {9,41}, {5,25}, {2,39}, {7,32}, {24,42}, {1,31}, {7,43}, {7,25}, {20,31}, {17,33}, {23,36}, {15,27}, {21,44}, {1,51}, {6,43}, {4,33}, {10,29}, {10,31}, {9,34}, {24,32}, {13,49}, {10,40}, {1,29}, {3,39}, {13,31}, {24,47}, {2,32}, {14,48}, {18,44}, {19,42}, {6,50}, {13,43}, {17,30}, {15,35}, {21,25}, {17,49}, {5,49}, {23,25}, {8,35}, {18,26}, {14,37}, {23,38}, {9,51}, {10,46}, {18,36}, {4,28}, {4,43}, {20,43}, {16,48}, {4,46}, {21,33}, {5,28}, {24,35}, {8,26}, {13,30}, {5,41}, {4,36}, {12,27}, {19,46}, {22,25}, {16,45}, {22,39}, {1,42}, {5,31}, {6,26}, {14,49}, {1,39}, {21,30}, {20,25}, {5,36}, {1,25}, {19,45}, {7,29}, {9,30}, {21,50}, {13,46}, {19,49}, {16,34}, {20,35}, {22,50}, {13,26}, {6,42}, {11,26}, {23,40}, {14,45}, {11,37}, {2,29}, {18,28}, {8,38}, {23,33}, {10,36}, {3,48}, {15,51}, {15,33}, {14,32}, {13,41}, {2,47}, {1,47}, {6,38}, {2,40}, {11,40}, {10,50}, {18,51}, {20,47}, {6,34}, {11,47}, {3,42}, {16,39}, {12,48}, {9,38}, {3,28}, {8,46}, {14,35}, {5,45}, {15,39}, {21,34}, {8,51}, {17,26}, {12,31}, {13,34}, {11,34}, {17,42}, {7,35}, {13,39}, {16,50}, {11,43}, {15,30}, {19,34}, {7,37}, {22,30}, {22,36}, {1,34}, {5,37}, {21,41}, {2,43}, {16,28}, {19,37}, {19,27}, {24,50}, {24,28}, {2,49}, {14,26}, {23,51} }; // ETB51.6 // Bipartite(24,27) Valencies [9,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 138663194171277312 EdgesBipt[51][6]:={ {6,48}, {10,25}, {9,28}, {2,33}, {18,39}, {18,48}, {21,48}, {23,29}, {24,48}, {17,38}, {15,46}, {17,47}, {10,37}, {14,51}, {21,32}, {22,37}, {5,38}, {2,51}, {16,47}, {8,42}, {19,44}, {21,37}, {4,29}, {20,27}, {22,46}, {8,33}, {1,27}, {7,44}, {12,39}, {2,27}, {5,47}, {3,37}, {13,35}, {15,48}, {24,30}, {7,34}, {16,25}, {12,35}, {14,50}, {7,36}, {24,44}, {2,41}, {17,40}, {8,27}, {16,29}, {2,42}, {16,43}, {2,45}, {4,38}, {5,40}, {11,38}, {3,46}, {11,33}, {6,31}, {6,40}, {20,50}, {21,46}, {14,33}, {2,36}, {9,48}, {10,38}, {10,47}, {14,36}, {9,32}, {19,26}, {15,32}, {22,34}, {1,44}, {5,29}, {8,41}, {11,49}, {12,49}, {12,44}, {11,51}, {8,45}, {17,51}, {9,41}, {24,39}, {7,43}, {11,31}, {10,28}, {7,25}, {17,33}, {20,33}, {6,30}, {4,47}, {18,49}, {10,29}, {6,49}, {16,37}, {9,50}, {24,26}, {3,39}, {18,30}, {3,32}, {23,42}, {15,41}, {18,44}, {15,50}, {2,32}, {7,26}, {8,36}, {13,43}, {11,29}, {13,44}, {6,44}, {9,37}, {17,49}, {5,49}, {15,37}, {14,42}, {1,45}, {24,49}, {13,25}, {20,45}, {18,26}, {14,41}, {23,47}, {3,50}, {23,38}, {20,51}, {10,46}, {4,28}, {4,43}, {22,29}, {1,43}, {16,38}, {4,46}, {22,43}, {13,36}, {24,35}, {17,31}, {18,31}, {5,42}, {12,26}, {24,40}, {10,43}, {21,39}, {22,25}, {8,32}, {5,31}, {6,26}, {12,40}, {12,30}, {21,30}, {17,29}, {1,25}, {22,28}, {19,45}, {5,51}, {22,47}, {19,36}, {9,30}, {13,27}, {21,50}, {1,35}, {16,34}, {23,49}, {4,37}, {13,26}, {23,40}, {14,45}, {3,30}, {5,33}, {1,26}, {23,33}, {4,34}, {3,48}, {8,50}, {10,34}, {14,32}, {19,43}, {20,42}, {11,40}, {20,36}, {11,47}, {19,25}, {16,46}, {15,28}, {9,39}, {12,48}, {4,25}, {3,28}, {7,27}, {20,41}, {7,45}, {3,41}, {23,31}, {15,39}, {18,40}, {9,46}, {8,51}, {6,39}, {12,31}, {13,34}, {17,42}, {19,35}, {7,35}, {13,45}, {15,30}, {19,34}, {1,34}, {21,41}, {21,28}, {6,35}, {11,42}, {18,35}, {16,28}, {20,32}, {14,27}, {19,27}, {24,31}, {1,36}, {2,50}, {22,38}, {23,51} }; // ETB51.7 // Bipartite(24,27) Valencies [9,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17832200896512 EdgesBipt[51][7]:={ {3,33}, {16,41}, {6,32}, {17,35}, {17,44}, {11,36}, {13,40}, {16,33}, {18,29}, {23,29}, {24,48}, {23,27}, {18,32}, {4,50}, {7,48}, {8,43}, {12,32}, {7,38}, {8,28}, {18,38}, {18,50}, {3,45}, {23,28}, {20,40}, {1,40}, {10,26}, {9,44}, {12,39}, {12,41}, {2,27}, {21,42}, {21,35}, {9,43}, {15,48}, {19,47}, {24,30}, {7,34}, {19,48}, {21,43}, {14,50}, {10,44}, {8,25}, {2,41}, {13,47}, {18,41}, {9,35}, {17,46}, {8,31}, {13,29}, {12,50}, {11,28}, {6,29}, {2,45}, {15,45}, {6,47}, {2,25}, {22,45}, {11,38}, {1,38}, {2,34}, {2,36}, {17,37}, {14,36}, {9,26}, {19,30}, {4,41}, {12,49}, {23,45}, {19,29}, {22,35}, {7,39}, {4,42}, {17,39}, {24,39}, {1,31}, {7,43}, {7,25}, {20,31}, {22,27}, {23,36}, {15,27}, {21,44}, {1,51}, {19,38}, {4,33}, {21,26}, {10,31}, {22,44}, {9,34}, {3,51}, {15,42}, {24,32}, {9,42}, {13,49}, {16,37}, {10,40}, {1,29}, {7,30}, {3,39}, {13,31}, {23,37}, {9,25}, {13,33}, {2,32}, {18,44}, {16,32}, {6,50}, {11,29}, {21,51}, {5,30}, {6,44}, {17,30}, {21,25}, {5,46}, {17,48}, {5,48}, {24,49}, {20,28}, {18,26}, {14,41}, {23,47}, {3,27}, {18,47}, {23,38}, {9,51}, {4,28}, {1,33}, {10,45}, {20,43}, {4,46}, {8,37}, {21,33}, {15,36}, {5,28}, {24,40}, {24,41}, {7,47}, {17,28}, {16,51}, {1,42}, {1,49}, {5,44}, {6,26}, {8,40}, {12,40}, {12,30}, {20,49}, {14,34}, {20,25}, {11,46}, {20,46}, {7,29}, {6,41}, {22,31}, {13,42}, {14,25}, {5,39}, {20,37}, {4,37}, {14,45}, {22,26}, {10,35}, {3,30}, {8,34}, {11,37}, {4,51}, {11,27}, {10,27}, {20,34}, {22,49}, {23,46}, {10,36}, {3,48}, {13,51}, {15,51}, {15,33}, {14,32}, {19,39}, {19,43}, {10,49}, {1,47}, {6,38}, {9,33}, {16,42}, {11,47}, {14,43}, {8,49}, {19,25}, {5,26}, {16,46}, {3,42}, {13,38}, {12,48}, {11,45}, {8,46}, {22,40}, {15,39}, {21,34}, {17,26}, {12,31}, {16,50}, {15,30}, {19,34}, {5,35}, {22,36}, {5,37}, {2,43}, {6,35}, {3,36}, {16,28}, {18,35}, {14,27}, {4,32}, {24,50}, {24,31}, {2,50} }; // ETB51.8 // Bipartite(24,27) Valencies [9,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5308416 EdgesBipt[51][8]:={ {3,33}, {17,50}, {9,28}, {6,32}, {17,35}, {11,36}, {17,36}, {4,27}, {12,29}, {5,34}, {18,29}, {24,48}, {21,40}, {18,32}, {16,27}, {4,50}, {18,46}, {21,32}, {7,48}, {14,39}, {8,42}, {16,31}, {21,37}, {8,33}, {1,27}, {3,43}, {12,38}, {17,34}, {9,44}, {12,39}, {4,31}, {22,42}, {15,44}, {10,33}, {3,35}, {24,30}, {15,47}, {19,48}, {14,50}, {15,43}, {24,44}, {8,25}, {2,41}, {13,47}, {2,28}, {14,28}, {6,29}, {6,47}, {2,25}, {11,38}, {10,48}, {21,46}, {10,38}, {19,40}, {9,32}, {5,50}, {22,34}, {5,29}, {8,41}, {8,47}, {24,43}, {11,49}, {2,37}, {5,43}, {12,44}, {19,29}, {14,30}, {14,40}, {11,51}, {2,39}, {7,32}, {24,39}, {23,34}, {4,45}, {7,25}, {22,27}, {23,36}, {15,27}, {21,44}, {1,51}, {3,44}, {20,33}, {23,26}, {10,31}, {13,49}, {22,51}, {12,43}, {17,43}, {7,50}, {24,26}, {3,39}, {4,35}, {23,37}, {15,41}, {8,36}, {18,44}, {19,42}, {5,30}, {6,44}, {17,30}, {6,46}, {11,30}, {15,35}, {9,37}, {1,45}, {13,25}, {10,42}, {18,26}, {19,31}, {14,41}, {3,27}, {14,37}, {18,47}, {23,38}, {20,51}, {18,36}, {4,28}, {21,31}, {4,46}, {22,43}, {8,37}, {21,33}, {21,38}, {10,51}, {16,49}, {5,42}, {12,26}, {7,31}, {24,40}, {10,43}, {5,41}, {9,40}, {8,32}, {16,45}, {1,49}, {6,26}, {22,33}, {12,40}, {12,30}, {14,49}, {1,39}, {17,29}, {20,25}, {5,36}, {1,25}, {11,46}, {19,45}, {17,41}, {7,29}, {22,31}, {13,27}, {24,38}, {16,34}, {14,25}, {19,32}, {20,37}, {23,49}, {13,26}, {11,26}, {6,36}, {11,37}, {16,35}, {10,27}, {6,45}, {1,26}, {4,34}, {23,46}, {10,34}, {13,51}, {13,48}, {15,33}, {20,42}, {1,47}, {4,49}, {2,40}, {9,33}, {20,36}, {20,47}, {22,48}, {19,25}, {16,46}, {18,45}, {15,28}, {12,48}, {9,38}, {24,29}, {3,28}, {20,41}, {7,45}, {19,50}, {3,41}, {1,48}, {15,39}, {9,46}, {8,51}, {11,34}, {3,47}, {17,42}, {13,39}, {16,50}, {2,30}, {13,45}, {5,35}, {9,31}, {21,28}, {6,35}, {16,28}, {18,35}, {7,40}, {7,42}, {20,32}, {2,50}, {2,49}, {22,38}, {23,30}, {23,51} }; // ETB51.9 // Bipartite(15,36) Valencies [12,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 360 EdgesBipt[51][9]:={ {2,44}, {2,24}, {1,20}, {5,17}, {11,20}, {6,32}, {4,27}, {13,21}, {11,35}, {13,40}, {15,24}, {4,16}, {12,45}, {11,25}, {4,50}, {2,23}, {8,43}, {5,38}, {12,32}, {8,28}, {3,45}, {8,33}, {3,25}, {7,41}, {7,44}, {1,40}, {10,26}, {9,44}, {4,19}, {12,41}, {2,27}, {3,37}, {13,35}, {15,48}, {8,39}, {11,41}, {7,51}, {8,25}, {12,34}, {8,44}, {13,29}, {13,16}, {10,22}, {6,22}, {4,38}, {15,29}, {5,40}, {3,46}, {10,48}, {6,40}, {6,31}, {2,34}, {1,17}, {2,36}, {1,50}, {9,47}, {10,38}, {7,20}, {14,21}, {14,36}, {15,32}, {15,40}, {2,38}, {12,46}, {9,19}, {14,30}, {7,32}, {1,31}, {10,41}, {11,22}, {4,45}, {7,43}, {2,35}, {11,44}, {6,30}, {4,33}, {5,23}, {6,49}, {15,42}, {10,21}, {14,16}, {13,49}, {8,17}, {3,39}, {2,32}, {6,33}, {15,50}, {5,18}, {11,29}, {5,30}, {14,47}, {6,46}, {11,30}, {5,24}, {12,47}, {4,48}, {13,23}, {12,28}, {8,22}, {1,45}, {13,28}, {10,42}, {1,28}, {3,27}, {9,51}, {4,43}, {8,37}, {15,36}, {12,26}, {12,33}, {10,43}, {5,41}, {7,47}, {1,42}, {3,19}, {14,18}, {12,23}, {11,24}, {6,26}, {14,34}, {14,49}, {3,21}, {1,25}, {11,46}, {5,51}, {7,29}, {9,30}, {13,27}, {13,46}, {1,35}, {14,25}, {7,28}, {15,18}, {10,35}, {10,17}, {4,51}, {3,24}, {1,26}, {4,34}, {10,36}, {1,16}, {8,50}, {15,22}, {15,51}, {13,48}, {9,17}, {6,38}, {2,31}, {9,33}, {9,36}, {14,43}, {8,49}, {8,18}, {3,42}, {9,39}, {12,48}, {11,19}, {10,19}, {4,20}, {7,27}, {5,45}, {3,31}, {15,39}, {6,37}, {11,34}, {3,47}, {6,20}, {13,39}, {5,21}, {7,37}, {9,31}, {5,37}, {9,16}, {7,42}, {9,23}, {12,18}, {14,29}, {2,50}, {2,49}, {14,26} }; // ETB51.10 // Bipartite(15,36) Valencies [12,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 100306130042880000000 EdgesBipt[51][10]:={ {2,24}, {11,20}, {13,32}, {12,29}, {4,24}, {12,51}, {12,45}, {4,30}, {7,48}, {2,23}, {8,43}, {8,28}, {3,43}, {3,25}, {1,40}, {9,44}, {4,19}, {14,38}, {12,39}, {7,22}, {4,31}, {12,41}, {15,44}, {10,33}, {3,35}, {3,37}, {7,34}, {12,35}, {7,36}, {14,50}, {8,25}, {2,41}, {8,31}, {11,50}, {2,42}, {10,22}, {11,28}, {3,17}, {8,16}, {15,45}, {6,21}, {14,23}, {11,38}, {6,31}, {1,17}, {9,48}, {2,36}, {8,19}, {3,49}, {9,32}, {12,17}, {15,32}, {9,26}, {7,46}, {4,42}, {15,26}, {11,22}, {10,28}, {2,35}, {11,44}, {1,22}, {15,27}, {6,43}, {6,49}, {10,21}, {9,42}, {13,49}, {2,48}, {10,40}, {9,50}, {1,29}, {7,30}, {13,31}, {7,16}, {6,33}, {15,50}, {5,18}, {13,43}, {1,23}, {13,44}, {5,30}, {13,50}, {14,47}, {5,24}, {12,47}, {4,48}, {8,22}, {5,48}, {13,25}, {15,20}, {9,20}, {1,28}, {14,41}, {10,46}, {4,43}, {10,45}, {3,29}, {8,37}, {10,51}, {5,42}, {12,33}, {2,17}, {4,36}, {6,51}, {12,27}, {14,17}, {3,19}, {12,23}, {6,27}, {8,40}, {3,23}, {5,36}, {6,19}, {1,46}, {11,46}, {5,51}, {9,30}, {10,39}, {1,35}, {14,20}, {15,21}, {5,39}, {7,28}, {4,37}, {11,26}, {13,26}, {11,16}, {13,19}, {8,34}, {5,33}, {9,18}, {2,29}, {10,27}, {6,45}, {14,44}, {1,16}, {10,34}, {15,51}, {11,32}, {14,32}, {15,33}, {2,47}, {6,25}, {1,47}, {4,49}, {11,40}, {9,36}, {5,27}, {15,38}, {8,49}, {4,18}, {13,38}, {9,38}, {4,25}, {8,46}, {14,35}, {1,41}, {13,37}, {5,45}, {3,41}, {7,24}, {3,31}, {15,39}, {9,24}, {6,39}, {6,37}, {11,34}, {3,47}, {5,21}, {2,30}, {13,20}, {2,18}, {1,34}, {7,40}, {7,42}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16} }; // ETB51.11 // Bipartite(15,36) Valencies [12,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 261213880320 EdgesBipt[51][11]:={ {6,48}, {10,25}, {2,24}, {11,36}, {14,19}, {4,26}, {3,22}, {4,16}, {12,45}, {10,37}, {11,25}, {4,50}, {14,51}, {6,17}, {14,39}, {2,23}, {8,43}, {12,22}, {8,33}, {3,25}, {7,41}, {1,40}, {9,44}, {14,38}, {2,19}, {15,44}, {12,42}, {5,47}, {5,20}, {3,37}, {14,31}, {1,21}, {12,35}, {14,50}, {10,44}, {2,28}, {12,34}, {5,32}, {9,35}, {8,44}, {8,31}, {13,29}, {6,29}, {3,17}, {15,45}, {4,38}, {3,34}, {3,46}, {6,31}, {1,17}, {2,36}, {9,47}, {8,19}, {3,49}, {9,32}, {15,32}, {9,27}, {12,46}, {11,49}, {11,51}, {8,45}, {14,30}, {5,25}, {11,22}, {4,45}, {10,28}, {2,35}, {1,22}, {15,27}, {6,30}, {6,43}, {4,33}, {5,23}, {4,21}, {10,31}, {9,34}, {15,42}, {6,18}, {2,48}, {10,40}, {1,29}, {7,30}, {2,16}, {7,16}, {6,24}, {13,50}, {7,17}, {5,24}, {12,47}, {5,49}, {1,45}, {14,42}, {5,48}, {15,20}, {9,20}, {1,28}, {3,50}, {9,51}, {4,28}, {1,33}, {3,29}, {3,26}, {13,36}, {8,26}, {9,22}, {12,33}, {10,43}, {7,47}, {8,32}, {8,21}, {14,18}, {12,23}, {11,24}, {13,24}, {11,39}, {5,44}, {12,30}, {10,32}, {5,36}, {6,19}, {1,46}, {11,46}, {7,29}, {6,41}, {13,27}, {15,21}, {7,28}, {4,37}, {6,42}, {13,26}, {15,18}, {4,40}, {7,23}, {6,36}, {11,37}, {11,27}, {8,38}, {1,16}, {8,50}, {13,51}, {15,51}, {13,48}, {15,33}, {2,47}, {10,49}, {13,41}, {4,49}, {2,40}, {2,31}, {14,43}, {9,39}, {13,38}, {10,19}, {4,25}, {3,38}, {11,48}, {8,20}, {1,41}, {3,41}, {15,39}, {9,46}, {10,20}, {11,34}, {7,35}, {13,39}, {13,17}, {15,30}, {5,35}, {1,34}, {5,37}, {2,43}, {7,40}, {7,42}, {9,23}, {14,27}, {12,18}, {12,21}, {14,26}, {7,18}, {10,16} }; // ETB51.12 // Bipartite(15,36) Valencies [12,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 94371840 EdgesBipt[51][12]:={ {6,48}, {2,24}, {13,32}, {6,32}, {12,29}, {2,46}, {14,19}, {3,22}, {3,40}, {12,45}, {4,30}, {9,45}, {7,38}, {8,28}, {4,29}, {8,33}, {1,40}, {9,44}, {14,38}, {12,39}, {2,19}, {15,44}, {3,35}, {13,35}, {15,48}, {14,31}, {11,41}, {15,43}, {2,28}, {9,35}, {8,27}, {13,16}, {2,42}, {10,22}, {15,25}, {3,18}, {6,29}, {3,17}, {4,38}, {6,47}, {6,21}, {14,23}, {3,46}, {11,33}, {2,34}, {10,38}, {8,19}, {1,18}, {10,47}, {7,20}, {9,32}, {9,26}, {9,27}, {12,36}, {1,44}, {12,46}, {2,37}, {12,44}, {11,51}, {8,45}, {14,30}, {14,40}, {7,39}, {9,41}, {2,39}, {7,32}, {15,26}, {1,31}, {7,49}, {7,43}, {10,28}, {7,25}, {11,44}, {1,22}, {6,30}, {4,47}, {4,33}, {5,23}, {10,29}, {15,19}, {10,40}, {9,50}, {7,50}, {8,17}, {2,16}, {13,33}, {14,48}, {5,18}, {11,23}, {6,50}, {13,43}, {11,29}, {6,24}, {13,50}, {15,35}, {5,24}, {12,47}, {4,48}, {12,28}, {5,49}, {15,37}, {13,25}, {8,35}, {14,41}, {14,37}, {10,46}, {4,43}, {15,17}, {6,23}, {1,43}, {8,37}, {5,42}, {12,26}, {9,22}, {7,31}, {5,41}, {4,36}, {12,27}, {9,40}, {14,22}, {5,31}, {13,24}, {1,49}, {10,32}, {14,49}, {5,36}, {1,25}, {5,51}, {6,41}, {13,42}, {14,20}, {15,21}, {11,26}, {6,42}, {11,16}, {2,21}, {3,30}, {5,33}, {11,37}, {3,24}, {4,51}, {8,38}, {1,26}, {1,16}, {3,48}, {10,34}, {13,51}, {9,17}, {2,31}, {10,50}, {11,47}, {5,27}, {3,42}, {4,18}, {11,19}, {4,25}, {4,20}, {3,28}, {8,20}, {7,27}, {7,45}, {8,46}, {5,45}, {15,39}, {8,51}, {10,20}, {6,39}, {11,34}, {13,34}, {13,17}, {15,30}, {1,34}, {3,36}, {9,23}, {7,21}, {12,18}, {12,21}, {1,36}, {2,49}, {10,16} }; // ETB51.13 // Bipartite(9,42) Valencies [14,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1180091589341478912000000 EdgesBipt[51][13]:={ {5,32}, {6,39}, {7,39}, {6,12}, {6,48}, {5,14}, {1,43}, {8,24}, {4,42}, {6,18}, {3,29}, {2,22}, {6,36}, {5,50}, {3,46}, {1,31}, {4,48}, {6,51}, {8,36}, {1,46}, {1,40}, {1,25}, {7,38}, {4,49}, {7,33}, {2,33}, {7,27}, {7,45}, {8,42}, {7,15}, {5,13}, {7,51}, {3,10}, {6,45}, {3,34}, {2,28}, {2,15}, {5,26}, {8,41}, {9,17}, {5,37}, {4,12}, {5,49}, {3,41}, {1,34}, {9,38}, {3,11}, {4,37}, {2,10}, {1,10}, {7,26}, {2,16}, {1,22}, {6,33}, {3,40}, {6,21}, {1,16}, {8,47}, {8,18}, {3,22}, {4,43}, {5,43}, {5,19}, {9,23}, {7,20}, {8,35}, {3,23}, {8,17}, {7,14}, {4,31}, {4,30}, {2,34}, {6,15}, {1,19}, {2,40}, {8,11}, {4,36}, {3,47}, {4,25}, {2,27}, {9,44}, {5,38}, {3,35}, {2,21}, {6,30}, {9,35}, {2,46}, {2,39}, {7,44}, {5,20}, {1,49}, {3,28}, {5,31}, {2,51}, {8,23}, {9,26}, {6,42}, {1,37}, {9,11}, {9,47}, {3,16}, {1,13}, {4,18}, {7,32}, {9,29}, {8,48}, {7,21}, {9,14}, {1,28}, {3,17}, {7,50}, {9,41}, {6,24}, {9,32}, {8,30}, {6,27}, {5,44}, {9,50}, {4,13}, {5,25}, {4,19}, {4,24}, {8,12}, {9,20}, {8,29}, {2,45} }; // ETB51.14 // Bipartite(6,45) Valencies [15,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 371504185344000000000 EdgesBipt[51][14]:={ {6,39}, {6,12}, {6,48}, {1,43}, {5,42}, {3,46}, {6,17}, {1,25}, {4,16}, {6,13}, {5,24}, {3,32}, {1,9}, {2,33}, {1,44}, {3,30}, {3,50}, {6,40}, {5,13}, {3,10}, {2,18}, {2,15}, {6,22}, {3,19}, {3,48}, {5,49}, {3,41}, {1,34}, {2,14}, {5,33}, {4,37}, {4,20}, {2,41}, {2,23}, {6,49}, {4,7}, {4,46}, {1,36}, {1,17}, {2,50}, {2,32}, {1,16}, {6,21}, {2,36}, {4,28}, {3,14}, {5,51}, {4,29}, {4,43}, {5,15}, {6,8}, {3,23}, {5,29}, {2,42}, {6,26}, {4,25}, {2,9}, {1,35}, {1,26}, {4,38}, {2,24}, {6,31}, {4,11}, {5,22}, {2,27}, {5,38}, {6,30}, {1,7}, {5,20}, {5,47}, {3,28}, {5,31}, {3,12}, {2,51}, {3,21}, {3,39}, {1,27}, {5,11}, {3,37}, {6,35}, {6,44}, {4,34}, {4,47}, {1,45}, {1,8}, {1,18}, {4,19}, {4,10}, {5,40}, {2,45} }; // ETB51.15 // Bipartite(6,45) Valencies [15,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338533188894720 EdgesBipt[51][15]:={ {5,32}, {6,12}, {6,48}, {3,15}, {1,43}, {2,38}, {4,42}, {6,18}, {4,14}, {2,22}, {3,38}, {5,30}, {6,36}, {5,50}, {1,31}, {4,27}, {6,51}, {6,41}, {5,35}, {1,46}, {2,20}, {4,40}, {5,34}, {4,49}, {2,37}, {2,33}, {1,44}, {4,44}, {3,30}, {1,32}, {3,45}, {3,10}, {2,18}, {5,21}, {1,29}, {4,12}, {5,49}, {3,41}, {3,11}, {6,11}, {2,23}, {4,39}, {1,17}, {3,13}, {6,46}, {1,22}, {2,50}, {6,33}, {3,40}, {6,21}, {1,16}, {5,51}, {4,29}, {5,19}, {5,15}, {3,23}, {6,26}, {2,35}, {4,25}, {2,9}, {2,24}, {6,31}, {2,48}, {1,7}, {5,45}, {2,39}, {5,20}, {5,47}, {3,28}, {5,36}, {3,26}, {5,17}, {6,16}, {1,14}, {6,42}, {2,8}, {1,37}, {1,13}, {3,25}, {3,8}, {1,28}, {4,9}, {2,7}, {3,43}, {4,34}, {6,27}, {1,47}, {4,19}, {4,10}, {4,24} }; // ETB51.16 // Bipartite(17,34) Valencies [16,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 272 EdgesBipt[51][16]:={ {13,21}, {7,48}, {10,37}, {11,49}, {6,25}, {10,18}, {17,18}, {8,51}, {12,22}, {3,26}, {1,49}, {13,37}, {1,40}, {14,38}, {15,44}, {14,50}, {4,31}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {1,19}, {8,23}, {3,21}, {14,45}, {3,39}, {16,28}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {8,31}, {13,27}, {14,29}, {2,33}, {17,35}, {4,38}, {11,29}, {10,42}, {11,27}, {1,20}, {3,18}, {10,47}, {2,34}, {12,28}, {12,48}, {4,43}, {16,48}, {15,32}, {12,46}, {7,45}, {8,37}, {5,41}, {17,39}, {13,30}, {11,39}, {7,33}, {10,20}, {17,26}, {1,24}, {15,30}, {12,23}, {13,42}, {1,36}, {6,18}, {16,34}, {13,51}, {6,46}, {16,43}, {11,18}, {8,38}, {13,26}, {9,47}, {5,50}, {6,24}, {14,32}, {8,49}, {6,34}, {9,29}, {9,39}, {11,51}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {5,27}, {14,46}, {2,39}, {4,18}, {14,35}, {3,47}, {7,32}, {12,24}, {1,31}, {13,49}, {2,30}, {11,42}, {14,34}, {17,29}, {8,48}, {7,19}, {4,32}, {2,44}, {12,47}, {6,36}, {3,30}, {13,48}, {1,47}, {2,24}, {11,23}, {10,36}, {15,37}, {10,38}, {15,34}, {10,46}, {13,25}, {8,47}, {8,24}, {8,41}, {7,46}, {17,31}, {13,36}, {2,23}, {15,23}, {4,47}, {13,45}, {3,25}, {17,28}, {7,35}, {11,46}, {2,27}, {12,30}, {1,22}, {11,24}, {5,19}, {13,22}, {1,25}, {9,30}, {14,27}, {16,41}, {6,45}, {9,25}, {10,22}, {5,40}, {10,30}, {4,34}, {15,35}, {12,29}, {6,31}, {16,26}, {15,40}, {14,37}, {1,44}, {13,38}, {7,49}, {9,41}, {16,31}, {16,45}, {7,39}, {3,41}, {4,29}, {9,44}, {6,43}, {6,37}, {8,32}, {9,24}, {5,31}, {17,22}, {2,19}, {16,44}, {4,44}, {7,40}, {12,43}, {17,50}, {13,44}, {2,45}, {5,46}, {3,33}, {16,36}, {10,50}, {3,50}, {9,28}, {3,34}, {2,21}, {15,29}, {2,22}, {16,20}, {16,38}, {11,45}, {1,33}, {12,36}, {5,26}, {4,42}, {5,29}, {16,50}, {4,25}, {3,28}, {11,19}, {8,33}, {5,47}, {7,51}, {14,24}, {11,41}, {7,25}, {9,50}, {5,21}, {2,50}, {6,41}, {17,40}, {12,34}, {17,21}, {8,44}, {16,23}, {6,42}, {15,51}, {14,20}, {14,25}, {5,49}, {7,26}, {11,28}, {11,20}, {15,18}, {16,33}, {8,35}, {2,40}, {6,21}, {17,45}, {4,26}, {15,20}, {17,37}, {13,28}, {1,28}, {3,27}, {7,20}, {5,42}, {15,36}, {10,43}, {7,43}, {9,40}, {1,27}, {17,23}, {10,23}, {15,26}, {9,43}, {4,19}, {14,22}, {8,39}, {9,42}, {16,19}, {5,36}, {10,32}, {4,39}, {12,35}, {12,19}, {17,43}, {14,48}, {2,42}, {6,33}, {12,21}, {2,32}, {12,51}, {17,49}, {3,46}, {9,48}, {5,48}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB51.17 // Bipartite(17,34) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17825792 EdgesBipt[51][17]:={ {15,33}, {7,48}, {16,47}, {15,38}, {11,49}, {9,32}, {16,51}, {11,25}, {5,43}, {12,22}, {3,26}, {1,49}, {13,37}, {1,40}, {16,22}, {14,38}, {13,39}, {14,50}, {2,35}, {17,33}, {3,35}, {10,33}, {8,21}, {3,19}, {3,23}, {2,18}, {1,21}, {16,28}, {5,32}, {4,51}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {6,32}, {11,35}, {11,29}, {6,29}, {1,20}, {3,18}, {10,47}, {12,28}, {12,48}, {16,42}, {15,32}, {4,30}, {8,30}, {12,46}, {8,37}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {6,39}, {6,49}, {17,20}, {12,31}, {17,26}, {15,30}, {5,37}, {13,20}, {16,25}, {13,42}, {15,19}, {6,18}, {16,34}, {6,46}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {17,36}, {2,29}, {1,38}, {2,36}, {10,51}, {9,36}, {12,49}, {9,39}, {11,51}, {8,42}, {4,22}, {1,18}, {5,27}, {3,43}, {14,46}, {2,39}, {3,31}, {13,49}, {7,37}, {6,27}, {11,42}, {14,34}, {15,50}, {3,36}, {8,48}, {16,18}, {8,50}, {2,24}, {10,36}, {14,33}, {14,23}, {13,25}, {17,51}, {11,48}, {8,47}, {9,38}, {14,21}, {8,45}, {3,29}, {17,31}, {1,51}, {10,19}, {9,22}, {9,19}, {13,45}, {4,47}, {3,25}, {11,34}, {7,35}, {11,46}, {6,30}, {11,24}, {10,31}, {9,31}, {5,19}, {13,22}, {13,50}, {17,19}, {14,27}, {16,41}, {17,44}, {9,25}, {10,30}, {16,30}, {7,23}, {12,45}, {6,22}, {4,34}, {15,35}, {12,29}, {11,32}, {14,43}, {3,42}, {1,44}, {15,49}, {14,40}, {9,41}, {6,23}, {16,45}, {4,36}, {4,29}, {9,44}, {1,32}, {7,24}, {10,28}, {9,24}, {17,22}, {2,19}, {16,44}, {7,40}, {2,41}, {12,43}, {5,20}, {17,50}, {10,40}, {9,21}, {2,28}, {7,21}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {14,51}, {2,21}, {5,24}, {2,22}, {4,46}, {16,27}, {3,45}, {5,26}, {7,47}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {7,31}, {8,33}, {12,39}, {5,47}, {17,34}, {15,47}, {11,31}, {14,24}, {11,41}, {15,42}, {1,34}, {2,50}, {12,34}, {8,44}, {13,33}, {15,21}, {5,49}, {7,26}, {7,18}, {11,37}, {1,23}, {16,35}, {10,24}, {11,20}, {15,18}, {10,34}, {3,40}, {13,23}, {10,45}, {17,27}, {14,41}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {15,36}, {8,28}, {9,49}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {10,23}, {15,26}, {4,19}, {9,42}, {5,36}, {15,43}, {4,39}, {6,35}, {17,43}, {6,50}, {1,37}, {8,25}, {6,33}, {12,21}, {12,51}, {3,46}, {9,48}, {17,48}, {15,25}, {5,30}, {6,40} }; // ETB51.18 // Bipartite(24,27) Valencies [18,16] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2592 EdgesBipt[51][18]:={ {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {23,29}, {19,26}, {4,28}, {8,51}, {5,45}, {3,26}, {8,26}, {22,40}, {1,49}, {13,37}, {1,40}, {13,39}, {17,42}, {15,44}, {11,43}, {2,35}, {8,40}, {10,33}, {21,30}, {14,31}, {24,32}, {21,41}, {24,36}, {2,49}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {21,28}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {24,48}, {13,27}, {14,29}, {23,44}, {24,28}, {13,40}, {17,35}, {4,38}, {3,49}, {11,29}, {10,42}, {6,29}, {11,27}, {10,47}, {20,38}, {20,26}, {12,28}, {22,37}, {4,43}, {21,40}, {16,42}, {15,32}, {23,45}, {4,30}, {16,49}, {23,38}, {12,46}, {20,43}, {7,45}, {8,46}, {8,37}, {24,46}, {5,41}, {21,38}, {12,38}, {20,49}, {12,26}, {7,27}, {12,42}, {23,36}, {11,39}, {6,49}, {12,31}, {19,48}, {20,29}, {13,47}, {2,48}, {15,30}, {20,39}, {22,25}, {24,50}, {16,25}, {24,45}, {13,42}, {20,35}, {1,29}, {19,42}, {13,51}, {16,34}, {6,46}, {15,45}, {6,44}, {18,39}, {24,26}, {8,38}, {17,47}, {9,47}, {4,49}, {5,50}, {5,34}, {18,47}, {1,26}, {14,32}, {2,36}, {8,49}, {16,40}, {20,42}, {10,51}, {18,29}, {9,36}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {18,26}, {18,33}, {18,36}, {22,43}, {3,38}, {5,27}, {19,46}, {3,43}, {15,28}, {5,28}, {14,46}, {2,39}, {24,40}, {14,35}, {7,32}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {6,27}, {2,30}, {5,35}, {3,36}, {15,50}, {20,25}, {4,32}, {2,44}, {12,47}, {6,36}, {23,40}, {16,29}, {11,36}, {13,48}, {1,47}, {22,48}, {21,47}, {22,26}, {10,36}, {20,51}, {10,38}, {10,46}, {15,34}, {11,33}, {13,25}, {21,25}, {17,51}, {14,39}, {19,30}, {8,47}, {9,38}, {7,46}, {8,45}, {3,29}, {17,31}, {13,36}, {1,41}, {1,51}, {12,41}, {11,44}, {4,47}, {3,44}, {20,31}, {24,39}, {23,48}, {11,34}, {17,28}, {7,35}, {11,46}, {22,30}, {2,27}, {12,30}, {6,30}, {7,50}, {4,33}, {7,34}, {9,31}, {10,29}, {18,25}, {24,25}, {23,51}, {22,31}, {22,50}, {13,50}, {20,30}, {13,31}, {9,30}, {5,39}, {24,38}, {3,32}, {18,44}, {22,45}, {20,44}, {17,44}, {19,41}, {13,29}, {9,25}, {15,46}, {17,30}, {5,40}, {20,47}, {4,50}, {16,30}, {12,45}, {4,34}, {10,25}, {17,38}, {6,31}, {21,32}, {14,43}, {3,42}, {15,40}, {19,50}, {14,37}, {24,35}, {18,31}, {19,44}, {1,48}, {24,43}, {9,41}, {16,45}, {3,41}, {23,34}, {4,36}, {15,39}, {22,41}, {1,32}, {24,29}, {21,39}, {6,43}, {6,37}, {10,28}, {5,31}, {17,25}, {20,48}, {19,34}, {16,44}, {4,44}, {21,49}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {2,26}, {18,41}, {23,37}, {7,29}, {14,47}, {2,28}, {8,29}, {22,38}, {8,36}, {13,44}, {24,49}, {8,27}, {2,45}, {21,46}, {5,46}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {23,32}, {14,51}, {11,30}, {19,33}, {19,39}, {3,34}, {4,27}, {19,43}, {16,46}, {18,28}, {11,47}, {2,31}, {1,33}, {21,33}, {16,27}, {19,25}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {21,35}, {18,49}, {7,51}, {14,49}, {15,47}, {22,33}, {11,31}, {20,33}, {21,44}, {19,35}, {5,51}, {11,41}, {9,50}, {1,34}, {15,42}, {22,51}, {13,35}, {21,43}, {7,42}, {2,50}, {21,27}, {6,41}, {23,49}, {12,34}, {8,44}, {23,30}, {6,42}, {21,51}, {19,32}, {15,51}, {23,46}, {14,25}, {20,34}, {7,26}, {11,37}, {23,33}, {16,35}, {14,42}, {10,27}, {10,34}, {16,33}, {8,35}, {10,45}, {17,27}, {2,40}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {23,25}, {3,27}, {9,27}, {7,38}, {15,36}, {22,35}, {10,43}, {21,36}, {15,31}, {8,28}, {9,49}, {7,43}, {9,40}, {19,51}, {24,42}, {20,40}, {1,27}, {5,44}, {5,25}, {15,26}, {22,36}, {9,43}, {22,47}, {23,41}, {9,34}, {24,33}, {10,32}, {12,35}, {6,35}, {17,32}, {11,50}, {23,26}, {6,50}, {22,28}, {1,37}, {18,42}, {4,48}, {16,32}, {6,33}, {2,32}, {18,34}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {15,25}, {5,33}, {18,37} }; // ETB51.19 // Bipartite(24,27) Valencies [18,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18793251222977208360370176000000 EdgesBipt[51][19]:={ {24,34}, {15,33}, {18,45}, {19,28}, {10,37}, {16,47}, {14,36}, {6,25}, {5,38}, {23,29}, {19,26}, {4,28}, {8,51}, {5,45}, {8,26}, {22,40}, {1,49}, {13,37}, {1,40}, {14,38}, {17,42}, {14,50}, {2,35}, {17,33}, {4,31}, {21,30}, {15,27}, {24,36}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {16,28}, {21,28}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {24,48}, {14,29}, {23,44}, {24,28}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {11,27}, {10,47}, {19,40}, {20,38}, {20,26}, {12,28}, {19,31}, {22,37}, {12,48}, {4,43}, {21,40}, {23,45}, {8,30}, {16,49}, {23,38}, {12,46}, {9,33}, {24,46}, {5,41}, {17,39}, {7,41}, {12,42}, {6,39}, {23,36}, {11,39}, {6,49}, {10,26}, {12,31}, {12,40}, {20,29}, {17,26}, {13,47}, {24,30}, {2,48}, {15,30}, {20,39}, {22,25}, {16,25}, {24,31}, {24,45}, {20,35}, {1,29}, {23,42}, {12,37}, {16,34}, {6,46}, {15,45}, {10,35}, {16,43}, {18,39}, {8,38}, {13,26}, {17,47}, {5,50}, {4,49}, {17,36}, {2,29}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {22,34}, {24,37}, {9,36}, {6,34}, {1,43}, {12,49}, {9,39}, {11,51}, {8,42}, {18,33}, {18,36}, {6,51}, {22,43}, {5,27}, {19,46}, {3,43}, {15,28}, {20,41}, {2,39}, {9,46}, {24,40}, {14,35}, {7,32}, {19,38}, {1,31}, {3,31}, {12,27}, {19,47}, {3,51}, {13,49}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {19,49}, {17,29}, {8,48}, {4,32}, {22,49}, {2,44}, {21,45}, {8,50}, {6,36}, {23,39}, {18,51}, {16,29}, {11,36}, {3,30}, {9,51}, {1,47}, {22,26}, {14,33}, {2,51}, {15,37}, {20,51}, {10,38}, {15,34}, {10,46}, {11,33}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {11,48}, {8,47}, {4,41}, {8,41}, {21,37}, {7,46}, {8,45}, {1,41}, {22,29}, {11,44}, {4,47}, {24,39}, {3,25}, {23,48}, {21,42}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {22,44}, {7,34}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {24,25}, {23,51}, {1,25}, {22,31}, {22,50}, {13,50}, {23,35}, {20,30}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {9,25}, {15,46}, {17,30}, {20,47}, {4,50}, {23,47}, {12,45}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {12,25}, {16,26}, {15,40}, {3,42}, {19,50}, {1,44}, {13,38}, {15,49}, {23,27}, {18,31}, {19,44}, {7,49}, {24,43}, {16,31}, {15,39}, {22,41}, {4,29}, {1,32}, {21,39}, {19,29}, {6,43}, {6,37}, {8,32}, {24,27}, {24,51}, {10,28}, {20,48}, {19,34}, {16,44}, {4,44}, {21,49}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {17,50}, {10,40}, {7,29}, {14,47}, {18,30}, {8,29}, {22,38}, {8,36}, {13,44}, {24,49}, {8,27}, {2,45}, {21,46}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {20,50}, {23,32}, {14,51}, {11,30}, {9,28}, {3,34}, {19,43}, {16,46}, {18,28}, {11,47}, {4,46}, {16,38}, {11,45}, {18,27}, {21,33}, {12,36}, {3,45}, {5,26}, {19,25}, {7,47}, {5,29}, {16,50}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {20,27}, {18,49}, {20,33}, {15,48}, {19,35}, {5,51}, {13,34}, {11,41}, {7,25}, {15,42}, {1,34}, {13,35}, {21,43}, {2,50}, {21,27}, {12,34}, {8,44}, {23,30}, {6,28}, {6,42}, {4,35}, {21,48}, {21,51}, {19,32}, {18,43}, {15,51}, {7,26}, {20,45}, {1,50}, {23,33}, {2,47}, {16,35}, {14,42}, {10,34}, {3,40}, {8,35}, {17,27}, {17,45}, {9,45}, {14,41}, {4,26}, {22,46}, {13,28}, {1,28}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {23,50}, {15,36}, {22,35}, {10,43}, {21,36}, {15,31}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {24,42}, {5,44}, {9,43}, {22,47}, {1,46}, {3,37}, {8,39}, {22,32}, {9,42}, {23,41}, {5,36}, {9,34}, {24,33}, {15,43}, {13,46}, {10,32}, {17,32}, {11,50}, {23,26}, {14,48}, {22,28}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {12,51}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB51.20 // Bipartite(24,27) Valencies [18,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 138663194171277312 EdgesBipt[51][20]:={ {15,33}, {18,45}, {7,48}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {14,36}, {11,49}, {9,32}, {5,38}, {23,29}, {19,26}, {11,25}, {4,28}, {5,43}, {8,51}, {5,45}, {22,40}, {13,37}, {14,38}, {13,39}, {17,42}, {11,43}, {14,50}, {17,33}, {4,31}, {20,46}, {21,30}, {24,32}, {21,41}, {24,36}, {10,39}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {21,28}, {1,35}, {7,30}, {15,41}, {4,37}, {4,40}, {2,46}, {13,43}, {24,48}, {13,27}, {14,29}, {10,48}, {23,44}, {2,33}, {6,32}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {11,27}, {10,47}, {20,38}, {2,34}, {22,37}, {2,25}, {12,48}, {4,43}, {21,40}, {16,48}, {18,32}, {15,32}, {23,45}, {4,30}, {16,49}, {23,38}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {21,38}, {7,41}, {23,31}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {23,36}, {6,49}, {10,26}, {12,31}, {12,40}, {19,48}, {20,29}, {17,26}, {24,30}, {15,30}, {22,25}, {24,50}, {21,50}, {18,35}, {16,25}, {24,31}, {24,45}, {23,43}, {1,36}, {23,42}, {16,34}, {10,35}, {16,43}, {6,44}, {18,39}, {24,26}, {8,38}, {13,26}, {17,47}, {9,47}, {4,49}, {17,36}, {2,29}, {5,34}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {22,34}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {18,26}, {18,33}, {18,36}, {6,51}, {22,43}, {3,38}, {5,27}, {19,46}, {15,28}, {24,41}, {14,46}, {20,41}, {9,46}, {24,40}, {3,47}, {7,32}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {6,27}, {11,42}, {5,35}, {14,34}, {15,50}, {17,29}, {20,25}, {22,49}, {1,30}, {19,27}, {8,50}, {14,28}, {6,36}, {23,40}, {18,51}, {16,29}, {11,36}, {3,30}, {13,48}, {9,51}, {22,48}, {21,47}, {22,26}, {14,33}, {2,51}, {15,37}, {20,51}, {10,38}, {10,46}, {11,33}, {13,25}, {17,51}, {21,31}, {19,30}, {8,47}, {8,41}, {9,38}, {21,37}, {7,46}, {8,45}, {3,29}, {17,31}, {13,36}, {1,41}, {22,29}, {12,41}, {11,44}, {13,45}, {4,47}, {24,39}, {11,34}, {21,42}, {7,35}, {19,45}, {2,43}, {22,30}, {2,27}, {12,30}, {6,30}, {7,50}, {22,44}, {7,34}, {10,31}, {9,31}, {10,44}, {10,29}, {23,51}, {1,25}, {22,31}, {13,50}, {23,35}, {9,30}, {3,32}, {14,27}, {18,44}, {7,28}, {6,45}, {17,44}, {19,41}, {8,34}, {15,46}, {10,30}, {5,40}, {20,47}, {23,47}, {16,30}, {12,45}, {4,34}, {10,25}, {17,38}, {6,31}, {21,32}, {16,26}, {15,40}, {3,42}, {14,43}, {19,50}, {14,37}, {1,44}, {15,49}, {23,27}, {24,35}, {18,31}, {19,44}, {1,48}, {9,41}, {16,31}, {7,39}, {3,41}, {23,34}, {15,39}, {4,29}, {1,32}, {21,39}, {8,32}, {22,39}, {24,27}, {24,51}, {10,28}, {5,31}, {17,25}, {19,34}, {16,44}, {4,44}, {21,49}, {2,41}, {12,50}, {20,32}, {18,41}, {10,40}, {14,47}, {18,30}, {2,28}, {8,29}, {22,38}, {8,36}, {13,44}, {24,49}, {8,27}, {2,45}, {21,46}, {3,48}, {3,33}, {13,32}, {1,45}, {20,50}, {14,51}, {3,50}, {19,39}, {9,28}, {19,43}, {16,46}, {15,29}, {11,47}, {4,46}, {8,43}, {16,38}, {11,45}, {18,27}, {20,28}, {21,33}, {12,36}, {12,44}, {5,26}, {19,25}, {2,37}, {5,29}, {4,25}, {3,28}, {12,33}, {8,33}, {12,39}, {5,47}, {17,34}, {20,27}, {18,49}, {15,47}, {11,31}, {20,33}, {15,48}, {19,35}, {5,51}, {13,34}, {7,25}, {9,50}, {6,26}, {1,34}, {15,42}, {13,35}, {2,50}, {6,41}, {23,49}, {21,29}, {17,40}, {24,44}, {19,36}, {6,42}, {4,35}, {21,48}, {21,51}, {19,32}, {15,51}, {14,25}, {5,49}, {20,34}, {7,26}, {20,45}, {1,50}, {23,33}, {2,47}, {16,35}, {14,42}, {10,34}, {3,40}, {17,27}, {17,45}, {14,41}, {18,50}, {4,26}, {22,46}, {16,39}, {13,28}, {1,28}, {23,25}, {5,42}, {2,38}, {12,32}, {22,35}, {10,43}, {15,31}, {7,44}, {8,28}, {9,49}, {7,43}, {18,40}, {9,40}, {24,42}, {1,27}, {5,44}, {5,25}, {22,47}, {1,46}, {3,37}, {9,42}, {5,36}, {24,33}, {13,46}, {4,39}, {12,35}, {7,36}, {6,35}, {23,26}, {17,43}, {6,50}, {22,28}, {1,37}, {8,25}, {2,42}, {18,42}, {4,48}, {6,33}, {2,32}, {12,51}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,33}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB51.21 // Bipartite(24,27) Valencies [18,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17832200896512 EdgesBipt[51][21]:={ {24,34}, {18,45}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {11,49}, {9,32}, {6,25}, {5,38}, {19,26}, {11,25}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {13,37}, {14,38}, {13,39}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {21,30}, {14,31}, {21,41}, {24,36}, {2,49}, {10,39}, {6,48}, {19,37}, {21,28}, {5,32}, {1,35}, {15,41}, {4,40}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {23,44}, {24,28}, {14,44}, {2,33}, {4,38}, {3,49}, {11,35}, {10,42}, {10,47}, {19,40}, {20,38}, {20,26}, {12,28}, {19,31}, {22,37}, {4,43}, {21,40}, {16,48}, {15,32}, {4,30}, {8,30}, {16,49}, {12,46}, {7,45}, {24,46}, {5,41}, {21,38}, {12,38}, {7,41}, {23,31}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {22,42}, {7,33}, {20,29}, {2,48}, {20,39}, {22,25}, {24,47}, {21,50}, {16,25}, {24,45}, {20,35}, {23,43}, {1,36}, {19,42}, {23,42}, {12,37}, {16,34}, {6,46}, {16,43}, {18,39}, {24,26}, {8,38}, {13,26}, {17,47}, {9,47}, {4,49}, {5,50}, {17,36}, {2,29}, {5,34}, {18,46}, {1,26}, {13,41}, {20,36}, {16,40}, {20,42}, {10,51}, {22,34}, {24,37}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {8,42}, {18,33}, {18,36}, {6,51}, {22,43}, {3,38}, {5,27}, {19,46}, {3,43}, {15,28}, {14,46}, {20,41}, {2,39}, {9,46}, {14,35}, {3,47}, {7,32}, {3,31}, {12,27}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {15,50}, {19,49}, {17,29}, {8,48}, {2,44}, {1,30}, {21,45}, {19,27}, {8,50}, {14,28}, {12,47}, {6,36}, {23,39}, {23,40}, {18,51}, {16,29}, {13,48}, {22,48}, {21,47}, {14,33}, {2,51}, {15,37}, {20,51}, {10,38}, {10,46}, {15,34}, {11,33}, {13,25}, {17,51}, {14,39}, {21,31}, {11,48}, {8,47}, {8,41}, {9,38}, {21,37}, {7,46}, {8,45}, {3,29}, {17,31}, {13,36}, {1,41}, {4,45}, {22,29}, {11,44}, {13,45}, {4,47}, {3,44}, {3,25}, {23,48}, {11,34}, {7,35}, {19,45}, {22,30}, {6,30}, {7,50}, {9,31}, {10,29}, {18,25}, {24,25}, {23,51}, {1,25}, {22,50}, {13,50}, {23,35}, {20,30}, {9,30}, {24,38}, {3,32}, {7,28}, {6,45}, {20,44}, {19,41}, {15,46}, {10,30}, {5,40}, {20,47}, {16,30}, {12,45}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {21,32}, {12,25}, {16,26}, {15,40}, {19,50}, {14,37}, {1,44}, {15,49}, {24,35}, {18,31}, {19,44}, {14,40}, {1,48}, {7,49}, {24,43}, {9,41}, {16,31}, {16,45}, {3,41}, {23,34}, {4,36}, {22,41}, {4,29}, {1,32}, {24,29}, {21,39}, {6,43}, {6,37}, {8,32}, {22,39}, {24,27}, {24,51}, {10,28}, {5,31}, {17,25}, {20,48}, {16,44}, {4,44}, {21,49}, {7,40}, {17,41}, {12,43}, {20,32}, {2,26}, {17,50}, {14,47}, {18,30}, {2,28}, {8,29}, {22,38}, {8,36}, {13,44}, {8,27}, {21,46}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {14,51}, {11,30}, {3,50}, {19,33}, {9,28}, {3,34}, {4,27}, {18,28}, {15,29}, {2,31}, {16,38}, {18,27}, {12,36}, {16,27}, {12,44}, {2,37}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {17,34}, {20,27}, {18,49}, {7,51}, {14,49}, {15,47}, {22,33}, {11,31}, {20,33}, {19,35}, {5,51}, {13,34}, {11,41}, {9,50}, {1,34}, {22,51}, {13,35}, {7,42}, {21,27}, {23,49}, {21,29}, {17,40}, {24,44}, {12,34}, {8,44}, {19,36}, {23,30}, {6,28}, {6,42}, {4,35}, {21,48}, {19,32}, {18,43}, {5,49}, {7,26}, {20,45}, {1,50}, {23,33}, {2,47}, {16,35}, {14,42}, {10,34}, {3,40}, {8,35}, {17,27}, {2,40}, {17,45}, {9,45}, {4,26}, {22,46}, {16,39}, {13,28}, {1,28}, {23,25}, {9,27}, {5,42}, {2,38}, {23,50}, {10,43}, {21,36}, {15,31}, {7,44}, {9,49}, {18,40}, {9,40}, {19,51}, {24,42}, {1,27}, {5,25}, {15,26}, {22,47}, {1,46}, {3,37}, {8,39}, {22,32}, {23,41}, {5,36}, {24,33}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {11,50}, {23,26}, {17,43}, {14,48}, {22,28}, {1,37}, {2,42}, {18,42}, {4,48}, {6,33}, {18,34}, {12,51}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {15,25}, {5,33}, {18,37}, {9,37}, {6,40} }; // ETB51.22 // Bipartite(24,27) Valencies [18,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5308416 EdgesBipt[51][22]:={ {24,34}, {15,33}, {18,45}, {6,38}, {10,37}, {16,47}, {11,49}, {9,32}, {5,38}, {23,29}, {16,51}, {11,25}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {22,40}, {1,49}, {13,37}, {13,39}, {2,35}, {17,33}, {4,31}, {8,40}, {21,30}, {15,27}, {24,32}, {21,41}, {2,49}, {10,39}, {6,48}, {3,39}, {16,37}, {20,37}, {21,28}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {4,37}, {2,46}, {13,43}, {24,48}, {13,27}, {14,29}, {23,44}, {24,28}, {14,44}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {6,29}, {10,47}, {19,40}, {20,38}, {20,26}, {12,28}, {19,31}, {22,37}, {2,25}, {12,48}, {21,40}, {16,48}, {18,32}, {15,32}, {23,45}, {4,30}, {16,49}, {23,38}, {12,46}, {9,33}, {20,43}, {7,45}, {8,37}, {24,46}, {5,41}, {21,38}, {7,41}, {23,31}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {12,31}, {12,40}, {20,29}, {23,28}, {17,26}, {24,30}, {2,48}, {15,30}, {20,39}, {22,25}, {24,47}, {18,35}, {16,25}, {24,31}, {24,45}, {13,42}, {20,35}, {9,35}, {1,36}, {19,42}, {13,51}, {16,34}, {18,39}, {24,26}, {8,38}, {13,26}, {17,47}, {9,47}, {4,49}, {5,50}, {2,29}, {5,34}, {1,26}, {14,32}, {20,36}, {20,42}, {22,34}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {18,26}, {18,33}, {18,36}, {6,51}, {22,43}, {5,27}, {3,43}, {15,28}, {5,28}, {14,46}, {20,41}, {24,40}, {14,35}, {1,42}, {7,32}, {19,38}, {1,31}, {12,27}, {19,47}, {3,51}, {1,39}, {13,49}, {6,27}, {2,30}, {3,36}, {15,50}, {19,49}, {17,29}, {20,25}, {4,32}, {2,44}, {1,30}, {19,27}, {8,50}, {14,28}, {12,47}, {6,36}, {23,39}, {18,51}, {3,30}, {13,48}, {21,47}, {10,36}, {14,33}, {2,51}, {15,37}, {20,51}, {10,38}, {10,46}, {15,34}, {11,33}, {13,25}, {17,51}, {21,31}, {11,48}, {19,30}, {4,41}, {9,38}, {8,41}, {18,38}, {21,37}, {8,45}, {13,36}, {1,51}, {11,44}, {13,45}, {4,47}, {24,39}, {23,48}, {11,34}, {17,28}, {21,42}, {7,35}, {19,45}, {11,46}, {2,43}, {22,30}, {12,30}, {4,33}, {22,44}, {10,31}, {9,31}, {10,44}, {17,46}, {1,25}, {22,31}, {22,50}, {13,50}, {23,35}, {13,31}, {9,30}, {3,32}, {22,45}, {16,41}, {6,45}, {20,44}, {19,41}, {15,46}, {10,30}, {5,40}, {4,50}, {23,47}, {16,30}, {12,45}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {21,32}, {14,43}, {3,42}, {15,40}, {14,37}, {1,44}, {18,31}, {19,44}, {7,49}, {1,48}, {24,43}, {9,41}, {16,31}, {3,41}, {23,34}, {4,36}, {15,39}, {22,41}, {9,44}, {24,29}, {21,39}, {19,29}, {22,39}, {24,27}, {10,28}, {17,25}, {7,40}, {2,41}, {17,41}, {12,43}, {2,26}, {17,50}, {10,40}, {23,37}, {7,29}, {14,47}, {2,28}, {8,29}, {22,38}, {8,36}, {13,44}, {24,49}, {5,46}, {3,48}, {3,33}, {16,36}, {14,26}, {1,45}, {10,50}, {20,50}, {14,51}, {3,50}, {9,28}, {3,34}, {4,27}, {19,43}, {16,46}, {11,47}, {4,46}, {8,43}, {16,38}, {11,45}, {18,27}, {20,28}, {21,33}, {16,27}, {12,44}, {5,26}, {19,25}, {7,47}, {2,37}, {5,29}, {16,50}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {8,33}, {12,39}, {5,47}, {17,34}, {21,35}, {18,49}, {7,51}, {14,49}, {11,31}, {20,33}, {21,44}, {15,48}, {19,35}, {5,51}, {7,25}, {6,26}, {15,42}, {22,27}, {13,35}, {7,42}, {23,49}, {21,29}, {17,40}, {24,44}, {12,34}, {8,44}, {19,36}, {6,42}, {4,35}, {21,48}, {19,32}, {15,51}, {23,46}, {14,25}, {5,49}, {20,45}, {1,50}, {11,37}, {23,33}, {11,28}, {2,47}, {16,35}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {8,35}, {10,45}, {17,27}, {17,45}, {14,41}, {18,50}, {22,46}, {23,25}, {3,27}, {7,38}, {23,50}, {12,32}, {15,36}, {10,43}, {21,36}, {7,44}, {8,28}, {7,43}, {18,40}, {9,40}, {19,51}, {24,42}, {20,40}, {1,27}, {5,25}, {15,26}, {22,36}, {22,47}, {1,46}, {3,37}, {8,39}, {9,42}, {9,34}, {13,46}, {15,43}, {7,36}, {6,35}, {17,32}, {11,50}, {23,26}, {17,43}, {6,50}, {14,48}, {22,28}, {1,37}, {8,25}, {2,42}, {18,42}, {4,48}, {16,32}, {6,33}, {2,32}, {18,34}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,33}, {11,38}, {9,37}, {6,40} }; // ETB51.23 // Bipartite(21,30) Valencies [20,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36705568794877360078848000000000 EdgesBipt[51][23]:={ {15,33}, {18,45}, {19,28}, {10,37}, {16,47}, {14,36}, {6,25}, {5,38}, {19,26}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {17,42}, {14,50}, {2,35}, {17,33}, {4,31}, {21,30}, {15,27}, {8,23}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {16,28}, {21,28}, {5,32}, {1,35}, {4,37}, {4,40}, {21,22}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {11,27}, {10,47}, {19,40}, {20,38}, {20,26}, {12,28}, {19,31}, {12,48}, {4,43}, {21,40}, {8,30}, {16,49}, {12,46}, {9,33}, {20,24}, {5,41}, {17,39}, {7,41}, {19,22}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {12,31}, {12,40}, {20,29}, {17,26}, {13,47}, {2,48}, {15,30}, {20,39}, {16,25}, {20,35}, {1,29}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {17,47}, {5,50}, {4,49}, {6,24}, {17,36}, {2,29}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {9,36}, {6,34}, {1,43}, {12,49}, {9,39}, {11,51}, {8,42}, {4,22}, {18,33}, {18,36}, {6,51}, {5,27}, {19,46}, {3,43}, {15,28}, {20,41}, {2,39}, {9,46}, {14,35}, {7,32}, {12,24}, {19,38}, {1,31}, {3,31}, {12,27}, {19,47}, {3,51}, {7,37}, {13,49}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {19,23}, {19,49}, {17,29}, {8,48}, {4,32}, {2,44}, {21,45}, {8,50}, {6,36}, {18,51}, {16,29}, {11,36}, {3,30}, {9,51}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {2,51}, {15,37}, {20,51}, {10,38}, {14,23}, {10,46}, {15,34}, {11,33}, {18,22}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {21,37}, {7,46}, {8,45}, {1,41}, {2,23}, {9,22}, {11,44}, {4,47}, {3,25}, {21,42}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {13,50}, {20,30}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {20,47}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {19,50}, {3,22}, {1,44}, {13,38}, {15,49}, {18,31}, {19,44}, {7,49}, {16,31}, {15,39}, {4,29}, {1,32}, {21,39}, {19,29}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {20,48}, {19,34}, {16,44}, {4,44}, {21,49}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {17,50}, {10,40}, {7,29}, {14,47}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {21,46}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {20,50}, {14,51}, {11,30}, {9,28}, {3,34}, {19,43}, {16,46}, {18,28}, {5,24}, {11,47}, {4,46}, {18,24}, {16,38}, {11,45}, {18,27}, {21,33}, {12,36}, {3,45}, {5,26}, {19,25}, {7,47}, {5,29}, {16,50}, {10,41}, {4,25}, {3,28}, {14,30}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {20,27}, {18,49}, {20,33}, {15,48}, {14,24}, {19,35}, {5,51}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {21,43}, {2,50}, {21,27}, {17,24}, {20,23}, {12,34}, {8,44}, {6,28}, {6,42}, {16,23}, {4,35}, {21,48}, {21,51}, {19,32}, {18,43}, {15,51}, {7,26}, {20,45}, {1,50}, {2,47}, {1,23}, {16,35}, {14,42}, {10,34}, {3,40}, {13,23}, {8,35}, {17,27}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {13,28}, {1,28}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {21,36}, {15,31}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {5,44}, {17,23}, {10,23}, {9,43}, {1,46}, {3,37}, {8,39}, {9,42}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {17,32}, {21,24}, {11,50}, {14,48}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {12,51}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB51.24 // Bipartite(18,33) Valencies [22,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 142434729055340426428416000000000 EdgesBipt[51][24]:={ {15,33}, {18,45}, {10,37}, {16,47}, {14,36}, {6,25}, {5,38}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {17,42}, {14,50}, {2,35}, {17,33}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {3,21}, {14,45}, {6,48}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {11,27}, {1,20}, {10,47}, {12,28}, {12,48}, {4,43}, {8,30}, {16,49}, {9,33}, {12,46}, {5,41}, {17,39}, {7,41}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {13,47}, {2,48}, {15,30}, {13,20}, {16,25}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {17,47}, {5,50}, {4,49}, {6,24}, {17,36}, {2,29}, {1,38}, {18,46}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {9,36}, {6,34}, {1,43}, {11,51}, {9,39}, {12,49}, {8,42}, {4,22}, {18,33}, {18,36}, {6,51}, {5,27}, {3,43}, {15,28}, {2,39}, {9,46}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {7,37}, {13,49}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {17,29}, {8,48}, {18,19}, {7,19}, {4,32}, {2,44}, {8,50}, {11,21}, {6,36}, {18,51}, {16,29}, {11,36}, {3,30}, {9,51}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {2,51}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {11,33}, {18,22}, {13,25}, {17,51}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {14,21}, {7,46}, {8,45}, {1,41}, {2,23}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {13,22}, {1,25}, {13,50}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {15,24}, {12,25}, {16,26}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {15,49}, {18,31}, {7,49}, {16,31}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {17,50}, {10,40}, {18,21}, {9,21}, {7,29}, {14,47}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {14,51}, {11,30}, {9,28}, {3,34}, {2,21}, {16,46}, {18,28}, {5,24}, {11,47}, {16,20}, {4,46}, {18,24}, {16,38}, {11,45}, {18,27}, {12,36}, {3,45}, {5,26}, {7,47}, {5,29}, {16,50}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {18,49}, {15,48}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {2,50}, {17,24}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {18,43}, {15,51}, {14,20}, {15,21}, {7,26}, {1,50}, {2,47}, {1,23}, {16,35}, {11,20}, {14,42}, {10,34}, {3,40}, {8,35}, {13,23}, {17,27}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {5,44}, {17,23}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {17,32}, {11,50}, {12,19}, {14,48}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {12,51}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB51.25 // Bipartite(15,36) Valencies [24,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1139477832442723411427328000000000 EdgesBipt[51][25]:={ {15,33}, {10,37}, {14,36}, {6,25}, {5,38}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {14,50}, {2,35}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {8,23}, {12,16}, {2,18}, {3,21}, {14,45}, {6,48}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {11,35}, {11,29}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {5,41}, {7,41}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {12,40}, {10,20}, {13,47}, {2,48}, {15,30}, {13,20}, {6,18}, {1,29}, {15,19}, {12,37}, {6,46}, {10,35}, {15,45}, {4,23}, {11,18}, {8,38}, {13,26}, {5,50}, {4,49}, {6,24}, {2,29}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {6,51}, {5,27}, {3,43}, {15,28}, {2,39}, {9,46}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {7,37}, {13,49}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {13,17}, {7,19}, {4,32}, {2,44}, {8,50}, {11,21}, {6,36}, {8,17}, {11,36}, {10,16}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {2,51}, {15,37}, {10,38}, {14,23}, {6,16}, {10,46}, {15,34}, {11,33}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {14,21}, {7,46}, {8,45}, {1,41}, {2,23}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {13,50}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {14,27}, {7,28}, {6,45}, {12,18}, {13,29}, {9,25}, {15,46}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {15,49}, {7,49}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {14,47}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {14,51}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {11,47}, {4,46}, {11,45}, {12,36}, {3,45}, {5,26}, {7,47}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {15,48}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {2,50}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {15,51}, {14,20}, {15,21}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {14,42}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {11,50}, {12,19}, {14,48}, {1,37}, {2,42}, {6,33}, {2,32}, {12,21}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {15,25}, {5,30}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB51.26 // Bipartite(15,36) Valencies [24,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 100306130042880000000 EdgesBipt[51][26]:={ {15,33}, {7,48}, {6,38}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {4,28}, {12,22}, {3,26}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {15,44}, {14,50}, {2,35}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {2,49}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {1,21}, {14,45}, {6,48}, {5,32}, {4,51}, {7,30}, {8,31}, {4,40}, {2,46}, {13,43}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {6,32}, {3,49}, {11,35}, {11,29}, {11,17}, {10,42}, {11,27}, {3,18}, {10,47}, {8,16}, {10,17}, {2,34}, {12,28}, {2,25}, {4,24}, {15,32}, {4,30}, {9,33}, {12,46}, {4,16}, {8,46}, {8,37}, {12,20}, {5,41}, {12,38}, {7,41}, {12,26}, {13,30}, {6,39}, {11,39}, {6,49}, {2,17}, {12,40}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {13,42}, {1,36}, {6,18}, {10,35}, {15,45}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {5,50}, {6,24}, {2,29}, {13,16}, {5,34}, {13,19}, {14,32}, {3,17}, {8,49}, {10,51}, {8,22}, {1,43}, {11,51}, {9,39}, {9,20}, {4,22}, {6,51}, {8,19}, {3,38}, {1,18}, {3,43}, {15,28}, {5,28}, {2,39}, {9,46}, {4,18}, {3,47}, {14,35}, {1,42}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {13,49}, {6,27}, {11,42}, {5,35}, {3,36}, {15,50}, {4,21}, {7,19}, {1,30}, {13,18}, {8,50}, {11,21}, {12,47}, {6,36}, {8,17}, {11,36}, {3,30}, {13,48}, {9,51}, {11,23}, {3,24}, {10,36}, {14,33}, {2,51}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {11,48}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {7,46}, {3,29}, {12,17}, {13,36}, {2,23}, {4,45}, {1,51}, {10,19}, {12,41}, {9,22}, {9,19}, {4,47}, {3,44}, {11,44}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {13,22}, {1,25}, {13,50}, {6,19}, {4,17}, {9,16}, {13,31}, {3,32}, {14,27}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {15,46}, {10,30}, {5,40}, {7,23}, {12,45}, {4,34}, {10,25}, {12,29}, {6,31}, {11,32}, {15,24}, {1,16}, {3,42}, {14,43}, {15,40}, {14,37}, {13,38}, {7,49}, {1,48}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {2,19}, {6,20}, {7,40}, {2,41}, {12,50}, {5,23}, {5,20}, {10,21}, {9,21}, {7,29}, {14,47}, {2,28}, {8,29}, {13,44}, {2,45}, {5,46}, {3,48}, {13,32}, {14,26}, {1,45}, {14,51}, {11,30}, {3,50}, {9,28}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {14,19}, {11,45}, {1,33}, {12,44}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {10,41}, {7,31}, {12,33}, {12,39}, {5,47}, {14,49}, {15,48}, {13,34}, {11,41}, {7,25}, {9,50}, {7,22}, {6,26}, {1,34}, {15,42}, {7,42}, {12,34}, {8,44}, {6,42}, {4,35}, {15,51}, {14,20}, {14,25}, {15,21}, {7,18}, {2,47}, {7,16}, {5,16}, {5,18}, {10,24}, {11,20}, {10,27}, {15,18}, {5,17}, {15,16}, {7,17}, {10,45}, {8,35}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {15,20}, {1,28}, {13,28}, {9,27}, {5,42}, {12,32}, {15,36}, {10,43}, {8,28}, {9,49}, {7,43}, {9,40}, {8,20}, {1,27}, {5,44}, {10,23}, {15,26}, {9,43}, {1,46}, {3,37}, {14,17}, {5,36}, {9,34}, {13,46}, {4,39}, {12,35}, {7,36}, {11,50}, {6,50}, {1,37}, {8,25}, {4,48}, {6,33}, {12,21}, {12,51}, {11,26}, {5,48}, {5,30}, {11,38}, {10,49}, {9,37} }; // ETB51.27 // Bipartite(15,36) Valencies [24,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 94371840 EdgesBipt[51][27]:={ {13,21}, {7,48}, {6,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {5,43}, {5,45}, {3,26}, {14,38}, {13,39}, {15,44}, {11,43}, {14,50}, {2,35}, {4,31}, {8,40}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {10,39}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {13,40}, {14,44}, {4,38}, {3,49}, {11,35}, {11,29}, {11,17}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {2,25}, {12,48}, {4,24}, {15,32}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {8,37}, {12,20}, {7,41}, {12,38}, {7,27}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {7,33}, {12,31}, {10,20}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,42}, {9,35}, {6,18}, {15,19}, {12,37}, {13,51}, {10,35}, {15,45}, {6,44}, {11,18}, {13,26}, {9,47}, {4,49}, {5,50}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {14,32}, {8,49}, {10,51}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {4,22}, {6,51}, {8,19}, {5,27}, {3,43}, {15,28}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {3,31}, {12,27}, {3,51}, {6,27}, {11,42}, {5,35}, {14,34}, {3,36}, {15,50}, {8,48}, {13,17}, {2,44}, {1,30}, {13,18}, {8,50}, {11,21}, {12,47}, {6,36}, {8,17}, {11,36}, {9,51}, {11,16}, {10,36}, {3,24}, {15,37}, {10,38}, {14,23}, {6,16}, {10,46}, {15,34}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {14,21}, {7,46}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {1,51}, {15,23}, {12,41}, {11,44}, {3,44}, {13,45}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {12,30}, {4,33}, {7,50}, {7,34}, {11,24}, {5,19}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {13,50}, {2,20}, {9,16}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {9,25}, {15,46}, {10,22}, {5,40}, {10,30}, {7,23}, {12,45}, {6,22}, {4,34}, {12,29}, {6,31}, {12,25}, {1,16}, {3,42}, {3,22}, {14,37}, {1,44}, {15,49}, {7,49}, {1,48}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {1,32}, {6,43}, {8,32}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {14,47}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {8,27}, {2,45}, {6,47}, {3,33}, {13,32}, {14,26}, {11,30}, {3,50}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {14,19}, {11,45}, {1,33}, {12,36}, {2,37}, {4,42}, {5,29}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {5,47}, {7,51}, {14,49}, {15,48}, {14,24}, {5,51}, {13,34}, {9,50}, {7,22}, {6,26}, {1,34}, {13,35}, {2,50}, {6,41}, {13,33}, {14,20}, {15,21}, {5,49}, {1,50}, {11,37}, {2,47}, {7,16}, {5,16}, {1,23}, {10,24}, {11,20}, {14,42}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {2,40}, {6,21}, {14,41}, {4,26}, {1,28}, {13,28}, {7,20}, {7,38}, {5,42}, {2,38}, {15,36}, {15,31}, {8,28}, {9,49}, {4,20}, {5,25}, {10,23}, {15,26}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {9,34}, {13,46}, {15,43}, {12,35}, {12,19}, {14,48}, {1,37}, {4,48}, {2,32}, {6,33}, {12,51}, {11,26}, {3,46}, {9,48}, {5,33}, {15,25}, {11,38}, {6,40} }; // ETB51.28 // Bipartite(12,39) Valencies [26,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20027462383013306679246716928000000 EdgesBipt[51][28]:={ {10,37}, {6,25}, {5,38}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {1,40}, {2,35}, {4,31}, {6,15}, {11,15}, {8,21}, {3,19}, {5,15}, {1,19}, {8,23}, {12,16}, {2,18}, {3,21}, {6,48}, {3,39}, {11,14}, {1,35}, {5,32}, {4,37}, {4,40}, {2,33}, {4,38}, {3,49}, {11,29}, {11,35}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {4,13}, {5,41}, {7,41}, {1,13}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {12,40}, {10,20}, {2,48}, {2,15}, {12,13}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {6,51}, {5,27}, {7,14}, {3,43}, {2,39}, {9,46}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {3,13}, {9,13}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {7,19}, {4,32}, {2,44}, {8,50}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {2,51}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {10,13}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {7,28}, {6,45}, {12,18}, {9,25}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {7,49}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {8,29}, {8,36}, {8,27}, {2,45}, {3,48}, {3,33}, {10,50}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {11,47}, {4,46}, {11,45}, {12,36}, {3,45}, {5,26}, {7,47}, {5,29}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {8,14}, {3,15}, {5,51}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {9,15}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {10,23}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {11,50}, {12,19}, {1,37}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB51.29 // Bipartite(25,26) Valencies [26,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6255538562216633250270726284985715654656000000000000 EdgesBipt[51][29]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {25,49}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {14,51}, {3,51}, {18,42}, {5,46}, {16,42}, {12,44}, 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{17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {9,46}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {13,31}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {5,49}, {11,28}, {13,39}, {11,43}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {12,51}, {7,44}, {20,34}, {25,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.30 // Bipartite(24,27) Valencies [27,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6755981647193963910292384387784572907028480000000000 EdgesBipt[51][30]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {17,51}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, 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{2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {13,31}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {24,28}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {12,51}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {23,25}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.31 // Bipartite(9,42) Valencies [28,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 858677449671695523872702988288000000 EdgesBipt[51][31]:={ {2,44}, {6,48}, {8,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,50}, {8,30}, {2,23}, {1,13}, {5,38}, {2,51}, {9,45}, {7,38}, {8,42}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {9,49}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {9,43}, {2,26}, {7,34}, {8,39}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,44}, {8,27}, {2,42}, {6,22}, {3,18}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,40}, {6,31}, {1,38}, {4,10}, {1,17}, {2,36}, {9,48}, {1,50}, {4,22}, {3,49}, {7,11}, {7,20}, {5,50}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {8,41}, {2,38}, {8,47}, {9,19}, {8,14}, {7,46}, {8,45}, {2,39}, {7,32}, {1,31}, {3,12}, {7,49}, {7,13}, {7,25}, {7,43}, {2,35}, {1,22}, {6,12}, {6,30}, {4,47}, {6,43}, {5,23}, {9,34}, {6,49}, {3,51}, {9,42}, {2,20}, {6,18}, {2,48}, {1,29}, {7,50}, {8,17}, {3,39}, {4,35}, {9,25}, {7,16}, {2,32}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {6,46}, {8,11}, {5,24}, {9,37}, {5,48}, {8,35}, {9,10}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {9,51}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {8,26}, {5,42}, {9,22}, {7,31}, {6,15}, {5,41}, {2,17}, {6,51}, {7,47}, {9,13}, {5,12}, {9,40}, {8,32}, {8,21}, {3,19}, {6,27}, {1,49}, {5,44}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {1,46}, {5,51}, {7,29}, {6,28}, {2,11}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {9,18}, {3,24}, {2,29}, {6,45}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {8,50}, {8,24}, {2,47}, {6,25}, {1,47}, {4,49}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,26}, {8,18}, {3,42}, {9,39}, {4,25}, {4,11}, {4,20}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {3,31}, {2,12}, {1,14}, {9,24}, {9,46}, {8,51}, {6,39}, {5,15}, {6,37}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {7,40}, {4,44}, {8,29}, {4,32}, {2,50} }; // ETB51.32 // Bipartite(9,42) Valencies [28,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1180091589341478912000000 EdgesBipt[51][32]:={ {2,44}, {6,48}, {8,48}, {1,11}, {3,33}, {5,17}, {1,20}, {2,33}, {6,16}, {2,46}, {7,15}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {8,30}, {7,48}, {1,13}, {5,38}, {2,51}, {9,45}, {7,38}, {8,42}, {8,28}, {4,29}, {1,32}, {3,45}, {8,33}, {3,15}, {7,44}, {1,40}, {2,15}, {4,19}, {9,44}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {2,26}, {8,39}, {7,51}, {7,36}, {8,10}, {2,28}, {2,14}, {5,32}, {8,15}, {9,35}, {4,23}, {8,27}, {9,11}, {6,22}, {3,17}, {8,16}, {2,45}, {6,21}, {3,34}, {2,25}, {7,12}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {2,34}, {1,17}, {9,48}, {1,50}, {9,47}, {4,22}, {9,29}, {3,14}, {7,20}, {9,32}, {5,50}, {9,26}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {2,10}, {8,41}, {2,38}, {8,47}, {2,37}, {5,43}, {8,45}, {4,42}, {7,39}, {5,25}, {9,41}, {2,39}, {7,32}, {1,31}, {7,49}, {7,13}, {9,14}, {7,25}, {7,43}, {1,22}, {6,12}, {3,44}, {6,30}, {4,47}, {6,43}, {5,23}, {3,20}, {6,49}, {3,51}, {2,13}, {9,42}, {2,20}, {6,18}, {9,50}, {1,29}, {7,30}, {7,50}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {8,11}, {5,24}, {4,48}, {5,49}, {8,22}, {5,48}, {8,35}, {5,14}, {9,20}, {1,28}, {4,13}, {3,11}, {7,14}, {3,50}, {3,27}, {9,51}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,42}, {7,31}, {6,15}, {5,41}, {4,36}, {6,51}, {5,12}, {8,21}, {5,31}, {6,27}, {1,49}, {5,44}, {8,40}, {3,23}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {1,46}, {6,28}, {9,30}, {1,35}, {1,37}, {3,16}, {4,37}, {6,42}, {4,40}, {6,36}, {2,21}, {8,34}, {9,18}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {9,17}, {8,24}, {6,25}, {1,47}, {4,49}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,26}, {8,18}, {4,18}, {9,39}, {9,38}, {4,25}, {3,38}, {4,11}, {4,12}, {5,13}, {3,28}, {7,27}, {7,45}, {8,46}, {1,41}, {3,41}, {7,24}, {1,14}, {9,24}, {8,51}, {6,39}, {6,37}, {7,33}, {3,47}, {5,19}, {9,15}, {6,13}, {7,37}, {5,35}, {1,34}, {5,37}, {7,19}, {2,43}, {4,17}, {9,21}, {7,42}, {9,23}, {7,21}, {8,29}, {2,50}, {2,49}, {7,18} }; // ETB51.33 // Bipartite(23,28) Valencies [28,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7881978588392957895341115119082001724866560000000000 EdgesBipt[51][33]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {23,45}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {10,51}, {15,51}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {15,24}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {23,26}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {13,31}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {23,51}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {23,25}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {18,32}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.34 // Bipartite(22,29) Valencies [29,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9938146915799816476734449497972958696570880000000000 EdgesBipt[51][34]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {10,51}, {15,51}, {5,23}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {8,34}, {9,29}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {12,23}, {13,31}, {5,31}, {22,23}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.35 // Bipartite(6,45) Valencies [30,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 107334681208961940484087873536000000000 EdgesBipt[51][35]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,50}, {2,23}, {1,13}, {5,38}, {2,51}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {2,26}, {2,9}, {6,7}, {2,41}, {2,14}, {5,32}, {4,23}, {2,42}, {6,22}, {3,18}, {3,7}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {5,50}, {4,8}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,39}, {1,31}, {3,12}, {2,35}, {1,22}, {6,12}, {4,47}, {6,30}, {6,43}, {5,23}, {6,49}, {3,51}, {2,20}, {6,18}, {2,48}, {1,29}, {3,39}, {4,35}, {2,32}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {5,48}, {5,14}, {1,28}, {4,13}, {3,27}, {4,7}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {5,42}, {6,15}, {5,41}, {2,17}, {6,51}, {5,12}, {3,19}, {6,27}, {1,49}, {5,44}, {5,36}, {3,21}, {1,25}, {6,19}, {1,46}, {6,9}, {5,51}, {6,28}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {4,49}, {6,34}, {6,10}, {5,27}, {5,26}, {3,42}, {5,9}, {4,25}, {4,11}, {1,8}, {4,20}, {3,28}, {1,41}, {5,45}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {3,36}, {4,44}, {4,32}, {2,50} }; // ETB51.36 // Bipartite(6,45) Valencies [30,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 371504185344000000000 EdgesBipt[51][36]:={ {6,48}, {3,33}, {2,24}, {5,17}, {2,33}, {6,32}, {2,46}, {5,34}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {6,17}, {2,23}, {5,38}, {2,51}, {4,29}, {1,32}, {3,13}, {1,27}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {2,42}, {6,22}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {3,46}, {6,31}, {6,40}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {5,22}, {4,22}, {3,49}, {1,18}, {3,14}, {4,8}, {5,11}, {1,44}, {5,29}, {2,10}, {2,38}, {2,37}, {5,43}, {6,8}, {5,25}, {3,12}, {6,12}, {4,47}, {6,30}, {4,21}, {3,20}, {6,49}, {3,51}, {2,20}, {6,18}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,50}, {6,24}, {6,44}, {5,24}, {4,48}, {5,7}, {5,49}, {1,45}, {1,9}, {1,28}, {4,13}, {3,11}, {3,50}, {4,7}, {4,28}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {4,46}, {5,42}, {6,15}, {6,51}, {3,19}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {5,36}, {3,21}, {2,7}, {1,25}, {1,46}, {6,9}, {5,51}, {6,41}, {6,14}, {2,11}, {1,35}, {1,37}, {4,37}, {6,42}, {4,40}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {3,48}, {5,8}, {2,47}, {4,49}, {5,27}, {5,26}, {3,42}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {1,14}, {5,15}, {6,39}, {3,47}, {6,13}, {5,35}, {2,18}, {1,34}, {2,43}, {4,17}, {6,35}, {4,39}, {4,44}, {1,36}, {2,50}, {5,16} }; // ETB51.37 // Bipartite(6,45) Valencies [30,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338533188894720 EdgesBipt[51][37]:={ {2,44}, {6,48}, {1,11}, {2,24}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,24}, {3,22}, {3,40}, {4,16}, {1,10}, {4,30}, {4,50}, {6,17}, {2,23}, {1,13}, {3,9}, {4,29}, {3,13}, {3,43}, {3,25}, {1,40}, {4,19}, {4,31}, {1,19}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {6,7}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {6,22}, {3,17}, {3,7}, {4,38}, {6,21}, {6,47}, {3,34}, {2,25}, {3,46}, {6,31}, {6,40}, {1,38}, {1,7}, {4,22}, {3,49}, {1,18}, {5,50}, {4,8}, {5,11}, {1,44}, {5,29}, {2,10}, {2,38}, {4,42}, {6,8}, {2,39}, {3,12}, {4,45}, {2,35}, {1,22}, {6,12}, {1,51}, {6,30}, {3,51}, {2,13}, {2,20}, {6,18}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {6,33}, {5,18}, {1,23}, {6,50}, {5,30}, {6,46}, {5,24}, {5,49}, {1,45}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,10}, {6,23}, {1,43}, {3,26}, {4,46}, {5,42}, {6,15}, {5,41}, {2,17}, {6,51}, {5,12}, {3,19}, {4,9}, {6,27}, {1,49}, {5,44}, {5,36}, {3,21}, {1,25}, {5,51}, {1,15}, {2,11}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {6,36}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {4,14}, {2,47}, {6,25}, {6,38}, {4,49}, {2,40}, {2,31}, {6,10}, {5,27}, {5,26}, {3,42}, {5,9}, {1,8}, {4,12}, {4,20}, {3,28}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {1,14}, {2,8}, {5,15}, {6,37}, {3,47}, {5,19}, {6,20}, {5,21}, {5,35}, {2,18}, {1,34}, {2,43}, {6,35}, {3,36}, {4,39}, {4,44}, {1,36}, {2,50} }; // ETB51.38 // Bipartite(21,30) Valencies [30,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13552018521545204286456067497235852768051200000000000 EdgesBipt[51][38]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,23}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {7,51}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.39 // Bipartite(20,31) Valencies [31,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20005360674661968232387528210205306467123200000000000 EdgesBipt[51][39]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,23}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {7,51}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,21}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {18,32}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.40 // Bipartite(3,48) Valencies [32,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 54955356778988513527852991250432000000000 EdgesBipt[51][40]:={ {3,15}, {1,43}, {2,38}, {1,11}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,47}, {1,38}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {3,34}, {3,31}, {2,18}, {2,15}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {1,34}, {2,14}, {2,41}, {2,23}, {1,10}, {1,17}, {3,13}, {1,22}, {2,50}, {2,32}, {3,40}, {1,16}, {2,36}, {2,17}, {1,50}, {3,9}, {3,22}, {2,42}, {3,27}, {1,19}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,24}, {3,42}, {2,27}, {3,4}, {1,23}, {2,21}, {2,48}, {1,7}, {2,39}, {2,12}, {1,49}, {3,28}, {3,24}, {3,12}, {2,51}, {2,6}, {3,21}, {1,14}, {1,41}, {3,49}, {3,39}, {2,8}, {1,37}, {1,20}, {3,16}, {1,13}, {3,25}, {2,26}, {3,6}, {1,28}, {3,36}, {3,37}, {3,43}, {1,47}, {3,33}, {1,8}, {2,30}, {2,5}, {2,45} }; // ETB51.41 // Bipartite(17,34) Valencies [32,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46620662575398912000 EdgesBipt[51][41]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {7,47}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {13,51}, {4,34}, {17,19}, {13,29}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {6,19}, {5,23}, {16,20}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {1,31}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {5,38}, {1,37}, {14,50}, {13,18}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {14,36}, {17,46}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {5,40}, {3,46}, {16,31}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {15,31}, {10,35}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {14,21}, {14,44}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,32}, {16,45}, {7,50}, {12,43}, {1,21}, {6,21}, {13,47}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.42 // Bipartite(19,32) Valencies [32,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32008577079459149171820045136328490347397120000000000 EdgesBipt[51][42]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.43 // Bipartite(18,33) Valencies [33,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 55593844401165890666845341552570535866531840000000000 EdgesBipt[51][43]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {6,19}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.44 // Bipartite(17,34) Valencies [34,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 105010594979980015704041200710411012192337920000000000 EdgesBipt[51][44]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {13,51}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {6,19}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.45 // Bipartite(16,35) Valencies [35,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 216198283782311797037731883815552083925401600000000000 EdgesBipt[51][45]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {6,19}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.46 // Bipartite(15,36) Valencies [36,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 486446138510201543334896738584992188832153600000000000 EdgesBipt[51][46]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,34}, {12,25}, {13,27}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {10,51}, {3,22}, {15,51}, {6,19}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.47 // Bipartite(14,37) Valencies [37,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1199900474991830473559411955176314065785978880000000000 EdgesBipt[51][47]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {12,25}, {13,27}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {10,51}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.48 // Bipartite(13,38) Valencies [38,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3256872717834968428232689592621423892847656960000000000 EdgesBipt[51][48]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {12,25}, {13,27}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {11,29}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {10,51}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.49 // Bipartite(12,39) Valencies [39,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9770618153504905284698068777864271678542970880000000000 EdgesBipt[51][49]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {12,25}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {11,29}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {11,21}, {10,51}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {7,35}, {9,13}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {12,23}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB51.50 // Bipartite(11,40) Valencies [40,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 32568727178349684282326895926214238928476569600000000000 EdgesBipt[51][50]:={ {7,48}, {6,38}, {11,40}, {10,37}, {11,49}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {11,14}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {11,51}, {8,42}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {11,42}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {11,21}, {6,36}, {8,17}, {10,16}, {11,36}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {11,16}, {2,51}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {10,19}, {9,22}, {3,44}, {4,47}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {1,45}, {10,50}, {10,15}, {3,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {3,45}, {3,14}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {5,47}, {4,12}, {8,14}, {7,51}, {11,31}, {3,15}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {11,12}, {7,26}, {1,50}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {11,50}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB51.51 // Bipartite(10,41) Valencies [41,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 121392528573848823234127521179525799642503577600000000000 EdgesBipt[51][51]:={ {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {2,51}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {10,15}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {8,14}, {7,51}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB51.52 // Bipartite(9,42) Valencies [42,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 509848620010165057583335588954008358498515025920000000000 EdgesBipt[51][52]:={ {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {7,51}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB51.53 // Bipartite(8,43) Valencies [43,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2435943406715233052898158925002484379492905123840000000000 EdgesBipt[51][53]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {7,51}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB51.54 // Bipartite(7,44) Valencies [44,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13397688736933781790939874087513664087210978181120000000000 EdgesBipt[51][54]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {7,10}, {7,51}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB51.55 // Bipartite(6,45) Valencies [45,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 86127999023145740084613476276873554846356288307200000000000 EdgesBipt[51][55]:={ {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {6,17}, {5,28}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {6,22}, {4,34}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {6,43}, {5,31}, {2,19}, {6,20}, {4,44}, {2,41}, {5,23}, {5,20}, {2,26}, {2,28}, {2,45}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {1,7}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {1,8}, {4,12}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB51.56 // Bipartite(5,46) Valencies [46,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 660314659177450673982036651456030587155398210355200000000000 EdgesBipt[51][56]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {4,27}, {2,46}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {5,51}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49}, {5,16} }; // ETB51.57 // Bipartite(4,47) Valencies [47,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6206957796268036335431144523686687519260743177338880000000000 EdgesBipt[51][57]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {3,47}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB51.58 // Bipartite(3,48) Valencies [48,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 74483493555216436025173734284240250231128918128066560000000000 EdgesBipt[51][58]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB51.59 // Bipartite(2,49) Valencies [49,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1216563728068535121744504326642590753775105662758420480000000000 EdgesBipt[51][59]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB51.60 // Bipartite(1,50) Valencies [50,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 30414093201713378043612608166064768844377641568960512000000000000 EdgesBipt[51][60]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 51 is 60 // ******************************************************************************************** // Order 52 // ETB52.1 // Bipartite(26,26) Valencies [2,2] // Diameter 26 Girth 52 // Twin-free VT AT // Automorphism group of order 104 EdgesBipt[52][1]:={ {17,41}, {5,42}, {7,50}, {6,37}, {14,31}, {17,34}, {15,52}, {2,52}, {25,35}, {19,42}, {10,32}, {26,39}, {12,40}, {7,33}, {12,43}, {8,29}, {9,47}, {23,47}, {22,28}, {4,30}, {8,46}, {20,46}, {16,27}, {21,29}, {20,37}, {2,31}, {4,45}, {15,30}, {23,36}, {6,38}, {16,49}, {22,50}, {24,43}, {13,35}, {24,32}, {11,36}, {1,27}, {3,49}, {1,48}, {19,33}, {18,45}, {3,34}, {10,51}, {18,38}, {11,39}, {5,41}, {14,44}, {13,48}, {9,28}, {25,40}, {26,44}, {21,51} }; // ETB52.2 // Bipartite(26,26) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 208 EdgesBipt[52][2]:={ {4,35}, {24,39}, {5,32}, {7,39}, {19,45}, {6,39}, {21,39}, {9,30}, {21,47}, {8,36}, {5,35}, {7,38}, {22,30}, {7,33}, {12,31}, {2,37}, {18,42}, {13,34}, {19,40}, {19,27}, {6,50}, {22,35}, {1,44}, {6,40}, {3,50}, {16,48}, {17,52}, {2,28}, {16,41}, {10,45}, {9,51}, {13,46}, {24,34}, {10,47}, {26,51}, {15,32}, {5,49}, {26,42}, {12,30}, {9,38}, {4,37}, {15,34}, {20,33}, {2,52}, {20,35}, {2,41}, {10,36}, {3,40}, {26,38}, {24,38}, {23,48}, {7,29}, {15,49}, {12,51}, {14,50}, {5,43}, {11,46}, {16,29}, {11,28}, {25,28}, {3,27}, {17,33}, {14,44}, {11,37}, {18,27}, {6,29}, {25,41}, {9,33}, {21,46}, {12,44}, {25,48}, {15,42}, {10,28}, {14,31}, {13,32}, {8,43}, {23,31}, {20,30}, {1,42}, {20,52}, {1,51}, {3,44}, {16,50}, {22,43}, {4,32}, {8,49}, {1,27}, {17,41}, {17,29}, {8,45}, {4,52}, {18,45}, {21,40}, {24,46}, {18,49}, {19,47}, {11,47}, {23,43}, {14,48}, {26,34}, {22,31}, {13,37}, {23,36}, {25,36} }; // ETB52.3 // Bipartite(26,26) Valencies [4,4] // Diameter 13 Girth 4 // Has twins VT AT // Automorphism group of order 3489660928 EdgesBipt[52][3]:={ {4,35}, {11,43}, {13,41}, {6,39}, {6,48}, {8,39}, {21,39}, {26,28}, {3,29}, {5,50}, {3,46}, {8,36}, {19,39}, {4,48}, {1,40}, {26,41}, {7,38}, {12,40}, {15,44}, {22,38}, {25,32}, {18,37}, {17,35}, {4,44}, {14,42}, {13,43}, {24,43}, {12,27}, {7,51}, {25,40}, {2,28}, {10,45}, {9,51}, {16,33}, {20,51}, {17,44}, {24,34}, {15,28}, {14,27}, {5,37}, {1,29}, {11,34}, {17,31}, {9,38}, {5,33}, {20,38}, {22,47}, {23,32}, {23,45}, {17,48}, {2,41}, {10,36}, {2,31}, {18,33}, {25,45}, {9,34}, {16,29}, {4,31}, {26,30}, {18,50}, {13,30}, {2,44}, {20,37}, {26,43}, {6,52}, {3,42}, {25,27}, {20,50}, {15,31}, {23,49}, {5,46}, {10,49}, {21,49}, {18,46}, {21,52}, {24,30}, {22,34}, {13,28}, {1,42}, {11,30}, {21,36}, {16,46}, {8,52}, {8,49}, {1,27}, {9,47}, {15,41}, {10,32}, {7,37}, {24,47}, {16,42}, {14,29}, {12,32}, {14,40}, {7,50}, {11,47}, {6,35}, {19,35}, {3,33}, {22,51}, {23,36}, {19,52}, {12,45}, {19,48} }; // ETB52.4 // Bipartite(26,26) Valencies [4,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 425984 EdgesBipt[52][4]:={ {21,48}, {9,52}, {11,44}, {22,32}, {17,47}, {26,28}, {8,51}, {16,30}, {18,39}, {6,51}, {9,45}, {10,48}, {5,34}, {4,49}, {22,52}, {19,40}, {2,33}, {6,32}, {16,40}, {3,30}, {6,40}, {13,43}, {21,44}, {12,27}, {14,35}, {19,38}, {24,45}, {2,28}, {15,28}, {14,27}, {11,45}, {8,44}, {15,34}, {21,51}, {14,30}, {3,40}, {23,41}, {4,33}, {10,41}, {23,48}, {19,51}, {7,47}, {10,31}, {10,37}, {5,29}, {26,31}, {2,42}, {18,34}, {2,34}, {25,50}, {7,52}, {17,33}, {15,33}, {14,49}, {1,35}, {22,50}, {25,41}, {17,49}, {20,37}, {26,43}, {4,38}, {11,36}, {25,27}, {5,46}, {24,44}, {21,29}, {15,42}, {25,42}, {18,46}, {6,38}, {1,49}, {23,37}, {20,47}, {22,45}, {23,31}, {13,28}, {24,35}, {18,29}, {20,52}, {3,39}, {1,27}, {12,42}, {8,48}, {7,46}, {13,36}, {7,37}, {17,38}, {16,43}, {12,41}, {26,36}, {9,32}, {13,31}, {3,43}, {19,32}, {20,46}, {4,47}, {12,50}, {9,50}, {1,30}, {16,39}, {5,39}, {11,35}, {8,29}, {24,36} }; // ETB52.5 // Bipartite(13,39) Valencies [6,2] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 78 EdgesBipt[52][5]:={ {1,26}, {12,38}, {7,47}, {6,41}, {5,36}, {4,39}, {2,46}, {1,14}, {9,23}, {2,37}, {10,43}, {6,39}, {2,32}, {11,25}, {13,34}, {9,31}, {9,16}, {1,45}, {10,32}, {8,52}, {11,27}, {11,44}, {12,40}, {4,16}, {6,40}, {9,46}, {12,43}, {8,29}, {10,33}, {3,29}, {3,20}, {13,18}, {2,21}, {3,44}, {4,33}, {8,37}, {5,47}, {8,48}, {3,28}, {5,38}, {13,42}, {3,17}, {5,19}, {5,28}, {4,27}, {4,21}, {6,48}, {2,15}, {7,49}, {12,14}, {3,31}, {10,52}, {5,30}, {7,35}, {11,36}, {1,17}, {4,22}, {13,15}, {7,51}, {10,19}, {11,34}, {12,22}, {9,50}, {12,35}, {13,24}, {6,25}, {2,51}, {9,49}, {8,18}, {11,50}, {1,41}, {7,42}, {1,23}, {13,30}, {10,20}, {8,45}, {6,24}, {7,26} }; // ETB52.6 // Bipartite(13,39) Valencies [6,2] // Diameter 13 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 339578044416 EdgesBipt[52][6]:={ {12,20}, {4,50}, {4,24}, {3,40}, {13,19}, {4,39}, {9,19}, {1,14}, {9,45}, {7,16}, {12,48}, {2,26}, {4,37}, {2,52}, {13,34}, {7,31}, {12,33}, {1,40}, {4,52}, {2,39}, {5,43}, {3,42}, {11,20}, {3,27}, {11,44}, {5,15}, {10,36}, {8,24}, {6,36}, {3,29}, {11,33}, {9,32}, {13,32}, {1,38}, {8,37}, {8,48}, {3,16}, {10,23}, {7,18}, {10,34}, {11,46}, {10,47}, {5,28}, {6,38}, {5,17}, {9,43}, {2,15}, {3,14}, {12,46}, {5,30}, {8,35}, {8,22}, {6,49}, {1,27}, {13,21}, {2,28}, {12,22}, {6,51}, {8,50}, {12,35}, {6,25}, {5,41}, {9,30}, {13,47}, {1,51}, {10,21}, {2,41}, {4,26}, {7,42}, {11,18}, {13,45}, {11,31}, {1,25}, {6,23}, {7,44}, {9,17}, {10,49}, {7,29} }; // ETB52.7 // Bipartite(26,26) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 312 EdgesBipt[52][7]:={ {15,52}, {2,33}, {6,32}, {18,39}, {4,27}, {21,48}, {18,48}, {16,33}, {12,51}, {17,38}, {25,39}, {26,31}, {14,51}, {21,32}, {18,46}, {9,45}, {8,28}, {20,27}, {4,29}, {1,32}, {8,33}, {1,27}, {14,38}, {25,33}, {22,52}, {3,35}, {21,35}, {9,43}, {24,51}, {15,48}, {19,47}, {14,31}, {7,34}, {11,41}, {12,35}, {10,44}, {2,28}, {13,29}, {2,42}, {23,39}, {11,28}, {16,43}, {18,37}, {23,52}, {20,38}, {5,40}, {10,48}, {9,47}, {5,50}, {25,36}, {5,29}, {4,41}, {26,27}, {12,44}, {14,30}, {7,46}, {8,45}, {17,51}, {22,41}, {26,40}, {23,34}, {10,28}, {23,36}, {21,44}, {23,41}, {9,34}, {10,40}, {17,43}, {3,39}, {3,32}, {23,37}, {15,50}, {19,42}, {13,44}, {14,47}, {11,30}, {12,47}, {17,49}, {26,52}, {15,37}, {24,49}, {20,28}, {26,38}, {13,28}, {19,31}, {3,50}, {25,45}, {22,29}, {22,43}, {21,33}, {13,36}, {24,35}, {5,42}, {1,52}, {6,51}, {7,47}, {16,51}, {19,46}, {12,27}, {8,32}, {5,31}, {6,27}, {12,40}, {1,39}, {16,44}, {25,42}, {17,41}, {7,29}, {22,31}, {9,30}, {13,46}, {20,48}, {16,34}, {25,46}, {6,36}, {3,30}, {11,37}, {2,29}, {6,45}, {8,38}, {4,34}, {8,50}, {14,32}, {19,43}, {10,49}, {1,47}, {4,49}, {10,50}, {20,36}, {6,34}, {15,38}, {16,46}, {3,42}, {9,39}, {17,45}, {11,45}, {20,41}, {13,37}, {21,36}, {1,48}, {18,40}, {19,35}, {15,30}, {22,30}, {7,52}, {5,37}, {26,49}, {24,33}, {2,43}, {11,42}, {18,35}, {7,40}, {4,44}, {24,50}, {24,31}, {2,49} }; // ETB52.8 // Bipartite(26,26) Valencies [6,6] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 5234491392 EdgesBipt[52][8]:={ {6,48}, {8,48}, {2,44}, {13,32}, {21,48}, {18,29}, {3,40}, {17,38}, {18,32}, {4,30}, {16,27}, {25,39}, {16,40}, {18,46}, {21,47}, {14,39}, {16,47}, {15,49}, {15,31}, {1,27}, {23,28}, {7,44}, {1,40}, {9,44}, {12,39}, {15,44}, {25,33}, {10,33}, {21,35}, {24,51}, {25,30}, {19,48}, {2,41}, {2,28}, {5,32}, {21,49}, {16,29}, {11,50}, {18,42}, {4,38}, {3,34}, {11,38}, {26,45}, {2,36}, {10,47}, {19,30}, {9,27}, {24,37}, {5,29}, {4,41}, {12,46}, {8,47}, {11,51}, {14,40}, {17,51}, {7,39}, {7,32}, {24,42}, {10,41}, {23,34}, {10,28}, {20,31}, {22,27}, {6,30}, {6,43}, {23,41}, {22,44}, {13,49}, {22,51}, {17,43}, {12,43}, {26,37}, {15,41}, {8,36}, {14,48}, {6,50}, {11,29}, {20,44}, {13,50}, {17,30}, {5,46}, {8,35}, {20,45}, {23,47}, {3,27}, {9,51}, {10,46}, {26,36}, {4,28}, {4,43}, {18,33}, {3,29}, {15,36}, {13,36}, {5,42}, {1,52}, {7,31}, {12,33}, {17,28}, {9,40}, {20,39}, {12,30}, {1,39}, {26,32}, {17,41}, {22,31}, {1,35}, {24,38}, {16,34}, {25,46}, {25,43}, {8,34}, {5,33}, {11,37}, {4,51}, {20,52}, {23,33}, {23,46}, {10,34}, {19,43}, {2,31}, {14,52}, {16,42}, {12,52}, {25,52}, {8,49}, {18,45}, {15,28}, {3,42}, {9,38}, {24,29}, {7,45}, {22,40}, {14,35}, {13,37}, {19,50}, {5,45}, {21,36}, {1,48}, {21,34}, {6,37}, {3,47}, {19,35}, {13,45}, {9,31}, {7,52}, {26,49}, {26,50}, {6,35}, {11,42}, {19,37}, {20,32}, {14,27}, {24,50}, {22,38}, {2,49} }; // ETB52.9 // Bipartite(26,26) Valencies [6,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 638976 EdgesBipt[52][9]:={ {6,48}, {15,52}, {16,41}, {17,50}, {13,52}, {13,32}, {17,35}, {17,44}, {12,29}, {21,45}, {5,34}, {23,29}, {24,48}, {12,51}, {25,51}, {18,32}, {16,27}, {4,50}, {14,51}, {18,46}, {8,42}, {15,49}, {16,31}, {4,29}, {1,27}, {23,28}, {20,40}, {9,44}, {8,52}, {25,33}, {21,42}, {25,29}, {14,31}, {24,30}, {8,39}, {7,34}, {19,48}, {7,51}, {15,43}, {24,44}, {2,28}, {12,34}, {18,41}, {5,32}, {9,35}, {8,31}, {21,49}, {11,50}, {18,34}, {18,37}, {21,52}, {16,30}, {19,33}, {11,38}, {9,47}, {14,36}, {9,27}, {25,36}, {15,40}, {12,36}, {12,46}, {2,52}, {22,35}, {8,45}, {1,31}, {10,41}, {7,43}, {10,28}, {22,27}, {2,35}, {17,33}, {11,44}, {1,51}, {25,34}, {4,33}, {23,41}, {10,29}, {22,44}, {24,32}, {26,48}, {26,37}, {18,30}, {4,35}, {23,42}, {6,33}, {6,50}, {13,43}, {5,30}, {14,47}, {15,35}, {11,30}, {5,46}, {26,52}, {1,45}, {10,42}, {3,27}, {20,51}, {10,46}, {21,31}, {4,28}, {20,43}, {16,38}, {12,33}, {5,41}, {21,39}, {7,47}, {17,28}, {9,40}, {17,29}, {19,45}, {26,32}, {22,47}, {19,36}, {24,38}, {20,37}, {23,49}, {14,45}, {25,46}, {6,36}, {3,30}, {6,45}, {20,34}, {23,46}, {11,32}, {13,48}, {19,39}, {10,49}, {1,47}, {2,40}, {20,47}, {16,42}, {8,49}, {15,28}, {3,42}, {9,38}, {3,38}, {26,39}, {11,48}, {22,40}, {13,37}, {19,50}, {3,41}, {3,31}, {6,39}, {26,43}, {13,39}, {7,37}, {5,37}, {2,43}, {7,40}, {4,44}, {14,27}, {24,50}, {1,36}, {22,38}, {2,49} }; // ETB52.10 // Bipartite(26,26) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT Non-AT // Automorphism group of order 156 EdgesBipt[52][10]:={ {16,41}, {2,46}, {11,35}, {18,48}, {13,40}, {25,51}, {17,38}, {12,45}, {7,48}, {5,38}, {8,28}, {25,38}, {17,34}, {12,39}, {10,33}, {21,42}, {24,51}, {26,33}, {24,30}, {12,34}, {5,32}, {23,44}, {16,43}, {6,29}, {15,45}, {15,29}, {6,47}, {3,46}, {11,33}, {21,46}, {14,33}, {1,50}, {19,40}, {14,36}, {8,41}, {8,47}, {11,49}, {2,37}, {2,52}, {12,44}, {4,42}, {22,41}, {2,39}, {24,42}, {4,45}, {7,43}, {10,28}, {17,33}, {23,36}, {19,38}, {20,33}, {18,49}, {23,41}, {22,44}, {24,32}, {4,52}, {17,43}, {9,50}, {1,29}, {7,30}, {26,37}, {13,31}, {24,47}, {25,48}, {19,42}, {13,43}, {21,51}, {14,47}, {6,44}, {17,30}, {15,35}, {9,37}, {20,45}, {10,42}, {13,28}, {14,41}, {23,38}, {3,27}, {3,50}, {9,51}, {18,36}, {10,46}, {10,45}, {3,29}, {22,29}, {1,43}, {16,38}, {15,36}, {5,28}, {25,40}, {18,52}, {10,43}, {25,35}, {21,39}, {16,51}, {25,47}, {11,52}, {8,32}, {1,42}, {5,31}, {6,27}, {1,49}, {20,39}, {12,30}, {14,34}, {22,28}, {11,46}, {26,32}, {9,30}, {13,27}, {20,48}, {19,49}, {20,37}, {23,49}, {4,40}, {11,27}, {8,50}, {2,47}, {2,40}, {18,51}, {6,34}, {22,48}, {18,45}, {15,28}, {16,39}, {24,29}, {9,52}, {26,44}, {7,27}, {20,41}, {8,46}, {22,40}, {14,35}, {21,36}, {23,31}, {1,48}, {3,31}, {21,34}, {12,31}, {6,37}, {7,35}, {13,39}, {16,50}, {19,34}, {15,30}, {7,37}, {5,35}, {9,31}, {26,49}, {26,50}, {17,32}, {3,36}, {4,44}, {5,52}, {4,32}, {19,27} }; // ETB52.11 // Bipartite(24,28) Valencies [7,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 168 EdgesBipt[52][10]:={ {8,48}, {3,33}, {13,52}, {2,33}, {17,35}, {6,32}, {11,36}, {4,26}, {24,48}, {21,40}, {23,27}, {17,38}, {15,46}, {10,37}, {14,39}, {19,44}, {15,49}, {22,46}, {3,45}, {7,41}, {22,52}, {21,42}, {19,47}, {7,34}, {11,41}, {16,25}, {15,43}, {5,32}, {20,30}, {17,46}, {8,27}, {16,29}, {18,34}, {23,39}, {18,42}, {18,37}, {2,45}, {23,52}, {15,29}, {2,25}, {5,40}, {10,48}, {6,40}, {20,50}, {21,46}, {14,33}, {1,50}, {9,47}, {9,26}, {12,36}, {8,41}, {2,38}, {12,49}, {2,52}, {12,44}, {22,35}, {17,51}, {7,39}, {22,41}, {9,41}, {7,32}, {7,49}, {7,25}, {23,36}, {19,38}, {3,44}, {4,47}, {6,43}, {18,49}, {4,33}, {10,31}, {9,34}, {3,51}, {24,32}, {16,37}, {9,50}, {1,29}, {3,39}, {13,31}, {23,42}, {14,48}, {11,29}, {20,44}, {13,44}, {17,30}, {21,25}, {6,46}, {12,25}, {14,42}, {20,28}, {8,35}, {20,45}, {23,47}, {3,27}, {18,47}, {21,31}, {4,43}, {1,43}, {21,33}, {15,36}, {5,28}, {18,31}, {5,42}, {24,41}, {10,43}, {16,51}, {9,40}, {11,52}, {22,39}, {6,27}, {8,40}, {12,40}, {12,30}, {14,49}, {1,39}, {5,36}, {1,25}, {22,28}, {16,44}, {5,51}, {22,31}, {9,30}, {21,50}, {1,35}, {24,38}, {19,49}, {16,34}, {20,35}, {19,32}, {20,37}, {4,37}, {11,26}, {13,26}, {11,37}, {4,51}, {18,28}, {10,27}, {10,36}, {13,48}, {1,47}, {10,50}, {6,34}, {15,38}, {16,46}, {15,28}, {13,38}, {6,52}, {12,48}, {11,45}, {7,45}, {5,45}, {3,31}, {8,51}, {17,26}, {13,34}, {19,35}, {17,42}, {2,30}, {2,43}, {24,33}, {8,29}, {4,32}, {19,27}, {24,50}, {24,28}, {14,29}, {14,26}, {23,30} }; // ETB52.12 // Bipartite(24,28) Valencies [7,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[52][11]:={ {3,33}, {6,32}, {21,45}, {5,34}, {18,29}, {21,40}, {12,45}, {18,46}, {21,32}, {18,38}, {15,31}, {20,27}, {18,50}, {4,29}, {24,27}, {3,43}, {20,40}, {12,38}, {1,40}, {17,34}, {14,38}, {9,44}, {8,52}, {12,42}, {15,48}, {19,48}, {7,51}, {16,25}, {15,43}, {2,28}, {18,41}, {1,30}, {8,44}, {17,46}, {21,49}, {12,50}, {2,42}, {18,34}, {11,28}, {2,45}, {23,52}, {16,30}, {19,33}, {6,47}, {10,48}, {6,40}, {2,34}, {9,48}, {17,37}, {19,30}, {1,44}, {24,43}, {2,37}, {17,51}, {22,41}, {10,41}, {23,34}, {10,28}, {20,31}, {11,44}, {21,44}, {15,27}, {21,26}, {24,32}, {4,52}, {17,43}, {7,30}, {13,31}, {4,35}, {23,37}, {23,42}, {24,47}, {9,25}, {8,36}, {6,33}, {2,32}, {6,50}, {20,44}, {19,41}, {15,35}, {17,27}, {23,25}, {5,48}, {24,49}, {3,50}, {3,27}, {20,51}, {4,43}, {1,33}, {3,29}, {4,46}, {5,28}, {13,36}, {24,35}, {16,49}, {8,26}, {12,26}, {1,52}, {12,33}, {24,40}, {5,41}, {7,47}, {11,52}, {16,45}, {5,31}, {12,30}, {14,49}, {10,32}, {17,29}, {1,25}, {11,46}, {5,51}, {6,41}, {6,28}, {22,31}, {10,39}, {13,42}, {22,50}, {13,26}, {14,45}, {22,26}, {10,35}, {16,35}, {18,28}, {8,38}, {23,46}, {13,51}, {15,51}, {11,32}, {19,39}, {10,49}, {1,47}, {11,40}, {20,47}, {9,36}, {20,36}, {16,42}, {22,48}, {14,43}, {19,25}, {16,39}, {9,39}, {4,25}, {3,38}, {9,52}, {7,27}, {8,46}, {14,35}, {13,37}, {19,50}, {21,36}, {15,39}, {7,33}, {11,34}, {3,47}, {13,45}, {7,37}, {22,36}, {9,31}, {5,37}, {4,39}, {7,42}, {8,29}, {14,29}, {2,49}, {22,38}, {14,26}, {23,30} }; // ETB52.13 // Bipartite(24,28) Valencies [7,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 67722117120 EdgesBipt[52][12]:={ {6,48}, {2,44}, {10,25}, {13,52}, {6,32}, {17,35}, {18,39}, {12,29}, {2,46}, {21,45}, {5,34}, {16,26}, {23,29}, {12,51}, {17,47}, {4,30}, {8,30}, {18,46}, {2,51}, {7,38}, {8,42}, {19,44}, {15,49}, {15,31}, {4,29}, {1,40}, {12,41}, {9,49}, {3,37}, {19,47}, {24,30}, {22,32}, {12,35}, {14,50}, {7,36}, {15,43}, {10,44}, {3,52}, {2,28}, {23,43}, {17,40}, {14,28}, {20,30}, {9,35}, {12,37}, {21,52}, {16,30}, {15,45}, {15,29}, {2,25}, {6,40}, {2,36}, {9,47}, {19,26}, {4,41}, {23,45}, {14,40}, {2,39}, {24,42}, {7,49}, {7,43}, {11,31}, {10,28}, {22,27}, {17,33}, {11,44}, {23,36}, {21,27}, {3,44}, {6,43}, {9,42}, {24,26}, {3,32}, {19,52}, {4,35}, {9,25}, {18,44}, {14,48}, {13,33}, {6,50}, {4,48}, {17,49}, {19,31}, {24,34}, {23,38}, {20,51}, {18,36}, {10,46}, {1,33}, {3,26}, {16,38}, {22,43}, {21,33}, {15,36}, {8,26}, {10,51}, {7,31}, {5,41}, {21,39}, {20,29}, {9,40}, {11,52}, {1,42}, {6,27}, {17,25}, {1,49}, {12,30}, {18,25}, {1,25}, {22,28}, {7,29}, {6,28}, {13,27}, {10,39}, {1,35}, {20,48}, {24,38}, {16,34}, {20,35}, {5,39}, {19,32}, {22,50}, {20,37}, {23,49}, {4,37}, {11,26}, {8,34}, {5,33}, {11,37}, {4,51}, {18,28}, {8,38}, {10,36}, {8,50}, {11,32}, {14,32}, {13,41}, {1,47}, {18,51}, {9,33}, {16,42}, {11,47}, {22,48}, {14,43}, {15,38}, {5,27}, {16,46}, {12,48}, {20,41}, {7,45}, {8,46}, {22,40}, {5,45}, {23,31}, {3,31}, {21,34}, {24,46}, {13,34}, {3,47}, {17,42}, {13,39}, {16,50}, {13,45}, {21,41}, {19,37}, {14,27}, {5,52}, {24,50} }; // ETB52.14 // Bipartite(20,32) Valencies [8,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 320 EdgesBipt[52][13]:={ {8,48}, {15,52}, {10,25}, {13,32}, {18,39}, {4,27}, {2,46}, {11,35}, {5,34}, {4,24}, {18,29}, {17,47}, {4,30}, {16,27}, {14,39}, {12,22}, {8,42}, {19,44}, {4,29}, {3,43}, {1,40}, {7,22}, {12,41}, {2,27}, {3,35}, {5,47}, {15,48}, {14,31}, {2,26}, {1,21}, {7,36}, {18,21}, {3,52}, {2,28}, {14,28}, {8,44}, {12,37}, {10,22}, {16,43}, {16,30}, {19,28}, {15,29}, {6,21}, {2,25}, {20,38}, {10,48}, {1,38}, {1,50}, {3,49}, {10,47}, {9,32}, {9,27}, {15,40}, {12,36}, {12,49}, {10,52}, {7,46}, {14,40}, {9,41}, {5,25}, {17,23}, {7,25}, {11,31}, {11,44}, {1,51}, {3,44}, {4,33}, {4,21}, {10,31}, {6,49}, {3,51}, {9,42}, {10,40}, {9,50}, {17,43}, {1,29}, {18,30}, {2,32}, {6,33}, {16,32}, {6,50}, {13,50}, {11,30}, {5,24}, {17,49}, {5,46}, {13,23}, {1,45}, {18,24}, {8,35}, {14,37}, {4,46}, {15,36}, {18,31}, {17,52}, {12,33}, {4,36}, {6,51}, {20,29}, {12,23}, {14,22}, {5,31}, {11,24}, {11,39}, {20,23}, {19,51}, {16,44}, {19,45}, {17,41}, {20,46}, {6,41}, {9,30}, {19,49}, {13,42}, {14,25}, {7,28}, {13,26}, {14,45}, {10,35}, {8,34}, {20,26}, {6,45}, {8,38}, {20,34}, {3,48}, {8,50}, {15,22}, {19,39}, {19,43}, {13,41}, {2,47}, {20,24}, {9,33}, {12,52}, {16,42}, {20,36}, {15,38}, {5,26}, {18,45}, {16,39}, {13,38}, {7,27}, {15,23}, {1,48}, {18,40}, {8,51}, {17,26}, {7,33}, {6,37}, {13,34}, {3,47}, {11,34}, {7,37}, {5,35}, {2,43}, {17,32}, {11,42}, {9,21}, {16,28}, {19,37} }; // ETB52.15 // Bipartite(20,32) Valencies [8,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 160 EdgesBipt[52][14]:={ {15,52}, {17,50}, {10,25}, {2,24}, {9,28}, {6,32}, {11,36}, {11,35}, {5,34}, {13,40}, {4,26}, {15,46}, {17,47}, {4,50}, {7,48}, {9,45}, {16,47}, {12,32}, {8,42}, {20,27}, {1,27}, {3,43}, {19,24}, {20,40}, {10,26}, {14,38}, {10,33}, {12,42}, {15,48}, {2,26}, {11,41}, {1,21}, {7,51}, {15,43}, {17,21}, {12,34}, {4,23}, {12,37}, {12,50}, {11,28}, {18,37}, {10,30}, {6,29}, {2,45}, {3,34}, {2,25}, {20,50}, {14,33}, {9,48}, {5,22}, {14,21}, {15,40}, {4,41}, {8,41}, {2,38}, {11,49}, {12,44}, {19,22}, {5,25}, {17,39}, {4,45}, {7,25}, {11,31}, {1,51}, {6,30}, {13,22}, {3,51}, {9,42}, {4,52}, {17,43}, {1,29}, {7,30}, {19,52}, {15,50}, {18,44}, {1,23}, {6,24}, {20,44}, {18,24}, {13,28}, {18,36}, {1,33}, {18,33}, {3,29}, {6,23}, {13,36}, {16,49}, {8,26}, {18,31}, {13,30}, {10,43}, {5,41}, {17,28}, {20,29}, {16,51}, {19,46}, {11,52}, {16,45}, {5,31}, {6,26}, {12,30}, {14,49}, {1,39}, {19,51}, {1,46}, {16,44}, {18,23}, {6,28}, {13,27}, {10,39}, {13,46}, {13,42}, {19,49}, {14,25}, {20,35}, {19,32}, {4,37}, {16,36}, {8,34}, {3,24}, {8,38}, {2,22}, {14,44}, {10,36}, {3,48}, {10,34}, {15,33}, {14,32}, {2,47}, {2,40}, {16,42}, {20,47}, {5,27}, {15,38}, {8,49}, {16,39}, {12,48}, {9,38}, {7,27}, {20,41}, {7,45}, {14,35}, {8,46}, {3,31}, {18,40}, {3,47}, {7,35}, {17,22}, {11,43}, {5,21}, {9,31}, {7,52}, {5,37}, {6,35}, {17,32}, {9,21}, {4,39}, {9,23}, {19,37}, {8,29} }; // ETB52.16 // Bipartite(20,32) Valencies [8,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[52][15]:={ {3,33}, {10,25}, {13,52}, {13,32}, {4,27}, {2,46}, {12,51}, {3,40}, {12,45}, {18,32}, {4,30}, {11,25}, {16,27}, {16,40}, {14,51}, {16,47}, {12,32}, {15,49}, {15,31}, {18,50}, {8,33}, {3,25}, {7,44}, {14,38}, {9,44}, {8,52}, {12,41}, {9,49}, {13,35}, {2,26}, {1,21}, {7,51}, {14,50}, {5,32}, {17,40}, {20,30}, {17,46}, {4,23}, {18,34}, {18,42}, {15,25}, {18,37}, {6,29}, {19,33}, {6,21}, {20,38}, {1,38}, {9,48}, {5,22}, {3,49}, {9,29}, {19,40}, {10,47}, {14,21}, {14,36}, {16,24}, {9,26}, {9,27}, {12,36}, {8,41}, {8,47}, {7,39}, {10,41}, {4,45}, {7,49}, {10,28}, {20,31}, {2,35}, {11,44}, {6,30}, {4,47}, {6,43}, {13,22}, {10,21}, {7,30}, {13,31}, {8,36}, {15,50}, {18,43}, {11,23}, {13,43}, {11,29}, {15,35}, {5,46}, {15,37}, {8,22}, {17,48}, {18,26}, {18,27}, {1,28}, {4,28}, {1,33}, {16,48}, {1,43}, {16,38}, {3,26}, {15,36}, {5,28}, {17,31}, {5,42}, {9,22}, {17,28}, {12,27}, {11,52}, {17,25}, {11,39}, {5,44}, {1,49}, {6,26}, {14,34}, {8,23}, {10,32}, {17,29}, {19,51}, {19,45}, {5,51}, {20,46}, {6,41}, {10,39}, {1,37}, {16,34}, {20,37}, {4,37}, {5,33}, {3,24}, {20,52}, {6,45}, {8,38}, {2,22}, {13,48}, {19,43}, {2,47}, {20,42}, {20,24}, {2,40}, {10,50}, {9,36}, {3,42}, {16,39}, {6,52}, {17,45}, {12,24}, {15,23}, {3,41}, {1,48}, {7,24}, {14,46}, {12,31}, {11,34}, {19,35}, {7,35}, {13,39}, {2,30}, {19,34}, {19,23}, {11,42}, {4,44}, {7,21}, {14,29}, {2,50} }; // ETB52.17 // Bipartite(20,32) Valencies [8,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10485760 EdgesBipt[52][16]:={ {17,50}, {2,24}, {13,52}, {9,28}, {17,44}, {4,27}, {5,34}, {16,33}, {16,26}, {18,29}, {3,40}, {10,37}, {7,48}, {2,51}, {16,47}, {8,42}, {19,44}, {18,38}, {16,31}, {15,49}, {15,31}, {20,27}, {7,41}, {17,34}, {14,38}, {9,44}, {8,52}, {2,27}, {14,31}, {15,47}, {1,21}, {19,48}, {7,51}, {3,52}, {12,34}, {14,28}, {4,23}, {13,29}, {12,50}, {10,22}, {10,30}, {15,45}, {19,28}, {15,29}, {6,47}, {3,34}, {3,46}, {6,31}, {9,48}, {10,38}, {14,21}, {9,32}, {19,26}, {5,50}, {4,41}, {12,49}, {19,22}, {5,25}, {17,39}, {7,32}, {17,23}, {1,31}, {16,52}, {7,25}, {2,35}, {1,51}, {19,38}, {20,33}, {4,21}, {10,29}, {9,34}, {10,21}, {2,48}, {12,43}, {9,50}, {11,21}, {8,36}, {2,32}, {7,26}, {19,42}, {14,47}, {6,44}, {15,35}, {11,30}, {13,23}, {5,49}, {8,22}, {18,24}, {20,45}, {3,50}, {14,37}, {10,46}, {4,43}, {10,45}, {20,43}, {6,23}, {13,36}, {16,49}, {8,26}, {5,42}, {12,33}, {13,30}, {5,41}, {17,28}, {20,29}, {12,27}, {14,22}, {17,25}, {8,40}, {20,23}, {12,40}, {20,39}, {20,49}, {1,25}, {11,46}, {17,41}, {6,28}, {9,30}, {13,46}, {1,35}, {1,37}, {19,32}, {4,37}, {16,36}, {6,36}, {3,30}, {5,33}, {11,37}, {3,24}, {11,27}, {8,38}, {14,44}, {15,51}, {18,22}, {11,32}, {15,33}, {8,24}, {1,47}, {2,40}, {18,51}, {16,42}, {5,26}, {18,45}, {6,52}, {4,25}, {11,48}, {12,24}, {1,41}, {18,40}, {9,46}, {6,39}, {7,35}, {13,39}, {11,43}, {13,45}, {2,43}, {3,36}, {4,39}, {18,35}, {7,42} }; // ETB52.18 // Bipartite(20,32) Valencies [8,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 377487360 EdgesBipt[52][17]:={ {8,48}, {13,32}, {2,33}, {17,35}, {4,27}, {13,21}, {15,24}, {3,40}, {15,46}, {17,47}, {4,50}, {8,43}, {9,45}, {2,51}, {5,38}, {16,47}, {16,31}, {18,38}, {19,24}, {14,38}, {12,41}, {10,33}, {1,21}, {7,51}, {14,50}, {7,36}, {3,52}, {13,47}, {12,34}, {20,30}, {8,27}, {12,50}, {16,29}, {6,22}, {11,28}, {10,30}, {16,30}, {11,33}, {2,34}, {5,22}, {9,29}, {19,40}, {19,26}, {15,40}, {12,36}, {11,49}, {10,52}, {14,30}, {8,45}, {17,51}, {17,39}, {17,23}, {2,35}, {11,44}, {3,44}, {18,49}, {5,23}, {4,21}, {9,34}, {2,48}, {17,43}, {9,50}, {1,29}, {13,31}, {3,32}, {7,26}, {2,32}, {19,42}, {11,23}, {6,44}, {19,41}, {15,35}, {12,47}, {17,27}, {12,25}, {15,37}, {14,42}, {1,45}, {8,22}, {18,24}, {18,47}, {10,46}, {4,28}, {1,33}, {4,43}, {18,33}, {17,31}, {18,31}, {10,43}, {6,51}, {9,40}, {16,45}, {8,32}, {14,22}, {11,39}, {1,49}, {20,23}, {20,39}, {14,34}, {20,25}, {5,36}, {1,25}, {16,44}, {20,46}, {7,29}, {6,41}, {6,28}, {20,48}, {13,42}, {1,37}, {15,21}, {5,39}, {4,37}, {11,26}, {13,26}, {3,24}, {10,27}, {8,38}, {4,34}, {10,36}, {3,48}, {15,51}, {18,22}, {13,48}, {19,43}, {6,25}, {10,49}, {6,38}, {12,52}, {19,25}, {16,46}, {9,39}, {3,28}, {20,41}, {7,45}, {1,41}, {13,37}, {9,24}, {18,40}, {14,46}, {12,31}, {7,35}, {5,21}, {15,30}, {7,52}, {5,37}, {6,35}, {11,42}, {3,36}, {16,28}, {7,42}, {9,23}, {4,44}, {20,32}, {8,29}, {5,52}, {19,27}, {2,50}, {2,49}, {14,26} }; // ETB52.19 // Bipartite(26,26) Valencies [8,8] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 6979321856 EdgesBipt[52][18]:={ {2,44}, {9,28}, {17,44}, {18,48}, {23,29}, {21,40}, {17,47}, {18,32}, {4,30}, {18,46}, {14,39}, {26,47}, {9,45}, {7,38}, {15,31}, {21,37}, {1,27}, {1,40}, {17,34}, {4,31}, {8,52}, {15,44}, {3,35}, {25,50}, {8,39}, {7,34}, {22,32}, {7,51}, {12,35}, {24,44}, {2,41}, {13,47}, {2,28}, {23,43}, {5,32}, {9,35}, {8,44}, {8,31}, {8,27}, {12,37}, {12,50}, {16,29}, {23,39}, {21,52}, {10,30}, {2,45}, {23,52}, {15,45}, {19,28}, {5,40}, {20,38}, {22,45}, {11,33}, {14,33}, {9,48}, {26,28}, {3,49}, {9,32}, {15,32}, {19,30}, {25,36}, {12,36}, {12,49}, {2,37}, {10,52}, {7,46}, {14,40}, {22,35}, {22,41}, {9,41}, {17,39}, {11,31}, {11,44}, {23,36}, {21,27}, {21,44}, {20,33}, {6,30}, {4,47}, {6,43}, {10,29}, {6,49}, {3,51}, {24,32}, {4,52}, {22,51}, {17,43}, {1,29}, {23,42}, {24,47}, {15,41}, {2,32}, {15,50}, {25,48}, {6,50}, {13,43}, {24,45}, {17,30}, {19,41}, {5,46}, {15,37}, {14,42}, {5,48}, {26,38}, {13,28}, {10,42}, {18,27}, {24,34}, {9,51}, {20,51}, {4,43}, {1,33}, {21,31}, {26,34}, {18,33}, {3,29}, {16,48}, {16,38}, {8,37}, {16,49}, {17,31}, {17,52}, {25,37}, {1,52}, {25,40}, {13,30}, {10,43}, {25,35}, {21,39}, {7,47}, {20,29}, {16,51}, {12,27}, {1,42}, {8,40}, {12,40}, {1,39}, {22,28}, {1,46}, {11,46}, {25,49}, {26,41}, {20,46}, {7,29}, {19,36}, {6,41}, {6,28}, {10,39}, {21,50}, {19,49}, {23,49}, {16,36}, {6,36}, {5,33}, {16,35}, {20,34}, {4,34}, {10,36}, {3,48}, {8,50}, {13,51}, {11,32}, {19,43}, {13,41}, {10,49}, {20,42}, {2,31}, {14,52}, {26,51}, {16,42}, {20,47}, {11,47}, {22,48}, {5,27}, {18,45}, {15,28}, {3,42}, {13,38}, {12,48}, {9,38}, {3,38}, {11,45}, {25,27}, {19,50}, {5,45}, {18,40}, {24,46}, {14,46}, {7,33}, {6,37}, {26,43}, {13,34}, {11,34}, {5,35}, {24,33}, {3,36}, {4,39}, {18,35}, {7,42}, {4,44}, {19,37}, {14,27}, {24,31}, {14,29}, {2,50}, {22,38}, {23,30}, {26,30} }; // ETB52.20 // Bipartite(26,26) Valencies [8,8] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 753766760448 EdgesBipt[52][19]:={ {25,31}, {17,35}, {17,36}, {11,36}, {4,27}, {21,45}, {13,40}, {23,29}, {25,39}, {18,46}, {21,32}, {22,37}, {21,47}, {26,47}, {5,38}, {2,51}, {8,28}, {18,38}, {20,27}, {22,46}, {3,45}, {20,40}, {7,44}, {12,39}, {9,49}, {25,33}, {10,33}, {9,43}, {3,37}, {15,48}, {24,51}, {14,31}, {15,47}, {14,50}, {15,43}, {23,48}, {24,44}, {3,52}, {13,47}, {24,36}, {12,34}, {18,41}, {17,40}, {14,28}, {20,30}, {13,29}, {21,49}, {6,29}, {19,28}, {23,32}, {5,40}, {11,38}, {10,48}, {2,34}, {1,50}, {19,30}, {1,44}, {26,27}, {8,41}, {2,38}, {8,47}, {12,46}, {11,49}, {23,45}, {12,44}, {26,29}, {19,29}, {11,51}, {8,45}, {17,39}, {7,32}, {24,42}, {26,40}, {1,31}, {16,52}, {7,43}, {20,31}, {11,31}, {2,35}, {11,44}, {25,34}, {6,30}, {6,43}, {10,29}, {3,51}, {2,48}, {4,52}, {16,37}, {9,50}, {7,30}, {3,39}, {26,37}, {3,32}, {19,52}, {4,35}, {23,42}, {23,35}, {8,36}, {14,48}, {19,42}, {16,32}, {11,29}, {20,44}, {13,50}, {19,41}, {15,35}, {9,37}, {12,47}, {17,27}, {17,49}, {4,48}, {5,46}, {15,34}, {17,48}, {24,49}, {10,42}, {20,45}, {18,27}, {1,28}, {14,41}, {3,50}, {14,37}, {10,46}, {10,45}, {20,43}, {26,34}, {18,33}, {16,38}, {22,43}, {5,28}, {17,52}, {7,31}, {12,33}, {26,42}, {5,41}, {4,36}, {16,51}, {25,47}, {16,45}, {8,32}, {22,33}, {10,32}, {5,51}, {6,41}, {6,28}, {9,30}, {13,27}, {1,35}, {24,38}, {13,42}, {1,37}, {22,50}, {6,42}, {25,46}, {4,40}, {10,35}, {8,34}, {5,33}, {18,28}, {22,49}, {23,33}, {14,44}, {23,46}, {15,51}, {19,39}, {19,43}, {2,47}, {4,49}, {18,51}, {9,33}, {9,36}, {12,52}, {25,52}, {5,27}, {15,38}, {8,49}, {16,39}, {6,52}, {3,38}, {24,29}, {7,27}, {7,45}, {14,35}, {1,41}, {13,37}, {21,36}, {1,48}, {21,34}, {18,40}, {9,46}, {6,39}, {12,31}, {13,34}, {16,50}, {2,30}, {15,30}, {22,30}, {22,36}, {21,41}, {2,43}, {21,28}, {26,50}, {11,42}, {4,39}, {7,40}, {20,32}, {25,44}, {24,31} }; // ETB52.21 // Bipartite(13,39) Valencies [9,3] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 509367066624 EdgesBipt[52][20]:={ {13,14}, {13,25}, {6,39}, {9,40}, {10,21}, {12,48}, {6,18}, {3,29}, {8,36}, {5,35}, {9,45}, {1,40}, {7,38}, {12,17}, {12,22}, {5,41}, {7,31}, {9,19}, {13,27}, {9,21}, {3,50}, {10,52}, {8,42}, {7,23}, {8,34}, {7,51}, {13,38}, {2,28}, {11,52}, {3,31}, {13,46}, {2,15}, {10,47}, {13,20}, {11,45}, {1,29}, {3,18}, {12,30}, {13,51}, {5,33}, {10,34}, {9,27}, {2,41}, {2,23}, {13,33}, {6,46}, {1,22}, {6,33}, {1,16}, {8,47}, {2,36}, {8,21}, {2,17}, {10,41}, {9,34}, {10,39}, {10,15}, {7,25}, {4,43}, {5,15}, {4,45}, {11,39}, {4,30}, {6,26}, {7,49}, {4,17}, {5,28}, {12,35}, {4,25}, {1,35}, {11,26}, {11,37}, {13,40}, {12,24}, {4,38}, {6,52}, {6,31}, {3,42}, {5,22}, {11,50}, {4,51}, {2,43}, {5,46}, {12,43}, {10,28}, {11,19}, {7,18}, {7,44}, {5,20}, {8,16}, {3,24}, {2,49}, {8,23}, {1,42}, {5,48}, {6,20}, {1,14}, {3,44}, {4,32}, {8,49}, {1,27}, {9,47}, {11,32}, {3,16}, {9,14}, {3,37}, {9,32}, {10,26}, {6,44}, {12,50}, {7,36}, {11,24}, {12,37}, {2,30}, {1,48}, {4,19}, {8,29} }; // ETB52.22 // Bipartite(16,36) Valencies [9,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[52][21]:={ {6,48}, {8,48}, {16,41}, {13,52}, {4,27}, {2,46}, {5,34}, {13,40}, {14,19}, {15,24}, {12,51}, {3,40}, {15,46}, {4,30}, {16,40}, {8,43}, {9,45}, {2,51}, {5,38}, {1,32}, {3,43}, {3,25}, {10,26}, {14,38}, {4,19}, {2,27}, {12,42}, {3,35}, {11,41}, {16,18}, {16,25}, {10,44}, {12,34}, {8,31}, {10,30}, {6,29}, {3,17}, {14,23}, {11,33}, {14,33}, {1,17}, {9,48}, {1,50}, {9,47}, {4,22}, {12,17}, {15,32}, {12,20}, {1,44}, {5,43}, {11,51}, {7,39}, {10,41}, {16,52}, {7,49}, {10,28}, {11,44}, {1,22}, {1,51}, {4,47}, {10,31}, {3,20}, {10,21}, {9,42}, {2,20}, {6,18}, {1,29}, {7,50}, {11,21}, {4,35}, {13,33}, {2,32}, {7,26}, {5,18}, {16,32}, {6,24}, {12,28}, {5,49}, {13,28}, {9,20}, {14,37}, {3,29}, {4,46}, {8,37}, {15,36}, {16,49}, {12,26}, {7,31}, {12,33}, {16,45}, {8,21}, {3,19}, {12,23}, {14,22}, {13,24}, {14,49}, {1,39}, {1,25}, {9,30}, {13,46}, {14,25}, {6,42}, {14,45}, {15,18}, {16,36}, {13,19}, {3,30}, {10,17}, {8,38}, {10,36}, {15,22}, {8,50}, {8,24}, {13,41}, {2,47}, {2,40}, {9,36}, {6,34}, {11,47}, {5,27}, {15,38}, {5,26}, {15,28}, {6,52}, {11,45}, {11,48}, {7,27}, {15,23}, {13,37}, {6,39}, {11,34}, {5,21}, {7,37}, {5,35}, {9,31}, {7,52}, {2,43}, {6,35}, {4,39}, {7,42}, {9,23}, {4,44}, {8,29}, {2,50} }; // ETB52.23 // Bipartite(16,36) Valencies [9,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[52][22]:={ {1,20}, {2,33}, {16,33}, {3,22}, {12,51}, {12,45}, {4,30}, {8,30}, {14,39}, {8,43}, {5,38}, {7,38}, {3,45}, {3,43}, {10,23}, {7,44}, {1,40}, {10,26}, {4,31}, {15,44}, {1,19}, {12,42}, {2,27}, {5,47}, {3,37}, {16,18}, {16,25}, {14,50}, {3,52}, {2,41}, {2,28}, {1,30}, {5,32}, {14,28}, {8,44}, {15,29}, {14,23}, {5,40}, {6,40}, {14,33}, {1,17}, {9,48}, {9,47}, {4,22}, {3,49}, {14,36}, {9,32}, {12,17}, {16,24}, {12,36}, {8,47}, {11,49}, {7,32}, {4,45}, {7,43}, {2,35}, {4,33}, {10,29}, {10,31}, {9,34}, {15,19}, {15,42}, {2,20}, {6,18}, {7,50}, {11,21}, {4,35}, {7,26}, {15,50}, {6,50}, {11,29}, {5,30}, {6,46}, {5,24}, {12,47}, {5,46}, {13,23}, {15,34}, {13,25}, {8,35}, {9,20}, {14,41}, {3,27}, {10,46}, {4,43}, {16,48}, {10,51}, {1,52}, {16,22}, {6,51}, {11,52}, {8,21}, {3,19}, {14,18}, {13,24}, {6,27}, {6,26}, {1,25}, {16,44}, {1,37}, {5,39}, {11,26}, {13,19}, {16,36}, {10,36}, {15,22}, {11,32}, {13,48}, {9,17}, {8,24}, {13,41}, {10,49}, {2,40}, {2,31}, {16,42}, {15,38}, {8,18}, {15,28}, {13,38}, {12,48}, {4,25}, {9,52}, {11,45}, {3,28}, {7,27}, {1,41}, {9,46}, {8,51}, {10,20}, {6,39}, {12,31}, {13,34}, {11,34}, {13,39}, {7,37}, {5,37}, {4,17}, {6,35}, {11,42}, {9,23}, {7,21}, {12,21}, {14,29}, {2,49} }; // ETB52.24 // Bipartite(16,36) Valencies [9,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26748301344768 EdgesBipt[52][23]:={ {7,43}, {7,19}, {11,43}, {13,41}, {14,21}, {16,34}, {9,40}, {7,39}, {10,21}, {9,52}, {13,29}, {14,25}, {15,23}, {4,42}, {15,43}, {14,34}, {5,50}, {16,30}, {10,27}, {1,40}, {2,20}, {4,40}, {13,24}, {12,40}, {13,48}, {5,24}, {16,18}, {5,41}, {2,33}, {7,31}, {6,25}, {8,46}, {7,27}, {10,44}, {12,18}, {4,44}, {8,42}, {7,23}, {8,34}, {7,51}, {13,38}, {6,45}, {1,52}, {3,31}, {10,45}, {6,34}, {14,46}, {5,26}, {9,17}, {6,22}, {3,19}, {1,29}, {3,48}, {8,22}, {11,49}, {12,30}, {14,33}, {15,39}, {4,20}, {6,49}, {1,17}, {13,26}, {6,46}, {2,32}, {6,33}, {6,21}, {8,18}, {4,28}, {10,39}, {7,47}, {16,26}, {9,23}, {14,45}, {8,26}, {15,35}, {6,37}, {5,29}, {4,30}, {10,33}, {12,28}, {15,19}, {14,49}, {1,35}, {11,37}, {2,44}, {7,35}, {2,27}, {11,36}, {5,38}, {12,44}, {15,31}, {1,23}, {2,21}, {14,22}, {9,35}, {11,19}, {8,38}, {2,39}, {14,37}, {9,28}, {13,50}, {11,31}, {5,36}, {3,24}, {5,17}, {11,25}, {15,51}, {2,51}, {11,48}, {8,50}, {16,22}, {5,48}, {3,49}, {1,41}, {16,46}, {4,32}, {16,50}, {10,51}, {12,42}, {9,47}, {15,27}, {4,18}, {9,29}, {3,25}, {10,32}, {13,36}, {4,52}, {13,17}, {16,42}, {15,47}, {12,32}, {1,28}, {3,36}, {9,41}, {10,20}, {3,37}, {12,52}, {16,38}, {8,30}, {3,43}, {1,47}, {11,24}, {12,20}, {2,45} }; // ETB52.25 // Bipartite(16,36) Valencies [9,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1253826625536 EdgesBipt[52][24]:={ {10,25}, {9,28}, {13,21}, {11,35}, {5,34}, {15,24}, {3,22}, {12,45}, {10,37}, {4,30}, {14,51}, {7,48}, {6,17}, {14,39}, {2,23}, {12,22}, {2,51}, {5,38}, {12,32}, {16,47}, {7,38}, {8,28}, {15,31}, {9,44}, {4,19}, {4,31}, {2,19}, {8,52}, {2,27}, {3,35}, {15,48}, {8,39}, {1,21}, {16,18}, {16,25}, {7,36}, {15,43}, {10,44}, {12,34}, {16,23}, {8,27}, {11,28}, {6,29}, {16,30}, {15,29}, {3,34}, {3,46}, {11,33}, {6,40}, {1,17}, {9,48}, {5,22}, {9,32}, {5,50}, {12,20}, {12,46}, {12,44}, {4,42}, {2,39}, {7,49}, {7,25}, {2,35}, {6,30}, {15,19}, {6,18}, {16,37}, {1,29}, {7,50}, {13,31}, {11,21}, {15,41}, {13,33}, {7,26}, {5,18}, {11,23}, {13,43}, {5,30}, {13,50}, {5,46}, {1,45}, {9,20}, {14,41}, {4,43}, {1,33}, {15,17}, {15,36}, {8,26}, {10,51}, {16,49}, {5,42}, {12,33}, {9,40}, {11,52}, {14,17}, {14,22}, {1,49}, {8,40}, {14,34}, {3,23}, {10,32}, {1,25}, {6,41}, {6,28}, {10,39}, {1,37}, {13,26}, {6,42}, {13,19}, {3,24}, {16,35}, {10,27}, {8,38}, {3,48}, {8,50}, {2,47}, {10,49}, {2,31}, {11,40}, {9,36}, {16,42}, {11,47}, {5,26}, {4,18}, {13,38}, {6,52}, {9,52}, {11,45}, {4,20}, {1,41}, {7,24}, {9,24}, {8,51}, {10,20}, {14,46}, {3,47}, {13,45}, {7,37}, {2,43}, {3,36}, {4,44}, {14,27}, {4,32}, {12,21}, {14,29} }; // ETB52.26 // Bipartite(16,36) Valencies [9,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 417942208512 EdgesBipt[52][25]:={ {11,43}, {7,42}, {16,34}, {5,32}, {6,39}, {11,17}, {8,24}, {12,26}, {2,38}, {4,42}, {12,19}, {7,40}, {16,30}, {10,27}, {8,36}, {6,51}, {11,29}, {6,23}, {13,24}, {14,19}, {5,34}, {1,25}, {4,49}, {12,31}, {13,48}, {16,18}, {10,40}, {2,33}, {6,25}, {16,23}, {8,46}, {10,44}, {12,18}, {4,44}, {9,37}, {10,52}, {8,34}, {3,45}, {2,28}, {14,20}, {3,31}, {8,41}, {5,21}, {3,19}, {1,29}, {8,22}, {7,28}, {12,30}, {15,39}, {9,38}, {5,33}, {4,37}, {15,34}, {4,20}, {2,52}, {15,22}, {6,47}, {7,41}, {6,49}, {16,47}, {1,17}, {2,50}, {10,39}, {7,29}, {16,35}, {15,46}, {13,35}, {14,43}, {6,37}, {8,17}, {11,39}, {3,23}, {13,47}, {15,50}, {4,30}, {2,40}, {7,30}, {7,52}, {3,47}, {11,51}, {14,44}, {9,25}, {4,25}, {13,40}, {9,49}, {9,48}, {15,26}, {14,32}, {11,41}, {5,22}, {12,38}, {14,36}, {3,35}, {5,46}, {2,21}, {12,43}, {5,45}, {10,28}, {11,19}, {7,18}, {14,31}, {5,20}, {1,49}, {11,31}, {9,24}, {15,51}, {13,28}, {16,22}, {9,26}, {3,21}, {1,41}, {16,46}, {11,27}, {4,32}, {1,37}, {10,51}, {12,42}, {15,27}, {4,18}, {13,23}, {2,26}, {8,48}, {10,32}, {13,36}, {15,38}, {16,42}, {1,33}, {13,52}, {10,20}, {6,35}, {9,36}, {3,43}, {6,27}, {14,48}, {5,44}, {1,45}, {3,33}, {12,50}, {7,17}, {9,50}, {1,21}, {14,24}, {8,29}, {2,45} }; // ETB52.27 // Bipartite(26,26) Valencies [9,9] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 22464 EdgesBipt[52][26]:={ {2,44}, {15,52}, {17,35}, {17,44}, {11,36}, {18,39}, {21,48}, {16,33}, {23,29}, {3,40}, {25,51}, {12,45}, {10,37}, {17,47}, {4,50}, {26,31}, {18,46}, {7,48}, {26,47}, {2,51}, {16,47}, {12,32}, {8,42}, {8,28}, {25,38}, {15,49}, {15,31}, {1,32}, {24,27}, {23,28}, {12,38}, {7,44}, {12,41}, {25,33}, {12,42}, {3,35}, {25,29}, {9,43}, {19,47}, {24,30}, {22,32}, {19,48}, {21,43}, {14,50}, {15,43}, {23,48}, {10,44}, {3,52}, {2,41}, {13,47}, {23,43}, {9,35}, {20,30}, {8,31}, {11,50}, {18,34}, {23,39}, {18,37}, {21,52}, {6,29}, {16,30}, {23,32}, {15,29}, {3,34}, {20,38}, {22,45}, {10,48}, {11,33}, {6,40}, {20,50}, {21,46}, {1,38}, {14,33}, {2,34}, {26,45}, {2,36}, {26,28}, {19,40}, {14,36}, {9,32}, {24,37}, {15,40}, {4,41}, {12,46}, {8,47}, {12,49}, {10,52}, {5,43}, {19,29}, {4,42}, {7,32}, {26,40}, {7,49}, {22,27}, {2,35}, {11,44}, {23,36}, {25,34}, {18,49}, {4,33}, {10,29}, {22,44}, {22,51}, {9,50}, {17,43}, {1,29}, {7,30}, {3,39}, {13,31}, {24,47}, {15,41}, {23,35}, {6,33}, {15,50}, {13,43}, {24,45}, {20,44}, {13,44}, {5,30}, {6,44}, {19,41}, {17,27}, {5,46}, {26,52}, {15,37}, {20,28}, {8,35}, {10,42}, {13,28}, {24,34}, {3,27}, {9,51}, {26,36}, {4,28}, {1,33}, {10,45}, {16,48}, {22,29}, {21,33}, {5,42}, {17,52}, {1,52}, {24,41}, {4,36}, {16,51}, {19,46}, {9,40}, {16,45}, {22,39}, {5,31}, {11,39}, {20,39}, {20,49}, {14,49}, {1,39}, {21,30}, {19,51}, {5,36}, {1,46}, {25,49}, {25,42}, {26,32}, {17,41}, {19,36}, {6,41}, {6,28}, {22,31}, {9,30}, {24,38}, {1,37}, {5,39}, {22,50}, {23,49}, {4,37}, {14,45}, {25,43}, {8,34}, {4,51}, {16,35}, {18,28}, {20,52}, {6,45}, {10,36}, {3,48}, {8,50}, {10,34}, {13,51}, {13,48}, {20,42}, {1,47}, {6,38}, {2,31}, {14,52}, {11,40}, {18,51}, {16,42}, {11,47}, {5,27}, {18,45}, {16,39}, {13,38}, {12,48}, {9,38}, {3,38}, {7,27}, {8,46}, {14,35}, {25,27}, {13,37}, {3,31}, {21,34}, {18,40}, {9,46}, {14,46}, {7,33}, {12,31}, {17,42}, {11,34}, {11,43}, {2,30}, {7,37}, {5,37}, {21,41}, {21,28}, {6,35}, {17,32}, {7,40}, {14,27}, {8,29}, {4,32}, {19,27}, {24,50}, {2,49}, {26,30} }; // ETB52.28 // Bipartite(12,40) Valencies [10,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[52][27]:={ {1,15}, {4,35}, {7,43}, {7,42}, {9,40}, {5,14}, {11,17}, {1,43}, {12,26}, {5,52}, {2,22}, {6,36}, {8,51}, {1,31}, {10,27}, {6,41}, {10,48}, {11,42}, {7,38}, {12,17}, {2,47}, {7,33}, {12,14}, {10,40}, {1,38}, {9,39}, {8,46}, {9,21}, {11,16}, {4,44}, {3,30}, {6,40}, {3,50}, {8,42}, {12,27}, {3,34}, {11,52}, {3,31}, {2,19}, {2,18}, {5,26}, {8,13}, {10,18}, {10,23}, {2,29}, {11,45}, {5,37}, {3,48}, {1,29}, {11,49}, {12,21}, {12,46}, {2,52}, {6,47}, {8,33}, {9,43}, {4,39}, {10,25}, {6,46}, {2,32}, {12,34}, {4,33}, {4,28}, {12,51}, {10,15}, {7,25}, {10,37}, {11,39}, {11,28}, {6,15}, {1,19}, {2,35}, {12,35}, {8,19}, {11,26}, {6,29}, {9,49}, {9,48}, {2,27}, {5,38}, {1,23}, {6,30}, {7,18}, {7,44}, {5,20}, {4,22}, {5,47}, {1,49}, {5,36}, {3,24}, {5,31}, {8,20}, {6,16}, {3,21}, {3,44}, {10,51}, {3,16}, {1,13}, {7,32}, {8,45}, {3,20}, {4,50}, {12,41}, {10,50}, {9,14}, {8,37}, {9,32}, {8,30}, {9,36}, {4,41}, {7,34}, {7,17}, {4,23}, {11,24}, {4,13}, {5,25}, {1,24}, {2,45}, {6,28}, {9,22} }; // ETB52.29 // Bipartite(12,40) Valencies [10,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2063912140800000000 EdgesBipt[52][28]:={ {7,43}, {7,19}, {11,43}, {5,14}, {12,48}, {3,15}, {8,39}, {8,31}, {6,18}, {4,14}, {5,42}, {5,30}, {9,42}, {6,36}, {5,50}, {12,16}, {4,48}, {2,20}, {4,40}, {5,34}, {1,25}, {4,16}, {12,40}, {6,50}, {9,39}, {7,45}, {7,27}, {10,44}, {11,38}, {11,22}, {10,52}, {7,51}, {2,28}, {9,31}, {3,31}, {6,34}, {5,26}, {3,51}, {8,41}, {3,19}, {1,29}, {8,15}, {12,21}, {2,52}, {10,36}, {8,33}, {4,46}, {1,17}, {10,25}, {2,16}, {2,32}, {8,47}, {2,36}, {10,41}, {9,34}, {7,29}, {9,23}, {7,13}, {8,17}, {3,23}, {11,46}, {3,27}, {4,30}, {6,26}, {10,33}, {2,40}, {3,47}, {11,51}, {12,29}, {9,15}, {2,44}, {11,14}, {7,35}, {12,24}, {4,38}, {6,52}, {2,24}, {5,22}, {5,38}, {3,35}, {5,46}, {2,48}, {10,49}, {10,28}, {11,19}, {4,22}, {1,49}, {8,23}, {6,20}, {9,26}, {11,30}, {9,18}, {1,41}, {10,17}, {11,27}, {4,32}, {6,42}, {3,39}, {8,49}, {1,37}, {9,47}, {1,13}, {8,25}, {7,37}, {7,21}, {1,33}, {12,32}, {10,20}, {5,18}, {6,44}, {3,43}, {1,45}, {9,50}, {11,35}, {12,37}, {1,21}, {4,24}, {12,13}, {12,45}, {6,28} }; // ETB52.30 // Bipartite(12,40) Valencies [10,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 125829120 EdgesBipt[52][29]:={ {10,19}, {7,48}, {11,15}, {5,14}, {10,21}, {11,44}, {11,17}, {1,43}, {2,38}, {4,42}, {3,29}, {5,30}, {9,42}, {5,50}, {4,27}, {12,16}, {1,46}, {10,43}, {2,20}, {10,48}, {5,34}, {7,38}, {6,13}, {12,17}, {12,40}, {5,41}, {9,39}, {7,45}, {9,19}, {4,44}, {8,34}, {3,34}, {9,31}, {9,51}, {10,45}, {2,18}, {8,14}, {4,26}, {5,21}, {10,23}, {8,15}, {3,41}, {7,28}, {12,30}, {9,38}, {2,52}, {6,47}, {2,31}, {6,49}, {4,46}, {3,13}, {10,25}, {6,46}, {1,22}, {2,32}, {6,33}, {10,41}, {10,39}, {3,14}, {7,25}, {8,35}, {3,23}, {8,17}, {4,31}, {6,26}, {6,15}, {1,19}, {2,40}, {7,52}, {1,26}, {11,37}, {2,44}, {6,29}, {9,48}, {2,24}, {4,51}, {1,23}, {5,45}, {10,28}, {1,39}, {7,18}, {4,22}, {9,28}, {11,40}, {5,36}, {12,36}, {2,51}, {1,42}, {8,50}, {7,16}, {3,21}, {3,49}, {9,18}, {11,27}, {8,49}, {1,13}, {7,32}, {11,20}, {1,33}, {12,32}, {8,37}, {6,35}, {11,47}, {12,52}, {8,30}, {3,43}, {6,27}, {4,47}, {3,33}, {12,50}, {7,36}, {11,24}, {5,16}, {11,35}, {12,37}, {12,20}, {5,25}, {4,24}, {8,29}, {9,22} }; // ETB52.31 // Bipartite(13,39) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 156 EdgesBipt[52][30]:={ {4,35}, {11,43}, {7,42}, {13,41}, {6,39}, {6,48}, {5,14}, {9,52}, {12,48}, {8,24}, {4,42}, {12,19}, {3,29}, {2,22}, {3,38}, {6,36}, {8,51}, {13,18}, {6,23}, {10,48}, {13,24}, {11,42}, {4,49}, {7,33}, {12,31}, {12,14}, {6,50}, {6,25}, {7,45}, {8,46}, {1,44}, {10,44}, {11,16}, {12,18}, {4,44}, {1,32}, {9,37}, {10,52}, {12,27}, {13,42}, {1,52}, {9,51}, {13,46}, {2,15}, {5,26}, {8,14}, {6,22}, {2,29}, {3,19}, {11,45}, {5,37}, {3,48}, {5,49}, {8,44}, {3,41}, {12,30}, {13,51}, {5,23}, {12,46}, {4,37}, {4,20}, {10,34}, {2,52}, {6,47}, {9,27}, {2,31}, {10,36}, {13,33}, {7,26}, {9,43}, {8,28}, {4,39}, {1,17}, {2,16}, {1,22}, {2,50}, {3,40}, {12,34}, {8,21}, {4,28}, {7,29}, {9,34}, {7,47}, {10,31}, {10,16}, {5,43}, {10,37}, {10,24}, {7,20}, {8,26}, {13,35}, {3,27}, {4,30}, {6,15}, {7,49}, {2,40}, {4,21}, {9,25}, {9,15}, {13,40}, {9,33}, {11,41}, {11,36}, {5,38}, {2,43}, {1,23}, {2,21}, {5,27}, {5,45}, {11,19}, {1,39}, {6,38}, {8,38}, {9,28}, {3,28}, {5,36}, {2,49}, {11,25}, {8,50}, {6,20}, {11,21}, {1,14}, {1,51}, {1,41}, {10,17}, {3,39}, {7,22}, {11,32}, {3,16}, {4,18}, {8,25}, {12,47}, {13,23}, {7,46}, {13,15}, {12,32}, {3,17}, {6,35}, {9,32}, {11,47}, {5,18}, {10,26}, {13,31}, {10,35}, {7,34}, {3,33}, {1,45}, {12,50}, {7,17}, {11,24}, {1,30}, {2,30}, {4,19}, {5,40}, {9,20}, {8,29} }; // ETB52.32 // Bipartite(13,39) Valencies [12,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 679156088832 EdgesBipt[52][31]:={ {6,48}, {3,33}, {10,25}, {5,17}, {12,29}, {13,21}, {5,34}, {13,40}, {4,26}, {3,40}, {4,30}, {11,25}, {8,30}, {8,43}, {12,22}, {8,33}, {1,27}, {10,23}, {7,44}, {1,40}, {2,15}, {4,19}, {9,44}, {12,39}, {2,19}, {8,52}, {12,42}, {5,47}, {2,26}, {8,39}, {11,41}, {1,21}, {12,35}, {2,41}, {13,47}, {2,28}, {9,35}, {4,23}, {6,22}, {11,28}, {2,45}, {11,38}, {3,46}, {6,31}, {1,38}, {9,48}, {10,38}, {9,29}, {3,49}, {1,18}, {3,14}, {7,20}, {5,50}, {12,20}, {1,44}, {12,46}, {2,52}, {5,43}, {11,51}, {7,46}, {2,39}, {11,15}, {1,31}, {4,45}, {2,35}, {1,51}, {12,16}, {10,29}, {3,20}, {9,42}, {13,49}, {6,18}, {2,48}, {4,52}, {7,50}, {8,17}, {11,21}, {9,25}, {2,32}, {6,50}, {13,43}, {6,24}, {5,30}, {6,44}, {5,24}, {13,23}, {10,42}, {7,14}, {3,27}, {9,51}, {4,43}, {10,45}, {3,29}, {8,37}, {5,28}, {13,36}, {8,26}, {10,51}, {12,26}, {9,22}, {7,31}, {12,33}, {6,15}, {13,30}, {5,41}, {4,36}, {3,23}, {10,32}, {1,25}, {6,41}, {6,28}, {13,27}, {3,16}, {9,18}, {2,22}, {10,36}, {8,50}, {11,32}, {8,24}, {10,49}, {1,47}, {4,49}, {12,52}, {13,14}, {11,47}, {3,42}, {12,48}, {11,19}, {9,38}, {10,19}, {11,45}, {8,20}, {7,27}, {8,46}, {7,24}, {1,14}, {5,15}, {7,33}, {6,37}, {11,34}, {13,34}, {5,21}, {13,17}, {7,37}, {9,31}, {1,34}, {5,37}, {4,17}, {6,35}, {3,36}, {9,16}, {4,39}, {7,40}, {4,32}, {7,18}, {10,16} }; // ETB52.33 // Bipartite(13,39) Valencies [12,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 73348857593856 EdgesBipt[52][32]:={ {2,44}, {10,24}, {1,20}, {9,28}, {13,32}, {6,16}, {12,29}, {11,35}, {10,37}, {7,48}, {5,38}, {7,38}, {8,28}, {3,45}, {7,44}, {4,19}, {7,22}, {2,19}, {8,52}, {12,41}, {9,49}, {2,27}, {12,42}, {5,20}, {9,43}, {3,37}, {8,39}, {7,51}, {11,14}, {7,36}, {3,52}, {8,25}, {2,14}, {1,30}, {8,15}, {12,37}, {13,29}, {13,16}, {12,50}, {10,22}, {10,30}, {6,29}, {2,45}, {6,47}, {6,21}, {5,40}, {10,48}, {2,34}, {1,17}, {4,22}, {3,49}, {1,18}, {10,47}, {5,50}, {9,27}, {1,44}, {4,41}, {8,41}, {8,47}, {12,44}, {9,41}, {5,25}, {1,31}, {11,22}, {7,49}, {4,45}, {9,14}, {7,25}, {12,16}, {4,33}, {6,49}, {10,21}, {3,39}, {3,32}, {4,35}, {2,32}, {6,33}, {13,43}, {11,29}, {6,46}, {5,24}, {4,48}, {5,46}, {12,28}, {13,25}, {5,14}, {4,15}, {3,50}, {4,28}, {1,33}, {6,23}, {1,43}, {3,26}, {4,46}, {8,26}, {1,52}, {7,31}, {13,30}, {10,43}, {9,40}, {11,52}, {8,21}, {3,19}, {11,39}, {3,23}, {1,39}, {1,46}, {5,51}, {12,15}, {9,30}, {13,42}, {11,26}, {6,42}, {10,35}, {11,16}, {7,23}, {13,19}, {6,36}, {2,21}, {8,34}, {5,33}, {10,17}, {3,24}, {11,27}, {8,38}, {1,26}, {10,34}, {13,51}, {9,17}, {2,47}, {2,40}, {2,31}, {10,50}, {11,40}, {9,36}, {6,34}, {5,27}, {13,38}, {4,20}, {11,48}, {12,24}, {8,51}, {12,31}, {6,20}, {7,35}, {9,15}, {13,17}, {13,45}, {2,18}, {5,37}, {11,42}, {3,36}, {9,23}, {4,32}, {12,18}, {7,18} }; // ETB52.34 // Bipartite(26,26) Valencies [12,12] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 624 EdgesBipt[52][33]:={ {18,45}, {6,38}, {15,38}, {14,36}, {11,49}, {9,32}, {16,51}, {4,28}, {8,51}, {5,45}, {25,40}, {13,37}, {17,42}, {13,39}, {2,35}, {4,31}, {20,46}, {21,30}, {14,31}, {15,27}, {24,32}, {24,36}, {2,49}, {10,39}, {26,37}, {14,45}, {16,37}, {19,37}, {3,39}, {21,28}, {5,32}, {4,51}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {24,48}, {14,29}, {23,44}, {17,35}, {3,49}, {11,29}, {10,47}, {19,40}, {12,28}, {12,48}, {21,40}, {4,43}, {16,48}, {15,32}, {2,52}, {8,30}, {9,33}, {20,43}, {26,39}, {12,38}, {23,31}, {13,30}, {6,39}, {25,34}, {11,39}, {22,42}, {19,48}, {12,40}, {20,29}, {3,52}, {23,28}, {13,47}, {15,30}, {20,39}, {19,52}, {24,50}, {24,47}, {21,50}, {26,35}, {24,45}, {13,42}, {20,35}, {1,29}, {19,42}, {23,42}, {16,34}, {6,46}, {16,43}, {10,35}, {15,45}, {18,39}, {26,52}, {5,50}, {17,36}, {18,47}, {18,46}, {8,49}, {18,29}, {6,34}, {1,43}, {9,29}, {18,33}, {6,51}, {22,43}, {3,38}, {15,28}, {20,41}, {24,40}, {14,35}, {1,42}, {1,31}, {19,47}, {12,27}, {25,33}, {1,39}, {7,37}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {19,49}, {25,29}, {8,48}, {4,32}, {19,27}, {6,36}, {23,39}, {18,51}, {16,29}, {11,36}, {3,30}, {1,47}, {22,48}, {21,47}, {26,51}, {10,36}, {2,51}, {20,51}, {10,46}, {11,33}, {21,31}, {19,30}, {8,41}, {9,38}, {18,38}, {7,46}, {8,45}, {17,31}, {11,52}, {26,44}, {22,29}, {3,44}, {4,47}, {17,28}, {7,35}, {11,46}, {12,30}, {6,30}, {7,34}, {10,31}, {25,41}, {25,46}, {13,50}, {23,35}, {24,38}, {18,44}, {14,27}, {16,41}, {20,44}, {14,52}, {15,46}, {17,30}, {10,30}, {5,40}, {25,45}, {12,45}, {26,47}, {15,35}, {26,31}, {11,32}, {10,52}, {3,42}, {13,38}, {15,49}, {23,27}, {14,40}, {1,48}, {24,43}, {9,41}, {16,31}, {25,38}, {3,41}, {23,34}, {4,36}, {22,41}, {4,29}, {9,44}, {22,52}, {25,50}, {7,52}, {26,27}, {6,43}, {6,37}, {8,32}, {22,39}, {24,51}, {26,48}, {5,31}, {19,34}, {16,44}, {21,49}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {25,42}, {17,50}, {23,37}, {26,30}, {7,29}, {22,38}, {8,36}, {13,44}, {21,46}, {3,48}, {13,32}, {1,45}, {20,50}, {10,50}, {14,51}, {3,50}, {19,33}, {9,28}, {3,34}, {4,27}, {4,46}, {18,52}, {25,36}, {20,28}, {21,33}, {1,33}, {18,27}, {3,45}, {12,44}, {7,47}, {2,37}, {5,29}, {16,50}, {21,34}, {8,33}, {5,47}, {18,49}, {15,47}, {14,49}, {11,31}, {21,44}, {24,52}, {26,32}, {22,27}, {1,34}, {15,42}, {7,42}, {2,50}, {6,41}, {23,49}, {17,40}, {12,34}, {19,36}, {21,51}, {13,33}, {23,46}, {5,49}, {20,45}, {11,37}, {10,34}, {16,33}, {10,45}, {2,40}, {14,41}, {17,37}, {13,28}, {1,28}, {16,52}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {22,35}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {1,27}, {5,44}, {22,36}, {8,39}, {22,32}, {23,41}, {25,28}, {24,33}, {12,35}, {11,50}, {17,43}, {6,33}, {2,32}, {12,51}, {9,48}, {17,48}, {5,48}, {9,37} }; // ETB52.35 // Bipartite(26,26) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 10468982784 EdgesBipt[52][34]:={ {24,34}, {15,33}, {18,45}, {6,38}, {10,37}, {16,47}, {9,32}, {4,28}, {5,43}, {5,45}, {22,40}, {25,40}, {1,40}, {14,38}, {15,44}, {17,33}, {4,31}, {26,43}, {21,30}, {24,32}, {2,49}, {10,39}, {6,48}, {19,37}, {16,37}, {5,32}, {7,30}, {15,41}, {4,37}, {20,52}, {4,40}, {2,46}, {13,43}, {14,29}, {10,48}, {24,28}, {2,33}, {3,49}, {11,29}, {6,29}, {20,38}, {2,34}, {19,31}, {26,38}, {12,48}, {16,42}, {18,32}, {1,52}, {2,52}, {8,30}, {16,49}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {5,41}, {8,52}, {20,49}, {13,30}, {12,42}, {23,36}, {12,31}, {19,48}, {12,40}, {23,28}, {13,47}, {20,39}, {24,50}, {24,47}, {21,50}, {26,35}, {18,35}, {24,45}, {1,29}, {19,42}, {16,34}, {13,51}, {6,46}, {16,43}, {10,35}, {6,44}, {9,47}, {12,52}, {1,38}, {2,36}, {20,36}, {13,41}, {25,52}, {16,40}, {22,34}, {24,37}, {18,29}, {9,36}, {1,43}, {11,51}, {18,36}, {6,51}, {19,46}, {3,43}, {15,28}, {5,28}, {24,41}, {14,46}, {2,39}, {9,46}, {3,47}, {1,42}, {7,32}, {19,38}, {12,27}, {1,39}, {11,42}, {5,35}, {3,36}, {25,29}, {8,48}, {26,41}, {4,32}, {25,44}, {22,49}, {2,44}, {1,30}, {8,50}, {23,39}, {23,40}, {16,29}, {3,30}, {13,48}, {9,51}, {21,47}, {26,51}, {10,36}, {14,33}, {20,51}, {15,34}, {14,39}, {8,47}, {4,41}, {9,38}, {21,37}, {3,29}, {17,31}, {4,45}, {26,44}, {1,51}, {25,32}, {20,31}, {23,48}, {11,34}, {17,28}, {4,33}, {15,52}, {17,46}, {23,35}, {20,30}, {13,31}, {24,38}, {14,27}, {22,45}, {20,44}, {25,31}, {17,44}, {8,34}, {14,52}, {15,46}, {4,50}, {25,45}, {16,30}, {12,45}, {26,47}, {12,29}, {26,31}, {6,31}, {11,32}, {10,52}, {19,50}, {3,42}, {14,43}, {13,38}, {15,49}, {23,27}, {19,44}, {14,40}, {7,49}, {7,39}, {15,39}, {24,29}, {21,39}, {7,52}, {19,29}, {6,37}, {24,51}, {10,28}, {26,48}, {4,44}, {2,41}, {17,41}, {20,32}, {25,42}, {17,50}, {18,41}, {10,40}, {23,37}, {26,30}, {18,30}, {2,28}, {21,52}, {22,38}, {13,44}, {21,46}, {23,52}, {16,36}, {10,50}, {14,51}, {3,50}, {19,33}, {3,34}, {4,27}, {18,28}, {11,47}, {4,46}, {8,43}, {25,39}, {2,31}, {11,45}, {1,33}, {21,33}, {16,27}, {26,28}, {12,44}, {5,29}, {16,50}, {10,41}, {14,30}, {21,34}, {7,31}, {8,33}, {12,39}, {21,35}, {18,49}, {15,47}, {7,51}, {22,33}, {19,35}, {13,34}, {11,41}, {22,27}, {22,51}, {13,35}, {21,43}, {23,49}, {17,40}, {6,42}, {21,48}, {18,43}, {5,49}, {20,45}, {11,37}, {11,28}, {2,47}, {14,42}, {10,27}, {3,40}, {17,27}, {8,35}, {17,45}, {9,45}, {22,46}, {17,37}, {13,28}, {26,34}, {3,27}, {9,27}, {7,38}, {5,42}, {23,50}, {12,32}, {15,36}, {25,35}, {15,31}, {7,44}, {9,49}, {7,43}, {9,40}, {19,51}, {24,42}, {1,27}, {25,27}, {22,36}, {22,47}, {1,46}, {3,37}, {8,39}, {22,32}, {23,41}, {5,36}, {9,34}, {25,48}, {12,35}, {7,36}, {6,35}, {17,32}, {11,50}, {6,50}, {18,42}, {6,33}, {18,48}, {5,48}, {5,30}, {11,38}, {10,49} }; // ETB52.36 // Bipartite(26,26) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1277952 EdgesBipt[52][35]:={ {24,34}, {15,33}, {7,48}, {16,47}, {14,36}, {9,32}, {26,46}, {16,51}, {4,28}, {25,37}, {5,43}, {22,40}, {13,37}, {15,44}, {14,50}, {17,33}, {4,31}, {26,43}, {21,41}, {2,49}, {26,37}, {14,45}, {6,48}, {1,35}, {4,51}, {15,41}, {8,31}, {20,52}, {4,37}, {13,43}, {10,48}, {24,28}, {2,33}, {6,32}, {3,49}, {11,35}, {11,29}, {10,42}, {6,29}, {10,47}, {20,38}, {2,34}, {26,38}, {16,42}, {1,52}, {2,52}, {16,49}, {23,38}, {12,46}, {7,45}, {8,46}, {8,37}, {17,39}, {8,52}, {12,38}, {23,31}, {25,34}, {11,39}, {7,33}, {19,48}, {20,29}, {23,28}, {24,30}, {20,39}, {24,50}, {24,47}, {18,35}, {24,45}, {13,42}, {9,35}, {1,36}, {19,42}, {23,42}, {12,37}, {13,51}, {6,46}, {10,35}, {18,39}, {17,47}, {4,49}, {12,52}, {2,29}, {18,46}, {20,36}, {8,49}, {25,52}, {16,40}, {26,36}, {22,34}, {24,37}, {18,29}, {6,34}, {1,43}, {12,49}, {9,39}, {18,36}, {22,43}, {6,51}, {3,38}, {19,46}, {15,28}, {5,28}, {26,42}, {14,35}, {3,47}, {1,42}, {7,32}, {19,47}, {12,27}, {25,33}, {3,51}, {5,35}, {15,50}, {3,36}, {2,44}, {1,30}, {23,40}, {18,51}, {3,30}, {9,51}, {21,47}, {26,51}, {10,38}, {15,34}, {10,46}, {17,51}, {21,31}, {19,30}, {8,47}, {4,41}, {8,41}, {21,37}, {17,31}, {13,36}, {1,41}, {26,44}, {25,32}, {20,31}, {13,45}, {4,47}, {3,44}, {11,44}, {24,39}, {23,48}, {25,49}, {11,34}, {17,28}, {19,45}, {25,30}, {2,43}, {12,30}, {6,30}, {7,50}, {4,33}, {22,44}, {10,31}, {9,31}, {15,52}, {25,46}, {22,31}, {23,35}, {13,31}, {5,39}, {24,38}, {3,32}, {14,27}, {22,45}, {6,45}, {19,41}, {14,52}, {5,40}, {4,50}, {23,47}, {16,30}, {26,31}, {21,32}, {15,40}, {3,42}, {14,43}, {10,52}, {14,37}, {13,38}, {15,49}, {23,27}, {24,35}, {1,48}, {9,41}, {25,38}, {7,39}, {23,34}, {22,41}, {9,44}, {24,29}, {7,52}, {19,29}, {8,32}, {22,39}, {10,28}, {20,48}, {19,34}, {16,44}, {21,49}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {17,50}, {10,40}, {7,29}, {18,30}, {2,28}, {8,29}, {21,52}, {8,36}, {13,44}, {21,46}, {23,52}, {5,46}, {6,47}, {25,43}, {16,36}, {1,45}, {20,50}, {11,30}, {3,50}, {19,33}, {4,27}, {18,28}, {15,29}, {11,47}, {25,39}, {16,38}, {11,45}, {16,27}, {26,28}, {5,29}, {16,50}, {14,30}, {7,31}, {12,33}, {12,39}, {21,35}, {18,49}, {21,44}, {20,33}, {5,51}, {22,27}, {15,42}, {22,51}, {2,50}, {6,41}, {21,29}, {24,44}, {12,34}, {8,44}, {6,42}, {19,32}, {13,33}, {18,43}, {23,46}, {5,49}, {20,45}, {1,50}, {11,37}, {11,28}, {14,42}, {10,27}, {10,34}, {3,40}, {17,27}, {8,35}, {2,40}, {9,45}, {14,41}, {17,37}, {13,28}, {3,27}, {9,27}, {7,38}, {12,32}, {22,35}, {21,36}, {18,40}, {9,40}, {19,51}, {20,40}, {1,27}, {25,27}, {9,43}, {26,33}, {22,32}, {5,36}, {9,34}, {15,43}, {13,46}, {4,39}, {7,36}, {11,50}, {14,48}, {1,37}, {2,42}, {16,32}, {4,48}, {26,45}, {6,33}, {18,48}, {17,49}, {17,48}, {5,48}, {5,30}, {11,38} }; // ETB52.37 // Bipartite(24,28) Valencies [14,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 64512 EdgesBipt[52][36]:={ {15,33}, {18,45}, {7,48}, {19,28}, {6,38}, {10,37}, {16,47}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {23,29}, {8,51}, {5,45}, {3,26}, {22,40}, {13,37}, {14,38}, {17,42}, {13,39}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {8,40}, {3,35}, {20,46}, {10,33}, {14,31}, {15,27}, {24,36}, {2,49}, {10,39}, {14,45}, {6,48}, {19,37}, {21,28}, {8,31}, {4,40}, {4,37}, {20,52}, {2,46}, {23,44}, {24,28}, {14,44}, {6,32}, {3,49}, {11,35}, {11,27}, {10,47}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {2,25}, {18,32}, {1,52}, {16,48}, {23,45}, {4,30}, {16,49}, {8,30}, {9,33}, {20,43}, {8,37}, {24,46}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {23,36}, {11,39}, {6,49}, {22,42}, {12,31}, {12,40}, {17,26}, {13,47}, {24,30}, {2,48}, {15,30}, {19,52}, {24,47}, {21,50}, {18,35}, {16,25}, {24,31}, {13,42}, {23,43}, {19,42}, {16,34}, {13,51}, {6,46}, {16,43}, {10,35}, {18,39}, {6,44}, {13,26}, {9,47}, {4,49}, {5,50}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {2,36}, {20,36}, {16,40}, {22,34}, {18,29}, {9,36}, {9,29}, {11,51}, {12,49}, {8,42}, {6,51}, {3,38}, {5,27}, {19,46}, {15,28}, {24,41}, {14,46}, {20,41}, {2,39}, {9,46}, {14,35}, {3,47}, {1,42}, {7,32}, {1,31}, {19,47}, {13,49}, {6,27}, {11,42}, {3,36}, {19,49}, {17,29}, {8,48}, {22,49}, {8,50}, {14,28}, {12,47}, {23,39}, {23,40}, {18,51}, {3,30}, {9,51}, {2,51}, {15,37}, {15,34}, {21,31}, {4,41}, {9,26}, {18,38}, {21,37}, {8,45}, {3,29}, {13,36}, {1,41}, {4,45}, {1,51}, {22,29}, {12,41}, {13,45}, {24,39}, {3,25}, {11,34}, {21,42}, {7,35}, {11,46}, {2,43}, {5,52}, {22,30}, {2,27}, {6,30}, {18,25}, {15,52}, {24,25}, {23,51}, {1,25}, {22,50}, {23,35}, {20,30}, {24,38}, {18,44}, {14,27}, {22,45}, {7,28}, {10,30}, {5,40}, {12,45}, {4,34}, {10,25}, {17,38}, {12,29}, {17,52}, {16,26}, {10,52}, {3,42}, {14,43}, {14,37}, {9,41}, {16,31}, {7,39}, {3,41}, {22,41}, {1,32}, {9,44}, {21,39}, {7,52}, {19,29}, {22,39}, {5,31}, {20,48}, {19,34}, {16,44}, {4,44}, {7,40}, {2,41}, {12,43}, {20,32}, {18,41}, {21,52}, {8,36}, {13,44}, {24,49}, {21,46}, {23,52}, {3,48}, {13,32}, {1,45}, {10,50}, {20,50}, {11,30}, {3,50}, {4,27}, {19,43}, {18,28}, {15,29}, {11,47}, {8,43}, {2,31}, {1,33}, {20,28}, {21,33}, {19,25}, {7,47}, {2,37}, {5,29}, {16,50}, {10,41}, {7,31}, {12,33}, {8,33}, {5,47}, {21,35}, {15,47}, {14,49}, {7,51}, {22,33}, {11,31}, {21,44}, {15,48}, {19,35}, {13,34}, {24,52}, {9,50}, {1,34}, {22,27}, {7,42}, {21,29}, {24,44}, {23,30}, {6,42}, {4,35}, {21,48}, {19,32}, {15,51}, {23,46}, {20,34}, {10,27}, {16,33}, {17,27}, {10,45}, {17,45}, {18,50}, {4,26}, {22,46}, {16,39}, {13,28}, {23,25}, {9,27}, {5,42}, {10,43}, {8,28}, {9,40}, {20,40}, {5,44}, {5,25}, {4,52}, {1,46}, {3,37}, {5,36}, {24,33}, {15,43}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {11,50}, {23,26}, {17,43}, {21,26}, {22,28}, {1,37}, {8,25}, {16,32}, {4,48}, {6,33}, {18,34}, {18,48}, {17,49}, {12,51}, {11,26}, {17,48}, {11,38}, {9,37}, {6,40} }; // ETB52.38 // Bipartite(24,28) Valencies [14,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 64512 EdgesBipt[52][37]:={ {24,34}, {6,52}, {11,40}, {11,49}, {16,51}, {19,26}, {11,25}, {4,28}, {5,43}, {8,26}, {1,49}, {1,40}, {2,35}, {21,30}, {24,32}, {21,41}, {16,37}, {3,39}, {20,37}, {16,28}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {13,43}, {24,48}, {13,27}, {14,29}, {10,48}, {13,40}, {2,33}, {17,35}, {4,38}, {11,29}, {10,42}, {6,29}, {19,31}, {22,37}, {12,48}, {4,43}, {21,40}, {16,42}, {15,32}, {2,52}, {23,38}, {12,46}, {7,45}, {8,46}, {5,41}, {8,52}, {21,38}, {20,49}, {23,31}, {12,42}, {6,39}, {10,26}, {7,33}, {3,52}, {19,48}, {20,29}, {23,28}, {20,39}, {22,25}, {5,37}, {24,50}, {24,45}, {20,35}, {9,35}, {1,36}, {1,29}, {23,42}, {12,37}, {15,45}, {24,26}, {8,38}, {17,47}, {12,52}, {18,47}, {18,46}, {13,41}, {8,49}, {20,42}, {10,51}, {24,37}, {6,34}, {1,43}, {9,39}, {18,26}, {18,36}, {18,33}, {22,43}, {3,43}, {5,28}, {24,40}, {19,38}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {2,30}, {5,35}, {14,34}, {15,50}, {20,25}, {4,32}, {2,44}, {1,30}, {21,45}, {19,27}, {6,36}, {16,29}, {11,36}, {13,48}, {1,47}, {22,48}, {21,47}, {22,26}, {10,36}, {14,33}, {20,51}, {10,38}, {10,46}, {11,33}, {13,25}, {21,25}, {17,51}, {14,39}, {19,30}, {11,48}, {8,47}, {8,41}, {9,38}, {7,46}, {17,31}, {11,52}, {11,44}, {4,47}, {3,44}, {20,31}, {23,48}, {17,28}, {19,45}, {12,30}, {4,33}, {7,50}, {22,44}, {7,34}, {10,31}, {9,31}, {10,44}, {10,29}, {17,46}, {22,31}, {13,50}, {13,31}, {9,30}, {5,39}, {3,32}, {16,41}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {17,30}, {20,47}, {4,50}, {23,47}, {16,30}, {15,35}, {6,31}, {11,32}, {9,52}, {21,32}, {12,25}, {15,40}, {19,50}, {1,44}, {13,38}, {15,49}, {23,27}, {24,35}, {18,31}, {19,44}, {14,40}, {1,48}, {7,49}, {24,43}, {16,45}, {23,34}, {4,36}, {15,39}, {4,29}, {22,52}, {24,29}, {6,43}, {6,37}, {8,32}, {24,27}, {24,51}, {10,28}, {17,25}, {21,49}, {12,50}, {17,41}, {2,26}, {17,50}, {10,40}, {23,37}, {7,29}, {18,30}, {14,47}, {2,28}, {8,29}, {22,38}, {8,27}, {2,45}, {5,46}, {6,47}, {3,33}, {16,36}, {14,26}, {23,32}, {14,51}, {19,33}, {19,39}, {9,28}, {3,34}, {16,46}, {4,46}, {18,52}, {16,38}, {11,45}, {18,27}, {12,36}, {16,27}, {3,45}, {12,44}, {5,26}, {4,42}, {4,25}, {14,30}, {3,28}, {21,34}, {12,39}, {17,34}, {20,27}, {18,49}, {20,33}, {5,51}, {11,41}, {7,25}, {6,26}, {15,42}, {22,51}, {13,35}, {21,43}, {2,50}, {21,27}, {6,41}, {23,49}, {17,40}, {12,34}, {8,44}, {19,36}, {6,28}, {21,51}, {13,33}, {18,43}, {14,25}, {5,49}, {7,26}, {20,45}, {1,50}, {11,37}, {23,33}, {11,28}, {2,47}, {16,35}, {14,42}, {10,34}, {3,40}, {8,35}, {2,40}, {9,45}, {14,41}, {17,37}, {1,28}, {16,52}, {3,27}, {7,38}, {2,38}, {23,50}, {12,32}, {15,36}, {22,35}, {21,36}, {15,31}, {7,44}, {9,49}, {7,43}, {18,40}, {19,51}, {24,42}, {1,27}, {15,26}, {22,36}, {9,43}, {22,47}, {8,39}, {22,32}, {9,42}, {23,41}, {9,34}, {13,46}, {4,39}, {13,52}, {6,50}, {14,48}, {2,42}, {18,42}, {2,32}, {3,46}, {9,48}, {5,48}, {15,25}, {5,33}, {18,37}, {5,30}, {10,49} }; // ETB52.39 // Bipartite(24,28) Valencies [14,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1387209705021820108800000000 EdgesBipt[52][38]:={ {24,34}, {18,45}, {7,48}, {19,28}, {6,38}, {11,40}, {10,37}, {16,47}, {9,32}, {6,25}, {16,51}, {8,51}, {5,45}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {3,35}, {20,46}, {10,33}, {15,27}, {21,41}, {2,49}, {14,45}, {3,39}, {21,28}, {5,32}, {4,51}, {8,31}, {2,46}, {14,29}, {23,44}, {13,40}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {22,37}, {2,25}, {4,43}, {21,40}, {16,42}, {1,52}, {15,32}, {4,30}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {24,46}, {5,41}, {12,38}, {23,31}, {12,26}, {7,27}, {12,42}, {23,36}, {11,39}, {6,49}, {10,26}, {22,42}, {12,31}, {19,48}, {3,52}, {23,28}, {24,30}, {20,39}, {22,25}, {19,52}, {5,37}, {24,50}, {24,47}, {24,31}, {20,35}, {23,43}, {1,36}, {1,29}, {16,34}, {6,46}, {16,43}, {24,26}, {8,38}, {17,36}, {2,29}, {18,46}, {13,41}, {20,42}, {22,34}, {18,29}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {18,26}, {18,33}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {7,32}, {3,31}, {19,47}, {12,27}, {3,51}, {13,49}, {2,30}, {14,34}, {3,36}, {17,29}, {22,49}, {21,45}, {19,27}, {8,50}, {12,47}, {23,39}, {23,40}, {11,36}, {13,48}, {22,26}, {14,33}, {20,51}, {10,38}, {10,46}, {13,25}, {21,25}, {11,48}, {8,47}, {18,38}, {21,37}, {11,52}, {13,36}, {1,41}, {22,29}, {20,31}, {13,45}, {4,47}, {3,44}, {11,44}, {24,39}, {23,48}, {17,28}, {7,35}, {5,52}, {22,30}, {12,30}, {6,30}, {10,29}, {18,25}, {15,52}, {23,51}, {1,25}, {22,50}, {23,35}, {20,30}, {24,38}, {3,32}, {22,45}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {20,47}, {4,50}, {23,47}, {16,30}, {4,34}, {10,25}, {15,35}, {11,32}, {17,52}, {9,52}, {21,32}, {16,26}, {15,40}, {14,37}, {1,44}, {23,27}, {24,35}, {19,44}, {1,48}, {24,43}, {9,41}, {16,31}, {7,39}, {15,39}, {22,41}, {1,32}, {9,44}, {7,52}, {6,37}, {24,27}, {24,51}, {17,25}, {21,49}, {7,40}, {2,41}, {17,41}, {12,50}, {12,43}, {2,26}, {18,41}, {18,30}, {21,52}, {22,38}, {13,44}, {8,27}, {2,45}, {23,52}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {19,39}, {9,28}, {4,27}, {19,43}, {16,46}, {11,47}, {4,46}, {8,43}, {16,38}, {1,33}, {21,33}, {16,27}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {14,30}, {3,28}, {7,31}, {12,39}, {20,27}, {18,49}, {15,47}, {14,49}, {7,51}, {22,33}, {11,31}, {21,44}, {15,48}, {19,35}, {6,26}, {2,50}, {6,41}, {21,29}, {17,40}, {12,34}, {19,36}, {6,42}, {4,35}, {21,48}, {19,32}, {13,33}, {15,51}, {14,25}, {5,49}, {20,34}, {11,28}, {16,35}, {14,42}, {10,34}, {3,40}, {8,35}, {10,45}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {22,46}, {17,37}, {16,39}, {13,28}, {1,28}, {3,27}, {2,38}, {15,36}, {21,36}, {15,31}, {7,44}, {9,49}, {7,43}, {9,40}, {19,51}, {24,42}, {5,44}, {5,25}, {8,39}, {5,36}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {13,52}, {6,50}, {1,37}, {2,42}, {18,42}, {6,33}, {18,34}, {12,51}, {17,49}, {9,48}, {17,48}, {5,48}, {18,37}, {5,33}, {10,49}, {9,37} }; // ETB52.40 // Bipartite(24,28) Valencies [14,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2959380704046549565440000 EdgesBipt[52][39]:={ {15,33}, {6,52}, {18,45}, {11,40}, {6,25}, {19,26}, {4,28}, {5,43}, {8,51}, {8,26}, {22,40}, {1,49}, {13,37}, {14,38}, {11,43}, {14,50}, {2,35}, {3,35}, {20,46}, {14,31}, {15,27}, {24,32}, {21,41}, {24,36}, {6,48}, {19,37}, {3,39}, {16,28}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {2,46}, {24,48}, {10,48}, {23,44}, {24,28}, {6,32}, {17,35}, {4,38}, {3,49}, {11,35}, {10,42}, {6,29}, {11,27}, {20,38}, {2,34}, {20,26}, {12,28}, {12,48}, {16,42}, {18,32}, {16,48}, {4,30}, {8,30}, {9,33}, {20,43}, {7,45}, {8,46}, {17,39}, {7,41}, {23,31}, {13,30}, {23,36}, {11,39}, {6,49}, {10,26}, {22,42}, {7,33}, {12,40}, {23,28}, {20,39}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,29}, {19,42}, {12,37}, {16,34}, {15,45}, {6,44}, {8,38}, {13,26}, {17,47}, {9,47}, {12,52}, {17,36}, {1,38}, {1,26}, {13,41}, {16,40}, {20,42}, {22,34}, {24,37}, {18,29}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {18,36}, {18,33}, {5,27}, {19,46}, {3,43}, {5,28}, {24,41}, {14,46}, {2,39}, {24,40}, {14,35}, {3,47}, {1,42}, {19,38}, {3,31}, {3,51}, {13,49}, {7,37}, {2,30}, {5,35}, {14,34}, {19,49}, {4,32}, {1,30}, {21,45}, {8,50}, {6,36}, {23,39}, {23,40}, {11,36}, {9,51}, {22,48}, {21,47}, {22,26}, {10,36}, {2,51}, {15,37}, {20,51}, {10,38}, {10,46}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {19,30}, {11,48}, {8,47}, {21,37}, {7,46}, {3,29}, {11,52}, {17,31}, {1,41}, {12,41}, {11,44}, {13,45}, {20,31}, {3,25}, {23,48}, {17,28}, {19,45}, {2,43}, {5,52}, {22,30}, {2,27}, {7,50}, {22,44}, {7,34}, {9,31}, {10,44}, {18,25}, {24,25}, {23,51}, {1,25}, {22,50}, {13,50}, {23,35}, {20,30}, {5,39}, {18,44}, {14,27}, {6,45}, {17,44}, {19,41}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {20,47}, {4,50}, {23,47}, {16,30}, {12,45}, {4,34}, {15,35}, {12,29}, {11,32}, {17,52}, {16,26}, {12,25}, {10,52}, {19,50}, {14,43}, {13,38}, {15,49}, {23,27}, {7,49}, {9,41}, {3,41}, {4,36}, {15,39}, {22,52}, {24,29}, {21,39}, {19,29}, {6,37}, {10,28}, {5,31}, {19,34}, {16,44}, {4,44}, {21,49}, {2,26}, {18,41}, {10,40}, {7,29}, {14,47}, {22,38}, {24,49}, {8,27}, {23,52}, {3,33}, {16,36}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {14,51}, {19,33}, {18,28}, {16,46}, {15,29}, {11,47}, {4,46}, {18,52}, {8,43}, {2,31}, {16,38}, {1,33}, {21,33}, {12,36}, {3,45}, {12,44}, {19,25}, {4,42}, {16,50}, {14,30}, {12,33}, {5,47}, {20,27}, {21,35}, {18,49}, {15,47}, {11,31}, {5,51}, {13,34}, {24,52}, {7,25}, {1,34}, {21,43}, {7,42}, {2,50}, {21,27}, {6,41}, {21,29}, {17,40}, {24,44}, {6,28}, {21,51}, {13,33}, {15,51}, {20,34}, {7,26}, {1,50}, {11,28}, {2,47}, {14,42}, {10,34}, {17,27}, {8,35}, {9,45}, {4,26}, {22,46}, {16,52}, {3,27}, {9,27}, {7,38}, {2,38}, {12,32}, {15,31}, {9,49}, {18,40}, {5,44}, {4,52}, {22,36}, {9,43}, {1,46}, {3,37}, {8,39}, {22,32}, {5,36}, {24,33}, {15,43}, {13,46}, {10,32}, {17,32}, {17,43}, {22,28}, {1,37}, {2,42}, {16,32}, {4,48}, {6,33}, {18,48}, {17,48}, {5,48}, {15,25}, {18,37}, {9,37}, {6,40} }; // ETB52.41 // Bipartite(24,28) Valencies [14,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36985305563136 EdgesBipt[52][40]:={ {24,34}, {15,33}, {6,52}, {18,45}, {6,38}, {11,40}, {10,37}, {14,36}, {11,49}, {9,32}, {6,25}, {5,38}, {19,26}, {4,28}, {5,45}, {3,26}, {8,26}, {1,49}, {14,38}, {17,42}, {13,39}, {15,44}, {11,43}, {14,50}, {4,31}, {8,40}, {3,35}, {21,30}, {15,27}, {24,32}, {24,36}, {10,39}, {20,37}, {16,28}, {21,28}, {1,35}, {4,51}, {7,30}, {15,41}, {4,37}, {4,40}, {24,48}, {14,29}, {10,48}, {23,44}, {24,28}, {6,32}, {17,35}, {3,49}, {11,35}, {11,29}, {6,29}, {11,27}, {19,40}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,43}, {16,42}, {16,48}, {15,32}, {8,30}, {20,43}, {8,46}, {24,46}, {17,39}, {8,52}, {21,38}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {7,33}, {12,31}, {19,48}, {12,40}, {20,29}, {3,52}, {13,47}, {24,30}, {2,48}, {15,30}, {22,25}, {19,52}, {24,50}, {13,42}, {9,35}, {1,29}, {12,37}, {16,34}, {6,46}, {18,39}, {24,26}, {8,38}, {14,32}, {2,36}, {20,36}, {16,40}, {20,42}, {10,51}, {1,43}, {9,29}, {9,39}, {8,42}, {18,36}, {22,43}, {3,38}, {3,43}, {5,28}, {14,46}, {2,39}, {9,46}, {24,40}, {1,42}, {7,32}, {19,38}, {3,31}, {1,39}, {13,49}, {7,37}, {6,27}, {2,30}, {5,35}, {19,49}, {17,29}, {8,48}, {2,44}, {21,45}, {19,27}, {8,50}, {12,47}, {6,36}, {23,40}, {18,51}, {9,51}, {21,47}, {10,36}, {14,33}, {2,51}, {15,37}, {20,51}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {11,48}, {7,46}, {3,29}, {11,52}, {4,45}, {1,51}, {22,29}, {20,31}, {13,45}, {4,47}, {11,34}, {17,28}, {21,42}, {7,35}, {19,45}, {5,52}, {2,27}, {4,33}, {10,31}, {10,44}, {18,25}, {17,46}, {23,51}, {1,25}, {22,50}, {23,35}, {13,31}, {5,39}, {24,38}, {18,44}, {14,27}, {19,41}, {8,34}, {14,52}, {9,25}, {15,46}, {10,30}, {20,47}, {4,50}, {23,47}, {16,30}, {12,45}, {10,25}, {15,35}, {12,29}, {16,26}, {15,40}, {14,43}, {13,38}, {15,49}, {23,27}, {18,31}, {7,49}, {1,48}, {3,41}, {4,36}, {22,41}, {4,29}, {1,32}, {22,52}, {21,39}, {19,29}, {6,43}, {8,32}, {22,39}, {5,31}, {17,25}, {19,34}, {16,44}, {21,49}, {7,40}, {2,41}, {12,50}, {12,43}, {18,41}, {23,37}, {18,30}, {14,47}, {21,52}, {22,38}, {8,36}, {13,44}, {2,45}, {6,47}, {3,48}, {16,36}, {10,50}, {20,50}, {23,32}, {9,28}, {3,34}, {19,43}, {16,46}, {2,31}, {16,38}, {11,45}, {20,28}, {18,27}, {21,33}, {12,36}, {3,45}, {7,47}, {2,37}, {4,42}, {16,50}, {10,41}, {12,33}, {5,47}, {17,34}, {21,35}, {15,47}, {7,51}, {22,33}, {11,31}, {20,33}, {21,44}, {19,35}, {24,52}, {11,41}, {1,34}, {22,27}, {13,35}, {2,50}, {6,41}, {23,49}, {24,44}, {8,44}, {23,30}, {13,33}, {15,51}, {23,46}, {14,25}, {5,49}, {7,26}, {20,45}, {23,33}, {10,27}, {10,34}, {3,40}, {10,45}, {18,50}, {14,41}, {4,26}, {22,46}, {17,37}, {13,28}, {1,28}, {16,52}, {3,27}, {5,42}, {7,44}, {8,28}, {9,49}, {24,42}, {20,40}, {5,44}, {5,25}, {15,26}, {22,36}, {9,43}, {22,47}, {1,46}, {22,32}, {9,42}, {23,41}, {9,34}, {17,32}, {23,26}, {13,52}, {17,43}, {6,50}, {1,37}, {16,32}, {6,33}, {18,34}, {18,48}, {17,49}, {12,51}, {11,26}, {9,48}, {17,48}, {18,37}, {5,33}, {5,30}, {11,38}, {9,37} }; // ETB52.42 // Bipartite(24,28) Valencies [14,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 564350976 EdgesBipt[52][41]:={ {24,34}, {15,33}, {10,37}, {11,49}, {9,32}, {6,25}, {16,51}, {5,43}, {8,51}, {8,26}, {17,42}, {15,44}, {11,43}, {4,31}, {8,40}, {3,35}, {10,33}, {14,31}, {21,41}, {24,36}, {10,39}, {14,45}, {19,37}, {20,37}, {21,28}, {5,32}, {1,35}, {4,37}, {4,40}, {20,52}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {23,44}, {13,40}, {2,33}, {17,35}, {6,32}, {4,38}, {3,49}, {11,35}, {11,29}, {6,29}, {11,27}, {10,47}, {20,38}, {2,34}, {19,31}, {22,37}, {21,40}, {1,52}, {2,52}, {23,45}, {8,30}, {16,49}, {7,45}, {5,41}, {17,39}, {12,38}, {23,31}, {12,42}, {6,39}, {6,49}, {10,26}, {7,33}, {12,31}, {19,48}, {12,40}, {23,28}, {17,26}, {13,47}, {24,30}, {2,48}, {22,25}, {24,50}, {16,25}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,29}, {19,42}, {12,37}, {13,51}, {16,34}, {15,45}, {18,39}, {24,26}, {8,38}, {13,26}, {12,52}, {2,29}, {18,47}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {8,49}, {13,41}, {20,36}, {16,40}, {20,42}, {22,34}, {18,29}, {6,34}, {9,29}, {9,39}, {18,26}, {18,36}, {18,33}, {22,43}, {5,27}, {19,46}, {3,43}, {15,28}, {5,28}, {24,41}, {2,39}, {24,40}, {1,42}, {3,31}, {12,27}, {1,39}, {13,49}, {11,42}, {14,34}, {15,50}, {3,36}, {19,49}, {17,29}, {20,25}, {4,32}, {22,49}, {1,30}, {19,27}, {8,50}, {14,28}, {12,47}, {23,39}, {23,40}, {11,36}, {3,30}, {13,48}, {9,51}, {21,47}, {10,36}, {10,38}, {15,34}, {10,46}, {17,51}, {14,39}, {19,30}, {11,48}, {8,41}, {9,38}, {9,26}, {18,38}, {7,46}, {8,45}, {3,29}, {4,45}, {1,51}, {22,29}, {11,44}, {4,47}, {3,44}, {20,31}, {17,28}, {21,42}, {7,35}, {11,46}, {22,30}, {6,30}, {7,50}, {4,33}, {7,34}, {10,29}, {15,52}, {24,25}, {23,51}, {1,25}, {22,31}, {23,35}, {9,30}, {24,38}, {22,45}, {16,41}, {7,28}, {6,45}, {17,44}, {8,34}, {9,25}, {15,46}, {17,30}, {5,40}, {20,47}, {16,30}, {12,45}, {17,38}, {15,35}, {6,31}, {17,52}, {9,52}, {21,32}, {16,26}, {12,25}, {15,40}, {19,50}, {3,42}, {14,43}, {10,52}, {14,37}, {1,44}, {19,44}, {1,48}, {16,45}, {7,39}, {23,34}, {4,36}, {15,39}, {22,41}, {1,32}, {9,44}, {7,52}, {19,29}, {6,43}, {6,37}, {22,39}, {24,27}, {24,51}, {17,25}, {16,44}, {21,49}, {7,40}, {2,41}, {20,32}, {2,26}, {18,41}, {14,47}, {8,36}, {24,49}, {8,27}, {21,46}, {23,52}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {10,50}, {11,30}, {3,50}, {9,28}, {4,27}, {19,43}, {18,52}, {16,38}, {21,33}, {12,36}, {16,27}, {5,26}, {2,37}, {4,42}, {16,50}, {10,41}, {4,25}, {14,30}, {7,31}, {12,33}, {5,47}, {20,27}, {7,51}, {14,49}, {11,31}, {20,33}, {19,35}, {5,51}, {21,43}, {2,50}, {21,27}, {6,41}, {24,44}, {8,44}, {19,36}, {6,28}, {4,35}, {21,48}, {21,51}, {13,33}, {15,51}, {23,46}, {14,25}, {5,49}, {20,45}, {11,37}, {23,33}, {2,47}, {10,34}, {18,50}, {14,41}, {13,28}, {1,28}, {3,27}, {5,42}, {2,38}, {23,50}, {12,32}, {15,31}, {7,44}, {7,43}, {20,40}, {4,52}, {22,47}, {3,37}, {22,32}, {9,42}, {15,43}, {13,46}, {12,35}, {17,32}, {11,50}, {21,26}, {22,28}, {8,25}, {18,34}, {18,48}, {3,46}, {9,48}, {17,48}, {5,48}, {18,37}, {5,33} }; // ETB52.43 // Bipartite(20,32) Valencies [16,10] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 23040 EdgesBipt[52][42]:={ {13,21}, {15,33}, {6,38}, {19,28}, {11,40}, {16,47}, {14,36}, {9,32}, {6,25}, {19,26}, {11,25}, {12,22}, {3,26}, {1,49}, {14,38}, {13,39}, {17,42}, {15,44}, {14,50}, {17,33}, {8,40}, {8,21}, {14,31}, {3,23}, {8,23}, {1,21}, {14,45}, {6,48}, {3,39}, {16,37}, {20,37}, {16,28}, {1,35}, {7,30}, {4,37}, {4,40}, {20,52}, {2,46}, {13,43}, {13,27}, {16,21}, {19,21}, {14,44}, {6,32}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {10,47}, {19,40}, {2,34}, {2,25}, {12,48}, {4,43}, {16,42}, {1,52}, {16,48}, {18,32}, {15,32}, {16,49}, {9,33}, {20,43}, {5,41}, {12,38}, {20,49}, {7,27}, {19,22}, {12,42}, {6,39}, {7,33}, {12,31}, {19,48}, {20,29}, {17,26}, {13,47}, {13,24}, {1,24}, {2,48}, {15,30}, {20,39}, {5,37}, {13,42}, {12,37}, {16,34}, {15,45}, {10,35}, {18,39}, {13,26}, {17,36}, {2,29}, {5,34}, {18,47}, {18,46}, {1,26}, {2,36}, {8,49}, {13,41}, {20,36}, {20,42}, {10,51}, {8,22}, {9,36}, {12,49}, {9,39}, {8,42}, {4,22}, {6,51}, {5,27}, {19,46}, {5,28}, {14,46}, {2,39}, {14,35}, {3,47}, {1,42}, {7,32}, {12,24}, {19,38}, {3,31}, {12,27}, {3,51}, {7,37}, {5,35}, {4,21}, {17,29}, {8,48}, {4,32}, {2,44}, {1,30}, {19,27}, {8,50}, {14,28}, {11,21}, {12,47}, {6,36}, {16,29}, {11,36}, {3,30}, {1,47}, {11,23}, {3,24}, {10,38}, {10,46}, {18,22}, {13,25}, {17,51}, {8,24}, {4,41}, {8,41}, {9,26}, {18,38}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {4,45}, {1,51}, {15,23}, {12,41}, {9,22}, {20,31}, {3,25}, {19,24}, {11,34}, {7,35}, {11,46}, {2,43}, {5,52}, {2,27}, {6,30}, {4,33}, {1,22}, {9,31}, {10,44}, {10,29}, {15,52}, {20,30}, {9,30}, {18,44}, {16,41}, {6,45}, {20,44}, {19,41}, {13,29}, {8,34}, {15,46}, {5,40}, {20,47}, {6,22}, {4,34}, {10,25}, {11,32}, {15,24}, {16,26}, {15,40}, {10,52}, {14,37}, {14,40}, {4,36}, {15,39}, {7,52}, {6,43}, {5,31}, {17,25}, {4,44}, {2,41}, {17,41}, {5,23}, {12,43}, {18,21}, {10,21}, {7,29}, {18,30}, {9,23}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {1,45}, {10,50}, {20,50}, {14,51}, {11,30}, {3,50}, {19,33}, {9,28}, {18,28}, {5,24}, {18,24}, {18,52}, {2,31}, {16,38}, {11,45}, {1,33}, {18,27}, {16,27}, {12,44}, {19,25}, {7,47}, {4,42}, {5,29}, {16,50}, {10,41}, {14,30}, {3,28}, {7,31}, {12,33}, {12,39}, {7,51}, {14,49}, {19,35}, {13,34}, {6,26}, {2,50}, {17,40}, {20,23}, {8,44}, {6,42}, {4,35}, {19,32}, {13,33}, {15,51}, {5,49}, {20,34}, {7,26}, {20,45}, {11,28}, {1,23}, {16,35}, {10,24}, {13,23}, {10,45}, {2,40}, {6,21}, {15,22}, {17,45}, {18,50}, {1,28}, {3,27}, {9,27}, {7,38}, {2,38}, {10,43}, {15,31}, {8,28}, {7,43}, {9,40}, {19,51}, {5,44}, {17,23}, {4,52}, {8,39}, {14,22}, {9,42}, {9,34}, {15,43}, {7,36}, {11,50}, {13,52}, {17,43}, {6,50}, {14,48}, {1,37}, {8,25}, {2,32}, {18,34}, {12,51}, {17,49}, {11,26}, {3,46}, {9,48}, {17,48}, {15,25}, {5,33}, {18,37}, {10,49}, {9,37} }; // ETB52.44 // Bipartite(20,32) Valencies [16,10] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 61440 EdgesBipt[52][43]:={ {6,52}, {18,45}, {6,38}, {19,28}, {11,40}, {10,37}, {14,36}, {11,49}, {9,32}, {6,25}, {16,51}, {11,25}, {4,28}, {5,43}, {8,51}, {5,45}, {12,22}, {13,37}, {14,38}, {13,39}, {11,43}, {17,33}, {4,31}, {8,40}, {20,46}, {10,33}, {14,31}, {15,27}, {2,49}, {8,23}, {1,21}, {3,21}, {16,37}, {3,39}, {20,37}, {16,28}, {1,35}, {4,51}, {8,31}, {4,37}, {13,27}, {14,29}, {10,48}, {16,21}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {11,35}, {10,42}, {6,29}, {10,47}, {20,38}, {20,26}, {2,25}, {4,43}, {1,52}, {18,32}, {15,32}, {8,30}, {12,46}, {7,45}, {8,46}, {8,37}, {5,41}, {17,39}, {8,52}, {12,38}, {7,41}, {20,49}, {12,26}, {13,30}, {6,39}, {10,26}, {19,48}, {1,24}, {13,24}, {2,48}, {15,30}, {20,39}, {19,52}, {18,35}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {16,34}, {6,44}, {4,23}, {17,47}, {12,52}, {5,34}, {1,26}, {13,41}, {16,40}, {8,22}, {18,29}, {1,43}, {9,29}, {9,39}, {18,26}, {18,36}, {5,27}, {14,46}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {12,27}, {19,47}, {1,39}, {11,42}, {5,35}, {15,50}, {3,36}, {8,48}, {4,32}, {2,44}, {1,30}, {11,21}, {12,47}, {18,51}, {16,29}, {11,36}, {3,30}, {13,48}, {9,51}, {11,23}, {3,24}, {10,36}, {2,51}, {14,23}, {18,22}, {11,48}, {8,24}, {9,38}, {14,21}, {3,29}, {2,23}, {20,22}, {11,44}, {13,45}, {20,31}, {3,25}, {19,24}, {17,28}, {7,35}, {2,27}, {7,50}, {7,34}, {9,31}, {10,44}, {15,52}, {17,46}, {13,50}, {20,30}, {18,44}, {16,41}, {19,41}, {14,52}, {9,25}, {17,30}, {10,22}, {10,30}, {4,50}, {12,45}, {6,22}, {4,34}, {17,38}, {12,29}, {6,31}, {15,24}, {17,52}, {10,52}, {3,42}, {14,43}, {3,22}, {15,49}, {18,31}, {19,44}, {7,49}, {9,41}, {16,45}, {7,39}, {3,41}, {15,39}, {19,29}, {6,37}, {9,24}, {17,25}, {19,34}, {16,44}, {4,44}, {2,41}, {17,41}, {5,23}, {17,50}, {10,21}, {7,29}, {14,47}, {7,21}, {8,36}, {8,27}, {2,45}, {5,46}, {3,33}, {16,36}, {13,32}, {14,26}, {10,50}, {20,50}, {14,51}, {11,30}, {19,33}, {9,28}, {4,27}, {19,43}, {16,46}, {5,24}, {2,22}, {18,24}, {16,38}, {3,45}, {5,26}, {19,25}, {7,47}, {12,33}, {8,33}, {12,39}, {5,47}, {17,34}, {20,27}, {18,49}, {15,47}, {14,49}, {11,31}, {15,48}, {5,51}, {13,34}, {11,41}, {15,42}, {1,34}, {13,35}, {7,42}, {2,50}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {16,23}, {6,42}, {4,35}, {19,32}, {13,33}, {14,25}, {5,49}, {7,26}, {20,45}, {11,28}, {2,47}, {16,35}, {10,34}, {16,33}, {3,40}, {17,27}, {10,45}, {2,40}, {6,21}, {15,22}, {4,26}, {13,28}, {1,28}, {9,27}, {7,38}, {2,38}, {12,32}, {15,31}, {7,44}, {8,28}, {9,49}, {7,43}, {18,40}, {9,40}, {19,51}, {20,40}, {17,23}, {10,23}, {15,26}, {4,52}, {9,43}, {1,46}, {14,22}, {5,36}, {15,43}, {11,50}, {17,43}, {6,50}, {20,21}, {1,37}, {8,25}, {18,42}, {4,48}, {6,33}, {2,32}, {12,51}, {18,48}, {3,46}, {5,48}, {15,25}, {18,37}, {5,30}, {6,40} }; // ETB52.45 // Bipartite(20,32) Valencies [16,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4384267709698591948800000000 EdgesBipt[52][44]:={ {13,21}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {9,32}, {6,25}, {16,51}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {16,22}, {14,38}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {3,35}, {20,46}, {10,33}, {15,27}, {2,49}, {3,23}, {8,23}, {1,21}, {14,45}, {3,39}, {5,32}, {4,51}, {8,31}, {2,46}, {14,29}, {13,40}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {2,25}, {4,43}, {16,42}, {1,52}, {15,32}, {4,30}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {5,41}, {12,38}, {12,26}, {7,27}, {12,42}, {11,39}, {6,49}, {10,26}, {12,31}, {3,52}, {19,48}, {1,24}, {13,24}, {12,23}, {20,39}, {5,37}, {19,52}, {20,35}, {1,36}, {1,29}, {16,34}, {6,46}, {16,43}, {4,23}, {8,38}, {17,36}, {2,29}, {18,46}, {13,41}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {18,26}, {4,22}, {18,33}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {7,32}, {3,31}, {12,27}, {19,47}, {3,51}, {13,49}, {2,30}, {14,34}, {3,36}, {19,23}, {17,29}, {19,27}, {8,50}, {12,47}, {11,36}, {13,48}, {11,23}, {3,24}, {14,33}, {20,51}, {10,38}, {10,46}, {18,22}, {13,25}, {11,48}, {8,47}, {14,21}, {18,38}, {11,52}, {13,36}, {1,41}, {20,22}, {15,23}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {19,24}, {17,28}, {7,35}, {5,52}, {12,30}, {6,30}, {11,24}, {10,29}, {18,25}, {15,52}, {1,25}, {20,30}, {3,32}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {20,47}, {4,50}, {16,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {11,32}, {15,24}, {17,52}, {9,52}, {16,26}, {15,40}, {14,37}, {1,44}, {19,44}, {1,48}, {9,41}, {16,31}, {7,39}, {15,39}, {1,32}, {9,44}, {7,52}, {6,37}, {7,24}, {9,24}, {17,25}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {2,26}, {18,41}, {18,21}, {10,21}, {9,21}, {18,30}, {13,44}, {8,27}, {2,45}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {19,39}, {9,28}, {2,21}, {4,27}, {19,43}, {16,46}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {16,38}, {1,33}, {16,27}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {14,30}, {3,28}, {7,31}, {12,39}, {20,27}, {18,49}, {15,47}, {14,49}, {7,51}, {11,31}, {15,48}, {19,35}, {6,26}, {5,21}, {2,50}, {6,41}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {16,23}, {6,42}, {4,35}, {19,32}, {13,33}, {15,51}, {14,25}, {5,49}, {20,34}, {11,28}, {16,35}, {14,42}, {10,34}, {3,40}, {8,35}, {10,45}, {6,21}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {3,27}, {2,38}, {15,36}, {15,31}, {7,44}, {9,49}, {7,43}, {9,40}, {19,51}, {5,44}, {5,25}, {8,39}, {14,22}, {5,36}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {13,52}, {6,50}, {1,37}, {2,42}, {18,42}, {6,33}, {18,34}, {12,51}, {17,49}, {9,48}, {5,48}, {17,48}, {5,33}, {18,37}, {10,49}, {9,37} }; // ETB52.46 // Bipartite(20,32) Valencies [16,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 128849018880 EdgesBipt[52][45]:={ {13,21}, {6,52}, {19,28}, {11,40}, {16,47}, {14,36}, {11,49}, {9,32}, {6,25}, {19,26}, {8,51}, {12,22}, {3,26}, {1,49}, {13,37}, {1,40}, {13,39}, {15,44}, {2,35}, {17,33}, {4,31}, {10,33}, {14,31}, {3,23}, {1,21}, {3,21}, {6,48}, {3,39}, {19,37}, {16,28}, {1,35}, {4,51}, {7,30}, {15,41}, {8,31}, {4,40}, {20,52}, {13,43}, {13,27}, {10,48}, {19,21}, {13,40}, {6,32}, {11,35}, {6,29}, {20,38}, {2,34}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {18,32}, {4,30}, {8,30}, {9,33}, {20,43}, {7,45}, {8,46}, {20,24}, {5,41}, {8,52}, {12,38}, {7,41}, {20,49}, {12,26}, {19,22}, {12,42}, {11,39}, {7,33}, {12,31}, {19,48}, {20,29}, {1,24}, {13,24}, {2,48}, {15,30}, {12,23}, {5,37}, {18,35}, {16,25}, {13,42}, {20,35}, {19,42}, {16,43}, {10,35}, {6,44}, {4,23}, {13,26}, {5,50}, {17,36}, {5,34}, {18,47}, {1,38}, {18,46}, {13,41}, {8,49}, {20,36}, {10,51}, {9,29}, {11,51}, {18,33}, {18,36}, {3,38}, {3,43}, {15,28}, {5,28}, {14,46}, {2,39}, {14,35}, {19,38}, {12,27}, {11,22}, {1,39}, {7,37}, {6,27}, {15,50}, {19,49}, {17,29}, {8,48}, {1,30}, {8,50}, {11,21}, {12,47}, {6,36}, {18,51}, {16,29}, {11,23}, {3,24}, {10,36}, {2,51}, {15,37}, {20,51}, {14,23}, {10,38}, {15,34}, {11,33}, {13,25}, {14,39}, {8,47}, {4,41}, {9,38}, {9,26}, {7,46}, {3,29}, {2,23}, {20,22}, {1,51}, {15,23}, {9,22}, {4,47}, {13,45}, {3,25}, {11,34}, {17,28}, {19,45}, {11,46}, {2,43}, {2,27}, {1,22}, {11,24}, {10,29}, {17,46}, {13,22}, {5,39}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {14,52}, {8,34}, {15,46}, {17,30}, {10,22}, {6,31}, {17,52}, {16,26}, {10,52}, {3,42}, {14,43}, {19,50}, {3,22}, {13,38}, {18,31}, {19,44}, {14,40}, {7,49}, {16,31}, {16,45}, {3,41}, {4,36}, {15,39}, {9,44}, {7,52}, {19,29}, {6,43}, {8,32}, {7,24}, {5,31}, {17,25}, {20,48}, {19,34}, {16,44}, {7,40}, {12,50}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {10,40}, {9,21}, {7,29}, {14,47}, {18,30}, {7,21}, {8,36}, {5,46}, {6,47}, {16,36}, {14,51}, {11,30}, {19,33}, {9,28}, {4,27}, {18,28}, {2,22}, {4,46}, {18,52}, {2,31}, {1,33}, {16,27}, {3,45}, {5,26}, {4,25}, {14,30}, {8,33}, {12,39}, {5,47}, {20,27}, {18,49}, {15,47}, {20,33}, {14,24}, {7,25}, {9,50}, {6,26}, {15,42}, {1,34}, {5,21}, {2,50}, {6,41}, {17,24}, {17,40}, {12,34}, {17,21}, {8,44}, {6,28}, {6,42}, {4,35}, {19,32}, {15,21}, {14,25}, {20,45}, {1,50}, {11,37}, {2,47}, {1,23}, {10,24}, {10,27}, {3,40}, {13,23}, {10,45}, {8,35}, {17,45}, {9,45}, {14,41}, {18,50}, {17,37}, {16,52}, {3,27}, {5,42}, {2,38}, {12,32}, {10,43}, {15,31}, {7,44}, {8,28}, {9,49}, {20,40}, {5,44}, {5,25}, {15,26}, {4,52}, {1,46}, {3,37}, {9,42}, {9,34}, {10,32}, {4,39}, {12,35}, {7,36}, {11,50}, {1,37}, {2,42}, {16,32}, {2,32}, {18,34}, {12,51}, {17,49}, {18,48}, {9,48}, {15,25}, {5,30}, {11,38}, {10,49}, {9,37} }; // ETB52.47 // Bipartite(20,32) Valencies [16,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[52][46]:={ {13,21}, {15,33}, {6,52}, {18,45}, {19,28}, {11,40}, {10,37}, {15,38}, {9,32}, {5,38}, {11,25}, {5,43}, {8,51}, {5,45}, {3,26}, {13,37}, {1,40}, {14,38}, {17,42}, {17,33}, {8,40}, {3,35}, {20,46}, {3,23}, {1,21}, {14,45}, {3,21}, {6,48}, {16,37}, {19,37}, {20,37}, {16,28}, {4,51}, {7,30}, {20,52}, {13,27}, {14,29}, {19,21}, {6,32}, {17,35}, {4,38}, {11,29}, {11,27}, {10,47}, {19,40}, {2,34}, {19,31}, {12,48}, {16,42}, {16,48}, {2,52}, {4,30}, {16,49}, {9,33}, {8,46}, {20,24}, {8,52}, {20,49}, {12,26}, {13,30}, {7,27}, {19,22}, {11,39}, {6,49}, {7,33}, {12,31}, {20,29}, {1,24}, {13,24}, {2,48}, {15,30}, {12,23}, {20,35}, {1,29}, {12,37}, {16,34}, {16,43}, {10,35}, {15,45}, {6,44}, {18,39}, {8,38}, {13,26}, {9,47}, {12,52}, {4,49}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {13,41}, {8,49}, {10,51}, {9,36}, {6,34}, {11,51}, {9,39}, {8,42}, {18,33}, {18,36}, {15,28}, {5,28}, {14,46}, {20,41}, {2,39}, {14,35}, {7,32}, {12,24}, {3,31}, {19,47}, {11,22}, {1,39}, {14,34}, {19,23}, {8,48}, {8,50}, {11,21}, {12,47}, {6,36}, {18,51}, {3,30}, {1,47}, {2,24}, {11,23}, {3,24}, {2,51}, {20,51}, {15,34}, {10,46}, {11,33}, {13,25}, {8,47}, {4,41}, {18,38}, {7,46}, {8,45}, {3,29}, {2,23}, {20,22}, {4,45}, {1,51}, {15,23}, {12,41}, {9,22}, {3,25}, {19,24}, {17,28}, {7,35}, {11,46}, {2,43}, {6,30}, {1,22}, {11,24}, {9,31}, {10,44}, {10,29}, {17,46}, {13,22}, {1,25}, {13,31}, {5,39}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {20,44}, {17,44}, {13,29}, {14,52}, {17,30}, {10,22}, {20,47}, {16,30}, {12,45}, {4,34}, {17,38}, {12,29}, {6,31}, {10,52}, {19,50}, {3,22}, {19,44}, {7,49}, {16,31}, {3,41}, {15,39}, {4,29}, {9,44}, {6,43}, {6,37}, {9,24}, {5,31}, {17,22}, {17,25}, {16,44}, {7,40}, {2,41}, {12,50}, {5,23}, {12,43}, {20,32}, {2,26}, {10,40}, {9,21}, {9,23}, {7,21}, {8,36}, {2,45}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {14,51}, {19,33}, {19,39}, {9,28}, {3,34}, {4,27}, {19,43}, {11,47}, {4,46}, {18,52}, {8,43}, {2,31}, {11,45}, {1,33}, {5,26}, {2,37}, {4,42}, {16,50}, {10,41}, {4,25}, {14,30}, {3,28}, {8,33}, {12,39}, {20,27}, {18,49}, {14,49}, {15,48}, {13,34}, {7,25}, {9,50}, {7,22}, {15,42}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {17,40}, {12,34}, {17,21}, {8,44}, {19,36}, {6,28}, {6,42}, {4,35}, {19,32}, {18,43}, {15,21}, {14,25}, {2,47}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {13,23}, {17,27}, {14,41}, {18,50}, {4,26}, {13,28}, {16,52}, {3,27}, {7,38}, {5,42}, {15,36}, {15,31}, {7,44}, {18,40}, {9,40}, {20,40}, {1,27}, {5,25}, {15,26}, {4,52}, {9,43}, {1,46}, {3,37}, {8,39}, {5,36}, {15,43}, {10,32}, {7,36}, {6,35}, {17,32}, {6,50}, {14,48}, {18,42}, {16,32}, {4,48}, {12,51}, {17,49}, {18,48}, {11,26}, {5,48}, {15,25}, {5,33}, {5,30}, {11,38}, {10,49}, {9,37} }; // ETB52.48 // Bipartite(20,32) Valencies [16,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 125829120 EdgesBipt[52][47]:={ {13,21}, {15,33}, {18,45}, {11,40}, {16,47}, {9,32}, {6,25}, {19,26}, {8,51}, {5,45}, {12,22}, {13,37}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {14,50}, {4,31}, {3,35}, {10,33}, {8,21}, {2,49}, {3,23}, {8,23}, {1,21}, {14,45}, {16,37}, {3,39}, {16,28}, {5,32}, {1,35}, {4,37}, {2,46}, {14,29}, {16,21}, {13,40}, {2,33}, {17,35}, {11,35}, {6,29}, {11,27}, {20,38}, {20,26}, {2,25}, {4,43}, {1,52}, {18,32}, {4,30}, {16,49}, {12,46}, {9,33}, {20,43}, {8,37}, {8,52}, {12,38}, {7,41}, {20,49}, {12,26}, {7,27}, {12,42}, {11,39}, {12,31}, {19,48}, {20,29}, {13,47}, {13,24}, {2,48}, {15,30}, {12,23}, {20,39}, {19,52}, {13,42}, {1,36}, {1,29}, {19,42}, {16,34}, {6,46}, {16,43}, {10,35}, {6,44}, {8,38}, {13,26}, {17,47}, {5,50}, {4,49}, {6,24}, {17,36}, {5,34}, {18,47}, {1,26}, {8,49}, {16,40}, {20,42}, {10,51}, {8,22}, {18,29}, {9,36}, {1,43}, {9,29}, {11,51}, {18,36}, {3,38}, {19,46}, {15,28}, {5,28}, {14,46}, {2,39}, {1,42}, {12,27}, {3,51}, {7,37}, {6,27}, {2,30}, {5,35}, {14,34}, {19,23}, {4,21}, {8,48}, {4,32}, {8,50}, {12,47}, {11,36}, {13,48}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {18,22}, {17,51}, {11,48}, {19,30}, {14,21}, {18,38}, {3,29}, {11,52}, {17,31}, {2,23}, {20,22}, {1,51}, {15,23}, {11,44}, {13,45}, {4,47}, {3,44}, {3,25}, {19,45}, {12,30}, {6,30}, {4,33}, {11,24}, {10,44}, {18,25}, {17,46}, {13,50}, {13,31}, {6,45}, {20,44}, {19,41}, {13,29}, {8,34}, {9,25}, {15,46}, {17,30}, {10,22}, {10,30}, {7,23}, {10,25}, {15,35}, {6,31}, {11,32}, {15,24}, {17,52}, {9,52}, {15,40}, {10,52}, {3,22}, {14,37}, {1,44}, {15,49}, {18,31}, {9,41}, {16,31}, {7,39}, {3,41}, {4,36}, {15,39}, {9,44}, {7,52}, {19,29}, {6,43}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,25}, {20,48}, {16,44}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {20,32}, {17,50}, {18,41}, {9,21}, {7,21}, {8,36}, {5,46}, {6,47}, {13,32}, {14,26}, {1,45}, {3,50}, {19,39}, {9,28}, {3,34}, {4,27}, {2,22}, {11,47}, {4,46}, {18,52}, {2,31}, {16,38}, {18,27}, {20,28}, {16,27}, {3,45}, {19,25}, {4,42}, {5,29}, {16,50}, {10,41}, {14,30}, {3,28}, {8,33}, {12,39}, {5,47}, {17,34}, {20,27}, {14,49}, {11,31}, {20,33}, {19,35}, {5,51}, {13,34}, {7,25}, {7,22}, {6,26}, {15,42}, {1,34}, {7,42}, {6,41}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {6,28}, {6,42}, {19,32}, {18,43}, {15,51}, {15,21}, {14,25}, {5,49}, {7,26}, {20,45}, {1,50}, {11,28}, {2,47}, {14,42}, {10,27}, {16,33}, {3,40}, {13,23}, {8,35}, {2,40}, {9,45}, {14,41}, {18,50}, {4,26}, {17,37}, {1,28}, {16,24}, {7,38}, {2,38}, {10,43}, {9,49}, {7,43}, {9,40}, {19,51}, {1,27}, {5,44}, {15,26}, {4,52}, {8,39}, {14,22}, {12,35}, {7,36}, {1,37}, {4,48}, {2,32}, {18,34}, {12,51}, {18,48}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB52.49 // Bipartite(13,39) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1018734133248 EdgesBipt[52][48]:={ {6,48}, {8,48}, {2,44}, {11,17}, {2,24}, {5,17}, {11,36}, {4,27}, {13,21}, {7,15}, {13,40}, {4,26}, {3,40}, {4,16}, {12,45}, {7,48}, {6,17}, {2,23}, {9,45}, {5,38}, {12,22}, {12,32}, {8,42}, {8,28}, {4,29}, {3,45}, {1,27}, {3,25}, {10,23}, {7,41}, {1,40}, {2,15}, {9,44}, {7,22}, {12,39}, {4,31}, {8,52}, {9,49}, {10,33}, {5,20}, {3,37}, {2,26}, {8,39}, {7,34}, {12,35}, {10,44}, {2,41}, {13,47}, {2,28}, {1,30}, {5,32}, {8,15}, {12,37}, {12,50}, {11,50}, {10,15}, {10,22}, {6,22}, {3,18}, {8,16}, {10,48}, {6,31}, {1,38}, {1,17}, {2,36}, {9,47}, {3,14}, {9,32}, {9,26}, {12,20}, {8,41}, {8,47}, {12,46}, {9,19}, {11,49}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {7,32}, {10,41}, {7,43}, {10,28}, {1,22}, {1,51}, {3,44}, {6,30}, {4,47}, {6,43}, {4,33}, {4,21}, {10,29}, {10,31}, {9,34}, {3,51}, {13,49}, {6,18}, {4,52}, {1,29}, {7,30}, {3,32}, {11,21}, {9,25}, {6,33}, {13,33}, {6,50}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {6,44}, {7,17}, {6,46}, {11,30}, {5,46}, {13,23}, {8,22}, {13,25}, {8,35}, {10,42}, {13,28}, {7,14}, {3,50}, {3,27}, {9,51}, {10,46}, {3,29}, {1,43}, {4,46}, {8,37}, {5,28}, {13,36}, {8,26}, {12,26}, {12,33}, {5,41}, {2,17}, {6,51}, {7,47}, {12,27}, {8,21}, {1,42}, {3,19}, {11,24}, {1,49}, {12,19}, {12,40}, {12,14}, {1,25}, {5,51}, {13,15}, {13,27}, {1,35}, {13,46}, {5,39}, {7,28}, {3,16}, {4,40}, {10,35}, {11,16}, {8,34}, {5,33}, {9,18}, {3,24}, {11,37}, {4,34}, {1,16}, {10,36}, {4,14}, {8,50}, {13,51}, {11,32}, {10,18}, {8,24}, {6,25}, {10,49}, {13,41}, {6,38}, {2,31}, {9,36}, {12,52}, {13,14}, {11,47}, {5,26}, {3,42}, {4,18}, {9,39}, {13,38}, {9,38}, {11,19}, {12,48}, {3,38}, {9,52}, {4,20}, {11,45}, {12,24}, {7,27}, {7,45}, {5,45}, {1,48}, {3,31}, {1,14}, {10,20}, {5,15}, {6,37}, {11,34}, {13,34}, {5,19}, {6,20}, {7,35}, {11,43}, {2,30}, {13,20}, {2,18}, {9,31}, {7,19}, {2,43}, {6,35}, {9,21}, {11,42}, {4,39}, {7,40}, {4,44}, {9,23}, {7,21}, {8,29}, {5,52}, {1,36}, {2,50}, {2,49}, {10,16} }; // ETB52.50 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 4608 EdgesBipt[52][49]:={ {13,21}, {16,47}, {15,38}, {5,38}, {10,18}, {16,51}, {5,43}, {13,37}, {1,40}, {14,38}, {15,44}, {11,43}, {2,35}, {15,27}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {14,45}, {3,39}, {8,31}, {4,37}, {2,46}, {13,27}, {16,21}, {13,40}, {2,33}, {6,32}, {4,38}, {3,49}, {6,29}, {11,27}, {1,20}, {10,17}, {12,28}, {4,43}, {1,52}, {8,30}, {16,49}, {12,46}, {9,33}, {1,17}, {8,37}, {12,20}, {5,41}, {8,52}, {12,38}, {13,30}, {6,39}, {11,39}, {6,49}, {10,26}, {12,31}, {3,52}, {12,40}, {12,23}, {16,25}, {9,35}, {15,19}, {6,18}, {12,37}, {16,34}, {6,46}, {15,45}, {16,43}, {6,44}, {11,18}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {8,49}, {13,41}, {16,40}, {10,51}, {8,22}, {9,36}, {12,49}, {11,51}, {8,42}, {9,20}, {4,22}, {8,19}, {5,27}, {15,28}, {14,46}, {4,18}, {9,46}, {14,35}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {11,22}, {1,39}, {13,49}, {2,30}, {11,42}, {14,34}, {4,21}, {8,48}, {13,17}, {12,47}, {3,30}, {2,24}, {3,24}, {14,33}, {15,37}, {11,33}, {14,39}, {11,48}, {8,24}, {4,41}, {9,38}, {8,41}, {7,46}, {8,45}, {11,52}, {12,17}, {13,36}, {4,45}, {1,51}, {15,23}, {9,19}, {4,47}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {2,43}, {5,52}, {6,30}, {7,50}, {4,33}, {11,24}, {5,19}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {13,50}, {13,31}, {4,17}, {3,32}, {16,41}, {7,28}, {6,45}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {16,30}, {6,22}, {15,35}, {12,29}, {11,32}, {12,25}, {10,52}, {3,42}, {14,43}, {1,44}, {1,48}, {6,23}, {16,31}, {15,17}, {7,39}, {4,36}, {15,39}, {4,29}, {6,37}, {10,28}, {9,24}, {5,31}, {6,20}, {7,40}, {2,41}, {12,50}, {10,40}, {10,21}, {7,29}, {14,47}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {16,36}, {14,26}, {10,50}, {14,51}, {11,30}, {3,50}, {3,34}, {2,21}, {4,27}, {16,46}, {15,29}, {2,22}, {11,45}, {12,36}, {5,26}, {7,47}, {2,37}, {16,50}, {10,41}, {3,28}, {8,33}, {5,47}, {7,51}, {15,48}, {14,24}, {5,51}, {11,41}, {7,25}, {1,34}, {15,42}, {14,18}, {5,21}, {2,50}, {8,44}, {6,28}, {6,42}, {4,35}, {14,20}, {14,25}, {7,26}, {7,18}, {2,47}, {1,23}, {14,42}, {15,18}, {10,27}, {5,17}, {16,33}, {3,40}, {7,17}, {13,23}, {15,22}, {9,45}, {4,26}, {15,20}, {13,28}, {1,28}, {16,24}, {16,52}, {7,20}, {7,38}, {10,43}, {9,49}, {7,43}, {1,27}, {5,25}, {15,26}, {4,19}, {9,42}, {5,36}, {9,34}, {10,32}, {12,35}, {6,35}, {12,19}, {13,52}, {6,50}, {14,48}, {4,48}, {16,32}, {2,32}, {12,21}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {9,37} }; // ETB52.51 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46024288709331938841722880000 EdgesBipt[52][50]:={ {13,21}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {9,32}, {6,25}, {9,17}, {10,18}, {16,51}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {15,44}, {11,43}, {14,50}, {4,31}, {3,35}, {10,33}, {3,19}, {15,27}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {14,45}, {3,39}, {5,32}, {4,51}, {8,31}, {2,46}, {14,29}, {13,40}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {10,17}, {2,25}, {4,43}, {16,42}, {1,52}, {15,32}, {4,30}, {8,30}, {12,46}, {9,33}, {1,17}, {8,46}, {5,41}, {12,38}, {12,26}, {7,27}, {12,42}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {1,24}, {13,24}, {12,23}, {5,37}, {13,20}, {1,36}, {15,19}, {1,29}, {6,18}, {16,34}, {6,46}, {16,43}, {4,23}, {8,38}, {2,29}, {13,41}, {8,22}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {9,20}, {4,22}, {8,19}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {8,18}, {4,18}, {3,47}, {7,32}, {3,31}, {12,27}, {3,51}, {13,49}, {2,30}, {14,34}, {3,36}, {13,17}, {7,19}, {16,18}, {8,50}, {12,47}, {11,36}, {13,48}, {11,23}, {3,24}, {14,33}, {10,38}, {10,46}, {13,25}, {11,48}, {8,47}, {14,21}, {11,52}, {13,36}, {1,41}, {15,23}, {11,44}, {13,45}, {4,47}, {3,44}, {7,35}, {5,52}, {12,30}, {6,30}, {11,24}, {10,29}, {15,52}, {1,25}, {3,32}, {7,28}, {6,45}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {11,32}, {15,24}, {9,52}, {16,26}, {15,40}, {14,37}, {1,44}, {1,48}, {9,41}, {16,31}, {7,39}, {15,39}, {1,32}, {9,44}, {7,52}, {6,37}, {7,24}, {9,24}, {7,40}, {2,41}, {12,50}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {13,44}, {8,27}, {2,45}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {9,28}, {2,21}, {4,27}, {16,46}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {16,38}, {1,33}, {16,27}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {14,30}, {3,28}, {7,31}, {11,19}, {12,39}, {7,51}, {14,49}, {15,47}, {11,31}, {15,48}, {6,26}, {14,18}, {5,21}, {2,50}, {6,41}, {12,34}, {6,42}, {16,23}, {4,35}, {13,33}, {15,51}, {14,25}, {5,49}, {11,28}, {16,35}, {11,20}, {14,42}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {6,21}, {9,45}, {14,41}, {4,26}, {15,20}, {16,39}, {13,28}, {1,28}, {3,27}, {7,20}, {2,38}, {15,36}, {15,31}, {7,44}, {9,49}, {7,43}, {9,40}, {5,44}, {5,25}, {4,19}, {14,22}, {8,39}, {14,17}, {5,36}, {16,19}, {15,43}, {4,39}, {12,35}, {7,36}, {12,19}, {13,52}, {6,50}, {1,37}, {2,42}, {6,33}, {12,51}, {9,48}, {5,48}, {5,33}, {10,49}, {9,37} }; // ETB52.52 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1109305553370218496000000 EdgesBipt[52][51]:={ {15,33}, {7,48}, {6,38}, {14,36}, {11,49}, {5,22}, {10,18}, {9,17}, {16,51}, {11,25}, {4,28}, {5,43}, {8,51}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {11,43}, {14,50}, {2,35}, {8,40}, {8,21}, {3,19}, {15,27}, {1,19}, {2,18}, {3,21}, {6,48}, {3,39}, {16,28}, {1,35}, {4,51}, {7,30}, {4,40}, {13,43}, {14,29}, {10,48}, {16,21}, {13,40}, {14,44}, {6,32}, {4,38}, {3,49}, {10,42}, {6,29}, {11,27}, {3,18}, {10,47}, {10,17}, {12,28}, {1,52}, {12,46}, {1,17}, {7,45}, {8,46}, {12,20}, {5,41}, {8,52}, {12,38}, {12,26}, {7,27}, {11,39}, {10,26}, {2,17}, {7,33}, {12,40}, {10,20}, {13,47}, {2,48}, {15,30}, {5,37}, {9,35}, {15,19}, {1,29}, {6,18}, {16,34}, {10,35}, {15,45}, {6,44}, {11,18}, {8,38}, {9,47}, {12,52}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {1,43}, {9,29}, {11,51}, {4,22}, {3,43}, {6,17}, {5,28}, {9,46}, {14,35}, {1,31}, {3,31}, {12,27}, {3,51}, {13,49}, {7,37}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {13,17}, {7,19}, {4,32}, {2,44}, {8,50}, {11,21}, {6,36}, {11,36}, {3,30}, {1,47}, {2,24}, {3,24}, {10,36}, {15,37}, {14,23}, {10,38}, {11,33}, {13,25}, {11,48}, {8,45}, {1,41}, {2,23}, {4,45}, {9,22}, {9,19}, {3,25}, {5,52}, {6,30}, {4,33}, {1,22}, {11,24}, {5,19}, {9,31}, {10,44}, {10,29}, {13,22}, {1,25}, {2,20}, {13,31}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {4,50}, {12,45}, {4,34}, {15,24}, {9,52}, {16,26}, {3,42}, {15,49}, {7,49}, {9,41}, {6,23}, {16,45}, {7,39}, {15,39}, {8,32}, {7,24}, {5,31}, {6,20}, {16,44}, {4,44}, {2,41}, {12,50}, {5,23}, {2,26}, {14,47}, {9,23}, {7,21}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {14,26}, {10,50}, {11,30}, {9,28}, {4,27}, {16,46}, {16,20}, {4,46}, {16,38}, {11,45}, {3,45}, {16,27}, {12,44}, {5,29}, {16,50}, {10,41}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {5,47}, {7,51}, {11,31}, {15,48}, {14,24}, {13,34}, {7,25}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {7,42}, {2,50}, {6,41}, {12,34}, {8,44}, {6,42}, {15,51}, {14,20}, {15,21}, {5,49}, {7,18}, {11,37}, {2,47}, {1,23}, {10,24}, {14,42}, {15,18}, {5,17}, {16,33}, {13,23}, {14,41}, {4,26}, {16,39}, {13,28}, {1,28}, {16,52}, {3,27}, {2,38}, {12,32}, {15,36}, {15,31}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,25}, {10,23}, {4,52}, {9,43}, {1,46}, {3,37}, {8,39}, {14,17}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {6,35}, {13,52}, {6,50}, {14,48}, {1,37}, {2,42}, {16,32}, {2,32}, {12,21}, {12,51}, {15,25}, {9,37} }; // ETB52.53 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1711891286065152000000 EdgesBipt[52][52]:={ {13,21}, {15,33}, {6,38}, {15,38}, {14,36}, {11,49}, {6,25}, {5,38}, {9,17}, {11,25}, {4,28}, {5,43}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {14,50}, {2,35}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {3,23}, {10,39}, {1,21}, {6,48}, {16,28}, {5,32}, {1,35}, {4,40}, {2,46}, {13,43}, {13,27}, {14,44}, {2,33}, {6,32}, {3,49}, {11,35}, {11,29}, {11,17}, {3,18}, {10,47}, {2,34}, {10,17}, {12,28}, {12,48}, {4,24}, {16,42}, {16,48}, {2,52}, {15,32}, {4,30}, {8,30}, {12,46}, {9,33}, {1,17}, {7,45}, {8,46}, {8,52}, {7,27}, {12,42}, {6,49}, {2,17}, {7,33}, {12,40}, {12,23}, {5,37}, {13,20}, {9,35}, {6,18}, {1,29}, {13,51}, {16,34}, {10,35}, {15,45}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {12,52}, {5,50}, {6,24}, {2,29}, {13,19}, {14,32}, {3,17}, {16,40}, {10,51}, {8,22}, {1,43}, {9,29}, {9,39}, {8,42}, {4,22}, {5,27}, {3,43}, {15,28}, {2,39}, {4,18}, {8,18}, {3,47}, {7,32}, {12,24}, {1,31}, {3,31}, {1,39}, {13,49}, {11,42}, {3,36}, {15,50}, {8,48}, {16,18}, {8,50}, {12,47}, {6,36}, {11,36}, {3,30}, {9,51}, {1,47}, {11,23}, {3,24}, {2,51}, {10,46}, {15,34}, {13,25}, {11,48}, {8,24}, {4,41}, {7,46}, {3,29}, {12,17}, {1,41}, {2,23}, {1,51}, {12,41}, {9,19}, {13,45}, {4,47}, {3,25}, {2,27}, {12,30}, {6,30}, {7,50}, {7,34}, {11,24}, {5,19}, {9,31}, {10,29}, {15,52}, {1,25}, {13,50}, {6,19}, {13,31}, {4,17}, {5,39}, {7,28}, {12,18}, {8,34}, {9,25}, {15,46}, {10,22}, {16,30}, {4,34}, {12,29}, {6,31}, {16,26}, {10,52}, {3,42}, {14,43}, {15,40}, {14,37}, {13,38}, {9,41}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {7,52}, {6,43}, {6,37}, {8,32}, {10,28}, {5,31}, {6,20}, {16,44}, {7,40}, {2,41}, {5,20}, {10,40}, {10,21}, {9,21}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {2,45}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {11,30}, {2,21}, {16,46}, {2,22}, {11,47}, {16,20}, {4,46}, {14,19}, {16,38}, {1,33}, {12,36}, {5,26}, {4,42}, {16,50}, {10,41}, {14,30}, {11,19}, {7,51}, {14,49}, {11,31}, {14,24}, {5,51}, {11,41}, {7,22}, {6,26}, {14,18}, {5,21}, {12,34}, {8,44}, {6,42}, {4,35}, {13,33}, {15,51}, {14,20}, {14,25}, {15,21}, {5,49}, {7,26}, {11,37}, {2,47}, {1,23}, {14,42}, {10,27}, {10,34}, {10,45}, {2,40}, {15,22}, {9,45}, {15,20}, {16,24}, {16,52}, {7,20}, {9,27}, {7,38}, {7,44}, {8,28}, {9,49}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {4,52}, {15,26}, {9,43}, {3,37}, {12,35}, {6,50}, {14,48}, {1,37}, {4,48}, {16,32}, {5,33}, {9,37} }; // ETB52.54 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 106993205379072 EdgesBipt[52][53]:={ {6,52}, {15,33}, {7,48}, {10,37}, {14,36}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {8,26}, {13,37}, {16,22}, {13,39}, {15,44}, {11,43}, {4,31}, {8,40}, {3,35}, {8,21}, {3,19}, {15,27}, {2,49}, {3,23}, {1,21}, {14,45}, {6,48}, {3,39}, {16,37}, {16,28}, {1,35}, {7,30}, {4,40}, {13,43}, {13,27}, {14,29}, {10,48}, {16,21}, {4,38}, {11,35}, {6,29}, {11,27}, {1,20}, {3,18}, {10,17}, {12,28}, {2,25}, {4,43}, {16,42}, {2,52}, {15,32}, {4,30}, {8,30}, {16,49}, {9,33}, {1,17}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {8,52}, {12,38}, {12,26}, {7,27}, {12,42}, {11,39}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {2,48}, {15,30}, {12,23}, {5,37}, {16,25}, {9,35}, {1,29}, {13,51}, {16,34}, {6,46}, {15,45}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {12,52}, {5,50}, {6,24}, {2,29}, {5,34}, {1,38}, {13,19}, {1,26}, {2,36}, {8,49}, {13,41}, {16,40}, {8,22}, {6,34}, {9,29}, {9,39}, {11,51}, {8,42}, {9,20}, {5,27}, {3,43}, {6,17}, {14,46}, {8,18}, {4,18}, {14,35}, {3,47}, {7,32}, {3,31}, {3,51}, {11,22}, {1,39}, {13,49}, {7,37}, {11,42}, {14,34}, {3,36}, {13,17}, {4,32}, {2,44}, {16,18}, {8,50}, {14,28}, {12,47}, {6,36}, {11,36}, {3,30}, {9,51}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {15,37}, {14,23}, {13,25}, {11,48}, {9,38}, {14,21}, {9,26}, {8,45}, {1,41}, {1,51}, {10,19}, {4,47}, {11,34}, {11,46}, {2,43}, {12,30}, {11,24}, {10,31}, {5,19}, {10,44}, {10,29}, {13,22}, {13,50}, {2,20}, {13,31}, {5,39}, {6,45}, {12,18}, {13,29}, {8,34}, {14,52}, {4,50}, {16,30}, {6,22}, {10,25}, {15,24}, {16,26}, {10,52}, {3,42}, {3,22}, {1,44}, {13,38}, {15,49}, {14,40}, {7,49}, {9,41}, {6,23}, {16,45}, {7,39}, {15,39}, {1,32}, {9,44}, {7,24}, {10,28}, {5,31}, {2,19}, {4,44}, {2,41}, {12,50}, {12,43}, {10,40}, {9,21}, {14,47}, {2,28}, {9,23}, {7,21}, {5,46}, {6,47}, {3,48}, {1,45}, {11,30}, {3,34}, {16,46}, {11,47}, {2,31}, {16,38}, {1,33}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {11,19}, {8,33}, {7,51}, {11,31}, {15,48}, {14,24}, {5,51}, {13,34}, {7,25}, {9,50}, {15,42}, {7,42}, {6,41}, {6,28}, {4,35}, {15,51}, {15,21}, {5,49}, {1,50}, {7,18}, {1,23}, {10,24}, {15,18}, {5,17}, {16,33}, {2,40}, {6,21}, {9,45}, {14,41}, {4,26}, {15,20}, {16,52}, {3,27}, {7,20}, {9,27}, {12,32}, {15,36}, {10,43}, {7,44}, {8,28}, {4,20}, {1,27}, {5,25}, {4,52}, {4,19}, {14,22}, {14,17}, {10,32}, {13,46}, {12,35}, {7,36}, {6,35}, {12,19}, {14,48}, {8,25}, {2,32}, {6,33}, {3,46}, {15,25}, {10,49}, {6,40} }; // ETB52.55 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 294912 EdgesBipt[52][54]:={ {6,52}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {11,49}, {5,22}, {9,17}, {16,51}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {13,37}, {14,38}, {15,44}, {11,43}, {4,31}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,40}, {13,43}, {14,29}, {2,33}, {3,49}, {11,35}, {11,29}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {10,17}, {2,25}, {12,48}, {4,43}, {16,42}, {16,48}, {2,52}, {1,17}, {7,45}, {8,52}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {12,31}, {12,40}, {13,24}, {15,30}, {5,37}, {13,20}, {13,42}, {9,35}, {6,18}, {13,51}, {16,34}, {15,45}, {11,18}, {8,38}, {5,50}, {12,52}, {4,49}, {6,24}, {1,38}, {13,19}, {16,40}, {10,51}, {1,43}, {12,49}, {9,39}, {8,42}, {9,20}, {3,43}, {15,28}, {6,17}, {5,28}, {8,18}, {9,46}, {1,42}, {1,31}, {12,27}, {11,22}, {1,39}, {7,37}, {2,30}, {3,36}, {4,21}, {8,48}, {13,17}, {4,32}, {2,44}, {16,18}, {13,18}, {8,50}, {16,29}, {11,36}, {3,30}, {2,24}, {2,51}, {15,37}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {8,47}, {8,24}, {4,41}, {9,38}, {7,46}, {8,45}, {3,29}, {13,36}, {2,23}, {10,19}, {15,23}, {12,41}, {9,22}, {13,45}, {7,35}, {11,46}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {10,31}, {9,31}, {5,19}, {10,44}, {13,22}, {1,25}, {13,50}, {6,19}, {3,32}, {7,28}, {8,34}, {14,52}, {9,25}, {15,46}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {6,31}, {11,32}, {12,25}, {16,26}, {10,52}, {3,22}, {14,40}, {1,48}, {6,23}, {16,45}, {7,39}, {3,41}, {15,39}, {8,32}, {10,28}, {2,19}, {6,20}, {16,44}, {4,44}, {2,41}, {12,50}, {12,43}, {5,20}, {10,21}, {9,21}, {7,29}, {14,47}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {1,45}, {10,50}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {15,29}, {16,20}, {2,31}, {14,19}, {16,38}, {12,44}, {7,47}, {2,37}, {4,42}, {16,50}, {10,41}, {4,25}, {14,30}, {12,33}, {11,19}, {15,47}, {14,49}, {7,51}, {14,24}, {5,51}, {11,41}, {1,34}, {14,18}, {2,50}, {6,41}, {12,34}, {8,44}, {4,35}, {13,33}, {15,51}, {14,20}, {15,21}, {7,26}, {11,37}, {2,47}, {5,18}, {1,23}, {10,24}, {10,27}, {5,17}, {3,40}, {9,45}, {14,41}, {4,26}, {13,28}, {1,28}, {16,24}, {16,52}, {3,27}, {7,38}, {5,42}, {12,32}, {15,36}, {7,44}, {9,49}, {8,20}, {5,25}, {10,23}, {15,26}, {4,52}, {9,43}, {1,46}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {13,46}, {12,35}, {7,36}, {14,48}, {4,48}, {16,32}, {12,21}, {11,26}, {3,46}, {9,48}, {5,33}, {6,40} }; // ETB52.56 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1671768834048 EdgesBipt[52][55]:={ {6,52}, {15,33}, {10,37}, {14,36}, {11,49}, {9,32}, {6,25}, {5,38}, {10,18}, {16,51}, {11,25}, {8,51}, {5,45}, {3,26}, {15,44}, {2,35}, {4,31}, {10,33}, {3,19}, {14,31}, {2,49}, {8,23}, {10,39}, {1,21}, {6,48}, {3,39}, {16,37}, {4,51}, {7,30}, {15,41}, {8,31}, {4,37}, {2,46}, {13,43}, {14,29}, {13,40}, {14,44}, {6,32}, {11,35}, {10,42}, {11,27}, {1,20}, {3,18}, {2,34}, {9,18}, {2,25}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {2,52}, {15,32}, {16,49}, {1,17}, {7,45}, {8,46}, {12,38}, {7,41}, {12,26}, {11,39}, {6,49}, {7,33}, {10,20}, {13,47}, {13,24}, {1,24}, {12,23}, {5,37}, {16,25}, {1,36}, {1,29}, {15,45}, {16,43}, {6,44}, {4,23}, {13,26}, {5,50}, {4,49}, {6,24}, {13,19}, {14,32}, {3,17}, {13,41}, {10,51}, {8,22}, {11,51}, {9,20}, {8,19}, {3,38}, {1,18}, {3,43}, {15,28}, {5,28}, {9,46}, {1,42}, {12,24}, {3,31}, {12,27}, {3,51}, {11,22}, {1,39}, {13,17}, {4,32}, {1,30}, {16,18}, {14,28}, {11,21}, {12,47}, {6,36}, {8,17}, {3,30}, {13,48}, {11,23}, {10,46}, {15,34}, {11,33}, {8,47}, {8,41}, {7,46}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {1,51}, {15,23}, {12,41}, {9,22}, {9,19}, {4,47}, {11,34}, {11,46}, {2,43}, {5,52}, {7,50}, {7,34}, {9,31}, {10,44}, {15,52}, {13,50}, {13,31}, {9,30}, {7,28}, {6,45}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {10,22}, {5,40}, {10,30}, {16,30}, {12,45}, {10,25}, {15,35}, {12,29}, {9,52}, {16,26}, {14,43}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {14,40}, {1,48}, {6,23}, {16,31}, {15,17}, {3,41}, {4,36}, {1,32}, {9,44}, {7,52}, {6,37}, {8,32}, {2,19}, {6,20}, {4,44}, {7,40}, {12,50}, {2,26}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {8,27}, {6,47}, {16,36}, {1,45}, {3,50}, {9,28}, {3,34}, {4,27}, {5,24}, {15,29}, {11,47}, {2,22}, {8,43}, {2,31}, {14,19}, {16,38}, {11,45}, {1,33}, {12,36}, {16,27}, {5,26}, {2,37}, {16,50}, {4,25}, {14,30}, {12,33}, {12,39}, {15,47}, {14,24}, {7,22}, {13,35}, {14,18}, {5,21}, {2,50}, {7,42}, {8,44}, {6,28}, {4,35}, {14,20}, {15,21}, {5,49}, {7,26}, {7,18}, {11,37}, {2,47}, {5,18}, {14,42}, {10,27}, {10,34}, {7,17}, {10,45}, {8,35}, {13,23}, {2,40}, {6,21}, {15,22}, {14,41}, {15,20}, {16,39}, {13,28}, {16,24}, {3,27}, {7,38}, {5,42}, {2,38}, {9,49}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {9,43}, {4,19}, {8,39}, {9,42}, {14,17}, {5,36}, {16,19}, {9,34}, {10,32}, {4,39}, {12,35}, {6,35}, {11,50}, {13,52}, {14,48}, {4,48}, {6,33}, {12,21}, {12,51}, {11,26}, {3,46}, {5,48}, {5,33}, {5,30}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB52.57 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2507653251072 EdgesBipt[52][56]:={ {13,21}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {6,25}, {5,22}, {10,18}, {8,51}, {5,45}, {12,22}, {1,49}, {16,22}, {15,44}, {2,35}, {4,31}, {8,40}, {3,35}, {3,19}, {1,19}, {2,49}, {3,23}, {1,21}, {3,21}, {3,39}, {1,35}, {4,51}, {15,41}, {13,43}, {14,29}, {13,40}, {14,44}, {11,35}, {10,42}, {6,29}, {10,47}, {9,18}, {12,28}, {2,25}, {4,24}, {4,43}, {16,48}, {2,52}, {15,32}, {8,30}, {12,46}, {9,33}, {1,17}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {8,52}, {12,38}, {7,41}, {12,26}, {6,49}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {10,20}, {13,24}, {15,30}, {5,37}, {6,18}, {1,29}, {12,37}, {16,34}, {10,35}, {16,43}, {4,23}, {11,18}, {13,26}, {12,52}, {5,34}, {13,19}, {14,32}, {8,49}, {8,22}, {9,36}, {1,43}, {12,49}, {9,39}, {8,42}, {5,27}, {3,43}, {6,17}, {14,46}, {2,39}, {9,46}, {8,18}, {3,47}, {1,31}, {3,31}, {3,51}, {1,39}, {7,37}, {11,42}, {14,34}, {3,36}, {15,50}, {7,19}, {4,32}, {2,44}, {11,21}, {16,29}, {11,36}, {13,48}, {16,17}, {9,51}, {1,47}, {11,23}, {3,24}, {2,51}, {10,38}, {11,33}, {14,39}, {11,48}, {4,41}, {7,46}, {11,52}, {13,36}, {1,41}, {2,23}, {1,51}, {15,23}, {9,22}, {4,47}, {13,45}, {2,43}, {2,27}, {6,30}, {7,50}, {7,34}, {11,24}, {10,44}, {13,22}, {1,25}, {13,50}, {2,20}, {4,17}, {13,31}, {9,30}, {5,39}, {14,27}, {16,41}, {6,45}, {8,34}, {10,30}, {10,25}, {15,35}, {15,24}, {9,52}, {12,25}, {16,26}, {10,52}, {13,38}, {7,49}, {6,23}, {16,31}, {15,17}, {4,36}, {4,29}, {6,37}, {8,32}, {10,28}, {9,24}, {2,19}, {16,44}, {4,44}, {12,50}, {12,43}, {10,40}, {9,21}, {7,29}, {2,28}, {7,21}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {16,36}, {1,45}, {10,50}, {14,51}, {11,30}, {9,28}, {4,27}, {16,46}, {11,47}, {15,29}, {16,20}, {2,31}, {16,38}, {11,45}, {1,33}, {3,45}, {12,44}, {2,37}, {5,29}, {16,50}, {14,30}, {3,28}, {7,31}, {15,47}, {15,48}, {14,24}, {5,51}, {13,34}, {7,25}, {7,22}, {6,26}, {15,42}, {14,18}, {5,21}, {6,41}, {12,34}, {8,44}, {6,42}, {4,35}, {13,33}, {14,20}, {5,49}, {7,26}, {11,28}, {2,47}, {5,18}, {1,23}, {14,42}, {15,18}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {9,45}, {14,41}, {15,20}, {13,28}, {16,24}, {3,27}, {9,27}, {7,38}, {5,42}, {12,32}, {15,36}, {8,28}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {15,26}, {4,19}, {14,22}, {8,39}, {9,42}, {14,17}, {16,19}, {9,34}, {10,32}, {13,46}, {4,39}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {14,48}, {1,37}, {8,25}, {4,48}, {16,32}, {6,33}, {2,32}, {11,26}, {9,48}, {5,33}, {5,30}, {11,38}, {10,49} }; // ETB52.58 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 417942208512 EdgesBipt[52][57]:={ {15,33}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {14,36}, {11,49}, {9,32}, {9,17}, {10,18}, {16,51}, {11,25}, {5,45}, {12,22}, {8,26}, {1,49}, {11,43}, {10,33}, {3,19}, {14,31}, {1,19}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {16,28}, {1,35}, {15,41}, {2,46}, {13,43}, {13,40}, {14,44}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {2,34}, {9,18}, {4,24}, {16,42}, {16,48}, {2,52}, {4,30}, {8,30}, {12,46}, {1,17}, {8,46}, {8,37}, {12,20}, {10,26}, {12,31}, {13,47}, {13,24}, {2,48}, {15,30}, {5,37}, {13,20}, {9,35}, {1,29}, {12,37}, {15,45}, {4,23}, {8,38}, {13,26}, {9,47}, {6,24}, {13,19}, {14,32}, {3,17}, {8,49}, {2,36}, {16,40}, {8,22}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {9,20}, {5,27}, {3,43}, {6,17}, {5,28}, {14,46}, {2,39}, {4,18}, {8,18}, {7,32}, {1,31}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {2,30}, {5,35}, {14,34}, {3,36}, {15,50}, {7,19}, {4,32}, {16,18}, {8,50}, {14,28}, {11,21}, {6,36}, {8,17}, {13,48}, {9,51}, {1,47}, {2,24}, {11,23}, {3,24}, {2,51}, {10,38}, {15,34}, {10,46}, {11,33}, {14,39}, {4,41}, {8,41}, {7,46}, {3,29}, {11,52}, {12,17}, {13,36}, {1,41}, {1,51}, {12,41}, {4,47}, {5,52}, {2,27}, {7,50}, {7,34}, {1,25}, {13,50}, {6,19}, {13,31}, {4,17}, {9,30}, {5,39}, {14,27}, {7,28}, {6,45}, {8,34}, {14,52}, {9,25}, {15,46}, {10,22}, {5,40}, {10,30}, {4,50}, {16,30}, {10,25}, {12,29}, {6,31}, {15,24}, {12,25}, {10,52}, {14,43}, {3,22}, {13,38}, {14,40}, {7,49}, {9,41}, {6,23}, {15,17}, {3,41}, {4,36}, {4,29}, {9,44}, {7,52}, {6,43}, {8,32}, {10,28}, {16,44}, {4,44}, {7,40}, {5,23}, {12,43}, {10,40}, {10,21}, {2,28}, {8,29}, {9,23}, {13,44}, {2,45}, {6,47}, {3,48}, {3,33}, {16,36}, {13,32}, {1,45}, {10,50}, {14,51}, {3,34}, {2,21}, {15,29}, {11,47}, {2,22}, {16,20}, {14,19}, {11,45}, {1,33}, {3,45}, {16,27}, {12,44}, {4,42}, {7,31}, {11,19}, {12,39}, {5,47}, {11,31}, {15,48}, {14,24}, {5,51}, {7,25}, {7,22}, {6,26}, {15,42}, {13,35}, {5,21}, {6,41}, {12,34}, {8,44}, {16,23}, {4,35}, {14,20}, {15,21}, {5,49}, {7,26}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {15,18}, {10,34}, {13,23}, {10,45}, {2,40}, {6,21}, {15,22}, {4,26}, {16,39}, {13,28}, {16,24}, {16,52}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {12,32}, {15,36}, {7,44}, {9,49}, {7,43}, {4,20}, {8,20}, {1,27}, {5,25}, {15,26}, {14,22}, {9,42}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {14,48}, {1,37}, {8,25}, {2,42}, {4,48}, {16,32}, {6,33}, {12,51}, {11,26}, {3,46}, {5,33}, {5,30}, {11,38}, {10,49}, {9,37} }; // ETB52.59 // Bipartite(16,36) Valencies [18,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 301989888 EdgesBipt[52][58]:={ {13,21}, {15,33}, {6,52}, {7,48}, {6,38}, {11,49}, {9,32}, {6,25}, {11,25}, {8,51}, {5,45}, {12,22}, {1,49}, {13,37}, {1,40}, {13,39}, {15,44}, {11,43}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {3,21}, {14,45}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {14,29}, {10,48}, {16,21}, {6,32}, {11,27}, {10,47}, {10,17}, {12,28}, {4,24}, {1,52}, {16,48}, {15,32}, {8,30}, {12,46}, {1,17}, {7,45}, {8,46}, {12,20}, {5,41}, {12,38}, {12,26}, {7,27}, {11,39}, {10,26}, {12,31}, {12,40}, {13,47}, {13,24}, {2,48}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {1,36}, {6,18}, {12,37}, {16,34}, {6,46}, {10,35}, {16,43}, {11,18}, {13,26}, {9,47}, {5,50}, {6,24}, {13,19}, {3,17}, {8,49}, {2,36}, {10,51}, {6,34}, {1,43}, {9,29}, {11,51}, {12,49}, {8,42}, {9,20}, {4,22}, {1,18}, {3,38}, {5,27}, {3,43}, {15,28}, {2,39}, {14,35}, {3,47}, {1,31}, {13,49}, {2,30}, {11,42}, {5,35}, {15,50}, {8,48}, {4,32}, {2,44}, {16,18}, {1,30}, {11,21}, {6,36}, {11,36}, {16,17}, {2,24}, {14,33}, {14,23}, {10,46}, {11,33}, {8,47}, {8,24}, {8,41}, {9,38}, {3,29}, {11,52}, {12,17}, {2,23}, {4,45}, {1,51}, {15,23}, {12,41}, {9,22}, {4,47}, {3,25}, {11,34}, {7,35}, {2,27}, {4,33}, {1,22}, {7,34}, {11,24}, {5,19}, {10,44}, {10,29}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {3,32}, {14,27}, {12,18}, {13,29}, {9,25}, {15,46}, {10,30}, {4,50}, {16,30}, {6,22}, {4,34}, {15,24}, {15,40}, {14,43}, {10,52}, {14,37}, {13,38}, {14,40}, {1,48}, {7,49}, {9,41}, {16,45}, {3,41}, {4,29}, {7,52}, {6,43}, {6,37}, {10,28}, {9,24}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {2,26}, {10,21}, {7,29}, {14,47}, {8,29}, {9,23}, {13,44}, {2,45}, {16,36}, {10,50}, {14,51}, {3,50}, {2,21}, {4,27}, {16,20}, {8,43}, {2,31}, {14,19}, {16,38}, {11,45}, {1,33}, {12,36}, {16,27}, {12,44}, {5,26}, {7,47}, {4,42}, {16,50}, {3,28}, {7,31}, {11,19}, {8,33}, {14,49}, {11,31}, {15,48}, {5,51}, {13,34}, {9,50}, {7,22}, {15,42}, {1,34}, {5,21}, {6,28}, {6,42}, {15,51}, {14,25}, {7,26}, {11,37}, {5,18}, {16,35}, {15,18}, {10,34}, {5,17}, {7,17}, {15,22}, {9,45}, {14,41}, {4,26}, {16,39}, {13,28}, {1,28}, {16,52}, {7,20}, {9,27}, {7,38}, {2,38}, {15,36}, {7,44}, {8,28}, {9,40}, {5,44}, {15,26}, {4,52}, {9,43}, {1,46}, {4,19}, {14,22}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {10,32}, {13,46}, {12,35}, {12,19}, {13,52}, {6,50}, {8,25}, {2,42}, {16,32}, {3,46}, {9,48}, {5,33}, {6,40} }; // ETB52.60 // Bipartite(26,26) Valencies [18,18] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 753766760448 EdgesBipt[52][59]:={ {3,42}, {7,49}, {15,28}, {6,36}, {24,33}, {4,46}, {3,29}, {16,28}, {20,33}, {25,42}, {14,29}, {7,47}, {26,33}, {20,50}, {3,49}, {14,49}, {5,32}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,52}, {11,34}, {2,39}, {7,28}, {15,50}, {1,32}, {4,28}, {19,51}, {13,43}, {19,37}, {17,29}, {18,49}, {15,33}, {24,52}, {5,43}, {22,51}, {12,32}, {10,27}, {23,50}, {4,30}, {21,35}, {20,42}, {2,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {11,27}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {14,40}, {9,41}, {17,43}, {21,46}, {23,34}, {17,45}, {14,33}, {11,35}, {3,27}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {22,29}, {8,52}, {14,27}, {5,47}, {17,42}, {11,47}, {23,49}, {20,28}, {18,50}, {12,35}, {12,48}, {24,48}, {19,40}, {10,51}, {25,41}, {17,51}, {2,37}, {14,43}, {25,45}, {6,31}, {8,40}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {5,45}, {3,48}, {21,42}, {4,41}, {7,51}, {22,32}, {8,39}, {7,34}, {22,45}, {2,36}, {12,38}, {13,33}, {26,44}, {18,35}, {22,27}, {18,31}, {9,27}, {14,51}, {26,32}, {18,42}, {16,42}, {24,30}, {16,30}, {8,35}, {6,40}, {9,31}, {20,39}, {25,27}, {22,47}, {16,43}, {24,43}, {10,50}, {2,44}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {19,31}, {22,41}, {4,45}, {2,28}, {1,27}, {4,44}, {5,36}, {26,43}, {21,37}, {25,38}, {1,29}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {23,39}, {10,43}, {5,29}, {9,28}, {26,49}, {20,49}, {20,52}, {16,35}, {21,51}, {21,40}, {8,30}, {14,32}, {26,52}, {11,41}, {19,44}, {9,52}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {10,31}, {22,38}, {19,32}, {7,37}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,50}, {11,50}, {26,31}, {7,29}, {12,49}, {6,37}, {12,28}, {17,28}, {26,35}, {7,36}, {9,39}, {11,45}, {8,33}, {10,28}, {9,44}, {9,42}, {21,50}, {13,35}, {13,32}, {26,39}, {18,44}, {23,28}, {21,29}, {3,28}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {15,42}, {13,46}, {2,40}, {17,50}, {16,46}, {24,34}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {17,37}, {21,27}, {10,37}, {25,36}, {6,44}, {22,52}, {2,42}, {10,52}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {15,29}, {20,38}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {5,48}, {26,48}, {25,30}, {9,40}, {7,46}, {6,47}, {20,37}, {11,33}, {1,34}, {22,40}, {4,47}, {24,35}, {24,37}, {8,27}, {5,30}, {6,46}, {2,49}, {23,44}, {16,27}, {14,46}, {3,46}, {16,31}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {15,44}, {23,41}, {8,51}, {25,40}, {19,36}, {9,34}, {16,41}, {13,28}, {17,44}, {2,33}, {6,32}, {15,31}, {24,47}, {9,47}, {18,36}, {4,32}, {2,27}, {13,41}, {19,33}, {3,34}, {18,39}, {9,48}, {25,48}, {14,34}, {13,44}, {16,40}, {26,41}, {1,47}, {6,51}, {20,35}, {8,42}, {22,39}, {7,38}, {14,30}, {7,52}, {23,40}, {13,31}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {21,33}, {17,38}, {1,46}, {10,34}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {20,51}, {19,50}, {17,34}, {24,46}, {23,51}, {1,45}, {10,30}, {13,38}, {26,36}, {12,51}, {20,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,39}, {19,47}, {26,38}, {15,49}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {19,27}, {25,50}, {1,36}, {26,30}, {13,30}, {24,32}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {10,41}, {15,41}, {19,45}, {16,44}, {4,50}, {23,31}, {2,50}, {17,41}, {11,30}, {21,52}, {8,43}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {15,52}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {8,46}, {20,41}, {15,32}, {14,38}, {25,35}, {6,38}, {8,48}, {19,46}, {11,40}, {14,45}, {5,44}, {5,35}, {21,48}, {4,43}, {1,51}, {24,45}, {9,32}, {18,32}, {24,40}, {23,30}, {22,31}, {20,47}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {23,37}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {23,43}, {23,36}, {26,28}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {16,47}, {20,36}, {13,45}, {26,45}, {4,37}, {12,29}, {10,47}, {17,33}, {17,47}, {8,50}, {25,37}, {21,38}, {10,49}, {2,31} }; // ETB52.61 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[52][60]:={ {8,48}, {3,33}, {2,24}, {1,20}, {9,28}, {6,32}, {6,16}, {11,36}, {7,15}, {4,26}, {3,22}, {12,51}, {12,45}, {10,37}, {4,50}, {11,25}, {8,30}, {7,48}, {2,23}, {1,13}, {2,51}, {12,22}, {7,38}, {8,42}, {1,32}, {8,33}, {3,43}, {3,15}, {1,40}, {4,19}, {9,44}, {7,22}, {4,31}, {2,27}, {3,35}, {5,47}, {7,34}, {12,35}, {10,44}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {8,44}, {4,23}, {8,27}, {12,37}, {12,50}, {2,42}, {10,22}, {6,22}, {3,18}, {3,17}, {2,25}, {5,40}, {10,48}, {6,40}, {11,33}, {1,38}, {1,17}, {2,36}, {1,50}, {8,19}, {3,49}, {9,29}, {10,38}, {3,14}, {7,20}, {10,47}, {5,50}, {12,17}, {9,26}, {12,20}, {4,41}, {2,38}, {8,47}, {9,19}, {2,52}, {7,46}, {11,51}, {5,25}, {9,41}, {2,39}, {1,31}, {10,41}, {7,49}, {7,13}, {9,14}, {7,43}, {7,25}, {10,28}, {11,31}, {11,44}, {1,51}, {3,44}, {12,13}, {6,30}, {4,47}, {4,33}, {12,16}, {10,29}, {10,31}, {9,34}, {3,51}, {2,13}, {6,18}, {4,52}, {12,43}, {1,29}, {8,17}, {2,16}, {3,32}, {8,36}, {6,33}, {5,18}, {6,46}, {11,30}, {9,37}, {12,28}, {5,49}, {1,45}, {5,48}, {8,35}, {9,20}, {4,15}, {3,50}, {3,27}, {10,46}, {4,43}, {1,33}, {10,45}, {4,46}, {5,28}, {8,26}, {10,51}, {12,26}, {9,22}, {5,41}, {4,36}, {10,43}, {7,47}, {9,40}, {11,52}, {8,32}, {8,21}, {1,24}, {11,24}, {11,39}, {8,40}, {12,30}, {3,23}, {8,23}, {10,32}, {5,36}, {3,21}, {6,19}, {1,46}, {11,46}, {7,29}, {6,41}, {1,15}, {12,15}, {6,14}, {9,30}, {10,39}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {11,26}, {7,23}, {11,16}, {2,21}, {8,34}, {10,17}, {2,29}, {11,27}, {6,45}, {10,27}, {4,14}, {10,34}, {9,17}, {8,24}, {6,25}, {10,49}, {1,47}, {6,38}, {4,49}, {2,40}, {2,31}, {12,52}, {6,34}, {5,27}, {5,26}, {3,42}, {4,18}, {9,39}, {12,48}, {4,25}, {3,38}, {9,52}, {4,20}, {11,45}, {11,48}, {5,13}, {12,24}, {5,45}, {3,41}, {7,24}, {1,14}, {6,39}, {11,34}, {5,19}, {6,20}, {7,35}, {11,43}, {5,21}, {6,13}, {5,35}, {7,52}, {9,31}, {5,37}, {7,19}, {6,35}, {9,16}, {9,21}, {11,42}, {7,42}, {4,44}, {9,23}, {8,29}, {12,18}, {11,18}, {1,36}, {12,21}, {2,50}, {2,49} }; // ETB52.62 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1797823777708278861004800000000 EdgesBipt[52][61]:={ {5,17}, {1,20}, {10,25}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {2,46}, {7,15}, {11,35}, {4,26}, {12,51}, {3,40}, {10,37}, {4,30}, {4,50}, {8,30}, {7,48}, {6,17}, {8,43}, {1,13}, {9,45}, {12,22}, {8,42}, {1,32}, {3,43}, {3,15}, {12,38}, {7,44}, {1,40}, {10,26}, {4,19}, {9,44}, {12,39}, {4,31}, {9,49}, {10,33}, {12,42}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {7,51}, {12,35}, {7,36}, {3,52}, {2,41}, {12,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,31}, {8,27}, {12,50}, {2,42}, {10,22}, {6,22}, {11,28}, {10,30}, {6,29}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {2,34}, {1,17}, {9,48}, {4,22}, {8,19}, {9,29}, {10,38}, {7,20}, {9,32}, {1,44}, {5,29}, {2,38}, {8,47}, {12,46}, {2,37}, {8,14}, {11,51}, {7,39}, {4,42}, {5,25}, {9,41}, {7,32}, {11,15}, {10,41}, {7,43}, {11,31}, {11,44}, {3,44}, {6,30}, {4,47}, {10,29}, {3,20}, {6,49}, {3,51}, {2,13}, {10,21}, {6,18}, {12,43}, {1,29}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {6,33}, {6,50}, {11,23}, {6,46}, {5,24}, {9,37}, {12,47}, {5,49}, {8,22}, {1,45}, {5,48}, {8,35}, {10,42}, {9,20}, {4,15}, {1,28}, {3,27}, {10,46}, {4,43}, {1,33}, {10,13}, {10,45}, {4,46}, {5,28}, {8,26}, {1,52}, {12,26}, {7,31}, {5,41}, {2,17}, {7,47}, {9,13}, {12,27}, {9,40}, {11,52}, {3,19}, {1,24}, {12,23}, {11,24}, {1,49}, {5,44}, {11,39}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {12,14}, {5,36}, {1,25}, {6,41}, {12,15}, {6,14}, {1,37}, {7,28}, {3,16}, {6,42}, {7,23}, {11,16}, {2,21}, {8,34}, {5,33}, {10,17}, {4,51}, {3,24}, {2,29}, {11,27}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {8,50}, {3,48}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {10,49}, {6,38}, {10,50}, {11,40}, {9,33}, {9,36}, {6,34}, {11,47}, {8,18}, {4,18}, {11,19}, {9,52}, {11,48}, {5,13}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {1,48}, {7,24}, {3,31}, {9,24}, {8,51}, {6,37}, {12,31}, {3,47}, {10,14}, {7,35}, {11,43}, {5,21}, {2,30}, {6,13}, {2,18}, {7,52}, {5,37}, {7,19}, {9,21}, {9,16}, {3,36}, {4,39}, {7,40}, {5,52}, {12,18}, {1,36}, {2,50}, {2,49}, {5,16} }; // ETB52.63 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 266344263364189460889600000000 EdgesBipt[52][62]:={ {6,48}, {3,33}, {10,24}, {11,20}, {6,32}, {6,16}, {11,36}, {2,46}, {12,29}, {11,35}, {4,24}, {4,26}, {4,16}, {12,45}, {4,30}, {4,50}, {8,30}, {6,17}, {2,23}, {1,13}, {8,43}, {2,51}, {9,45}, {12,32}, {7,38}, {8,42}, {3,45}, {3,13}, {3,43}, {3,25}, {3,15}, {7,41}, {10,26}, {2,15}, {7,22}, {2,19}, {12,41}, {9,49}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {9,43}, {2,26}, {8,39}, {7,34}, {1,21}, {10,44}, {2,14}, {1,30}, {5,32}, {8,15}, {9,35}, {8,31}, {8,27}, {12,37}, {2,42}, {10,22}, {11,28}, {10,30}, {6,29}, {3,17}, {4,38}, {6,21}, {5,40}, {10,48}, {6,40}, {1,38}, {2,34}, {1,17}, {1,50}, {9,47}, {4,22}, {8,19}, {3,49}, {9,29}, {10,38}, {1,18}, {12,17}, {9,27}, {12,20}, {12,36}, {2,38}, {8,47}, {9,19}, {12,49}, {10,52}, {5,43}, {12,44}, {8,14}, {7,46}, {11,51}, {4,42}, {9,41}, {2,39}, {11,15}, {7,49}, {7,13}, {7,25}, {10,28}, {11,31}, {2,35}, {11,44}, {1,22}, {12,13}, {12,16}, {5,23}, {6,49}, {3,51}, {4,52}, {10,40}, {1,29}, {7,50}, {7,30}, {3,39}, {9,25}, {7,26}, {6,33}, {11,23}, {6,24}, {6,44}, {7,17}, {5,24}, {9,37}, {4,48}, {12,28}, {12,25}, {8,22}, {1,45}, {5,48}, {8,35}, {10,42}, {7,14}, {3,27}, {9,51}, {10,46}, {4,28}, {1,33}, {3,29}, {4,46}, {5,28}, {8,26}, {12,33}, {4,36}, {9,13}, {11,52}, {1,42}, {3,19}, {5,31}, {11,24}, {1,49}, {5,44}, {11,39}, {12,40}, {3,23}, {8,23}, {10,32}, {5,36}, {3,21}, {1,25}, {1,46}, {5,51}, {7,29}, {6,41}, {6,28}, {1,37}, {5,39}, {4,40}, {11,16}, {6,36}, {8,34}, {11,27}, {6,45}, {8,38}, {1,26}, {2,22}, {4,34}, {10,36}, {4,14}, {8,50}, {10,34}, {11,32}, {9,17}, {10,18}, {2,47}, {6,25}, {2,31}, {10,50}, {11,40}, {9,33}, {12,52}, {11,47}, {5,27}, {8,18}, {4,18}, {6,52}, {9,39}, {11,19}, {12,48}, {4,20}, {11,48}, {12,24}, {7,45}, {8,46}, {1,41}, {3,41}, {3,31}, {1,14}, {8,51}, {10,20}, {5,15}, {7,33}, {6,37}, {3,47}, {10,14}, {5,19}, {6,20}, {11,43}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {9,31}, {2,43}, {9,21}, {7,42}, {4,44}, {9,23}, {7,21}, {5,52}, {4,32}, {12,21}, {2,50}, {7,18}, {10,16}, {5,16} }; // ETB52.64 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 132090377011200000000 EdgesBipt[52][63]:={ {6,48}, {2,44}, {8,48}, {11,17}, {3,33}, {2,24}, {5,17}, {10,25}, {6,32}, {6,16}, {4,27}, {7,15}, {11,35}, {4,26}, {12,51}, {4,50}, {11,25}, {7,48}, {2,23}, {1,13}, {5,38}, {9,45}, {12,22}, {12,32}, {7,38}, {8,42}, {8,28}, {1,32}, {3,13}, {3,45}, {3,25}, {3,15}, {12,38}, {1,40}, {10,26}, {2,15}, {4,19}, {7,22}, {8,52}, {9,49}, {10,33}, {3,37}, {2,26}, {8,39}, {1,21}, {11,41}, {11,14}, {12,35}, {10,44}, {2,28}, {1,30}, {8,15}, {8,44}, {8,31}, {2,42}, {6,22}, {3,18}, {3,17}, {8,16}, {3,34}, {11,38}, {6,40}, {11,33}, {1,38}, {2,34}, {2,36}, {9,47}, {5,22}, {3,49}, {9,29}, {9,26}, {12,20}, {12,36}, {5,29}, {4,41}, {8,47}, {12,46}, {11,49}, {2,52}, {10,52}, {5,43}, {12,44}, {7,46}, {11,51}, {7,39}, {4,42}, {5,25}, {9,41}, {2,39}, {7,32}, {11,13}, {1,31}, {10,41}, {11,22}, {7,13}, {10,28}, {1,22}, {6,30}, {6,43}, {4,33}, {12,16}, {9,34}, {9,42}, {2,20}, {2,48}, {4,52}, {9,50}, {12,43}, {1,29}, {7,30}, {2,16}, {3,39}, {11,21}, {4,35}, {9,25}, {7,16}, {2,32}, {8,36}, {1,23}, {6,24}, {11,29}, {5,30}, {6,44}, {6,46}, {11,30}, {9,37}, {5,46}, {12,28}, {5,49}, {1,45}, {10,42}, {5,14}, {7,14}, {3,50}, {4,28}, {4,43}, {3,29}, {3,26}, {8,26}, {10,51}, {7,31}, {5,41}, {4,36}, {10,43}, {6,51}, {7,47}, {9,13}, {12,27}, {8,32}, {1,24}, {6,27}, {8,40}, {12,19}, {12,40}, {12,30}, {3,23}, {8,23}, {1,39}, {12,14}, {3,21}, {6,19}, {1,46}, {11,46}, {5,51}, {7,29}, {1,15}, {6,28}, {6,14}, {1,37}, {10,35}, {7,23}, {6,36}, {5,33}, {8,34}, {9,18}, {10,17}, {4,51}, {11,37}, {11,27}, {10,27}, {4,34}, {1,16}, {10,36}, {8,50}, {10,34}, {9,17}, {10,18}, {8,24}, {2,47}, {10,49}, {1,47}, {6,38}, {4,49}, {2,40}, {2,31}, {10,50}, {9,33}, {12,52}, {5,27}, {8,18}, {3,42}, {4,18}, {6,52}, {9,39}, {11,19}, {12,48}, {4,25}, {10,19}, {4,20}, {11,45}, {5,13}, {8,20}, {12,24}, {7,45}, {5,45}, {3,41}, {1,48}, {7,24}, {3,31}, {1,14}, {10,20}, {3,47}, {5,19}, {6,20}, {11,43}, {5,21}, {9,15}, {7,37}, {5,35}, {2,18}, {9,31}, {5,37}, {4,17}, {6,35}, {9,21}, {7,40}, {4,44}, {9,23}, {7,21}, {2,50} }; // ETB52.65 // Bipartite(12,40) Valencies [20,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 243468982907043840 EdgesBipt[52][64]:={ {2,44}, {3,33}, {2,24}, {10,24}, {9,28}, {6,32}, {11,36}, {4,27}, {2,46}, {7,15}, {4,24}, {12,51}, {3,40}, {12,45}, {10,37}, {8,30}, {1,13}, {5,38}, {9,45}, {12,22}, {12,32}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {10,23}, {7,22}, {4,31}, {2,19}, {12,41}, {9,49}, {2,27}, {10,33}, {12,42}, {3,35}, {9,43}, {2,26}, {8,39}, {11,41}, {12,35}, {7,36}, {10,44}, {12,34}, {2,14}, {5,32}, {9,35}, {4,23}, {8,44}, {8,27}, {12,50}, {6,22}, {3,18}, {11,28}, {8,16}, {4,38}, {6,21}, {11,38}, {10,48}, {6,40}, {6,31}, {2,34}, {1,17}, {2,36}, {9,48}, {5,22}, {8,19}, {3,49}, {9,29}, {10,38}, {10,47}, {12,20}, {5,29}, {4,41}, {8,47}, {9,19}, {11,49}, {2,37}, {12,44}, {8,14}, {7,46}, {11,51}, {2,39}, {7,32}, {10,41}, {11,22}, {7,13}, {7,43}, {7,25}, {10,28}, {11,31}, {1,22}, {6,30}, {4,47}, {4,33}, {4,21}, {3,20}, {10,31}, {10,21}, {2,20}, {9,50}, {8,17}, {2,16}, {3,39}, {11,21}, {9,25}, {7,16}, {8,36}, {7,26}, {5,18}, {6,50}, {1,23}, {6,24}, {11,29}, {6,44}, {7,17}, {4,48}, {5,46}, {5,49}, {12,25}, {1,45}, {5,48}, {9,20}, {4,13}, {3,50}, {4,28}, {1,33}, {4,43}, {10,13}, {3,29}, {1,43}, {8,37}, {5,28}, {8,26}, {10,51}, {5,42}, {1,52}, {6,15}, {5,41}, {2,17}, {10,43}, {6,51}, {7,47}, {9,13}, {9,40}, {11,52}, {1,42}, {3,19}, {5,31}, {11,39}, {8,40}, {12,40}, {12,30}, {3,23}, {12,14}, {5,36}, {1,25}, {1,46}, {11,46}, {5,51}, {6,41}, {1,15}, {12,15}, {6,14}, {9,30}, {1,35}, {1,37}, {5,39}, {4,37}, {6,42}, {11,26}, {7,23}, {11,16}, {3,30}, {8,34}, {9,18}, {10,17}, {4,51}, {2,29}, {6,45}, {10,27}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {8,50}, {10,34}, {11,32}, {10,18}, {8,24}, {2,47}, {6,25}, {1,47}, {2,40}, {9,33}, {12,52}, {6,34}, {8,49}, {5,26}, {4,18}, {6,52}, {9,39}, {9,38}, {11,19}, {3,38}, {11,48}, {3,28}, {8,20}, {12,24}, {7,27}, {7,45}, {8,46}, {7,33}, {12,31}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {2,30}, {9,15}, {7,37}, {7,52}, {4,17}, {6,35}, {11,42}, {7,42}, {4,44}, {9,23}, {8,29}, {5,52}, {11,18}, {1,36}, {12,21}, {2,50}, {2,49}, {5,16} }; // ETB52.66 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 48318382080 EdgesBipt[52][65]:={ {6,48}, {2,44}, {3,33}, {2,24}, {1,20}, {10,25}, {11,20}, {6,16}, {11,35}, {12,51}, {12,45}, {8,30}, {7,48}, {2,23}, {1,13}, {8,43}, {5,38}, {2,51}, {9,45}, {12,22}, {4,29}, {3,45}, {3,13}, {1,27}, {3,25}, {10,23}, {12,38}, {1,40}, {2,15}, {4,19}, {8,52}, {9,49}, {1,19}, {12,42}, {5,47}, {5,20}, {3,37}, {7,34}, {7,51}, {3,52}, {2,41}, {2,14}, {1,30}, {5,32}, {8,15}, {4,23}, {8,44}, {8,31}, {11,50}, {10,15}, {10,22}, {6,22}, {3,18}, {3,17}, {8,16}, {5,40}, {11,38}, {10,48}, {6,31}, {2,34}, {1,17}, {2,36}, {1,50}, {9,47}, {5,22}, {4,22}, {3,49}, {9,29}, {7,20}, {9,32}, {5,50}, {9,27}, {12,36}, {5,29}, {4,41}, {8,41}, {12,46}, {9,19}, {11,49}, {2,37}, {2,52}, {12,44}, {8,14}, {7,46}, {7,39}, {4,42}, {9,41}, {11,15}, {1,31}, {10,41}, {4,45}, {11,22}, {7,13}, {10,28}, {2,35}, {11,44}, {1,51}, {12,13}, {6,43}, {12,16}, {4,21}, {10,29}, {10,21}, {6,18}, {10,40}, {12,43}, {7,30}, {7,50}, {8,17}, {2,16}, {3,39}, {3,32}, {4,35}, {9,25}, {7,26}, {6,33}, {2,32}, {8,36}, {5,18}, {6,24}, {11,29}, {5,30}, {6,44}, {7,17}, {6,46}, {11,30}, {5,24}, {9,37}, {4,48}, {5,46}, {12,28}, {5,49}, {12,25}, {8,35}, {10,42}, {4,15}, {1,28}, {7,14}, {3,27}, {4,28}, {1,33}, {4,43}, {10,45}, {3,29}, {6,23}, {8,37}, {5,42}, {12,26}, {7,31}, {12,33}, {2,17}, {10,43}, {6,51}, {7,47}, {9,13}, {11,52}, {8,32}, {8,21}, {3,19}, {12,23}, {11,24}, {5,44}, {6,26}, {8,23}, {1,39}, {3,21}, {1,46}, {11,46}, {6,28}, {10,39}, {1,37}, {7,28}, {3,16}, {6,42}, {11,26}, {4,40}, {10,35}, {6,36}, {2,21}, {8,34}, {9,18}, {11,27}, {6,45}, {1,26}, {4,34}, {4,14}, {8,50}, {10,34}, {11,32}, {9,17}, {8,24}, {6,25}, {10,49}, {1,47}, {6,38}, {4,49}, {2,31}, {11,40}, {9,33}, {9,36}, {11,47}, {5,27}, {5,26}, {9,39}, {9,38}, {12,48}, {4,25}, {10,19}, {3,38}, {9,52}, {4,20}, {12,24}, {7,27}, {3,41}, {1,48}, {1,14}, {8,51}, {10,20}, {5,15}, {7,33}, {12,31}, {3,47}, {10,14}, {2,30}, {6,13}, {7,37}, {5,35}, {1,34}, {7,19}, {2,43}, {3,36}, {9,16}, {9,21}, {11,42}, {4,39}, {7,40}, {5,52}, {12,18}, {11,18}, {2,50} }; // ETB52.67 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8255648563200000000 EdgesBipt[52][66]:={ {2,44}, {11,17}, {3,33}, {2,24}, {10,24}, {10,25}, {9,28}, {4,27}, {7,15}, {11,35}, {5,34}, {4,24}, {3,22}, {3,40}, {4,16}, {10,37}, {4,30}, {11,25}, {8,30}, {7,48}, {6,17}, {2,23}, {1,13}, {8,43}, {2,51}, {12,22}, {12,32}, {8,42}, {4,29}, {3,25}, {3,15}, {12,38}, {2,15}, {4,19}, {9,44}, {2,19}, {9,49}, {2,27}, {10,33}, {12,42}, {5,20}, {9,43}, {7,34}, {8,39}, {1,21}, {11,41}, {10,44}, {2,28}, {12,34}, {1,30}, {8,15}, {9,35}, {8,27}, {8,31}, {12,50}, {3,17}, {4,38}, {6,47}, {3,46}, {10,48}, {6,31}, {11,33}, {1,38}, {1,17}, {2,36}, {1,50}, {4,22}, {8,19}, {3,49}, {1,18}, {3,14}, {5,50}, {9,27}, {12,20}, {12,36}, {5,29}, {8,47}, {12,46}, {9,19}, {11,49}, {2,52}, {10,52}, {5,43}, {12,44}, {8,14}, {11,51}, {7,39}, {9,41}, {2,39}, {7,32}, {11,13}, {11,15}, {10,41}, {4,45}, {7,13}, {9,14}, {10,28}, {11,31}, {2,35}, {1,22}, {12,16}, {4,21}, {10,29}, {6,49}, {10,21}, {2,20}, {6,18}, {2,48}, {10,40}, {1,29}, {7,50}, {2,16}, {3,39}, {3,32}, {11,21}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {6,50}, {11,23}, {11,29}, {6,44}, {4,48}, {12,28}, {8,22}, {1,45}, {8,35}, {9,20}, {4,13}, {9,51}, {4,43}, {1,33}, {10,13}, {10,45}, {6,23}, {4,46}, {5,28}, {8,26}, {5,42}, {12,26}, {9,22}, {7,31}, {6,15}, {7,47}, {1,42}, {1,49}, {5,44}, {11,39}, {6,26}, {12,40}, {12,30}, {3,23}, {8,23}, {10,32}, {12,14}, {5,36}, {1,25}, {1,46}, {5,51}, {7,29}, {6,41}, {6,28}, {9,30}, {1,37}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {6,36}, {3,30}, {8,34}, {10,17}, {4,51}, {3,24}, {11,37}, {11,27}, {8,38}, {1,26}, {10,36}, {4,14}, {3,48}, {8,50}, {9,17}, {2,47}, {6,25}, {10,49}, {2,40}, {2,31}, {9,33}, {9,36}, {12,52}, {6,34}, {11,47}, {5,27}, {5,26}, {8,18}, {6,52}, {9,38}, {11,19}, {12,48}, {3,38}, {9,52}, {11,45}, {5,13}, {12,24}, {7,45}, {8,46}, {1,41}, {5,45}, {3,41}, {7,24}, {3,31}, {1,14}, {9,46}, {8,51}, {10,20}, {6,39}, {3,47}, {5,19}, {6,20}, {11,43}, {5,21}, {7,37}, {5,35}, {1,34}, {5,37}, {2,43}, {7,40}, {7,42}, {7,21}, {5,52}, {4,32}, {12,18}, {7,18}, {10,16} }; // ETB52.68 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7608405715845120 EdgesBipt[52][67]:={ {6,48}, {5,17}, {1,20}, {10,24}, {9,28}, {2,33}, {6,16}, {6,32}, {4,27}, {5,34}, {4,24}, {3,40}, {12,45}, {4,30}, {4,50}, {2,23}, {1,13}, {8,43}, {5,38}, {9,45}, {12,22}, {12,32}, {4,29}, {8,33}, {7,41}, {1,40}, {10,26}, {2,15}, {4,19}, {9,44}, {7,22}, {2,27}, {12,42}, {5,47}, {9,43}, {8,39}, {1,21}, {11,41}, {7,51}, {11,14}, {12,35}, {7,36}, {8,25}, {10,44}, {2,28}, {1,30}, {5,32}, {8,15}, {9,35}, {8,31}, {8,27}, {12,37}, {12,50}, {2,42}, {10,22}, {6,22}, {11,28}, {10,30}, {2,45}, {6,21}, {3,34}, {2,25}, {11,38}, {3,46}, {10,48}, {6,31}, {11,33}, {9,48}, {1,50}, {5,22}, {8,19}, {3,49}, {10,38}, {3,14}, {12,17}, {12,20}, {12,36}, {5,29}, {8,41}, {2,38}, {8,47}, {12,46}, {11,49}, {2,37}, {2,52}, {10,52}, {7,46}, {8,45}, {11,51}, {7,39}, {7,32}, {11,13}, {1,31}, {4,45}, {7,49}, {9,14}, {10,28}, {11,31}, {2,35}, {11,44}, {1,51}, {3,44}, {4,47}, {6,43}, {12,16}, {3,20}, {9,34}, {3,51}, {2,13}, {6,18}, {2,48}, {9,50}, {10,40}, {8,17}, {3,39}, {11,21}, {4,35}, {9,25}, {7,16}, {7,26}, {6,33}, {2,32}, {5,18}, {1,23}, {11,23}, {11,29}, {7,17}, {6,46}, {5,24}, {12,47}, {5,49}, {12,25}, {8,13}, {1,45}, {5,48}, {8,35}, {10,42}, {5,14}, {9,20}, {4,15}, {3,50}, {10,46}, {1,33}, {3,29}, {6,23}, {1,43}, {3,26}, {8,37}, {5,28}, {5,42}, {12,26}, {7,31}, {2,17}, {6,51}, {7,47}, {9,13}, {12,27}, {9,40}, {8,21}, {3,19}, {11,24}, {5,44}, {11,39}, {6,26}, {12,40}, {12,30}, {8,23}, {10,32}, {3,21}, {1,25}, {1,46}, {7,29}, {6,41}, {1,15}, {6,28}, {12,15}, {9,30}, {1,35}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {6,36}, {3,30}, {9,18}, {3,24}, {1,26}, {2,22}, {4,34}, {1,16}, {10,36}, {4,14}, {10,34}, {10,18}, {2,47}, {6,38}, {4,49}, {10,50}, {9,33}, {12,52}, {5,27}, {8,49}, {6,52}, {9,38}, {11,19}, {4,25}, {4,20}, {11,48}, {7,27}, {1,41}, {3,41}, {3,31}, {9,24}, {8,51}, {10,20}, {10,14}, {11,34}, {5,19}, {11,43}, {9,15}, {6,13}, {7,37}, {2,18}, {7,52}, {5,37}, {7,19}, {2,43}, {4,17}, {3,36}, {4,39}, {7,42}, {4,44}, {9,23}, {7,21}, {8,29}, {5,52}, {11,18}, {1,36}, {10,16} }; // ETB52.69 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1509949440 EdgesBipt[52][68]:={ {6,48}, {2,44}, {3,33}, {2,24}, {5,17}, {10,25}, {11,20}, {9,28}, {4,27}, {12,29}, {11,35}, {5,34}, {4,26}, {3,40}, {10,37}, {8,30}, {2,23}, {1,13}, {9,45}, {12,32}, {7,38}, {4,29}, {3,13}, {8,33}, {10,23}, {7,41}, {2,15}, {4,19}, {12,39}, {8,52}, {12,41}, {9,49}, {10,33}, {3,37}, {9,43}, {12,35}, {7,36}, {2,41}, {12,34}, {5,32}, {9,35}, {8,44}, {8,31}, {8,27}, {12,37}, {12,50}, {11,50}, {2,42}, {6,22}, {3,17}, {8,16}, {2,45}, {4,38}, {3,34}, {2,25}, {11,38}, {3,46}, {10,48}, {6,40}, {6,31}, {1,38}, {2,36}, {9,48}, {4,22}, {9,29}, {1,18}, {3,14}, {5,50}, {12,17}, {12,20}, {1,44}, {2,38}, {8,47}, {9,19}, {11,49}, {12,49}, {2,52}, {5,43}, {7,39}, {4,42}, {9,41}, {7,32}, {11,15}, {1,31}, {10,41}, {4,45}, {7,49}, {11,22}, {7,13}, {9,14}, {7,25}, {10,28}, {2,35}, {11,44}, {1,22}, {1,51}, {6,30}, {4,47}, {6,43}, {4,33}, {5,23}, {3,20}, {10,31}, {9,34}, {3,51}, {9,42}, {10,21}, {8,17}, {2,16}, {3,39}, {9,25}, {7,16}, {8,36}, {2,32}, {6,50}, {1,23}, {6,24}, {11,29}, {5,30}, {6,44}, {7,17}, {6,46}, {11,30}, {5,24}, {12,47}, {4,48}, {8,13}, {1,45}, {5,14}, {9,20}, {1,28}, {4,13}, {3,50}, {3,27}, {4,28}, {1,33}, {10,13}, {10,45}, {6,23}, {1,43}, {3,26}, {4,46}, {8,37}, {8,26}, {10,51}, {9,22}, {6,15}, {5,41}, {10,43}, {6,51}, {7,47}, {12,27}, {9,40}, {11,52}, {8,32}, {1,42}, {3,19}, {1,24}, {5,31}, {11,24}, {5,44}, {6,26}, {12,19}, {12,40}, {12,30}, {12,14}, {5,36}, {1,25}, {1,46}, {11,46}, {5,51}, {7,29}, {6,28}, {12,15}, {6,14}, {10,39}, {6,42}, {11,26}, {4,40}, {2,21}, {3,30}, {10,17}, {2,29}, {11,27}, {8,38}, {1,26}, {2,22}, {1,16}, {10,36}, {3,48}, {8,50}, {10,34}, {11,32}, {8,24}, {4,49}, {11,40}, {12,52}, {6,34}, {11,47}, {8,18}, {4,18}, {9,39}, {4,25}, {10,19}, {4,20}, {3,28}, {7,27}, {7,45}, {8,46}, {1,48}, {3,31}, {8,51}, {5,15}, {7,33}, {3,47}, {10,14}, {6,20}, {5,21}, {9,15}, {7,37}, {5,35}, {2,18}, {7,52}, {5,37}, {7,19}, {2,43}, {6,35}, {9,21}, {11,42}, {4,39}, {9,23}, {7,21}, {5,52}, {11,18}, {1,36}, {12,21}, {2,49}, {7,18}, {10,16}, {5,16} }; // ETB52.70 // Bipartite(12,40) Valencies [20,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 754974720 EdgesBipt[52][69]:={ {6,48}, {2,44}, {2,24}, {1,20}, {5,17}, {10,24}, {10,25}, {9,28}, {2,33}, {6,16}, {11,36}, {2,46}, {7,15}, {4,24}, {12,51}, {3,40}, {4,30}, {4,50}, {11,25}, {8,30}, {7,48}, {6,17}, {2,23}, {1,13}, {12,22}, {12,32}, {7,38}, {4,29}, {1,32}, {3,45}, {8,33}, {1,27}, {3,25}, {7,41}, {1,40}, {4,19}, {9,44}, {7,22}, {12,39}, {4,31}, {9,49}, {12,42}, {5,47}, {3,37}, {2,26}, {8,39}, {1,21}, {7,51}, {11,14}, {3,52}, {8,25}, {10,44}, {2,41}, {5,32}, {8,15}, {4,23}, {12,37}, {2,42}, {10,15}, {10,22}, {6,29}, {3,17}, {2,45}, {6,47}, {6,21}, {3,34}, {2,25}, {11,38}, {2,36}, {9,48}, {5,22}, {8,19}, {3,49}, {9,29}, {10,38}, {3,14}, {10,47}, {12,17}, {12,20}, {12,36}, {1,44}, {5,29}, {12,46}, {9,19}, {2,52}, {5,43}, {8,14}, {7,46}, {8,45}, {11,51}, {5,25}, {10,41}, {7,43}, {11,31}, {11,44}, {6,43}, {12,16}, {5,23}, {10,29}, {3,20}, {10,31}, {6,49}, {3,51}, {2,13}, {9,42}, {10,21}, {6,18}, {4,52}, {9,50}, {10,40}, {7,30}, {7,50}, {8,17}, {2,16}, {3,32}, {4,35}, {7,26}, {6,33}, {2,32}, {11,23}, {7,17}, {12,47}, {4,48}, {12,28}, {5,49}, {8,13}, {8,35}, {10,42}, {9,20}, {4,15}, {1,28}, {3,50}, {4,28}, {1,33}, {4,43}, {10,45}, {3,29}, {6,23}, {8,37}, {8,26}, {10,51}, {5,42}, {1,52}, {12,26}, {9,22}, {7,31}, {9,13}, {12,27}, {9,40}, {1,24}, {6,27}, {11,24}, {11,39}, {8,40}, {12,19}, {12,40}, {3,21}, {1,46}, {11,46}, {6,41}, {1,15}, {6,28}, {6,14}, {9,30}, {1,35}, {5,39}, {7,28}, {3,16}, {11,26}, {10,35}, {7,23}, {11,16}, {6,36}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {4,51}, {11,27}, {8,38}, {10,27}, {1,26}, {2,22}, {4,34}, {4,14}, {8,50}, {10,18}, {10,49}, {1,47}, {6,38}, {4,49}, {9,33}, {9,36}, {12,52}, {6,34}, {11,47}, {5,27}, {8,18}, {9,39}, {9,38}, {11,19}, {12,48}, {11,45}, {5,13}, {8,20}, {8,46}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {1,14}, {9,24}, {10,20}, {5,15}, {6,37}, {12,31}, {11,34}, {5,19}, {7,35}, {11,43}, {2,30}, {6,13}, {7,37}, {5,35}, {1,34}, {5,37}, {2,43}, {3,36}, {9,16}, {4,39}, {7,42}, {4,44}, {7,21}, {5,52}, {4,32}, {11,18}, {2,50}, {7,18} }; // ETB52.71 // Bipartite(10,42) Valencies [21,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 983409657784565760000000 EdgesBipt[52][70]:={ {2,44}, {8,48}, {1,11}, {2,24}, {1,20}, {5,17}, {9,28}, {6,32}, {4,27}, {2,46}, {7,15}, {4,24}, {8,12}, {3,22}, {3,40}, {4,30}, {8,30}, {7,48}, {1,13}, {8,43}, {5,38}, {9,45}, {8,42}, {8,28}, {4,29}, {1,32}, {3,13}, {3,43}, {3,25}, {10,23}, {9,44}, {8,52}, {1,19}, {10,33}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {7,51}, {7,36}, {3,52}, {8,25}, {2,28}, {2,14}, {5,32}, {4,23}, {8,31}, {2,42}, {10,15}, {10,22}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {3,46}, {6,31}, {1,38}, {2,34}, {1,17}, {2,36}, {1,50}, {3,49}, {8,19}, {10,47}, {9,32}, {5,50}, {9,26}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,52}, {10,52}, {7,39}, {4,42}, {1,31}, {10,41}, {4,45}, {7,49}, {7,13}, {9,14}, {7,43}, {7,25}, {10,28}, {4,47}, {6,43}, {4,33}, {5,23}, {4,21}, {10,29}, {9,34}, {6,49}, {10,21}, {2,20}, {2,48}, {9,50}, {10,40}, {1,29}, {7,30}, {2,16}, {4,35}, {2,32}, {6,33}, {8,36}, {5,18}, {6,50}, {1,23}, {5,30}, {6,44}, {5,24}, {4,48}, {8,13}, {8,22}, {5,48}, {5,14}, {9,20}, {4,15}, {3,11}, {9,51}, {10,46}, {10,45}, {3,29}, {1,43}, {8,37}, {10,51}, {5,42}, {9,22}, {7,31}, {6,15}, {5,41}, {4,36}, {6,51}, {5,12}, {9,40}, {3,19}, {6,27}, {1,49}, {5,44}, {6,26}, {8,40}, {3,23}, {5,36}, {1,25}, {6,19}, {6,14}, {10,11}, {10,39}, {1,35}, {1,37}, {3,16}, {10,35}, {8,34}, {10,17}, {4,51}, {6,45}, {10,27}, {1,26}, {2,22}, {10,34}, {8,24}, {6,25}, {1,47}, {6,38}, {2,40}, {9,33}, {8,49}, {5,26}, {8,18}, {4,18}, {9,39}, {9,38}, {4,11}, {4,12}, {9,52}, {3,28}, {7,27}, {7,45}, {8,46}, {1,41}, {3,41}, {7,24}, {3,31}, {2,12}, {1,14}, {9,46}, {6,39}, {7,33}, {6,37}, {3,47}, {6,20}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {4,39}, {7,42}, {7,21}, {2,50}, {7,18}, {10,16} }; // ETB52.72 // Bipartite(24,28) Valencies [21,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4161629115065460326400000000 EdgesBipt[52][71]:={ {13,25}, {3,42}, {15,28}, {13,40}, {24,33}, {11,42}, {16,28}, {20,33}, {20,25}, {22,37}, {14,29}, {7,47}, {2,26}, {8,28}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {18,51}, {3,47}, {11,52}, {11,34}, {12,25}, {2,39}, {7,28}, {18,38}, {15,50}, {20,27}, {1,32}, {4,28}, {19,51}, {8,36}, {17,29}, {18,49}, {9,49}, {10,29}, {24,52}, {12,52}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {10,27}, {1,41}, {23,50}, {2,38}, {4,52}, {12,27}, {6,34}, {1,49}, {11,39}, {24,39}, {16,33}, {19,38}, {7,26}, {11,27}, {8,44}, {13,29}, {13,48}, {18,37}, {20,29}, {10,42}, {9,41}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {18,29}, {19,30}, {22,29}, {8,52}, {14,27}, {16,51}, {17,42}, {11,47}, {20,28}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {10,51}, {15,51}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {7,51}, {8,39}, {7,34}, {22,45}, {15,43}, {18,27}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {5,46}, {15,34}, {12,44}, {8,35}, {11,38}, {1,50}, {24,44}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {21,37}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {21,25}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,40}, {5,28}, {9,37}, {17,26}, {24,49}, {19,44}, {22,46}, {9,52}, {9,29}, {23,46}, {4,33}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {19,32}, {21,45}, {19,52}, {1,28}, {3,43}, {16,48}, {3,36}, {17,46}, {7,42}, {24,25}, {6,43}, {11,50}, {23,26}, {12,47}, {12,49}, {2,51}, {6,37}, {12,28}, {17,28}, {23,32}, {7,36}, {13,26}, {22,33}, {14,37}, {10,46}, {7,43}, {20,31}, {8,33}, {13,50}, {9,44}, {9,42}, {21,50}, {16,37}, {13,32}, {2,25}, {17,36}, {21,29}, {23,28}, {3,28}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {17,50}, {11,51}, {15,30}, {4,40}, {23,38}, {16,36}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {2,42}, {9,46}, {24,51}, {7,35}, {23,48}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {1,34}, {4,47}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {1,48}, {15,44}, {8,51}, {19,36}, {9,34}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {15,31}, {10,35}, {24,47}, {4,27}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {6,51}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {23,40}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {24,28}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {3,52}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {18,46}, {23,51}, {1,45}, {10,30}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {16,39}, {1,38}, {5,37}, {3,44}, {2,29}, {19,27}, {1,36}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {23,35}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {7,39}, {9,38}, {1,33}, {6,33}, {19,26}, {22,34}, {15,52}, {19,48}, {9,36}, {18,47}, {6,27}, {21,41}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {6,30}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {21,32}, {24,40}, {23,30}, {21,26}, {22,31}, {20,47}, {16,45}, {22,35}, {7,50}, {12,43}, {19,34}, {10,45}, {23,42}, {21,49}, {3,40}, {23,27}, {22,42}, {12,36}, {13,49}, {23,47}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {21,38}, {6,41}, {10,49}, {4,36}, {6,29}, {2,31} }; // ETB52.73 // Bipartite(24,28) Valencies [21,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 67722117120 EdgesBipt[52][72]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {11,42}, {14,48}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {14,47}, {8,31}, {12,42}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {2,39}, {7,28}, {18,38}, {15,50}, {20,27}, {1,32}, {19,51}, {8,36}, {13,43}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {5,43}, {22,51}, {22,25}, {14,25}, {3,25}, {1,41}, {23,50}, {4,30}, {21,35}, {20,42}, {2,38}, {2,52}, {23,45}, {4,52}, {12,27}, {4,38}, {1,49}, {24,39}, {21,31}, {7,26}, {11,27}, {18,28}, {8,44}, {13,51}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {9,41}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {3,32}, {3,27}, {11,31}, {11,37}, {18,29}, {22,29}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {11,47}, {23,49}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {17,51}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {8,40}, {1,31}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {21,42}, {8,39}, {22,32}, {7,34}, {22,45}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {16,42}, {15,34}, {24,30}, {16,30}, {8,35}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {24,43}, {2,44}, {17,48}, {2,45}, {23,52}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {2,28}, {20,43}, {1,27}, {9,25}, {12,39}, {12,33}, {5,38}, {1,37}, {6,52}, {21,37}, {3,50}, {2,34}, {15,27}, {14,35}, {5,42}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {21,25}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {24,49}, {11,41}, {19,44}, {22,46}, {8,34}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {23,26}, {7,29}, {12,49}, {3,37}, {17,28}, {23,32}, {9,39}, {13,26}, {10,46}, {22,33}, {20,31}, {11,45}, {10,28}, {13,50}, {9,44}, {21,50}, {13,35}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {14,28}, {12,45}, {10,36}, {8,41}, {15,42}, {13,46}, {2,40}, {17,50}, {11,51}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {15,46}, {3,26}, {4,49}, {5,48}, {9,40}, {7,46}, {6,47}, {20,37}, {11,33}, {1,34}, {24,35}, {13,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {19,43}, {16,27}, {14,46}, {9,30}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {1,40}, {10,26}, {17,31}, {1,48}, {23,41}, {8,51}, {19,36}, {9,34}, {16,41}, {13,28}, {16,52}, {17,44}, {6,32}, {10,35}, {24,47}, {4,27}, {18,36}, {7,27}, {15,35}, {5,41}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {2,43}, {13,44}, {16,40}, {6,51}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {24,27}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {24,28}, {14,52}, {5,49}, {6,25}, {11,43}, {3,52}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {12,51}, {11,46}, {4,31}, {3,41}, {15,39}, {17,49}, {10,39}, {19,47}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {2,46}, {23,35}, {15,41}, {19,45}, {16,44}, {4,50}, {17,41}, {4,48}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {15,52}, {16,50}, {9,36}, {10,40}, {18,47}, {6,27}, {21,41}, {12,40}, {17,40}, {7,45}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {18,32}, {24,40}, {23,30}, {21,26}, {22,35}, {7,50}, {12,43}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {3,33}, {23,47}, {19,25}, {15,26}, {21,28}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {8,50}, {21,38}, {6,41}, {10,49}, {4,36}, {6,29}, {2,31} }; // ETB52.74 // Bipartite(8,44) Valencies [22,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 324962196659591491407052800000000 EdgesBipt[52][73]:={ {5,17}, {1,20}, {2,33}, {4,27}, {2,46}, {7,15}, {4,26}, {3,40}, {4,30}, {4,50}, {8,30}, {7,48}, {6,17}, {1,13}, {8,43}, {8,42}, {1,32}, {3,43}, {3,15}, {7,44}, {1,40}, {4,19}, {4,31}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {7,51}, {2,9}, {7,36}, {8,10}, {3,52}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {2,42}, {6,22}, {6,29}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {7,12}, {4,10}, {2,34}, {1,17}, {4,22}, {8,19}, {7,11}, {7,20}, {1,44}, {5,29}, {2,10}, {2,38}, {8,47}, {2,37}, {8,14}, {7,39}, {4,42}, {5,25}, {7,32}, {3,12}, {7,43}, {3,44}, {6,30}, {4,47}, {3,20}, {6,49}, {3,51}, {2,13}, {6,18}, {1,29}, {3,39}, {3,32}, {4,35}, {7,16}, {6,33}, {1,12}, {6,50}, {6,46}, {8,11}, {5,24}, {5,49}, {1,45}, {8,22}, {1,9}, {5,48}, {8,35}, {4,15}, {1,28}, {3,11}, {3,27}, {4,43}, {1,33}, {4,46}, {5,28}, {8,26}, {1,52}, {7,31}, {5,41}, {2,17}, {7,47}, {5,12}, {3,19}, {1,24}, {1,49}, {5,44}, {6,26}, {3,23}, {8,23}, {5,36}, {1,25}, {6,9}, {6,41}, {6,14}, {1,37}, {7,28}, {3,16}, {6,42}, {7,23}, {2,21}, {5,33}, {8,34}, {4,51}, {3,24}, {2,29}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {8,50}, {6,25}, {6,38}, {6,34}, {6,10}, {8,18}, {4,18}, {5,9}, {4,11}, {5,13}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {1,48}, {7,24}, {3,31}, {8,51}, {6,37}, {3,47}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {7,52}, {5,37}, {7,19}, {3,36}, {4,39}, {7,40}, {5,52}, {1,36}, {2,50}, {2,49}, {5,16} }; // ETB52.75 // Bipartite(4,48) Valencies [24,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 421151006870830572863540428800000000 EdgesBipt[52][74]:={ {4,35}, {3,15}, {2,38}, {4,42}, {4,14}, {2,22}, {3,7}, {4,27}, {1,40}, {1,25}, {2,37}, {3,32}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {4,6}, {1,52}, {3,31}, {2,18}, {4,26}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {2,14}, {3,11}, {2,10}, {2,41}, {4,7}, {4,46}, {1,36}, {4,39}, {1,17}, {2,50}, {3,40}, {1,16}, {2,17}, {2,13}, {1,12}, {4,43}, {3,23}, {4,31}, {2,42}, {3,27}, {2,34}, {4,30}, {3,47}, {4,15}, {2,9}, {4,38}, {4,11}, {3,52}, {4,51}, {3,35}, {2,21}, {2,46}, {4,22}, {1,49}, {3,28}, {3,24}, {3,12}, {2,49}, {2,6}, {1,41}, {3,44}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {4,18}, {2,26}, {3,8}, {3,20}, {4,50}, {1,33}, {2,25}, {1,28}, {3,36}, {3,43}, {4,34}, {4,47}, {1,45}, {4,23}, {1,8}, {2,30}, {1,21}, {1,48}, {4,19}, {4,10}, {2,5}, {1,24}, {2,45} }; // ETB52.76 // Bipartite(4,48) Valencies [24,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 103117976532110882635776000000 EdgesBipt[52][75]:={ {3,15}, {1,43}, {2,38}, {4,14}, {1,11}, {4,8}, {4,27}, {3,7}, {1,31}, {2,11}, {1,46}, {1,40}, {2,20}, {4,40}, {1,25}, {4,16}, {2,47}, {1,5}, {4,44}, {3,30}, {3,45}, {1,52}, {3,31}, {2,18}, {4,26}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {1,34}, {2,14}, {4,20}, {2,41}, {2,23}, {1,10}, {4,46}, {4,39}, {1,17}, {3,13}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {4,33}, {2,17}, {4,28}, {3,9}, {4,45}, {2,42}, {3,27}, {1,19}, {4,21}, {2,35}, {4,15}, {1,35}, {2,44}, {4,38}, {2,24}, {3,42}, {4,51}, {1,23}, {2,48}, {1,7}, {2,12}, {4,22}, {1,49}, {3,24}, {3,12}, {2,6}, {3,21}, {3,49}, {1,41}, {4,32}, {3,39}, {2,8}, {1,37}, {1,13}, {3,25}, {2,26}, {4,52}, {4,50}, {3,6}, {1,28}, {3,36}, {4,9}, {3,37}, {3,43}, {4,34}, {1,47}, {3,33}, {2,30}, {4,10}, {2,5} }; // ETB52.77 // Bipartite(20,32) Valencies [24,15] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[52][76]:={ {13,25}, {3,42}, {13,40}, {4,46}, {20,26}, {3,29}, {16,28}, {4,26}, {20,25}, {7,47}, {19,22}, {20,50}, {8,28}, {14,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {11,52}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {19,37}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {20,42}, {4,52}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {11,35}, {3,27}, {3,32}, {11,37}, {8,38}, {19,30}, {5,47}, {16,51}, {11,47}, {20,28}, {12,35}, {12,48}, {11,36}, {11,21}, {19,40}, {10,51}, {15,51}, {17,51}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {16,23}, {20,44}, {5,45}, {3,48}, {9,22}, {7,51}, {7,34}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {1,26}, {18,31}, {9,27}, {14,51}, {3,51}, {18,42}, {15,34}, {12,44}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {2,44}, {2,45}, {19,35}, {16,34}, {8,49}, {10,48}, {19,31}, {8,21}, {18,26}, {14,23}, {4,45}, {18,21}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {12,33}, {5,38}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {12,21}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,34}, {10,31}, {11,49}, {19,32}, {7,37}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {20,23}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {13,26}, {14,37}, {10,46}, {11,24}, {8,33}, {20,31}, {10,28}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {6,45}, {18,43}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {16,22}, {4,49}, {14,26}, {18,23}, {5,48}, {14,31}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {7,25}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {19,43}, {16,27}, {14,46}, {5,40}, {16,31}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {6,22}, {13,28}, {16,25}, {17,44}, {2,33}, {6,32}, {15,31}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {13,21}, {2,43}, {3,38}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,21}, {20,35}, {15,38}, {14,30}, {8,32}, {17,24}, {7,52}, {12,23}, {5,31}, {4,51}, {4,25}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {14,52}, {5,49}, {6,25}, {13,39}, {11,43}, {3,52}, {19,42}, {19,50}, {17,34}, {18,46}, {1,45}, {10,30}, {17,39}, {7,32}, {13,38}, {11,26}, {12,51}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {17,49}, {10,39}, {19,47}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {7,41}, {3,44}, {8,23}, {20,30}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {18,40}, {9,24}, {20,48}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {19,45}, {7,21}, {2,50}, {17,41}, {11,30}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {19,26}, {4,23}, {15,52}, {16,50}, {19,48}, {9,36}, {10,40}, {16,21}, {18,47}, {12,40}, {7,45}, {8,46}, {20,41}, {15,32}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {11,22}, {1,51}, {18,32}, {20,47}, {16,45}, {7,50}, {5,39}, {1,21}, {19,34}, {10,45}, {3,40}, {20,46}, {13,49}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.78 // Bipartite(20,32) Valencies [24,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13152803129095775846400000000 EdgesBipt[52][77]:={ {13,25}, {3,42}, {15,28}, {13,40}, {11,42}, {16,28}, {20,33}, {20,25}, {14,29}, {7,47}, {2,26}, {19,22}, {8,28}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {7,24}, {18,51}, {3,47}, {11,52}, {11,34}, {12,25}, {2,39}, {7,28}, {18,38}, {15,50}, {20,27}, {1,32}, {4,28}, {19,51}, {8,36}, {9,21}, {17,29}, {18,49}, {9,49}, {10,29}, {13,22}, {12,52}, {12,32}, {2,30}, {14,25}, {10,27}, {1,41}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {17,22}, {1,49}, {11,39}, {2,21}, {16,33}, {19,38}, {7,26}, {11,27}, {8,44}, {13,29}, {13,48}, {10,22}, {18,37}, {20,29}, {10,42}, {9,41}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {18,29}, {19,30}, {8,52}, {14,27}, {16,51}, {17,42}, {11,47}, {20,28}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,40}, {10,51}, {3,22}, {15,51}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {7,51}, {8,39}, {7,34}, {15,43}, {18,27}, {11,44}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {5,46}, {15,34}, {12,44}, {8,35}, {11,38}, {1,50}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {16,43}, {8,47}, {6,39}, {10,50}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {19,31}, {8,21}, {18,26}, {14,23}, {4,45}, {18,21}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {5,28}, {4,21}, {9,37}, {12,21}, {17,26}, {19,44}, {9,52}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {19,32}, {19,52}, {1,28}, {3,43}, {16,48}, {20,23}, {3,36}, {17,46}, {7,42}, {6,43}, {11,50}, {12,47}, {18,22}, {12,49}, {2,51}, {6,37}, {12,28}, {17,28}, {5,21}, {7,36}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {8,33}, {20,31}, {13,50}, {9,44}, {15,23}, {9,42}, {16,37}, {13,32}, {2,25}, {17,36}, {3,28}, {12,24}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {17,50}, {11,51}, {15,30}, {4,40}, {16,36}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {2,42}, {9,46}, {7,35}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {1,34}, {19,23}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {19,43}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {19,36}, {9,34}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {15,31}, {10,35}, {4,27}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {6,51}, {9,33}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {7,52}, {12,23}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {3,52}, {20,51}, {19,42}, {19,50}, {17,34}, {18,46}, {1,45}, {10,30}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {16,39}, {1,38}, {5,37}, {3,44}, {8,23}, {2,29}, {14,21}, {19,27}, {1,36}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {16,44}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {1,33}, {6,33}, {19,26}, {4,23}, {15,52}, {19,48}, {9,36}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {6,30}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {4,43}, {11,22}, {16,32}, {9,32}, {20,47}, {16,45}, {7,50}, {12,43}, {1,21}, {19,34}, {6,21}, {10,45}, {3,40}, {12,36}, {13,49}, {10,21}, {1,24}, {17,21}, {15,26}, {18,41}, {16,49}, {12,37}, {17,30}, {5,24}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {16,24}, {6,41}, {10,49}, {4,36}, {6,29}, {2,31} }; // ETB52.79 // Bipartite(20,32) Valencies [24,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 377487360 EdgesBipt[52][78]:={ {13,25}, {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {19,37}, {17,29}, {18,49}, {10,29}, {15,33}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {3,25}, {4,30}, {2,38}, {20,42}, {1,49}, {11,39}, {2,21}, {16,33}, {19,38}, {18,28}, {8,44}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {19,30}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {20,28}, {10,25}, {12,35}, {12,48}, {14,22}, {11,21}, {19,40}, {3,22}, {15,51}, {5,23}, {2,37}, {14,43}, {7,30}, {5,26}, {6,31}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {3,48}, {4,41}, {9,22}, {8,39}, {7,34}, {15,43}, {18,27}, {12,38}, {11,44}, {18,35}, {15,24}, {1,26}, {18,31}, {9,27}, {14,51}, {19,21}, {18,42}, {5,46}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {20,39}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {8,21}, {18,26}, {4,45}, {18,21}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {9,37}, {17,26}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {18,52}, {15,40}, {1,44}, {13,23}, {19,32}, {7,37}, {19,52}, {1,28}, {3,43}, {18,48}, {3,36}, {20,23}, {14,36}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {12,49}, {2,51}, {6,37}, {1,35}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {13,32}, {10,24}, 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{8,50}, {6,41}, {10,49}, {12,46}, {6,29}, {2,31} }; // ETB52.80 // Bipartite(26,26) Valencies [24,24] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 835776583984742400 EdgesBipt[52][79]:={ {3,42}, {7,49}, {15,28}, {26,50}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {26,33}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,34}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {9,49}, {10,29}, {15,33}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {10,27}, {4,30}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {21,31}, {16,33}, {19,38}, {11,27}, {18,28}, {8,44}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, 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{21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.81 // Bipartite(26,26) Valencies [25,25] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 806582922253211271168000000 EdgesBipt[52][80]:={ {3,42}, {7,49}, {15,28}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {26,33}, {20,50}, {8,28}, {3,49}, {14,49}, 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{9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {26,31}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {4,29}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, 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{10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {26,38}, {15,49}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {12,34}, {23,35}, {15,41}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {24,40}, {20,47}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {6,41}, {10,49}, {4,36}, {6,29}, {2,31} }; // ETB52.82 // Bipartite(26,26) Valencies [26,26] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 325288005235264929014077766819257214042112000000000000 EdgesBipt[52][81]:={ {3,42}, {7,49}, {15,28}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {26,33}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {26,27}, {11,52}, {11,34}, {13,27}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {11,27}, {18,28}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {10,51}, {15,51}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {22,27}, {20,32}, {18,31}, {9,27}, {14,51}, {26,32}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {4,45}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {26,43}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {26,37}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {25,46}, {9,28}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {26,31}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {26,38}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.83 // Bipartite(13,39) Valencies [27,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 73348857593856 EdgesBipt[52][82]:={ {13,21}, {6,52}, {6,38}, {11,49}, {9,32}, {6,25}, {5,22}, {10,18}, {11,25}, {5,43}, {5,45}, {12,22}, {1,49}, {13,37}, {1,40}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {5,15}, {1,19}, {2,49}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,27}, {6,14}, {13,40}, {2,33}, {6,32}, {4,38}, {10,42}, {11,17}, {3,18}, {8,16}, {9,18}, {2,25}, {12,48}, {4,24}, {4,43}, {2,52}, {4,30}, {8,30}, {9,33}, {12,46}, {4,16}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {7,41}, {12,38}, {12,26}, {7,27}, {6,39}, {10,26}, {2,17}, {7,33}, {12,40}, {10,20}, {1,24}, {13,24}, {13,47}, {2,48}, {2,15}, {12,23}, {13,20}, {9,35}, {1,36}, {6,18}, {1,29}, {6,44}, {4,23}, {11,18}, {13,26}, {9,47}, {4,49}, {12,52}, {6,24}, {2,29}, {5,34}, {1,38}, {3,17}, {8,49}, {2,36}, {13,41}, {10,51}, {7,15}, {8,22}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {9,20}, {6,51}, {8,19}, {3,38}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {3,31}, {12,27}, {3,51}, {7,37}, {13,49}, {6,27}, {2,30}, {5,35}, {4,21}, {8,48}, {7,19}, {13,18}, {8,50}, {11,21}, {12,47}, {8,17}, {10,16}, {11,36}, {3,30}, {13,48}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {10,36}, {2,51}, {10,38}, {10,46}, {11,33}, {8,24}, {9,38}, {9,26}, {7,46}, {8,45}, {3,29}, {12,17}, {13,36}, {1,41}, {2,23}, {1,51}, {10,19}, {9,22}, {9,19}, {4,47}, {3,44}, {11,44}, {3,25}, {11,34}, {11,46}, {2,43}, {5,52}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {10,29}, {13,22}, {1,25}, {13,50}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {5,39}, {7,28}, {6,45}, {2,16}, {9,25}, {4,50}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {9,52}, {12,25}, {10,52}, {3,42}, {1,16}, {3,22}, {4,14}, {1,48}, {7,39}, {3,41}, {13,14}, {4,36}, {4,29}, {9,44}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {4,44}, {7,40}, {2,41}, {5,23}, {12,43}, {2,26}, {10,40}, {12,14}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {13,44}, {8,27}, {3,48}, {3,33}, {1,45}, {10,15}, {11,30}, {3,34}, {4,27}, {2,22}, {11,47}, {8,43}, {11,45}, {12,36}, {3,14}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {8,14}, {11,31}, {3,15}, {13,34}, {11,41}, {9,50}, {1,14}, {6,26}, {1,34}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {13,33}, {1,15}, {13,15}, {5,49}, {7,26}, {1,50}, {11,37}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {11,20}, {10,27}, {5,17}, {3,40}, {7,17}, {10,45}, {8,35}, {13,23}, {9,45}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {5,42}, {2,38}, {12,32}, {7,43}, {8,20}, {1,27}, {5,44}, {10,23}, {4,52}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {13,46}, {4,39}, {12,35}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {1,37}, {2,42}, {12,21}, {12,51}, {3,46}, {9,48}, {5,48}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB52.84 // Bipartite(16,36) Valencies [27,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 138072866127995816525168640000 EdgesBipt[52][83]:={ {13,21}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {16,51}, {4,28}, {8,51}, {5,45}, {3,26}, {1,49}, {13,37}, {1,40}, {14,38}, {15,44}, {11,43}, {14,50}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {14,45}, {3,39}, {16,37}, {16,28}, {5,32}, {4,51}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {14,29}, {16,21}, {13,40}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {1,52}, {16,48}, {15,32}, {16,49}, {9,33}, {1,17}, {8,37}, {12,20}, {5,41}, {8,52}, {13,30}, {7,27}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {12,40}, {1,24}, {13,24}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {13,42}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {6,46}, {10,35}, {16,43}, {4,23}, {11,18}, {13,26}, {5,50}, {4,49}, {12,52}, {2,29}, {5,34}, {1,38}, {1,26}, {8,49}, {13,41}, {16,40}, {10,51}, {9,36}, {6,34}, {9,29}, {11,51}, {12,49}, {9,20}, {6,51}, {8,19}, {3,38}, {1,18}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {3,47}, {14,35}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {3,51}, {11,22}, {13,49}, {6,27}, {2,30}, {11,42}, {14,34}, {3,36}, {15,50}, {4,21}, {8,48}, {13,17}, {7,19}, {4,32}, {1,30}, {13,18}, {12,47}, {8,17}, {16,29}, {11,36}, {3,30}, {13,48}, {16,17}, {11,23}, {3,24}, {14,33}, {2,51}, {10,38}, {14,23}, {10,46}, {15,34}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {7,46}, {8,45}, {11,52}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {10,19}, {15,23}, {9,22}, {12,41}, {3,44}, {4,47}, {11,44}, {13,45}, {11,34}, {7,35}, {11,46}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {15,52}, {13,22}, {1,25}, {13,50}, {6,19}, {4,17}, {9,30}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {13,29}, {9,25}, {15,46}, {10,22}, {5,40}, {10,30}, {7,23}, {12,45}, {6,22}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {9,52}, {12,25}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {1,48}, {9,41}, {6,23}, {16,31}, {16,45}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {2,19}, {16,44}, {4,44}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {14,47}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {14,51}, {3,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {16,20}, {8,43}, {2,31}, {14,19}, {1,33}, {12,36}, {16,27}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {7,51}, {14,49}, {15,47}, {11,31}, {15,48}, {13,34}, {9,50}, {7,22}, {6,26}, {1,34}, {15,42}, {14,18}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,42}, {16,23}, {4,35}, {13,33}, {15,51}, {14,25}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {11,28}, {5,18}, {16,35}, {11,20}, {14,42}, {10,27}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {8,35}, {10,45}, {6,21}, {15,22}, {9,45}, {14,41}, {15,20}, {16,39}, {1,28}, {13,28}, {16,24}, {16,52}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {5,25}, {10,23}, {4,52}, {15,26}, {1,46}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {16,19}, {9,34}, {13,46}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {1,37}, {8,25}, {2,42}, {4,48}, {16,32}, {6,33}, {12,21}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37} }; // ETB52.85 // Bipartite(16,36) Valencies [27,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1253826625536 EdgesBipt[52][84]:={ {15,33}, {7,48}, {11,40}, {10,37}, {16,47}, {15,38}, {11,49}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {11,25}, {5,43}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {14,38}, {16,22}, {13,39}, {15,44}, {14,50}, {4,31}, {3,35}, {10,33}, {3,19}, {14,31}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {6,48}, {3,39}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {16,21}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {11,35}, {11,17}, {6,29}, {11,27}, {3,18}, {10,47}, {2,34}, {10,17}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {2,52}, {15,32}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {7,45}, {8,46}, {8,37}, {7,41}, {12,38}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {7,33}, {12,31}, {3,52}, {12,40}, {13,24}, {15,30}, {12,23}, {13,20}, {13,42}, {9,35}, {1,29}, {15,19}, {13,51}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {6,44}, {11,18}, {8,38}, {13,26}, {9,47}, {4,49}, {5,50}, {12,52}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {8,49}, {13,41}, {16,40}, {10,51}, {8,22}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {8,42}, {9,20}, {4,22}, {6,51}, {8,19}, {1,18}, {5,27}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {11,22}, {1,39}, {7,37}, {13,49}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {15,50}, {4,21}, {8,48}, {13,17}, {4,32}, {2,44}, {1,30}, {16,18}, {13,18}, {8,50}, {14,28}, {12,47}, {6,36}, {16,29}, {11,36}, {3,30}, {13,48}, {16,17}, {9,51}, {1,47}, {11,23}, {10,36}, {14,33}, {2,51}, {15,37}, {10,38}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {9,26}, {14,21}, {7,46}, {3,29}, {11,52}, {12,17}, {13,36}, {1,41}, {4,45}, {1,51}, {10,19}, {15,23}, {9,22}, {12,41}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {11,46}, {5,52}, {2,27}, {12,30}, {4,33}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {5,19}, {10,29}, {15,52}, {1,25}, {13,50}, {6,19}, {2,20}, {4,17}, {13,31}, {5,39}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {12,18}, {8,34}, {13,29}, {14,52}, {9,25}, {5,40}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {9,52}, {3,42}, {10,52}, {14,43}, {15,40}, {13,38}, {15,49}, {7,49}, {14,40}, {6,23}, {16,31}, {16,45}, {3,41}, {4,36}, {4,29}, {9,44}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {6,20}, {16,44}, {4,44}, {7,40}, {2,41}, {12,50}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {14,51}, {11,30}, {9,28}, {2,21}, {16,46}, {2,22}, {11,47}, {16,20}, {4,46}, {8,43}, {14,19}, {1,33}, {12,36}, {3,45}, {5,26}, {7,47}, {2,37}, {4,42}, {10,41}, {4,25}, {3,28}, {5,47}, {12,39}, {15,47}, {15,48}, {14,24}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {1,34}, {15,42}, {5,21}, {2,50}, {7,42}, {6,41}, {12,34}, {8,44}, {16,23}, {14,20}, {15,21}, {7,26}, {1,50}, {7,18}, {11,37}, {11,28}, {5,18}, {1,23}, {16,35}, {10,24}, {11,20}, {10,27}, {15,18}, {16,33}, {3,40}, {7,17}, {10,45}, {8,35}, {2,40}, {6,21}, {9,45}, {14,41}, {4,26}, {15,20}, {13,28}, {16,24}, {16,52}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {9,49}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {10,23}, {15,26}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {14,17}, {16,19}, {9,34}, {15,43}, {7,36}, {12,35}, {6,35}, {12,19}, {13,52}, {14,48}, {1,37}, {8,25}, {2,42}, {4,48}, {16,32}, {2,32}, {6,33}, {12,51}, {9,48}, {5,33}, {15,25}, {5,30}, {10,49}, {9,37} }; // ETB52.86 // Bipartite(25,27) Valencies [27,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 168899541179849097757309609694614322675712000000000000 EdgesBipt[52][85]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {14,51}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {25,46}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {17,26}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.87 // Bipartite(24,28) Valencies [28,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 189167486121430989488186762857968041396797440000000000 EdgesBipt[52][86]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, 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{13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.88 // Bipartite(23,29) Valencies [29,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 228577379063395778964892338453378050021130240000000000 EdgesBipt[52][87]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, 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{1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.89 // Bipartite(12,40) Valencies [30,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5393471333124836583014400000000 EdgesBipt[52][88]:={ {7,48}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {8,51}, {5,45}, {3,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {2,49}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,39}, {5,32}, {4,51}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {1,52}, {8,13}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {8,52}, {1,13}, {7,27}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {12,40}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {4,23}, {11,18}, {5,50}, {4,49}, {12,52}, {2,29}, {5,34}, {1,38}, {1,26}, {8,49}, {10,51}, {7,15}, {9,36}, {6,34}, {9,29}, {11,51}, {12,49}, {9,20}, {6,51}, {8,19}, {3,38}, {1,18}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {3,51}, {11,22}, {9,13}, {6,27}, {2,30}, {11,42}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {1,30}, {2,13}, {12,15}, {8,15}, {12,47}, {8,17}, {11,36}, {3,30}, {3,16}, {11,23}, {3,24}, {11,16}, {2,51}, {10,38}, {10,46}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {7,46}, {8,45}, {11,52}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {10,19}, {9,22}, {12,41}, {3,44}, {4,47}, {11,44}, {11,34}, {7,35}, {11,46}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {3,32}, {7,28}, {6,45}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {12,45}, {6,22}, {10,25}, {12,29}, {6,31}, {11,32}, {9,52}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {4,36}, {4,29}, {9,44}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {2,19}, {4,44}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {8,29}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {1,45}, {10,50}, {10,15}, {3,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {11,47}, {8,43}, {2,31}, {1,33}, {12,36}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {7,51}, {11,31}, {3,15}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,42}, {4,35}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {11,28}, {7,16}, {5,16}, {5,18}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {6,21}, {9,45}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {5,13}, {5,25}, {10,23}, {4,52}, {1,46}, {4,19}, {8,39}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {4,39}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {6,50}, {1,37}, {8,25}, {2,42}, {4,48}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37} }; // ETB52.90 // Bipartite(22,30) Valencies [30,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 298144407473994494302033484939188760897126400000000000 EdgesBipt[52][89]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {10,51}, {15,51}, {5,23}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {7,52}, {12,23}, {13,31}, {5,31}, {22,23}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.91 // Bipartite(21,31) Valencies [31,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 420112574167901332880138092414311435809587200000000000 EdgesBipt[52][90]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,23}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {7,51}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {7,52}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {18,32}, {21,32}, {21,26}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.92 // Bipartite(20,32) Valencies [32,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 640171541589182983436400902726569806947942400000000000 EdgesBipt[52][91]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,23}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {7,51}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,21}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {18,32}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.93 // Bipartite(8,44) Valencies [33,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 974886589978774474221158400000000 EdgesBipt[52][92]:={ {8,48}, {5,17}, {1,20}, {2,33}, {4,27}, {2,46}, {7,15}, {5,34}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {6,17}, {7,48}, {2,23}, {1,13}, {8,43}, {2,51}, {5,38}, {8,9}, {7,38}, {8,28}, {4,29}, {1,32}, {8,33}, {3,43}, {3,15}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {2,19}, {8,52}, {2,27}, {3,35}, {5,20}, {2,26}, {7,34}, {8,39}, {1,21}, {7,51}, {2,9}, {7,36}, {3,52}, {8,25}, {2,41}, {2,14}, {1,30}, {5,32}, {6,11}, {8,15}, {4,23}, {8,44}, {8,27}, {8,31}, {2,42}, {6,22}, {3,18}, {6,29}, {8,16}, {2,45}, {6,21}, {6,47}, {3,34}, {2,25}, {5,40}, {7,12}, {3,46}, {6,31}, {1,38}, {2,34}, {1,17}, {1,50}, {5,22}, {8,19}, {1,18}, {3,14}, {7,11}, {7,20}, {5,50}, {1,44}, {4,41}, {5,29}, {2,10}, {8,41}, {2,38}, {8,47}, {2,37}, {7,46}, {8,45}, {7,39}, {5,25}, {2,39}, {7,32}, {3,12}, {4,45}, {7,43}, {2,35}, {1,22}, {3,44}, {4,47}, {6,30}, {6,43}, {4,33}, {4,21}, {3,20}, {6,49}, {3,51}, {2,13}, {6,18}, {4,52}, {1,29}, {7,30}, {7,50}, {8,17}, {3,39}, {3,32}, {4,35}, {7,16}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {6,50}, {5,30}, {6,46}, {8,11}, {5,24}, {4,48}, {5,46}, {5,49}, {1,45}, {8,13}, {1,9}, {5,48}, {8,35}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,50}, {3,27}, {4,28}, {1,33}, {4,43}, {3,10}, {6,23}, {3,26}, {8,37}, {5,28}, {5,42}, {1,52}, {7,31}, {6,15}, {2,17}, {4,36}, {5,41}, {6,51}, {7,47}, {5,12}, {8,32}, {1,42}, {8,21}, {3,19}, {4,9}, {1,24}, {6,27}, {1,49}, {5,44}, {6,26}, {8,40}, {3,23}, {8,23}, {5,36}, {1,25}, {6,19}, {1,46}, {6,9}, {6,41}, {6,14}, {2,11}, {1,37}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {3,30}, {5,33}, {4,51}, {3,24}, {2,29}, {6,45}, {1,26}, {2,22}, {1,16}, {3,48}, {8,24}, {2,47}, {6,25}, {6,38}, {4,49}, {2,31}, {6,34}, {6,10}, {5,10}, {8,49}, {5,26}, {3,42}, {5,9}, {4,25}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {7,27}, {1,41}, {5,45}, {1,48}, {3,31}, {7,24}, {1,14}, {8,51}, {6,39}, {6,37}, {3,47}, {7,35}, {5,21}, {2,30}, {6,13}, {2,18}, {1,34}, {7,52}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {4,39}, {7,40}, {4,44}, {7,42}, {8,29}, {4,32}, {5,52}, {1,36}, {2,50}, {2,49}, {7,18}, {5,16} }; // ETB52.94 // Bipartite(19,33) Valencies [33,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1056283043622151922670061489498840181464104960000000000 EdgesBipt[52][93]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.95 // Bipartite(18,34) Valencies [34,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1890190709639640282672741612787398219462082560000000000 EdgesBipt[52][94]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {6,19}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.96 // Bipartite(17,35) Valencies [35,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3675370824299300549641442024864385426731827200000000000 EdgesBipt[52][95]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {6,19}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.97 // Bipartite(4,48) Valencies [36,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1263453020612491718590621286400000000 EdgesBipt[52][96]:={ {4,35}, {3,15}, {2,38}, {2,22}, {3,38}, {3,7}, {3,46}, {4,8}, {4,27}, {2,11}, {4,48}, {1,46}, {1,40}, {4,40}, {1,25}, {4,16}, {4,49}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {4,5}, {1,5}, {1,44}, {3,30}, {4,44}, {1,32}, {3,50}, {3,10}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {4,12}, {3,18}, {1,34}, {2,14}, {3,11}, {2,10}, {4,37}, {4,20}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {1,36}, {4,39}, {1,17}, {1,22}, {2,50}, {1,16}, {3,40}, {2,17}, {4,33}, {4,28}, {1,50}, {2,13}, {3,14}, {1,12}, {4,29}, {3,22}, {4,43}, {3,23}, {4,45}, {4,31}, {2,42}, {3,27}, {2,34}, {4,21}, {4,36}, {2,35}, {4,17}, {3,47}, {2,9}, {4,15}, {4,25}, {1,26}, {4,11}, {3,42}, {2,27}, {3,52}, {4,51}, {2,43}, {3,35}, {2,21}, {2,46}, {2,39}, {1,49}, {3,28}, {3,26}, {3,24}, {3,12}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,41}, {3,44}, {4,32}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {2,26}, {3,8}, {4,52}, {3,20}, {1,33}, {3,6}, {2,25}, {1,28}, {3,36}, {4,9}, {2,7}, {3,43}, {4,41}, {4,47}, {1,45}, {1,8}, {4,23}, {1,30}, {2,30}, {1,21}, {4,13}, {1,6}, {1,48}, {1,18}, {4,19}, {2,5}, {4,24}, {1,24}, {2,45} }; // ETB52.98 // Bipartite(13,39) Valencies [36,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 81329213300067532800 EdgesBipt[52][97]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {5,47}, {13,15}, {11,47}, {13,17}, {11,21}, {3,22}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {9,43}, {11,51}, {3,19}, {4,40}, {2,16}, {7,40}, {10,37}, {6,44}, {2,42}, {10,52}, {7,35}, {4,15}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {6,46}, {2,49}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {11,14}, {9,48}, {13,20}, {13,21}, {2,43}, {3,38}, {13,44}, {1,47}, {6,51}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {12,51}, {11,46}, {4,31}, {2,15}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {13,14}, {6,21}, {9,15}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.99 // Bipartite(16,36) Valencies [36,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7783138216163224693358347817359875021314457600000000000 EdgesBipt[52][98]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {5,47}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {6,19}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.100 // Bipartite(15,37) Valencies [37,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17998507124877457103391179327644710986789683200000000000 EdgesBipt[52][99]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {10,51}, {3,22}, {15,51}, {6,19}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.101 // Bipartite(14,38) Valencies [38,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 45596218049689557995257654296699934499867197440000000000 EdgesBipt[52][100]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {10,51}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {4,42}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.102 // Bipartite(13,39) Valencies [39,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 127018035995563768701074894112235531821058621440000000000 EdgesBipt[52][101]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {10,51}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {12,23}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.103 // Bipartite(12,40) Valencies [40,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 390824726140196211387922751114570867141718835200000000000 EdgesBipt[52][102]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {11,21}, {10,51}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {9,13}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {12,23}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB52.104 // Bipartite(11,41) Valencies [41,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1335317814312337055575402732974783796067539353600000000000 EdgesBipt[52][103]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,17}, {2,39}, {7,28}, {2,24}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {3,25}, {4,12}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {5,47}, {11,47}, {10,25}, {11,36}, {11,21}, {10,51}, {3,22}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {9,13}, {4,42}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {3,34}, {11,14}, {9,48}, {7,12}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {3,40}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {10,15}, {10,49}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB52.105 // Bipartite(10,42) Valencies [42,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5098486200101650575833355889540083584985150259200000000000 EdgesBipt[52][104]:={ {6,52}, {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {3,52}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {6,36}, {8,17}, {10,16}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {2,51}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {9,52}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {10,15}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {8,14}, {7,51}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB52.106 // Bipartite(9,43) Valencies [43,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21923490660437097476083430325022359415436146114560000000000 EdgesBipt[52][105]:={ {6,52}, {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {7,51}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB52.107 // Bipartite(8,44) Valencies [44,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 107181509895470254327518992700109312697687825448960000000000 EdgesBipt[52][106]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {7,51}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB52.108 // Bipartite(7,45) Valencies [45,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 602895993162020180592294333938114883924494018150400000000000 EdgesBipt[52][107]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {7,10}, {7,51}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB52.109 // Bipartite(6,46) Valencies [46,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3961887955064704043892219908736183522932389262131200000000000 EdgesBipt[52][108]:={ {6,52}, {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {6,17}, {5,28}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {6,22}, {4,34}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {6,43}, {5,31}, {2,19}, {6,20}, {4,44}, {2,41}, {5,23}, {5,20}, {2,26}, {2,28}, {2,45}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {1,7}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {1,8}, {4,12}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB52.110 // Bipartite(5,47) Valencies [47,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31034788981340181677155722618433437596303715886694400000000000 EdgesBipt[52][109]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {2,46}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {5,51}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {1,36}, {2,50}, {2,49}, {5,16} }; // ETB52.111 // Bipartite(4,48) Valencies [48,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 297933974220865744100694937136961000924515672512266240000000000 EdgesBipt[52][110]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {3,8}, {3,40}, {4,16}, {1,10}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {3,47}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB52.112 // Bipartite(3,49) Valencies [49,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3649691184205605365233512979927772261325316988275261440000000000 EdgesBipt[52][111]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,52}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB52.113 // Bipartite(2,50) Valencies [50,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60828186403426756087225216332129537688755283137921024000000000000 EdgesBipt[52][112]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {1,35}, {1,26}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB52.114 // Bipartite(1,51) Valencies [51,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 1551118753287382280224243016469303211063259720016986112000000000000 EdgesBipt[52][113]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 52 is 114 // ******************************************************************************************** // Order 53 // ETB53.1 // Bipartite(26,27) Valencies [27,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4391388070676076541690049852059972389568512000000000000 EdgesBipt[53][1]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {26,27}, {11,52}, {11,34}, {13,27}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {11,27}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {10,51}, {15,51}, {5,53}, {13,53}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {22,27}, {20,32}, {9,27}, {18,31}, {14,51}, {26,32}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {4,45}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {26,37}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {25,46}, {9,28}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {26,31}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {26,38}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.2 // Bipartite(25,28) Valencies [28,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4729187153035774737204669071449201034919936000000000000 EdgesBipt[53][2]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {25,41}, {2,37}, {17,51}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {18,53}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {14,51}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {25,46}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.3 // Bipartite(24,29) Valencies [29,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5485857097521498695157416122881073200507125760000000000 EdgesBipt[53][3]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,25}, {6,43}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {17,31}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {23,25}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.4 // Bipartite(23,30) Valencies [30,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6857321371901873368946770153601341500633907200000000000 EdgesBipt[53][4]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {15,24}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {23,26}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {17,31}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, 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{14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.5 // Bipartite(22,31) Valencies [31,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9242476631693829323363038033114851587810918400000000000 EdgesBipt[53][5]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {17,24}, {7,52}, {12,23}, {12,53}, {13,31}, {5,31}, {22,23}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,46}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.6 // Bipartite(21,32) Valencies [32,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13443602373372842652164418957257965945906790400000000000 EdgesBipt[53][6]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {4,30}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {18,53}, {7,51}, {8,39}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, 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{18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, 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{18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {21,26}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.7 // Bipartite(20,33) Valencies [33,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21125660872443038453401229789976803629282099200000000000 EdgesBipt[53][7]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, 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{17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, 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{1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.8 // Bipartite(19,34) Valencies [34,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 35913623483153165370782090642960566169779568640000000000 EdgesBipt[53][8]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, 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{19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, 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{19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.9 // Bipartite(18,35) Valencies [35,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 66156674837387409893545956447558937681172889600000000000 EdgesBipt[53][9]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, 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{10,38}, {3,30}, {18,33}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.10 // Bipartite(17,36) Valencies [36,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 132313349674774819787091912895117875362345779200000000000 EdgesBipt[53][10]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, 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{1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {17,38}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.11 // Bipartite(16,37) Valencies [37,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 287976113998039313654258869242315375788634931200000000000 EdgesBipt[53][11]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.12 // Bipartite(15,38) Valencies [38,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 683943270745343369928864814450499017498007961600000000000 EdgesBipt[53][12]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.13 // Bipartite(14,39) Valencies [39,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1778252503937892761815048517571297445494820700160000000000 EdgesBipt[53][13]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {6,43}, {11,50}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.14 // Bipartite(13,40) Valencies [40,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5080721439822550748042995764489421272842344857600000000000 EdgesBipt[53][14]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.15 // Bipartite(12,41) Valencies [41,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16023813771748044666904832795697405552810472243200000000000 EdgesBipt[53][15]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {3,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {10,42}, {12,22}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {11,51}, {6,53}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB53.16 // Bipartite(11,42) Valencies [42,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56083348201118156334166914784940919434836652851200000000000 EdgesBipt[53][16]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {3,25}, {4,12}, {10,27}, {1,41}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {11,47}, {10,25}, {11,36}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {3,34}, {11,14}, {9,48}, {7,12}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {3,40}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {10,15}, {10,49}, {6,41}, {4,36}, {6,29}, {2,31} }; // ETB53.17 // Bipartite(10,43) Valencies [43,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 219234906604370974760834303250223594154361461145600000000000 EdgesBipt[53][17]:={ {6,52}, {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {3,52}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {6,36}, {8,17}, {4,53}, {10,16}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {2,51}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {9,52}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {10,15}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {10,53}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {10,43}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB53.18 // Bipartite(9,44) Valencies [44,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 964633589059232288947670934300983814279190429040640000000000 EdgesBipt[53][18]:={ {6,52}, {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {4,53}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB53.19 // Bipartite(8,45) Valencies [45,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4823167945296161444738354671504919071395952145203200000000000 EdgesBipt[53][19]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {4,53}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB53.20 // Bipartite(7,46) Valencies [46,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 27733215685452928307245539361153284660526724834918400000000000 EdgesBipt[53][20]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {4,53}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {7,52}, {6,37}, {6,43}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB53.21 // Bipartite(6,47) Valencies [47,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 186208733888041090062934335710600625577822295320166400000000000 EdgesBipt[53][21]:={ {6,52}, {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {6,17}, {5,28}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {4,53}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {6,22}, {4,34}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {6,37}, {6,43}, {5,31}, {2,19}, {6,20}, {4,44}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {2,28}, {2,45}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {1,8}, {4,12}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {6,53}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {6,40} }; // ETB53.22 // Bipartite(5,48) Valencies [48,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1489669871104328720503474685684805004622578362561331200000000000 EdgesBipt[53][22]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {2,46}, {4,27}, {5,34}, {4,24}, {4,26}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {5,51}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB53.23 // Bipartite(4,49) Valencies [49,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14598764736822421460934051919711089045301267953101045760000000000 EdgesBipt[53][23]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {3,47}, {2,30}, {2,18}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB53.24 // Bipartite(3,50) Valencies [50,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 182484559210280268261675648996388613066265849413763072000000000000 EdgesBipt[53][24]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,53}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,52}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB53.25 // Bipartite(2,51) Valencies [51,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3102237506574764560448486032938606422126519440033972224000000000000 EdgesBipt[53][25]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {2,48}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB53.26 // Bipartite(1,52) Valencies [52,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 80658175170943878571660636856403766975289505440883277824000000000000 EdgesBipt[53][26]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 53 is 26 // ******************************************************************************************** // Order 54 // ETB54.1 // Bipartite(27,27) Valencies [2,2] // Diameter 27 Girth 54 // Twin-free VT AT // Automorphism group of order 108 EdgesBipt[54][1]:={ {12,38}, {27,51}, {2,44}, {17,54}, {7,52}, {26,30}, {13,31}, {13,41}, {5,53}, {9,31}, {24,37}, {5,43}, {1,39}, {27,48}, {6,30}, {23,44}, {24,47}, {22,28}, {16,36}, {3,47}, {4,38}, {26,40}, {11,35}, {3,52}, {14,32}, {10,46}, {4,48}, {12,29}, {9,34}, {21,41}, {10,53}, {19,33}, {14,42}, {18,37}, {19,32}, {1,28}, {20,50}, {22,36}, {6,35}, {8,49}, {18,29}, {11,45}, {2,34}, {25,33}, {7,42}, {17,45}, {20,40}, {15,50}, {15,49}, {25,43}, {16,46}, {21,51}, {8,39}, {23,54} }; // ETB54.2 // Bipartite(27,27) Valencies [3,3] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[54][2]:={ {11,30}, {7,47}, {19,37}, {27,33}, {9,45}, {15,40}, {2,32}, {1,29}, {17,39}, {20,38}, {4,34}, {7,34}, {7,31}, {17,44}, {2,43}, {10,48}, {19,42}, {5,40}, {21,46}, {2,36}, {9,52}, {3,37}, {27,46}, {1,31}, {5,44}, {13,49}, {12,44}, {16,33}, {25,42}, {20,29}, {13,43}, {21,52}, {8,33}, {8,36}, {11,35}, {11,32}, {14,53}, {23,36}, {12,37}, {6,48}, {14,46}, {23,51}, {12,51}, {10,50}, {10,29}, {16,35}, {20,41}, {22,31}, {26,51}, {15,28}, {6,49}, {4,54}, {8,41}, {24,40}, {13,38}, {26,38}, {3,45}, {1,28}, {24,50}, {18,48}, {16,28}, {17,43}, {27,50}, {5,41}, {25,39}, {6,52}, {15,42}, {4,35}, {26,47}, {18,47}, {9,39}, {21,32}, {25,30}, {22,30}, {24,45}, {3,53}, {14,54}, {18,53}, {19,34}, {22,49}, {23,54} }; // ETB54.3 // Bipartite(27,27) Valencies [3,3] // Diameter 6 Girth 6 // Twin-free VT AT // Automorphism group of order 324 EdgesBipt[54][3]:={ {11,30}, {12,38}, {27,42}, {7,50}, {19,41}, {6,34}, {17,54}, {2,37}, {19,29}, {6,39}, {5,48}, {19,46}, {4,36}, {1,29}, {13,31}, {15,53}, {13,41}, {6,45}, {11,28}, {14,39}, {18,42}, {25,35}, {21,44}, {4,43}, {27,47}, {1,31}, {23,52}, {12,43}, {4,49}, {5,52}, {8,29}, {9,47}, {23,47}, {2,33}, {12,44}, {7,45}, {8,32}, {9,48}, {20,30}, {18,28}, {16,48}, {7,40}, {23,53}, {8,36}, {2,38}, {3,54}, {9,33}, {22,37}, {17,51}, {10,46}, {26,32}, {10,52}, {14,51}, {16,35}, {13,35}, {26,51}, {3,50}, {24,40}, {16,38}, {26,46}, {27,30}, {11,34}, {1,28}, {10,54}, {21,49}, {21,50}, {14,37}, {22,43}, {5,41}, {24,31}, {15,42}, {17,45}, {24,34}, {25,40}, {20,33}, {15,49}, {20,39}, {25,44}, {3,53}, {18,36}, {22,32} }; // ETB54.4 // Bipartite(18,36) Valencies [4,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[54][4]:={ {3,22}, {8,54}, {5,33}, {18,52}, {8,28}, {1,50}, {4,41}, {1,46}, {5,29}, {4,34}, {7,34}, {9,21}, {5,53}, {16,41}, {15,20}, {11,24}, {11,28}, {2,39}, {10,48}, {6,46}, {9,44}, {13,50}, {17,25}, {6,43}, {12,43}, {6,40}, {4,49}, {11,33}, {8,32}, {13,32}, {16,27}, {12,47}, {15,31}, {10,31}, {3,47}, {6,20}, {15,30}, {9,36}, {3,30}, {17,36}, {12,37}, {17,51}, {12,51}, {1,27}, {13,21}, {7,19}, {3,45}, {9,22}, {14,42}, {13,52}, {14,23}, {2,54}, {15,39}, {2,23}, {16,53}, {14,48}, {18,38}, {5,35}, {2,35}, {1,19}, {18,24}, {11,26}, {10,38}, {4,26}, {7,42}, {7,37}, {17,29}, {8,45}, {14,25}, {10,49}, {16,44}, {18,40} }; // ETB54.5 // Bipartite(18,36) Valencies [4,2] // Diameter 9 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 9216 EdgesBipt[54][5]:={ {18,43}, {8,28}, {9,23}, {15,40}, {8,20}, {1,24}, {5,48}, {17,28}, {6,33}, {5,29}, {4,44}, {16,34}, {1,32}, {11,54}, {7,31}, {12,49}, {14,50}, {2,39}, {8,21}, {3,42}, {10,32}, {14,41}, {15,38}, {11,37}, {9,52}, {12,40}, {11,38}, {5,46}, {6,36}, {4,30}, {17,42}, {5,21}, {7,27}, {15,19}, {8,33}, {13,36}, {18,25}, {10,41}, {6,27}, {13,51}, {7,25}, {9,35}, {4,54}, {12,26}, {10,39}, {3,49}, {3,45}, {12,53}, {17,31}, {13,52}, {9,50}, {10,51}, {17,30}, {2,23}, {11,45}, {14,48}, {4,53}, {2,34}, {1,19}, {18,44}, {13,46}, {18,20}, {6,47}, {16,37}, {1,35}, {14,47}, {16,24}, {2,22}, {3,43}, {15,22}, {16,26}, {7,29} }; // ETB54.6 // Bipartite(18,36) Valencies [4,2] // Diameter 18 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9437184 EdgesBipt[54][6]:={ {18,32}, {9,54}, {12,48}, {7,52}, {4,36}, {13,34}, {7,34}, {5,53}, {1,37}, {18,50}, {5,27}, {14,50}, {14,39}, {8,21}, {2,43}, {1,45}, {16,31}, {9,44}, {12,30}, {11,44}, {6,30}, {15,23}, {12,40}, {3,37}, {8,29}, {3,29}, {8,47}, {11,33}, {18,41}, {17,42}, {17,49}, {16,40}, {7,43}, {11,51}, {3,47}, {13,42}, {6,20}, {9,36}, {5,45}, {6,38}, {3,19}, {6,48}, {14,32}, {10,46}, {16,49}, {7,25}, {4,54}, {16,22}, {1,27}, {4,28}, {2,53}, {14,21}, {17,31}, {13,52}, {12,22}, {15,41}, {18,23}, {13,24}, {15,33}, {5,35}, {2,35}, {10,28}, {1,19}, {11,26}, {10,38}, {9,26}, {2,25}, {4,46}, {10,20}, {15,51}, {17,24}, {8,39} }; // ETB54.7 // Bipartite(27,27) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 216 EdgesBipt[54][7]:={ {4,35}, {24,39}, {7,48}, {27,46}, {18,41}, {1,43}, {12,39}, {18,44}, {14,34}, {6,36}, {11,33}, {8,36}, {5,35}, {9,45}, {10,38}, {5,34}, {23,39}, {2,47}, {15,44}, {2,37}, {26,33}, {24,29}, {7,54}, {6,50}, {27,48}, {12,33}, {23,40}, {14,42}, {6,40}, {24,43}, {10,52}, {3,45}, {7,51}, {2,28}, {16,41}, {11,52}, {9,51}, {6,34}, {13,46}, {14,46}, {18,51}, {23,30}, {27,31}, {19,37}, {16,53}, {3,41}, {17,53}, {17,31}, {19,54}, {15,34}, {13,44}, {2,41}, {4,53}, {22,29}, {25,33}, {11,39}, {11,28}, {20,49}, {13,47}, {26,30}, {4,36}, {3,47}, {12,35}, {17,51}, {23,42}, {9,48}, {14,32}, {12,38}, {20,50}, {25,31}, {25,48}, {15,42}, {5,53}, {21,49}, {10,28}, {13,32}, {20,32}, {21,52}, {24,30}, {8,54}, {21,32}, {26,49}, {21,37}, {16,44}, {22,43}, {25,30}, {1,37}, {22,42}, {26,46}, {9,29}, {8,45}, {17,38}, {20,54}, {4,50}, {15,47}, {18,31}, {1,28}, {16,38}, {3,43}, {10,35}, {22,40}, {1,45}, {7,36}, {19,50}, {19,52}, {27,49}, {5,40}, {8,29} }; // ETB54.8 // Bipartite(27,27) Valencies [4,4] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 432 EdgesBipt[54][8]:={ {7,42}, {7,39}, {16,49}, {9,52}, {24,53}, {11,44}, {13,29}, {25,47}, {18,40}, {19,44}, {15,54}, {1,31}, {16,30}, {18,39}, {25,34}, {6,41}, {1,46}, {26,41}, {27,35}, {10,48}, {24,50}, {22,38}, {22,52}, {19,31}, {8,46}, {21,53}, {3,50}, {23,51}, {17,42}, {22,49}, {20,43}, {17,43}, {15,52}, {23,54}, {5,37}, {8,44}, {5,49}, {7,28}, {11,34}, {1,34}, {20,38}, {8,33}, {19,30}, {4,46}, {12,54}, {27,43}, {21,51}, {6,33}, {23,41}, {2,36}, {9,34}, {7,47}, {4,43}, {14,28}, {26,45}, {26,53}, {14,45}, {13,35}, {14,38}, {16,29}, {18,50}, {4,30}, {2,40}, {14,51}, {25,50}, {15,33}, {11,51}, {10,29}, {1,53}, {25,37}, {6,31}, {11,36}, {3,35}, {24,44}, {2,48}, {21,29}, {27,28}, {5,45}, {16,54}, {9,35}, {8,38}, {23,37}, {17,37}, {19,42}, {24,32}, {5,48}, {3,49}, {18,52}, {10,42}, {12,47}, {13,36}, {21,40}, {12,32}, {26,36}, {20,39}, {9,32}, {17,32}, {10,46}, {4,47}, {22,31}, {3,33}, {2,30}, {27,40}, {12,45}, {20,41}, {15,48}, {13,39}, {6,28} }; // ETB54.9 // Bipartite(27,27) Valencies [4,4] // Diameter 9 Girth 4 // Twin-free VT AT // Automorphism group of order 216 EdgesBipt[54][9]:={ {7,48}, {7,39}, {21,39}, {5,52}, {5,42}, {20,28}, {3,46}, {1,31}, {23,38}, {13,54}, {23,33}, {9,45}, {11,29}, {22,52}, {17,35}, {11,38}, {8,42}, {16,48}, {17,43}, {19,38}, {24,45}, {19,33}, {22,41}, {24,34}, {15,32}, {10,30}, {5,49}, {11,49}, {6,53}, {6,43}, {24,54}, {12,46}, {4,37}, {13,44}, {23,32}, {12,54}, {25,43}, {1,36}, {21,51}, {2,50}, {6,33}, {21,41}, {25,53}, {10,41}, {4,28}, {15,49}, {10,39}, {5,51}, {10,31}, {16,52}, {21,50}, {13,45}, {13,53}, {19,29}, {4,31}, {26,30}, {18,34}, {2,40}, {7,30}, {26,37}, {22,48}, {8,40}, {12,44}, {3,35}, {15,42}, {14,31}, {9,53}, {14,37}, {8,32}, {11,40}, {20,47}, {27,42}, {2,49}, {2,51}, {27,52}, {9,46}, {3,44}, {16,50}, {9,47}, {12,47}, {17,29}, {27,50}, {7,37}, {25,46}, {15,38}, {18,45}, {25,35}, {20,54}, {18,47}, {1,28}, {26,36}, {14,41}, {18,36}, {17,32}, {20,36}, {6,44}, {4,34}, {19,35}, {14,48}, {23,43}, {26,34}, {3,33}, {22,51}, {1,30}, {16,39}, {27,40}, {8,29}, {24,28} }; // ETB54.10 // Bipartite(27,27) Valencies [4,4] // Diameter 5 Girth 6 // Twin-free VT AT // Automorphism group of order 1296 EdgesBipt[54][10]:={ {7,43}, {6,39}, {10,54}, {16,36}, {4,42}, {5,52}, {6,36}, {16,30}, {21,47}, {5,35}, {26,41}, {2,37}, {25,32}, {19,40}, {6,32}, {22,44}, {11,38}, {4,44}, {3,30}, {13,43}, {19,38}, {19,33}, {15,29}, {25,40}, {3,34}, {22,33}, {11,52}, {1,52}, {9,51}, {27,45}, {17,44}, {8,41}, {21,28}, {16,53}, {7,28}, {12,30}, {13,33}, {25,43}, {26,38}, {9,34}, {15,49}, {23,48}, {1,50}, {20,48}, {8,35}, {6,37}, {11,39}, {5,29}, {11,46}, {13,53}, {26,31}, {19,29}, {4,31}, {27,51}, {2,40}, {10,29}, {8,40}, {23,42}, {18,35}, {14,32}, {3,42}, {15,31}, {22,37}, {5,53}, {21,49}, {27,28}, {16,54}, {24,49}, {2,46}, {18,46}, {7,44}, {27,53}, {20,45}, {2,49}, {15,51}, {21,54}, {14,47}, {17,50}, {10,42}, {12,47}, {24,41}, {20,34}, {7,46}, {17,38}, {18,45}, {10,50}, {18,31}, {1,28}, {14,41}, {20,39}, {17,32}, {8,30}, {9,36}, {24,52}, {14,48}, {23,43}, {26,34}, {4,47}, {3,33}, {23,35}, {25,54}, {22,51}, {9,50}, {12,37}, {1,48}, {12,45}, {24,36}, {13,39} }; // ETB54.11 // Bipartite(27,27) Valencies [4,4] // Diameter 5 Girth 6 // Twin-free VT Non-AT // Automorphism group of order 108 EdgesBipt[54][11]:={ {13,41}, {9,40}, {19,45}, {21,48}, {10,54}, {12,48}, {11,44}, {17,39}, {9,30}, {15,43}, {5,42}, {18,53}, {5,30}, {6,36}, {23,38}, {19,39}, {4,48}, {13,54}, {10,43}, {1,46}, {3,53}, {7,38}, {10,40}, {19,31}, {25,51}, {26,50}, {13,42}, {8,34}, {7,51}, {22,41}, {16,41}, {2,29}, {24,54}, {1,34}, {14,33}, {12,46}, {23,32}, {11,53}, {16,47}, {21,51}, {14,30}, {6,33}, {8,47}, {26,38}, {15,36}, {4,28}, {22,29}, {14,45}, {25,28}, {18,50}, {21,33}, {2,40}, {22,50}, {2,44}, {6,29}, {20,37}, {19,43}, {17,36}, {7,35}, {18,35}, {3,42}, {5,38}, {24,44}, {25,31}, {1,54}, {21,49}, {18,46}, {27,53}, {11,31}, {22,45}, {20,32}, {2,49}, {13,28}, {24,35}, {27,52}, {26,49}, {9,46}, {8,52}, {4,32}, {26,39}, {3,39}, {8,49}, {17,34}, {25,30}, {10,51}, {12,42}, {11,32}, {20,29}, {14,52}, {20,34}, {7,37}, {24,47}, {4,50}, {15,47}, {6,35}, {17,28}, {16,37}, {9,36}, {27,41}, {23,43}, {5,44}, {1,45}, {3,33}, {16,31}, {12,37}, {27,40}, {15,48}, {23,52} }; // ETB54.12 // Bipartite(24,30) Valencies [5,4] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[54][11]:={ {14,39}, {20,27}, {24,33}, {24,53}, {16,36}, {12,49}, {17,47}, {18,40}, {12,39}, {15,54}, {1,31}, {13,54}, {23,25}, {10,43}, {10,38}, {11,42}, {3,53}, {5,34}, {1,25}, {15,44}, {16,51}, {10,40}, {21,25}, {6,40}, {23,51}, {17,42}, {13,42}, {22,28}, {15,52}, {24,45}, {6,45}, {4,26}, {3,51}, {2,29}, {14,27}, {5,37}, {8,44}, {16,53}, {3,41}, {19,54}, {20,38}, {2,41}, {10,36}, {2,31}, {7,26}, {19,30}, {21,38}, {16,47}, {14,30}, {6,33}, {9,34}, {4,53}, {22,29}, {5,51}, {20,48}, {4,29}, {15,35}, {8,26}, {4,45}, {3,27}, {21,33}, {2,35}, {14,44}, {12,35}, {9,54}, {1,35}, {13,40}, {17,49}, {23,46}, {9,48}, {6,52}, {14,32}, {21,30}, {11,36}, {20,50}, {12,44}, {22,37}, {5,46}, {2,48}, {18,28}, {24,49}, {6,38}, {8,32}, {1,49}, {17,37}, {23,31}, {19,42}, {22,34}, {13,28}, {18,43}, {18,29}, {11,30}, {9,46}, {8,52}, {3,39}, {11,32}, {22,26}, {7,32}, {8,45}, {24,47}, {16,43}, {1,33}, {10,50}, {13,52}, {18,31}, {7,50}, {11,47}, {17,28}, {19,25}, {23,43}, {4,41}, {7,34}, {7,36}, {9,50}, {12,37}, {5,39}, {19,46}, {20,41}, {15,48}, {21,27} }; // ETB54.13 // Bipartite(24,30) Valencies [5,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 491520 EdgesBipt[54][12]:={ {14,39}, {13,41}, {13,25}, {16,49}, {10,54}, {24,53}, {8,31}, {17,39}, {18,44}, {17,27}, {3,38}, {5,30}, {9,42}, {11,33}, {8,51}, {7,40}, {23,25}, {23,33}, {10,43}, {11,29}, {1,40}, {23,27}, {5,34}, {1,25}, {4,49}, {18,42}, {19,40}, {7,31}, {19,31}, {1,32}, {9,37}, {22,49}, {6,45}, {12,53}, {10,45}, {20,51}, {16,53}, {24,54}, {17,30}, {2,41}, {4,46}, {12,54}, {16,47}, {24,38}, {9,34}, {7,29}, {4,53}, {20,48}, {15,35}, {14,43}, {19,29}, {21,33}, {3,47}, {14,44}, {5,28}, {13,30}, {22,54}, {11,26}, {23,29}, {13,40}, {2,44}, {7,35}, {15,26}, {6,52}, {9,33}, {12,38}, {20,50}, {2,43}, {3,35}, {2,48}, {5,27}, {10,49}, {18,28}, {2,39}, {13,32}, {8,32}, {20,32}, {22,45}, {3,26}, {15,37}, {11,25}, {12,36}, {8,50}, {21,36}, {1,41}, {16,46}, {11,27}, {16,50}, {6,42}, {21,37}, {22,43}, {17,34}, {10,51}, {18,52}, {8,48}, {7,46}, {15,38}, {18,45}, {4,50}, {15,47}, {21,34}, {21,42}, {14,41}, {20,31}, {3,37}, {12,52}, {17,28}, {9,36}, {6,44}, {24,52}, {19,35}, {14,48}, {4,47}, {23,26}, {22,51}, {1,30}, {5,39}, {19,46}, {24,36}, {6,28} }; // ETB54.14 // Bipartite(24,30) Valencies [5,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5898240 EdgesBipt[54][13]:={ {14,39}, {19,45}, {19,49}, {17,47}, {3,38}, {8,51}, {23,25}, {10,43}, {4,40}, {18,42}, {24,29}, {7,31}, {16,40}, {19,31}, {15,40}, {7,45}, {13,27}, {1,44}, {21,35}, {21,53}, {4,44}, {17,43}, {7,51}, {11,54}, {22,33}, {11,52}, {10,45}, {20,51}, {23,54}, {6,54}, {16,53}, {3,41}, {22,25}, {24,37}, {10,34}, {13,44}, {20,38}, {17,48}, {20,35}, {13,33}, {10,25}, {6,46}, {2,50}, {3,40}, {2,36}, {9,34}, {7,29}, {4,28}, {4,53}, {19,51}, {14,50}, {20,48}, {16,52}, {5,43}, {21,50}, {8,35}, {17,46}, {19,29}, {18,54}, {14,26}, {10,33}, {7,49}, {14,49}, {5,28}, {13,30}, {12,29}, {11,37}, {18,27}, {15,26}, {6,31}, {3,42}, {11,36}, {14,36}, {5,46}, {15,42}, {9,35}, {18,46}, {1,39}, {9,53}, {8,38}, {2,39}, {5,47}, {23,37}, {22,45}, {3,26}, {11,25}, {2,49}, {22,34}, {24,32}, {20,30}, {5,48}, {21,32}, {6,42}, {16,44}, {22,43}, {1,27}, {15,41}, {16,28}, {12,47}, {24,41}, {2,26}, {8,48}, {4,52}, {24,47}, {15,38}, {12,41}, {1,33}, {12,32}, {18,31}, {21,34}, {9,32}, {17,28}, {8,30}, {6,27}, {9,50}, {1,30}, {12,37}, {23,36}, {13,39}, {23,52} }; // ETB54.15 // Bipartite(18,36) Valencies [6,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[54][14]:={ {10,54}, {9,52}, {12,48}, {2,38}, {10,22}, {5,42}, {6,36}, {18,39}, {4,48}, {1,46}, {5,34}, {12,40}, {15,44}, {13,48}, {6,32}, {6,25}, {7,27}, {9,21}, {10,44}, {4,44}, {17,42}, {7,23}, {3,45}, {17,54}, {9,31}, {16,41}, {12,25}, {16,33}, {14,46}, {13,20}, {11,49}, {6,53}, {17,23}, {5,33}, {15,34}, {10,36}, {2,31}, {8,33}, {9,43}, {16,47}, {1,22}, {3,40}, {13,49}, {4,28}, {12,51}, {4,29}, {5,43}, {14,28}, {10,37}, {18,25}, {15,35}, {14,38}, {14,43}, {3,23}, {11,39}, {8,53}, {11,28}, {18,50}, {1,19}, {7,30}, {2,35}, {13,30}, {1,26}, {8,19}, {12,24}, {6,52}, {2,24}, {11,41}, {14,36}, {15,21}, {16,27}, {2,54}, {8,38}, {5,20}, {15,51}, {9,26}, {3,21}, {3,49}, {1,41}, {1,51}, {12,42}, {9,47}, {11,32}, {17,29}, {7,46}, {8,45}, {18,45}, {4,50}, {14,40}, {13,52}, {18,31}, {7,50}, {10,20}, {17,26}, {3,37}, {17,32}, {18,22}, {16,37}, {6,27}, {4,47}, {13,19}, {7,34}, {15,53}, {11,35}, {5,39}, {2,30}, {8,29}, {16,24} }; // ETB54.16 // Bipartite(18,36) Valencies [6,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 648 EdgesBipt[54][15]:={ {7,42}, {11,44}, {12,49}, {15,54}, {6,36}, {8,51}, {1,31}, {7,40}, {18,39}, {10,43}, {3,53}, {4,49}, {2,47}, {12,31}, {2,37}, {12,22}, {6,50}, {17,35}, {1,32}, {13,43}, {12,27}, {13,42}, {16,41}, {16,33}, {5,26}, {6,22}, {15,32}, {14,27}, {3,48}, {5,23}, {13,44}, {7,26}, {4,46}, {12,54}, {10,25}, {15,25}, {10,41}, {9,34}, {10,39}, {1,50}, {4,53}, {16,19}, {14,28}, {5,19}, {10,24}, {13,35}, {13,45}, {14,38}, {6,37}, {8,53}, {11,46}, {17,46}, {3,27}, {2,34}, {7,30}, {4,21}, {7,52}, {15,33}, {10,29}, {17,51}, {6,29}, {9,48}, {6,52}, {9,33}, {3,52}, {11,36}, {2,43}, {1,23}, {2,54}, {9,35}, {18,28}, {11,19}, {8,38}, {5,20}, {9,28}, {15,51}, {8,23}, {14,47}, {16,22}, {5,48}, {3,44}, {11,32}, {18,30}, {3,25}, {17,29}, {2,26}, {8,45}, {18,45}, {7,21}, {16,42}, {14,40}, {18,49}, {8,37}, {18,36}, {11,47}, {16,38}, {13,31}, {17,20}, {4,34}, {4,41}, {15,30}, {17,40}, {9,50}, {5,39}, {1,21}, {12,20}, {14,24}, {1,24} }; // ETB54.17 // Bipartite(18,36) Valencies [6,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[54][16]:={ {7,43}, {10,19}, {16,34}, {8,39}, {17,39}, {2,38}, {9,42}, {15,54}, {8,36}, {4,48}, {5,35}, {3,53}, {12,22}, {18,42}, {13,34}, {18,37}, {6,32}, {17,35}, {7,31}, {12,33}, {6,40}, {3,50}, {12,27}, {15,52}, {17,52}, {12,53}, {5,26}, {3,51}, {8,41}, {10,30}, {14,27}, {11,49}, {9,38}, {5,23}, {12,46}, {17,30}, {7,26}, {10,25}, {6,46}, {15,25}, {3,40}, {6,21}, {13,49}, {9,34}, {16,19}, {4,43}, {10,37}, {9,23}, {5,19}, {6,37}, {13,53}, {17,46}, {15,50}, {4,30}, {14,51}, {7,52}, {15,33}, {3,47}, {14,44}, {18,48}, {8,40}, {11,50}, {2,27}, {14,36}, {2,43}, {1,23}, {15,42}, {5,45}, {10,28}, {16,54}, {6,38}, {7,44}, {5,20}, {4,22}, {3,26}, {2,49}, {13,28}, {11,48}, {8,54}, {16,22}, {18,20}, {1,41}, {16,44}, {10,51}, {9,47}, {11,32}, {9,29}, {17,29}, {8,45}, {7,21}, {1,33}, {14,29}, {2,25}, {1,28}, {18,31}, {18,36}, {13,31}, {4,41}, {4,47}, {16,32}, {11,24}, {11,35}, {1,21}, {12,20}, {14,24}, {1,24}, {2,45}, {13,39} }; // ETB54.18 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 324 EdgesBipt[54][17]:={ {11,53}, {3,33}, {17,50}, {13,32}, {17,44}, {12,29}, {2,46}, {21,48}, {4,30}, {8,30}, {21,47}, {7,48}, {14,39}, {12,32}, {15,49}, {16,31}, {20,40}, {7,44}, {17,34}, {4,31}, {12,42}, {3,35}, {25,50}, {24,51}, {25,30}, {8,39}, {22,32}, {7,51}, {15,54}, {23,48}, {10,44}, {27,33}, {9,53}, {27,44}, {17,46}, {8,31}, {13,29}, {12,37}, {2,45}, {15,45}, {3,34}, {22,45}, {11,38}, {6,40}, {14,33}, {2,36}, {9,47}, {9,29}, {27,28}, {10,47}, {14,36}, {5,50}, {19,30}, {25,36}, {4,41}, {8,41}, {2,38}, {19,29}, {11,51}, {2,39}, {24,39}, {26,40}, {10,41}, {23,34}, {7,43}, {23,36}, {21,44}, {1,51}, {25,34}, {9,54}, {27,31}, {24,52}, {9,42}, {4,52}, {26,35}, {16,37}, {9,50}, {18,30}, {2,32}, {6,33}, {14,47}, {6,44}, {15,35}, {11,30}, {5,46}, {26,52}, {18,53}, {27,53}, {13,28}, {1,28}, {23,47}, {23,38}, {18,36}, {21,31}, {4,28}, {20,43}, {18,33}, {3,29}, {1,43}, {22,43}, {21,38}, {24,35}, {16,49}, {5,42}, {25,37}, {1,52}, {26,42}, {11,54}, {18,52}, {10,43}, {17,28}, {16,45}, {8,32}, {1,49}, {22,33}, {27,45}, {22,54}, {19,51}, {5,36}, {22,28}, {25,49}, {26,41}, {17,41}, {10,39}, {13,46}, {23,49}, {16,35}, {8,38}, {15,51}, {13,48}, {19,39}, {21,53}, {20,42}, {4,49}, {11,40}, {10,50}, {14,52}, {16,42}, {6,34}, {14,43}, {15,38}, {12,48}, {24,29}, {20,41}, {19,50}, {5,45}, {1,48}, {26,46}, {3,54}, {18,40}, {24,46}, {12,31}, {6,37}, {13,34}, {3,47}, {20,54}, {7,37}, {6,35}, {7,40}, {19,37}, {20,32}, {5,53} }; // ETB54.19 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 324 EdgesBipt[54][18]:={ {2,44}, {15,52}, {11,53}, {3,33}, {25,31}, {17,36}, {21,40}, {17,47}, {10,37}, {18,46}, {14,39}, {22,53}, {12,32}, {8,42}, {19,44}, {21,37}, {27,48}, {1,32}, {23,28}, {12,38}, {14,38}, {12,39}, {13,53}, {5,47}, {18,54}, {26,33}, {8,39}, {11,41}, {15,47}, {21,43}, {7,51}, {24,44}, {17,40}, {20,30}, {8,44}, {23,39}, {21,52}, {23,52}, {15,45}, {15,29}, {3,34}, {20,38}, {6,31}, {26,45}, {19,54}, {12,46}, {10,52}, {4,42}, {9,41}, {2,39}, {7,32}, {23,34}, {4,45}, {27,40}, {7,43}, {11,31}, {25,28}, {2,35}, {11,44}, {25,34}, {6,43}, {18,49}, {23,41}, {10,29}, {9,54}, {25,54}, {24,32}, {13,49}, {26,35}, {16,37}, {12,43}, {9,50}, {7,53}, {13,33}, {14,48}, {19,42}, {15,50}, {6,33}, {18,43}, {24,45}, {13,44}, {5,30}, {17,30}, {11,30}, {9,37}, {4,48}, {5,49}, {1,45}, {27,36}, {13,28}, {10,42}, {19,31}, {1,28}, {23,47}, {3,50}, {27,49}, {20,51}, {4,28}, {18,33}, {16,48}, {22,29}, {4,46}, {15,36}, {24,35}, {17,31}, {10,51}, {1,52}, {7,31}, {21,39}, {6,51}, {20,29}, {16,51}, {25,47}, {5,54}, {8,40}, {14,34}, {25,42}, {1,53}, {20,46}, {9,30}, {16,34}, {19,32}, {4,40}, {6,36}, {2,29}, {18,28}, {16,35}, {22,49}, {14,32}, {13,41}, {2,47}, {11,40}, {10,50}, {26,51}, {16,42}, {6,34}, {22,48}, {9,38}, {27,37}, {17,45}, {3,38}, {20,53}, {14,35}, {8,46}, {19,50}, {27,43}, {3,41}, {1,48}, {26,46}, {5,35}, {22,36}, {7,52}, {5,37}, {21,41}, {24,33}, {3,36}, {12,54}, {8,29}, {24,50}, {22,38}, {2,49}, {26,30} }; // ETB54.20 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 324 EdgesBipt[54][19]:={ {6,48}, {15,52}, {17,50}, {13,52}, {2,33}, {11,36}, {11,35}, {18,48}, {13,40}, {21,40}, {25,51}, {17,38}, {4,53}, {25,39}, {14,51}, {18,46}, {26,47}, {9,45}, {12,32}, {7,38}, {18,38}, {27,47}, {8,33}, {20,40}, {7,41}, {7,44}, {23,54}, {22,42}, {9,49}, {13,53}, {21,43}, {15,54}, {12,35}, {13,47}, {12,34}, {5,32}, {27,44}, {20,30}, {8,44}, {2,42}, {23,44}, {11,28}, {14,54}, {18,37}, {23,32}, {15,29}, {22,45}, {10,48}, {2,34}, {19,30}, {22,34}, {15,40}, {4,41}, {8,41}, {2,38}, {2,37}, {19,29}, {17,51}, {8,45}, {7,46}, {24,39}, {24,42}, {1,31}, {23,34}, {19,53}, {16,52}, {4,45}, {7,49}, {27,40}, {10,28}, {20,33}, {22,44}, {15,42}, {24,32}, {14,53}, {4,52}, {16,37}, {12,43}, {9,50}, {1,29}, {24,47}, {24,45}, {14,47}, {19,41}, {6,46}, {11,30}, {4,48}, {5,46}, {17,48}, {1,28}, {23,47}, {14,37}, {1,33}, {3,29}, {21,33}, {17,52}, {7,31}, {25,40}, {10,43}, {25,35}, {5,41}, {17,28}, {5,54}, {22,39}, {11,39}, {12,30}, {21,29}, {20,49}, {22,54}, {5,36}, {25,49}, {6,54}, {10,39}, {19,49}, {13,42}, {1,37}, {6,36}, {3,30}, {16,35}, {6,45}, {8,38}, {10,36}, {10,34}, {8,50}, {15,51}, {11,32}, {19,43}, {18,51}, {26,51}, {9,33}, {20,36}, {27,35}, {16,46}, {3,42}, {12,48}, {3,38}, {26,39}, {3,28}, {20,53}, {13,37}, {27,43}, {21,36}, {23,31}, {3,31}, {9,46}, {26,43}, {16,50}, {6,53}, {2,30}, {9,31}, {1,34}, {26,49}, {21,41}, {26,50}, {27,50}, {18,35}, {16,28}, {5,52}, {4,32}, {25,44}, {24,31}, {14,29} }; // ETB54.21 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 559872 EdgesBipt[54][20]:={ {16,41}, {17,50}, {13,52}, {11,36}, {12,29}, {2,46}, {21,45}, {21,48}, {16,33}, {25,51}, {15,46}, {4,53}, {25,39}, {26,31}, {7,48}, {26,47}, {8,43}, {5,38}, {12,32}, {16,31}, {4,29}, {1,32}, {3,45}, {1,40}, {8,52}, {12,41}, {22,42}, {10,33}, {21,42}, {3,35}, {18,54}, {3,37}, {15,48}, {24,30}, {14,50}, {7,36}, {15,43}, {23,48}, {13,47}, {5,32}, {8,44}, {2,42}, {18,34}, {14,54}, {22,45}, {11,38}, {6,40}, {6,31}, {1,38}, {14,33}, {2,34}, {9,47}, {26,28}, {19,40}, {19,30}, {16,53}, {24,37}, {8,41}, {12,49}, {5,43}, {26,29}, {12,44}, {4,42}, {2,39}, {7,32}, {10,54}, {26,40}, {1,31}, {23,34}, {7,49}, {2,53}, {20,31}, {4,47}, {23,41}, {9,54}, {22,44}, {24,52}, {6,49}, {3,51}, {26,35}, {16,37}, {9,50}, {7,30}, {19,52}, {4,35}, {18,44}, {20,44}, {13,44}, {17,30}, {6,46}, {11,30}, {15,35}, {27,38}, {27,53}, {8,35}, {1,28}, {25,45}, {18,36}, {10,46}, {3,29}, {16,48}, {1,43}, {21,33}, {15,36}, {17,52}, {25,37}, {27,42}, {10,43}, {17,28}, {11,39}, {14,49}, {22,54}, {19,51}, {22,28}, {25,49}, {5,51}, {27,32}, {7,29}, {6,28}, {20,37}, {23,40}, {25,46}, {10,35}, {23,33}, {4,34}, {14,32}, {24,53}, {13,41}, {18,51}, {10,50}, {9,33}, {20,36}, {12,52}, {11,47}, {9,39}, {13,38}, {9,38}, {17,45}, {11,48}, {20,53}, {8,46}, {19,50}, {5,45}, {27,43}, {18,40}, {6,39}, {17,42}, {3,47}, {13,39}, {20,54}, {19,34}, {15,30}, {27,34}, {22,36}, {5,37}, {21,41}, {21,28}, {24,50}, {24,31}, {14,29}, {2,49}, {23,51} }; // ETB54.22 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 324 EdgesBipt[54][21]:={ {6,48}, {8,48}, {15,52}, {16,41}, {17,50}, {2,33}, {17,44}, {6,32}, {12,29}, {11,35}, {21,48}, {18,48}, {5,34}, {25,51}, {17,38}, {4,50}, {14,39}, {8,43}, {27,48}, {4,29}, {3,43}, {1,40}, {9,44}, {15,44}, {22,52}, {12,42}, {13,53}, {3,35}, {25,50}, {25,29}, {18,54}, {25,30}, {8,39}, {22,32}, {21,43}, {7,51}, {13,47}, {1,30}, {17,40}, {20,30}, {2,54}, {11,50}, {2,45}, {15,29}, {20,38}, {22,45}, {20,50}, {10,38}, {16,53}, {12,36}, {2,38}, {12,46}, {24,43}, {19,29}, {14,30}, {14,40}, {8,45}, {22,41}, {2,39}, {7,32}, {10,41}, {19,53}, {16,52}, {7,49}, {10,28}, {20,31}, {23,36}, {1,51}, {3,44}, {4,47}, {9,54}, {9,34}, {15,42}, {16,37}, {26,37}, {13,31}, {7,53}, {3,32}, {23,42}, {24,47}, {14,48}, {20,44}, {21,51}, {6,44}, {11,30}, {17,49}, {5,49}, {15,34}, {27,53}, {26,38}, {27,36}, {13,28}, {1,28}, {24,34}, {14,37}, {18,47}, {4,28}, {26,34}, {18,33}, {22,29}, {4,46}, {21,33}, {24,35}, {10,51}, {1,52}, {27,42}, {7,31}, {12,33}, {7,47}, {19,46}, {25,47}, {16,45}, {22,39}, {5,31}, {8,40}, {26,54}, {10,32}, {27,41}, {1,46}, {6,41}, {19,32}, {23,49}, {23,40}, {3,53}, {4,40}, {6,36}, {5,33}, {11,37}, {8,50}, {15,33}, {19,39}, {13,41}, {10,49}, {18,51}, {2,31}, {20,36}, {9,36}, {25,52}, {16,46}, {3,42}, {13,38}, {26,39}, {9,52}, {11,45}, {14,35}, {5,45}, {27,43}, {23,31}, {21,34}, {9,46}, {17,42}, {11,43}, {5,37}, {26,49}, {21,28}, {6,35}, {12,54}, {18,35}, {19,37}, {24,54}, {24,28}, {23,30} }; // ETB54.23 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 324 EdgesBipt[54][22]:={ {16,41}, {6,32}, {11,36}, {11,35}, {13,40}, {17,38}, {15,46}, {17,47}, {16,40}, {7,48}, {14,39}, {2,51}, {19,44}, {21,37}, {4,29}, {18,50}, {8,33}, {7,54}, {14,38}, {9,44}, {22,42}, {12,41}, {15,44}, {9,49}, {12,42}, {5,47}, {25,29}, {25,30}, {26,33}, {8,39}, {24,36}, {12,34}, {23,43}, {1,30}, {20,30}, {17,46}, {18,34}, {21,52}, {23,32}, {3,34}, {20,38}, {11,38}, {6,40}, {14,33}, {9,47}, {19,40}, {24,37}, {25,53}, {1,44}, {12,49}, {2,37}, {10,52}, {23,45}, {16,54}, {19,29}, {11,51}, {8,45}, {22,41}, {7,32}, {10,54}, {4,45}, {27,40}, {10,28}, {2,35}, {20,33}, {18,49}, {25,54}, {9,42}, {14,53}, {10,40}, {17,43}, {7,50}, {3,39}, {13,31}, {26,37}, {3,32}, {15,41}, {8,36}, {19,42}, {25,48}, {13,43}, {11,29}, {13,50}, {27,46}, {6,46}, {9,37}, {12,47}, {27,38}, {4,48}, {8,53}, {26,52}, {18,53}, {15,37}, {15,34}, {1,45}, {17,48}, {24,49}, {27,36}, {13,28}, {19,31}, {1,28}, {3,50}, {4,28}, {22,29}, {24,35}, {27,42}, {7,31}, {18,52}, {10,43}, {5,41}, {16,51}, {22,39}, {5,31}, {12,30}, {22,54}, {10,32}, {19,51}, {16,44}, {25,49}, {26,41}, {1,53}, {22,31}, {20,48}, {6,36}, {5,33}, {23,33}, {23,46}, {13,48}, {2,47}, {21,53}, {4,49}, {2,31}, {26,51}, {20,47}, {6,34}, {3,42}, {16,39}, {17,45}, {3,38}, {11,45}, {14,35}, {21,36}, {21,34}, {9,46}, {8,51}, {6,39}, {26,43}, {15,30}, {5,35}, {1,54}, {7,52}, {21,28}, {2,43}, {27,50}, {18,35}, {4,44}, {20,32}, {5,52}, {24,50}, {24,28}, {14,29}, {23,30} }; // ETB54.24 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 648 EdgesBipt[54][23]:={ {17,35}, {17,44}, {18,39}, {18,29}, {3,40}, {10,37}, {18,32}, {17,53}, {26,47}, {16,47}, {8,42}, {18,38}, {15,31}, {21,37}, {20,40}, {12,38}, {7,44}, {4,31}, {25,50}, {15,48}, {26,33}, {8,39}, {11,41}, {21,43}, {9,53}, {24,36}, {5,32}, {17,40}, {27,44}, {11,50}, {18,37}, {16,30}, {19,28}, {1,50}, {3,49}, {19,30}, {12,36}, {24,43}, {11,49}, {2,52}, {23,45}, {16,54}, {26,29}, {17,51}, {14,40}, {22,41}, {7,32}, {10,54}, {1,31}, {23,34}, {4,45}, {27,40}, {2,53}, {7,43}, {10,28}, {25,28}, {2,35}, {17,33}, {6,30}, {9,34}, {24,52}, {3,51}, {24,32}, {25,41}, {2,48}, {26,35}, {3,39}, {23,42}, {23,35}, {13,33}, {15,53}, {11,29}, {20,44}, {13,44}, {14,47}, {6,44}, {27,46}, {19,41}, {6,46}, {14,42}, {15,34}, {5,48}, {13,54}, {8,35}, {13,28}, {20,45}, {19,31}, {14,41}, {25,45}, {27,49}, {9,51}, {20,51}, {10,46}, {4,28}, {4,43}, {16,48}, {21,38}, {16,49}, {18,52}, {10,43}, {4,36}, {21,39}, {6,51}, {23,53}, {19,46}, {5,54}, {1,42}, {11,39}, {8,40}, {26,54}, {12,30}, {14,49}, {10,32}, {22,54}, {22,28}, {25,42}, {26,32}, {22,47}, {22,31}, {21,50}, {13,46}, {19,49}, {25,43}, {3,30}, {5,33}, {2,29}, {20,34}, {23,33}, {4,34}, {8,50}, {15,51}, {2,47}, {20,42}, {6,38}, {12,52}, {9,36}, {22,48}, {11,47}, {16,46}, {12,48}, {9,38}, {27,37}, {3,38}, {24,29}, {9,52}, {7,45}, {14,35}, {1,41}, {27,39}, {21,36}, {12,31}, {6,37}, {7,33}, {13,45}, {15,30}, {7,37}, {1,34}, {8,29}, {5,52}, {24,50}, {1,36}, {5,53} }; // ETB54.25 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 648 EdgesBipt[54][24]:={ {3,33}, {17,44}, {18,39}, {18,29}, {23,29}, {15,46}, {10,37}, {26,31}, {7,48}, {14,39}, {2,51}, {12,32}, {7,38}, {8,42}, {19,44}, {25,38}, {27,48}, {17,34}, {23,54}, {5,47}, {9,43}, {3,37}, {22,32}, {23,48}, {24,44}, {3,52}, {9,53}, {8,31}, {21,49}, {11,50}, {2,42}, {18,37}, {10,30}, {2,45}, {19,28}, {3,34}, {20,38}, {3,46}, {21,46}, {20,50}, {1,38}, {2,36}, {1,50}, {27,28}, {14,36}, {5,50}, {24,37}, {25,36}, {15,40}, {1,44}, {5,29}, {8,41}, {24,43}, {8,47}, {12,49}, {12,44}, {16,54}, {22,35}, {17,51}, {7,39}, {7,32}, {10,41}, {11,31}, {2,35}, {17,33}, {25,34}, {20,33}, {6,30}, {6,43}, {4,33}, {23,41}, {10,29}, {9,34}, {6,49}, {15,42}, {14,53}, {10,40}, {1,29}, {13,31}, {19,52}, {24,47}, {15,41}, {8,36}, {19,42}, {13,43}, {24,45}, {21,51}, {14,47}, {12,47}, {4,48}, {17,49}, {27,53}, {13,28}, {1,28}, {27,52}, {4,54}, {18,36}, {16,38}, {27,42}, {12,33}, {24,40}, {25,40}, {11,54}, {18,52}, {5,41}, {21,39}, {17,28}, {23,53}, {25,47}, {16,45}, {5,31}, {5,44}, {22,33}, {12,53}, {21,29}, {1,39}, {27,41}, {19,45}, {26,32}, {22,31}, {9,30}, {20,35}, {7,28}, {22,50}, {23,49}, {4,37}, {4,40}, {10,35}, {25,43}, {6,45}, {20,34}, {13,51}, {13,48}, {14,32}, {14,52}, {26,51}, {16,42}, {20,36}, {15,38}, {16,46}, {26,39}, {9,52}, {11,45}, {11,48}, {26,46}, {3,54}, {9,46}, {8,51}, {13,34}, {16,50}, {11,43}, {6,53}, {15,30}, {22,30}, {6,35}, {18,35}, {7,40}, {19,37}, {4,32}, {2,49}, {21,54}, {26,30} }; // ETB54.26 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 1296 EdgesBipt[54][25]:={ {11,53}, {3,33}, {13,52}, {2,33}, {17,35}, {12,29}, {21,48}, {13,40}, {12,51}, {12,45}, {4,53}, {18,46}, {17,53}, {8,42}, {25,38}, {27,48}, {1,32}, {20,40}, {12,38}, {7,41}, {4,31}, {22,52}, {21,42}, {10,33}, {25,50}, {3,35}, {5,47}, {9,43}, {15,48}, {8,39}, {22,32}, {15,47}, {15,54}, {7,36}, {24,44}, {10,44}, {2,41}, {1,30}, {8,31}, {23,39}, {10,53}, {16,43}, {18,37}, {23,52}, {16,30}, {6,47}, {3,34}, {10,38}, {19,40}, {17,37}, {12,49}, {19,29}, {14,30}, {14,40}, {11,51}, {4,42}, {9,41}, {2,39}, {7,32}, {26,40}, {4,45}, {27,40}, {7,43}, {20,31}, {2,35}, {11,44}, {20,33}, {23,41}, {22,44}, {6,49}, {24,32}, {4,52}, {22,51}, {17,43}, {1,29}, {26,37}, {18,30}, {3,32}, {24,47}, {15,50}, {14,48}, {19,42}, {25,48}, {11,29}, {13,50}, {14,47}, {27,46}, {15,35}, {27,38}, {17,49}, {18,53}, {5,49}, {13,54}, {13,28}, {19,31}, {1,28}, {23,47}, {23,38}, {4,54}, {21,33}, {8,37}, {16,49}, {25,37}, {12,33}, {24,41}, {13,30}, {20,29}, {17,28}, {16,45}, {22,39}, {8,32}, {5,31}, {22,54}, {1,39}, {5,36}, {6,54}, {21,50}, {24,38}, {20,48}, {6,42}, {25,43}, {6,36}, {2,29}, {18,28}, {16,35}, {10,34}, {10,49}, {14,52}, {26,51}, {20,36}, {9,36}, {16,46}, {18,45}, {15,28}, {9,39}, {27,51}, {11,45}, {26,44}, {3,28}, {8,46}, {14,35}, {19,50}, {5,45}, {27,43}, {21,36}, {3,41}, {26,46}, {21,34}, {9,46}, {11,34}, {6,53}, {2,30}, {19,34}, {7,37}, {9,31}, {1,34}, {26,50}, {7,42}, {5,52}, {25,44}, {24,54}, {23,51} }; // ETB54.27 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2592 EdgesBipt[54][26]:={ {6,48}, {2,44}, {3,33}, {6,32}, {17,36}, {21,48}, {13,40}, {5,34}, {21,40}, {15,46}, {17,47}, {10,37}, {25,39}, {21,47}, {26,47}, {9,45}, {7,38}, {16,31}, {8,33}, {7,41}, {7,54}, {25,33}, {9,49}, {22,52}, {5,47}, {9,43}, {13,35}, {14,31}, {22,32}, {15,54}, {12,35}, {14,50}, {15,43}, {23,48}, {10,44}, {2,41}, {17,40}, {9,35}, {20,30}, {8,44}, {8,31}, {11,50}, {2,42}, {18,34}, {10,53}, {18,37}, {21,52}, {16,30}, {15,29}, {3,34}, {11,38}, {14,33}, {27,54}, {27,28}, {16,53}, {22,34}, {5,29}, {4,41}, {2,38}, {11,49}, {27,29}, {4,42}, {24,39}, {24,42}, {10,41}, {19,53}, {11,31}, {23,36}, {25,34}, {4,33}, {3,51}, {13,49}, {26,48}, {17,43}, {9,50}, {12,43}, {7,30}, {23,37}, {2,32}, {19,42}, {15,53}, {16,32}, {6,50}, {24,45}, {11,29}, {13,44}, {11,30}, {27,38}, {17,49}, {5,46}, {8,53}, {24,49}, {1,28}, {14,41}, {3,50}, {4,54}, {10,46}, {26,36}, {21,31}, {10,45}, {3,29}, {16,48}, {22,43}, {5,28}, {27,42}, {12,33}, {18,52}, {4,36}, {25,35}, {6,51}, {23,53}, {25,32}, {5,44}, {8,40}, {12,40}, {20,39}, {20,49}, {1,39}, {19,51}, {1,46}, {19,45}, {26,41}, {22,47}, {1,35}, {19,32}, {20,37}, {23,40}, {14,45}, {18,28}, {20,34}, {19,43}, {2,47}, {6,38}, {18,51}, {14,52}, {12,52}, {20,36}, {18,45}, {16,39}, {13,38}, {27,51}, {13,37}, {1,48}, {26,46}, {9,46}, {17,42}, {15,30}, {7,37}, {22,30}, {1,54}, {7,52}, {21,28}, {26,50}, {6,35}, {3,36}, {12,54}, {4,39}, {8,29}, {25,44}, {24,31}, {24,28}, {23,51} }; // ETB54.28 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 648 EdgesBipt[54][27]:={ {8,48}, {11,53}, {17,50}, {13,52}, {13,32}, {2,46}, {21,45}, {18,29}, {17,38}, {12,45}, {10,37}, {4,30}, {21,47}, {5,38}, {16,47}, {25,38}, {1,32}, {12,39}, {9,49}, {13,53}, {3,35}, {25,29}, {3,37}, {15,48}, {7,51}, {12,35}, {26,53}, {23,43}, {14,28}, {8,31}, {2,54}, {18,42}, {6,29}, {16,30}, {19,33}, {22,45}, {20,50}, {1,50}, {19,40}, {5,50}, {27,30}, {1,44}, {12,46}, {8,47}, {11,49}, {16,54}, {11,51}, {14,40}, {4,42}, {22,41}, {23,34}, {7,43}, {10,28}, {25,28}, {17,33}, {19,38}, {22,44}, {24,52}, {2,48}, {22,51}, {26,35}, {26,48}, {10,40}, {3,39}, {13,31}, {7,53}, {23,42}, {24,47}, {18,44}, {19,42}, {18,43}, {13,43}, {20,44}, {14,47}, {6,44}, {27,46}, {6,46}, {15,35}, {9,37}, {4,48}, {5,49}, {15,37}, {15,34}, {1,28}, {20,51}, {26,36}, {21,31}, {20,43}, {17,31}, {17,52}, {25,37}, {12,33}, {24,40}, {10,43}, {4,36}, {16,51}, {9,40}, {11,52}, {5,54}, {8,32}, {1,42}, {22,33}, {26,54}, {21,29}, {14,49}, {10,32}, {21,30}, {27,41}, {25,49}, {25,42}, {1,53}, {17,41}, {19,36}, {27,32}, {6,41}, {6,28}, {24,38}, {16,34}, {5,39}, {7,28}, {4,37}, {14,45}, {16,36}, {8,34}, {2,29}, {20,52}, {10,34}, {15,51}, {15,33}, {9,33}, {11,47}, {18,45}, {9,39}, {3,38}, {24,29}, {9,52}, {11,48}, {26,44}, {8,46}, {7,45}, {27,39}, {23,50}, {3,41}, {23,31}, {18,40}, {14,46}, {12,31}, {7,35}, {13,39}, {2,30}, {20,54}, {19,34}, {22,36}, {21,41}, {6,35}, {3,36}, {27,50}, {4,32}, {24,54}, {5,53}, {2,49}, {23,30} }; // ETB54.29 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 324 EdgesBipt[54][28]:={ {17,50}, {6,32}, {21,48}, {21,40}, {15,46}, {17,47}, {10,37}, {4,53}, {5,38}, {12,32}, {18,38}, {4,29}, {18,50}, {3,45}, {8,33}, {23,28}, {7,54}, {4,31}, {22,42}, {12,42}, {13,53}, {3,35}, {25,50}, {9,43}, {24,51}, {14,31}, {11,41}, {19,48}, {2,41}, {13,47}, {12,34}, {1,30}, {27,44}, {14,28}, {16,43}, {15,45}, {19,33}, {11,38}, {2,34}, {10,38}, {9,29}, {19,40}, {24,37}, {25,36}, {15,40}, {5,29}, {12,49}, {10,52}, {19,29}, {14,40}, {2,39}, {17,39}, {24,42}, {10,41}, {27,40}, {7,43}, {2,35}, {21,44}, {1,51}, {4,33}, {9,54}, {3,51}, {4,52}, {22,51}, {17,43}, {7,30}, {7,50}, {13,31}, {26,37}, {23,37}, {23,35}, {8,36}, {6,33}, {15,53}, {16,32}, {20,44}, {13,44}, {14,47}, {1,45}, {8,35}, {18,47}, {27,49}, {9,51}, {18,36}, {26,36}, {16,38}, {21,33}, {5,28}, {24,35}, {17,52}, {25,37}, {27,42}, {25,40}, {26,42}, {18,52}, {20,29}, {23,53}, {19,46}, {5,54}, {16,45}, {5,31}, {1,39}, {22,28}, {25,49}, {6,54}, {20,46}, {6,28}, {22,31}, {9,30}, {13,46}, {23,49}, {14,45}, {25,46}, {16,36}, {11,37}, {20,34}, {22,49}, {14,44}, {3,48}, {8,50}, {10,34}, {11,32}, {24,53}, {2,47}, {10,49}, {6,38}, {12,52}, {9,36}, {18,45}, {15,28}, {16,39}, {12,48}, {11,48}, {26,44}, {20,41}, {27,43}, {3,41}, {1,48}, {26,46}, {15,39}, {8,51}, {7,33}, {26,43}, {3,47}, {7,35}, {13,39}, {6,53}, {2,30}, {20,54}, {19,34}, {22,30}, {1,34}, {21,41}, {17,32}, {11,42}, {27,50}, {8,29}, {5,52}, {4,32}, {24,31}, {21,54}, {23,30} }; // ETB54.30 // Bipartite(27,27) Valencies [6,6] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 648 EdgesBipt[54][29]:={ {17,50}, {17,44}, {17,36}, {21,48}, {16,33}, {24,48}, {3,40}, {12,45}, {10,37}, {26,31}, {16,40}, {8,43}, {2,51}, {22,53}, {8,28}, {15,31}, {1,32}, {3,45}, {12,39}, {4,31}, {22,42}, {3,37}, {24,51}, {19,47}, {24,30}, {15,47}, {21,43}, {12,35}, {24,44}, {2,41}, {24,36}, {9,53}, {18,41}, {14,28}, {20,30}, {17,46}, {13,29}, {2,54}, {21,49}, {10,53}, {14,54}, {23,52}, {16,30}, {4,38}, {3,34}, {5,40}, {11,38}, {11,33}, {1,50}, {26,28}, {19,40}, {10,47}, {5,50}, {22,34}, {12,36}, {1,44}, {4,41}, {5,29}, {2,38}, {8,47}, {24,43}, {12,49}, {27,29}, {7,46}, {22,41}, {7,32}, {7,49}, {27,40}, {10,28}, {2,35}, {25,34}, {9,54}, {10,31}, {25,54}, {14,53}, {2,48}, {4,52}, {26,35}, {1,29}, {8,36}, {19,42}, {25,48}, {18,43}, {11,29}, {20,44}, {6,44}, {15,35}, {11,30}, {9,37}, {27,38}, {17,49}, {18,53}, {5,48}, {8,35}, {1,28}, {27,52}, {23,47}, {25,45}, {18,47}, {10,46}, {16,48}, {21,33}, {13,36}, {1,52}, {7,31}, {26,42}, {18,52}, {13,30}, {6,51}, {25,32}, {22,39}, {14,49}, {19,51}, {6,54}, {26,41}, {20,46}, {19,36}, {6,28}, {9,30}, {21,50}, {13,46}, {16,34}, {23,40}, {6,42}, {20,52}, {20,34}, {23,33}, {22,49}, {4,34}, {23,46}, {11,32}, {15,33}, {14,32}, {19,39}, {18,51}, {14,43}, {15,38}, {3,42}, {16,39}, {9,39}, {27,51}, {9,38}, {27,37}, {20,53}, {7,45}, {13,37}, {5,45}, {23,50}, {3,31}, {15,39}, {7,33}, {6,37}, {17,42}, {11,43}, {13,45}, {5,35}, {21,41}, {26,50}, {12,54}, {8,29}, {4,32}, {25,44} }; // ETB54.31 // Bipartite(27,27) Valencies [6,6] // Diameter 9 Girth 4 // Has twins VT AT // Automorphism group of order 3656158440062976 EdgesBipt[54][30]:={ {13,32}, {25,31}, {21,48}, {5,34}, {18,29}, {10,37}, {4,50}, {16,40}, {8,42}, {8,28}, {18,38}, {16,31}, {27,47}, {8,33}, {3,43}, {7,44}, {12,39}, {9,49}, {24,51}, {26,33}, {22,32}, {11,41}, {19,48}, {21,43}, {15,54}, {3,52}, {2,41}, {24,36}, {12,34}, {1,30}, {23,43}, {17,46}, {11,50}, {23,44}, {21,52}, {10,30}, {23,52}, {15,45}, {19,28}, {3,34}, {22,45}, {20,38}, {11,38}, {10,48}, {20,50}, {9,47}, {26,28}, {9,29}, {17,37}, {19,30}, {16,53}, {25,53}, {4,41}, {2,38}, {27,29}, {5,43}, {17,51}, {22,41}, {24,42}, {23,34}, {4,45}, {7,49}, {27,40}, {10,28}, {17,33}, {18,49}, {27,31}, {15,42}, {14,53}, {12,43}, {3,39}, {26,37}, {7,53}, {23,35}, {2,32}, {6,33}, {24,45}, {11,29}, {13,50}, {27,38}, {13,54}, {1,28}, {18,47}, {27,49}, {4,54}, {10,46}, {8,37}, {15,36}, {13,36}, {16,49}, {18,31}, {7,31}, {25,40}, {26,42}, {4,36}, {25,35}, {21,39}, {6,51}, {17,28}, {20,29}, {19,46}, {23,53}, {9,40}, {5,44}, {12,30}, {14,34}, {22,54}, {1,39}, {21,30}, {1,46}, {16,44}, {25,49}, {6,54}, {10,39}, {1,37}, {22,50}, {6,42}, {6,36}, {3,30}, {2,29}, {16,35}, {6,45}, {14,44}, {3,48}, {15,51}, {11,32}, {15,33}, {19,39}, {13,41}, {2,47}, {14,52}, {26,51}, {20,47}, {12,52}, {11,47}, {14,43}, {12,48}, {9,38}, {20,41}, {8,46}, {14,35}, {1,48}, {26,46}, {21,34}, {18,40}, {8,51}, {17,42}, {7,35}, {13,45}, {5,35}, {22,36}, {9,31}, {24,33}, {7,40}, {19,37}, {20,32}, {5,52}, {4,32}, {24,54}, {25,44}, {5,53}, {2,50} }; // ETB54.32 // Bipartite(27,27) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13060694016 EdgesBipt[54][31]:={ {8,48}, {15,52}, {13,52}, {25,31}, {6,32}, {17,36}, {23,29}, {25,51}, {15,46}, {14,51}, {21,47}, {7,48}, {8,43}, {9,45}, {16,47}, {7,38}, {8,54}, {8,28}, {25,38}, {16,31}, {4,29}, {8,33}, {12,39}, {22,42}, {22,52}, {26,33}, {7,51}, {15,43}, {27,33}, {12,34}, {18,41}, {5,32}, {9,35}, {20,30}, {13,29}, {21,49}, {11,50}, {2,42}, {10,53}, {23,44}, {23,32}, {19,28}, {3,34}, {5,40}, {22,45}, {20,50}, {1,50}, {26,28}, {3,49}, {15,32}, {24,37}, {27,30}, {12,36}, {5,29}, {24,43}, {11,49}, {12,49}, {2,37}, {12,44}, {14,40}, {4,42}, {9,41}, {10,41}, {19,53}, {4,45}, {27,40}, {10,28}, {20,31}, {11,31}, {17,33}, {21,44}, {3,44}, {6,43}, {24,52}, {24,32}, {14,53}, {4,52}, {26,48}, {17,43}, {3,39}, {18,30}, {8,36}, {25,48}, {19,41}, {6,46}, {11,30}, {12,47}, {15,37}, {17,48}, {13,54}, {1,28}, {4,54}, {10,46}, {26,36}, {18,33}, {16,48}, {22,29}, {16,38}, {7,31}, {25,35}, {21,39}, {17,54}, {7,47}, {17,28}, {16,51}, {19,46}, {23,53}, {9,40}, {25,47}, {22,39}, {5,44}, {26,54}, {27,45}, {20,49}, {22,54}, {27,41}, {1,46}, {5,51}, {1,53}, {9,30}, {24,38}, {13,42}, {20,37}, {23,40}, {11,37}, {16,35}, {14,44}, {10,34}, {14,32}, {20,42}, {6,38}, {2,31}, {10,50}, {9,33}, {27,35}, {15,38}, {18,45}, {6,52}, {1,41}, {19,50}, {21,36}, {21,34}, {18,40}, {24,46}, {6,37}, {26,43}, {3,47}, {7,35}, {13,39}, {2,30}, {13,45}, {19,34}, {1,34}, {11,42}, {3,36}, {4,39}, {18,35}, {5,53}, {14,29}, {2,50}, {2,49}, {23,51} }; // ETB54.33 // Bipartite(18,36) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[54][32]:={ {11,53}, {16,41}, {10,25}, {10,24}, {13,52}, {13,32}, {5,34}, {18,48}, {16,33}, {17,38}, {17,47}, {4,53}, {4,50}, {8,30}, {14,39}, {17,53}, {8,43}, {12,22}, {2,51}, {1,32}, {12,38}, {7,44}, {1,40}, {17,34}, {7,54}, {9,44}, {10,33}, {1,19}, {13,35}, {14,31}, {7,34}, {15,47}, {7,51}, {15,54}, {14,50}, {17,21}, {2,41}, {9,53}, {13,47}, {8,27}, {13,29}, {12,50}, {16,29}, {2,42}, {18,42}, {15,25}, {18,37}, {15,45}, {6,21}, {3,34}, {11,33}, {6,40}, {2,36}, {8,19}, {9,29}, {18,20}, {12,20}, {8,41}, {2,38}, {9,19}, {17,51}, {7,46}, {5,25}, {4,45}, {18,49}, {5,23}, {3,20}, {6,49}, {16,37}, {17,43}, {3,32}, {1,23}, {6,24}, {13,44}, {5,30}, {15,35}, {11,30}, {5,46}, {12,28}, {8,22}, {8,35}, {3,27}, {14,37}, {4,54}, {16,48}, {10,51}, {5,42}, {9,22}, {18,52}, {4,36}, {13,24}, {11,24}, {5,31}, {6,26}, {12,40}, {3,23}, {18,19}, {18,25}, {1,39}, {6,28}, {10,39}, {13,42}, {16,21}, {4,37}, {6,36}, {2,29}, {10,27}, {1,26}, {10,36}, {15,22}, {11,32}, {4,49}, {12,52}, {14,43}, {15,38}, {8,49}, {16,46}, {11,45}, {11,48}, {3,28}, {5,45}, {3,41}, {1,48}, {15,39}, {10,20}, {17,26}, {14,46}, {7,33}, {12,31}, {3,47}, {11,43}, {2,30}, {1,54}, {9,31}, {7,52}, {6,35}, {9,21}, {16,28}, {7,40}, {4,44}, {9,23}, {14,27}, {2,50}, {14,26} }; // ETB54.34 // Bipartite(18,36) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[54][33]:={ {15,52}, {11,20}, {2,33}, {4,27}, {2,46}, {11,35}, {13,40}, {18,48}, {18,29}, {4,26}, {15,46}, {17,47}, {18,32}, {16,27}, {8,30}, {16,40}, {14,39}, {8,43}, {2,51}, {1,32}, {7,54}, {9,44}, {4,19}, {12,39}, {4,31}, {8,52}, {12,41}, {3,37}, {13,35}, {15,48}, {2,26}, {7,34}, {15,47}, {17,24}, {15,54}, {14,50}, {8,25}, {1,30}, {16,23}, {4,23}, {17,46}, {12,37}, {12,50}, {10,53}, {16,43}, {10,30}, {2,45}, {6,21}, {14,23}, {6,40}, {6,31}, {4,22}, {10,38}, {9,29}, {3,49}, {8,19}, {14,21}, {14,36}, {16,24}, {1,44}, {2,38}, {12,46}, {11,51}, {5,25}, {17,23}, {10,41}, {11,22}, {7,49}, {1,22}, {18,49}, {13,22}, {15,42}, {9,42}, {12,43}, {1,29}, {8,36}, {16,32}, {14,47}, {17,30}, {5,49}, {13,54}, {9,20}, {18,27}, {3,50}, {10,45}, {18,33}, {15,36}, {10,43}, {5,41}, {17,28}, {5,54}, {8,21}, {1,24}, {5,44}, {18,25}, {5,36}, {17,19}, {6,19}, {1,53}, {6,28}, {13,27}, {14,20}, {1,37}, {16,34}, {16,21}, {5,39}, {7,28}, {11,26}, {3,53}, {10,35}, {3,48}, {10,34}, {15,51}, {11,32}, {13,48}, {13,41}, {6,38}, {2,31}, {18,51}, {9,33}, {12,52}, {9,39}, {4,25}, {17,45}, {3,38}, {9,52}, {12,24}, {3,28}, {7,45}, {13,37}, {7,33}, {11,34}, {3,47}, {6,20}, {9,31}, {6,35}, {11,42}, {7,40}, {7,42}, {4,44}, {8,29}, {5,53}, {2,50}, {14,26} }; // ETB54.35 // Bipartite(18,36) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[54][34]:={ {13,41}, {14,21}, {16,34}, {9,40}, {7,39}, {18,41}, {12,48}, {12,49}, {8,31}, {1,43}, {2,38}, {10,22}, {12,19}, {5,42}, {18,53}, {5,50}, {3,46}, {16,30}, {18,39}, {6,51}, {13,54}, {7,38}, {1,25}, {12,40}, {2,47}, {12,31}, {15,44}, {7,54}, {17,35}, {16,40}, {9,19}, {13,27}, {1,44}, {9,21}, {3,30}, {11,22}, {13,43}, {10,52}, {13,42}, {7,51}, {6,45}, {14,20}, {11,52}, {10,45}, {5,26}, {4,26}, {3,51}, {8,41}, {15,32}, {2,29}, {3,48}, {7,28}, {6,43}, {1,34}, {17,31}, {9,38}, {5,33}, {5,23}, {17,30}, {2,52}, {15,22}, {13,33}, {17,24}, {6,49}, {7,26}, {18,33}, {10,25}, {4,33}, {4,53}, {14,50}, {16,35}, {10,37}, {15,46}, {15,20}, {11,39}, {5,29}, {2,42}, {3,27}, {1,19}, {11,51}, {14,44}, {9,54}, {4,25}, {10,29}, {11,26}, {1,53}, {18,27}, {17,36}, {9,48}, {12,23}, {3,52}, {11,36}, {18,32}, {14,36}, {5,38}, {15,21}, {2,48}, {16,54}, {2,46}, {18,46}, {14,31}, {9,28}, {5,47}, {3,24}, {11,25}, {8,20}, {8,23}, {14,47}, {3,49}, {8,49}, {17,34}, {17,50}, {8,45}, {7,21}, {16,43}, {4,50}, {12,41}, {16,42}, {15,47}, {12,32}, {1,28}, {8,37}, {10,20}, {9,32}, {6,24}, {18,22}, {16,37}, {6,44}, {4,34}, {10,35}, {6,27}, {1,45}, {13,37}, {7,36}, {15,53}, {17,40}, {4,23}, {11,35}, {2,30}, {4,19}, {14,24}, {8,29}, {6,28}, {13,39} }; // ETB54.36 // Bipartite(18,36) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[54][35]:={ {6,48}, {3,33}, {16,41}, {17,36}, {4,27}, {2,46}, {5,34}, {13,40}, {18,48}, {16,33}, {18,29}, {4,26}, {17,38}, {15,46}, {11,25}, {9,45}, {8,54}, {16,31}, {4,29}, {15,44}, {1,19}, {3,37}, {17,24}, {15,54}, {12,35}, {14,50}, {3,52}, {2,41}, {2,28}, {17,40}, {17,46}, {16,29}, {2,42}, {10,53}, {18,37}, {2,45}, {6,47}, {2,25}, {1,38}, {1,50}, {7,20}, {14,21}, {9,32}, {5,50}, {12,36}, {1,44}, {9,19}, {11,49}, {11,51}, {8,45}, {17,51}, {7,39}, {11,22}, {10,28}, {4,47}, {18,49}, {5,23}, {9,54}, {10,31}, {9,34}, {15,42}, {10,21}, {12,43}, {7,30}, {9,25}, {14,48}, {16,32}, {11,23}, {13,44}, {17,30}, {5,24}, {12,47}, {17,27}, {4,48}, {13,54}, {15,20}, {14,41}, {14,37}, {9,51}, {4,43}, {1,33}, {18,33}, {4,46}, {15,36}, {8,26}, {18,31}, {16,22}, {9,22}, {13,30}, {10,43}, {7,47}, {8,32}, {3,19}, {13,24}, {6,27}, {5,44}, {6,26}, {8,40}, {12,53}, {12,30}, {3,23}, {8,23}, {14,49}, {1,39}, {1,53}, {6,41}, {6,28}, {13,27}, {10,39}, {13,42}, {16,21}, {5,39}, {7,28}, {11,26}, {6,42}, {3,53}, {8,34}, {3,24}, {2,29}, {6,45}, {10,36}, {15,51}, {18,22}, {14,32}, {11,40}, {12,52}, {15,38}, {8,49}, {11,19}, {4,25}, {3,38}, {14,35}, {10,20}, {12,31}, {7,35}, {16,50}, {13,20}, {1,34}, {7,52}, {5,37}, {2,43}, {18,35}, {7,21}, {5,52} }; // ETB54.37 // Bipartite(18,36) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[54][36]:={ {6,48}, {8,48}, {11,53}, {11,20}, {6,32}, {17,36}, {4,27}, {2,46}, {13,21}, {13,40}, {18,48}, {4,26}, {10,37}, {4,53}, {4,30}, {16,27}, {14,39}, {9,45}, {12,32}, {18,50}, {16,19}, {9,44}, {14,38}, {1,19}, {13,53}, {5,20}, {2,26}, {7,34}, {17,24}, {1,21}, {16,25}, {3,52}, {9,53}, {2,28}, {1,30}, {16,23}, {9,35}, {8,44}, {2,54}, {12,50}, {18,42}, {14,54}, {10,30}, {6,29}, {15,29}, {11,33}, {6,40}, {14,33}, {2,34}, {5,22}, {4,22}, {7,20}, {12,36}, {5,43}, {12,44}, {8,45}, {7,46}, {17,51}, {2,39}, {17,39}, {10,41}, {7,43}, {2,35}, {4,33}, {10,29}, {10,31}, {9,34}, {3,51}, {9,42}, {16,37}, {12,43}, {3,32}, {8,36}, {15,50}, {2,32}, {13,43}, {1,23}, {11,29}, {13,44}, {14,47}, {15,35}, {17,49}, {5,49}, {8,22}, {13,25}, {15,20}, {13,28}, {18,27}, {14,41}, {14,37}, {18,47}, {9,51}, {10,46}, {18,33}, {4,46}, {16,49}, {8,26}, {17,31}, {5,42}, {7,31}, {13,30}, {5,41}, {7,47}, {17,28}, {12,27}, {11,52}, {5,54}, {16,45}, {1,42}, {1,24}, {12,23}, {11,24}, {17,25}, {11,39}, {6,26}, {3,23}, {3,21}, {5,51}, {16,34}, {15,21}, {14,45}, {8,38}, {10,36}, {15,22}, {8,24}, {6,25}, {4,49}, {10,50}, {15,38}, {15,28}, {6,52}, {11,19}, {3,38}, {9,52}, {1,41}, {1,48}, {3,31}, {18,40}, {6,37}, {3,47}, {7,19}, {12,54}, {18,35}, {7,40} }; // ETB54.38 // Bipartite(18,36) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[54][37]:={ {14,39}, {7,42}, {16,34}, {9,40}, {6,48}, {10,21}, {10,54}, {9,52}, {11,44}, {14,25}, {16,36}, {8,39}, {17,47}, {18,40}, {12,39}, {12,19}, {18,53}, {4,48}, {6,41}, {1,46}, {6,23}, {10,38}, {2,20}, {13,24}, {11,42}, {1,25}, {5,24}, {7,31}, {12,33}, {16,40}, {8,46}, {3,50}, {9,37}, {17,42}, {15,52}, {17,54}, {14,20}, {3,51}, {6,22}, {1,29}, {6,54}, {8,44}, {6,43}, {1,34}, {17,31}, {17,30}, {10,34}, {4,20}, {13,44}, {15,22}, {13,33}, {7,41}, {4,46}, {8,28}, {10,25}, {2,32}, {8,21}, {4,28}, {7,29}, {10,39}, {13,49}, {15,49}, {5,51}, {16,35}, {4,43}, {14,28}, {8,26}, {13,45}, {4,45}, {3,27}, {4,30}, {18,50}, {1,19}, {2,40}, {15,19}, {7,52}, {2,35}, {11,51}, {12,35}, {13,30}, {8,19}, {11,26}, {1,53}, {13,22}, {6,29}, {18,27}, {12,23}, {14,32}, {9,33}, {11,41}, {12,38}, {17,22}, {3,35}, {5,46}, {1,23}, {2,21}, {2,48}, {2,54}, {18,28}, {6,38}, {14,31}, {16,45}, {5,47}, {14,53}, {5,36}, {5,31}, {17,37}, {9,24}, {15,37}, {11,48}, {18,43}, {3,21}, {18,29}, {11,30}, {3,49}, {11,27}, {8,49}, {10,51}, {10,42}, {9,47}, {15,27}, {15,41}, {13,23}, {14,52}, {2,26}, {16,43}, {12,32}, {3,36}, {7,50}, {16,38}, {17,32}, {4,47}, {5,44}, {7,34}, {3,33}, {1,45}, {7,36}, {15,53}, {9,50}, {12,37}, {5,25}, {9,20}, {18,26}, {16,24} }; // ETB54.39 // Bipartite(18,36) Valencies [8,4] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24346898290704384 EdgesBipt[54][38]:={ {16,41}, {17,50}, {11,20}, {13,52}, {11,36}, {4,27}, {15,24}, {10,37}, {7,48}, {8,43}, {5,38}, {7,41}, {17,34}, {10,26}, {14,38}, {12,39}, {8,52}, {15,44}, {9,49}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {14,31}, {10,44}, {8,25}, {16,23}, {12,37}, {2,54}, {10,53}, {18,42}, {2,45}, {16,30}, {5,40}, {11,38}, {3,46}, {2,36}, {5,22}, {1,44}, {5,29}, {8,41}, {2,38}, {12,46}, {14,40}, {7,39}, {7,32}, {17,23}, {15,26}, {4,45}, {10,28}, {18,49}, {15,42}, {9,42}, {2,20}, {4,52}, {17,43}, {7,30}, {7,50}, {3,39}, {6,33}, {15,53}, {16,32}, {13,43}, {11,29}, {6,24}, {14,47}, {6,44}, {15,35}, {12,28}, {5,49}, {13,25}, {18,24}, {13,54}, {1,28}, {9,51}, {4,54}, {10,46}, {4,43}, {18,33}, {16,48}, {13,36}, {18,31}, {17,52}, {9,22}, {11,54}, {4,36}, {6,51}, {9,40}, {8,32}, {3,19}, {14,22}, {5,31}, {17,25}, {12,19}, {6,26}, {12,30}, {8,23}, {14,49}, {3,21}, {1,46}, {1,53}, {17,41}, {13,27}, {1,35}, {14,20}, {1,37}, {16,21}, {6,42}, {10,35}, {7,23}, {3,30}, {8,34}, {2,29}, {11,27}, {1,26}, {4,34}, {3,48}, {8,50}, {15,51}, {18,22}, {15,33}, {2,47}, {18,51}, {9,33}, {11,47}, {16,39}, {12,48}, {10,19}, {4,25}, {11,45}, {3,28}, {9,24}, {18,40}, {13,34}, {16,50}, {6,53}, {13,45}, {9,31}, {6,35}, {17,32}, {7,21}, {12,21}, {14,29} }; // ETB54.40 // Bipartite(18,36) Valencies [8,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 190210142896128 EdgesBipt[54][39]:={ {11,43}, {7,19}, {7,42}, {5,32}, {10,54}, {12,49}, {12,26}, {2,38}, {11,23}, {9,30}, {3,29}, {3,38}, {6,36}, {5,50}, {10,27}, {18,39}, {8,36}, {7,24}, {1,46}, {2,20}, {4,40}, {4,49}, {12,40}, {2,47}, {7,33}, {12,31}, {15,44}, {13,48}, {12,22}, {16,51}, {5,41}, {2,33}, {6,25}, {9,39}, {16,23}, {1,44}, {9,21}, {10,44}, {10,53}, {17,42}, {18,21}, {7,51}, {6,45}, {3,34}, {12,53}, {16,41}, {11,52}, {10,45}, {16,33}, {6,34}, {13,46}, {8,41}, {2,29}, {14,27}, {5,37}, {6,54}, {7,28}, {6,43}, {11,34}, {15,39}, {17,31}, {9,38}, {5,23}, {4,20}, {10,36}, {17,24}, {4,29}, {5,19}, {18,25}, {14,45}, {15,35}, {4,31}, {2,42}, {18,34}, {1,19}, {14,49}, {17,33}, {3,47}, {18,48}, {5,28}, {12,35}, {13,30}, {1,35}, {1,26}, {17,51}, {1,53}, {17,49}, {9,48}, {15,26}, {4,38}, {6,52}, {2,24}, {11,41}, {11,50}, {3,52}, {17,22}, {14,36}, {15,21}, {12,44}, {5,46}, {14,22}, {8,27}, {14,31}, {8,32}, {4,22}, {11,25}, {13,28}, {8,23}, {2,51}, {8,54}, {8,50}, {18,43}, {13,21}, {16,50}, {1,37}, {18,52}, {9,47}, {11,32}, {18,30}, {9,29}, {3,25}, {7,46}, {8,45}, {7,37}, {3,20}, {16,42}, {14,40}, {1,28}, {14,54}, {10,26}, {3,43}, {6,27}, {10,35}, {4,47}, {13,19}, {13,37}, {15,30}, {16,32}, {15,53}, {17,40}, {9,20}, {15,48}, {13,39}, {16,24} }; // ETB54.41 // Bipartite(18,36) Valencies [8,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9663676416 EdgesBipt[54][40]:={ {10,19}, {4,35}, {7,42}, {7,39}, {16,36}, {12,49}, {1,43}, {2,38}, {15,43}, {18,44}, {5,52}, {14,34}, {2,22}, {9,42}, {8,51}, {1,31}, {4,48}, {7,24}, {10,43}, {2,20}, {4,40}, {3,54}, {5,34}, {17,19}, {1,25}, {12,31}, {13,48}, {18,42}, {7,54}, {5,41}, {6,25}, {12,33}, {8,46}, {11,38}, {11,22}, {12,27}, {3,45}, {15,52}, {3,31}, {6,34}, {5,26}, {3,51}, {10,23}, {11,45}, {18,24}, {6,53}, {6,43}, {16,21}, {5,23}, {17,30}, {15,34}, {17,48}, {8,33}, {12,54}, {8,28}, {16,47}, {10,25}, {15,25}, {10,41}, {7,29}, {12,51}, {4,53}, {7,47}, {10,31}, {10,37}, {13,35}, {15,20}, {15,35}, {11,39}, {5,29}, {13,53}, {16,29}, {17,46}, {3,27}, {4,30}, {18,50}, {14,26}, {1,19}, {2,40}, {17,33}, {14,44}, {13,30}, {8,19}, {17,51}, {13,40}, {13,22}, {6,52}, {9,44}, {2,27}, {18,32}, {1,23}, {2,21}, {10,49}, {16,54}, {18,28}, {18,46}, {6,38}, {2,39}, {13,32}, {14,23}, {11,40}, {9,28}, {4,22}, {5,47}, {1,49}, {13,50}, {17,37}, {9,24}, {12,36}, {14,47}, {11,21}, {9,26}, {6,20}, {9,46}, {1,41}, {3,49}, {11,27}, {4,32}, {1,37}, {14,52}, {8,48}, {15,38}, {11,20}, {7,21}, {4,50}, {16,42}, {14,29}, {3,36}, {8,37}, {14,41}, {9,32}, {6,35}, {8,30}, {17,28}, {5,44}, {3,33}, {7,36}, {15,53}, {9,50}, {16,39}, {12,45}, {18,26}, {2,45}, {16,24} }; // ETB54.42 // Bipartite(18,36) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 185794560 EdgesBipt[54][41]:={ {6,48}, {16,41}, {17,50}, {10,24}, {11,20}, {17,44}, {17,36}, {13,21}, {16,33}, {4,26}, {3,40}, {4,53}, {4,30}, {16,40}, {7,48}, {14,39}, {8,54}, {8,28}, {15,31}, {3,43}, {3,25}, {7,41}, {2,19}, {1,19}, {13,53}, {3,35}, {13,35}, {15,48}, {14,31}, {12,35}, {18,41}, {8,44}, {2,54}, {12,50}, {18,34}, {18,42}, {6,29}, {2,45}, {16,30}, {15,45}, {15,29}, {4,38}, {6,31}, {1,38}, {14,33}, {4,22}, {10,38}, {10,47}, {17,37}, {14,21}, {9,26}, {18,20}, {9,27}, {11,49}, {2,52}, {17,51}, {7,46}, {9,41}, {5,25}, {7,32}, {1,51}, {4,21}, {10,29}, {9,34}, {13,22}, {9,42}, {2,20}, {13,49}, {12,43}, {1,29}, {7,30}, {4,35}, {8,36}, {2,32}, {15,53}, {16,32}, {12,47}, {12,25}, {15,37}, {14,42}, {15,34}, {8,22}, {18,24}, {9,20}, {18,26}, {18,27}, {3,50}, {3,27}, {10,46}, {18,36}, {6,23}, {16,48}, {8,37}, {10,51}, {5,42}, {11,54}, {13,30}, {17,54}, {17,28}, {12,27}, {11,52}, {1,24}, {12,23}, {5,31}, {5,44}, {12,40}, {3,23}, {1,39}, {1,46}, {10,39}, {14,25}, {5,39}, {7,28}, {13,26}, {5,33}, {6,45}, {14,44}, {8,50}, {11,32}, {1,47}, {4,49}, {14,52}, {9,36}, {6,34}, {16,46}, {13,38}, {11,19}, {10,19}, {11,45}, {15,23}, {9,24}, {8,51}, {7,33}, {6,37}, {3,47}, {17,22}, {11,43}, {5,21}, {6,53}, {2,43}, {16,28}, {7,40}, {5,52}, {2,49} }; // ETB54.43 // Bipartite(18,36) Valencies [8,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[54][42]:={ {14,39}, {16,25}, {14,21}, {16,34}, {6,39}, {6,48}, {10,54}, {18,41}, {12,48}, {13,29}, {17,39}, {2,38}, {10,22}, {9,30}, {12,19}, {17,27}, {15,54}, {18,53}, {8,51}, {1,31}, {7,40}, {13,54}, {2,20}, {4,40}, {3,53}, {10,40}, {5,41}, {2,33}, {16,40}, {8,46}, {14,42}, {18,23}, {7,23}, {3,45}, {6,45}, {3,34}, {11,52}, {12,25}, {17,44}, {10,47}, {5,26}, {15,28}, {11,45}, {11,49}, {3,41}, {6,53}, {17,45}, {12,30}, {11,34}, {14,33}, {17,31}, {5,23}, {13,44}, {10,36}, {7,41}, {8,33}, {9,43}, {4,46}, {8,28}, {1,36}, {13,26}, {18,38}, {14,30}, {6,21}, {4,28}, {7,29}, {13,49}, {15,36}, {7,47}, {16,19}, {16,52}, {4,43}, {15,46}, {3,23}, {5,29}, {13,47}, {3,27}, {18,50}, {1,19}, {14,51}, {7,52}, {15,33}, {9,25}, {4,25}, {10,29}, {11,37}, {2,44}, {17,49}, {9,48}, {12,24}, {18,35}, {3,52}, {18,32}, {5,38}, {3,35}, {2,21}, {1,54}, {12,43}, {15,42}, {6,30}, {10,28}, {9,35}, {11,19}, {9,53}, {8,38}, {2,39}, {8,32}, {4,22}, {5,20}, {5,47}, {1,49}, {11,31}, {15,51}, {8,20}, {2,51}, {1,42}, {8,50}, {16,22}, {18,20}, {17,21}, {11,27}, {4,32}, {1,37}, {12,42}, {7,22}, {2,26}, {13,36}, {16,43}, {4,50}, {17,26}, {9,32}, {6,35}, {16,37}, {13,31}, {6,27}, {10,46}, {14,48}, {5,44}, {7,34}, {9,50}, {12,37}, {15,24}, {14,24}, {1,24} }; // ETB54.44 // Bipartite(18,36) Valencies [8,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18874368 EdgesBipt[54][43]:={ {5,32}, {7,39}, {9,40}, {16,49}, {13,29}, {12,49}, {8,31}, {8,24}, {12,26}, {17,39}, {2,38}, {11,23}, {5,52}, {15,54}, {5,50}, {6,41}, {9,45}, {6,23}, {10,43}, {2,20}, {10,48}, {3,54}, {4,40}, {14,19}, {5,34}, {7,33}, {12,31}, {16,51}, {18,42}, {17,35}, {6,25}, {12,33}, {15,40}, {9,19}, {14,42}, {1,32}, {9,37}, {16,20}, {8,42}, {12,27}, {3,45}, {7,51}, {15,52}, {13,38}, {2,28}, {11,52}, {16,33}, {18,51}, {13,20}, {10,23}, {10,30}, {18,24}, {8,44}, {6,53}, {6,43}, {11,34}, {17,53}, {16,21}, {17,23}, {4,37}, {15,34}, {15,22}, {9,27}, {1,36}, {18,33}, {10,25}, {3,40}, {8,47}, {10,41}, {7,29}, {12,51}, {13,49}, {15,36}, {1,50}, {7,47}, {3,22}, {5,43}, {7,53}, {8,26}, {13,35}, {11,46}, {13,53}, {11,28}, {17,46}, {13,47}, {3,27}, {14,26}, {1,19}, {14,44}, {5,28}, {18,27}, {7,35}, {11,41}, {3,42}, {9,44}, {14,36}, {2,43}, {12,44}, {5,46}, {2,21}, {1,54}, {2,46}, {6,38}, {2,39}, {14,37}, {4,22}, {3,24}, {11,48}, {6,20}, {9,26}, {18,29}, {11,30}, {17,21}, {4,32}, {8,49}, {1,37}, {17,41}, {10,32}, {4,52}, {18,45}, {7,21}, {4,50}, {18,47}, {10,50}, {2,25}, {3,36}, {14,54}, {6,35}, {16,38}, {17,28}, {13,31}, {4,34}, {15,30}, {1,30}, {16,31}, {16,39}, {1,48}, {5,25}, {4,19}, {14,24}, {12,45}, {8,29}, {15,48}, {9,22} }; // ETB54.45 // Bipartite(18,36) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18874368 EdgesBipt[54][44]:={ {4,35}, {6,39}, {7,39}, {10,54}, {15,23}, {1,43}, {17,39}, {10,22}, {18,40}, {18,44}, {2,22}, {11,33}, {3,46}, {10,48}, {13,24}, {4,40}, {1,25}, {2,47}, {2,37}, {16,51}, {13,34}, {10,40}, {6,50}, {6,32}, {6,25}, {17,42}, {13,42}, {14,35}, {7,23}, {8,34}, {6,45}, {3,34}, {11,54}, {3,31}, {9,51}, {16,33}, {2,19}, {5,26}, {18,51}, {2,29}, {3,19}, {10,30}, {5,37}, {11,49}, {16,53}, {6,43}, {13,44}, {10,36}, {17,24}, {7,41}, {9,43}, {12,54}, {18,33}, {13,26}, {18,38}, {2,50}, {2,32}, {6,21}, {7,29}, {15,49}, {4,53}, {7,47}, {16,35}, {4,43}, {5,19}, {8,35}, {8,53}, {11,39}, {17,46}, {15,45}, {14,26}, {1,19}, {2,40}, {7,52}, {14,49}, {11,51}, {14,44}, {9,25}, {4,25}, {12,23}, {9,33}, {12,38}, {3,52}, {11,36}, {15,31}, {16,27}, {5,27}, {5,45}, {10,28}, {14,31}, {16,45}, {8,38}, {13,32}, {4,22}, {9,28}, {3,28}, {13,50}, {11,31}, {14,53}, {5,36}, {12,36}, {8,20}, {14,47}, {1,42}, {11,21}, {18,20}, {9,46}, {3,49}, {17,21}, {8,52}, {1,37}, {9,47}, {15,27}, {15,41}, {9,29}, {8,48}, {17,38}, {7,21}, {12,41}, {16,42}, {14,29}, {12,32}, {13,52}, {3,37}, {18,22}, {8,30}, {17,28}, {17,20}, {6,27}, {10,46}, {4,41}, {5,44}, {7,34}, {12,50}, {15,30}, {4,23}, {1,30}, {12,20}, {1,48}, {18,26}, {1,24}, {5,54}, {15,48}, {16,24} }; // ETB54.46 // Bipartite(27,27) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 432 EdgesBipt[54][45]:={ {2,44}, {11,53}, {13,32}, {25,31}, {17,36}, {18,29}, {21,40}, {15,46}, {12,45}, {4,30}, {8,30}, {26,31}, {22,37}, {21,47}, {5,38}, {12,32}, {15,49}, {21,37}, {4,29}, {18,50}, {3,45}, {8,33}, {3,43}, {7,41}, {17,34}, {9,44}, {4,31}, {8,52}, {12,42}, {22,52}, {25,50}, {21,35}, {9,43}, {13,35}, {24,51}, {22,32}, {7,51}, {15,43}, {2,41}, {9,53}, {2,28}, {9,35}, {8,44}, {17,46}, {16,29}, {2,42}, {18,34}, {10,53}, {10,30}, {6,29}, {23,52}, {15,45}, {19,28}, {23,32}, {5,40}, {20,38}, {10,48}, {6,31}, {2,36}, {1,50}, {9,47}, {19,40}, {10,47}, {24,37}, {25,53}, {27,30}, {25,36}, {4,41}, {8,41}, {11,49}, {12,49}, {5,43}, {16,54}, {19,29}, {11,51}, {7,46}, {2,39}, {17,39}, {24,39}, {26,40}, {23,34}, {7,43}, {11,31}, {17,33}, {23,36}, {3,44}, {19,38}, {20,33}, {6,43}, {18,49}, {15,42}, {13,49}, {2,48}, {22,51}, {26,48}, {7,30}, {19,52}, {24,47}, {15,41}, {13,33}, {14,48}, {25,48}, {16,32}, {13,44}, {21,51}, {5,30}, {12,47}, {27,38}, {8,53}, {14,42}, {1,45}, {15,34}, {27,53}, {24,49}, {26,38}, {27,36}, {1,28}, {24,34}, {23,47}, {3,50}, {23,38}, {25,45}, {4,54}, {18,36}, {10,45}, {18,33}, {3,29}, {1,43}, {21,33}, {5,28}, {16,49}, {10,51}, {25,37}, {27,42}, {7,31}, {25,40}, {26,42}, {17,54}, {7,47}, {17,28}, {20,29}, {19,46}, {11,52}, {5,54}, {22,39}, {5,44}, {27,45}, {12,30}, {14,34}, {1,39}, {10,32}, {19,51}, {20,46}, {6,41}, {6,28}, {24,38}, {20,37}, {4,37}, {23,40}, {4,40}, {2,29}, {18,28}, {16,35}, {20,52}, {22,49}, {14,44}, {10,34}, {13,48}, {14,32}, {15,33}, {13,41}, {6,38}, {9,33}, {12,52}, {20,47}, {14,43}, {16,46}, {3,42}, {16,39}, {27,37}, {26,39}, {9,52}, {11,48}, {8,46}, {14,35}, {22,40}, {1,41}, {27,39}, {23,50}, {1,48}, {3,54}, {8,51}, {14,46}, {12,31}, {6,37}, {11,34}, {19,35}, {7,35}, {16,50}, {6,53}, {20,54}, {13,45}, {1,54}, {22,36}, {9,31}, {21,28}, {26,50}, {17,32}, {11,42}, {3,36}, {18,35}, {4,44}, {24,50}, {5,53}, {21,54}, {26,30} }; // ETB54.47 // Bipartite(27,27) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 432 EdgesBipt[54][46]:={ {6,48}, {8,48}, {13,32}, {25,31}, {2,33}, {17,35}, {12,29}, {5,34}, {23,29}, {18,32}, {4,30}, {16,40}, {22,53}, {8,28}, {15,49}, {16,31}, {18,38}, {4,29}, {23,28}, {12,38}, {20,40}, {7,44}, {17,34}, {9,49}, {10,33}, {22,52}, {5,47}, {21,35}, {25,29}, {9,43}, {19,47}, {14,31}, {26,33}, {11,41}, {7,51}, {15,54}, {12,35}, {26,53}, {7,36}, {24,44}, {3,52}, {1,30}, {14,28}, {9,35}, {2,54}, {12,50}, {21,52}, {10,30}, {2,45}, {16,30}, {15,29}, {20,38}, {10,48}, {1,50}, {19,54}, {3,49}, {27,28}, {10,47}, {5,50}, {22,34}, {25,36}, {15,40}, {12,36}, {1,44}, {8,41}, {11,49}, {23,45}, {16,54}, {19,29}, {17,51}, {7,39}, {17,39}, {16,52}, {27,40}, {2,53}, {20,31}, {2,35}, {11,44}, {23,36}, {20,33}, {18,49}, {9,54}, {9,34}, {25,54}, {3,51}, {25,41}, {9,42}, {2,48}, {22,51}, {16,37}, {10,40}, {12,43}, {1,29}, {7,50}, {26,37}, {4,35}, {23,37}, {23,42}, {13,33}, {14,48}, {2,32}, {19,42}, {25,48}, {15,53}, {18,43}, {20,44}, {13,50}, {8,53}, {15,34}, {17,48}, {10,42}, {1,28}, {27,52}, {18,47}, {20,51}, {10,46}, {18,36}, {18,33}, {1,43}, {4,46}, {22,43}, {8,37}, {5,28}, {13,36}, {24,35}, {27,42}, {24,41}, {13,30}, {21,39}, {7,47}, {19,46}, {25,47}, {11,52}, {8,32}, {5,31}, {12,53}, {1,39}, {21,30}, {17,29}, {6,54}, {19,45}, {17,41}, {22,47}, {27,32}, {9,30}, {10,39}, {24,38}, {13,42}, {1,37}, {19,32}, {20,37}, {23,49}, {6,42}, {23,40}, {14,45}, {6,36}, {5,33}, {11,37}, {4,51}, {18,28}, {8,38}, {20,34}, {14,44}, {13,51}, {11,32}, {19,43}, {13,41}, {21,53}, {6,38}, {4,49}, {2,40}, {14,52}, {26,51}, {22,48}, {27,35}, {14,43}, {15,38}, {16,46}, {3,42}, {6,52}, {17,45}, {3,38}, {26,39}, {11,45}, {7,45}, {8,46}, {5,45}, {21,36}, {3,41}, {26,46}, {3,31}, {15,39}, {24,46}, {6,39}, {14,46}, {12,31}, {6,37}, {26,43}, {11,34}, {3,47}, {16,50}, {22,30}, {27,34}, {9,31}, {26,49}, {21,41}, {21,28}, {24,33}, {27,50}, {7,40}, {4,44}, {4,32}, {24,50}, {24,54}, {25,44}, {5,53} }; // ETB54.48 // Bipartite(27,27) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2592 EdgesBipt[54][47]:={ {3,33}, {13,52}, {17,36}, {11,35}, {13,40}, {16,33}, {18,29}, {24,48}, {25,51}, {17,47}, {10,37}, {4,50}, {25,39}, {18,46}, {21,32}, {7,48}, {26,47}, {8,43}, {5,38}, {8,54}, {19,44}, {15,31}, {21,37}, {18,50}, {22,46}, {3,43}, {7,41}, {1,40}, {12,39}, {12,41}, {22,42}, {23,54}, {21,42}, {25,50}, {3,37}, {15,48}, {24,51}, {24,30}, {8,39}, {7,34}, {21,43}, {14,50}, {15,43}, {27,33}, {2,41}, {9,53}, {24,36}, {2,28}, {12,34}, {18,41}, {23,43}, {5,32}, {17,40}, {8,44}, {2,42}, {10,53}, {23,44}, {16,43}, {14,54}, {18,37}, {6,29}, {23,52}, {15,45}, {19,28}, {19,33}, {6,47}, {22,45}, {11,38}, {6,31}, {27,54}, {9,47}, {26,28}, {19,40}, {9,32}, {19,30}, {24,37}, {2,38}, {12,49}, {10,52}, {12,44}, {26,29}, {14,30}, {8,45}, {22,35}, {4,42}, {22,41}, {2,39}, {26,40}, {1,31}, {23,34}, {4,45}, {11,31}, {1,51}, {3,44}, {6,30}, {4,33}, {27,31}, {6,49}, {15,42}, {13,49}, {14,53}, {26,48}, {9,50}, {7,30}, {3,32}, {8,36}, {11,29}, {13,44}, {21,51}, {17,30}, {6,46}, {12,47}, {17,49}, {1,45}, {27,53}, {5,48}, {27,36}, {8,35}, {13,28}, {20,45}, {19,31}, {14,41}, {23,47}, {23,38}, {27,49}, {9,51}, {4,54}, {10,45}, {26,34}, {16,48}, {16,38}, {15,36}, {21,38}, {18,31}, {17,52}, {1,52}, {7,31}, {12,33}, {24,40}, {10,43}, {25,35}, {17,54}, {9,40}, {1,49}, {5,44}, {22,33}, {20,39}, {12,30}, {21,29}, {14,34}, {10,32}, {27,41}, {5,36}, {22,28}, {11,46}, {5,51}, {25,42}, {26,32}, {1,53}, {20,46}, {19,36}, {6,28}, {13,46}, {1,35}, {16,34}, {7,28}, {4,37}, {25,46}, {25,43}, {3,30}, {2,29}, {20,52}, {16,35}, {22,49}, {4,34}, {10,36}, {3,48}, {15,51}, {15,33}, {14,32}, {24,53}, {2,47}, {18,51}, {10,50}, {11,40}, {20,47}, {25,52}, {8,49}, {18,45}, {16,39}, {13,38}, {9,38}, {27,37}, {24,29}, {11,48}, {26,44}, {20,41}, {20,53}, {23,50}, {3,54}, {21,34}, {9,46}, {19,35}, {13,39}, {6,53}, {20,54}, {7,37}, {5,35}, {17,32}, {11,42}, {4,39}, {16,28}, {7,42}, {5,52}, {14,29}, {2,50} }; // ETB54.49 // Bipartite(27,27) Valencies [8,8] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2592 EdgesBipt[54][48]:={ {6,48}, {15,52}, {2,33}, {6,32}, {18,39}, {18,48}, {21,48}, {3,40}, {15,46}, {16,40}, {18,46}, {14,39}, {17,53}, {26,47}, {5,38}, {7,38}, {8,54}, {19,44}, {25,38}, {15,49}, {27,47}, {1,32}, {3,45}, {23,28}, {12,38}, {7,44}, {1,40}, {9,44}, {8,52}, {22,42}, {25,33}, {13,53}, {3,35}, {25,50}, {24,30}, {7,34}, {19,48}, {21,43}, {14,50}, {24,44}, {10,44}, {27,33}, {9,53}, {24,36}, {2,28}, {17,40}, {17,46}, {8,31}, {13,29}, {12,50}, {10,30}, {6,29}, {16,30}, {6,47}, {11,33}, {27,54}, {10,38}, {9,29}, {3,49}, {27,28}, {10,47}, {15,32}, {22,34}, {25,36}, {5,29}, {4,41}, {12,46}, {8,47}, {11,49}, {2,37}, {5,43}, {12,44}, {14,30}, {22,35}, {7,39}, {7,32}, {26,40}, {16,52}, {23,34}, {4,45}, {27,40}, {11,31}, {20,31}, {25,28}, {2,35}, {21,44}, {4,47}, {9,54}, {23,41}, {22,44}, {25,54}, {15,42}, {25,41}, {2,48}, {22,51}, {26,35}, {17,43}, {18,30}, {3,32}, {19,52}, {23,42}, {13,33}, {18,43}, {15,53}, {13,50}, {9,37}, {8,53}, {18,53}, {15,37}, {14,42}, {1,45}, {5,48}, {26,38}, {10,42}, {20,45}, {1,28}, {3,50}, {27,49}, {20,51}, {4,54}, {26,36}, {4,43}, {1,33}, {21,31}, {20,43}, {3,29}, {16,48}, {1,43}, {8,37}, {24,35}, {17,52}, {12,33}, {24,41}, {11,54}, {13,30}, {5,41}, {25,35}, {21,39}, {6,51}, {17,28}, {7,47}, {5,54}, {16,45}, {8,32}, {1,49}, {12,30}, {14,49}, {27,41}, {19,51}, {5,36}, {11,46}, {19,45}, {7,29}, {19,36}, {13,46}, {1,37}, {4,37}, {23,40}, {6,36}, {8,34}, {4,51}, {2,29}, {18,28}, {16,35}, {20,52}, {6,45}, {20,34}, {23,46}, {3,48}, {10,34}, {15,33}, {14,32}, {19,39}, {10,49}, {21,53}, {6,38}, {14,52}, {10,50}, {26,51}, {16,42}, {11,47}, {16,39}, {9,39}, {27,51}, {9,38}, {17,45}, {20,41}, {20,53}, {22,40}, {13,37}, {21,36}, {23,31}, {24,46}, {12,31}, {17,42}, {11,34}, {13,39}, {19,34}, {22,30}, {22,36}, {9,31}, {7,52}, {5,37}, {26,49}, {21,41}, {2,43}, {26,50}, {11,42}, {12,54}, {18,35}, {4,32}, {24,28}, {24,31}, {14,29}, {2,50}, {23,51} }; // ETB54.50 // Bipartite(27,27) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 864 EdgesBipt[54][49]:={ {6,48}, {11,53}, {16,41}, {17,50}, {13,32}, {9,28}, {6,32}, {18,39}, {17,36}, {2,46}, {11,35}, {21,40}, {3,40}, {17,38}, {17,47}, {10,37}, {4,30}, {14,51}, {21,32}, {12,32}, {25,38}, {27,47}, {3,43}, {23,28}, {17,34}, {14,38}, {9,44}, {12,39}, {8,52}, {9,49}, {21,42}, {5,47}, {18,54}, {3,37}, {13,35}, {15,48}, {14,31}, {26,33}, {7,34}, {15,47}, {7,51}, {15,54}, {24,36}, {23,43}, {27,44}, {17,46}, {13,29}, {16,29}, {11,50}, {2,42}, {23,52}, {16,30}, {19,28}, {11,38}, {11,33}, {21,46}, {1,38}, {2,34}, {27,54}, {26,28}, {14,36}, {9,32}, {24,37}, {12,36}, {1,44}, {4,41}, {8,41}, {27,29}, {2,52}, {12,44}, {14,30}, {8,45}, {17,51}, {7,39}, {2,39}, {10,54}, {24,39}, {2,53}, {7,43}, {11,31}, {10,28}, {1,51}, {6,43}, {9,54}, {10,29}, {27,31}, {24,32}, {13,49}, {22,51}, {3,32}, {19,52}, {4,35}, {15,41}, {23,35}, {18,44}, {15,50}, {13,33}, {8,36}, {25,48}, {18,43}, {15,53}, {16,32}, {6,50}, {24,45}, {20,44}, {13,44}, {11,30}, {9,37}, {12,47}, {17,49}, {8,53}, {18,53}, {15,37}, {5,49}, {14,42}, {1,45}, {10,42}, {19,31}, {1,28}, {27,52}, {24,34}, {23,47}, {3,50}, {23,38}, {25,45}, {10,46}, {26,36}, {1,33}, {10,45}, {20,43}, {3,29}, {16,48}, {22,29}, {4,46}, {21,33}, {5,28}, {21,38}, {10,51}, {18,31}, {5,42}, {25,37}, {24,41}, {25,40}, {25,35}, {7,47}, {20,29}, {23,53}, {5,31}, {8,40}, {22,33}, {12,40}, {22,54}, {27,41}, {19,51}, {5,36}, {25,49}, {6,54}, {25,42}, {9,30}, {13,46}, {20,48}, {19,49}, {20,37}, {4,37}, {4,40}, {5,33}, {4,51}, {16,35}, {6,45}, {20,34}, {22,49}, {23,46}, {8,50}, {19,39}, {14,52}, {16,42}, {20,36}, {12,52}, {6,34}, {22,48}, {14,43}, {18,45}, {6,52}, {12,48}, {9,38}, {26,39}, {20,53}, {22,40}, {1,41}, {19,50}, {1,48}, {26,46}, {3,31}, {15,39}, {18,40}, {7,33}, {26,43}, {11,34}, {19,35}, {3,47}, {7,35}, {2,30}, {13,45}, {22,30}, {27,34}, {21,41}, {26,50}, {16,28}, {7,42}, {4,44}, {8,29}, {24,31}, {5,53}, {2,49}, {21,54}, {26,30} }; // ETB54.51 // Bipartite(27,27) Valencies [9,9] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 46656 EdgesBipt[54][50]:={ {2,44}, {8,48}, {3,33}, {16,41}, {13,32}, {25,31}, {6,32}, {17,35}, {18,39}, {2,46}, {21,45}, {5,34}, {13,40}, {18,48}, {23,29}, {21,40}, {3,40}, {10,37}, {4,53}, {18,32}, {8,30}, {18,46}, {21,32}, {21,47}, {26,47}, {9,45}, {5,38}, {22,53}, {16,47}, {8,42}, {8,54}, {19,44}, {25,38}, {15,49}, {18,38}, {21,37}, {4,29}, {18,50}, {1,32}, {17,34}, {14,38}, {4,31}, {15,44}, {25,33}, {10,33}, {25,50}, {5,47}, {13,35}, {24,51}, {14,31}, {11,41}, {21,43}, {12,35}, {3,52}, {9,53}, {12,34}, {1,30}, {23,43}, {17,40}, {8,44}, {13,29}, {2,54}, {12,50}, {16,29}, {2,42}, {23,44}, {10,30}, {23,52}, {15,45}, {10,48}, {1,38}, {10,38}, {27,28}, {17,37}, {14,36}, {19,30}, {16,53}, {24,37}, {22,34}, {27,30}, {25,36}, {12,36}, {4,41}, {8,41}, {11,49}, {2,37}, {23,45}, {12,44}, {16,54}, {26,29}, {19,29}, {7,39}, {10,54}, {24,42}, {1,31}, {19,53}, {7,49}, {27,40}, {2,53}, {7,43}, {11,31}, {2,35}, {17,33}, {23,36}, {19,38}, {20,33}, {6,30}, {6,43}, {10,29}, {9,34}, {25,54}, {6,49}, {3,51}, {24,32}, {25,41}, {14,53}, {26,48}, {9,50}, {1,29}, {3,39}, {26,37}, {19,52}, {24,47}, {15,41}, {8,36}, {14,48}, {15,50}, {18,44}, {18,43}, {6,50}, {14,47}, {17,30}, {19,41}, {9,37}, {12,47}, {4,48}, {12,28}, {26,52}, {15,37}, {14,42}, {1,45}, {27,53}, {13,54}, {20,28}, {1,28}, {3,50}, {9,51}, {20,51}, {4,28}, {21,31}, {26,34}, {4,46}, {24,35}, {16,49}, {10,51}, {17,31}, {5,42}, {17,52}, {27,42}, {7,31}, {24,41}, {10,43}, {25,35}, {6,51}, {7,47}, {16,51}, {11,52}, {5,54}, {16,45}, {8,32}, {22,39}, {11,39}, {5,44}, {8,40}, {27,45}, {12,40}, {12,53}, {20,49}, {22,54}, {11,46}, {26,32}, {20,46}, {7,29}, {22,31}, {21,50}, {13,46}, {20,48}, {24,38}, {5,39}, {7,28}, {22,50}, {4,37}, {23,40}, {25,46}, {4,40}, {16,36}, {6,36}, {5,33}, {18,28}, {20,34}, {22,49}, {23,33}, {23,46}, {3,48}, {13,51}, {11,32}, {15,33}, {19,39}, {20,42}, {14,52}, {20,36}, {22,48}, {14,43}, {15,28}, {6,52}, {27,51}, {9,38}, {9,52}, {11,45}, {26,44}, {27,39}, {5,45}, {27,43}, {3,41}, {9,46}, {7,33}, {13,34}, {3,47}, {17,42}, {19,35}, {7,35}, {13,39}, {15,30}, {22,30}, {1,34}, {26,49}, {2,43}, {6,35}, {11,42}, {24,28}, {1,36}, {2,49}, {21,54} }; // ETB54.52 // Bipartite(27,27) Valencies [9,9] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 5832 EdgesBipt[54][51]:={ {16,41}, {13,52}, {25,31}, {6,32}, {11,36}, {17,36}, {12,29}, {13,40}, {18,48}, {16,33}, {12,51}, {17,38}, {10,37}, {17,47}, {4,53}, {4,50}, {25,39}, {14,51}, {2,51}, {27,47}, {15,31}, {21,37}, {4,29}, {8,33}, {20,40}, {7,54}, {17,34}, {14,38}, {8,52}, {15,44}, {25,50}, {5,47}, {21,35}, {25,29}, {18,54}, {19,47}, {26,33}, {19,48}, {12,35}, {14,50}, {24,44}, {3,52}, {13,47}, {1,30}, {8,44}, {17,46}, {13,29}, {12,50}, {10,53}, {11,28}, {14,54}, {16,43}, {18,37}, {10,30}, {2,45}, {23,52}, {20,38}, {11,38}, {3,46}, {11,33}, {6,31}, {6,40}, {21,46}, {1,38}, {2,34}, {9,48}, {9,47}, {14,36}, {15,32}, {19,30}, {12,46}, {24,43}, {12,49}, {2,37}, {10,52}, {23,45}, {12,44}, {7,46}, {22,35}, {4,42}, {22,41}, {9,41}, {2,39}, {7,32}, {10,54}, {1,31}, {10,41}, {16,52}, {19,53}, {4,45}, {7,49}, {27,40}, {7,43}, {25,28}, {2,35}, {3,44}, {25,34}, {4,33}, {25,54}, {15,42}, {24,32}, {9,42}, {14,53}, {22,51}, {26,48}, {9,50}, {1,29}, {7,30}, {26,37}, {3,32}, {19,52}, {4,35}, {23,37}, {23,42}, {24,47}, {8,36}, {18,44}, {16,32}, {13,43}, {20,44}, {5,30}, {17,30}, {6,46}, {15,35}, {9,37}, {12,47}, {4,48}, {8,53}, {5,49}, {18,53}, {15,34}, {27,53}, {26,38}, {27,36}, {13,28}, {10,42}, {19,31}, {1,28}, {24,34}, {3,50}, {14,37}, {25,45}, {27,49}, {4,43}, {1,33}, {20,43}, {22,29}, {21,33}, {5,28}, {16,49}, {18,31}, {27,42}, {10,43}, {6,51}, {20,29}, {16,51}, {22,39}, {11,39}, {5,44}, {1,49}, {8,40}, {20,39}, {20,49}, {14,49}, {22,54}, {27,41}, {17,29}, {19,51}, {5,36}, {6,54}, {19,45}, {1,53}, {27,32}, {6,41}, {21,50}, {13,46}, {24,38}, {5,39}, {7,28}, {19,32}, {23,49}, {23,40}, {14,45}, {8,34}, {18,28}, {23,33}, {23,46}, {3,48}, {10,34}, {11,32}, {13,48}, {15,33}, {24,53}, {13,41}, {2,47}, {20,42}, {6,38}, {2,40}, {11,40}, {26,51}, {6,34}, {25,52}, {22,48}, {27,35}, {3,42}, {16,39}, {9,39}, {9,38}, {17,45}, {11,45}, {11,48}, {26,44}, {7,45}, {1,41}, {21,36}, {23,31}, {26,46}, {3,54}, {15,39}, {21,34}, {18,40}, {8,51}, {12,31}, {26,43}, {17,42}, {7,35}, {16,50}, {20,54}, {15,30}, {22,30}, {22,36}, {9,31}, {5,37}, {21,41}, {2,43}, {21,28}, {3,36}, {18,35}, {8,29}, {5,52}, {24,50}, {24,28}, {26,30} }; // ETB54.53 // Bipartite(27,27) Valencies [9,9] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 21936950640377856 EdgesBipt[54][52]:={ {6,48}, {2,44}, {11,53}, {16,41}, {11,35}, {23,29}, {24,48}, {21,40}, {3,40}, {17,38}, {10,37}, {17,47}, {4,53}, {21,32}, {22,37}, {14,39}, {26,47}, {8,43}, {9,45}, {5,38}, {22,53}, {12,32}, {8,42}, {15,49}, {15,31}, {22,46}, {8,33}, {3,43}, {7,41}, {7,54}, {17,34}, {14,38}, {8,52}, {12,41}, {22,42}, {23,54}, {15,44}, {9,49}, {13,53}, {25,50}, {5,47}, {18,54}, {13,35}, {15,48}, {24,30}, {26,33}, {11,41}, {19,48}, {21,43}, {7,36}, {23,48}, {24,44}, {3,52}, {27,33}, {2,41}, {12,34}, {1,30}, {12,50}, {21,49}, {11,50}, {23,39}, {18,42}, {14,54}, {21,52}, {10,30}, {19,28}, {3,34}, {20,38}, {11,38}, {10,48}, {6,40}, {6,31}, {20,50}, {27,54}, {3,49}, {14,36}, {19,30}, {25,36}, {15,40}, {5,29}, {2,38}, {8,47}, {12,49}, {10,52}, {23,45}, {16,54}, {26,29}, {14,30}, {7,46}, {17,51}, {22,35}, {4,42}, {7,32}, {24,39}, {27,40}, {2,53}, {10,28}, {25,28}, {2,35}, {17,33}, {11,44}, {23,36}, {6,30}, {18,49}, {4,33}, {9,54}, {22,44}, {27,31}, {25,54}, {6,49}, {25,41}, {9,42}, {22,51}, {16,37}, {12,43}, {17,43}, {7,50}, {3,32}, {19,52}, {4,35}, {13,33}, {14,48}, {2,32}, {15,53}, {16,32}, {11,29}, {20,44}, {13,44}, {5,30}, {14,47}, {6,44}, {15,35}, {26,52}, {5,48}, {24,49}, {26,38}, {27,36}, {13,28}, {1,28}, {23,47}, {3,50}, {23,38}, {25,45}, {27,49}, {9,51}, {10,46}, {18,36}, {4,28}, {21,31}, {26,34}, {18,33}, {1,43}, {4,46}, {24,35}, {18,31}, {17,52}, {25,37}, {1,52}, {27,42}, {24,40}, {26,42}, {10,43}, {20,29}, {19,46}, {9,40}, {25,32}, {5,54}, {16,45}, {22,33}, {27,45}, {12,40}, {1,39}, {17,29}, {5,36}, {22,28}, {1,46}, {10,39}, {21,50}, {13,46}, {13,42}, {1,37}, {5,39}, {20,35}, {7,28}, {4,37}, {14,45}, {25,46}, {16,36}, {8,34}, {4,51}, {2,29}, {8,38}, {10,34}, {13,51}, {11,32}, {19,39}, {19,43}, {24,53}, {2,47}, {18,51}, {26,51}, {9,33}, {9,36}, {12,52}, {20,47}, {11,47}, {16,46}, {18,45}, {27,51}, {20,41}, {7,45}, {20,53}, {13,37}, {5,45}, {3,41}, {1,48}, {3,31}, {15,39}, {21,34}, {18,40}, {8,51}, {6,39}, {12,31}, {26,43}, {17,42}, {16,50}, {6,53}, {15,30}, {19,34}, {7,37}, {9,31}, {1,34}, {21,41}, {6,35}, {16,28}, {4,44}, {19,37}, {20,32}, {8,29}, {24,31}, {14,29}, {2,50}, {23,30} }; // ETB54.54 // Bipartite(27,27) Valencies [9,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13060694016 EdgesBipt[54][53]:={ {6,48}, {2,44}, {15,52}, {17,50}, {25,31}, {2,33}, {17,44}, {11,35}, {18,48}, {16,33}, {24,48}, {12,51}, {21,40}, {3,40}, {17,38}, {15,46}, {4,30}, {16,40}, {21,32}, {17,53}, {8,43}, {9,45}, {2,51}, {5,38}, {12,32}, {16,31}, {27,48}, {4,29}, {18,50}, {1,32}, {3,43}, {17,34}, {14,38}, {22,42}, {25,33}, {3,35}, {5,47}, {21,35}, {25,29}, {18,54}, {15,48}, {24,51}, {14,31}, {25,30}, {8,39}, {15,47}, {21,43}, {15,54}, {12,35}, {26,53}, {14,50}, {9,53}, {24,36}, {8,44}, {13,29}, {21,49}, {16,29}, {2,42}, {23,44}, {18,37}, {23,52}, {16,30}, {19,28}, {6,47}, {22,45}, {3,46}, {11,33}, {21,46}, {1,38}, {14,33}, {26,45}, {27,54}, {9,48}, {10,38}, {3,49}, {5,50}, {22,34}, {27,30}, {12,46}, {11,49}, {12,49}, {11,51}, {8,45}, {4,42}, {2,39}, {7,32}, {17,39}, {24,42}, {1,31}, {10,41}, {4,45}, {27,40}, {10,28}, {25,28}, {2,35}, {11,44}, {19,38}, {20,33}, {9,54}, {23,41}, {10,31}, {24,52}, {3,51}, {15,42}, {16,37}, {12,43}, {9,50}, {17,43}, {7,30}, {18,30}, {3,32}, {23,37}, {24,47}, {15,41}, {16,32}, {11,29}, {20,44}, {21,51}, {14,47}, {19,41}, {6,46}, {9,37}, {4,48}, {17,49}, {8,53}, {18,53}, {27,53}, {26,38}, {13,28}, {19,31}, {1,28}, {27,52}, {14,41}, {23,47}, {14,37}, {23,38}, {20,51}, {10,46}, {4,28}, {26,34}, {22,29}, {1,43}, {15,36}, {13,36}, {25,37}, {7,31}, {24,41}, {25,40}, {18,52}, {13,30}, {10,43}, {4,36}, {5,41}, {25,35}, {6,51}, {20,29}, {19,46}, {9,40}, {25,32}, {22,39}, {5,31}, {11,39}, {5,44}, {27,45}, {12,40}, {12,53}, {20,39}, {20,49}, {10,32}, {22,28}, {1,46}, {6,54}, {7,29}, {19,36}, {6,41}, {9,30}, {13,42}, {20,35}, {7,28}, {19,32}, {6,42}, {3,53}, {6,36}, {8,34}, {5,33}, {2,29}, {16,35}, {8,38}, {23,33}, {14,44}, {4,34}, {10,36}, {10,34}, {8,50}, {15,51}, {13,48}, {19,43}, {2,47}, {20,42}, {21,53}, {14,52}, {20,47}, {11,47}, {22,48}, {8,49}, {18,45}, {6,52}, {27,37}, {17,45}, {26,39}, {9,52}, {26,44}, {1,41}, {23,50}, {23,31}, {3,54}, {18,40}, {24,46}, {7,33}, {26,43}, {13,34}, {7,35}, {13,39}, {13,45}, {19,34}, {7,37}, {22,30}, {22,36}, {1,34}, {5,37}, {26,49}, {26,50}, {11,42}, {27,50}, {12,54}, {4,39}, {16,28}, {7,40}, {5,52}, {24,54}, {1,36}, {2,49}, {21,54} }; // ETB54.55 // Bipartite(9,45) Valencies [10,2] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 92876046336000000000 EdgesBipt[54][54]:={ {9,13}, {7,48}, {7,39}, {9,40}, {2,38}, {9,42}, {3,46}, {6,17}, {4,27}, {2,11}, {6,51}, {1,46}, {2,20}, {4,16}, {2,47}, {1,44}, {3,30}, {7,23}, {8,34}, {5,13}, {3,10}, {9,31}, {9,51}, {2,18}, {8,14}, {8,41}, {2,29}, {3,19}, {3,48}, {5,49}, {6,53}, {7,41}, {1,10}, {1,17}, {6,33}, {2,36}, {4,43}, {4,45}, {5,29}, {7,14}, {6,26}, {6,15}, {1,19}, {4,36}, {7,30}, {4,25}, {9,15}, {1,35}, {1,26}, {1,53}, {9,49}, {9,33}, {5,22}, {2,27}, {5,38}, {2,54}, {8,43}, {8,32}, {5,20}, {5,47}, {3,28}, {8,16}, {5,31}, {9,24}, {3,12}, {8,23}, {8,50}, {3,21}, {8,52}, {6,42}, {3,39}, {1,37}, {4,54}, {5,11}, {4,18}, {8,25}, {7,32}, {4,52}, {7,21}, {1,28}, {7,50}, {3,37}, {6,24}, {6,35}, {6,44}, {4,34}, {7,12}, {5,40}, {2,45}, {9,22} }; // ETB54.56 // Bipartite(24,30) Valencies [10,8] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6847565144260608000000 EdgesBipt[54][55]:={ {6,48}, {2,44}, {15,52}, {11,53}, {3,33}, {16,41}, {13,32}, {9,28}, {2,33}, {17,35}, {11,36}, {17,36}, {21,45}, {11,35}, {18,48}, {23,29}, {24,48}, {21,40}, {3,40}, {15,46}, {17,47}, {4,53}, {14,51}, {16,40}, {14,39}, {17,53}, {9,45}, {2,51}, {22,53}, {16,47}, {7,38}, {19,44}, {4,29}, {20,27}, {22,46}, {1,32}, {3,45}, {8,33}, {7,44}, {14,38}, {23,54}, {2,27}, {12,42}, {22,52}, {5,47}, {18,54}, {2,26}, {24,30}, {8,39}, {11,41}, {14,50}, {23,48}, {3,52}, {24,36}, {8,44}, {8,27}, {12,37}, {16,29}, {10,53}, {18,42}, {18,37}, {21,52}, {2,45}, {15,45}, {3,34}, {20,38}, {3,46}, {6,31}, {20,50}, {21,46}, {1,38}, {14,33}, {1,50}, {10,47}, {19,26}, {9,27}, {16,53}, {24,37}, {22,34}, {15,40}, {12,36}, {1,44}, {4,41}, {5,29}, {2,38}, {24,43}, {12,49}, {10,52}, {8,45}, {22,35}, {22,41}, {2,39}, {7,32}, {24,42}, {1,31}, {10,41}, {16,52}, {7,49}, {7,43}, {10,28}, {7,25}, {23,36}, {24,25}, {15,27}, {21,27}, {19,38}, {20,33}, {6,30}, {4,47}, {6,43}, {18,49}, {10,29}, {23,41}, {9,34}, {6,49}, {3,51}, {13,49}, {4,52}, {10,40}, {12,43}, {7,50}, {3,39}, {13,31}, {18,30}, {4,35}, {23,42}, {23,35}, {7,26}, {2,32}, {18,43}, {13,43}, {11,29}, {20,44}, {13,44}, {21,51}, {5,30}, {13,50}, {17,30}, {11,30}, {12,25}, {15,34}, {17,48}, {5,48}, {24,49}, {13,25}, {20,45}, {19,31}, {23,47}, {3,27}, {9,51}, {20,51}, {10,46}, {18,36}, {4,28}, {22,29}, {1,43}, {4,46}, {21,33}, {8,26}, {18,31}, {5,42}, {7,31}, {11,54}, {5,41}, {17,54}, {21,39}, {23,53}, {9,40}, {5,54}, {8,32}, {1,49}, {20,39}, {12,30}, {18,25}, {17,29}, {5,36}, {1,25}, {22,28}, {6,54}, {17,41}, {22,47}, {19,49}, {1,37}, {16,34}, {19,32}, {13,26}, {6,42}, {14,45}, {4,40}, {10,35}, {6,36}, {20,26}, {16,35}, {8,38}, {1,26}, {14,44}, {4,34}, {10,34}, {8,50}, {15,51}, {15,33}, {14,32}, {19,43}, {6,25}, {9,33}, {11,47}, {19,25}, {16,46}, {15,28}, {9,39}, {13,38}, {12,48}, {9,52}, {11,48}, {3,28}, {22,40}, {13,37}, {19,50}, {15,39}, {21,34}, {9,46}, {8,51}, {12,31}, {6,37}, {17,42}, {7,37}, {5,35}, {21,28}, {11,42}, {12,54}, {16,28}, {19,37}, {20,32}, {14,27}, {24,54}, {24,31}, {5,53}, {2,50}, {14,26}, {23,30} }; // ETB54.57 // Bipartite(24,30) Valencies [10,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 587068342272000000 EdgesBipt[54][56]:={ {2,44}, {8,48}, {3,33}, {18,39}, {12,29}, {2,46}, {5,34}, {21,48}, {18,29}, {4,30}, {11,25}, {8,30}, {16,40}, {21,47}, {7,48}, {8,42}, {8,54}, {15,49}, {15,31}, {3,45}, {3,43}, {3,25}, {7,54}, {10,26}, {17,34}, {14,38}, {12,41}, {10,33}, {21,42}, {13,53}, {21,35}, {3,37}, {13,35}, {2,26}, {22,32}, {19,48}, {12,35}, {7,36}, {14,50}, {15,43}, {10,44}, {13,47}, {9,53}, {2,28}, {12,34}, {18,41}, {23,43}, {17,40}, {14,28}, {9,35}, {20,30}, {8,44}, {17,46}, {13,29}, {11,50}, {23,44}, {15,25}, {6,29}, {15,45}, {16,30}, {23,32}, {6,47}, {5,40}, {20,38}, {22,45}, {11,38}, {20,50}, {2,34}, {9,48}, {9,47}, {19,54}, {10,38}, {9,29}, {3,49}, {19,30}, {2,38}, {12,46}, {11,49}, {2,52}, {16,54}, {14,40}, {17,51}, {4,42}, {9,41}, {17,39}, {1,31}, {16,52}, {7,49}, {7,43}, {11,31}, {7,25}, {22,27}, {17,33}, {11,44}, {15,27}, {23,26}, {9,54}, {22,44}, {24,52}, {3,51}, {9,42}, {13,49}, {4,52}, {22,51}, {1,29}, {7,30}, {3,39}, {13,31}, {23,37}, {24,47}, {8,36}, {6,33}, {2,32}, {19,42}, {13,43}, {20,44}, {12,47}, {4,48}, {17,27}, {5,46}, {12,28}, {15,37}, {18,53}, {23,25}, {13,25}, {19,31}, {18,27}, {24,34}, {3,27}, {18,47}, {23,38}, {4,54}, {4,28}, {10,45}, {18,33}, {16,48}, {1,43}, {4,46}, {5,28}, {24,35}, {8,26}, {10,51}, {17,52}, {7,31}, {24,40}, {24,41}, {4,36}, {6,51}, {17,28}, {8,32}, {22,39}, {6,27}, {1,49}, {22,33}, {12,40}, {12,53}, {21,29}, {14,34}, {10,32}, {21,30}, {1,25}, {5,51}, {1,53}, {19,36}, {6,41}, {9,30}, {10,39}, {1,35}, {20,48}, {19,49}, {1,37}, {16,34}, {5,39}, {22,50}, {23,49}, {11,26}, {22,26}, {4,40}, {16,36}, {5,33}, {20,26}, {11,37}, {10,27}, {8,38}, {6,45}, {4,34}, {14,44}, {8,50}, {15,51}, {11,32}, {14,32}, {15,33}, {19,43}, {24,53}, {13,41}, {20,42}, {21,53}, {1,47}, {2,40}, {10,50}, {14,52}, {18,51}, {12,52}, {9,36}, {16,42}, {20,36}, {5,27}, {19,25}, {16,46}, {18,45}, {17,45}, {24,29}, {1,41}, {13,37}, {5,45}, {23,50}, {21,36}, {23,31}, {3,31}, {15,39}, {24,46}, {6,39}, {14,46}, {11,43}, {6,53}, {20,54}, {7,37}, {21,41}, {6,35}, {16,28}, {18,35}, {7,42}, {19,37}, {20,32}, {5,52}, {24,28}, {2,50}, {21,54}, {22,38}, {14,26} }; // ETB54.58 // Bipartite(24,30) Valencies [10,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4508684868648960 EdgesBipt[54][57]:={ {11,53}, {3,33}, {17,50}, {13,32}, {9,28}, {17,35}, {18,39}, {4,27}, {12,29}, {11,35}, {13,40}, {21,48}, {18,29}, {12,51}, {17,38}, {12,45}, {15,46}, {10,37}, {4,30}, {16,27}, {14,51}, {22,37}, {17,53}, {5,38}, {2,51}, {16,47}, {8,42}, {15,31}, {20,27}, {1,32}, {3,43}, {20,40}, {1,40}, {14,38}, {9,44}, {12,39}, {22,42}, {23,54}, {15,44}, {2,27}, {22,52}, {18,54}, {9,43}, {13,35}, {15,48}, {19,47}, {24,51}, {2,26}, {24,30}, {7,34}, {22,32}, {21,43}, {15,43}, {23,48}, {24,44}, {8,25}, {2,41}, {13,47}, {24,36}, {12,34}, {8,27}, {11,50}, {2,42}, {18,34}, {23,39}, {16,43}, {10,30}, {6,29}, {23,52}, {16,30}, {15,29}, {2,25}, {20,38}, {22,45}, {11,38}, {3,46}, {11,33}, {21,46}, {2,36}, {9,48}, {1,50}, {9,29}, {19,40}, {10,47}, {17,37}, {14,36}, {5,50}, {9,26}, {12,36}, {8,41}, {2,38}, {12,49}, {10,52}, {12,44}, {7,46}, {14,40}, {4,42}, {9,41}, {7,32}, {17,39}, {15,26}, {24,39}, {1,31}, {16,52}, {4,45}, {7,49}, {2,53}, {7,25}, {10,28}, {22,27}, {17,33}, {21,44}, {3,44}, {6,30}, {4,47}, {18,49}, {21,26}, {6,49}, {13,49}, {14,53}, {4,52}, {16,37}, {7,50}, {13,31}, {18,30}, {23,37}, {15,41}, {23,35}, {8,36}, {18,44}, {16,32}, {24,45}, {13,50}, {6,44}, {8,53}, {14,42}, {17,48}, {5,48}, {24,49}, {13,25}, {10,42}, {19,31}, {24,34}, {14,41}, {23,38}, {20,51}, {18,36}, {4,28}, {4,43}, {21,31}, {10,45}, {3,29}, {3,26}, {22,43}, {21,33}, {8,26}, {17,52}, {7,31}, {11,54}, {10,43}, {17,54}, {6,51}, {7,47}, {19,46}, {23,53}, {11,52}, {5,54}, {16,45}, {11,39}, {1,49}, {8,40}, {12,30}, {21,29}, {10,32}, {20,25}, {1,25}, {22,28}, {1,46}, {6,54}, {22,47}, {13,46}, {1,35}, {19,49}, {14,25}, {5,39}, {19,32}, {4,37}, {6,36}, {5,33}, {20,26}, {11,37}, {10,27}, {8,38}, {6,45}, {23,33}, {3,48}, {15,33}, {20,42}, {1,47}, {2,40}, {18,51}, {9,33}, {16,42}, {20,36}, {6,34}, {19,25}, {18,45}, {15,28}, {24,29}, {11,48}, {3,28}, {20,41}, {20,53}, {19,50}, {23,50}, {3,41}, {3,31}, {9,46}, {8,51}, {6,39}, {13,34}, {19,35}, {7,35}, {19,34}, {5,35}, {22,30}, {9,31}, {1,34}, {5,37}, {21,41}, {21,28}, {12,54}, {16,28}, {7,40}, {14,27}, {5,52}, {4,32}, {24,54}, {5,53}, {14,26} }; // ETB54.59 // Bipartite(24,30) Valencies [10,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16106127360 EdgesBipt[54][58]:={ {8,48}, {11,53}, {16,41}, {6,32}, {17,44}, {18,39}, {2,46}, {21,45}, {5,34}, {13,40}, {16,26}, {4,26}, {24,48}, {23,27}, {15,46}, {17,47}, {4,53}, {18,32}, {4,30}, {7,48}, {9,45}, {16,47}, {15,31}, {21,37}, {3,45}, {8,33}, {23,28}, {12,38}, {1,40}, {17,34}, {9,44}, {12,39}, {22,42}, {2,27}, {5,47}, {21,35}, {18,54}, {14,31}, {19,48}, {7,51}, {15,54}, {12,35}, {7,36}, {10,44}, {23,43}, {5,32}, {9,35}, {8,44}, {8,31}, {12,37}, {12,50}, {2,42}, {11,28}, {21,52}, {2,45}, {23,52}, {15,45}, {16,30}, {23,32}, {4,38}, {19,33}, {6,47}, {2,25}, {11,38}, {3,46}, {6,40}, {9,29}, {19,40}, {9,26}, {16,53}, {24,37}, {22,34}, {5,29}, {4,41}, {8,41}, {2,37}, {2,52}, {14,30}, {14,40}, {22,35}, {9,41}, {17,39}, {24,39}, {1,31}, {4,45}, {7,25}, {10,28}, {20,31}, {22,27}, {17,33}, {21,44}, {20,33}, {4,47}, {6,43}, {10,29}, {21,26}, {22,44}, {24,52}, {3,51}, {13,49}, {9,50}, {7,50}, {3,39}, {13,31}, {23,37}, {23,42}, {8,36}, {19,42}, {15,53}, {18,43}, {16,32}, {13,43}, {20,44}, {9,37}, {17,49}, {5,49}, {14,42}, {17,48}, {5,48}, {13,25}, {13,28}, {10,42}, {1,28}, {23,47}, {14,37}, {18,47}, {23,38}, {20,51}, {18,36}, {22,29}, {1,43}, {16,38}, {22,43}, {15,36}, {24,35}, {8,26}, {16,49}, {12,33}, {10,43}, {17,54}, {6,51}, {20,29}, {23,53}, {11,52}, {5,54}, {16,45}, {1,49}, {5,44}, {12,53}, {21,29}, {18,25}, {21,30}, {17,29}, {19,51}, {1,25}, {22,28}, {1,46}, {6,54}, {20,46}, {19,36}, {6,28}, {9,30}, {21,50}, {13,46}, {20,48}, {24,38}, {16,34}, {14,25}, {5,39}, {22,50}, {13,26}, {3,53}, {14,45}, {10,35}, {6,36}, {3,30}, {5,33}, {20,26}, {11,37}, {11,27}, {18,28}, {10,27}, {1,26}, {22,49}, {4,34}, {10,34}, {15,51}, {11,32}, {24,53}, {13,41}, {10,49}, {6,25}, {4,49}, {2,40}, {2,31}, {10,50}, {14,52}, {18,51}, {12,52}, {20,36}, {11,47}, {15,38}, {19,25}, {12,48}, {3,38}, {9,52}, {7,27}, {20,41}, {8,46}, {1,41}, {19,50}, {3,54}, {15,39}, {3,31}, {18,40}, {8,51}, {6,39}, {14,46}, {7,33}, {13,34}, {19,35}, {7,35}, {11,43}, {2,30}, {15,30}, {1,34}, {21,41}, {24,33}, {17,32}, {11,42}, {3,36}, {12,54}, {7,40}, {7,42}, {14,27}, {8,29}, {4,32}, {19,27}, {24,50}, {24,54} }; // ETB54.60 // Bipartite(24,30) Valencies [10,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 983040 EdgesBipt[54][59]:={ {19,28}, {11,40}, {15,38}, {6,25}, {23,29}, {5,38}, {19,26}, {11,25}, {4,28}, {23,53}, {8,51}, {5,45}, {8,26}, {13,39}, {15,44}, {15,54}, {17,33}, {21,30}, {15,27}, {24,32}, {24,36}, {11,53}, {2,49}, {6,48}, {19,37}, {20,37}, {16,28}, {5,32}, {1,35}, {4,40}, {2,46}, {13,27}, {2,33}, {6,32}, {11,29}, {10,42}, {6,29}, {10,47}, {20,38}, {2,34}, {20,26}, {2,25}, {4,43}, {18,32}, {1,52}, {15,32}, {9,33}, {7,45}, {8,37}, {13,30}, {12,42}, {22,42}, {12,40}, {13,47}, {5,37}, {24,45}, {20,35}, {16,43}, {10,35}, {6,44}, {8,38}, {17,47}, {5,50}, {13,41}, {20,36}, {16,40}, {18,29}, {9,29}, {11,51}, {3,38}, {15,28}, {14,46}, {2,39}, {9,46}, {24,40}, {1,39}, {7,37}, {7,53}, {2,30}, {14,34}, {3,36}, {19,49}, {8,48}, {22,49}, {1,30}, {8,50}, {23,40}, {24,53}, {1,47}, {14,33}, {20,51}, {10,38}, {17,51}, {14,39}, {21,31}, {11,48}, {4,41}, {17,31}, {1,41}, {18,54}, {3,44}, {23,48}, {11,34}, {21,42}, {7,35}, {19,45}, {11,46}, {6,30}, {10,31}, {9,31}, {18,25}, {23,51}, {22,31}, {13,50}, {9,30}, {3,32}, {18,44}, {22,45}, {16,41}, {7,28}, {8,34}, {12,45}, {17,38}, {12,29}, {6,31}, {9,52}, {16,26}, {15,40}, {3,42}, {10,52}, {14,37}, {10,54}, {19,53}, {18,31}, {7,49}, {24,43}, {7,39}, {23,34}, {9,44}, {1,54}, {22,52}, {24,29}, {24,51}, {10,28}, {5,31}, {17,25}, {20,48}, {16,44}, {4,44}, {21,49}, {12,43}, {17,50}, {18,41}, {18,30}, {14,47}, {21,52}, {22,38}, {8,36}, {8,27}, {21,46}, {3,48}, {20,50}, {19,39}, {4,27}, {19,43}, {16,46}, {4,46}, {21,33}, {3,54}, {12,36}, {16,27}, {2,53}, {2,37}, {12,53}, {14,30}, {3,28}, {12,33}, {5,47}, {20,27}, {6,54}, {14,49}, {21,44}, {15,48}, {19,35}, {5,51}, {13,34}, {11,41}, {15,42}, {1,34}, {13,35}, {21,43}, {6,41}, {21,29}, {19,36}, {23,46}, {14,25}, {13,54}, {20,34}, {7,26}, {1,50}, {2,47}, {3,40}, {8,35}, {10,45}, {17,45}, {18,50}, {4,26}, {17,37}, {16,39}, {23,25}, {16,52}, {3,27}, {12,32}, {15,36}, {22,35}, {9,49}, {7,43}, {24,42}, {1,27}, {22,54}, {5,25}, {4,52}, {9,43}, {22,47}, {14,53}, {23,41}, {9,42}, {24,33}, {4,39}, {7,36}, {17,32}, {23,26}, {13,52}, {6,50}, {22,28}, {18,48}, {12,51}, {11,26}, {5,33}, {10,49} }; // ETB54.61 // Bipartite(27,27) Valencies [10,10] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 103680 EdgesBipt[54][60]:={ {15,33}, {11,40}, {15,38}, {27,48}, {9,32}, {16,51}, {25,37}, {23,53}, {13,37}, {1,40}, {13,39}, {26,49}, {15,44}, {8,40}, {3,35}, {24,32}, {27,33}, {24,36}, {11,53}, {21,54}, {14,45}, {6,48}, {16,37}, {21,28}, {5,32}, {4,51}, {7,30}, {4,37}, {4,40}, {23,44}, {10,48}, {14,44}, {2,33}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {10,42}, {12,28}, {21,40}, {16,48}, {23,38}, {16,49}, {9,33}, {20,43}, {7,45}, {27,28}, {5,41}, {8,52}, {21,38}, {7,41}, {23,54}, {12,42}, {6,39}, {12,31}, {3,52}, {13,47}, {2,48}, {24,50}, {24,47}, {26,35}, {23,43}, {19,42}, {16,34}, {13,51}, {10,35}, {18,39}, {5,50}, {2,29}, {2,36}, {20,36}, {20,42}, {10,51}, {27,30}, {6,34}, {1,43}, {9,29}, {18,33}, {22,43}, {19,46}, {24,41}, {20,41}, {2,39}, {9,46}, {26,42}, {3,47}, {27,40}, {19,38}, {1,31}, {19,47}, {3,51}, {13,49}, {2,30}, {5,53}, {11,42}, {14,34}, {25,29}, {8,48}, {26,41}, {23,40}, {6,36}, {22,48}, {10,36}, {2,51}, {15,37}, {15,34}, {14,39}, {9,38}, {27,37}, {8,45}, {17,31}, {1,41}, {12,41}, {20,54}, {24,39}, {25,49}, {25,30}, {11,46}, {27,34}, {12,30}, {6,30}, {7,50}, {9,31}, {10,29}, {15,52}, {17,46}, {25,46}, {13,50}, {24,38}, {8,53}, {18,44}, {22,45}, {6,45}, {25,31}, {17,44}, {8,34}, {14,52}, {10,30}, {20,47}, {23,47}, {16,30}, {12,29}, {26,31}, {11,32}, {17,52}, {21,32}, {11,54}, {15,40}, {19,50}, {3,42}, {14,43}, {27,35}, {1,44}, {13,38}, {10,54}, {18,31}, {24,43}, {7,49}, {16,45}, {7,39}, {15,39}, {4,29}, {9,44}, {1,32}, {22,52}, {25,50}, {19,29}, {6,43}, {22,39}, {10,28}, {5,31}, {26,53}, {12,50}, {20,32}, {25,42}, {3,53}, {18,41}, {26,30}, {18,30}, {14,47}, {22,38}, {13,44}, {23,52}, {5,46}, {23,32}, {4,46}, {8,43}, {20,28}, {21,33}, {1,33}, {20,53}, {3,54}, {12,36}, {3,45}, {26,28}, {7,47}, {2,37}, {12,33}, {5,47}, {17,34}, {18,49}, {27,29}, {7,51}, {14,49}, {11,31}, {15,48}, {1,53}, {9,50}, {22,51}, {1,34}, {21,43}, {7,42}, {2,50}, {6,41}, {21,29}, {24,44}, {17,40}, {19,36}, {6,28}, {21,48}, {4,35}, {19,32}, {23,46}, {5,49}, {20,45}, {11,28}, {16,35}, {17,53}, {8,35}, {10,45}, {8,54}, {18,50}, {14,41}, {17,37}, {16,39}, {1,28}, {26,34}, {16,52}, {5,42}, {2,38}, {12,32}, {25,35}, {21,36}, {8,28}, {9,40}, {19,51}, {5,44}, {22,54}, {4,52}, {22,36}, {22,47}, {14,53}, {27,31}, {24,33}, {15,43}, {13,46}, {7,36}, {13,52}, {4,48}, {26,45}, {6,33}, {18,34}, {17,49}, {3,46}, {19,54}, {18,37}, {4,54}, {25,51}, {9,37} }; // ETB54.62 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 10368 EdgesBipt[54][61]:={ {2,24}, {11,20}, {13,52}, {9,28}, {17,35}, {17,44}, {11,36}, {17,36}, {4,27}, {2,46}, {11,35}, {5,34}, {18,48}, {4,24}, {14,19}, {4,26}, {12,45}, {15,46}, {16,27}, {18,46}, {14,39}, {17,53}, {9,45}, {5,38}, {8,42}, {16,31}, {18,50}, {8,33}, {3,43}, {7,41}, {7,54}, {4,19}, {14,38}, {16,19}, {4,31}, {15,44}, {10,33}, {12,42}, {1,19}, {3,35}, {13,53}, {18,54}, {11,41}, {1,21}, {15,47}, {17,21}, {3,52}, {8,25}, {9,53}, {5,32}, {16,23}, {8,44}, {4,23}, {12,37}, {16,29}, {18,42}, {11,28}, {2,45}, {15,45}, {15,29}, {6,47}, {6,21}, {3,34}, {6,40}, {1,38}, {14,33}, {2,36}, {9,48}, {1,50}, {4,22}, {10,38}, {9,29}, {3,49}, {8,19}, {10,47}, {7,20}, {17,37}, {14,21}, {5,29}, {8,47}, {2,37}, {12,44}, {14,30}, {14,40}, {7,39}, {4,42}, {5,25}, {2,39}, {7,32}, {17,39}, {10,54}, {1,31}, {11,22}, {7,49}, {4,45}, {7,43}, {11,31}, {14,24}, {1,51}, {3,44}, {10,29}, {15,42}, {2,20}, {13,49}, {10,40}, {9,50}, {12,43}, {7,30}, {13,31}, {11,21}, {2,32}, {6,33}, {18,43}, {16,32}, {11,23}, {6,50}, {13,43}, {5,30}, {13,50}, {17,30}, {6,46}, {15,35}, {9,37}, {4,48}, {12,25}, {5,49}, {15,37}, {15,34}, {13,54}, {18,24}, {8,35}, {13,28}, {18,26}, {1,28}, {3,27}, {18,47}, {9,51}, {10,46}, {4,43}, {1,33}, {18,33}, {16,38}, {15,36}, {8,26}, {10,51}, {16,49}, {17,52}, {12,26}, {16,22}, {9,22}, {17,28}, {16,51}, {8,21}, {17,25}, {11,39}, {5,44}, {12,53}, {12,30}, {3,23}, {8,23}, {10,32}, {1,25}, {6,54}, {5,51}, {1,53}, {17,41}, {6,41}, {6,28}, {13,27}, {14,20}, {16,34}, {14,25}, {6,36}, {8,34}, {2,29}, {11,27}, {8,38}, {1,26}, {2,22}, {10,34}, {15,22}, {13,51}, {13,48}, {14,32}, {16,20}, {13,41}, {10,49}, {2,40}, {10,50}, {12,52}, {9,36}, {18,45}, {3,42}, {12,48}, {11,19}, {4,20}, {12,24}, {7,27}, {15,23}, {3,41}, {1,48}, {7,24}, {3,54}, {18,40}, {9,46}, {6,39}, {3,47}, {2,30}, {9,31}, {7,52}, {5,37}, {6,35}, {7,40}, {5,52}, {5,53}, {14,26} }; // ETB54.63 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[54][62]:={ {17,50}, {1,20}, {2,33}, {6,32}, {17,44}, {4,27}, {12,29}, {11,35}, {13,40}, {14,19}, {15,24}, {18,29}, {4,26}, {3,40}, {17,38}, {4,50}, {16,27}, {18,46}, {7,48}, {8,43}, {9,45}, {5,38}, {8,54}, {15,31}, {10,23}, {12,38}, {1,40}, {9,44}, {14,38}, {12,39}, {4,31}, {12,41}, {10,33}, {2,27}, {1,19}, {13,53}, {9,43}, {3,37}, {2,26}, {14,31}, {15,47}, {16,25}, {14,50}, {15,43}, {18,21}, {2,41}, {1,30}, {18,41}, {8,44}, {12,50}, {14,54}, {6,29}, {2,45}, {16,30}, {15,29}, {6,47}, {3,34}, {10,48}, {1,38}, {14,33}, {2,36}, {4,22}, {8,19}, {10,47}, {7,20}, {17,37}, {5,50}, {12,20}, {11,49}, {10,52}, {5,43}, {11,51}, {8,45}, {4,42}, {9,41}, {5,25}, {15,26}, {16,52}, {11,22}, {4,45}, {7,25}, {10,28}, {14,24}, {3,44}, {4,21}, {3,20}, {13,22}, {6,49}, {15,19}, {2,48}, {4,52}, {10,40}, {7,50}, {3,39}, {7,53}, {8,36}, {6,33}, {2,32}, {7,26}, {14,48}, {18,43}, {16,32}, {11,23}, {1,23}, {6,44}, {17,30}, {15,35}, {5,24}, {9,37}, {4,48}, {17,27}, {17,49}, {5,46}, {12,25}, {18,53}, {8,22}, {15,34}, {17,48}, {8,35}, {10,42}, {13,28}, {1,28}, {14,37}, {18,47}, {10,46}, {4,43}, {8,37}, {5,28}, {13,36}, {5,42}, {17,52}, {12,26}, {16,22}, {11,54}, {17,54}, {7,47}, {8,32}, {3,19}, {1,24}, {5,31}, {17,25}, {12,53}, {12,30}, {3,23}, {14,34}, {14,49}, {1,25}, {1,46}, {11,46}, {16,44}, {6,54}, {5,51}, {7,29}, {6,41}, {18,23}, {9,30}, {1,35}, {13,46}, {13,42}, {1,37}, {15,21}, {7,28}, {3,53}, {16,36}, {6,36}, {2,21}, {3,30}, {4,51}, {2,29}, {11,27}, {10,27}, {2,22}, {10,34}, {13,51}, {11,32}, {15,33}, {16,20}, {8,24}, {10,49}, {13,41}, {18,51}, {9,36}, {16,42}, {6,34}, {18,45}, {16,39}, {9,39}, {9,38}, {11,19}, {15,23}, {3,54}, {9,24}, {18,40}, {8,51}, {6,39}, {7,33}, {12,31}, {11,34}, {3,47}, {13,39}, {6,53}, {13,45}, {13,20}, {5,35}, {9,31}, {7,52}, {17,32}, {11,42}, {9,21}, {16,28}, {18,35}, {7,40}, {5,52}, {12,21}, {2,49}, {14,26} }; // ETB54.64 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[54][63]:={ {6,48}, {8,48}, {2,44}, {11,53}, {15,52}, {1,20}, {11,20}, {13,32}, {17,44}, {17,36}, {2,46}, {13,21}, {11,35}, {16,33}, {4,26}, {3,22}, {12,51}, {4,30}, {16,27}, {14,39}, {17,53}, {2,23}, {8,43}, {5,38}, {12,32}, {8,42}, {8,28}, {15,49}, {15,31}, {1,32}, {1,27}, {3,43}, {3,25}, {7,41}, {17,20}, {17,34}, {9,44}, {4,31}, {15,44}, {10,33}, {5,20}, {15,48}, {14,31}, {16,25}, {14,50}, {3,52}, {8,25}, {2,41}, {13,47}, {12,34}, {18,41}, {16,23}, {17,40}, {17,46}, {8,31}, {13,29}, {12,37}, {11,50}, {16,29}, {10,22}, {14,54}, {18,37}, {6,29}, {6,47}, {1,38}, {2,36}, {9,48}, {10,47}, {7,20}, {5,50}, {9,27}, {12,36}, {4,41}, {12,46}, {5,43}, {12,44}, {14,30}, {14,40}, {7,39}, {4,42}, {5,25}, {17,39}, {10,54}, {10,41}, {11,22}, {7,49}, {4,45}, {2,35}, {1,22}, {6,30}, {4,33}, {4,21}, {10,29}, {3,51}, {15,19}, {15,42}, {9,42}, {14,53}, {2,48}, {12,43}, {3,39}, {7,53}, {3,32}, {11,21}, {4,35}, {9,25}, {8,36}, {6,33}, {7,26}, {14,48}, {15,50}, {18,43}, {16,32}, {11,23}, {13,43}, {6,46}, {9,37}, {12,28}, {5,49}, {18,24}, {15,20}, {18,26}, {1,28}, {18,27}, {3,50}, {3,27}, {18,47}, {9,51}, {10,45}, {18,33}, {6,23}, {16,38}, {5,28}, {15,36}, {1,52}, {11,54}, {17,54}, {12,27}, {16,51}, {9,40}, {11,52}, {5,54}, {8,32}, {16,45}, {3,19}, {1,24}, {13,24}, {1,49}, {6,26}, {8,40}, {12,30}, {14,34}, {1,39}, {14,49}, {18,25}, {17,19}, {5,51}, {7,29}, {18,23}, {9,30}, {10,39}, {1,37}, {16,21}, {13,26}, {6,42}, {11,26}, {3,53}, {4,40}, {10,35}, {7,23}, {6,36}, {2,21}, {8,34}, {3,24}, {2,29}, {16,35}, {18,28}, {6,45}, {8,38}, {4,34}, {15,22}, {13,51}, {8,24}, {13,41}, {10,49}, {2,47}, {2,40}, {2,31}, {10,50}, {14,52}, {6,34}, {11,47}, {13,38}, {9,38}, {10,19}, {11,45}, {13,37}, {9,24}, {9,46}, {14,46}, {7,33}, {12,31}, {17,42}, {5,19}, {17,22}, {13,45}, {15,30}, {1,54}, {7,52}, {5,37}, {7,19}, {16,28}, {18,35}, {4,44}, {7,21}, {5,53} }; // ETB54.65 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[54][64]:={ {6,48}, {2,44}, {3,33}, {10,24}, {9,28}, {13,32}, {2,33}, {4,27}, {13,21}, {11,35}, {18,48}, {4,24}, {14,19}, {16,26}, {3,22}, {12,45}, {18,32}, {11,25}, {8,30}, {14,51}, {16,40}, {8,43}, {12,22}, {8,28}, {4,29}, {8,33}, {1,27}, {3,43}, {10,23}, {12,38}, {10,26}, {17,20}, {14,38}, {4,31}, {15,44}, {2,27}, {12,42}, {3,35}, {13,53}, {9,43}, {3,37}, {13,35}, {8,39}, {7,34}, {11,41}, {1,21}, {17,24}, {7,36}, {10,44}, {2,41}, {9,53}, {16,23}, {14,28}, {4,23}, {17,46}, {8,27}, {12,37}, {2,54}, {2,42}, {18,34}, {10,22}, {14,54}, {16,30}, {6,47}, {11,38}, {10,48}, {6,31}, {1,38}, {2,36}, {1,50}, {8,19}, {9,29}, {7,20}, {9,32}, {5,50}, {15,32}, {9,27}, {16,53}, {15,40}, {5,29}, {8,47}, {11,49}, {12,49}, {2,37}, {10,52}, {12,44}, {14,40}, {17,51}, {7,39}, {5,25}, {7,32}, {10,54}, {10,41}, {16,52}, {4,45}, {1,22}, {3,44}, {4,47}, {6,43}, {9,34}, {6,49}, {4,52}, {9,50}, {1,29}, {7,50}, {7,30}, {3,39}, {11,21}, {15,41}, {8,36}, {6,33}, {15,53}, {11,23}, {6,50}, {13,44}, {17,30}, {6,46}, {15,35}, {5,24}, {4,48}, {17,49}, {5,46}, {8,53}, {12,25}, {15,37}, {18,53}, {14,42}, {17,48}, {13,54}, {18,24}, {13,28}, {10,42}, {15,20}, {9,20}, {18,26}, {14,41}, {14,37}, {9,51}, {10,46}, {4,43}, {3,29}, {6,23}, {1,43}, {16,49}, {17,52}, {12,26}, {7,31}, {11,54}, {13,30}, {4,36}, {7,47}, {17,28}, {16,45}, {1,42}, {14,22}, {11,24}, {17,25}, {6,26}, {8,40}, {14,34}, {18,19}, {1,39}, {18,25}, {5,36}, {17,19}, {11,46}, {7,29}, {18,23}, {1,35}, {13,42}, {14,20}, {15,21}, {16,34}, {5,39}, {10,35}, {13,19}, {2,21}, {5,33}, {11,37}, {15,22}, {15,51}, {16,20}, {2,47}, {6,25}, {1,47}, {4,49}, {2,31}, {18,51}, {9,33}, {12,52}, {5,27}, {5,26}, {16,46}, {18,45}, {13,38}, {12,48}, {3,38}, {11,45}, {1,41}, {5,45}, {3,54}, {3,31}, {18,40}, {8,51}, {6,39}, {13,34}, {15,30}, {9,31}, {7,19}, {17,32}, {3,36}, {16,28}, {7,40}, {5,52}, {12,21}, {2,50} }; // ETB54.66 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 15552 EdgesBipt[54][65]:={ {6,48}, {16,41}, {10,25}, {2,24}, {10,24}, {9,28}, {2,33}, {17,44}, {11,36}, {17,36}, {12,29}, {5,34}, {13,40}, {15,24}, {16,26}, {4,26}, {3,40}, {12,45}, {15,46}, {17,47}, {4,53}, {16,27}, {8,30}, {8,43}, {9,45}, {7,38}, {8,54}, {18,38}, {1,32}, {12,38}, {7,41}, {17,34}, {9,44}, {12,41}, {10,33}, {12,42}, {3,35}, {13,53}, {9,43}, {15,48}, {2,26}, {14,31}, {11,41}, {12,35}, {7,36}, {15,43}, {17,21}, {3,52}, {2,41}, {17,40}, {9,35}, {8,44}, {13,29}, {12,37}, {2,54}, {11,50}, {10,22}, {6,22}, {18,37}, {6,29}, {16,30}, {4,38}, {6,21}, {2,25}, {11,33}, {1,38}, {2,34}, {1,50}, {5,22}, {8,19}, {3,49}, {10,47}, {9,32}, {14,21}, {14,36}, {15,32}, {9,27}, {8,47}, {2,37}, {10,52}, {16,54}, {7,46}, {8,45}, {17,51}, {7,39}, {10,54}, {17,23}, {1,31}, {4,45}, {10,28}, {14,24}, {1,22}, {6,30}, {18,49}, {5,23}, {3,20}, {3,51}, {14,53}, {2,48}, {4,52}, {7,30}, {13,31}, {11,21}, {2,32}, {15,50}, {18,44}, {16,32}, {1,23}, {13,44}, {13,50}, {17,30}, {15,35}, {12,47}, {4,48}, {5,46}, {13,23}, {12,28}, {12,25}, {15,37}, {13,54}, {9,20}, {18,26}, {18,27}, {3,50}, {4,43}, {1,33}, {18,33}, {6,23}, {8,37}, {5,28}, {16,49}, {5,42}, {18,52}, {10,43}, {4,36}, {17,28}, {16,51}, {11,52}, {5,54}, {16,45}, {1,42}, {14,22}, {17,25}, {1,49}, {6,26}, {12,53}, {14,34}, {18,19}, {1,39}, {14,49}, {3,21}, {6,19}, {11,46}, {5,51}, {7,29}, {18,23}, {10,39}, {13,46}, {7,28}, {6,42}, {3,53}, {8,34}, {4,51}, {3,24}, {8,50}, {15,22}, {15,51}, {13,48}, {16,20}, {6,25}, {1,47}, {2,40}, {2,31}, {9,33}, {16,42}, {5,27}, {14,43}, {15,38}, {8,49}, {16,39}, {11,19}, {10,19}, {4,25}, {11,45}, {11,48}, {7,27}, {3,41}, {7,24}, {18,40}, {9,46}, {10,20}, {12,31}, {11,34}, {3,47}, {6,20}, {13,39}, {15,30}, {13,20}, {9,31}, {5,37}, {7,19}, {6,35}, {17,32}, {11,42}, {9,21}, {4,39}, {18,35}, {7,40}, {4,44}, {14,27}, {8,29}, {5,52}, {1,36}, {5,53}, {14,29}, {14,26} }; // ETB54.67 // Bipartite(18,36) Valencies [12,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 77998046721343488000000 EdgesBipt[54][66]:={ {6,48}, {2,44}, {11,53}, {15,52}, {3,33}, {16,41}, {1,20}, {9,28}, {13,32}, {2,33}, {17,35}, {11,36}, {17,36}, {11,35}, {18,48}, {3,22}, {3,40}, {15,46}, {17,47}, {4,53}, {14,51}, {16,40}, {14,39}, {17,53}, {9,45}, {2,51}, {16,47}, {7,38}, {4,29}, {1,32}, {3,45}, {8,33}, {10,23}, {7,44}, {14,38}, {1,19}, {12,42}, {2,27}, {5,47}, {18,54}, {2,26}, {8,39}, {11,41}, {17,24}, {14,50}, {3,52}, {16,23}, {8,44}, {4,23}, {8,27}, {12,37}, {16,29}, {10,22}, {10,53}, {18,42}, {18,37}, {2,45}, {15,45}, {3,34}, {3,46}, {6,31}, {1,38}, {14,33}, {1,50}, {4,22}, {10,47}, {7,20}, {14,21}, {9,27}, {16,53}, {12,36}, {15,40}, {1,44}, {4,41}, {5,29}, {2,38}, {12,49}, {10,52}, {8,45}, {2,39}, {7,32}, {17,23}, {1,31}, {10,41}, {16,52}, {7,49}, {7,43}, {10,28}, {7,25}, {15,27}, {6,30}, {4,47}, {6,43}, {18,49}, {5,23}, {10,29}, {9,34}, {6,49}, {3,51}, {2,20}, {13,49}, {4,52}, {10,40}, {12,43}, {7,50}, {3,39}, {13,31}, {18,30}, {4,35}, {7,26}, {2,32}, {18,43}, {11,23}, {13,43}, {11,29}, {6,24}, {13,44}, {5,30}, {13,50}, {17,30}, {11,30}, {5,24}, {12,25}, {15,34}, {17,48}, {5,48}, {13,25}, {18,24}, {3,27}, {9,51}, {10,46}, {18,36}, {4,28}, {1,43}, {4,46}, {8,26}, {18,31}, {5,42}, {16,22}, {9,22}, {7,31}, {11,54}, {5,41}, {17,54}, {9,40}, {5,54}, {8,32}, {8,21}, {11,24}, {1,49}, {12,19}, {12,30}, {18,19}, {18,25}, {17,29}, {5,36}, {3,21}, {1,25}, {6,19}, {6,54}, {17,41}, {1,37}, {14,20}, {15,21}, {16,34}, {6,42}, {13,26}, {14,45}, {4,40}, {10,35}, {13,19}, {6,36}, {2,21}, {16,35}, {8,38}, {1,26}, {4,34}, {14,44}, {10,34}, {8,50}, {15,22}, {15,51}, {14,32}, {15,33}, {6,25}, {9,33}, {11,47}, {16,46}, {15,28}, {9,39}, {13,38}, {12,48}, {9,52}, {11,48}, {12,24}, {8,20}, {3,28}, {13,37}, {15,39}, {9,46}, {8,51}, {12,31}, {6,37}, {17,42}, {7,37}, {13,20}, {5,35}, {7,19}, {11,42}, {9,21}, {12,54}, {16,28}, {14,27}, {5,53}, {2,50}, {14,26} }; // ETB54.68 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5135673858195456000000 EdgesBipt[54][67]:={ {6,48}, {16,41}, {17,50}, {10,25}, {2,24}, {13,52}, {17,44}, {11,36}, {4,27}, {13,21}, {5,34}, {13,40}, {15,24}, {18,29}, {17,38}, {10,37}, {18,32}, {11,25}, {7,48}, {12,32}, {16,47}, {18,38}, {18,50}, {8,33}, {3,43}, {3,25}, {12,38}, {7,41}, {1,40}, {7,54}, {17,20}, {9,44}, {2,19}, {1,19}, {5,47}, {3,37}, {15,48}, {8,39}, {15,54}, {7,36}, {17,21}, {9,53}, {18,41}, {16,23}, {9,35}, {14,28}, {8,44}, {8,27}, {12,37}, {2,54}, {12,50}, {16,29}, {2,42}, {10,22}, {15,45}, {16,30}, {6,21}, {14,23}, {5,40}, {2,25}, {2,36}, {9,47}, {5,22}, {4,22}, {3,49}, {9,29}, {9,32}, {16,24}, {9,26}, {18,20}, {16,53}, {12,20}, {5,29}, {11,49}, {12,49}, {2,37}, {10,52}, {12,44}, {16,54}, {8,45}, {14,40}, {17,51}, {9,41}, {17,39}, {1,31}, {4,45}, {10,28}, {11,31}, {17,33}, {1,22}, {15,27}, {3,44}, {6,30}, {4,33}, {5,23}, {4,21}, {10,31}, {3,20}, {13,22}, {15,42}, {14,53}, {2,48}, {4,52}, {10,40}, {9,50}, {12,43}, {7,30}, {7,53}, {3,32}, {13,33}, {6,33}, {18,44}, {6,24}, {14,47}, {11,30}, {17,27}, {5,46}, {12,25}, {18,53}, {13,28}, {9,20}, {18,26}, {1,28}, {14,41}, {3,50}, {18,47}, {10,46}, {4,28}, {16,48}, {1,43}, {3,26}, {4,46}, {5,28}, {15,36}, {8,26}, {12,26}, {1,52}, {11,54}, {10,43}, {5,41}, {6,51}, {7,47}, {8,32}, {8,21}, {3,19}, {14,22}, {6,27}, {11,24}, {1,49}, {12,19}, {14,34}, {1,25}, {1,46}, {6,54}, {7,29}, {18,23}, {13,27}, {13,46}, {1,37}, {15,21}, {6,42}, {4,40}, {7,23}, {16,36}, {6,36}, {11,37}, {4,51}, {16,35}, {6,45}, {8,38}, {4,34}, {10,34}, {8,50}, {13,51}, {15,51}, {15,33}, {10,49}, {2,31}, {14,52}, {16,42}, {9,38}, {11,19}, {10,19}, {17,45}, {3,38}, {11,48}, {8,20}, {14,35}, {7,24}, {3,31}, {15,39}, {8,51}, {17,26}, {6,39}, {14,46}, {12,31}, {13,34}, {7,35}, {13,39}, {11,43}, {2,30}, {13,45}, {15,30}, {5,35}, {1,34}, {2,43}, {17,32}, {11,42}, {4,39}, {18,35}, {7,42}, {9,23}, {5,52}, {5,53}, {14,29}, {2,49} }; // ETB54.69 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8874444426961747968 EdgesBipt[54][68]:={ {2,44}, {8,48}, {3,33}, {16,41}, {17,50}, {1,20}, {11,36}, {17,36}, {12,29}, {13,21}, {5,34}, {15,24}, {18,29}, {3,22}, {12,51}, {3,40}, {10,37}, {11,25}, {4,50}, {8,30}, {16,40}, {7,48}, {14,39}, {7,38}, {8,54}, {15,49}, {16,31}, {18,38}, {15,31}, {10,23}, {12,38}, {17,34}, {9,44}, {4,19}, {16,19}, {4,31}, {9,49}, {15,44}, {1,19}, {12,42}, {2,27}, {3,35}, {2,26}, {8,39}, {11,41}, {1,21}, {9,53}, {13,47}, {12,34}, {1,30}, {5,32}, {16,23}, {9,35}, {8,44}, {4,23}, {8,27}, {13,29}, {2,54}, {11,50}, {18,34}, {10,22}, {18,42}, {14,54}, {6,29}, {2,45}, {6,47}, {1,38}, {2,36}, {4,22}, {3,49}, {7,20}, {14,21}, {14,36}, {5,50}, {9,26}, {18,20}, {12,20}, {15,40}, {4,41}, {5,43}, {7,46}, {8,45}, {14,30}, {7,39}, {5,25}, {2,39}, {15,26}, {17,23}, {10,41}, {2,53}, {10,28}, {2,35}, {3,44}, {6,43}, {5,23}, {10,31}, {3,51}, {15,42}, {9,42}, {14,53}, {2,48}, {16,37}, {10,40}, {12,43}, {17,43}, {1,29}, {7,30}, {8,36}, {6,33}, {14,48}, {15,53}, {18,43}, {16,32}, {11,23}, {6,24}, {15,35}, {12,47}, {17,27}, {8,53}, {12,25}, {18,24}, {8,35}, {13,28}, {1,28}, {18,47}, {9,51}, {10,46}, {4,28}, {18,33}, {4,46}, {3,26}, {8,26}, {16,49}, {17,52}, {16,22}, {9,22}, {12,33}, {11,54}, {18,52}, {13,30}, {5,41}, {17,54}, {6,51}, {7,47}, {9,40}, {11,52}, {5,54}, {8,21}, {17,25}, {1,39}, {10,32}, {18,25}, {5,36}, {1,46}, {17,41}, {7,29}, {13,46}, {1,37}, {7,28}, {4,37}, {6,42}, {3,53}, {14,45}, {4,40}, {13,19}, {2,21}, {3,24}, {11,27}, {14,44}, {15,22}, {15,51}, {11,32}, {13,48}, {15,33}, {6,25}, {10,49}, {1,47}, {6,38}, {4,49}, {10,50}, {18,51}, {9,33}, {12,52}, {6,34}, {5,27}, {16,46}, {3,42}, {6,52}, {13,38}, {10,19}, {17,45}, {11,45}, {12,24}, {14,35}, {13,37}, {5,45}, {1,48}, {3,31}, {9,24}, {11,34}, {6,20}, {13,39}, {16,50}, {11,43}, {2,30}, {7,37}, {13,20}, {9,31}, {7,19}, {17,32}, {16,28}, {7,21}, {14,27}, {5,52}, {4,32}, {14,26} }; // ETB54.70 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4874877920083968 EdgesBipt[54][69]:={ {2,44}, {15,52}, {3,33}, {9,28}, {11,36}, {17,36}, {18,39}, {13,21}, {15,24}, {12,51}, {3,40}, {4,30}, {18,46}, {9,45}, {12,22}, {16,47}, {8,28}, {18,38}, {18,50}, {3,45}, {10,23}, {12,38}, {7,41}, {14,38}, {12,39}, {8,52}, {1,19}, {13,53}, {3,35}, {15,48}, {2,26}, {1,21}, {15,47}, {17,24}, {14,50}, {10,44}, {3,52}, {2,41}, {2,28}, {12,34}, {16,23}, {9,35}, {14,28}, {8,44}, {4,23}, {13,29}, {12,37}, {12,50}, {18,34}, {10,22}, {6,22}, {18,37}, {10,30}, {15,45}, {16,30}, {9,48}, {9,47}, {4,22}, {10,47}, {15,40}, {8,41}, {2,38}, {12,46}, {12,49}, {2,52}, {5,43}, {16,54}, {11,51}, {14,40}, {17,51}, {4,42}, {17,39}, {10,54}, {1,31}, {7,49}, {2,53}, {7,43}, {11,31}, {7,25}, {4,47}, {18,49}, {6,49}, {2,20}, {13,49}, {14,53}, {17,43}, {1,29}, {13,31}, {7,53}, {4,35}, {13,33}, {2,32}, {16,32}, {6,50}, {13,43}, {5,30}, {17,30}, {6,46}, {11,30}, {15,35}, {5,24}, {17,27}, {8,53}, {12,25}, {1,45}, {17,48}, {5,48}, {13,25}, {10,42}, {18,26}, {18,27}, {14,41}, {4,54}, {10,46}, {1,33}, {1,43}, {4,46}, {15,36}, {8,26}, {17,31}, {5,42}, {12,26}, {16,22}, {7,31}, {11,54}, {17,54}, {6,51}, {12,27}, {9,40}, {5,54}, {8,32}, {5,31}, {11,24}, {6,27}, {11,39}, {1,49}, {6,26}, {8,40}, {3,23}, {10,32}, {18,25}, {5,36}, {3,21}, {17,19}, {1,25}, {16,44}, {5,51}, {1,53}, {7,29}, {1,37}, {14,20}, {15,21}, {16,34}, {5,39}, {10,35}, {13,19}, {3,24}, {2,29}, {11,27}, {16,35}, {8,38}, {4,34}, {14,44}, {3,48}, {8,50}, {10,34}, {18,22}, {14,32}, {15,33}, {16,20}, {13,41}, {6,25}, {6,38}, {2,40}, {14,52}, {18,51}, {9,33}, {9,36}, {16,42}, {6,34}, {5,27}, {16,46}, {15,28}, {11,19}, {9,52}, {4,20}, {11,48}, {3,28}, {8,20}, {7,45}, {15,23}, {1,41}, {13,37}, {9,24}, {10,20}, {6,39}, {7,33}, {6,37}, {3,47}, {17,42}, {5,19}, {11,43}, {13,45}, {7,37}, {7,19}, {11,42}, {3,36}, {9,21}, {4,44}, {9,23}, {7,21}, {8,29}, {4,32}, {14,29}, {2,50}, {14,26} }; // ETB54.71 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 146081389744226304 EdgesBipt[54][70]:={ {2,44}, {11,53}, {3,33}, {10,25}, {11,20}, {4,27}, {13,21}, {11,35}, {5,34}, {4,24}, {16,26}, {12,51}, {17,38}, {10,37}, {17,47}, {18,32}, {4,30}, {7,48}, {14,39}, {2,23}, {9,45}, {5,38}, {12,32}, {8,42}, {15,49}, {15,31}, {18,50}, {8,33}, {7,44}, {1,40}, {17,20}, {14,38}, {16,19}, {12,41}, {15,44}, {1,19}, {12,42}, {5,47}, {18,54}, {5,20}, {9,43}, {3,37}, {2,26}, {11,41}, {17,24}, {15,54}, {2,41}, {18,41}, {17,40}, {8,31}, {12,37}, {12,50}, {11,50}, {18,34}, {10,22}, {6,22}, {15,45}, {16,30}, {11,38}, {3,46}, {6,40}, {6,31}, {9,32}, {14,21}, {9,27}, {16,53}, {15,40}, {5,29}, {2,38}, {8,47}, {12,46}, {10,52}, {5,43}, {7,46}, {14,30}, {17,51}, {7,39}, {4,42}, {9,41}, {5,25}, {15,26}, {1,31}, {4,45}, {2,53}, {10,28}, {2,35}, {17,33}, {11,44}, {1,22}, {15,27}, {4,33}, {4,21}, {9,54}, {10,31}, {9,34}, {6,49}, {3,51}, {2,20}, {16,37}, {10,40}, {9,50}, {7,30}, {7,53}, {3,32}, {9,25}, {13,33}, {2,32}, {7,26}, {14,48}, {15,53}, {18,43}, {11,23}, {11,29}, {5,30}, {14,47}, {6,44}, {15,35}, {4,48}, {17,49}, {12,28}, {8,22}, {5,48}, {13,54}, {1,28}, {18,27}, {3,50}, {4,54}, {10,46}, {18,36}, {16,48}, {1,43}, {13,36}, {15,36}, {17,31}, {1,52}, {12,33}, {18,52}, {13,30}, {10,43}, {4,36}, {3,19}, {12,23}, {13,24}, {6,27}, {1,49}, {12,19}, {8,40}, {6,26}, {3,23}, {14,34}, {18,25}, {17,29}, {1,25}, {1,46}, {16,44}, {6,54}, {18,23}, {13,27}, {13,42}, {1,37}, {14,20}, {5,39}, {14,25}, {16,21}, {7,28}, {11,26}, {6,36}, {4,51}, {3,24}, {2,29}, {16,35}, {6,45}, {8,38}, {10,34}, {15,22}, {13,51}, {11,32}, {13,48}, {8,24}, {2,47}, {10,49}, {14,52}, {9,36}, {11,47}, {14,43}, {8,49}, {16,46}, {18,45}, {3,42}, {16,39}, {10,19}, {9,52}, {12,24}, {8,20}, {3,28}, {3,41}, {8,51}, {17,42}, {7,35}, {13,39}, {17,22}, {5,21}, {6,53}, {13,45}, {7,37}, {1,34}, {7,19}, {6,35}, {4,39}, {16,28}, {9,23}, {7,21}, {8,29}, {5,52}, {14,29}, {2,50} }; // ETB54.72 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 285315214344192 EdgesBipt[54][71]:={ {6,48}, {11,53}, {10,24}, {13,52}, {9,28}, {17,35}, {17,44}, {11,36}, {18,39}, {12,29}, {11,35}, {13,40}, {18,48}, {15,24}, {16,33}, {4,26}, {3,22}, {3,40}, {4,53}, {4,50}, {14,51}, {7,48}, {17,53}, {2,23}, {8,43}, {12,22}, {5,38}, {7,38}, {8,28}, {3,45}, {3,43}, {3,25}, {10,23}, {12,38}, {1,40}, {4,19}, {16,19}, {8,52}, {10,33}, {1,19}, {5,47}, {18,54}, {5,20}, {9,43}, {14,31}, {11,41}, {15,47}, {7,51}, {12,35}, {18,21}, {3,52}, {8,25}, {2,41}, {13,47}, {17,40}, {4,23}, {17,46}, {13,29}, {11,50}, {18,34}, {14,54}, {16,30}, {15,29}, {6,21}, {3,34}, {2,25}, {2,34}, {14,33}, {9,48}, {8,19}, {3,49}, {7,20}, {17,37}, {14,36}, {15,32}, {16,24}, {12,20}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {12,49}, {2,52}, {12,44}, {14,40}, {7,39}, {10,54}, {1,31}, {10,41}, {14,24}, {11,44}, {1,22}, {1,51}, {6,30}, {9,34}, {13,22}, {15,42}, {2,20}, {13,49}, {16,37}, {7,30}, {13,31}, {18,30}, {4,35}, {9,25}, {15,41}, {2,32}, {15,50}, {18,43}, {11,23}, {13,43}, {5,30}, {6,44}, {9,37}, {12,47}, {17,49}, {14,42}, {5,48}, {13,25}, {10,42}, {15,20}, {1,28}, {18,27}, {3,27}, {18,36}, {4,28}, {1,33}, {10,45}, {16,48}, {4,46}, {8,37}, {10,51}, {17,31}, {12,26}, {11,54}, {18,52}, {7,47}, {17,28}, {16,51}, {8,32}, {1,42}, {1,24}, {14,22}, {6,27}, {1,49}, {5,44}, {6,26}, {12,40}, {12,53}, {8,23}, {10,32}, {14,49}, {18,25}, {17,19}, {1,46}, {6,54}, {7,29}, {9,30}, {1,37}, {5,39}, {16,21}, {4,37}, {11,26}, {14,45}, {6,36}, {8,34}, {2,29}, {11,27}, {10,27}, {6,45}, {10,36}, {8,50}, {15,51}, {11,32}, {15,33}, {2,47}, {10,50}, {16,42}, {15,38}, {5,26}, {16,46}, {18,45}, {16,39}, {9,39}, {13,38}, {9,52}, {11,45}, {8,46}, {15,23}, {7,24}, {3,31}, {3,54}, {9,46}, {17,26}, {6,39}, {7,33}, {12,31}, {13,34}, {17,22}, {5,21}, {6,53}, {13,20}, {5,35}, {2,43}, {6,35}, {9,21}, {3,36}, {16,28}, {7,42}, {4,44}, {7,21}, {14,27}, {4,32}, {5,53}, {2,50} }; // ETB54.73 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14495514624 EdgesBipt[54][72]:={ {8,48}, {15,52}, {11,20}, {13,32}, {9,28}, {2,33}, {6,32}, {17,35}, {18,39}, {13,21}, {16,26}, {18,29}, {12,45}, {15,46}, {10,37}, {17,47}, {4,53}, {18,32}, {4,30}, {4,50}, {11,25}, {16,27}, {8,30}, {14,51}, {18,46}, {17,53}, {2,23}, {5,38}, {2,51}, {7,38}, {8,42}, {16,31}, {18,50}, {3,45}, {1,27}, {3,43}, {3,25}, {7,44}, {1,40}, {10,26}, {7,54}, {4,19}, {14,38}, {4,31}, {12,41}, {1,19}, {12,42}, {13,53}, {5,47}, {18,54}, {5,20}, {13,35}, {11,41}, {17,24}, {7,36}, {15,43}, {18,21}, {10,44}, {3,52}, {2,41}, {12,34}, {17,40}, {14,28}, {10,22}, {10,53}, {15,25}, {18,42}, {3,34}, {5,40}, {2,25}, {11,38}, {11,33}, {14,33}, {9,47}, {5,22}, {9,29}, {7,20}, {9,32}, {15,32}, {12,36}, {1,44}, {5,29}, {8,41}, {2,38}, {8,47}, {11,49}, {10,52}, {16,54}, {11,51}, {14,40}, {7,39}, {17,23}, {7,49}, {11,31}, {1,22}, {6,43}, {4,21}, {9,54}, {15,19}, {9,42}, {2,20}, {13,49}, {2,48}, {10,40}, {9,50}, {12,43}, {13,31}, {4,35}, {7,26}, {6,33}, {15,50}, {11,23}, {6,50}, {13,50}, {14,47}, {17,30}, {6,46}, {11,30}, {4,48}, {5,46}, {8,53}, {12,25}, {15,37}, {8,22}, {1,45}, {15,34}, {17,48}, {18,24}, {8,35}, {3,27}, {18,47}, {18,36}, {10,45}, {16,38}, {5,28}, {16,49}, {1,52}, {7,31}, {13,30}, {6,51}, {12,27}, {16,45}, {12,23}, {14,22}, {5,44}, {8,40}, {3,23}, {8,23}, {17,29}, {6,19}, {16,44}, {5,51}, {1,53}, {17,41}, {6,28}, {1,35}, {14,20}, {1,37}, {16,21}, {4,37}, {10,35}, {13,19}, {16,36}, {5,33}, {3,24}, {18,28}, {10,27}, {1,26}, {14,44}, {10,34}, {15,51}, {13,48}, {15,33}, {16,20}, {8,24}, {6,25}, {4,49}, {2,31}, {12,52}, {9,36}, {6,34}, {5,26}, {3,42}, {15,28}, {16,39}, {9,39}, {6,52}, {10,19}, {11,48}, {12,24}, {7,27}, {7,45}, {13,37}, {3,41}, {3,54}, {9,24}, {9,46}, {14,46}, {6,37}, {17,42}, {13,39}, {17,22}, {11,43}, {2,30}, {1,34}, {2,43}, {9,21}, {3,36}, {12,54}, {4,39}, {7,21}, {8,29}, {4,32}, {14,29}, {2,49}, {14,26} }; // ETB54.74 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 481469424205824 EdgesBipt[54][73]:={ {8,48}, {3,33}, {10,25}, {1,20}, {2,24}, {17,44}, {11,36}, {17,36}, {18,39}, {12,29}, {11,35}, {14,19}, {16,26}, {4,26}, {3,40}, {12,45}, {10,37}, {4,53}, {4,50}, {8,30}, {16,40}, {18,46}, {2,23}, {9,45}, {2,51}, {12,32}, {7,38}, {8,42}, {8,54}, {15,49}, {16,31}, {4,29}, {1,32}, {3,45}, {1,27}, {7,54}, {10,26}, {17,20}, {17,34}, {16,19}, {12,41}, {2,27}, {13,53}, {9,43}, {13,35}, {14,31}, {15,47}, {17,24}, {15,54}, {18,21}, {10,44}, {3,52}, {13,47}, {2,28}, {8,44}, {4,23}, {17,46}, {13,29}, {18,34}, {15,25}, {11,28}, {16,43}, {15,45}, {16,30}, {4,38}, {6,47}, {6,21}, {1,38}, {2,36}, {1,50}, {4,22}, {10,38}, {14,36}, {9,27}, {12,20}, {1,44}, {4,41}, {5,29}, {9,19}, {2,52}, {5,43}, {12,44}, {16,54}, {11,51}, {5,25}, {2,39}, {16,52}, {7,43}, {14,24}, {2,35}, {1,51}, {3,44}, {6,30}, {4,47}, {3,20}, {9,34}, {13,22}, {6,49}, {15,42}, {14,53}, {2,48}, {7,30}, {7,50}, {3,32}, {4,35}, {8,36}, {6,33}, {7,26}, {14,48}, {18,43}, {11,23}, {13,50}, {17,30}, {15,35}, {5,24}, {13,23}, {12,28}, {5,49}, {15,37}, {8,22}, {17,48}, {5,48}, {18,27}, {14,41}, {14,37}, {9,51}, {18,33}, {3,29}, {6,23}, {4,46}, {16,38}, {10,51}, {18,31}, {9,22}, {7,31}, {12,33}, {5,41}, {17,54}, {11,52}, {8,32}, {5,31}, {11,24}, {11,39}, {1,49}, {12,40}, {12,53}, {18,19}, {1,39}, {10,32}, {14,49}, {5,36}, {3,21}, {1,25}, {6,54}, {10,39}, {13,46}, {1,37}, {15,21}, {14,25}, {7,28}, {6,42}, {13,26}, {3,53}, {8,34}, {11,27}, {10,27}, {6,45}, {1,26}, {4,34}, {18,22}, {15,33}, {8,24}, {2,47}, {10,49}, {6,25}, {13,41}, {2,40}, {11,40}, {10,50}, {18,51}, {9,33}, {12,52}, {16,42}, {11,47}, {14,43}, {18,45}, {9,39}, {13,38}, {11,48}, {3,28}, {8,20}, {8,46}, {15,23}, {3,41}, {9,46}, {10,20}, {6,37}, {13,34}, {17,42}, {5,19}, {17,22}, {16,50}, {15,30}, {9,31}, {7,52}, {5,37}, {7,19}, {6,35}, {17,32}, {9,21}, {16,28}, {7,40}, {7,42}, {12,21}, {5,53}, {14,29} }; // ETB54.75 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 313456656384 EdgesBipt[54][74]:={ {15,52}, {10,24}, {13,52}, {2,33}, {6,32}, {17,35}, {17,36}, {13,21}, {13,40}, {16,33}, {3,40}, {12,45}, {17,47}, {18,32}, {4,30}, {11,25}, {16,27}, {14,51}, {14,39}, {17,53}, {8,43}, {12,22}, {7,38}, {15,49}, {18,38}, {18,50}, {3,25}, {10,23}, {7,41}, {7,44}, {10,26}, {9,44}, {2,19}, {9,49}, {10,33}, {1,19}, {5,20}, {3,37}, {2,26}, {15,47}, {17,24}, {3,52}, {2,28}, {12,34}, {5,32}, {8,44}, {4,23}, {8,31}, {15,25}, {11,28}, {18,37}, {2,45}, {16,30}, {6,47}, {10,48}, {1,38}, {1,50}, {10,38}, {3,49}, {8,19}, {10,47}, {7,20}, {9,32}, {14,36}, {16,24}, {18,20}, {9,27}, {12,36}, {15,40}, {5,29}, {8,41}, {2,38}, {12,46}, {11,49}, {2,52}, {16,54}, {4,42}, {7,32}, {15,26}, {17,23}, {1,31}, {11,22}, {4,45}, {11,31}, {14,24}, {6,30}, {4,47}, {18,49}, {4,33}, {4,21}, {9,34}, {13,22}, {6,49}, {3,51}, {10,21}, {14,53}, {4,52}, {12,43}, {1,29}, {7,50}, {3,39}, {7,53}, {4,35}, {9,25}, {7,26}, {13,33}, {14,48}, {15,50}, {18,44}, {18,43}, {5,30}, {6,44}, {17,30}, {15,35}, {9,37}, {8,53}, {15,37}, {8,22}, {17,48}, {13,28}, {9,20}, {18,26}, {14,41}, {3,27}, {9,51}, {4,54}, {4,28}, {10,45}, {6,23}, {16,48}, {1,43}, {18,31}, {5,42}, {9,22}, {12,33}, {5,41}, {17,54}, {7,47}, {16,51}, {11,52}, {5,54}, {8,32}, {16,45}, {1,24}, {14,22}, {5,44}, {12,19}, {14,34}, {18,19}, {18,25}, {17,29}, {11,46}, {6,54}, {5,51}, {1,53}, {17,41}, {7,29}, {13,27}, {13,46}, {5,39}, {16,21}, {6,42}, {4,40}, {10,35}, {7,23}, {16,36}, {2,21}, {3,30}, {8,34}, {11,37}, {1,26}, {10,36}, {13,51}, {6,25}, {2,40}, {2,31}, {10,50}, {11,40}, {16,42}, {5,27}, {15,38}, {3,42}, {15,28}, {16,39}, {9,39}, {11,19}, {12,48}, {12,24}, {8,20}, {3,28}, {8,46}, {15,23}, {1,41}, {1,48}, {3,54}, {9,46}, {14,46}, {12,31}, {6,37}, {11,34}, {13,34}, {17,42}, {6,20}, {7,35}, {13,39}, {11,43}, {13,45}, {2,43}, {6,35}, {14,27}, {8,29}, {12,21}, {5,53}, {1,36}, {14,29}, {2,50} }; // ETB54.76 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 313456656384 EdgesBipt[54][75]:={ {2,44}, {10,25}, {1,20}, {13,32}, {11,36}, {18,39}, {12,29}, {13,21}, {18,48}, {4,24}, {15,24}, {16,26}, {16,33}, {4,26}, {3,22}, {12,51}, {10,37}, {4,50}, {16,27}, {14,51}, {18,46}, {7,48}, {14,39}, {5,38}, {12,32}, {8,28}, {15,49}, {15,31}, {1,32}, {3,25}, {7,41}, {7,54}, {12,39}, {2,19}, {8,52}, {12,41}, {1,19}, {12,42}, {3,35}, {5,47}, {3,37}, {13,35}, {15,48}, {2,26}, {15,54}, {7,36}, {15,43}, {17,21}, {9,53}, {13,47}, {17,40}, {14,28}, {4,23}, {18,34}, {15,25}, {18,37}, {10,30}, {6,29}, {4,38}, {3,34}, {5,40}, {2,25}, {3,46}, {11,33}, {6,31}, {6,40}, {14,33}, {9,48}, {3,49}, {9,29}, {14,21}, {5,50}, {9,26}, {9,27}, {12,20}, {1,44}, {8,41}, {2,38}, {8,47}, {2,37}, {10,52}, {12,44}, {14,40}, {9,41}, {5,25}, {10,54}, {1,31}, {11,22}, {4,45}, {10,28}, {11,31}, {17,33}, {1,22}, {3,44}, {4,47}, {6,43}, {18,49}, {4,33}, {5,23}, {4,21}, {3,20}, {15,19}, {15,42}, {2,20}, {10,40}, {9,50}, {17,43}, {1,29}, {7,30}, {7,53}, {3,32}, {11,21}, {4,35}, {2,32}, {13,33}, {16,32}, {6,50}, {13,44}, {17,30}, {4,48}, {8,53}, {13,23}, {5,49}, {15,37}, {8,22}, {13,54}, {18,24}, {8,35}, {10,42}, {18,27}, {9,51}, {18,36}, {1,43}, {16,38}, {5,28}, {15,36}, {10,51}, {17,31}, {17,52}, {13,30}, {4,36}, {17,54}, {7,47}, {17,28}, {12,27}, {16,51}, {16,45}, {14,22}, {11,24}, {6,26}, {8,40}, {12,53}, {12,30}, {3,23}, {8,23}, {14,34}, {18,25}, {17,19}, {6,19}, {1,46}, {11,46}, {16,44}, {1,53}, {7,29}, {6,41}, {6,28}, {10,39}, {13,42}, {16,21}, {14,45}, {7,23}, {8,34}, {10,27}, {18,22}, {16,20}, {10,49}, {6,38}, {2,31}, {14,52}, {18,51}, {9,36}, {5,26}, {16,39}, {9,39}, {6,52}, {9,38}, {11,19}, {17,45}, {11,45}, {11,48}, {8,46}, {1,41}, {7,24}, {9,24}, {14,46}, {11,34}, {3,47}, {17,42}, {7,35}, {16,50}, {11,43}, {6,53}, {13,45}, {15,30}, {13,20}, {5,35}, {1,34}, {5,37}, {2,43}, {12,54}, {7,42}, {14,27}, {8,29}, {5,52}, {2,50}, {2,49} }; // ETB54.77 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 313456656384 EdgesBipt[54][76]:={ {11,20}, {6,32}, {11,36}, {17,36}, {4,27}, {12,29}, {13,21}, {11,35}, {18,48}, {4,26}, {3,22}, {12,45}, {15,46}, {4,30}, {4,50}, {16,27}, {16,40}, {18,46}, {2,23}, {9,45}, {12,32}, {8,28}, {15,49}, {16,31}, {3,25}, {7,41}, {14,38}, {16,19}, {2,19}, {8,52}, {12,41}, {1,19}, {5,47}, {18,54}, {5,20}, {3,37}, {17,24}, {7,51}, {15,54}, {14,50}, {17,21}, {2,41}, {9,53}, {5,32}, {17,40}, {8,44}, {4,23}, {18,34}, {10,22}, {15,25}, {18,42}, {14,54}, {16,43}, {10,30}, {6,29}, {15,45}, {4,38}, {3,34}, {5,40}, {2,25}, {3,46}, {6,40}, {1,38}, {1,50}, {3,49}, {9,29}, {17,37}, {14,36}, {16,24}, {9,26}, {12,20}, {12,36}, {2,37}, {5,43}, {12,44}, {11,51}, {14,30}, {7,39}, {4,42}, {9,41}, {10,54}, {1,31}, {16,52}, {2,53}, {14,24}, {2,35}, {17,33}, {11,44}, {1,22}, {4,47}, {5,23}, {9,54}, {10,31}, {6,49}, {15,42}, {9,42}, {13,49}, {9,50}, {13,31}, {7,53}, {18,30}, {4,35}, {13,33}, {14,48}, {11,23}, {1,23}, {13,43}, {6,44}, {17,49}, {15,37}, {8,22}, {14,42}, {15,34}, {17,48}, {13,25}, {18,24}, {10,42}, {3,50}, {4,54}, {10,46}, {18,36}, {3,29}, {16,48}, {1,43}, {3,26}, {5,28}, {8,26}, {10,51}, {17,52}, {12,33}, {18,52}, {10,43}, {7,47}, {17,28}, {16,51}, {8,32}, {5,31}, {11,24}, {17,25}, {11,39}, {5,44}, {8,40}, {12,53}, {1,46}, {7,29}, {6,41}, {6,28}, {9,30}, {10,39}, {13,27}, {1,35}, {14,20}, {15,21}, {3,53}, {7,23}, {13,19}, {16,36}, {8,34}, {4,51}, {2,29}, {11,27}, {18,28}, {10,27}, {8,38}, {1,26}, {14,44}, {10,34}, {8,50}, {15,22}, {13,51}, {18,22}, {11,32}, {14,32}, {15,33}, {2,47}, {6,25}, {1,47}, {2,31}, {9,33}, {11,47}, {16,39}, {6,52}, {12,48}, {9,38}, {10,19}, {17,45}, {3,38}, {11,48}, {12,24}, {8,20}, {7,27}, {7,45}, {8,46}, {13,37}, {3,41}, {18,40}, {7,33}, {6,37}, {5,19}, {6,20}, {7,35}, {13,39}, {6,53}, {13,45}, {15,30}, {5,35}, {1,34}, {2,43}, {9,21}, {4,39}, {16,28}, {7,21}, {5,52}, {12,21}, {2,49}, {14,26} }; // ETB54.78 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56623104 EdgesBipt[54][77]:={ {2,44}, {10,24}, {2,24}, {9,28}, {6,32}, {18,39}, {13,40}, {4,24}, {18,29}, {12,51}, {17,38}, {14,39}, {8,43}, {8,28}, {15,49}, {15,31}, {8,33}, {1,27}, {3,43}, {3,25}, {7,44}, {10,26}, {17,20}, {17,34}, {4,19}, {16,19}, {12,39}, {4,31}, {12,41}, {15,44}, {1,19}, {3,37}, {2,26}, {11,41}, {16,25}, {12,35}, {18,21}, {10,44}, {8,25}, {13,47}, {1,30}, {17,40}, {14,28}, {13,29}, {2,42}, {10,22}, {18,42}, {16,43}, {18,37}, {15,45}, {5,40}, {9,47}, {5,22}, {9,29}, {14,21}, {9,32}, {15,40}, {1,44}, {2,38}, {8,47}, {11,49}, {12,49}, {10,52}, {5,43}, {14,30}, {7,39}, {4,42}, {5,25}, {7,32}, {10,54}, {15,26}, {17,23}, {16,52}, {2,53}, {11,31}, {14,24}, {2,35}, {15,27}, {4,33}, {13,22}, {9,42}, {2,20}, {14,53}, {2,48}, {16,37}, {10,40}, {9,50}, {12,43}, {17,43}, {7,50}, {7,53}, {3,32}, {11,21}, {13,33}, {7,26}, {14,48}, {18,44}, {16,32}, {11,23}, {6,50}, {5,30}, {17,30}, {11,30}, {5,46}, {8,53}, {13,23}, {12,25}, {5,49}, {1,45}, {14,42}, {17,48}, {5,48}, {13,54}, {18,24}, {8,35}, {10,42}, {15,20}, {9,20}, {18,26}, {3,50}, {18,47}, {4,54}, {4,28}, {18,33}, {3,29}, {6,23}, {4,46}, {5,28}, {13,36}, {17,52}, {1,52}, {9,22}, {12,33}, {4,36}, {7,47}, {9,40}, {5,54}, {3,19}, {12,23}, {5,31}, {6,27}, {17,25}, {11,39}, {12,53}, {3,23}, {14,34}, {18,19}, {10,32}, {5,36}, {17,41}, {7,29}, {6,41}, {13,27}, {1,37}, {16,34}, {16,21}, {4,37}, {11,37}, {4,51}, {11,27}, {6,45}, {8,38}, {1,26}, {10,36}, {10,34}, {15,22}, {13,51}, {15,51}, {15,33}, {13,41}, {6,38}, {4,49}, {2,31}, {10,50}, {14,52}, {18,51}, {6,34}, {15,38}, {16,46}, {16,39}, {6,52}, {9,38}, {11,19}, {11,45}, {11,48}, {8,20}, {7,27}, {7,45}, {8,46}, {14,35}, {3,41}, {1,48}, {3,54}, {9,24}, {9,46}, {8,51}, {14,46}, {12,31}, {3,47}, {6,20}, {7,35}, {17,22}, {16,50}, {6,53}, {2,30}, {13,45}, {1,54}, {1,34}, {6,35}, {3,36}, {16,28}, {7,21}, {8,29}, {12,21}, {1,36}, {2,49} }; // ETB54.79 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1358954496 EdgesBipt[54][78]:={ {6,48}, {2,44}, {16,41}, {10,24}, {13,32}, {9,28}, {17,35}, {11,36}, {18,39}, {4,27}, {12,29}, {18,48}, {14,19}, {15,24}, {3,22}, {3,40}, {12,45}, {17,47}, {4,30}, {16,27}, {17,53}, {2,23}, {8,43}, {12,22}, {5,38}, {12,32}, {7,38}, {16,31}, {1,32}, {8,33}, {12,38}, {7,41}, {7,44}, {1,40}, {4,31}, {2,19}, {8,52}, {1,19}, {13,53}, {5,47}, {5,20}, {9,43}, {3,37}, {13,35}, {2,26}, {8,39}, {7,34}, {15,47}, {17,24}, {7,51}, {14,50}, {15,43}, {17,21}, {18,21}, {3,52}, {8,25}, {2,41}, {12,34}, {1,30}, {18,41}, {16,23}, {14,28}, {12,50}, {6,22}, {15,25}, {11,28}, {15,29}, {3,34}, {14,23}, {6,40}, {1,50}, {4,22}, {10,38}, {3,49}, {7,20}, {15,32}, {12,20}, {5,29}, {8,47}, {11,49}, {2,37}, {7,46}, {17,39}, {10,54}, {16,52}, {4,45}, {2,53}, {10,28}, {11,31}, {2,35}, {11,44}, {1,22}, {3,44}, {6,30}, {4,21}, {9,54}, {15,19}, {15,42}, {9,42}, {2,48}, {18,30}, {9,25}, {7,26}, {6,33}, {15,50}, {15,53}, {18,43}, {13,50}, {6,44}, {15,35}, {5,24}, {12,47}, {4,48}, {17,27}, {17,49}, {13,23}, {15,37}, {18,53}, {8,22}, {10,42}, {14,41}, {14,37}, {9,51}, {4,54}, {10,46}, {10,45}, {18,33}, {3,29}, {1,43}, {3,26}, {16,49}, {17,31}, {5,42}, {11,54}, {13,30}, {4,36}, {6,51}, {12,27}, {16,45}, {8,21}, {3,19}, {11,24}, {5,44}, {6,26}, {8,40}, {12,40}, {14,34}, {10,32}, {18,25}, {17,29}, {1,25}, {11,46}, {6,54}, {5,51}, {18,23}, {13,27}, {1,37}, {16,34}, {14,25}, {16,21}, {7,28}, {11,26}, {4,40}, {7,23}, {6,36}, {8,34}, {5,33}, {11,37}, {10,27}, {10,36}, {13,48}, {14,32}, {13,41}, {6,38}, {4,49}, {2,31}, {10,50}, {14,52}, {18,51}, {9,33}, {9,36}, {12,52}, {14,43}, {5,26}, {16,46}, {16,39}, {9,39}, {13,38}, {11,19}, {17,45}, {1,48}, {3,31}, {9,24}, {9,46}, {8,51}, {10,20}, {14,46}, {7,33}, {3,47}, {17,42}, {6,20}, {2,30}, {13,45}, {13,20}, {5,35}, {1,54}, {7,52}, {11,42}, {9,21}, {4,39}, {16,28}, {18,35}, {8,29}, {1,36}, {5,53}, {2,49} }; // ETB54.80 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56623104 EdgesBipt[54][79]:={ {6,48}, {11,53}, {3,33}, {16,41}, {10,25}, {11,20}, {13,52}, {13,32}, {6,32}, {17,35}, {18,39}, {12,29}, {2,46}, {11,35}, {15,24}, {16,33}, {18,29}, {4,26}, {3,22}, {3,40}, {17,38}, {11,25}, {16,27}, {14,51}, {14,39}, {17,53}, {2,23}, {8,43}, {12,32}, {7,38}, {8,42}, {8,54}, {4,29}, {1,27}, {3,43}, {3,25}, {7,44}, {17,20}, {9,44}, {12,39}, {7,22}, {4,31}, {10,33}, {12,42}, {2,27}, {1,19}, {18,54}, {3,37}, {15,48}, {8,39}, {7,34}, {12,35}, {18,21}, {8,25}, {2,41}, {2,28}, {18,41}, {16,23}, {4,23}, {17,46}, {8,31}, {12,50}, {11,50}, {10,22}, {10,53}, {6,22}, {14,54}, {2,45}, {15,45}, {16,30}, {4,38}, {14,23}, {11,38}, {3,46}, {6,40}, {2,34}, {14,33}, {9,48}, {10,38}, {7,20}, {14,21}, {14,36}, {15,32}, {9,26}, {16,53}, {4,41}, {2,38}, {8,47}, {9,19}, {2,52}, {5,43}, {14,30}, {17,51}, {5,25}, {7,32}, {17,23}, {1,31}, {11,22}, {10,28}, {17,33}, {15,27}, {6,30}, {4,47}, {18,49}, {9,54}, {3,51}, {15,42}, {2,20}, {4,52}, {10,40}, {12,43}, {7,50}, {8,36}, {7,26}, {14,48}, {15,50}, {18,44}, {15,53}, {6,50}, {11,29}, {13,50}, {6,44}, {15,35}, {5,24}, {12,47}, {9,37}, {17,27}, {5,46}, {12,25}, {5,49}, {1,45}, {18,26}, {1,28}, {14,41}, {18,47}, {9,51}, {10,46}, {18,36}, {16,48}, {5,28}, {10,51}, {18,31}, {5,42}, {1,52}, {9,22}, {13,30}, {10,43}, {7,47}, {17,28}, {16,51}, {9,40}, {5,54}, {16,45}, {8,21}, {1,42}, {3,19}, {1,24}, {13,24}, {5,31}, {1,49}, {6,26}, {12,53}, {5,36}, {6,19}, {1,46}, {17,41}, {7,29}, {18,23}, {9,30}, {13,27}, {13,42}, {1,37}, {15,21}, {16,21}, {10,35}, {13,19}, {16,35}, {4,34}, {14,44}, {11,32}, {13,48}, {8,24}, {4,49}, {2,31}, {11,40}, {9,33}, {9,36}, {6,34}, {11,47}, {8,49}, {16,39}, {6,52}, {17,45}, {4,20}, {12,24}, {3,28}, {13,37}, {3,54}, {15,39}, {10,20}, {6,37}, {13,34}, {5,19}, {11,43}, {13,45}, {15,30}, {1,34}, {7,52}, {5,37}, {3,36}, {7,40}, {4,44}, {8,29}, {12,21}, {2,49}, {14,26} }; // ETB54.81 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56623104 EdgesBipt[54][80]:={ {6,48}, {15,52}, {3,33}, {17,35}, {11,36}, {18,39}, {4,27}, {2,46}, {5,34}, {13,40}, {4,24}, {12,51}, {12,45}, {15,46}, {10,37}, {17,47}, {18,32}, {11,25}, {14,51}, {16,40}, {7,48}, {17,53}, {8,43}, {5,38}, {12,32}, {8,42}, {8,54}, {16,31}, {4,29}, {18,50}, {1,27}, {10,23}, {7,41}, {7,44}, {17,34}, {16,19}, {9,49}, {1,19}, {12,42}, {18,54}, {5,20}, {14,31}, {1,21}, {16,25}, {18,21}, {3,52}, {8,25}, {9,53}, {2,28}, {12,34}, {18,41}, {5,32}, {9,35}, {17,46}, {8,27}, {12,50}, {10,53}, {16,43}, {15,45}, {3,34}, {5,40}, {2,25}, {6,31}, {14,33}, {5,22}, {10,38}, {5,50}, {15,32}, {16,24}, {2,38}, {9,19}, {12,49}, {7,46}, {8,45}, {14,30}, {17,51}, {7,39}, {4,42}, {1,31}, {10,41}, {11,22}, {4,45}, {2,53}, {10,28}, {14,24}, {2,35}, {17,33}, {11,44}, {15,27}, {3,44}, {6,30}, {4,47}, {4,21}, {9,34}, {13,22}, {6,49}, {3,51}, {10,21}, {2,20}, {16,37}, {7,30}, {3,32}, {8,36}, {6,33}, {7,26}, {14,48}, {15,50}, {18,44}, {15,53}, {1,23}, {11,29}, {13,44}, {14,47}, {6,44}, {17,30}, {11,30}, {15,35}, {9,37}, {13,23}, {8,22}, {1,45}, {14,42}, {15,34}, {17,48}, {13,54}, {9,20}, {18,26}, {18,27}, {3,50}, {9,51}, {10,46}, {18,36}, {4,28}, {4,43}, {6,23}, {4,46}, {3,26}, {16,38}, {13,36}, {16,49}, {17,52}, {16,22}, {12,33}, {11,54}, {6,51}, {7,47}, {17,28}, {12,27}, {5,54}, {8,32}, {1,42}, {1,24}, {1,49}, {6,26}, {8,40}, {1,39}, {14,49}, {17,29}, {5,36}, {6,19}, {7,29}, {6,41}, {18,23}, {10,39}, {1,37}, {15,21}, {14,25}, {7,28}, {11,26}, {13,26}, {10,35}, {7,23}, {13,19}, {3,30}, {2,29}, {2,22}, {3,48}, {8,50}, {16,20}, {8,24}, {2,47}, {13,41}, {2,40}, {11,40}, {9,33}, {12,52}, {16,42}, {11,47}, {14,43}, {18,45}, {15,28}, {13,38}, {9,38}, {10,19}, {4,25}, {9,52}, {11,48}, {12,24}, {1,41}, {13,37}, {3,54}, {15,39}, {10,20}, {12,31}, {6,37}, {11,43}, {13,20}, {5,35}, {9,31}, {2,43}, {3,36}, {4,39}, {7,21}, {5,52}, {5,53}, {14,29} }; // ETB54.82 // Bipartite(18,36) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 566231040 EdgesBipt[54][81]:={ {8,48}, {17,50}, {10,24}, {17,44}, {11,36}, {17,36}, {4,24}, {12,51}, {15,46}, {17,47}, {4,53}, {18,32}, {4,30}, {8,30}, {16,40}, {18,46}, {9,45}, {5,38}, {16,47}, {15,49}, {16,31}, {15,31}, {18,50}, {3,45}, {8,33}, {1,40}, {10,26}, {7,54}, {4,19}, {14,38}, {16,19}, {8,52}, {12,41}, {9,49}, {15,44}, {5,20}, {11,41}, {1,21}, {17,24}, {7,51}, {16,25}, {15,54}, {7,36}, {14,50}, {10,44}, {3,52}, {13,47}, {9,53}, {12,34}, {5,32}, {9,35}, {14,28}, {8,27}, {13,29}, {12,37}, {2,54}, {16,29}, {16,43}, {18,37}, {10,30}, {6,21}, {3,34}, {2,25}, {10,48}, {6,31}, {2,36}, {9,47}, {9,29}, {17,37}, {5,50}, {9,27}, {15,40}, {1,44}, {12,46}, {11,49}, {10,52}, {12,44}, {7,46}, {8,45}, {7,39}, {4,42}, {2,39}, {15,26}, {16,52}, {11,31}, {14,24}, {1,22}, {1,51}, {6,43}, {4,33}, {5,23}, {10,31}, {6,49}, {10,21}, {9,42}, {2,48}, {16,37}, {1,29}, {3,39}, {3,32}, {4,35}, {13,33}, {2,32}, {11,23}, {13,43}, {5,30}, {6,46}, {11,30}, {4,48}, {13,23}, {12,28}, {18,53}, {8,22}, {14,42}, {5,48}, {13,25}, {13,54}, {10,42}, {15,20}, {9,20}, {18,27}, {3,50}, {3,27}, {4,43}, {1,33}, {3,29}, {6,23}, {13,36}, {15,36}, {16,49}, {12,26}, {16,22}, {12,33}, {11,54}, {5,41}, {17,54}, {12,23}, {5,44}, {12,19}, {8,40}, {3,23}, {14,34}, {18,19}, {1,39}, {17,29}, {3,21}, {17,19}, {1,53}, {6,41}, {6,28}, {10,39}, {1,35}, {14,20}, {16,34}, {14,25}, {7,28}, {4,37}, {2,21}, {8,34}, {11,37}, {4,51}, {11,27}, {18,28}, {8,38}, {1,26}, {2,22}, {10,34}, {15,22}, {13,51}, {18,22}, {14,32}, {13,41}, {10,49}, {6,25}, {1,47}, {2,40}, {14,52}, {12,52}, {14,43}, {15,38}, {5,26}, {18,45}, {15,28}, {13,38}, {9,38}, {11,19}, {4,25}, {11,45}, {11,48}, {8,20}, {7,27}, {7,45}, {3,41}, {7,24}, {9,24}, {18,40}, {8,51}, {17,26}, {6,39}, {14,46}, {7,33}, {3,47}, {17,42}, {6,53}, {2,30}, {13,20}, {5,35}, {9,31}, {2,43}, {6,35}, {17,32}, {18,35}, {7,42}, {7,21}, {5,53}, {2,50} }; // ETB54.83 // Bipartite(27,27) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1296 EdgesBipt[54][82]:={ {15,33}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {26,46}, {4,28}, {23,53}, {25,47}, {5,45}, {22,40}, {1,49}, {1,40}, {17,42}, {13,39}, {14,50}, {2,35}, {17,33}, {26,43}, {3,35}, {20,46}, {21,30}, {14,31}, {27,33}, {11,53}, {21,54}, {14,45}, {6,48}, {16,37}, {16,28}, {5,32}, {4,37}, {20,52}, {4,40}, {13,43}, {24,48}, {13,40}, {27,54}, {2,33}, {4,38}, {3,49}, {6,29}, {27,36}, {10,47}, {19,40}, {2,34}, {22,37}, {12,48}, {4,30}, {16,49}, {12,46}, {20,43}, {7,45}, {8,46}, {8,37}, {24,46}, {5,41}, {21,38}, {13,30}, {6,39}, {25,34}, {6,49}, {12,31}, {23,28}, {13,47}, {24,30}, {2,48}, {15,30}, {19,52}, {5,37}, {24,47}, {21,50}, {26,35}, {20,35}, {23,43}, {9,35}, {23,42}, {16,34}, {13,51}, {6,46}, {18,39}, {26,52}, {5,50}, {4,49}, {18,47}, {1,38}, {25,52}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {18,36}, {18,33}, {22,43}, {3,38}, {5,28}, {24,41}, {9,46}, {26,42}, {14,35}, {3,47}, {27,39}, {7,32}, {19,38}, {3,51}, {7,37}, {15,50}, {25,29}, {4,32}, {25,44}, {22,49}, {1,30}, {8,50}, {14,28}, {12,47}, {6,36}, {23,40}, {3,30}, {9,51}, {1,47}, {10,36}, {14,33}, {11,33}, {21,31}, {19,30}, {11,48}, {8,41}, {9,38}, {18,38}, {17,54}, {8,45}, {17,31}, {11,52}, {13,36}, {4,45}, {1,51}, {13,53}, {22,29}, {25,32}, {9,54}, {12,41}, {18,54}, {20,54}, {26,54}, {20,31}, {13,45}, {3,44}, {24,39}, {23,48}, {11,34}, {17,28}, {19,45}, {11,46}, {22,30}, {5,52}, {2,43}, {12,30}, {6,30}, {7,34}, {10,44}, {10,29}, {23,35}, {18,44}, {7,28}, {8,34}, {14,52}, {10,30}, {5,40}, {15,35}, {12,29}, {25,53}, {26,31}, {6,31}, {11,32}, {17,52}, {22,53}, {27,51}, {11,54}, {10,52}, {14,43}, {27,35}, {1,44}, {13,38}, {24,35}, {19,44}, {18,31}, {14,40}, {7,49}, {9,41}, {16,45}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {24,29}, {19,29}, {8,32}, {22,39}, {24,51}, {5,31}, {20,48}, {26,53}, {19,34}, {16,44}, {2,54}, {2,41}, {17,41}, {20,32}, {17,50}, {18,41}, {10,40}, {27,46}, {23,37}, {7,29}, {24,49}, {2,45}, {21,46}, {5,46}, {3,48}, {25,43}, {3,33}, {16,36}, {1,45}, {20,50}, {23,32}, {3,50}, {16,53}, {19,43}, {27,47}, {25,36}, {8,43}, {25,39}, {16,38}, {3,54}, {12,36}, {2,53}, {26,28}, {12,44}, {2,37}, {12,33}, {17,34}, {21,35}, {18,49}, {27,29}, {15,47}, {7,51}, {11,31}, {21,44}, {15,48}, {1,53}, {11,41}, {9,50}, {26,32}, {15,42}, {1,34}, {22,51}, {2,50}, {6,41}, {10,53}, {21,29}, {19,36}, {6,42}, {27,44}, {21,48}, {21,51}, {19,32}, {15,51}, {23,46}, {20,34}, {20,45}, {11,37}, {23,33}, {14,42}, {10,34}, {17,53}, {8,35}, {2,40}, {8,54}, {17,45}, {18,50}, {17,37}, {16,39}, {13,28}, {26,34}, {16,52}, {7,38}, {5,42}, {15,36}, {21,36}, {15,31}, {7,44}, {27,42}, {8,28}, {9,49}, {7,43}, {19,51}, {24,42}, {20,40}, {12,54}, {4,52}, {22,47}, {26,33}, {14,53}, {27,31}, {22,32}, {9,42}, {23,41}, {25,28}, {24,33}, {10,32}, {4,39}, {13,52}, {6,50}, {14,48}, {22,28}, {1,37}, {18,42}, {5,48}, {10,49}, {25,51} }; // ETB54.84 // Bipartite(27,27) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 559872 EdgesBipt[54][83]:={ {24,34}, {18,45}, {7,48}, {10,37}, {9,32}, {5,38}, {23,29}, {26,46}, {5,43}, {23,53}, {25,47}, {22,40}, {1,49}, {25,40}, {1,40}, {17,42}, {11,43}, {2,35}, {4,31}, {26,43}, {3,35}, {24,54}, {11,53}, {14,45}, {16,37}, {19,37}, {5,32}, {15,41}, {20,52}, {2,46}, {24,48}, {10,48}, {23,44}, {2,33}, {6,32}, {4,38}, {21,53}, {3,49}, {11,35}, {10,47}, {20,38}, {22,37}, {12,28}, {21,40}, {16,48}, {23,45}, {4,30}, {16,49}, {8,30}, {7,45}, {8,46}, {8,37}, {27,28}, {8,52}, {20,49}, {23,31}, {13,30}, {23,54}, {12,42}, {6,39}, {11,39}, {22,42}, {19,48}, {27,50}, {13,47}, {27,32}, {24,50}, {26,35}, {13,42}, {9,35}, {1,29}, {6,44}, {4,49}, {1,38}, {14,32}, {2,36}, {13,41}, {16,40}, {20,42}, {26,36}, {22,34}, {27,30}, {18,29}, {1,43}, {9,39}, {8,42}, {7,54}, {18,33}, {6,51}, {3,38}, {3,43}, {15,28}, {5,28}, {24,41}, {20,41}, {14,46}, {2,39}, {9,46}, {14,35}, {27,39}, {19,38}, {3,31}, {25,33}, {1,39}, {7,37}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {25,29}, {17,29}, {8,48}, {14,54}, {22,49}, {2,44}, {1,30}, {21,45}, {12,47}, {23,40}, {18,51}, {1,47}, {26,51}, {10,36}, {2,51}, {15,37}, {10,46}, {17,51}, {14,39}, {21,31}, {11,48}, {8,47}, {8,41}, {18,38}, {17,54}, {21,37}, {3,29}, {11,52}, {17,31}, {13,36}, {26,44}, {1,51}, {13,53}, {9,54}, {12,41}, {20,54}, {20,31}, {13,45}, {4,47}, {3,44}, {23,48}, {25,49}, {21,42}, {7,35}, {19,45}, {11,46}, {25,30}, {6,30}, {7,34}, {15,52}, {15,53}, {23,51}, {25,46}, {22,31}, {22,50}, {9,30}, {24,38}, {8,53}, {3,32}, {18,44}, {22,45}, {16,41}, {7,28}, {17,44}, {19,41}, {14,52}, {10,30}, {5,40}, {4,50}, {12,45}, {15,35}, {26,31}, {6,31}, {11,32}, {17,52}, {22,53}, {10,52}, {19,50}, {14,43}, {14,37}, {10,54}, {19,53}, {19,44}, {9,41}, {16,31}, {16,45}, {25,38}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {22,52}, {24,29}, {7,52}, {19,29}, {6,43}, {8,32}, {24,51}, {10,28}, {20,48}, {4,44}, {21,49}, {17,41}, {12,43}, {23,37}, {21,52}, {22,38}, {8,36}, {5,46}, {6,47}, {13,32}, {20,50}, {27,49}, {11,30}, {3,50}, {19,33}, {16,53}, {27,47}, {4,46}, {18,52}, {25,36}, {25,39}, {2,31}, {16,38}, {1,33}, {12,36}, {26,28}, {7,47}, {5,29}, {16,50}, {12,53}, {14,30}, {21,34}, {3,28}, {12,39}, {17,34}, {27,29}, {15,47}, {22,33}, {21,44}, {20,33}, {15,48}, {26,50}, {5,51}, {13,34}, {24,52}, {11,41}, {26,32}, {15,42}, {2,50}, {23,49}, {21,29}, {17,40}, {24,44}, {12,34}, {6,28}, {27,44}, {4,35}, {21,51}, {18,53}, {5,49}, {13,54}, {20,34}, {11,37}, {2,47}, {10,34}, {16,33}, {10,45}, {2,40}, {9,45}, {18,50}, {16,54}, {13,28}, {1,28}, {15,36}, {25,35}, {8,28}, {7,43}, {19,51}, {24,42}, {26,40}, {27,43}, {20,40}, {12,54}, {9,53}, {9,43}, {26,33}, {27,31}, {9,42}, {23,41}, {5,36}, {9,34}, {24,33}, {15,43}, {13,46}, {10,32}, {4,39}, {12,35}, {7,36}, {6,50}, {14,48}, {18,42}, {6,33}, {18,34}, {17,49}, {3,46}, {19,54}, {17,48}, {18,37}, {5,33}, {25,51}, {27,38}, {6,40} }; // ETB54.85 // Bipartite(27,27) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[54][84]:={ {15,33}, {18,45}, {6,38}, {16,47}, {15,38}, {14,36}, {9,32}, {5,38}, {26,46}, {16,51}, {25,37}, {23,53}, {5,45}, {1,49}, {25,40}, {13,37}, {14,38}, {13,39}, {17,33}, {4,31}, {14,31}, {21,41}, {11,53}, {21,54}, {2,49}, {10,39}, {14,45}, {6,48}, {21,28}, {5,32}, {15,41}, {4,37}, {20,52}, {4,40}, {2,46}, {24,48}, {14,29}, {23,44}, {24,28}, {21,53}, {19,40}, {22,37}, {12,48}, {16,42}, {18,32}, {15,32}, {2,52}, {8,30}, {16,49}, {23,38}, {20,43}, {8,46}, {8,37}, {26,39}, {27,28}, {5,41}, {17,39}, {21,38}, {23,31}, {23,36}, {25,34}, {6,49}, {26,29}, {7,33}, {12,31}, {19,48}, {12,40}, {3,52}, {13,47}, {24,30}, {2,48}, {19,52}, {5,37}, {24,50}, {24,47}, {21,50}, {26,35}, {20,35}, {23,43}, {9,35}, {1,36}, {1,29}, {23,42}, {13,51}, {10,35}, {18,39}, {26,52}, {17,47}, {9,47}, {12,52}, {4,49}, {17,36}, {1,38}, {18,46}, {13,41}, {16,40}, {10,51}, {26,36}, {1,43}, {9,29}, {11,51}, {12,49}, {8,42}, {7,54}, {5,54}, {22,43}, {19,46}, {5,28}, {20,41}, {27,45}, {2,39}, {9,46}, {26,42}, {27,39}, {27,40}, {19,38}, {1,31}, {3,31}, {3,51}, {1,39}, {7,37}, {7,53}, {5,35}, {15,50}, {3,36}, {14,54}, {26,41}, {4,32}, {22,49}, {2,44}, {1,30}, {21,45}, {8,50}, {23,39}, {18,51}, {4,53}, {11,36}, {3,30}, {13,48}, {27,52}, {22,48}, {14,33}, {2,51}, {10,38}, {10,46}, {21,31}, {11,48}, {4,41}, {27,37}, {3,29}, {11,52}, {22,29}, {9,54}, {18,54}, {20,54}, {20,31}, {13,45}, {4,47}, {3,44}, {11,44}, {24,39}, {19,45}, {11,46}, {22,30}, {2,43}, {27,34}, {12,30}, {6,30}, {7,50}, {4,33}, {7,34}, {10,31}, {25,41}, {10,44}, {25,46}, {22,31}, {13,50}, {23,35}, {13,31}, {9,30}, {24,38}, {8,53}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {17,30}, {12,45}, {26,47}, {25,53}, {17,52}, {22,53}, {9,52}, {27,51}, {15,40}, {14,43}, {27,35}, {14,37}, {24,35}, {19,53}, {14,40}, {7,49}, {15,39}, {1,32}, {25,50}, {24,29}, {7,52}, {19,29}, {8,32}, {24,51}, {10,28}, {5,31}, {20,48}, {26,53}, {16,44}, {4,44}, {2,54}, {17,41}, {20,32}, {25,42}, {10,40}, {23,37}, {18,30}, {8,29}, {21,46}, {6,47}, {3,48}, {25,43}, {3,33}, {16,36}, {13,32}, {20,50}, {14,51}, {11,30}, {3,50}, {19,33}, {9,28}, {3,34}, {19,43}, {16,46}, {27,47}, {25,36}, {11,45}, {20,28}, {21,33}, {1,33}, {3,54}, {12,36}, {7,47}, {12,53}, {10,41}, {21,34}, {8,33}, {12,39}, {17,34}, {6,54}, {18,49}, {27,29}, {15,47}, {15,48}, {19,35}, {26,50}, {11,41}, {15,42}, {1,34}, {22,51}, {2,50}, {23,49}, {21,29}, {24,44}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {19,32}, {13,54}, {20,34}, {11,28}, {14,42}, {10,34}, {16,33}, {8,35}, {17,45}, {16,54}, {17,37}, {16,52}, {5,42}, {2,38}, {23,50}, {15,36}, {6,53}, {7,44}, {9,49}, {7,43}, {18,40}, {24,42}, {27,43}, {20,40}, {5,44}, {22,36}, {9,43}, {22,47}, {1,46}, {9,42}, {25,28}, {15,43}, {12,35}, {17,32}, {22,28}, {18,42}, {4,48}, {26,45}, {2,32}, {6,33}, {18,34}, {18,37}, {5,30}, {11,38}, {10,49}, {25,51}, {6,40} }; // ETB54.86 // Bipartite(27,27) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[54][85]:={ {24,34}, {7,48}, {14,36}, {23,29}, {4,28}, {25,37}, {5,43}, {1,49}, {13,39}, {26,49}, {15,54}, {2,35}, {4,31}, {26,43}, {3,35}, {21,30}, {14,31}, {24,32}, {24,54}, {21,41}, {11,53}, {2,49}, {6,48}, {3,39}, {16,37}, {16,28}, {5,32}, {15,41}, {4,37}, {20,52}, {23,44}, {10,48}, {24,28}, {13,40}, {27,54}, {6,32}, {11,35}, {20,38}, {22,37}, {26,38}, {21,40}, {4,43}, {16,42}, {16,48}, {1,52}, {2,52}, {23,45}, {16,49}, {7,45}, {8,37}, {27,28}, {24,46}, {5,41}, {8,52}, {12,38}, {23,31}, {23,54}, {13,30}, {26,29}, {7,33}, {12,31}, {20,29}, {12,40}, {27,50}, {13,47}, {15,30}, {19,52}, {24,50}, {24,47}, {21,50}, {24,31}, {13,42}, {20,35}, {1,36}, {19,42}, {12,37}, {6,46}, {16,43}, {10,35}, {18,39}, {6,44}, {17,36}, {2,29}, {5,34}, {1,38}, {18,46}, {14,32}, {2,36}, {20,36}, {22,34}, {6,34}, {9,29}, {9,39}, {11,51}, {8,42}, {18,36}, {18,33}, {6,51}, {15,28}, {20,41}, {14,46}, {27,45}, {24,40}, {3,47}, {27,39}, {1,42}, {27,40}, {19,38}, {19,47}, {1,39}, {13,49}, {2,30}, {5,53}, {5,35}, {14,34}, {15,50}, {19,49}, {8,48}, {26,41}, {1,30}, {14,28}, {23,40}, {4,53}, {11,36}, {22,48}, {21,47}, {26,51}, {10,36}, {14,33}, {20,51}, {10,38}, {15,34}, {10,46}, {11,48}, {8,47}, {4,41}, {9,38}, {27,37}, {17,54}, {3,29}, {11,52}, {17,31}, {13,36}, {26,44}, {22,29}, {12,41}, {18,54}, {11,44}, {24,39}, {23,48}, {25,49}, {21,42}, {7,35}, {11,46}, {25,30}, {5,52}, {27,34}, {12,30}, {4,33}, {7,50}, {22,44}, {25,41}, {10,29}, {17,46}, {23,51}, {22,50}, {13,50}, {23,35}, {20,30}, {8,53}, {3,32}, {22,45}, {20,44}, {25,31}, {8,34}, {17,30}, {10,30}, {25,45}, {12,45}, {17,38}, {12,29}, {25,53}, {6,31}, {11,32}, {17,52}, {27,51}, {21,32}, {15,40}, {19,50}, {14,43}, {10,52}, {15,49}, {10,54}, {19,53}, {19,44}, {18,31}, {7,49}, {1,48}, {16,45}, {25,38}, {7,39}, {4,36}, {15,39}, {9,44}, {1,54}, {7,52}, {19,29}, {6,37}, {22,39}, {24,51}, {26,53}, {19,34}, {21,49}, {17,41}, {20,32}, {18,41}, {10,40}, {23,37}, {26,30}, {7,29}, {18,30}, {14,47}, {6,47}, {3,48}, {25,43}, {3,33}, {13,32}, {1,45}, {23,32}, {14,51}, {3,50}, {9,28}, {16,53}, {19,43}, {18,28}, {4,46}, {8,43}, {25,39}, {16,38}, {1,33}, {20,53}, {3,54}, {3,45}, {12,44}, {7,47}, {4,42}, {12,53}, {21,34}, {8,33}, {5,47}, {18,49}, {27,29}, {22,33}, {11,31}, {19,35}, {26,50}, {5,51}, {11,41}, {9,50}, {21,43}, {7,42}, {2,50}, {8,44}, {6,28}, {27,44}, {21,51}, {13,33}, {18,43}, {23,46}, {15,51}, {13,54}, {11,37}, {2,47}, {14,42}, {16,33}, {17,53}, {3,40}, {8,35}, {10,45}, {2,40}, {17,45}, {9,45}, {14,41}, {17,37}, {16,39}, {26,34}, {16,52}, {7,38}, {5,42}, {2,38}, {22,35}, {21,36}, {15,31}, {8,28}, {9,49}, {26,40}, {20,40}, {5,44}, {12,54}, {25,54}, {9,53}, {4,52}, {9,43}, {22,47}, {1,46}, {27,31}, {25,28}, {5,36}, {9,34}, {24,33}, {15,43}, {13,46}, {10,32}, {6,35}, {22,28}, {2,42}, {18,42}, {4,48}, {6,33}, {2,32}, {12,51}, {3,46}, {17,48}, {9,37} }; // ETB54.87 // Bipartite(27,27) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2592 EdgesBipt[54][86]:={ {24,34}, {15,33}, {18,45}, {7,48}, {6,38}, {10,37}, {11,49}, {9,32}, {23,29}, {26,46}, {16,51}, {8,51}, {5,45}, {22,40}, {1,40}, {14,38}, {17,42}, {13,39}, {15,54}, {8,40}, {26,43}, {3,35}, {10,33}, {21,30}, {14,31}, {27,33}, {21,41}, {24,36}, {21,54}, {26,37}, {16,37}, {20,37}, {5,32}, {1,35}, {15,41}, {8,31}, {4,37}, {2,46}, {24,48}, {13,40}, {17,35}, {4,38}, {11,29}, {10,42}, {20,38}, {2,34}, {22,37}, {12,28}, {21,40}, {4,43}, {16,48}, {1,52}, {23,45}, {8,30}, {23,38}, {7,45}, {8,37}, {27,28}, {17,39}, {8,52}, {20,49}, {13,30}, {6,39}, {25,34}, {26,29}, {7,33}, {19,48}, {12,40}, {23,28}, {13,47}, {2,48}, {20,39}, {19,52}, {27,32}, {27,41}, {24,47}, {24,31}, {24,45}, {13,42}, {23,43}, {1,36}, {23,42}, {12,37}, {13,51}, {16,34}, {6,46}, {10,35}, {6,44}, {26,52}, {17,47}, {9,47}, {12,52}, {4,49}, {17,36}, {2,29}, {1,38}, {18,46}, {2,36}, {8,49}, {13,41}, {20,42}, {26,36}, {24,37}, {9,39}, {8,42}, {7,54}, {3,38}, {15,28}, {5,28}, {2,39}, {9,46}, {14,35}, {3,47}, {27,39}, {1,42}, {27,40}, {3,31}, {3,51}, {1,39}, {5,53}, {5,35}, {14,34}, {15,50}, {19,49}, {14,54}, {4,32}, {2,44}, {8,50}, {23,40}, {18,51}, {4,53}, {16,29}, {27,52}, {1,47}, {22,48}, {26,51}, {14,33}, {15,34}, {10,46}, {14,39}, {21,31}, {11,48}, {4,41}, {8,41}, {18,38}, {17,54}, {3,29}, {11,52}, {26,44}, {1,51}, {13,53}, {18,54}, {20,54}, {3,44}, {24,39}, {21,42}, {19,45}, {11,46}, {25,30}, {22,30}, {12,30}, {6,30}, {7,50}, {22,44}, {10,31}, {25,41}, {10,44}, {15,52}, {23,51}, {25,46}, {22,50}, {20,30}, {13,31}, {9,30}, {3,32}, {18,44}, {7,28}, {6,45}, {25,31}, {17,44}, {19,41}, {13,29}, {14,52}, {8,34}, {15,46}, {20,47}, {25,45}, {16,30}, {12,45}, {26,47}, {12,29}, {25,53}, {26,31}, {6,31}, {11,32}, {9,52}, {21,32}, {14,43}, {19,50}, {27,35}, {15,49}, {24,35}, {19,53}, {19,44}, {14,40}, {7,49}, {25,38}, {23,34}, {4,36}, {4,29}, {22,52}, {24,29}, {6,43}, {6,37}, {10,28}, {26,53}, {19,34}, {2,54}, {7,40}, {2,41}, {17,41}, {12,50}, {12,43}, {3,53}, {17,50}, {7,29}, {2,28}, {13,44}, {24,49}, {16,36}, {1,45}, {20,50}, {23,32}, {27,49}, {11,30}, {3,50}, {19,39}, {9,28}, {3,34}, {19,43}, {11,47}, {25,36}, {16,38}, {11,45}, {20,28}, {21,33}, {1,33}, {20,53}, {3,54}, {12,36}, {7,47}, {2,37}, {4,42}, {16,50}, {12,53}, {7,31}, {18,49}, {27,29}, {15,47}, {11,31}, {20,33}, {5,51}, {11,41}, {21,43}, {6,41}, {27,44}, {21,48}, {21,51}, {15,51}, {23,46}, {18,53}, {5,49}, {10,34}, {16,33}, {8,35}, {2,40}, {17,45}, {22,46}, {16,39}, {13,28}, {23,50}, {15,36}, {25,35}, {22,35}, {10,43}, {21,36}, {7,43}, {18,40}, {19,51}, {24,42}, {5,44}, {22,54}, {25,54}, {9,53}, {4,52}, {9,43}, {22,47}, {26,33}, {14,53}, {1,46}, {22,32}, {9,42}, {25,28}, {5,36}, {9,34}, {10,32}, {12,35}, {17,32}, {17,43}, {6,50}, {14,48}, {18,42}, {16,32}, {6,33}, {18,48}, {9,48}, {5,48}, {18,37}, {5,33}, {5,30}, {4,54}, {11,38}, {10,49}, {27,38} }; // ETB54.88 // Bipartite(27,27) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 14624633760251904 EdgesBipt[54][87]:={ {19,28}, {6,38}, {10,37}, {15,38}, {9,32}, {26,46}, {16,51}, {25,37}, {23,53}, {8,51}, {1,49}, {25,40}, {1,40}, {17,42}, {13,39}, {15,44}, {15,54}, {14,50}, {17,33}, {3,35}, {20,46}, {24,54}, {21,41}, {24,36}, {21,54}, {10,39}, {26,37}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {4,51}, {2,46}, {13,43}, {10,48}, {23,44}, {14,44}, {17,35}, {21,53}, {11,29}, {6,29}, {20,38}, {19,40}, {19,31}, {26,38}, {4,43}, {16,42}, {18,32}, {1,52}, {4,30}, {16,49}, {7,45}, {8,46}, {8,37}, {5,41}, {13,30}, {11,39}, {6,49}, {26,29}, {22,42}, {7,33}, {19,48}, {20,29}, {3,52}, {27,50}, {2,48}, {20,39}, {19,52}, {27,32}, {27,41}, {24,47}, {21,50}, {26,35}, {24,31}, {24,45}, {13,42}, {23,42}, {13,51}, {15,45}, {6,44}, {8,38}, {17,47}, {9,47}, {12,52}, {5,50}, {2,29}, {18,47}, {14,32}, {16,40}, {22,34}, {18,29}, {1,43}, {9,29}, {8,42}, {7,54}, {22,43}, {19,46}, {3,43}, {20,41}, {2,39}, {24,40}, {26,42}, {14,35}, {27,40}, {1,31}, {25,33}, {1,39}, {7,37}, {2,30}, {5,53}, {5,35}, {3,36}, {19,49}, {17,29}, {1,30}, {21,45}, {6,36}, {23,39}, {24,53}, {13,48}, {27,52}, {22,48}, {26,51}, {14,33}, {10,46}, {17,51}, {14,39}, {19,30}, {11,48}, {8,47}, {9,38}, {18,38}, {7,46}, {13,36}, {4,45}, {26,44}, {12,41}, {3,44}, {13,45}, {23,48}, {25,49}, {17,28}, {11,46}, {22,30}, {27,34}, {4,33}, {10,31}, {9,31}, {17,46}, {15,53}, {23,51}, {25,46}, {23,35}, {20,30}, {5,39}, {24,38}, {8,53}, {3,32}, {22,45}, {7,28}, {6,45}, {25,31}, {17,44}, {10,30}, {20,47}, {25,45}, {12,45}, {26,47}, {4,34}, {17,38}, {15,35}, {6,31}, {11,32}, {9,52}, {21,32}, {15,40}, {10,52}, {15,49}, {24,35}, {18,31}, {7,49}, {1,48}, {9,41}, {16,31}, {16,45}, {3,41}, {4,36}, {22,52}, {24,29}, {22,39}, {10,28}, {20,48}, {26,53}, {19,34}, {7,40}, {2,41}, {12,50}, {12,43}, {20,32}, {3,53}, {25,42}, {18,41}, {10,40}, {2,28}, {8,29}, {21,52}, {24,49}, {6,47}, {16,36}, {20,50}, {23,32}, {14,51}, {27,49}, {11,30}, {3,50}, {19,39}, {3,34}, {19,43}, {16,46}, {15,29}, {11,47}, {27,47}, {18,52}, {25,36}, {20,28}, {3,54}, {12,36}, {3,45}, {26,28}, {12,44}, {2,37}, {4,42}, {12,53}, {14,30}, {21,34}, {7,31}, {8,33}, {21,35}, {6,54}, {18,49}, {27,29}, {15,47}, {22,33}, {7,51}, {21,44}, {5,51}, {13,34}, {11,41}, {9,50}, {1,34}, {22,51}, {21,43}, {7,42}, {2,50}, {24,44}, {12,34}, {8,44}, {23,30}, {13,33}, {18,43}, {13,54}, {11,37}, {23,33}, {11,28}, {2,47}, {14,42}, {10,34}, {16,33}, {17,53}, {8,35}, {18,50}, {14,41}, {16,54}, {17,37}, {1,28}, {5,42}, {2,38}, {23,50}, {12,32}, {15,36}, {10,43}, {21,36}, {15,31}, {6,53}, {8,28}, {9,49}, {18,40}, {9,40}, {27,43}, {5,44}, {22,54}, {12,54}, {25,54}, {4,52}, {22,36}, {9,43}, {26,33}, {14,53}, {1,46}, {27,31}, {23,41}, {25,28}, {9,34}, {4,39}, {12,35}, {7,36}, {6,35}, {11,50}, {13,52}, {14,48}, {1,37}, {4,48}, {2,32}, {18,34}, {5,48}, {5,33}, {5,30}, {4,54}, {11,38}, {10,49}, {25,51}, {27,38}, {6,40} }; // ETB54.89 // Bipartite(27,27) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13060694016 EdgesBipt[54][88]:={ {24,34}, {19,28}, {11,40}, {16,47}, {27,48}, {14,36}, {9,32}, {26,46}, {5,43}, {25,47}, {5,45}, {1,49}, {13,37}, {17,42}, {15,54}, {14,50}, {2,35}, {8,40}, {3,35}, {10,33}, {21,30}, {24,54}, {27,33}, {24,36}, {21,54}, {10,39}, {14,45}, {20,37}, {1,35}, {4,51}, {15,41}, {8,31}, {4,37}, {24,28}, {4,38}, {21,53}, {3,49}, {11,35}, {11,29}, {6,29}, {20,38}, {2,34}, {19,31}, {22,37}, {12,48}, {16,42}, {18,32}, {23,45}, {4,30}, {12,46}, {9,33}, {8,46}, {27,28}, {24,46}, {8,52}, {21,38}, {12,38}, {7,41}, {13,30}, {23,54}, {12,42}, {6,39}, {23,36}, {22,42}, {20,29}, {2,48}, {5,37}, {27,32}, {27,41}, {24,50}, {24,45}, {13,42}, {20,35}, {23,43}, {1,29}, {13,51}, {6,46}, {15,45}, {10,35}, {18,39}, {26,52}, {17,47}, {5,50}, {4,49}, {2,29}, {1,38}, {25,52}, {10,51}, {27,30}, {6,34}, {1,43}, {12,49}, {9,39}, {11,51}, {8,42}, {18,33}, {5,54}, {3,38}, {3,43}, {15,28}, {24,41}, {20,41}, {24,40}, {26,42}, {14,35}, {3,47}, {27,39}, {7,32}, {27,40}, {19,38}, {1,31}, {1,39}, {13,49}, {7,53}, {2,30}, {5,35}, {15,50}, {3,36}, {19,49}, {25,29}, {14,54}, {25,44}, {22,49}, {2,44}, {12,47}, {6,36}, {24,53}, {4,53}, {16,29}, {3,30}, {21,47}, {14,33}, {2,51}, {20,51}, {10,38}, {15,34}, {11,48}, {8,47}, {27,37}, {17,54}, {8,45}, {17,31}, {4,45}, {26,44}, {1,51}, {13,53}, {25,32}, {26,54}, {11,44}, {13,45}, {24,39}, {23,48}, {11,34}, {21,42}, {17,28}, {22,30}, {5,52}, {12,30}, {4,33}, {7,50}, {10,31}, {9,31}, {25,41}, {10,44}, {10,29}, {17,46}, {15,53}, {23,51}, {22,50}, {13,50}, {23,35}, {20,30}, {9,30}, {22,45}, {16,41}, {6,45}, {20,44}, {25,31}, {17,44}, {8,34}, {14,52}, {15,46}, {4,50}, {23,47}, {26,47}, {25,53}, {26,31}, {11,32}, {17,52}, {22,53}, {15,40}, {3,42}, {14,43}, {14,37}, {1,44}, {13,38}, {19,44}, {18,31}, {9,41}, {16,31}, {7,39}, {15,39}, {22,52}, {25,50}, {24,29}, {7,52}, {19,29}, {8,32}, {10,28}, {20,48}, {19,34}, {16,44}, {21,49}, {2,41}, {12,43}, {20,32}, {3,53}, {25,42}, {18,41}, {23,37}, {7,29}, {18,30}, {14,47}, {22,38}, {21,46}, {23,52}, {3,48}, {16,36}, {14,51}, {27,49}, {11,30}, {19,33}, {19,39}, {9,28}, {16,53}, {19,43}, {18,28}, {15,29}, {4,46}, {25,36}, {25,39}, {1,33}, {3,54}, {12,36}, {26,28}, {7,47}, {2,37}, {4,42}, {16,50}, {12,53}, {7,31}, {5,47}, {17,34}, {6,54}, {21,35}, {18,49}, {22,33}, {19,35}, {5,51}, {11,41}, {26,32}, {1,34}, {22,51}, {21,43}, {7,42}, {6,41}, {17,40}, {8,44}, {6,28}, {21,48}, {13,33}, {18,43}, {20,34}, {11,37}, {23,33}, {10,34}, {2,40}, {8,54}, {17,45}, {22,46}, {16,39}, {1,28}, {26,34}, {16,52}, {2,38}, {23,50}, {15,36}, {10,43}, {21,36}, {6,53}, {7,44}, {8,28}, {9,49}, {18,40}, {9,40}, {19,51}, {26,40}, {27,43}, {20,40}, {12,54}, {4,52}, {9,43}, {27,31}, {5,36}, {13,46}, {12,35}, {7,36}, {17,32}, {13,52}, {6,50}, {14,48}, {16,32}, {26,45}, {2,32}, {18,48}, {3,46}, {9,48}, {5,48}, {18,37}, {5,33}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB54.90 // Bipartite(27,27) Valencies [13,13] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2106 EdgesBipt[54][89]:={ {24,34}, {18,45}, {6,52}, {11,40}, {16,47}, {27,48}, {23,29}, {4,28}, {25,47}, {8,51}, {5,45}, {1,49}, {1,40}, {14,38}, {17,42}, {14,50}, {2,35}, {17,33}, {4,31}, {8,40}, {26,43}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {24,54}, {27,33}, {21,54}, {26,37}, {14,45}, {16,37}, {19,37}, {3,39}, {20,37}, {5,32}, {4,51}, {1,35}, {15,41}, {24,28}, {13,40}, {27,54}, {2,33}, {4,38}, {3,49}, {11,35}, {10,42}, {6,29}, {27,36}, {10,47}, {19,40}, {12,28}, {19,31}, {12,48}, {15,32}, {16,49}, {23,38}, {12,46}, {8,46}, {26,39}, {27,28}, {17,39}, {8,52}, {12,38}, {7,41}, {13,30}, {12,42}, {6,39}, {23,36}, {25,34}, {26,29}, {20,29}, {24,30}, {2,48}, {15,30}, {20,39}, {19,52}, {5,37}, {27,41}, {24,50}, {24,47}, {24,45}, {20,35}, {1,36}, {1,29}, {23,42}, {12,37}, {6,46}, {18,39}, {9,47}, {12,52}, {4,49}, {5,50}, {5,34}, {14,32}, {2,36}, {20,36}, {25,52}, {20,42}, {10,51}, {26,36}, {22,34}, {6,34}, {1,43}, {11,51}, {9,39}, {7,54}, {5,54}, {18,36}, {6,51}, {22,43}, {3,38}, {19,46}, {3,43}, {15,28}, {27,45}, {2,39}, {14,35}, {7,32}, {19,38}, {1,31}, {19,47}, {3,51}, {7,37}, {7,53}, {5,53}, {11,42}, {2,30}, {15,50}, {3,36}, {25,29}, {8,48}, {26,41}, {4,32}, {2,44}, {8,50}, {14,28}, {23,40}, {18,51}, {24,53}, {16,29}, {13,48}, {27,52}, {26,51}, {10,36}, {14,33}, {15,37}, {15,34}, {10,46}, {14,39}, {21,31}, {11,48}, {8,47}, {17,54}, {21,37}, {17,31}, {13,36}, {1,41}, {1,51}, {13,53}, {22,29}, {25,32}, {9,54}, {20,54}, {26,54}, {11,44}, {13,45}, {4,47}, {20,31}, {23,48}, {11,34}, {2,43}, {22,30}, {27,34}, {6,30}, {4,33}, {22,44}, {10,31}, {9,31}, {25,41}, {10,44}, {17,46}, {22,50}, {23,35}, {13,31}, {9,30}, {24,38}, {8,53}, {3,32}, {16,41}, {7,28}, {25,31}, {13,29}, {14,52}, {15,46}, {10,30}, {5,40}, {20,47}, {23,47}, {25,45}, {16,30}, {12,45}, {26,47}, {4,34}, {17,38}, {12,29}, {25,53}, {9,52}, {21,32}, {11,54}, {15,40}, {3,42}, {27,35}, {14,37}, {1,44}, {13,38}, {15,49}, {24,35}, {19,53}, {19,44}, {18,31}, {14,40}, {7,49}, {24,43}, {16,45}, {22,41}, {4,29}, {9,44}, {22,52}, {7,52}, {8,32}, {22,39}, {24,51}, {26,48}, {19,34}, {16,44}, {4,44}, {21,49}, {12,50}, {17,41}, {12,43}, {25,42}, {17,50}, {27,46}, {18,30}, {2,28}, {21,52}, {22,38}, {21,46}, {23,52}, {25,43}, {13,32}, {10,50}, {20,50}, {27,49}, {11,30}, {19,33}, {9,28}, {3,34}, {16,53}, {19,43}, {16,46}, {18,52}, {16,38}, {20,28}, {21,33}, {3,45}, {2,53}, {12,44}, {7,47}, {2,37}, {5,29}, {10,41}, {21,35}, {18,49}, {15,47}, {7,51}, {11,31}, {15,48}, {1,53}, {11,41}, {21,43}, {7,42}, {6,41}, {23,49}, {21,29}, {8,44}, {19,36}, {23,30}, {6,28}, {6,42}, {27,44}, {21,51}, {18,53}, {5,49}, {13,54}, {20,34}, {1,50}, {11,37}, {23,33}, {16,35}, {17,53}, {3,40}, {8,35}, {10,45}, {8,54}, {9,45}, {14,41}, {18,50}, {16,39}, {13,28}, {1,28}, {7,38}, {5,42}, {23,50}, {25,35}, {6,53}, {9,49}, {9,40}, {26,40}, {5,44}, {22,54}, {22,36}, {9,43}, {26,33}, {8,39}, {22,32}, {9,42}, {24,33}, {15,43}, {13,46}, {10,32}, {4,39}, {25,48}, {7,36}, {17,43}, {2,42}, {4,48}, {26,45}, {2,32}, {6,33}, {18,34}, {18,48}, {17,49}, {12,51}, {3,46}, {17,48}, {18,37}, {5,33}, {11,38}, {6,40} }; // ETB54.91 // Bipartite(12,42) Valencies [14,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12587643619642441728000000 EdgesBipt[54][90]:={ {6,48}, {2,44}, {11,17}, {11,53}, {3,33}, {5,17}, {1,20}, {9,28}, {2,33}, {11,36}, {11,35}, {3,22}, {3,40}, {4,16}, {4,53}, {1,13}, {9,45}, {2,51}, {7,38}, {4,29}, {1,32}, {3,45}, {8,33}, {3,15}, {10,23}, {7,44}, {2,15}, {1,19}, {2,27}, {12,42}, {5,47}, {2,26}, {8,39}, {11,41}, {3,52}, {2,14}, {8,15}, {8,44}, {4,23}, {8,27}, {12,37}, {10,22}, {10,53}, {2,45}, {3,34}, {3,46}, {6,31}, {1,38}, {1,50}, {4,22}, {10,47}, {7,20}, {9,27}, {12,36}, {1,44}, {4,41}, {5,29}, {2,38}, {12,49}, {10,52}, {8,14}, {8,45}, {2,39}, {7,32}, {1,31}, {10,41}, {7,49}, {7,13}, {7,43}, {10,28}, {7,25}, {12,13}, {6,30}, {4,47}, {6,43}, {5,23}, {10,29}, {9,34}, {6,49}, {3,51}, {2,20}, {6,18}, {4,52}, {10,40}, {12,43}, {7,50}, {3,39}, {4,35}, {7,26}, {2,32}, {5,18}, {11,23}, {6,24}, {11,29}, {5,30}, {11,30}, {5,24}, {12,25}, {5,48}, {7,14}, {3,27}, {9,51}, {10,46}, {4,28}, {1,43}, {4,46}, {8,26}, {5,42}, {9,22}, {7,31}, {11,54}, {5,41}, {9,40}, {5,54}, {8,32}, {8,21}, {11,24}, {1,49}, {12,19}, {12,30}, {5,36}, {3,21}, {1,25}, {6,19}, {6,54}, {1,37}, {3,16}, {6,42}, {4,40}, {10,35}, {6,36}, {2,21}, {10,17}, {8,38}, {1,26}, {4,34}, {10,34}, {8,50}, {6,25}, {9,33}, {11,47}, {9,39}, {12,48}, {9,52}, {11,48}, {3,28}, {8,20}, {12,24}, {1,14}, {9,46}, {8,51}, {6,37}, {12,31}, {9,15}, {6,13}, {7,37}, {5,35}, {7,19}, {4,17}, {9,21}, {9,16}, {11,42}, {12,54}, {12,18}, {11,18}, {5,53}, {2,50}, {10,16} }; // ETB54.92 // Bipartite(12,42) Valencies [14,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 786727726227652608000000 EdgesBipt[54][91]:={ {2,44}, {8,48}, {3,33}, {11,20}, {2,46}, {12,29}, {5,34}, {4,24}, {4,16}, {4,30}, {11,25}, {8,30}, {7,48}, {6,17}, {1,13}, {12,22}, {8,42}, {8,54}, {3,45}, {3,13}, {3,43}, {3,25}, {3,15}, {7,54}, {10,26}, {12,41}, {10,33}, {1,19}, {3,37}, {2,26}, {11,14}, {12,35}, {7,36}, {10,44}, {9,53}, {2,28}, {12,34}, {2,14}, {9,35}, {8,44}, {11,50}, {10,15}, {6,29}, {6,47}, {6,21}, {5,40}, {11,38}, {2,34}, {1,17}, {9,48}, {9,47}, {5,22}, {4,22}, {10,38}, {9,29}, {3,49}, {12,17}, {2,38}, {12,46}, {11,49}, {2,52}, {8,14}, {4,42}, {9,41}, {11,13}, {1,31}, {7,49}, {7,13}, {7,43}, {11,31}, {7,25}, {11,44}, {12,16}, {9,54}, {3,51}, {10,21}, {9,42}, {2,20}, {4,52}, {1,29}, {7,30}, {2,16}, {3,39}, {8,36}, {6,33}, {2,32}, {1,23}, {12,47}, {4,48}, {5,46}, {12,28}, {3,27}, {4,54}, {4,28}, {10,45}, {6,23}, {1,43}, {4,46}, {5,28}, {8,26}, {10,51}, {7,31}, {6,15}, {4,36}, {6,51}, {8,32}, {3,19}, {12,23}, {6,27}, {1,49}, {12,40}, {12,53}, {10,32}, {3,21}, {1,25}, {5,51}, {1,53}, {6,41}, {9,30}, {10,39}, {1,35}, {1,37}, {5,39}, {11,26}, {4,40}, {5,33}, {9,18}, {11,37}, {10,27}, {8,38}, {6,45}, {2,22}, {4,34}, {8,50}, {11,32}, {9,17}, {8,24}, {1,47}, {2,40}, {10,50}, {9,36}, {12,52}, {5,27}, {8,18}, {4,18}, {11,19}, {8,20}, {1,41}, {5,45}, {7,24}, {3,31}, {9,24}, {10,20}, {6,39}, {5,15}, {10,14}, {11,43}, {5,21}, {6,53}, {7,37}, {7,19}, {6,35}, {7,42}, {9,23}, {5,52}, {2,50}, {7,18}, {5,16} }; // ETB54.93 // Bipartite(9,45) Valencies [15,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 557256278016000000000 EdgesBipt[54][92]:={ {7,19}, {7,48}, {7,39}, {9,52}, {3,15}, {1,43}, {8,24}, {8,31}, {2,38}, {4,42}, {6,18}, {5,52}, {5,30}, {6,36}, {8,51}, {3,46}, {6,17}, {4,27}, {1,31}, {2,11}, {4,48}, {1,46}, {9,45}, {1,40}, {2,20}, {5,34}, {1,25}, {6,13}, {2,47}, {3,32}, {6,40}, {3,50}, {8,42}, {3,10}, {6,45}, {1,52}, {8,13}, {3,51}, {6,22}, {5,21}, {2,29}, {3,19}, {4,12}, {6,54}, {8,22}, {3,41}, {6,53}, {7,28}, {8,15}, {1,34}, {7,10}, {2,14}, {2,41}, {9,27}, {2,23}, {1,10}, {6,49}, {7,26}, {8,33}, {9,43}, {4,39}, {1,22}, {2,50}, {2,32}, {1,16}, {8,47}, {4,33}, {2,17}, {9,34}, {3,14}, {5,43}, {9,23}, {7,53}, {3,23}, {4,45}, {5,29}, {4,30}, {6,26}, {1,19}, {8,11}, {4,36}, {4,21}, {7,30}, {2,35}, {9,25}, {9,54}, {4,15}, {2,53}, {2,44}, {8,40}, {7,35}, {6,31}, {3,42}, {4,51}, {5,38}, {7,44}, {8,38}, {5,20}, {5,47}, {1,49}, {3,28}, {3,24}, {8,20}, {5,48}, {9,18}, {8,49}, {1,37}, {4,54}, {5,11}, {1,13}, {4,18}, {2,26}, {7,46}, {7,37}, {7,21}, {5,12}, {9,14}, {1,28}, {9,41}, {3,37}, {6,35}, {9,32}, {6,44}, {9,36}, {6,27}, {9,16}, {3,33}, {7,17}, {9,50}, {5,16}, {5,39}, {7,12}, {5,25}, {4,24}, {8,29} }; // ETB54.94 // Bipartite(24,30) Valencies [15,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19258776968232960000000000 EdgesBipt[54][93]:={ {24,34}, {15,33}, {6,52}, {6,38}, {10,37}, {16,47}, {15,38}, {6,25}, {23,29}, {19,26}, {4,28}, {5,43}, {23,53}, {5,45}, {3,26}, {22,40}, {1,49}, {13,37}, {14,38}, {17,42}, {13,39}, {15,44}, {14,50}, {17,33}, {8,40}, {3,35}, {20,46}, {21,30}, {14,31}, {15,27}, {24,54}, {24,36}, {11,53}, {2,49}, {21,54}, {3,39}, {16,28}, {15,41}, {4,40}, {20,52}, {2,46}, {13,43}, {24,48}, {13,27}, {23,44}, {24,28}, {14,44}, {6,32}, {11,35}, {11,29}, {11,27}, {2,34}, {12,28}, {22,37}, {2,25}, {12,48}, {16,42}, {18,32}, {16,48}, {15,32}, {2,52}, {23,45}, {4,30}, {8,30}, {23,38}, {12,46}, {9,33}, {7,45}, {8,46}, {24,46}, {17,39}, {8,52}, {7,41}, {13,30}, {7,27}, {12,42}, {11,39}, {6,49}, {10,26}, {7,33}, {12,40}, {20,29}, {24,30}, {22,25}, {5,37}, {24,47}, {13,42}, {20,35}, {1,36}, {16,34}, {13,51}, {6,46}, {15,45}, {6,44}, {12,52}, {17,36}, {18,46}, {14,32}, {20,36}, {16,40}, {20,42}, {22,34}, {9,36}, {6,34}, {1,43}, {11,51}, {9,39}, {8,42}, {18,26}, {5,54}, {22,43}, {3,38}, {5,27}, {24,41}, {14,46}, {20,41}, {24,40}, {3,47}, {1,42}, {7,32}, {19,38}, {1,31}, {19,47}, {3,51}, {1,39}, {13,49}, {7,53}, {14,34}, {15,50}, {8,48}, {22,49}, {2,44}, {1,30}, {21,45}, {19,27}, {14,28}, {12,47}, {23,39}, {24,53}, {4,53}, {16,29}, {13,48}, {9,51}, {22,26}, {10,38}, {10,46}, {11,33}, {13,25}, {21,25}, {17,51}, {21,31}, {8,47}, {4,41}, {8,41}, {18,38}, {17,54}, {21,37}, {3,29}, {17,31}, {13,36}, {1,51}, {9,54}, {12,41}, {20,54}, {11,44}, {13,45}, {4,47}, {3,44}, {21,42}, {7,35}, {19,45}, {2,43}, {12,30}, {7,50}, {22,44}, {10,31}, {9,31}, {10,44}, {18,25}, {15,53}, {23,51}, {1,25}, {22,31}, {22,50}, {23,35}, {20,30}, {13,31}, {9,30}, {5,39}, {8,53}, {3,32}, {18,44}, {16,41}, {19,41}, {8,34}, {14,52}, {9,25}, {17,30}, {20,47}, {23,47}, {16,30}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {10,52}, {14,43}, {19,50}, {14,37}, {23,27}, {24,35}, {19,53}, {18,31}, {19,44}, {14,40}, {1,48}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,54}, {22,52}, {24,29}, {21,39}, {19,29}, {6,43}, {6,37}, {10,28}, {5,31}, {17,25}, {20,48}, {21,49}, {2,26}, {3,53}, {10,40}, {7,29}, {2,28}, {8,29}, {22,38}, {8,36}, {3,33}, {16,36}, {14,26}, {1,45}, {10,50}, {23,32}, {3,50}, {19,33}, {19,39}, {16,53}, {18,28}, {16,46}, {15,29}, {11,47}, {4,46}, {18,52}, {2,31}, {11,45}, {1,33}, {20,28}, {21,33}, {20,53}, {12,36}, {3,45}, {7,47}, {2,37}, {4,42}, {12,53}, {18,49}, {15,47}, {14,49}, {7,51}, {19,35}, {5,51}, {24,52}, {11,41}, {6,26}, {21,43}, {2,50}, {21,27}, {12,34}, {6,28}, {4,35}, {21,48}, {21,51}, {19,32}, {13,33}, {18,43}, {15,51}, {14,25}, {5,49}, {13,54}, {20,34}, {7,26}, {23,33}, {16,35}, {10,34}, {17,27}, {8,35}, {2,40}, {8,54}, {17,45}, {9,45}, {18,50}, {16,54}, {22,46}, {17,37}, {16,52}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {23,50}, {10,43}, {21,36}, {7,44}, {8,28}, {9,49}, {18,40}, {19,51}, {24,42}, {20,40}, {1,27}, {5,25}, {12,54}, {15,26}, {4,52}, {9,43}, {22,32}, {9,42}, {23,41}, {5,36}, {10,32}, {12,35}, {11,50}, {23,26}, {17,43}, {6,50}, {22,28}, {1,37}, {4,48}, {2,32}, {18,34}, {17,49}, {11,26}, {9,48}, {17,48}, {5,48}, {18,37}, {5,33}, {5,30}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB54.95 // Bipartite(24,30) Valencies [15,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 240734712102912000000 EdgesBipt[54][94]:={ {24,34}, {6,52}, {7,48}, {6,38}, {10,37}, {11,49}, {23,29}, {19,26}, {11,25}, {23,53}, {5,45}, {3,26}, {8,26}, {22,40}, {1,49}, {14,38}, {13,39}, {11,43}, {15,54}, {14,50}, {2,35}, {17,33}, {4,31}, {8,40}, {24,32}, {24,54}, {21,41}, {24,36}, {2,49}, {14,45}, {3,39}, {19,37}, {20,37}, {16,28}, {21,28}, {1,35}, {7,30}, {15,41}, {4,37}, {24,48}, {13,27}, {10,48}, {24,28}, {13,40}, {14,44}, {6,32}, {17,35}, {4,38}, {3,49}, {21,53}, {10,42}, {11,27}, {10,47}, {20,38}, {20,26}, {19,31}, {2,25}, {12,48}, {4,43}, {21,40}, {16,42}, {16,48}, {4,30}, {8,30}, {9,33}, {20,43}, {8,46}, {24,46}, {5,41}, {17,39}, {8,52}, {12,38}, {7,41}, {20,49}, {12,26}, {23,54}, {12,42}, {6,39}, {23,36}, {11,39}, {12,31}, {23,28}, {13,47}, {24,30}, {2,48}, {15,30}, {24,50}, {18,35}, {9,35}, {1,29}, {23,42}, {12,37}, {13,51}, {16,34}, {6,46}, {10,35}, {6,44}, {24,26}, {8,38}, {17,47}, {9,47}, {4,49}, {2,29}, {5,34}, {18,47}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {22,34}, {18,29}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {7,54}, {18,36}, {6,51}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {14,46}, {24,40}, {19,38}, {1,31}, {3,31}, {3,51}, {1,39}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {14,34}, {19,49}, {17,29}, {8,48}, {20,25}, {4,32}, {21,45}, {19,27}, {8,50}, {14,28}, {23,40}, {9,51}, {1,47}, {21,47}, {22,26}, {10,36}, {14,33}, {15,34}, {11,33}, {17,51}, {14,39}, {7,46}, {17,31}, {1,41}, {1,51}, {13,53}, {18,54}, {20,54}, {11,44}, {13,45}, {3,44}, {20,31}, {3,25}, {23,48}, {7,35}, {19,45}, {2,43}, {5,52}, {12,30}, {22,44}, {7,34}, {10,31}, {9,31}, {10,29}, {18,25}, {15,52}, {15,53}, {1,25}, {22,50}, {23,35}, {20,30}, {5,39}, {24,38}, {3,32}, {14,27}, {22,45}, {7,28}, {6,45}, {20,44}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {10,30}, {5,40}, {4,50}, {23,47}, {16,30}, {10,25}, {15,35}, {11,32}, {16,26}, {12,25}, {15,40}, {19,50}, {10,54}, {18,31}, {19,44}, {14,40}, {9,41}, {23,34}, {4,36}, {22,52}, {21,39}, {7,52}, {8,32}, {22,39}, {17,25}, {20,48}, {16,44}, {4,44}, {2,54}, {7,40}, {2,41}, {17,41}, {12,50}, {12,43}, {20,32}, {18,41}, {7,29}, {18,30}, {21,52}, {22,38}, {8,36}, {21,46}, {23,52}, {5,46}, {3,33}, {16,36}, {14,26}, {1,45}, {20,50}, {14,51}, {3,50}, {19,33}, {19,39}, {19,43}, {16,46}, {15,29}, {2,31}, {16,38}, {11,45}, {1,33}, {21,33}, {12,36}, {3,45}, {2,53}, {12,44}, {19,25}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {4,25}, {21,34}, {5,47}, {21,35}, {18,49}, {15,47}, {22,33}, {11,31}, {15,48}, {1,53}, {5,51}, {13,34}, {24,52}, {6,26}, {15,42}, {22,27}, {22,51}, {13,35}, {7,42}, {21,27}, {10,53}, {21,29}, {24,44}, {8,44}, {23,30}, {6,28}, {21,51}, {19,32}, {13,33}, {18,43}, {23,46}, {18,53}, {11,37}, {2,47}, {17,53}, {17,27}, {8,54}, {17,45}, {9,45}, {4,26}, {16,54}, {22,46}, {17,37}, {13,28}, {16,52}, {3,27}, {9,27}, {12,32}, {15,36}, {10,43}, {8,28}, {9,49}, {19,51}, {24,42}, {1,27}, {12,54}, {9,53}, {9,43}, {3,37}, {22,32}, {23,41}, {13,46}, {7,36}, {11,50}, {13,52}, {17,43}, {6,50}, {22,28}, {1,37}, {2,42}, {18,42}, {16,32}, {4,48}, {6,33}, {17,49}, {18,48}, {11,26}, {5,33}, {18,37}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB54.96 // Bipartite(24,30) Valencies [15,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 693315970856386560 EdgesBipt[54][95]:={ {24,34}, {6,52}, {7,48}, {19,28}, {11,40}, {14,36}, {9,32}, {5,38}, {5,43}, {23,53}, {8,51}, {8,26}, {22,40}, {1,49}, {13,37}, {14,38}, {13,39}, {11,43}, {17,33}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {15,27}, {24,32}, {24,54}, {21,41}, {24,36}, {11,53}, {2,49}, {10,39}, {19,37}, {1,35}, {15,41}, {8,31}, {4,40}, {20,52}, {2,46}, {13,27}, {14,29}, {23,44}, {6,32}, {20,38}, {20,26}, {4,43}, {21,40}, {18,32}, {15,32}, {2,52}, {4,30}, {16,49}, {23,38}, {12,46}, {7,45}, {8,46}, {24,46}, {5,41}, {8,52}, {20,49}, {23,31}, {12,26}, {23,54}, {7,27}, {12,42}, {10,26}, {3,52}, {19,48}, {20,29}, {23,28}, {13,47}, {2,48}, {15,30}, {20,39}, {22,25}, {24,47}, {21,50}, {16,25}, {23,43}, {9,35}, {1,29}, {12,37}, {6,46}, {16,43}, {10,35}, {15,45}, {6,44}, {24,26}, {8,38}, {9,47}, {12,52}, {4,49}, {5,50}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {14,32}, {2,36}, {8,49}, {20,36}, {16,40}, {20,42}, {24,37}, {6,34}, {11,51}, {8,42}, {18,26}, {7,54}, {5,54}, {18,33}, {18,36}, {22,43}, {5,28}, {14,46}, {20,41}, {2,39}, {3,47}, {19,38}, {3,31}, {12,27}, {19,47}, {3,51}, {1,39}, {13,49}, {7,37}, {6,27}, {5,53}, {15,50}, {19,49}, {8,48}, {22,49}, {21,45}, {19,27}, {14,28}, {12,47}, {6,36}, {23,40}, {24,53}, {4,53}, {16,29}, {3,30}, {13,48}, {9,51}, {1,47}, {21,47}, {22,26}, {10,36}, {2,51}, {15,37}, {20,51}, {10,46}, {11,33}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {11,48}, {8,41}, {17,54}, {21,37}, {17,31}, {4,45}, {22,29}, {18,54}, {11,44}, {13,45}, {20,31}, {3,25}, {23,48}, {11,34}, {17,28}, {21,42}, {7,35}, {19,45}, {22,30}, {4,33}, {7,34}, {9,31}, {10,29}, {15,52}, {23,51}, {1,25}, {22,50}, {9,30}, {3,32}, {18,44}, {22,45}, {7,28}, {17,44}, {13,29}, {14,52}, {9,25}, {17,30}, {10,30}, {5,40}, {4,50}, {16,30}, {10,25}, {15,35}, {17,38}, {22,53}, {9,52}, {21,32}, {16,26}, {11,54}, {15,40}, {3,42}, {1,44}, {13,38}, {19,44}, {7,49}, {1,48}, {24,43}, {9,41}, {16,45}, {7,39}, {3,41}, {23,34}, {4,36}, {4,29}, {1,54}, {19,29}, {6,43}, {6,37}, {8,32}, {22,39}, {24,27}, {5,31}, {20,48}, {19,34}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {17,50}, {10,40}, {7,29}, {2,28}, {8,29}, {21,52}, {8,36}, {13,44}, {6,47}, {16,36}, {14,26}, {1,45}, {10,50}, {14,51}, {11,30}, {3,50}, {19,39}, {16,53}, {16,46}, {4,46}, {18,52}, {2,31}, {18,27}, {20,28}, {12,36}, {3,45}, {12,44}, {19,25}, {7,47}, {16,50}, {12,53}, {4,25}, {12,33}, {17,34}, {6,54}, {21,35}, {15,47}, {14,49}, {22,33}, {11,31}, {19,35}, {5,51}, {13,34}, {24,52}, {11,41}, {7,25}, {9,50}, {6,26}, {15,42}, {1,34}, {13,35}, {21,27}, {10,53}, {17,40}, {24,44}, {12,34}, {23,30}, {6,42}, {4,35}, {21,51}, {18,43}, {15,51}, {18,53}, {13,54}, {23,33}, {11,28}, {16,35}, {14,42}, {16,33}, {17,53}, {3,40}, {10,45}, {9,45}, {14,41}, {4,26}, {22,46}, {16,39}, {13,28}, {1,28}, {3,27}, {9,27}, {7,38}, {2,38}, {23,50}, {12,32}, {22,35}, {10,43}, {15,31}, {6,53}, {7,44}, {8,28}, {9,40}, {24,42}, {1,27}, {5,44}, {12,54}, {22,36}, {3,37}, {8,39}, {9,42}, {23,41}, {24,33}, {4,39}, {11,50}, {17,43}, {14,48}, {1,37}, {2,42}, {18,42}, {6,33}, {2,32}, {18,34}, {19,54}, {17,48}, {5,48}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {10,49}, {9,37} }; // ETB54.97 // Bipartite(24,30) Valencies [15,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29720334827520 EdgesBipt[54][96]:={ {24,34}, {15,33}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {16,47}, {15,38}, {9,32}, {6,25}, {16,51}, {11,25}, {23,53}, {8,51}, {3,26}, {22,40}, {13,37}, {11,43}, {14,50}, {2,35}, {4,31}, {21,30}, {24,32}, {24,54}, {11,53}, {2,49}, {14,45}, {6,48}, {16,37}, {20,37}, {1,35}, {4,51}, {15,41}, {8,31}, {4,37}, {13,43}, {24,48}, {13,27}, {14,29}, {10,48}, {24,28}, {14,44}, {11,35}, {10,42}, {2,34}, {12,28}, {19,31}, {2,25}, {12,48}, {21,40}, {16,42}, {1,52}, {15,32}, {23,45}, {16,49}, {20,43}, {8,37}, {5,41}, {17,39}, {12,38}, {7,41}, {20,49}, {23,31}, {12,42}, {23,36}, {10,26}, {22,42}, {7,33}, {3,52}, {19,48}, {20,29}, {17,26}, {13,47}, {20,39}, {24,47}, {21,50}, {18,35}, {13,42}, {20,35}, {23,43}, {9,35}, {12,37}, {6,44}, {9,47}, {12,52}, {4,49}, {5,50}, {17,36}, {2,29}, {5,34}, {1,38}, {8,49}, {22,34}, {24,37}, {9,36}, {6,34}, {1,43}, {12,49}, {11,51}, {7,54}, {5,54}, {18,33}, {3,38}, {3,43}, {15,28}, {20,41}, {2,39}, {9,46}, {14,35}, {1,42}, {19,38}, {3,31}, {12,27}, {3,51}, {7,53}, {2,30}, {14,34}, {3,36}, {19,49}, {17,29}, {14,54}, {20,25}, {4,32}, {2,44}, {21,45}, {12,47}, {23,40}, {16,29}, {11,36}, {13,48}, {1,47}, {22,48}, {21,47}, {22,26}, {10,36}, {20,51}, {10,38}, {10,46}, {11,33}, {13,25}, {21,25}, {17,51}, {14,39}, {8,47}, {4,41}, {8,41}, {9,26}, {18,38}, {17,54}, {21,37}, {8,45}, {17,31}, {13,53}, {18,54}, {4,47}, {13,45}, {20,31}, {24,39}, {21,42}, {11,46}, {22,30}, {2,27}, {6,30}, {22,44}, {7,34}, {10,44}, {18,25}, {15,52}, {17,46}, {15,53}, {23,51}, {1,25}, {22,50}, {23,35}, {9,30}, {5,39}, {24,38}, {8,53}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {17,44}, {19,41}, {9,25}, {15,46}, {17,30}, {10,30}, {5,40}, {20,47}, {12,29}, {9,52}, {21,32}, {16,26}, {10,52}, {3,42}, {14,37}, {13,38}, {10,54}, {19,53}, {19,44}, {14,40}, {1,48}, {7,49}, {16,31}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {22,52}, {24,29}, {19,29}, {6,43}, {24,27}, {10,28}, {5,31}, {19,34}, {2,54}, {17,41}, {3,53}, {17,50}, {10,40}, {7,29}, {18,30}, {14,47}, {8,29}, {21,52}, {22,38}, {24,49}, {8,27}, {2,45}, {21,46}, {5,46}, {3,48}, {3,33}, {16,36}, {13,32}, {1,45}, {10,50}, {11,30}, {19,33}, {19,39}, {4,27}, {19,43}, {18,28}, {16,46}, {4,46}, {8,43}, {11,45}, {1,33}, {20,53}, {16,27}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {14,30}, {3,28}, {7,31}, {8,33}, {12,39}, {17,34}, {6,54}, {20,27}, {21,35}, {7,51}, {14,49}, {11,31}, {20,33}, {15,48}, {1,53}, {5,51}, {24,52}, {11,41}, {9,50}, {15,42}, {13,35}, {2,50}, {21,27}, {17,40}, {24,44}, {12,34}, {23,30}, {6,28}, {13,33}, {18,43}, {15,51}, {23,46}, {18,53}, {14,25}, {5,49}, {20,45}, {23,33}, {2,47}, {10,34}, {8,35}, {2,40}, {9,45}, {18,50}, {4,26}, {22,46}, {16,39}, {13,28}, {1,28}, {23,25}, {16,52}, {9,27}, {7,38}, {23,50}, {12,32}, {15,36}, {21,36}, {15,31}, {6,53}, {7,44}, {7,43}, {18,40}, {9,40}, {19,51}, {24,42}, {1,27}, {5,44}, {22,54}, {12,54}, {15,26}, {4,52}, {22,36}, {8,39}, {22,32}, {9,42}, {23,41}, {5,36}, {15,43}, {10,32}, {4,39}, {6,35}, {11,50}, {23,26}, {13,52}, {6,50}, {21,26}, {22,28}, {1,37}, {8,25}, {16,32}, {6,33}, {18,34}, {18,48}, {17,49}, {11,26}, {3,46}, {19,54}, {5,30}, {9,37}, {6,40} }; // ETB54.98 // Bipartite(6,48) Valencies [16,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 51558988266055441317888000000 EdgesBipt[54][97]:={ {4,35}, {6,12}, {6,48}, {3,15}, {1,43}, {2,38}, {6,18}, {5,42}, {5,30}, {6,36}, {3,46}, {1,31}, {5,35}, {2,20}, {4,40}, {1,25}, {4,16}, {6,13}, {5,24}, {1,38}, {5,41}, {2,33}, {6,25}, {1,44}, {6,7}, {1,32}, {3,45}, {3,10}, {3,34}, {2,15}, {3,51}, {6,54}, {6,43}, {2,14}, {5,23}, {6,49}, {4,46}, {2,50}, {2,32}, {3,40}, {4,28}, {1,50}, {4,53}, {3,9}, {4,29}, {3,22}, {6,37}, {5,29}, {3,27}, {1,19}, {4,17}, {2,9}, {1,26}, {2,44}, {6,31}, {4,11}, {3,52}, {6,19}, {2,27}, {2,21}, {5,53}, {1,7}, {6,30}, {2,39}, {4,22}, {5,47}, {1,49}, {3,28}, {5,36}, {5,17}, {2,51}, {5,48}, {3,21}, {1,14}, {6,42}, {3,39}, {2,8}, {1,37}, {1,20}, {5,11}, {3,16}, {1,13}, {2,26}, {4,52}, {5,12}, {6,24}, {5,18}, {4,34}, {4,41}, {4,47}, {3,33}, {4,23}, {1,8}, {4,10}, {5,54}, {2,45} }; // ETB54.99 // Bipartite(6,48) Valencies [16,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1752976676930715648 EdgesBipt[54][98]:={ {4,35}, {6,39}, {1,43}, {2,38}, {4,42}, {6,10}, {6,14}, {5,42}, {5,30}, {4,8}, {1,31}, {6,51}, {2,20}, {1,25}, {6,13}, {5,24}, {1,9}, {6,50}, {6,25}, {4,44}, {5,7}, {3,45}, {2,28}, {6,34}, {6,22}, {2,29}, {1,29}, {3,48}, {2,14}, {3,11}, {4,20}, {2,52}, {2,41}, {6,49}, {4,46}, {1,17}, {2,16}, {6,46}, {2,50}, {2,32}, {3,40}, {2,17}, {5,51}, {3,9}, {5,43}, {5,19}, {5,15}, {6,37}, {3,23}, {4,30}, {6,26}, {6,15}, {1,19}, {2,40}, {3,47}, {2,53}, {1,53}, {2,44}, {4,11}, {3,52}, {3,35}, {5,27}, {1,7}, {6,38}, {4,22}, {1,49}, {3,28}, {5,36}, {3,24}, {5,31}, {3,12}, {5,48}, {3,21}, {1,41}, {4,32}, {2,8}, {1,37}, {4,54}, {3,16}, {1,13}, {4,18}, {2,26}, {1,33}, {5,12}, {3,36}, {5,18}, {4,34}, {6,27}, {4,47}, {1,45}, {3,33}, {4,23}, {5,39}, {1,21}, {4,10}, {5,54} }; // ETB54.100 // Bipartite(18,36) Valencies [16,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[54][99]:={ {13,21}, {15,33}, {6,52}, {6,38}, {16,51}, {11,25}, {4,28}, {5,45}, {8,26}, {14,38}, {17,42}, {13,39}, {11,43}, {15,54}, {2,35}, {17,33}, {4,31}, {8,21}, {14,31}, {1,19}, {11,53}, {10,39}, {3,20}, {14,45}, {16,28}, {5,32}, {7,30}, {13,27}, {14,29}, {2,33}, {17,35}, {3,49}, {10,42}, {6,29}, {11,27}, {12,28}, {2,25}, {4,43}, {16,42}, {15,32}, {2,52}, {4,30}, {16,49}, {12,46}, {9,33}, {8,46}, {8,37}, {12,20}, {5,41}, {8,52}, {7,41}, {12,26}, {13,30}, {11,39}, {10,26}, {7,33}, {3,52}, {12,40}, {10,20}, {2,48}, {13,42}, {1,36}, {16,34}, {16,43}, {10,35}, {15,45}, {18,39}, {8,38}, {13,26}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {13,41}, {8,49}, {18,29}, {9,29}, {12,49}, {8,42}, {18,26}, {7,54}, {18,36}, {6,51}, {8,19}, {3,38}, {12,24}, {3,51}, {11,22}, {1,39}, {13,49}, {6,27}, {11,42}, {14,34}, {3,36}, {4,21}, {8,48}, {18,19}, {1,30}, {8,50}, {14,28}, {12,47}, {6,36}, {4,53}, {16,29}, {9,51}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {15,37}, {14,23}, {10,38}, {10,46}, {18,22}, {13,25}, {17,51}, {11,48}, {8,24}, {4,41}, {17,54}, {17,31}, {11,52}, {13,36}, {4,45}, {1,51}, {15,23}, {12,41}, {9,22}, {9,19}, {4,47}, {3,44}, {3,25}, {7,35}, {2,43}, {10,31}, {5,19}, {13,22}, {15,53}, {2,20}, {9,30}, {8,53}, {3,32}, {7,28}, {17,44}, {8,34}, {9,25}, {15,46}, {4,50}, {16,30}, {7,23}, {12,45}, {6,22}, {17,38}, {12,29}, {6,31}, {11,32}, {17,52}, {16,26}, {15,40}, {14,37}, {1,44}, {10,54}, {14,40}, {9,41}, {7,39}, {15,39}, {4,29}, {1,32}, {6,43}, {10,28}, {9,24}, {6,20}, {16,44}, {2,54}, {7,40}, {2,41}, {5,23}, {2,26}, {18,41}, {18,21}, {10,21}, {14,47}, {9,23}, {13,44}, {2,45}, {5,46}, {3,33}, {13,32}, {10,50}, {14,51}, {11,30}, {2,21}, {2,22}, {14,19}, {18,27}, {3,54}, {12,36}, {16,27}, {2,53}, {12,44}, {7,47}, {4,42}, {16,50}, {7,31}, {12,33}, {5,47}, {17,34}, {6,54}, {18,49}, {15,47}, {7,51}, {11,31}, {14,24}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {17,24}, {12,34}, {6,28}, {4,35}, {18,53}, {14,20}, {15,21}, {5,49}, {13,54}, {1,50}, {11,37}, {1,23}, {16,35}, {10,34}, {3,40}, {10,45}, {15,22}, {17,45}, {18,50}, {15,20}, {1,28}, {16,24}, {16,52}, {3,27}, {9,27}, {5,42}, {15,31}, {6,53}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {8,20}, {1,27}, {5,44}, {5,25}, {17,23}, {9,43}, {14,53}, {1,46}, {4,19}, {3,37}, {16,19}, {10,32}, {4,39}, {12,35}, {7,36}, {17,32}, {11,50}, {13,52}, {17,43}, {6,50}, {14,48}, {1,37}, {8,25}, {4,48}, {3,46}, {9,48}, {5,48}, {17,48}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB54.101 // Bipartite(18,36) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 97387593162817536 EdgesBipt[54][100]:={ {6,52}, {7,48}, {10,37}, {14,36}, {6,25}, {5,38}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {13,37}, {14,38}, {16,22}, {17,42}, {15,44}, {14,50}, {2,35}, {17,33}, {8,21}, {3,19}, {1,19}, {11,53}, {3,23}, {8,23}, {3,20}, {14,45}, {16,37}, {16,28}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {4,37}, {13,43}, {13,27}, {14,29}, {16,21}, {2,33}, {6,32}, {17,35}, {3,49}, {11,35}, {11,29}, {11,27}, {1,20}, {10,47}, {12,28}, {4,24}, {4,43}, {16,48}, {1,52}, {15,32}, {8,30}, {16,49}, {12,46}, {9,33}, {7,45}, {12,20}, {5,41}, {17,39}, {12,38}, {7,27}, {6,49}, {10,26}, {12,31}, {12,40}, {10,20}, {17,26}, {13,24}, {12,23}, {13,42}, {1,29}, {12,37}, {13,51}, {10,35}, {6,44}, {18,39}, {5,50}, {2,29}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {16,40}, {6,34}, {1,43}, {12,49}, {9,39}, {11,51}, {8,42}, {7,54}, {5,54}, {18,33}, {3,38}, {5,27}, {3,47}, {3,31}, {7,37}, {11,42}, {15,50}, {8,48}, {14,54}, {7,19}, {2,44}, {8,50}, {12,47}, {18,51}, {11,36}, {9,51}, {1,47}, {2,24}, {2,51}, {14,23}, {10,38}, {15,34}, {10,46}, {11,33}, {18,22}, {13,25}, {17,51}, {14,39}, {8,24}, {8,41}, {14,21}, {7,46}, {3,29}, {13,36}, {4,45}, {10,19}, {15,23}, {12,41}, {9,22}, {11,44}, {13,45}, {2,27}, {4,33}, {11,24}, {9,31}, {10,44}, {10,29}, {18,25}, {15,52}, {15,53}, {1,25}, {2,20}, {9,30}, {5,39}, {8,53}, {3,32}, {14,27}, {7,28}, {17,44}, {9,25}, {17,30}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {9,52}, {11,54}, {15,40}, {10,52}, {3,22}, {1,44}, {15,49}, {18,31}, {7,49}, {16,31}, {16,45}, {6,23}, {7,39}, {3,41}, {4,36}, {6,43}, {8,32}, {10,28}, {9,24}, {2,54}, {7,40}, {12,50}, {17,41}, {5,23}, {5,20}, {2,26}, {17,50}, {18,21}, {9,21}, {14,47}, {18,30}, {7,21}, {2,45}, {16,36}, {3,50}, {4,27}, {16,46}, {11,47}, {4,46}, {18,24}, {18,52}, {11,45}, {16,27}, {2,53}, {4,42}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {8,33}, {5,47}, {18,49}, {1,53}, {13,34}, {7,22}, {6,26}, {1,34}, {5,21}, {6,41}, {10,53}, {17,24}, {17,21}, {8,44}, {13,33}, {18,43}, {14,20}, {13,54}, {2,47}, {11,20}, {10,34}, {17,53}, {3,40}, {8,35}, {15,22}, {14,41}, {16,54}, {16,39}, {13,28}, {1,28}, {2,38}, {12,32}, {10,43}, {15,31}, {6,53}, {9,49}, {18,40}, {9,40}, {17,23}, {15,26}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {16,19}, {5,36}, {9,34}, {15,43}, {13,46}, {7,36}, {6,35}, {17,32}, {12,19}, {13,52}, {6,50}, {14,48}, {1,37}, {2,42}, {18,42}, {18,34}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {15,25}, {5,30}, {4,54}, {11,38}, {6,40} }; // ETB54.102 // Bipartite(18,36) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 380420285792256 EdgesBipt[54][101]:={ {6,52}, {7,48}, {15,38}, {6,25}, {16,51}, {11,25}, {5,45}, {12,22}, {8,26}, {16,22}, {11,43}, {4,31}, {10,33}, {8,21}, {14,31}, {1,19}, {11,53}, {2,49}, {3,23}, {10,39}, {1,21}, {6,48}, {5,32}, {7,30}, {15,41}, {4,40}, {13,27}, {10,48}, {16,21}, {14,44}, {6,32}, {3,49}, {11,35}, {11,29}, {10,42}, {1,20}, {2,34}, {2,25}, {12,48}, {4,43}, {16,42}, {18,32}, {16,48}, {15,32}, {2,52}, {8,30}, {16,49}, {9,33}, {7,45}, {12,20}, {5,41}, {17,39}, {8,52}, {12,38}, {12,26}, {7,27}, {6,39}, {10,26}, {17,20}, {12,31}, {12,40}, {13,47}, {13,24}, {1,24}, {5,37}, {13,20}, {16,25}, {13,42}, {15,19}, {1,29}, {16,34}, {13,51}, {6,46}, {16,43}, {10,35}, {4,23}, {13,26}, {17,47}, {5,50}, {4,49}, {17,36}, {2,29}, {18,47}, {1,38}, {2,36}, {16,40}, {10,51}, {18,29}, {9,36}, {6,34}, {12,49}, {4,22}, {7,54}, {5,54}, {18,33}, {5,27}, {15,28}, {5,28}, {14,46}, {9,46}, {14,35}, {1,42}, {3,31}, {3,51}, {1,39}, {7,37}, {5,53}, {5,35}, {15,50}, {3,36}, {17,29}, {8,48}, {7,19}, {4,32}, {1,30}, {14,28}, {12,47}, {18,51}, {4,53}, {9,51}, {1,47}, {3,24}, {14,33}, {15,37}, {4,41}, {18,20}, {17,54}, {18,38}, {7,46}, {8,45}, {11,52}, {13,36}, {1,51}, {13,53}, {9,54}, {15,23}, {9,19}, {13,45}, {11,44}, {11,34}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {5,19}, {10,44}, {18,25}, {6,19}, {2,20}, {8,53}, {3,32}, {7,28}, {13,29}, {8,34}, {9,25}, {15,46}, {17,30}, {10,30}, {4,50}, {16,30}, {4,34}, {17,38}, {12,29}, {9,52}, {15,40}, {3,42}, {3,22}, {14,37}, {13,38}, {15,49}, {14,40}, {1,48}, {7,49}, {16,31}, {6,23}, {7,39}, {3,41}, {6,43}, {6,37}, {9,24}, {4,44}, {2,54}, {7,40}, {17,41}, {5,23}, {17,50}, {18,41}, {10,21}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {3,33}, {14,26}, {10,50}, {14,51}, {3,50}, {9,28}, {15,29}, {11,47}, {2,22}, {18,24}, {18,52}, {8,43}, {2,31}, {14,19}, {1,33}, {3,54}, {3,45}, {12,44}, {5,26}, {12,53}, {10,41}, {4,25}, {7,31}, {11,19}, {12,39}, {15,47}, {14,49}, {14,24}, {7,22}, {13,35}, {6,41}, {10,53}, {17,21}, {8,44}, {6,28}, {18,23}, {4,35}, {13,33}, {18,43}, {13,54}, {11,37}, {11,28}, {2,47}, {10,24}, {14,42}, {11,20}, {16,33}, {3,40}, {17,27}, {8,35}, {2,40}, {8,54}, {6,21}, {17,45}, {15,22}, {9,45}, {18,50}, {4,26}, {15,20}, {16,39}, {1,28}, {16,24}, {16,52}, {3,27}, {9,27}, {2,38}, {15,31}, {5,44}, {17,23}, {10,23}, {4,52}, {9,43}, {14,53}, {1,46}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {17,32}, {6,50}, {1,37}, {8,25}, {18,42}, {12,21}, {18,34}, {11,26}, {17,48}, {11,38}, {9,37} }; // ETB54.103 // Bipartite(18,36) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19327352832 EdgesBipt[54][102]:={ {13,21}, {6,52}, {18,45}, {10,37}, {16,47}, {14,36}, {11,49}, {5,22}, {3,26}, {8,26}, {16,22}, {13,39}, {15,54}, {2,35}, {8,40}, {3,35}, {10,33}, {3,19}, {15,27}, {1,19}, {11,53}, {2,49}, {8,23}, {4,51}, {8,31}, {4,40}, {13,43}, {13,40}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {10,42}, {10,47}, {12,28}, {12,48}, {4,43}, {16,42}, {15,32}, {4,30}, {8,30}, {12,46}, {7,45}, {8,46}, {5,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {6,49}, {3,52}, {17,26}, {1,24}, {2,48}, {13,20}, {18,35}, {9,35}, {15,19}, {1,29}, {12,37}, {13,51}, {16,34}, {6,46}, {15,45}, {18,39}, {17,47}, {12,52}, {2,29}, {2,36}, {8,49}, {16,40}, {10,51}, {8,22}, {6,34}, {1,43}, {11,51}, {9,39}, {9,20}, {18,26}, {4,22}, {7,54}, {5,54}, {3,43}, {15,28}, {5,28}, {14,46}, {14,35}, {1,42}, {12,24}, {6,27}, {2,30}, {5,53}, {5,35}, {15,50}, {4,21}, {17,29}, {8,48}, {14,54}, {4,32}, {8,50}, {14,28}, {6,36}, {16,29}, {11,36}, {3,30}, {13,48}, {1,47}, {3,24}, {14,33}, {2,51}, {15,37}, {14,23}, {15,34}, {11,33}, {13,25}, {14,39}, {11,48}, {8,47}, {8,41}, {9,38}, {14,21}, {9,26}, {18,20}, {18,38}, {17,31}, {1,41}, {1,51}, {10,19}, {3,44}, {3,25}, {17,28}, {12,30}, {4,33}, {7,34}, {9,31}, {10,29}, {18,25}, {15,52}, {17,46}, {13,22}, {1,25}, {13,50}, {6,19}, {2,20}, {5,39}, {18,44}, {6,45}, {17,44}, {9,25}, {15,46}, {17,30}, {5,40}, {4,50}, {4,34}, {10,25}, {6,31}, {16,26}, {11,54}, {12,25}, {3,42}, {13,38}, {15,49}, {18,31}, {14,40}, {9,41}, {16,45}, {15,39}, {1,32}, {9,44}, {7,52}, {6,37}, {8,32}, {7,24}, {17,22}, {2,19}, {16,44}, {2,54}, {7,40}, {17,41}, {5,23}, {12,43}, {3,53}, {17,50}, {18,41}, {18,21}, {9,21}, {7,29}, {8,29}, {9,23}, {5,46}, {3,48}, {16,36}, {13,32}, {1,45}, {10,50}, {14,51}, {11,30}, {3,34}, {5,24}, {11,47}, {16,20}, {2,31}, {16,38}, {1,33}, {18,27}, {16,27}, {2,53}, {12,44}, {7,47}, {2,37}, {12,53}, {10,41}, {4,25}, {3,28}, {11,19}, {6,54}, {18,49}, {11,31}, {14,24}, {5,51}, {13,34}, {7,22}, {5,21}, {7,42}, {17,40}, {12,34}, {8,44}, {6,28}, {18,23}, {13,33}, {18,43}, {18,53}, {15,21}, {7,26}, {1,50}, {11,37}, {2,47}, {1,23}, {10,24}, {14,42}, {11,20}, {10,27}, {10,45}, {6,21}, {9,45}, {14,41}, {16,54}, {16,24}, {16,52}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {8,28}, {9,49}, {4,20}, {1,27}, {17,23}, {10,23}, {9,53}, {4,52}, {9,43}, {14,53}, {3,37}, {14,22}, {5,36}, {10,32}, {4,39}, {12,35}, {7,36}, {17,32}, {12,19}, {13,52}, {6,50}, {1,37}, {4,48}, {17,49}, {3,46}, {17,48}, {5,33}, {11,38} }; // ETB54.104 // Bipartite(18,36) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 73728 EdgesBipt[54][103]:={ {13,21}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {9,32}, {8,51}, {5,45}, {12,22}, {3,26}, {13,37}, {1,40}, {15,44}, {15,54}, {17,33}, {4,31}, {3,19}, {14,31}, {15,27}, {1,19}, {11,53}, {14,45}, {3,39}, {16,28}, {1,35}, {7,30}, {15,41}, {4,37}, {4,40}, {13,27}, {14,29}, {10,48}, {13,40}, {14,44}, {6,32}, {17,35}, {3,49}, {11,29}, {10,47}, {2,34}, {12,28}, {1,52}, {18,32}, {15,32}, {2,52}, {4,30}, {16,49}, {12,46}, {7,45}, {8,37}, {8,52}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {7,33}, {12,40}, {1,24}, {2,48}, {13,20}, {16,25}, {15,19}, {16,43}, {10,35}, {6,44}, {8,38}, {4,49}, {17,36}, {2,29}, {1,38}, {18,46}, {1,26}, {2,36}, {8,22}, {18,29}, {1,43}, {9,29}, {12,49}, {9,20}, {18,26}, {4,22}, {7,54}, {5,54}, {6,51}, {2,39}, {9,46}, {14,35}, {3,47}, {7,32}, {3,51}, {13,49}, {6,27}, {7,53}, {11,42}, {5,35}, {15,50}, {3,36}, {4,21}, {14,54}, {12,47}, {4,53}, {11,36}, {3,30}, {13,48}, {1,47}, {11,23}, {14,33}, {15,37}, {14,23}, {10,38}, {10,46}, {17,51}, {14,39}, {11,48}, {8,24}, {8,41}, {14,21}, {9,26}, {18,20}, {8,45}, {11,52}, {13,36}, {2,23}, {13,53}, {10,19}, {3,25}, {11,34}, {17,28}, {12,30}, {4,33}, {7,50}, {13,22}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {8,53}, {18,44}, {7,28}, {17,44}, {13,29}, {8,34}, {16,30}, {7,23}, {12,45}, {6,22}, {10,25}, {17,38}, {6,31}, {11,32}, {17,52}, {12,25}, {11,54}, {10,52}, {3,42}, {3,22}, {15,49}, {7,49}, {1,48}, {9,41}, {16,31}, {16,45}, {4,36}, {15,39}, {4,29}, {9,44}, {7,52}, {6,37}, {9,24}, {5,31}, {17,22}, {2,19}, {2,54}, {2,41}, {17,41}, {5,23}, {18,41}, {10,40}, {18,21}, {9,21}, {18,30}, {8,36}, {6,47}, {14,26}, {10,50}, {14,51}, {9,28}, {3,34}, {16,53}, {4,27}, {18,28}, {5,24}, {16,20}, {4,46}, {18,24}, {8,43}, {18,27}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {16,50}, {3,28}, {7,31}, {11,19}, {8,33}, {12,39}, {17,34}, {6,54}, {15,47}, {14,24}, {5,51}, {11,41}, {7,25}, {9,50}, {13,35}, {5,21}, {6,41}, {17,24}, {12,34}, {8,44}, {16,23}, {4,35}, {13,33}, {18,43}, {15,51}, {15,21}, {14,25}, {1,50}, {1,23}, {10,24}, {14,42}, {11,20}, {10,27}, {16,33}, {17,53}, {3,40}, {8,35}, {2,40}, {6,21}, {17,45}, {15,22}, {18,50}, {16,54}, {17,37}, {16,52}, {7,20}, {9,27}, {5,42}, {2,38}, {10,43}, {15,31}, {8,28}, {7,43}, {4,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {1,46}, {9,42}, {9,34}, {13,46}, {12,19}, {17,43}, {6,50}, {14,48}, {1,37}, {2,42}, {18,42}, {16,32}, {4,48}, {2,32}, {18,34}, {12,51}, {3,46}, {5,48}, {5,33}, {11,38} }; // ETB54.105 // Bipartite(18,36) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[54][104]:={ {15,33}, {6,52}, {7,48}, {6,38}, {11,40}, {15,38}, {11,49}, {9,32}, {4,28}, {5,45}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {15,44}, {2,35}, {4,31}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {10,39}, {1,21}, {3,21}, {3,39}, {7,30}, {15,41}, {4,37}, {13,43}, {13,27}, {14,29}, {10,48}, {6,32}, {11,29}, {6,29}, {2,34}, {2,25}, {12,48}, {4,24}, {4,43}, {16,48}, {18,32}, {15,32}, {2,52}, {8,30}, {7,45}, {8,46}, {5,41}, {8,52}, {7,27}, {12,42}, {6,39}, {12,31}, {12,40}, {10,20}, {13,47}, {2,48}, {18,35}, {16,25}, {1,36}, {12,37}, {13,51}, {16,34}, {6,46}, {16,43}, {15,45}, {8,38}, {17,47}, {9,47}, {4,49}, {17,36}, {5,34}, {18,46}, {13,19}, {1,26}, {13,41}, {16,40}, {10,51}, {6,34}, {9,29}, {11,51}, {12,49}, {8,42}, {5,54}, {18,33}, {5,27}, {2,39}, {14,35}, {3,47}, {12,24}, {12,27}, {3,51}, {11,22}, {1,39}, {13,49}, {7,53}, {2,30}, {14,34}, {15,50}, {4,21}, {17,29}, {8,48}, {1,30}, {8,50}, {18,51}, {11,36}, {3,24}, {10,38}, {10,46}, {11,33}, {18,22}, {13,25}, {8,24}, {9,26}, {17,54}, {3,29}, {1,41}, {1,51}, {13,53}, {15,23}, {9,22}, {9,19}, {13,45}, {3,44}, {11,44}, {17,28}, {7,35}, {11,46}, {2,43}, {5,52}, {2,27}, {12,30}, {10,31}, {18,25}, {17,46}, {15,53}, {13,31}, {17,19}, {5,39}, {16,41}, {13,29}, {14,52}, {8,34}, {10,30}, {16,30}, {12,45}, {4,34}, {10,25}, {15,35}, {9,52}, {11,54}, {15,40}, {3,42}, {14,43}, {1,44}, {14,40}, {1,48}, {7,49}, {6,23}, {16,45}, {7,39}, {4,36}, {1,32}, {9,44}, {1,54}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {2,19}, {6,20}, {17,41}, {5,23}, {3,53}, {17,50}, {10,21}, {14,47}, {18,30}, {7,21}, {8,36}, {2,45}, {6,47}, {3,33}, {16,36}, {2,21}, {18,28}, {11,47}, {16,20}, {4,46}, {18,24}, {16,38}, {1,33}, {12,36}, {16,27}, {2,53}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {5,47}, {14,49}, {11,31}, {14,24}, {9,50}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {17,40}, {8,44}, {6,28}, {16,23}, {13,33}, {18,43}, {15,51}, {18,53}, {14,20}, {14,25}, {5,49}, {7,26}, {1,50}, {11,28}, {1,23}, {11,20}, {14,42}, {13,23}, {8,54}, {6,21}, {15,22}, {9,45}, {18,50}, {16,54}, {15,20}, {17,37}, {16,52}, {7,20}, {9,27}, {7,38}, {10,43}, {6,53}, {7,44}, {8,28}, {18,40}, {9,40}, {8,20}, {5,44}, {12,54}, {17,23}, {10,23}, {15,26}, {4,52}, {14,53}, {4,19}, {14,22}, {3,37}, {9,42}, {5,36}, {9,34}, {4,39}, {6,35}, {17,32}, {12,19}, {17,43}, {6,50}, {1,37}, {18,42}, {2,32}, {12,51}, {18,48}, {11,26}, {3,46}, {4,54}, {11,38}, {10,49}, {9,37} }; // ETB54.106 // Bipartite(27,27) Valencies [16,16] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 4354560 EdgesBipt[54][105]:={ {24,34}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {27,48}, {14,36}, {11,49}, {9,32}, {26,46}, {16,51}, {4,28}, {25,37}, {5,43}, {23,53}, {25,47}, {8,51}, {5,45}, {1,49}, {13,37}, {17,42}, {13,39}, {26,49}, {15,44}, {11,43}, {15,54}, {14,50}, {2,35}, {4,31}, {26,43}, {20,46}, {10,33}, {21,30}, {14,31}, {24,32}, {24,54}, {27,33}, {21,41}, {24,36}, {11,53}, {2,49}, {21,54}, {10,39}, {14,45}, {6,48}, {16,37}, {19,37}, {21,28}, {5,32}, {1,35}, {15,41}, {8,31}, {4,37}, {20,52}, {2,46}, {24,28}, {27,54}, {6,32}, {17,35}, {4,38}, {11,35}, {10,42}, {6,29}, {10,47}, {12,28}, {19,31}, {12,48}, {21,40}, {16,42}, {15,32}, {2,52}, {23,45}, {4,30}, {16,49}, {9,33}, {20,43}, {7,45}, {8,46}, {26,39}, {27,28}, {24,46}, {17,39}, {8,52}, {12,38}, {7,41}, {23,31}, {13,30}, {23,54}, {23,36}, {25,34}, {11,39}, {22,42}, {7,33}, {3,52}, {12,40}, {27,50}, {13,47}, {24,30}, {2,48}, {15,30}, {20,39}, {27,32}, {27,41}, {24,50}, {20,35}, {23,43}, {1,29}, {19,42}, {23,42}, {12,37}, {13,51}, {16,34}, {6,46}, {10,35}, {6,44}, {26,52}, {17,47}, {5,50}, {12,52}, {4,49}, {17,36}, {1,38}, {18,46}, {14,32}, {2,36}, {8,49}, {13,41}, {20,36}, {20,42}, {10,51}, {22,34}, {27,30}, {18,29}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {18,33}, {5,54}, {18,36}, {3,38}, {3,43}, {15,28}, {24,41}, {14,46}, {2,39}, {9,46}, {24,40}, {26,42}, {14,35}, {1,42}, {27,40}, {1,31}, {19,47}, {25,33}, {1,39}, {13,49}, {7,37}, {7,53}, {5,53}, {11,42}, {5,35}, {15,50}, {3,36}, {8,48}, {14,54}, {25,44}, {22,49}, {1,30}, {8,50}, {6,36}, {23,39}, {23,40}, {4,53}, {16,29}, {11,36}, {3,30}, {27,52}, {1,47}, {26,51}, {2,51}, {15,37}, {20,51}, {10,38}, {15,34}, {17,51}, {14,39}, {11,48}, {19,30}, {8,47}, {9,38}, {27,37}, {17,54}, {18,38}, {21,37}, {8,45}, {3,29}, {11,52}, {1,41}, {4,45}, {1,51}, {13,53}, {22,29}, {9,54}, {12,41}, {18,54}, {20,54}, {26,54}, {4,47}, {13,45}, {20,31}, {25,49}, {7,35}, {19,45}, {25,30}, {2,43}, {22,30}, {27,34}, {12,30}, {6,30}, {4,33}, {22,44}, {7,34}, {10,31}, {25,41}, {10,44}, {10,29}, {15,52}, {17,46}, {23,51}, {22,31}, {23,35}, {13,31}, {5,39}, {24,38}, {8,53}, {3,32}, {18,44}, {22,45}, {16,41}, {7,28}, {25,31}, {19,41}, {13,29}, {14,52}, {15,46}, {10,30}, {5,40}, {20,47}, {25,45}, {16,30}, {26,47}, {4,34}, {12,29}, {25,53}, {26,31}, {11,32}, {17,52}, {22,53}, {9,52}, {21,32}, {11,54}, {15,40}, {13,38}, {19,53}, {19,44}, {14,40}, {7,49}, {24,43}, {9,41}, {16,45}, {25,38}, {3,41}, {22,41}, {4,29}, {9,44}, {24,29}, {19,29}, {6,43}, {6,37}, {8,32}, {22,39}, {10,28}, {26,48}, {5,31}, {20,48}, {26,53}, {19,34}, {16,44}, {4,44}, {12,50}, {12,43}, {20,32}, {25,42}, {17,50}, {18,41}, {27,46}, {7,29}, {18,30}, {14,47}, {21,52}, {22,38}, {8,36}, {13,44}, {2,45}, {21,46}, {23,52}, {5,46}, {3,48}, {3,33}, {1,45}, {23,32}, {14,51}, {3,50}, {19,33}, {19,39}, {9,28}, {3,34}, {16,53}, {15,29}, {11,47}, {18,52}, {8,43}, {25,39}, {2,31}, {16,38}, {1,33}, {21,33}, {20,53}, {12,36}, {12,44}, {7,47}, {4,42}, {10,41}, {3,28}, {21,34}, {7,31}, {12,33}, {5,47}, {6,54}, {7,51}, {14,49}, {22,33}, {11,31}, {21,44}, {15,48}, {19,35}, {26,50}, {13,34}, {24,52}, {9,50}, {26,32}, {1,34}, {22,51}, {13,35}, {21,43}, {7,42}, {2,50}, {23,49}, {10,53}, {21,29}, {17,40}, {24,44}, {6,28}, {27,44}, {4,35}, {21,48}, {18,43}, {23,46}, {5,49}, {20,45}, {2,47}, {16,35}, {16,33}, {17,53}, {3,40}, {8,35}, {2,40}, {8,54}, {17,45}, {18,50}, {16,39}, {13,28}, {1,28}, {7,38}, {5,42}, {23,50}, {12,32}, {15,36}, {22,35}, {21,36}, {7,44}, {18,40}, {19,51}, {26,40}, {27,43}, {20,40}, {12,54}, {9,43}, {14,53}, {3,37}, {25,28}, {5,36}, {9,34}, {24,33}, {4,39}, {11,50}, {17,43}, {6,50}, {14,48}, {22,28}, {1,37}, {2,42}, {26,45}, {6,33}, {2,32}, {18,34}, {17,49}, {18,48}, {3,46}, {9,48}, {17,48}, {5,48}, {18,37}, {10,49}, {9,37}, {25,51}, {27,38}, {6,40} }; // ETB54.107 // Bipartite(27,27) Valencies [16,16] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 103680 EdgesBipt[54][106]:={ {15,33}, {6,52}, {18,45}, {7,48}, {19,28}, {10,37}, {15,38}, {27,48}, {11,49}, {9,32}, {23,29}, {26,46}, {16,51}, {5,43}, {23,53}, {8,51}, {22,40}, {1,49}, {25,40}, {1,40}, {13,39}, {26,49}, {15,44}, {15,54}, {14,50}, {2,35}, {26,43}, {20,46}, {14,31}, {21,41}, {11,53}, {26,37}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {1,35}, {4,51}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {20,52}, {2,46}, {13,43}, {14,29}, {23,44}, {24,28}, {2,33}, {17,35}, {6,32}, {3,49}, {21,53}, {11,29}, {6,29}, {19,40}, {2,34}, {19,31}, {26,38}, {12,48}, {4,43}, {16,42}, {16,48}, {1,52}, {18,32}, {4,30}, {8,30}, {8,37}, {27,28}, {17,39}, {8,52}, {21,38}, {12,38}, {7,41}, {23,31}, {13,30}, {6,39}, {23,36}, {11,39}, {6,49}, {22,42}, {7,33}, {12,31}, {3,52}, {12,40}, {20,29}, {27,50}, {13,47}, {24,30}, {15,30}, {5,37}, {19,52}, {27,41}, {24,50}, {24,47}, {21,50}, {18,35}, {24,45}, {9,35}, {1,36}, {1,29}, {23,42}, {12,37}, {13,51}, {16,34}, {16,43}, {10,35}, {15,45}, {6,44}, {26,52}, {27,53}, {17,47}, {9,47}, {12,52}, {5,50}, {17,36}, {2,29}, {18,47}, {1,38}, {18,46}, {20,36}, {20,42}, {22,34}, {24,37}, {27,30}, {18,29}, {9,36}, {8,42}, {7,54}, {5,54}, {6,51}, {22,43}, {3,43}, {5,28}, {24,41}, {20,41}, {2,39}, {24,40}, {14,35}, {27,39}, {7,32}, {19,38}, {19,47}, {25,33}, {3,51}, {7,37}, {2,30}, {14,34}, {3,36}, {17,29}, {8,48}, {14,54}, {4,32}, {22,49}, {1,30}, {21,45}, {8,50}, {23,39}, {24,53}, {13,48}, {9,51}, {27,52}, {1,47}, {26,51}, {10,36}, {10,38}, {10,46}, {11,33}, {17,51}, {14,39}, {11,48}, {4,41}, {9,38}, {27,37}, {18,38}, {21,37}, {8,45}, {17,31}, {13,36}, {1,41}, {4,45}, {26,44}, {1,51}, {25,32}, {9,54}, {18,54}, {20,54}, {26,54}, {4,47}, {20,31}, {24,39}, {11,34}, {17,28}, {21,42}, {19,45}, {11,46}, {25,30}, {2,43}, {5,52}, {27,34}, {12,30}, {6,30}, {7,50}, {4,33}, {7,34}, {9,31}, {25,41}, {10,44}, {10,29}, {15,53}, {23,51}, {22,31}, {22,50}, {13,50}, {5,39}, {24,38}, {8,53}, {3,32}, {18,44}, {22,45}, {6,45}, {20,44}, {25,31}, {17,44}, {13,29}, {14,52}, {8,34}, {15,46}, {20,47}, {4,50}, {16,30}, {12,45}, {26,47}, {25,53}, {26,31}, {6,31}, {11,32}, {9,52}, {21,32}, {11,54}, {15,40}, {3,42}, {14,43}, {10,52}, {19,50}, {27,35}, {13,38}, {15,49}, {10,54}, {14,40}, {1,48}, {7,49}, {24,43}, {9,41}, {16,31}, {16,45}, {25,38}, {23,34}, {4,36}, {22,41}, {1,32}, {9,44}, {25,50}, {24,29}, {21,39}, {24,51}, {10,28}, {26,48}, {5,31}, {20,48}, {19,34}, {4,44}, {2,54}, {2,41}, {12,43}, {20,32}, {3,53}, {25,42}, {10,40}, {27,46}, {23,37}, {7,29}, {14,47}, {18,30}, {2,28}, {8,29}, {22,38}, {13,44}, {2,45}, {21,46}, {23,52}, {5,46}, {3,48}, {25,43}, {3,33}, {16,36}, {10,50}, {23,32}, {27,49}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {16,46}, {18,28}, {27,47}, {4,46}, {8,43}, {25,39}, {16,38}, {11,45}, {20,28}, {21,33}, {3,54}, {20,53}, {12,36}, {3,45}, {12,44}, {7,47}, {2,37}, {5,29}, {16,50}, {12,53}, {10,41}, {3,28}, {12,33}, {8,33}, {12,39}, {5,47}, {17,34}, {21,35}, {18,49}, {14,49}, {22,33}, {11,31}, {21,44}, {15,48}, {1,53}, {19,35}, {13,34}, {24,52}, {11,41}, {26,32}, {15,42}, {13,35}, {7,42}, {6,41}, {23,49}, {21,29}, {17,40}, {24,44}, {19,36}, {23,30}, {6,28}, {6,42}, {27,44}, {4,35}, {21,48}, {21,51}, {13,33}, {15,51}, {23,46}, {18,53}, {5,49}, {20,34}, {23,33}, {11,28}, {2,47}, {14,42}, {10,34}, {17,53}, {3,40}, {8,35}, {9,45}, {14,41}, {18,50}, {16,54}, {22,46}, {17,37}, {16,39}, {26,34}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {25,35}, {10,43}, {15,31}, {7,44}, {27,42}, {8,28}, {9,49}, {18,40}, {19,51}, {26,40}, {20,40}, {25,54}, {9,53}, {22,36}, {9,43}, {22,47}, {26,33}, {14,53}, {1,46}, {22,32}, {25,28}, {5,36}, {13,46}, {12,35}, {7,36}, {6,35}, {11,50}, {13,52}, {17,43}, {22,28}, {1,37}, {2,42}, {18,42}, {16,32}, {17,49}, {19,54}, {5,48}, {17,48}, {5,33}, {4,54}, {10,49}, {25,51}, {6,40} }; // ETB54.108 // Bipartite(18,36) Valencies [18,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19416496799249411698851840000 EdgesBipt[54][107]:={ {15,33}, {7,48}, {6,38}, {14,36}, {11,49}, {5,38}, {5,22}, {11,25}, {4,28}, {5,45}, {12,22}, {1,40}, {16,22}, {13,39}, {17,42}, {17,33}, {8,40}, {3,35}, {8,21}, {3,19}, {15,27}, {1,19}, {11,53}, {2,49}, {3,23}, {3,21}, {14,45}, {3,39}, {16,28}, {1,35}, {15,41}, {4,40}, {13,43}, {13,27}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {11,29}, {10,42}, {1,20}, {2,25}, {4,24}, {16,42}, {1,52}, {16,48}, {2,52}, {4,30}, {12,46}, {9,33}, {8,37}, {5,41}, {8,52}, {12,38}, {12,26}, {7,27}, {12,42}, {6,39}, {10,26}, {12,31}, {10,20}, {17,26}, {13,47}, {13,24}, {1,24}, {2,48}, {12,23}, {5,37}, {13,20}, {18,35}, {9,35}, {1,36}, {15,19}, {13,51}, {16,34}, {6,46}, {15,45}, {18,39}, {9,47}, {5,50}, {2,29}, {5,34}, {18,47}, {18,46}, {13,19}, {14,32}, {2,36}, {8,49}, {16,40}, {6,34}, {1,43}, {9,29}, {9,39}, {18,26}, {4,22}, {5,54}, {6,51}, {3,43}, {3,47}, {7,32}, {1,31}, {3,31}, {12,27}, {3,51}, {11,22}, {1,39}, {6,27}, {11,42}, {5,53}, {17,29}, {8,48}, {18,19}, {7,19}, {4,32}, {2,44}, {14,28}, {11,21}, {12,47}, {18,51}, {13,48}, {9,51}, {1,47}, {2,24}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {11,33}, {18,22}, {8,24}, {8,41}, {14,21}, {17,54}, {18,38}, {8,45}, {3,29}, {13,36}, {1,51}, {15,23}, {18,54}, {9,19}, {3,25}, {11,34}, {7,35}, {11,46}, {12,30}, {6,30}, {9,31}, {10,44}, {17,46}, {15,53}, {6,19}, {2,20}, {13,31}, {8,53}, {7,28}, {14,52}, {9,25}, {17,30}, {10,22}, {10,30}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {15,35}, {17,38}, {6,31}, {11,54}, {16,26}, {10,52}, {14,37}, {1,44}, {15,49}, {10,54}, {18,31}, {14,40}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {1,32}, {7,52}, {6,43}, {8,32}, {7,24}, {10,28}, {17,22}, {17,25}, {16,44}, {4,44}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {3,53}, {17,50}, {10,40}, {9,21}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {13,44}, {2,45}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {10,50}, {11,30}, {2,21}, {16,46}, {15,29}, {16,20}, {4,46}, {16,38}, {11,45}, {18,27}, {3,45}, {2,53}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {7,31}, {8,33}, {12,39}, {6,54}, {17,34}, {7,51}, {14,49}, {15,47}, {14,24}, {11,41}, {6,26}, {13,35}, {5,21}, {12,34}, {8,44}, {17,21}, {6,42}, {18,23}, {18,43}, {15,51}, {14,20}, {14,25}, {15,21}, {5,49}, {11,37}, {1,23}, {10,24}, {10,34}, {17,53}, {13,23}, {2,40}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {16,54}, {17,37}, {13,28}, {1,28}, {16,24}, {16,52}, {3,27}, {7,20}, {9,27}, {5,42}, {15,31}, {7,44}, {8,28}, {9,49}, {7,43}, {4,20}, {8,20}, {1,27}, {5,25}, {12,54}, {9,53}, {4,52}, {9,43}, {14,53}, {3,37}, {10,32}, {15,43}, {12,35}, {7,36}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {14,48}, {8,25}, {18,42}, {4,48}, {16,32}, {2,32}, {18,34}, {12,51}, {17,49}, {11,26}, {15,25}, {5,33}, {5,30}, {4,54}, {11,38}, {9,37} }; // ETB54.109 // Bipartite(27,27) Valencies [18,18] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 46656 EdgesBipt[54][108]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {13,40}, {24,33}, {4,46}, {3,29}, {20,33}, {25,42}, {22,37}, {26,33}, {20,50}, {3,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {27,53}, {15,54}, {10,54}, {2,39}, {7,28}, {1,32}, {4,28}, {19,51}, {13,43}, {19,37}, {23,29}, {10,29}, {15,33}, {24,52}, {12,52}, {16,54}, {5,43}, {12,32}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {21,35}, {20,42}, {2,38}, {23,53}, {4,52}, {6,34}, {4,38}, {11,39}, {24,39}, {7,54}, {16,33}, {19,38}, {18,28}, {8,44}, {25,49}, {4,34}, {26,46}, {13,29}, {13,48}, {26,47}, {18,37}, {25,29}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {23,34}, {17,45}, {24,36}, {11,35}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {22,29}, {8,52}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {12,35}, {12,48}, {19,54}, {24,48}, {19,40}, {10,51}, {15,51}, {5,53}, {27,32}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {1,31}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {4,41}, {18,53}, {7,51}, {22,32}, {8,39}, {22,45}, {2,36}, {11,44}, {13,33}, {26,44}, {18,35}, {18,31}, {14,51}, {26,32}, {18,42}, {15,34}, {8,35}, {11,38}, {24,44}, {5,33}, {4,39}, {27,41}, {22,47}, {16,43}, {8,47}, {6,39}, {24,43}, {2,44}, {2,45}, {19,35}, {23,52}, {16,34}, {8,49}, {10,48}, {19,31}, {2,28}, {4,44}, {5,36}, {24,54}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {14,50}, {21,37}, {3,50}, {25,38}, {27,51}, {26,37}, {2,34}, {14,35}, {6,49}, {11,32}, {3,31}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {9,28}, {26,49}, {20,49}, {20,52}, {21,40}, {5,28}, {5,51}, {8,30}, {17,53}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {21,34}, {1,44}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {19,52}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {26,31}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {14,37}, {20,31}, {8,33}, {10,28}, {13,50}, {9,44}, {24,53}, {21,50}, {16,37}, {1,54}, {13,32}, {17,36}, {26,39}, {18,44}, {23,28}, {3,28}, {12,45}, {15,36}, {10,36}, {16,29}, {9,43}, {11,51}, {6,53}, {25,52}, {27,48}, {15,30}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {6,45}, {10,37}, {6,44}, {2,42}, {9,46}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {27,40}, {1,30}, {15,46}, {1,52}, {4,49}, {9,40}, {25,30}, {14,31}, {7,46}, {19,28}, {1,34}, {22,40}, {4,47}, {24,35}, {24,31}, {5,30}, {6,46}, {2,49}, {21,54}, {19,43}, {14,46}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {27,34}, {18,30}, {1,40}, {8,29}, {1,48}, {15,44}, {23,41}, {19,36}, {9,34}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {24,47}, {9,47}, {19,39}, {21,53}, {15,35}, {13,41}, {15,48}, {8,54}, {19,29}, {18,39}, {9,48}, {2,43}, {25,48}, {14,34}, {13,44}, {26,41}, {1,47}, {6,51}, {8,42}, {7,38}, {23,40}, {12,53}, {13,31}, {5,31}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {11,28}, {13,39}, {11,43}, {3,52}, {20,51}, {2,53}, {19,42}, {17,34}, {18,46}, {23,51}, {1,45}, {10,30}, {6,42}, {7,32}, {13,38}, {26,36}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {3,41}, {10,33}, {17,49}, {22,50}, {26,38}, {27,52}, {15,49}, {16,39}, {1,38}, {25,43}, {7,41}, {2,29}, {20,30}, {25,50}, {25,54}, {18,40}, {13,30}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {10,41}, {12,34}, {4,50}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {9,51}, {10,44}, {27,37}, {1,33}, {2,32}, {22,34}, {27,30}, {15,52}, {16,50}, {19,48}, {9,36}, {10,40}, {18,47}, {21,41}, {12,40}, {17,40}, {7,45}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {19,46}, {13,42}, {14,45}, {5,35}, {21,48}, {1,51}, {24,45}, {16,32}, {9,32}, {21,32}, {23,30}, {22,31}, {20,47}, {22,35}, {7,50}, {26,29}, {23,37}, {10,45}, {23,42}, {15,53}, {21,49}, {3,40}, {20,46}, {27,43}, {12,36}, {27,31}, {22,44}, {13,49}, {21,39}, {27,35}, {27,50}, {21,28}, {26,28}, {16,38}, {22,43}, {16,49}, {17,30}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {20,53}, {8,53}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29} }; // ETB54.110 // Bipartite(27,27) Valencies [18,18] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 27400560283100769789419716608000000 EdgesBipt[54][109]:={ {26,53}, {3,42}, {7,49}, {26,50}, {13,40}, {24,33}, {6,36}, {4,46}, {3,29}, {16,28}, {25,42}, {22,37}, {14,29}, {20,50}, {8,28}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {15,54}, {10,54}, {18,38}, {7,28}, {15,50}, {4,28}, {19,51}, {13,43}, {19,37}, {17,29}, {23,29}, {15,33}, {16,54}, {5,43}, {22,51}, {12,32}, {23,50}, {3,54}, {4,30}, {21,35}, {2,38}, {23,53}, {2,52}, {4,52}, {19,49}, {1,49}, {24,39}, {7,54}, {16,33}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {22,28}, {13,48}, {26,47}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {23,34}, {24,36}, {11,35}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {8,52}, {11,29}, {5,47}, {16,51}, {11,47}, {23,49}, {20,28}, {18,50}, {12,35}, {12,48}, {19,54}, {24,48}, {19,40}, {10,51}, {15,51}, {5,53}, {27,32}, {18,54}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {8,40}, {2,41}, {1,31}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {20,44}, {3,48}, {21,42}, {18,53}, {13,54}, {7,51}, {7,34}, {22,45}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {20,32}, {26,32}, {3,51}, {18,42}, {5,46}, {16,42}, {12,44}, {24,30}, {16,30}, {8,35}, {11,38}, {24,44}, {4,39}, {27,41}, {16,43}, {8,47}, {6,39}, {2,44}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {4,45}, {2,28}, {20,43}, {24,54}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {3,50}, {27,51}, {26,37}, {2,34}, {14,35}, {12,41}, {11,32}, {2,47}, {10,43}, {5,29}, {27,36}, {25,46}, {26,49}, {20,49}, {20,52}, {20,40}, {21,51}, {5,28}, {25,33}, {14,32}, {27,38}, {17,53}, {26,52}, {11,41}, {22,46}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {10,31}, {11,49}, {7,37}, {21,45}, {19,52}, {1,28}, {27,33}, {18,48}, {16,48}, {3,36}, {17,46}, {7,42}, {24,50}, {11,50}, {9,54}, {26,31}, {12,47}, {11,53}, {17,28}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {22,33}, {14,37}, {7,43}, {20,31}, {10,28}, {9,44}, {24,53}, {9,42}, {21,50}, {16,37}, {1,54}, {27,45}, {18,44}, {23,28}, {21,29}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {8,41}, {15,42}, {13,46}, {2,40}, {17,50}, {6,53}, {25,52}, {16,46}, {27,48}, {15,30}, {27,54}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {22,52}, {10,52}, {24,51}, {22,48}, {4,42}, {27,47}, {3,53}, {15,29}, {20,38}, {14,41}, {5,34}, {26,34}, {1,30}, {1,43}, {1,52}, {13,36}, {3,35}, {4,49}, {25,30}, {14,31}, {7,46}, {6,47}, {19,28}, {20,37}, {1,34}, {22,40}, {24,35}, {13,37}, {2,49}, {21,54}, {23,44}, {19,43}, {14,46}, {9,30}, {5,40}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {25,40}, {19,36}, {13,28}, {16,52}, {17,44}, {6,32}, {17,35}, {24,47}, {9,47}, {18,36}, {19,39}, {21,53}, {15,35}, {5,41}, {15,48}, {19,33}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {16,40}, {26,41}, {6,51}, {9,33}, {20,35}, {15,38}, {22,39}, {8,32}, {7,52}, {4,54}, {23,40}, {12,53}, {13,31}, {5,31}, {4,51}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {2,53}, {19,42}, {24,29}, {17,34}, {1,45}, {10,30}, {6,42}, {22,54}, {12,51}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {26,38}, {16,39}, {5,37}, {25,43}, {3,44}, {2,29}, {14,44}, {25,54}, {1,36}, {13,30}, {24,32}, {9,45}, {13,52}, {18,45}, {2,46}, {3,39}, {23,35}, {15,41}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {8,43}, {7,39}, {9,51}, {9,38}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {27,30}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {21,41}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {27,39}, {6,30}, {6,38}, {19,46}, {11,40}, {13,42}, {25,31}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {9,32}, {18,32}, {21,32}, {22,31}, {20,47}, {16,45}, {26,29}, {19,34}, {23,37}, {10,45}, {15,53}, {20,46}, {22,42}, {12,36}, {13,49}, {21,39}, {3,33}, {27,35}, {23,47}, {27,50}, {18,41}, {23,43}, {26,28}, {22,43}, {16,49}, {27,42}, {24,41}, {7,33}, {15,47}, {27,29}, {13,45}, {4,37}, {12,29}, {2,35}, {20,53}, {17,47}, {8,50}, {21,38}, {25,37}, {8,53}, {6,41}, {10,49}, {4,36}, {6,29}, {2,31} }; // ETB54.111 // Bipartite(27,27) Valencies [18,18] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 21936950640377856 EdgesBipt[54][110]:={ {26,53}, {3,42}, {15,28}, {13,40}, {6,36}, {14,48}, {3,29}, {16,28}, {25,42}, {7,47}, {26,33}, {20,50}, {3,49}, {5,32}, {22,49}, {5,52}, {8,31}, {12,42}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {15,54}, {10,54}, {18,38}, {7,28}, {15,50}, {19,51}, {13,43}, {19,37}, {17,29}, {6,28}, {16,54}, {5,43}, {23,50}, {3,54}, {4,30}, {21,35}, {2,38}, {23,53}, {2,52}, {4,52}, {19,49}, {4,38}, {1,49}, {24,39}, {21,31}, {7,54}, {16,33}, {8,44}, {4,34}, {13,29}, {13,48}, {26,47}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {9,41}, {17,43}, {21,46}, {23,34}, {24,36}, {14,33}, {11,35}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {16,51}, {17,42}, {11,47}, {20,28}, {18,50}, {12,35}, {19,54}, {24,48}, {19,40}, {10,51}, {5,53}, {27,32}, {18,54}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,50}, {21,44}, {23,33}, {20,44}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {22,32}, {8,39}, {7,34}, {22,45}, {12,38}, {11,44}, {26,44}, {18,35}, {20,32}, {14,51}, {3,51}, {18,42}, {5,46}, {16,42}, {12,44}, {24,30}, {8,35}, {11,38}, {6,40}, {24,44}, {5,33}, {4,39}, {27,41}, {22,47}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {22,41}, {19,31}, {4,45}, {2,28}, {20,43}, {24,54}, {21,36}, {12,33}, {14,53}, {26,43}, {1,37}, {14,50}, {21,37}, {25,38}, {27,51}, {2,34}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {27,36}, {25,46}, {26,49}, {20,49}, {20,52}, {20,40}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {27,38}, {17,53}, {26,52}, {25,47}, {24,49}, {11,41}, {8,34}, {9,29}, {23,46}, {15,40}, {10,31}, {22,38}, {11,49}, {7,37}, {21,45}, {19,52}, {1,28}, {27,33}, {18,48}, {3,36}, {7,42}, {24,50}, {11,50}, {9,54}, {26,31}, {12,47}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {7,43}, {20,31}, {8,33}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {16,37}, {1,54}, {13,32}, {27,45}, {26,39}, {18,44}, {23,28}, {21,29}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {2,40}, {6,53}, {25,52}, {16,46}, {27,48}, {15,30}, {27,54}, {4,40}, {16,36}, {12,54}, {1,39}, {6,45}, {10,37}, {25,36}, {6,44}, {22,52}, {10,52}, {15,37}, {22,48}, {27,47}, {23,48}, {3,53}, {20,38}, {14,41}, {4,29}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {7,46}, {19,28}, {20,37}, {1,34}, {22,40}, {4,47}, {24,35}, {24,37}, {24,31}, {5,30}, {6,46}, {2,49}, {21,54}, {23,44}, {19,43}, {14,46}, {9,30}, {3,46}, {22,36}, {22,30}, {26,40}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {19,36}, {16,41}, {16,52}, {17,44}, {6,32}, {17,35}, {15,31}, {9,47}, {18,36}, {4,32}, {19,39}, {21,53}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {9,33}, {20,35}, {8,42}, {22,39}, {7,38}, {14,30}, {7,52}, {4,54}, {13,31}, {12,53}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {24,28}, {14,52}, {11,28}, {13,39}, {11,43}, {2,53}, {19,42}, {17,34}, {24,46}, {23,51}, {1,45}, {10,30}, {17,39}, {7,32}, {13,38}, {22,54}, {12,51}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {4,31}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {22,50}, {26,38}, {15,49}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {14,44}, {25,50}, {25,54}, {1,36}, {26,30}, {13,30}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {23,35}, {15,41}, {19,45}, {4,50}, {2,50}, {4,48}, {8,43}, {9,51}, {9,38}, {1,33}, {2,32}, {22,34}, {27,30}, {16,50}, {19,48}, {9,36}, {10,40}, {18,47}, {12,40}, {17,40}, {7,45}, {20,41}, {15,32}, {27,39}, {6,30}, {19,46}, {8,48}, {11,40}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {18,32}, {24,40}, {26,42}, {23,30}, {22,31}, {20,47}, {16,45}, {7,50}, {5,39}, {26,29}, {19,34}, {13,47}, {23,37}, {10,45}, {23,42}, {15,53}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {26,51}, {3,33}, {27,35}, {27,50}, {18,41}, {23,43}, {21,28}, {16,38}, {22,43}, {12,37}, {17,30}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {27,29}, {13,45}, {12,29}, {2,35}, {17,33}, {20,53}, {17,47}, {25,37}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {2,31} }; // ETB54.112 // Bipartite(27,27) Valencies [18,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13060694016 EdgesBipt[54][111]:={ {3,42}, {26,54}, {26,50}, {13,40}, {14,48}, {16,28}, {20,33}, {25,42}, {14,29}, {7,47}, {26,33}, {8,28}, {3,49}, {22,49}, {8,37}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {15,54}, {10,54}, {7,53}, {7,28}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {19,37}, {17,29}, {23,29}, {18,49}, {9,49}, {24,52}, {12,52}, {5,43}, {22,51}, {12,32}, {23,50}, {3,54}, {4,30}, {2,38}, {23,53}, {2,52}, {4,52}, {6,34}, {24,39}, {21,31}, {16,33}, {19,38}, {8,44}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {21,46}, {23,34}, {17,45}, {14,33}, {11,35}, {3,32}, {11,31}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {11,29}, {1,53}, {16,51}, {17,42}, {11,47}, {20,28}, {18,50}, {12,48}, {11,36}, {19,54}, {24,48}, {10,51}, {15,51}, {5,53}, {18,54}, {25,41}, {9,50}, {14,43}, {7,30}, {9,53}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {23,33}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {22,32}, {22,45}, {15,43}, {2,36}, {12,38}, {26,44}, {20,32}, {26,32}, {3,51}, {18,42}, {5,46}, {16,42}, {15,34}, {16,30}, {11,38}, {6,40}, {24,44}, {1,50}, {5,33}, {4,39}, {27,41}, {22,47}, {16,43}, {6,39}, {10,50}, {24,43}, {2,45}, {19,35}, {1,42}, {8,49}, {19,31}, {22,41}, {4,45}, {2,28}, {20,43}, {4,44}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {21,37}, {3,50}, {27,51}, {26,37}, {2,34}, {14,35}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {5,28}, {25,33}, {8,30}, {9,37}, {25,47}, {24,49}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {18,52}, {15,40}, {1,44}, {10,31}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {17,46}, {7,42}, {24,50}, {6,43}, {9,54}, {26,31}, {12,47}, {7,29}, {12,49}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {14,37}, {7,43}, {20,31}, {8,33}, {11,45}, {10,28}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {13,32}, {17,36}, {18,44}, {23,28}, {14,28}, {12,45}, {16,29}, {2,40}, {17,50}, {6,53}, {25,52}, {27,48}, {24,34}, {27,54}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {6,45}, {17,37}, {10,37}, {25,36}, {6,44}, {22,52}, {9,46}, {24,51}, {7,35}, {4,42}, {23,48}, {21,43}, {3,53}, {20,38}, {14,41}, {4,29}, {27,40}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {13,36}, {4,49}, {5,48}, {25,30}, {9,40}, {14,31}, {8,45}, {6,47}, {19,28}, {11,33}, {1,34}, {22,40}, {4,47}, {24,35}, {10,53}, {5,30}, {6,46}, {2,49}, {21,54}, {23,44}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {26,40}, {18,30}, {6,50}, {17,31}, {8,29}, {15,44}, {23,41}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {24,47}, {10,35}, {18,36}, {27,46}, {4,32}, {19,39}, {21,53}, {15,35}, {5,41}, {13,41}, {15,48}, {8,54}, {18,39}, {9,48}, {3,38}, {25,48}, {2,43}, {14,34}, {13,44}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {15,38}, {14,30}, {22,39}, {8,32}, {7,52}, {4,54}, {23,40}, {12,53}, {5,31}, {4,51}, {10,38}, {18,33}, {21,33}, {17,38}, {6,54}, {10,34}, {21,47}, {25,39}, {7,48}, {11,28}, {13,39}, {11,43}, {3,52}, {19,42}, {19,50}, {17,34}, {18,46}, {24,46}, {1,45}, {10,30}, {7,32}, {26,36}, {22,54}, {12,51}, {20,34}, {27,44}, {11,46}, {15,39}, {17,49}, {10,39}, {19,47}, {13,34}, {26,38}, {27,52}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {2,29}, {14,44}, {18,40}, {26,30}, {13,30}, {20,48}, {14,39}, {13,52}, {19,53}, {2,46}, {23,35}, {15,41}, {19,45}, {23,31}, {21,52}, {2,48}, {7,39}, {9,51}, {10,44}, {27,37}, {2,32}, {22,34}, {27,30}, {15,52}, {24,38}, {9,36}, {27,49}, {17,40}, {8,46}, {20,41}, {14,38}, {27,39}, {25,35}, {6,38}, {11,40}, {13,42}, {25,31}, {5,44}, {5,35}, {3,45}, {21,48}, {1,51}, {24,45}, {16,32}, {16,53}, {24,40}, {21,32}, {26,42}, {23,30}, {20,47}, {22,35}, {5,39}, {12,43}, {26,29}, {19,34}, {13,47}, {23,37}, {10,45}, {15,53}, {21,49}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {3,33}, {27,50}, {18,41}, {23,43}, {26,28}, {12,37}, {17,30}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {27,29}, {13,45}, {26,45}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {25,53}, {8,50}, {25,37}, {21,38}, {6,41}, {12,46}, {4,36}, {2,31} }; // ETB54.113 // Bipartite(9,45) Valencies [20,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 371504185344000000000 EdgesBipt[54][112]:={ {2,44}, {8,48}, {1,11}, {2,24}, {1,20}, {2,33}, {6,16}, {6,32}, {4,27}, {4,24}, {8,12}, {3,22}, {3,40}, {4,16}, {1,10}, {8,30}, {7,48}, {6,17}, {5,38}, {2,51}, {8,42}, {3,13}, {8,33}, {7,54}, {2,15}, {4,19}, {7,22}, {9,49}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {9,43}, {2,26}, {8,39}, {7,36}, {5,32}, {8,15}, {8,44}, {2,54}, {2,42}, {6,22}, {2,45}, {7,12}, {3,46}, {6,40}, {6,31}, {1,38}, {4,10}, {1,17}, {2,36}, {9,48}, {3,49}, {3,14}, {5,50}, {5,11}, {1,44}, {5,29}, {8,41}, {2,38}, {8,14}, {7,46}, {7,39}, {4,42}, {4,45}, {7,49}, {7,13}, {2,53}, {2,35}, {6,43}, {4,33}, {5,23}, {3,20}, {9,34}, {6,49}, {9,42}, {2,20}, {4,52}, {1,29}, {7,30}, {8,17}, {3,32}, {9,25}, {5,18}, {6,50}, {5,30}, {6,44}, {8,53}, {5,48}, {8,35}, {5,14}, {4,15}, {1,28}, {3,11}, {3,50}, {9,51}, {4,54}, {4,28}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {4,46}, {8,26}, {1,52}, {9,22}, {7,31}, {5,41}, {4,36}, {2,17}, {9,13}, {5,12}, {9,40}, {5,54}, {8,32}, {8,21}, {3,19}, {6,26}, {3,23}, {8,23}, {5,36}, {1,25}, {9,12}, {1,46}, {1,53}, {6,41}, {6,14}, {2,11}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {4,37}, {4,51}, {2,29}, {1,26}, {4,34}, {1,16}, {8,50}, {8,24}, {2,47}, {6,25}, {1,47}, {9,33}, {6,34}, {5,27}, {4,18}, {6,52}, {9,39}, {4,25}, {3,38}, {9,52}, {3,28}, {7,27}, {7,10}, {7,45}, {5,45}, {3,41}, {3,31}, {9,24}, {8,51}, {3,47}, {5,21}, {6,53}, {9,15}, {6,13}, {7,37}, {2,18}, {1,34}, {9,31}, {7,19}, {6,35}, {9,16}, {9,21}, {7,40}, {7,21}, {7,18} }; // ETB54.114 // Bipartite(14,40) Valencies [20,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 57789539942400000000 EdgesBipt[54][113]:={ {13,21}, {7,48}, {6,38}, {11,49}, {14,36}, {11,25}, {12,22}, {13,37}, {1,40}, {14,38}, {13,39}, {11,43}, {4,31}, {11,15}, {10,33}, {8,21}, {5,15}, {1,19}, {11,53}, {2,49}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {3,21}, {6,48}, {1,35}, {4,51}, {8,31}, {2,46}, {10,48}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {11,35}, {11,29}, {11,17}, {6,29}, {11,27}, {1,20}, {10,47}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {12,48}, {4,43}, {1,52}, {4,30}, {8,30}, {12,46}, {8,46}, {8,37}, {12,20}, {5,41}, {8,52}, {12,38}, {7,41}, {12,26}, {7,27}, {12,42}, {11,39}, {2,17}, {7,33}, {3,52}, {12,40}, {13,47}, {13,24}, {1,24}, {13,42}, {9,35}, {1,36}, {6,46}, {4,23}, {8,38}, {13,26}, {5,50}, {12,52}, {6,24}, {13,16}, {2,29}, {5,34}, {3,17}, {8,22}, {9,36}, {1,43}, {9,29}, {11,51}, {9,20}, {4,22}, {6,51}, {5,28}, {14,46}, {4,18}, {14,35}, {7,32}, {12,24}, {1,31}, {1,39}, {6,27}, {2,30}, {3,36}, {14,54}, {7,19}, {13,18}, {8,15}, {14,28}, {11,21}, {10,16}, {13,48}, {9,51}, {3,16}, {1,47}, {11,23}, {3,24}, {14,33}, {10,38}, {6,16}, {10,46}, {11,33}, {8,47}, {9,26}, {8,45}, {3,29}, {1,51}, {13,53}, {9,19}, {13,45}, {4,47}, {3,44}, {3,25}, {7,35}, {5,52}, {12,30}, {6,30}, {7,50}, {7,34}, {10,31}, {13,50}, {6,19}, {13,31}, {5,39}, {8,53}, {3,32}, {14,27}, {6,45}, {12,18}, {13,29}, {14,52}, {10,22}, {10,30}, {4,50}, {6,22}, {4,34}, {10,25}, {9,52}, {1,16}, {14,43}, {1,44}, {10,54}, {4,15}, {7,49}, {1,48}, {3,41}, {1,32}, {9,44}, {6,43}, {6,37}, {7,24}, {5,31}, {2,54}, {7,40}, {2,41}, {12,50}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {9,21}, {8,29}, {8,36}, {2,45}, {3,48}, {3,33}, {13,32}, {14,51}, {10,15}, {9,28}, {2,21}, {4,27}, {2,22}, {11,47}, {4,46}, {14,19}, {11,45}, {12,36}, {3,45}, {2,53}, {12,44}, {5,26}, {2,37}, {4,42}, {10,41}, {14,30}, {3,28}, {11,19}, {5,47}, {6,54}, {7,51}, {14,49}, {11,31}, {13,34}, {11,41}, {7,25}, {9,50}, {7,42}, {2,50}, {12,34}, {8,44}, {4,35}, {13,15}, {14,25}, {14,20}, {1,15}, {5,49}, {7,26}, {7,18}, {11,37}, {7,16}, {1,23}, {5,18}, {10,24}, {5,17}, {3,40}, {7,17}, {13,23}, {8,54}, {6,21}, {9,45}, {14,41}, {4,26}, {1,28}, {9,27}, {5,42}, {2,38}, {12,32}, {6,53}, {8,28}, {7,43}, {8,20}, {1,27}, {5,44}, {5,25}, {12,54}, {10,23}, {9,53}, {9,43}, {4,19}, {14,22}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {6,35}, {2,42}, {5,33}, {4,54}, {10,49}, {9,37}, {6,40} }; // ETB54.115 // Bipartite(18,36) Valencies [20,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1132462080 EdgesBipt[54][114]:={ {13,21}, {18,45}, {6,38}, {10,37}, {16,47}, {15,38}, {5,22}, {4,28}, {5,43}, {8,51}, {5,45}, {12,22}, {3,26}, {1,49}, {13,37}, {1,40}, {14,38}, {13,39}, {17,42}, {15,44}, {14,50}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {1,19}, {11,53}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {3,21}, {14,45}, {6,48}, {3,39}, {15,41}, {4,37}, {13,43}, {13,27}, {14,29}, {10,48}, {16,21}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {12,28}, {2,25}, {4,43}, {16,42}, {16,48}, {2,52}, {15,32}, {8,30}, {12,46}, {12,20}, {17,39}, {12,38}, {7,41}, {13,30}, {6,39}, {12,31}, {12,40}, {13,24}, {12,23}, {13,42}, {9,35}, {1,29}, {15,19}, {12,37}, {6,44}, {18,39}, {8,38}, {9,47}, {12,52}, {4,49}, {17,36}, {5,34}, {1,38}, {18,46}, {13,19}, {14,32}, {1,26}, {2,36}, {10,51}, {1,43}, {9,29}, {11,51}, {12,49}, {8,42}, {9,20}, {5,54}, {18,33}, {18,36}, {6,51}, {3,38}, {5,27}, {5,28}, {2,39}, {9,46}, {7,32}, {1,31}, {3,51}, {6,27}, {7,53}, {11,42}, {3,36}, {15,50}, {8,48}, {18,19}, {4,32}, {8,50}, {12,47}, {6,36}, {18,51}, {4,53}, {16,29}, {11,36}, {13,48}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {2,51}, {15,37}, {14,23}, {10,46}, {15,34}, {11,33}, {13,25}, {17,51}, {14,39}, {11,48}, {8,47}, {8,24}, {8,41}, {9,38}, {14,21}, {9,26}, {17,54}, {7,46}, {17,31}, {13,36}, {1,41}, {10,19}, {15,23}, {12,41}, {9,22}, {18,54}, {9,19}, {13,45}, {4,47}, {3,44}, {11,44}, {17,28}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {18,25}, {15,52}, {17,46}, {13,22}, {15,53}, {1,25}, {17,19}, {8,53}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {16,30}, {4,34}, {10,25}, {15,35}, {12,29}, {11,32}, {17,52}, {9,52}, {11,54}, {16,26}, {3,42}, {15,40}, {1,44}, {15,49}, {18,31}, {7,49}, {9,41}, {16,45}, {3,41}, {4,29}, {9,44}, {1,32}, {7,52}, {8,32}, {10,28}, {5,31}, {17,22}, {2,19}, {6,20}, {16,44}, {4,44}, {2,54}, {7,40}, {12,50}, {3,53}, {10,40}, {18,21}, {10,21}, {7,29}, {14,47}, {18,30}, {8,29}, {9,23}, {8,36}, {2,45}, {5,46}, {6,47}, {3,33}, {16,36}, {14,26}, {14,51}, {11,30}, {3,50}, {9,28}, {2,21}, {16,53}, {18,28}, {5,24}, {2,22}, {11,47}, {16,20}, {4,46}, {18,52}, {2,31}, {16,38}, {11,45}, {18,27}, {3,54}, {3,45}, {16,27}, {7,47}, {2,37}, {12,53}, {4,25}, {14,30}, {7,31}, {8,33}, {6,54}, {17,34}, {18,49}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {7,22}, {6,26}, {17,24}, {17,40}, {12,34}, {17,21}, {16,23}, {4,35}, {18,43}, {14,20}, {5,49}, {13,54}, {7,26}, {1,50}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {15,22}, {14,41}, {4,26}, {16,54}, {15,20}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {5,42}, {12,32}, {10,43}, {15,31}, {6,53}, {7,44}, {7,43}, {9,40}, {4,20}, {8,20}, {5,25}, {9,53}, {4,52}, {15,26}, {9,43}, {1,46}, {4,19}, {8,39}, {5,36}, {9,34}, {13,46}, {15,43}, {12,35}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {14,48}, {1,37}, {2,42}, {6,33}, {18,34}, {17,49}, {18,48}, {11,26}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {10,49}, {9,37} }; // ETB54.116 // Bipartite(24,30) Valencies [20,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18793251222977208360370176000000000 EdgesBipt[54][115]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {20,26}, {16,28}, {20,33}, {4,26}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {3,49}, {5,32}, {22,49}, {14,47}, {12,42}, {17,54}, {18,51}, {6,48}, {12,25}, {15,54}, {2,39}, {7,28}, {7,53}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {22,25}, {2,30}, {3,25}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {20,42}, {2,38}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {21,46}, {17,45}, {14,33}, {24,36}, {11,35}, {3,27}, {8,38}, {22,29}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {10,25}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {15,51}, {5,53}, {13,53}, {18,54}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {11,48}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {8,39}, {22,32}, {20,54}, {7,34}, {15,43}, {18,27}, {2,36}, {11,44}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {15,34}, {24,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {22,41}, {22,26}, {9,25}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {21,37}, {1,29}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {21,25}, {5,29}, {9,28}, {16,35}, {21,51}, {21,40}, {5,51}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {19,44}, {22,46}, {9,52}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {3,36}, {14,36}, {24,25}, {9,54}, {11,50}, {6,43}, {23,26}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {23,32}, {9,39}, {13,26}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,42}, {13,35}, {16,37}, {13,32}, {17,36}, {3,28}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {21,27}, {10,37}, {22,52}, {2,42}, {9,46}, {10,52}, {24,51}, {15,37}, {7,35}, {21,43}, {23,48}, {20,38}, {14,41}, {4,29}, {1,43}, {15,46}, {1,52}, {4,49}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {11,33}, {1,34}, {7,25}, {22,40}, {4,47}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {21,54}, {19,43}, {23,44}, {9,30}, {3,46}, {16,31}, {24,42}, {18,30}, {1,40}, {10,26}, {8,29}, {23,41}, {8,51}, {9,34}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {18,36}, {4,32}, {2,27}, {5,41}, {13,41}, {15,48}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {13,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {24,28}, {6,25}, {3,52}, {20,51}, {2,53}, {19,50}, {18,46}, {23,51}, {24,46}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {4,31}, {11,54}, {15,39}, {19,47}, {13,34}, {22,50}, {15,49}, {1,38}, {7,41}, {2,29}, {20,30}, {14,44}, {18,40}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {23,35}, {12,34}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {21,52}, {2,48}, {9,51}, {10,44}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {20,41}, {14,38}, {6,30}, {17,27}, {19,46}, {8,48}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {16,53}, {24,40}, {23,30}, {22,31}, {20,47}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {23,42}, {2,54}, {21,49}, {3,40}, {23,27}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {12,31}, {16,47}, {20,36}, {20,45}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {8,53}, {10,49}, {12,46}, {5,54} }; // ETB54.117 // Bipartite(24,30) Valencies [20,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4508684868648960 EdgesBipt[54][116]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {4,46}, {20,26}, {3,29}, {4,26}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {14,47}, {8,31}, {17,54}, {18,51}, {6,48}, {11,52}, {12,25}, {15,54}, {18,38}, {7,28}, {15,50}, {20,27}, {1,32}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {9,49}, {8,26}, {6,28}, {22,25}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {21,35}, {20,42}, {2,38}, {23,45}, {23,53}, {4,52}, {6,34}, {4,38}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {7,26}, {11,27}, {18,28}, {8,44}, {13,51}, {4,34}, {13,29}, {13,48}, {15,45}, {20,29}, {10,42}, {21,46}, {17,45}, {24,36}, {11,35}, {3,27}, {11,37}, {8,38}, {11,29}, {14,27}, {5,47}, {17,42}, {11,47}, {20,28}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {24,48}, {16,26}, {5,53}, {18,54}, {17,51}, {9,50}, {14,43}, {1,31}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {22,32}, {22,45}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {1,25}, {14,51}, {16,42}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {5,33}, {22,47}, {8,47}, {6,39}, {24,43}, {2,44}, {17,48}, {23,52}, {16,34}, {8,49}, {10,48}, {22,41}, {19,31}, {18,26}, {4,45}, {22,26}, {2,28}, {20,43}, {9,25}, {5,36}, {12,39}, {24,54}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {21,37}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {21,25}, {5,29}, {9,28}, {20,49}, {21,40}, {5,51}, {14,32}, {9,37}, {17,53}, {24,49}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {14,36}, {24,25}, {9,54}, {11,50}, {6,43}, {24,50}, {7,29}, {11,53}, {2,51}, {12,49}, {12,28}, {3,37}, {23,32}, {7,36}, {9,39}, {13,26}, {22,33}, {10,46}, {7,43}, {20,31}, {11,45}, {9,44}, {24,53}, {9,42}, {21,50}, {16,37}, {1,54}, {13,32}, {17,36}, {21,29}, {3,28}, {9,35}, {14,28}, {12,45}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {4,42}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {7,46}, {19,28}, {11,33}, {7,25}, {22,40}, {4,47}, {24,35}, {13,37}, {8,27}, {10,53}, {5,30}, {2,49}, {21,54}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {3,46}, {16,31}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {1,48}, {15,44}, {8,51}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {17,35}, {15,31}, {4,27}, {18,36}, {4,32}, {19,39}, {2,27}, {15,35}, {13,41}, {19,33}, {19,29}, {3,34}, {18,39}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {20,35}, {8,42}, {8,32}, {7,52}, {13,31}, {12,53}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {24,28}, {7,48}, {6,25}, {13,39}, {3,52}, {20,51}, {2,53}, {12,26}, {23,51}, {10,30}, {17,39}, {7,32}, {24,26}, {12,51}, {20,34}, {7,44}, {17,52}, {4,31}, {11,54}, {15,39}, {10,33}, {19,47}, {15,49}, {5,37}, {7,41}, {3,44}, {2,29}, {14,44}, {1,36}, {18,40}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {2,50}, {4,48}, {11,30}, {21,52}, {8,43}, {7,39}, {1,33}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {15,52}, {24,38}, {19,48}, {10,40}, {12,40}, {8,46}, {20,41}, {14,38}, {6,30}, {17,27}, {6,38}, {19,46}, {5,44}, {5,35}, {3,45}, {1,51}, {24,45}, {16,32}, {16,53}, {24,40}, {23,30}, {22,31}, {20,47}, {16,45}, {5,39}, {12,43}, {13,47}, {10,45}, {23,37}, {23,42}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {21,39}, {23,47}, {19,25}, {18,41}, {21,28}, {23,36}, {16,38}, {16,49}, {4,53}, {17,30}, {24,41}, {7,33}, {16,47}, {20,36}, {4,37}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {8,53}, {6,41}, {10,49}, {5,54}, {2,31} }; // ETB54.118 // Bipartite(12,42) Valencies [21,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 509799566595518889984000000 EdgesBipt[54][117]:={ {2,44}, {8,48}, {11,17}, {11,53}, {3,33}, {10,25}, {11,20}, {6,32}, {6,16}, {2,46}, {12,29}, {7,15}, {11,35}, {4,24}, {4,16}, {10,37}, {4,53}, {4,30}, {8,30}, {1,13}, {9,45}, {12,22}, {7,38}, {8,42}, {8,54}, {8,28}, {4,29}, {3,45}, {1,27}, {3,15}, {7,41}, {7,44}, {10,26}, {2,19}, {8,52}, {12,41}, {9,49}, {1,19}, {12,42}, {3,35}, {9,43}, {2,26}, {1,21}, {11,41}, {7,51}, {11,14}, {12,35}, {10,44}, {2,28}, {12,34}, {2,14}, {1,30}, {4,23}, {11,50}, {10,22}, {6,22}, {3,17}, {8,16}, {2,25}, {11,38}, {6,40}, {6,31}, {11,33}, {2,34}, {9,48}, {4,22}, {10,38}, {1,18}, {3,14}, {7,20}, {12,17}, {9,27}, {12,36}, {4,41}, {8,41}, {2,38}, {8,47}, {12,46}, {9,19}, {2,37}, {2,52}, {10,52}, {5,43}, {11,51}, {7,39}, {4,42}, {5,25}, {7,32}, {11,15}, {1,31}, {10,28}, {11,44}, {1,51}, {3,44}, {4,47}, {6,43}, {12,16}, {9,54}, {3,20}, {10,31}, {6,49}, {3,51}, {2,13}, {9,42}, {2,20}, {4,52}, {10,40}, {7,50}, {8,17}, {2,16}, {3,39}, {7,53}, {3,32}, {11,21}, {4,35}, {9,25}, {7,26}, {2,32}, {8,36}, {5,18}, {6,50}, {11,23}, {11,29}, {5,30}, {6,44}, {7,17}, {6,46}, {5,24}, {9,37}, {12,47}, {4,48}, {8,53}, {12,28}, {5,49}, {8,22}, {1,45}, {5,48}, {8,35}, {7,14}, {3,50}, {3,27}, {9,51}, {4,54}, {10,46}, {4,28}, {1,33}, {10,13}, {3,29}, {1,43}, {3,26}, {4,46}, {5,42}, {4,36}, {10,43}, {7,47}, {9,13}, {5,54}, {1,42}, {1,24}, {12,23}, {5,31}, {1,49}, {11,39}, {6,26}, {8,40}, {12,40}, {12,53}, {12,30}, {3,23}, {8,23}, {1,39}, {10,32}, {5,36}, {3,21}, {1,25}, {6,19}, {5,51}, {7,29}, {1,15}, {6,28}, {6,14}, {9,30}, {1,37}, {5,39}, {11,26}, {3,53}, {4,40}, {7,23}, {5,33}, {8,34}, {9,18}, {11,27}, {2,22}, {4,34}, {10,34}, {11,32}, {8,24}, {6,25}, {10,49}, {6,38}, {2,40}, {2,31}, {10,50}, {9,33}, {9,36}, {12,52}, {6,34}, {11,47}, {5,27}, {8,18}, {4,18}, {6,52}, {9,39}, {12,48}, {10,19}, {3,38}, {11,45}, {5,13}, {12,24}, {7,27}, {7,45}, {8,46}, {5,45}, {3,41}, {1,48}, {9,24}, {10,20}, {5,15}, {7,33}, {6,37}, {3,47}, {10,14}, {5,19}, {6,20}, {7,35}, {5,21}, {9,15}, {6,13}, {1,54}, {9,31}, {5,37}, {2,43}, {4,17}, {9,21}, {12,54}, {7,21}, {8,29}, {12,18}, {1,36}, {2,50}, {2,49}, {10,16} }; // ETB54.119 // Bipartite(21,33) Valencies [22,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 48855112065981766264946688000000000 EdgesBipt[54][118]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {20,26}, {16,28}, {20,33}, {4,26}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {3,49}, {5,32}, {14,47}, {12,42}, {17,54}, {18,51}, {6,48}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {2,30}, {3,25}, {1,41}, {3,54}, {14,54}, {20,42}, {2,38}, {8,24}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {21,46}, {17,45}, {14,33}, {11,35}, {3,27}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {10,25}, {12,48}, {11,36}, {19,40}, {16,26}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {11,48}, {17,32}, {5,50}, {21,30}, {16,23}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {8,39}, {20,54}, {7,34}, {15,43}, {18,27}, {2,36}, {11,44}, {15,24}, {10,23}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {7,23}, {5,33}, {1,22}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {14,23}, {9,25}, {4,44}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {21,37}, {1,29}, {21,22}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {21,25}, {5,29}, {9,28}, {16,35}, {21,51}, {21,40}, {5,51}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {13,23}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {3,36}, {20,23}, {14,36}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,42}, {13,35}, {16,37}, {13,32}, {17,36}, {17,23}, {3,28}, {12,24}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {21,27}, {10,37}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {21,43}, {20,38}, {14,41}, {4,29}, {1,43}, {15,46}, {1,52}, {16,22}, {4,49}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {15,22}, {21,54}, {19,43}, {9,30}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {10,26}, {1,23}, {8,29}, {7,22}, {8,51}, {9,34}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {18,36}, {14,24}, {3,24}, {4,32}, {2,27}, {5,41}, {13,41}, {15,48}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {14,30}, {17,24}, {7,52}, {13,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {6,25}, {3,52}, {20,51}, {2,53}, {19,50}, {18,46}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {4,31}, {11,54}, {15,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {15,49}, {1,38}, {7,41}, {8,23}, {20,30}, {2,29}, {14,44}, {18,40}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {12,34}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {21,52}, {2,48}, {2,23}, {9,51}, {10,44}, {12,30}, {6,33}, {2,32}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {20,41}, {14,38}, {6,30}, {17,27}, {19,46}, {8,48}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {16,53}, {20,47}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {2,54}, {21,49}, {3,40}, {12,36}, {13,49}, {21,39}, {3,33}, {19,25}, {21,28}, {16,38}, {16,49}, {4,53}, {12,37}, {17,30}, {5,24}, {12,31}, {16,47}, {20,36}, {20,45}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {8,53}, {10,49}, {12,46}, {5,54} }; // ETB54.120 // Bipartite(6,48) Valencies [24,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1263453020612491718590621286400000000 EdgesBipt[54][119]:={ {1,15}, {6,39}, {5,14}, {3,15}, {1,43}, {4,42}, {6,10}, {6,18}, {4,14}, {1,11}, {3,29}, {6,14}, {5,30}, {5,42}, {5,50}, {4,8}, {3,7}, {1,31}, {4,48}, {6,51}, {6,23}, {1,40}, {2,20}, {4,40}, {3,53}, {5,34}, {4,16}, {2,37}, {5,41}, {6,50}, {2,33}, {1,44}, {6,7}, {4,44}, {1,32}, {3,45}, {5,13}, {2,28}, {1,52}, {3,31}, {6,34}, {4,26}, {5,26}, {3,51}, {5,9}, {6,22}, {5,21}, {2,29}, {3,19}, {4,12}, {5,37}, {6,54}, {5,49}, {3,41}, {6,43}, {3,11}, {5,33}, {4,20}, {2,52}, {6,11}, {2,41}, {6,47}, {4,46}, {1,36}, {3,13}, {2,16}, {6,46}, {2,32}, {1,16}, {2,36}, {2,17}, {4,28}, {2,13}, {1,12}, {3,9}, {3,23}, {5,29}, {3,27}, {4,30}, {6,15}, {6,26}, {1,19}, {2,40}, {4,36}, {3,47}, {2,9}, {2,53}, {1,35}, {2,44}, {4,38}, {2,24}, {6,31}, {5,22}, {6,19}, {5,38}, {3,35}, {1,23}, {5,46}, {2,21}, {2,48}, {5,53}, {1,7}, {5,45}, {6,30}, {1,39}, {6,38}, {2,12}, {4,22}, {5,17}, {2,49}, {3,21}, {3,49}, {1,51}, {4,32}, {6,42}, {3,39}, {2,8}, {1,20}, {4,54}, {1,27}, {4,18}, {5,10}, {3,25}, {4,52}, {4,50}, {2,25}, {1,28}, {3,17}, {3,37}, {6,35}, {5,18}, {3,43}, {4,34}, {6,27}, {1,47}, {3,33}, {1,8}, {1,48}, {5,25}, {4,10}, {4,24}, {1,24}, {5,54}, {2,45} }; // ETB54.121 // Bipartite(6,48) Valencies [24,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3466579854281932800000000 EdgesBipt[54][120]:={ {1,15}, {4,35}, {5,32}, {6,48}, {3,15}, {2,38}, {6,10}, {6,18}, {4,14}, {2,22}, {6,14}, {1,31}, {4,27}, {3,7}, {5,35}, {1,40}, {2,20}, {1,25}, {6,13}, {5,24}, {1,9}, {6,50}, {2,33}, {6,32}, {4,44}, {1,32}, {6,40}, {5,7}, {5,13}, {2,28}, {6,45}, {3,31}, {6,34}, {2,18}, {3,51}, {6,22}, {5,21}, {3,19}, {4,12}, {5,37}, {6,54}, {3,41}, {6,53}, {1,34}, {2,14}, {3,11}, {5,23}, {4,37}, {2,10}, {4,20}, {2,52}, {2,41}, {1,10}, {4,46}, {1,17}, {6,46}, {2,50}, {1,16}, {6,21}, {2,36}, {2,17}, {4,28}, {1,50}, {4,53}, {5,51}, {3,9}, {4,29}, {4,43}, {5,43}, {5,19}, {5,15}, {6,8}, {3,23}, {4,45}, {6,37}, {5,29}, {2,42}, {3,27}, {2,34}, {4,30}, {6,26}, {4,36}, {4,21}, {3,47}, {2,9}, {1,26}, {2,44}, {6,29}, {4,38}, {4,11}, {3,52}, {4,51}, {3,35}, {1,23}, {2,54}, {5,27}, {5,53}, {1,7}, {5,45}, {6,30}, {2,46}, {5,8}, {1,39}, {6,38}, {2,12}, {4,22}, {1,49}, {5,47}, {3,28}, {5,31}, {3,12}, {2,49}, {1,42}, {5,48}, {6,16}, {3,49}, {1,41}, {3,44}, {6,42}, {3,39}, {4,54}, {5,11}, {3,25}, {2,26}, {4,52}, {3,20}, {1,33}, {2,25}, {3,36}, {3,17}, {6,24}, {3,43}, {1,47}, {3,33}, {1,8}, {5,16}, {5,39}, {4,13}, {2,30}, {1,18}, {1,48}, {4,19}, {5,40}, {1,24} }; // ETB54.122 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 10368 EdgesBipt[54][121]:={ {15,33}, {18,45}, {11,40}, {15,38}, {11,49}, {9,32}, {6,25}, {5,38}, {5,22}, {16,51}, {11,25}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {15,54}, {2,35}, {3,35}, {3,19}, {14,31}, {15,27}, {2,49}, {11,53}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {3,39}, {16,37}, {16,28}, {5,32}, {4,51}, {15,41}, {4,37}, {2,46}, {16,21}, {14,44}, {2,33}, {4,38}, {3,49}, {11,35}, {1,20}, {10,47}, {12,48}, {4,24}, {4,43}, {16,42}, {1,52}, {16,48}, {18,32}, {2,52}, {4,30}, {8,30}, {9,33}, {12,20}, {5,41}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {6,49}, {17,26}, {1,24}, {13,47}, {15,30}, {12,23}, {18,35}, {16,25}, {13,42}, {1,29}, {12,37}, {13,51}, {16,34}, {6,46}, {6,44}, {4,23}, {8,38}, {17,47}, {9,47}, {4,49}, {5,50}, {12,52}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {13,19}, {14,32}, {2,36}, {8,49}, {13,41}, {16,40}, {8,22}, {18,29}, {6,34}, {1,43}, {9,29}, {11,51}, {8,42}, {9,20}, {18,33}, {18,36}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {14,46}, {2,39}, {9,46}, {3,47}, {7,32}, {12,24}, {3,31}, {12,27}, {3,51}, {11,22}, {7,37}, {13,49}, {6,27}, {7,53}, {11,42}, {2,30}, {5,35}, {14,34}, {3,36}, {15,50}, {17,29}, {8,48}, {7,19}, {4,32}, {1,30}, {8,50}, {14,28}, {12,47}, {18,51}, {4,53}, {13,48}, {9,51}, {1,47}, {11,23}, {3,24}, {10,36}, {2,51}, {10,38}, {14,23}, {10,46}, {11,33}, {18,22}, {11,48}, {8,47}, {8,24}, {8,41}, {9,26}, {14,21}, {18,20}, {17,54}, {18,38}, {7,46}, {8,45}, {13,36}, {1,41}, {4,45}, {9,54}, {10,19}, {12,41}, {18,54}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {7,35}, {11,46}, {5,52}, {12,30}, {6,30}, {4,33}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {10,29}, {15,52}, {17,46}, {13,22}, {15,53}, {1,25}, {13,50}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {8,34}, {13,29}, {14,52}, {17,30}, {10,22}, {5,40}, {16,30}, {6,22}, {15,35}, {17,38}, {12,29}, {6,31}, {15,24}, {17,52}, {9,52}, {11,54}, {12,25}, {16,26}, {10,52}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {15,49}, {10,54}, {18,31}, {7,49}, {1,48}, {14,40}, {9,41}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {7,24}, {10,28}, {5,31}, {17,25}, {2,19}, {16,44}, {2,54}, {7,40}, {2,41}, {17,41}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {14,47}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {14,51}, {11,30}, {3,34}, {2,21}, {18,28}, {5,24}, {2,22}, {15,29}, {16,20}, {4,46}, {18,24}, {18,52}, {8,43}, {2,31}, {14,19}, {11,45}, {1,33}, {12,36}, {3,45}, {16,27}, {2,53}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {4,25}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {6,54}, {17,34}, {18,49}, {7,51}, {11,31}, {1,53}, {14,24}, {5,51}, {13,34}, {7,25}, {9,50}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {18,43}, {18,53}, {14,20}, {14,25}, {15,21}, {13,54}, {7,26}, {1,50}, {11,37}, {11,28}, {1,23}, {16,35}, {11,20}, {10,27}, {10,34}, {16,33}, {17,53}, {8,35}, {10,45}, {13,23}, {17,27}, {2,40}, {8,54}, {6,21}, {15,22}, {17,45}, {9,45}, {18,50}, {4,26}, {15,20}, {16,39}, {17,37}, {1,28}, {16,24}, {3,27}, {7,20}, {7,38}, {12,32}, {15,36}, {10,43}, {6,53}, {8,28}, {7,43}, {18,40}, {9,40}, {4,20}, {1,27}, {5,44}, {17,23}, {9,53}, {4,52}, {15,26}, {14,53}, {3,37}, {8,39}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {7,36}, {12,35}, {17,32}, {11,50}, {12,19}, {17,43}, {6,50}, {14,48}, {8,25}, {2,42}, {4,48}, {2,32}, {12,21}, {12,51}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {15,25}, {4,54}, {10,49}, {9,37}, {6,40} }; // ETB54.123 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 15552 EdgesBipt[54][122]:={ {13,21}, {6,52}, {15,33}, {18,45}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {11,49}, {5,38}, {11,25}, {4,28}, {5,43}, {8,51}, {5,45}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {17,42}, {15,44}, {11,43}, {14,50}, {15,54}, {2,35}, {17,33}, {4,31}, {8,40}, {8,21}, {3,19}, {15,27}, {1,19}, {11,53}, {2,49}, {3,23}, {8,23}, {1,21}, {14,45}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {10,48}, {16,21}, {14,44}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {11,27}, {1,20}, {12,48}, {4,24}, {1,52}, {16,48}, {18,32}, {2,52}, {4,30}, {12,46}, {7,45}, {8,46}, {12,20}, {5,41}, {17,39}, {8,52}, {12,26}, {13,30}, {6,39}, {11,39}, {6,49}, {10,26}, {17,20}, {7,33}, {12,40}, {17,26}, {1,24}, {13,24}, {13,47}, {12,23}, {16,25}, {13,42}, {1,29}, {15,19}, {13,51}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {6,44}, {18,39}, {4,23}, {8,38}, {13,26}, {9,47}, {4,49}, {5,50}, {12,52}, {6,24}, {2,29}, {18,47}, {18,46}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {10,51}, {8,22}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {7,54}, {18,36}, {6,51}, {3,38}, {3,43}, {15,28}, {14,46}, {2,39}, {14,35}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {7,37}, {13,49}, {6,27}, {7,53}, {2,30}, {5,35}, {3,36}, {4,21}, {17,29}, {8,48}, {14,54}, {4,32}, {2,44}, {1,30}, {14,28}, {6,36}, {18,51}, {16,29}, {3,30}, {9,51}, {11,23}, {10,36}, {14,33}, {2,51}, {10,38}, {14,23}, {10,46}, {15,34}, {18,22}, {13,25}, {14,39}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {18,20}, {17,54}, {3,29}, {17,31}, {13,36}, {1,41}, {2,23}, {1,51}, {9,54}, {15,23}, {9,22}, {18,54}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {7,35}, {2,43}, {2,27}, {12,30}, {4,33}, {7,50}, {7,34}, {11,24}, {10,31}, {5,19}, {10,44}, {10,29}, {18,25}, {15,52}, {17,46}, {13,22}, {15,53}, {1,25}, {2,20}, {9,30}, {5,39}, {17,19}, {8,53}, {3,32}, {6,45}, {14,52}, {9,25}, {10,30}, {5,40}, {4,50}, {7,23}, {4,34}, {17,38}, {6,31}, {11,32}, {17,52}, {9,52}, {11,54}, {3,42}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {15,49}, {18,31}, {7,49}, {1,48}, {14,40}, {9,41}, {16,31}, {15,39}, {4,29}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {9,24}, {5,31}, {17,22}, {2,19}, {16,44}, {12,50}, {17,41}, {12,43}, {5,20}, {17,50}, {18,41}, {10,40}, {18,21}, {10,21}, {14,47}, {18,30}, {2,28}, {9,23}, {7,21}, {8,36}, {8,27}, {2,45}, {6,47}, {3,48}, {3,33}, {16,36}, {13,32}, {1,45}, {10,50}, {14,51}, {11,30}, {3,34}, {2,21}, {16,53}, {4,27}, {16,46}, {18,28}, {5,24}, {2,22}, {11,47}, {15,29}, {4,46}, {18,24}, {14,19}, {16,38}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {12,44}, {7,47}, {4,42}, {5,29}, {16,50}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {6,54}, {7,51}, {15,47}, {11,31}, {1,53}, {13,34}, {7,25}, {9,50}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {17,24}, {12,34}, {6,28}, {16,23}, {4,35}, {13,33}, {18,43}, {18,53}, {14,20}, {14,25}, {15,21}, {5,49}, {7,26}, {11,37}, {11,28}, {2,47}, {16,35}, {11,20}, {14,42}, {10,27}, {10,34}, {16,33}, {17,53}, {8,35}, {10,45}, {17,27}, {17,45}, {14,41}, {18,50}, {15,20}, {17,37}, {1,28}, {13,28}, {16,24}, {16,52}, {3,27}, {7,20}, {2,38}, {12,32}, {15,36}, {15,31}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {12,54}, {10,23}, {9,53}, {15,26}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {12,19}, {13,52}, {17,43}, {6,50}, {14,48}, {1,37}, {8,25}, {2,42}, {18,42}, {6,33}, {12,21}, {18,34}, {12,51}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {5,30}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB54.124 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 246127211807628256868302848000000000 EdgesBipt[54][123]:={ {6,52}, {15,33}, {18,45}, {10,37}, {16,47}, {14,36}, {6,25}, {5,38}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {17,42}, {14,50}, {15,54}, {2,35}, {17,33}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {11,53}, {8,23}, {3,21}, {14,45}, {6,48}, {3,39}, {16,37}, {16,28}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {11,27}, {1,20}, {10,47}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {16,49}, {9,33}, {12,46}, {5,41}, {17,39}, {7,41}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {17,20}, {12,31}, {3,52}, {12,40}, {10,20}, {17,26}, {13,47}, {2,48}, {15,30}, {13,20}, {16,25}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {18,39}, {4,23}, {8,38}, {13,26}, {17,47}, {5,50}, {4,49}, {12,52}, {6,24}, {17,36}, {2,29}, {1,38}, {18,46}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {9,36}, {6,34}, {1,43}, {11,51}, {9,39}, {12,49}, {8,42}, {4,22}, {5,54}, {18,33}, {18,36}, {6,51}, {5,27}, {3,43}, {15,28}, {2,39}, {9,46}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {7,37}, {13,49}, {6,27}, {7,53}, {5,53}, {11,42}, {2,30}, {5,35}, {3,36}, {17,29}, {8,48}, {14,54}, {18,19}, {7,19}, {4,32}, {2,44}, {8,50}, {11,21}, {6,36}, {18,51}, {4,53}, {16,29}, {11,36}, {3,30}, {9,51}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {2,51}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {11,33}, {18,22}, {13,25}, {17,51}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {14,21}, {17,54}, {7,46}, {8,45}, {1,41}, {2,23}, {13,53}, {9,54}, {10,19}, {9,22}, {18,54}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {18,25}, {15,52}, {13,22}, {1,25}, {13,50}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {8,53}, {14,27}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {15,24}, {9,52}, {11,54}, {12,25}, {16,26}, {10,52}, {3,42}, {15,40}, {3,22}, {1,44}, {13,38}, {15,49}, {18,31}, {7,49}, {16,31}, {15,39}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {16,44}, {4,44}, {2,54}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {17,50}, {10,40}, {18,21}, {9,21}, {7,29}, {14,47}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {14,51}, {11,30}, {9,28}, {3,34}, {2,21}, {16,53}, {16,46}, {18,28}, {5,24}, {11,47}, {16,20}, {4,46}, {18,24}, {18,52}, {16,38}, {11,45}, {18,27}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {16,50}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {6,54}, {18,49}, {1,53}, {15,48}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {2,50}, {10,53}, {17,24}, {12,34}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {4,35}, {18,43}, {15,51}, {14,20}, {15,21}, {7,26}, {1,50}, {2,47}, {1,23}, {16,35}, {11,20}, {14,42}, {10,34}, {17,53}, {3,40}, {8,35}, {13,23}, {17,27}, {8,54}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {1,28}, {13,28}, {16,52}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {5,44}, {12,54}, {17,23}, {10,23}, {4,52}, {9,43}, {14,53}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {17,32}, {11,50}, {12,19}, {13,52}, {14,48}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {12,51}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB54.125 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5135673858195456000000 EdgesBipt[54][124]:={ {13,21}, {6,52}, {15,33}, {18,45}, {7,48}, {11,40}, {10,37}, {16,47}, {11,49}, {9,32}, {6,25}, {5,38}, {5,22}, {16,51}, {11,25}, {4,28}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {17,42}, {11,43}, {14,50}, {15,54}, {2,35}, {17,33}, {4,31}, {3,35}, {8,21}, {3,19}, {15,27}, {1,19}, {2,49}, {11,53}, {3,23}, {3,20}, {14,45}, {6,48}, {16,28}, {5,32}, {4,51}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {16,21}, {13,40}, {14,44}, {4,38}, {3,49}, {11,35}, {11,29}, {1,20}, {10,47}, {2,34}, {2,25}, {12,48}, {4,43}, {16,42}, {1,52}, {16,48}, {18,32}, {2,52}, {8,30}, {9,33}, {7,45}, {8,37}, {12,20}, {5,41}, {17,39}, {7,41}, {12,38}, {12,26}, {7,27}, {12,42}, {6,39}, {6,49}, {10,26}, {17,20}, {7,33}, {12,31}, {10,20}, {17,26}, {2,48}, {15,30}, {12,23}, {13,20}, {18,35}, {9,35}, {1,29}, {15,19}, {12,37}, {13,51}, {16,34}, {6,46}, {10,35}, {15,45}, {18,39}, {8,38}, {13,26}, {9,47}, {4,49}, {5,50}, {6,24}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {8,49}, {16,40}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {9,20}, {18,26}, {4,22}, {7,54}, {18,33}, {18,36}, {6,51}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {14,35}, {12,24}, {1,31}, {3,31}, {11,22}, {13,49}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {8,48}, {4,32}, {8,50}, {14,28}, {12,47}, {6,36}, {18,51}, {16,29}, {11,36}, {3,30}, {9,51}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {13,25}, {17,51}, {14,39}, {11,48}, {8,24}, {9,38}, {9,26}, {14,21}, {18,20}, {17,54}, {18,38}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {1,41}, {2,23}, {4,45}, {9,54}, {10,19}, {12,41}, {18,54}, {3,44}, {13,45}, {3,25}, {11,34}, {7,35}, {11,46}, {2,43}, {5,52}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,44}, {10,29}, {15,52}, {13,22}, {1,25}, {13,50}, {6,19}, {13,31}, {9,30}, {5,39}, {17,19}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {17,44}, {14,52}, {15,46}, {17,30}, {10,22}, {5,40}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {15,24}, {11,54}, {12,25}, {10,52}, {3,42}, {15,40}, {1,44}, {13,38}, {15,49}, {14,40}, {9,41}, {16,45}, {7,39}, {3,41}, {15,39}, {1,32}, {9,44}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {17,25}, {2,19}, {4,44}, {2,54}, {7,40}, {2,41}, {12,50}, {5,23}, {12,43}, {5,20}, {3,53}, {17,50}, {18,41}, {10,40}, {18,21}, {9,21}, {7,29}, {14,47}, {18,30}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {5,46}, {3,48}, {16,36}, {13,32}, {14,26}, {10,50}, {14,51}, {11,30}, {3,50}, {16,53}, {4,27}, {16,46}, {2,22}, {11,47}, {4,46}, {18,24}, {8,43}, {2,31}, {18,27}, {3,54}, {12,36}, {16,27}, {2,53}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {12,53}, {10,41}, {4,25}, {11,19}, {8,33}, {5,47}, {6,54}, {7,51}, {11,31}, {1,53}, {15,48}, {5,51}, {13,34}, {11,41}, {9,50}, {7,22}, {1,34}, {15,42}, {5,21}, {7,42}, {10,53}, {17,24}, {8,44}, {17,21}, {6,28}, {6,42}, {16,23}, {18,23}, {13,33}, {15,51}, {18,53}, {14,20}, {15,21}, {1,50}, {11,37}, {11,28}, {2,47}, {1,23}, {16,35}, {10,34}, {16,33}, {17,27}, {2,40}, {8,54}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {16,54}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {16,52}, {9,27}, {12,32}, {15,36}, {10,43}, {15,31}, {4,20}, {8,20}, {5,44}, {12,54}, {10,23}, {9,53}, {4,52}, {14,53}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {12,35}, {17,32}, {12,19}, {13,52}, {17,43}, {1,37}, {8,25}, {2,42}, {18,42}, {6,33}, {17,49}, {18,48}, {9,48}, {17,48}, {5,33}, {15,25}, {10,49}, {6,40} }; // ETB54.126 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8874444426961747968 EdgesBipt[54][125]:={ {13,21}, {6,52}, {15,33}, {18,45}, {7,48}, {6,38}, {10,37}, {16,47}, {14,36}, {9,32}, {6,25}, {5,38}, {16,51}, {11,25}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {13,37}, {1,40}, {16,22}, {13,39}, {15,44}, {11,43}, {14,50}, {15,54}, {2,35}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {14,31}, {15,27}, {1,19}, {2,49}, {3,23}, {8,23}, {1,21}, {14,45}, {6,48}, {16,37}, {16,28}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,40}, {14,44}, {4,38}, {3,49}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {10,47}, {12,48}, {4,24}, {4,43}, {16,42}, {15,32}, {8,30}, {16,49}, {9,33}, {8,46}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {17,20}, {7,33}, {3,52}, {10,20}, {1,24}, {13,24}, {13,47}, {2,48}, {5,37}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,29}, {13,51}, {16,34}, {15,45}, {16,43}, {6,44}, {18,39}, {4,23}, {13,26}, {17,47}, {5,50}, {4,49}, {12,52}, {6,24}, {17,36}, {5,34}, {18,47}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {8,49}, {16,40}, {10,51}, {8,22}, {18,29}, {9,36}, {6,34}, {18,26}, {4,22}, {5,54}, {18,33}, {18,36}, {6,51}, {8,19}, {5,27}, {3,43}, {5,28}, {14,46}, {2,39}, {14,35}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {13,49}, {6,27}, {7,53}, {2,30}, {3,36}, {15,50}, {17,29}, {8,48}, {14,54}, {7,19}, {4,32}, {2,44}, {1,30}, {8,50}, {14,28}, {11,21}, {12,47}, {6,36}, {18,51}, {16,29}, {11,36}, {13,48}, {9,51}, {1,47}, {11,23}, {3,24}, {10,38}, {14,23}, {10,46}, {15,34}, {14,39}, {11,48}, {4,41}, {8,41}, {9,26}, {14,21}, {18,20}, {17,54}, {18,38}, {7,46}, {8,45}, {11,52}, {2,23}, {1,51}, {13,53}, {9,54}, {10,19}, {15,23}, {9,22}, {18,54}, {3,44}, {4,47}, {3,25}, {11,34}, {17,28}, {7,35}, {11,46}, {5,52}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {10,31}, {9,31}, {5,19}, {10,29}, {18,25}, {15,52}, {17,46}, {13,22}, {15,53}, {13,31}, {5,39}, {17,19}, {8,53}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {13,29}, {9,25}, {17,30}, {10,22}, {4,50}, {12,45}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {11,32}, {15,24}, {17,52}, {9,52}, {12,25}, {11,54}, {10,52}, {3,42}, {15,40}, {3,22}, {14,37}, {1,44}, {13,38}, {15,49}, {7,49}, {1,48}, {14,40}, {9,41}, {16,31}, {7,39}, {3,41}, {4,29}, {9,44}, {6,43}, {8,32}, {7,24}, {10,28}, {9,24}, {17,25}, {2,19}, {6,20}, {2,54}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {5,20}, {3,53}, {2,26}, {17,50}, {10,40}, {18,21}, {7,29}, {18,30}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,33}, {14,26}, {10,50}, {11,30}, {3,50}, {3,34}, {2,21}, {16,46}, {2,22}, {11,47}, {16,20}, {4,46}, {18,24}, {18,52}, {2,31}, {14,19}, {16,38}, {11,45}, {1,33}, {18,27}, {3,54}, {12,36}, {3,45}, {2,53}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {12,53}, {10,41}, {4,25}, {14,30}, {7,31}, {12,33}, {11,19}, {12,39}, {5,47}, {6,54}, {17,34}, {7,51}, {14,49}, {1,53}, {11,41}, {9,50}, {7,22}, {6,26}, {15,42}, {13,35}, {5,21}, {2,50}, {7,42}, {12,34}, {8,44}, {17,21}, {6,42}, {16,23}, {13,33}, {18,43}, {15,51}, {18,53}, {7,26}, {11,37}, {11,28}, {10,24}, {11,20}, {10,34}, {16,33}, {3,40}, {8,35}, {17,27}, {2,40}, {8,54}, {6,21}, {15,22}, {17,45}, {9,45}, {14,41}, {17,37}, {1,28}, {13,28}, {16,24}, {16,52}, {3,27}, {7,20}, {9,27}, {7,38}, {15,36}, {10,43}, {15,31}, {6,53}, {7,44}, {8,28}, {9,49}, {9,40}, {4,20}, {5,25}, {12,54}, {17,23}, {10,23}, {9,53}, {4,52}, {15,26}, {9,43}, {14,53}, {1,46}, {4,19}, {8,39}, {14,22}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {12,35}, {6,35}, {17,32}, {11,50}, {17,43}, {14,48}, {1,37}, {18,42}, {16,32}, {6,33}, {12,21}, {2,32}, {18,34}, {12,51}, {18,48}, {5,48}, {17,48}, {15,25}, {5,30}, {11,38}, {10,49} }; // ETB54.127 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 146081389744226304 EdgesBipt[54][126]:={ {13,21}, {6,52}, {18,45}, {11,40}, {10,37}, {16,47}, {11,49}, {14,36}, {6,25}, {5,38}, {5,22}, {11,25}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {12,22}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {17,42}, {15,44}, {11,43}, {14,50}, {15,54}, {2,35}, {17,33}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {11,53}, {2,49}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {6,48}, {16,37}, {16,28}, {5,32}, {4,51}, {15,41}, {4,37}, {4,40}, {14,29}, {10,48}, {13,40}, {6,32}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {10,42}, {11,27}, {1,20}, {10,47}, {2,34}, {12,28}, {2,25}, {4,24}, {1,52}, {2,52}, {15,32}, {4,30}, {8,30}, {16,49}, {9,33}, {12,46}, {5,41}, {17,39}, {7,41}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {17,20}, {12,31}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {13,47}, {2,48}, {15,30}, {12,23}, {13,20}, {16,25}, {13,42}, {1,29}, {15,19}, {12,37}, {13,51}, {16,34}, {6,46}, {15,45}, {16,43}, {6,44}, {18,39}, {8,38}, {13,26}, {17,47}, {5,50}, {4,49}, {17,36}, {2,29}, {5,34}, {1,38}, {18,46}, {13,19}, {14,32}, {2,36}, {16,40}, {10,51}, {9,36}, {6,34}, {1,43}, {9,39}, {12,49}, {8,42}, {4,22}, {5,54}, {18,33}, {18,36}, {5,27}, {15,28}, {2,39}, {9,46}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {3,51}, {11,22}, {1,39}, {7,37}, {13,49}, {6,27}, {7,53}, {2,30}, {14,34}, {3,36}, {15,50}, {4,21}, {17,29}, {8,48}, {14,54}, {18,19}, {7,19}, {2,44}, {1,30}, {8,50}, {11,21}, {6,36}, {18,51}, {4,53}, {16,29}, {11,36}, {13,48}, {9,51}, {1,47}, {3,24}, {14,33}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {18,22}, {17,51}, {11,48}, {8,47}, {8,24}, {8,41}, {17,54}, {7,46}, {8,45}, {11,52}, {1,41}, {1,51}, {13,53}, {9,54}, {10,19}, {15,23}, {9,22}, {12,41}, {18,54}, {9,19}, {4,47}, {3,44}, {11,44}, {11,34}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {7,34}, {9,31}, {10,29}, {18,25}, {15,52}, {13,22}, {15,53}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {8,53}, {3,32}, {14,27}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {14,52}, {9,25}, {15,46}, {17,30}, {10,30}, {5,40}, {7,23}, {12,45}, {10,25}, {15,35}, {17,38}, {9,52}, {11,54}, {16,26}, {10,52}, {3,42}, {14,43}, {3,22}, {13,38}, {18,31}, {7,49}, {1,48}, {14,40}, {6,23}, {16,31}, {3,41}, {15,39}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {5,31}, {16,44}, {4,44}, {2,54}, {7,40}, {12,50}, {17,41}, {5,23}, {5,20}, {3,53}, {2,26}, {17,50}, {18,21}, {10,21}, {9,21}, {7,29}, {14,47}, {18,30}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,33}, {10,50}, {14,51}, {11,30}, {3,50}, {9,28}, {2,21}, {16,53}, {16,46}, {18,28}, {5,24}, {2,22}, {11,47}, {16,20}, {4,46}, {18,24}, {18,52}, {2,31}, {16,38}, {11,45}, {1,33}, {18,27}, {3,54}, {12,36}, {3,45}, {2,53}, {12,44}, {7,47}, {4,42}, {5,29}, {16,50}, {12,53}, {10,41}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {6,54}, {18,49}, {14,49}, {11,31}, {15,48}, {14,24}, {5,51}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {6,41}, {17,24}, {8,44}, {17,21}, {6,28}, {16,23}, {4,35}, {13,33}, {18,43}, {14,20}, {14,25}, {15,21}, {5,49}, {7,26}, {1,50}, {2,47}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,34}, {17,53}, {3,40}, {8,35}, {17,27}, {2,40}, {8,54}, {6,21}, {17,45}, {9,45}, {14,41}, {4,26}, {1,28}, {13,28}, {16,52}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {6,53}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {4,20}, {8,20}, {5,25}, {12,54}, {17,23}, {10,23}, {15,26}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {5,36}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {6,35}, {17,32}, {12,19}, {6,50}, {1,37}, {18,42}, {4,48}, {16,32}, {18,34}, {12,51}, {18,48}, {11,26}, {3,46}, {9,48}, {17,48}, {5,33}, {15,25}, {18,37}, {11,38}, {9,37} }; // ETB54.128 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 481469424205824 EdgesBipt[54][127]:={ {13,21}, {6,52}, {7,48}, {6,38}, {16,47}, {15,38}, {11,49}, {9,32}, {5,38}, {5,22}, {16,51}, {11,25}, {4,28}, {8,51}, {5,45}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {15,27}, {1,19}, {11,53}, {2,49}, {3,23}, {8,23}, {1,21}, {14,45}, {6,48}, {3,39}, {16,37}, {5,32}, {4,51}, {1,35}, {15,41}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {10,48}, {16,21}, {13,40}, {14,44}, {2,33}, {6,32}, {17,35}, {3,49}, {11,29}, {10,42}, {6,29}, {10,47}, {2,34}, {2,25}, {12,48}, {4,24}, {4,43}, {1,52}, {16,48}, {18,32}, {15,32}, {4,30}, {16,49}, {12,46}, {7,45}, {8,37}, {17,39}, {8,52}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {7,33}, {12,31}, {17,26}, {1,24}, {13,24}, {12,23}, {13,20}, {18,35}, {16,25}, {13,42}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {13,51}, {16,34}, {6,46}, {10,35}, {6,44}, {8,38}, {17,47}, {9,47}, {4,49}, {5,50}, {6,24}, {2,29}, {5,34}, {18,47}, {13,19}, {14,32}, {8,49}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {12,49}, {9,20}, {18,26}, {5,54}, {18,36}, {6,51}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {11,22}, {7,37}, {13,49}, {6,27}, {7,53}, {11,42}, {2,30}, {5,35}, {14,34}, {3,36}, {15,50}, {4,21}, {17,29}, {14,54}, {4,32}, {2,44}, {1,30}, {8,50}, {14,28}, {11,21}, {12,47}, {6,36}, {16,29}, {3,30}, {13,48}, {1,47}, {3,24}, {10,36}, {14,33}, {14,23}, {10,46}, {15,34}, {11,33}, {13,25}, {17,51}, {14,39}, {8,47}, {8,41}, {9,38}, {9,26}, {14,21}, {18,20}, {18,38}, {7,46}, {8,45}, {17,31}, {13,36}, {1,41}, {4,45}, {9,54}, {10,19}, {18,54}, {11,44}, {13,45}, {3,25}, {11,34}, {17,28}, {7,35}, {11,46}, {2,43}, {5,52}, {12,30}, {4,33}, {1,22}, {7,34}, {10,31}, {10,29}, {18,25}, {15,52}, {15,53}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {17,19}, {8,53}, {14,27}, {18,44}, {16,41}, {14,52}, {9,25}, {15,46}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {17,38}, {6,31}, {11,32}, {15,24}, {17,52}, {9,52}, {12,25}, {11,54}, {10,52}, {3,42}, {15,40}, {3,22}, {10,54}, {7,49}, {1,48}, {14,40}, {9,41}, {16,45}, {7,39}, {4,36}, {15,39}, {9,44}, {1,54}, {6,43}, {7,24}, {10,28}, {9,24}, {17,25}, {2,19}, {6,20}, {16,44}, {4,44}, {2,54}, {2,41}, {12,50}, {17,41}, {5,23}, {12,43}, {5,20}, {2,26}, {17,50}, {18,41}, {10,40}, {10,21}, {7,29}, {14,47}, {18,30}, {8,29}, {9,23}, {7,21}, {13,44}, {8,27}, {2,45}, {5,46}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {14,51}, {11,30}, {3,50}, {9,28}, {3,34}, {2,21}, {16,53}, {4,27}, {16,46}, {18,28}, {2,22}, {15,29}, {16,20}, {18,24}, {18,52}, {8,43}, {2,31}, {11,45}, {1,33}, {3,54}, {12,36}, {16,27}, {2,53}, {5,26}, {7,47}, {2,37}, {4,42}, {10,41}, {4,25}, {14,30}, {11,19}, {8,33}, {12,39}, {5,47}, {18,49}, {7,51}, {11,31}, {1,53}, {15,48}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {10,53}, {17,40}, {12,34}, {17,21}, {6,28}, {16,23}, {18,23}, {13,33}, {15,51}, {18,53}, {14,20}, {13,54}, {11,37}, {1,23}, {16,35}, {10,24}, {11,20}, {14,42}, {10,34}, {16,33}, {17,53}, {8,35}, {10,45}, {17,27}, {15,22}, {17,45}, {18,50}, {15,20}, {16,39}, {17,37}, {1,28}, {13,28}, {16,24}, {3,27}, {7,20}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {6,53}, {7,44}, {8,28}, {9,49}, {18,40}, {9,40}, {4,20}, {5,44}, {12,54}, {17,23}, {10,23}, {9,53}, {4,52}, {15,26}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {15,43}, {4,39}, {12,35}, {7,36}, {11,50}, {12,19}, {13,52}, {17,43}, {6,50}, {8,25}, {2,42}, {18,42}, {4,48}, {16,32}, {2,32}, {12,51}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,33}, {18,37}, {5,30}, {4,54}, {11,38}, {9,37}, {6,40} }; // ETB54.129 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1358954496 EdgesBipt[54][128]:={ {13,21}, {15,33}, {18,45}, {7,48}, {6,38}, {11,40}, {16,47}, {15,38}, {11,49}, {14,36}, {9,32}, {6,25}, {5,22}, {16,51}, {11,25}, {5,43}, {8,51}, {3,26}, {12,22}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {11,43}, {4,31}, {8,40}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {11,53}, {3,23}, {10,39}, {3,21}, {14,45}, {6,48}, {3,39}, {16,37}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {4,40}, {13,27}, {16,21}, {14,44}, {2,33}, {6,32}, {4,38}, {11,35}, {11,29}, {10,42}, {11,27}, {1,20}, {10,47}, {2,34}, {12,28}, {2,25}, {4,43}, {16,42}, {1,52}, {16,48}, {2,52}, {15,32}, {4,30}, {12,46}, {8,46}, {8,37}, {5,41}, {17,39}, {7,41}, {12,26}, {13,30}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {10,20}, {17,26}, {1,24}, {13,24}, {2,48}, {15,30}, {5,37}, {16,25}, {13,42}, {1,29}, {15,19}, {12,37}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {4,23}, {8,38}, {13,26}, {17,47}, {9,47}, {4,49}, {5,50}, {17,36}, {2,29}, {18,47}, {1,38}, {18,46}, {1,26}, {13,19}, {2,36}, {13,41}, {16,40}, {10,51}, {8,22}, {18,29}, {9,36}, {9,29}, {9,39}, {12,49}, {8,42}, {9,20}, {18,26}, {4,22}, {5,54}, {18,33}, {18,36}, {8,19}, {3,43}, {15,28}, {5,28}, {14,46}, {9,46}, {3,47}, {14,35}, {1,42}, {12,24}, {1,31}, {12,27}, {3,51}, {11,22}, {13,49}, {6,27}, {7,53}, {5,53}, {11,42}, {2,30}, {5,35}, {3,36}, {15,50}, {4,21}, {17,29}, {14,54}, {18,19}, {1,30}, {8,50}, {14,28}, {11,21}, {12,47}, {6,36}, {18,51}, {16,29}, {13,48}, {1,47}, {3,24}, {10,36}, {14,33}, {2,51}, {15,37}, {10,38}, {14,23}, {10,46}, {15,34}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {18,20}, {17,54}, {18,38}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {2,23}, {1,51}, {13,53}, {9,54}, {15,23}, {18,54}, {3,44}, {4,47}, {13,45}, {3,25}, {11,34}, {7,35}, {2,43}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {10,29}, {15,52}, {15,53}, {13,50}, {2,20}, {13,31}, {5,39}, {17,19}, {8,53}, {3,32}, {14,27}, {18,44}, {7,28}, {6,45}, {17,44}, {9,25}, {15,46}, {17,30}, {10,22}, {5,40}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {17,52}, {9,52}, {16,26}, {3,42}, {14,37}, {1,44}, {10,54}, {18,31}, {7,49}, {1,48}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {7,52}, {6,43}, {8,32}, {7,24}, {10,28}, {9,24}, {17,22}, {2,19}, {6,20}, {16,44}, {4,44}, {2,54}, {2,41}, {12,50}, {17,41}, {5,23}, {17,50}, {18,41}, {10,40}, {10,21}, {9,21}, {8,29}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {3,33}, {13,32}, {14,26}, {1,45}, {14,51}, {11,30}, {3,50}, {9,28}, {3,34}, {16,53}, {18,28}, {2,22}, {11,47}, {18,24}, {18,52}, {8,43}, {14,19}, {11,45}, {1,33}, {18,27}, {3,54}, {12,36}, {5,26}, {12,44}, {2,37}, {16,50}, {12,53}, {4,25}, {3,28}, {14,30}, {7,31}, {8,33}, {12,39}, {6,54}, {17,34}, {18,49}, {7,51}, {14,49}, {11,31}, {1,53}, {15,48}, {5,51}, {13,34}, {7,25}, {9,50}, {1,34}, {15,42}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {17,40}, {17,21}, {6,28}, {18,23}, {15,51}, {14,20}, {7,26}, {2,47}, {16,35}, {10,24}, {11,20}, {16,33}, {8,35}, {13,23}, {17,27}, {2,40}, {8,54}, {6,21}, {17,45}, {9,45}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {13,28}, {16,24}, {16,52}, {7,20}, {9,27}, {7,38}, {2,38}, {12,32}, {10,43}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {12,54}, {17,23}, {4,52}, {9,43}, {14,53}, {3,37}, {14,22}, {9,42}, {5,36}, {16,19}, {9,34}, {13,46}, {15,43}, {4,39}, {12,35}, {6,35}, {17,32}, {11,50}, {12,19}, {13,52}, {6,50}, {14,48}, {1,37}, {8,25}, {18,42}, {4,48}, {16,32}, {2,32}, {12,21}, {18,34}, {17,49}, {3,46}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {4,54}, {11,38}, {10,49}, {6,40} }; // ETB54.130 // Bipartite(18,36) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 566231040 EdgesBipt[54][129]:={ {6,52}, {15,33}, {18,45}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {11,49}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {16,51}, {11,25}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {17,42}, {11,43}, {14,50}, {15,54}, {2,35}, {4,31}, {3,35}, {15,27}, {11,53}, {3,23}, {8,23}, {10,39}, {3,20}, {1,21}, {3,21}, {14,45}, {6,48}, {3,39}, {7,30}, {8,31}, {4,37}, {2,46}, {13,27}, {10,48}, {16,21}, {13,40}, {14,44}, {2,33}, {3,49}, {11,35}, {11,29}, {10,42}, {1,20}, {2,34}, {2,25}, {12,48}, {4,24}, {16,42}, {1,52}, {16,48}, {2,52}, {15,32}, {16,49}, {9,33}, {8,46}, {8,37}, {7,41}, {12,26}, {6,39}, {6,49}, {10,26}, {17,20}, {7,33}, {12,31}, {12,40}, {1,24}, {13,47}, {2,48}, {15,30}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,36}, {1,29}, {15,19}, {12,37}, {13,51}, {16,34}, {6,46}, {10,35}, {15,45}, {16,43}, {6,44}, {18,39}, {4,23}, {8,38}, {13,26}, {9,47}, {4,49}, {17,36}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {13,19}, {14,32}, {8,49}, {13,41}, {18,29}, {6,34}, {9,29}, {9,39}, {12,49}, {8,42}, {9,20}, {7,54}, {18,33}, {18,36}, {6,51}, {8,19}, {3,38}, {5,27}, {3,43}, {5,28}, {14,46}, {2,39}, {9,46}, {3,47}, {14,35}, {1,42}, {7,32}, {1,31}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {2,30}, {5,53}, {5,35}, {3,36}, {15,50}, {4,21}, {14,54}, {18,19}, {7,19}, {4,32}, {1,30}, {14,28}, {12,47}, {6,36}, {18,51}, {4,53}, {16,29}, {9,51}, {1,47}, {11,23}, {10,36}, {14,33}, {2,51}, {15,37}, {14,23}, {10,46}, {18,22}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {17,54}, {3,29}, {11,52}, {17,31}, {13,36}, {2,23}, {4,45}, {10,19}, {12,41}, {9,22}, {18,54}, {11,44}, {4,47}, {13,45}, {3,25}, {11,34}, {17,28}, {2,43}, {5,52}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {10,31}, {5,19}, {10,44}, {18,25}, {17,46}, {13,22}, {15,53}, {13,50}, {17,19}, {8,53}, {3,32}, {14,27}, {16,41}, {13,29}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {17,52}, {9,52}, {15,40}, {3,22}, {1,44}, {13,38}, {10,54}, {18,31}, {1,48}, {6,23}, {16,31}, {16,45}, {7,39}, {3,41}, {4,29}, {9,44}, {1,32}, {1,54}, {7,52}, {6,43}, {7,24}, {10,28}, {9,24}, {5,31}, {17,25}, {2,19}, {6,20}, {4,44}, {2,41}, {17,41}, {5,20}, {3,53}, {17,50}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {13,44}, {2,45}, {5,46}, {13,32}, {14,26}, {1,45}, {10,50}, {14,51}, {11,30}, {3,50}, {9,28}, {2,21}, {16,53}, {4,27}, {18,28}, {5,24}, {2,22}, {11,47}, {15,29}, {16,20}, {4,46}, {18,24}, {18,52}, {8,43}, {16,38}, {18,27}, {3,54}, {12,36}, {3,45}, {16,27}, {2,53}, {12,44}, {5,26}, {7,47}, {2,37}, {4,42}, {12,53}, {3,28}, {14,30}, {12,33}, {11,19}, {8,33}, {12,39}, {6,54}, {17,34}, {18,49}, {7,51}, {15,47}, {11,31}, {15,48}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {9,50}, {6,26}, {1,34}, {15,42}, {7,42}, {2,50}, {6,41}, {10,53}, {17,24}, {8,44}, {6,28}, {16,23}, {4,35}, {13,33}, {18,43}, {15,51}, {14,20}, {5,49}, {13,54}, {7,26}, {1,50}, {11,37}, {16,35}, {10,24}, {11,20}, {14,42}, {16,33}, {3,40}, {8,35}, {13,23}, {17,27}, {2,40}, {8,54}, {6,21}, {15,22}, {17,45}, {14,41}, {4,26}, {15,20}, {16,39}, {17,37}, {13,28}, {16,24}, {16,52}, {3,27}, {5,42}, {15,36}, {10,43}, {7,44}, {8,28}, {7,43}, {18,40}, {9,40}, {8,20}, {1,27}, {5,44}, {12,54}, {17,23}, {9,53}, {4,52}, {9,43}, {14,53}, {4,19}, {9,42}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {11,50}, {12,19}, {13,52}, {17,43}, {14,48}, {8,25}, {18,42}, {6,33}, {12,21}, {2,32}, {18,34}, {12,51}, {17,49}, {11,26}, {3,46}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {5,30}, {11,38}, {10,49}, {6,40} }; // ETB54.131 // Bipartite(27,27) Valencies [24,24] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 73708154151669596160 EdgesBipt[54][130]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {15,54}, {10,54}, {2,39}, {7,28}, {18,38}, {7,53}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {9,49}, {15,33}, {6,28}, {12,52}, {5,43}, {22,51}, {12,32}, {2,30}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {4,52}, {19,49}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {1,53}, {5,47}, {16,51}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {11,36}, {19,54}, {19,40}, {24,48}, {10,51}, {15,51}, {13,53}, {27,32}, {18,54}, {25,41}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,44}, {23,33}, {20,44}, {5,45}, {21,42}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {22,45}, {2,36}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {20,32}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {5,46}, {16,42}, {12,44}, {24,30}, {16,30}, {8,35}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {27,41}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {4,45}, {2,28}, {20,43}, {4,44}, {5,36}, {24,54}, {21,36}, {7,31}, {12,33}, {26,43}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {25,38}, {27,51}, {26,37}, {2,34}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {26,49}, {20,52}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {27,38}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {24,50}, {26,31}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {26,35}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {10,28}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {27,48}, {15,30}, {27,54}, {4,40}, {23,38}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {2,42}, {22,52}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {27,40}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {21,54}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {27,34}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {25,40}, {19,36}, {9,34}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {18,36}, {19,39}, {15,35}, {21,53}, {5,41}, {15,48}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {26,41}, {6,51}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {26,38}, {27,52}, {15,49}, {16,39}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {25,50}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {10,41}, {12,34}, {15,41}, {19,45}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {22,34}, {27,30}, {16,50}, {24,38}, {19,48}, {9,36}, {10,40}, {27,49}, {18,47}, {12,40}, {21,41}, {17,40}, {8,46}, {20,41}, {15,32}, {14,38}, {27,39}, {6,30}, {25,35}, {6,38}, {8,48}, {19,46}, {13,42}, {25,31}, {14,45}, {3,45}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {21,32}, {24,40}, {23,30}, {20,47}, {22,31}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {3,33}, {27,35}, {23,47}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {27,29}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {2,35}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29} }; // ETB54.132 // Bipartite(24,30) Valencies [25,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 410853908655636480000000 EdgesBipt[54][131]:={ {13,25}, {3,42}, {7,49}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {7,53}, {7,28}, {18,38}, {15,50}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {11,27}, {18,28}, {8,44}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {14,40}, {9,41}, {17,45}, {23,34}, {24,36}, {11,35}, {3,27}, {3,32}, {8,38}, {19,30}, {22,29}, {8,52}, {11,29}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,48}, {11,36}, {19,54}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {17,51}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {13,54}, {7,51}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {22,27}, {20,32}, {18,31}, {9,27}, {1,25}, {3,51}, {18,42}, {5,46}, {12,44}, {24,30}, {8,35}, {11,38}, {5,27}, {6,40}, {24,44}, {9,31}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {22,46}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {18,34}, {10,31}, {22,38}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,25}, {9,54}, {11,50}, {6,43}, {24,50}, {23,26}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {20,31}, {10,28}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {9,35}, {14,28}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {10,52}, {24,51}, {15,37}, {7,35}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {14,31}, {7,46}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {16,31}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {1,48}, {15,44}, {23,41}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {23,40}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {24,28}, {7,48}, {14,52}, {11,28}, {6,25}, {13,39}, {2,53}, {19,42}, {17,34}, {12,26}, {18,46}, {23,51}, {24,46}, {1,45}, {17,39}, {6,42}, {11,26}, {24,26}, {12,51}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {13,34}, {22,50}, {15,49}, {16,39}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {17,41}, {11,30}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,42}, {15,53}, {2,54}, {21,49}, {20,46}, {23,27}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {13,45}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {21,38}, {8,53}, {10,49}, {12,46}, {5,54}, {2,31} }; // ETB54.133 // Bipartite(15,39) Valencies [26,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2503432797876663334905839616000000000 EdgesBipt[54][132]:={ {6,52}, {15,33}, {10,37}, {14,36}, {6,25}, {5,38}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {14,50}, {15,54}, {2,35}, {4,31}, {8,21}, {3,19}, {15,27}, {1,19}, {11,53}, {8,23}, {12,16}, {2,18}, {3,21}, {14,45}, {6,48}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,29}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {11,29}, {11,35}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {5,41}, {7,41}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {12,40}, {10,20}, {13,47}, {2,48}, {15,30}, {13,20}, {6,18}, {1,29}, {15,19}, {12,37}, {6,46}, {10,35}, {15,45}, {4,23}, {11,18}, {8,38}, {13,26}, {5,50}, {4,49}, {12,52}, {6,24}, {2,29}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {3,43}, {15,28}, {2,39}, {9,46}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {7,37}, {13,49}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {13,17}, {14,54}, {7,19}, {4,32}, {2,44}, {8,50}, {11,21}, {6,36}, {8,17}, {4,53}, {10,16}, {11,36}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {2,51}, {15,37}, {10,38}, {14,23}, {6,16}, {10,46}, {15,34}, {11,33}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {14,21}, {7,46}, {8,45}, {1,41}, {2,23}, {13,53}, {9,54}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {15,52}, {13,22}, {1,25}, {13,50}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {8,53}, {14,27}, {7,28}, {6,45}, {12,18}, {13,29}, {9,25}, {15,46}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {15,24}, {9,52}, {11,54}, {12,25}, {10,52}, {3,42}, {1,16}, {15,40}, {3,22}, {1,44}, {13,38}, {15,49}, {7,49}, {15,39}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {14,47}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {14,51}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {11,47}, {4,46}, {11,45}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {6,54}, {1,53}, {15,48}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {2,50}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {15,51}, {14,20}, {15,21}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {14,42}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {8,54}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {12,54}, {10,23}, {4,52}, {9,43}, {14,53}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {11,50}, {12,19}, {13,52}, {14,48}, {1,37}, {2,42}, {2,32}, {6,33}, {12,21}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {15,25}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB54.134 // Bipartite(27,27) Valencies [26,26] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 21777738900836704321536000000 EdgesBipt[54][133]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {15,54}, {10,54}, {2,39}, {7,28}, {18,38}, {7,53}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {18,28}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {22,29}, {8,52}, {11,29}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {20,28}, {12,35}, {12,48}, {19,54}, {19,40}, {24,48}, {10,51}, {15,51}, {5,53}, {13,53}, {27,32}, {18,54}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {20,32}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {5,46}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {27,41}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {4,45}, {2,28}, {20,43}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {27,51}, {1,29}, {26,37}, {2,34}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {9,28}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {27,38}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {11,50}, {24,50}, {26,31}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {27,48}, {15,30}, {24,34}, {27,54}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {15,37}, {22,48}, {7,35}, {4,42}, {27,47}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {27,40}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {7,46}, {19,28}, {20,37}, {11,33}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {27,34}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {18,36}, {27,46}, {4,32}, {19,39}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {1,47}, {6,51}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {26,38}, {27,52}, {15,49}, {16,39}, {1,38}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {25,50}, {25,54}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {10,41}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {27,37}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {27,30}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {27,39}, {6,30}, {25,35}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {27,28}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {27,35}, {23,47}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {27,42}, {24,41}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {27,29}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {8,53}, {6,41}, {10,49}, {4,36}, {5,54}, {6,29} }; // ETB54.135 // Bipartite(27,27) Valencies [27,27] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 237134955816508133251262692011238509036699648000000000000 EdgesBipt[54][134]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {18,28}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {24,48}, {10,51}, {15,51}, {5,53}, {13,53}, {27,32}, {18,54}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {20,32}, {18,31}, {14,51}, {26,32}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {27,41}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {4,45}, {2,28}, {20,43}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {27,51}, {1,29}, {26,37}, {2,34}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {9,28}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {27,38}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {24,50}, {26,31}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {13,32}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {27,48}, {15,30}, {24,34}, {27,54}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {27,40}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {27,34}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {18,36}, {27,46}, {4,32}, {19,39}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {26,38}, {27,52}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {25,50}, {25,54}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {27,37}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {27,30}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {27,49}, {18,47}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {27,39}, {6,30}, {25,35}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {27,28}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {27,35}, {23,47}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {27,29}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.136 // Bipartite(12,42) Valencies [28,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 54955356778988513527852991250432000000 EdgesBipt[54][135]:={ {6,52}, {10,37}, {6,25}, {5,38}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {1,40}, {2,35}, {4,31}, {6,15}, {11,15}, {8,21}, {3,19}, {5,15}, {1,19}, {11,53}, {8,23}, {12,16}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {4,37}, {4,40}, {2,33}, {4,38}, {3,49}, {11,29}, {11,35}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {4,13}, {5,41}, {7,41}, {1,13}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {12,40}, {10,20}, {2,48}, {2,15}, {12,13}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {12,52}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {7,14}, {3,43}, {2,39}, {9,46}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {3,13}, {9,13}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {7,19}, {4,32}, {2,44}, {8,50}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {4,53}, {10,16}, {11,36}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {2,51}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {10,13}, {9,54}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {8,53}, {7,28}, {6,45}, {12,18}, {9,25}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {9,52}, {11,54}, {12,25}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {7,49}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {10,28}, {9,24}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {8,29}, {8,36}, {8,27}, {2,45}, {3,48}, {3,33}, {10,50}, {11,30}, {9,28}, {3,34}, {2,21}, {5,24}, {11,47}, {4,46}, {11,45}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {6,54}, {8,14}, {1,53}, {3,15}, {5,51}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {9,15}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {12,54}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {11,50}, {12,19}, {1,37}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB54.137 // Bipartite(18,36) Valencies [28,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 185794560 EdgesBipt[54][136]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {11,42}, {14,48}, {4,46}, {16,28}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {18,51}, {3,47}, {6,48}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {2,30}, {3,25}, {1,41}, {3,54}, {14,54}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {8,44}, {18,28}, {4,34}, {17,19}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {17,51}, {2,37}, {14,43}, {5,26}, {6,31}, {8,40}, {2,41}, {11,48}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {7,51}, {8,39}, {1,20}, {15,43}, {18,27}, {12,38}, {13,33}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {8,47}, {10,50}, {2,45}, {1,42}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {18,21}, {2,28}, {9,25}, {3,23}, {4,44}, {18,20}, {12,39}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {8,30}, {4,21}, {14,32}, {9,37}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {11,49}, {7,37}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {7,42}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {17,28}, {5,21}, {7,36}, {10,46}, {14,37}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {9,35}, {12,24}, {18,19}, {15,36}, {10,36}, {12,20}, {16,29}, {15,42}, {13,46}, {2,40}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {16,36}, {12,54}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {18,30}, {4,22}, {6,50}, {6,23}, {10,26}, {17,20}, {1,23}, {17,31}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {1,19}, {5,41}, {13,41}, {15,48}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {8,32}, {14,30}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,25}, {10,38}, {3,30}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {12,26}, {18,46}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {11,46}, {4,31}, {11,54}, {3,41}, {10,33}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {1,36}, {18,40}, {9,24}, {14,39}, {9,45}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {11,30}, {8,43}, {2,48}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {15,52}, {16,50}, {9,36}, {6,27}, {12,40}, {17,40}, {7,45}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {15,53}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {1,24}, {17,21}, {15,26}, {18,41}, {16,49}, {4,53}, {17,30}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {8,50}, {8,53}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.138 // Bipartite(26,28) Valencies [28,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122958865978930143167321395857679226907918336000000000000 EdgesBipt[54][137]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {26,27}, {11,52}, {11,34}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {11,27}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {24,48}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {25,41}, {2,37}, {17,51}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {22,27}, {20,32}, {9,27}, {18,31}, {14,51}, {26,32}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {4,45}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {26,37}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {25,46}, {9,28}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {24,50}, {26,31}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {13,32}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {26,38}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {25,54}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.139 // Bipartite(25,29) Valencies [29,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 137146427438037467378935403072026830012678144000000000000 EdgesBipt[54][138]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {25,41}, {2,37}, {17,51}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {14,51}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {9,26}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {25,46}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {24,50}, {23,26}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {13,32}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {12,26}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {25,54}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.140 // Bipartite(9,45) Valencies [30,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2898036392641972393070372585472000000000 EdgesBipt[54][139]:={ {2,44}, {6,48}, {8,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {9,28}, {2,33}, {6,16}, {8,12}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,53}, {4,50}, {8,30}, {2,23}, {1,13}, {5,38}, {2,51}, {9,45}, {7,38}, {8,42}, {8,54}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,43}, {3,25}, {3,15}, {7,41}, {7,44}, {1,40}, {2,15}, {4,19}, {7,22}, {4,31}, {9,49}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {9,43}, {2,26}, {7,34}, {8,39}, {3,52}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,44}, {8,27}, {2,54}, {2,42}, {6,22}, {3,18}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {1,17}, {2,36}, {9,48}, {1,50}, {4,22}, {3,49}, {7,11}, {7,20}, {5,50}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {8,41}, {2,38}, {8,47}, {9,19}, {8,14}, {7,46}, {8,45}, {2,39}, {7,32}, {1,31}, {3,12}, {7,49}, {7,13}, {2,53}, {7,25}, {7,43}, {2,35}, {1,22}, {6,12}, {6,30}, {4,47}, {6,43}, {5,23}, {9,54}, {9,34}, {6,49}, {3,51}, {9,42}, {2,20}, {6,18}, {2,48}, {4,52}, {1,29}, {7,50}, {8,17}, {3,39}, {7,53}, {4,35}, {9,25}, {7,16}, {2,32}, {6,33}, {7,26}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {7,17}, {6,46}, {8,11}, {5,24}, {9,37}, {8,53}, {5,48}, {8,35}, {9,10}, {5,14}, {1,28}, {4,13}, {7,14}, {3,27}, {9,51}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {8,26}, {5,42}, {1,52}, {9,22}, {7,31}, {6,15}, {5,41}, {2,17}, {6,51}, {7,47}, {9,13}, {5,12}, {9,40}, {5,54}, {8,32}, {8,21}, {3,19}, {6,27}, {1,49}, {5,44}, {8,23}, {5,36}, {3,21}, {1,25}, {6,19}, {9,12}, {1,46}, {6,54}, {5,51}, {1,53}, {7,29}, {6,28}, {2,11}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {4,40}, {7,23}, {2,21}, {6,36}, {3,30}, {5,33}, {9,18}, {3,24}, {2,29}, {6,45}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {8,50}, {8,24}, {2,47}, {6,25}, {1,47}, {4,49}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {5,26}, {8,18}, {3,42}, {6,52}, {9,39}, {4,25}, {4,11}, {9,52}, {4,20}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {3,54}, {3,31}, {2,12}, {1,14}, {9,24}, {9,46}, {8,51}, {5,15}, {6,39}, {6,37}, {7,35}, {5,21}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {1,34}, {7,52}, {9,31}, {7,19}, {4,17}, {3,36}, {9,16}, {9,21}, {7,40}, {4,44}, {8,29}, {4,32}, {5,53}, {2,50} }; // ETB54.141 // Bipartite(9,45) Valencies [30,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 557256278016000000000 EdgesBipt[54][140]:={ {2,44}, {6,48}, {8,48}, {1,11}, {3,33}, {1,20}, {9,28}, {6,16}, {6,32}, {5,34}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {1,10}, {4,53}, {4,30}, {8,30}, {6,17}, {5,38}, {9,45}, {7,38}, {8,42}, {8,54}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,15}, {7,41}, {7,44}, {4,19}, {7,22}, {4,31}, {9,49}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {9,43}, {2,26}, {7,34}, {8,39}, {1,21}, {1,30}, {5,32}, {8,15}, {8,44}, {8,27}, {2,54}, {3,18}, {3,17}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {2,36}, {9,48}, {1,50}, {5,22}, {4,22}, {3,49}, {3,14}, {7,11}, {7,20}, {5,50}, {9,27}, {5,11}, {5,29}, {8,41}, {2,38}, {8,47}, {9,19}, {2,52}, {5,43}, {8,14}, {7,46}, {8,45}, {4,42}, {5,25}, {2,39}, {7,32}, {7,49}, {7,13}, {2,53}, {7,25}, {7,43}, {2,35}, {6,12}, {3,44}, {1,51}, {4,47}, {6,30}, {6,43}, {4,33}, {5,23}, {4,21}, {9,54}, {9,34}, {3,51}, {2,13}, {9,42}, {2,20}, {6,18}, {2,48}, {1,29}, {7,50}, {8,17}, {2,16}, {7,53}, {3,32}, {4,35}, {9,25}, {7,16}, {1,12}, {7,26}, {8,36}, {5,18}, {1,23}, {6,50}, {6,44}, {7,17}, {6,46}, {8,11}, {5,24}, {9,37}, {4,48}, {8,53}, {5,49}, {8,35}, {9,10}, {5,14}, {4,15}, {4,13}, {1,28}, {7,14}, {3,50}, {3,27}, {9,51}, {4,28}, {1,33}, {3,10}, {6,23}, {1,43}, {3,26}, {4,46}, {8,26}, {5,42}, {1,52}, {9,22}, {7,31}, {5,41}, {2,17}, {7,47}, {9,13}, {9,40}, {5,54}, {8,32}, {1,42}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {6,26}, {3,23}, {8,23}, {1,39}, {5,36}, {1,25}, {6,19}, {9,12}, {1,46}, {6,54}, {5,51}, {7,29}, {6,41}, {1,15}, {6,28}, {6,14}, {2,11}, {9,30}, {1,37}, {7,28}, {4,37}, {3,53}, {4,40}, {7,23}, {2,21}, {6,36}, {5,33}, {9,18}, {4,51}, {3,24}, {2,29}, {6,45}, {8,38}, {2,22}, {1,16}, {8,50}, {8,24}, {2,47}, {6,25}, {1,47}, {4,49}, {2,40}, {2,31}, {9,33}, {9,36}, {6,34}, {6,10}, {5,27}, {8,18}, {3,42}, {6,52}, {9,39}, {4,11}, {4,12}, {9,52}, {4,20}, {5,13}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {9,24}, {9,46}, {8,51}, {5,15}, {6,39}, {6,37}, {7,35}, {2,30}, {6,53}, {9,15}, {7,37}, {2,18}, {1,34}, {7,52}, {9,31}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {9,16}, {9,21}, {4,39}, {7,40}, {4,44}, {8,29}, {5,52}, {2,49}, {5,16} }; // ETB54.142 // Bipartite(18,36) Valencies [30,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4679882803280609280000000 EdgesBipt[54][141]:={ {13,25}, {3,42}, {7,49}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {7,53}, {7,28}, {2,24}, {18,38}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {16,33}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {9,41}, {15,20}, {17,45}, {11,35}, {3,27}, {3,32}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {13,54}, {5,20}, {7,51}, {7,34}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {9,27}, {18,31}, {1,25}, {3,51}, {5,46}, {18,42}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {1,42}, {8,49}, {16,34}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {18,34}, {10,31}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {10,28}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {1,54}, {2,25}, {17,36}, {17,23}, {18,44}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {10,52}, {15,37}, {7,35}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {14,31}, {7,46}, {8,22}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {10,53}, {5,30}, {6,46}, {2,49}, {16,27}, {14,46}, {9,30}, {5,40}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {10,26}, {17,20}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {8,54}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {15,38}, {14,30}, {8,32}, {17,24}, {7,52}, {13,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {14,52}, {11,28}, {6,25}, {13,39}, {2,53}, {17,34}, {12,26}, {18,46}, {1,45}, {17,39}, {6,42}, {11,20}, {11,26}, {13,24}, {12,51}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {7,41}, {3,44}, {8,23}, {2,29}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {2,54}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {8,50}, {17,47}, {4,19}, {8,53}, {10,49}, {12,46}, {5,54}, {2,31} }; // ETB54.143 // Bipartite(24,30) Valencies [30,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 164575712925644960854722483686432196015213772800000000000 EdgesBipt[54][142]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, 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{7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.144 // Bipartite(23,31) Valencies [31,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 212576962528958074437349874761641586519651123200000000000 EdgesBipt[54][143]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, 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{9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.145 // Bipartite(6,48) Valencies [32,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 439642854231908108222823930003456000000000 EdgesBipt[54][144]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,26}, {3,22}, {3,40}, {4,16}, {1,10}, {4,53}, {4,50}, {2,23}, {1,13}, {5,38}, {2,51}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {2,26}, {2,9}, {3,52}, {6,7}, {2,41}, {2,14}, {5,32}, {4,23}, {2,54}, {2,42}, {6,22}, {3,18}, {3,7}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {5,50}, {4,8}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,39}, {1,31}, {3,12}, {2,53}, {2,35}, {1,22}, {6,12}, {4,47}, {6,30}, {6,43}, {5,23}, {6,49}, {3,51}, {2,20}, {6,18}, {2,48}, {4,52}, {1,29}, {3,39}, {4,35}, {2,32}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {5,48}, {5,14}, {1,28}, {4,13}, {3,27}, {4,7}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {5,42}, {1,52}, {6,15}, {5,41}, {2,17}, {6,51}, {5,12}, {5,54}, {3,19}, {6,27}, {1,49}, {5,44}, {5,36}, {3,21}, {1,25}, {6,19}, {1,46}, {6,9}, {6,54}, {5,51}, {1,53}, {6,28}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {4,49}, {6,34}, {6,10}, {5,27}, {5,26}, {3,42}, {5,9}, {6,52}, {4,25}, {4,11}, {1,8}, {4,20}, {3,28}, {1,41}, {5,45}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {3,36}, {4,44}, {4,32}, {5,53}, {2,50} }; // ETB54.146 // Bipartite(18,36) Valencies [32,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 490833469540600381440 EdgesBipt[54][145]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {17,19}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {11,36}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {16,20}, {18,54}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {5,50}, {16,23}, {5,45}, {4,41}, {9,22}, {18,53}, {13,54}, {5,20}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {3,23}, {4,44}, {5,36}, {9,26}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {17,53}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {12,20}, {16,29}, {15,42}, {13,46}, {2,40}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {8,51}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {15,48}, {8,54}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {14,30}, {7,38}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {4,51}, {4,25}, {10,38}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {14,52}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {12,26}, {18,46}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {14,21}, {14,44}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {10,41}, {12,34}, {15,41}, {8,19}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,47}, {4,19}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.147 // Bipartite(22,32) Valencies [32,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 295759252214202538347617217059675250809949388800000000000 EdgesBipt[54][146]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {21,54}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {22,39}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {22,23}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {22,54}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.148 // Bipartite(21,33) Valencies [33,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 443638878321303807521425825589512876214924083200000000000 EdgesBipt[54][147]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {21,22}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {21,54}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {21,26}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.149 // Bipartite(3,51) Valencies [34,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 269995667855170566962341746013372416000000000 EdgesBipt[54][148]:={ {3,15}, {1,43}, {2,38}, {1,11}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {1,25}, {2,47}, {1,38}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {3,34}, {1,52}, {3,31}, {2,18}, {2,15}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {1,34}, {2,14}, {2,41}, {2,23}, {1,10}, {1,17}, {3,13}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {3,9}, {3,22}, {2,42}, {3,27}, {1,19}, {2,35}, {2,9}, {1,4}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,24}, {3,42}, {2,27}, {3,52}, {3,4}, {1,23}, {2,21}, {2,48}, {2,54}, {1,7}, {2,39}, {2,12}, {1,49}, {3,28}, {3,24}, {3,12}, {2,51}, {2,6}, {3,21}, {1,14}, {1,41}, {3,49}, {3,39}, {2,8}, {1,37}, {1,20}, {3,16}, {1,13}, {3,25}, {2,26}, {3,6}, {1,28}, {3,36}, {3,37}, {3,43}, {1,47}, {3,33}, {1,8}, {2,30}, {2,5}, {2,45} }; // ETB54.150 // Bipartite(18,36) Valencies [34,17] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1678343852714360832000 EdgesBipt[54][149]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {7,53}, {7,28}, {2,24}, {18,38}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {10,29}, {15,33}, {13,22}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {2,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {16,33}, {7,26}, {11,27}, {18,28}, {13,51}, {17,19}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {12,35}, {12,48}, {14,22}, {11,21}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {16,20}, {18,54}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {12,44}, {15,34}, {16,42}, {8,35}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {15,48}, {8,54}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {10,45}, {7,20}, {2,54}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.151 // Bipartite(20,34) Valencies [34,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 718272469663063307415641812859211323395591372800000000000 EdgesBipt[54][150]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,21}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.152 // Bipartite(12,42) Valencies [35,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 755258617178546503680000000 EdgesBipt[54][151]:={ {6,52}, {7,48}, {6,38}, {11,40}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,45}, {3,26}, {12,22}, {8,26}, {1,49}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {11,53}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {6,32}, {4,38}, {3,49}, {11,29}, {11,35}, {11,17}, {11,27}, {3,18}, {10,47}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {12,48}, {4,43}, {1,52}, {2,52}, {8,30}, {8,13}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {12,20}, {5,41}, {8,52}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {7,33}, {12,31}, {12,40}, {10,20}, {1,24}, {2,48}, {12,13}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {9,47}, {12,52}, {6,24}, {2,29}, {5,34}, {3,17}, {8,49}, {2,36}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {9,20}, {4,22}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {5,27}, {3,43}, {5,28}, {8,18}, {3,47}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {12,15}, {11,21}, {6,36}, {8,17}, {4,53}, {10,16}, {11,36}, {3,30}, {9,51}, {1,47}, {2,24}, {11,23}, {3,24}, {11,16}, {10,38}, {6,16}, {10,46}, {11,33}, {11,48}, {8,47}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {3,29}, {11,52}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {9,54}, {10,19}, {9,19}, {4,47}, {3,44}, {11,44}, {3,25}, {11,34}, {7,35}, {11,46}, {2,43}, {5,52}, {12,30}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {9,30}, {8,53}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {11,54}, {12,25}, {1,16}, {3,42}, {10,52}, {4,14}, {4,15}, {7,49}, {1,48}, {9,41}, {7,39}, {3,41}, {4,29}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {12,50}, {5,23}, {12,43}, {5,20}, {3,53}, {2,26}, {10,40}, {12,14}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {5,46}, {3,48}, {3,33}, {1,45}, {10,50}, {10,15}, {3,50}, {11,30}, {4,27}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {1,33}, {3,54}, {12,36}, {3,45}, {2,53}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {4,25}, {10,41}, {7,31}, {12,33}, {5,47}, {12,39}, {6,54}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {9,15}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,18}, {2,47}, {11,28}, {7,16}, {5,16}, {1,23}, {5,18}, {11,20}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {9,27}, {5,42}, {2,38}, {12,32}, {10,43}, {8,28}, {9,49}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {12,54}, {9,53}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {7,13}, {9,14}, {9,42}, {5,36}, {10,14}, {10,32}, {4,39}, {7,36}, {11,50}, {12,19}, {6,50}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB54.153 // Bipartite(19,35) Valencies [35,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1256976821910360787977373172503619815942284902400000000000 EdgesBipt[54][152]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.154 // Bipartite(18,36) Valencies [36,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2381640294145946756167654432112121756522224025600000000000 EdgesBipt[54][153]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {11,49}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {8,54}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.155 // Bipartite(17,37) Valencies [37,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4895593937966668332122400777119361388406793830400000000000 EdgesBipt[54][154]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,18}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, 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{2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {8,54}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {12,26}, {1,45}, {10,30}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.156 // Bipartite(16,38) Valencies [38,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10943092331925493918861837031207984279968127385600000000000 EdgesBipt[54][155]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.157 // Bipartite(15,39) Valencies [39,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26673787559068391427225727763569461682422310502400000000000 EdgesBipt[54][156]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.158 // Bipartite(6,48) Valencies [40,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3093539295963326479073280000000 EdgesBipt[54][157]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {5,17}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,26}, {3,8}, {4,16}, {1,10}, {4,53}, {4,50}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {3,45}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {4,19}, {4,31}, {2,19}, {1,19}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,41}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,54}, {2,42}, {6,22}, {3,18}, {3,17}, {3,7}, {4,38}, {6,21}, {2,25}, {5,40}, {6,31}, {6,40}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {6,8}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {6,12}, {4,47}, {6,30}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {6,49}, {3,51}, {2,13}, {2,20}, {6,18}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {1,23}, {6,50}, {6,24}, {5,30}, {6,44}, {6,46}, {5,24}, {5,46}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {6,15}, {2,17}, {5,41}, {6,51}, {5,12}, {5,54}, {1,42}, {3,19}, {4,9}, {1,24}, {6,27}, {1,49}, {5,44}, {6,26}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {1,46}, {6,9}, {6,54}, {5,51}, {1,53}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {4,37}, {6,42}, {3,53}, {4,40}, {6,36}, {3,30}, {5,33}, {4,51}, {3,24}, {2,29}, {6,45}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {6,38}, {4,49}, {2,40}, {2,31}, {6,34}, {6,10}, {5,10}, {5,27}, {5,26}, {3,42}, {5,9}, {6,52}, {4,25}, {3,38}, {4,11}, {4,20}, {1,41}, {5,45}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {2,8}, {5,15}, {6,39}, {6,37}, {3,47}, {6,20}, {2,30}, {5,21}, {6,13}, {2,18}, {1,54}, {5,35}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB54.159 // Bipartite(9,45) Valencies [40,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1872381094133760000000000 EdgesBipt[54][158]:={ {6,52}, {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {9,17}, {4,28}, {5,43}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {6,14}, {2,33}, {6,32}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {6,18}, {1,29}, {6,46}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {4,53}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,54}, {9,22}, {3,44}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {7,50}, {4,33}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {1,32}, {9,44}, {7,52}, {6,43}, {6,37}, {9,24}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {7,29}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,33}, {2,11}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {6,54}, {7,10}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {5,10}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {8,20}, {5,44}, {5,25}, {9,53}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {7,13}, {9,14}, {9,42}, {5,36}, {4,39}, {7,36}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {4,54}, {9,37}, {6,40} }; // ETB54.160 // Bipartite(14,40) Valencies [40,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 71130100157515710472601940702851897819792828006400000000000 EdgesBipt[54][159]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {11,54}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.161 // Bipartite(13,41) Valencies [41,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 208309579032724580669762826344066272186536139161600000000000 EdgesBipt[54][160]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {8,54}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {11,54}, {3,41}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.162 // Bipartite(12,42) Valencies [42,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 673000178413417876010002977419291033218039834214400000000000 EdgesBipt[54][161]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {10,42}, {12,22}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {8,54}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.163 // Bipartite(11,43) Valencies [43,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2411583972648080722369177335752459535697976072601600000000000 EdgesBipt[54][162]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {3,25}, {4,12}, {10,27}, {1,41}, {3,54}, {4,30}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {11,35}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {11,47}, {10,25}, {11,36}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {8,54}, {3,34}, {11,14}, {9,48}, {7,12}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {10,15}, {10,49}, {6,41}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB54.164 // Bipartite(10,44) Valencies [44,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9646335890592322889476709343009838142791904290406400000000000 EdgesBipt[54][163]:={ {6,52}, {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {3,52}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {6,36}, {8,17}, {4,53}, {10,16}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {2,51}, {10,38}, {6,16}, {10,46}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {9,54}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {9,52}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {10,54}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {10,15}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {6,54}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {10,53}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {10,43}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {4,54}, {10,49}, {9,37}, {6,40} }; // ETB54.165 // Bipartite(9,45) Valencies [45,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43408511507665453002645192043544271642563569306828800000000000 EdgesBipt[54][164]:={ {6,52}, {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {4,53}, {3,30}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {4,54}, {9,37}, {6,40} }; // ETB54.166 // Bipartite(8,46) Valencies [46,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 221865725483623426457964314889226277284213798679347200000000000 EdgesBipt[54][165]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {4,53}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {6,40} }; // ETB54.167 // Bipartite(7,47) Valencies [47,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1303461137216287630440540349974204379044756067241164800000000000 EdgesBipt[54][166]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {4,53}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {6,40} }; // ETB54.168 // Bipartite(6,48) Valencies [48,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8938019226625972323020848114108830027735470175367987200000000000 EdgesBipt[54][167]:={ {6,52}, {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {6,17}, {5,28}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {4,53}, {3,30}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {6,22}, {4,34}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {6,37}, {6,43}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {2,28}, {2,45}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,54}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {1,8}, {4,12}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {6,53}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {6,40} }; // ETB54.169 // Bipartite(5,49) Valencies [49,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 72993823684112107304670259598555445226506339765505228800000000000 EdgesBipt[54][168]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {2,46}, {4,27}, {5,34}, {4,24}, {3,22}, {4,26}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {5,54}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {5,51}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {1,54}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB54.170 // Bipartite(4,50) Valencies [50,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 729938236841121073046702595985554452265063397655052288000000000000 EdgesBipt[54][169]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {3,47}, {2,30}, {2,18}, {1,54}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB54.171 // Bipartite(3,51) Valencies [51,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9306712519724293681345458098815819266379558320101916672000000000000 EdgesBipt[54][170]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {3,53}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,52}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB54.172 // Bipartite(2,52) Valencies [52,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 161316350341887757143321273712807533950579010881766555648000000000000 EdgesBipt[54][171]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB54.173 // Bipartite(1,53) Valencies [53,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 4274883284060025564298013753389399649690343788366813724672000000000000 EdgesBipt[54][172]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 54 is 173 // ******************************************************************************************** // Order 55 // ETB55.1 // Bipartite(22,33) Valencies [6,4] // Diameter 11 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16346184155136 EdgesBipt[55][1]:={ {14,25}, {8,31}, {1,43}, {4,42}, {21,39}, {14,34}, {4,55}, {20,28}, {8,51}, {15,55}, {6,41}, {5,35}, {11,29}, {13,24}, {7,38}, {15,44}, {22,38}, {5,24}, {19,40}, {2,33}, {6,32}, {9,39}, {19,31}, {7,27}, {2,55}, {11,38}, {4,44}, {1,32}, {9,37}, {10,52}, {22,49}, {8,42}, {16,48}, {17,43}, {3,45}, {17,52}, {17,54}, {3,34}, {13,46}, {5,26}, {21,28}, {10,30}, {5,37}, {6,54}, {11,49}, {6,43}, {1,34}, {17,30}, {13,44}, {13,33}, {12,54}, {18,38}, {21,41}, {12,34}, {4,33}, {10,41}, {10,39}, {4,53}, {19,51}, {22,29}, {7,47}, {20,48}, {16,26}, {16,35}, {7,25}, {21,50}, {18,25}, {14,45}, {13,35}, {3,23}, {8,53}, {4,31}, {19,29}, {7,49}, {15,33}, {2,35}, {11,51}, {3,47}, {2,44}, {8,40}, {18,27}, {20,37}, {22,27}, {9,48}, {6,52}, {12,23}, {2,24}, {21,30}, {14,36}, {19,53}, {20,50}, {15,31}, {5,46}, {1,23}, {1,54}, {12,43}, {15,42}, {6,30}, {10,28}, {2,46}, {14,23}, {11,40}, {9,28}, {13,55}, {21,52}, {19,42}, {14,47}, {5,48}, {9,26}, {16,46}, {20,26}, {11,27}, {17,41}, {3,25}, {18,47}, {10,50}, {12,32}, {18,49}, {3,36}, {18,36}, {20,39}, {17,32}, {16,37}, {22,40}, {1,45}, {15,53}, {7,36}, {22,51}, {9,50}, {12,45}, {8,29}, {16,24} }; // ETB55.2 // Bipartite(25,30) Valencies [6,5] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 12000 EdgesBipt[55][2]:={ {4,35}, {24,39}, {11,43}, {7,42}, {21,43}, {21,48}, {19,49}, {22,32}, {1,43}, {21,31}, {21,39}, {18,44}, {4,55}, {6,36}, {21,47}, {9,45}, {11,42}, {3,53}, {23,39}, {13,48}, {24,29}, {10,40}, {18,37}, {6,32}, {17,35}, {7,31}, {15,40}, {25,51}, {2,55}, {19,38}, {20,42}, {25,40}, {11,54}, {22,33}, {9,51}, {13,46}, {10,47}, {5,26}, {18,51}, {8,41}, {20,40}, {3,55}, {5,37}, {8,44}, {7,28}, {6,53}, {6,43}, {14,33}, {17,53}, {24,42}, {24,37}, {19,54}, {13,44}, {20,38}, {23,45}, {9,27}, {17,48}, {7,26}, {8,28}, {18,33}, {18,38}, {14,30}, {12,34}, {25,53}, {2,36}, {13,49}, {15,36}, {14,50}, {4,29}, {16,26}, {16,52}, {5,55}, {1,55}, {6,37}, {4,31}, {19,29}, {15,50}, {3,27}, {2,34}, {10,33}, {14,26}, {7,49}, {11,51}, {3,47}, {22,54}, {22,27}, {9,48}, {21,30}, {3,42}, {11,50}, {15,31}, {25,52}, {25,39}, {16,27}, {10,28}, {2,46}, {13,32}, {9,28}, {22,39}, {1,49}, {13,50}, {14,53}, {20,32}, {19,36}, {20,45}, {22,34}, {2,51}, {8,54}, {20,30}, {5,48}, {1,41}, {16,46}, {3,44}, {8,52}, {4,32}, {17,34}, {15,27}, {17,41}, {23,44}, {15,41}, {9,29}, {12,47}, {24,41}, {4,52}, {17,38}, {16,43}, {1,33}, {14,29}, {24,46}, {19,47}, {25,49}, {18,31}, {12,52}, {16,38}, {8,30}, {10,35}, {10,46}, {23,26}, {7,34}, {12,50}, {1,45}, {23,35}, {11,35}, {12,37}, {2,30}, {23,36}, {5,40}, {12,45}, {5,54}, {6,28} }; // ETB55.3 // Bipartite(25,30) Valencies [6,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1741425868800 EdgesBipt[55][3]:={ {13,52}, {13,32}, {2,33}, {17,35}, {2,46}, {11,35}, {16,33}, {12,51}, {23,27}, {25,39}, {21,32}, {21,47}, {7,48}, {7,38}, {21,37}, {18,50}, {3,45}, {4,31}, {12,41}, {23,54}, {10,33}, {21,42}, {13,53}, {3,35}, {5,47}, {25,29}, {15,48}, {2,26}, {8,39}, {15,47}, {19,48}, {14,50}, {12,34}, {10,53}, {23,44}, {11,28}, {16,43}, {18,37}, {21,52}, {10,30}, {19,28}, {4,38}, {11,38}, {3,46}, {6,40}, {6,31}, {2,36}, {20,55}, {9,32}, {16,53}, {4,41}, {12,44}, {16,54}, {19,29}, {14,30}, {14,40}, {9,41}, {24,39}, {24,42}, {1,31}, {23,34}, {2,53}, {7,43}, {15,27}, {21,27}, {19,38}, {1,51}, {25,34}, {6,30}, {24,52}, {25,54}, {17,55}, {24,32}, {9,42}, {10,40}, {7,53}, {18,30}, {23,37}, {8,36}, {13,33}, {6,50}, {13,43}, {20,44}, {14,55}, {4,48}, {5,46}, {15,37}, {24,49}, {20,45}, {18,27}, {23,47}, {18,47}, {9,51}, {4,28}, {22,29}, {3,26}, {8,26}, {17,52}, {10,43}, {6,51}, {22,39}, {11,55}, {5,36}, {1,46}, {16,44}, {25,49}, {6,41}, {19,49}, {13,42}, {16,34}, {20,35}, {7,28}, {22,50}, {14,45}, {4,51}, {20,34}, {1,26}, {22,49}, {19,39}, {10,50}, {3,55}, {5,27}, {15,38}, {8,49}, {5,26}, {15,28}, {17,45}, {24,29}, {9,52}, {11,45}, {11,48}, {8,46}, {22,40}, {14,35}, {1,41}, {18,40}, {7,33}, {12,31}, {17,42}, {20,54}, {22,30}, {9,31}, {5,37}, {2,43}, {17,32}, {3,36}, {12,54}, {8,29}, {25,44}, {1,36} }; // ETB55.4 // Bipartite(25,30) Valencies [6,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19660800 EdgesBipt[55][4]:={ {8,48}, {15,52}, {16,41}, {6,32}, {17,44}, {2,46}, {18,48}, {16,26}, {24,48}, {12,45}, {10,37}, {16,27}, {16,40}, {22,37}, {14,51}, {18,38}, {4,29}, {24,55}, {8,33}, {7,41}, {7,54}, {17,34}, {14,38}, {9,44}, {23,55}, {12,41}, {22,42}, {22,52}, {13,53}, {3,35}, {21,35}, {5,47}, {15,47}, {15,54}, {5,32}, {12,37}, {2,54}, {21,49}, {18,37}, {19,28}, {6,47}, {3,46}, {6,40}, {9,48}, {9,29}, {14,36}, {15,32}, {19,30}, {8,41}, {2,38}, {10,52}, {23,45}, {7,39}, {2,39}, {1,31}, {2,53}, {7,43}, {22,27}, {11,44}, {1,51}, {25,34}, {20,33}, {6,55}, {22,44}, {14,53}, {7,26}, {13,43}, {11,29}, {5,30}, {17,30}, {17,49}, {5,46}, {18,53}, {15,37}, {20,28}, {13,28}, {23,38}, {3,27}, {3,50}, {4,28}, {4,43}, {20,43}, {18,33}, {22,29}, {24,35}, {8,26}, {10,51}, {12,26}, {24,40}, {11,54}, {18,52}, {4,36}, {21,39}, {6,51}, {23,53}, {25,32}, {25,47}, {5,31}, {11,39}, {12,30}, {14,34}, {11,55}, {14,49}, {17,29}, {1,46}, {25,49}, {19,45}, {25,42}, {13,27}, {21,50}, {20,48}, {13,42}, {7,28}, {23,40}, {10,35}, {6,36}, {8,34}, {4,51}, {1,26}, {10,36}, {19,43}, {2,31}, {10,50}, {11,40}, {9,33}, {12,52}, {16,42}, {20,47}, {8,49}, {3,42}, {13,38}, {17,45}, {25,27}, {1,41}, {19,50}, {5,45}, {3,31}, {21,34}, {15,39}, {9,46}, {19,35}, {9,31}, {24,33}, {4,44}, {20,32}, {24,50}, {1,36}, {16,55}, {21,54}, {23,30} }; // ETB55.5 // Bipartite(11,44) Valencies [8,2] // Diameter 11 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33476985149718528 EdgesBipt[55][5]:={ {10,19}, {8,31}, {1,43}, {4,42}, {4,55}, {2,22}, {8,51}, {6,41}, {5,35}, {11,29}, {7,38}, {5,24}, {2,33}, {6,32}, {9,39}, {7,27}, {11,16}, {11,38}, {2,55}, {4,44}, {1,32}, {9,37}, {10,52}, {8,42}, {3,45}, {5,13}, {3,34}, {5,26}, {9,17}, {10,30}, {5,37}, {6,54}, {11,49}, {6,43}, {1,34}, {4,20}, {6,21}, {4,33}, {8,18}, {10,41}, {10,39}, {3,14}, {2,13}, {4,53}, {7,47}, {1,12}, {7,25}, {5,15}, {3,23}, {8,53}, {7,14}, {4,31}, {7,49}, {11,18}, {2,35}, {3,47}, {11,51}, {9,15}, {2,44}, {8,40}, {9,48}, {6,52}, {2,24}, {6,19}, {5,46}, {1,23}, {1,54}, {6,30}, {10,28}, {2,46}, {11,40}, {9,28}, {4,22}, {3,12}, {8,20}, {5,48}, {7,16}, {9,26}, {10,17}, {11,27}, {3,25}, {10,50}, {3,36}, {1,45}, {7,36}, {9,50}, {1,21}, {8,29} }; // ETB55.6 // Bipartite(15,40) Valencies [8,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7608405715845120 EdgesBipt[55][6]:={ {10,19}, {4,35}, {7,42}, {10,54}, {11,17}, {8,31}, {2,38}, {4,55}, {6,36}, {8,51}, {1,31}, {15,55}, {1,46}, {4,40}, {3,54}, {14,18}, {12,17}, {3,32}, {2,33}, {8,55}, {12,33}, {7,27}, {10,44}, {12,27}, {13,42}, {15,29}, {2,28}, {3,34}, {12,53}, {14,20}, {6,34}, {2,18}, {8,41}, {13,20}, {6,54}, {5,49}, {15,39}, {9,38}, {5,33}, {5,23}, {10,34}, {4,20}, {2,23}, {1,36}, {6,46}, {15,25}, {14,30}, {1,16}, {8,21}, {10,39}, {15,49}, {7,47}, {14,50}, {3,22}, {5,43}, {14,28}, {5,19}, {10,24}, {8,35}, {14,38}, {15,35}, {4,45}, {5,29}, {15,45}, {4,30}, {6,26}, {15,19}, {7,52}, {11,51}, {13,30}, {4,25}, {10,29}, {2,53}, {1,26}, {11,37}, {13,40}, {13,22}, {9,48}, {12,23}, {11,41}, {3,42}, {3,52}, {2,43}, {12,43}, {2,48}, {5,53}, {10,49}, {13,32}, {9,28}, {13,50}, {11,31}, {3,24}, {11,21}, {9,26}, {6,16}, {9,46}, {1,41}, {1,51}, {9,18}, {11,27}, {3,44}, {7,22}, {8,25}, {12,47}, {7,32}, {8,45}, {7,37}, {4,50}, {13,52}, {14,40}, {11,47}, {6,24}, {9,36}, {6,44}, {14,48}, {9,16}, {7,17}, {12,37}, {5,39}, {1,21} }; // ETB55.7 // Bipartite(15,40) Valencies [8,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 754974720 EdgesBipt[55][7]:={ {7,43}, {14,21}, {6,48}, {9,52}, {11,44}, {14,25}, {12,49}, {8,39}, {10,22}, {4,48}, {15,55}, {5,34}, {12,17}, {2,47}, {12,31}, {7,33}, {13,48}, {5,24}, {10,40}, {1,44}, {11,38}, {6,40}, {13,43}, {9,37}, {8,42}, {13,42}, {7,23}, {8,34}, {11,52}, {3,31}, {3,51}, {9,17}, {2,29}, {3,19}, {14,27}, {1,29}, {8,22}, {6,53}, {12,30}, {14,33}, {5,23}, {7,26}, {4,39}, {1,36}, {6,33}, {3,40}, {1,16}, {12,51}, {4,28}, {5,43}, {10,37}, {7,53}, {14,45}, {15,35}, {4,45}, {3,27}, {2,34}, {6,55}, {11,18}, {3,47}, {12,29}, {4,25}, {8,19}, {13,22}, {4,38}, {11,50}, {2,27}, {15,21}, {15,31}, {2,54}, {5,45}, {9,35}, {15,18}, {2,46}, {13,32}, {1,49}, {14,53}, {2,49}, {15,51}, {13,28}, {14,47}, {8,54}, {8,50}, {7,16}, {6,20}, {11,30}, {10,17}, {1,41}, {3,39}, {10,42}, {11,32}, {4,18}, {15,41}, {13,23}, {2,26}, {7,46}, {15,38}, {3,20}, {13,52}, {10,20}, {14,41}, {9,32}, {6,35}, {8,30}, {10,26}, {9,36}, {9,55}, {10,46}, {9,16}, {5,44}, {12,50}, {7,36}, {11,24}, {12,37}, {1,21}, {5,25}, {4,19}, {1,24}, {5,54}, {6,28} }; // ETB55.8 // Bipartite(10,45) Valencies [9,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 3628800 EdgesBipt[55][8]:={ {4,13}, {9,54}, {4,50}, {6,37}, {6,34}, {7,11}, {7,16}, {1,24}, {1,46}, {2,47}, {2,32}, {6,33}, {5,29}, {4,34}, {7,41}, {1,37}, {8,23}, {1,43}, {5,43}, {8,21}, {8,25}, {5,15}, {2,36}, {3,23}, {10,55}, {3,48}, {3,24}, {4,49}, {6,40}, {7,33}, {8,29}, {6,15}, {6,32}, {7,30}, {7,45}, {5,16}, {8,27}, {9,48}, {5,20}, {4,12}, {3,44}, {3,11}, {10,31}, {2,20}, {3,28}, {4,45}, {9,40}, {7,18}, {5,19}, {10,47}, {5,28}, {1,21}, {5,17}, {9,55}, {3,14}, {8,12}, {6,42}, {3,31}, {9,51}, {10,52}, {1,18}, {9,41}, {7,38}, {7,35}, {8,22}, {5,39}, {2,53}, {2,27}, {1,53}, {6,22}, {10,42}, {8,26}, {10,17}, {9,50}, {2,54}, {2,35}, {10,38}, {1,51}, {9,26}, {2,13}, {4,14}, {10,25}, {9,39}, {4,19}, {4,46}, {8,30}, {1,52}, {6,44}, {10,49}, {3,36} }; // ETB55.9 // Bipartite(10,45) Valencies [9,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56422198149120 EdgesBipt[55][9]:={ {7,43}, {4,35}, {9,13}, {6,48}, {5,14}, {6,18}, {1,11}, {4,55}, {2,22}, {6,36}, {1,31}, {6,51}, {6,41}, {1,46}, {4,40}, {3,54}, {10,48}, {7,38}, {2,47}, {2,37}, {5,24}, {10,40}, {10,44}, {8,42}, {7,23}, {3,34}, {9,31}, {10,18}, {3,19}, {8,22}, {8,15}, {7,28}, {1,34}, {5,23}, {4,20}, {2,52}, {6,11}, {9,43}, {10,25}, {2,32}, {6,33}, {1,16}, {6,21}, {2,36}, {2,17}, {7,47}, {7,53}, {7,13}, {4,45}, {5,29}, {3,27}, {4,30}, {6,26}, {10,33}, {1,19}, {4,15}, {4,25}, {10,29}, {1,26}, {3,42}, {5,38}, {2,21}, {5,53}, {8,27}, {9,35}, {9,28}, {10,14}, {1,49}, {3,24}, {3,12}, {10,55}, {2,51}, {9,46}, {1,41}, {3,49}, {8,52}, {3,39}, {7,32}, {8,45}, {4,50}, {8,37}, {8,30}, {9,16}, {5,44}, {7,17}, {9,50}, {5,39}, {9,20}, {8,12}, {5,54} }; // ETB55.10 // Bipartite(25,30) Valencies [12,10] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 600 EdgesBipt[55][10]:={ {24,34}, {18,45}, {6,52}, {19,28}, {11,40}, {15,38}, {14,36}, {16,51}, {4,28}, {25,47}, {5,45}, {1,40}, {14,38}, {11,43}, {15,54}, {14,50}, {3,35}, {20,46}, {2,49}, {10,39}, {6,48}, {19,37}, {16,37}, {5,32}, {1,35}, {7,30}, {15,41}, {4,37}, {20,52}, {4,40}, {13,43}, {14,29}, {10,48}, {13,40}, {2,33}, {3,49}, {11,35}, {11,29}, {6,29}, {11,27}, {10,47}, {20,38}, {2,34}, {19,31}, {16,48}, {15,32}, {2,52}, {4,30}, {8,30}, {24,46}, {17,39}, {8,52}, {21,38}, {23,31}, {12,26}, {12,42}, {6,39}, {11,39}, {23,28}, {12,40}, {17,26}, {24,50}, {24,47}, {13,55}, {18,35}, {24,31}, {23,43}, {13,42}, {1,36}, {19,42}, {13,51}, {18,39}, {6,44}, {8,38}, {20,55}, {9,47}, {12,52}, {1,26}, {2,36}, {8,49}, {20,36}, {22,34}, {24,37}, {9,29}, {12,49}, {22,43}, {3,38}, {19,46}, {14,46}, {9,46}, {1,42}, {7,32}, {25,33}, {3,51}, {18,55}, {13,49}, {2,30}, {5,53}, {14,34}, {14,54}, {22,49}, {1,30}, {8,50}, {23,39}, {24,53}, {3,30}, {3,55}, {9,51}, {21,47}, {22,26}, {10,46}, {21,31}, {11,48}, {10,55}, {8,47}, {4,41}, {9,38}, {21,37}, {17,54}, {17,31}, {13,36}, {4,45}, {1,51}, {25,32}, {18,54}, {20,54}, {20,31}, {24,39}, {17,28}, {19,45}, {5,52}, {2,27}, {6,30}, {4,33}, {7,34}, {10,44}, {10,29}, {15,53}, {25,46}, {22,31}, {13,50}, {23,35}, {9,30}, {5,39}, {18,44}, {14,27}, {16,41}, {7,28}, {20,44}, {25,31}, {17,44}, {13,29}, {14,52}, {15,46}, {10,30}, {5,40}, {4,50}, {23,47}, {4,34}, {12,29}, {22,53}, {16,26}, {11,54}, {15,40}, {19,50}, {14,43}, {14,37}, {23,27}, {19,44}, {18,31}, {14,40}, {1,48}, {7,49}, {24,43}, {9,41}, {16,31}, {16,45}, {3,41}, {22,41}, {9,44}, {6,37}, {10,28}, {20,48}, {19,34}, {16,44}, {17,41}, {12,43}, {20,32}, {2,26}, {3,53}, {25,42}, {7,29}, {8,29}, {21,52}, {22,38}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {25,43}, {3,33}, {1,45}, {3,50}, {16,53}, {4,27}, {15,29}, {4,46}, {18,52}, {25,36}, {16,38}, {1,33}, {21,33}, {3,45}, {7,47}, {12,53}, {10,41}, {23,55}, {12,39}, {20,27}, {21,35}, {17,34}, {18,49}, {15,55}, {7,51}, {22,33}, {15,48}, {24,52}, {11,41}, {9,50}, {6,26}, {22,51}, {13,35}, {21,43}, {21,27}, {7,42}, {23,49}, {12,34}, {8,44}, {19,36}, {6,42}, {21,48}, {15,51}, {18,53}, {13,54}, {7,26}, {20,45}, {11,37}, {23,33}, {11,28}, {16,35}, {8,55}, {5,55}, {10,27}, {3,40}, {17,27}, {8,35}, {2,40}, {17,45}, {18,50}, {16,54}, {13,28}, {1,28}, {5,42}, {2,38}, {23,50}, {12,32}, {21,36}, {6,53}, {7,44}, {19,51}, {24,42}, {12,54}, {9,53}, {22,47}, {22,32}, {23,41}, {25,55}, {25,28}, {9,34}, {24,33}, {15,43}, {10,32}, {4,39}, {25,48}, {7,36}, {6,35}, {17,32}, {21,26}, {1,37}, {18,42}, {2,32}, {17,49}, {11,26}, {19,54}, {5,48}, {5,33}, {5,30}, {9,37}, {25,51} }; // ETB55.11 // Bipartite(25,30) Valencies [12,10] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 48146942420582400000000000 EdgesBipt[55][11]:={ {19,28}, {10,37}, {11,49}, {16,51}, {4,28}, {25,37}, {2,55}, {23,53}, {25,47}, {8,51}, {3,26}, {8,26}, {22,40}, {1,49}, {14,38}, {17,42}, {15,44}, {15,54}, {14,50}, {2,35}, {15,27}, {21,41}, {21,54}, {10,39}, {14,45}, {20,37}, {5,32}, {7,30}, {8,31}, {20,52}, {4,40}, {13,43}, {24,48}, {24,28}, {17,35}, {4,38}, {11,29}, {10,42}, {6,29}, {10,47}, {19,40}, {22,55}, {22,37}, {4,43}, {15,32}, {2,52}, {4,30}, {16,49}, {23,38}, {9,33}, {7,45}, {8,46}, {20,49}, {23,31}, {7,27}, {12,42}, {6,39}, {23,36}, {25,34}, {11,39}, {6,49}, {22,42}, {19,48}, {12,40}, {20,29}, {23,28}, {24,30}, {20,39}, {5,37}, {24,50}, {24,45}, {23,43}, {9,35}, {1,36}, {1,29}, {12,37}, {13,51}, {16,34}, {6,46}, {6,44}, {8,38}, {13,26}, {17,47}, {12,52}, {5,34}, {18,46}, {1,26}, {13,41}, {25,52}, {20,42}, {6,34}, {11,51}, {18,26}, {18,36}, {5,54}, {18,33}, {6,51}, {3,38}, {5,27}, {3,43}, {24,40}, {14,35}, {7,32}, {19,38}, {1,31}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {2,30}, {3,36}, {25,29}, {8,48}, {25,44}, {14,28}, {12,47}, {6,36}, {18,51}, {24,53}, {4,53}, {16,29}, {11,36}, {13,48}, {14,33}, {15,37}, {15,34}, {9,55}, {21,31}, {19,30}, {8,41}, {9,38}, {24,55}, {18,38}, {13,36}, {1,41}, {4,45}, {12,55}, {1,51}, {13,53}, {25,32}, {20,54}, {11,44}, {23,48}, {25,49}, {17,55}, {11,34}, {7,35}, {19,45}, {11,46}, {5,52}, {22,30}, {2,27}, {12,30}, {4,33}, {7,50}, {10,44}, {10,29}, {15,52}, {23,51}, {22,50}, {13,31}, {9,30}, {5,39}, {24,38}, {19,55}, {8,53}, {22,45}, {16,41}, {20,44}, {17,30}, {20,47}, {4,50}, {12,45}, {6,31}, {17,52}, {16,26}, {11,54}, {10,52}, {19,50}, {14,43}, {1,44}, {13,38}, {15,49}, {24,35}, {10,54}, {19,53}, {18,31}, {14,40}, {24,43}, {16,31}, {3,41}, {15,39}, {1,54}, {22,52}, {21,39}, {7,52}, {16,44}, {21,49}, {7,40}, {12,50}, {20,32}, {3,53}, {25,42}, {17,50}, {18,41}, {14,55}, {8,36}, {2,45}, {21,46}, {4,55}, {3,48}, {3,33}, {16,36}, {19,33}, {9,28}, {19,43}, {7,55}, {18,28}, {16,46}, {15,29}, {8,43}, {25,39}, {7,47}, {2,37}, {5,29}, {14,30}, {3,28}, {21,34}, {8,33}, {5,47}, {20,27}, {6,54}, {15,47}, {11,31}, {21,44}, {19,35}, {11,41}, {9,50}, {6,26}, {15,42}, {1,34}, {22,27}, {7,42}, {2,50}, {6,41}, {21,29}, {17,40}, {4,35}, {21,51}, {13,33}, {18,43}, {23,46}, {18,53}, {5,49}, {20,34}, {23,33}, {2,47}, {10,27}, {10,34}, {17,27}, {2,40}, {17,45}, {9,45}, {16,54}, {17,37}, {16,39}, {13,28}, {5,42}, {12,32}, {22,35}, {21,36}, {8,28}, {9,40}, {5,44}, {25,27}, {25,54}, {9,53}, {9,43}, {22,47}, {14,53}, {1,46}, {22,32}, {23,41}, {24,33}, {10,32}, {13,46}, {12,35}, {17,32}, {23,26}, {21,26}, {14,48}, {2,42}, {4,48}, {2,32}, {18,48}, {11,26}, {3,46}, {9,48}, {10,49} }; // ETB55.12 // Bipartite(25,30) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 180551034077184000000 EdgesBipt[55][12]:={ {18,45}, {7,48}, {10,37}, {14,36}, {11,49}, {9,32}, {23,29}, {19,26}, {25,37}, {25,47}, {8,51}, {5,45}, {1,49}, {25,40}, {17,42}, {13,39}, {15,44}, {11,43}, {15,54}, {14,50}, {17,33}, {4,31}, {3,35}, {14,31}, {15,27}, {24,32}, {24,36}, {11,53}, {21,54}, {3,39}, {20,37}, {4,51}, {8,31}, {4,40}, {2,33}, {3,49}, {21,53}, {11,29}, {6,29}, {10,47}, {19,40}, {22,37}, {19,31}, {12,28}, {12,48}, {2,52}, {23,45}, {4,30}, {16,49}, {23,38}, {24,46}, {12,38}, {23,31}, {7,27}, {12,42}, {6,39}, {25,34}, {11,39}, {6,49}, {22,42}, {7,33}, {23,28}, {24,30}, {2,48}, {15,30}, {19,52}, {5,37}, {24,50}, {13,55}, {18,35}, {24,31}, {20,35}, {1,36}, {1,29}, {19,42}, {12,37}, {13,51}, {16,34}, {6,46}, {16,43}, {10,35}, {15,45}, {18,39}, {6,44}, {24,26}, {8,38}, {20,55}, {17,47}, {5,50}, {12,52}, {5,34}, {1,26}, {14,32}, {13,41}, {8,49}, {18,29}, {9,36}, {6,34}, {1,43}, {5,54}, {22,43}, {3,38}, {5,27}, {19,46}, {24,41}, {14,46}, {9,46}, {24,40}, {7,32}, {3,31}, {12,27}, {3,51}, {18,55}, {1,39}, {13,49}, {7,37}, {7,53}, {5,35}, {15,50}, {8,48}, {4,32}, {25,44}, {12,47}, {23,39}, {6,36}, {18,51}, {16,29}, {11,36}, {13,48}, {3,55}, {9,51}, {22,48}, {15,37}, {15,34}, {11,33}, {19,30}, {10,55}, {4,41}, {8,41}, {9,26}, {18,38}, {8,45}, {3,29}, {20,54}, {11,44}, {13,45}, {23,48}, {11,34}, {17,28}, {11,46}, {25,30}, {2,43}, {2,27}, {9,31}, {10,44}, {23,51}, {23,35}, {20,30}, {13,31}, {9,30}, {7,28}, {20,44}, {19,41}, {13,29}, {14,52}, {10,30}, {20,47}, {5,40}, {4,50}, {25,45}, {17,38}, {15,35}, {22,53}, {17,52}, {9,52}, {16,26}, {11,54}, {15,40}, {19,50}, {1,44}, {13,38}, {10,54}, {18,31}, {14,40}, {9,41}, {3,41}, {4,36}, {1,54}, {22,52}, {25,50}, {21,39}, {7,52}, {6,43}, {24,51}, {16,44}, {21,49}, {12,43}, {18,41}, {10,40}, {2,28}, {8,29}, {22,38}, {21,46}, {3,48}, {16,36}, {14,26}, {20,50}, {10,50}, {14,51}, {16,53}, {18,28}, {16,46}, {4,46}, {1,33}, {21,33}, {3,45}, {2,53}, {7,47}, {2,37}, {4,42}, {12,53}, {23,55}, {14,30}, {21,34}, {3,28}, {12,33}, {5,47}, {20,27}, {6,54}, {18,49}, {15,55}, {15,47}, {22,33}, {21,44}, {1,53}, {24,52}, {9,50}, {6,26}, {22,27}, {1,34}, {13,35}, {21,43}, {7,42}, {23,49}, {21,29}, {19,36}, {19,32}, {20,34}, {20,45}, {2,47}, {8,55}, {5,55}, {14,42}, {10,27}, {10,34}, {16,33}, {17,53}, {17,27}, {10,45}, {8,35}, {14,41}, {4,26}, {16,54}, {17,37}, {16,39}, {13,28}, {7,38}, {2,38}, {12,32}, {25,35}, {21,36}, {6,53}, {8,28}, {7,43}, {9,40}, {19,51}, {24,42}, {20,40}, {5,44}, {25,27}, {25,54}, {4,52}, {22,47}, {1,46}, {8,39}, {22,32}, {23,41}, {9,42}, {25,55}, {17,32}, {17,43}, {21,26}, {22,28}, {2,42}, {2,32}, {6,33}, {18,48}, {11,26}, {17,48}, {5,30} }; // ETB55.13 // Bipartite(25,30) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12093235200 EdgesBipt[55][13]:={ {15,33}, {18,45}, {7,48}, {19,28}, {11,40}, {5,38}, {23,29}, {19,26}, {25,37}, {25,47}, {8,51}, {3,26}, {22,40}, {1,49}, {25,40}, {17,42}, {11,43}, {3,35}, {20,46}, {16,55}, {11,53}, {21,54}, {10,39}, {19,37}, {20,37}, {16,28}, {7,30}, {15,41}, {8,31}, {4,37}, {2,46}, {13,43}, {24,48}, {14,29}, {24,28}, {14,44}, {2,33}, {10,42}, {20,38}, {2,34}, {20,26}, {22,55}, {18,32}, {16,48}, {15,32}, {23,38}, {9,33}, {5,41}, {17,39}, {8,52}, {7,41}, {12,42}, {22,42}, {12,31}, {19,48}, {23,28}, {24,30}, {15,30}, {24,50}, {24,47}, {13,55}, {18,35}, {24,45}, {20,35}, {1,36}, {1,29}, {6,46}, {16,43}, {6,44}, {20,55}, {13,26}, {17,47}, {4,49}, {12,52}, {1,26}, {14,32}, {2,36}, {8,49}, {20,36}, {25,52}, {16,40}, {10,51}, {24,37}, {9,36}, {6,34}, {11,51}, {8,42}, {18,33}, {22,43}, {19,46}, {3,43}, {21,55}, {5,28}, {9,46}, {24,40}, {19,38}, {1,31}, {19,47}, {18,55}, {1,39}, {6,27}, {14,34}, {15,50}, {3,36}, {19,49}, {17,29}, {14,54}, {2,44}, {21,45}, {19,27}, {6,36}, {23,39}, {23,40}, {13,48}, {3,55}, {9,51}, {21,47}, {2,51}, {11,33}, {14,39}, {11,48}, {8,41}, {9,38}, {24,55}, {9,26}, {21,37}, {13,36}, {1,41}, {1,51}, {13,53}, {25,32}, {12,41}, {18,54}, {3,44}, {13,45}, {4,47}, {23,48}, {21,42}, {25,30}, {22,30}, {2,43}, {7,50}, {10,31}, {9,31}, {10,29}, {15,52}, {15,53}, {22,50}, {5,39}, {24,38}, {18,44}, {14,27}, {22,45}, {7,28}, {6,45}, {8,34}, {14,52}, {17,30}, {10,30}, {20,47}, {23,47}, {25,45}, {16,30}, {4,34}, {17,52}, {22,53}, {21,32}, {15,40}, {10,52}, {14,37}, {1,44}, {13,38}, {23,27}, {24,35}, {7,49}, {9,41}, {16,45}, {7,39}, {4,36}, {4,29}, {1,54}, {22,52}, {25,50}, {19,29}, {6,37}, {8,32}, {24,27}, {5,31}, {20,48}, {4,44}, {2,54}, {7,40}, {2,41}, {12,43}, {2,26}, {3,53}, {25,42}, {17,50}, {10,40}, {23,37}, {7,29}, {14,47}, {8,29}, {21,52}, {5,46}, {6,47}, {3,33}, {10,50}, {11,30}, {19,39}, {9,28}, {3,34}, {16,53}, {4,27}, {4,46}, {18,52}, {2,31}, {16,38}, {20,28}, {3,54}, {3,45}, {2,53}, {12,44}, {5,26}, {5,29}, {16,50}, {12,53}, {10,41}, {21,34}, {7,31}, {12,33}, {20,27}, {6,54}, {21,35}, {7,51}, {14,49}, {22,33}, {11,31}, {21,44}, {5,51}, {11,41}, {6,26}, {15,42}, {1,34}, {13,35}, {21,27}, {23,49}, {17,40}, {12,34}, {8,44}, {19,36}, {23,30}, {13,33}, {18,43}, {15,51}, {18,53}, {5,49}, {20,45}, {11,28}, {16,35}, {14,42}, {16,33}, {17,27}, {8,54}, {4,26}, {17,37}, {13,28}, {7,38}, {23,50}, {12,32}, {25,35}, {22,35}, {15,31}, {6,55}, {12,54}, {25,27}, {9,53}, {9,43}, {1,46}, {8,39}, {22,32}, {25,55}, {5,36}, {15,43}, {13,46}, {10,32}, {4,39}, {6,35}, {17,32}, {11,50}, {18,42}, {18,34}, {12,51}, {17,49}, {3,46}, {9,48}, {5,48}, {4,54}, {11,38}, {10,49} }; // ETB55.14 // Bipartite(25,30) Valencies [12,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9830400 EdgesBipt[55][14]:={ {18,45}, {11,40}, {10,37}, {16,47}, {15,38}, {23,29}, {19,26}, {4,28}, {8,26}, {1,49}, {25,40}, {13,37}, {14,38}, {17,42}, {15,54}, {4,31}, {3,35}, {20,46}, {14,31}, {15,27}, {16,55}, {24,36}, {11,53}, {2,49}, {10,39}, {14,45}, {6,48}, {19,37}, {16,37}, {21,28}, {5,32}, {4,51}, {8,31}, {2,46}, {24,48}, {23,44}, {24,28}, {13,40}, {6,32}, {3,49}, {11,35}, {20,38}, {19,40}, {2,34}, {12,28}, {22,37}, {4,43}, {16,42}, {18,32}, {23,45}, {9,33}, {20,43}, {8,46}, {13,30}, {12,42}, {11,39}, {6,49}, {10,26}, {22,42}, {19,48}, {12,40}, {17,26}, {19,52}, {24,50}, {21,50}, {13,55}, {20,35}, {1,36}, {1,29}, {23,42}, {6,46}, {13,26}, {5,34}, {18,47}, {1,26}, {13,41}, {16,40}, {10,51}, {22,34}, {18,29}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {7,54}, {18,33}, {3,38}, {14,46}, {2,39}, {24,40}, {7,32}, {19,38}, {1,31}, {3,31}, {12,27}, {25,33}, {25,26}, {1,39}, {15,50}, {17,29}, {4,32}, {22,49}, {14,28}, {12,47}, {23,40}, {24,53}, {11,36}, {3,30}, {13,48}, {9,51}, {21,47}, {10,36}, {15,37}, {10,38}, {15,34}, {21,31}, {8,41}, {24,55}, {9,26}, {11,52}, {1,41}, {12,55}, {1,51}, {20,31}, {13,45}, {4,47}, {17,55}, {17,28}, {7,35}, {25,30}, {22,30}, {2,27}, {6,30}, {7,50}, {25,41}, {15,52}, {15,53}, {22,50}, {20,30}, {24,38}, {19,55}, {18,44}, {14,27}, {22,45}, {7,28}, {6,45}, {17,44}, {19,41}, {13,29}, {17,30}, {23,47}, {25,45}, {15,35}, {12,29}, {25,53}, {6,31}, {9,52}, {21,32}, {11,54}, {10,52}, {3,42}, {14,43}, {1,44}, {15,49}, {23,27}, {24,35}, {10,54}, {19,53}, {24,43}, {9,41}, {25,38}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,54}, {22,52}, {24,51}, {5,31}, {20,48}, {4,44}, {2,54}, {7,40}, {2,41}, {17,41}, {12,43}, {2,26}, {3,53}, {23,37}, {18,30}, {8,29}, {13,44}, {8,27}, {21,46}, {23,52}, {5,46}, {6,47}, {25,43}, {14,26}, {20,50}, {23,32}, {3,50}, {19,33}, {3,34}, {7,55}, {4,46}, {18,52}, {8,43}, {2,31}, {20,28}, {21,33}, {20,53}, {16,27}, {3,45}, {2,53}, {12,44}, {7,47}, {5,29}, {16,50}, {10,41}, {23,55}, {14,30}, {12,39}, {5,47}, {21,35}, {18,49}, {7,51}, {20,33}, {5,51}, {22,27}, {1,34}, {15,42}, {21,43}, {10,53}, {17,40}, {8,44}, {19,36}, {23,30}, {21,48}, {21,51}, {13,33}, {5,49}, {20,45}, {11,37}, {16,35}, {14,42}, {10,34}, {17,27}, {8,54}, {17,45}, {14,41}, {16,54}, {16,39}, {16,52}, {3,27}, {2,38}, {12,32}, {22,35}, {21,36}, {8,28}, {9,49}, {7,43}, {11,55}, {19,51}, {5,44}, {12,54}, {22,47}, {14,53}, {1,46}, {8,39}, {22,32}, {25,55}, {25,28}, {5,36}, {9,34}, {24,33}, {4,39}, {25,48}, {7,36}, {6,35}, {11,50}, {13,52}, {17,43}, {6,50}, {2,42}, {16,32}, {6,33}, {18,34}, {18,48}, {3,46}, {9,48}, {5,48}, {18,37}, {5,33}, {4,54}, {11,38}, {10,49}, {9,37} }; // ETB55.15 // Bipartite(20,35) Valencies [14,8] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 258945811604073086976000000 EdgesBipt[55][15]:={ {13,21}, {19,28}, {10,37}, {11,49}, {5,22}, {16,51}, {4,28}, {2,55}, {8,51}, {12,22}, {3,26}, {8,26}, {1,49}, {14,38}, {17,42}, {15,44}, {15,54}, {14,50}, {2,35}, {8,21}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {3,21}, {20,37}, {5,32}, {7,30}, {8,31}, {4,40}, {20,52}, {13,43}, {16,21}, {17,35}, {4,38}, {11,29}, {10,42}, {6,29}, {10,47}, {19,40}, {2,25}, {4,43}, {15,32}, {2,52}, {4,30}, {16,49}, {9,33}, {7,45}, {8,46}, {20,24}, {20,49}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {12,40}, {19,48}, {20,29}, {1,24}, {20,39}, {5,37}, {9,35}, {1,36}, {1,29}, {12,37}, {13,51}, {16,34}, {6,46}, {6,44}, {4,23}, {8,38}, {13,26}, {17,47}, {12,52}, {6,24}, {5,34}, {18,46}, {1,26}, {13,41}, {20,42}, {6,34}, {11,51}, {18,26}, {18,36}, {5,54}, {18,33}, {6,51}, {3,38}, {5,27}, {3,43}, {14,35}, {7,32}, {19,38}, {1,31}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {2,30}, {3,36}, {19,23}, {8,48}, {14,28}, {11,21}, {12,47}, {6,36}, {18,51}, {4,53}, {16,29}, {11,36}, {13,48}, {14,33}, {15,37}, {14,23}, {15,34}, {9,55}, {19,30}, {8,41}, {9,38}, {18,38}, {13,36}, {1,41}, {20,22}, {4,45}, {12,55}, {1,51}, {13,53}, {20,54}, {11,44}, {17,55}, {11,34}, {7,35}, {19,45}, {11,46}, {5,52}, {2,27}, {12,30}, {4,33}, {7,50}, {11,24}, {10,44}, {10,29}, {15,52}, {13,31}, {9,30}, {5,39}, {8,53}, {19,55}, {16,41}, {20,44}, {9,25}, {17,30}, {10,22}, {20,47}, {4,50}, {12,45}, {6,31}, {15,24}, {17,52}, {16,26}, {11,54}, {12,25}, {10,52}, {14,43}, {19,50}, {1,44}, {13,38}, {15,49}, {10,54}, {19,53}, {18,31}, {14,40}, {16,31}, {3,41}, {15,39}, {1,54}, {7,52}, {17,22}, {17,25}, {16,44}, {7,40}, {12,50}, {20,32}, {3,53}, {17,50}, {18,41}, {14,55}, {18,21}, {9,23}, {8,36}, {2,45}, {4,55}, {3,48}, {3,33}, {16,36}, {19,33}, {9,28}, {19,43}, {7,55}, {18,28}, {16,46}, {5,24}, {15,29}, {2,22}, {8,43}, {19,25}, {7,47}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {8,33}, {5,47}, {6,54}, {20,27}, {15,47}, {11,31}, {19,35}, {11,41}, {7,25}, {9,50}, {7,22}, {6,26}, {15,42}, {1,34}, {7,42}, {2,50}, {6,41}, {17,40}, {18,23}, {4,35}, {13,33}, {18,43}, {18,53}, {14,25}, {5,49}, {20,34}, {2,47}, {10,24}, {10,27}, {10,34}, {17,27}, {13,23}, {2,40}, {6,21}, {17,45}, {15,22}, {9,45}, {16,54}, {17,37}, {16,39}, {13,28}, {16,24}, {5,42}, {12,32}, {8,28}, {9,40}, {5,44}, {9,53}, {9,43}, {14,53}, {1,46}, {10,32}, {13,46}, {12,35}, {17,32}, {14,48}, {2,42}, {4,48}, {2,32}, {18,48}, {11,26}, {3,46}, {9,48}, {10,49} }; // ETB55.16 // Bipartite(20,35) Valencies [14,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 399607733956902912000000 EdgesBipt[55][16]:={ {6,38}, {14,36}, {11,49}, {19,26}, {4,28}, {2,55}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {14,38}, {17,42}, {15,44}, {15,54}, {2,35}, {4,31}, {10,33}, {8,21}, {14,31}, {3,23}, {1,21}, {6,48}, {16,28}, {4,51}, {8,31}, {13,43}, {13,27}, {10,48}, {19,21}, {4,38}, {11,29}, {6,29}, {19,40}, {20,38}, {19,31}, {2,25}, {4,43}, {18,32}, {16,48}, {2,52}, {16,49}, {20,43}, {8,46}, {8,37}, {17,39}, {8,52}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {3,52}, {12,40}, {13,47}, {1,24}, {15,30}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {16,43}, {10,35}, {15,45}, {6,44}, {4,23}, {20,55}, {17,47}, {5,50}, {12,52}, {6,24}, {5,34}, {18,47}, {18,46}, {1,26}, {8,22}, {9,36}, {6,34}, {11,51}, {8,42}, {18,26}, {7,54}, {5,54}, {18,36}, {3,38}, {19,46}, {3,43}, {14,46}, {9,46}, {3,47}, {7,32}, {1,31}, {12,27}, {1,39}, {7,37}, {2,30}, {5,35}, {15,50}, {4,21}, {17,29}, {20,25}, {14,28}, {11,21}, {12,47}, {18,51}, {4,53}, {16,29}, {11,36}, {13,48}, {9,51}, {14,33}, {14,23}, {10,38}, {15,34}, {18,22}, {9,55}, {19,30}, {10,55}, {8,47}, {4,41}, {8,41}, {14,21}, {9,26}, {17,54}, {1,41}, {12,55}, {1,51}, {13,53}, {11,44}, {11,34}, {19,45}, {11,46}, {2,27}, {12,30}, {4,33}, {7,34}, {11,24}, {9,31}, {13,22}, {20,30}, {9,30}, {5,39}, {19,55}, {3,32}, {17,44}, {19,41}, {9,25}, {10,30}, {5,40}, {12,45}, {10,25}, {15,35}, {15,24}, {17,52}, {12,25}, {11,54}, {15,40}, {19,50}, {3,42}, {14,43}, {3,22}, {1,44}, {13,38}, {15,49}, {18,31}, {7,49}, {9,41}, {6,23}, {7,39}, {4,36}, {15,39}, {1,54}, {7,52}, {6,43}, {8,32}, {7,24}, {10,28}, {17,22}, {20,48}, {16,44}, {12,50}, {3,53}, {18,41}, {10,40}, {18,21}, {9,21}, {7,29}, {8,36}, {8,27}, {2,45}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {20,50}, {14,51}, {16,53}, {5,24}, {15,29}, {2,22}, {4,46}, {18,52}, {16,38}, {20,28}, {18,27}, {20,53}, {19,25}, {7,47}, {2,37}, {5,29}, {3,28}, {17,34}, {6,54}, {15,55}, {11,31}, {20,33}, {19,35}, {11,41}, {9,50}, {7,22}, {1,34}, {7,42}, {2,50}, {10,53}, {17,24}, {20,23}, {19,36}, {6,28}, {16,23}, {13,33}, {5,49}, {20,45}, {2,47}, {5,55}, {16,33}, {17,27}, {10,45}, {13,23}, {2,40}, {9,45}, {14,41}, {4,26}, {16,54}, {17,37}, {16,39}, {13,28}, {16,24}, {3,27}, {12,32}, {10,43}, {6,53}, {7,44}, {9,40}, {19,51}, {20,40}, {5,44}, {5,25}, {10,23}, {14,53}, {1,46}, {3,37}, {12,35}, {17,32}, {13,52}, {14,48}, {2,42}, {18,42}, {4,48}, {6,33}, {2,32}, {17,49}, {11,26}, {15,25}, {18,37}, {5,30} }; // ETB55.17 // Bipartite(22,33) Valencies [15,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 490385524654080 EdgesBipt[55][17]:={ {6,52}, {18,45}, {6,38}, {10,37}, {14,36}, {9,32}, {16,51}, {4,28}, {5,43}, {1,49}, {13,37}, {14,38}, {17,42}, {13,39}, {14,50}, {2,35}, {10,33}, {21,30}, {16,55}, {21,41}, {11,53}, {2,49}, {8,23}, {16,37}, {3,39}, {5,32}, {4,51}, {15,41}, {4,37}, {4,40}, {20,52}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {14,44}, {17,35}, {3,49}, {11,35}, {6,29}, {10,47}, {22,55}, {12,48}, {16,42}, {16,48}, {18,32}, {4,30}, {8,30}, {20,43}, {7,45}, {8,52}, {12,38}, {12,26}, {12,42}, {11,39}, {6,49}, {10,26}, {22,42}, {12,31}, {13,24}, {2,48}, {15,30}, {12,23}, {20,39}, {5,37}, {19,52}, {18,35}, {1,36}, {12,37}, {6,46}, {16,43}, {10,35}, {15,45}, {4,23}, {8,38}, {13,26}, {9,47}, {6,24}, {18,47}, {1,38}, {18,46}, {1,26}, {8,49}, {20,36}, {16,40}, {20,42}, {22,34}, {18,29}, {9,36}, {12,49}, {9,39}, {7,54}, {5,54}, {18,36}, {6,51}, {3,38}, {15,28}, {21,55}, {20,41}, {2,39}, {3,47}, {1,42}, {7,32}, {19,38}, {1,31}, {12,27}, {3,51}, {13,49}, {6,27}, {11,42}, {5,53}, {15,50}, {3,36}, {19,23}, {19,49}, {17,29}, {20,25}, {19,27}, {14,28}, {12,47}, {18,51}, {16,29}, {13,48}, {3,55}, {1,47}, {2,24}, {11,23}, {21,47}, {10,36}, {14,33}, {15,37}, {15,34}, {10,46}, {11,33}, {21,25}, {17,51}, {14,39}, {19,30}, {10,55}, {4,41}, {8,41}, {21,37}, {7,46}, {8,45}, {3,29}, {17,31}, {4,45}, {9,54}, {15,23}, {18,54}, {20,54}, {11,44}, {3,44}, {20,31}, {3,25}, {11,34}, {7,35}, {19,45}, {11,46}, {2,43}, {2,27}, {6,30}, {22,44}, {7,34}, {11,24}, {9,31}, {10,44}, {18,25}, {15,52}, {17,46}, {1,25}, {22,31}, {22,50}, {13,50}, {20,30}, {9,30}, {19,55}, {14,27}, {22,45}, {19,41}, {8,34}, {9,25}, {17,30}, {10,30}, {5,40}, {20,47}, {4,50}, {7,23}, {12,45}, {4,34}, {10,25}, {17,38}, {6,31}, {17,52}, {22,53}, {9,52}, {16,26}, {12,25}, {15,40}, {10,52}, {13,38}, {19,44}, {14,40}, {1,48}, {9,41}, {16,31}, {15,39}, {4,29}, {8,32}, {22,39}, {7,24}, {5,31}, {19,34}, {16,44}, {2,54}, {7,40}, {17,41}, {20,32}, {2,26}, {14,55}, {7,29}, {14,47}, {2,28}, {21,52}, {8,27}, {21,46}, {3,33}, {13,32}, {1,45}, {20,50}, {14,51}, {3,50}, {19,33}, {9,28}, {16,53}, {19,43}, {15,29}, {18,24}, {8,43}, {11,45}, {20,28}, {21,33}, {20,53}, {12,36}, {5,26}, {7,47}, {2,37}, {5,29}, {12,53}, {10,41}, {3,28}, {8,33}, {21,35}, {7,51}, {14,49}, {22,33}, {11,31}, {21,44}, {15,48}, {1,53}, {5,51}, {7,25}, {9,50}, {1,34}, {13,35}, {22,23}, {2,50}, {6,41}, {17,24}, {17,40}, {12,34}, {8,44}, {6,42}, {18,23}, {21,48}, {19,32}, {18,43}, {15,51}, {14,25}, {13,54}, {11,28}, {1,23}, {8,55}, {22,24}, {10,24}, {5,55}, {16,33}, {17,53}, {3,40}, {17,27}, {8,54}, {4,26}, {16,54}, {22,46}, {13,28}, {3,27}, {5,42}, {2,38}, {22,35}, {21,36}, {6,53}, {7,43}, {18,40}, {11,55}, {1,27}, {5,44}, {9,53}, {15,26}, {4,52}, {9,43}, {9,42}, {13,46}, {4,39}, {7,36}, {6,35}, {21,24}, {11,50}, {21,26}, {22,28}, {1,37}, {16,32}, {4,48}, {2,32}, {18,34}, {17,49}, {19,54}, {5,48}, {5,33}, {6,40} }; // ETB55.18 // Bipartite(22,33) Valencies [15,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 39907676160 EdgesBipt[55][18]:={ {6,52}, {7,48}, {16,47}, {11,49}, {9,32}, {6,25}, {16,51}, {11,25}, {4,28}, {5,43}, {5,45}, {1,49}, {17,42}, {13,39}, {15,54}, {2,35}, {3,35}, {14,31}, {2,49}, {8,23}, {16,37}, {3,39}, {21,28}, {5,32}, {4,51}, {7,30}, {15,41}, {4,40}, {20,52}, {2,46}, {14,29}, {14,44}, {17,35}, {4,38}, {21,53}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {22,55}, {22,37}, {12,48}, {21,40}, {16,48}, {15,32}, {16,49}, {12,46}, {9,33}, {20,43}, {7,45}, {5,41}, {17,39}, {21,38}, {7,41}, {20,49}, {12,26}, {3,52}, {12,40}, {17,26}, {13,24}, {2,48}, {15,30}, {12,23}, {5,37}, {21,50}, {13,55}, {18,35}, {16,25}, {13,42}, {9,35}, {1,36}, {12,37}, {16,43}, {10,35}, {6,44}, {20,55}, {17,47}, {4,49}, {17,36}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {14,32}, {16,40}, {10,51}, {18,26}, {18,36}, {5,54}, {18,33}, {6,51}, {19,46}, {3,43}, {15,28}, {20,41}, {2,39}, {9,46}, {1,42}, {12,24}, {1,31}, {19,47}, {3,51}, {18,55}, {7,37}, {5,53}, {15,50}, {19,23}, {14,54}, {22,49}, {21,45}, {8,50}, {6,36}, {16,29}, {11,36}, {3,30}, {1,47}, {22,48}, {2,24}, {11,23}, {22,26}, {3,24}, {14,33}, {10,38}, {10,46}, {9,55}, {21,31}, {8,47}, {9,38}, {8,45}, {3,29}, {11,52}, {17,31}, {12,55}, {13,53}, {9,54}, {20,54}, {4,47}, {13,45}, {19,24}, {11,34}, {17,28}, {21,42}, {19,45}, {11,46}, {2,43}, {5,52}, {22,30}, {2,27}, {6,30}, {7,50}, {4,33}, {22,44}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {18,25}, {15,52}, {17,46}, {15,53}, {1,25}, {22,50}, {13,50}, {20,30}, {13,31}, {3,32}, {18,44}, {7,28}, {20,44}, {8,34}, {10,30}, {4,50}, {7,23}, {12,45}, {12,29}, {6,31}, {16,26}, {10,52}, {14,43}, {14,37}, {14,40}, {1,48}, {7,39}, {3,41}, {4,36}, {15,39}, {22,41}, {4,29}, {9,44}, {22,52}, {21,39}, {7,52}, {19,29}, {8,32}, {22,39}, {9,24}, {5,31}, {17,25}, {19,34}, {4,44}, {2,54}, {21,49}, {7,40}, {5,23}, {20,32}, {2,26}, {17,50}, {18,41}, {10,40}, {14,55}, {7,29}, {18,30}, {2,28}, {22,38}, {8,36}, {13,44}, {4,55}, {6,47}, {16,36}, {14,26}, {1,45}, {14,51}, {11,30}, {3,50}, {4,27}, {19,43}, {11,47}, {18,24}, {18,52}, {8,43}, {16,38}, {11,45}, {3,54}, {16,27}, {12,44}, {5,26}, {19,25}, {2,37}, {10,41}, {4,25}, {3,28}, {21,34}, {12,33}, {8,33}, {20,27}, {15,47}, {7,51}, {22,33}, {20,33}, {1,53}, {19,35}, {13,34}, {11,41}, {15,42}, {1,34}, {22,27}, {13,35}, {2,50}, {21,27}, {6,41}, {10,53}, {21,29}, {17,24}, {20,23}, {12,34}, {8,44}, {19,36}, {6,42}, {21,51}, {19,32}, {13,33}, {20,34}, {7,26}, {20,45}, {1,23}, {8,55}, {10,24}, {14,42}, {10,27}, {17,53}, {3,40}, {13,23}, {8,54}, {16,54}, {17,37}, {13,28}, {9,27}, {5,42}, {2,38}, {15,36}, {15,31}, {6,55}, {6,53}, {8,28}, {9,49}, {19,51}, {1,27}, {9,53}, {9,43}, {14,53}, {8,39}, {9,42}, {15,43}, {13,46}, {4,39}, {12,35}, {14,48}, {22,28}, {1,37}, {8,25}, {16,32}, {6,33}, {2,32}, {12,51}, {18,48}, {3,46}, {19,54}, {17,48}, {5,48}, {15,25}, {18,37}, {5,30}, {11,38}, {10,49}, {6,40}, {21,23} }; // ETB55.19 // Bipartite(15,40) Valencies [16,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8286265971330338783232000000 EdgesBipt[55][19]:={ {8,48}, {15,52}, {3,33}, {5,17}, {10,24}, {9,28}, {6,16}, {11,36}, {13,21}, {5,34}, {15,24}, {12,45}, {10,37}, {4,53}, {4,30}, {4,50}, {8,43}, {9,45}, {12,22}, {12,32}, {7,55}, {8,28}, {15,49}, {9,55}, {8,33}, {3,43}, {14,38}, {7,22}, {15,44}, {1,19}, {2,27}, {12,42}, {13,53}, {5,47}, {12,55}, {9,43}, {1,21}, {11,41}, {15,47}, {12,35}, {15,54}, {14,50}, {10,44}, {9,53}, {5,32}, {9,35}, {14,28}, {4,23}, {8,31}, {12,37}, {12,50}, {13,16}, {2,42}, {10,22}, {3,18}, {6,29}, {8,16}, {2,45}, {4,38}, {15,29}, {6,21}, {2,25}, {14,23}, {3,46}, {6,31}, {14,33}, {9,48}, {5,22}, {7,20}, {10,47}, {12,17}, {15,32}, {12,20}, {1,44}, {5,29}, {8,41}, {11,49}, {2,37}, {2,52}, {10,52}, {11,51}, {14,30}, {14,40}, {7,32}, {10,54}, {1,31}, {4,45}, {7,25}, {11,31}, {2,35}, {11,44}, {15,27}, {1,51}, {4,33}, {10,29}, {6,49}, {3,51}, {15,19}, {15,42}, {2,20}, {13,18}, {14,53}, {9,50}, {1,29}, {7,50}, {7,30}, {13,31}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {13,33}, {14,48}, {13,43}, {6,24}, {11,29}, {14,55}, {6,44}, {7,17}, {6,46}, {5,24}, {12,47}, {4,48}, {8,53}, {13,23}, {5,49}, {12,25}, {15,37}, {15,34}, {10,42}, {13,28}, {4,55}, {9,20}, {4,28}, {4,43}, {15,17}, {3,26}, {13,36}, {8,26}, {5,42}, {11,54}, {2,17}, {6,51}, {7,47}, {12,27}, {9,40}, {5,54}, {8,21}, {1,24}, {14,18}, {11,24}, {1,49}, {5,44}, {11,39}, {6,26}, {12,40}, {12,30}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {6,19}, {1,46}, {11,46}, {6,54}, {6,41}, {9,30}, {10,39}, {13,46}, {14,20}, {5,39}, {14,25}, {3,16}, {11,26}, {13,26}, {3,53}, {14,45}, {4,40}, {11,16}, {6,36}, {9,18}, {10,17}, {8,38}, {10,27}, {1,26}, {2,22}, {1,16}, {3,48}, {10,34}, {15,22}, {13,51}, {13,48}, {2,47}, {10,49}, {13,41}, {2,40}, {9,33}, {12,52}, {6,34}, {5,27}, {14,43}, {8,18}, {4,18}, {13,38}, {9,38}, {11,19}, {10,19}, {4,25}, {3,38}, {4,20}, {3,28}, {7,27}, {7,45}, {8,46}, {14,35}, {1,41}, {3,41}, {3,31}, {15,39}, {8,51}, {6,39}, {2,55}, {11,34}, {5,19}, {7,35}, {2,30}, {7,37}, {1,54}, {1,34}, {7,52}, {5,37}, {3,36}, {7,40}, {7,42}, {9,23}, {5,52}, {1,36}, {2,50} }; // ETB55.20 // Bipartite(15,40) Valencies [16,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 59162962846411653120 EdgesBipt[55][20]:={ {8,48}, {11,53}, {5,17}, {10,24}, {10,25}, {2,33}, {6,16}, {11,36}, {13,21}, {5,34}, {15,24}, {4,26}, {4,16}, {10,37}, {4,30}, {4,50}, {14,51}, {7,48}, {2,23}, {5,55}, {12,22}, {12,32}, {7,38}, {8,28}, {3,45}, {3,25}, {12,38}, {7,22}, {4,31}, {15,44}, {1,19}, {2,27}, {12,42}, {3,35}, {5,47}, {5,20}, {13,35}, {14,31}, {8,39}, {15,47}, {15,54}, {14,50}, {8,25}, {10,44}, {2,28}, {8,31}, {12,37}, {13,29}, {2,42}, {13,55}, {15,25}, {3,18}, {10,30}, {6,29}, {15,45}, {5,40}, {11,33}, {4,22}, {8,19}, {3,49}, {10,47}, {9,32}, {14,21}, {14,36}, {5,50}, {12,17}, {9,26}, {15,40}, {1,44}, {4,41}, {8,41}, {2,38}, {11,49}, {2,37}, {2,52}, {8,45}, {14,30}, {14,40}, {4,42}, {9,41}, {5,25}, {7,32}, {10,54}, {2,53}, {7,43}, {11,44}, {15,27}, {6,43}, {4,21}, {6,49}, {3,51}, {9,42}, {14,16}, {13,49}, {13,18}, {2,48}, {4,52}, {9,50}, {10,40}, {12,43}, {1,29}, {3,39}, {13,31}, {7,53}, {2,32}, {6,33}, {15,50}, {1,23}, {11,23}, {6,24}, {11,29}, {5,30}, {6,44}, {7,17}, {6,46}, {15,35}, {5,24}, {12,47}, {12,28}, {15,37}, {14,42}, {15,34}, {13,25}, {8,35}, {13,28}, {15,20}, {9,20}, {14,41}, {9,51}, {1,33}, {15,17}, {10,45}, {3,29}, {6,23}, {1,43}, {4,46}, {9,22}, {12,33}, {11,54}, {2,17}, {4,36}, {10,55}, {7,47}, {12,27}, {9,40}, {5,54}, {8,21}, {3,19}, {1,24}, {12,23}, {14,22}, {11,24}, {1,49}, {5,44}, {11,39}, {6,26}, {12,53}, {1,39}, {3,21}, {6,19}, {1,46}, {11,46}, {6,54}, {1,53}, {9,30}, {14,20}, {7,28}, {11,26}, {4,40}, {10,35}, {7,23}, {11,16}, {13,19}, {6,36}, {10,17}, {4,51}, {8,38}, {10,27}, {1,26}, {2,22}, {1,16}, {3,48}, {10,34}, {13,51}, {13,48}, {14,32}, {2,47}, {13,41}, {10,50}, {14,52}, {9,36}, {12,52}, {6,34}, {3,55}, {5,27}, {8,55}, {8,49}, {8,18}, {13,38}, {11,19}, {12,48}, {3,38}, {9,52}, {4,20}, {3,28}, {7,27}, {5,45}, {3,41}, {3,31}, {9,46}, {8,51}, {10,20}, {6,39}, {14,46}, {7,33}, {11,34}, {13,39}, {11,43}, {6,53}, {13,45}, {15,30}, {7,37}, {5,35}, {1,54}, {2,18}, {9,31}, {7,52}, {1,34}, {5,37}, {2,43}, {15,55}, {9,21}, {9,16}, {7,42}, {8,29}, {4,32}, {12,18}, {1,36}, {14,26}, {7,18} }; // ETB55.21 // Bipartite(15,40) Valencies [16,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 45650434295070720 EdgesBipt[55][21]:={ {6,48}, {2,44}, {11,17}, {11,53}, {2,24}, {1,20}, {10,25}, {9,28}, {2,33}, {6,16}, {6,32}, {11,36}, {13,21}, {4,24}, {14,19}, {4,26}, {12,51}, {3,40}, {4,16}, {12,45}, {15,46}, {10,37}, {4,30}, {4,50}, {6,17}, {14,39}, {2,23}, {7,55}, {8,42}, {8,54}, {15,49}, {15,31}, {1,32}, {12,38}, {1,40}, {9,44}, {14,38}, {8,52}, {12,41}, {9,49}, {12,55}, {5,20}, {3,37}, {1,21}, {12,35}, {15,43}, {8,25}, {13,47}, {2,28}, {1,30}, {5,32}, {14,28}, {8,44}, {8,31}, {13,29}, {2,54}, {2,42}, {10,22}, {15,16}, {6,22}, {3,18}, {3,17}, {15,29}, {6,47}, {5,40}, {11,33}, {2,34}, {9,48}, {1,50}, {5,22}, {9,29}, {7,20}, {10,47}, {14,36}, {5,50}, {5,29}, {8,41}, {2,38}, {9,19}, {2,52}, {10,52}, {5,43}, {8,45}, {15,26}, {1,31}, {4,45}, {2,53}, {7,43}, {7,25}, {11,44}, {1,22}, {1,51}, {5,23}, {9,54}, {10,29}, {3,20}, {9,34}, {3,51}, {15,19}, {14,16}, {13,49}, {6,18}, {2,48}, {9,50}, {12,43}, {7,30}, {7,50}, {13,31}, {7,53}, {4,35}, {15,41}, {2,32}, {14,48}, {15,53}, {11,23}, {13,44}, {14,55}, {5,30}, {7,17}, {6,46}, {12,28}, {5,49}, {12,25}, {8,22}, {13,54}, {8,35}, {10,42}, {4,55}, {9,20}, {3,50}, {3,27}, {4,54}, {10,45}, {4,46}, {15,36}, {5,42}, {1,52}, {12,33}, {11,54}, {4,36}, {10,55}, {7,47}, {9,40}, {8,32}, {8,21}, {1,42}, {14,18}, {12,23}, {6,27}, {11,24}, {13,24}, {6,26}, {12,53}, {10,32}, {14,49}, {3,21}, {1,46}, {11,46}, {6,28}, {9,30}, {10,39}, {13,27}, {15,21}, {5,39}, {14,25}, {6,42}, {11,26}, {14,45}, {4,40}, {10,35}, {7,23}, {11,16}, {13,19}, {6,36}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {11,37}, {11,27}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {13,51}, {15,51}, {15,33}, {8,24}, {10,49}, {13,41}, {6,38}, {11,47}, {8,55}, {9,39}, {6,52}, {9,38}, {12,48}, {4,25}, {10,19}, {3,38}, {4,20}, {3,28}, {7,27}, {7,45}, {14,35}, {15,23}, {1,41}, {13,37}, {3,41}, {3,31}, {15,39}, {9,24}, {8,51}, {14,46}, {7,33}, {6,37}, {12,31}, {3,47}, {11,34}, {13,34}, {5,19}, {7,35}, {13,39}, {11,43}, {13,17}, {7,37}, {2,18}, {2,43}, {7,40}, {4,44}, {5,52}, {12,18}, {1,36}, {5,53}, {12,21}, {14,29}, {14,26} }; // ETB55.22 // Bipartite(10,45) Valencies [18,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2013562631033272324325376000000 EdgesBipt[55][22]:={ {8,48}, {1,11}, {3,33}, {5,17}, {10,24}, {9,28}, {6,16}, {7,15}, {5,34}, {10,37}, {4,53}, {4,30}, {4,50}, {8,43}, {9,45}, {7,55}, {8,28}, {9,55}, {3,13}, {8,33}, {3,43}, {2,15}, {7,22}, {1,19}, {2,27}, {5,47}, {9,43}, {1,21}, {10,44}, {9,53}, {5,32}, {6,11}, {9,35}, {4,23}, {8,31}, {2,42}, {10,22}, {3,18}, {6,29}, {8,16}, {2,45}, {4,38}, {6,21}, {2,25}, {7,12}, {3,46}, {6,31}, {9,48}, {5,22}, {7,20}, {10,47}, {1,44}, {5,29}, {8,41}, {2,37}, {2,52}, {10,52}, {7,32}, {10,54}, {1,31}, {4,45}, {7,25}, {2,35}, {1,51}, {4,33}, {10,29}, {6,49}, {3,51}, {2,20}, {9,50}, {1,29}, {7,50}, {7,30}, {4,35}, {9,25}, {8,36}, {2,32}, {6,24}, {6,44}, {7,17}, {6,46}, {8,11}, {5,24}, {4,48}, {8,53}, {5,49}, {8,13}, {10,42}, {5,14}, {9,20}, {4,55}, {4,15}, {4,13}, {3,11}, {4,28}, {4,43}, {10,12}, {3,26}, {8,26}, {5,42}, {2,17}, {6,51}, {7,47}, {9,13}, {5,12}, {9,40}, {5,54}, {8,21}, {1,24}, {1,49}, {5,44}, {6,26}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {6,19}, {1,46}, {6,54}, {6,41}, {6,14}, {9,30}, {10,39}, {5,39}, {3,16}, {3,53}, {4,40}, {6,36}, {9,18}, {10,17}, {8,38}, {10,27}, {1,26}, {2,22}, {1,16}, {3,48}, {10,34}, {2,47}, {10,49}, {2,40}, {9,33}, {6,34}, {5,27}, {8,18}, {4,18}, {9,38}, {4,25}, {10,19}, {3,38}, {4,20}, {3,28}, {7,27}, {7,45}, {8,46}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {8,51}, {6,39}, {2,55}, {10,14}, {5,19}, {7,35}, {9,15}, {2,30}, {7,37}, {1,54}, {1,34}, {7,52}, {5,37}, {3,36}, {7,40}, {7,42}, {9,23}, {5,52}, {1,36}, {2,50} }; // ETB55.23 // Bipartite(10,45) Valencies [18,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 755085986637477121622016000000 EdgesBipt[55][23]:={ {6,48}, {1,11}, {3,33}, {10,25}, {5,34}, {8,12}, {4,26}, {3,22}, {4,16}, {4,53}, {5,55}, {9,45}, {8,42}, {9,55}, {3,13}, {3,43}, {10,23}, {7,44}, {7,54}, {2,15}, {7,22}, {4,31}, {8,52}, {1,19}, {2,27}, {10,33}, {5,20}, {3,37}, {7,34}, {1,21}, {3,52}, {9,35}, {4,23}, {8,31}, {8,27}, {9,11}, {2,42}, {10,15}, {10,53}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {2,45}, {4,38}, {2,25}, {5,40}, {7,12}, {10,48}, {10,38}, {5,50}, {9,26}, {1,44}, {4,41}, {5,29}, {8,41}, {8,47}, {2,37}, {2,52}, {7,39}, {5,25}, {9,41}, {7,32}, {1,31}, {3,12}, {7,49}, {10,28}, {2,35}, {1,51}, {6,43}, {4,33}, {4,21}, {6,49}, {2,20}, {6,18}, {9,50}, {10,40}, {1,29}, {8,17}, {3,32}, {9,25}, {8,36}, {6,33}, {2,32}, {6,24}, {5,30}, {6,44}, {7,17}, {8,11}, {5,24}, {4,48}, {5,49}, {8,22}, {5,14}, {9,20}, {4,13}, {7,14}, {3,27}, {9,51}, {4,28}, {4,43}, {10,13}, {10,45}, {6,23}, {4,46}, {8,37}, {8,26}, {2,17}, {4,36}, {10,43}, {10,55}, {7,47}, {9,40}, {5,54}, {8,32}, {8,21}, {1,24}, {1,49}, {5,44}, {3,23}, {1,39}, {6,19}, {1,46}, {6,54}, {7,29}, {6,28}, {6,14}, {9,30}, {5,39}, {3,53}, {10,35}, {4,51}, {1,26}, {2,22}, {1,16}, {3,48}, {10,18}, {2,47}, {6,38}, {2,40}, {10,50}, {9,36}, {6,34}, {3,42}, {4,18}, {3,38}, {4,11}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {7,24}, {2,12}, {1,14}, {9,46}, {8,51}, {10,20}, {6,39}, {5,15}, {2,55}, {3,47}, {5,19}, {6,53}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {1,54}, {1,34}, {7,52}, {9,31}, {7,19}, {9,16}, {9,21}, {7,42}, {1,36}, {2,50} }; // ETB55.24 // Bipartite(10,45) Valencies [18,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338533188894720 EdgesBipt[55][24]:={ {6,48}, {1,11}, {5,17}, {10,24}, {2,46}, {7,15}, {5,34}, {4,24}, {8,12}, {3,22}, {10,37}, {4,53}, {4,30}, {4,50}, {8,30}, {7,48}, {2,23}, {2,51}, {8,42}, {3,13}, {3,43}, {7,41}, {1,40}, {4,19}, {9,44}, {8,52}, {9,49}, {10,33}, {5,47}, {3,37}, {1,21}, {3,52}, {8,25}, {10,44}, {9,53}, {2,28}, {5,32}, {6,11}, {8,15}, {4,23}, {8,27}, {10,22}, {6,22}, {4,38}, {3,34}, {7,12}, {3,46}, {10,48}, {6,40}, {2,36}, {9,48}, {3,49}, {9,29}, {7,11}, {7,20}, {10,47}, {1,55}, {9,27}, {5,11}, {1,44}, {5,29}, {2,38}, {8,47}, {9,19}, {10,52}, {5,43}, {7,46}, {8,45}, {10,54}, {1,31}, {3,12}, {4,45}, {2,53}, {9,14}, {2,35}, {1,51}, {6,55}, {6,43}, {10,29}, {9,34}, {2,13}, {9,42}, {2,20}, {6,18}, {1,29}, {7,50}, {7,30}, {8,17}, {2,16}, {3,39}, {4,35}, {7,16}, {8,36}, {6,33}, {2,32}, {7,26}, {5,30}, {5,49}, {8,22}, {5,14}, {4,55}, {4,15}, {3,27}, {9,51}, {4,54}, {6,23}, {8,37}, {5,28}, {7,31}, {5,41}, {2,17}, {8,32}, {8,21}, {3,19}, {1,24}, {5,44}, {6,26}, {8,40}, {1,39}, {10,32}, {1,25}, {9,12}, {1,46}, {6,41}, {6,28}, {10,39}, {3,16}, {4,40}, {10,35}, {2,21}, {9,18}, {10,17}, {3,24}, {1,26}, {4,34}, {1,16}, {10,18}, {2,47}, {6,25}, {6,38}, {4,49}, {2,31}, {10,50}, {9,33}, {9,36}, {8,55}, {5,26}, {3,42}, {6,52}, {9,38}, {4,25}, {4,20}, {5,13}, {3,28}, {7,27}, {7,45}, {1,41}, {5,45}, {3,54}, {3,31}, {1,14}, {8,51}, {10,20}, {5,15}, {7,33}, {6,37}, {10,14}, {5,19}, {7,35}, {6,53}, {6,13}, {1,54}, {2,43}, {9,21}, {4,39}, {7,42}, {9,23}, {1,36}, {2,50}, {7,18} }; // ETB55.25 // Bipartite(22,33) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 490385524654080 EdgesBipt[55][25]:={ {15,33}, {6,38}, {19,28}, {10,37}, {14,36}, {11,49}, {9,32}, {6,25}, {5,38}, {19,26}, {11,25}, {5,43}, {2,55}, {8,51}, {5,45}, {8,26}, {1,49}, {1,40}, {13,39}, {17,42}, {15,44}, {11,43}, {15,54}, {2,35}, {17,33}, {8,40}, {3,35}, {21,30}, {14,31}, {21,41}, {11,53}, {3,23}, {8,23}, {14,45}, {6,48}, {16,37}, {19,37}, {20,37}, {16,28}, {5,32}, {15,41}, {4,37}, {2,46}, {14,29}, {10,48}, {2,33}, {21,53}, {10,42}, {11,27}, {19,40}, {2,34}, {20,26}, {4,24}, {4,43}, {21,40}, {1,52}, {16,48}, {15,32}, {2,52}, {4,30}, {8,30}, {16,49}, {9,33}, {20,43}, {8,37}, {8,52}, {21,38}, {12,38}, {13,30}, {7,27}, {11,39}, {6,49}, {10,26}, {22,42}, {7,33}, {12,40}, {19,48}, {20,29}, {17,26}, {13,24}, {15,30}, {12,23}, {20,39}, {22,25}, {5,37}, {19,52}, {13,55}, {18,35}, {13,42}, {1,29}, {16,34}, {10,35}, {16,43}, {6,44}, {18,39}, {20,55}, {17,47}, {5,50}, {12,52}, {17,36}, {5,34}, {18,47}, {1,38}, {18,46}, {14,32}, {13,41}, {20,42}, {10,51}, {18,29}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {5,54}, {18,33}, {18,36}, {22,43}, {5,27}, {3,43}, {5,28}, {14,46}, {2,39}, {14,35}, {3,47}, {3,31}, {12,27}, {19,47}, {3,51}, {18,55}, {6,27}, {2,30}, {11,42}, {5,35}, {14,34}, {3,36}, {19,23}, {8,48}, {14,54}, {4,32}, {22,49}, {2,44}, {1,30}, {8,50}, {6,36}, {1,55}, {18,51}, {11,36}, {9,51}, {2,24}, {3,24}, {15,37}, {20,51}, {14,23}, {10,38}, {10,46}, {9,55}, {21,31}, {19,30}, {8,47}, {4,41}, {8,41}, {9,26}, {18,38}, {21,37}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {1,41}, {2,23}, {12,55}, {1,51}, {13,53}, {9,54}, {12,41}, {20,54}, {4,47}, {13,45}, {20,31}, {3,25}, {17,55}, {21,42}, {7,35}, {19,45}, {22,30}, {12,30}, {4,33}, {7,50}, {10,31}, {9,31}, {10,29}, {18,25}, {15,52}, {22,31}, {22,50}, {13,50}, {13,31}, {5,39}, {3,32}, {18,44}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {8,34}, {15,46}, {10,30}, {12,45}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {22,53}, {11,54}, {16,26}, {10,52}, {3,42}, {14,43}, {19,50}, {1,44}, {14,40}, {7,49}, {6,23}, {16,45}, {7,39}, {4,36}, {22,41}, {1,32}, {9,44}, {1,54}, {22,52}, {19,29}, {6,37}, {22,39}, {7,24}, {17,25}, {20,48}, {19,34}, {4,44}, {21,49}, {7,40}, {2,41}, {5,23}, {12,43}, {20,32}, {3,53}, {10,40}, {7,29}, {14,47}, {2,28}, {8,29}, {21,52}, {22,38}, {8,36}, {13,44}, {2,45}, {21,46}, {5,46}, {4,55}, {6,47}, {1,45}, {20,50}, {14,51}, {11,30}, {19,39}, {9,28}, {3,34}, {7,55}, {16,46}, {18,28}, {5,24}, {11,47}, {4,46}, {18,24}, {2,31}, {16,38}, {1,33}, {18,27}, {20,28}, {3,54}, {20,53}, {3,45}, {16,27}, {2,53}, {12,44}, {5,26}, {19,25}, {7,47}, {16,50}, {10,41}, {4,25}, {12,33}, {17,34}, {21,35}, {15,55}, {18,49}, {15,47}, {7,51}, {11,31}, {20,33}, {15,48}, {14,24}, {13,34}, {11,41}, {7,25}, {9,50}, {6,26}, {1,34}, {22,27}, {13,35}, {2,50}, {21,27}, {10,53}, {21,29}, {12,34}, {19,36}, {6,42}, {16,23}, {4,35}, {21,48}, {21,51}, {13,33}, {14,25}, {5,49}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {17,53}, {3,40}, {13,23}, {17,27}, {17,45}, {18,50}, {4,26}, {16,54}, {16,39}, {17,37}, {13,28}, {16,24}, {7,38}, {12,32}, {15,36}, {6,55}, {6,53}, {7,44}, {8,28}, {18,40}, {9,40}, {19,51}, {20,40}, {1,27}, {22,54}, {12,54}, {17,23}, {9,53}, {15,26}, {4,52}, {22,36}, {9,43}, {22,47}, {14,53}, {8,39}, {22,32}, {9,42}, {15,43}, {13,46}, {7,36}, {21,24}, {11,50}, {13,52}, {21,26}, {22,28}, {8,25}, {2,42}, {4,48}, {16,32}, {6,33}, {12,51}, {17,49}, {3,46}, {9,48}, {5,48}, {17,48}, {15,25}, {4,54}, {11,38}, {10,49}, {9,37} }; // ETB55.26 // Bipartite(25,30) Valencies [18,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 180551034077184000000 EdgesBipt[55][26]:={ {3,42}, {7,49}, {15,28}, {13,40}, {24,33}, {4,46}, {20,26}, {16,28}, {4,26}, {25,42}, {14,29}, {22,53}, {8,28}, {14,49}, {5,32}, {22,49}, {5,52}, {14,47}, {22,55}, {12,42}, {17,54}, {6,48}, {11,34}, {3,55}, {2,39}, {18,38}, {7,53}, {20,27}, {8,36}, {19,37}, {17,29}, {9,49}, {8,26}, {10,29}, {6,28}, {12,52}, {16,54}, {22,51}, {12,32}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {20,42}, {2,52}, {23,45}, {19,49}, {6,34}, {24,39}, {21,31}, {7,54}, {16,33}, {11,27}, {18,28}, {8,44}, {25,49}, {13,48}, {25,29}, {25,32}, {20,29}, {10,42}, {14,40}, {17,43}, {23,34}, {17,45}, {24,36}, {14,33}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {25,51}, {19,30}, {22,29}, {8,52}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {20,28}, {18,50}, {12,35}, {19,40}, {10,51}, {15,51}, {18,54}, {25,41}, {17,51}, {9,50}, {14,43}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {17,32}, {21,30}, {21,44}, {3,48}, {25,26}, {13,54}, {7,51}, {22,32}, {7,34}, {22,45}, {9,55}, {11,44}, {18,35}, {20,32}, {9,27}, {5,46}, {18,42}, {18,55}, {24,30}, {12,44}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {20,39}, {4,39}, {25,27}, {16,43}, {24,43}, {2,44}, {2,45}, {19,35}, {23,52}, {16,34}, {10,48}, {22,41}, {18,26}, {4,45}, {1,27}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {21,37}, {3,50}, {25,38}, {2,34}, {15,27}, {14,35}, {12,41}, {5,42}, {5,29}, {25,46}, {20,49}, {20,52}, {21,51}, {21,40}, {5,28}, {5,51}, {8,30}, {9,37}, {17,53}, {25,47}, {24,49}, {11,41}, {24,55}, {8,34}, {9,29}, {23,46}, {4,33}, {18,52}, {21,34}, {18,34}, {2,55}, {1,44}, {10,31}, {1,28}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {24,50}, {11,50}, {6,43}, {23,26}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {23,32}, {9,39}, {13,26}, {22,33}, {14,37}, {10,46}, {7,43}, {20,31}, {10,28}, {13,50}, {24,53}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {18,44}, {23,28}, {3,28}, {9,35}, {12,45}, {15,36}, {10,36}, {15,42}, {13,46}, {9,43}, {11,51}, {6,53}, {25,52}, {4,40}, {23,38}, {12,54}, {21,27}, {10,37}, {25,36}, {6,44}, {22,52}, {2,42}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {23,48}, {21,43}, {15,29}, {20,38}, {4,29}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,45}, {6,47}, {20,37}, {11,33}, {1,34}, {4,47}, {24,35}, {24,37}, {2,49}, {21,54}, {23,44}, {16,27}, {19,43}, {14,46}, {9,30}, {3,46}, {16,31}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {1,48}, {19,36}, {16,41}, {13,28}, {17,44}, {2,33}, {17,35}, {15,31}, {24,47}, {9,47}, {4,27}, {18,36}, {19,39}, {21,53}, {5,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {3,38}, {2,43}, {25,48}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {15,38}, {14,30}, {22,39}, {8,32}, {7,52}, {23,40}, {12,53}, {5,31}, {10,38}, {3,30}, {24,27}, {21,33}, {6,54}, {23,55}, {21,47}, {25,39}, {5,49}, {11,28}, {11,43}, {3,52}, {20,51}, {2,53}, {24,29}, {19,50}, {17,34}, {13,55}, {18,46}, {24,46}, {17,39}, {7,32}, {13,38}, {24,26}, {22,54}, {12,51}, {7,44}, {17,52}, {11,54}, {15,39}, {17,49}, {10,39}, {19,47}, {13,34}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {19,27}, {18,40}, {13,30}, {20,48}, {14,39}, {9,45}, {13,52}, {18,45}, {19,53}, {10,41}, {23,35}, {12,34}, {15,41}, {19,45}, {16,44}, {4,50}, {17,41}, {11,30}, {7,39}, {1,33}, {6,33}, {2,32}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {6,27}, {21,41}, {7,45}, {20,41}, {8,46}, {15,32}, {6,30}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,53}, {18,32}, {24,40}, {17,55}, {23,30}, {22,31}, {20,47}, {22,35}, {5,39}, {12,43}, {23,42}, {2,54}, {3,40}, {20,46}, {22,42}, {22,44}, {15,26}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {8,50}, {25,37}, {21,38}, {12,55}, {6,41}, {10,49}, {4,36}, {2,31} }; // ETB55.27 // Bipartite(5,50) Valencies [20,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6292383221978976013516800000000000 EdgesBipt[55][27]:={ {4,35}, {5,32}, {5,14}, {1,11}, {5,52}, {4,55}, {2,22}, {3,38}, {5,42}, {4,8}, {1,31}, {3,46}, {4,48}, {1,46}, {2,20}, {4,40}, {5,34}, {3,53}, {2,47}, {2,37}, {5,24}, {1,9}, {1,44}, {2,55}, {5,7}, {3,31}, {2,15}, {3,51}, {5,9}, {1,29}, {3,48}, {5,37}, {3,18}, {5,49}, {3,41}, {1,34}, {3,11}, {2,10}, {4,20}, {2,52}, {1,36}, {3,13}, {2,50}, {2,32}, {1,16}, {4,33}, {2,17}, {4,28}, {4,53}, {4,43}, {5,19}, {3,23}, {4,45}, {5,29}, {2,42}, {4,30}, {1,19}, {2,40}, {2,35}, {4,15}, {4,25}, {1,26}, {4,38}, {5,22}, {2,27}, {1,54}, {5,27}, {1,39}, {2,12}, {1,49}, {5,47}, {3,28}, {3,26}, {5,17}, {3,21}, {1,14}, {1,51}, {1,41}, {3,16}, {4,18}, {3,8}, {4,50}, {5,12}, {2,25}, {3,6}, {3,36}, {2,7}, {3,43}, {5,44}, {3,33}, {4,23}, {5,39}, {4,13}, {1,21}, {2,30}, {1,6}, {4,10}, {1,24}, {5,54}, {2,45} }; // ETB55.28 // Bipartite(5,50) Valencies [20,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 74300837068800000000000 EdgesBipt[55][28]:={ {5,14}, {3,15}, {1,43}, {2,38}, {4,42}, {3,29}, {2,22}, {3,38}, {5,30}, {5,50}, {5,35}, {1,46}, {4,40}, {5,34}, {4,16}, {2,47}, {2,37}, {5,24}, {1,9}, {2,33}, {1,44}, {5,7}, {4,6}, {3,45}, {2,28}, {3,31}, {2,18}, {4,26}, {3,51}, {3,55}, {3,19}, {1,29}, {4,12}, {3,48}, {5,37}, {3,18}, {3,41}, {1,34}, {3,11}, {4,20}, {2,52}, {2,23}, {4,46}, {1,36}, {2,32}, {1,16}, {2,17}, {2,13}, {3,9}, {5,55}, {5,15}, {4,31}, {2,42}, {4,30}, {1,19}, {4,36}, {4,21}, {2,53}, {1,26}, {1,53}, {4,11}, {2,27}, {4,51}, {2,43}, {3,35}, {1,23}, {1,54}, {2,48}, {5,27}, {5,45}, {1,39}, {2,12}, {4,22}, {5,20}, {1,49}, {5,47}, {3,28}, {5,17}, {3,21}, {1,14}, {3,49}, {4,32}, {3,39}, {2,8}, {1,13}, {5,10}, {3,25}, {4,52}, {3,8}, {4,50}, {1,33}, {2,7}, {4,41}, {5,44}, {1,6}, {5,25}, {4,10}, {5,40}, {1,24}, {5,54} }; // ETB55.29 // Bipartite(11,44) Valencies [20,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1004309554491555840 EdgesBipt[55][29]:={ {11,17}, {11,53}, {3,33}, {2,24}, {1,20}, {10,24}, {10,25}, {11,20}, {9,28}, {6,16}, {2,46}, {11,35}, {8,12}, {4,26}, {3,22}, {3,40}, {10,37}, {4,30}, {4,50}, {8,30}, {5,55}, {8,43}, {8,54}, {4,29}, {8,33}, {1,27}, {3,25}, {7,54}, {10,26}, {2,15}, {4,19}, {8,52}, {2,27}, {10,33}, {5,20}, {9,43}, {2,26}, {7,34}, {7,51}, {7,36}, {10,44}, {9,53}, {11,12}, {2,28}, {5,32}, {4,23}, {8,44}, {8,27}, {2,54}, {11,50}, {10,15}, {10,22}, {3,18}, {11,28}, {10,30}, {6,29}, {3,17}, {8,16}, {7,12}, {5,40}, {10,48}, {6,40}, {6,31}, {11,33}, {1,38}, {9,47}, {5,22}, {8,19}, {3,49}, {3,14}, {10,47}, {9,32}, {5,29}, {4,41}, {8,41}, {2,38}, {9,19}, {2,37}, {10,52}, {5,43}, {7,46}, {8,45}, {9,41}, {2,39}, {7,32}, {11,13}, {1,31}, {10,41}, {4,45}, {11,22}, {7,13}, {9,14}, {7,43}, {7,25}, {11,31}, {2,35}, {11,44}, {3,44}, {6,30}, {9,54}, {6,49}, {3,51}, {2,13}, {9,42}, {6,18}, {2,48}, {4,52}, {9,50}, {2,16}, {3,39}, {9,25}, {2,32}, {1,12}, {5,18}, {1,23}, {11,23}, {6,24}, {6,46}, {4,48}, {8,22}, {1,45}, {5,48}, {9,20}, {4,15}, {7,14}, {3,50}, {3,27}, {10,46}, {4,28}, {10,13}, {3,29}, {5,42}, {2,17}, {10,55}, {6,51}, {7,47}, {5,54}, {8,32}, {8,21}, {1,42}, {5,31}, {6,27}, {11,24}, {1,49}, {5,44}, {11,39}, {8,23}, {11,55}, {1,25}, {6,19}, {11,46}, {5,51}, {1,53}, {7,29}, {6,41}, {1,15}, {9,30}, {1,37}, {3,16}, {4,37}, {6,42}, {4,40}, {10,35}, {7,23}, {2,21}, {5,33}, {8,34}, {4,51}, {8,38}, {1,26}, {4,34}, {1,16}, {10,36}, {9,17}, {1,47}, {6,38}, {9,36}, {3,55}, {8,49}, {8,55}, {5,26}, {4,18}, {6,52}, {9,39}, {10,19}, {3,38}, {4,12}, {9,52}, {11,45}, {3,28}, {7,45}, {1,48}, {7,24}, {1,14}, {5,15}, {3,47}, {10,14}, {11,34}, {6,20}, {7,35}, {5,21}, {6,53}, {6,13}, {1,34}, {9,31}, {5,37}, {2,43}, {4,17}, {6,35}, {3,36}, {9,21}, {11,42}, {4,39}, {7,40}, {7,21}, {1,36}, {5,53}, {2,50}, {2,49}, {7,18} }; // ETB55.30 // Bipartite(11,44) Valencies [20,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 461373440 EdgesBipt[55][30]:={ {6,48}, {2,44}, {8,48}, {11,17}, {11,53}, {2,24}, {10,25}, {11,20}, {9,28}, {6,32}, {4,27}, {2,46}, {7,15}, {5,34}, {3,22}, {4,16}, {4,50}, {11,25}, {2,23}, {5,55}, {8,43}, {2,51}, {4,29}, {1,32}, {8,33}, {3,15}, {1,40}, {7,54}, {10,26}, {1,19}, {5,20}, {3,37}, {9,43}, {8,39}, {11,41}, {7,36}, {3,52}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {8,44}, {8,31}, {2,42}, {10,53}, {10,30}, {3,17}, {8,16}, {2,45}, {4,38}, {3,34}, {10,48}, {6,40}, {11,33}, {1,38}, {2,36}, {9,48}, {9,47}, {5,22}, {3,49}, {10,38}, {1,18}, {10,47}, {9,32}, {9,26}, {1,44}, {2,52}, {10,52}, {5,43}, {8,14}, {11,51}, {7,39}, {7,32}, {11,15}, {1,31}, {3,12}, {10,41}, {4,45}, {7,49}, {7,43}, {7,25}, {11,31}, {2,35}, {1,22}, {3,44}, {6,55}, {4,47}, {4,33}, {9,54}, {10,31}, {9,34}, {3,51}, {2,13}, {9,42}, {2,20}, {6,18}, {9,50}, {7,30}, {8,17}, {3,39}, {4,35}, {9,25}, {6,33}, {1,12}, {8,36}, {6,50}, {1,23}, {11,23}, {6,24}, {11,29}, {7,17}, {6,46}, {8,53}, {5,49}, {1,45}, {8,22}, {10,42}, {4,55}, {9,20}, {4,13}, {7,14}, {3,50}, {3,27}, {4,28}, {10,13}, {3,29}, {3,26}, {8,26}, {5,42}, {1,52}, {6,15}, {7,47}, {5,12}, {5,54}, {8,21}, {3,19}, {1,24}, {5,31}, {11,24}, {5,44}, {11,39}, {6,26}, {8,40}, {11,55}, {6,19}, {9,12}, {1,46}, {11,46}, {6,54}, {1,53}, {6,41}, {6,28}, {6,14}, {4,40}, {10,35}, {7,23}, {6,36}, {2,21}, {3,30}, {5,33}, {4,51}, {11,37}, {2,29}, {8,38}, {10,27}, {2,22}, {4,34}, {1,16}, {10,36}, {3,48}, {9,17}, {10,49}, {4,49}, {11,47}, {5,27}, {8,55}, {8,18}, {4,18}, {9,39}, {9,38}, {11,19}, {4,25}, {10,19}, {4,12}, {11,45}, {5,13}, {3,28}, {7,27}, {7,45}, {1,41}, {3,41}, {9,24}, {9,46}, {8,51}, {10,20}, {5,15}, {6,37}, {10,14}, {5,21}, {2,30}, {6,13}, {7,37}, {5,35}, {1,54}, {1,34}, {7,52}, {5,37}, {2,43}, {6,35}, {9,16}, {9,21}, {11,42}, {7,40}, {7,21}, {8,29}, {5,53}, {2,50}, {7,18}, {10,16} }; // ETB55.31 // Bipartite(20,35) Valencies [21,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 399607733956902912000000 EdgesBipt[55][31]:={ {13,21}, {6,52}, {15,33}, {7,48}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {11,49}, {9,32}, {6,25}, {5,38}, {16,51}, {19,26}, {11,25}, {5,43}, {2,55}, {8,51}, {3,26}, {8,26}, {1,49}, {1,40}, {16,22}, {17,42}, {15,44}, {11,43}, {14,50}, {15,54}, {2,35}, {17,33}, {3,35}, {10,33}, {8,21}, {16,55}, {11,53}, {2,49}, {3,23}, {10,39}, {3,21}, {14,45}, {16,37}, {19,37}, {20,37}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {20,52}, {2,46}, {13,43}, {14,29}, {10,48}, {16,21}, {19,21}, {13,40}, {14,44}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {10,47}, {20,38}, {2,34}, {19,31}, {2,25}, {4,24}, {16,42}, {18,32}, {4,30}, {12,46}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {20,24}, {5,41}, {8,52}, {20,49}, {12,26}, {13,30}, {7,27}, {19,22}, {11,39}, {7,33}, {12,31}, {12,40}, {19,48}, {20,29}, {1,24}, {20,39}, {19,52}, {13,55}, {16,25}, {1,29}, {19,42}, {13,51}, {6,46}, {18,39}, {13,26}, {17,47}, {9,47}, {4,49}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {14,32}, {2,36}, {8,49}, {13,41}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {1,43}, {12,49}, {8,42}, {18,26}, {4,22}, {5,54}, {18,36}, {6,51}, {3,38}, {19,46}, {3,43}, {15,28}, {5,28}, {2,39}, {9,46}, {14,35}, {7,32}, {12,24}, {19,38}, {3,31}, {19,47}, {3,51}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {14,34}, {3,36}, {19,23}, {14,54}, {4,32}, {2,44}, {1,30}, {19,27}, {6,36}, {1,55}, {18,51}, {3,30}, {3,55}, {13,48}, {9,51}, {2,24}, {11,23}, {2,51}, {10,38}, {15,34}, {11,33}, {18,22}, {13,25}, {14,39}, {11,48}, {8,47}, {8,24}, {8,41}, {9,38}, {9,26}, {13,36}, {20,22}, {4,45}, {12,55}, {13,53}, {15,23}, {12,41}, {9,22}, {18,54}, {20,54}, {11,44}, {4,47}, {13,45}, {3,25}, {11,34}, {17,55}, {17,28}, {7,35}, {12,30}, {6,30}, {7,50}, {11,24}, {9,31}, {10,44}, {10,29}, {15,53}, {1,25}, {13,50}, {13,31}, {5,39}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {20,44}, {19,41}, {8,34}, {14,52}, {15,46}, {17,30}, {10,22}, {20,47}, {4,50}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {17,38}, {12,29}, {6,31}, {15,24}, {17,52}, {9,52}, {12,25}, {11,54}, {16,26}, {10,52}, {14,37}, {1,44}, {13,38}, {15,49}, {10,54}, {19,53}, {18,31}, {1,48}, {14,40}, {9,41}, {16,31}, {16,45}, {3,41}, {15,39}, {4,29}, {1,54}, {7,52}, {6,37}, {8,32}, {10,28}, {5,31}, {17,22}, {17,25}, {20,48}, {4,44}, {2,54}, {7,40}, {2,41}, {12,50}, {5,23}, {20,32}, {2,26}, {3,53}, {17,50}, {18,41}, {14,55}, {18,21}, {9,21}, {14,47}, {8,29}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {16,36}, {1,45}, {11,30}, {3,50}, {19,33}, {9,28}, {2,21}, {4,27}, {19,43}, {7,55}, {16,46}, {5,24}, {15,29}, {18,24}, {18,52}, {2,31}, {11,45}, {1,33}, {18,27}, {20,28}, {20,53}, {12,36}, {3,45}, {16,27}, {12,44}, {5,26}, {7,47}, {4,42}, {5,29}, {16,50}, {4,25}, {3,28}, {14,30}, {12,39}, {20,27}, {18,49}, {14,49}, {20,33}, {1,53}, {15,48}, {14,24}, {5,51}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {17,40}, {20,23}, {12,34}, {8,44}, {19,36}, {6,42}, {4,35}, {19,32}, {13,33}, {15,51}, {14,25}, {15,21}, {5,49}, {20,34}, {1,50}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {17,53}, {3,40}, {13,23}, {17,27}, {2,40}, {8,54}, {6,21}, {17,45}, {17,37}, {13,28}, {1,28}, {16,52}, {9,27}, {7,38}, {15,36}, {10,43}, {15,31}, {6,55}, {7,43}, {11,55}, {19,51}, {5,44}, {12,54}, {17,23}, {10,23}, {9,53}, {4,52}, {15,26}, {9,43}, {8,39}, {14,22}, {9,42}, {5,36}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {6,35}, {17,32}, {11,50}, {17,43}, {6,50}, {18,42}, {16,32}, {12,21}, {18,34}, {12,51}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {18,37}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB55.32 // Bipartite(11,44) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1004309554491555840 EdgesBipt[55][32]:={ {6,48}, {2,44}, {8,48}, {11,17}, {11,53}, {2,24}, {5,17}, {10,24}, {11,20}, {9,28}, {2,33}, {6,16}, {11,36}, {2,46}, {5,34}, {4,24}, {8,12}, {4,26}, {3,40}, {10,37}, {4,30}, {11,25}, {8,30}, {2,23}, {5,38}, {7,55}, {7,38}, {8,28}, {9,55}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {7,44}, {1,40}, {10,26}, {4,19}, {9,44}, {7,22}, {2,19}, {8,52}, {1,19}, {3,35}, {9,43}, {8,39}, {1,21}, {11,41}, {7,51}, {11,14}, {7,36}, {8,25}, {2,41}, {9,53}, {2,28}, {1,30}, {5,32}, {8,15}, {11,50}, {2,42}, {10,15}, {10,53}, {6,22}, {3,18}, {11,28}, {10,30}, {2,45}, {6,47}, {3,34}, {11,38}, {3,46}, {10,48}, {6,31}, {1,38}, {2,34}, {9,48}, {4,22}, {8,19}, {9,29}, {10,38}, {1,18}, {3,14}, {1,55}, {9,32}, {5,50}, {9,26}, {1,44}, {4,41}, {8,41}, {8,47}, {11,49}, {2,52}, {10,52}, {5,43}, {8,14}, {7,46}, {8,45}, {7,39}, {2,39}, {3,12}, {10,41}, {7,49}, {7,13}, {2,53}, {7,25}, {11,31}, {2,35}, {1,22}, {6,12}, {1,51}, {6,55}, {4,47}, {4,33}, {5,23}, {4,21}, {9,54}, {10,29}, {3,20}, {10,31}, {6,49}, {3,51}, {2,13}, {9,42}, {2,20}, {4,52}, {9,50}, {10,40}, {1,29}, {7,50}, {8,17}, {3,32}, {11,21}, {4,35}, {7,16}, {6,33}, {1,12}, {8,36}, {1,23}, {6,44}, {7,17}, {11,30}, {5,24}, {9,37}, {4,48}, {5,46}, {5,49}, {1,45}, {5,48}, {10,42}, {4,55}, {9,20}, {4,15}, {4,13}, {7,14}, {9,51}, {4,54}, {10,46}, {4,43}, {1,33}, {10,13}, {3,29}, {6,23}, {1,43}, {4,46}, {8,37}, {5,28}, {8,26}, {10,51}, {1,52}, {9,22}, {11,54}, {6,15}, {2,17}, {4,36}, {7,47}, {5,12}, {9,40}, {5,54}, {11,52}, {6,27}, {1,49}, {11,39}, {6,26}, {8,40}, {3,23}, {8,23}, {3,21}, {7,29}, {6,14}, {5,39}, {7,28}, {4,37}, {6,42}, {3,53}, {10,35}, {11,16}, {6,36}, {8,34}, {9,18}, {3,24}, {11,27}, {6,45}, {10,27}, {2,22}, {1,16}, {4,14}, {8,50}, {11,32}, {9,17}, {10,18}, {6,25}, {10,49}, {6,38}, {2,31}, {9,33}, {6,34}, {11,47}, {5,27}, {5,26}, {8,18}, {3,42}, {9,39}, {11,19}, {4,25}, {10,19}, {5,13}, {7,27}, {1,41}, {5,45}, {7,24}, {3,31}, {3,54}, {2,12}, {8,51}, {10,20}, {2,55}, {5,15}, {6,37}, {7,33}, {3,47}, {6,20}, {7,35}, {11,43}, {5,21}, {2,30}, {6,53}, {9,15}, {5,35}, {1,54}, {1,34}, {9,31}, {5,37}, {3,36}, {9,21}, {11,42}, {7,40}, {4,44}, {8,29}, {4,32}, {2,50}, {7,18}, {10,16}, {5,16} }; // ETB55.33 // Bipartite(15,40) Valencies [24,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 59162962846411653120 EdgesBipt[55][33]:={ {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {5,38}, {5,22}, {10,18}, {9,17}, {2,55}, {12,22}, {3,26}, {8,26}, {1,40}, {11,43}, {14,50}, {2,35}, {8,40}, {3,35}, {15,27}, {11,53}, {2,49}, {10,39}, {3,20}, {1,21}, {14,45}, {6,48}, {5,32}, {15,41}, {4,37}, {4,40}, {14,29}, {10,48}, {13,40}, {2,33}, {11,17}, {10,42}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {2,34}, {2,25}, {4,43}, {2,52}, {15,32}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {8,46}, {5,41}, {8,52}, {7,41}, {13,30}, {12,42}, {10,26}, {7,33}, {12,31}, {3,52}, {1,24}, {13,24}, {12,23}, {5,37}, {13,20}, {13,55}, {13,42}, {9,35}, {6,18}, {15,19}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {4,49}, {12,52}, {6,24}, {2,29}, {13,16}, {1,38}, {10,51}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {9,20}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {15,28}, {6,17}, {5,28}, {14,46}, {2,39}, {9,46}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {6,27}, {7,53}, {3,36}, {8,48}, {7,19}, {2,44}, {1,30}, {13,18}, {8,50}, {11,21}, {4,53}, {10,16}, {3,30}, {3,55}, {13,48}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {10,36}, {14,33}, {2,51}, {15,37}, {10,38}, {14,23}, {10,46}, {11,33}, {9,55}, {13,25}, {14,39}, {11,48}, {8,24}, {9,26}, {8,45}, {13,36}, {1,41}, {2,23}, {4,45}, {12,55}, {1,51}, {10,19}, {12,41}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {3,25}, {11,34}, {7,35}, {2,43}, {5,52}, {6,30}, {4,33}, {7,34}, {11,24}, {10,31}, {5,19}, {10,29}, {15,52}, {13,22}, {13,50}, {4,17}, {9,16}, {9,30}, {5,39}, {3,32}, {14,27}, {8,34}, {9,25}, {15,46}, {10,22}, {4,50}, {7,23}, {12,45}, {12,29}, {6,31}, {12,25}, {11,54}, {10,52}, {3,42}, {14,43}, {3,22}, {14,37}, {1,44}, {13,38}, {15,49}, {7,49}, {1,48}, {14,40}, {6,23}, {15,17}, {7,39}, {4,36}, {15,39}, {4,29}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {2,54}, {2,41}, {12,43}, {14,55}, {10,21}, {7,29}, {14,47}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {13,32}, {14,26}, {11,30}, {3,50}, {3,34}, {2,21}, {4,27}, {7,55}, {2,22}, {11,47}, {15,29}, {4,46}, {2,31}, {14,19}, {1,33}, {3,54}, {3,45}, {2,53}, {5,26}, {12,44}, {5,29}, {12,53}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {5,47}, {12,39}, {6,54}, {7,51}, {14,49}, {15,47}, {11,31}, {1,53}, {15,48}, {5,51}, {13,34}, {11,41}, {7,25}, {9,50}, {7,22}, {1,34}, {15,42}, {13,35}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {4,35}, {15,51}, {14,20}, {14,25}, {15,21}, {5,49}, {13,54}, {1,50}, {11,37}, {11,28}, {5,18}, {5,16}, {1,23}, {8,55}, {11,20}, {10,27}, {15,18}, {5,17}, {3,40}, {15,16}, {8,35}, {8,54}, {6,21}, {15,22}, {9,45}, {4,26}, {1,28}, {13,28}, {9,27}, {5,42}, {12,32}, {15,36}, {15,31}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {12,54}, {9,53}, {15,26}, {9,43}, {14,53}, {4,19}, {14,17}, {5,36}, {10,32}, {13,46}, {4,39}, {12,35}, {11,50}, {12,19}, {13,52}, {6,50}, {1,37}, {8,25}, {2,42}, {2,32}, {12,21}, {6,33}, {12,51}, {3,46}, {5,48}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB55.34 // Bipartite(15,40) Valencies [24,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 45650434295070720 EdgesBipt[55][34]:={ {6,52}, {15,33}, {7,48}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {5,38}, {9,17}, {4,28}, {5,43}, {5,45}, {3,26}, {1,49}, {13,37}, {15,44}, {11,43}, {14,50}, {15,54}, {4,31}, {8,40}, {3,35}, {10,33}, {3,19}, {14,31}, {1,19}, {11,53}, {2,49}, {8,23}, {3,20}, {1,21}, {14,45}, {6,48}, {3,39}, {1,35}, {4,51}, {4,37}, {2,46}, {13,27}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {10,42}, {6,29}, {3,18}, {10,47}, {10,17}, {4,24}, {1,52}, {2,52}, {8,30}, {5,41}, {8,52}, {13,30}, {7,27}, {6,39}, {6,49}, {10,26}, {2,17}, {7,33}, {12,31}, {13,24}, {13,47}, {12,23}, {5,37}, {13,20}, {13,55}, {13,42}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {10,35}, {15,45}, {11,18}, {9,47}, {4,49}, {5,50}, {2,29}, {1,38}, {1,26}, {14,32}, {3,17}, {8,49}, {2,36}, {10,51}, {8,22}, {9,36}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {9,20}, {4,22}, {7,54}, {6,51}, {8,19}, {3,38}, {1,18}, {5,27}, {15,28}, {5,28}, {14,46}, {2,39}, {9,46}, {4,18}, {3,47}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {12,27}, {1,39}, {7,37}, {7,53}, {5,53}, {2,30}, {5,35}, {14,34}, {3,36}, {4,21}, {13,17}, {14,54}, {4,32}, {13,18}, {8,50}, {11,21}, {12,47}, {1,55}, {11,36}, {10,16}, {3,30}, {3,55}, {13,48}, {9,51}, {3,16}, {11,23}, {11,16}, {10,36}, {10,46}, {15,34}, {11,33}, {13,25}, {11,48}, {10,55}, {8,24}, {4,41}, {9,26}, {14,21}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {12,55}, {1,51}, {9,54}, {15,23}, {12,41}, {9,19}, {4,47}, {11,44}, {13,45}, {3,25}, {11,34}, {11,46}, {2,43}, {2,27}, {6,30}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {13,22}, {15,53}, {1,25}, {13,50}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {8,53}, {7,28}, {2,16}, {8,34}, {14,52}, {15,46}, {10,22}, {5,40}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {15,24}, {12,25}, {11,54}, {10,52}, {1,16}, {13,38}, {15,49}, {1,48}, {14,40}, {9,41}, {6,23}, {15,39}, {4,29}, {9,44}, {1,32}, {7,52}, {6,43}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {5,23}, {12,43}, {5,20}, {2,26}, {14,55}, {10,21}, {9,21}, {8,29}, {14,16}, {13,44}, {3,48}, {13,32}, {14,26}, {1,45}, {14,51}, {11,30}, {3,50}, {4,27}, {2,22}, {15,29}, {8,43}, {3,45}, {2,53}, {12,44}, {7,47}, {2,37}, {4,42}, {12,53}, {10,41}, {3,28}, {14,30}, {12,33}, {8,33}, {12,39}, {5,47}, {15,55}, {11,31}, {15,48}, {14,24}, {5,51}, {13,34}, {11,41}, {9,50}, {7,22}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {14,20}, {14,25}, {13,54}, {7,26}, {7,18}, {11,28}, {2,47}, {7,16}, {5,18}, {8,55}, {11,20}, {5,55}, {14,42}, {10,27}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {10,45}, {8,35}, {2,40}, {8,54}, {6,21}, {14,41}, {1,28}, {13,28}, {3,27}, {9,27}, {7,38}, {15,36}, {10,43}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {8,20}, {5,25}, {12,54}, {10,23}, {4,52}, {15,26}, {1,46}, {4,19}, {8,39}, {3,37}, {14,22}, {9,34}, {10,32}, {15,43}, {4,39}, {12,35}, {7,36}, {11,50}, {12,19}, {13,52}, {6,50}, {8,25}, {2,42}, {4,48}, {2,32}, {12,21}, {6,33}, {12,51}, {11,26}, {3,46}, {5,48}, {5,33}, {15,25}, {5,30}, {4,54}, {11,38}, {9,37}, {6,40} }; // ETB55.35 // Bipartite(25,30) Valencies [24,20] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 12000 EdgesBipt[55][35]:={ {15,28}, {13,40}, {24,33}, {14,48}, {4,46}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {19,41}, {25,42}, {22,37}, {7,47}, {22,53}, {2,26}, {20,50}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {6,48}, {11,52}, {11,34}, {13,27}, {15,54}, {10,54}, {2,39}, {7,53}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {16,54}, {5,43}, {22,51}, {12,32}, {10,27}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {2,52}, {23,53}, {12,27}, {6,34}, {4,38}, {11,39}, {7,54}, {16,33}, {11,27}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {24,36}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {23,49}, {20,28}, {18,50}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {12,38}, {11,44}, {13,33}, {18,35}, {1,26}, {14,51}, {3,51}, {18,42}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {21,55}, {25,27}, {22,47}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {20,43}, {1,27}, {4,44}, {5,36}, {9,26}, {12,39}, {24,54}, {21,36}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {15,55}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {25,46}, {20,49}, {20,52}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {25,33}, {14,32}, {9,37}, {17,26}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {8,34}, {23,46}, {4,33}, {18,52}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {17,46}, {9,54}, {24,50}, {7,29}, {11,53}, {12,49}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {7,43}, {20,31}, {8,33}, {11,45}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {17,36}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {10,36}, {16,29}, {15,42}, {2,40}, {9,43}, {17,50}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {23,48}, {15,29}, {14,41}, {5,34}, {1,30}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {14,46}, {9,30}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {16,41}, {13,28}, {17,44}, {2,33}, {24,47}, {9,47}, {4,27}, {18,36}, {6,55}, {7,27}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {19,33}, {3,34}, {18,39}, {3,38}, {2,43}, {25,48}, {14,34}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {8,32}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {21,33}, {6,54}, {1,46}, {23,55}, {10,34}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {3,52}, {20,51}, {2,53}, {19,42}, {19,50}, {13,55}, {12,26}, {18,46}, {23,51}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {12,51}, {20,34}, {7,44}, {25,34}, {17,52}, {11,46}, {3,41}, {15,39}, {17,49}, {10,39}, {13,34}, {22,50}, {15,49}, {16,39}, {1,38}, {25,43}, {7,41}, {2,29}, {14,44}, {19,27}, {25,50}, {25,54}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {14,42}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {6,26}, {11,55}, {19,45}, {16,44}, {4,50}, {23,31}, {2,50}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {15,52}, {16,50}, {24,38}, {19,48}, {9,36}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {3,33}, {23,47}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {22,43}, {16,49}, {4,53}, {17,30}, {25,55}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {13,45}, {4,37}, {12,29}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB55.36 // Bipartite(25,30) Valencies [24,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 577763309046988800000000000 EdgesBipt[55][36]:={ {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {20,26}, {3,29}, {16,28}, {4,26}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {6,48}, {11,52}, {11,34}, {3,55}, {2,39}, {7,28}, {18,38}, {7,53}, {15,50}, {20,27}, {1,32}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {9,49}, {8,26}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {11,27}, {18,28}, {8,44}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {15,45}, {25,32}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {24,36}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {23,49}, {20,28}, {18,50}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {25,41}, {2,37}, {9,50}, {25,45}, {7,30}, {5,26}, {6,31}, {8,40}, {1,31}, {11,48}, {17,32}, {5,50}, {21,44}, {23,33}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {18,53}, {13,54}, {8,39}, {22,32}, {7,34}, {22,45}, {9,55}, {15,43}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {14,51}, {3,51}, {5,46}, {18,55}, {16,42}, {12,44}, {24,30}, {8,35}, {11,38}, {5,27}, {24,44}, {9,31}, {5,33}, {4,39}, {25,27}, {22,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {18,26}, {4,45}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {9,26}, {12,39}, {24,54}, {21,36}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {25,46}, {20,52}, {20,40}, {21,51}, {5,28}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {17,53}, {24,49}, {25,47}, {11,41}, {19,44}, {24,55}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {9,54}, {6,43}, {24,50}, {23,26}, {12,47}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {17,28}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {20,31}, {8,33}, {10,28}, {13,50}, {9,44}, {9,42}, {13,35}, {8,55}, {16,37}, {1,54}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {20,38}, {14,41}, {4,29}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {6,47}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,30}, {24,42}, {18,30}, {10,26}, {8,29}, {1,48}, {23,41}, {8,51}, {25,40}, {19,36}, {9,34}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {19,55}, {1,47}, {6,51}, {20,35}, {15,38}, {7,38}, {14,30}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {21,47}, {7,48}, {14,52}, {11,28}, {13,39}, {11,43}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {24,46}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {22,54}, {7,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {10,33}, {17,49}, {19,47}, {13,34}, {22,50}, {16,39}, {1,38}, {5,37}, {25,43}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {18,45}, {3,39}, {10,41}, {6,26}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {4,50}, {23,31}, {2,50}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {25,31}, {14,45}, {5,35}, {3,45}, {21,48}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,35}, {7,50}, {12,43}, {19,34}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {22,42}, {22,44}, {13,49}, {21,39}, {3,33}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {12,37}, {17,30}, {25,55}, {24,41}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {4,36}, {6,29} }; // ETB55.37 // Bipartite(25,30) Valencies [24,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1741425868800 EdgesBipt[55][37]:={ {3,42}, {7,49}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {20,26}, {4,26}, {25,42}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {14,49}, {5,32}, {22,49}, {5,52}, {8,31}, {22,55}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {3,55}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {18,38}, {7,53}, {15,50}, {20,27}, {1,32}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {16,54}, {5,43}, {22,51}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {20,42}, {2,38}, {2,52}, {23,45}, {23,53}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {19,38}, {7,26}, {18,28}, {8,44}, {25,49}, {13,51}, {4,34}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {23,34}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {25,28}, {8,38}, {18,29}, {19,30}, {22,29}, {11,29}, {1,53}, {5,47}, {5,55}, {16,51}, {23,49}, {18,50}, {12,35}, {12,48}, {11,36}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {7,51}, {8,39}, {20,54}, {22,45}, {15,43}, {18,27}, {2,36}, {12,38}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {14,51}, {3,51}, {18,42}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {21,55}, {25,27}, {22,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {22,41}, {18,26}, {22,26}, {2,28}, {1,27}, {4,44}, {5,36}, {24,54}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {21,37}, {25,38}, {1,29}, {2,34}, {15,55}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {23,39}, {10,43}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {16,55}, {25,33}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {25,47}, {11,41}, {22,46}, {24,55}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {3,36}, {17,46}, {7,42}, {9,54}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {11,53}, {2,51}, {6,37}, {12,28}, {3,37}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {10,46}, {7,43}, {20,31}, {8,33}, {11,45}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {17,36}, {3,28}, {14,28}, {12,45}, {15,36}, {10,36}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {25,52}, {16,46}, {15,30}, {24,34}, {4,40}, {16,36}, {12,54}, {1,39}, {6,45}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {2,42}, {10,52}, {24,51}, {22,48}, {21,43}, {3,53}, {15,29}, {14,41}, {4,29}, {5,34}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {10,53}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {16,27}, {23,44}, {9,30}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {10,26}, {8,29}, {1,48}, {15,44}, {8,51}, {25,40}, {19,36}, {9,34}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {24,47}, {9,47}, {4,27}, {18,36}, {6,55}, {7,27}, {19,39}, {15,35}, {21,53}, {13,41}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {14,30}, {7,38}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {4,51}, {24,27}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {22,54}, {12,51}, {20,34}, {25,34}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {22,50}, {15,49}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {25,54}, {1,36}, {18,40}, {13,30}, {24,32}, {14,39}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {10,41}, {6,26}, {12,34}, {11,55}, {23,35}, {15,41}, {19,45}, {16,44}, {4,50}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {8,46}, {20,41}, {15,32}, {14,38}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {13,47}, {23,37}, {23,42}, {15,53}, {2,54}, {20,46}, {23,27}, {12,36}, {22,44}, {3,33}, {23,47}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {4,53}, {12,37}, {17,30}, {25,55}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {20,45}, {13,45}, {4,37}, {10,47}, {2,35}, {17,33}, {10,32}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.38 // Bipartite(25,30) Valencies [24,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19660800 EdgesBipt[55][38]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {19,41}, {25,42}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {11,52}, {3,55}, {13,27}, {15,54}, {2,39}, {7,28}, {18,38}, {7,53}, {15,50}, {20,27}, {1,32}, {4,28}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {9,49}, {8,26}, {10,29}, {24,52}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {13,51}, {4,34}, {13,29}, {22,28}, {18,37}, {25,29}, {15,45}, {10,42}, {14,40}, {9,41}, {21,46}, {17,45}, {14,33}, {11,35}, {3,27}, {11,31}, {11,37}, {25,28}, {18,29}, {25,51}, {19,30}, {11,29}, {5,47}, {11,47}, {20,28}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {18,54}, {25,41}, {17,51}, {2,37}, {14,43}, {25,45}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {22,27}, {20,32}, {1,26}, {18,31}, {9,27}, {14,51}, {3,51}, {18,42}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {20,39}, {5,33}, {4,39}, {21,55}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {19,35}, {23,52}, {16,34}, {8,49}, {10,48}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {20,43}, {4,44}, {9,26}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {25,46}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {16,55}, {25,33}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {19,44}, {22,46}, {24,55}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {18,52}, {15,40}, {21,34}, {1,44}, {10,31}, {22,38}, {21,45}, {19,52}, {1,28}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {1,35}, {23,32}, {7,36}, {13,26}, {10,46}, {22,33}, {7,43}, {8,33}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {8,55}, {1,54}, {13,32}, {17,36}, {18,44}, {21,29}, {23,28}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {11,51}, {6,53}, {25,52}, {16,46}, {15,30}, {24,34}, {23,38}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {21,27}, {10,37}, {25,36}, {2,42}, {10,52}, {15,37}, {7,55}, {22,48}, {4,42}, {23,48}, {3,53}, {15,29}, {20,38}, {4,29}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {9,40}, {25,30}, {14,31}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {19,43}, {16,27}, {14,46}, {9,30}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {19,36}, {9,34}, {16,41}, {13,28}, {17,44}, {2,33}, {6,32}, {10,35}, {24,47}, {9,47}, {4,27}, {6,55}, {7,27}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {24,28}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {24,29}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {24,26}, {20,34}, {7,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {22,50}, {15,49}, {16,39}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {14,44}, {25,50}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {6,26}, {12,34}, {11,55}, {23,35}, {19,45}, {16,44}, {4,50}, {23,31}, {17,41}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {19,48}, {9,36}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {6,38}, {8,48}, {11,40}, {13,42}, {25,31}, {14,45}, {5,35}, {21,48}, {4,43}, {1,51}, {24,45}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {15,53}, {2,54}, {21,49}, {3,40}, {22,42}, {3,33}, {23,47}, {20,55}, {18,41}, {23,43}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {25,55}, {24,41}, {12,31}, {20,36}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {25,37}, {12,55}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {2,31} }; // ETB55.39 // Bipartite(10,45) Valencies [27,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 755085986637477121622016000000 EdgesBipt[55][39]:={ {6,52}, {7,48}, {10,37}, {9,32}, {6,25}, {5,38}, {9,17}, {10,18}, {5,43}, {2,55}, {8,51}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {6,15}, {3,35}, {10,33}, {8,21}, {1,19}, {2,49}, {3,23}, {10,39}, {3,20}, {3,21}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {10,48}, {6,32}, {10,42}, {9,11}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {9,33}, {8,12}, {7,45}, {8,46}, {8,37}, {5,41}, {8,52}, {1,13}, {7,27}, {7,33}, {1,24}, {2,15}, {1,29}, {6,46}, {9,47}, {4,49}, {2,29}, {5,34}, {1,38}, {2,36}, {8,49}, {7,15}, {8,22}, {9,36}, {1,43}, {8,42}, {4,22}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {3,43}, {6,17}, {5,28}, {2,39}, {9,46}, {10,12}, {7,32}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {3,36}, {6,12}, {4,32}, {2,44}, {1,30}, {6,36}, {8,17}, {1,55}, {3,30}, {3,55}, {9,51}, {3,16}, {2,24}, {2,51}, {10,38}, {6,16}, {7,12}, {8,24}, {8,47}, {8,41}, {9,38}, {9,26}, {5,14}, {10,13}, {4,45}, {10,19}, {9,22}, {4,47}, {3,25}, {7,35}, {6,30}, {7,50}, {5,19}, {9,31}, {10,44}, {10,29}, {1,25}, {2,20}, {9,16}, {4,17}, {5,39}, {9,12}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {10,22}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {10,52}, {1,44}, {4,14}, {10,54}, {4,15}, {1,48}, {9,41}, {3,41}, {4,29}, {1,54}, {7,52}, {6,37}, {8,32}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {2,26}, {3,53}, {9,21}, {8,29}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {2,21}, {4,27}, {7,55}, {5,24}, {8,11}, {2,31}, {1,33}, {3,45}, {5,26}, {3,11}, {7,47}, {4,42}, {5,29}, {4,25}, {3,28}, {4,12}, {8,14}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {8,44}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {7,18}, {5,18}, {5,16}, {1,23}, {10,24}, {10,27}, {10,34}, {3,40}, {7,17}, {2,40}, {8,54}, {6,21}, {1,28}, {7,20}, {9,27}, {7,38}, {10,43}, {6,55}, {7,43}, {4,20}, {5,44}, {5,13}, {10,23}, {9,53}, {4,52}, {9,43}, {4,19}, {8,39}, {7,13}, {9,42}, {5,36}, {10,14}, {10,32}, {4,39}, {6,35}, {6,50}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {4,54}, {10,49}, {9,37}, {6,40} }; // ETB55.40 // Bipartite(10,45) Valencies [27,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338533188894720 EdgesBipt[55][40]:={ {6,52}, {7,48}, {10,37}, {9,32}, {5,38}, {9,17}, {10,18}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {1,49}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {10,33}, {8,21}, {5,15}, {1,19}, {2,49}, {3,23}, {10,39}, {1,21}, {3,21}, {1,35}, {8,31}, {4,40}, {4,37}, {10,48}, {6,14}, {10,11}, {1,12}, {6,29}, {1,20}, {8,16}, {9,18}, {2,34}, {4,43}, {2,52}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {8,46}, {4,13}, {8,37}, {7,11}, {8,52}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {10,26}, {2,17}, {7,33}, {10,20}, {1,24}, {2,15}, {1,36}, {6,46}, {10,35}, {6,44}, {9,47}, {4,49}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {4,22}, {7,54}, {5,54}, {6,51}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {8,18}, {4,18}, {3,47}, {1,42}, {7,32}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {7,53}, {5,53}, {2,30}, {3,36}, {8,48}, {2,44}, {2,13}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {10,38}, {6,16}, {9,55}, {10,55}, {7,12}, {8,47}, {4,41}, {9,38}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {1,51}, {9,54}, {9,22}, {4,11}, {9,19}, {3,44}, {3,25}, {7,35}, {2,43}, {2,27}, {6,30}, {2,12}, {7,50}, {4,33}, {5,19}, {1,25}, {6,19}, {2,20}, {5,39}, {3,32}, {6,45}, {6,11}, {9,25}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {9,52}, {10,52}, {4,14}, {10,54}, {7,39}, {3,41}, {4,29}, {9,44}, {1,32}, {1,54}, {6,37}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {5,23}, {3,53}, {10,40}, {9,21}, {7,29}, {2,28}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {10,50}, {10,15}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,45}, {2,53}, {3,14}, {3,11}, {7,47}, {2,37}, {4,42}, {10,41}, {4,25}, {3,28}, {7,31}, {8,33}, {4,12}, {6,54}, {3,15}, {5,51}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {5,18}, {8,55}, {10,24}, {3,40}, {7,17}, {10,45}, {8,35}, {6,21}, {4,26}, {1,28}, {7,20}, {7,38}, {5,42}, {2,38}, {10,43}, {7,44}, {9,49}, {9,40}, {8,20}, {1,27}, {5,13}, {10,23}, {9,53}, {4,52}, {4,19}, {9,14}, {5,36}, {9,34}, {6,35}, {6,50}, {8,25}, {2,42}, {4,48}, {2,32}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37} }; // ETB55.41 // Bipartite(20,35) Valencies [28,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3107349739248877043712000000 EdgesBipt[55][41]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {1,49}, {11,39}, {7,54}, {16,33}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {17,25}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {1,31}, {11,48}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {8,39}, {7,34}, {9,55}, {15,43}, {12,38}, {11,44}, {13,33}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {14,51}, {3,51}, {5,46}, {19,21}, {18,55}, {16,42}, {12,44}, {8,35}, {11,38}, {5,27}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {8,21}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {20,52}, {20,40}, {19,24}, {5,28}, {5,51}, {8,30}, {4,21}, {14,32}, {9,37}, {17,53}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {14,36}, {7,42}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {17,28}, {5,21}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {8,55}, {16,37}, {1,54}, {2,25}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {16,36}, {12,54}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {4,42}, {3,53}, {20,38}, {14,41}, {4,29}, {8,25}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {6,47}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {1,47}, {6,51}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {7,48}, {14,52}, {11,28}, {13,39}, {11,43}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {18,46}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {17,52}, {11,46}, {4,31}, {11,54}, 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ETB55.42 // Bipartite(27,28) Valencies [28,27] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3319889381431113865517677688157339126513795072000000000000 EdgesBipt[55][42]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {3,55}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, 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{16,32}, {9,32}, {16,53}, {27,28}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {27,35}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {25,55}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.43 // Bipartite(26,29) Valencies [29,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3565807113388974151852320479872697580329631744000000000000 EdgesBipt[55][43]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {26,27}, {11,52}, {11,34}, {3,55}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {11,27}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, 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{26,40}, {18,30}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {24,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {26,38}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {25,54}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {25,35}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {25,55}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.44 // Bipartite(5,50) Valencies [30,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 74300837068800000000000 EdgesBipt[55][44]:={ {4,35}, {5,32}, {3,15}, {1,43}, {1,11}, {5,52}, {2,22}, {4,55}, {3,38}, {5,42}, {3,46}, {1,31}, {4,27}, {2,11}, {1,40}, {3,54}, {4,40}, {4,16}, {4,49}, {3,32}, {1,38}, {5,41}, {2,33}, {1,44}, {2,55}, {3,30}, {3,50}, {5,7}, {4,6}, {3,45}, {3,10}, {3,34}, {2,19}, {2,15}, {4,26}, {5,26}, {5,9}, {3,55}, {5,21}, {2,29}, {3,48}, {5,6}, {5,37}, {3,18}, {5,49}, {1,34}, {2,14}, {4,37}, {4,20}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {4,7}, {4,46}, {4,39}, {1,17}, {2,32}, {3,40}, {4,33}, {1,50}, {2,13}, {3,14}, {4,53}, {5,51}, {4,29}, {3,22}, {4,43}, {5,19}, {4,45}, {5,29}, {2,42}, {2,34}, {4,30}, {4,36}, {4,17}, {2,35}, {5,28}, {4,15}, {2,9}, {4,25}, {2,53}, {1,53}, {2,44}, {2,24}, {3,42}, {5,22}, {3,52}, {5,38}, {2,43}, {3,35}, {1,23}, {5,46}, {2,21}, {1,54}, {2,54}, {5,27}, {1,7}, {5,8}, {2,39}, {2,12}, {5,47}, {3,28}, {3,26}, {5,36}, {3,24}, {5,17}, {5,31}, {3,12}, {2,49}, {2,51}, {5,48}, {1,14}, {1,51}, {1,41}, {3,44}, {1,37}, {1,20}, {1,27}, {5,11}, {3,16}, {1,13}, {3,25}, {3,8}, {3,20}, {4,50}, {1,33}, {3,6}, {2,25}, {5,12}, {1,28}, {3,36}, {4,9}, {5,18}, {1,47}, {4,47}, {4,23}, {1,8}, {1,30}, {5,16}, {5,39}, {4,13}, {1,21}, {1,18}, {1,48}, {4,19}, {4,10}, {1,24}, {2,45} }; // ETB55.45 // Bipartite(22,33) Valencies [30,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29658516531078758400 EdgesBipt[55][45]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {22,37}, {14,29}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {9,49}, {8,26}, {10,29}, {15,33}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,37}, {8,38}, {18,29}, {22,29}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {16,42}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {21,55}, {6,24}, {22,47}, {8,47}, {16,43}, {10,50}, {2,44}, {17,48}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {15,55}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {3,36}, {20,23}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {12,49}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {8,55}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {10,36}, {16,29}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {16,36}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {21,23}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {4,49}, {14,26}, {18,23}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {16,27}, {19,43}, {9,30}, {5,40}, {16,31}, {22,36}, {22,30}, {18,30}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {6,55}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {14,30}, {8,32}, {22,39}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {22,23}, {4,51}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {1,45}, {10,30}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {22,54}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {20,24}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,38}, {10,44}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,26}, {20,47}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {20,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {16,24}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {5,54}, {6,29}, {2,31} }; // ETB55.46 // Bipartite(25,30) Valencies [30,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4114392823141124021368062092160804900380344320000000000000 EdgesBipt[55][46]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {19,54}, {1,55}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {25,41}, {2,37}, {17,51}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {21,55}, {25,27}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, 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{21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {25,55}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.47 // Bipartite(24,31) Valencies [31,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5101847100694993786496396994279398076471626956800000000000 EdgesBipt[55][47]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, 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{16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.48 // Bipartite(15,40) Valencies [32,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 99435191655964065398784000000 EdgesBipt[55][48]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {4,46}, {10,17}, {3,29}, {4,26}, {14,29}, {7,47}, {2,20}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {14,47}, {8,31}, {12,42}, {7,24}, {15,16}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {15,33}, {7,17}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {1,49}, {11,39}, {7,54}, {11,27}, {8,44}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {11,31}, {11,37}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {10,51}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {1,31}, {11,48}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {8,39}, {7,34}, {9,55}, {15,43}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {12,33}, {5,38}, {1,37}, {14,50}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {12,19}, {14,35}, {15,27}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {14,36}, {7,42}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {5,21}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {11,51}, {6,53}, {15,30}, {3,19}, {4,40}, {12,54}, {1,39}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {14,41}, {4,29}, {8,25}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {4,22}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {15,25}, {6,22}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {8,16}, {14,30}, {7,38}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {7,48}, {14,52}, {11,28}, {13,39}, {11,43}, {11,17}, {2,53}, {15,18}, {13,55}, {4,16}, {10,30}, {6,18}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {4,31}, {11,54}, {3,41}, {10,33}, {13,34}, {1,38}, {5,37}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {3,39}, {10,41}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {2,50}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {6,38}, {8,48}, {2,17}, {14,45}, {5,35}, {3,45}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {12,43}, {1,21}, {6,21}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {15,26}, {2,18}, {12,37}, {1,16}, {2,19}, {7,33}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {13,16}, {8,53}, {6,41}, {4,36}, {6,29} }; // ETB55.49 // Bipartite(23,32) Valencies [32,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6802462800926658381995195992372530768628835942400000000000 EdgesBipt[55][49]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {15,24}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {15,34}, {12,44}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {21,55}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {23,26}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {23,38}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {7,55}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {17,31}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {22,39}, {17,24}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {23,51}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {22,54}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {23,25}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.50 // Bipartite(22,33) Valencies [33,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9760055323068683765471368162969283276728329830400000000000 EdgesBipt[55][50]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {21,55}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {7,55}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {21,54}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {22,39}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {22,23}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {22,54}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {22,50}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.51 // Bipartite(21,34) Valencies [34,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15083721862924329455728478070043437791307418828800000000000 EdgesBipt[55][51]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {21,55}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {21,22}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {21,54}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.52 // Bipartite(20,35) Valencies [35,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 25139536438207215759547463450072396318845698048000000000000 EdgesBipt[55][52]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,21}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {20,55}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.53 // Bipartite(10,45) Valencies [36,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3628800 EdgesBipt[55][53]:={ {6,52}, {7,48}, {6,38}, {10,37}, {6,25}, {5,38}, {5,22}, {9,17}, {4,28}, {2,55}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {8,21}, {10,33}, {3,19}, {1,19}, {2,49}, {3,23}, {10,39}, {3,20}, {1,21}, {3,21}, {3,39}, {1,35}, {4,51}, {7,30}, {4,37}, {2,46}, {6,14}, {10,48}, {6,32}, {4,38}, {3,49}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {4,24}, {1,52}, {4,30}, {8,13}, {8,30}, {8,12}, {4,16}, {8,46}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {7,27}, {6,49}, {2,17}, {10,26}, {7,33}, {3,52}, {10,20}, {1,24}, {2,48}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {10,35}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,26}, {3,17}, {8,49}, {2,36}, {10,51}, {7,15}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {4,22}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {7,37}, {5,12}, {6,27}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {2,44}, {2,13}, {8,15}, {8,17}, {1,55}, {4,53}, {10,16}, {3,30}, {9,51}, {3,16}, {2,24}, {10,36}, {2,51}, {10,38}, {6,16}, {9,55}, {10,55}, {7,12}, {8,24}, {8,47}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,54}, {10,19}, {9,22}, {4,11}, {4,47}, {2,43}, {5,52}, {6,30}, {2,12}, {7,50}, {4,33}, {5,19}, {10,31}, {10,44}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {8,53}, {9,12}, {3,32}, {7,28}, {6,45}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {9,52}, {1,16}, {10,52}, {3,22}, {4,14}, {10,54}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {10,15}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {2,22}, {8,11}, {4,46}, {8,43}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {5,26}, {7,47}, {4,42}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {6,54}, {8,14}, {7,51}, {1,53}, {3,15}, {7,25}, {9,50}, {7,22}, {1,14}, {1,34}, {7,42}, {2,50}, {9,15}, {10,53}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {7,18}, {5,18}, {5,16}, {1,23}, {8,55}, {5,55}, {10,24}, {10,27}, {7,17}, {8,35}, {10,45}, {2,40}, {8,54}, {9,45}, {4,26}, {3,27}, {7,20}, {9,27}, {5,42}, {2,38}, {10,43}, {6,53}, {7,44}, {8,28}, {7,43}, {9,40}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {3,12}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {8,25}, {2,42}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB55.54 // Bipartite(10,45) Valencies [36,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24162751572399267891904512000000 EdgesBipt[55][54]:={ {6,52}, {7,48}, {6,38}, {10,37}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {5,43}, {2,55}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {2,35}, {4,31}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {7,30}, {8,31}, {4,40}, {4,37}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {3,49}, {1,12}, {10,42}, {6,29}, {9,11}, {3,18}, {10,47}, {8,16}, {2,34}, {10,17}, {2,25}, {4,24}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {1,17}, {4,16}, {7,45}, {8,46}, {5,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {1,38}, {1,26}, {8,49}, {10,51}, {7,15}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {9,20}, {4,22}, {7,54}, {6,51}, {8,19}, {3,38}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {8,18}, {9,46}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {2,13}, {8,50}, {8,15}, {6,36}, {10,16}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {9,55}, {10,55}, {7,12}, {8,24}, {4,41}, {8,41}, {9,26}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {7,50}, {2,12}, {1,22}, {7,34}, {9,31}, {10,31}, {6,13}, {6,19}, {2,20}, {4,17}, {9,16}, {9,30}, {8,53}, {9,12}, {7,28}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {9,52}, {1,16}, {10,52}, {1,44}, {4,14}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {4,44}, {2,54}, {7,40}, {5,23}, {5,20}, {3,53}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {8,36}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {10,50}, {10,15}, {3,50}, {3,34}, {1,11}, {4,27}, {7,55}, {2,22}, {8,11}, {4,46}, {8,43}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,25}, {10,41}, {3,28}, {8,33}, {5,47}, {4,12}, {6,54}, {8,14}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {10,53}, {8,44}, {6,28}, {6,42}, {4,35}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {8,55}, {5,55}, {10,27}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,52}, {1,46}, {4,19}, {8,39}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,32}, {4,39}, {1,37}, {8,25}, {2,42}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {9,37} }; // ETB55.55 // Bipartite(19,36) Valencies [36,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 45251165588772988367185434210130313373922256486400000000000 EdgesBipt[55][55]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {1,45}, {10,30}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {11,55}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.56 // Bipartite(18,37) Valencies [37,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 88120690883400029978203213988148504991322288947200000000000 EdgesBipt[55][56]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, 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{17,47}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.57 // Bipartite(17,38) Valencies [38,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 186032569642733396620651229530535732759458165555200000000000 EdgesBipt[55][57]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, 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{1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.58 // Bipartite(16,39) Valencies [39,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 426780600945094262835611644217111386918756968038400000000000 EdgesBipt[55][58]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, 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{2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.59 // Bipartite(5,50) Valencies [40,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75508598663747712162201600000000000 EdgesBipt[55][59]:={ {2,44}, {1,11}, {3,33}, {2,24}, {5,17}, {2,33}, {4,27}, {4,24}, {4,26}, {3,8}, {3,40}, {4,16}, {4,30}, {4,50}, {2,23}, {1,13}, {5,55}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {1,21}, {2,9}, {2,28}, {2,14}, {5,32}, {2,54}, {2,42}, {3,18}, {2,45}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {5,11}, {1,44}, {4,41}, {2,10}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {3,39}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {5,7}, {5,46}, {1,9}, {5,48}, {4,55}, {4,15}, {1,28}, {3,11}, {3,50}, {4,7}, {4,54}, {1,33}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,46}, {5,51}, {1,53}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {3,30}, {5,33}, {4,51}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {4,49}, {2,40}, {3,55}, {5,10}, {5,27}, {5,26}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {5,15}, {2,30}, {5,21}, {2,18}, {1,54}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB55.60 // Bipartite(11,44) Valencies [40,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60740641855649297203200 EdgesBipt[55][60]:={ {6,52}, {7,48}, {6,38}, {11,40}, {10,37}, {11,49}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {11,25}, {5,43}, {2,55}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {8,40}, {11,15}, {8,21}, {10,33}, {3,19}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {11,14}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {11,35}, {1,12}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {5,41}, {7,41}, {1,13}, {11,39}, {6,49}, {2,17}, {10,26}, {7,33}, {3,52}, {10,20}, {1,24}, {2,48}, {2,15}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,39}, {11,51}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {11,22}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {11,21}, {6,36}, {8,17}, {4,53}, {10,16}, {11,36}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {11,23}, {10,36}, {11,16}, {2,51}, {10,38}, {6,16}, {10,46}, {11,33}, {9,55}, {11,48}, {10,55}, {7,12}, {8,24}, {8,47}, {4,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {11,52}, {1,41}, {10,13}, {4,45}, {1,51}, {9,54}, {10,19}, {9,22}, {3,44}, {9,19}, {11,44}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {7,34}, {11,24}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {9,52}, {11,54}, {1,16}, {3,42}, {10,52}, {3,22}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {8,27}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {1,45}, {10,50}, {10,15}, {3,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {11,45}, {3,54}, {3,45}, {2,53}, {3,14}, {7,47}, {2,37}, {4,42}, {5,29}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {5,47}, {4,12}, {6,54}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {10,53}, {8,44}, {6,42}, {4,35}, {1,15}, {5,49}, {11,12}, {7,26}, {1,50}, {7,18}, {11,37}, {2,47}, {11,28}, {5,18}, {5,16}, {1,23}, {8,55}, {5,55}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {2,38}, {6,55}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {11,55}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {4,39}, {7,36}, {6,35}, {11,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {11,26}, {9,48}, {5,33}, {5,30}, {4,54}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB55.61 // Bipartite(15,40) Valencies [40,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1066951502362735657089029110542778467296892420096000000000000 EdgesBipt[55][61]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.62 // Bipartite(14,41) Valencies [41,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2916334106458144129376679568816927810611505948262400000000000 EdgesBipt[55][62]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {14,46}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {11,54}, {3,41}, {10,33}, {10,39}, {13,34}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.63 // Bipartite(13,42) Valencies [42,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8749002319374432388130038706450783431834517844787200000000000 EdgesBipt[55][63]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {9,41}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.64 // Bipartite(12,43) Valencies [43,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 28939007671776968668430128029029514428375712871219200000000000 EdgesBipt[55][64]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {11,31}, {7,13}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.65 // Bipartite(11,44) Valencies [44,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 106109694796515551784243802773108219570710947194470400000000000 EdgesBipt[55][65]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {3,25}, {4,12}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {11,14}, {9,48}, {7,12}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {10,15}, {10,49}, {6,41}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB55.66 // Bipartite(10,45) Valencies [45,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 434085115076654530026451920435442716425635693068288000000000000 EdgesBipt[55][66]:={ {6,52}, {7,48}, {6,38}, {10,37}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {4,28}, {5,43}, {2,55}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {3,52}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {10,12}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {10,36}, {2,51}, {10,38}, {6,16}, {10,46}, {9,55}, {10,55}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {9,54}, {10,19}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {6,31}, {9,52}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {10,54}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {10,15}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {6,54}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {10,53}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {10,43}, {6,53}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {4,54}, {10,49}, {9,37}, {6,40} }; // ETB55.67 // Bipartite(9,46) Valencies [46,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1996791529352610838121678834003036495557924188114124800000000000 EdgesBipt[55][67]:={ {6,52}, {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {4,28}, {5,43}, {2,55}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {9,55}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {4,54}, {9,37}, {6,40} }; // ETB55.68 // Bipartite(8,47) Valencies [47,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10427689097730301043524322799793635032358048537929318400000000000 EdgesBipt[55][68]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {4,28}, {5,43}, {2,55}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {6,40} }; // ETB55.69 // Bipartite(7,48) Valencies [48,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 62566134586381806261145936798761810194148291227575910400000000000 EdgesBipt[55][69]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {2,55}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {6,40} }; // ETB55.70 // Bipartite(6,49) Valencies [49,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 437962942104672643828021557591332671359038038593031372800000000000 EdgesBipt[55][70]:={ {6,52}, {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {3,8}, {4,28}, {5,43}, {2,55}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {6,17}, {5,28}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {6,22}, {4,34}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {6,37}, {6,43}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {2,31}, {1,33}, {3,54}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {1,8}, {4,12}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {6,53}, {6,55}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {6,40} }; // ETB55.71 // Bipartite(5,50) Valencies [50,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3649691184205605365233512979927772261325316988275261440000000000000 EdgesBipt[55][71]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {2,46}, {4,27}, {5,34}, {4,24}, {3,22}, {4,26}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {4,30}, {4,50}, {2,23}, {1,13}, {5,55}, {2,51}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {4,55}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {5,54}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {5,51}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {1,54}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB55.72 // Bipartite(4,51) Valencies [51,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37226850078897174725381832395263277065518233280407666688000000000000 EdgesBipt[55][72]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {4,30}, {4,50}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,55}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {2,18}, {1,54}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB55.73 // Bipartite(3,52) Valencies [52,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 483949051025663271429963821138422601851737032645299666944000000000000 EdgesBipt[55][73]:={ {1,15}, {3,15}, {1,43}, {2,38}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {3,53}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {2,55}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {1,55}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,52}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB55.74 // Bipartite(2,53) Valencies [53,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8549766568120051128596027506778799299380687576733627449344000000000000 EdgesBipt[55][74]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB55.75 // Bipartite(1,54) Valencies [54,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 230843697339241380472092742683027581083278564571807941132288000000000000 EdgesBipt[55][75]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 55 is 75 // ******************************************************************************************** // Order 56 // ETB56.1 // Bipartite(28,28) Valencies [2,2] // Diameter 28 Girth 56 // Twin-free VT AT // Automorphism group of order 112 EdgesBipt[56][1]:={ {3,32}, {20,42}, {19,37}, {7,50}, {19,41}, {15,40}, {5,55}, {7,52}, {1,29}, {20,38}, {11,47}, {14,39}, {15,44}, {27,48}, {18,33}, {12,30}, {27,46}, {6,43}, {2,45}, {4,49}, {9,37}, {1,38}, {13,53}, {21,30}, {8,33}, {23,53}, {22,47}, {8,36}, {23,55}, {14,35}, {17,48}, {10,46}, {13,51}, {18,31}, {12,29}, {9,34}, {24,43}, {5,56}, {24,39}, {10,42}, {28,31}, {25,36}, {11,45}, {2,41}, {25,40}, {21,32}, {16,54}, {26,52}, {26,54}, {6,44}, {16,56}, {17,50}, {4,51}, {22,49}, {3,35}, {28,34} }; // ETB56.2 // Bipartite(28,28) Valencies [3,3] // Diameter 7 Girth 6 // Twin-free VT AT // Automorphism group of order 168 EdgesBipt[56][2]:={ {20,42}, {17,37}, {15,40}, {27,55}, {1,44}, {10,43}, {8,31}, {1,29}, {6,45}, {4,52}, {2,39}, {17,44}, {5,43}, {6,50}, {11,29}, {19,53}, {12,32}, {14,34}, {13,50}, {3,48}, {6,36}, {9,37}, {26,56}, {27,44}, {18,41}, {20,46}, {9,48}, {23,37}, {25,53}, {24,35}, {4,33}, {7,32}, {5,47}, {15,31}, {26,43}, {4,45}, {21,30}, {2,38}, {9,36}, {22,46}, {10,41}, {11,55}, {3,30}, {12,46}, {10,52}, {5,30}, {28,38}, {12,51}, {13,35}, {23,34}, {8,55}, {26,33}, {19,49}, {24,39}, {28,32}, {13,52}, {1,54}, {2,51}, {21,49}, {25,36}, {22,45}, {14,48}, {18,38}, {19,31}, {16,42}, {7,54}, {7,42}, {22,40}, {24,41}, {18,47}, {25,40}, {14,47}, {20,33}, {27,35}, {16,29}, {11,49}, {21,56}, {3,53}, {15,51}, {16,56}, {17,50}, {8,39}, {23,54}, {28,34} }; // ETB56.3 // Bipartite(28,28) Valencies [3,3] // Diameter 7 Girth 8 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[56][3]:={ {16,50}, {8,54}, {19,37}, {1,47}, {2,46}, {9,45}, {15,40}, {24,29}, {15,52}, {21,36}, {13,31}, {4,44}, {28,52}, {20,35}, {11,47}, {1,43}, {14,39}, {27,32}, {6,31}, {9,38}, {27,48}, {14,45}, {18,33}, {12,32}, {16,55}, {5,46}, {2,33}, {24,47}, {18,56}, {7,30}, {23,48}, {1,38}, {4,55}, {12,39}, {13,53}, {10,34}, {8,36}, {15,30}, {20,54}, {23,42}, {22,37}, {17,51}, {19,48}, {22,44}, {16,49}, {6,42}, {8,51}, {24,32}, {7,35}, {11,36}, {26,42}, {10,56}, {12,50}, {26,46}, {25,55}, {3,49}, {27,56}, {21,31}, {26,29}, {3,41}, {19,40}, {11,41}, {17,30}, {10,51}, {5,34}, {9,49}, {18,38}, {14,37}, {22,43}, {2,35}, {5,41}, {25,33}, {7,53}, {6,52}, {13,44}, {21,39}, {28,50}, {17,45}, {25,40}, {20,43}, {3,53}, {4,29}, {23,54}, {28,34} }; // ETB56.4 // Bipartite(24,32) Valencies [4,3] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[56][4]:={ {18,43}, {13,28}, {14,31}, {6,34}, {17,34}, {2,37}, {2,52}, {11,52}, {1,29}, {16,34}, {20,55}, {1,32}, {5,53}, {2,56}, {18,50}, {20,35}, {24,37}, {21,38}, {18,42}, {6,50}, {6,31}, {4,40}, {3,33}, {11,29}, {19,53}, {7,55}, {11,27}, {12,32}, {15,38}, {6,30}, {22,54}, {10,55}, {3,48}, {16,45}, {20,47}, {9,37}, {7,36}, {24,46}, {23,48}, {8,44}, {8,43}, {21,52}, {7,27}, {16,40}, {5,47}, {22,29}, {4,38}, {13,39}, {9,36}, {14,53}, {11,43}, {5,45}, {17,27}, {17,51}, {10,44}, {14,46}, {20,31}, {16,49}, {23,41}, {8,51}, {9,41}, {12,51}, {9,35}, {8,35}, {10,56}, {4,28}, {3,49}, {3,39}, {24,39}, {18,45}, {22,33}, {12,42}, {19,30}, {2,54}, {21,49}, {15,33}, {5,26}, {14,48}, {13,47}, {15,26}, {1,41}, {7,42}, {19,44}, {22,40}, {10,25}, {13,30}, {15,50}, {21,32}, {4,46}, {17,26}, {23,28}, {23,56}, {1,25}, {24,25}, {19,36}, {12,54} }; // ETB56.5 // Bipartite(24,32) Valencies [4,3] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[56][5]:={ {16,25}, {9,52}, {19,49}, {24,53}, {8,39}, {8,31}, {18,40}, {3,29}, {11,33}, {16,30}, {24,48}, {7,38}, {1,25}, {22,38}, {2,47}, {19,40}, {15,40}, {21,35}, {10,44}, {13,43}, {3,50}, {12,27}, {3,45}, {17,54}, {2,28}, {9,31}, {16,33}, {24,34}, {15,28}, {18,55}, {14,27}, {16,53}, {17,45}, {17,30}, {22,47}, {13,44}, {10,36}, {13,33}, {7,41}, {2,56}, {19,26}, {4,39}, {22,46}, {18,38}, {10,41}, {7,29}, {1,50}, {5,51}, {4,43}, {14,45}, {7,53}, {1,55}, {13,35}, {2,34}, {14,51}, {11,26}, {6,29}, {23,46}, {9,48}, {6,52}, {21,49}, {17,56}, {24,49}, {23,37}, {11,31}, {20,32}, {5,36}, {3,26}, {19,36}, {15,37}, {21,54}, {8,54}, {1,42}, {20,30}, {18,43}, {10,56}, {20,52}, {4,32}, {12,42}, {15,27}, {23,44}, {12,41}, {12,32}, {21,42}, {8,37}, {11,47}, {6,35}, {23,50}, {4,34}, {20,46}, {9,55}, {14,48}, {22,51}, {5,39}, {5,25}, {6,28} }; // ETB56.6 // Bipartite(24,32) Valencies [4,3] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[56][6]:={ {15,32}, {18,32}, {18,52}, {5,36}, {1,47}, {4,39}, {10,40}, {12,48}, {4,41}, {3,46}, {8,31}, {17,28}, {6,33}, {1,30}, {15,53}, {17,39}, {21,33}, {19,56}, {5,53}, {11,54}, {23,31}, {6,55}, {2,43}, {23,38}, {19,42}, {15,44}, {11,27}, {19,35}, {16,55}, {22,42}, {6,43}, {2,45}, {4,49}, {11,42}, {8,46}, {16,27}, {24,44}, {21,52}, {9,29}, {5,47}, {13,40}, {11,51}, {19,28}, {22,26}, {14,36}, {13,33}, {10,47}, {3,54}, {9,43}, {3,30}, {12,34}, {12,37}, {9,51}, {8,51}, {4,48}, {15,25}, {18,46}, {6,49}, {8,55}, {20,34}, {13,38}, {10,56}, {21,34}, {16,38}, {2,27}, {10,37}, {12,25}, {24,26}, {9,50}, {21,31}, {24,50}, {17,40}, {16,28}, {20,50}, {22,36}, {7,39}, {20,49}, {18,29}, {22,45}, {5,35}, {23,30}, {7,53}, {14,29}, {14,44}, {2,41}, {20,32}, {24,41}, {13,48}, {17,45}, {7,37}, {1,52}, {23,56}, {1,25}, {14,54}, {7,26}, {3,35} }; // ETB56.7 // Bipartite(24,32) Valencies [4,3] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[56][7]:={ {24,39}, {7,39}, {18,41}, {2,38}, {15,43}, {3,29}, {20,28}, {18,53}, {3,46}, {19,39}, {10,48}, {11,42}, {1,25}, {18,42}, {19,40}, {19,27}, {12,33}, {16,56}, {22,35}, {21,25}, {6,40}, {22,49}, {22,36}, {15,29}, {6,34}, {17,44}, {4,26}, {24,55}, {3,51}, {23,30}, {15,32}, {5,37}, {17,45}, {6,53}, {12,46}, {10,34}, {20,33}, {13,44}, {7,41}, {12,54}, {16,47}, {22,46}, {21,51}, {2,50}, {4,33}, {7,47}, {5,56}, {14,45}, {8,56}, {14,43}, {8,53}, {11,28}, {24,31}, {18,54}, {7,30}, {14,51}, {3,47}, {1,35}, {13,40}, {23,42}, {9,49}, {21,30}, {12,38}, {11,36}, {2,27}, {20,50}, {2,43}, {23,49}, {1,54}, {8,27}, {20,55}, {13,32}, {11,31}, {5,36}, {24,32}, {5,48}, {9,26}, {21,37}, {17,34}, {23,44}, {8,25}, {9,29}, {14,52}, {4,52}, {10,50}, {17,26}, {16,38}, {10,35}, {9,55}, {4,41}, {1,45}, {13,37}, {16,31}, {19,52}, {15,48}, {6,28} }; // ETB56.8 // Bipartite(24,32) Valencies [4,3] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[56][8]:={ {13,25}, {5,32}, {7,39}, {16,49}, {12,39}, {17,27}, {5,30}, {6,36}, {23,33}, {10,43}, {3,54}, {1,25}, {12,40}, {7,33}, {23,56}, {15,40}, {7,45}, {21,53}, {13,43}, {3,50}, {16,48}, {14,35}, {8,34}, {20,42}, {16,41}, {17,44}, {14,46}, {18,51}, {8,41}, {15,32}, {11,45}, {19,37}, {17,53}, {24,37}, {19,54}, {20,33}, {6,49}, {21,51}, {15,36}, {4,29}, {1,55}, {14,38}, {18,56}, {19,29}, {4,31}, {15,45}, {13,47}, {9,25}, {2,53}, {22,54}, {8,40}, {22,27}, {9,48}, {4,38}, {11,41}, {12,38}, {3,42}, {2,43}, {3,35}, {6,56}, {21,29}, {10,49}, {2,46}, {13,50}, {24,30}, {10,55}, {5,48}, {20,52}, {9,46}, {1,51}, {19,34}, {8,52}, {1,27}, {23,44}, {18,30}, {22,26}, {2,26}, {10,32}, {7,37}, {14,55}, {21,42}, {20,31}, {11,47}, {17,28}, {9,36}, {23,34}, {24,52}, {4,47}, {22,31}, {5,44}, {12,50}, {11,35}, {16,39}, {18,26}, {24,28}, {6,28} }; // ETB56.9 // Bipartite(24,32) Valencies [4,3] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6291456 EdgesBipt[56][9]:={ {21,48}, {7,39}, {13,29}, {12,26}, {2,38}, {21,39}, {9,30}, {15,43}, {17,27}, {24,26}, {18,39}, {10,48}, {1,25}, {22,38}, {23,56}, {6,50}, {17,35}, {23,40}, {22,44}, {10,44}, {6,40}, {22,28}, {17,43}, {7,51}, {6,34}, {20,51}, {8,41}, {18,55}, {5,37}, {16,53}, {24,42}, {20,35}, {13,33}, {12,54}, {18,33}, {13,49}, {9,34}, {4,29}, {5,43}, {14,28}, {13,45}, {4,45}, {16,29}, {24,31}, {4,36}, {14,44}, {21,55}, {22,54}, {17,51}, {1,53}, {7,35}, {12,38}, {3,42}, {14,36}, {15,31}, {6,56}, {5,53}, {2,54}, {5,27}, {10,28}, {2,46}, {16,45}, {8,32}, {11,40}, {11,31}, {3,26}, {20,30}, {21,32}, {9,46}, {1,41}, {3,49}, {19,34}, {1,37}, {12,42}, {15,27}, {8,25}, {14,52}, {10,32}, {8,48}, {4,52}, {24,47}, {19,41}, {15,47}, {18,49}, {11,47}, {16,37}, {20,46}, {19,25}, {3,33}, {19,50}, {9,50}, {2,30}, {23,36}, {7,55}, {11,56}, {23,52} }; // ETB56.10 // Bipartite(28,28) Valencies [4,4] // Diameter 7 Girth 4 // Twin-free VT AT // Automorphism group of order 224 EdgesBipt[56][10]:={ {24,39}, {11,43}, {18,41}, {19,49}, {12,48}, {25,47}, {2,38}, {5,52}, {6,36}, {20,53}, {9,45}, {1,46}, {28,37}, {7,38}, {25,32}, {16,51}, {10,40}, {6,50}, {1,56}, {6,32}, {2,33}, {7,31}, {9,39}, {16,40}, {22,44}, {22,56}, {26,50}, {23,51}, {8,42}, {17,43}, {17,54}, {15,29}, {3,34}, {24,34}, {23,54}, {3,51}, {1,29}, {3,41}, {12,30}, {15,39}, {15,34}, {10,34}, {23,45}, {17,48}, {12,54}, {21,38}, {4,39}, {22,46}, {26,48}, {13,49}, {28,38}, {26,53}, {27,55}, {27,56}, {8,56}, {13,35}, {4,45}, {4,30}, {21,33}, {10,33}, {2,40}, {15,33}, {2,44}, {20,37}, {19,55}, {17,36}, {11,41}, {11,36}, {18,32}, {20,50}, {25,52}, {21,29}, {5,53}, {14,31}, {16,45}, {7,44}, {5,47}, {13,50}, {14,53}, {24,30}, {14,47}, {1,42}, {5,48}, {9,46}, {16,46}, {8,49}, {4,54}, {10,51}, {18,52}, {11,32}, {18,30}, {28,31}, {9,29}, {24,41}, {28,42}, {25,35}, {14,55}, {19,47}, {21,42}, {26,36}, {8,37}, {20,31}, {12,52}, {6,35}, {3,43}, {19,35}, {23,43}, {22,40}, {13,37}, {27,44}, {7,55}, {27,49} }; // ETB56.11 // Bipartite(28,28) Valencies [4,4] // Diameter 7 Girth 4 // Twin-free VT AT // Automorphism group of order 224 EdgesBipt[56][11]:={ {6,39}, {27,54}, {6,48}, {16,49}, {23,47}, {8,36}, {1,46}, {28,37}, {25,32}, {26,33}, {18,42}, {13,34}, {18,37}, {25,44}, {7,54}, {1,56}, {8,55}, {17,35}, {6,32}, {21,35}, {22,56}, {20,43}, {13,38}, {10,45}, {3,31}, {1,29}, {24,40}, {12,30}, {24,54}, {5,33}, {15,34}, {10,34}, {20,38}, {7,41}, {9,43}, {22,46}, {26,48}, {21,51}, {2,32}, {3,40}, {24,38}, {25,45}, {13,49}, {12,51}, {28,53}, {4,53}, {14,50}, {27,55}, {7,53}, {14,43}, {25,29}, {18,56}, {5,29}, {28,36}, {20,49}, {24,31}, {2,42}, {15,50}, {13,47}, {10,33}, {15,33}, {1,35}, {11,37}, {17,51}, {8,40}, {9,48}, {4,38}, {11,41}, {12,55}, {9,44}, {3,52}, {5,46}, {23,53}, {21,29}, {10,49}, {5,45}, {14,31}, {16,45}, {2,39}, {22,39}, {2,51}, {28,30}, {21,32}, {19,34}, {16,44}, {26,39}, {4,54}, {22,42}, {12,42}, {17,41}, {26,46}, {18,30}, {14,52}, {17,55}, {7,37}, {16,43}, {19,47}, {3,36}, {20,31}, {8,30}, {6,44}, {27,41}, {4,47}, {19,50}, {9,50}, {11,35}, {23,36}, {19,52}, {27,40}, {11,56}, {15,48}, {23,52} }; // ETB56.12 // Bipartite(28,28) Valencies [4,4] // Diameter 7 Girth 4 // Twin-free VT AT // Automorphism group of order 458752 EdgesBipt[56][12]:={ {7,39}, {21,43}, {27,54}, {6,48}, {16,49}, {28,33}, {24,53}, {22,32}, {4,42}, {18,40}, {11,33}, {16,30}, {19,39}, {15,55}, {4,40}, {5,34}, {15,44}, {12,31}, {2,37}, {19,40}, {18,37}, {7,45}, {22,35}, {1,44}, {25,51}, {2,55}, {21,53}, {4,44}, {6,40}, {26,50}, {17,42}, {10,52}, {20,43}, {3,34}, {11,52}, {10,45}, {17,44}, {3,48}, {6,43}, {19,56}, {12,46}, {20,38}, {23,32}, {23,45}, {17,48}, {13,33}, {12,54}, {18,38}, {14,30}, {2,36}, {10,41}, {15,36}, {7,29}, {13,49}, {22,29}, {25,33}, {27,55}, {5,56}, {8,35}, {8,56}, {7,53}, {26,31}, {28,36}, {27,51}, {2,42}, {14,51}, {11,51}, {3,47}, {26,52}, {6,29}, {25,41}, {23,46}, {4,38}, {11,50}, {21,45}, {14,36}, {5,38}, {9,35}, {9,53}, {8,43}, {8,32}, {22,39}, {1,49}, {13,55}, {21,56}, {24,35}, {28,30}, {9,46}, {17,34}, {28,31}, {26,54}, {20,29}, {24,41}, {10,32}, {20,34}, {25,46}, {12,41}, {18,47}, {16,42}, {15,47}, {14,54}, {3,37}, {23,50}, {16,37}, {13,31}, {24,52}, {1,47}, {9,50}, {1,30}, {5,39}, {27,49}, {19,48} }; // ETB56.13 // Bipartite(28,28) Valencies [4,4] // Diameter 14 Girth 4 // Has twins VT AT // Automorphism group of order 15032385536 EdgesBipt[56][13]:={ {24,39}, {7,42}, {24,53}, {12,49}, {1,43}, {15,43}, {5,52}, {5,50}, {3,46}, {7,40}, {16,30}, {4,48}, {23,39}, {15,44}, {26,33}, {3,32}, {7,54}, {8,55}, {12,33}, {9,39}, {24,51}, {1,44}, {25,51}, {22,56}, {6,40}, {10,53}, {8,42}, {19,38}, {15,29}, {22,41}, {3,34}, {27,45}, {7,56}, {8,41}, {26,35}, {20,40}, {27,31}, {1,29}, {6,54}, {3,48}, {11,49}, {27,33}, {24,37}, {20,38}, {17,48}, {13,33}, {2,32}, {23,41}, {28,29}, {23,55}, {10,39}, {10,37}, {14,45}, {8,56}, {14,43}, {13,45}, {17,46}, {13,47}, {18,50}, {18,34}, {4,36}, {11,51}, {18,48}, {12,35}, {11,37}, {2,44}, {6,52}, {25,37}, {5,38}, {23,53}, {2,46}, {14,31}, {6,38}, {9,53}, {5,36}, {19,36}, {21,56}, {21,54}, {26,47}, {20,52}, {16,46}, {26,49}, {16,44}, {17,34}, {22,42}, {10,51}, {28,45}, {28,31}, {12,47}, {22,55}, {28,43}, {25,35}, {20,54}, {4,50}, {14,29}, {21,40}, {25,49}, {21,42}, {9,41}, {18,36}, {17,32}, {13,31}, {4,34}, {9,55}, {16,32}, {15,30}, {19,50}, {1,30}, {11,35}, {2,30}, {19,52}, {27,47} }; // ETB56.14 // Bipartite(28,28) Valencies [4,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5505024 EdgesBipt[56][14]:={ {16,34}, {24,33}, {18,41}, {9,52}, {19,49}, {12,49}, {4,42}, {21,31}, {5,30}, {27,32}, {8,51}, {26,55}, {10,38}, {27,35}, {28,37}, {7,38}, {22,30}, {12,31}, {28,56}, {18,42}, {22,52}, {7,31}, {22,35}, {28,48}, {25,51}, {10,44}, {6,40}, {13,42}, {17,43}, {24,45}, {3,34}, {11,54}, {10,45}, {14,56}, {28,32}, {7,56}, {20,40}, {11,45}, {5,37}, {6,54}, {3,48}, {19,37}, {5,49}, {16,53}, {17,48}, {6,47}, {19,30}, {21,38}, {1,36}, {23,55}, {24,38}, {25,45}, {15,36}, {7,29}, {4,43}, {8,35}, {13,35}, {11,39}, {26,31}, {18,50}, {2,34}, {10,33}, {17,33}, {11,51}, {2,53}, {13,40}, {1,53}, {6,29}, {14,32}, {12,55}, {9,44}, {5,46}, {24,44}, {25,39}, {21,29}, {2,46}, {2,39}, {14,37}, {13,32}, {20,47}, {27,42}, {21,56}, {12,36}, {18,43}, {1,41}, {16,46}, {26,49}, {8,52}, {17,34}, {23,44}, {15,41}, {20,29}, {20,54}, {4,50}, {15,47}, {26,36}, {23,50}, {8,30}, {3,43}, {1,47}, {14,48}, {9,55}, {4,41}, {3,33}, {15,53}, {25,54}, {22,51}, {9,50}, {16,39}, {27,40}, {19,46}, {23,52} }; // ETB56.15 // Bipartite(28,28) Valencies [4,4] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29360128 EdgesBipt[56][15]:={ {27,39}, {7,48}, {21,48}, {19,45}, {9,40}, {18,41}, {11,44}, {13,29}, {12,39}, {23,47}, {4,55}, {3,38}, {8,51}, {1,31}, {11,42}, {2,37}, {27,29}, {25,44}, {6,50}, {5,41}, {2,33}, {17,35}, {23,40}, {10,44}, {1,32}, {10,52}, {22,49}, {20,43}, {9,31}, {26,56}, {16,33}, {10,47}, {28,32}, {24,55}, {15,32}, {18,55}, {11,45}, {12,56}, {16,53}, {26,42}, {6,43}, {1,34}, {15,34}, {2,52}, {12,54}, {6,46}, {18,38}, {14,30}, {3,40}, {25,45}, {7,29}, {14,50}, {16,52}, {5,43}, {8,53}, {18,54}, {14,51}, {15,33}, {13,30}, {22,48}, {2,53}, {19,43}, {9,49}, {4,38}, {14,32}, {21,46}, {20,50}, {15,31}, {3,35}, {23,49}, {24,44}, {6,56}, {21,29}, {27,36}, {5,45}, {20,56}, {25,42}, {28,51}, {5,36}, {17,37}, {19,36}, {23,31}, {27,30}, {10,55}, {28,30}, {22,53}, {8,49}, {26,39}, {4,54}, {12,42}, {9,47}, {26,54}, {8,48}, {7,46}, {13,36}, {24,47}, {17,38}, {19,41}, {25,35}, {1,33}, {21,34}, {3,37}, {28,50}, {16,37}, {24,52}, {20,46}, {4,41}, {7,34}, {17,40}, {22,51}, {11,35}, {13,39} }; // ETB56.16 // Bipartite(16,40) Valencies [5,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[56][16]:={ {15,35}, {7,47}, {6,41}, {4,24}, {4,39}, {4,56}, {14,19}, {5,55}, {2,26}, {11,52}, {5,53}, {1,40}, {8,25}, {10,30}, {3,37}, {11,38}, {2,45}, {3,48}, {12,43}, {16,33}, {9,32}, {15,45}, {5,23}, {8,44}, {16,36}, {5,20}, {8,40}, {2,31}, {7,18}, {10,47}, {13,36}, {11,32}, {9,27}, {9,33}, {3,52}, {14,43}, {6,38}, {3,30}, {12,23}, {10,46}, {6,21}, {9,51}, {11,53}, {15,17}, {10,50}, {13,35}, {12,56}, {13,55}, {8,22}, {16,22}, {1,27}, {7,20}, {16,19}, {1,17}, {7,51}, {14,21}, {14,42}, {3,34}, {1,28}, {15,41}, {2,54}, {8,49}, {13,29}, {14,37}, {5,49}, {12,28}, {7,42}, {1,34}, {10,25}, {13,48}, {9,39}, {4,46}, {11,31}, {6,44}, {15,18}, {6,24}, {2,50}, {16,26}, {4,29}, {12,54} }; // ETB56.17 // Bipartite(21,35) Valencies [5,3] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[56][17]:={ {7,43}, {11,43}, {13,41}, {20,27}, {5,32}, {17,47}, {2,38}, {18,40}, {21,31}, {15,43}, {3,46}, {1,46}, {6,23}, {11,29}, {5,34}, {4,49}, {18,42}, {16,51}, {18,37}, {8,46}, {19,24}, {3,50}, {17,42}, {16,48}, {18,23}, {19,33}, {10,47}, {4,26}, {21,28}, {15,28}, {10,30}, {1,29}, {8,44}, {16,53}, {17,45}, {14,33}, {1,34}, {13,51}, {19,56}, {19,54}, {10,34}, {9,27}, {17,48}, {13,33}, {6,49}, {4,39}, {2,50}, {14,30}, {2,32}, {8,47}, {12,51}, {10,31}, {16,52}, {3,22}, {14,28}, {5,55}, {10,24}, {5,56}, {14,45}, {3,23}, {8,53}, {20,49}, {6,55}, {7,30}, {2,35}, {21,55}, {1,35}, {1,26}, {8,40}, {6,29}, {7,35}, {14,32}, {12,44}, {9,53}, {6,38}, {2,39}, {7,44}, {11,40}, {4,22}, {11,31}, {15,37}, {9,24}, {21,54}, {4,56}, {16,22}, {9,26}, {20,52}, {11,27}, {18,52}, {15,41}, {3,25}, {13,36}, {15,38}, {20,54}, {21,42}, {9,36}, {12,50}, {7,36}, {12,37}, {5,25}, {12,45}, {17,25}, {19,48}, {20,41}, {13,39} }; // ETB56.18 // Bipartite(14,42) Valencies [6,2] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 10080 EdgesBipt[56][18]:={ {6,56}, {8,54}, {12,38}, {4,39}, {4,37}, {2,52}, {2,47}, {6,33}, {1,30}, {4,34}, {1,32}, {13,34}, {7,41}, {8,16}, {11,47}, {11,24}, {5,43}, {3,27}, {12,32}, {4,31}, {2,55}, {11,23}, {5,44}, {3,29}, {6,15}, {11,21}, {13,18}, {4,30}, {9,48}, {8,44}, {1,55}, {8,48}, {5,31}, {5,25}, {1,15}, {11,51}, {3,16}, {2,20}, {9,40}, {13,53}, {14,36}, {5,19}, {14,53}, {9,33}, {3,52}, {10,41}, {14,43}, {14,35}, {6,27}, {7,49}, {10,46}, {6,21}, {13,20}, {14,40}, {10,50}, {12,29}, {12,51}, {6,49}, {10,24}, {12,26}, {13,38}, {4,28}, {5,56}, {3,39}, {2,42}, {10,19}, {14,23}, {9,50}, {11,45}, {8,18}, {10,22}, {13,46}, {7,54}, {1,22}, {7,42}, {2,25}, {1,35}, {9,28}, {7,37}, {12,17}, {8,45}, {9,17}, {3,36}, {7,26} }; // ETB56.19 // Bipartite(14,42) Valencies [6,2] // Diameter 14 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2194196594688 EdgesBipt[56][19]:={ {12,20}, {8,19}, {2,44}, {12,48}, {5,55}, {11,52}, {1,29}, {2,30}, {9,25}, {2,29}, {4,44}, {3,55}, {1,56}, {6,45}, {12,49}, {5,27}, {14,49}, {14,50}, {1,43}, {11,24}, {2,43}, {10,48}, {6,46}, {6,31}, {3,42}, {5,40}, {3,27}, {9,38}, {4,31}, {9,52}, {11,37}, {13,50}, {11,23}, {11,38}, {4,16}, {10,33}, {6,32}, {8,47}, {4,30}, {8,46}, {8,32}, {2,16}, {1,15}, {9,24}, {11,51}, {3,28}, {7,40}, {4,45}, {9,53}, {8,33}, {10,34}, {14,36}, {14,22}, {10,47}, {13,36}, {14,35}, {12,34}, {2,15}, {5,54}, {4,17}, {7,25}, {13,51}, {13,22}, {13,23}, {6,18}, {14,21}, {10,19}, {1,28}, {1,42}, {3,41}, {12,35}, {6,17}, {7,39}, {5,26}, {8,18}, {5,41}, {7,53}, {7,54}, {3,56}, {13,37}, {9,39}, {10,20}, {12,21}, {7,26} }; // ETB56.20 // Bipartite(14,42) Valencies [6,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 704643072 EdgesBipt[56][20]:={ {1,15}, {11,43}, {13,41}, {14,21}, {10,22}, {3,56}, {6,36}, {4,27}, {4,48}, {10,43}, {11,42}, {12,17}, {12,31}, {14,42}, {11,22}, {7,23}, {3,45}, {7,51}, {6,45}, {6,34}, {2,19}, {4,26}, {9,17}, {10,18}, {13,20}, {10,30}, {1,29}, {5,49}, {9,38}, {4,20}, {8,33}, {2,56}, {8,28}, {1,36}, {10,39}, {1,50}, {14,50}, {11,46}, {6,55}, {6,15}, {2,40}, {7,30}, {2,35}, {5,28}, {9,54}, {1,26}, {13,40}, {12,23}, {14,32}, {9,33}, {12,38}, {12,44}, {3,35}, {5,27}, {2,46}, {9,53}, {7,44}, {14,53}, {8,16}, {3,24}, {11,25}, {8,54}, {5,48}, {11,21}, {8,49}, {10,51}, {3,16}, {14,29}, {13,52}, {2,25}, {8,37}, {3,37}, {6,24}, {12,52}, {9,32}, {5,18}, {13,31}, {1,47}, {4,41}, {4,47}, {13,19}, {7,34}, {5,39}, {7,55} }; // ETB56.21 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 168 EdgesBipt[56][21]:={ {16,41}, {14,56}, {6,32}, {17,35}, {28,52}, {17,36}, {21,48}, {18,29}, {26,31}, {8,30}, {21,47}, {7,48}, {4,56}, {7,55}, {25,38}, {8,33}, {7,44}, {12,39}, {23,55}, {22,42}, {9,43}, {18,56}, {25,30}, {22,32}, {11,41}, {7,51}, {2,41}, {12,34}, {9,35}, {17,46}, {28,35}, {8,31}, {12,50}, {23,44}, {18,42}, {14,54}, {18,37}, {21,52}, {23,52}, {16,30}, {15,45}, {6,47}, {20,38}, {15,56}, {20,50}, {26,45}, {9,48}, {1,50}, {9,47}, {20,55}, {10,38}, {19,40}, {9,32}, {28,47}, {24,37}, {15,40}, {5,29}, {4,41}, {2,37}, {10,52}, {16,54}, {19,29}, {28,50}, {22,56}, {24,39}, {19,53}, {27,40}, {2,35}, {17,33}, {11,44}, {20,33}, {6,55}, {18,49}, {10,31}, {15,42}, {17,55}, {24,32}, {28,41}, {13,49}, {22,51}, {1,29}, {25,48}, {18,43}, {15,53}, {24,45}, {4,48}, {15,34}, {27,53}, {6,56}, {19,31}, {24,34}, {23,47}, {3,50}, {27,49}, {9,51}, {4,54}, {10,46}, {1,33}, {26,34}, {13,36}, {21,38}, {5,42}, {13,30}, {25,35}, {17,54}, {22,39}, {1,49}, {12,53}, {12,30}, {19,51}, {5,36}, {1,46}, {16,44}, {6,54}, {1,53}, {27,32}, {22,31}, {10,39}, {13,46}, {20,48}, {13,42}, {5,39}, {3,53}, {25,46}, {14,45}, {4,40}, {16,36}, {8,34}, {5,33}, {4,51}, {8,38}, {23,33}, {14,44}, {11,32}, {10,49}, {2,40}, {26,51}, {11,40}, {12,52}, {28,46}, {11,47}, {14,43}, {3,42}, {3,38}, {24,29}, {11,45}, {20,41}, {7,45}, {14,35}, {27,39}, {27,43}, {21,36}, {3,31}, {2,55}, {6,37}, {26,43}, {13,34}, {16,50}, {7,37}, {26,49}, {2,43}, {3,36}, {19,37}, {8,29}, {5,52}, {25,44}, {21,54}, {23,30} }; // ETB56.22 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2688 EdgesBipt[56][22]:={ {16,41}, {14,56}, {11,36}, {12,29}, {17,56}, {21,45}, {5,34}, {11,56}, {18,29}, {12,51}, {21,40}, {4,50}, {8,30}, {26,31}, {16,40}, {7,48}, {4,56}, {22,53}, {16,47}, {8,42}, {8,54}, {19,44}, {25,38}, {28,45}, {27,48}, {14,38}, {23,54}, {12,41}, {3,37}, {15,48}, {24,51}, {19,48}, {3,52}, {5,32}, {17,40}, {9,35}, {17,46}, {12,37}, {28,43}, {10,30}, {2,45}, {23,52}, {19,33}, {15,29}, {20,38}, {11,33}, {6,31}, {14,33}, {2,36}, {9,48}, {9,47}, {17,37}, {15,32}, {28,47}, {19,30}, {27,30}, {22,55}, {1,44}, {2,38}, {12,46}, {12,49}, {10,52}, {23,45}, {7,39}, {2,39}, {24,39}, {10,41}, {16,52}, {4,45}, {7,43}, {11,31}, {28,54}, {25,34}, {6,55}, {6,43}, {18,49}, {4,33}, {10,29}, {22,44}, {27,31}, {3,51}, {24,32}, {17,43}, {9,50}, {1,29}, {3,32}, {4,35}, {23,37}, {23,35}, {15,50}, {14,48}, {6,50}, {13,44}, {14,55}, {14,47}, {19,55}, {5,46}, {8,53}, {5,49}, {27,53}, {10,42}, {27,49}, {18,36}, {18,33}, {22,29}, {15,36}, {21,38}, {18,31}, {7,31}, {13,30}, {25,35}, {7,47}, {9,40}, {22,39}, {26,55}, {5,44}, {10,32}, {19,51}, {28,42}, {26,32}, {1,53}, {17,41}, {13,42}, {20,37}, {3,53}, {25,46}, {25,43}, {16,35}, {20,34}, {13,51}, {23,56}, {24,53}, {20,42}, {6,38}, {2,40}, {18,51}, {11,40}, {20,47}, {9,36}, {16,42}, {25,52}, {28,46}, {8,49}, {26,44}, {7,45}, {8,46}, {1,41}, {13,37}, {27,39}, {3,54}, {21,34}, {2,55}, {13,34}, {20,56}, {11,43}, {15,30}, {22,36}, {1,54}, {1,34}, {26,49}, {21,41}, {24,33}, {26,50}, {6,35}, {4,39}, {5,52}, {24,50}, {21,54} }; // ETB56.23 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 336 EdgesBipt[56][23]:={ {6,48}, {11,53}, {17,50}, {13,52}, {2,33}, {17,44}, {17,36}, {12,29}, {21,45}, {17,47}, {1,56}, {4,30}, {12,56}, {25,39}, {14,51}, {4,56}, {14,39}, {2,51}, {7,55}, {8,42}, {15,49}, {16,31}, {27,47}, {27,48}, {22,46}, {3,43}, {12,38}, {5,56}, {14,38}, {23,54}, {12,41}, {9,49}, {10,33}, {21,35}, {3,37}, {25,30}, {8,39}, {22,32}, {15,54}, {24,44}, {3,52}, {18,41}, {20,30}, {17,46}, {13,29}, {12,50}, {18,34}, {13,55}, {18,42}, {16,43}, {10,30}, {19,33}, {4,38}, {28,56}, {5,40}, {11,33}, {14,33}, {26,45}, {2,36}, {10,38}, {9,29}, {12,36}, {28,34}, {23,45}, {28,50}, {17,39}, {19,53}, {4,45}, {27,40}, {7,43}, {11,31}, {11,44}, {23,36}, {28,54}, {6,43}, {23,41}, {9,34}, {24,52}, {25,54}, {24,32}, {18,55}, {2,48}, {26,35}, {1,29}, {13,31}, {26,37}, {3,32}, {23,42}, {24,47}, {15,41}, {6,50}, {6,44}, {27,46}, {19,55}, {9,37}, {18,53}, {5,49}, {15,34}, {20,45}, {10,46}, {21,31}, {24,35}, {1,52}, {26,42}, {10,43}, {5,41}, {6,51}, {20,29}, {21,56}, {7,47}, {19,46}, {9,40}, {25,32}, {25,47}, {1,42}, {26,55}, {20,39}, {22,54}, {28,42}, {16,44}, {6,54}, {1,53}, {1,37}, {19,32}, {28,30}, {25,43}, {4,51}, {16,35}, {20,34}, {14,44}, {3,48}, {8,50}, {14,32}, {24,53}, {13,41}, {21,53}, {2,47}, {4,49}, {11,40}, {10,50}, {20,36}, {22,48}, {27,35}, {15,38}, {8,49}, {16,46}, {27,37}, {11,48}, {3,31}, {21,34}, {15,39}, {18,40}, {8,51}, {7,33}, {2,30}, {13,45}, {5,35}, {22,36}, {9,31}, {7,52}, {26,49}, {7,40}, {19,37}, {8,29}, {5,52}, {16,55}, {22,38}, {23,51} }; // ETB56.24 // Bipartite(28,28) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 86016 EdgesBipt[56][24]:={ {6,48}, {15,52}, {16,41}, {2,33}, {12,29}, {5,34}, {13,40}, {12,51}, {21,40}, {18,32}, {8,30}, {14,51}, {21,47}, {7,48}, {4,56}, {26,47}, {25,56}, {12,32}, {8,54}, {18,38}, {16,31}, {27,47}, {17,34}, {14,38}, {21,55}, {23,55}, {25,33}, {28,49}, {12,55}, {9,43}, {13,35}, {22,32}, {7,34}, {21,43}, {3,52}, {9,53}, {23,43}, {27,44}, {20,30}, {17,46}, {12,37}, {2,54}, {10,53}, {23,44}, {4,38}, {28,56}, {20,38}, {1,38}, {26,45}, {9,48}, {20,55}, {9,29}, {16,53}, {25,53}, {27,30}, {5,29}, {2,52}, {11,51}, {14,40}, {8,45}, {22,41}, {24,39}, {3,56}, {10,54}, {7,49}, {20,31}, {3,44}, {25,34}, {6,30}, {18,49}, {22,44}, {24,32}, {14,53}, {2,48}, {17,43}, {1,29}, {7,50}, {13,31}, {19,52}, {24,47}, {15,41}, {23,35}, {15,50}, {18,43}, {17,30}, {19,55}, {4,48}, {5,49}, {15,37}, {27,53}, {10,42}, {25,45}, {27,49}, {4,54}, {26,36}, {1,33}, {26,34}, {3,29}, {4,46}, {15,36}, {13,36}, {24,56}, {24,35}, {18,31}, {17,52}, {25,37}, {11,54}, {5,41}, {10,55}, {21,56}, {16,51}, {19,46}, {5,54}, {22,39}, {1,42}, {28,36}, {11,39}, {22,33}, {8,40}, {28,33}, {20,39}, {10,32}, {1,46}, {19,45}, {6,41}, {13,46}, {19,49}, {28,30}, {28,51}, {6,42}, {11,37}, {6,45}, {20,34}, {23,33}, {10,36}, {8,50}, {19,39}, {2,47}, {1,47}, {2,31}, {14,52}, {26,51}, {9,36}, {15,38}, {16,46}, {18,45}, {3,42}, {9,39}, {12,48}, {27,37}, {26,44}, {14,35}, {22,40}, {13,37}, {23,50}, {3,31}, {16,50}, {11,43}, {5,35}, {21,41}, {6,35}, {17,32}, {11,42}, {7,40}, {7,42}, {4,44}, {8,29}, {24,50} }; // ETB56.25 // Bipartite(28,28) Valencies [6,6] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 86016 EdgesBipt[56][25]:={ {2,44}, {8,48}, {11,53}, {3,33}, {13,52}, {18,39}, {11,36}, {2,46}, {2,56}, {25,51}, {17,38}, {15,46}, {10,37}, {1,56}, {16,40}, {21,32}, {18,46}, {8,42}, {28,45}, {15,31}, {4,29}, {9,55}, {24,55}, {7,41}, {7,54}, {12,39}, {4,31}, {12,42}, {13,53}, {21,35}, {14,31}, {25,30}, {26,33}, {26,53}, {14,50}, {24,44}, {27,33}, {2,42}, {18,34}, {23,39}, {6,29}, {23,32}, {5,40}, {3,46}, {10,48}, {6,40}, {14,36}, {9,32}, {5,50}, {28,47}, {19,30}, {22,55}, {25,36}, {15,40}, {12,36}, {1,44}, {8,41}, {2,38}, {24,43}, {28,34}, {22,35}, {4,42}, {22,56}, {17,39}, {28,44}, {1,31}, {16,52}, {21,44}, {19,38}, {4,47}, {4,33}, {23,41}, {10,29}, {9,54}, {6,49}, {17,55}, {9,42}, {28,53}, {18,55}, {4,52}, {16,37}, {12,43}, {7,30}, {26,37}, {18,30}, {15,53}, {6,50}, {11,29}, {5,30}, {13,50}, {15,35}, {9,37}, {17,49}, {28,37}, {5,48}, {27,36}, {8,35}, {20,45}, {19,31}, {26,56}, {23,47}, {14,41}, {14,37}, {9,51}, {20,43}, {27,56}, {22,43}, {16,38}, {21,33}, {17,31}, {10,51}, {5,42}, {1,52}, {24,40}, {24,41}, {18,52}, {10,43}, {21,39}, {25,47}, {27,45}, {12,53}, {20,49}, {11,55}, {25,49}, {6,54}, {22,47}, {20,46}, {7,29}, {10,39}, {21,50}, {22,50}, {19,32}, {23,40}, {16,36}, {8,34}, {2,29}, {20,52}, {16,35}, {3,48}, {13,51}, {15,51}, {11,32}, {23,56}, {19,43}, {13,41}, {6,34}, {8,49}, {13,38}, {27,51}, {17,45}, {3,38}, {11,48}, {7,45}, {5,45}, {1,48}, {3,54}, {14,46}, {3,47}, {7,35}, {19,34}, {1,54}, {27,34}, {26,49}, {24,33}, {12,54}, {20,32}, {25,44}, {26,30} }; // ETB56.26 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 336 EdgesBipt[56][26]:={ {15,52}, {17,44}, {28,52}, {18,39}, {17,36}, {21,48}, {13,40}, {18,48}, {1,56}, {25,39}, {26,31}, {8,30}, {14,51}, {22,37}, {5,38}, {2,51}, {15,31}, {24,55}, {8,33}, {12,38}, {7,41}, {21,42}, {26,33}, {25,30}, {28,55}, {8,39}, {11,41}, {13,47}, {24,36}, {12,34}, {1,30}, {20,30}, {8,44}, {2,42}, {23,39}, {10,53}, {10,30}, {23,32}, {15,45}, {15,29}, {4,38}, {28,56}, {3,34}, {15,56}, {21,46}, {26,45}, {1,50}, {19,54}, {20,55}, {3,49}, {9,29}, {19,40}, {5,50}, {15,32}, {16,53}, {25,36}, {12,36}, {5,29}, {4,41}, {12,49}, {2,37}, {23,45}, {12,44}, {16,54}, {22,35}, {14,30}, {28,50}, {26,40}, {19,53}, {23,34}, {2,53}, {21,44}, {19,38}, {28,54}, {6,55}, {18,49}, {9,54}, {6,49}, {25,41}, {4,52}, {16,37}, {17,43}, {1,29}, {3,32}, {25,48}, {21,51}, {13,50}, {9,37}, {27,38}, {6,56}, {10,42}, {14,41}, {23,38}, {18,47}, {27,49}, {20,51}, {4,54}, {1,33}, {26,34}, {18,33}, {22,43}, {16,49}, {17,31}, {17,52}, {7,31}, {24,41}, {6,51}, {20,29}, {21,56}, {7,47}, {23,53}, {9,40}, {11,52}, {22,33}, {11,55}, {10,32}, {5,36}, {25,42}, {22,47}, {20,46}, {27,32}, {13,46}, {22,50}, {10,35}, {16,36}, {8,34}, {6,45}, {14,44}, {13,48}, {2,40}, {9,33}, {28,46}, {3,55}, {11,47}, {27,35}, {14,43}, {18,45}, {16,39}, {27,51}, {12,48}, {10,56}, {27,37}, {24,29}, {11,45}, {8,46}, {14,35}, {19,50}, {1,48}, {3,31}, {9,46}, {26,43}, {13,34}, {19,35}, {3,47}, {17,42}, {7,35}, {11,43}, {6,53}, {5,37}, {2,43}, {4,39}, {7,40}, {7,42}, {20,32}, {4,44}, {5,52}, {24,54}, {24,31} }; // ETB56.27 // Bipartite(28,28) Valencies [6,6] // Diameter 7 Girth 4 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[56][27]:={ {11,53}, {3,33}, {6,32}, {17,44}, {17,35}, {2,46}, {18,48}, {13,40}, {24,48}, {25,51}, {14,39}, {26,47}, {8,43}, {5,38}, {2,51}, {12,32}, {7,38}, {8,54}, {16,31}, {27,47}, {15,31}, {21,37}, {4,29}, {3,45}, {8,33}, {3,43}, {17,34}, {12,39}, {12,41}, {9,49}, {13,53}, {25,50}, {21,35}, {25,29}, {14,31}, {24,30}, {19,48}, {23,48}, {9,53}, {24,36}, {20,30}, {2,54}, {18,34}, {13,55}, {18,42}, {21,52}, {2,45}, {23,52}, {28,56}, {11,38}, {3,46}, {26,45}, {20,55}, {10,38}, {28,47}, {16,53}, {24,37}, {25,36}, {15,40}, {8,41}, {11,49}, {12,49}, {27,29}, {22,35}, {14,40}, {7,46}, {9,41}, {22,56}, {7,32}, {10,41}, {7,49}, {7,43}, {11,31}, {1,51}, {4,47}, {6,43}, {4,33}, {10,31}, {24,52}, {15,42}, {17,55}, {10,40}, {28,29}, {1,29}, {18,30}, {19,52}, {23,37}, {23,35}, {18,44}, {19,42}, {15,53}, {20,44}, {13,44}, {17,30}, {19,55}, {6,46}, {5,46}, {28,37}, {5,49}, {14,42}, {1,45}, {15,34}, {26,56}, {25,45}, {4,54}, {26,36}, {4,43}, {1,33}, {3,29}, {27,56}, {24,56}, {17,52}, {25,37}, {5,41}, {9,40}, {5,54}, {8,32}, {28,36}, {27,45}, {12,53}, {14,34}, {21,30}, {10,32}, {1,46}, {16,44}, {6,54}, {6,41}, {10,39}, {21,50}, {20,48}, {22,50}, {28,51}, {5,33}, {4,51}, {20,52}, {14,44}, {11,32}, {23,56}, {2,47}, {20,42}, {6,38}, {11,40}, {26,51}, {16,42}, {22,48}, {8,49}, {16,39}, {9,39}, {9,38}, {27,37}, {23,50}, {21,36}, {12,31}, {7,33}, {13,34}, {19,35}, {3,47}, {13,39}, {19,34}, {22,30}, {1,54}, {22,36}, {2,43}, {26,50}, {15,55}, {27,50}, {18,35}, {16,55} }; // ETB56.28 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 336 EdgesBipt[56][28]:={ {13,52}, {17,35}, {17,56}, {18,48}, {24,48}, {23,29}, {17,38}, {12,45}, {4,53}, {12,56}, {8,30}, {16,40}, {21,32}, {21,47}, {25,56}, {8,42}, {15,31}, {21,37}, {7,41}, {7,54}, {21,42}, {25,50}, {3,35}, {28,32}, {25,29}, {14,31}, {26,33}, {28,55}, {7,51}, {14,50}, {24,44}, {27,33}, {2,41}, {24,36}, {12,34}, {23,43}, {17,40}, {20,30}, {8,31}, {13,55}, {23,32}, {15,45}, {19,33}, {28,56}, {20,38}, {11,38}, {3,46}, {9,47}, {19,54}, {10,38}, {17,37}, {19,30}, {16,53}, {12,36}, {1,44}, {8,41}, {2,38}, {24,43}, {11,49}, {12,49}, {27,29}, {14,30}, {14,40}, {7,46}, {11,51}, {9,41}, {24,39}, {24,42}, {10,41}, {16,52}, {27,40}, {2,53}, {23,36}, {21,44}, {3,44}, {20,33}, {6,30}, {4,47}, {4,33}, {13,49}, {26,48}, {9,50}, {1,29}, {23,37}, {15,50}, {25,48}, {18,43}, {15,53}, {6,46}, {9,56}, {12,47}, {26,52}, {15,37}, {8,35}, {9,51}, {20,51}, {4,43}, {1,33}, {10,45}, {26,34}, {22,29}, {4,46}, {5,42}, {27,42}, {7,31}, {13,30}, {17,54}, {28,40}, {16,45}, {22,39}, {26,55}, {11,39}, {1,49}, {14,49}, {10,32}, {22,54}, {5,36}, {28,42}, {16,44}, {19,45}, {6,54}, {5,51}, {26,32}, {22,47}, {19,56}, {22,31}, {20,48}, {1,35}, {20,37}, {25,46}, {6,36}, {8,34}, {2,29}, {14,44}, {10,36}, {11,32}, {19,43}, {4,49}, {18,51}, {10,50}, {6,34}, {25,52}, {28,46}, {3,55}, {22,48}, {18,45}, {16,39}, {9,39}, {3,38}, {1,41}, {13,37}, {23,31}, {18,40}, {2,55}, {11,34}, {3,47}, {13,39}, {6,53}, {5,35}, {27,34}, {7,52}, {2,43}, {15,55}, {27,50}, {18,35}, {5,52}, {5,53}, {21,54} }; // ETB56.29 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[56][29]:={ {25,31}, {13,32}, {17,44}, {18,39}, {21,40}, {25,51}, {3,40}, {17,47}, {10,37}, {4,30}, {25,39}, {7,48}, {4,56}, {22,46}, {8,33}, {1,40}, {21,55}, {23,55}, {22,52}, {21,35}, {3,37}, {24,51}, {19,47}, {15,43}, {1,30}, {27,44}, {8,44}, {17,46}, {28,35}, {10,53}, {18,42}, {16,43}, {2,45}, {15,29}, {6,47}, {5,40}, {11,33}, {21,46}, {14,33}, {2,36}, {9,48}, {7,56}, {1,50}, {20,55}, {9,29}, {15,32}, {28,47}, {27,30}, {12,46}, {2,37}, {23,45}, {5,43}, {7,39}, {22,41}, {22,56}, {3,56}, {28,44}, {1,31}, {19,53}, {4,45}, {28,54}, {6,43}, {23,41}, {10,29}, {9,54}, {10,31}, {27,31}, {24,52}, {25,54}, {6,49}, {25,41}, {17,55}, {22,51}, {12,43}, {7,50}, {26,37}, {3,32}, {15,41}, {18,44}, {2,32}, {6,33}, {13,33}, {24,45}, {11,30}, {28,37}, {18,53}, {14,42}, {5,48}, {26,38}, {6,56}, {14,41}, {23,38}, {27,49}, {4,54}, {18,36}, {16,48}, {15,36}, {21,38}, {24,35}, {12,33}, {24,40}, {18,52}, {10,43}, {10,55}, {4,36}, {7,47}, {21,56}, {16,51}, {19,46}, {23,53}, {25,47}, {11,52}, {1,42}, {5,44}, {8,40}, {12,53}, {20,39}, {12,30}, {20,49}, {14,34}, {11,55}, {27,41}, {7,29}, {19,36}, {19,49}, {5,39}, {22,50}, {16,36}, {11,37}, {16,35}, {20,52}, {6,45}, {20,34}, {4,34}, {8,50}, {13,51}, {13,48}, {24,53}, {2,31}, {26,51}, {16,42}, {27,35}, {15,38}, {8,49}, {3,42}, {28,38}, {13,38}, {26,39}, {9,52}, {11,48}, {14,35}, {5,45}, {23,50}, {3,54}, {9,46}, {13,34}, {17,42}, {19,34}, {9,31}, {1,34}, {26,49}, {17,32}, {12,54}, {20,32}, {8,29}, {14,29}, {2,50}, {26,30} }; // ETB56.30 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[56][30]:={ {11,53}, {3,33}, {17,50}, {2,33}, {12,29}, {13,40}, {24,48}, {2,56}, {18,32}, {12,56}, {22,37}, {21,32}, {7,48}, {7,55}, {8,54}, {28,45}, {15,49}, {4,29}, {9,55}, {22,46}, {7,41}, {1,40}, {5,56}, {8,52}, {12,42}, {3,35}, {25,50}, {28,32}, {5,47}, {13,35}, {15,48}, {18,56}, {14,31}, {25,30}, {11,41}, {7,36}, {10,44}, {3,52}, {27,33}, {1,30}, {17,40}, {20,30}, {8,44}, {12,37}, {10,30}, {23,32}, {15,45}, {6,31}, {2,34}, {1,50}, {10,38}, {5,50}, {28,47}, {25,53}, {2,38}, {24,43}, {11,49}, {28,34}, {10,52}, {5,43}, {14,30}, {4,42}, {9,41}, {17,39}, {28,44}, {16,52}, {4,45}, {27,40}, {11,31}, {20,31}, {11,44}, {23,36}, {21,44}, {19,38}, {1,51}, {4,47}, {6,49}, {9,42}, {18,55}, {16,37}, {12,43}, {1,29}, {7,50}, {23,42}, {15,41}, {15,50}, {14,48}, {16,32}, {24,45}, {14,55}, {14,47}, {6,44}, {27,46}, {6,46}, {12,47}, {24,49}, {13,54}, {20,51}, {4,54}, {10,45}, {26,34}, {18,33}, {22,29}, {22,43}, {8,37}, {18,31}, {26,42}, {18,52}, {10,43}, {25,35}, {21,39}, {17,54}, {6,51}, {20,29}, {7,47}, {16,51}, {23,53}, {9,40}, {26,55}, {11,39}, {22,33}, {26,54}, {27,41}, {17,29}, {5,36}, {6,54}, {1,53}, {20,46}, {19,56}, {19,36}, {24,38}, {20,48}, {16,56}, {28,30}, {23,40}, {3,53}, {25,43}, {8,38}, {4,34}, {14,32}, {19,39}, {21,53}, {16,42}, {9,36}, {25,52}, {22,48}, {27,35}, {13,38}, {27,37}, {17,45}, {13,37}, {21,36}, {3,41}, {26,46}, {3,31}, {21,34}, {15,39}, {9,46}, {8,51}, {2,55}, {19,35}, {13,39}, {19,34}, {5,35}, {26,49}, {24,33}, {2,49}, {23,51} }; // ETB56.31 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[56][31]:={ {6,48}, {2,44}, {11,53}, {14,56}, {17,44}, {28,52}, {18,39}, {12,29}, {24,48}, {12,51}, {15,46}, {1,56}, {4,50}, {25,39}, {26,31}, {8,30}, {22,37}, {21,47}, {4,56}, {16,47}, {12,32}, {25,38}, {16,31}, {18,50}, {9,44}, {23,54}, {22,42}, {23,55}, {10,33}, {21,42}, {3,35}, {28,49}, {5,47}, {25,29}, {26,33}, {28,55}, {19,48}, {7,36}, {2,41}, {12,34}, {18,41}, {5,32}, {17,40}, {21,49}, {2,42}, {13,55}, {16,43}, {10,30}, {2,45}, {16,30}, {23,32}, {15,29}, {3,34}, {10,48}, {27,54}, {14,33}, {19,54}, {14,36}, {25,36}, {8,41}, {24,43}, {27,29}, {8,45}, {14,40}, {2,39}, {17,39}, {7,32}, {19,53}, {21,44}, {4,47}, {18,49}, {9,54}, {3,51}, {13,49}, {14,53}, {4,52}, {10,40}, {7,30}, {7,50}, {3,39}, {13,31}, {7,53}, {19,52}, {15,41}, {23,35}, {13,33}, {6,33}, {18,43}, {24,45}, {13,44}, {6,44}, {17,30}, {15,35}, {9,56}, {12,47}, {18,53}, {15,37}, {20,45}, {4,55}, {27,52}, {9,51}, {26,34}, {27,56}, {24,56}, {5,42}, {17,52}, {26,42}, {11,54}, {10,43}, {28,40}, {19,46}, {9,40}, {25,32}, {20,39}, {20,49}, {11,55}, {10,32}, {19,51}, {17,29}, {28,42}, {26,41}, {1,53}, {20,46}, {22,31}, {21,50}, {1,37}, {20,37}, {25,43}, {16,36}, {6,36}, {3,30}, {5,33}, {4,51}, {16,35}, {8,38}, {20,34}, {15,51}, {6,38}, {27,35}, {11,47}, {22,48}, {8,49}, {28,38}, {6,52}, {9,38}, {3,38}, {11,45}, {7,45}, {22,40}, {1,41}, {13,37}, {23,50}, {23,31}, {26,46}, {1,48}, {24,46}, {2,55}, {14,46}, {12,31}, {11,43}, {5,35}, {22,36}, {27,34}, {1,34}, {5,37}, {8,29}, {24,50}, {21,54} }; // ETB56.32 // Bipartite(28,28) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 22020096 EdgesBipt[56][32]:={ {14,56}, {6,32}, {17,36}, {11,56}, {15,46}, {12,45}, {4,30}, {4,50}, {5,38}, {25,56}, {15,49}, {27,47}, {21,37}, {18,50}, {24,55}, {8,33}, {5,56}, {12,39}, {4,31}, {25,33}, {28,49}, {21,35}, {18,54}, {11,41}, {19,48}, {7,36}, {15,43}, {24,44}, {10,44}, {3,52}, {13,47}, {12,34}, {1,30}, {9,35}, {8,44}, {13,29}, {12,37}, {16,29}, {2,42}, {14,54}, {2,45}, {23,52}, {28,56}, {5,40}, {11,33}, {21,46}, {26,45}, {9,47}, {20,55}, {3,49}, {19,40}, {28,47}, {16,53}, {22,34}, {27,29}, {5,43}, {17,51}, {7,46}, {28,44}, {10,41}, {2,53}, {19,38}, {28,54}, {6,55}, {6,43}, {22,44}, {3,51}, {15,42}, {25,41}, {28,53}, {18,55}, {14,53}, {2,48}, {10,40}, {26,37}, {18,30}, {3,32}, {23,35}, {8,36}, {24,45}, {14,47}, {27,38}, {17,49}, {26,52}, {17,48}, {5,48}, {4,55}, {19,31}, {23,47}, {4,54}, {10,46}, {21,31}, {10,45}, {20,43}, {26,34}, {16,48}, {1,43}, {18,31}, {17,52}, {25,37}, {7,31}, {24,41}, {24,40}, {10,55}, {9,40}, {25,32}, {16,45}, {1,42}, {5,31}, {1,49}, {22,33}, {26,54}, {21,29}, {14,49}, {1,39}, {27,41}, {1,46}, {25,42}, {19,56}, {7,29}, {9,30}, {20,35}, {22,50}, {23,40}, {8,34}, {11,37}, {4,51}, {2,29}, {8,38}, {20,34}, {23,33}, {14,44}, {3,48}, {8,50}, {13,51}, {11,32}, {19,43}, {13,41}, {18,51}, {9,33}, {12,52}, {16,42}, {6,34}, {13,38}, {27,51}, {26,39}, {9,52}, {20,53}, {27,39}, {21,36}, {15,39}, {24,46}, {7,35}, {13,39}, {16,50}, {6,53}, {15,30}, {7,37}, {22,36}, {6,35}, {17,32}, {11,42}, {3,36}, {12,54}, {20,32}, {22,38}, {2,50}, {23,30} }; // ETB56.33 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 98304 EdgesBipt[56][33]:={ {8,48}, {15,52}, {11,53}, {14,56}, {9,28}, {18,39}, {12,29}, {2,46}, {11,35}, {11,56}, {24,48}, {12,51}, {23,27}, {4,53}, {1,56}, {16,40}, {14,51}, {8,43}, {22,53}, {8,42}, {15,31}, {21,37}, {4,29}, {24,55}, {3,43}, {5,56}, {4,31}, {23,54}, {10,33}, {2,27}, {21,42}, {13,53}, {12,55}, {9,43}, {3,37}, {18,56}, {7,34}, {15,47}, {7,51}, {15,43}, {10,44}, {2,41}, {1,30}, {23,43}, {17,40}, {8,44}, {21,49}, {13,55}, {23,39}, {23,44}, {21,52}, {2,45}, {19,33}, {3,34}, {10,48}, {21,46}, {1,38}, {2,36}, {9,47}, {19,26}, {9,32}, {5,50}, {15,32}, {22,34}, {12,49}, {10,52}, {23,45}, {14,30}, {7,39}, {4,42}, {5,25}, {10,41}, {2,35}, {24,25}, {3,44}, {19,38}, {6,55}, {4,47}, {21,26}, {3,51}, {24,32}, {18,55}, {22,51}, {10,40}, {3,32}, {15,41}, {18,44}, {15,50}, {6,33}, {7,26}, {19,42}, {18,43}, {5,30}, {17,30}, {11,30}, {17,27}, {5,46}, {8,53}, {12,25}, {17,48}, {13,25}, {13,54}, {20,28}, {1,28}, {23,47}, {18,47}, {20,51}, {1,33}, {16,48}, {22,29}, {3,26}, {16,38}, {24,56}, {24,35}, {17,31}, {12,26}, {1,52}, {7,31}, {24,40}, {5,41}, {17,54}, {7,47}, {20,29}, {12,27}, {5,54}, {8,32}, {6,27}, {22,33}, {18,25}, {14,49}, {5,36}, {1,25}, {16,44}, {20,46}, {19,36}, {6,28}, {13,27}, {10,39}, {13,42}, {19,49}, {22,50}, {14,45}, {4,40}, {16,36}, {11,37}, {20,52}, {6,45}, {20,34}, {3,48}, {15,33}, {6,38}, {4,49}, {10,50}, {9,36}, {8,49}, {16,46}, {16,39}, {6,52}, {9,38}, {17,45}, {11,45}, {20,41}, {14,35}, {20,53}, {13,37}, {19,50}, {9,46}, {2,55}, {13,34}, {11,34}, {7,37}, {1,54}, {22,36}, {9,31}, {21,41}, {21,28}, {6,35}, {17,32}, {11,42}, {12,54}, {4,39}, {18,35}, {16,28}, {7,40}, {19,37}, {8,29}, {24,31}, {14,29}, {2,50}, {22,38}, {14,26}, {23,30} }; // ETB56.34 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[56][34]:={ {2,44}, {8,48}, {11,53}, {14,56}, {2,33}, {12,29}, {11,35}, {21,48}, {4,26}, {2,56}, {21,40}, {17,38}, {23,27}, {15,46}, {10,37}, {4,53}, {18,46}, {22,37}, {17,53}, {5,55}, {2,51}, {16,47}, {7,55}, {8,42}, {9,55}, {24,55}, {7,44}, {17,34}, {21,55}, {15,44}, {21,42}, {13,53}, {3,35}, {12,55}, {18,54}, {13,35}, {19,47}, {24,51}, {8,39}, {22,32}, {11,41}, {8,25}, {14,28}, {8,27}, {11,50}, {23,39}, {15,25}, {14,54}, {6,29}, {19,28}, {19,33}, {3,34}, {6,40}, {2,36}, {7,56}, {5,50}, {9,26}, {9,27}, {8,41}, {2,38}, {8,47}, {23,45}, {5,43}, {19,29}, {17,51}, {7,32}, {15,26}, {10,41}, {19,53}, {4,45}, {22,27}, {23,36}, {21,44}, {3,51}, {15,42}, {4,52}, {7,50}, {24,26}, {18,30}, {23,37}, {13,33}, {14,48}, {2,32}, {18,43}, {16,32}, {13,43}, {20,44}, {13,44}, {14,47}, {17,49}, {12,28}, {1,45}, {24,49}, {13,25}, {18,36}, {4,28}, {4,43}, {10,45}, {20,43}, {3,29}, {16,48}, {4,46}, {5,28}, {16,49}, {10,51}, {7,31}, {24,40}, {24,41}, {18,52}, {17,28}, {21,56}, {16,51}, {12,27}, {9,40}, {22,25}, {16,45}, {22,39}, {1,42}, {5,31}, {6,27}, {11,39}, {1,49}, {8,40}, {22,33}, {12,40}, {17,29}, {1,25}, {1,46}, {6,54}, {22,47}, {6,41}, {22,31}, {9,30}, {10,39}, {21,50}, {20,48}, {24,38}, {13,42}, {16,56}, {20,35}, {19,32}, {16,36}, {3,30}, {11,37}, {20,52}, {1,26}, {23,46}, {10,36}, {15,33}, {14,32}, {10,49}, {20,42}, {1,47}, {4,49}, {14,52}, {10,50}, {12,52}, {6,34}, {15,38}, {19,25}, {18,45}, {9,38}, {3,38}, {23,31}, {1,48}, {3,54}, {9,46}, {17,26}, {6,39}, {7,33}, {12,31}, {13,34}, {11,34}, {20,56}, {11,43}, {2,30}, {20,54}, {15,30}, {19,34}, {7,37}, {9,31}, {5,37}, {21,41}, {6,35}, {3,36}, {12,54}, {18,35}, {5,52}, {24,50}, {5,53}, {14,29}, {23,30} }; // ETB56.35 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[56][35]:={ {6,48}, {15,52}, {3,33}, {14,56}, {6,32}, {18,39}, {17,56}, {5,34}, {11,56}, {21,48}, {16,33}, {24,48}, {17,38}, {17,47}, {10,37}, {1,56}, {14,51}, {21,32}, {17,53}, {9,45}, {22,46}, {24,27}, {7,41}, {7,44}, {12,39}, {21,55}, {12,41}, {10,33}, {21,42}, {13,35}, {15,48}, {19,47}, {14,31}, {2,26}, {7,51}, {15,54}, {12,35}, {3,52}, {9,53}, {8,31}, {2,54}, {13,55}, {23,39}, {15,25}, {16,43}, {14,54}, {18,37}, {21,52}, {10,30}, {15,45}, {3,34}, {22,45}, {11,38}, {6,40}, {2,36}, {9,48}, {7,56}, {19,54}, {20,55}, {10,38}, {19,26}, {5,50}, {9,27}, {22,34}, {1,44}, {5,29}, {8,47}, {12,49}, {2,52}, {23,45}, {12,44}, {11,51}, {7,39}, {4,42}, {9,41}, {23,34}, {4,45}, {7,49}, {11,31}, {20,31}, {2,35}, {15,27}, {21,27}, {1,51}, {10,29}, {9,34}, {15,42}, {24,32}, {13,49}, {7,30}, {18,30}, {23,37}, {18,44}, {16,32}, {13,43}, {11,29}, {20,44}, {13,44}, {5,30}, {14,47}, {6,46}, {11,30}, {4,48}, {17,49}, {8,53}, {14,42}, {15,34}, {20,28}, {8,35}, {13,28}, {1,28}, {3,50}, {3,27}, {20,51}, {10,46}, {4,28}, {4,43}, {1,43}, {4,46}, {22,43}, {8,37}, {13,36}, {8,26}, {18,31}, {12,26}, {24,41}, {5,41}, {9,40}, {22,25}, {1,42}, {1,49}, {8,40}, {22,33}, {12,40}, {12,53}, {10,32}, {22,54}, {17,29}, {1,25}, {17,41}, {7,29}, {19,36}, {19,56}, {21,50}, {24,38}, {19,49}, {14,25}, {5,39}, {20,35}, {13,26}, {23,40}, {16,36}, {5,33}, {11,37}, {20,52}, {6,45}, {8,38}, {23,33}, {23,46}, {19,43}, {24,53}, {2,47}, {20,42}, {6,38}, {18,51}, {10,50}, {14,52}, {2,31}, {3,55}, {11,47}, {5,27}, {19,25}, {16,46}, {9,39}, {4,25}, {24,29}, {3,54}, {18,40}, {17,26}, {2,55}, {6,37}, {16,50}, {6,53}, {22,36}, {21,28}, {3,36}, {18,35}, {16,28}, {4,32}, {24,50}, {16,55}, {23,30} }; // ETB56.36 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[56][36]:={ {6,48}, {2,44}, {11,53}, {9,28}, {2,33}, {17,44}, {11,36}, {12,29}, {11,56}, {16,26}, {18,29}, {24,48}, {21,40}, {17,38}, {4,53}, {18,32}, {16,40}, {17,53}, {8,42}, {8,54}, {15,49}, {4,29}, {9,55}, {18,50}, {20,27}, {3,43}, {23,28}, {7,44}, {4,31}, {8,52}, {12,41}, {23,55}, {9,49}, {22,52}, {13,53}, {12,55}, {3,37}, {24,51}, {2,26}, {15,54}, {24,36}, {9,35}, {20,30}, {8,27}, {21,49}, {18,34}, {23,39}, {18,42}, {15,45}, {19,28}, {6,47}, {22,45}, {21,46}, {2,34}, {9,48}, {1,50}, {19,54}, {19,40}, {10,47}, {17,37}, {5,50}, {4,41}, {2,38}, {2,37}, {10,52}, {12,44}, {14,40}, {22,35}, {4,42}, {9,41}, {17,39}, {10,54}, {3,56}, {16,52}, {23,34}, {7,49}, {7,43}, {11,31}, {7,25}, {22,27}, {17,33}, {15,27}, {1,51}, {3,44}, {6,55}, {10,31}, {13,49}, {22,51}, {12,43}, {1,29}, {7,30}, {24,26}, {3,32}, {24,47}, {2,32}, {6,33}, {18,43}, {24,45}, {13,44}, {19,55}, {8,53}, {12,28}, {12,25}, {14,42}, {1,45}, {13,25}, {6,56}, {13,54}, {18,26}, {19,31}, {23,38}, {10,46}, {4,28}, {8,37}, {5,28}, {21,38}, {24,41}, {13,30}, {5,41}, {4,36}, {21,39}, {16,51}, {19,46}, {9,40}, {8,32}, {1,42}, {5,31}, {17,25}, {6,26}, {22,33}, {1,39}, {5,36}, {1,25}, {5,51}, {1,53}, {7,29}, {19,56}, {9,30}, {13,27}, {21,50}, {20,48}, {19,49}, {16,34}, {5,39}, {20,35}, {22,26}, {11,37}, {16,35}, {20,52}, {10,27}, {10,36}, {3,48}, {11,32}, {15,33}, {14,32}, {23,56}, {6,38}, {18,51}, {14,52}, {20,36}, {20,47}, {6,34}, {3,55}, {11,47}, {14,43}, {15,38}, {16,46}, {12,48}, {10,56}, {17,45}, {4,25}, {20,41}, {8,46}, {14,35}, {13,37}, {5,45}, {23,50}, {23,31}, {15,39}, {21,34}, {14,46}, {3,47}, {7,35}, {16,50}, {15,30}, {22,30}, {2,43}, {24,33}, {11,42}, {7,40}, {14,29}, {21,54} }; // ETB56.37 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[56][37]:={ {2,44}, {8,48}, {17,50}, {9,28}, {2,33}, {17,44}, {17,56}, {21,45}, {5,34}, {18,48}, {18,29}, {21,40}, {10,37}, {1,56}, {16,27}, {8,30}, {5,38}, {7,55}, {18,38}, {4,29}, {3,43}, {23,28}, {3,25}, {20,40}, {17,34}, {4,31}, {12,41}, {13,53}, {21,35}, {18,54}, {9,43}, {19,47}, {7,51}, {15,54}, {14,50}, {8,25}, {9,53}, {8,44}, {13,29}, {12,37}, {12,50}, {11,28}, {21,52}, {16,30}, {6,47}, {3,46}, {6,31}, {2,34}, {1,50}, {9,47}, {3,49}, {14,36}, {19,30}, {16,53}, {24,37}, {22,34}, {22,55}, {15,40}, {2,38}, {24,43}, {12,49}, {5,43}, {12,44}, {11,51}, {14,40}, {2,39}, {22,56}, {17,39}, {7,32}, {15,26}, {24,39}, {10,41}, {16,52}, {23,34}, {20,31}, {22,27}, {1,51}, {4,47}, {23,26}, {23,41}, {10,31}, {24,52}, {3,51}, {2,48}, {24,47}, {8,36}, {2,32}, {11,29}, {14,55}, {19,55}, {15,35}, {4,48}, {5,46}, {8,53}, {12,25}, {5,49}, {14,42}, {24,49}, {13,25}, {6,56}, {20,28}, {20,45}, {18,26}, {3,50}, {23,38}, {4,28}, {10,45}, {18,33}, {21,33}, {15,36}, {17,52}, {1,52}, {13,30}, {5,41}, {10,55}, {21,39}, {9,40}, {16,45}, {1,42}, {6,26}, {8,40}, {18,25}, {1,25}, {11,46}, {6,54}, {20,46}, {7,29}, {19,36}, {6,28}, {9,30}, {13,27}, {19,49}, {16,34}, {16,56}, {5,39}, {20,35}, {4,37}, {22,26}, {10,35}, {5,33}, {2,29}, {10,27}, {1,26}, {14,44}, {23,46}, {8,50}, {13,51}, {11,32}, {13,48}, {14,32}, {15,33}, {23,56}, {19,43}, {10,49}, {21,53}, {18,51}, {9,36}, {11,47}, {15,38}, {3,42}, {16,39}, {6,52}, {12,48}, {7,27}, {20,41}, {7,45}, {14,35}, {20,53}, {3,41}, {23,31}, {9,46}, {12,31}, {6,37}, {17,42}, {7,35}, {11,43}, {13,45}, {1,54}, {22,30}, {22,36}, {24,33}, {15,55}, {17,32}, {11,42}, {7,42}, {4,44}, {19,37}, {4,32}, {19,27}, {24,54}, {21,54}, {22,38} }; // ETB56.38 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[56][38]:={ {15,52}, {13,32}, {17,44}, {4,27}, {18,48}, {23,29}, {2,56}, {21,40}, {3,40}, {23,27}, {15,46}, {16,27}, {4,50}, {8,30}, {22,37}, {7,48}, {8,43}, {9,45}, {7,55}, {19,44}, {15,31}, {18,50}, {23,28}, {12,38}, {7,44}, {17,34}, {9,44}, {4,31}, {21,55}, {8,52}, {9,49}, {10,33}, {12,42}, {2,27}, {21,42}, {3,37}, {13,35}, {8,39}, {22,32}, {15,47}, {14,50}, {15,43}, {12,34}, {12,37}, {21,49}, {11,50}, {13,55}, {18,42}, {11,28}, {18,37}, {10,30}, {6,29}, {16,30}, {23,32}, {15,29}, {6,47}, {3,34}, {9,47}, {19,54}, {19,30}, {16,53}, {12,36}, {2,38}, {12,49}, {5,43}, {19,29}, {11,51}, {14,40}, {17,39}, {10,54}, {15,26}, {10,28}, {17,33}, {23,36}, {24,25}, {19,38}, {20,33}, {10,29}, {17,55}, {14,53}, {4,52}, {7,50}, {13,31}, {3,32}, {4,35}, {15,41}, {7,26}, {19,42}, {2,32}, {18,43}, {24,45}, {21,51}, {5,30}, {6,44}, {17,30}, {21,25}, {5,46}, {12,25}, {1,45}, {5,48}, {6,56}, {20,28}, {8,35}, {10,42}, {20,45}, {4,55}, {1,28}, {14,37}, {18,47}, {9,51}, {20,43}, {16,48}, {3,26}, {8,37}, {13,36}, {24,56}, {17,52}, {12,33}, {24,40}, {24,41}, {11,54}, {10,43}, {4,36}, {7,47}, {19,46}, {23,53}, {16,45}, {22,39}, {5,31}, {11,39}, {22,33}, {20,39}, {20,49}, {11,55}, {22,54}, {19,51}, {1,25}, {1,46}, {16,44}, {1,53}, {6,41}, {24,38}, {14,25}, {16,56}, {22,50}, {23,49}, {3,53}, {8,34}, {2,29}, {16,35}, {23,46}, {3,48}, {11,32}, {13,48}, {13,41}, {2,40}, {18,51}, {14,52}, {11,40}, {2,31}, {20,47}, {5,27}, {5,26}, {9,39}, {6,52}, {9,38}, {10,56}, {4,25}, {1,41}, {5,45}, {3,41}, {21,34}, {9,46}, {8,51}, {17,26}, {7,33}, {13,34}, {20,56}, {6,53}, {1,54}, {22,36}, {21,28}, {6,35}, {18,35}, {7,42}, {14,27}, {24,54}, {24,31}, {1,36}, {2,49}, {22,38}, {14,26} }; // ETB56.39 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[56][39]:={ {11,53}, {3,33}, {16,41}, {2,33}, {12,29}, {2,46}, {21,40}, {4,30}, {4,50}, {21,32}, {22,37}, {21,47}, {14,39}, {5,55}, {2,51}, {9,55}, {20,27}, {3,43}, {23,28}, {3,25}, {20,40}, {7,54}, {12,39}, {22,42}, {23,55}, {15,44}, {15,48}, {19,47}, {24,51}, {18,56}, {14,31}, {15,47}, {14,50}, {23,48}, {24,44}, {10,44}, {3,52}, {2,41}, {24,36}, {2,28}, {1,30}, {5,32}, {9,35}, {20,30}, {8,44}, {13,29}, {12,50}, {2,42}, {11,28}, {10,30}, {6,29}, {23,52}, {16,30}, {15,45}, {19,33}, {4,38}, {6,47}, {5,40}, {3,46}, {11,33}, {6,31}, {21,46}, {1,38}, {9,48}, {7,56}, {1,50}, {19,54}, {10,47}, {9,32}, {12,46}, {8,47}, {24,43}, {12,49}, {10,52}, {23,45}, {14,40}, {22,35}, {2,39}, {17,39}, {7,32}, {24,39}, {10,41}, {16,52}, {7,49}, {11,31}, {22,27}, {15,27}, {19,38}, {18,49}, {6,49}, {15,42}, {17,55}, {9,42}, {13,49}, {14,53}, {2,48}, {17,43}, {24,26}, {18,44}, {13,33}, {16,32}, {13,43}, {19,41}, {9,56}, {4,48}, {8,53}, {18,53}, {12,25}, {23,25}, {17,48}, {13,54}, {6,56}, {8,35}, {13,28}, {14,37}, {18,36}, {4,28}, {10,45}, {1,43}, {8,37}, {15,36}, {24,56}, {21,38}, {17,31}, {10,51}, {8,26}, {17,52}, {12,26}, {1,52}, {7,31}, {20,29}, {16,51}, {23,53}, {5,54}, {5,44}, {22,33}, {21,29}, {18,25}, {22,54}, {1,25}, {20,46}, {14,25}, {16,56}, {20,35}, {19,32}, {22,50}, {23,49}, {13,26}, {11,37}, {4,51}, {16,35}, {18,28}, {10,27}, {6,45}, {20,34}, {4,34}, {20,42}, {18,51}, {11,40}, {9,36}, {5,27}, {15,38}, {8,55}, {5,26}, {3,42}, {9,38}, {17,45}, {7,27}, {7,45}, {19,50}, {3,41}, {21,34}, {17,26}, {14,46}, {6,37}, {13,34}, {11,34}, {11,43}, {22,30}, {1,34}, {21,41}, {6,35}, {3,36}, {12,54}, {4,39}, {7,40}, {19,37}, {8,29}, {24,31}, {1,36}, {16,55}, {5,53} }; // ETB56.40 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3072 EdgesBipt[56][40]:={ {2,44}, {3,33}, {16,41}, {13,52}, {14,56}, {6,32}, {5,34}, {13,40}, {21,48}, {3,40}, {12,45}, {17,47}, {1,56}, {8,30}, {16,40}, {18,46}, {21,32}, {17,53}, {12,32}, {8,54}, {18,38}, {15,49}, {4,29}, {9,55}, {22,46}, {1,27}, {20,40}, {7,41}, {1,40}, {10,26}, {14,38}, {9,44}, {4,31}, {22,42}, {23,55}, {10,33}, {21,35}, {9,43}, {15,48}, {7,34}, {7,51}, {16,25}, {12,35}, {2,28}, {12,50}, {23,44}, {14,54}, {21,52}, {16,30}, {15,29}, {15,56}, {20,50}, {9,47}, {19,54}, {9,32}, {16,53}, {9,27}, {12,46}, {24,43}, {2,37}, {23,45}, {12,44}, {16,54}, {11,51}, {2,39}, {7,32}, {3,56}, {24,39}, {1,31}, {16,52}, {7,49}, {2,53}, {11,31}, {20,31}, {2,35}, {17,33}, {23,36}, {21,27}, {3,44}, {6,55}, {4,47}, {6,30}, {23,41}, {21,26}, {10,31}, {9,34}, {6,49}, {15,42}, {13,49}, {14,53}, {22,51}, {16,37}, {12,43}, {3,39}, {4,35}, {23,37}, {8,36}, {6,50}, {20,44}, {17,30}, {19,55}, {4,48}, {5,46}, {14,42}, {17,48}, {24,49}, {13,28}, {18,27}, {24,34}, {14,41}, {3,27}, {4,43}, {1,33}, {10,45}, {1,43}, {15,36}, {13,36}, {21,38}, {8,26}, {10,51}, {5,42}, {12,33}, {24,40}, {18,52}, {13,30}, {6,51}, {20,29}, {22,25}, {5,54}, {11,39}, {22,33}, {11,55}, {18,25}, {5,36}, {1,25}, {22,28}, {19,45}, {22,47}, {19,56}, {6,41}, {10,39}, {19,49}, {14,25}, {4,37}, {11,26}, {3,53}, {10,35}, {2,29}, {11,27}, {18,28}, {8,38}, {20,34}, {8,50}, {13,48}, {23,56}, {19,39}, {19,43}, {2,47}, {21,53}, {6,38}, {18,51}, {10,50}, {20,36}, {11,47}, {15,38}, {8,55}, {5,26}, {15,28}, {4,25}, {24,29}, {3,28}, {20,41}, {7,45}, {8,46}, {13,37}, {5,45}, {23,31}, {1,48}, {9,46}, {17,26}, {17,42}, {11,34}, {22,30}, {7,52}, {17,32}, {18,35}, {7,42}, {19,37}, {5,52}, {24,50}, {24,54}, {14,29} }; // ETB56.41 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3072 EdgesBipt[56][41]:={ {11,53}, {16,41}, {13,52}, {6,32}, {17,44}, {17,56}, {11,35}, {11,56}, {18,48}, {21,48}, {4,26}, {23,29}, {3,40}, {23,27}, {17,47}, {10,37}, {4,53}, {8,30}, {14,39}, {5,55}, {2,51}, {7,38}, {9,55}, {18,50}, {20,27}, {3,45}, {3,25}, {20,40}, {1,40}, {7,54}, {14,38}, {4,31}, {8,52}, {22,42}, {22,52}, {5,47}, {15,47}, {16,25}, {15,54}, {10,44}, {9,53}, {8,44}, {12,37}, {2,42}, {18,42}, {2,45}, {23,32}, {19,33}, {3,34}, {14,33}, {2,34}, {9,48}, {7,56}, {9,29}, {14,36}, {5,50}, {9,26}, {19,30}, {9,27}, {22,55}, {8,41}, {12,46}, {2,37}, {12,44}, {19,29}, {11,51}, {17,51}, {4,42}, {2,39}, {17,39}, {1,31}, {16,52}, {23,34}, {2,53}, {7,43}, {11,31}, {21,44}, {19,38}, {6,43}, {4,33}, {10,31}, {3,51}, {15,42}, {13,49}, {18,55}, {2,48}, {22,51}, {10,40}, {12,43}, {1,29}, {7,50}, {23,37}, {8,36}, {18,43}, {24,45}, {11,29}, {5,30}, {14,47}, {13,50}, {6,46}, {9,56}, {15,34}, {13,54}, {6,56}, {13,28}, {1,28}, {14,41}, {23,38}, {18,36}, {1,33}, {21,31}, {3,29}, {16,38}, {22,43}, {15,36}, {24,35}, {16,49}, {10,51}, {18,31}, {17,52}, {12,26}, {24,40}, {24,41}, {13,30}, {10,43}, {5,41}, {21,39}, {7,47}, {17,28}, {21,56}, {12,27}, {19,46}, {22,25}, {16,45}, {8,32}, {1,49}, {5,44}, {12,40}, {20,49}, {14,34}, {11,55}, {10,32}, {18,25}, {1,25}, {6,54}, {19,45}, {22,47}, {21,50}, {13,42}, {14,25}, {23,49}, {4,37}, {22,26}, {10,35}, {6,36}, {20,34}, {1,26}, {3,48}, {11,32}, {15,33}, {24,53}, {6,38}, {4,49}, {5,27}, {8,55}, {15,28}, {16,39}, {6,52}, {12,48}, {3,28}, {7,27}, {20,41}, {8,46}, {20,53}, {21,36}, {9,46}, {17,26}, {24,46}, {19,35}, {7,35}, {16,50}, {20,54}, {13,45}, {15,30}, {5,35}, {21,28}, {24,33}, {4,39}, {19,37}, {20,32}, {24,54}, {23,30} }; // ETB56.42 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[56][42]:={ {6,48}, {8,48}, {11,53}, {17,44}, {18,39}, {11,36}, {4,27}, {12,29}, {21,45}, {11,35}, {21,48}, {16,26}, {12,45}, {4,50}, {18,46}, {21,47}, {5,38}, {2,51}, {7,55}, {7,38}, {18,50}, {1,32}, {24,27}, {12,38}, {4,31}, {21,55}, {9,49}, {21,42}, {3,35}, {12,55}, {18,54}, {9,43}, {3,37}, {22,32}, {15,43}, {23,48}, {13,47}, {9,53}, {12,34}, {1,30}, {5,32}, {8,44}, {2,54}, {13,56}, {2,45}, {15,45}, {15,29}, {5,40}, {3,46}, {20,50}, {1,38}, {14,33}, {2,34}, {2,36}, {9,29}, {17,37}, {19,30}, {16,53}, {15,40}, {1,44}, {5,29}, {8,41}, {8,47}, {24,43}, {10,52}, {2,52}, {5,43}, {11,51}, {14,40}, {7,39}, {22,41}, {10,54}, {24,39}, {24,42}, {1,31}, {19,53}, {16,52}, {7,25}, {20,31}, {10,28}, {22,27}, {2,35}, {17,33}, {11,44}, {3,44}, {20,33}, {23,26}, {4,33}, {23,41}, {22,44}, {15,42}, {18,55}, {1,29}, {19,52}, {23,37}, {8,36}, {16,32}, {21,51}, {13,50}, {17,30}, {11,30}, {9,37}, {17,27}, {12,25}, {5,49}, {15,34}, {20,28}, {6,56}, {13,28}, {4,55}, {14,41}, {23,47}, {14,37}, {18,47}, {4,54}, {10,46}, {18,36}, {20,43}, {16,48}, {16,49}, {8,26}, {17,31}, {24,40}, {21,39}, {6,51}, {20,29}, {16,51}, {19,46}, {22,25}, {11,52}, {8,32}, {17,25}, {14,49}, {1,25}, {1,53}, {17,41}, {19,56}, {6,28}, {9,30}, {13,46}, {19,49}, {13,42}, {16,56}, {23,49}, {6,42}, {22,26}, {10,35}, {3,30}, {6,45}, {20,34}, {23,46}, {10,34}, {11,32}, {13,48}, {23,56}, {10,50}, {9,33}, {6,34}, {14,43}, {15,38}, {5,26}, {15,28}, {6,52}, {10,56}, {4,25}, {7,27}, {7,45}, {22,40}, {21,36}, {3,41}, {8,51}, {2,55}, {12,31}, {3,47}, {19,35}, {13,39}, {20,54}, {9,31}, {24,33}, {3,36}, {12,54}, {4,39}, {18,35}, {7,40}, {7,42}, {19,37}, {14,27}, {24,50}, {24,28}, {5,53}, {22,38}, {14,26} }; // ETB56.43 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[56][43]:={ {17,50}, {13,52}, {6,32}, {17,35}, {4,27}, {17,56}, {23,27}, {18,32}, {1,56}, {11,25}, {14,51}, {18,46}, {9,45}, {2,51}, {7,55}, {8,28}, {15,49}, {15,31}, {21,37}, {4,29}, {5,56}, {12,41}, {23,55}, {15,44}, {9,49}, {2,27}, {12,42}, {3,35}, {12,55}, {21,35}, {3,37}, {15,48}, {19,47}, {8,39}, {16,25}, {23,48}, {24,44}, {8,25}, {2,28}, {17,40}, {12,37}, {16,29}, {10,53}, {23,39}, {10,30}, {16,30}, {6,47}, {11,38}, {3,46}, {6,31}, {21,46}, {2,36}, {1,50}, {9,47}, {3,49}, {9,32}, {19,30}, {16,53}, {22,55}, {8,41}, {12,49}, {10,52}, {17,51}, {14,40}, {4,42}, {9,41}, {2,39}, {17,39}, {10,54}, {16,52}, {4,45}, {7,43}, {11,31}, {10,28}, {22,27}, {11,44}, {23,36}, {19,38}, {20,33}, {6,30}, {6,43}, {21,26}, {10,31}, {22,44}, {6,49}, {3,51}, {9,42}, {4,52}, {16,37}, {7,30}, {7,50}, {24,26}, {13,31}, {7,53}, {23,37}, {15,41}, {8,36}, {2,32}, {7,26}, {18,43}, {11,29}, {13,44}, {19,55}, {11,30}, {9,56}, {21,25}, {23,25}, {14,42}, {1,45}, {15,34}, {13,54}, {8,56}, {20,28}, {18,26}, {18,27}, {24,34}, {14,37}, {18,47}, {18,36}, {20,43}, {5,28}, {24,35}, {10,51}, {5,42}, {12,33}, {24,40}, {10,43}, {5,41}, {17,54}, {6,51}, {17,28}, {7,47}, {11,52}, {5,54}, {22,39}, {22,33}, {12,53}, {21,29}, {14,49}, {1,46}, {19,56}, {13,27}, {13,46}, {1,35}, {22,50}, {4,40}, {8,34}, {20,26}, {8,38}, {20,34}, {1,26}, {23,46}, {3,48}, {13,48}, {14,32}, {15,33}, {19,39}, {1,47}, {6,38}, {2,40}, {16,42}, {20,36}, {22,48}, {15,38}, {19,25}, {18,45}, {12,48}, {9,38}, {24,29}, {20,41}, {14,35}, {20,53}, {22,40}, {19,50}, {5,45}, {21,36}, {3,54}, {3,31}, {21,34}, {7,33}, {11,34}, {13,45}, {1,54}, {2,43}, {24,33}, {4,44}, {5,52}, {4,32}, {24,50}, {5,53}, {14,29}, {16,55} }; // ETB56.44 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[56][44]:={ {8,48}, {17,50}, {10,25}, {6,32}, {17,36}, {4,27}, {21,45}, {18,48}, {16,33}, {23,27}, {10,37}, {1,56}, {4,50}, {14,39}, {5,55}, {12,32}, {18,38}, {16,31}, {8,33}, {3,25}, {20,40}, {1,40}, {7,54}, {5,56}, {9,44}, {4,31}, {21,55}, {8,52}, {23,54}, {23,55}, {15,44}, {9,49}, {13,35}, {24,51}, {14,31}, {8,39}, {7,34}, {22,32}, {15,54}, {23,48}, {2,41}, {13,47}, {12,34}, {18,41}, {17,40}, {13,29}, {12,37}, {12,50}, {23,44}, {21,52}, {13,56}, {2,45}, {15,45}, {19,28}, {19,33}, {6,47}, {3,34}, {15,56}, {11,38}, {6,40}, {2,36}, {7,56}, {14,36}, {9,32}, {9,26}, {22,34}, {8,41}, {11,49}, {19,29}, {11,51}, {14,40}, {8,45}, {22,35}, {2,39}, {24,42}, {1,31}, {19,53}, {4,45}, {2,53}, {10,28}, {15,27}, {21,44}, {18,49}, {4,33}, {21,26}, {10,31}, {24,52}, {6,49}, {24,32}, {9,42}, {18,55}, {16,37}, {12,43}, {7,50}, {7,53}, {23,37}, {14,48}, {18,43}, {15,53}, {6,44}, {19,41}, {4,48}, {5,46}, {12,28}, {14,42}, {13,25}, {1,28}, {23,47}, {18,47}, {9,51}, {4,43}, {21,31}, {3,29}, {3,26}, {22,43}, {5,28}, {24,35}, {17,52}, {12,33}, {11,54}, {13,30}, {10,43}, {10,55}, {4,36}, {5,41}, {7,47}, {17,28}, {21,56}, {22,39}, {12,53}, {20,49}, {11,55}, {18,25}, {17,29}, {19,51}, {20,25}, {1,25}, {1,46}, {11,46}, {5,51}, {20,46}, {22,47}, {7,29}, {19,36}, {9,30}, {13,27}, {21,50}, {20,48}, {24,38}, {16,34}, {20,37}, {11,26}, {10,35}, {3,30}, {16,35}, {10,27}, {8,38}, {1,26}, {14,44}, {15,51}, {13,41}, {20,42}, {14,52}, {16,42}, {9,36}, {16,46}, {3,42}, {16,39}, {3,38}, {24,29}, {11,45}, {8,46}, {23,50}, {3,54}, {17,26}, {6,39}, {6,37}, {6,53}, {2,30}, {20,54}, {15,30}, {5,35}, {22,30}, {1,34}, {2,43}, {24,33}, {17,32}, {7,40}, {5,52}, {19,27}, {2,49}, {22,38} }; // ETB56.45 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 384 EdgesBipt[56][45]:={ {8,48}, {17,50}, {10,25}, {17,35}, {18,39}, {11,36}, {2,46}, {21,45}, {18,48}, {13,40}, {21,48}, {24,48}, {4,30}, {11,25}, {8,30}, {21,47}, {12,32}, {7,38}, {8,54}, {8,33}, {24,27}, {3,43}, {7,44}, {10,26}, {5,56}, {14,38}, {21,55}, {12,41}, {15,44}, {9,49}, {13,53}, {3,35}, {12,55}, {5,47}, {15,47}, {12,35}, {14,50}, {13,47}, {24,36}, {2,28}, {1,30}, {5,32}, {20,30}, {18,34}, {14,54}, {13,56}, {23,52}, {16,30}, {15,29}, {15,56}, {11,33}, {6,31}, {1,38}, {1,50}, {9,29}, {19,40}, {9,32}, {5,50}, {24,37}, {1,44}, {5,29}, {8,41}, {12,46}, {8,47}, {24,43}, {12,49}, {10,52}, {19,29}, {14,30}, {7,46}, {11,51}, {22,35}, {2,39}, {22,56}, {16,52}, {19,53}, {23,34}, {2,53}, {7,43}, {10,28}, {11,44}, {1,51}, {3,44}, {20,33}, {23,41}, {22,44}, {15,42}, {22,51}, {16,37}, {17,43}, {9,50}, {13,31}, {7,53}, {23,42}, {23,35}, {2,32}, {15,53}, {24,45}, {11,29}, {6,46}, {9,56}, {9,37}, {4,48}, {12,28}, {10,42}, {4,55}, {18,27}, {14,37}, {9,51}, {1,33}, {10,45}, {3,26}, {16,38}, {15,36}, {16,49}, {18,31}, {7,31}, {5,41}, {17,54}, {21,39}, {17,28}, {19,46}, {9,40}, {5,54}, {16,45}, {6,27}, {18,25}, {20,25}, {1,25}, {17,41}, {22,31}, {10,39}, {13,42}, {19,32}, {22,50}, {23,49}, {4,37}, {3,53}, {14,45}, {4,40}, {8,34}, {5,33}, {20,26}, {4,51}, {11,27}, {20,52}, {6,45}, {20,34}, {1,26}, {22,49}, {4,34}, {10,36}, {15,33}, {23,56}, {19,43}, {2,47}, {6,25}, {20,42}, {6,38}, {4,49}, {2,40}, {18,51}, {12,52}, {14,43}, {8,55}, {16,46}, {3,42}, {6,52}, {24,29}, {11,48}, {3,28}, {7,27}, {20,41}, {21,36}, {23,31}, {18,40}, {17,26}, {6,39}, {2,55}, {13,34}, {7,35}, {13,39}, {21,28}, {17,32}, {3,36}, {19,37}, {19,27}, {24,54}, {16,55}, {21,54}, {22,38}, {14,26} }; // ETB56.46 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2304 EdgesBipt[56][46]:={ {2,44}, {16,41}, {9,28}, {18,39}, {18,29}, {23,29}, {17,38}, {23,27}, {15,46}, {4,53}, {18,32}, {12,56}, {4,50}, {22,37}, {8,43}, {2,51}, {15,49}, {22,46}, {24,55}, {1,32}, {3,43}, {3,25}, {20,40}, {1,40}, {9,44}, {23,54}, {15,44}, {12,42}, {13,53}, {3,35}, {21,35}, {13,35}, {22,32}, {7,51}, {7,36}, {9,53}, {13,29}, {12,37}, {11,50}, {2,42}, {13,55}, {16,43}, {18,37}, {19,33}, {4,38}, {3,34}, {6,40}, {20,50}, {14,33}, {2,36}, {9,48}, {10,38}, {12,36}, {8,41}, {12,46}, {8,47}, {24,43}, {2,52}, {23,45}, {14,30}, {8,45}, {11,51}, {7,39}, {7,32}, {10,54}, {16,52}, {19,53}, {2,53}, {11,31}, {2,35}, {17,33}, {11,44}, {21,27}, {19,38}, {3,44}, {4,47}, {21,26}, {10,31}, {22,44}, {6,49}, {15,42}, {9,42}, {3,32}, {19,52}, {23,37}, {9,25}, {7,26}, {15,50}, {6,33}, {15,53}, {5,30}, {19,55}, {21,25}, {17,27}, {4,48}, {5,46}, {12,28}, {15,34}, {17,48}, {24,49}, {13,25}, {6,56}, {8,56}, {4,55}, {18,26}, {1,28}, {24,34}, {14,41}, {23,47}, {18,47}, {23,38}, {20,51}, {10,46}, {1,33}, {3,29}, {22,43}, {8,37}, {5,28}, {24,56}, {17,31}, {24,41}, {5,41}, {17,54}, {17,28}, {16,51}, {17,25}, {12,40}, {21,29}, {14,49}, {1,39}, {21,30}, {5,36}, {1,25}, {22,28}, {19,45}, {6,54}, {22,31}, {9,30}, {20,48}, {19,49}, {16,56}, {6,42}, {14,45}, {16,36}, {4,51}, {16,35}, {10,27}, {6,45}, {1,26}, {10,34}, {11,32}, {19,39}, {20,42}, {10,49}, {14,52}, {10,50}, {9,33}, {20,47}, {11,47}, {5,27}, {8,55}, {5,26}, {18,45}, {13,38}, {6,52}, {11,48}, {23,31}, {1,48}, {3,31}, {21,34}, {18,40}, {24,46}, {13,34}, {20,56}, {7,35}, {13,39}, {11,43}, {2,30}, {20,54}, {15,30}, {22,36}, {7,52}, {5,37}, {21,41}, {12,54}, {4,39}, {7,40}, {14,27}, {8,29}, {24,50}, {16,55}, {14,26} }; // ETB56.47 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[56][47]:={ {16,41}, {10,25}, {13,32}, {9,28}, {6,32}, {2,46}, {21,45}, {16,26}, {23,27}, {12,45}, {17,47}, {4,53}, {18,32}, {12,56}, {11,25}, {18,46}, {22,37}, {21,47}, {7,48}, {5,38}, {22,53}, {8,42}, {18,38}, {20,27}, {22,46}, {24,55}, {1,32}, {23,28}, {20,40}, {7,44}, {1,40}, {5,56}, {14,38}, {15,44}, {9,43}, {13,35}, {24,51}, {24,30}, {7,34}, {11,41}, {16,25}, {7,36}, {9,53}, {20,30}, {8,31}, {2,54}, {12,50}, {2,42}, {18,34}, {16,30}, {19,28}, {15,29}, {15,56}, {14,33}, {2,36}, {7,56}, {9,47}, {10,38}, {3,49}, {17,37}, {19,26}, {9,26}, {9,27}, {22,55}, {12,36}, {1,44}, {4,41}, {8,41}, {24,43}, {12,49}, {10,52}, {2,52}, {16,54}, {19,29}, {8,45}, {14,40}, {5,25}, {17,39}, {24,39}, {2,35}, {17,33}, {11,44}, {15,27}, {21,44}, {20,33}, {6,55}, {6,43}, {9,54}, {10,29}, {23,41}, {2,48}, {4,52}, {12,43}, {7,30}, {24,26}, {3,39}, {13,31}, {6,33}, {14,48}, {19,42}, {18,43}, {15,53}, {6,50}, {24,45}, {14,55}, {21,51}, {14,47}, {6,44}, {15,35}, {4,48}, {5,46}, {13,54}, {8,35}, {13,28}, {24,34}, {3,27}, {23,38}, {18,36}, {4,28}, {20,43}, {3,29}, {16,48}, {21,38}, {16,49}, {18,31}, {10,51}, {17,52}, {13,30}, {17,28}, {22,39}, {11,39}, {1,49}, {8,40}, {12,53}, {10,32}, {20,25}, {1,25}, {11,46}, {6,54}, {1,53}, {19,56}, {22,31}, {10,39}, {19,49}, {1,37}, {20,35}, {19,32}, {22,50}, {6,42}, {4,40}, {3,30}, {4,51}, {2,29}, {11,27}, {20,52}, {23,33}, {4,34}, {13,51}, {15,51}, {23,56}, {1,47}, {10,50}, {12,52}, {22,48}, {8,55}, {8,49}, {5,26}, {17,45}, {13,37}, {5,45}, {23,50}, {21,36}, {23,31}, {3,31}, {18,40}, {9,46}, {7,33}, {17,42}, {3,47}, {11,34}, {16,50}, {19,34}, {7,37}, {5,35}, {5,37}, {21,41}, {15,55}, {11,42}, {3,36}, {14,29}, {21,54}, {14,26} }; // ETB56.48 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 192 EdgesBipt[56][48]:={ {8,48}, {17,44}, {4,27}, {17,56}, {21,45}, {18,48}, {4,26}, {12,51}, {17,38}, {15,46}, {1,56}, {14,39}, {5,55}, {9,45}, {8,54}, {19,44}, {16,31}, {21,37}, {20,27}, {1,27}, {3,43}, {7,41}, {7,44}, {23,55}, {13,53}, {19,47}, {24,51}, {14,31}, {24,30}, {8,39}, {7,34}, {22,32}, {11,41}, {24,44}, {3,52}, {8,25}, {2,41}, {12,34}, {9,35}, {8,31}, {12,37}, {2,54}, {11,50}, {15,25}, {16,43}, {18,37}, {6,29}, {13,56}, {2,45}, {16,30}, {23,32}, {5,40}, {21,46}, {10,38}, {9,29}, {3,49}, {19,40}, {14,36}, {5,50}, {15,32}, {19,30}, {9,27}, {24,37}, {22,34}, {22,55}, {4,41}, {11,49}, {10,52}, {14,40}, {5,25}, {2,39}, {22,56}, {7,32}, {3,56}, {16,52}, {20,31}, {23,36}, {15,27}, {19,38}, {20,33}, {6,30}, {4,47}, {23,26}, {4,33}, {24,52}, {9,42}, {10,40}, {12,43}, {7,30}, {3,39}, {19,52}, {23,42}, {15,41}, {23,35}, {7,26}, {15,50}, {15,53}, {11,29}, {13,44}, {21,51}, {14,47}, {6,44}, {19,41}, {9,37}, {17,49}, {8,53}, {5,48}, {13,25}, {13,28}, {18,26}, {1,28}, {18,47}, {18,36}, {1,33}, {18,33}, {1,43}, {4,46}, {22,43}, {12,33}, {11,54}, {10,43}, {10,55}, {17,54}, {21,39}, {7,47}, {17,28}, {16,45}, {12,30}, {20,49}, {21,29}, {11,55}, {20,25}, {17,29}, {5,36}, {1,25}, {22,28}, {5,51}, {6,28}, {13,27}, {13,46}, {20,48}, {24,38}, {16,34}, {20,35}, {7,28}, {23,49}, {4,37}, {6,42}, {14,45}, {22,26}, {2,29}, {16,35}, {6,45}, {10,36}, {11,32}, {24,53}, {2,47}, {20,42}, {21,53}, {2,40}, {18,51}, {10,50}, {9,33}, {12,52}, {6,34}, {8,49}, {16,39}, {13,38}, {12,48}, {10,56}, {3,38}, {14,35}, {19,50}, {23,31}, {1,48}, {3,54}, {3,31}, {18,40}, {9,46}, {8,51}, {24,46}, {17,42}, {22,36}, {1,34}, {15,55}, {6,35}, {11,42}, {4,32}, {5,53}, {2,50}, {21,54}, {14,26} }; // ETB56.49 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[56][49]:={ {8,48}, {2,33}, {17,44}, {4,27}, {21,45}, {18,48}, {21,48}, {16,33}, {16,26}, {2,56}, {23,27}, {15,46}, {17,47}, {10,37}, {4,53}, {12,56}, {11,25}, {16,40}, {18,46}, {22,37}, {14,39}, {5,38}, {2,51}, {12,32}, {7,55}, {8,42}, {8,28}, {18,50}, {9,55}, {20,27}, {22,46}, {12,38}, {7,44}, {23,55}, {21,42}, {22,52}, {13,53}, {5,47}, {9,43}, {24,51}, {22,32}, {21,43}, {12,35}, {14,50}, {7,36}, {3,52}, {8,27}, {2,54}, {21,49}, {13,55}, {10,53}, {15,25}, {2,45}, {3,34}, {15,56}, {6,40}, {1,38}, {9,47}, {20,55}, {9,29}, {19,40}, {17,37}, {14,36}, {15,32}, {4,41}, {8,41}, {12,44}, {11,51}, {7,46}, {7,39}, {9,41}, {24,39}, {1,31}, {16,52}, {23,34}, {23,36}, {21,44}, {19,38}, {20,33}, {6,43}, {9,54}, {15,42}, {7,30}, {24,26}, {3,39}, {13,31}, {7,53}, {18,30}, {18,43}, {6,50}, {14,47}, {19,41}, {4,48}, {17,49}, {12,28}, {5,49}, {23,25}, {13,54}, {6,56}, {23,38}, {10,45}, {3,29}, {16,48}, {1,43}, {4,46}, {24,56}, {24,35}, {18,31}, {17,52}, {12,33}, {24,41}, {4,36}, {17,54}, {20,29}, {11,52}, {8,32}, {5,31}, {1,49}, {12,30}, {14,49}, {21,30}, {19,51}, {20,25}, {1,25}, {22,28}, {11,46}, {16,44}, {6,54}, {5,51}, {22,47}, {19,36}, {22,31}, {10,39}, {1,35}, {1,37}, {22,50}, {11,26}, {23,40}, {3,30}, {5,33}, {8,34}, {20,26}, {16,35}, {18,28}, {10,27}, {1,26}, {23,33}, {10,34}, {15,51}, {19,39}, {24,53}, {13,41}, {10,49}, {6,25}, {2,47}, {2,40}, {11,40}, {10,50}, {9,36}, {3,55}, {14,43}, {15,38}, {5,26}, {18,45}, {3,42}, {24,29}, {11,48}, {3,28}, {20,53}, {13,37}, {5,45}, {6,37}, {13,34}, {19,35}, {17,42}, {20,56}, {13,45}, {15,30}, {19,34}, {9,31}, {7,52}, {6,35}, {17,32}, {11,42}, {16,28}, {4,44}, {14,27}, {8,29}, {4,32}, {14,29}, {2,50}, {21,54} }; // ETB56.50 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3072 EdgesBipt[56][50]:={ {13,32}, {6,32}, {18,39}, {11,36}, {4,27}, {13,40}, {16,33}, {12,45}, {12,56}, {21,32}, {7,48}, {14,39}, {8,43}, {16,47}, {7,38}, {19,44}, {16,31}, {18,50}, {9,55}, {24,55}, {8,33}, {7,54}, {14,38}, {22,42}, {5,47}, {19,47}, {18,56}, {2,26}, {24,30}, {7,34}, {21,43}, {12,35}, {14,50}, {15,43}, {23,48}, {24,44}, {9,53}, {24,36}, {2,28}, {12,34}, {1,30}, {20,30}, {18,34}, {13,55}, {18,42}, {21,52}, {2,45}, {16,30}, {15,45}, {15,29}, {4,38}, {3,34}, {15,56}, {6,31}, {2,36}, {9,48}, {10,38}, {3,49}, {19,40}, {9,32}, {9,26}, {1,44}, {10,52}, {11,51}, {17,51}, {4,42}, {22,41}, {5,25}, {22,56}, {10,54}, {3,56}, {10,41}, {19,53}, {10,28}, {20,31}, {11,31}, {17,33}, {11,44}, {15,27}, {21,27}, {19,38}, {6,30}, {4,33}, {3,51}, {14,53}, {10,40}, {7,53}, {23,37}, {9,25}, {23,35}, {2,32}, {18,43}, {6,50}, {24,45}, {11,29}, {21,51}, {19,55}, {15,35}, {12,47}, {17,27}, {4,48}, {15,37}, {13,25}, {8,56}, {13,54}, {13,28}, {23,47}, {4,43}, {3,29}, {22,29}, {4,46}, {15,36}, {5,28}, {17,52}, {1,52}, {12,33}, {21,39}, {16,51}, {12,27}, {23,53}, {22,25}, {5,44}, {8,40}, {22,33}, {12,30}, {20,49}, {18,25}, {1,39}, {14,49}, {17,29}, {5,36}, {1,25}, {16,44}, {19,45}, {17,41}, {20,46}, {7,29}, {6,41}, {20,48}, {1,35}, {24,38}, {1,37}, {16,34}, {20,35}, {22,50}, {23,49}, {23,40}, {3,53}, {22,26}, {4,40}, {11,37}, {18,28}, {6,45}, {13,48}, {13,41}, {10,49}, {2,47}, {2,31}, {10,50}, {14,52}, {16,42}, {20,36}, {3,55}, {8,55}, {8,49}, {5,26}, {9,39}, {7,27}, {8,46}, {1,41}, {23,31}, {3,54}, {21,34}, {9,46}, {8,51}, {17,26}, {24,46}, {6,39}, {14,46}, {6,37}, {11,43}, {20,54}, {5,35}, {21,28}, {17,32}, {11,42}, {7,42}, {19,37}, {5,52}, {24,54}, {2,50}, {14,26} }; // ETB56.51 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[56][51]:={ {2,44}, {17,50}, {13,52}, {14,56}, {9,28}, {13,32}, {4,27}, {21,45}, {23,29}, {24,48}, {2,56}, {23,27}, {12,45}, {17,47}, {4,53}, {18,46}, {14,39}, {17,53}, {2,51}, {22,53}, {16,31}, {21,37}, {8,33}, {23,28}, {20,40}, {7,54}, {21,55}, {22,42}, {15,44}, {2,27}, {18,54}, {9,43}, {18,56}, {8,39}, {22,32}, {15,47}, {21,43}, {14,50}, {10,44}, {5,32}, {14,28}, {9,35}, {8,31}, {13,29}, {11,50}, {18,42}, {15,25}, {18,37}, {6,47}, {5,40}, {20,38}, {11,38}, {3,46}, {1,38}, {2,36}, {1,50}, {9,47}, {19,26}, {1,55}, {16,53}, {15,40}, {12,46}, {10,52}, {16,54}, {11,51}, {22,35}, {22,56}, {7,32}, {24,39}, {10,41}, {7,49}, {3,44}, {6,43}, {18,49}, {10,29}, {10,31}, {22,44}, {24,52}, {6,49}, {9,42}, {2,48}, {4,52}, {17,43}, {7,30}, {3,39}, {19,52}, {4,35}, {13,43}, {20,44}, {17,30}, {19,55}, {11,30}, {4,48}, {8,53}, {12,25}, {15,37}, {23,25}, {17,48}, {24,49}, {6,56}, {20,28}, {20,45}, {4,55}, {18,27}, {14,41}, {23,47}, {3,50}, {4,28}, {18,33}, {3,29}, {16,38}, {8,37}, {16,49}, {8,26}, {17,31}, {5,42}, {12,26}, {24,40}, {5,41}, {10,55}, {7,47}, {20,29}, {16,51}, {1,42}, {5,31}, {6,26}, {12,40}, {12,53}, {19,51}, {1,25}, {1,46}, {5,51}, {17,41}, {19,36}, {13,46}, {1,35}, {24,38}, {13,42}, {20,35}, {7,28}, {19,32}, {4,37}, {14,45}, {22,26}, {16,36}, {3,30}, {5,33}, {8,34}, {11,37}, {16,35}, {11,27}, {20,34}, {23,46}, {11,32}, {13,48}, {15,33}, {19,39}, {6,25}, {10,49}, {6,38}, {2,40}, {9,33}, {9,36}, {6,34}, {19,25}, {9,39}, {12,48}, {10,56}, {7,45}, {1,41}, {5,45}, {21,36}, {23,31}, {3,54}, {21,34}, {13,34}, {11,34}, {15,30}, {22,30}, {7,52}, {21,41}, {2,43}, {24,33}, {15,55}, {3,36}, {12,54}, {14,27}, {8,29}, {24,50}, {21,54}, {14,26}, {23,51} }; // ETB56.52 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[56][52]:={ {2,44}, {15,52}, {3,33}, {16,41}, {14,56}, {17,35}, {17,36}, {16,33}, {12,51}, {21,40}, {10,37}, {12,56}, {18,46}, {21,32}, {21,47}, {14,39}, {7,38}, {8,42}, {8,54}, {18,38}, {20,27}, {24,55}, {1,32}, {7,41}, {1,40}, {10,26}, {17,34}, {12,41}, {15,44}, {12,42}, {22,52}, {13,53}, {19,47}, {18,56}, {24,30}, {7,34}, {15,47}, {15,54}, {12,35}, {14,50}, {15,43}, {23,48}, {24,44}, {10,44}, {8,25}, {9,53}, {2,28}, {23,43}, {21,49}, {16,29}, {11,50}, {11,28}, {6,47}, {5,40}, {22,45}, {9,48}, {7,56}, {9,47}, {10,38}, {1,55}, {19,30}, {9,27}, {15,40}, {5,29}, {4,41}, {8,47}, {2,37}, {2,52}, {8,45}, {7,39}, {17,39}, {15,26}, {7,49}, {7,43}, {20,31}, {22,27}, {15,27}, {1,51}, {6,55}, {23,26}, {2,48}, {22,51}, {1,29}, {3,39}, {13,31}, {23,37}, {23,42}, {9,25}, {8,36}, {18,44}, {19,42}, {11,29}, {14,55}, {5,30}, {19,55}, {4,48}, {5,46}, {5,49}, {17,48}, {6,56}, {8,35}, {20,45}, {24,34}, {3,50}, {14,37}, {4,43}, {1,33}, {21,31}, {10,45}, {18,33}, {16,48}, {22,29}, {3,26}, {13,36}, {24,35}, {16,49}, {17,52}, {24,41}, {11,54}, {13,30}, {4,36}, {10,55}, {21,39}, {23,53}, {22,25}, {16,45}, {12,40}, {18,25}, {17,29}, {19,51}, {11,46}, {1,53}, {6,28}, {9,30}, {13,46}, {19,49}, {14,25}, {22,50}, {20,37}, {4,51}, {18,28}, {6,45}, {1,26}, {23,46}, {10,36}, {13,51}, {11,32}, {14,32}, {23,56}, {19,43}, {10,49}, {2,31}, {9,33}, {12,52}, {16,42}, {6,34}, {5,27}, {3,42}, {9,39}, {6,52}, {13,38}, {4,25}, {3,38}, {7,27}, {20,41}, {8,46}, {14,35}, {20,53}, {19,50}, {21,36}, {3,54}, {3,31}, {18,40}, {17,26}, {12,31}, {13,34}, {11,34}, {11,43}, {6,53}, {2,30}, {20,54}, {5,35}, {5,37}, {21,28}, {24,33}, {16,28}, {4,44}, {20,32}, {4,32}, {24,54}, {2,50}, {22,38} }; // ETB56.53 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3072 EdgesBipt[56][53]:={ {2,44}, {17,50}, {13,52}, {9,28}, {6,32}, {11,36}, {21,45}, {11,35}, {18,48}, {21,48}, {16,33}, {16,26}, {3,40}, {18,32}, {1,56}, {11,25}, {8,30}, {16,40}, {21,47}, {7,48}, {5,55}, {9,45}, {16,47}, {12,32}, {19,44}, {16,31}, {4,29}, {9,55}, {22,46}, {24,27}, {1,27}, {3,43}, {23,28}, {12,38}, {20,40}, {17,34}, {8,52}, {12,41}, {23,55}, {21,42}, {21,35}, {2,26}, {24,30}, {7,34}, {7,51}, {2,28}, {17,46}, {2,54}, {16,29}, {2,42}, {13,55}, {10,53}, {15,25}, {14,54}, {18,37}, {21,52}, {13,56}, {15,45}, {23,32}, {4,38}, {6,47}, {10,48}, {19,54}, {20,55}, {10,47}, {9,27}, {12,44}, {14,30}, {8,45}, {7,39}, {4,42}, {7,32}, {10,54}, {24,39}, {1,31}, {2,35}, {23,36}, {15,27}, {19,38}, {10,29}, {10,31}, {22,44}, {14,53}, {4,52}, {22,51}, {9,50}, {7,50}, {3,39}, {23,37}, {8,36}, {14,48}, {6,33}, {13,43}, {5,30}, {13,50}, {17,30}, {15,35}, {9,56}, {17,27}, {5,49}, {6,56}, {20,45}, {24,34}, {14,41}, {3,50}, {3,27}, {9,51}, {10,46}, {4,28}, {1,33}, {18,33}, {1,43}, {16,38}, {4,46}, {22,43}, {8,37}, {21,33}, {15,36}, {24,56}, {16,49}, {18,31}, {12,26}, {12,33}, {18,52}, {4,36}, {6,51}, {7,47}, {23,53}, {22,25}, {5,54}, {17,25}, {11,39}, {12,40}, {12,30}, {17,29}, {19,51}, {1,25}, {1,53}, {19,56}, {24,38}, {13,42}, {19,49}, {22,50}, {23,40}, {22,26}, {11,37}, {2,29}, {18,28}, {8,38}, {22,49}, {14,44}, {3,48}, {15,51}, {14,32}, {19,39}, {19,43}, {6,25}, {10,49}, {20,42}, {20,36}, {20,47}, {6,34}, {8,49}, {5,26}, {15,28}, {24,29}, {9,52}, {20,41}, {8,46}, {20,53}, {1,41}, {13,37}, {5,45}, {3,41}, {23,31}, {3,31}, {15,39}, {17,26}, {2,55}, {14,46}, {13,34}, {11,34}, {11,43}, {6,53}, {5,35}, {5,37}, {21,41}, {11,42}, {18,35}, {7,40}, {4,44}, {24,54} }; // ETB56.54 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[56][54]:={ {6,48}, {8,48}, {2,44}, {15,52}, {3,33}, {16,41}, {17,50}, {10,25}, {9,28}, {11,35}, {11,56}, {18,29}, {4,26}, {23,27}, {4,53}, {1,56}, {4,50}, {11,25}, {16,40}, {14,51}, {21,32}, {21,47}, {4,56}, {8,43}, {9,45}, {19,44}, {15,49}, {16,31}, {3,45}, {20,40}, {7,54}, {8,52}, {22,42}, {12,55}, {9,43}, {14,31}, {18,56}, {24,30}, {7,51}, {21,43}, {15,54}, {7,36}, {10,44}, {8,25}, {2,41}, {1,30}, {23,43}, {5,32}, {9,35}, {17,46}, {8,27}, {13,29}, {12,50}, {21,49}, {2,42}, {18,34}, {23,39}, {2,45}, {15,29}, {6,47}, {3,46}, {6,40}, {1,38}, {2,34}, {19,54}, {20,55}, {3,49}, {10,47}, {17,37}, {1,55}, {9,32}, {16,53}, {5,29}, {4,41}, {12,44}, {14,30}, {14,40}, {17,51}, {22,35}, {7,39}, {4,42}, {15,26}, {22,27}, {24,25}, {3,44}, {20,33}, {6,43}, {15,42}, {17,55}, {24,32}, {13,49}, {14,53}, {16,37}, {12,43}, {9,50}, {24,26}, {19,52}, {23,42}, {24,47}, {23,35}, {18,44}, {9,56}, {12,47}, {12,28}, {14,42}, {17,48}, {13,54}, {20,45}, {4,55}, {14,37}, {23,38}, {20,51}, {10,46}, {18,36}, {1,33}, {18,33}, {16,48}, {16,38}, {8,37}, {5,28}, {13,36}, {12,33}, {24,41}, {18,52}, {10,55}, {17,54}, {21,39}, {7,47}, {20,29}, {12,27}, {19,46}, {23,53}, {22,25}, {8,32}, {11,39}, {21,30}, {5,36}, {22,28}, {1,46}, {11,46}, {6,54}, {5,51}, {1,53}, {19,36}, {19,56}, {22,31}, {10,39}, {20,48}, {5,39}, {7,28}, {23,49}, {13,26}, {22,26}, {16,36}, {3,30}, {10,27}, {20,34}, {1,26}, {4,34}, {10,34}, {15,51}, {11,32}, {13,48}, {13,41}, {6,25}, {21,53}, {2,31}, {14,52}, {9,33}, {5,27}, {13,38}, {6,52}, {17,45}, {3,38}, {11,45}, {19,50}, {3,31}, {18,40}, {11,34}, {7,35}, {15,30}, {5,37}, {21,41}, {6,35}, {7,40}, {19,37}, {8,29}, {24,28}, {24,31}, {2,50}, {2,49}, {22,38} }; // ETB56.55 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 768 EdgesBipt[56][55]:={ {2,44}, {15,52}, {13,32}, {9,28}, {2,33}, {17,36}, {5,34}, {11,56}, {16,33}, {24,48}, {12,51}, {4,53}, {4,30}, {21,32}, {7,48}, {4,56}, {22,53}, {16,47}, {7,55}, {7,38}, {8,42}, {8,54}, {8,28}, {18,38}, {20,27}, {22,46}, {1,32}, {8,33}, {3,43}, {23,28}, {7,44}, {14,38}, {8,52}, {12,41}, {9,49}, {12,55}, {3,37}, {19,47}, {21,43}, {10,44}, {13,47}, {13,29}, {16,29}, {2,42}, {23,39}, {23,44}, {18,42}, {15,25}, {16,43}, {23,32}, {6,47}, {3,34}, {20,38}, {1,38}, {14,33}, {20,55}, {17,37}, {15,32}, {9,26}, {19,30}, {16,53}, {22,34}, {12,36}, {4,41}, {12,46}, {24,43}, {11,49}, {2,52}, {19,29}, {5,25}, {7,32}, {10,54}, {10,41}, {23,34}, {4,45}, {7,49}, {11,44}, {24,25}, {15,27}, {21,44}, {6,30}, {6,43}, {3,51}, {18,55}, {14,53}, {1,29}, {3,39}, {18,30}, {19,52}, {4,35}, {8,36}, {14,48}, {15,50}, {13,50}, {6,46}, {11,30}, {15,35}, {21,25}, {9,37}, {17,27}, {17,49}, {12,28}, {13,25}, {6,56}, {20,45}, {18,26}, {1,28}, {3,27}, {18,47}, {21,31}, {16,48}, {4,46}, {21,33}, {24,56}, {8,26}, {10,51}, {17,52}, {24,40}, {11,54}, {10,55}, {21,56}, {23,53}, {9,40}, {16,45}, {22,39}, {5,31}, {6,27}, {12,40}, {22,54}, {17,29}, {19,51}, {5,51}, {17,41}, {7,29}, {19,36}, {6,41}, {9,30}, {13,42}, {19,49}, {22,50}, {20,37}, {11,26}, {20,26}, {11,37}, {1,26}, {23,33}, {23,46}, {10,36}, {10,34}, {8,50}, {20,42}, {2,40}, {18,51}, {14,52}, {16,42}, {22,48}, {14,43}, {15,38}, {10,56}, {17,45}, {4,25}, {20,41}, {14,35}, {22,40}, {5,45}, {1,48}, {3,31}, {15,39}, {9,46}, {6,39}, {2,55}, {12,31}, {11,34}, {19,35}, {3,47}, {13,39}, {13,45}, {5,35}, {1,54}, {9,31}, {5,37}, {21,28}, {18,35}, {7,40}, {14,27}, {24,50}, {24,54}, {24,31}, {1,36}, {5,53}, {2,50}, {2,49} }; // ETB56.56 // Bipartite(24,32) Valencies [8,6] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2958148142320582656 EdgesBipt[56][56]:={ {8,48}, {11,53}, {16,41}, {17,50}, {13,52}, {4,27}, {21,45}, {16,33}, {24,48}, {12,51}, {16,40}, {7,48}, {14,39}, {2,51}, {7,55}, {15,31}, {21,37}, {18,50}, {20,27}, {22,46}, {3,45}, {8,33}, {17,34}, {10,26}, {14,38}, {23,55}, {9,49}, {2,27}, {13,53}, {3,37}, {15,48}, {14,31}, {2,26}, {15,47}, {16,25}, {12,35}, {23,48}, {8,25}, {13,29}, {2,42}, {18,34}, {23,39}, {18,42}, {14,54}, {21,52}, {23,32}, {6,47}, {15,56}, {11,38}, {3,46}, {6,31}, {2,34}, {7,56}, {1,50}, {19,54}, {15,32}, {9,26}, {19,30}, {22,55}, {15,40}, {12,36}, {5,29}, {8,41}, {12,44}, {19,29}, {14,30}, {7,39}, {9,41}, {7,32}, {19,53}, {2,35}, {17,33}, {24,25}, {21,44}, {19,38}, {6,55}, {6,30}, {9,34}, {24,32}, {9,42}, {4,52}, {12,43}, {9,50}, {4,35}, {9,25}, {18,43}, {16,32}, {11,29}, {20,44}, {13,44}, {14,55}, {14,47}, {6,46}, {11,30}, {17,49}, {12,28}, {24,49}, {8,56}, {20,28}, {13,28}, {10,42}, {18,26}, {18,27}, {23,47}, {20,51}, {4,28}, {1,33}, {4,43}, {20,43}, {3,29}, {16,48}, {5,28}, {13,36}, {24,56}, {16,49}, {10,51}, {7,31}, {24,40}, {24,41}, {11,54}, {10,43}, {4,36}, {7,47}, {12,27}, {19,46}, {8,32}, {22,39}, {1,42}, {17,25}, {1,49}, {5,44}, {8,40}, {21,29}, {22,54}, {5,36}, {1,25}, {11,46}, {6,54}, {19,45}, {17,41}, {22,47}, {22,31}, {16,56}, {20,35}, {23,40}, {3,53}, {10,35}, {3,30}, {11,37}, {4,51}, {20,52}, {10,27}, {1,26}, {10,34}, {23,56}, {21,53}, {6,38}, {10,50}, {18,51}, {9,33}, {12,52}, {20,36}, {8,49}, {3,38}, {11,45}, {1,41}, {13,37}, {5,45}, {21,36}, {23,31}, {3,54}, {15,39}, {17,26}, {6,39}, {14,46}, {17,42}, {13,45}, {22,30}, {1,34}, {5,37}, {2,43}, {21,28}, {24,33}, {15,55}, {18,35}, {7,40}, {4,44}, {19,37}, {5,52}, {5,53}, {2,50}, {22,38} }; // ETB56.57 // Bipartite(24,32) Valencies [8,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21641687369515008 EdgesBipt[56][57]:={ {6,48}, {2,44}, {17,50}, {14,56}, {6,32}, {5,34}, {18,48}, {16,26}, {4,26}, {2,56}, {17,38}, {10,37}, {18,32}, {4,50}, {18,46}, {22,37}, {8,43}, {5,38}, {22,53}, {7,55}, {18,38}, {15,31}, {20,27}, {3,43}, {7,41}, {17,34}, {12,41}, {23,55}, {13,53}, {3,35}, {21,35}, {18,54}, {9,43}, {19,47}, {18,56}, {22,32}, {15,47}, {21,43}, {15,43}, {24,44}, {24,36}, {2,28}, {14,28}, {9,35}, {17,46}, {8,27}, {13,29}, {11,50}, {10,53}, {23,39}, {19,33}, {22,45}, {10,48}, {6,40}, {21,46}, {2,36}, {14,36}, {5,50}, {9,27}, {12,36}, {12,49}, {2,52}, {12,44}, {8,45}, {14,40}, {7,39}, {4,42}, {22,56}, {16,52}, {23,34}, {7,49}, {7,25}, {11,31}, {24,25}, {15,27}, {21,27}, {6,30}, {23,26}, {9,54}, {10,29}, {24,52}, {3,51}, {13,49}, {2,48}, {4,52}, {10,40}, {1,29}, {3,39}, {18,30}, {23,42}, {13,33}, {14,48}, {2,32}, {21,51}, {5,30}, {17,30}, {19,41}, {19,55}, {6,46}, {15,35}, {5,46}, {8,53}, {12,28}, {12,25}, {1,45}, {24,49}, {13,25}, {6,56}, {8,35}, {20,45}, {19,31}, {23,47}, {3,27}, {9,51}, {20,51}, {4,28}, {1,33}, {10,45}, {20,43}, {22,29}, {8,37}, {21,38}, {5,42}, {7,31}, {12,33}, {24,41}, {4,36}, {17,54}, {7,47}, {20,29}, {5,54}, {11,39}, {1,49}, {11,55}, {10,32}, {21,30}, {1,25}, {16,44}, {6,54}, {1,53}, {9,30}, {19,49}, {1,37}, {16,34}, {20,35}, {20,37}, {11,26}, {16,36}, {14,44}, {4,34}, {15,51}, {14,32}, {19,39}, {13,41}, {6,38}, {2,40}, {14,52}, {16,42}, {12,52}, {3,55}, {11,47}, {22,48}, {19,25}, {5,26}, {9,38}, {10,56}, {20,53}, {22,40}, {1,41}, {13,37}, {23,50}, {23,31}, {3,31}, {15,39}, {18,40}, {9,46}, {8,51}, {17,26}, {7,33}, {17,42}, {3,47}, {11,34}, {16,50}, {13,45}, {24,33}, {15,55}, {11,42}, {16,28}, {4,44}, {8,29}, {24,28}, {21,54} }; // ETB56.58 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 126806761930752 EdgesBipt[56][58]:={ {15,52}, {17,50}, {4,27}, {17,56}, {11,35}, {18,29}, {12,51}, {1,56}, {16,40}, {7,48}, {9,45}, {12,32}, {7,55}, {8,54}, {19,44}, {15,49}, {21,37}, {20,27}, {22,46}, {24,55}, {1,40}, {10,26}, {17,34}, {12,41}, {23,55}, {21,42}, {13,53}, {3,35}, {15,48}, {19,47}, {2,26}, {8,39}, {21,43}, {12,35}, {14,50}, {7,36}, {23,48}, {17,40}, {14,28}, {2,42}, {23,39}, {18,42}, {11,28}, {2,45}, {23,52}, {19,28}, {23,32}, {11,38}, {21,46}, {14,33}, {2,36}, {1,50}, {19,54}, {9,29}, {10,47}, {15,32}, {16,53}, {24,37}, {22,34}, {4,41}, {10,52}, {2,52}, {5,43}, {16,54}, {14,30}, {11,51}, {7,39}, {9,41}, {7,32}, {24,39}, {7,49}, {11,31}, {11,44}, {23,36}, {21,27}, {3,44}, {19,38}, {6,30}, {10,29}, {21,26}, {10,31}, {22,44}, {9,34}, {6,49}, {3,51}, {16,37}, {12,43}, {9,50}, {1,29}, {4,35}, {9,25}, {6,33}, {6,50}, {13,43}, {5,30}, {6,44}, {6,46}, {9,56}, {4,48}, {5,46}, {8,53}, {12,25}, {1,45}, {8,56}, {10,42}, {18,26}, {19,31}, {18,47}, {20,51}, {18,36}, {4,43}, {10,45}, {20,43}, {16,38}, {8,37}, {15,36}, {24,56}, {18,31}, {5,42}, {24,40}, {11,54}, {18,52}, {13,30}, {12,27}, {9,40}, {17,25}, {8,40}, {22,33}, {14,34}, {14,49}, {21,30}, {17,29}, {19,51}, {20,25}, {1,25}, {22,28}, {17,41}, {6,28}, {13,27}, {13,46}, {20,48}, {24,38}, {13,42}, {16,56}, {20,35}, {22,50}, {23,49}, {13,26}, {4,51}, {2,29}, {8,38}, {22,49}, {23,33}, {14,44}, {10,36}, {15,33}, {24,53}, {2,47}, {21,53}, {2,31}, {6,34}, {11,47}, {5,27}, {8,55}, {5,26}, {18,45}, {16,39}, {12,48}, {17,45}, {4,25}, {3,38}, {3,28}, {20,41}, {1,41}, {13,37}, {3,54}, {15,39}, {3,31}, {14,46}, {7,33}, {3,47}, {19,35}, {22,30}, {1,34}, {7,52}, {5,37}, {15,55}, {20,32}, {4,32}, {24,54}, {5,53}, {16,55} }; // ETB56.59 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 42268920643584 EdgesBipt[56][59]:={ {6,48}, {8,48}, {3,33}, {17,50}, {13,32}, {6,32}, {2,33}, {11,36}, {4,27}, {12,29}, {5,34}, {13,40}, {18,29}, {4,26}, {12,45}, {10,37}, {17,47}, {1,56}, {4,50}, {11,25}, {16,27}, {18,46}, {21,47}, {9,45}, {8,42}, {18,38}, {15,31}, {24,55}, {1,32}, {3,43}, {3,25}, {7,44}, {1,40}, {10,26}, {17,34}, {14,38}, {21,55}, {23,54}, {22,52}, {13,53}, {3,35}, {18,54}, {9,43}, {15,48}, {19,47}, {2,26}, {24,30}, {11,41}, {15,47}, {7,51}, {7,36}, {23,48}, {2,41}, {9,53}, {14,28}, {9,35}, {20,30}, {13,29}, {12,37}, {21,49}, {2,42}, {10,53}, {11,28}, {14,54}, {16,43}, {18,37}, {13,56}, {16,30}, {23,32}, {15,56}, {2,25}, {20,38}, {11,33}, {6,40}, {2,34}, {3,49}, {9,29}, {14,36}, {5,50}, {15,32}, {9,27}, {22,55}, {15,40}, {12,36}, {11,49}, {12,44}, {16,54}, {19,29}, {14,30}, {4,42}, {17,39}, {24,39}, {19,53}, {7,43}, {11,44}, {20,33}, {6,43}, {10,29}, {22,44}, {3,51}, {17,55}, {18,30}, {4,35}, {24,47}, {19,55}, {21,25}, {9,37}, {12,28}, {18,53}, {8,56}, {6,56}, {10,42}, {19,31}, {3,27}, {23,38}, {9,51}, {4,43}, {1,33}, {21,31}, {10,45}, {16,38}, {21,33}, {5,28}, {8,26}, {17,31}, {5,42}, {21,39}, {6,51}, {16,51}, {11,52}, {8,32}, {22,39}, {6,27}, {1,49}, {5,44}, {8,40}, {12,53}, {20,49}, {20,25}, {5,36}, {1,25}, {22,28}, {19,45}, {20,46}, {22,47}, {22,31}, {24,38}, {7,28}, {23,40}, {8,34}, {4,51}, {16,35}, {14,44}, {4,34}, {23,46}, {10,34}, {8,50}, {13,48}, {23,56}, {19,39}, {14,52}, {10,50}, {12,52}, {5,26}, {16,46}, {18,45}, {7,27}, {20,41}, {1,41}, {13,37}, {3,41}, {1,48}, {15,39}, {17,26}, {24,46}, {14,46}, {17,42}, {7,35}, {20,54}, {13,45}, {22,36}, {7,52}, {21,41}, {15,55}, {6,35}, {19,37}, {5,52}, {24,54}, {24,31}, {2,50}, {2,49}, {23,30} }; // ETB56.60 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 154618822656 EdgesBipt[56][60]:={ {2,44}, {14,56}, {17,35}, {17,36}, {2,46}, {16,33}, {18,29}, {24,48}, {12,51}, {2,56}, {21,40}, {10,37}, {4,50}, {22,37}, {21,47}, {17,53}, {8,43}, {22,53}, {12,32}, {18,38}, {20,27}, {8,33}, {23,54}, {15,44}, {18,54}, {3,37}, {24,51}, {24,30}, {8,39}, {22,32}, {7,51}, {12,35}, {23,48}, {2,28}, {1,30}, {14,28}, {8,31}, {8,27}, {11,50}, {13,55}, {10,53}, {6,29}, {2,45}, {23,32}, {22,45}, {11,38}, {10,48}, {1,38}, {7,56}, {9,47}, {20,55}, {19,40}, {10,47}, {17,37}, {19,26}, {1,55}, {12,46}, {8,47}, {12,49}, {14,30}, {14,40}, {17,51}, {9,41}, {5,25}, {15,26}, {16,52}, {23,34}, {7,43}, {20,31}, {3,44}, {20,33}, {6,43}, {23,26}, {4,33}, {10,29}, {10,31}, {9,34}, {15,42}, {24,32}, {4,52}, {9,50}, {3,39}, {23,42}, {9,25}, {7,26}, {19,42}, {18,43}, {15,53}, {9,56}, {21,25}, {15,37}, {24,49}, {13,25}, {13,54}, {18,27}, {23,38}, {18,36}, {4,28}, {21,31}, {10,45}, {20,43}, {22,29}, {3,26}, {24,35}, {16,49}, {17,52}, {12,33}, {11,54}, {18,52}, {13,30}, {5,41}, {4,36}, {21,56}, {9,40}, {6,27}, {17,25}, {20,39}, {12,30}, {20,49}, {1,39}, {10,32}, {19,51}, {5,36}, {1,25}, {1,46}, {16,44}, {6,54}, {5,51}, {17,41}, {22,47}, {19,56}, {22,31}, {21,50}, {13,46}, {16,34}, {11,26}, {3,53}, {14,45}, {16,36}, {6,36}, {2,29}, {6,45}, {14,44}, {4,34}, {11,32}, {19,43}, {13,41}, {6,38}, {4,49}, {2,40}, {20,47}, {3,55}, {22,48}, {8,55}, {8,49}, {18,45}, {15,28}, {3,42}, {13,38}, {6,52}, {12,48}, {11,48}, {3,28}, {7,27}, {1,41}, {23,50}, {15,39}, {21,34}, {24,46}, {14,46}, {11,34}, {19,35}, {7,35}, {13,39}, {16,50}, {2,30}, {5,35}, {1,54}, {9,31}, {5,37}, {21,41}, {24,33}, {15,55}, {11,42}, {16,28}, {7,40}, {7,42}, {4,44}, {5,52}, {19,27}, {5,53}, {14,29} }; // ETB56.61 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 51539607552 EdgesBipt[56][61]:={ {6,48}, {8,48}, {2,44}, {15,52}, {14,56}, {9,28}, {13,32}, {6,32}, {18,39}, {11,35}, {18,48}, {18,29}, {2,56}, {18,32}, {4,50}, {8,54}, {4,29}, {1,32}, {8,33}, {3,43}, {10,26}, {9,44}, {22,42}, {23,55}, {9,49}, {10,33}, {12,42}, {22,52}, {3,35}, {13,35}, {18,56}, {14,31}, {15,54}, {15,43}, {3,52}, {13,47}, {2,28}, {12,34}, {14,28}, {12,37}, {12,50}, {21,49}, {16,29}, {11,50}, {23,39}, {6,29}, {4,38}, {20,38}, {6,40}, {21,46}, {2,36}, {7,56}, {19,40}, {14,36}, {19,30}, {24,37}, {22,55}, {5,29}, {10,52}, {2,52}, {5,43}, {16,54}, {11,51}, {14,40}, {7,46}, {9,41}, {5,25}, {24,42}, {1,31}, {19,53}, {23,34}, {4,45}, {7,43}, {15,27}, {21,44}, {1,51}, {20,33}, {6,55}, {3,51}, {18,55}, {17,43}, {7,30}, {24,26}, {13,31}, {7,53}, {24,47}, {9,25}, {23,35}, {14,47}, {15,35}, {11,30}, {21,25}, {12,47}, {17,27}, {8,53}, {13,25}, {6,56}, {10,42}, {24,34}, {3,27}, {4,54}, {4,28}, {16,38}, {8,37}, {21,33}, {15,36}, {5,42}, {12,26}, {5,41}, {10,55}, {19,46}, {16,45}, {8,32}, {22,39}, {17,25}, {11,39}, {22,33}, {12,53}, {20,49}, {11,55}, {21,30}, {17,29}, {1,25}, {11,46}, {16,44}, {17,41}, {19,56}, {9,30}, {10,39}, {1,35}, {20,48}, {16,34}, {20,37}, {22,26}, {6,45}, {8,38}, {22,49}, {14,44}, {4,34}, {23,46}, {10,36}, {13,51}, {15,51}, {13,48}, {19,43}, {24,53}, {13,41}, {10,49}, {2,47}, {1,47}, {2,40}, {2,31}, {14,52}, {9,33}, {5,27}, {15,38}, {8,49}, {5,26}, {18,45}, {17,45}, {3,38}, {7,27}, {20,53}, {1,41}, {5,45}, {23,50}, {1,48}, {3,54}, {18,40}, {9,46}, {17,26}, {6,39}, {12,31}, {17,42}, {11,34}, {16,50}, {20,54}, {7,37}, {22,36}, {21,41}, {21,28}, {3,36}, {16,28}, {7,40}, {4,44}, {19,37}, {20,32}, {19,27}, {24,50}, {24,31}, {23,30}, {23,51} }; // ETB56.62 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6291456 EdgesBipt[56][62]:={ {17,35}, {18,39}, {11,36}, {16,33}, {24,48}, {3,40}, {12,45}, {4,53}, {12,56}, {14,51}, {21,32}, {8,43}, {2,51}, {16,31}, {22,46}, {24,27}, {12,38}, {7,41}, {14,38}, {4,31}, {12,41}, {23,54}, {15,44}, {18,54}, {9,43}, {3,37}, {19,47}, {14,31}, {8,39}, {22,32}, {15,47}, {21,43}, {7,51}, {7,36}, {23,48}, {2,41}, {12,50}, {2,42}, {23,44}, {18,42}, {16,43}, {23,52}, {22,45}, {21,46}, {20,50}, {1,38}, {7,56}, {1,50}, {20,55}, {9,29}, {9,32}, {19,30}, {16,53}, {22,55}, {15,40}, {1,44}, {5,29}, {2,38}, {2,37}, {23,45}, {19,29}, {14,40}, {5,25}, {10,54}, {15,26}, {16,52}, {23,34}, {7,49}, {10,28}, {22,27}, {17,33}, {11,44}, {23,36}, {3,44}, {18,49}, {4,33}, {9,34}, {6,49}, {4,52}, {16,37}, {10,40}, {7,30}, {4,35}, {9,25}, {2,32}, {15,53}, {24,45}, {13,44}, {5,30}, {13,50}, {17,30}, {19,41}, {21,25}, {17,27}, {4,48}, {8,53}, {15,37}, {14,42}, {13,25}, {8,56}, {14,41}, {23,47}, {14,37}, {10,46}, {21,31}, {4,43}, {10,45}, {20,43}, {16,48}, {3,26}, {5,28}, {24,56}, {12,33}, {24,41}, {11,54}, {18,52}, {10,55}, {6,51}, {17,28}, {7,47}, {12,27}, {11,52}, {1,42}, {17,25}, {20,39}, {20,49}, {21,29}, {1,39}, {10,32}, {22,54}, {19,51}, {17,29}, {1,25}, {22,28}, {6,54}, {20,46}, {19,56}, {19,36}, {7,29}, {6,28}, {24,38}, {19,49}, {13,42}, {4,37}, {6,42}, {13,26}, {3,53}, {3,30}, {5,33}, {16,35}, {18,28}, {10,27}, {1,26}, {8,50}, {14,32}, {2,40}, {18,51}, {2,31}, {9,36}, {3,55}, {11,47}, {5,27}, {8,55}, {8,49}, {5,26}, {13,38}, {6,52}, {12,48}, {11,45}, {11,48}, {20,53}, {8,46}, {22,40}, {21,36}, {21,34}, {9,46}, {17,26}, {6,39}, {13,34}, {20,56}, {3,47}, {11,34}, {13,39}, {15,30}, {5,35}, {9,31}, {1,34}, {24,33}, {15,55}, {6,35}, {18,35}, {24,50} }; // ETB56.63 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 786432 EdgesBipt[56][63]:={ {11,53}, {3,33}, {6,32}, {11,56}, {23,27}, {12,45}, {18,32}, {4,50}, {18,46}, {14,39}, {8,28}, {19,44}, {3,43}, {23,28}, {20,40}, {7,44}, {12,41}, {15,44}, {9,49}, {10,33}, {12,42}, {22,52}, {21,35}, {14,31}, {24,30}, {15,47}, {12,35}, {15,43}, {2,41}, {9,53}, {5,32}, {17,40}, {9,35}, {2,54}, {21,49}, {18,34}, {11,28}, {14,54}, {16,43}, {21,52}, {4,38}, {3,34}, {5,40}, {20,38}, {22,45}, {6,31}, {1,38}, {2,36}, {7,56}, {20,55}, {19,40}, {14,36}, {15,32}, {22,34}, {22,55}, {2,37}, {10,52}, {16,54}, {19,29}, {17,51}, {8,45}, {7,39}, {22,41}, {5,25}, {2,39}, {17,39}, {24,42}, {10,41}, {11,31}, {15,27}, {3,44}, {6,55}, {10,29}, {15,42}, {13,49}, {18,55}, {2,48}, {9,50}, {7,50}, {24,26}, {3,32}, {19,52}, {4,35}, {23,37}, {24,47}, {9,25}, {13,33}, {14,48}, {13,43}, {24,45}, {21,51}, {6,46}, {11,30}, {21,25}, {12,47}, {18,53}, {15,34}, {17,48}, {5,48}, {13,25}, {8,56}, {20,28}, {13,28}, {20,45}, {1,28}, {14,41}, {23,47}, {3,27}, {14,37}, {9,51}, {4,54}, {18,36}, {4,43}, {1,33}, {10,45}, {22,29}, {1,43}, {16,38}, {4,46}, {24,35}, {8,26}, {18,31}, {5,42}, {12,26}, {24,41}, {4,36}, {10,55}, {6,51}, {23,53}, {17,25}, {1,49}, {8,40}, {22,33}, {12,30}, {21,30}, {1,25}, {16,44}, {5,51}, {20,46}, {7,29}, {19,56}, {9,30}, {21,50}, {1,37}, {5,39}, {16,36}, {6,36}, {20,26}, {11,37}, {2,29}, {11,27}, {16,35}, {8,38}, {22,49}, {10,34}, {13,48}, {15,33}, {23,56}, {19,39}, {10,49}, {21,53}, {18,51}, {2,31}, {6,34}, {11,47}, {8,55}, {5,26}, {16,46}, {3,42}, {13,38}, {9,52}, {7,27}, {8,46}, {13,37}, {19,50}, {23,31}, {1,48}, {17,26}, {17,42}, {3,47}, {20,56}, {16,50}, {6,53}, {7,52}, {17,32}, {12,54}, {7,40}, {4,44}, {19,27}, {24,54}, {14,29}, {23,30} }; // ETB56.64 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[56][64]:={ {11,53}, {17,44}, {17,36}, {12,29}, {2,46}, {11,35}, {21,48}, {16,33}, {17,38}, {12,45}, {10,37}, {11,25}, {8,30}, {16,40}, {21,32}, {22,37}, {4,56}, {22,53}, {16,47}, {7,55}, {7,38}, {8,42}, {8,54}, {15,49}, {16,31}, {4,29}, {9,55}, {20,27}, {3,45}, {24,27}, {23,28}, {7,54}, {10,26}, {5,56}, {21,55}, {15,44}, {2,27}, {5,47}, {19,47}, {22,32}, {11,41}, {23,48}, {13,47}, {24,36}, {12,34}, {20,30}, {12,50}, {13,55}, {10,53}, {23,44}, {18,42}, {11,28}, {18,37}, {21,52}, {6,29}, {16,30}, {15,45}, {23,32}, {15,29}, {3,34}, {5,40}, {14,33}, {2,34}, {2,36}, {9,48}, {10,47}, {9,32}, {12,36}, {24,43}, {2,52}, {5,43}, {12,44}, {14,30}, {11,51}, {7,39}, {22,41}, {9,41}, {22,56}, {24,42}, {4,45}, {11,44}, {21,44}, {20,33}, {4,33}, {9,54}, {10,31}, {24,52}, {14,53}, {10,40}, {1,29}, {24,26}, {3,39}, {13,31}, {3,32}, {19,52}, {9,25}, {23,35}, {7,26}, {18,43}, {6,50}, {13,50}, {19,55}, {15,35}, {4,48}, {12,28}, {18,53}, {14,42}, {1,45}, {10,42}, {18,26}, {19,31}, {18,27}, {3,50}, {14,37}, {20,51}, {1,33}, {20,43}, {3,29}, {16,49}, {8,26}, {17,52}, {7,31}, {13,30}, {17,54}, {21,39}, {7,47}, {17,28}, {22,25}, {5,31}, {17,25}, {1,49}, {20,49}, {14,49}, {1,25}, {6,54}, {5,51}, {1,53}, {17,41}, {20,46}, {19,36}, {6,41}, {13,46}, {24,38}, {1,37}, {16,56}, {20,35}, {23,40}, {4,40}, {8,34}, {11,37}, {6,45}, {8,38}, {3,48}, {8,50}, {15,51}, {15,33}, {23,56}, {19,39}, {19,43}, {6,25}, {6,38}, {4,49}, {18,51}, {12,52}, {6,34}, {3,55}, {22,48}, {5,27}, {16,46}, {15,28}, {9,39}, {9,38}, {10,56}, {8,46}, {22,40}, {1,41}, {21,36}, {14,46}, {13,34}, {13,39}, {2,30}, {5,35}, {2,43}, {21,28}, {18,35}, {7,42}, {4,32}, {19,27}, {24,54}, {2,50}, {14,26}, {23,51} }; // ETB56.65 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[56][65]:={ {15,52}, {11,53}, {17,44}, {17,36}, {4,27}, {5,34}, {21,48}, {18,29}, {21,40}, {11,25}, {21,32}, {7,48}, {4,56}, {17,53}, {8,43}, {9,45}, {12,32}, {7,38}, {8,54}, {15,31}, {3,45}, {7,54}, {14,38}, {12,39}, {23,55}, {15,44}, {2,27}, {12,42}, {12,55}, {3,37}, {13,35}, {22,32}, {11,41}, {15,47}, {23,48}, {10,44}, {8,25}, {2,41}, {20,30}, {8,27}, {12,37}, {11,50}, {23,39}, {14,54}, {6,29}, {16,30}, {23,32}, {19,33}, {6,47}, {3,34}, {2,25}, {15,56}, {6,31}, {21,46}, {14,33}, {2,36}, {7,56}, {9,47}, {19,54}, {9,29}, {10,47}, {17,37}, {1,55}, {19,26}, {5,50}, {22,55}, {15,40}, {5,29}, {8,41}, {2,37}, {2,52}, {5,43}, {19,29}, {14,30}, {22,35}, {7,32}, {1,31}, {2,53}, {10,28}, {22,27}, {24,25}, {19,38}, {20,33}, {6,55}, {18,49}, {10,31}, {9,34}, {6,49}, {4,52}, {22,51}, {9,50}, {24,47}, {7,26}, {6,33}, {19,42}, {18,43}, {20,44}, {13,44}, {11,30}, {9,56}, {4,48}, {13,54}, {20,28}, {8,35}, {13,28}, {18,27}, {14,41}, {3,50}, {18,36}, {4,43}, {18,33}, {3,29}, {3,26}, {22,43}, {15,36}, {24,56}, {10,51}, {17,52}, {12,26}, {24,40}, {24,41}, {18,52}, {4,36}, {10,55}, {17,28}, {21,56}, {16,51}, {9,40}, {22,39}, {12,53}, {20,49}, {14,49}, {1,39}, {21,30}, {1,25}, {11,46}, {16,44}, {19,45}, {5,51}, {1,53}, {20,46}, {10,39}, {21,50}, {24,38}, {13,42}, {19,49}, {1,37}, {16,34}, {14,25}, {23,49}, {13,26}, {3,53}, {4,40}, {10,35}, {11,37}, {16,35}, {20,52}, {6,45}, {8,38}, {23,33}, {23,46}, {13,51}, {1,47}, {20,36}, {22,48}, {5,27}, {16,46}, {18,45}, {15,28}, {3,42}, {13,38}, {12,48}, {1,41}, {5,45}, {21,34}, {8,51}, {17,26}, {6,39}, {14,46}, {17,42}, {11,34}, {16,50}, {5,35}, {9,31}, {2,43}, {16,28}, {7,40}, {7,42}, {4,32}, {24,54}, {24,31}, {23,30} }; // ETB56.66 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[56][66]:={ {8,48}, {11,53}, {10,25}, {14,56}, {9,28}, {4,27}, {2,46}, {21,48}, {16,26}, {18,29}, {24,48}, {8,30}, {21,32}, {17,53}, {5,38}, {7,38}, {8,54}, {15,49}, {15,31}, {3,43}, {20,40}, {7,44}, {7,54}, {5,56}, {9,44}, {12,39}, {15,44}, {21,42}, {12,55}, {3,37}, {24,51}, {15,47}, {15,54}, {12,37}, {21,49}, {16,29}, {11,50}, {13,55}, {11,28}, {18,37}, {21,52}, {10,30}, {6,29}, {19,33}, {4,38}, {6,47}, {3,34}, {5,40}, {6,31}, {2,36}, {7,56}, {17,37}, {14,36}, {9,26}, {22,34}, {5,29}, {12,46}, {2,37}, {2,52}, {5,43}, {12,44}, {14,30}, {14,40}, {7,46}, {22,41}, {22,56}, {17,39}, {24,42}, {1,31}, {10,41}, {23,34}, {2,53}, {11,31}, {22,27}, {11,44}, {4,33}, {23,41}, {21,26}, {9,34}, {17,55}, {24,32}, {9,42}, {13,49}, {2,48}, {17,43}, {9,50}, {7,30}, {24,26}, {3,32}, {23,35}, {13,33}, {2,32}, {13,44}, {19,41}, {19,55}, {9,56}, {17,27}, {4,48}, {12,28}, {18,53}, {23,25}, {8,35}, {13,28}, {20,45}, {24,34}, {14,41}, {23,47}, {3,50}, {18,47}, {3,27}, {4,54}, {10,46}, {18,36}, {4,43}, {1,33}, {22,43}, {21,33}, {24,35}, {10,51}, {18,31}, {1,52}, {18,52}, {10,55}, {6,51}, {20,29}, {16,51}, {9,40}, {22,25}, {5,54}, {16,45}, {8,32}, {1,49}, {12,53}, {12,30}, {17,29}, {1,25}, {6,54}, {10,39}, {13,42}, {19,49}, {14,25}, {7,28}, {22,50}, {13,26}, {3,53}, {10,35}, {20,26}, {11,37}, {16,35}, {20,52}, {6,45}, {8,38}, {3,48}, {15,33}, {19,39}, {19,43}, {20,42}, {1,47}, {6,38}, {4,49}, {14,52}, {16,42}, {20,36}, {11,47}, {5,27}, {15,38}, {19,25}, {18,45}, {15,28}, {16,39}, {17,45}, {8,46}, {22,40}, {1,41}, {5,45}, {23,50}, {21,36}, {23,31}, {8,51}, {14,46}, {11,34}, {20,56}, {13,39}, {2,30}, {6,35}, {7,40}, {4,32}, {19,27}, {24,50}, {1,36}, {16,55}, {23,51} }; // ETB56.67 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[56][67]:={ {8,48}, {11,53}, {17,44}, {17,56}, {11,35}, {5,34}, {10,37}, {18,46}, {22,37}, {5,38}, {22,53}, {16,47}, {8,54}, {8,28}, {16,31}, {4,29}, {9,55}, {22,46}, {24,27}, {3,43}, {21,55}, {15,44}, {12,42}, {21,42}, {5,47}, {9,43}, {19,47}, {18,56}, {7,51}, {15,54}, {23,48}, {10,44}, {2,41}, {12,34}, {17,40}, {14,28}, {8,44}, {12,50}, {13,55}, {10,53}, {18,42}, {21,52}, {6,29}, {16,30}, {15,45}, {23,32}, {19,33}, {4,38}, {15,29}, {3,34}, {2,25}, {6,40}, {21,46}, {14,33}, {2,34}, {2,36}, {1,55}, {5,50}, {9,27}, {12,36}, {24,43}, {2,52}, {5,43}, {16,54}, {11,51}, {22,56}, {24,42}, {16,52}, {19,53}, {4,45}, {7,49}, {10,28}, {11,31}, {22,27}, {17,33}, {9,54}, {10,29}, {23,41}, {21,26}, {14,53}, {2,48}, {4,52}, {10,40}, {1,29}, {24,26}, {3,39}, {18,30}, {23,35}, {7,26}, {14,48}, {2,32}, {13,44}, {13,50}, {11,30}, {12,47}, {4,48}, {17,49}, {23,25}, {1,45}, {24,49}, {13,25}, {6,56}, {13,28}, {20,45}, {19,31}, {18,26}, {3,50}, {14,37}, {3,27}, {20,51}, {4,54}, {10,45}, {3,26}, {16,38}, {22,43}, {24,56}, {12,26}, {1,52}, {7,31}, {24,40}, {4,36}, {21,39}, {6,51}, {17,28}, {7,47}, {20,29}, {5,54}, {8,32}, {5,31}, {17,25}, {14,49}, {1,39}, {21,30}, {1,25}, {11,46}, {17,41}, {6,41}, {9,30}, {20,48}, {19,49}, {20,35}, {20,37}, {23,49}, {16,36}, {8,34}, {11,37}, {6,45}, {8,38}, {23,33}, {14,44}, {8,50}, {14,32}, {19,43}, {13,41}, {6,25}, {18,51}, {12,52}, {3,55}, {11,47}, {5,27}, {15,38}, {16,46}, {15,28}, {3,42}, {9,39}, {9,38}, {10,56}, {20,53}, {22,40}, {1,41}, {21,36}, {15,39}, {18,40}, {9,46}, {7,33}, {12,31}, {13,34}, {7,35}, {13,39}, {22,30}, {24,33}, {15,55}, {6,35}, {18,35}, {7,42}, {19,37}, {20,32}, {4,32}, {19,27}, {1,36}, {2,50}, {23,51} }; // ETB56.68 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 402653184 EdgesBipt[56][68]:={ {2,44}, {15,52}, {11,53}, {13,32}, {18,39}, {11,36}, {12,29}, {2,46}, {23,29}, {21,40}, {17,38}, {12,45}, {4,30}, {16,40}, {14,51}, {17,53}, {16,47}, {8,54}, {15,49}, {16,31}, {4,29}, {20,27}, {8,33}, {24,27}, {3,43}, {7,44}, {21,55}, {21,42}, {9,43}, {3,37}, {24,51}, {14,31}, {2,26}, {22,32}, {15,43}, {23,48}, {10,44}, {2,28}, {12,34}, {13,29}, {12,50}, {11,50}, {2,42}, {13,55}, {18,37}, {16,30}, {23,32}, {6,47}, {6,31}, {9,48}, {1,50}, {19,54}, {19,40}, {17,37}, {14,36}, {9,32}, {16,53}, {9,27}, {22,34}, {1,44}, {12,46}, {24,43}, {12,49}, {23,45}, {9,41}, {5,25}, {15,26}, {24,42}, {4,45}, {10,28}, {20,31}, {15,27}, {1,51}, {3,44}, {19,38}, {6,55}, {6,30}, {18,49}, {21,26}, {15,42}, {18,55}, {2,48}, {4,52}, {16,37}, {10,40}, {24,26}, {19,52}, {4,35}, {23,37}, {9,25}, {7,26}, {14,48}, {2,32}, {14,47}, {6,46}, {21,25}, {18,53}, {5,49}, {13,54}, {8,56}, {8,35}, {20,45}, {1,28}, {24,34}, {3,27}, {20,43}, {18,33}, {4,46}, {15,36}, {5,28}, {24,35}, {7,31}, {12,33}, {10,43}, {10,55}, {4,36}, {5,41}, {17,54}, {21,39}, {7,47}, {20,29}, {21,56}, {23,53}, {11,52}, {17,25}, {11,39}, {5,44}, {8,40}, {22,33}, {12,30}, {11,55}, {20,25}, {5,36}, {1,25}, {6,54}, {17,41}, {22,47}, {7,29}, {19,36}, {19,56}, {22,31}, {9,30}, {10,39}, {1,35}, {16,56}, {7,28}, {22,50}, {23,40}, {3,53}, {5,33}, {11,37}, {4,51}, {10,27}, {8,38}, {22,49}, {13,48}, {14,32}, {15,33}, {23,56}, {6,38}, {18,51}, {14,52}, {20,47}, {22,48}, {8,49}, {16,46}, {13,38}, {10,56}, {3,38}, {3,28}, {20,41}, {7,45}, {14,35}, {1,41}, {19,50}, {3,54}, {9,46}, {8,51}, {17,26}, {6,39}, {17,42}, {11,34}, {13,39}, {2,30}, {13,45}, {19,34}, {1,34}, {21,41}, {18,35}, {7,42}, {5,52}, {24,50} }; // ETB56.69 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12582912 EdgesBipt[56][69]:={ {8,48}, {15,52}, {3,33}, {10,25}, {13,52}, {17,35}, {12,29}, {11,35}, {11,56}, {21,48}, {23,29}, {12,45}, {17,47}, {16,40}, {18,46}, {21,32}, {17,53}, {16,47}, {7,55}, {8,28}, {16,31}, {4,29}, {18,50}, {22,46}, {8,33}, {3,43}, {23,28}, {20,40}, {5,56}, {14,38}, {22,42}, {10,33}, {12,42}, {9,43}, {3,37}, {15,48}, {18,56}, {2,26}, {24,30}, {7,34}, {15,43}, {13,47}, {12,34}, {1,30}, {9,35}, {20,30}, {8,44}, {12,37}, {2,54}, {12,50}, {2,42}, {18,34}, {13,55}, {23,44}, {14,54}, {23,52}, {19,33}, {6,47}, {5,40}, {10,48}, {6,31}, {14,33}, {2,36}, {1,50}, {3,49}, {17,37}, {15,32}, {9,27}, {22,55}, {5,29}, {4,41}, {2,38}, {2,52}, {23,45}, {19,29}, {11,51}, {17,51}, {22,35}, {7,39}, {5,25}, {10,41}, {4,45}, {23,36}, {24,25}, {15,27}, {21,44}, {6,43}, {9,54}, {2,48}, {22,51}, {10,40}, {7,50}, {13,31}, {18,30}, {4,35}, {23,37}, {18,44}, {2,32}, {7,26}, {6,50}, {13,44}, {19,55}, {8,53}, {14,42}, {24,49}, {13,28}, {4,55}, {3,27}, {9,51}, {8,37}, {15,36}, {13,36}, {21,38}, {17,31}, {12,26}, {7,31}, {24,41}, {5,41}, {7,47}, {16,51}, {23,53}, {8,32}, {22,39}, {6,27}, {17,25}, {12,53}, {14,49}, {10,32}, {5,36}, {1,25}, {1,46}, {16,44}, {6,54}, {19,45}, {1,53}, {17,41}, {20,46}, {9,30}, {21,50}, {24,38}, {19,49}, {1,37}, {16,56}, {3,53}, {14,45}, {22,26}, {20,26}, {4,51}, {16,35}, {11,27}, {18,28}, {20,52}, {11,32}, {19,39}, {19,43}, {10,49}, {20,42}, {6,38}, {11,40}, {20,36}, {6,34}, {8,49}, {9,38}, {10,56}, {4,25}, {11,48}, {1,41}, {5,45}, {3,31}, {15,39}, {21,34}, {18,40}, {9,46}, {24,46}, {3,47}, {20,56}, {13,39}, {11,43}, {22,30}, {1,34}, {21,28}, {24,33}, {15,55}, {4,39}, {16,28}, {7,42}, {5,52}, {19,27}, {24,54}, {14,29}, {21,54}, {14,26} }; // ETB56.70 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6291456 EdgesBipt[56][70]:={ {8,48}, {11,53}, {3,33}, {10,25}, {17,36}, {12,29}, {2,46}, {11,35}, {5,34}, {11,56}, {13,40}, {18,48}, {18,29}, {12,45}, {18,32}, {12,56}, {4,50}, {16,40}, {14,51}, {21,47}, {4,56}, {17,53}, {2,51}, {12,32}, {21,37}, {9,55}, {18,50}, {3,43}, {23,28}, {12,38}, {7,41}, {21,55}, {8,52}, {9,49}, {13,53}, {5,47}, {9,43}, {24,51}, {14,31}, {15,54}, {7,36}, {24,44}, {8,25}, {2,41}, {9,53}, {18,34}, {23,44}, {15,25}, {13,56}, {16,30}, {4,38}, {15,56}, {2,25}, {3,46}, {21,46}, {1,38}, {10,38}, {3,49}, {17,37}, {1,55}, {19,26}, {5,50}, {16,53}, {9,27}, {22,55}, {15,40}, {5,29}, {8,41}, {10,52}, {14,30}, {8,45}, {11,51}, {17,39}, {10,54}, {1,31}, {10,41}, {7,49}, {7,43}, {7,25}, {20,31}, {2,35}, {24,25}, {22,44}, {17,55}, {2,48}, {16,37}, {1,29}, {3,32}, {19,52}, {15,41}, {8,36}, {2,32}, {19,42}, {18,43}, {16,32}, {6,50}, {13,43}, {13,50}, {14,47}, {6,44}, {15,35}, {9,37}, {14,42}, {1,45}, {24,49}, {20,45}, {18,27}, {23,47}, {3,27}, {4,54}, {4,28}, {21,31}, {16,48}, {5,28}, {24,35}, {17,52}, {24,41}, {10,55}, {21,39}, {6,51}, {20,29}, {8,32}, {22,39}, {5,31}, {5,44}, {6,26}, {22,33}, {12,40}, {1,39}, {21,30}, {22,54}, {22,28}, {19,36}, {6,28}, {13,27}, {10,39}, {16,56}, {23,49}, {11,26}, {6,42}, {4,40}, {3,30}, {20,26}, {11,37}, {20,52}, {22,49}, {23,33}, {4,34}, {23,46}, {10,36}, {3,48}, {15,51}, {19,43}, {20,42}, {21,53}, {1,47}, {11,40}, {9,33}, {20,36}, {20,47}, {6,34}, {15,38}, {16,46}, {18,45}, {9,39}, {12,48}, {7,27}, {14,35}, {13,37}, {19,50}, {5,45}, {23,31}, {17,26}, {14,46}, {7,33}, {13,34}, {17,42}, {2,30}, {19,34}, {1,54}, {7,52}, {24,33}, {6,35}, {11,42}, {12,54}, {4,44}, {8,29}, {19,27}, {24,28}, {22,38}, {14,26}, {23,30} }; // ETB56.71 // Bipartite(24,32) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 25165824 EdgesBipt[56][71]:={ {10,25}, {2,33}, {17,35}, {11,36}, {4,27}, {2,46}, {12,29}, {11,56}, {16,33}, {16,26}, {23,29}, {21,40}, {3,40}, {12,45}, {4,50}, {14,51}, {7,48}, {5,55}, {5,38}, {15,31}, {21,37}, {18,50}, {24,55}, {3,25}, {12,38}, {20,40}, {7,44}, {8,52}, {23,54}, {21,42}, {9,43}, {13,35}, {19,47}, {18,56}, {2,26}, {22,32}, {15,47}, {15,54}, {13,47}, {9,53}, {20,30}, {17,46}, {2,42}, {18,34}, {13,55}, {11,28}, {18,37}, {21,52}, {10,30}, {6,29}, {15,45}, {15,29}, {6,47}, {3,34}, {10,48}, {6,31}, {1,38}, {9,47}, {19,26}, {1,55}, {9,26}, {9,27}, {12,36}, {4,41}, {2,37}, {23,45}, {12,44}, {19,29}, {14,30}, {7,46}, {8,45}, {17,51}, {22,41}, {17,39}, {7,32}, {3,56}, {24,39}, {24,42}, {10,41}, {16,52}, {23,34}, {7,49}, {2,53}, {17,33}, {11,44}, {1,51}, {6,43}, {23,41}, {21,26}, {22,44}, {17,55}, {9,42}, {14,53}, {7,30}, {24,26}, {13,31}, {3,32}, {19,52}, {4,35}, {24,47}, {8,36}, {19,42}, {18,43}, {6,50}, {13,43}, {17,30}, {9,37}, {17,49}, {12,28}, {18,53}, {5,49}, {23,25}, {24,49}, {8,56}, {19,31}, {18,27}, {3,50}, {14,37}, {23,38}, {10,46}, {4,43}, {5,28}, {16,49}, {10,51}, {21,56}, {22,25}, {11,52}, {5,54}, {6,27}, {5,44}, {8,40}, {1,39}, {10,32}, {22,54}, {1,25}, {22,28}, {16,44}, {19,45}, {20,46}, {19,36}, {13,27}, {1,35}, {20,48}, {5,39}, {7,28}, {20,37}, {10,35}, {16,36}, {8,34}, {5,33}, {4,51}, {6,45}, {4,34}, {3,48}, {8,50}, {13,51}, {11,32}, {21,53}, {11,40}, {16,42}, {12,52}, {6,34}, {22,48}, {14,43}, {15,38}, {4,25}, {11,48}, {14,35}, {20,53}, {1,41}, {23,50}, {21,36}, {3,41}, {15,39}, {18,40}, {14,46}, {7,33}, {20,56}, {13,39}, {2,30}, {1,54}, {9,31}, {24,33}, {15,55}, {12,54}, {16,28}, {20,32}, {14,27}, {8,29}, {24,31}, {2,49}, {22,38} }; // ETB56.72 // Bipartite(28,28) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2688 EdgesBipt[56][72]:={ {2,44}, {8,48}, {11,53}, {14,56}, {6,32}, {11,36}, {12,29}, {17,56}, {13,40}, {11,56}, {16,33}, {23,29}, {24,48}, {12,51}, {21,40}, {17,38}, {4,53}, {1,56}, {4,50}, {25,39}, {8,42}, {25,38}, {28,45}, {21,37}, {27,48}, {9,55}, {24,55}, {1,32}, {12,38}, {7,41}, {7,44}, {7,54}, {17,34}, {14,38}, {15,44}, {10,33}, {3,35}, {28,32}, {28,49}, {21,35}, {18,54}, {9,43}, {19,47}, {24,51}, {26,33}, {22,32}, {15,47}, {7,51}, {14,50}, {15,43}, {10,44}, {3,52}, {13,47}, {23,43}, {17,40}, {27,44}, {9,35}, {8,31}, {28,43}, {14,54}, {21,52}, {2,45}, {16,30}, {19,33}, {28,56}, {20,38}, {22,45}, {10,48}, {20,50}, {21,46}, {14,33}, {2,34}, {27,54}, {7,56}, {10,38}, {3,49}, {19,40}, {10,47}, {9,32}, {5,50}, {19,30}, {25,53}, {22,34}, {22,55}, {5,29}, {26,29}, {17,51}, {4,42}, {28,50}, {17,39}, {23,34}, {7,49}, {2,53}, {7,43}, {20,31}, {2,35}, {23,36}, {21,44}, {4,47}, {23,41}, {27,31}, {24,52}, {6,49}, {25,41}, {13,49}, {12,43}, {1,29}, {13,31}, {26,37}, {18,30}, {23,42}, {24,47}, {23,35}, {8,36}, {19,42}, {6,33}, {18,43}, {16,32}, {14,55}, {5,30}, {19,55}, {19,41}, {11,30}, {9,37}, {18,53}, {15,37}, {14,42}, {17,48}, {24,49}, {25,45}, {9,51}, {18,36}, {10,46}, {4,43}, {10,45}, {26,34}, {18,33}, {3,29}, {16,48}, {22,29}, {4,46}, {8,37}, {15,36}, {18,31}, {5,42}, {1,52}, {27,42}, {12,33}, {11,54}, {18,52}, {13,30}, {21,56}, {28,40}, {16,51}, {25,32}, {16,45}, {8,32}, {28,36}, {11,39}, {5,44}, {8,40}, {12,40}, {20,39}, {20,49}, {22,54}, {27,41}, {17,29}, {1,46}, {25,42}, {20,46}, {22,47}, {19,56}, {6,41}, {22,31}, {9,30}, {13,46}, {1,37}, {20,35}, {5,39}, {4,51}, {16,35}, {4,34}, {23,46}, {10,36}, {3,48}, {8,50}, {24,53}, {13,41}, {21,53}, {1,47}, {6,38}, {2,40}, {2,31}, {12,52}, {6,34}, {25,52}, {3,55}, {15,38}, {16,46}, {9,39}, {27,51}, {27,37}, {11,48}, {26,44}, {7,45}, {14,35}, {5,45}, {3,41}, {15,39}, {2,55}, {12,31}, {6,37}, {11,34}, {13,39}, {6,53}, {20,54}, {1,54}, {26,49}, {26,50}, {15,55}, {3,36}, {5,52}, {24,50}, {26,30} }; // ETB56.73 // Bipartite(28,28) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2688 EdgesBipt[56][73]:={ {13,32}, {6,32}, {17,44}, {12,29}, {21,45}, {5,34}, {13,40}, {18,29}, {17,47}, {10,37}, {8,30}, {16,40}, {14,51}, {7,48}, {14,39}, {17,53}, {5,55}, {22,53}, {25,56}, {7,55}, {7,38}, {19,44}, {18,38}, {15,31}, {18,50}, {9,55}, {8,33}, {3,43}, {20,40}, {7,41}, {28,48}, {7,54}, {14,38}, {9,44}, {21,55}, {23,54}, {15,44}, {9,49}, {25,33}, {10,33}, {21,42}, {22,52}, {15,48}, {19,47}, {24,30}, {7,34}, {11,41}, {15,43}, {23,48}, {2,41}, {13,47}, {23,43}, {9,35}, {28,35}, {8,31}, {13,29}, {12,37}, {12,50}, {2,42}, {23,39}, {14,54}, {10,30}, {13,56}, {2,45}, {23,52}, {16,30}, {28,56}, {20,38}, {11,38}, {3,46}, {6,40}, {21,46}, {26,45}, {9,48}, {1,50}, {19,54}, {17,37}, {28,47}, {25,53}, {27,30}, {2,38}, {8,47}, {11,49}, {27,29}, {2,52}, {11,51}, {22,35}, {4,42}, {22,41}, {2,39}, {3,56}, {24,42}, {26,40}, {4,45}, {7,49}, {2,35}, {11,44}, {28,54}, {18,49}, {10,31}, {25,54}, {24,32}, {9,42}, {28,41}, {4,52}, {10,40}, {1,29}, {18,30}, {3,32}, {8,36}, {6,33}, {6,50}, {13,43}, {24,45}, {19,41}, {15,35}, {12,47}, {27,38}, {4,48}, {15,37}, {14,42}, {17,48}, {24,49}, {8,56}, {6,56}, {27,36}, {24,34}, {14,41}, {3,50}, {27,49}, {9,51}, {20,51}, {4,54}, {10,46}, {26,36}, {1,33}, {26,34}, {1,43}, {22,43}, {21,38}, {16,49}, {17,31}, {17,52}, {25,37}, {10,43}, {25,35}, {20,29}, {16,51}, {23,53}, {11,52}, {5,54}, {8,32}, {22,39}, {27,55}, {26,55}, {5,44}, {22,33}, {28,33}, {12,40}, {12,53}, {12,30}, {21,29}, {14,34}, {1,46}, {5,51}, {26,32}, {1,53}, {17,41}, {20,46}, {22,47}, {19,56}, {27,32}, {21,50}, {13,46}, {3,53}, {16,36}, {6,36}, {3,30}, {20,34}, {14,44}, {4,34}, {10,36}, {15,33}, {23,56}, {19,39}, {19,43}, {20,42}, {1,47}, {4,49}, {18,51}, {26,51}, {16,42}, {25,52}, {16,46}, {18,45}, {9,39}, {11,45}, {11,48}, {28,31}, {13,37}, {5,45}, {21,36}, {23,31}, {3,31}, {15,39}, {18,40}, {24,46}, {2,55}, {12,31}, {6,37}, {7,35}, {6,53}, {5,35}, {27,34}, {26,50}, {4,39}, {19,37}, {20,32}, {8,29}, {5,52}, {24,50}, {25,44}, {1,36}, {16,55} }; // ETB56.74 // Bipartite(28,28) Valencies [8,8] // Diameter 7 Girth 4 // Has twins VT AT // Automorphism group of order 589000163448720457728 EdgesBipt[56][74]:={ {6,48}, {2,44}, {15,52}, {2,33}, {17,35}, {17,56}, {18,48}, {16,33}, {17,38}, {12,56}, {16,40}, {14,51}, {21,32}, {14,39}, {8,43}, {2,51}, {16,47}, {12,32}, {15,31}, {21,37}, {27,48}, {3,45}, {7,44}, {5,56}, {9,44}, {12,39}, {8,52}, {23,54}, {25,33}, {12,42}, {22,52}, {3,35}, {28,32}, {18,54}, {11,41}, {7,51}, {12,35}, {26,53}, {15,43}, {3,52}, {18,41}, {5,32}, {8,31}, {13,29}, {2,54}, {18,34}, {13,55}, {23,44}, {6,29}, {16,30}, {15,45}, {15,29}, {22,45}, {11,33}, {20,50}, {21,46}, {1,38}, {1,50}, {9,47}, {20,55}, {10,38}, {3,49}, {4,41}, {12,46}, {12,49}, {2,37}, {27,29}, {10,52}, {16,54}, {14,30}, {8,45}, {7,46}, {7,39}, {7,32}, {3,56}, {24,42}, {28,44}, {1,31}, {19,53}, {21,44}, {25,34}, {6,55}, {4,47}, {6,43}, {4,33}, {9,54}, {10,31}, {24,52}, {25,54}, {25,41}, {28,53}, {14,53}, {18,55}, {26,35}, {16,37}, {1,29}, {7,30}, {7,53}, {23,37}, {8,36}, {15,50}, {19,42}, {25,48}, {6,50}, {13,43}, {24,45}, {21,51}, {13,50}, {9,37}, {4,48}, {17,49}, {5,46}, {28,37}, {5,49}, {1,45}, {24,49}, {27,36}, {10,42}, {4,55}, {26,56}, {23,47}, {14,37}, {18,47}, {9,51}, {4,54}, {10,45}, {20,43}, {18,33}, {22,29}, {1,43}, {22,43}, {15,36}, {13,36}, {24,56}, {24,35}, {17,31}, {5,42}, {17,52}, {1,52}, {25,40}, {26,42}, {11,54}, {21,39}, {20,29}, {16,51}, {19,46}, {9,40}, {25,47}, {27,55}, {12,53}, {11,55}, {21,30}, {27,41}, {16,44}, {26,32}, {19,56}, {25,55}, {6,41}, {22,31}, {9,30}, {20,48}, {24,38}, {19,49}, {5,39}, {19,32}, {22,50}, {28,30}, {28,51}, {23,40}, {28,39}, {4,40}, {10,35}, {6,36}, {8,38}, {20,34}, {23,33}, {14,44}, {4,34}, {8,50}, {13,48}, {14,32}, {19,39}, {13,41}, {10,49}, {2,47}, {21,53}, {2,40}, {11,40}, {9,33}, {20,36}, {6,34}, {28,46}, {11,47}, {15,38}, {3,42}, {10,56}, {17,45}, {3,38}, {26,39}, {11,48}, {20,41}, {27,43}, {26,46}, {3,31}, {18,40}, {14,46}, {13,34}, {11,34}, {17,42}, {19,35}, {2,30}, {7,37}, {5,35}, {22,36}, {27,34}, {26,49}, {27,50}, {8,29}, {24,31}, {1,36}, {5,53}, {22,38}, {23,30}, {23,51} }; // ETB56.75 // Bipartite(28,28) Valencies [8,8] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 180388626432 EdgesBipt[56][75]:={ {11,53}, {17,50}, {14,56}, {2,33}, {17,44}, {17,36}, {12,29}, {11,35}, {13,40}, {16,33}, {24,48}, {12,51}, {17,38}, {10,37}, {18,32}, {12,56}, {25,39}, {16,40}, {18,46}, {21,47}, {9,45}, {22,53}, {16,47}, {7,38}, {8,42}, {19,44}, {18,38}, {15,31}, {21,37}, {22,46}, {3,43}, {28,48}, {22,42}, {9,49}, {12,42}, {13,53}, {5,47}, {25,29}, {18,54}, {19,47}, {24,51}, {28,55}, {8,39}, {22,32}, {15,47}, {7,51}, {15,43}, {3,52}, {18,41}, {5,32}, {27,44}, {9,35}, {12,37}, {2,54}, {21,52}, {23,52}, {15,45}, {15,29}, {4,38}, {19,33}, {28,56}, {10,48}, {20,50}, {2,34}, {27,54}, {2,36}, {20,55}, {1,55}, {19,30}, {24,37}, {25,53}, {27,30}, {4,41}, {11,49}, {28,34}, {23,45}, {16,54}, {26,29}, {14,30}, {7,39}, {22,56}, {26,40}, {28,44}, {1,31}, {27,40}, {3,44}, {25,34}, {6,55}, {10,31}, {27,31}, {6,49}, {24,32}, {9,42}, {28,41}, {18,55}, {2,48}, {4,52}, {17,43}, {12,43}, {1,29}, {13,31}, {26,37}, {7,53}, {23,42}, {15,41}, {23,35}, {8,36}, {14,48}, {25,48}, {6,50}, {24,45}, {11,29}, {13,44}, {14,55}, {21,51}, {5,30}, {17,30}, {9,56}, {5,46}, {8,53}, {5,49}, {14,42}, {1,45}, {27,53}, {13,54}, {8,56}, {4,55}, {24,34}, {26,56}, {14,41}, {3,50}, {23,38}, {20,51}, {4,54}, {10,46}, {1,33}, {10,45}, {3,29}, {16,48}, {1,43}, {4,46}, {21,33}, {21,38}, {10,51}, {17,52}, {26,42}, {18,52}, {13,30}, {25,35}, {21,39}, {6,51}, {7,47}, {19,46}, {8,32}, {22,39}, {11,39}, {5,44}, {26,54}, {27,45}, {12,40}, {20,49}, {14,34}, {10,32}, {17,29}, {28,42}, {25,49}, {6,41}, {19,49}, {16,34}, {20,35}, {19,32}, {22,50}, {28,30}, {20,37}, {23,49}, {4,40}, {25,43}, {16,36}, {6,36}, {3,30}, {5,33}, {14,44}, {10,34}, {8,50}, {15,33}, {23,56}, {2,47}, {21,53}, {1,47}, {2,40}, {26,51}, {20,36}, {9,38}, {3,38}, {9,52}, {11,48}, {20,41}, {8,46}, {1,41}, {27,39}, {23,31}, {18,40}, {24,46}, {7,33}, {6,37}, {26,43}, {11,34}, {19,35}, {13,39}, {16,50}, {11,43}, {13,45}, {7,37}, {5,35}, {22,36}, {9,31}, {7,52}, {15,55}, {6,35}, {3,36}, {12,54}, {4,32}, {24,31}, {2,50} }; // ETB56.76 // Bipartite(20,36) Valencies [9,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[56][76]:={ {17,50}, {10,24}, {6,32}, {11,36}, {12,29}, {5,34}, {13,40}, {16,26}, {4,26}, {12,51}, {17,38}, {10,37}, {12,56}, {11,25}, {4,30}, {14,39}, {2,51}, {7,38}, {8,42}, {15,49}, {16,31}, {4,29}, {1,27}, {3,43}, {7,41}, {7,54}, {12,39}, {4,31}, {15,44}, {10,33}, {12,42}, {3,35}, {19,47}, {14,31}, {2,26}, {15,47}, {1,21}, {7,36}, {15,43}, {3,52}, {8,25}, {9,53}, {12,34}, {18,41}, {17,40}, {8,44}, {17,46}, {18,42}, {11,28}, {18,37}, {13,56}, {2,45}, {19,33}, {14,23}, {2,25}, {15,56}, {10,48}, {20,50}, {1,38}, {2,34}, {1,50}, {9,32}, {5,50}, {9,26}, {19,30}, {9,27}, {12,46}, {12,49}, {10,52}, {7,46}, {19,22}, {4,45}, {2,53}, {10,28}, {14,24}, {20,31}, {11,44}, {3,44}, {6,30}, {6,43}, {4,33}, {5,23}, {9,54}, {13,22}, {3,51}, {17,55}, {1,29}, {7,53}, {15,41}, {16,32}, {11,23}, {6,24}, {14,55}, {13,50}, {11,30}, {9,56}, {17,49}, {5,49}, {18,53}, {8,22}, {5,48}, {8,35}, {10,42}, {13,28}, {1,28}, {3,27}, {18,47}, {20,43}, {16,48}, {16,38}, {18,31}, {17,52}, {16,22}, {13,30}, {10,55}, {20,29}, {19,46}, {9,40}, {11,52}, {8,21}, {17,25}, {8,40}, {1,39}, {5,36}, {6,54}, {6,41}, {18,23}, {1,37}, {15,21}, {7,28}, {19,32}, {4,37}, {11,26}, {14,45}, {4,40}, {16,36}, {20,52}, {2,22}, {14,44}, {3,48}, {10,34}, {13,51}, {13,48}, {15,33}, {8,24}, {13,41}, {6,25}, {1,47}, {20,24}, {4,49}, {18,51}, {16,42}, {20,36}, {11,47}, {16,39}, {3,38}, {7,45}, {20,53}, {5,45}, {3,54}, {6,39}, {14,46}, {2,55}, {7,33}, {6,37}, {19,35}, {20,56}, {5,21}, {19,34}, {5,35}, {2,43}, {15,55}, {17,32}, {9,21}, {12,54}, {18,35}, {9,23}, {14,27}, {8,29}, {19,27} }; // ETB56.77 // Bipartite(20,36) Valencies [9,5] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 261213880320 EdgesBipt[56][77]:={ {16,41}, {17,50}, {10,24}, {17,35}, {4,27}, {11,35}, {15,24}, {3,40}, {17,38}, {17,47}, {18,32}, {16,27}, {4,56}, {2,23}, {8,43}, {5,55}, {12,22}, {15,31}, {20,27}, {3,43}, {19,24}, {7,41}, {7,54}, {5,56}, {14,38}, {9,49}, {10,33}, {12,55}, {15,48}, {18,56}, {1,21}, {19,48}, {14,50}, {15,43}, {3,52}, {2,28}, {12,34}, {5,32}, {17,40}, {9,35}, {8,44}, {8,31}, {16,29}, {10,53}, {6,22}, {18,37}, {6,29}, {16,30}, {2,25}, {5,40}, {10,48}, {11,33}, {1,38}, {14,33}, {1,50}, {9,47}, {14,21}, {14,36}, {16,53}, {12,36}, {12,46}, {2,37}, {2,52}, {5,43}, {16,54}, {19,29}, {19,22}, {17,23}, {15,26}, {10,41}, {19,53}, {14,24}, {2,35}, {18,49}, {9,54}, {10,29}, {10,21}, {9,42}, {13,49}, {12,43}, {7,30}, {7,53}, {11,21}, {9,25}, {18,44}, {14,48}, {15,50}, {11,23}, {1,23}, {20,44}, {19,41}, {6,46}, {11,30}, {9,37}, {8,22}, {1,45}, {13,25}, {8,56}, {13,54}, {3,50}, {20,22}, {20,51}, {1,33}, {10,45}, {3,26}, {15,36}, {5,28}, {17,52}, {11,54}, {18,52}, {13,30}, {6,51}, {17,28}, {16,51}, {19,46}, {8,32}, {5,31}, {6,27}, {5,44}, {20,39}, {18,25}, {20,46}, {7,29}, {19,36}, {6,41}, {9,30}, {13,27}, {1,35}, {13,42}, {4,37}, {14,45}, {8,34}, {4,51}, {18,28}, {20,34}, {1,26}, {10,36}, {13,51}, {2,47}, {1,47}, {4,49}, {2,40}, {16,42}, {6,34}, {3,55}, {11,47}, {15,38}, {8,55}, {16,39}, {12,48}, {4,25}, {3,38}, {11,45}, {12,24}, {3,28}, {7,45}, {8,46}, {13,37}, {3,31}, {18,40}, {17,26}, {6,39}, {7,33}, {12,31}, {20,56}, {13,39}, {6,53}, {19,34}, {15,55}, {11,42}, {4,39}, {7,42}, {9,23}, {4,44}, {20,32}, {7,21}, {5,52}, {4,32}, {2,49}, {14,26} }; // ETB56.78 // Bipartite(28,28) Valencies [9,9] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 8064 EdgesBipt[56][78]:={ {11,53}, {15,52}, {13,52}, {14,56}, {28,52}, {18,39}, {2,46}, {11,35}, {13,40}, {11,56}, {18,48}, {16,33}, {12,51}, {2,56}, {17,38}, {25,51}, {12,45}, {1,56}, {25,39}, {16,40}, {18,46}, {21,32}, {17,53}, {26,47}, {5,55}, {8,43}, {15,49}, {16,31}, {18,38}, {27,47}, {27,48}, {4,29}, {24,55}, {1,32}, {3,45}, {3,43}, {12,38}, {20,40}, {7,41}, {28,48}, {9,44}, {4,31}, {21,55}, {12,41}, {22,42}, {23,54}, {15,44}, {21,42}, {25,50}, {5,47}, {25,29}, {18,54}, {14,31}, {26,33}, {11,41}, {19,48}, {12,35}, {14,50}, {7,36}, {27,33}, {9,53}, {23,43}, {5,32}, {17,40}, {9,35}, {17,46}, {28,35}, {2,42}, {18,37}, {21,52}, {10,30}, {13,56}, {2,45}, {23,52}, {15,45}, {23,32}, {6,47}, {5,40}, {15,56}, {20,38}, {14,33}, {9,47}, {19,54}, {10,38}, {19,40}, {10,47}, {17,37}, {1,55}, {14,36}, {19,30}, {22,34}, {22,55}, {15,40}, {1,44}, {8,41}, {24,43}, {27,29}, {12,44}, {19,29}, {28,50}, {2,39}, {7,32}, {17,39}, {10,54}, {3,56}, {1,31}, {10,41}, {16,52}, {19,53}, {23,34}, {4,45}, {7,49}, {7,43}, {11,44}, {3,44}, {25,34}, {6,55}, {6,43}, {18,49}, {10,31}, {24,52}, {6,49}, {24,32}, {28,41}, {13,49}, {2,48}, {26,48}, {16,37}, {28,29}, {1,29}, {3,39}, {13,31}, {18,30}, {3,32}, {23,42}, {8,36}, {13,44}, {13,50}, {17,30}, {11,30}, {9,56}, {4,48}, {17,49}, {5,49}, {15,34}, {8,35}, {4,55}, {27,52}, {14,37}, {9,51}, {18,36}, {4,43}, {10,45}, {26,34}, {3,29}, {4,46}, {22,43}, {8,37}, {15,36}, {21,38}, {10,51}, {5,42}, {11,54}, {25,35}, {6,51}, {7,47}, {20,29}, {23,53}, {25,47}, {8,32}, {16,45}, {1,42}, {8,40}, {22,33}, {28,33}, {12,53}, {14,34}, {14,49}, {1,39}, {21,30}, {22,54}, {27,41}, {17,29}, {1,46}, {16,44}, {5,51}, {26,41}, {20,46}, {19,36}, {6,41}, {9,30}, {21,50}, {20,48}, {24,38}, {19,49}, {22,50}, {28,51}, {20,37}, {6,42}, {14,45}, {25,46}, {16,36}, {6,36}, {23,33}, {3,48}, {15,33}, {19,39}, {24,53}, {21,53}, {2,31}, {26,51}, {20,36}, {25,52}, {28,46}, {11,47}, {27,35}, {8,55}, {3,42}, {9,38}, {10,56}, {26,39}, {11,45}, {20,53}, {13,37}, {27,39}, {26,46}, {21,34}, {8,51}, {2,55}, {12,31}, {6,37}, {13,34}, {7,35}, {16,50}, {20,54}, {5,35}, {22,30}, {27,34}, {9,31}, {5,37}, {2,43}, {24,33}, {26,50}, {12,54}, {7,40}, {7,42}, {4,44}, {4,32}, {24,50}, {24,54}, {22,38}, {23,30} }; // ETB56.79 // Bipartite(28,28) Valencies [9,9] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1008 EdgesBipt[56][79]:={ {6,52}, {7,48}, {10,37}, {16,47}, {14,36}, {9,32}, {23,29}, {26,46}, {5,43}, {25,47}, {14,38}, {17,42}, {26,49}, {15,44}, {14,50}, {17,33}, {4,31}, {8,40}, {21,30}, {14,31}, {24,54}, {16,55}, {14,56}, {15,41}, {28,52}, {4,37}, {4,40}, {23,44}, {10,48}, {13,40}, {27,54}, {2,33}, {4,38}, {11,29}, {10,42}, {27,36}, {20,38}, {19,40}, {2,34}, {22,37}, {12,48}, {18,32}, {15,32}, {16,49}, {8,46}, {28,31}, {8,37}, {26,39}, {24,46}, {20,49}, {23,54}, {23,36}, {6,39}, {25,34}, {11,39}, {7,33}, {19,48}, {12,40}, {20,29}, {13,47}, {2,48}, {5,37}, {27,32}, {21,50}, {26,35}, {24,45}, {24,31}, {9,56}, {20,35}, {28,30}, {9,35}, {1,29}, {6,46}, {6,44}, {20,55}, {17,47}, {5,50}, {2,29}, {14,32}, {16,40}, {26,36}, {27,30}, {6,34}, {1,43}, {9,29}, {8,42}, {22,43}, {6,51}, {3,38}, {3,43}, {21,55}, {18,56}, {9,46}, {26,42}, {1,42}, {19,38}, {3,31}, {7,53}, {5,53}, {11,42}, {2,30}, {28,42}, {15,50}, {8,48}, {26,41}, {22,49}, {2,44}, {1,30}, {12,56}, {18,51}, {1,47}, {20,51}, {22,56}, {19,30}, {10,55}, {27,37}, {18,38}, {3,29}, {11,52}, {13,36}, {13,53}, {12,41}, {20,54}, {13,45}, {11,46}, {22,30}, {12,30}, {4,33}, {7,50}, {7,34}, {25,41}, {23,51}, {13,56}, {23,56}, {5,39}, {22,45}, {13,29}, {14,52}, {5,40}, {25,45}, {12,45}, {4,34}, {17,38}, {26,31}, {9,52}, {21,32}, {10,52}, {1,44}, {15,49}, {24,35}, {24,43}, {1,48}, {16,31}, {16,45}, {23,34}, {21,39}, {7,52}, {6,43}, {24,51}, {8,32}, {19,34}, {16,44}, {4,44}, {2,54}, {21,49}, {17,41}, {12,43}, {3,53}, {18,41}, {10,40}, {11,56}, {14,47}, {8,36}, {24,49}, {13,44}, {6,47}, {25,43}, {10,50}, {11,30}, {3,50}, {19,39}, {27,47}, {4,46}, {25,36}, {25,39}, {2,31}, {16,38}, {21,33}, {20,53}, {3,54}, {7,47}, {12,53}, {10,41}, {23,55}, {12,39}, {28,54}, {17,34}, {21,35}, {28,33}, {28,36}, {18,49}, {15,55}, {7,51}, {22,33}, {15,48}, {1,53}, {19,35}, {5,51}, {24,52}, {11,41}, {9,50}, {22,51}, {13,35}, {7,42}, {2,50}, {28,56}, {21,29}, {8,44}, {19,32}, {18,53}, {5,55}, {8,35}, {10,45}, {17,45}, {9,45}, {17,37}, {16,52}, {15,36}, {25,35}, {15,31}, {6,55}, {27,42}, {11,55}, {27,43}, {20,40}, {25,54}, {26,33}, {14,53}, {1,46}, {3,37}, {22,32}, {23,41}, {4,39}, {28,51}, {18,34}, {18,48}, {17,49}, {3,46}, {19,54}, {5,33}, {9,37}, {27,38} }; // ETB56.80 // Bipartite(16,40) Valencies [10,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[56][80]:={ {6,48}, {10,24}, {2,24}, {9,28}, {13,21}, {4,24}, {16,26}, {4,26}, {3,40}, {15,46}, {12,45}, {4,30}, {16,27}, {8,43}, {12,32}, {7,38}, {8,42}, {8,54}, {8,33}, {3,25}, {10,23}, {1,40}, {14,38}, {4,19}, {2,19}, {12,41}, {9,49}, {12,42}, {15,48}, {2,26}, {7,34}, {12,35}, {8,25}, {2,41}, {8,44}, {4,23}, {13,29}, {2,54}, {11,50}, {10,53}, {3,18}, {16,43}, {15,29}, {4,38}, {6,47}, {6,21}, {3,34}, {5,40}, {11,33}, {1,17}, {3,49}, {14,36}, {5,29}, {12,46}, {8,47}, {9,19}, {10,52}, {2,52}, {11,51}, {5,25}, {3,56}, {1,31}, {11,22}, {7,49}, {11,44}, {1,51}, {3,44}, {10,31}, {13,22}, {3,51}, {15,19}, {13,49}, {13,18}, {2,48}, {9,50}, {7,30}, {11,21}, {4,35}, {15,41}, {6,33}, {5,18}, {14,55}, {7,17}, {6,46}, {9,56}, {12,47}, {5,46}, {8,53}, {15,37}, {13,28}, {4,55}, {3,27}, {9,51}, {4,28}, {15,17}, {13,36}, {5,42}, {1,52}, {9,22}, {7,31}, {11,54}, {10,43}, {10,55}, {8,32}, {1,42}, {11,39}, {6,26}, {12,30}, {14,34}, {1,39}, {10,32}, {5,36}, {16,44}, {1,53}, {7,29}, {13,27}, {14,20}, {14,25}, {5,39}, {16,21}, {16,56}, {4,37}, {3,53}, {14,45}, {7,23}, {6,36}, {5,33}, {10,34}, {15,22}, {16,20}, {14,32}, {9,17}, {2,47}, {13,38}, {10,56}, {9,52}, {11,48}, {12,24}, {8,20}, {7,45}, {14,35}, {1,41}, {13,37}, {5,45}, {15,39}, {12,31}, {6,37}, {6,20}, {16,50}, {15,30}, {1,54}, {2,43}, {6,35}, {16,28}, {7,40}, {9,23}, {14,27}, {11,18}, {16,55}, {2,50} }; // ETB56.81 // Bipartite(16,40) Valencies [10,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[56][81]:={ {2,44}, {10,25}, {1,20}, {5,17}, {2,24}, {13,52}, {6,32}, {4,27}, {11,56}, {4,26}, {4,50}, {16,27}, {14,51}, {7,48}, {4,56}, {2,23}, {5,55}, {3,45}, {3,43}, {3,25}, {10,23}, {12,38}, {1,40}, {12,39}, {2,19}, {12,41}, {9,43}, {14,31}, {2,26}, {7,34}, {1,21}, {15,47}, {12,35}, {15,54}, {7,36}, {15,43}, {2,28}, {12,34}, {14,28}, {9,35}, {2,54}, {11,50}, {16,29}, {2,42}, {10,22}, {13,55}, {3,18}, {10,30}, {15,45}, {16,30}, {4,38}, {15,56}, {1,38}, {14,33}, {1,17}, {9,48}, {9,29}, {16,53}, {1,44}, {8,47}, {11,49}, {2,52}, {5,43}, {16,54}, {11,51}, {7,46}, {11,22}, {1,22}, {6,30}, {10,31}, {3,51}, {15,42}, {13,49}, {9,50}, {13,31}, {8,36}, {6,33}, {11,23}, {6,50}, {6,44}, {15,35}, {12,47}, {12,28}, {15,37}, {1,45}, {5,48}, {13,25}, {13,54}, {15,20}, {10,42}, {14,41}, {3,27}, {14,37}, {8,26}, {16,22}, {6,51}, {14,17}, {8,32}, {8,21}, {5,44}, {12,19}, {12,30}, {3,23}, {14,49}, {10,32}, {5,36}, {1,46}, {11,46}, {7,29}, {13,46}, {5,39}, {16,21}, {16,56}, {4,37}, {3,53}, {4,40}, {10,35}, {10,17}, {3,24}, {10,36}, {15,33}, {8,24}, {2,40}, {6,34}, {11,47}, {8,55}, {8,49}, {8,18}, {6,52}, {9,38}, {11,19}, {4,25}, {9,52}, {11,48}, {8,20}, {7,27}, {1,41}, {3,41}, {9,24}, {7,33}, {13,34}, {5,19}, {6,20}, {13,39}, {6,53}, {13,45}, {9,31}, {5,37}, {9,21}, {4,39}, {16,28}, {7,40}, {7,42}, {4,32}, {12,18}, {5,53}, {14,29}, {16,55}, {14,26}, {7,18} }; // ETB56.82 // Bipartite(16,40) Valencies [10,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[56][82]:={ {6,48}, {16,41}, {10,24}, {13,32}, {11,35}, {14,19}, {16,26}, {12,45}, {16,27}, {8,30}, {7,48}, {6,17}, {5,55}, {12,22}, {8,42}, {8,54}, {4,29}, {8,33}, {10,23}, {7,44}, {14,38}, {4,31}, {2,19}, {15,44}, {9,49}, {12,42}, {13,53}, {3,37}, {2,26}, {8,39}, {7,51}, {15,43}, {8,25}, {13,47}, {8,44}, {16,29}, {10,53}, {3,18}, {16,43}, {6,21}, {15,56}, {11,33}, {1,38}, {1,17}, {3,49}, {14,36}, {5,50}, {15,32}, {5,29}, {2,38}, {12,46}, {12,49}, {2,52}, {5,43}, {14,40}, {5,25}, {3,56}, {11,22}, {11,31}, {15,27}, {4,33}, {5,23}, {6,49}, {15,19}, {10,21}, {9,42}, {2,48}, {1,29}, {7,30}, {3,39}, {11,21}, {4,35}, {9,25}, {15,41}, {7,26}, {5,18}, {13,50}, {7,17}, {12,47}, {5,46}, {12,28}, {15,34}, {13,54}, {6,56}, {15,20}, {13,28}, {4,55}, {9,20}, {1,28}, {14,41}, {3,27}, {9,51}, {4,54}, {6,23}, {9,22}, {13,30}, {10,43}, {10,55}, {6,51}, {12,27}, {8,32}, {16,45}, {3,19}, {14,22}, {13,24}, {11,24}, {14,34}, {11,55}, {10,32}, {16,44}, {1,53}, {1,35}, {13,42}, {14,20}, {1,37}, {16,17}, {4,37}, {6,36}, {3,48}, {10,34}, {2,47}, {2,40}, {11,40}, {10,50}, {14,52}, {9,36}, {5,26}, {16,46}, {4,18}, {13,38}, {10,56}, {4,25}, {9,52}, {11,45}, {12,24}, {8,20}, {7,45}, {14,35}, {1,41}, {3,31}, {15,39}, {9,46}, {8,51}, {7,33}, {6,37}, {12,31}, {11,34}, {3,47}, {6,53}, {2,30}, {2,18}, {1,54}, {4,39}, {16,28}, {7,40}, {9,23}, {7,21}, {5,52}, {1,36}, {2,50} }; // ETB56.83 // Bipartite(16,40) Valencies [10,4] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 176120502681600000000 EdgesBipt[56][83]:={ {8,48}, {11,53}, {16,41}, {13,52}, {4,27}, {13,21}, {15,24}, {16,33}, {3,22}, {12,51}, {16,40}, {7,48}, {14,39}, {2,51}, {7,55}, {15,31}, {3,45}, {8,33}, {10,26}, {14,38}, {4,19}, {2,19}, {9,49}, {2,27}, {13,53}, {5,20}, {3,37}, {15,48}, {14,31}, {2,26}, {15,47}, {16,25}, {12,35}, {8,25}, {13,29}, {2,42}, {6,22}, {14,54}, {6,47}, {14,23}, {15,56}, {11,38}, {3,46}, {6,31}, {2,34}, {1,17}, {7,56}, {1,50}, {1,18}, {15,32}, {16,24}, {9,26}, {12,20}, {12,36}, {15,40}, {5,29}, {8,41}, {12,44}, {14,30}, {7,39}, {9,41}, {7,32}, {11,22}, {2,35}, {6,55}, {6,30}, {9,34}, {9,42}, {4,52}, {12,43}, {9,50}, {8,17}, {11,21}, {4,35}, {9,25}, {16,32}, {11,29}, {13,44}, {14,55}, {14,47}, {6,46}, {11,30}, {12,28}, {8,56}, {13,28}, {10,42}, {4,28}, {1,33}, {4,43}, {3,29}, {6,23}, {16,48}, {5,28}, {13,36}, {10,51}, {16,49}, {7,31}, {11,54}, {10,43}, {4,36}, {7,47}, {12,27}, {8,32}, {1,42}, {14,22}, {1,49}, {5,44}, {12,19}, {8,40}, {5,36}, {3,21}, {1,25}, {11,46}, {6,54}, {16,17}, {16,56}, {3,53}, {10,35}, {7,23}, {3,30}, {9,18}, {11,37}, {4,51}, {10,27}, {1,26}, {10,34}, {10,18}, {9,17}, {8,24}, {6,38}, {10,50}, {9,33}, {12,52}, {8,49}, {10,19}, {3,38}, {11,45}, {4,20}, {15,23}, {1,41}, {13,37}, {5,45}, {7,24}, {3,54}, {15,39}, {6,39}, {14,46}, {5,21}, {13,45}, {13,20}, {2,18}, {1,34}, {5,37}, {2,43}, {15,55}, {7,40}, {4,44}, {5,52}, {5,53}, {2,50} }; // ETB56.84 // Bipartite(16,40) Valencies [10,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49533891379200000000 EdgesBipt[56][84]:={ {16,41}, {10,25}, {1,20}, {5,17}, {11,20}, {14,56}, {13,32}, {11,36}, {4,27}, {13,21}, {11,35}, {5,34}, {13,40}, {14,19}, {15,24}, {16,33}, {4,30}, {14,51}, {16,40}, {8,28}, {15,31}, {9,55}, {3,45}, {4,19}, {12,39}, {8,52}, {10,33}, {12,42}, {13,53}, {12,55}, {3,37}, {15,48}, {2,26}, {8,39}, {7,34}, {15,47}, {7,51}, {16,25}, {3,52}, {12,34}, {8,44}, {8,31}, {13,29}, {12,50}, {2,42}, {10,22}, {6,22}, {11,28}, {10,30}, {6,29}, {13,56}, {2,45}, {4,38}, {6,21}, {15,56}, {2,34}, {1,17}, {9,47}, {4,22}, {10,38}, {5,50}, {15,32}, {16,24}, {15,40}, {1,44}, {8,47}, {2,37}, {11,51}, {14,40}, {5,25}, {10,54}, {10,41}, {2,53}, {7,43}, {14,24}, {11,44}, {3,44}, {6,30}, {9,54}, {3,20}, {7,50}, {4,35}, {8,36}, {14,48}, {7,26}, {5,18}, {16,32}, {6,46}, {12,47}, {5,49}, {1,28}, {4,54}, {10,46}, {4,43}, {1,33}, {3,29}, {16,48}, {4,46}, {16,49}, {5,42}, {12,26}, {1,52}, {9,22}, {5,41}, {11,52}, {12,23}, {13,24}, {1,49}, {8,23}, {3,21}, {1,25}, {6,54}, {9,30}, {16,17}, {16,56}, {3,53}, {2,21}, {5,33}, {10,17}, {4,51}, {2,29}, {11,27}, {6,45}, {13,48}, {14,32}, {10,49}, {6,38}, {14,43}, {8,55}, {5,26}, {9,39}, {9,38}, {11,19}, {3,28}, {8,20}, {7,27}, {15,23}, {14,35}, {1,41}, {13,37}, {15,39}, {9,46}, {12,31}, {6,37}, {7,35}, {11,43}, {6,53}, {13,45}, {2,18}, {9,31}, {7,19}, {15,55}, {3,36}, {7,42}, {9,23}, {14,27}, {12,18}, {1,36}, {2,50}, {7,18} }; // ETB56.85 // Bipartite(16,40) Valencies [10,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 167772160 EdgesBipt[56][85]:={ {11,17}, {2,44}, {3,33}, {10,25}, {1,20}, {5,17}, {2,24}, {13,52}, {13,32}, {6,32}, {2,46}, {13,21}, {14,19}, {4,24}, {3,22}, {3,40}, {12,45}, {8,30}, {7,48}, {14,39}, {7,38}, {8,42}, {15,31}, {8,33}, {1,27}, {12,38}, {1,40}, {10,26}, {4,19}, {16,19}, {9,49}, {12,55}, {5,20}, {2,26}, {12,35}, {15,54}, {7,36}, {15,43}, {8,25}, {1,30}, {14,28}, {2,54}, {11,50}, {16,29}, {13,56}, {4,38}, {6,21}, {5,40}, {14,33}, {2,34}, {1,17}, {7,56}, {1,50}, {3,49}, {9,29}, {10,47}, {7,20}, {14,21}, {16,24}, {9,26}, {5,43}, {11,51}, {8,45}, {3,56}, {16,52}, {11,22}, {11,31}, {2,35}, {6,55}, {6,43}, {5,23}, {10,29}, {9,54}, {3,20}, {9,34}, {14,53}, {12,43}, {13,31}, {14,48}, {16,32}, {6,24}, {6,44}, {11,30}, {9,56}, {12,47}, {4,48}, {8,53}, {12,25}, {15,37}, {8,22}, {15,34}, {8,35}, {13,28}, {14,41}, {9,51}, {4,54}, {10,46}, {4,28}, {15,17}, {10,45}, {3,29}, {6,23}, {13,36}, {16,49}, {16,22}, {5,41}, {7,47}, {12,27}, {11,52}, {12,23}, {1,46}, {16,44}, {6,41}, {10,39}, {1,37}, {14,25}, {7,28}, {3,53}, {15,18}, {14,45}, {5,33}, {11,37}, {10,27}, {1,26}, {4,34}, {8,50}, {13,51}, {15,51}, {11,32}, {13,48}, {13,41}, {10,49}, {1,47}, {9,36}, {16,42}, {15,38}, {8,55}, {3,42}, {4,18}, {16,39}, {6,52}, {10,19}, {7,27}, {15,23}, {9,46}, {2,55}, {5,21}, {2,30}, {9,31}, {5,37}, {6,35}, {11,42}, {3,36}, {4,39}, {7,40}, {4,44}, {12,18}, {5,53}, {2,50}, {7,18} }; // ETB56.86 // Bipartite(16,40) Valencies [10,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6039797760 EdgesBipt[56][86]:={ {2,44}, {11,53}, {3,33}, {16,41}, {2,24}, {1,20}, {5,17}, {12,29}, {16,26}, {12,56}, {5,55}, {9,45}, {7,55}, {8,42}, {15,31}, {3,45}, {3,25}, {12,38}, {7,44}, {1,40}, {10,26}, {5,56}, {4,19}, {9,44}, {14,38}, {16,19}, {12,39}, {4,31}, {8,52}, {9,43}, {8,39}, {1,21}, {14,50}, {15,43}, {2,41}, {13,47}, {16,23}, {14,28}, {8,27}, {2,54}, {2,42}, {11,28}, {16,43}, {10,30}, {6,29}, {6,47}, {11,33}, {2,34}, {1,17}, {5,22}, {8,19}, {7,20}, {9,32}, {12,36}, {8,47}, {11,49}, {12,49}, {10,52}, {12,44}, {14,30}, {14,40}, {7,46}, {3,56}, {1,31}, {4,45}, {1,51}, {6,55}, {6,30}, {6,43}, {10,31}, {6,49}, {15,42}, {13,18}, {1,29}, {7,53}, {4,35}, {9,25}, {7,26}, {14,48}, {15,53}, {6,50}, {11,29}, {9,37}, {8,22}, {5,48}, {13,54}, {4,55}, {3,27}, {4,54}, {10,46}, {6,23}, {16,48}, {5,28}, {10,51}, {5,42}, {11,54}, {11,52}, {8,32}, {14,18}, {6,27}, {1,49}, {12,19}, {8,40}, {10,32}, {5,36}, {3,21}, {13,27}, {13,46}, {14,20}, {1,37}, {14,25}, {16,21}, {13,26}, {3,53}, {15,18}, {14,45}, {2,21}, {4,51}, {2,22}, {4,34}, {10,36}, {15,22}, {15,51}, {11,32}, {9,17}, {15,33}, {10,50}, {15,38}, {16,46}, {16,39}, {13,38}, {10,56}, {4,25}, {9,52}, {11,48}, {12,24}, {8,20}, {15,23}, {1,41}, {13,37}, {3,41}, {7,24}, {9,24}, {7,33}, {13,34}, {3,47}, {11,34}, {7,35}, {2,30}, {13,17}, {5,35}, {5,37}, {6,35}, {3,36}, {4,39}, {16,28}, {7,40}, {9,23}, {12,18}, {2,50} }; // ETB56.87 // Bipartite(21,35) Valencies [10,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[56][87]:={ {6,48}, {3,33}, {2,24}, {9,28}, {17,35}, {17,36}, {18,39}, {12,29}, {13,40}, {11,56}, {15,24}, {17,38}, {15,46}, {10,37}, {18,32}, {12,56}, {11,25}, {4,30}, {7,48}, {9,45}, {7,55}, {8,54}, {8,28}, {19,44}, {16,31}, {9,55}, {8,33}, {3,43}, {10,23}, {7,54}, {7,22}, {4,31}, {2,27}, {12,55}, {21,35}, {15,48}, {18,56}, {8,39}, {15,47}, {21,22}, {13,47}, {12,34}, {20,30}, {13,29}, {2,54}, {11,50}, {16,29}, {2,42}, {18,34}, {10,22}, {13,55}, {15,25}, {16,43}, {16,30}, {6,47}, {14,23}, {5,40}, {15,56}, {11,33}, {20,50}, {21,46}, {7,56}, {10,38}, {19,40}, {9,32}, {8,41}, {12,49}, {10,52}, {2,52}, {5,43}, {19,29}, {11,51}, {14,40}, {4,42}, {17,39}, {15,26}, {10,41}, {11,22}, {7,49}, {4,45}, {2,53}, {7,25}, {21,44}, {1,51}, {19,38}, {6,30}, {4,47}, {21,26}, {9,42}, {14,53}, {2,48}, {9,50}, {17,43}, {13,31}, {18,30}, {9,25}, {6,33}, {15,53}, {16,32}, {6,24}, {20,44}, {21,51}, {6,44}, {9,37}, {17,27}, {17,49}, {13,23}, {1,45}, {15,34}, {13,25}, {8,56}, {18,24}, {20,45}, {18,26}, {1,28}, {3,27}, {18,36}, {4,28}, {1,33}, {4,43}, {18,33}, {16,38}, {10,51}, {12,26}, {1,52}, {5,41}, {21,39}, {6,51}, {12,27}, {19,46}, {8,32}, {1,42}, {14,22}, {11,39}, {5,44}, {14,49}, {17,29}, {20,25}, {5,36}, {5,51}, {17,41}, {20,46}, {10,39}, {21,50}, {13,46}, {13,42}, {1,37}, {16,34}, {20,35}, {4,37}, {4,40}, {7,23}, {6,36}, {3,30}, {3,24}, {16,35}, {6,45}, {8,38}, {20,34}, {15,22}, {11,32}, {19,43}, {2,47}, {10,49}, {21,53}, {2,40}, {2,31}, {10,50}, {14,52}, {20,47}, {5,27}, {8,55}, {8,49}, {9,38}, {11,45}, {11,48}, {12,24}, {3,28}, {1,41}, {19,50}, {21,36}, {3,41}, {1,48}, {3,54}, {3,31}, {17,26}, {14,46}, {12,31}, {13,34}, {19,35}, {6,53}, {1,54}, {7,52}, {19,23}, {5,37}, {3,36}, {12,54}, {16,28}, {18,35}, {7,42}, {9,23}, {4,44}, {19,37}, {20,32}, {14,27}, {5,52}, {5,53}, {14,29}, {16,55}, {14,26} }; // ETB56.88 // Bipartite(21,35) Valencies [10,6] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1404285820600320000000 EdgesBipt[56][88]:={ {6,48}, {8,48}, {2,44}, {17,50}, {10,24}, {13,32}, {9,28}, {6,32}, {17,36}, {21,45}, {11,35}, {11,56}, {4,26}, {3,22}, {12,51}, {2,56}, {21,40}, {17,38}, {21,47}, {4,56}, {2,23}, {8,43}, {2,51}, {12,32}, {7,38}, {19,44}, {20,27}, {3,45}, {1,27}, {3,43}, {7,54}, {14,38}, {9,44}, {12,39}, {9,49}, {13,53}, {18,54}, {15,48}, {14,31}, {18,56}, {17,24}, {15,43}, {3,52}, {2,28}, {5,32}, {16,23}, {9,35}, {8,27}, {12,37}, {2,42}, {10,22}, {13,55}, {18,42}, {11,28}, {14,54}, {21,52}, {16,30}, {15,29}, {11,33}, {14,33}, {1,50}, {20,55}, {10,38}, {1,55}, {19,30}, {8,41}, {12,46}, {11,49}, {2,37}, {10,52}, {12,44}, {14,40}, {4,42}, {5,25}, {19,53}, {14,24}, {2,35}, {1,22}, {15,27}, {6,55}, {4,47}, {18,49}, {4,33}, {5,23}, {10,29}, {21,26}, {10,31}, {9,42}, {16,37}, {17,43}, {1,29}, {4,35}, {15,41}, {8,36}, {15,50}, {7,26}, {5,30}, {14,47}, {6,46}, {9,56}, {9,37}, {5,46}, {12,25}, {8,22}, {15,34}, {13,25}, {18,26}, {3,50}, {18,47}, {9,51}, {4,54}, {4,28}, {21,31}, {10,45}, {18,33}, {3,29}, {1,43}, {21,33}, {15,36}, {21,38}, {16,49}, {17,31}, {17,52}, {7,31}, {11,54}, {10,43}, {7,47}, {16,51}, {19,46}, {12,23}, {6,27}, {5,44}, {12,53}, {20,39}, {12,30}, {17,29}, {19,51}, {20,25}, {16,44}, {5,51}, {20,46}, {6,41}, {9,30}, {13,27}, {13,46}, {20,48}, {5,39}, {16,56}, {19,32}, {11,26}, {14,45}, {4,40}, {8,34}, {3,24}, {16,35}, {18,28}, {20,34}, {10,36}, {15,22}, {8,50}, {13,48}, {19,39}, {13,41}, {6,25}, {4,49}, {11,40}, {10,50}, {14,52}, {16,42}, {6,34}, {11,47}, {8,55}, {19,25}, {17,45}, {3,38}, {20,41}, {7,45}, {20,53}, {1,41}, {1,48}, {7,24}, {3,31}, {18,40}, {6,39}, {7,33}, {13,34}, {13,39}, {17,22}, {21,24}, {6,53}, {2,30}, {1,34}, {7,52}, {19,23}, {5,37}, {15,55}, {11,42}, {3,36}, {16,28}, {18,35}, {7,40}, {9,23}, {19,37}, {20,32}, {8,29}, {1,36}, {5,53}, {2,49}, {21,54}, {14,26} }; // ETB56.89 // Bipartite(21,35) Valencies [10,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1805923123200000000 EdgesBipt[56][89]:={ {2,44}, {11,53}, {15,52}, {16,41}, {17,50}, {6,32}, {17,44}, {17,36}, {11,35}, {5,34}, {11,56}, {13,40}, {21,48}, {4,24}, {15,24}, {2,56}, {11,25}, {4,50}, {16,27}, {8,30}, {21,32}, {2,23}, {5,55}, {9,45}, {2,51}, {18,38}, {15,31}, {4,29}, {3,45}, {1,27}, {3,25}, {7,44}, {7,54}, {5,56}, {9,44}, {14,38}, {4,31}, {21,55}, {12,41}, {12,55}, {19,47}, {14,31}, {18,56}, {8,39}, {15,47}, {7,51}, {15,54}, {3,52}, {8,25}, {13,47}, {2,28}, {12,34}, {16,23}, {8,44}, {13,29}, {2,42}, {10,22}, {18,42}, {11,28}, {15,45}, {16,30}, {19,28}, {4,38}, {19,33}, {6,47}, {3,46}, {6,40}, {20,50}, {21,46}, {1,50}, {4,22}, {19,54}, {19,40}, {17,37}, {1,55}, {19,26}, {15,40}, {11,49}, {2,37}, {17,51}, {15,26}, {17,23}, {4,45}, {10,28}, {14,24}, {2,35}, {1,22}, {21,27}, {18,49}, {10,29}, {13,22}, {4,52}, {16,37}, {17,43}, {1,29}, {7,30}, {3,39}, {3,32}, {13,33}, {14,48}, {6,33}, {7,26}, {19,42}, {13,43}, {14,55}, {13,50}, {17,30}, {6,46}, {21,25}, {9,37}, {12,47}, {8,53}, {5,49}, {5,48}, {13,54}, {18,24}, {10,42}, {14,41}, {20,22}, {9,51}, {4,43}, {20,43}, {16,48}, {1,43}, {8,37}, {5,28}, {13,36}, {18,31}, {5,42}, {12,26}, {12,33}, {18,52}, {10,43}, {4,36}, {5,41}, {21,39}, {7,47}, {20,29}, {12,27}, {16,51}, {8,32}, {11,39}, {6,26}, {12,40}, {20,39}, {14,34}, {8,23}, {17,29}, {20,25}, {11,46}, {16,44}, {6,54}, {20,46}, {19,56}, {9,30}, {19,49}, {16,34}, {13,26}, {3,53}, {14,45}, {10,35}, {7,23}, {3,24}, {18,28}, {10,36}, {11,32}, {15,33}, {6,25}, {10,49}, {21,53}, {14,52}, {10,50}, {20,36}, {5,27}, {15,38}, {18,45}, {12,48}, {10,56}, {9,38}, {3,38}, {9,52}, {8,46}, {20,53}, {1,41}, {1,48}, {3,31}, {21,34}, {9,24}, {8,51}, {6,39}, {7,33}, {19,35}, {17,22}, {6,53}, {2,30}, {7,37}, {5,35}, {9,31}, {1,34}, {21,41}, {11,42}, {12,54}, {18,35}, {7,40}, {9,23}, {20,32}, {14,27}, {1,36}, {16,55}, {2,49} }; // ETB56.90 // Bipartite(8,48) Valencies [12,2] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1155526618093977600000000 EdgesBipt[56][90]:={ {4,35}, {7,48}, {6,39}, {7,39}, {8,24}, {5,52}, {3,29}, {6,14}, {3,38}, {3,46}, {4,27}, {7,40}, {2,11}, {7,24}, {6,23}, {3,54}, {3,53}, {1,25}, {1,9}, {7,31}, {4,44}, {3,30}, {7,23}, {7,15}, {3,45}, {5,13}, {2,19}, {2,18}, {7,56}, {8,41}, {6,22}, {5,21}, {5,37}, {6,54}, {4,12}, {1,34}, {2,10}, {4,20}, {6,47}, {1,10}, {8,33}, {1,17}, {3,13}, {6,46}, {2,50}, {4,28}, {1,50}, {3,14}, {7,47}, {3,22}, {4,43}, {8,56}, {8,17}, {5,29}, {2,42}, {2,34}, {6,55}, {6,15}, {4,36}, {2,35}, {5,28}, {1,26}, {8,40}, {6,31}, {4,11}, {2,27}, {4,51}, {2,43}, {5,53}, {6,30}, {5,45}, {6,38}, {8,9}, {5,20}, {8,32}, {1,49}, {5,36}, {8,16}, {2,51}, {1,42}, {7,16}, {3,21}, {1,41}, {8,49}, {7,32}, {8,25}, {2,26}, {8,48}, {4,52}, {1,33}, {5,12}, {3,37}, {5,44}, {7,55}, {1,18}, {4,19} }; // ETB56.91 // Bipartite(8,48) Valencies [12,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1752976676930715648 EdgesBipt[56][91]:={ {1,15}, {7,43}, {7,19}, {7,39}, {5,52}, {3,29}, {6,14}, {5,42}, {5,30}, {6,17}, {4,48}, {6,41}, {3,53}, {6,13}, {2,37}, {6,50}, {1,9}, {1,56}, {7,31}, {6,25}, {7,27}, {8,46}, {1,44}, {2,55}, {4,44}, {1,32}, {8,42}, {7,23}, {7,15}, {8,34}, {7,51}, {2,19}, {8,14}, {7,11}, {5,9}, {5,21}, {4,12}, {8,22}, {3,41}, {6,53}, {5,33}, {3,11}, {4,20}, {2,31}, {6,49}, {4,46}, {3,40}, {2,36}, {8,10}, {8,18}, {2,13}, {7,47}, {8,26}, {6,37}, {3,23}, {6,26}, {4,36}, {3,47}, {5,28}, {6,29}, {7,35}, {2,24}, {3,52}, {2,43}, {3,35}, {2,48}, {5,45}, {1,39}, {6,38}, {8,38}, {2,12}, {4,22}, {3,28}, {2,49}, {4,56}, {8,50}, {8,54}, {1,51}, {4,32}, {1,20}, {1,27}, {3,16}, {1,33}, {2,25}, {3,17}, {5,18}, {8,30}, {4,34}, {1,45}, {5,16}, {7,55}, {1,21}, {4,10}, {4,24}, {5,40}, {5,54} }; // ETB56.92 // Bipartite(8,48) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3249918613389312 EdgesBipt[56][92]:={ {4,35}, {7,48}, {7,39}, {6,12}, {5,14}, {3,15}, {8,39}, {8,24}, {6,18}, {6,14}, {5,42}, {5,30}, {3,38}, {4,27}, {6,17}, {4,48}, {1,40}, {2,20}, {3,54}, {1,25}, {4,16}, {2,47}, {7,33}, {6,50}, {1,9}, {1,56}, {8,55}, {7,23}, {3,31}, {6,34}, {2,15}, {5,26}, {3,51}, {5,21}, {2,29}, {3,19}, {5,37}, {1,29}, {8,22}, {1,34}, {2,10}, {2,52}, {2,31}, {6,49}, {6,46}, {6,33}, {2,36}, {8,21}, {1,50}, {2,13}, {3,22}, {4,43}, {5,43}, {7,20}, {8,56}, {8,53}, {2,42}, {7,49}, {7,52}, {3,47}, {4,25}, {8,40}, {4,11}, {4,51}, {3,35}, {5,46}, {5,53}, {5,27}, {6,30}, {8,38}, {3,28}, {3,12}, {8,23}, {8,54}, {7,16}, {1,41}, {3,44}, {4,32}, {5,11}, {1,13}, {5,10}, {7,32}, {2,26}, {8,37}, {4,9}, {6,44}, {4,41}, {1,45}, {7,36}, {7,17}, {7,55}, {1,18}, {4,19}, {1,24}, {2,45}, {6,28} }; // ETB56.93 // Bipartite(8,48) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6442450944 EdgesBipt[56][93]:={ {6,48}, {3,15}, {1,43}, {8,31}, {1,11}, {5,42}, {3,38}, {5,50}, {2,37}, {7,54}, {6,50}, {1,9}, {5,41}, {6,32}, {8,55}, {7,27}, {4,44}, {7,23}, {7,51}, {1,52}, {2,18}, {5,26}, {8,14}, {7,56}, {6,22}, {5,21}, {1,29}, {3,48}, {3,41}, {1,34}, {3,11}, {4,37}, {2,10}, {4,20}, {1,10}, {8,33}, {4,46}, {4,39}, {6,46}, {2,16}, {8,47}, {2,36}, {8,21}, {7,29}, {3,14}, {2,13}, {7,47}, {5,51}, {7,25}, {4,43}, {7,53}, {2,42}, {4,30}, {2,34}, {6,26}, {6,55}, {7,49}, {1,19}, {2,40}, {7,30}, {4,15}, {1,35}, {1,53}, {8,40}, {6,52}, {6,31}, {3,35}, {6,56}, {5,27}, {5,45}, {8,9}, {8,38}, {2,12}, {4,22}, {5,20}, {3,24}, {5,17}, {8,16}, {3,12}, {2,49}, {8,23}, {3,39}, {4,54}, {7,32}, {8,45}, {1,33}, {2,25}, {1,28}, {3,36}, {3,17}, {6,24}, {5,18}, {5,44}, {4,13}, {4,19}, {6,28} }; // ETB56.94 // Bipartite(14,42) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[56][94]:={ {11,17}, {8,48}, {3,33}, {10,24}, {1,20}, {5,17}, {14,56}, {6,16}, {5,34}, {11,56}, {4,26}, {3,40}, {4,53}, {4,50}, {14,51}, {7,48}, {14,39}, {2,23}, {5,38}, {8,42}, {10,26}, {9,44}, {14,38}, {12,39}, {7,22}, {4,31}, {2,27}, {12,42}, {12,55}, {3,37}, {13,35}, {7,36}, {8,25}, {13,47}, {2,28}, {8,31}, {10,22}, {13,55}, {14,54}, {10,30}, {3,17}, {3,34}, {6,40}, {6,31}, {9,47}, {5,22}, {8,19}, {9,29}, {7,20}, {5,50}, {12,20}, {12,36}, {8,41}, {2,38}, {9,19}, {11,49}, {12,49}, {10,52}, {2,52}, {12,44}, {14,40}, {4,42}, {9,41}, {2,39}, {7,32}, {10,54}, {10,41}, {2,53}, {7,43}, {10,28}, {2,35}, {1,51}, {9,54}, {13,22}, {6,18}, {14,53}, {2,48}, {4,52}, {7,30}, {8,17}, {3,32}, {7,16}, {2,32}, {6,33}, {6,50}, {1,23}, {13,43}, {11,29}, {14,55}, {6,44}, {6,46}, {11,30}, {5,24}, {12,47}, {9,37}, {5,46}, {13,23}, {1,45}, {8,56}, {6,56}, {13,25}, {8,35}, {9,20}, {4,15}, {1,28}, {9,51}, {4,54}, {10,46}, {4,43}, {3,29}, {1,43}, {13,36}, {12,26}, {7,31}, {10,55}, {8,21}, {3,19}, {1,24}, {11,24}, {12,40}, {3,23}, {1,39}, {5,51}, {13,15}, {6,41}, {6,28}, {9,30}, {13,27}, {1,37}, {14,25}, {3,53}, {14,45}, {10,35}, {11,16}, {13,19}, {5,33}, {11,27}, {8,38}, {1,26}, {4,34}, {1,16}, {11,32}, {10,49}, {11,47}, {5,27}, {8,49}, {3,42}, {12,48}, {4,25}, {11,45}, {5,15}, {14,46}, {7,33}, {6,37}, {5,21}, {9,15}, {13,45}, {2,18}, {1,34}, {7,52}, {9,21}, {3,36}, {4,44}, {7,21}, {12,18}, {11,18}, {14,29}, {2,50} }; // ETB56.95 // Bipartite(14,42) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[56][95]:={ {6,48}, {2,44}, {1,20}, {11,20}, {13,32}, {7,15}, {14,19}, {4,16}, {12,56}, {8,30}, {14,51}, {6,17}, {8,42}, {8,28}, {12,38}, {7,54}, {2,15}, {4,19}, {10,33}, {13,53}, {12,55}, {5,47}, {13,35}, {14,31}, {2,41}, {9,35}, {12,37}, {13,16}, {2,54}, {10,15}, {13,55}, {10,53}, {6,22}, {11,28}, {3,34}, {2,25}, {11,38}, {10,48}, {2,34}, {1,17}, {9,48}, {7,56}, {5,22}, {5,50}, {9,27}, {12,36}, {8,47}, {9,19}, {2,37}, {14,40}, {2,39}, {11,15}, {7,32}, {3,56}, {1,31}, {11,22}, {7,49}, {4,45}, {7,25}, {4,47}, {12,16}, {3,51}, {10,21}, {9,42}, {14,53}, {4,52}, {10,40}, {12,43}, {7,50}, {11,21}, {13,33}, {6,50}, {11,29}, {13,44}, {14,55}, {7,17}, {5,46}, {12,25}, {5,49}, {1,45}, {14,42}, {6,56}, {8,35}, {14,41}, {4,54}, {10,46}, {3,29}, {6,23}, {1,43}, {4,46}, {8,26}, {5,42}, {12,33}, {13,30}, {10,43}, {4,36}, {5,41}, {6,51}, {12,27}, {9,40}, {8,32}, {8,21}, {3,19}, {6,27}, {5,44}, {3,23}, {8,23}, {1,39}, {1,25}, {1,46}, {5,51}, {6,28}, {10,39}, {14,20}, {7,28}, {13,26}, {11,26}, {14,45}, {10,35}, {3,30}, {9,18}, {11,37}, {2,29}, {11,27}, {8,38}, {2,22}, {10,18}, {8,24}, {11,40}, {10,50}, {6,34}, {3,55}, {8,49}, {4,18}, {6,52}, {3,38}, {9,52}, {12,24}, {1,41}, {13,37}, {1,48}, {7,24}, {3,54}, {9,24}, {7,33}, {12,31}, {3,47}, {6,20}, {13,39}, {11,43}, {5,21}, {2,30}, {13,45}, {9,31}, {1,34}, {4,17}, {3,36}, {9,16}, {4,44}, {9,23}, {5,52}, {4,32}, {1,36}, {5,53}, {14,29}, {2,49}, {14,26}, {7,18} }; // ETB56.96 // Bipartite(14,42) Valencies [12,4] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 179748585036840960000000 EdgesBipt[56][96]:={ {6,48}, {8,48}, {2,44}, {10,24}, {1,20}, {9,28}, {13,32}, {6,32}, {11,35}, {11,56}, {14,19}, {4,26}, {3,22}, {12,51}, {2,56}, {4,56}, {2,23}, {8,43}, {2,51}, {12,32}, {7,38}, {3,45}, {1,27}, {3,43}, {3,15}, {7,54}, {9,44}, {4,19}, {14,38}, {12,39}, {9,49}, {13,53}, {14,31}, {3,52}, {2,28}, {5,32}, {8,15}, {9,35}, {8,27}, {12,37}, {10,15}, {2,42}, {10,22}, {13,55}, {11,28}, {14,54}, {3,17}, {11,33}, {14,33}, {1,50}, {10,38}, {1,55}, {8,41}, {12,46}, {11,49}, {2,37}, {10,52}, {12,44}, {14,40}, {4,42}, {5,25}, {14,24}, {2,35}, {1,22}, {6,55}, {4,47}, {12,16}, {4,33}, {5,23}, {10,29}, {4,21}, {10,31}, {9,42}, {6,18}, {13,18}, {1,29}, {2,16}, {11,21}, {4,35}, {8,36}, {7,26}, {5,18}, {5,30}, {14,47}, {7,17}, {6,46}, {9,56}, {9,37}, {5,46}, {12,25}, {8,22}, {13,25}, {3,50}, {9,51}, {4,54}, {4,28}, {10,45}, {3,29}, {1,43}, {7,31}, {11,54}, {10,43}, {7,47}, {14,17}, {12,23}, {6,27}, {5,44}, {12,53}, {12,30}, {5,51}, {6,41}, {1,15}, {9,30}, {13,27}, {13,46}, {5,39}, {11,26}, {14,45}, {4,40}, {2,21}, {8,34}, {10,17}, {3,24}, {10,36}, {8,50}, {13,48}, {6,25}, {13,41}, {4,49}, {11,40}, {10,50}, {14,52}, {6,34}, {11,47}, {8,55}, {11,19}, {3,38}, {8,20}, {7,45}, {1,41}, {1,48}, {7,24}, {3,31}, {6,39}, {7,33}, {13,34}, {6,20}, {13,39}, {6,53}, {2,30}, {13,20}, {1,34}, {7,52}, {5,37}, {7,19}, {11,42}, {9,16}, {3,36}, {9,21}, {7,40}, {9,23}, {8,29}, {12,18}, {1,36}, {5,53}, {2,49}, {14,26}, {5,16} }; // ETB56.97 // Bipartite(14,42) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1352914698240 EdgesBipt[56][97]:={ {11,17}, {8,48}, {2,44}, {11,20}, {12,29}, {11,35}, {11,56}, {13,40}, {14,19}, {11,25}, {4,56}, {2,23}, {2,51}, {1,27}, {10,23}, {7,54}, {9,44}, {8,52}, {12,41}, {12,42}, {5,47}, {5,20}, {9,43}, {13,35}, {8,39}, {11,41}, {10,44}, {13,47}, {8,15}, {8,31}, {8,27}, {12,50}, {2,42}, {10,53}, {3,18}, {14,54}, {3,17}, {13,56}, {4,38}, {6,47}, {11,38}, {6,40}, {14,33}, {4,22}, {10,38}, {3,49}, {1,18}, {1,55}, {5,50}, {12,20}, {5,29}, {4,41}, {2,37}, {2,52}, {7,46}, {8,45}, {14,40}, {7,32}, {1,31}, {11,22}, {7,25}, {10,28}, {14,24}, {3,44}, {6,30}, {10,29}, {6,49}, {9,42}, {14,16}, {13,49}, {14,53}, {2,16}, {3,39}, {7,53}, {3,32}, {4,35}, {7,16}, {8,36}, {9,37}, {12,47}, {1,45}, {5,48}, {6,56}, {13,28}, {4,55}, {3,50}, {14,37}, {9,51}, {4,43}, {3,29}, {4,46}, {13,36}, {5,42}, {12,26}, {1,52}, {9,22}, {12,33}, {6,15}, {13,30}, {5,41}, {6,51}, {12,27}, {5,54}, {1,24}, {6,26}, {3,23}, {11,55}, {10,32}, {1,39}, {6,19}, {11,46}, {13,15}, {1,15}, {6,28}, {9,30}, {10,39}, {14,25}, {13,26}, {3,53}, {14,45}, {13,19}, {6,36}, {2,21}, {8,34}, {5,33}, {10,17}, {2,22}, {4,34}, {13,51}, {10,18}, {14,32}, {8,24}, {10,49}, {2,31}, {10,50}, {5,27}, {8,55}, {5,26}, {8,18}, {12,48}, {4,25}, {3,38}, {9,52}, {4,20}, {3,28}, {7,45}, {1,48}, {7,24}, {14,46}, {7,33}, {11,34}, {11,43}, {5,21}, {2,30}, {7,37}, {9,31}, {1,34}, {7,19}, {2,43}, {4,17}, {6,35}, {9,21}, {9,16}, {12,54}, {7,40}, {9,23}, {12,21}, {1,36} }; // ETB56.98 // Bipartite(14,42) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26330359136256 EdgesBipt[56][98]:={ {8,48}, {11,53}, {13,32}, {14,56}, {2,33}, {6,16}, {11,36}, {11,35}, {4,24}, {2,56}, {10,37}, {11,25}, {4,50}, {8,30}, {14,51}, {7,48}, {12,32}, {3,43}, {3,15}, {10,23}, {1,40}, {4,19}, {2,19}, {12,41}, {9,49}, {2,27}, {5,47}, {12,55}, {3,37}, {7,34}, {11,41}, {7,51}, {14,50}, {3,52}, {2,41}, {2,28}, {9,35}, {14,28}, {8,44}, {8,31}, {13,29}, {11,50}, {2,42}, {14,54}, {8,16}, {2,45}, {13,56}, {4,38}, {14,23}, {1,17}, {9,48}, {4,22}, {7,20}, {14,36}, {9,26}, {5,29}, {12,46}, {11,49}, {5,43}, {12,44}, {8,45}, {14,40}, {7,39}, {1,31}, {11,22}, {7,25}, {6,30}, {4,47}, {12,16}, {4,33}, {9,54}, {10,31}, {9,34}, {3,51}, {10,21}, {13,18}, {4,52}, {1,29}, {8,17}, {7,53}, {11,21}, {8,36}, {13,43}, {6,24}, {5,30}, {6,44}, {5,49}, {8,22}, {1,45}, {14,42}, {6,56}, {13,28}, {9,20}, {3,27}, {14,37}, {10,46}, {10,45}, {3,29}, {1,43}, {4,46}, {10,51}, {12,26}, {2,17}, {4,36}, {7,47}, {12,27}, {9,40}, {14,22}, {11,39}, {5,44}, {12,40}, {12,30}, {3,23}, {11,55}, {10,32}, {1,39}, {1,25}, {1,53}, {13,15}, {1,15}, {6,28}, {13,46}, {13,42}, {6,42}, {10,35}, {7,23}, {8,34}, {5,33}, {10,17}, {3,24}, {11,27}, {1,26}, {8,50}, {10,18}, {13,48}, {2,47}, {10,49}, {6,25}, {6,38}, {2,31}, {3,55}, {4,18}, {6,52}, {9,38}, {3,38}, {9,52}, {8,20}, {3,41}, {9,24}, {6,39}, {5,15}, {2,55}, {7,33}, {13,34}, {5,19}, {5,21}, {6,53}, {7,37}, {13,20}, {5,35}, {1,54}, {7,19}, {9,21}, {12,54}, {4,32}, {12,18}, {14,26}, {5,16} }; // ETB56.99 // Bipartite(14,42) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 704643072 EdgesBipt[56][99]:={ {10,25}, {5,17}, {10,24}, {13,32}, {11,36}, {11,35}, {11,56}, {13,40}, {4,24}, {3,22}, {2,56}, {10,37}, {4,30}, {8,30}, {7,48}, {9,45}, {5,38}, {7,55}, {3,45}, {3,43}, {3,25}, {12,38}, {7,41}, {1,40}, {10,26}, {7,54}, {5,56}, {4,19}, {12,39}, {4,31}, {12,41}, {1,19}, {13,53}, {2,26}, {8,39}, {7,34}, {1,21}, {14,50}, {5,32}, {8,15}, {4,23}, {2,42}, {13,55}, {11,28}, {8,16}, {6,21}, {14,23}, {3,46}, {6,40}, {1,38}, {1,17}, {4,22}, {10,47}, {7,20}, {5,50}, {12,17}, {12,20}, {5,29}, {2,38}, {11,49}, {7,46}, {9,41}, {11,15}, {1,31}, {10,41}, {4,45}, {7,49}, {7,25}, {10,28}, {2,35}, {1,22}, {3,44}, {6,55}, {6,49}, {14,53}, {4,52}, {11,21}, {8,36}, {6,33}, {14,48}, {5,18}, {13,44}, {14,55}, {9,37}, {8,53}, {13,23}, {5,48}, {8,56}, {8,35}, {9,20}, {3,50}, {9,51}, {10,46}, {4,43}, {1,33}, {10,45}, {3,29}, {1,43}, {3,26}, {8,37}, {13,36}, {1,52}, {12,33}, {6,15}, {13,30}, {2,17}, {12,27}, {8,32}, {1,42}, {3,23}, {14,34}, {6,19}, {6,54}, {13,15}, {6,28}, {9,30}, {5,39}, {14,25}, {7,28}, {11,26}, {6,42}, {4,40}, {11,16}, {13,19}, {6,36}, {2,21}, {9,18}, {11,37}, {3,24}, {4,51}, {2,29}, {2,22}, {14,44}, {13,51}, {14,32}, {2,47}, {10,49}, {12,52}, {6,34}, {11,47}, {5,27}, {8,18}, {9,39}, {12,48}, {9,52}, {7,27}, {9,24}, {8,51}, {10,20}, {14,46}, {7,33}, {12,31}, {3,47}, {13,34}, {5,35}, {1,54}, {9,31}, {2,43}, {11,42}, {9,16}, {12,54}, {4,44}, {14,27}, {12,18}, {5,53}, {14,29}, {2,50}, {10,16} }; // ETB56.100 // Bipartite(24,32) Valencies [12,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[56][100]:={ {15,33}, {6,52}, {18,45}, {6,38}, {11,40}, {10,37}, {16,47}, {15,38}, {14,36}, {23,29}, {16,51}, {11,25}, {4,28}, {5,43}, {2,55}, {3,26}, {8,26}, {22,40}, {1,49}, {13,37}, {14,50}, {2,35}, {8,40}, {3,35}, {10,33}, {15,27}, {24,54}, {11,53}, {17,56}, {6,48}, {15,56}, {20,37}, {21,28}, {5,32}, {4,51}, {7,30}, {8,31}, {20,52}, {4,37}, {24,28}, {14,44}, {11,29}, {6,29}, {11,27}, {20,26}, {22,55}, {12,48}, {4,43}, {16,42}, {16,48}, {2,52}, {23,38}, {8,46}, {24,46}, {5,41}, {17,39}, {20,49}, {7,27}, {12,42}, {3,52}, {5,37}, {24,47}, {13,55}, {24,31}, {24,45}, {23,43}, {9,35}, {16,34}, {6,46}, {16,43}, {7,56}, {6,44}, {13,26}, {9,47}, {17,36}, {2,29}, {18,46}, {2,36}, {20,42}, {24,37}, {12,49}, {8,42}, {18,26}, {22,43}, {3,38}, {5,27}, {15,28}, {5,28}, {14,35}, {7,32}, {19,56}, {19,38}, {1,39}, {7,53}, {5,53}, {14,34}, {3,36}, {17,29}, {8,48}, {14,54}, {20,25}, {2,44}, {1,30}, {21,45}, {8,50}, {23,40}, {18,51}, {24,53}, {3,55}, {9,51}, {1,47}, {22,48}, {21,47}, {15,37}, {10,38}, {10,46}, {22,56}, {13,25}, {21,25}, {14,39}, {19,30}, {4,41}, {21,37}, {8,45}, {1,41}, {13,53}, {9,54}, {18,54}, {20,54}, {20,31}, {4,47}, {3,44}, {23,48}, {17,55}, {21,42}, {11,46}, {12,30}, {4,33}, {7,34}, {10,31}, {10,29}, {18,25}, {15,52}, {13,56}, {1,25}, {23,35}, {13,31}, {9,30}, {19,55}, {16,41}, {7,28}, {6,45}, {20,44}, {19,41}, {13,29}, {15,46}, {17,30}, {20,47}, {12,45}, {4,34}, {6,31}, {11,32}, {15,40}, {19,50}, {3,42}, {10,52}, {13,38}, {23,27}, {18,31}, {7,49}, {9,41}, {16,45}, {7,39}, {22,41}, {1,32}, {9,44}, {19,29}, {22,39}, {24,51}, {10,28}, {16,44}, {2,54}, {12,50}, {12,43}, {2,26}, {17,50}, {10,40}, {11,56}, {14,47}, {8,29}, {21,52}, {22,38}, {8,36}, {24,49}, {21,46}, {3,48}, {16,36}, {13,32}, {23,32}, {19,33}, {19,39}, {4,27}, {18,28}, {2,31}, {1,33}, {20,53}, {12,36}, {3,45}, {4,25}, {14,30}, {21,34}, {12,39}, {5,47}, {6,54}, {18,49}, {15,55}, {7,51}, {14,49}, {22,33}, {11,31}, {21,44}, {1,53}, {19,35}, {5,51}, {24,52}, {7,25}, {9,50}, {1,34}, {22,27}, {2,50}, {10,53}, {17,40}, {24,44}, {12,34}, {19,36}, {23,30}, {21,51}, {19,32}, {13,33}, {18,53}, {5,49}, {1,56}, {20,34}, {23,33}, {11,28}, {16,35}, {8,55}, {14,42}, {10,27}, {3,40}, {17,27}, {8,54}, {9,45}, {14,41}, {16,39}, {2,38}, {23,50}, {22,35}, {9,49}, {7,43}, {11,55}, {12,54}, {15,26}, {22,36}, {9,43}, {23,41}, {10,32}, {4,39}, {6,35}, {17,32}, {13,52}, {17,43}, {6,50}, {21,26}, {1,37}, {2,42}, {18,42}, {18,34}, {12,51}, {11,26}, {3,46}, {9,48}, {17,48}, {15,25}, {5,33}, {4,56}, {5,30}, {6,40} }; // ETB56.101 // Bipartite(24,32) Valencies [12,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[56][101]:={ {15,33}, {6,52}, {11,49}, {9,32}, {5,38}, {16,51}, {11,25}, {2,55}, {23,53}, {3,26}, {8,26}, {17,42}, {13,39}, {11,43}, {8,40}, {10,33}, {14,31}, {15,27}, {24,32}, {24,36}, {14,56}, {14,45}, {16,37}, {15,56}, {5,32}, {4,51}, {1,35}, {15,41}, {4,37}, {2,46}, {6,56}, {23,44}, {17,35}, {21,53}, {11,35}, {10,42}, {11,27}, {20,38}, {19,31}, {1,52}, {15,32}, {8,30}, {20,43}, {8,46}, {24,46}, {7,41}, {12,26}, {23,54}, {12,42}, {6,39}, {11,39}, {23,28}, {12,40}, {19,48}, {13,47}, {24,30}, {22,25}, {20,39}, {19,52}, {5,37}, {21,50}, {13,55}, {16,25}, {9,56}, {24,45}, {20,35}, {1,29}, {19,42}, {12,37}, {2,56}, {16,43}, {15,45}, {18,39}, {6,44}, {24,26}, {20,55}, {17,47}, {4,49}, {5,34}, {1,38}, {14,32}, {2,36}, {20,36}, {13,41}, {22,34}, {24,37}, {18,29}, {9,39}, {18,26}, {7,54}, {18,33}, {3,38}, {19,46}, {3,43}, {21,55}, {5,28}, {9,46}, {14,35}, {1,42}, {19,56}, {3,31}, {1,39}, {7,37}, {6,27}, {2,30}, {5,53}, {14,54}, {12,47}, {23,39}, {6,36}, {23,40}, {3,55}, {9,51}, {1,47}, {21,47}, {10,36}, {10,38}, {15,34}, {11,33}, {17,51}, {19,30}, {8,47}, {9,26}, {21,37}, {11,52}, {13,36}, {4,45}, {12,55}, {13,53}, {22,29}, {12,41}, {18,54}, {20,54}, {3,44}, {4,47}, {23,48}, {17,55}, {11,34}, {11,46}, {2,43}, {12,30}, {22,44}, {7,34}, {18,25}, {17,46}, {23,51}, {1,25}, {22,31}, {13,50}, {23,56}, {24,38}, {3,32}, {22,45}, {6,45}, {17,44}, {19,41}, {13,29}, {17,30}, {10,30}, {20,47}, {5,40}, {4,50}, {4,34}, {12,29}, {17,52}, {9,52}, {16,26}, {14,43}, {19,50}, {13,38}, {15,49}, {23,27}, {10,54}, {19,53}, {18,31}, {14,40}, {1,48}, {7,49}, {16,31}, {7,39}, {3,41}, {23,34}, {4,36}, {22,41}, {4,29}, {9,44}, {1,32}, {1,54}, {7,52}, {19,29}, {16,44}, {21,49}, {2,41}, {20,32}, {3,53}, {18,41}, {10,40}, {2,28}, {8,29}, {22,38}, {24,49}, {8,27}, {2,45}, {5,46}, {3,48}, {3,33}, {16,36}, {10,50}, {9,28}, {16,53}, {7,55}, {18,28}, {15,29}, {2,31}, {16,38}, {20,28}, {21,33}, {12,44}, {19,25}, {16,50}, {4,25}, {14,30}, {7,31}, {8,33}, {17,34}, {6,54}, {21,35}, {18,49}, {15,55}, {15,47}, {7,51}, {11,31}, {15,48}, {1,53}, {5,51}, {24,52}, {6,26}, {22,27}, {22,51}, {21,43}, {7,42}, {2,50}, {10,53}, {8,44}, {6,42}, {21,48}, {4,35}, {14,25}, {5,49}, {20,45}, {11,28}, {16,35}, {14,42}, {10,27}, {10,34}, {17,27}, {8,35}, {2,40}, {21,56}, {9,45}, {13,28}, {3,27}, {23,50}, {8,28}, {7,43}, {18,40}, {24,42}, {20,40}, {12,54}, {22,36}, {22,32}, {24,33}, {13,46}, {13,52}, {17,43}, {6,50}, {21,26}, {14,48}, {8,25}, {6,33}, {12,51}, {9,48}, {5,48}, {18,37}, {4,56}, {5,30}, {10,49}, {9,37} }; // ETB56.102 // Bipartite(24,32) Valencies [12,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[56][102]:={ {6,52}, {7,48}, {19,28}, {6,38}, {15,38}, {5,43}, {23,53}, {8,51}, {5,45}, {22,40}, {13,39}, {15,44}, {11,43}, {15,54}, {17,33}, {10,33}, {21,30}, {16,55}, {24,36}, {14,56}, {10,39}, {14,45}, {19,37}, {15,56}, {16,28}, {5,32}, {1,35}, {8,31}, {4,37}, {13,43}, {24,48}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {21,53}, {3,49}, {10,42}, {6,29}, {2,34}, {12,48}, {4,43}, {18,32}, {16,48}, {15,32}, {2,52}, {4,30}, {16,49}, {23,38}, {20,43}, {8,46}, {5,41}, {7,41}, {20,49}, {23,31}, {23,54}, {7,27}, {12,42}, {11,39}, {10,26}, {22,42}, {3,52}, {12,40}, {13,47}, {2,48}, {9,35}, {1,29}, {19,42}, {23,42}, {12,37}, {18,39}, {8,38}, {13,26}, {17,47}, {5,50}, {18,46}, {1,26}, {20,36}, {22,34}, {18,29}, {6,34}, {1,43}, {9,29}, {11,51}, {18,26}, {5,54}, {19,46}, {21,55}, {18,56}, {24,41}, {14,46}, {24,40}, {19,38}, {3,31}, {3,51}, {7,37}, {6,27}, {5,53}, {5,35}, {14,34}, {15,50}, {3,36}, {20,25}, {4,32}, {1,30}, {8,56}, {12,47}, {1,55}, {11,36}, {13,48}, {9,51}, {22,48}, {21,47}, {10,36}, {20,51}, {11,33}, {9,55}, {21,25}, {17,51}, {19,30}, {4,41}, {9,38}, {24,55}, {21,37}, {8,45}, {13,36}, {1,41}, {1,51}, {22,29}, {12,41}, {20,54}, {3,44}, {4,47}, {24,39}, {17,28}, {11,46}, {2,27}, {4,33}, {7,50}, {10,31}, {23,56}, {13,31}, {19,55}, {18,44}, {22,45}, {16,41}, {20,44}, {13,29}, {14,52}, {9,25}, {20,47}, {4,50}, {16,30}, {12,45}, {17,38}, {6,31}, {12,25}, {15,40}, {10,52}, {14,37}, {1,44}, {13,38}, {24,35}, {10,54}, {7,49}, {9,41}, {16,45}, {7,39}, {1,32}, {9,44}, {24,29}, {7,52}, {19,29}, {6,37}, {8,32}, {22,39}, {24,27}, {24,51}, {17,25}, {19,34}, {2,54}, {12,50}, {23,37}, {11,56}, {2,28}, {21,52}, {8,36}, {24,49}, {2,45}, {23,52}, {5,46}, {6,47}, {20,50}, {10,50}, {23,32}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {16,53}, {7,55}, {16,46}, {15,29}, {18,52}, {3,56}, {2,31}, {20,53}, {16,27}, {2,53}, {12,44}, {7,47}, {4,42}, {14,30}, {3,28}, {20,27}, {18,49}, {15,47}, {14,49}, {11,31}, {6,26}, {13,35}, {21,43}, {21,27}, {7,42}, {10,53}, {24,44}, {12,34}, {23,30}, {6,28}, {4,35}, {21,51}, {19,32}, {13,33}, {14,25}, {5,49}, {1,56}, {7,26}, {1,50}, {23,33}, {11,28}, {16,33}, {17,53}, {3,40}, {17,27}, {8,35}, {2,40}, {8,54}, {21,56}, {17,45}, {9,45}, {14,41}, {18,50}, {22,46}, {16,39}, {23,25}, {3,27}, {22,35}, {10,43}, {15,31}, {6,55}, {8,28}, {11,55}, {20,40}, {22,54}, {12,54}, {15,26}, {22,36}, {14,53}, {22,32}, {5,36}, {9,34}, {17,43}, {21,26}, {8,25}, {2,42}, {18,42}, {4,48}, {18,34}, {11,26}, {3,46}, {17,48}, {15,25}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB56.103 // Bipartite(24,32) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8874444426961747968 EdgesBipt[56][103]:={ {18,45}, {6,52}, {19,28}, {10,37}, {15,38}, {14,36}, {9,32}, {6,25}, {5,38}, {1,49}, {1,40}, {13,39}, {15,44}, {15,54}, {14,50}, {2,35}, {17,33}, {4,31}, {8,40}, {21,30}, {15,27}, {24,32}, {24,54}, {21,41}, {11,53}, {21,54}, {17,56}, {16,37}, {19,37}, {3,39}, {1,35}, {7,30}, {4,40}, {24,48}, {23,44}, {14,44}, {17,35}, {24,56}, {11,29}, {10,42}, {2,34}, {20,26}, {19,31}, {12,48}, {16,48}, {8,30}, {23,38}, {9,33}, {8,46}, {8,37}, {24,46}, {5,41}, {21,38}, {12,26}, {13,30}, {23,54}, {7,27}, {12,42}, {23,36}, {11,39}, {6,49}, {10,26}, {22,42}, {12,31}, {3,52}, {12,40}, {23,28}, {13,47}, {24,30}, {15,30}, {22,25}, {20,39}, {19,52}, {13,55}, {18,35}, {9,56}, {24,45}, {23,43}, {9,35}, {10,35}, {6,44}, {8,38}, {20,55}, {2,29}, {13,41}, {16,40}, {20,42}, {10,51}, {22,34}, {24,37}, {18,29}, {6,34}, {1,43}, {18,26}, {7,54}, {5,54}, {15,28}, {21,55}, {24,40}, {3,47}, {3,31}, {19,47}, {13,49}, {14,34}, {3,36}, {8,48}, {4,32}, {22,49}, {8,56}, {14,28}, {12,56}, {12,47}, {6,36}, {18,51}, {24,53}, {16,29}, {11,36}, {3,55}, {9,51}, {21,47}, {22,26}, {14,33}, {2,51}, {21,25}, {13,25}, {17,51}, {21,31}, {8,45}, {7,46}, {3,29}, {11,52}, {1,41}, {12,55}, {1,51}, {20,31}, {4,47}, {3,44}, {11,44}, {7,35}, {19,45}, {16,56}, {2,43}, {2,27}, {22,44}, {10,29}, {15,52}, {23,51}, {1,25}, {22,50}, {23,35}, {13,31}, {5,39}, {24,38}, {19,55}, {8,53}, {7,28}, {14,52}, {9,25}, {15,46}, {20,47}, {4,50}, {16,30}, {4,34}, {15,35}, {13,38}, {23,27}, {19,53}, {19,44}, {1,48}, {9,41}, {16,45}, {22,41}, {1,32}, {22,52}, {24,29}, {21,39}, {7,52}, {19,29}, {8,32}, {5,31}, {17,25}, {20,48}, {21,49}, {12,50}, {17,41}, {20,32}, {2,26}, {3,53}, {8,29}, {2,45}, {21,46}, {23,52}, {5,46}, {4,55}, {14,26}, {20,50}, {10,50}, {19,39}, {16,53}, {16,46}, {11,47}, {16,38}, {11,45}, {18,27}, {21,33}, {1,33}, {3,45}, {2,53}, {2,37}, {4,42}, {3,28}, {12,39}, {5,47}, {7,51}, {14,49}, {22,33}, {11,31}, {6,26}, {2,50}, {6,41}, {10,53}, {17,40}, {12,34}, {19,36}, {23,30}, {6,28}, {6,42}, {13,33}, {18,43}, {15,51}, {23,46}, {18,53}, {14,25}, {5,49}, {1,56}, {13,54}, {20,34}, {11,37}, {11,28}, {5,55}, {14,42}, {10,27}, {10,34}, {17,27}, {10,45}, {8,54}, {18,50}, {14,41}, {4,26}, {16,54}, {20,56}, {9,27}, {7,38}, {12,32}, {15,36}, {10,43}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {20,40}, {1,27}, {5,25}, {22,36}, {9,43}, {3,37}, {15,43}, {13,46}, {4,39}, {7,36}, {17,32}, {17,43}, {6,50}, {22,28}, {2,42}, {18,42}, {16,32}, {4,48}, {6,33}, {18,34}, {17,49}, {9,48}, {17,48}, {18,37}, {5,33}, {4,56}, {5,30} }; // ETB56.104 // Bipartite(24,32) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 644972544 EdgesBipt[56][104]:={ {24,34}, {15,33}, {6,38}, {14,36}, {11,49}, {19,26}, {11,25}, {2,55}, {23,53}, {5,45}, {3,26}, {8,26}, {22,40}, {13,37}, {14,38}, {13,39}, {15,44}, {15,54}, {2,35}, {4,31}, {8,40}, {20,46}, {14,31}, {24,32}, {17,56}, {6,48}, {16,37}, {21,28}, {5,32}, {15,41}, {4,40}, {2,46}, {24,48}, {23,44}, {4,38}, {3,49}, {10,56}, {10,42}, {11,27}, {20,38}, {2,25}, {16,48}, {23,45}, {8,30}, {16,49}, {12,46}, {7,45}, {8,46}, {8,37}, {24,46}, {8,52}, {12,38}, {7,41}, {23,31}, {23,54}, {6,39}, {23,36}, {6,49}, {10,26}, {22,42}, {7,33}, {12,31}, {3,52}, {12,40}, {20,29}, {23,28}, {13,47}, {24,30}, {20,39}, {19,52}, {5,37}, {18,35}, {9,56}, {1,29}, {19,42}, {16,34}, {13,51}, {2,56}, {16,43}, {10,35}, {15,45}, {24,26}, {18,46}, {8,49}, {16,40}, {24,37}, {9,29}, {11,51}, {18,26}, {7,54}, {22,43}, {15,28}, {18,56}, {5,28}, {24,40}, {14,35}, {3,47}, {19,47}, {3,51}, {18,55}, {7,53}, {11,42}, {2,30}, {15,50}, {3,36}, {19,49}, {17,29}, {8,48}, {4,32}, {22,49}, {1,30}, {21,45}, {19,27}, {14,28}, {12,56}, {6,36}, {1,55}, {4,53}, {11,36}, {13,48}, {9,51}, {22,48}, {21,47}, {10,38}, {10,46}, {9,55}, {17,51}, {14,39}, {10,55}, {18,38}, {21,37}, {11,52}, {1,51}, {18,54}, {20,54}, {20,31}, {13,45}, {3,44}, {11,44}, {3,25}, {17,55}, {7,35}, {2,43}, {5,52}, {4,33}, {7,50}, {18,25}, {15,53}, {1,25}, {22,31}, {23,35}, {9,30}, {5,39}, {7,28}, {19,41}, {13,29}, {8,34}, {9,25}, {17,30}, {10,30}, {16,30}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {21,32}, {16,26}, {14,43}, {19,50}, {3,42}, {10,54}, {19,44}, {14,40}, {24,43}, {3,41}, {4,29}, {21,39}, {6,43}, {8,32}, {22,39}, {24,27}, {17,25}, {2,54}, {2,41}, {20,32}, {2,26}, {17,50}, {18,41}, {18,30}, {14,47}, {21,52}, {22,38}, {13,44}, {24,49}, {8,27}, {6,47}, {13,32}, {1,45}, {3,50}, {7,55}, {16,46}, {11,47}, {4,46}, {8,43}, {21,33}, {20,53}, {16,27}, {19,25}, {5,29}, {12,53}, {10,41}, {23,55}, {7,31}, {12,33}, {12,39}, {5,47}, {17,34}, {15,55}, {14,49}, {21,44}, {20,33}, {1,53}, {5,51}, {24,52}, {11,41}, {9,50}, {1,34}, {21,29}, {12,34}, {19,36}, {6,28}, {6,42}, {21,48}, {21,51}, {13,33}, {18,43}, {1,56}, {20,34}, {1,50}, {23,33}, {14,42}, {17,53}, {17,27}, {17,45}, {9,45}, {17,37}, {13,28}, {20,56}, {16,52}, {3,27}, {9,27}, {2,38}, {23,50}, {12,32}, {15,36}, {22,35}, {10,43}, {15,31}, {7,44}, {19,51}, {20,40}, {1,27}, {5,44}, {12,54}, {9,53}, {22,36}, {22,47}, {23,41}, {9,34}, {4,39}, {7,36}, {6,35}, {11,50}, {13,52}, {14,48}, {22,28}, {1,37}, {2,42}, {18,42}, {16,32}, {11,26}, {5,48}, {5,33}, {4,56}, {4,54}, {9,37}, {6,40} }; // ETB56.105 // Bipartite(24,32) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[56][105]:={ {24,34}, {15,33}, {15,38}, {14,36}, {6,25}, {5,38}, {19,26}, {2,55}, {3,26}, {22,40}, {1,49}, {15,54}, {20,46}, {10,33}, {24,32}, {24,54}, {21,41}, {24,36}, {14,56}, {17,56}, {6,48}, {16,37}, {21,28}, {1,35}, {4,51}, {8,31}, {6,56}, {24,48}, {13,40}, {14,44}, {6,32}, {17,35}, {24,56}, {4,38}, {3,49}, {6,29}, {10,47}, {20,38}, {20,26}, {22,37}, {4,43}, {16,42}, {18,32}, {20,43}, {8,37}, {24,46}, {17,39}, {7,41}, {23,31}, {13,30}, {7,33}, {12,31}, {24,30}, {2,48}, {15,30}, {20,39}, {24,50}, {18,35}, {16,25}, {9,56}, {13,42}, {23,43}, {19,42}, {23,42}, {12,37}, {2,56}, {15,45}, {10,35}, {7,56}, {6,44}, {20,55}, {13,26}, {17,47}, {5,50}, {17,36}, {5,34}, {18,47}, {20,42}, {10,51}, {9,36}, {1,43}, {12,49}, {18,36}, {5,54}, {3,38}, {19,46}, {2,39}, {24,40}, {14,35}, {1,39}, {7,37}, {7,53}, {11,42}, {5,35}, {15,50}, {19,49}, {22,49}, {2,44}, {21,45}, {14,28}, {12,47}, {1,55}, {18,51}, {16,29}, {11,36}, {13,48}, {22,48}, {15,37}, {15,34}, {22,56}, {21,25}, {17,51}, {14,39}, {19,30}, {11,48}, {8,47}, {8,41}, {9,38}, {9,26}, {8,45}, {17,31}, {11,52}, {1,41}, {12,55}, {1,51}, {22,29}, {9,54}, {20,54}, {20,31}, {11,44}, {3,25}, {17,55}, {11,34}, {19,45}, {11,46}, {2,43}, {2,27}, {10,31}, {10,29}, {15,53}, {23,51}, {13,56}, {1,25}, {23,35}, {20,30}, {5,39}, {24,38}, {8,53}, {18,44}, {14,27}, {22,45}, {16,41}, {7,28}, {6,45}, {19,41}, {14,52}, {15,46}, {20,47}, {4,50}, {23,47}, {16,30}, {12,45}, {4,34}, {10,25}, {12,29}, {11,32}, {22,53}, {17,52}, {9,52}, {21,32}, {16,26}, {14,43}, {19,50}, {3,42}, {13,38}, {15,49}, {23,27}, {18,31}, {14,40}, {7,49}, {16,45}, {3,41}, {23,34}, {9,44}, {22,52}, {7,52}, {19,29}, {6,37}, {5,31}, {19,34}, {21,49}, {7,40}, {3,53}, {14,55}, {2,28}, {8,29}, {21,52}, {13,44}, {8,27}, {5,46}, {4,55}, {3,33}, {13,32}, {14,51}, {11,30}, {3,50}, {19,33}, {9,28}, {3,34}, {16,53}, {4,27}, {18,28}, {16,46}, {15,29}, {18,52}, {8,43}, {2,31}, {16,38}, {18,27}, {21,33}, {1,33}, {3,54}, {19,25}, {4,42}, {12,53}, {10,41}, {12,33}, {12,39}, {5,47}, {20,27}, {22,33}, {21,44}, {1,53}, {5,51}, {24,52}, {7,25}, {9,50}, {6,41}, {21,29}, {17,40}, {23,30}, {6,28}, {21,48}, {4,35}, {18,43}, {23,46}, {13,54}, {11,28}, {2,47}, {8,55}, {5,55}, {10,27}, {10,45}, {2,40}, {4,26}, {16,54}, {13,28}, {23,50}, {10,43}, {21,36}, {6,53}, {7,44}, {9,40}, {1,27}, {22,36}, {3,37}, {22,32}, {8,39}, {9,42}, {9,34}, {13,46}, {4,39}, {12,35}, {7,36}, {17,32}, {11,50}, {23,26}, {1,37}, {8,25}, {2,32}, {18,48}, {12,51}, {11,26}, {17,48}, {5,30}, {4,54}, {10,49}, {6,40} }; // ETB56.106 // Bipartite(28,28) Valencies [12,12] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 80640 EdgesBipt[56][106]:={ {24,34}, {18,45}, {11,40}, {16,47}, {9,32}, {5,38}, {23,29}, {26,46}, {5,43}, {25,47}, {8,51}, {5,45}, {22,40}, {1,49}, {17,42}, {26,49}, {15,44}, {14,50}, {17,33}, {4,31}, {26,43}, {10,33}, {21,30}, {14,31}, {16,55}, {21,41}, {14,56}, {26,37}, {19,37}, {7,30}, {28,52}, {4,37}, {20,52}, {13,43}, {6,56}, {24,48}, {10,48}, {27,56}, {6,32}, {24,56}, {3,49}, {11,35}, {20,38}, {19,40}, {2,34}, {22,37}, {12,48}, {16,42}, {1,52}, {23,38}, {28,50}, {8,46}, {24,46}, {8,52}, {21,38}, {12,38}, {7,41}, {23,31}, {23,54}, {11,39}, {19,48}, {20,29}, {3,52}, {21,50}, {26,35}, {13,55}, {18,35}, {28,30}, {9,35}, {1,36}, {1,29}, {23,42}, {13,51}, {2,56}, {15,45}, {7,56}, {18,39}, {8,38}, {20,55}, {27,53}, {17,47}, {9,47}, {12,52}, {17,36}, {1,38}, {20,36}, {8,49}, {20,42}, {10,51}, {22,34}, {24,37}, {6,34}, {1,43}, {12,49}, {9,39}, {5,54}, {22,43}, {3,38}, {19,46}, {3,43}, {21,55}, {18,56}, {20,41}, {27,45}, {2,39}, {14,35}, {27,39}, {7,32}, {27,40}, {19,56}, {25,33}, {3,51}, {7,53}, {11,42}, {2,30}, {28,42}, {25,29}, {17,29}, {4,32}, {22,49}, {1,55}, {18,51}, {24,53}, {4,53}, {16,29}, {13,48}, {3,55}, {22,48}, {26,51}, {10,36}, {15,37}, {15,34}, {10,46}, {22,56}, {14,39}, {21,31}, {10,55}, {4,41}, {17,54}, {8,45}, {3,29}, {17,31}, {13,36}, {25,32}, {20,54}, {20,31}, {13,45}, {4,47}, {3,44}, {24,39}, {11,34}, {21,42}, {7,35}, {19,45}, {25,30}, {27,34}, {6,30}, {7,50}, {22,44}, {7,34}, {9,31}, {25,41}, {10,44}, {10,29}, {15,53}, {20,30}, {9,30}, {18,44}, {22,45}, {25,31}, {13,29}, {15,46}, {17,30}, {20,47}, {4,50}, {23,47}, {16,30}, {12,45}, {4,34}, {17,38}, {15,35}, {12,29}, {6,31}, {11,32}, {17,52}, {22,53}, {27,51}, {21,32}, {15,40}, {10,52}, {27,35}, {14,37}, {1,44}, {13,38}, {15,49}, {24,35}, {10,54}, {19,53}, {19,44}, {14,40}, {1,48}, {24,43}, {16,31}, {25,38}, {7,39}, {15,39}, {25,50}, {28,32}, {6,37}, {22,39}, {24,51}, {26,48}, {26,53}, {7,40}, {2,41}, {17,41}, {12,43}, {27,46}, {11,56}, {14,47}, {21,52}, {8,36}, {13,44}, {24,49}, {23,52}, {5,46}, {6,47}, {3,48}, {3,33}, {16,36}, {1,45}, {20,50}, {23,32}, {27,49}, {11,30}, {19,39}, {19,43}, {11,47}, {25,36}, {8,43}, {2,31}, {1,33}, {21,33}, {3,54}, {12,36}, {2,53}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {23,55}, {14,30}, {12,33}, {8,33}, {28,54}, {28,33}, {28,36}, {18,49}, {11,31}, {15,48}, {28,55}, {19,35}, {5,51}, {11,41}, {9,50}, {7,42}, {2,50}, {6,41}, {21,29}, {24,44}, {8,44}, {27,44}, {4,35}, {18,43}, {15,51}, {5,49}, {13,54}, {11,37}, {23,33}, {8,55}, {5,55}, {14,42}, {16,33}, {10,45}, {2,40}, {8,54}, {14,41}, {16,54}, {22,46}, {26,34}, {16,52}, {28,38}, {23,50}, {21,36}, {6,53}, {18,40}, {9,40}, {19,51}, {26,40}, {27,43}, {12,54}, {25,54}, {9,53}, {14,53}, {1,46}, {9,42}, {23,41}, {25,55}, {5,36}, {9,34}, {13,46}, {4,39}, {6,35}, {17,32}, {28,41}, {13,52}, {6,50}, {26,56}, {2,42}, {16,32}, {26,45}, {2,32}, {18,34}, {18,48}, {12,51}, {3,46}, {5,48}, {18,37}, {5,33}, {28,47}, {4,56}, {10,49}, {9,37}, {6,40} }; // ETB56.107 // Bipartite(28,28) Valencies [12,12] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 672 EdgesBipt[56][107]:={ {6,52}, {7,48}, {6,38}, {27,48}, {14,36}, {11,49}, {23,29}, {5,56}, {25,47}, {8,51}, {22,40}, {25,40}, {17,42}, {11,43}, {14,50}, {2,35}, {26,43}, {14,31}, {16,55}, {24,54}, {27,33}, {21,41}, {24,36}, {2,49}, {17,56}, {10,39}, {26,37}, {3,39}, {20,37}, {4,51}, {15,41}, {28,52}, {4,37}, {4,40}, {13,43}, {24,48}, {14,44}, {27,54}, {2,33}, {6,32}, {24,56}, {27,36}, {22,37}, {19,31}, {1,52}, {23,45}, {16,49}, {12,46}, {9,33}, {20,43}, {28,50}, {7,45}, {8,37}, {26,39}, {17,39}, {21,38}, {12,38}, {20,49}, {23,31}, {13,30}, {12,42}, {25,34}, {11,39}, {26,29}, {12,40}, {15,30}, {20,39}, {19,52}, {5,37}, {24,50}, {21,50}, {26,35}, {13,55}, {18,35}, {9,56}, {13,42}, {1,29}, {13,51}, {2,56}, {16,43}, {10,35}, {6,44}, {17,47}, {9,47}, {4,49}, {5,50}, {14,32}, {2,36}, {8,49}, {20,36}, {25,52}, {16,40}, {20,42}, {10,51}, {22,34}, {6,34}, {1,43}, {9,29}, {11,51}, {8,42}, {18,33}, {3,38}, {19,46}, {14,46}, {27,45}, {9,46}, {24,40}, {26,42}, {27,40}, {19,56}, {19,38}, {3,31}, {19,47}, {18,55}, {13,49}, {28,53}, {7,53}, {2,30}, {5,35}, {14,34}, {28,42}, {3,36}, {26,41}, {22,49}, {8,50}, {12,47}, {6,36}, {24,53}, {16,29}, {3,30}, {13,48}, {10,36}, {14,33}, {2,51}, {15,34}, {9,55}, {17,51}, {14,39}, {8,47}, {8,41}, {27,37}, {18,38}, {17,54}, {7,46}, {11,52}, {1,41}, {26,44}, {12,55}, {22,29}, {28,49}, {9,54}, {13,45}, {24,39}, {7,35}, {16,56}, {25,30}, {22,30}, {10,31}, {10,44}, {15,52}, {17,46}, {23,51}, {13,56}, {23,35}, {20,30}, {9,30}, {5,39}, {24,38}, {19,55}, {3,32}, {22,45}, {6,45}, {25,31}, {17,44}, {13,29}, {15,46}, {5,40}, {4,50}, {12,45}, {4,34}, {15,35}, {22,53}, {17,52}, {27,51}, {11,54}, {10,52}, {19,50}, {14,37}, {1,44}, {13,38}, {19,44}, {18,31}, {1,48}, {9,41}, {16,31}, {25,38}, {7,39}, {3,41}, {23,34}, {15,39}, {4,29}, {1,54}, {22,52}, {25,50}, {7,52}, {19,29}, {28,32}, {6,43}, {8,32}, {5,31}, {20,48}, {16,44}, {4,44}, {7,40}, {3,53}, {18,41}, {10,40}, {27,46}, {23,37}, {7,29}, {11,56}, {14,47}, {18,30}, {28,39}, {8,36}, {24,49}, {2,45}, {21,46}, {4,55}, {28,29}, {23,32}, {11,30}, {16,53}, {25,36}, {3,56}, {21,33}, {20,53}, {3,54}, {3,45}, {12,44}, {4,42}, {5,29}, {12,53}, {27,55}, {23,55}, {7,31}, {12,33}, {8,33}, {5,47}, {21,35}, {6,54}, {18,49}, {15,47}, {11,31}, {20,33}, {21,44}, {15,48}, {1,53}, {11,41}, {26,32}, {15,42}, {1,34}, {21,43}, {6,41}, {17,40}, {24,44}, {12,34}, {28,35}, {23,30}, {6,42}, {21,48}, {21,51}, {4,35}, {19,32}, {18,43}, {15,51}, {23,46}, {18,53}, {20,34}, {20,45}, {1,50}, {11,37}, {2,47}, {8,55}, {10,34}, {16,33}, {2,40}, {8,54}, {21,56}, {17,45}, {18,50}, {16,54}, {17,37}, {28,38}, {7,38}, {2,38}, {15,36}, {10,43}, {21,36}, {6,55}, {7,43}, {19,51}, {24,42}, {27,43}, {22,54}, {25,54}, {9,53}, {22,47}, {26,33}, {14,53}, {1,46}, {27,31}, {22,32}, {9,42}, {23,41}, {25,55}, {10,32}, {25,48}, {12,35}, {11,50}, {28,41}, {13,52}, {1,37}, {26,56}, {16,32}, {4,48}, {26,45}, {2,32}, {18,34}, {3,46}, {9,48}, {5,48}, {5,33}, {28,47}, {5,30}, {10,49} }; // ETB56.108 // Bipartite(28,28) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 80640 EdgesBipt[56][108]:={ {24,34}, {15,33}, {10,37}, {15,38}, {27,48}, {23,29}, {16,51}, {5,43}, {23,53}, {25,47}, {8,51}, {1,49}, {1,40}, {14,38}, {17,42}, {13,39}, {15,54}, {14,50}, {17,33}, {4,31}, {8,40}, {14,31}, {16,55}, {24,32}, {21,41}, {17,56}, {10,39}, {14,45}, {16,37}, {19,37}, {1,35}, {4,40}, {2,46}, {23,44}, {14,44}, {2,33}, {17,35}, {6,32}, {4,38}, {3,49}, {21,53}, {11,35}, {10,56}, {10,42}, {6,29}, {10,47}, {20,38}, {2,34}, {22,55}, {21,40}, {4,43}, {16,42}, {18,32}, {1,52}, {16,48}, {15,32}, {2,52}, {23,45}, {12,46}, {9,33}, {20,43}, {28,50}, {8,46}, {28,31}, {8,37}, {26,39}, {5,41}, {8,52}, {21,38}, {12,38}, {7,41}, {26,55}, {12,42}, {6,39}, {23,36}, {25,34}, {11,39}, {6,49}, {26,29}, {7,33}, {27,50}, {24,30}, {15,30}, {27,32}, {27,41}, {24,47}, {20,35}, {28,30}, {9,35}, {1,36}, {1,29}, {16,34}, {6,46}, {15,45}, {10,35}, {7,56}, {20,55}, {27,53}, {9,47}, {12,52}, {4,49}, {5,50}, {2,29}, {18,47}, {14,32}, {25,52}, {16,40}, {26,36}, {22,34}, {24,37}, {27,30}, {18,29}, {9,36}, {1,43}, {11,51}, {9,39}, {8,42}, {7,54}, {5,54}, {18,36}, {6,51}, {22,43}, {3,43}, {18,56}, {9,46}, {24,40}, {3,47}, {27,39}, {1,42}, {27,40}, {19,38}, {1,31}, {3,31}, {19,47}, {25,33}, {1,39}, {2,30}, {11,42}, {14,34}, {3,36}, {14,54}, {4,32}, {25,44}, {22,49}, {8,50}, {12,56}, {11,36}, {13,48}, {26,51}, {20,51}, {10,46}, {22,56}, {11,48}, {27,37}, {24,55}, {18,38}, {17,54}, {21,37}, {28,48}, {7,46}, {11,52}, {13,36}, {4,45}, {26,44}, {12,55}, {12,41}, {18,54}, {20,31}, {13,45}, {3,44}, {11,44}, {24,39}, {25,49}, {17,55}, {7,35}, {19,45}, {11,46}, {2,43}, {22,30}, {25,41}, {10,44}, {10,29}, {15,52}, {15,53}, {13,50}, {23,56}, {20,30}, {9,30}, {19,55}, {8,53}, {18,44}, {20,44}, {25,31}, {19,41}, {5,40}, {28,37}, {26,47}, {4,34}, {25,53}, {28,45}, {6,31}, {22,53}, {21,32}, {10,52}, {13,38}, {15,49}, {19,44}, {7,49}, {16,45}, {23,34}, {22,41}, {4,29}, {1,54}, {22,52}, {25,50}, {21,39}, {19,29}, {6,43}, {6,37}, {8,32}, {24,51}, {20,48}, {26,53}, {2,54}, {7,40}, {12,50}, {17,41}, {12,43}, {23,37}, {7,29}, {22,38}, {8,36}, {24,49}, {23,52}, {5,46}, {28,29}, {13,32}, {20,50}, {10,50}, {14,51}, {11,30}, {19,33}, {16,53}, {19,43}, {7,55}, {4,46}, {3,56}, {2,31}, {16,38}, {21,33}, {3,54}, {12,36}, {3,45}, {2,53}, {4,42}, {5,29}, {27,55}, {14,30}, {7,31}, {12,33}, {12,39}, {17,34}, {6,54}, {21,35}, {28,36}, {15,47}, {11,31}, {20,33}, {15,48}, {19,35}, {5,51}, {13,34}, {24,52}, {11,41}, {9,50}, {26,32}, {15,42}, {13,35}, {21,43}, {23,49}, {28,56}, {19,36}, {23,30}, {27,44}, {21,51}, {5,49}, {13,54}, {1,50}, {23,33}, {2,47}, {8,55}, {14,42}, {3,40}, {8,35}, {10,45}, {2,40}, {21,56}, {17,45}, {14,41}, {16,54}, {16,39}, {20,56}, {7,38}, {22,35}, {6,55}, {6,53}, {9,49}, {26,40}, {5,44}, {9,53}, {22,47}, {27,31}, {3,37}, {9,42}, {9,34}, {24,33}, {13,46}, {25,48}, {17,32}, {28,51}, {28,41}, {13,52}, {17,43}, {26,56}, {18,42}, {4,48}, {26,45}, {18,34}, {18,48}, {3,46}, {17,48}, {5,48}, {18,37}, {28,47}, {5,30}, {25,51} }; // ETB56.109 // Bipartite(28,28) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1344 EdgesBipt[56][109]:={ {16,47}, {15,38}, {11,49}, {5,38}, {23,29}, {5,56}, {16,51}, {23,53}, {8,51}, {5,45}, {22,40}, {1,49}, {17,42}, {13,39}, {26,49}, {15,44}, {11,43}, {4,31}, {20,46}, {10,33}, {14,31}, {24,32}, {24,54}, {11,53}, {17,56}, {26,37}, {6,48}, {15,56}, {20,37}, {4,40}, {13,43}, {24,48}, {10,48}, {13,40}, {14,44}, {27,54}, {2,33}, {4,38}, {21,53}, {3,49}, {11,29}, {27,36}, {2,34}, {22,55}, {19,31}, {16,42}, {16,48}, {2,52}, {8,30}, {16,49}, {12,46}, {7,45}, {8,46}, {8,52}, {26,55}, {23,31}, {6,39}, {23,36}, {25,34}, {6,49}, {26,29}, {12,31}, {20,29}, {12,40}, {27,50}, {13,47}, {15,30}, {5,37}, {24,50}, {24,47}, {9,56}, {24,31}, {24,45}, {13,42}, {20,35}, {9,35}, {1,29}, {2,56}, {6,46}, {16,43}, {10,35}, {7,56}, {18,39}, {27,53}, {9,47}, {5,50}, {17,36}, {2,29}, {18,47}, {1,38}, {14,32}, {25,52}, {20,42}, {24,37}, {27,30}, {18,29}, {9,36}, {6,34}, {11,51}, {8,42}, {18,33}, {22,43}, {3,43}, {24,41}, {20,41}, {14,46}, {2,39}, {9,46}, {14,35}, {28,40}, {7,32}, {19,38}, {1,31}, {25,33}, {18,55}, {1,39}, {5,35}, {28,42}, {3,36}, {14,54}, {26,41}, {2,44}, {1,30}, {12,56}, {23,39}, {23,40}, {18,51}, {3,30}, {3,55}, {27,52}, {1,47}, {10,36}, {14,33}, {15,37}, {10,38}, {11,33}, {17,51}, {8,47}, {4,41}, {27,37}, {18,38}, {17,54}, {21,37}, {28,34}, {17,31}, {11,52}, {13,36}, {28,49}, {25,32}, {3,44}, {4,47}, {23,48}, {21,42}, {19,45}, {25,30}, {22,30}, {5,52}, {2,43}, {12,30}, {7,50}, {22,44}, {10,31}, {10,44}, {17,46}, {13,56}, {22,50}, {9,30}, {5,39}, {19,55}, {8,53}, {18,44}, {22,45}, {16,41}, {20,44}, {13,29}, {14,52}, {8,34}, {20,47}, {4,50}, {23,47}, {25,45}, {16,30}, {12,45}, {4,34}, {12,29}, {28,45}, {6,31}, {11,32}, {27,51}, {11,54}, {10,52}, {3,42}, {27,35}, {14,37}, {13,38}, {15,49}, {19,53}, {14,40}, {7,49}, {9,41}, {3,41}, {23,34}, {4,36}, {22,41}, {1,54}, {6,43}, {6,37}, {8,32}, {22,39}, {26,48}, {26,53}, {2,54}, {21,49}, {7,40}, {20,32}, {3,53}, {25,42}, {17,50}, {18,41}, {14,55}, {27,46}, {21,52}, {28,39}, {24,49}, {4,55}, {3,33}, {28,29}, {13,32}, {1,45}, {23,32}, {19,33}, {19,39}, {19,43}, {7,55}, {16,46}, {15,29}, {11,47}, {4,46}, {25,36}, {25,39}, {3,56}, {20,53}, {3,45}, {12,44}, {2,37}, {4,42}, {27,55}, {10,41}, {23,55}, {21,34}, {7,31}, {8,33}, {5,47}, {17,34}, {21,35}, {15,55}, {7,51}, {21,44}, {15,48}, {1,53}, {19,35}, {26,50}, {24,52}, {9,50}, {26,32}, {22,51}, {13,35}, {21,43}, {7,42}, {2,50}, {21,29}, {12,34}, {8,44}, {19,36}, {28,35}, {23,30}, {21,51}, {19,32}, {15,51}, {20,45}, {8,55}, {10,34}, {16,33}, {10,45}, {2,40}, {18,50}, {14,41}, {16,54}, {17,37}, {16,39}, {20,56}, {28,38}, {7,38}, {12,32}, {15,36}, {22,35}, {21,36}, {15,31}, {6,53}, {7,43}, {9,40}, {24,42}, {26,40}, {5,44}, {22,54}, {12,54}, {25,54}, {9,53}, {4,52}, {9,43}, {26,33}, {1,46}, {25,48}, {6,35}, {11,50}, {28,51}, {28,41}, {13,52}, {17,43}, {1,37}, {26,56}, {6,33}, {18,34}, {18,48}, {12,51}, {25,56}, {9,48}, {19,54}, {17,48}, {5,48}, {5,30}, {11,38}, {10,49}, {28,46}, {27,38}, {6,40} }; // ETB56.110 // Bipartite(28,28) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 2688 EdgesBipt[56][110]:={ {15,33}, {14,36}, {9,32}, {5,38}, {23,29}, {5,56}, {8,51}, {5,45}, {22,40}, {25,40}, {13,37}, {1,40}, {14,38}, {13,39}, {26,49}, {28,44}, {17,33}, {8,40}, {10,33}, {14,31}, {16,55}, {24,32}, {27,33}, {21,41}, {14,56}, {21,54}, {2,49}, {26,37}, {14,45}, {16,37}, {3,39}, {20,37}, {4,51}, {7,30}, {15,41}, {4,37}, {2,46}, {13,43}, {24,48}, {14,29}, {10,48}, {2,33}, {24,56}, {11,35}, {11,29}, {10,42}, {22,55}, {22,37}, {12,48}, {4,43}, {16,42}, {18,32}, {1,52}, {16,48}, {2,52}, {12,46}, {20,43}, {28,50}, {7,45}, {26,39}, {24,46}, {5,41}, {17,39}, {8,52}, {12,38}, {20,49}, {26,55}, {23,31}, {13,30}, {23,36}, {11,39}, {6,49}, {22,42}, {19,48}, {20,29}, {2,48}, {19,52}, {5,37}, {27,32}, {21,50}, {9,56}, {24,31}, {20,35}, {1,36}, {23,42}, {13,51}, {6,46}, {16,43}, {6,44}, {26,52}, {20,55}, {27,53}, {17,47}, {9,47}, {4,49}, {5,50}, {17,36}, {5,34}, {14,32}, {2,36}, {8,49}, {26,36}, {27,30}, {18,29}, {9,36}, {1,43}, {12,49}, {8,42}, {5,54}, {6,51}, {22,43}, {3,38}, {21,55}, {24,41}, {9,46}, {26,42}, {28,40}, {7,32}, {19,38}, {3,31}, {19,47}, {11,42}, {5,35}, {28,42}, {19,49}, {25,29}, {8,48}, {14,54}, {25,44}, {22,49}, {1,30}, {8,56}, {12,56}, {23,40}, {18,51}, {24,53}, {16,29}, {3,30}, {13,48}, {9,51}, {27,52}, {1,47}, {21,47}, {26,51}, {10,36}, {11,33}, {9,55}, {10,55}, {8,47}, {4,41}, {9,38}, {27,37}, {18,38}, {17,54}, {7,46}, {3,29}, {4,45}, {1,51}, {13,53}, {18,54}, {26,54}, {20,31}, {4,47}, {3,44}, {11,44}, {24,39}, {23,48}, {25,30}, {22,30}, {27,34}, {6,30}, {7,50}, {22,44}, {7,34}, {9,31}, {25,41}, {15,53}, {13,56}, {25,46}, {23,35}, {19,55}, {18,44}, {17,44}, {19,41}, {15,46}, {10,30}, {4,50}, {25,45}, {15,35}, {12,29}, {25,53}, {6,31}, {22,53}, {11,54}, {15,40}, {19,50}, {27,35}, {1,44}, {24,35}, {18,31}, {14,40}, {16,45}, {3,41}, {23,34}, {15,39}, {4,29}, {9,44}, {25,50}, {7,52}, {28,32}, {6,43}, {6,37}, {8,32}, {22,39}, {7,40}, {12,43}, {18,41}, {27,46}, {23,37}, {14,47}, {21,52}, {28,39}, {24,49}, {21,46}, {3,48}, {3,33}, {16,36}, {13,32}, {1,45}, {20,50}, {23,32}, {27,49}, {11,30}, {19,39}, {3,34}, {7,55}, {16,46}, {11,47}, {4,46}, {18,52}, {3,56}, {2,31}, {16,38}, {11,45}, {20,53}, {2,53}, {4,42}, {14,30}, {21,34}, {7,31}, {8,33}, {12,39}, {5,47}, {17,34}, {6,54}, {28,33}, {28,36}, {15,55}, {27,29}, {15,47}, {11,31}, {20,33}, {1,53}, {19,35}, {24,52}, {9,50}, {15,42}, {1,34}, {21,43}, {2,50}, {6,41}, {28,56}, {10,53}, {21,29}, {17,40}, {24,44}, {12,34}, {8,44}, {19,36}, {28,35}, {23,30}, {13,33}, {18,43}, {15,51}, {18,53}, {1,56}, {13,54}, {20,45}, {16,35}, {8,55}, {10,34}, {10,45}, {2,40}, {21,56}, {17,45}, {14,41}, {17,37}, {26,34}, {16,52}, {28,38}, {7,38}, {5,42}, {2,38}, {23,50}, {10,43}, {21,36}, {15,31}, {7,43}, {19,51}, {20,40}, {22,54}, {12,54}, {25,54}, {9,53}, {22,47}, {3,37}, {25,55}, {10,32}, {4,39}, {12,35}, {6,35}, {17,32}, {11,50}, {28,41}, {13,52}, {26,56}, {2,42}, {26,45}, {6,33}, {18,34}, {12,51}, {17,48}, {5,48}, {10,49}, {25,51}, {27,38} }; // ETB56.111 // Bipartite(28,28) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 8064 EdgesBipt[56][111]:={ {24,34}, {15,33}, {18,45}, {14,36}, {16,51}, {5,43}, {23,53}, {25,47}, {8,51}, {5,45}, {1,49}, {13,37}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {8,40}, {26,43}, {21,30}, {14,31}, {16,55}, {24,32}, {27,33}, {21,41}, {14,56}, {2,49}, {21,54}, {17,56}, {16,37}, {3,39}, {15,56}, {20,37}, {1,35}, {15,41}, {4,40}, {20,52}, {13,43}, {24,48}, {14,29}, {10,48}, {14,44}, {6,32}, {17,35}, {21,53}, {10,56}, {10,42}, {6,29}, {20,38}, {19,40}, {2,34}, {22,37}, {12,48}, {1,52}, {23,38}, {12,46}, {9,33}, {28,50}, {7,45}, {8,46}, {28,31}, {8,37}, {26,39}, {24,46}, {5,41}, {21,38}, {12,38}, {7,41}, {26,55}, {23,31}, {23,54}, {12,42}, {25,34}, {6,49}, {26,29}, {22,42}, {7,33}, {3,52}, {27,50}, {19,52}, {5,37}, {24,50}, {21,50}, {26,35}, {18,35}, {9,56}, {24,31}, {20,35}, {1,36}, {19,42}, {23,42}, {16,34}, {2,56}, {17,47}, {4,49}, {12,52}, {17,36}, {2,36}, {8,49}, {20,36}, {13,41}, {20,42}, {22,34}, {24,37}, {27,30}, {9,36}, {9,29}, {12,49}, {7,54}, {5,54}, {18,36}, {6,51}, {18,56}, {27,45}, {2,39}, {9,46}, {26,42}, {3,47}, {27,39}, {28,40}, {7,32}, {27,40}, {19,56}, {19,38}, {3,31}, {19,47}, {25,33}, {1,39}, {7,53}, {5,53}, {11,42}, {5,35}, {14,34}, {28,42}, {15,50}, {25,29}, {4,32}, {22,49}, {2,44}, {23,39}, {18,51}, {24,53}, {16,29}, {1,47}, {22,48}, {10,36}, {20,51}, {11,33}, {14,39}, {19,30}, {10,55}, {8,47}, {9,38}, {21,37}, {28,48}, {7,46}, {28,34}, {11,52}, {13,36}, {12,55}, {13,53}, {9,54}, {11,44}, {4,47}, {3,44}, {19,45}, {11,46}, {25,30}, {22,30}, {10,44}, {10,29}, {15,52}, {15,53}, {23,51}, {13,56}, {22,31}, {13,50}, {9,30}, {24,38}, {8,53}, {3,32}, {18,44}, {6,45}, {20,44}, {19,41}, {13,29}, {17,30}, {10,30}, {20,47}, {4,50}, {25,45}, {4,34}, {17,38}, {12,29}, {26,31}, {11,32}, {17,52}, {9,52}, {11,54}, {14,43}, {14,37}, {10,54}, {19,53}, {19,44}, {16,31}, {25,38}, {4,36}, {15,39}, {22,41}, {1,54}, {25,50}, {21,39}, {6,43}, {6,37}, {8,32}, {22,39}, {24,51}, {26,48}, {20,48}, {16,44}, {4,44}, {2,54}, {21,49}, {7,40}, {17,41}, {18,41}, {14,55}, {26,30}, {11,56}, {18,30}, {8,29}, {24,49}, {2,45}, {21,46}, {5,46}, {25,43}, {28,29}, {16,36}, {1,45}, {23,32}, {14,51}, {11,30}, {3,50}, {16,53}, {7,55}, {27,47}, {4,46}, {25,39}, {3,56}, {2,31}, {20,53}, {3,54}, {12,36}, {3,45}, {12,44}, {7,47}, {5,29}, {16,50}, {27,55}, {21,34}, {12,33}, {8,33}, {5,47}, {6,54}, {28,33}, {15,55}, {7,51}, {28,55}, {13,34}, {1,34}, {22,51}, {6,41}, {28,35}, {23,30}, {21,48}, {4,35}, {13,33}, {15,51}, {23,46}, {5,49}, {1,56}, {1,50}, {8,55}, {16,33}, {17,53}, {3,40}, {8,35}, {2,40}, {17,45}, {14,41}, {17,37}, {26,34}, {16,52}, {28,38}, {23,50}, {12,32}, {25,35}, {10,43}, {15,31}, {6,55}, {27,42}, {9,49}, {7,43}, {18,40}, {11,55}, {19,51}, {24,42}, {26,40}, {27,43}, {20,40}, {22,54}, {4,52}, {9,43}, {1,46}, {27,31}, {22,32}, {23,41}, {15,43}, {10,32}, {25,48}, {6,35}, {13,52}, {18,42}, {26,45}, {2,32}, {18,48}, {3,46}, {9,48}, {17,48}, {18,37}, {5,33}, {28,47}, {11,38}, {10,49}, {27,38}, {6,40} }; // ETB56.112 // Bipartite(28,28) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 7068001961384645492736 EdgesBipt[56][112]:={ {24,34}, {15,33}, {6,52}, {18,45}, {7,48}, {6,38}, {10,37}, {23,29}, {26,46}, {16,51}, {22,40}, {1,40}, {11,43}, {15,54}, {2,35}, {4,31}, {8,40}, {27,33}, {21,41}, {11,53}, {2,49}, {14,56}, {26,37}, {16,37}, {19,37}, {5,32}, {15,41}, {20,52}, {6,56}, {24,48}, {10,48}, {23,44}, {27,56}, {13,40}, {27,54}, {4,38}, {21,53}, {11,29}, {20,38}, {19,40}, {22,55}, {4,43}, {16,42}, {18,32}, {16,49}, {12,46}, {26,39}, {7,41}, {20,49}, {23,36}, {11,39}, {6,49}, {3,52}, {12,40}, {13,47}, {24,30}, {5,37}, {9,56}, {24,31}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,36}, {1,29}, {23,42}, {12,37}, {2,56}, {16,43}, {7,56}, {18,39}, {2,29}, {18,46}, {14,32}, {2,36}, {25,52}, {20,42}, {10,51}, {22,34}, {24,37}, {18,29}, {9,36}, {1,43}, {9,29}, {18,36}, {5,54}, {22,43}, {3,38}, {19,46}, {21,55}, {24,41}, {14,46}, {27,45}, {14,35}, {7,32}, {27,40}, {3,31}, {19,47}, {3,51}, {13,49}, {28,53}, {7,53}, {5,53}, {2,30}, {14,34}, {28,42}, {15,50}, {25,29}, {8,48}, {4,32}, {2,44}, {8,50}, {12,47}, {1,55}, {4,53}, {16,29}, {11,36}, {3,30}, {3,55}, {9,51}, {27,52}, {1,47}, {22,48}, {26,51}, {2,51}, {10,38}, {15,34}, {17,51}, {14,39}, {19,30}, {10,55}, {8,47}, {8,41}, {24,55}, {18,38}, {28,48}, {7,46}, {28,34}, {17,31}, {11,52}, {1,41}, {4,45}, {26,44}, {22,29}, {28,49}, {25,32}, {20,54}, {26,54}, {20,31}, {13,45}, {3,44}, {17,55}, {21,42}, {7,35}, {11,46}, {16,56}, {2,43}, {12,30}, {7,34}, {10,31}, {10,44}, {23,51}, {13,56}, {25,46}, {22,50}, {23,56}, {23,35}, {13,31}, {9,30}, {5,39}, {24,38}, {6,45}, {25,31}, {17,44}, {8,34}, {17,30}, {10,30}, {20,47}, {5,40}, {4,50}, {25,45}, {16,30}, {26,47}, {17,38}, {25,53}, {6,31}, {11,32}, {17,52}, {21,32}, {15,40}, {10,52}, {27,35}, {13,38}, {19,53}, {19,44}, {18,31}, {7,49}, {1,48}, {25,38}, {7,39}, {3,41}, {4,36}, {22,41}, {4,29}, {9,44}, {1,54}, {25,50}, {21,39}, {28,32}, {24,51}, {26,53}, {16,44}, {21,49}, {17,41}, {14,55}, {23,37}, {26,30}, {8,29}, {28,39}, {8,36}, {21,46}, {5,46}, {6,47}, {3,48}, {25,43}, {16,36}, {27,49}, {19,33}, {19,39}, {3,34}, {7,55}, {15,29}, {27,47}, {4,46}, {18,52}, {25,36}, {8,43}, {25,39}, {11,45}, {1,33}, {3,45}, {12,44}, {2,37}, {16,50}, {12,53}, {10,41}, {21,34}, {12,33}, {8,33}, {12,39}, {5,47}, {17,34}, {6,54}, {21,35}, {15,55}, {15,47}, {14,49}, {22,33}, {11,31}, {20,33}, {15,48}, {28,55}, {5,51}, {24,52}, {9,50}, {26,32}, {1,34}, {13,35}, {7,42}, {2,50}, {23,49}, {28,56}, {24,44}, {28,35}, {23,30}, {6,42}, {21,48}, {19,32}, {13,33}, {18,43}, {18,53}, {13,54}, {20,45}, {1,50}, {16,35}, {8,55}, {14,42}, {10,34}, {10,45}, {8,54}, {21,56}, {17,45}, {18,50}, {14,41}, {17,37}, {20,56}, {23,50}, {12,32}, {15,36}, {27,42}, {9,49}, {19,51}, {26,40}, {20,40}, {5,44}, {22,54}, {12,54}, {4,52}, {22,36}, {9,43}, {22,47}, {26,33}, {14,53}, {27,31}, {3,37}, {9,42}, {15,43}, {4,39}, {6,35}, {11,50}, {28,41}, {13,52}, {14,48}, {2,42}, {6,33}, {12,51}, {19,54}, {17,48}, {5,33}, {5,30}, {11,38}, {28,46}, {9,37}, {27,38}, {6,40} }; // ETB56.113 // Bipartite(28,28) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3156079408054272 EdgesBipt[56][113]:={ {15,33}, {7,48}, {11,40}, {10,37}, {16,47}, {15,38}, {27,48}, {11,49}, {23,29}, {5,38}, {16,51}, {2,55}, {5,45}, {22,40}, {25,40}, {1,40}, {14,38}, {17,42}, {13,39}, {26,49}, {11,43}, {15,54}, {8,40}, {20,46}, {16,55}, {24,32}, {24,54}, {27,33}, {21,41}, {14,56}, {17,56}, {6,48}, {16,37}, {15,56}, {28,52}, {4,40}, {23,44}, {6,32}, {2,33}, {24,56}, {11,35}, {11,29}, {10,56}, {10,42}, {19,31}, {26,38}, {4,43}, {18,32}, {1,52}, {9,33}, {26,39}, {24,46}, {8,52}, {21,38}, {12,38}, {7,41}, {23,36}, {6,39}, {25,34}, {22,42}, {12,31}, {13,47}, {24,30}, {20,39}, {19,52}, {27,32}, {27,41}, {26,35}, {13,55}, {18,35}, {24,31}, {24,45}, {23,43}, {1,29}, {6,46}, {16,43}, {7,56}, {26,52}, {8,38}, {20,55}, {27,53}, {9,47}, {12,52}, {4,49}, {5,50}, {2,29}, {1,38}, {18,46}, {2,36}, {13,41}, {10,51}, {26,36}, {24,37}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {12,49}, {8,42}, {18,36}, {22,43}, {21,55}, {20,41}, {27,45}, {24,40}, {14,35}, {27,39}, {1,42}, {19,38}, {3,31}, {3,51}, {1,39}, {7,37}, {2,30}, {5,53}, {5,35}, {14,34}, {28,42}, {19,49}, {25,29}, {4,32}, {2,44}, {8,56}, {16,29}, {11,36}, {3,30}, {13,48}, {9,51}, {1,47}, {2,51}, {10,46}, {22,56}, {9,55}, {17,51}, {19,30}, {11,48}, {8,47}, {21,37}, {17,54}, {28,48}, {28,34}, {17,31}, {26,44}, {13,53}, {22,29}, {28,49}, {25,32}, {18,54}, {20,31}, {13,45}, {3,44}, {25,49}, {11,34}, {21,42}, {7,35}, {19,45}, {11,46}, {2,43}, {5,52}, {27,34}, {12,30}, {7,34}, {10,31}, {10,44}, {15,52}, {17,46}, {15,53}, {23,51}, {25,46}, {13,31}, {9,30}, {5,39}, {8,53}, {3,32}, {16,41}, {6,45}, {17,44}, {14,52}, {17,30}, {10,30}, {20,47}, {4,50}, {23,47}, {28,37}, {16,30}, {12,45}, {4,34}, {26,31}, {6,31}, {11,32}, {22,53}, {11,54}, {15,40}, {19,50}, {3,42}, {14,37}, {10,54}, {19,53}, {19,44}, {7,49}, {9,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,54}, {22,52}, {25,50}, {7,52}, {22,39}, {24,51}, {5,31}, {20,48}, {26,53}, {16,44}, {21,49}, {2,41}, {12,50}, {20,32}, {10,40}, {14,55}, {27,46}, {23,37}, {26,30}, {8,29}, {21,52}, {22,38}, {6,47}, {25,43}, {16,36}, {13,32}, {14,51}, {19,39}, {7,55}, {15,29}, {27,47}, {4,46}, {25,36}, {8,43}, {3,56}, {1,33}, {20,53}, {3,54}, {12,36}, {3,45}, {12,44}, {2,37}, {16,50}, {12,53}, {27,55}, {23,55}, {21,34}, {8,33}, {12,39}, {21,35}, {18,49}, {15,47}, {14,49}, {22,33}, {7,51}, {20,33}, {1,53}, {28,55}, {19,35}, {26,50}, {13,34}, {9,50}, {15,42}, {7,42}, {2,50}, {6,41}, {28,56}, {17,40}, {24,44}, {19,36}, {28,35}, {23,30}, {21,48}, {21,51}, {4,35}, {13,33}, {18,43}, {5,49}, {1,56}, {20,34}, {20,45}, {23,33}, {2,47}, {14,42}, {16,33}, {3,40}, {10,45}, {8,54}, {21,56}, {17,45}, {18,50}, {14,41}, {17,37}, {28,38}, {7,38}, {23,50}, {25,35}, {6,55}, {6,53}, {18,40}, {24,42}, {5,44}, {22,54}, {25,54}, {9,43}, {22,47}, {27,31}, {3,37}, {8,39}, {23,41}, {5,36}, {15,43}, {13,46}, {10,32}, {25,48}, {12,35}, {17,32}, {11,50}, {28,51}, {28,41}, {14,48}, {4,48}, {26,45}, {6,33}, {18,34}, {18,48}, {3,46}, {5,30}, {4,54}, {9,37} }; // ETB56.114 // Bipartite(28,28) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 770527199232 EdgesBipt[56][114]:={ {24,34}, {15,33}, {6,38}, {11,40}, {27,48}, {11,49}, {5,38}, {5,56}, {16,51}, {25,37}, {5,43}, {2,55}, {23,53}, {25,47}, {25,40}, {13,37}, {14,38}, {17,42}, {26,49}, {14,50}, {4,31}, {26,43}, {20,46}, {16,55}, {24,32}, {21,41}, {21,54}, {14,45}, {6,48}, {20,37}, {5,32}, {4,37}, {4,40}, {2,46}, {6,56}, {24,48}, {10,48}, {23,44}, {27,56}, {6,32}, {3,49}, {11,35}, {11,29}, {10,42}, {27,36}, {20,38}, {22,37}, {26,38}, {21,40}, {1,52}, {2,52}, {4,30}, {28,50}, {7,45}, {8,46}, {8,37}, {26,39}, {8,52}, {21,38}, {12,38}, {7,41}, {23,31}, {23,54}, {12,42}, {23,36}, {22,42}, {3,52}, {27,32}, {27,41}, {21,50}, {13,55}, {18,35}, {20,35}, {23,43}, {1,29}, {19,42}, {6,46}, {16,43}, {15,45}, {28,43}, {20,55}, {4,49}, {5,34}, {18,47}, {2,36}, {20,36}, {13,41}, {10,51}, {26,36}, {18,29}, {9,36}, {12,49}, {8,42}, {7,54}, {18,33}, {18,56}, {24,41}, {20,41}, {27,45}, {9,46}, {24,40}, {26,42}, {14,35}, {1,42}, {28,40}, {19,56}, {19,38}, {25,33}, {3,51}, {1,39}, {2,30}, {5,53}, {14,34}, {15,50}, {19,49}, {25,29}, {17,29}, {8,48}, {14,54}, {25,44}, {2,44}, {21,45}, {8,50}, {12,56}, {6,36}, {13,48}, {3,55}, {9,51}, {1,47}, {22,48}, {21,47}, {2,51}, {15,37}, {11,33}, {9,55}, {17,51}, {14,39}, {19,30}, {10,55}, {8,47}, {27,37}, {24,55}, {8,45}, {28,34}, {3,29}, {13,36}, {22,29}, {9,54}, {18,54}, {20,31}, {13,45}, {4,47}, {3,44}, {11,44}, {25,49}, {17,55}, {7,35}, {25,30}, {2,43}, {12,30}, {4,33}, {7,50}, {7,34}, {9,31}, {10,44}, {10,29}, {15,52}, {15,53}, {23,51}, {13,56}, {22,50}, {13,31}, {9,30}, {5,39}, {8,53}, {3,32}, {18,44}, {22,45}, {6,45}, {25,31}, {17,44}, {15,46}, {16,30}, {28,45}, {6,31}, {17,52}, {22,53}, {9,52}, {11,54}, {10,52}, {3,42}, {14,43}, {27,35}, {13,38}, {19,53}, {18,31}, {14,40}, {1,48}, {16,31}, {7,39}, {3,41}, {15,39}, {4,29}, {9,44}, {22,52}, {24,29}, {21,39}, {6,37}, {22,39}, {24,51}, {20,48}, {26,53}, {19,34}, {16,44}, {4,44}, {2,54}, {7,40}, {17,41}, {12,43}, {20,32}, {10,40}, {27,46}, {26,30}, {11,56}, {14,47}, {18,30}, {8,29}, {28,39}, {24,49}, {23,52}, {3,48}, {16,36}, {13,32}, {1,45}, {14,51}, {11,30}, {19,33}, {19,39}, {3,34}, {16,53}, {19,43}, {16,46}, {15,29}, {11,47}, {2,31}, {1,33}, {12,36}, {2,53}, {7,47}, {16,50}, {12,53}, {27,55}, {10,41}, {23,55}, {21,34}, {12,33}, {8,33}, {12,39}, {28,54}, {17,34}, {21,35}, {18,49}, {15,47}, {22,33}, {7,51}, {11,31}, {15,48}, {1,53}, {24,52}, {9,50}, {26,32}, {15,42}, {13,35}, {21,43}, {2,50}, {6,41}, {17,40}, {24,44}, {12,34}, {19,36}, {28,35}, {23,30}, {4,35}, {21,51}, {19,32}, {23,46}, {5,49}, {20,45}, {1,50}, {11,37}, {10,34}, {3,40}, {14,41}, {16,54}, {22,46}, {26,34}, {20,56}, {16,52}, {28,38}, {7,38}, {5,42}, {23,50}, {12,32}, {25,35}, {6,55}, {7,43}, {18,40}, {24,42}, {25,54}, {9,53}, {9,43}, {22,47}, {26,33}, {1,46}, {27,31}, {8,39}, {5,36}, {10,32}, {13,46}, {6,35}, {17,32}, {28,51}, {28,41}, {1,37}, {26,56}, {17,49}, {25,56}, {17,48}, {18,37}, {5,33}, {28,47}, {4,56}, {4,54}, {5,30}, {10,49}, {27,38} }; // ETB56.115 // Bipartite(28,28) Valencies [12,12] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 45097156608 EdgesBipt[56][115]:={ {24,34}, {15,33}, {6,52}, {18,45}, {7,48}, {6,38}, {11,40}, {16,47}, {14,36}, {23,29}, {5,56}, {23,53}, {25,47}, {5,45}, {1,49}, {25,40}, {13,37}, {13,39}, {26,49}, {28,44}, {11,43}, {14,50}, {2,35}, {17,33}, {4,31}, {26,43}, {3,35}, {24,32}, {24,54}, {2,49}, {21,54}, {10,39}, {26,37}, {6,48}, {5,32}, {4,51}, {1,35}, {8,31}, {20,52}, {4,37}, {2,46}, {6,56}, {24,48}, {10,48}, {13,40}, {14,44}, {27,54}, {2,33}, {17,35}, {3,49}, {21,53}, {11,29}, {6,29}, {20,38}, {22,55}, {19,31}, {26,38}, {21,40}, {16,42}, {15,32}, {8,30}, {16,49}, {23,38}, {20,43}, {28,50}, {24,46}, {5,41}, {8,52}, {21,38}, {12,38}, {13,30}, {23,36}, {26,29}, {22,42}, {19,48}, {12,40}, {20,29}, {3,52}, {27,32}, {26,35}, {18,35}, {23,43}, {28,30}, {1,29}, {19,42}, {12,37}, {13,51}, {2,56}, {7,56}, {18,39}, {26,52}, {8,38}, {27,53}, {17,47}, {5,50}, {12,52}, {4,49}, {17,36}, {5,34}, {14,32}, {20,36}, {16,40}, {20,42}, {27,30}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {7,54}, {18,36}, {3,38}, {19,46}, {24,41}, {14,46}, {27,45}, {24,40}, {3,47}, {27,39}, {27,40}, {19,56}, {3,31}, {25,33}, {7,53}, {11,42}, {3,36}, {25,29}, {25,44}, {8,56}, {6,36}, {23,39}, {18,51}, {24,53}, {4,53}, {3,30}, {9,51}, {1,47}, {26,51}, {14,33}, {15,37}, {15,34}, {10,46}, {11,33}, {22,56}, {9,55}, {10,55}, {8,41}, {9,38}, {27,37}, {24,55}, {8,45}, {17,31}, {4,45}, {26,44}, {1,51}, {13,53}, {26,54}, {11,44}, {13,45}, {3,44}, {24,39}, {21,42}, {7,35}, {19,45}, {16,56}, {25,30}, {22,30}, {12,30}, {22,44}, {7,34}, {25,41}, {10,29}, {23,51}, {22,31}, {13,31}, {19,55}, {8,53}, {22,45}, {17,44}, {19,41}, {15,46}, {17,30}, {20,47}, {4,50}, {28,37}, {4,34}, {17,38}, {15,35}, {12,29}, {17,52}, {22,53}, {9,52}, {27,51}, {11,54}, {19,50}, {14,37}, {15,49}, {10,54}, {18,31}, {7,49}, {1,48}, {24,43}, {9,41}, {16,31}, {16,45}, {7,39}, {4,36}, {22,41}, {1,32}, {22,52}, {24,29}, {21,39}, {7,52}, {28,32}, {6,43}, {22,39}, {5,31}, {20,48}, {19,34}, {2,54}, {21,49}, {7,40}, {12,43}, {25,42}, {17,50}, {10,40}, {14,55}, {27,46}, {23,37}, {26,30}, {11,56}, {14,47}, {21,52}, {22,38}, {13,44}, {2,45}, {23,52}, {5,46}, {6,47}, {25,43}, {3,33}, {13,32}, {20,50}, {14,51}, {11,30}, {3,50}, {16,46}, {15,29}, {11,47}, {2,31}, {1,33}, {3,45}, {12,44}, {10,41}, {23,55}, {14,30}, {21,34}, {21,35}, {28,33}, {28,36}, {18,49}, {15,47}, {20,33}, {15,48}, {28,55}, {11,41}, {9,50}, {1,34}, {7,42}, {10,53}, {8,44}, {19,36}, {6,42}, {27,44}, {4,35}, {21,48}, {19,32}, {15,51}, {18,53}, {13,54}, {20,34}, {2,47}, {16,35}, {8,55}, {5,55}, {10,34}, {16,33}, {2,40}, {21,56}, {17,45}, {18,50}, {14,41}, {16,54}, {20,56}, {7,38}, {5,42}, {23,50}, {10,43}, {11,55}, {26,40}, {12,54}, {25,54}, {9,53}, {9,43}, {1,46}, {27,31}, {8,39}, {23,41}, {25,55}, {5,36}, {15,43}, {13,46}, {10,32}, {4,39}, {12,35}, {28,51}, {28,41}, {6,50}, {1,37}, {2,42}, {16,32}, {4,48}, {2,32}, {6,33}, {18,34}, {18,48}, {17,49}, {12,51}, {25,56}, {5,48}, {18,37}, {28,47}, {28,46}, {9,37} }; // ETB56.116 // Bipartite(28,28) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5505024 EdgesBipt[56][116]:={ {24,34}, {7,48}, {6,38}, {11,40}, {16,47}, {27,48}, {26,46}, {5,56}, {16,51}, {25,47}, {22,40}, {1,49}, {25,40}, {13,37}, {1,40}, {14,38}, {17,42}, {15,54}, {8,40}, {14,31}, {24,54}, {11,53}, {21,54}, {2,49}, {17,56}, {10,39}, {26,37}, {16,37}, {3,39}, {5,32}, {4,40}, {13,43}, {6,56}, {24,48}, {14,29}, {10,48}, {27,56}, {27,54}, {2,33}, {6,32}, {24,56}, {11,35}, {11,29}, {10,56}, {20,38}, {22,55}, {22,37}, {19,31}, {26,38}, {21,40}, {18,32}, {16,48}, {23,45}, {16,49}, {23,38}, {12,46}, {9,33}, {7,45}, {8,46}, {28,31}, {8,37}, {17,39}, {12,38}, {23,31}, {13,30}, {6,39}, {23,36}, {25,34}, {26,29}, {22,42}, {7,33}, {19,48}, {27,50}, {13,47}, {2,48}, {20,39}, {19,52}, {27,41}, {24,50}, {18,35}, {24,31}, {20,35}, {23,43}, {28,30}, {9,35}, {1,29}, {23,42}, {12,37}, {13,51}, {16,43}, {26,52}, {28,43}, {12,52}, {5,34}, {18,47}, {2,36}, {8,49}, {20,36}, {13,41}, {25,52}, {20,42}, {10,51}, {27,30}, {9,36}, {1,43}, {8,42}, {7,54}, {18,33}, {18,36}, {6,51}, {3,38}, {21,55}, {20,41}, {14,46}, {14,35}, {1,42}, {28,40}, {7,32}, {19,56}, {1,31}, {25,33}, {18,55}, {1,39}, {7,37}, {2,30}, {5,53}, {5,35}, {14,34}, {28,42}, {15,50}, {25,29}, {26,41}, {4,32}, {25,44}, {22,49}, {21,45}, {8,50}, {12,56}, {12,47}, {6,36}, {1,55}, {4,53}, {13,48}, {9,51}, {27,52}, {21,47}, {14,33}, {2,51}, {20,51}, {15,34}, {11,33}, {10,55}, {9,38}, {27,37}, {24,55}, {21,37}, {8,45}, {28,34}, {11,52}, {26,44}, {28,49}, {12,41}, {20,31}, {4,47}, {3,44}, {11,44}, {24,39}, {11,34}, {11,46}, {25,30}, {2,43}, {5,52}, {12,30}, {4,33}, {22,44}, {10,31}, {9,31}, {10,29}, {17,46}, {23,51}, {13,56}, {25,46}, {22,50}, {13,50}, {23,35}, {9,30}, {5,39}, {19,55}, {3,32}, {18,44}, {22,45}, {16,41}, {6,45}, {17,44}, {13,29}, {15,46}, {16,30}, {26,47}, {4,34}, {17,38}, {12,29}, {25,53}, {6,31}, {27,51}, {21,32}, {15,40}, {3,42}, {14,43}, {10,52}, {15,49}, {10,54}, {19,53}, {14,40}, {7,49}, {24,43}, {9,41}, {16,45}, {25,38}, {3,41}, {4,36}, {15,39}, {1,54}, {24,29}, {8,32}, {22,39}, {24,51}, {5,31}, {26,53}, {19,34}, {4,44}, {2,54}, {21,49}, {7,40}, {2,41}, {17,41}, {12,50}, {20,32}, {3,53}, {17,50}, {26,30}, {2,45}, {4,55}, {28,29}, {16,36}, {10,50}, {11,30}, {3,50}, {19,39}, {7,55}, {15,29}, {11,47}, {27,47}, {18,52}, {3,56}, {21,33}, {20,53}, {3,45}, {12,44}, {7,47}, {2,37}, {12,53}, {14,30}, {28,33}, {15,55}, {27,29}, {14,49}, {21,44}, {19,35}, {26,50}, {5,51}, {24,52}, {15,42}, {1,34}, {6,41}, {23,49}, {8,44}, {19,36}, {28,35}, {23,30}, {6,42}, {21,48}, {4,35}, {19,32}, {18,53}, {13,54}, {20,45}, {1,50}, {23,33}, {2,47}, {8,55}, {5,55}, {14,42}, {10,34}, {16,33}, {17,53}, {8,54}, {17,45}, {9,45}, {16,54}, {22,46}, {17,37}, {20,56}, {28,38}, {25,35}, {10,43}, {21,36}, {15,31}, {6,53}, {7,44}, {9,49}, {18,40}, {19,51}, {27,43}, {22,54}, {4,52}, {9,43}, {1,46}, {3,37}, {22,32}, {8,39}, {9,42}, {23,41}, {5,36}, {15,43}, {7,36}, {6,35}, {17,32}, {13,52}, {26,56}, {4,48}, {18,34}, {18,48}, {3,46}, {5,48}, {11,38}, {28,46} }; // ETB56.117 // Bipartite(28,28) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5505024 EdgesBipt[56][117]:={ {15,33}, {6,52}, {18,45}, {10,37}, {15,38}, {14,36}, {11,49}, {9,32}, {5,38}, {23,29}, {25,37}, {5,43}, {2,55}, {23,53}, {5,45}, {13,39}, {28,44}, {15,44}, {11,43}, {14,50}, {2,35}, {4,31}, {26,43}, {3,35}, {20,46}, {21,30}, {16,55}, {24,32}, {27,33}, {21,41}, {24,36}, {14,45}, {6,48}, {15,56}, {20,37}, {1,35}, {4,51}, {7,30}, {28,52}, {8,31}, {20,52}, {4,37}, {14,44}, {17,35}, {4,38}, {21,53}, {3,49}, {10,42}, {27,36}, {10,47}, {19,40}, {12,48}, {16,42}, {1,52}, {15,32}, {2,52}, {4,30}, {20,43}, {28,50}, {26,39}, {24,46}, {5,41}, {7,41}, {20,49}, {23,54}, {12,42}, {6,49}, {3,52}, {12,40}, {24,30}, {15,30}, {24,47}, {21,50}, {26,35}, {13,55}, {9,56}, {19,42}, {2,56}, {6,46}, {15,45}, {10,35}, {18,39}, {6,44}, {8,38}, {20,55}, {27,53}, {17,47}, {9,47}, {4,49}, {5,50}, {17,36}, {2,29}, {1,38}, {18,46}, {16,40}, {22,34}, {24,37}, {18,29}, {6,34}, {9,29}, {9,39}, {5,54}, {22,43}, {18,56}, {24,41}, {27,45}, {9,46}, {24,40}, {26,42}, {3,47}, {27,39}, {19,38}, {3,31}, {19,47}, {3,51}, {13,49}, {28,53}, {7,53}, {11,42}, {3,36}, {17,29}, {8,48}, {14,54}, {2,44}, {1,30}, {8,56}, {23,39}, {23,40}, {18,51}, {24,53}, {16,29}, {11,36}, {3,30}, {3,55}, {22,48}, {26,51}, {10,36}, {15,37}, {10,46}, {22,56}, {17,51}, {14,39}, {11,48}, {8,47}, {8,41}, {18,38}, {17,54}, {7,46}, {3,29}, {17,31}, {13,36}, {4,45}, {1,51}, {13,53}, {22,29}, {25,32}, {9,54}, {18,54}, {26,54}, {13,45}, {23,48}, {25,49}, {17,55}, {21,42}, {7,35}, {19,45}, {16,56}, {27,34}, {6,30}, {7,50}, {7,34}, {25,41}, {15,52}, {22,31}, {23,56}, {20,30}, {13,31}, {8,53}, {20,44}, {25,31}, {19,41}, {8,34}, {14,52}, {17,30}, {10,30}, {5,40}, {23,47}, {12,45}, {15,35}, {28,45}, {11,32}, {17,52}, {22,53}, {19,50}, {1,44}, {13,38}, {24,35}, {19,44}, {18,31}, {1,48}, {16,31}, {7,39}, {23,34}, {22,41}, {4,29}, {1,32}, {25,50}, {21,39}, {7,52}, {19,29}, {6,43}, {6,37}, {26,48}, {20,48}, {16,44}, {12,43}, {25,42}, {10,40}, {14,55}, {27,46}, {23,37}, {11,56}, {14,47}, {18,30}, {8,29}, {21,52}, {22,38}, {28,39}, {8,36}, {13,44}, {24,49}, {21,46}, {25,43}, {1,45}, {20,50}, {23,32}, {14,51}, {27,49}, {19,33}, {19,43}, {4,46}, {25,36}, {8,43}, {2,31}, {16,38}, {1,33}, {3,54}, {5,29}, {16,50}, {27,55}, {10,41}, {21,34}, {12,33}, {8,33}, {12,39}, {5,47}, {28,54}, {21,35}, {28,36}, {18,49}, {7,51}, {22,33}, {11,31}, {20,33}, {15,48}, {28,55}, {13,34}, {11,41}, {26,32}, {21,43}, {7,42}, {2,50}, {10,53}, {17,40}, {12,34}, {27,44}, {21,51}, {13,33}, {15,51}, {23,46}, {1,56}, {20,34}, {11,37}, {16,35}, {3,40}, {2,40}, {14,41}, {26,34}, {16,52}, {5,42}, {2,38}, {12,32}, {6,55}, {7,43}, {9,40}, {11,55}, {24,42}, {26,40}, {5,44}, {12,54}, {9,53}, {22,36}, {22,47}, {26,33}, {14,53}, {27,31}, {25,55}, {9,34}, {10,32}, {13,46}, {4,39}, {25,48}, {12,35}, {11,50}, {28,51}, {28,41}, {6,50}, {1,37}, {2,42}, {16,32}, {26,45}, {6,33}, {2,32}, {12,51}, {17,49}, {25,56}, {9,48}, {19,54}, {18,37}, {5,33}, {28,47}, {4,56}, {4,54}, {10,49}, {9,37}, {27,38} }; // ETB56.118 // Bipartite(28,28) Valencies [13,13] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 8736 EdgesBipt[56][118]:={ {15,33}, {6,52}, {10,37}, {14,36}, {9,32}, {5,38}, {26,46}, {16,51}, {5,43}, {2,55}, {22,40}, {1,49}, {25,40}, {14,38}, {17,42}, {13,39}, {26,49}, {28,44}, {11,43}, {26,43}, {3,35}, {20,46}, {10,33}, {16,55}, {24,54}, {27,33}, {24,36}, {21,54}, {10,39}, {26,37}, {16,37}, {3,39}, {20,37}, {1,35}, {7,30}, {15,41}, {28,52}, {8,31}, {4,40}, {4,37}, {6,56}, {24,48}, {27,56}, {13,40}, {6,32}, {17,35}, {11,29}, {10,42}, {27,36}, {10,47}, {19,40}, {22,37}, {12,48}, {4,43}, {16,42}, {18,32}, {15,32}, {2,52}, {23,38}, {8,46}, {28,31}, {26,39}, {24,46}, {17,39}, {8,52}, {7,41}, {26,55}, {12,42}, {6,39}, {25,34}, {11,39}, {6,49}, {26,29}, {7,33}, {20,29}, {12,40}, {27,50}, {13,47}, {24,30}, {15,30}, {5,37}, {27,41}, {24,50}, {24,47}, {26,35}, {13,55}, {9,56}, {24,31}, {24,45}, {20,35}, {23,43}, {28,30}, {9,35}, {1,29}, {23,42}, {12,37}, {2,56}, {6,46}, {15,45}, {6,44}, {26,52}, {8,38}, {27,53}, {17,47}, {5,50}, {12,52}, {4,49}, {17,36}, {1,38}, {14,32}, {2,36}, {8,49}, {20,36}, {20,42}, {22,34}, {9,36}, {6,34}, {9,29}, {12,49}, {8,42}, {7,54}, {18,33}, {6,51}, {3,38}, {18,56}, {21,55}, {24,41}, {14,46}, {2,39}, {28,40}, {7,32}, {19,38}, {25,33}, {18,55}, {13,49}, {7,37}, {14,34}, {28,42}, {3,36}, {19,49}, {17,29}, {8,48}, {14,54}, {26,41}, {25,44}, {1,30}, {21,45}, {8,56}, {8,50}, {12,47}, {23,39}, {23,40}, {16,29}, {11,36}, {3,30}, {3,55}, {9,51}, {21,47}, {15,34}, {10,46}, {11,33}, {9,55}, {17,51}, {19,30}, {4,41}, {9,38}, {27,37}, {24,55}, {18,38}, {8,45}, {28,34}, {1,41}, {12,55}, {1,51}, {28,49}, {18,54}, {20,31}, {13,45}, {4,47}, {3,44}, {11,34}, {21,42}, {19,45}, {11,46}, {16,56}, {2,43}, {12,30}, {22,44}, {10,31}, {15,53}, {23,51}, {13,56}, {22,31}, {22,50}, {13,50}, {23,56}, {23,35}, {13,31}, {19,55}, {8,53}, {3,32}, {18,44}, {6,45}, {20,44}, {19,41}, {13,29}, {14,52}, {17,30}, {10,30}, {20,47}, {5,40}, {4,50}, {25,45}, {4,34}, {15,35}, {25,53}, {26,31}, {28,45}, {17,52}, {22,53}, {9,52}, {27,51}, {21,32}, {11,54}, {15,40}, {19,50}, {3,42}, {14,43}, {27,35}, {14,37}, {1,44}, {10,54}, {19,53}, {18,31}, {1,48}, {9,41}, {7,39}, {23,34}, {22,41}, {4,29}, {22,52}, {25,50}, {28,32}, {22,39}, {5,31}, {20,48}, {16,44}, {2,54}, {21,49}, {7,40}, {20,32}, {3,53}, {25,42}, {17,50}, {18,41}, {27,46}, {23,37}, {26,30}, {7,29}, {11,56}, {22,38}, {13,44}, {21,46}, {6,47}, {3,33}, {28,29}, {10,50}, {23,32}, {14,51}, {19,39}, {19,43}, {16,46}, {27,47}, {25,36}, {8,43}, {2,31}, {16,38}, {11,45}, {1,33}, {21,33}, {3,45}, {2,53}, {12,44}, {7,47}, {5,29}, {16,50}, {12,53}, {27,55}, {14,30}, {28,54}, {17,34}, {18,49}, {15,47}, {7,51}, {11,31}, {15,48}, {24,52}, {11,41}, {26,32}, {1,34}, {13,35}, {21,43}, {6,41}, {23,49}, {10,53}, {21,29}, {24,44}, {21,48}, {21,51}, {13,33}, {18,53}, {20,34}, {1,50}, {23,33}, {2,47}, {5,55}, {10,34}, {8,35}, {2,40}, {17,45}, {9,45}, {16,54}, {16,39}, {20,56}, {16,52}, {28,38}, {5,42}, {22,35}, {15,31}, {6,53}, {7,44}, {9,40}, {19,51}, {27,43}, {25,54}, {4,52}, {22,36}, {14,53}, {1,46}, {5,36}, {15,43}, {25,48}, {12,35}, {7,36}, {17,43}, {14,48}, {2,42}, {4,48}, {2,32}, {18,48}, {12,51}, {25,56}, {3,46}, {19,54}, {9,48}, {5,48}, {18,37}, {5,33}, {4,56}, {4,54}, {5,30}, {11,38}, {10,49}, {25,51} }; // ETB56.119 // Bipartite(7,49) Valencies [14,2] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1156489757554649333760000000 EdgesBipt[56][119]:={ {1,15}, {4,35}, {7,19}, {5,32}, {6,39}, {6,48}, {3,15}, {1,43}, {4,42}, {6,18}, {4,14}, {3,29}, {3,38}, {5,30}, {7,40}, {6,41}, {7,24}, {4,40}, {7,38}, {4,49}, {6,13}, {7,33}, {2,37}, {7,54}, {6,32}, {7,31}, {6,25}, {7,45}, {3,50}, {3,45}, {3,10}, {2,28}, {3,31}, {6,34}, {4,26}, {5,9}, {5,37}, {4,12}, {1,29}, {6,53}, {1,34}, {7,10}, {2,14}, {5,23}, {6,11}, {2,23}, {7,26}, {2,56}, {1,36}, {6,46}, {2,16}, {1,22}, {4,33}, {4,28}, {1,50}, {5,51}, {7,47}, {3,22}, {1,55}, {2,42}, {6,55}, {4,21}, {2,35}, {7,52}, {2,9}, {2,44}, {3,52}, {5,46}, {2,21}, {5,53}, {3,24}, {2,49}, {4,56}, {2,51}, {6,20}, {1,41}, {1,20}, {4,54}, {1,27}, {5,11}, {1,13}, {3,8}, {3,36}, {3,17}, {5,18}, {3,43}, {6,27}, {4,47}, {5,44}, {7,17}, {1,8}, {7,12}, {5,39}, {5,16}, {2,30}, {1,48}, {5,25}, {4,19} }; // ETB56.120 // Bipartite(28,28) Valencies [14,14] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 6661381003514780162457600000000 EdgesBipt[56][120]:={ {6,52}, {7,48}, {6,38}, {11,40}, {16,47}, {27,48}, {14,36}, {5,38}, {26,46}, {16,51}, {25,37}, {8,51}, {5,45}, {22,40}, {1,49}, {13,37}, {14,38}, {17,42}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {3,35}, {21,30}, {16,55}, {21,41}, {14,56}, {21,54}, {6,48}, {3,39}, {16,37}, {15,56}, {20,37}, {4,51}, {8,31}, {4,37}, {2,46}, {6,56}, {10,48}, {23,44}, {27,56}, {14,44}, {6,32}, {21,53}, {11,35}, {10,56}, {10,42}, {27,36}, {19,40}, {2,34}, {19,31}, {26,38}, {4,43}, {18,32}, {15,32}, {2,52}, {16,49}, {9,33}, {20,43}, {28,31}, {8,37}, {5,41}, {21,38}, {20,49}, {23,31}, {13,30}, {23,36}, {25,34}, {11,39}, {22,42}, {12,31}, {19,48}, {20,29}, {3,52}, {2,48}, {20,39}, {19,52}, {5,37}, {27,32}, {24,47}, {21,50}, {24,31}, {24,45}, {13,42}, {20,35}, {23,43}, {1,29}, {12,37}, {2,56}, {6,46}, {16,43}, {7,56}, {6,44}, {26,52}, {28,43}, {20,55}, {5,50}, {4,49}, {5,34}, {1,38}, {18,46}, {14,32}, {2,36}, {8,49}, {13,41}, {26,36}, {22,34}, {24,37}, {6,34}, {9,29}, {11,51}, {12,49}, {18,36}, {5,54}, {3,43}, {18,56}, {24,41}, {20,41}, {14,46}, {9,46}, {26,42}, {3,47}, {27,39}, {1,42}, {7,32}, {27,40}, {19,56}, {3,31}, {19,47}, {25,33}, {3,51}, {13,49}, {28,53}, {2,30}, {5,53}, {14,34}, {3,36}, {25,29}, {17,29}, {14,54}, {2,44}, {1,30}, {21,45}, {12,47}, {6,36}, {23,39}, {23,40}, {24,53}, {4,53}, {16,29}, {11,36}, {3,55}, {27,52}, {22,48}, {10,36}, {20,51}, {10,38}, {10,46}, {22,56}, {11,48}, {8,47}, {4,41}, {9,38}, {8,41}, {24,55}, {18,38}, {17,54}, {21,37}, {8,45}, {11,52}, {1,41}, {4,45}, {26,44}, {12,55}, {13,53}, {28,49}, {9,54}, {12,41}, {18,54}, {26,54}, {20,31}, {13,45}, {4,47}, {3,44}, {11,44}, {24,39}, {23,48}, {25,49}, {21,42}, {7,35}, {25,30}, {22,30}, {6,30}, {4,33}, {22,44}, {25,41}, {10,44}, {15,52}, {17,46}, {23,51}, {25,46}, {22,50}, {13,50}, {23,56}, {23,35}, {9,30}, {19,55}, {8,53}, {3,32}, {18,44}, {16,41}, {13,29}, {14,52}, {17,30}, {10,30}, {20,47}, {23,47}, {25,45}, {28,37}, {12,45}, {17,38}, {15,35}, {12,29}, {25,53}, {28,45}, {11,32}, {27,51}, {15,40}, {10,52}, {27,35}, {13,38}, {24,35}, {10,54}, {19,44}, {14,40}, {24,43}, {9,41}, {16,31}, {16,45}, {25,38}, {7,39}, {15,39}, {4,29}, {1,54}, {22,52}, {25,50}, {24,29}, {7,52}, {24,51}, {26,48}, {2,54}, {21,49}, {7,40}, {17,41}, {12,43}, {25,42}, {17,50}, {10,40}, {26,30}, {11,56}, {18,30}, {8,29}, {22,38}, {28,39}, {24,49}, {21,46}, {23,52}, {5,46}, {4,55}, {3,48}, {28,29}, {1,45}, {10,50}, {23,32}, {19,39}, {16,53}, {19,43}, {7,55}, {11,47}, {27,47}, {18,52}, {8,43}, {3,56}, {1,33}, {21,33}, {20,53}, {7,47}, {5,29}, {12,53}, {27,55}, {23,55}, {14,30}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {6,54}, {28,33}, {15,55}, {15,47}, {7,51}, {11,31}, {20,33}, {15,48}, {1,53}, {28,55}, {19,35}, {26,50}, {13,34}, {9,50}, {26,32}, {1,34}, {2,50}, {21,29}, {19,36}, {28,35}, {6,42}, {27,44}, {4,35}, {19,32}, {13,33}, {15,51}, {5,49}, {13,54}, {20,45}, {1,50}, {16,35}, {8,55}, {14,42}, {10,34}, {16,33}, {17,53}, {3,40}, {8,35}, {2,40}, {17,45}, {9,45}, {18,50}, {22,46}, {17,37}, {16,39}, {26,34}, {5,42}, {2,38}, {15,36}, {15,31}, {7,44}, {9,49}, {7,43}, {18,40}, {11,55}, {19,51}, {26,40}, {27,43}, {22,54}, {25,54}, {9,53}, {22,36}, {1,46}, {27,31}, {8,39}, {22,32}, {9,42}, {9,34}, {24,33}, {15,43}, {13,46}, {10,32}, {4,39}, {12,35}, {7,36}, {28,51}, {28,41}, {6,50}, {14,48}, {1,37}, {26,56}, {2,42}, {18,42}, {2,32}, {18,34}, {18,48}, {17,49}, {12,51}, {5,33}, {28,47}, {5,30}, {9,37}, {6,40} }; // ETB56.121 // Bipartite(16,40) Valencies [15,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[56][121]:={ {6,48}, {11,53}, {15,52}, {16,41}, {2,24}, {1,20}, {5,17}, {13,52}, {9,28}, {13,32}, {2,33}, {2,46}, {5,34}, {11,56}, {13,40}, {14,19}, {15,24}, {3,40}, {10,37}, {4,50}, {12,56}, {7,48}, {5,55}, {2,51}, {12,22}, {16,47}, {8,42}, {4,29}, {9,55}, {1,27}, {12,38}, {7,41}, {7,44}, {7,54}, {5,56}, {4,19}, {9,44}, {14,38}, {12,39}, {12,41}, {15,44}, {2,27}, {10,33}, {3,35}, {2,26}, {7,34}, {11,41}, {16,18}, {16,25}, {12,35}, {15,54}, {15,43}, {8,25}, {2,41}, {12,34}, {1,30}, {16,23}, {14,28}, {8,44}, {4,23}, {8,31}, {13,29}, {12,50}, {16,29}, {2,42}, {10,53}, {6,22}, {15,25}, {3,18}, {11,28}, {13,56}, {15,45}, {16,30}, {6,47}, {3,46}, {10,48}, {6,40}, {6,31}, {11,33}, {1,17}, {4,22}, {9,29}, {1,18}, {12,17}, {9,26}, {15,40}, {1,44}, {5,29}, {8,47}, {9,19}, {11,49}, {10,52}, {16,54}, {14,30}, {9,41}, {7,32}, {3,56}, {16,52}, {4,45}, {7,49}, {11,22}, {11,31}, {2,35}, {1,22}, {15,27}, {6,43}, {4,33}, {5,23}, {9,54}, {4,21}, {3,20}, {10,31}, {6,49}, {15,42}, {10,21}, {14,53}, {2,48}, {9,50}, {1,29}, {8,17}, {3,39}, {7,53}, {11,21}, {4,35}, {9,25}, {8,36}, {2,32}, {7,26}, {13,33}, {14,48}, {15,53}, {16,32}, {1,23}, {6,24}, {14,55}, {13,50}, {14,47}, {9,37}, {5,46}, {5,49}, {1,45}, {1,28}, {4,28}, {10,45}, {4,46}, {16,38}, {15,36}, {10,51}, {5,42}, {12,26}, {12,33}, {13,30}, {4,36}, {10,43}, {7,47}, {12,27}, {16,51}, {8,32}, {8,21}, {3,19}, {12,23}, {14,22}, {5,31}, {11,24}, {11,39}, {8,40}, {12,19}, {8,23}, {14,34}, {1,39}, {10,32}, {11,55}, {6,19}, {11,46}, {6,54}, {5,51}, {13,27}, {13,46}, {13,42}, {16,34}, {14,25}, {4,37}, {3,53}, {15,18}, {4,40}, {10,35}, {3,30}, {3,24}, {6,45}, {14,44}, {10,36}, {3,48}, {8,50}, {15,51}, {9,17}, {6,25}, {1,47}, {4,49}, {14,43}, {15,38}, {8,49}, {5,26}, {9,39}, {13,38}, {10,56}, {3,38}, {3,28}, {8,20}, {7,24}, {8,51}, {10,20}, {6,39}, {2,55}, {6,37}, {11,34}, {6,20}, {16,50}, {11,43}, {2,30}, {13,17}, {13,45}, {7,37}, {13,20}, {5,35}, {1,54}, {2,18}, {9,31}, {7,52}, {5,37}, {2,43}, {9,21}, {3,36}, {7,42}, {7,21}, {14,27}, {5,52}, {12,18}, {1,36}, {16,55}, {14,26} }; // ETB56.122 // Bipartite(16,40) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 528361508044800000000 EdgesBipt[56][122]:={ {8,48}, {11,53}, {15,52}, {5,17}, {11,20}, {11,36}, {4,24}, {4,26}, {15,46}, {10,37}, {1,56}, {4,50}, {12,56}, {8,30}, {16,40}, {6,17}, {4,56}, {5,55}, {5,38}, {2,51}, {12,32}, {7,38}, {8,54}, {1,32}, {3,45}, {1,27}, {7,44}, {1,40}, {10,26}, {7,54}, {7,22}, {12,39}, {4,31}, {2,19}, {9,49}, {15,44}, {1,19}, {2,27}, {12,42}, {5,47}, {12,55}, {9,43}, {3,37}, {2,26}, {7,51}, {15,54}, {7,36}, {14,50}, {15,43}, {3,52}, {13,47}, {12,34}, {9,35}, {14,28}, {4,23}, {12,50}, {16,29}, {2,42}, {13,55}, {10,53}, {11,28}, {2,45}, {16,30}, {2,34}, {14,33}, {1,17}, {9,48}, {5,22}, {7,20}, {9,32}, {14,36}, {16,24}, {9,27}, {16,53}, {9,19}, {2,37}, {16,54}, {7,46}, {8,45}, {4,42}, {9,41}, {5,25}, {2,53}, {7,43}, {11,31}, {2,35}, {11,44}, {15,27}, {1,51}, {3,44}, {4,47}, {5,23}, {10,29}, {3,20}, {13,22}, {6,49}, {15,19}, {10,21}, {13,49}, {6,18}, {16,37}, {7,30}, {3,39}, {13,31}, {11,21}, {9,25}, {6,33}, {13,33}, {16,32}, {11,23}, {6,50}, {11,29}, {5,30}, {6,44}, {9,56}, {15,35}, {12,47}, {4,48}, {5,46}, {8,53}, {13,23}, {5,49}, {8,22}, {14,42}, {8,56}, {13,25}, {13,54}, {10,42}, {15,20}, {4,55}, {14,41}, {9,51}, {1,33}, {10,45}, {3,29}, {16,48}, {1,43}, {16,38}, {8,37}, {15,36}, {10,51}, {12,26}, {16,22}, {13,30}, {10,43}, {5,41}, {9,40}, {5,54}, {11,52}, {14,17}, {8,32}, {16,45}, {8,21}, {1,24}, {14,18}, {12,23}, {5,31}, {1,49}, {11,39}, {6,26}, {8,40}, {12,40}, {3,23}, {14,34}, {11,55}, {14,49}, {3,21}, {1,25}, {6,41}, {6,28}, {1,35}, {13,46}, {14,20}, {5,39}, {14,25}, {16,21}, {16,56}, {7,28}, {6,42}, {3,53}, {4,40}, {10,35}, {6,36}, {2,21}, {5,33}, {11,37}, {2,29}, {10,27}, {8,38}, {4,34}, {14,44}, {10,34}, {15,22}, {15,51}, {9,17}, {10,18}, {8,24}, {6,25}, {13,41}, {10,50}, {14,52}, {9,33}, {6,34}, {3,55}, {11,47}, {15,38}, {16,46}, {4,18}, {15,28}, {6,52}, {13,38}, {12,48}, {10,19}, {11,45}, {3,28}, {12,24}, {7,27}, {8,46}, {1,41}, {1,48}, {3,31}, {9,24}, {12,31}, {3,47}, {6,20}, {7,35}, {13,39}, {13,17}, {15,30}, {2,18}, {7,52}, {7,19}, {2,43}, {3,36}, {4,39}, {8,29}, {4,32}, {12,18}, {2,50}, {14,26} }; // ETB56.123 // Bipartite(21,35) Valencies [15,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16851429847203840000000 EdgesBipt[56][123]:={ {6,52}, {7,48}, {6,38}, {11,40}, {16,47}, {11,49}, {5,22}, {16,51}, {19,26}, {11,25}, {4,28}, {5,43}, {8,51}, {12,22}, {15,44}, {21,30}, {21,41}, {11,53}, {14,56}, {8,23}, {10,39}, {16,37}, {3,39}, {21,28}, {7,30}, {4,40}, {20,52}, {13,43}, {6,56}, {10,48}, {14,44}, {2,33}, {11,35}, {6,29}, {19,40}, {20,38}, {12,48}, {18,32}, {15,32}, {2,52}, {8,30}, {9,33}, {20,43}, {8,46}, {8,37}, {20,24}, {5,41}, {17,39}, {7,41}, {20,49}, {12,26}, {7,27}, {19,22}, {11,39}, {6,49}, {3,52}, {12,40}, {19,48}, {20,29}, {13,24}, {15,30}, {18,35}, {13,42}, {20,35}, {1,36}, {1,29}, {7,56}, {18,39}, {9,47}, {4,49}, {5,50}, {6,24}, {5,34}, {18,47}, {18,46}, {20,36}, {16,40}, {20,42}, {8,22}, {1,43}, {18,26}, {18,33}, {5,54}, {3,38}, {5,27}, {18,56}, {21,55}, {14,35}, {3,31}, {12,27}, {19,47}, {1,39}, {13,49}, {7,37}, {2,30}, {11,42}, {14,34}, {15,50}, {4,32}, {2,44}, {1,30}, {19,27}, {8,50}, {14,28}, {12,47}, {6,36}, {4,53}, {3,55}, {9,51}, {2,24}, {3,24}, {2,51}, {15,37}, {14,23}, {10,38}, {10,46}, {11,33}, {10,55}, {9,38}, {9,26}, {21,37}, {17,31}, {13,36}, {2,23}, {20,22}, {12,55}, {1,51}, {9,54}, {15,23}, {12,41}, {18,54}, {4,47}, {13,45}, {20,31}, {3,25}, {17,55}, {21,42}, {7,35}, {11,46}, {4,33}, {1,22}, {7,34}, {10,31}, {9,31}, {18,25}, {17,46}, {13,22}, {15,53}, {13,56}, {1,25}, {13,50}, {13,31}, {9,30}, {8,53}, {19,55}, {3,32}, {14,27}, {7,28}, {6,45}, {19,41}, {13,29}, {15,46}, {5,40}, {16,30}, {7,23}, {6,22}, {10,25}, {17,38}, {12,29}, {6,31}, {11,32}, {17,52}, {9,52}, {16,26}, {11,54}, {10,52}, {19,50}, {14,37}, {1,44}, {13,38}, {7,49}, {16,31}, {16,45}, {3,41}, {15,39}, {1,32}, {9,44}, {19,29}, {6,43}, {8,32}, {9,24}, {17,25}, {19,34}, {16,44}, {2,54}, {21,49}, {12,50}, {17,41}, {12,43}, {2,26}, {3,53}, {14,55}, {11,56}, {8,29}, {9,23}, {8,36}, {2,45}, {3,48}, {20,50}, {14,51}, {19,33}, {3,34}, {19,43}, {7,55}, {18,28}, {15,29}, {11,47}, {4,46}, {8,43}, {2,31}, {16,38}, {20,28}, {12,36}, {3,45}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {21,34}, {12,33}, {5,47}, {17,34}, {21,35}, {18,49}, {7,51}, {14,49}, {21,44}, {1,53}, {13,35}, {7,42}, {21,27}, {10,53}, {17,24}, {12,34}, {8,44}, {19,36}, {6,28}, {16,23}, {6,42}, {4,35}, {21,48}, {21,51}, {15,51}, {18,53}, {20,45}, {1,50}, {11,28}, {2,47}, {1,23}, {10,24}, {14,42}, {5,55}, {10,27}, {10,34}, {16,33}, {17,53}, {17,27}, {10,45}, {2,40}, {21,56}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {16,54}, {13,28}, {20,56}, {16,24}, {16,52}, {3,27}, {2,38}, {15,36}, {7,44}, {18,40}, {9,40}, {12,54}, {1,46}, {8,39}, {5,36}, {15,43}, {10,32}, {4,39}, {6,35}, {17,32}, {13,52}, {6,50}, {14,48}, {1,37}, {8,25}, {18,42}, {11,26}, {3,46}, {19,54}, {17,48}, {5,48}, {15,25}, {5,33}, {4,56}, {4,54}, {9,37}, {21,23} }; // ETB56.124 // Bipartite(21,35) Valencies [15,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1410877440 EdgesBipt[56][124]:={ {15,33}, {18,45}, {7,48}, {19,28}, {11,40}, {16,47}, {9,32}, {6,25}, {5,22}, {5,56}, {16,51}, {19,26}, {12,22}, {3,26}, {1,49}, {14,38}, {13,39}, {15,44}, {14,50}, {2,35}, {21,30}, {14,31}, {15,27}, {21,41}, {11,53}, {14,56}, {3,23}, {10,39}, {16,37}, {3,39}, {16,28}, {4,51}, {7,30}, {15,41}, {8,31}, {4,40}, {21,22}, {2,46}, {6,56}, {13,43}, {13,27}, {10,48}, {13,40}, {6,32}, {3,49}, {11,29}, {6,29}, {10,47}, {12,28}, {4,24}, {16,42}, {1,52}, {2,52}, {8,30}, {20,43}, {8,46}, {8,37}, {20,24}, {17,39}, {8,52}, {21,38}, {7,41}, {12,26}, {7,27}, {19,22}, {6,39}, {10,26}, {20,29}, {17,26}, {13,24}, {15,30}, {12,23}, {20,39}, {19,52}, {21,50}, {13,55}, {13,42}, {9,35}, {1,36}, {16,43}, {7,56}, {15,45}, {20,55}, {17,47}, {9,47}, {12,52}, {17,36}, {6,24}, {18,47}, {14,32}, {8,49}, {16,40}, {20,42}, {18,29}, {6,34}, {12,49}, {11,51}, {8,42}, {4,22}, {18,36}, {5,54}, {18,33}, {3,38}, {3,43}, {5,28}, {9,46}, {14,35}, {3,47}, {1,42}, {7,32}, {19,56}, {1,31}, {3,31}, {11,22}, {18,55}, {7,37}, {6,27}, {5,53}, {5,35}, {3,36}, {19,23}, {19,49}, {17,29}, {20,25}, {1,30}, {12,56}, {18,51}, {4,53}, {11,36}, {9,51}, {10,36}, {2,51}, {15,37}, {10,38}, {15,34}, {10,46}, {11,33}, {18,22}, {13,25}, {14,39}, {21,31}, {11,48}, {19,30}, {4,41}, {9,38}, {8,41}, {17,54}, {21,37}, {8,45}, {3,29}, {17,31}, {1,41}, {4,45}, {12,55}, {9,54}, {11,44}, {4,47}, {7,35}, {2,43}, {5,52}, {12,30}, {4,33}, {7,50}, {11,24}, {10,31}, {10,29}, {15,52}, {17,46}, {13,56}, {1,25}, {19,55}, {18,44}, {14,27}, {13,29}, {8,34}, {15,46}, {4,50}, {17,38}, {9,52}, {21,32}, {12,25}, {14,37}, {1,44}, {15,49}, {10,54}, {19,53}, {19,44}, {6,23}, {16,45}, {7,39}, {4,36}, {4,29}, {21,39}, {6,43}, {7,24}, {4,44}, {2,54}, {5,23}, {20,32}, {3,53}, {18,41}, {2,28}, {8,36}, {8,27}, {2,45}, {4,55}, {3,48}, {13,32}, {14,26}, {1,45}, {9,28}, {3,34}, {16,46}, {11,47}, {18,24}, {16,38}, {11,45}, {1,33}, {20,28}, {3,54}, {12,44}, {5,26}, {19,25}, {2,37}, {16,50}, {12,53}, {14,30}, {7,31}, {8,33}, {17,34}, {20,27}, {21,35}, {20,33}, {14,24}, {19,35}, {5,51}, {13,34}, {11,41}, {9,50}, {7,22}, {15,42}, {1,34}, {2,50}, {21,27}, {10,53}, {20,23}, {8,44}, {6,28}, {6,42}, {21,48}, {13,33}, {18,53}, {5,49}, {20,34}, {7,26}, {2,47}, {16,35}, {5,55}, {10,34}, {17,53}, {13,23}, {2,40}, {21,56}, {9,45}, {14,41}, {18,50}, {16,54}, {13,28}, {20,56}, {16,52}, {7,38}, {2,38}, {15,36}, {10,43}, {15,31}, {6,55}, {18,40}, {9,40}, {11,55}, {19,51}, {20,40}, {1,27}, {5,44}, {5,25}, {12,54}, {17,23}, {10,23}, {9,43}, {1,46}, {14,22}, {9,42}, {12,35}, {21,24}, {11,50}, {17,43}, {14,48}, {21,26}, {1,37}, {8,25}, {2,42}, {16,32}, {4,48}, {6,33}, {2,32}, {18,48}, {17,49}, {12,51}, {3,46}, {19,54}, {17,48}, {15,25}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB56.125 // Bipartite(28,28) Valencies [15,15] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 80640 EdgesBipt[56][125]:={ {6,52}, {11,40}, {16,47}, {14,36}, {11,49}, {9,32}, {23,29}, {26,46}, {5,56}, {16,51}, {5,43}, {23,53}, {8,51}, {5,45}, {25,40}, {1,40}, {17,42}, {26,49}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {3,35}, {20,46}, {21,30}, {14,31}, {16,55}, {21,41}, {11,53}, {14,56}, {26,37}, {6,48}, {16,37}, {15,56}, {20,37}, {5,32}, {1,35}, {7,30}, {15,41}, {28,52}, {4,40}, {2,46}, {13,43}, {24,48}, {10,48}, {23,44}, {13,40}, {27,54}, {6,32}, {2,33}, {11,35}, {10,56}, {6,29}, {20,38}, {2,34}, {22,55}, {19,31}, {26,38}, {12,48}, {4,43}, {16,42}, {1,52}, {2,52}, {23,45}, {4,30}, {16,49}, {23,38}, {9,33}, {28,50}, {7,45}, {28,31}, {8,37}, {26,39}, {24,46}, {17,39}, {8,52}, {21,38}, {12,38}, {20,49}, {26,55}, {13,30}, {6,39}, {25,34}, {26,29}, {22,42}, {7,33}, {12,40}, {19,48}, {20,29}, {27,50}, {13,47}, {24,30}, {2,48}, {5,37}, {27,32}, {24,50}, {21,50}, {26,35}, {13,55}, {9,56}, {24,31}, {20,35}, {23,43}, {28,30}, {9,35}, {1,36}, {12,37}, {13,51}, {16,34}, {2,56}, {6,46}, {16,43}, {10,35}, {6,44}, {18,39}, {20,55}, {27,53}, {9,47}, {12,52}, {5,34}, {18,47}, {2,36}, {8,49}, {13,41}, {25,52}, {20,42}, {10,51}, {22,34}, {9,36}, {1,43}, {12,49}, {11,51}, {7,54}, {5,54}, {18,33}, {18,36}, {19,46}, {21,55}, {24,41}, {14,46}, {27,45}, {2,39}, {24,40}, {26,42}, {3,47}, {27,39}, {28,40}, {7,32}, {27,40}, {19,56}, {19,38}, {3,31}, {18,55}, {5,35}, {14,34}, {28,42}, {15,50}, {3,36}, {19,49}, {25,29}, {8,48}, {2,44}, {1,30}, {8,56}, {23,39}, {23,40}, {18,51}, {3,30}, {1,47}, {26,51}, {10,36}, {14,33}, {10,38}, {15,34}, {9,55}, {17,51}, {21,31}, {19,30}, {8,47}, {8,41}, {9,38}, {17,54}, {21,37}, {3,29}, {17,31}, {13,36}, {4,45}, {26,44}, {12,55}, {13,53}, {22,29}, {12,41}, {18,54}, {26,54}, {11,44}, {13,45}, {24,39}, {17,55}, {21,42}, {19,45}, {16,56}, {25,30}, {2,43}, {22,30}, {27,34}, {12,30}, {6,30}, {7,34}, {25,41}, {10,44}, {15,52}, {17,46}, {15,53}, {23,51}, {22,31}, {22,50}, {23,56}, {23,35}, {9,30}, {5,39}, {24,38}, {8,53}, {3,32}, {22,45}, {25,31}, {17,44}, {19,41}, {15,46}, {10,30}, {5,40}, {20,47}, {25,45}, {4,34}, {25,53}, {6,31}, {11,32}, {17,52}, {22,53}, {27,51}, {21,32}, {11,54}, {10,52}, {3,42}, {19,50}, {14,37}, {1,44}, {13,38}, {15,49}, {24,35}, {19,53}, {18,31}, {1,48}, {9,41}, {25,38}, {7,39}, {23,34}, {4,36}, {15,39}, {22,41}, {4,29}, {1,32}, {1,54}, {25,50}, {24,29}, {7,52}, {19,29}, {28,32}, {6,37}, {24,51}, {19,34}, {16,44}, {4,44}, {2,54}, {21,49}, {7,40}, {17,41}, {20,32}, {17,50}, {18,41}, {10,40}, {14,55}, {7,29}, {11,56}, {14,47}, {22,38}, {28,39}, {8,36}, {24,49}, {21,46}, {5,46}, {3,48}, {25,43}, {3,33}, {28,29}, {13,32}, {1,45}, {20,50}, {3,34}, {16,53}, {16,46}, {11,47}, {27,47}, {4,46}, {18,52}, {25,36}, {8,43}, {25,39}, {3,56}, {2,31}, {11,45}, {1,33}, {21,33}, {20,53}, {3,45}, {12,44}, {7,47}, {2,37}, {5,29}, {16,50}, {27,55}, {10,41}, {7,31}, {12,33}, {8,33}, {5,47}, {28,54}, {6,54}, {21,35}, {28,33}, {27,29}, {14,49}, {22,33}, {15,48}, {28,55}, {19,35}, {26,50}, {24,52}, {26,32}, {7,42}, {23,49}, {10,53}, {21,29}, {24,44}, {8,44}, {19,36}, {6,42}, {4,35}, {21,48}, {13,33}, {18,43}, {15,51}, {23,46}, {18,53}, {1,56}, {13,54}, {20,34}, {20,45}, {11,37}, {2,47}, {8,55}, {14,42}, {10,45}, {8,54}, {9,45}, {14,41}, {18,50}, {16,54}, {17,37}, {16,39}, {20,56}, {28,38}, {5,42}, {23,50}, {12,32}, {15,36}, {10,43}, {15,31}, {27,42}, {9,49}, {7,43}, {11,55}, {26,40}, {27,43}, {5,44}, {12,54}, {9,53}, {4,52}, {22,36}, {22,47}, {14,53}, {3,37}, {22,32}, {15,43}, {4,39}, {12,35}, {7,36}, {6,35}, {28,51}, {28,41}, {13,52}, {14,48}, {1,37}, {2,42}, {18,42}, {4,48}, {6,33}, {18,34}, {12,51}, {17,49}, {3,46}, {9,48}, {17,48}, {4,56}, {11,38}, {10,49}, {9,37}, {25,51}, {27,38}, {6,40} }; // ETB56.126 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[56][126]:={ {24,34}, {6,38}, {10,37}, {16,47}, {14,36}, {11,49}, {6,25}, {4,28}, {5,43}, {23,53}, {5,45}, {3,26}, {8,26}, {1,49}, {1,40}, {15,44}, {11,43}, {15,54}, {14,50}, {3,35}, {20,46}, {10,33}, {21,30}, {24,54}, {10,39}, {14,45}, {16,37}, {19,37}, {16,28}, {1,35}, {4,51}, {8,31}, {4,40}, {4,37}, {2,46}, {6,56}, {13,43}, {14,29}, {23,44}, {13,40}, {14,44}, {2,33}, {6,32}, {24,56}, {3,49}, {21,53}, {6,29}, {11,27}, {19,40}, {20,38}, {20,26}, {22,55}, {19,31}, {12,48}, {21,40}, {15,32}, {2,52}, {8,30}, {16,49}, {23,38}, {20,43}, {8,46}, {8,37}, {5,41}, {8,52}, {21,38}, {7,41}, {12,26}, {13,30}, {6,39}, {23,36}, {11,39}, {10,26}, {22,42}, {7,33}, {12,40}, {23,28}, {17,26}, {2,48}, {20,39}, {5,37}, {19,52}, {24,50}, {21,50}, {13,55}, {18,35}, {9,56}, {24,31}, {24,45}, {13,42}, {20,35}, {9,35}, {19,42}, {23,42}, {2,56}, {15,45}, {7,56}, {18,39}, {8,38}, {17,47}, {9,47}, {12,52}, {5,50}, {17,36}, {2,29}, {18,46}, {2,36}, {8,49}, {13,41}, {16,40}, {24,37}, {18,29}, {6,34}, {11,51}, {7,54}, {5,54}, {18,33}, {3,38}, {3,43}, {18,56}, {24,41}, {14,46}, {20,41}, {2,39}, {14,35}, {3,47}, {3,31}, {19,47}, {13,49}, {6,27}, {7,53}, {11,42}, {19,49}, {8,48}, {14,54}, {4,32}, {22,49}, {1,30}, {19,27}, {14,28}, {12,56}, {12,47}, {6,36}, {23,40}, {1,55}, {18,51}, {4,53}, {11,36}, {3,30}, {3,55}, {13,48}, {9,51}, {1,47}, {22,48}, {10,36}, {14,33}, {15,34}, {10,46}, {22,56}, {13,25}, {21,25}, {14,39}, {10,55}, {4,41}, {9,38}, {17,54}, {21,37}, {8,45}, {3,29}, {1,41}, {1,51}, {13,53}, {22,29}, {9,54}, {12,41}, {20,54}, {3,44}, {24,39}, {23,48}, {11,34}, {17,55}, {17,28}, {7,35}, {19,45}, {11,46}, {16,56}, {2,43}, {5,52}, {7,50}, {7,34}, {9,31}, {10,29}, {18,25}, {15,52}, {24,25}, {23,51}, {13,56}, {1,25}, {22,31}, {20,30}, {13,31}, {19,55}, {14,27}, {18,44}, {22,45}, {16,41}, {20,44}, {10,30}, {5,40}, {23,47}, {16,30}, {12,45}, {10,25}, {17,38}, {12,29}, {6,31}, {17,52}, {9,52}, {12,25}, {11,54}, {3,42}, {14,37}, {1,44}, {13,38}, {24,35}, {19,53}, {18,31}, {24,43}, {16,31}, {7,39}, {4,36}, {15,39}, {22,41}, {1,32}, {9,44}, {1,54}, {24,29}, {19,29}, {8,32}, {22,39}, {24,27}, {20,48}, {7,40}, {12,50}, {17,41}, {20,32}, {2,26}, {17,50}, {10,40}, {14,47}, {18,30}, {8,29}, {21,52}, {24,49}, {8,27}, {5,46}, {6,47}, {3,33}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {14,51}, {11,30}, {3,50}, {19,33}, {9,28}, {3,34}, {16,53}, {4,27}, {7,55}, {16,46}, {15,29}, {4,46}, {2,31}, {16,38}, {18,27}, {20,28}, {16,27}, {3,45}, {2,53}, {12,44}, {19,25}, {7,47}, {2,37}, {16,50}, {12,53}, {10,41}, {4,25}, {23,55}, {21,34}, {12,33}, {21,35}, {15,55}, {7,51}, {22,33}, {11,31}, {21,44}, {15,48}, {5,51}, {13,34}, {24,52}, {6,26}, {15,42}, {1,34}, {21,43}, {7,42}, {2,50}, {21,27}, {8,44}, {19,36}, {23,30}, {6,28}, {21,51}, {15,51}, {23,46}, {5,49}, {20,34}, {11,37}, {23,33}, {11,28}, {16,35}, {10,34}, {16,33}, {17,53}, {17,45}, {9,45}, {22,46}, {17,37}, {1,28}, {20,56}, {9,27}, {5,42}, {2,38}, {12,32}, {15,36}, {21,36}, {6,55}, {6,53}, {8,28}, {7,43}, {18,40}, {11,55}, {19,51}, {1,27}, {5,44}, {22,54}, {9,53}, {15,26}, {4,52}, {9,43}, {22,47}, {22,32}, {9,42}, {15,43}, {10,32}, {4,39}, {12,35}, {7,36}, {6,35}, {17,32}, {23,26}, {13,52}, {17,43}, {21,26}, {22,28}, {8,25}, {2,42}, {18,42}, {4,48}, {18,34}, {17,49}, {18,48}, {9,48}, {5,48}, {15,25}, {5,33}, {4,56}, {4,54}, {5,30}, {11,38}, {10,49} }; // ETB56.127 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 73728 EdgesBipt[56][127]:={ {6,38}, {10,37}, {16,47}, {15,38}, {11,49}, {6,25}, {23,29}, {5,43}, {8,26}, {13,37}, {14,38}, {13,39}, {17,42}, {15,44}, {15,54}, {14,50}, {2,35}, {17,33}, {21,30}, {14,31}, {16,55}, {21,41}, {11,53}, {2,49}, {14,56}, {21,54}, {17,56}, {14,45}, {16,37}, {20,37}, {5,32}, {4,51}, {4,40}, {13,43}, {6,56}, {24,48}, {24,28}, {2,33}, {17,35}, {4,38}, {3,49}, {21,53}, {11,35}, {11,29}, {10,56}, {6,29}, {19,40}, {20,38}, {20,26}, {12,28}, {19,31}, {21,40}, {16,48}, {18,32}, {15,32}, {2,52}, {8,30}, {23,38}, {12,46}, {9,33}, {20,43}, {8,46}, {8,37}, {8,52}, {21,38}, {7,41}, {23,31}, {23,54}, {12,42}, {23,36}, {11,39}, {10,26}, {22,42}, {7,33}, {3,52}, {12,40}, {20,29}, {15,30}, {22,25}, {5,37}, {19,52}, {24,50}, {16,25}, {24,45}, {13,42}, {1,29}, {19,42}, {23,42}, {12,37}, {2,56}, {10,35}, {6,44}, {18,39}, {24,26}, {20,55}, {9,47}, {12,52}, {5,50}, {5,34}, {18,47}, {1,38}, {18,46}, {2,36}, {8,49}, {13,41}, {16,40}, {22,34}, {18,29}, {9,36}, {1,43}, {11,51}, {9,39}, {8,42}, {18,26}, {7,54}, {18,36}, {6,51}, {19,46}, {3,43}, {15,28}, {21,55}, {14,46}, {20,41}, {24,40}, {7,32}, {19,56}, {1,31}, {3,31}, {12,27}, {18,55}, {1,39}, {6,27}, {2,30}, {5,35}, {15,50}, {3,36}, {19,49}, {8,48}, {14,54}, {4,32}, {22,49}, {2,44}, {21,45}, {8,56}, {8,50}, {14,28}, {12,47}, {6,36}, {23,39}, {1,55}, {18,51}, {24,53}, {11,36}, {3,30}, {3,55}, {13,48}, {9,51}, {22,48}, {15,34}, {10,46}, {11,33}, {22,56}, {13,25}, {11,48}, {10,55}, {4,41}, {9,38}, {24,55}, {21,37}, {8,45}, {3,29}, {17,31}, {13,36}, {1,41}, {1,51}, {13,53}, {22,29}, {12,41}, {18,54}, {4,47}, {17,28}, {7,35}, {19,45}, {16,56}, {5,52}, {7,34}, {10,31}, {10,29}, {18,25}, {24,25}, {15,53}, {1,25}, {22,31}, {22,50}, {23,56}, {20,30}, {9,30}, {5,39}, {8,53}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {20,44}, {13,29}, {15,46}, {17,30}, {5,40}, {20,47}, {4,50}, {23,47}, {12,45}, {10,25}, {15,35}, {17,38}, {11,32}, {16,26}, {12,25}, {10,52}, {15,49}, {23,27}, {24,35}, {10,54}, {19,53}, {14,40}, {1,48}, {24,43}, {16,31}, {16,45}, {23,34}, {9,44}, {22,52}, {21,39}, {24,51}, {10,28}, {5,31}, {20,48}, {19,34}, {4,44}, {2,54}, {7,40}, {12,50}, {17,41}, {12,43}, {20,32}, {2,26}, {3,53}, {17,50}, {14,55}, {23,37}, {11,56}, {14,47}, {2,28}, {8,29}, {13,44}, {24,49}, {8,27}, {21,46}, {5,46}, {3,33}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {14,51}, {11,30}, {19,39}, {3,34}, {7,55}, {15,29}, {4,46}, {18,52}, {18,27}, {20,28}, {3,54}, {16,27}, {3,45}, {12,44}, {19,25}, {7,47}, {2,37}, {4,42}, {10,41}, {4,25}, {14,30}, {3,28}, {7,31}, {5,47}, {17,34}, {6,54}, {20,27}, {21,35}, {18,49}, {7,51}, {14,49}, {22,33}, {11,31}, {20,33}, {21,44}, {1,53}, {19,35}, {13,34}, {24,52}, {7,25}, {6,26}, {15,42}, {1,34}, {22,27}, {22,51}, {13,35}, {21,43}, {6,41}, {10,53}, {17,40}, {24,44}, {12,34}, {8,44}, {19,36}, {23,30}, {6,28}, {6,42}, {4,35}, {13,33}, {18,43}, {15,51}, {23,46}, {5,49}, {1,50}, {2,47}, {5,55}, {16,33}, {17,53}, {2,40}, {17,45}, {9,45}, {4,26}, {17,37}, {16,39}, {16,52}, {3,27}, {9,27}, {7,38}, {21,36}, {6,53}, {9,49}, {7,43}, {9,40}, {11,55}, {19,51}, {1,27}, {12,54}, {9,43}, {22,47}, {1,46}, {3,37}, {8,39}, {22,32}, {9,42}, {23,41}, {9,34}, {24,33}, {15,43}, {10,32}, {4,39}, {7,36}, {13,52}, {21,26}, {22,28}, {2,42}, {4,48}, {2,32}, {6,33}, {11,26}, {9,48}, {19,54}, {5,48}, {17,48}, {4,56}, {5,30}, {11,38} }; // ETB56.128 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3072 EdgesBipt[56][128]:={ {15,33}, {6,52}, {18,45}, {7,48}, {6,38}, {11,40}, {16,47}, {14,36}, {9,32}, {23,29}, {11,25}, {4,28}, {5,43}, {5,45}, {8,26}, {13,37}, {17,42}, {13,39}, {15,54}, {14,50}, {2,35}, {8,40}, {10,33}, {21,30}, {14,31}, {15,27}, {24,32}, {21,41}, {24,36}, {11,53}, {2,49}, {14,56}, {21,54}, {10,39}, {14,45}, {16,37}, {3,39}, {19,37}, {5,32}, {4,51}, {7,30}, {15,41}, {8,31}, {20,52}, {6,56}, {13,27}, {14,29}, {13,40}, {14,44}, {2,33}, {24,56}, {4,38}, {11,29}, {10,56}, {10,47}, {19,40}, {20,38}, {2,34}, {20,26}, {22,55}, {22,37}, {12,48}, {4,43}, {21,40}, {16,42}, {1,52}, {18,32}, {23,45}, {4,30}, {20,43}, {7,45}, {8,52}, {21,38}, {12,38}, {7,41}, {13,30}, {23,54}, {12,42}, {11,39}, {6,49}, {7,33}, {12,31}, {23,28}, {17,26}, {13,47}, {15,30}, {20,39}, {22,25}, {5,37}, {13,55}, {18,35}, {24,31}, {19,42}, {23,42}, {12,37}, {13,51}, {16,34}, {6,46}, {10,35}, {6,44}, {18,39}, {20,55}, {13,26}, {17,47}, {5,50}, {12,52}, {4,49}, {2,29}, {18,46}, {1,26}, {14,32}, {2,36}, {10,51}, {22,34}, {24,37}, {6,34}, {12,49}, {8,42}, {18,33}, {18,36}, {5,27}, {19,46}, {15,28}, {5,28}, {18,56}, {24,41}, {20,41}, {9,46}, {24,40}, {3,47}, {1,42}, {7,32}, {19,56}, {3,31}, {12,27}, {1,39}, {7,37}, {5,35}, {14,34}, {15,50}, {3,36}, {19,49}, {17,29}, {14,54}, {4,32}, {22,49}, {1,30}, {8,56}, {19,27}, {8,50}, {12,56}, {12,47}, {6,36}, {1,55}, {24,53}, {4,53}, {16,29}, {3,55}, {21,47}, {10,36}, {11,33}, {17,51}, {19,30}, {10,55}, {9,38}, {9,26}, {18,38}, {7,46}, {3,29}, {17,31}, {1,41}, {4,45}, {12,55}, {1,51}, {13,53}, {18,54}, {20,54}, {11,44}, {20,31}, {24,39}, {23,48}, {17,55}, {11,34}, {17,28}, {21,42}, {11,46}, {16,56}, {2,43}, {2,27}, {6,30}, {22,44}, {9,31}, {10,44}, {10,29}, {18,25}, {15,52}, {24,25}, {1,25}, {22,31}, {22,50}, {23,35}, {5,39}, {24,38}, {8,53}, {22,45}, {7,28}, {20,44}, {17,44}, {8,34}, {9,25}, {10,30}, {20,47}, {23,47}, {12,45}, {11,32}, {22,53}, {9,52}, {21,32}, {16,26}, {11,54}, {15,40}, {14,43}, {19,50}, {1,44}, {13,38}, {15,49}, {23,27}, {10,54}, {19,53}, {7,49}, {1,48}, {24,43}, {9,41}, {16,31}, {16,45}, {3,41}, {23,34}, {22,52}, {21,39}, {19,29}, {24,51}, {5,31}, {20,48}, {16,44}, {4,44}, {2,54}, {17,41}, {12,43}, {17,50}, {7,29}, {18,30}, {2,28}, {8,27}, {6,47}, {3,48}, {3,33}, {1,45}, {10,50}, {11,30}, {3,50}, {9,28}, {3,34}, {16,53}, {16,46}, {18,52}, {8,43}, {3,56}, {2,31}, {16,38}, {18,27}, {20,28}, {12,36}, {2,53}, {5,26}, {19,25}, {7,47}, {4,42}, {5,29}, {4,25}, {23,55}, {6,54}, {15,55}, {7,51}, {14,49}, {22,33}, {20,33}, {15,48}, {19,35}, {5,51}, {24,52}, {11,41}, {13,35}, {21,43}, {21,27}, {6,41}, {23,49}, {10,53}, {21,29}, {17,40}, {24,44}, {19,36}, {23,30}, {6,42}, {4,35}, {21,48}, {21,51}, {19,32}, {13,33}, {15,51}, {23,46}, {14,25}, {1,56}, {20,34}, {20,45}, {1,50}, {11,28}, {2,47}, {16,35}, {8,55}, {14,42}, {17,53}, {3,40}, {8,35}, {10,45}, {2,40}, {8,54}, {21,56}, {14,41}, {4,26}, {22,46}, {17,37}, {16,39}, {13,28}, {3,27}, {9,27}, {7,38}, {2,38}, {23,50}, {15,36}, {22,35}, {10,43}, {6,55}, {6,53}, {7,44}, {9,49}, {9,40}, {19,51}, {5,25}, {4,52}, {22,36}, {1,46}, {3,37}, {8,39}, {9,42}, {9,34}, {24,33}, {15,43}, {13,46}, {12,35}, {7,36}, {11,50}, {23,26}, {13,52}, {17,43}, {14,48}, {21,26}, {22,28}, {1,37}, {8,25}, {16,32}, {2,32}, {18,34}, {12,51}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {15,25}, {5,33}, {4,54}, {9,37}, {6,40} }; // ETB56.129 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[56][129]:={ {24,34}, {15,33}, {18,45}, {6,38}, {15,38}, {14,36}, {11,49}, {9,32}, {16,51}, {19,26}, {2,55}, {3,26}, {1,49}, {1,40}, {17,42}, {13,39}, {15,54}, {14,50}, {4,31}, {8,40}, {20,46}, {15,27}, {16,55}, {24,32}, {24,54}, {21,41}, {21,54}, {14,45}, {6,48}, {16,37}, {19,37}, {16,28}, {21,28}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {8,31}, {2,46}, {6,56}, {13,43}, {14,29}, {10,48}, {13,40}, {2,33}, {3,49}, {11,35}, {11,29}, {10,56}, {6,29}, {11,27}, {10,47}, {19,40}, {2,34}, {22,55}, {19,31}, {22,37}, {12,48}, {4,43}, {21,40}, {16,42}, {2,52}, {23,45}, {4,30}, {16,49}, {12,46}, {9,33}, {7,45}, {8,46}, {8,52}, {21,38}, {7,41}, {20,49}, {12,26}, {13,30}, {7,27}, {6,39}, {23,36}, {11,39}, {10,26}, {7,33}, {12,40}, {20,29}, {23,28}, {17,26}, {15,30}, {19,52}, {24,50}, {18,35}, {24,31}, {13,42}, {20,35}, {23,43}, {19,42}, {12,37}, {13,51}, {2,56}, {10,35}, {18,39}, {8,38}, {13,26}, {5,50}, {2,29}, {18,47}, {1,26}, {14,32}, {2,36}, {8,49}, {13,41}, {20,36}, {10,51}, {22,34}, {24,37}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {7,54}, {18,33}, {18,36}, {22,43}, {3,38}, {5,27}, {5,28}, {18,56}, {14,46}, {20,41}, {9,46}, {14,35}, {7,32}, {19,56}, {19,38}, {1,39}, {13,49}, {7,37}, {7,53}, {5,53}, {11,42}, {3,36}, {17,29}, {8,48}, {14,54}, {4,32}, {22,49}, {2,44}, {1,30}, {21,45}, {8,56}, {19,27}, {8,50}, {12,56}, {12,47}, {6,36}, {23,40}, {24,53}, {3,55}, {22,26}, {20,51}, {10,38}, {15,34}, {21,25}, {17,51}, {10,55}, {3,29}, {11,52}, {1,41}, {4,45}, {1,51}, {22,29}, {9,54}, {18,54}, {20,54}, {4,47}, {24,39}, {3,25}, {23,48}, {17,55}, {17,28}, {21,42}, {19,45}, {16,56}, {5,52}, {22,30}, {7,34}, {10,31}, {10,44}, {15,52}, {24,25}, {17,46}, {15,53}, {13,56}, {1,25}, {22,31}, {22,50}, {23,56}, {20,30}, {13,31}, {24,38}, {19,55}, {18,44}, {14,27}, {7,28}, {6,45}, {20,44}, {14,52}, {10,30}, {5,40}, {20,47}, {23,47}, {4,34}, {10,25}, {17,38}, {17,52}, {22,53}, {9,52}, {21,32}, {16,26}, {11,54}, {12,25}, {15,40}, {14,37}, {13,38}, {23,27}, {24,35}, {19,53}, {18,31}, {1,48}, {16,45}, {3,41}, {1,32}, {1,54}, {22,52}, {24,29}, {6,43}, {6,37}, {22,39}, {24,51}, {5,31}, {17,25}, {20,48}, {16,44}, {4,44}, {17,41}, {12,43}, {3,53}, {17,50}, {14,55}, {18,30}, {14,47}, {2,28}, {8,29}, {8,36}, {13,44}, {2,45}, {21,46}, {23,52}, {5,46}, {6,47}, {3,33}, {16,36}, {10,50}, {20,50}, {11,30}, {3,50}, {19,39}, {9,28}, {4,27}, {19,43}, {7,55}, {16,46}, {15,29}, {4,46}, {8,43}, {3,56}, {2,31}, {11,45}, {18,27}, {20,28}, {21,33}, {3,54}, {12,36}, {2,53}, {12,44}, {19,25}, {7,47}, {4,42}, {16,50}, {12,53}, {10,41}, {23,55}, {3,28}, {12,33}, {17,34}, {6,54}, {21,35}, {18,49}, {15,47}, {7,51}, {11,31}, {20,33}, {21,44}, {15,48}, {5,51}, {13,34}, {11,41}, {6,26}, {22,51}, {7,42}, {21,27}, {6,41}, {23,49}, {10,53}, {24,44}, {12,34}, {8,44}, {23,30}, {6,42}, {4,35}, {21,48}, {19,32}, {13,33}, {23,46}, {18,53}, {14,25}, {5,49}, {20,34}, {7,26}, {1,50}, {11,28}, {2,47}, {16,35}, {5,55}, {3,40}, {8,35}, {10,45}, {21,56}, {16,39}, {13,28}, {9,27}, {2,38}, {12,32}, {15,31}, {9,49}, {18,40}, {9,40}, {11,55}, {24,42}, {1,27}, {5,44}, {5,25}, {4,52}, {22,36}, {9,43}, {22,47}, {14,53}, {3,37}, {8,39}, {9,42}, {23,41}, {9,34}, {24,33}, {15,43}, {4,39}, {6,35}, {17,32}, {11,50}, {23,26}, {17,43}, {14,48}, {1,37}, {8,25}, {2,42}, {16,32}, {4,48}, {12,51}, {17,48}, {15,25}, {5,33}, {18,37}, {5,30}, {11,38}, {9,37} }; // ETB56.130 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2304 EdgesBipt[56][130]:={ {6,52}, {7,48}, {11,40}, {16,47}, {9,32}, {6,25}, {5,38}, {23,29}, {5,56}, {16,51}, {19,26}, {8,51}, {3,26}, {8,26}, {22,40}, {1,49}, {1,40}, {13,39}, {15,44}, {11,43}, {15,54}, {8,40}, {3,35}, {20,46}, {10,33}, {16,55}, {24,32}, {24,36}, {11,53}, {14,56}, {17,56}, {6,48}, {19,37}, {15,56}, {21,28}, {1,35}, {4,51}, {8,31}, {4,40}, {20,52}, {2,46}, {13,43}, {24,48}, {23,44}, {13,40}, {6,32}, {2,33}, {17,35}, {3,49}, {11,35}, {11,29}, {10,56}, {11,27}, {10,47}, {20,38}, {2,34}, {22,55}, {22,37}, {4,43}, {16,42}, {2,52}, {23,45}, {8,30}, {16,49}, {12,46}, {7,45}, {8,37}, {24,46}, {5,41}, {21,38}, {7,41}, {20,49}, {12,26}, {13,30}, {23,54}, {7,33}, {12,31}, {23,28}, {13,47}, {24,30}, {20,39}, {5,37}, {21,50}, {16,25}, {24,31}, {23,43}, {1,36}, {19,42}, {12,37}, {13,51}, {6,46}, {16,43}, {10,35}, {6,44}, {18,39}, {24,26}, {8,38}, {20,55}, {13,26}, {5,50}, {12,52}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {14,32}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {18,26}, {5,54}, {18,33}, {18,36}, {22,43}, {3,38}, {15,28}, {24,41}, {14,46}, {20,41}, {24,40}, {19,56}, {3,31}, {19,47}, {1,39}, {6,27}, {7,53}, {5,53}, {11,42}, {2,30}, {5,35}, {14,34}, {15,50}, {3,36}, {17,29}, {4,32}, {22,49}, {2,44}, {8,56}, {14,28}, {12,56}, {12,47}, {6,36}, {23,39}, {1,55}, {18,51}, {24,53}, {4,53}, {3,30}, {3,55}, {9,51}, {1,47}, {22,48}, {21,47}, {22,26}, {10,36}, {14,33}, {15,37}, {20,51}, {10,38}, {15,34}, {10,46}, {11,33}, {22,56}, {9,55}, {21,25}, {11,48}, {19,30}, {9,26}, {17,54}, {7,46}, {3,29}, {17,31}, {13,36}, {1,51}, {12,41}, {20,54}, {11,44}, {13,45}, {4,47}, {20,31}, {11,34}, {17,55}, {21,42}, {7,35}, {19,45}, {2,43}, {22,30}, {12,30}, {6,30}, {7,50}, {4,33}, {22,44}, {10,31}, {10,44}, {15,52}, {15,53}, {1,25}, {22,31}, {13,50}, {23,56}, {13,31}, {9,30}, {5,39}, {24,38}, {14,27}, {18,44}, {22,45}, {16,41}, {6,45}, {20,44}, {13,29}, {14,52}, {8,34}, {15,46}, {17,30}, {4,50}, {23,47}, {16,30}, {10,25}, {15,35}, {17,38}, {17,52}, {22,53}, {9,52}, {21,32}, {12,25}, {15,40}, {14,37}, {13,38}, {23,27}, {24,35}, {10,54}, {19,53}, {7,49}, {1,48}, {16,31}, {16,45}, {7,39}, {3,41}, {23,34}, {22,41}, {21,39}, {7,52}, {19,29}, {6,43}, {8,32}, {24,51}, {10,28}, {5,31}, {17,25}, {20,48}, {19,34}, {4,44}, {2,54}, {2,41}, {12,50}, {17,50}, {18,41}, {14,55}, {23,37}, {7,29}, {2,28}, {21,52}, {13,44}, {8,27}, {2,45}, {21,46}, {6,47}, {20,50}, {19,33}, {3,34}, {19,43}, {7,55}, {18,28}, {15,29}, {2,31}, {16,38}, {11,45}, {20,28}, {12,36}, {16,27}, {3,45}, {19,25}, {7,47}, {4,42}, {5,29}, {10,41}, {4,25}, {23,55}, {3,28}, {21,34}, {12,39}, {20,27}, {21,35}, {18,49}, {14,49}, {22,33}, {15,48}, {1,53}, {19,35}, {5,51}, {24,52}, {9,50}, {6,26}, {13,35}, {2,50}, {21,27}, {23,49}, {10,53}, {21,29}, {8,44}, {19,36}, {6,28}, {21,51}, {19,32}, {18,43}, {14,25}, {5,49}, {1,56}, {13,54}, {11,28}, {14,42}, {10,27}, {16,33}, {17,53}, {17,27}, {8,54}, {17,45}, {9,45}, {14,41}, {16,39}, {23,25}, {3,27}, {5,42}, {23,50}, {12,32}, {15,36}, {10,43}, {21,36}, {6,55}, {8,28}, {9,49}, {7,43}, {18,40}, {9,40}, {11,55}, {24,42}, {20,40}, {1,27}, {22,54}, {12,54}, {15,26}, {4,52}, {14,53}, {3,37}, {9,42}, {9,34}, {24,33}, {4,39}, {7,36}, {17,32}, {14,48}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {4,48}, {2,32}, {18,34}, {3,46}, {9,48}, {17,48}, {5,33}, {18,37}, {4,56}, {4,54}, {11,38}, {9,37}, {6,40} }; // ETB56.131 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2304 EdgesBipt[56][131]:={ {15,33}, {6,52}, {18,45}, {7,48}, {10,37}, {15,38}, {11,49}, {5,38}, {23,29}, {5,56}, {16,51}, {4,28}, {23,53}, {8,51}, {5,45}, {22,40}, {1,49}, {11,43}, {17,33}, {20,46}, {10,33}, {21,30}, {24,54}, {24,36}, {21,54}, {17,56}, {10,39}, {14,45}, {6,48}, {3,39}, {19,37}, {15,56}, {21,28}, {1,35}, {7,30}, {15,41}, {8,31}, {4,37}, {20,52}, {2,46}, {13,43}, {24,48}, {13,27}, {14,29}, {24,28}, {13,40}, {14,44}, {2,33}, {6,32}, {24,56}, {4,38}, {21,53}, {6,29}, {11,27}, {19,40}, {2,34}, {20,26}, {12,28}, {19,31}, {4,43}, {2,52}, {23,45}, {16,49}, {7,45}, {24,46}, {5,41}, {17,39}, {23,31}, {12,26}, {6,39}, {6,49}, {10,26}, {12,40}, {19,48}, {20,29}, {13,47}, {24,30}, {2,48}, {18,35}, {9,56}, {13,42}, {23,42}, {16,34}, {13,51}, {16,43}, {10,35}, {7,56}, {6,44}, {8,38}, {20,55}, {9,47}, {12,52}, {4,49}, {5,50}, {2,29}, {5,34}, {18,47}, {18,46}, {1,26}, {2,36}, {8,49}, {20,42}, {22,34}, {1,43}, {9,29}, {18,26}, {18,36}, {5,27}, {15,28}, {21,55}, {24,41}, {20,41}, {1,42}, {7,32}, {19,38}, {1,31}, {3,31}, {19,47}, {3,51}, {1,39}, {7,37}, {2,30}, {5,53}, {11,42}, {5,35}, {14,34}, {3,36}, {19,49}, {17,29}, {14,54}, {22,49}, {2,44}, {21,45}, {12,56}, {12,47}, {6,36}, {23,40}, {1,55}, {4,53}, {11,36}, {3,30}, {9,51}, {22,48}, {21,47}, {22,26}, {10,36}, {14,33}, {15,37}, {10,46}, {22,56}, {9,55}, {21,25}, {17,51}, {14,39}, {11,48}, {8,47}, {8,41}, {9,38}, {21,37}, {7,46}, {3,29}, {17,31}, {13,36}, {1,41}, {1,51}, {22,29}, {9,54}, {18,54}, {20,54}, {11,44}, {4,47}, {24,39}, {17,55}, {17,28}, {21,42}, {19,45}, {11,46}, {2,27}, {7,50}, {22,44}, {7,34}, {10,31}, {10,44}, {18,25}, {24,25}, {23,51}, {13,56}, {1,25}, {22,31}, {22,50}, {13,50}, {20,30}, {13,31}, {9,30}, {24,38}, {8,53}, {3,32}, {20,44}, {17,44}, {9,25}, {15,46}, {17,30}, {5,40}, {4,50}, {23,47}, {16,30}, {4,34}, {17,38}, {12,29}, {6,31}, {9,52}, {21,32}, {12,25}, {15,40}, {3,42}, {14,37}, {13,38}, {23,27}, {24,35}, {24,43}, {16,45}, {7,39}, {3,41}, {23,34}, {22,41}, {1,54}, {22,52}, {7,52}, {6,43}, {6,37}, {22,39}, {10,28}, {19,34}, {16,44}, {4,44}, {7,40}, {20,32}, {17,50}, {18,41}, {10,40}, {14,55}, {23,37}, {8,29}, {22,38}, {8,36}, {8,27}, {21,46}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {11,30}, {19,33}, {19,39}, {16,53}, {19,43}, {15,29}, {4,46}, {18,52}, {3,56}, {11,45}, {18,27}, {20,28}, {21,33}, {3,54}, {20,53}, {16,27}, {3,45}, {2,53}, {19,25}, {2,37}, {16,50}, {12,53}, {10,41}, {4,25}, {23,55}, {14,30}, {12,33}, {8,33}, {12,39}, {17,34}, {6,54}, {20,27}, {15,55}, {18,49}, {15,47}, {14,49}, {11,31}, {15,48}, {19,35}, {5,51}, {24,52}, {11,41}, {7,25}, {6,26}, {15,42}, {22,27}, {13,35}, {21,43}, {7,42}, {23,49}, {10,53}, {24,44}, {12,34}, {8,44}, {19,36}, {6,28}, {6,42}, {4,35}, {21,51}, {18,53}, {14,25}, {1,56}, {7,26}, {1,50}, {11,37}, {2,47}, {16,35}, {8,55}, {5,55}, {3,40}, {8,35}, {10,45}, {2,40}, {8,54}, {14,41}, {4,26}, {16,54}, {17,37}, {16,39}, {13,28}, {1,28}, {20,56}, {16,52}, {3,27}, {9,27}, {2,38}, {23,50}, {12,32}, {22,35}, {21,36}, {15,31}, {8,28}, {9,49}, {7,43}, {18,40}, {11,55}, {19,51}, {5,25}, {12,54}, {15,26}, {4,52}, {9,43}, {14,53}, {9,42}, {9,34}, {24,33}, {10,32}, {13,46}, {12,35}, {17,32}, {11,50}, {23,26}, {13,52}, {17,43}, {14,48}, {18,42}, {16,32}, {2,32}, {12,51}, {18,48}, {9,48}, {15,25}, {5,33}, {5,30}, {11,38} }; // ETB56.132 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 36864 EdgesBipt[56][132]:={ {15,33}, {6,52}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {11,49}, {9,32}, {23,29}, {5,56}, {16,51}, {4,28}, {2,55}, {23,53}, {5,45}, {14,38}, {13,39}, {17,42}, {15,44}, {15,54}, {14,50}, {2,35}, {8,40}, {20,46}, {14,31}, {16,55}, {24,54}, {21,41}, {24,36}, {14,56}, {2,49}, {21,54}, {14,45}, {6,48}, {3,39}, {15,56}, {20,37}, {7,30}, {4,37}, {24,48}, {13,27}, {23,44}, {13,40}, {6,32}, {2,33}, {3,49}, {21,53}, {11,29}, {10,56}, {6,29}, {10,47}, {19,40}, {20,38}, {20,26}, {21,40}, {16,48}, {2,52}, {4,30}, {16,49}, {9,33}, {7,45}, {8,37}, {5,41}, {8,52}, {12,38}, {20,49}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {22,42}, {12,31}, {19,48}, {20,29}, {23,28}, {24,30}, {15,30}, {20,39}, {22,25}, {5,37}, {19,52}, {24,50}, {24,47}, {21,50}, {18,35}, {16,25}, {24,31}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,36}, {19,42}, {12,37}, {13,51}, {16,34}, {6,46}, {18,39}, {24,26}, {8,38}, {5,50}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {14,32}, {13,41}, {8,49}, {16,40}, {10,51}, {24,37}, {18,29}, {9,39}, {8,42}, {18,26}, {7,54}, {18,33}, {6,51}, {22,43}, {3,38}, {3,43}, {15,28}, {18,56}, {21,55}, {24,41}, {9,46}, {24,40}, {1,42}, {19,56}, {3,31}, {12,27}, {3,51}, {1,39}, {13,49}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {14,34}, {15,50}, {3,36}, {14,54}, {20,25}, {22,49}, {8,56}, {8,50}, {14,28}, {12,56}, {23,39}, {18,51}, {4,53}, {11,36}, {13,48}, {22,26}, {10,36}, {14,33}, {2,51}, {15,37}, {11,33}, {22,56}, {13,25}, {21,31}, {11,48}, {19,30}, {10,55}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {17,54}, {18,38}, {21,37}, {7,46}, {17,31}, {11,52}, {13,36}, {1,41}, {9,54}, {12,41}, {20,54}, {11,44}, {4,47}, {3,44}, {20,31}, {11,34}, {17,55}, {7,35}, {11,46}, {2,43}, {22,30}, {2,27}, {12,30}, {7,34}, {10,31}, {10,44}, {10,29}, {15,52}, {17,46}, {1,25}, {23,56}, {23,35}, {9,30}, {24,38}, {19,55}, {3,32}, {18,44}, {22,45}, {16,41}, {7,28}, {20,44}, {19,41}, {13,29}, {17,30}, {5,40}, {20,47}, {10,25}, {15,35}, {6,31}, {17,52}, {21,32}, {16,26}, {11,54}, {12,25}, {10,52}, {3,42}, {14,43}, {14,37}, {1,44}, {23,27}, {19,53}, {1,48}, {16,45}, {23,34}, {15,39}, {4,29}, {1,32}, {1,54}, {22,52}, {21,39}, {6,43}, {8,32}, {24,51}, {17,25}, {19,34}, {12,43}, {2,26}, {17,50}, {18,41}, {14,55}, {14,47}, {8,29}, {22,38}, {13,44}, {4,55}, {6,47}, {3,33}, {14,26}, {1,45}, {20,50}, {23,32}, {3,50}, {19,33}, {9,28}, {3,34}, {16,53}, {19,43}, {16,46}, {18,28}, {15,29}, {11,47}, {4,46}, {2,31}, {16,38}, {11,45}, {16,27}, {3,45}, {2,53}, {5,26}, {12,53}, {10,41}, {4,25}, {23,55}, {21,34}, {7,31}, {8,33}, {12,39}, {17,34}, {6,54}, {20,27}, {21,35}, {7,51}, {22,33}, {21,44}, {24,52}, {9,50}, {15,42}, {1,34}, {22,27}, {13,35}, {2,50}, {23,49}, {21,29}, {19,36}, {6,28}, {6,42}, {4,35}, {21,48}, {21,51}, {19,32}, {18,43}, {23,46}, {5,49}, {1,56}, {7,26}, {20,45}, {23,33}, {11,28}, {2,47}, {8,55}, {10,27}, {10,34}, {17,53}, {3,40}, {17,27}, {10,45}, {2,40}, {4,26}, {22,46}, {17,37}, {1,28}, {23,25}, {3,27}, {12,32}, {15,36}, {10,43}, {15,31}, {6,55}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {11,55}, {19,51}, {24,42}, {5,44}, {5,25}, {9,53}, {4,52}, {22,36}, {22,47}, {14,53}, {1,46}, {8,39}, {9,42}, {5,36}, {15,43}, {13,46}, {12,35}, {7,36}, {17,32}, {11,50}, {13,52}, {22,28}, {1,37}, {8,25}, {16,32}, {4,48}, {12,51}, {17,49}, {18,48}, {9,48}, {5,33}, {4,56}, {4,54}, {5,30} }; // ETB56.133 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1536 EdgesBipt[56][133]:={ {6,52}, {18,45}, {6,38}, {19,28}, {14,36}, {9,32}, {6,25}, {19,26}, {5,43}, {23,53}, {5,45}, {22,40}, {13,37}, {14,38}, {17,42}, {15,54}, {14,50}, {4,31}, {3,35}, {21,30}, {14,31}, {15,27}, {16,55}, {11,53}, {2,49}, {14,56}, {21,54}, {17,56}, {10,39}, {6,48}, {3,39}, {19,37}, {16,28}, {1,35}, {15,41}, {4,37}, {4,40}, {20,52}, {2,46}, {6,56}, {10,48}, {23,44}, {13,40}, {14,44}, {6,32}, {17,35}, {3,49}, {21,53}, {11,29}, {10,42}, {11,27}, {10,47}, {19,40}, {20,38}, {22,55}, {12,28}, {12,48}, {16,42}, {2,52}, {23,45}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {8,37}, {5,41}, {8,52}, {21,38}, {7,41}, {23,31}, {23,54}, {7,27}, {6,39}, {23,36}, {11,39}, {12,40}, {19,48}, {20,29}, {23,28}, {13,47}, {22,25}, {24,47}, {16,25}, {9,56}, {13,42}, {19,42}, {13,51}, {2,56}, {6,46}, {7,56}, {10,35}, {6,44}, {18,39}, {8,38}, {13,26}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {2,36}, {8,49}, {13,41}, {16,40}, {10,51}, {22,34}, {24,37}, {9,36}, {1,43}, {9,29}, {12,49}, {18,26}, {5,54}, {18,33}, {6,51}, {22,43}, {3,38}, {19,46}, {3,43}, {14,46}, {20,41}, {9,46}, {24,40}, {14,35}, {1,42}, {3,51}, {18,55}, {1,39}, {6,27}, {7,53}, {5,53}, {11,42}, {2,30}, {5,35}, {14,34}, {15,50}, {19,49}, {17,29}, {8,48}, {20,25}, {2,44}, {12,47}, {1,55}, {18,51}, {11,36}, {3,30}, {13,48}, {22,48}, {21,47}, {2,51}, {15,37}, {15,34}, {9,55}, {14,39}, {21,31}, {19,30}, {9,38}, {24,55}, {9,26}, {17,54}, {18,38}, {21,37}, {8,45}, {3,29}, {11,52}, {17,31}, {1,41}, {13,53}, {22,29}, {20,54}, {4,47}, {13,45}, {20,31}, {24,39}, {23,48}, {11,34}, {17,28}, {21,42}, {7,35}, {16,56}, {2,27}, {12,30}, {4,33}, {7,50}, {22,44}, {10,31}, {10,44}, {24,25}, {1,25}, {22,50}, {23,56}, {24,38}, {19,55}, {3,32}, {14,27}, {18,44}, {22,45}, {7,28}, {20,44}, {13,29}, {8,34}, {15,46}, {10,30}, {5,40}, {20,47}, {4,50}, {16,30}, {4,34}, {10,25}, {17,52}, {21,32}, {12,25}, {10,52}, {14,43}, {15,49}, {24,35}, {10,54}, {19,53}, {1,48}, {24,43}, {9,41}, {16,45}, {3,41}, {23,34}, {4,36}, {15,39}, {22,41}, {1,32}, {1,54}, {22,52}, {24,29}, {6,37}, {8,32}, {22,39}, {24,27}, {24,51}, {5,31}, {17,25}, {19,34}, {16,44}, {4,44}, {21,49}, {7,40}, {12,50}, {12,43}, {20,32}, {3,53}, {18,41}, {14,55}, {11,56}, {18,30}, {2,28}, {8,29}, {24,49}, {2,45}, {21,46}, {4,55}, {3,48}, {16,36}, {13,32}, {20,50}, {23,32}, {19,39}, {9,28}, {16,53}, {15,29}, {4,46}, {3,56}, {2,31}, {16,38}, {11,45}, {1,33}, {18,27}, {21,33}, {3,45}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {17,34}, {20,27}, {21,35}, {15,47}, {14,49}, {7,51}, {11,31}, {20,33}, {15,48}, {1,53}, {19,35}, {24,52}, {11,41}, {7,25}, {9,50}, {6,26}, {1,34}, {22,51}, {7,42}, {21,27}, {10,53}, {8,44}, {19,36}, {23,30}, {6,28}, {6,42}, {13,33}, {15,51}, {23,46}, {18,53}, {14,25}, {5,49}, {13,54}, {7,26}, {20,45}, {1,50}, {11,37}, {2,47}, {16,35}, {8,55}, {5,55}, {10,27}, {10,34}, {16,33}, {10,45}, {2,40}, {8,54}, {21,56}, {18,50}, {4,26}, {17,37}, {13,28}, {20,56}, {16,52}, {3,27}, {23,50}, {12,32}, {15,31}, {9,49}, {7,43}, {18,40}, {9,40}, {11,55}, {19,51}, {24,42}, {12,54}, {15,26}, {4,52}, {22,36}, {9,43}, {8,39}, {23,41}, {5,36}, {24,33}, {15,43}, {12,35}, {7,36}, {17,32}, {23,26}, {13,52}, {17,43}, {6,50}, {21,26}, {22,28}, {16,32}, {12,51}, {17,49}, {11,26}, {17,48}, {5,33}, {5,30}, {4,54}, {11,38}, {9,37} }; // ETB56.134 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5682010951769375165644800000000 EdgesBipt[56][134]:={ {24,34}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {9,32}, {6,25}, {5,56}, {16,51}, {8,51}, {5,45}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {3,35}, {20,46}, {10,33}, {15,27}, {16,55}, {24,54}, {21,41}, {2,49}, {17,56}, {14,45}, {3,39}, {15,56}, {21,28}, {5,32}, {4,51}, {8,31}, {2,46}, {14,29}, {23,44}, {13,40}, {2,33}, {4,38}, {21,53}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {22,37}, {2,25}, {4,43}, {21,40}, {16,42}, {1,52}, {15,32}, {4,30}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {24,46}, {5,41}, {12,38}, {23,31}, {12,26}, {7,27}, {12,42}, {23,36}, {11,39}, {6,49}, {10,26}, {22,42}, {12,31}, {3,52}, {19,48}, {23,28}, {24,30}, {20,39}, {22,25}, {5,37}, {19,52}, {24,50}, {24,47}, {9,56}, {24,31}, {20,35}, {23,43}, {1,36}, {1,29}, {16,34}, {6,46}, {16,43}, {7,56}, {24,26}, {8,38}, {20,55}, {17,36}, {2,29}, {18,46}, {13,41}, {20,42}, {22,34}, {18,29}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {18,26}, {18,33}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {7,32}, {19,56}, {3,31}, {12,27}, {19,47}, {3,51}, {13,49}, {2,30}, {5,53}, {14,34}, {3,36}, {17,29}, {14,54}, {22,49}, {21,45}, {19,27}, {8,50}, {12,47}, {23,39}, {23,40}, {11,36}, {13,48}, {3,55}, {22,26}, {14,33}, {20,51}, {10,38}, {10,46}, {13,25}, {21,25}, {11,48}, {8,47}, {24,55}, {18,38}, {21,37}, {11,52}, {13,36}, {1,41}, {12,55}, {13,53}, {22,29}, {18,54}, {20,54}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {24,39}, {23,48}, {17,28}, {7,35}, {5,52}, {22,30}, {12,30}, {6,30}, {10,29}, {18,25}, {15,52}, {23,51}, {13,56}, {1,25}, {22,50}, {23,56}, {23,35}, {20,30}, {24,38}, {19,55}, {3,32}, {22,45}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {20,47}, {4,50}, {23,47}, {16,30}, {4,34}, {10,25}, {15,35}, {11,32}, {17,52}, {22,53}, {9,52}, {21,32}, {16,26}, {15,40}, {14,37}, {1,44}, {23,27}, {24,35}, {10,54}, {19,44}, {1,48}, {24,43}, {9,41}, {16,31}, {7,39}, {15,39}, {22,41}, {1,32}, {9,44}, {7,52}, {6,37}, {24,27}, {24,51}, {17,25}, {2,54}, {21,49}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {2,26}, {18,41}, {11,56}, {18,30}, {21,52}, {22,38}, {13,44}, {8,27}, {2,45}, {23,52}, {4,55}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {19,39}, {9,28}, {4,27}, {19,43}, {7,55}, {16,46}, {11,47}, {4,46}, {8,43}, {3,56}, {16,38}, {1,33}, {21,33}, {16,27}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {23,55}, {14,30}, {3,28}, {7,31}, {12,39}, {6,54}, {20,27}, {15,55}, {18,49}, {15,47}, {14,49}, {7,51}, {22,33}, {11,31}, {21,44}, {15,48}, {1,53}, {19,35}, {6,26}, {2,50}, {6,41}, {10,53}, {21,29}, {17,40}, {12,34}, {19,36}, {6,42}, {4,35}, {21,48}, {19,32}, {13,33}, {15,51}, {18,53}, {14,25}, {5,49}, {1,56}, {20,34}, {11,28}, {16,35}, {8,55}, {14,42}, {10,34}, {17,53}, {3,40}, {8,35}, {10,45}, {8,54}, {21,56}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {16,54}, {22,46}, {16,39}, {17,37}, {13,28}, {1,28}, {3,27}, {2,38}, {15,36}, {21,36}, {15,31}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {19,51}, {24,42}, {5,44}, {22,54}, {5,25}, {12,54}, {9,53}, {14,53}, {8,39}, {5,36}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {13,52}, {6,50}, {1,37}, {2,42}, {18,42}, {6,33}, {18,34}, {12,51}, {17,49}, {9,48}, {5,48}, {17,48}, {5,33}, {18,37}, {4,54}, {10,49}, {9,37} }; // ETB56.135 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12121623363774667020042240000 EdgesBipt[56][135]:={ {15,33}, {6,52}, {18,45}, {11,40}, {6,25}, {5,56}, {19,26}, {4,28}, {5,43}, {2,55}, {8,51}, {8,26}, {22,40}, {1,49}, {13,37}, {14,38}, {11,43}, {14,50}, {2,35}, {3,35}, {20,46}, {14,31}, {15,27}, {24,32}, {21,41}, {24,36}, {17,56}, {6,48}, {3,39}, {19,37}, {16,28}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {2,46}, {6,56}, {24,48}, {10,48}, {23,44}, {24,28}, {6,32}, {17,35}, {24,56}, {4,38}, {3,49}, {21,53}, {11,35}, {10,56}, {10,42}, {6,29}, {11,27}, {20,38}, {2,34}, {20,26}, {12,28}, {12,48}, {16,42}, {16,48}, {18,32}, {4,30}, {8,30}, {9,33}, {20,43}, {7,45}, {8,46}, {17,39}, {7,41}, {23,31}, {13,30}, {23,36}, {11,39}, {6,49}, {10,26}, {22,42}, {7,33}, {12,40}, {23,28}, {20,39}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,29}, {19,42}, {12,37}, {16,34}, {15,45}, {6,44}, {8,38}, {20,55}, {13,26}, {17,47}, {9,47}, {12,52}, {17,36}, {1,38}, {1,26}, {13,41}, {16,40}, {20,42}, {22,34}, {24,37}, {18,29}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {7,54}, {18,33}, {18,36}, {5,27}, {19,46}, {3,43}, {5,28}, {18,56}, {21,55}, {24,41}, {14,46}, {2,39}, {24,40}, {14,35}, {3,47}, {1,42}, {19,38}, {3,31}, {3,51}, {13,49}, {7,37}, {7,53}, {2,30}, {5,35}, {14,34}, {19,49}, {14,54}, {4,32}, {1,30}, {21,45}, {8,50}, {12,56}, {6,36}, {23,39}, {23,40}, {24,53}, {11,36}, {3,55}, {9,51}, {22,48}, {21,47}, {22,26}, {10,36}, {2,51}, {15,37}, {20,51}, {10,38}, {10,46}, {22,56}, {9,55}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {11,48}, {19,30}, {8,47}, {21,37}, {7,46}, {3,29}, {11,52}, {17,31}, {1,41}, {13,53}, {12,41}, {20,54}, {11,44}, {13,45}, {20,31}, {3,25}, {23,48}, {17,55}, {17,28}, {19,45}, {16,56}, {2,43}, {5,52}, {22,30}, {2,27}, {7,50}, {22,44}, {7,34}, {9,31}, {10,44}, {18,25}, {24,25}, {15,53}, {23,51}, {1,25}, {22,50}, {13,50}, {23,56}, {23,35}, {20,30}, {5,39}, {14,27}, {18,44}, {6,45}, {17,44}, {19,41}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {20,47}, {4,50}, {23,47}, {16,30}, {12,45}, {4,34}, {15,35}, {12,29}, {11,32}, {17,52}, {16,26}, {12,25}, {10,52}, {14,43}, {19,50}, {13,38}, {15,49}, {23,27}, {10,54}, {19,53}, {7,49}, {9,41}, {3,41}, {4,36}, {15,39}, {1,54}, {22,52}, {24,29}, {21,39}, {19,29}, {6,37}, {10,28}, {5,31}, {19,34}, {16,44}, {4,44}, {2,54}, {21,49}, {2,26}, {3,53}, {18,41}, {10,40}, {14,55}, {7,29}, {11,56}, {14,47}, {22,38}, {24,49}, {8,27}, {23,52}, {3,33}, {16,36}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {14,51}, {19,33}, {16,46}, {18,28}, {15,29}, {11,47}, {4,46}, {18,52}, {8,43}, {2,31}, {16,38}, {1,33}, {21,33}, {12,36}, {3,45}, {12,44}, {19,25}, {4,42}, {16,50}, {12,53}, {23,55}, {14,30}, {12,33}, {5,47}, {20,27}, {21,35}, {15,55}, {18,49}, {15,47}, {11,31}, {1,53}, {5,51}, {13,34}, {24,52}, {7,25}, {1,34}, {21,43}, {7,42}, {2,50}, {21,27}, {6,41}, {21,29}, {17,40}, {24,44}, {6,28}, {21,51}, {13,33}, {15,51}, {18,53}, {13,54}, {20,34}, {7,26}, {1,50}, {11,28}, {2,47}, {8,55}, {5,55}, {14,42}, {10,34}, {17,27}, {8,35}, {8,54}, {9,45}, {4,26}, {16,54}, {22,46}, {16,52}, {3,27}, {9,27}, {7,38}, {2,38}, {12,32}, {15,31}, {6,53}, {9,49}, {18,40}, {11,55}, {5,44}, {22,54}, {9,53}, {4,52}, {22,36}, {9,43}, {1,46}, {3,37}, {8,39}, {22,32}, {5,36}, {24,33}, {15,43}, {13,46}, {10,32}, {17,32}, {17,43}, {22,28}, {1,37}, {2,42}, {16,32}, {4,48}, {6,33}, {18,48}, {19,54}, {5,48}, {17,48}, {15,25}, {18,37}, {4,56}, {4,54}, {9,37}, {6,40} }; // ETB56.136 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1009714565912092213248 EdgesBipt[56][136]:={ {24,34}, {15,33}, {6,52}, {19,28}, {10,37}, {16,47}, {15,38}, {14,36}, {11,49}, {23,29}, {19,26}, {11,25}, {23,53}, {8,51}, {5,45}, {22,40}, {1,49}, {14,38}, {17,42}, {15,54}, {2,35}, {17,33}, {4,31}, {8,40}, {3,35}, {20,46}, {21,30}, {15,27}, {16,55}, {24,32}, {21,41}, {24,36}, {11,53}, {14,56}, {21,54}, {10,39}, {6,48}, {16,37}, {1,35}, {15,41}, {4,37}, {4,40}, {20,52}, {2,46}, {6,56}, {13,43}, {24,48}, {13,27}, {10,48}, {24,28}, {14,44}, {6,32}, {24,56}, {4,38}, {3,49}, {21,53}, {11,29}, {10,56}, {10,47}, {20,38}, {22,55}, {12,28}, {22,37}, {12,48}, {16,48}, {1,52}, {18,32}, {2,52}, {23,45}, {4,30}, {8,30}, {9,33}, {20,43}, {8,46}, {5,41}, {17,39}, {8,52}, {21,38}, {7,41}, {23,31}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {7,33}, {12,31}, {12,40}, {17,26}, {2,48}, {15,30}, {5,37}, {19,52}, {24,50}, {24,47}, {24,31}, {13,42}, {20,35}, {9,35}, {1,36}, {19,42}, {23,42}, {13,51}, {2,56}, {15,45}, {6,44}, {18,39}, {24,26}, {8,38}, {13,26}, {17,47}, {5,50}, {12,52}, {5,34}, {18,47}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {6,34}, {1,43}, {9,29}, {18,26}, {18,36}, {3,38}, {3,43}, {18,56}, {14,46}, {9,46}, {24,40}, {14,35}, {1,42}, {3,51}, {18,55}, {13,49}, {2,30}, {5,53}, {11,42}, {19,49}, {17,29}, {8,48}, {14,54}, {4,32}, {2,44}, {21,45}, {8,56}, {19,27}, {14,28}, {12,56}, {12,47}, {6,36}, {23,39}, {4,53}, {16,29}, {3,30}, {9,51}, {22,48}, {2,51}, {15,37}, {20,51}, {10,38}, {10,46}, {11,33}, {22,56}, {13,25}, {21,25}, {10,55}, {9,38}, {24,55}, {21,37}, {3,29}, {17,31}, {13,36}, {1,41}, {4,45}, {12,55}, {1,51}, {22,29}, {9,54}, {20,54}, {4,47}, {24,39}, {3,25}, {11,34}, {17,55}, {7,35}, {16,56}, {2,43}, {22,30}, {2,27}, {7,50}, {7,34}, {10,31}, {10,29}, {15,53}, {1,25}, {22,31}, {13,50}, {20,30}, {9,30}, {5,39}, {14,27}, {18,44}, {22,45}, {7,28}, {20,44}, {19,41}, {14,52}, {9,25}, {15,46}, {10,30}, {23,47}, {16,30}, {15,35}, {6,31}, {22,53}, {14,43}, {19,50}, {1,44}, {15,49}, {10,54}, {18,31}, {19,44}, {14,40}, {7,49}, {9,41}, {16,31}, {16,45}, {3,41}, {23,34}, {4,29}, {7,52}, {8,32}, {22,39}, {5,31}, {17,25}, {20,48}, {19,34}, {2,54}, {21,49}, {12,50}, {17,41}, {20,32}, {3,53}, {17,50}, {10,40}, {23,37}, {2,28}, {22,38}, {8,36}, {13,44}, {8,27}, {21,46}, {4,55}, {6,47}, {3,33}, {14,51}, {19,33}, {16,53}, {19,43}, {16,46}, {18,28}, {15,29}, {11,47}, {4,46}, {18,52}, {8,43}, {16,38}, {11,45}, {1,33}, {20,28}, {21,33}, {3,54}, {12,36}, {3,45}, {12,44}, {5,26}, {19,25}, {5,29}, {23,55}, {14,30}, {12,39}, {5,47}, {17,34}, {20,27}, {21,35}, {7,51}, {11,31}, {19,35}, {13,34}, {24,52}, {11,41}, {7,25}, {6,26}, {1,34}, {13,35}, {21,43}, {7,42}, {21,27}, {23,49}, {10,53}, {21,29}, {24,44}, {12,34}, {8,44}, {19,36}, {6,28}, {6,42}, {21,51}, {13,33}, {15,51}, {5,49}, {7,26}, {1,50}, {11,37}, {23,33}, {5,55}, {17,53}, {8,35}, {10,45}, {2,40}, {8,54}, {17,45}, {9,45}, {18,50}, {16,54}, {22,46}, {16,39}, {17,37}, {13,28}, {1,28}, {20,56}, {23,25}, {3,27}, {9,27}, {5,42}, {2,38}, {23,50}, {12,32}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {18,40}, {11,55}, {19,51}, {24,42}, {20,40}, {1,27}, {22,54}, {5,25}, {9,53}, {9,43}, {22,47}, {3,37}, {22,32}, {23,41}, {15,43}, {10,32}, {4,39}, {7,36}, {11,50}, {23,26}, {13,52}, {6,50}, {14,48}, {18,42}, {16,32}, {4,48}, {2,32}, {18,34}, {17,49}, {18,48}, {11,26}, {3,46}, {15,25}, {5,33}, {4,56}, {4,54}, {9,37}, {6,40} }; // ETB56.137 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 35497777707846991872 EdgesBipt[56][137]:={ {24,34}, {6,52}, {18,45}, {7,48}, {10,37}, {16,47}, {15,38}, {14,36}, {9,32}, {6,25}, {19,26}, {4,28}, {5,43}, {3,26}, {8,26}, {1,49}, {1,40}, {13,39}, {11,43}, {15,54}, {14,50}, {17,33}, {3,35}, {10,33}, {15,27}, {16,55}, {24,54}, {11,53}, {2,49}, {17,56}, {14,45}, {19,37}, {15,56}, {20,37}, {21,28}, {4,51}, {7,30}, {8,31}, {4,40}, {4,37}, {20,52}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {14,44}, {2,33}, {11,35}, {11,29}, {10,56}, {6,29}, {11,27}, {12,28}, {22,37}, {2,25}, {12,48}, {4,43}, {16,42}, {1,52}, {18,32}, {15,32}, {8,30}, {16,49}, {23,38}, {9,33}, {20,43}, {8,46}, {24,46}, {17,39}, {23,31}, {23,54}, {7,27}, {6,49}, {22,42}, {12,40}, {20,29}, {13,47}, {24,30}, {2,48}, {15,30}, {22,25}, {24,50}, {24,47}, {21,50}, {13,55}, {16,25}, {9,56}, {24,31}, {13,42}, {20,35}, {23,43}, {1,36}, {19,42}, {12,37}, {13,51}, {16,34}, {2,56}, {7,56}, {6,44}, {24,26}, {8,38}, {13,26}, {17,47}, {9,47}, {12,52}, {5,50}, {17,36}, {2,29}, {5,34}, {18,46}, {8,49}, {20,36}, {22,34}, {18,29}, {9,36}, {6,34}, {11,51}, {9,39}, {8,42}, {7,54}, {18,33}, {3,38}, {5,27}, {19,46}, {3,43}, {5,28}, {18,56}, {21,55}, {24,41}, {7,32}, {19,38}, {1,31}, {12,27}, {3,51}, {1,39}, {2,30}, {11,42}, {5,35}, {14,34}, {4,32}, {22,49}, {19,27}, {8,50}, {14,28}, {12,56}, {6,36}, {23,39}, {23,40}, {1,55}, {4,53}, {3,30}, {1,47}, {21,47}, {22,26}, {14,33}, {20,51}, {10,38}, {10,46}, {9,55}, {21,31}, {19,30}, {8,47}, {8,41}, {24,55}, {18,38}, {7,46}, {3,29}, {17,31}, {13,36}, {1,41}, {4,45}, {22,29}, {18,54}, {24,39}, {23,48}, {11,34}, {17,55}, {17,28}, {21,42}, {7,35}, {19,45}, {11,46}, {5,52}, {22,44}, {9,31}, {10,29}, {18,25}, {24,25}, {23,51}, {1,25}, {22,50}, {13,50}, {23,56}, {23,35}, {13,31}, {5,39}, {24,38}, {22,45}, {16,41}, {6,45}, {20,44}, {17,44}, {8,34}, {14,52}, {9,25}, {15,46}, {10,30}, {23,47}, {16,30}, {12,45}, {10,25}, {15,35}, {12,29}, {17,52}, {22,53}, {9,52}, {16,26}, {11,54}, {15,40}, {3,42}, {19,50}, {14,37}, {1,44}, {23,27}, {10,54}, {19,53}, {1,48}, {9,41}, {16,31}, {7,39}, {4,36}, {15,39}, {22,41}, {4,29}, {9,44}, {1,32}, {22,52}, {21,39}, {19,29}, {6,37}, {5,31}, {17,25}, {20,48}, {19,34}, {4,44}, {2,54}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {3,53}, {18,41}, {10,40}, {18,30}, {21,52}, {13,44}, {24,49}, {2,45}, {14,26}, {23,32}, {11,30}, {3,50}, {9,28}, {3,34}, {4,27}, {19,43}, {7,55}, {16,46}, {16,38}, {11,45}, {1,33}, {20,28}, {3,54}, {20,53}, {12,36}, {3,45}, {2,53}, {12,44}, {5,26}, {7,47}, {2,37}, {16,50}, {12,53}, {10,41}, {23,55}, {21,34}, {7,31}, {8,33}, {5,47}, {20,27}, {21,35}, {15,55}, {18,49}, {15,47}, {14,49}, {7,51}, {22,33}, {21,44}, {15,48}, {19,35}, {5,51}, {13,34}, {6,26}, {13,35}, {21,43}, {21,27}, {6,41}, {10,53}, {17,40}, {23,30}, {6,28}, {6,42}, {4,35}, {21,51}, {15,51}, {23,46}, {18,53}, {14,25}, {1,56}, {20,45}, {11,37}, {8,55}, {5,55}, {14,42}, {16,33}, {10,45}, {2,40}, {8,54}, {14,41}, {16,54}, {16,39}, {13,28}, {1,28}, {20,56}, {3,27}, {7,38}, {5,42}, {2,38}, {12,32}, {21,36}, {15,31}, {6,53}, {9,49}, {7,43}, {18,40}, {9,40}, {19,51}, {24,42}, {20,40}, {5,44}, {4,52}, {22,36}, {14,53}, {3,37}, {8,39}, {5,36}, {24,33}, {15,43}, {10,32}, {12,35}, {17,32}, {11,50}, {13,52}, {6,50}, {21,26}, {22,28}, {8,25}, {4,48}, {2,32}, {6,33}, {12,51}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {19,54}, {17,48}, {18,37}, {4,56}, {11,38}, {10,49} }; // ETB56.138 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 42268920643584 EdgesBipt[56][138]:={ {24,34}, {15,33}, {18,45}, {10,37}, {16,47}, {6,25}, {11,25}, {4,28}, {5,43}, {2,55}, {5,45}, {22,40}, {13,37}, {1,40}, {17,42}, {13,39}, {15,44}, {11,43}, {14,50}, {3,35}, {21,30}, {24,32}, {24,54}, {11,53}, {14,56}, {17,56}, {10,39}, {6,48}, {19,37}, {15,56}, {20,37}, {21,28}, {5,32}, {4,51}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {20,52}, {2,46}, {6,56}, {13,43}, {24,48}, {13,27}, {23,44}, {14,44}, {6,32}, {17,35}, {21,53}, {11,35}, {11,29}, {10,42}, {11,27}, {10,47}, {20,26}, {12,28}, {4,43}, {16,48}, {1,52}, {2,52}, {8,30}, {16,49}, {20,43}, {8,46}, {24,46}, {23,31}, {12,26}, {13,30}, {12,42}, {6,49}, {10,26}, {7,33}, {3,52}, {12,40}, {19,48}, {23,28}, {17,26}, {24,30}, {15,30}, {20,39}, {22,25}, {5,37}, {19,52}, {24,50}, {24,47}, {13,55}, {16,25}, {9,56}, {24,31}, {24,45}, {20,35}, {9,35}, {1,36}, {23,42}, {12,37}, {16,34}, {7,56}, {6,44}, {18,39}, {8,38}, {20,55}, {17,47}, {9,47}, {12,52}, {17,36}, {2,29}, {18,47}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {8,49}, {20,36}, {20,42}, {22,34}, {18,29}, {9,36}, {6,34}, {11,51}, {18,26}, {18,36}, {6,51}, {22,43}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {21,55}, {24,41}, {2,39}, {14,35}, {1,42}, {19,38}, {1,31}, {12,27}, {3,51}, {18,55}, {13,49}, {6,27}, {2,30}, {5,53}, {14,34}, {15,50}, {3,36}, {8,48}, {22,49}, {21,45}, {19,27}, {8,50}, {14,28}, {12,56}, {23,39}, {23,40}, {4,53}, {16,29}, {11,36}, {13,48}, {9,51}, {1,47}, {22,48}, {10,36}, {14,33}, {20,51}, {10,38}, {15,34}, {10,46}, {22,56}, {17,51}, {11,48}, {10,55}, {8,47}, {8,41}, {9,38}, {9,26}, {17,54}, {18,38}, {21,37}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {1,41}, {12,55}, {1,51}, {13,53}, {9,54}, {18,54}, {13,45}, {3,25}, {19,45}, {7,50}, {22,44}, {7,34}, {10,31}, {9,31}, {10,29}, {24,25}, {1,25}, {22,50}, {23,56}, {5,39}, {24,38}, {3,32}, {14,27}, {16,41}, {7,28}, {20,44}, {19,41}, {13,29}, {8,34}, {9,25}, {15,46}, {10,30}, {23,47}, {16,30}, {17,38}, {11,32}, {17,52}, {9,52}, {21,32}, {11,54}, {15,40}, {14,43}, {10,52}, {15,49}, {10,54}, {19,53}, {18,31}, {14,40}, {7,49}, {9,41}, {16,31}, {16,45}, {7,39}, {3,41}, {23,34}, {4,36}, {15,39}, {22,41}, {1,54}, {24,29}, {21,39}, {19,29}, {6,43}, {8,32}, {17,25}, {4,44}, {2,54}, {21,49}, {7,40}, {17,41}, {12,43}, {2,26}, {3,53}, {17,50}, {18,30}, {8,29}, {13,44}, {24,49}, {2,45}, {21,46}, {5,46}, {4,55}, {3,48}, {13,32}, {14,51}, {4,27}, {19,43}, {7,55}, {16,46}, {18,52}, {2,31}, {16,38}, {11,45}, {20,28}, {21,33}, {3,54}, {20,53}, {12,36}, {3,45}, {2,53}, {12,44}, {19,25}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {12,53}, {23,55}, {7,31}, {8,33}, {12,39}, {17,34}, {20,27}, {15,55}, {15,47}, {14,49}, {22,33}, {21,44}, {19,35}, {11,41}, {9,50}, {15,42}, {1,34}, {22,27}, {22,51}, {21,43}, {7,42}, {21,27}, {6,41}, {23,49}, {10,53}, {21,29}, {17,40}, {19,36}, {23,30}, {6,28}, {4,35}, {21,48}, {19,32}, {13,33}, {23,46}, {18,53}, {14,25}, {5,49}, {1,56}, {7,26}, {1,50}, {11,37}, {23,33}, {2,47}, {5,55}, {16,33}, {10,45}, {8,54}, {14,41}, {4,26}, {16,54}, {13,28}, {20,56}, {3,27}, {2,38}, {23,50}, {22,35}, {15,31}, {7,44}, {9,40}, {19,51}, {20,40}, {5,44}, {15,26}, {4,52}, {3,37}, {22,32}, {9,42}, {9,34}, {24,33}, {13,46}, {4,39}, {12,35}, {6,35}, {23,26}, {6,50}, {14,48}, {22,28}, {8,25}, {2,42}, {18,42}, {16,32}, {6,33}, {12,51}, {19,54}, {5,48}, {5,33}, {18,37}, {4,56}, {5,30}, {11,38}, {6,40} }; // ETB56.139 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 86566749478060032 EdgesBipt[56][139]:={ {24,34}, {18,45}, {6,38}, {19,28}, {10,37}, {16,47}, {14,36}, {11,49}, {9,32}, {5,38}, {23,29}, {5,56}, {11,25}, {4,28}, {2,55}, {23,53}, {8,51}, {3,26}, {8,26}, {22,40}, {1,49}, {13,37}, {15,44}, {11,43}, {2,35}, {17,33}, {4,31}, {3,35}, {20,46}, {10,33}, {14,31}, {15,27}, {16,55}, {24,32}, {24,54}, {24,36}, {11,53}, {14,56}, {17,56}, {6,48}, {16,28}, {5,32}, {7,30}, {8,31}, {6,56}, {24,48}, {10,48}, {24,28}, {14,44}, {6,32}, {24,56}, {21,53}, {11,35}, {11,29}, {10,56}, {6,29}, {11,27}, {20,38}, {20,26}, {12,28}, {22,37}, {12,48}, {21,40}, {16,42}, {18,32}, {2,52}, {23,45}, {8,30}, {16,49}, {12,46}, {20,43}, {8,46}, {24,46}, {5,41}, {17,39}, {12,38}, {7,41}, {23,31}, {12,26}, {13,30}, {7,27}, {12,42}, {11,39}, {7,33}, {3,52}, {12,40}, {24,30}, {2,48}, {20,39}, {22,25}, {19,52}, {24,50}, {21,50}, {18,35}, {16,25}, {9,56}, {13,42}, {20,35}, {23,43}, {1,29}, {16,34}, {2,56}, {6,46}, {15,45}, {24,26}, {8,38}, {20,55}, {13,26}, {17,47}, {9,47}, {12,52}, {4,49}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {13,41}, {20,42}, {18,29}, {9,29}, {9,39}, {11,51}, {8,42}, {7,54}, {5,54}, {6,51}, {19,46}, {3,43}, {15,28}, {18,56}, {21,55}, {2,39}, {24,40}, {14,35}, {1,42}, {19,38}, {3,51}, {13,49}, {6,27}, {15,50}, {3,36}, {19,49}, {22,49}, {2,44}, {1,30}, {21,45}, {19,27}, {8,50}, {14,28}, {12,56}, {23,39}, {18,51}, {22,48}, {21,47}, {10,36}, {2,51}, {15,37}, {20,51}, {15,34}, {11,33}, {22,56}, {9,55}, {13,25}, {14,39}, {21,31}, {19,30}, {8,47}, {4,41}, {9,26}, {17,54}, {18,38}, {21,37}, {7,46}, {3,29}, {17,31}, {1,41}, {13,53}, {22,29}, {18,54}, {20,54}, {3,44}, {13,45}, {4,47}, {20,31}, {17,55}, {21,42}, {7,35}, {2,43}, {2,27}, {12,30}, {6,30}, {4,33}, {22,44}, {9,31}, {10,44}, {10,29}, {15,52}, {17,46}, {15,53}, {23,51}, {1,25}, {13,50}, {23,35}, {20,30}, {5,39}, {24,38}, {14,27}, {22,45}, {16,41}, {7,28}, {6,45}, {19,41}, {13,29}, {14,52}, {8,34}, {17,30}, {5,40}, {20,47}, {4,50}, {23,47}, {4,34}, {10,25}, {15,35}, {17,38}, {22,53}, {21,32}, {16,26}, {10,52}, {3,42}, {14,43}, {13,38}, {23,27}, {19,44}, {14,40}, {7,49}, {16,31}, {4,36}, {22,41}, {1,54}, {22,52}, {21,39}, {7,52}, {6,43}, {6,37}, {10,28}, {5,31}, {17,25}, {16,44}, {4,44}, {12,50}, {17,41}, {3,53}, {10,40}, {14,55}, {23,37}, {14,47}, {18,30}, {2,28}, {8,27}, {5,46}, {4,55}, {16,36}, {1,45}, {20,50}, {14,51}, {3,50}, {19,33}, {3,34}, {19,43}, {15,29}, {11,47}, {8,43}, {2,31}, {11,45}, {1,33}, {18,27}, {12,36}, {3,45}, {12,44}, {19,25}, {4,42}, {16,50}, {10,41}, {4,25}, {23,55}, {3,28}, {21,34}, {5,47}, {6,54}, {20,27}, {7,51}, {22,33}, {11,31}, {1,53}, {19,35}, {13,34}, {24,52}, {11,41}, {7,25}, {9,50}, {15,42}, {1,34}, {23,49}, {10,53}, {21,29}, {17,40}, {24,44}, {12,34}, {19,36}, {21,48}, {13,33}, {18,43}, {15,51}, {18,53}, {5,49}, {13,54}, {20,34}, {1,50}, {11,37}, {23,33}, {2,47}, {8,55}, {5,55}, {16,33}, {8,35}, {10,45}, {2,40}, {8,54}, {21,56}, {9,45}, {4,26}, {16,39}, {23,25}, {16,52}, {3,27}, {7,38}, {12,32}, {15,36}, {6,53}, {7,44}, {7,43}, {18,40}, {9,40}, {11,55}, {19,51}, {24,42}, {5,25}, {12,54}, {9,53}, {15,26}, {4,52}, {22,36}, {1,46}, {3,37}, {8,39}, {22,32}, {9,42}, {23,41}, {9,34}, {15,43}, {13,46}, {10,32}, {4,39}, {7,36}, {6,35}, {17,32}, {14,48}, {21,26}, {22,28}, {1,37}, {2,32}, {17,49}, {18,48}, {9,48}, {19,54}, {5,48}, {17,48}, {5,33}, {18,37}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB56.140 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21134460321792 EdgesBipt[56][140]:={ {24,34}, {15,33}, {6,52}, {11,40}, {11,49}, {9,32}, {23,29}, {19,26}, {11,25}, {5,43}, {2,55}, {23,53}, {5,45}, {22,40}, {1,49}, {14,38}, {17,42}, {15,44}, {2,35}, {8,40}, {3,35}, {10,33}, {21,30}, {14,31}, {15,27}, {11,53}, {21,54}, {17,56}, {20,37}, {16,28}, {4,51}, {15,41}, {8,31}, {4,37}, {20,52}, {2,46}, {13,43}, {13,27}, {10,48}, {4,38}, {21,53}, {11,29}, {10,56}, {19,40}, {20,26}, {22,55}, {12,28}, {19,31}, {22,37}, {4,43}, {21,40}, {16,42}, {18,32}, {23,45}, {4,30}, {16,49}, {23,38}, {9,33}, {7,45}, {8,37}, {17,39}, {21,38}, {7,41}, {13,30}, {23,54}, {6,39}, {7,33}, {3,52}, {19,48}, {20,29}, {17,26}, {2,48}, {5,37}, {24,50}, {24,47}, {21,50}, {18,35}, {16,25}, {9,56}, {24,31}, {24,45}, {13,42}, {23,43}, {19,42}, {12,37}, {13,51}, {16,34}, {2,56}, {6,44}, {24,26}, {13,26}, {17,47}, {9,47}, {12,52}, {5,50}, {17,36}, {5,34}, {1,38}, {18,46}, {1,26}, {8,49}, {20,36}, {20,42}, {24,37}, {9,36}, {6,34}, {12,49}, {9,39}, {18,36}, {6,51}, {22,43}, {5,27}, {19,46}, {3,43}, {15,28}, {18,56}, {24,41}, {14,46}, {2,39}, {14,35}, {1,42}, {19,56}, {19,38}, {1,31}, {12,27}, {19,47}, {3,51}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {3,36}, {8,48}, {14,54}, {1,30}, {21,45}, {8,56}, {6,36}, {1,55}, {18,51}, {24,53}, {4,53}, {1,47}, {22,48}, {10,36}, {14,33}, {2,51}, {10,38}, {10,46}, {11,33}, {22,56}, {9,55}, {14,39}, {11,48}, {19,30}, {8,47}, {8,41}, {24,55}, {18,38}, {21,37}, {8,45}, {3,29}, {17,31}, {13,36}, {1,41}, {4,45}, {22,29}, {12,41}, {18,54}, {3,44}, {24,39}, {17,55}, {17,28}, {21,42}, {11,46}, {2,43}, {2,27}, {7,50}, {7,34}, {9,31}, {10,44}, {15,52}, {24,25}, {23,51}, {1,25}, {22,31}, {13,50}, {23,35}, {5,39}, {8,53}, {19,55}, {3,32}, {14,27}, {18,44}, {22,45}, {16,41}, {7,28}, {20,44}, {17,44}, {9,25}, {10,30}, {4,50}, {16,30}, {12,45}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {17,52}, {22,53}, {9,52}, {21,32}, {16,26}, {11,54}, {12,25}, {10,52}, {14,43}, {19,50}, {13,38}, {15,49}, {23,27}, {10,54}, {7,49}, {9,41}, {15,39}, {4,29}, {9,44}, {1,54}, {24,29}, {7,52}, {6,43}, {8,32}, {22,39}, {10,28}, {5,31}, {20,48}, {19,34}, {16,44}, {2,54}, {12,43}, {20,32}, {3,53}, {17,50}, {10,40}, {14,55}, {23,37}, {7,29}, {11,56}, {14,47}, {18,30}, {8,29}, {13,44}, {24,49}, {21,46}, {6,47}, {3,48}, {16,36}, {20,50}, {14,51}, {11,30}, {19,39}, {9,28}, {4,27}, {16,46}, {18,28}, {4,46}, {18,52}, {3,56}, {2,31}, {16,38}, {11,45}, {1,33}, {18,27}, {20,28}, {20,53}, {12,36}, {3,45}, {12,44}, {5,26}, {4,42}, {5,29}, {16,50}, {12,53}, {10,41}, {14,30}, {3,28}, {21,34}, {12,33}, {8,33}, {5,47}, {17,34}, {15,55}, {15,47}, {14,49}, {5,51}, {13,34}, {11,41}, {7,25}, {6,26}, {1,34}, {22,27}, {22,51}, {13,35}, {7,42}, {23,49}, {21,29}, {17,40}, {23,30}, {6,28}, {6,42}, {4,35}, {21,48}, {19,32}, {18,43}, {15,51}, {23,46}, {14,25}, {13,54}, {20,34}, {7,26}, {20,45}, {1,50}, {11,37}, {23,33}, {2,47}, {8,55}, {5,55}, {16,33}, {3,40}, {2,40}, {21,56}, {14,41}, {4,26}, {16,54}, {13,28}, {20,56}, {23,25}, {16,52}, {3,27}, {5,42}, {2,38}, {15,36}, {22,35}, {15,31}, {6,55}, {7,44}, {9,49}, {18,40}, {9,40}, {24,42}, {20,40}, {22,47}, {1,46}, {3,37}, {8,39}, {22,32}, {23,41}, {24,33}, {15,43}, {13,46}, {10,32}, {12,35}, {7,36}, {6,35}, {17,32}, {13,52}, {6,50}, {21,26}, {8,25}, {2,32}, {12,51}, {18,48}, {9,48}, {19,54}, {17,48}, {15,25}, {4,54}, {11,38}, {10,49} }; // ETB56.141 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 206158430208 EdgesBipt[56][141]:={ {15,33}, {7,48}, {19,28}, {11,40}, {10,37}, {15,38}, {19,26}, {11,25}, {4,28}, {5,45}, {3,26}, {22,40}, {13,37}, {14,38}, {13,39}, {15,44}, {11,43}, {15,54}, {14,50}, {8,40}, {20,46}, {21,30}, {14,31}, {15,27}, {16,55}, {24,54}, {14,56}, {2,49}, {14,45}, {6,48}, {19,37}, {15,56}, {20,37}, {16,28}, {21,28}, {7,30}, {20,52}, {13,43}, {13,27}, {14,29}, {23,44}, {2,33}, {17,35}, {6,32}, {4,38}, {3,49}, {11,35}, {10,56}, {10,42}, {11,27}, {10,47}, {20,38}, {2,34}, {22,37}, {2,25}, {21,40}, {16,48}, {1,52}, {18,32}, {15,32}, {4,30}, {16,49}, {8,30}, {12,46}, {9,33}, {8,46}, {8,37}, {24,46}, {5,41}, {17,39}, {8,52}, {12,38}, {12,26}, {12,42}, {6,39}, {23,36}, {6,49}, {10,26}, {22,42}, {12,31}, {19,48}, {20,29}, {23,28}, {13,47}, {24,30}, {19,52}, {24,47}, {21,50}, {13,55}, {18,35}, {16,25}, {9,56}, {24,31}, {24,45}, {23,43}, {9,35}, {1,36}, {19,42}, {12,37}, {16,34}, {2,56}, {10,35}, {18,39}, {24,26}, {8,38}, {17,47}, {5,50}, {4,49}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {13,41}, {20,36}, {10,51}, {24,37}, {6,34}, {1,43}, {9,29}, {11,51}, {12,49}, {18,26}, {18,33}, {6,51}, {22,43}, {3,38}, {19,46}, {3,43}, {15,28}, {20,41}, {9,46}, {7,32}, {1,31}, {18,55}, {1,39}, {7,37}, {6,27}, {7,53}, {5,35}, {14,34}, {17,29}, {14,54}, {20,25}, {4,32}, {21,45}, {8,56}, {12,47}, {23,40}, {1,55}, {18,51}, {24,53}, {11,36}, {13,48}, {9,51}, {1,47}, {22,26}, {10,36}, {14,33}, {15,37}, {22,56}, {13,25}, {17,51}, {11,48}, {19,30}, {4,41}, {8,41}, {24,55}, {9,26}, {7,46}, {8,45}, {17,31}, {11,52}, {13,36}, {1,41}, {12,55}, {13,53}, {22,29}, {20,54}, {11,44}, {3,44}, {24,39}, {23,48}, {17,55}, {11,34}, {21,42}, {7,35}, {2,43}, {5,52}, {2,27}, {12,30}, {4,33}, {10,31}, {10,29}, {17,46}, {15,53}, {23,51}, {1,25}, {22,31}, {23,56}, {23,35}, {20,30}, {13,31}, {9,30}, {5,39}, {24,38}, {8,53}, {19,55}, {3,32}, {14,27}, {22,45}, {16,41}, {7,28}, {20,44}, {17,30}, {4,50}, {16,30}, {12,45}, {4,34}, {12,29}, {6,31}, {11,32}, {17,52}, {22,53}, {15,40}, {3,42}, {14,43}, {10,52}, {13,38}, {15,49}, {23,27}, {19,53}, {18,31}, {19,44}, {14,40}, {1,48}, {7,39}, {23,34}, {1,32}, {9,44}, {1,54}, {22,52}, {24,29}, {7,52}, {6,43}, {5,31}, {17,25}, {16,44}, {4,44}, {2,54}, {21,49}, {2,41}, {17,41}, {3,53}, {17,50}, {10,40}, {11,56}, {14,47}, {8,29}, {8,36}, {24,49}, {2,45}, {21,46}, {23,52}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {13,32}, {23,32}, {19,39}, {9,28}, {7,55}, {16,46}, {4,46}, {3,56}, {2,31}, {16,38}, {18,27}, {20,28}, {21,33}, {3,54}, {20,53}, {5,29}, {16,50}, {12,53}, {4,25}, {3,28}, {21,34}, {12,33}, {12,39}, {5,47}, {17,34}, {21,35}, {18,49}, {7,51}, {14,49}, {21,44}, {15,48}, {1,53}, {19,35}, {5,51}, {11,41}, {9,50}, {6,26}, {15,42}, {22,27}, {22,51}, {7,42}, {2,50}, {10,53}, {21,29}, {8,44}, {19,36}, {6,42}, {21,51}, {19,32}, {18,43}, {14,25}, {13,54}, {7,26}, {20,45}, {11,28}, {2,47}, {5,55}, {10,27}, {16,33}, {3,40}, {10,45}, {2,40}, {8,54}, {21,56}, {17,45}, {9,45}, {14,41}, {18,50}, {16,54}, {16,39}, {20,56}, {23,25}, {3,27}, {2,38}, {23,50}, {22,35}, {10,43}, {6,55}, {7,44}, {8,28}, {9,49}, {9,40}, {19,51}, {24,42}, {20,40}, {1,27}, {5,25}, {12,54}, {15,26}, {22,36}, {22,47}, {3,37}, {9,42}, {23,41}, {5,36}, {9,34}, {24,33}, {15,43}, {4,39}, {7,36}, {6,35}, {11,50}, {13,52}, {6,50}, {21,26}, {1,37}, {8,25}, {18,42}, {16,32}, {4,48}, {6,33}, {18,34}, {18,48}, {5,30}, {4,54} }; // ETB56.142 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 309237645312 EdgesBipt[56][142]:={ {24,34}, {6,52}, {18,45}, {6,38}, {19,28}, {10,37}, {11,49}, {9,32}, {23,29}, {19,26}, {11,25}, {4,28}, {5,43}, {2,55}, {8,51}, {5,45}, {3,26}, {22,40}, {1,40}, {14,38}, {13,39}, {15,44}, {11,43}, {14,50}, {2,35}, {17,33}, {8,40}, {21,30}, {15,27}, {16,55}, {24,32}, {21,41}, {24,36}, {2,49}, {10,39}, {14,45}, {6,48}, {15,56}, {20,37}, {16,28}, {7,30}, {15,41}, {4,40}, {2,46}, {6,56}, {24,48}, {14,29}, {23,44}, {13,40}, {2,33}, {17,35}, {6,32}, {4,38}, {11,29}, {10,56}, {6,29}, {11,27}, {10,47}, {20,38}, {2,34}, {22,55}, {22,37}, {12,48}, {16,42}, {16,48}, {18,32}, {23,45}, {23,38}, {20,43}, {8,37}, {5,41}, {7,41}, {20,49}, {12,26}, {13,30}, {23,54}, {7,27}, {12,42}, {6,49}, {3,52}, {23,28}, {13,47}, {2,48}, {20,39}, {5,37}, {24,50}, {21,50}, {13,55}, {20,35}, {23,43}, {1,29}, {19,42}, {23,42}, {12,37}, {16,34}, {10,35}, {24,26}, {8,38}, {20,55}, {17,47}, {9,47}, {12,52}, {2,29}, {18,47}, {1,38}, {14,32}, {13,41}, {8,49}, {16,40}, {10,51}, {22,34}, {24,37}, {18,29}, {9,36}, {9,29}, {12,49}, {18,33}, {18,36}, {5,27}, {19,46}, {3,43}, {15,28}, {18,56}, {14,46}, {2,39}, {9,46}, {14,35}, {3,47}, {1,31}, {3,31}, {12,27}, {1,39}, {2,30}, {5,53}, {11,42}, {5,35}, {14,34}, {3,36}, {17,29}, {14,54}, {4,32}, {1,30}, {21,45}, {8,56}, {19,27}, {6,36}, {1,55}, {24,53}, {1,47}, {21,47}, {10,36}, {14,33}, {2,51}, {15,37}, {20,51}, {10,46}, {11,33}, {22,56}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {11,48}, {19,30}, {10,55}, {9,26}, {18,38}, {7,46}, {17,31}, {1,41}, {18,54}, {20,54}, {11,44}, {13,45}, {3,44}, {3,25}, {23,48}, {21,42}, {7,35}, {16,56}, {22,30}, {7,50}, {7,34}, {10,31}, {9,31}, {15,52}, {17,46}, {15,53}, {13,56}, {1,25}, {22,31}, {22,50}, {13,31}, {9,30}, {8,53}, {19,55}, {7,28}, {6,45}, {20,44}, {19,41}, {13,29}, {9,25}, {17,30}, {10,30}, {4,50}, {4,34}, {6,31}, {11,32}, {22,53}, {9,52}, {21,32}, {16,26}, {11,54}, {15,40}, {3,42}, {10,52}, {19,50}, {1,44}, {13,38}, {23,27}, {24,35}, {18,31}, {19,44}, {24,43}, {9,41}, {7,39}, {3,41}, {4,36}, {1,54}, {22,52}, {6,37}, {22,39}, {24,27}, {24,51}, {5,31}, {17,25}, {19,34}, {16,44}, {4,44}, {2,54}, {12,50}, {17,41}, {12,43}, {3,53}, {10,40}, {14,55}, {21,52}, {13,44}, {24,49}, {8,27}, {2,45}, {21,46}, {5,46}, {4,55}, {6,47}, {16,36}, {1,45}, {10,50}, {23,32}, {14,51}, {19,39}, {19,43}, {7,55}, {18,52}, {8,43}, {3,56}, {16,38}, {11,45}, {20,28}, {20,53}, {12,36}, {19,25}, {4,42}, {5,29}, {16,50}, {12,53}, {14,30}, {3,28}, {21,34}, {12,33}, {8,33}, {5,47}, {6,54}, {20,27}, {18,49}, {15,47}, {14,49}, {7,51}, {20,33}, {19,35}, {5,51}, {24,52}, {11,41}, {7,25}, {9,50}, {15,42}, {22,51}, {7,42}, {2,50}, {23,49}, {10,53}, {21,29}, {12,34}, {8,44}, {21,48}, {18,53}, {5,49}, {1,56}, {13,54}, {7,26}, {23,33}, {11,28}, {8,55}, {10,34}, {17,53}, {3,40}, {17,27}, {8,35}, {8,54}, {17,45}, {9,45}, {4,26}, {16,54}, {22,46}, {17,37}, {16,39}, {13,28}, {1,28}, {20,56}, {23,25}, {16,52}, {3,27}, {2,38}, {12,32}, {15,36}, {22,35}, {21,36}, {15,31}, {6,53}, {7,44}, {8,28}, {7,43}, {18,40}, {19,51}, {24,42}, {20,40}, {5,25}, {15,26}, {4,52}, {22,36}, {22,47}, {1,46}, {3,37}, {8,39}, {9,42}, {23,41}, {9,34}, {24,33}, {15,43}, {13,46}, {4,39}, {12,35}, {23,26}, {17,43}, {14,48}, {21,26}, {16,32}, {4,48}, {6,33}, {2,32}, {12,51}, {17,49}, {18,48}, {11,26}, {9,48}, {15,25}, {5,33}, {18,37}, {4,56}, {4,54}, {5,30}, {11,38}, {6,40} }; // ETB56.143 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 51539607552 EdgesBipt[56][143]:={ {24,34}, {6,52}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {11,49}, {9,32}, {23,29}, {11,25}, {4,28}, {5,43}, {2,55}, {5,45}, {8,26}, {1,49}, {17,42}, {13,39}, {11,43}, {15,54}, {14,50}, {4,31}, {8,40}, {3,35}, {20,46}, {15,27}, {24,54}, {21,41}, {14,56}, {2,49}, {10,39}, {14,45}, {6,48}, {16,37}, {19,37}, {20,37}, {16,28}, {7,30}, {15,41}, {4,37}, {4,40}, {13,43}, {13,27}, {14,29}, {10,48}, {14,44}, {2,33}, {17,35}, {6,32}, {24,56}, {4,38}, {11,29}, {11,27}, {10,47}, {19,40}, {20,38}, {2,34}, {20,26}, {22,55}, {22,37}, {18,32}, {1,52}, {16,48}, {23,45}, {8,30}, {16,49}, {23,38}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {23,54}, {12,42}, {6,39}, {23,36}, {7,33}, {12,31}, {3,52}, {12,40}, {17,26}, {2,48}, {15,30}, {20,39}, {24,50}, {24,47}, {21,50}, {13,55}, {24,31}, {24,45}, {23,43}, {9,35}, {1,36}, {23,42}, {12,37}, {2,56}, {7,56}, {10,35}, {18,39}, {24,26}, {8,38}, {20,55}, {9,47}, {4,49}, {5,50}, {2,29}, {5,34}, {18,47}, {14,32}, {13,41}, {16,40}, {20,42}, {10,51}, {22,34}, {24,37}, {9,36}, {6,34}, {1,43}, {9,29}, {8,42}, {18,26}, {18,36}, {3,38}, {5,27}, {19,46}, {3,43}, {2,39}, {24,40}, {3,47}, {19,56}, {3,31}, {3,51}, {18,55}, {1,39}, {13,49}, {7,37}, {6,27}, {7,53}, {11,42}, {5,35}, {14,34}, {3,36}, {19,49}, {17,29}, {4,32}, {2,44}, {1,30}, {21,45}, {8,56}, {14,28}, {12,56}, {12,47}, {6,36}, {23,40}, {1,55}, {24,53}, {4,53}, {11,36}, {3,30}, {13,48}, {9,51}, {22,48}, {21,47}, {14,33}, {15,37}, {10,46}, {11,33}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {19,30}, {10,55}, {18,38}, {7,46}, {11,52}, {13,36}, {1,41}, {18,54}, {20,54}, {4,47}, {3,25}, {17,55}, {7,35}, {19,45}, {16,56}, {22,30}, {4,33}, {22,44}, {10,31}, {9,31}, {10,44}, {15,52}, {17,46}, {15,53}, {1,25}, {22,31}, {22,50}, {23,56}, {20,30}, {5,39}, {24,38}, {8,53}, {7,28}, {20,44}, {19,41}, {9,25}, {15,46}, {17,30}, {10,30}, {12,45}, {15,35}, {12,29}, {6,31}, {22,53}, {9,52}, {21,32}, {11,54}, {1,44}, {23,27}, {24,35}, {19,53}, {18,31}, {19,44}, {14,40}, {1,48}, {7,49}, {9,41}, {16,31}, {3,41}, {4,36}, {1,32}, {24,29}, {19,29}, {6,43}, {22,39}, {24,51}, {10,28}, {17,25}, {16,44}, {4,44}, {21,49}, {7,40}, {12,50}, {17,41}, {2,26}, {3,53}, {17,50}, {14,55}, {7,29}, {11,56}, {2,28}, {21,52}, {13,44}, {8,27}, {2,45}, {23,52}, {5,46}, {6,47}, {16,36}, {13,32}, {14,26}, {10,50}, {19,33}, {16,53}, {18,52}, {8,43}, {16,38}, {11,45}, {18,27}, {1,33}, {20,28}, {21,33}, {3,54}, {20,53}, {5,26}, {19,25}, {5,29}, {12,53}, {21,34}, {17,34}, {6,54}, {20,27}, {21,35}, {15,47}, {14,49}, {7,51}, {19,35}, {5,51}, {11,41}, {7,25}, {9,50}, {6,26}, {22,51}, {2,50}, {23,49}, {10,53}, {21,29}, {12,34}, {8,44}, {6,42}, {21,48}, {21,51}, {13,33}, {18,43}, {15,51}, {23,33}, {8,55}, {5,55}, {14,42}, {10,34}, {16,33}, {17,27}, {2,40}, {8,54}, {17,45}, {9,45}, {18,50}, {16,54}, {22,46}, {13,28}, {1,28}, {20,56}, {23,25}, {16,52}, {3,27}, {5,42}, {15,36}, {22,35}, {21,36}, {15,31}, {6,55}, {7,44}, {8,28}, {9,49}, {19,51}, {24,42}, {20,40}, {1,27}, {5,25}, {12,54}, {4,52}, {22,47}, {1,46}, {3,37}, {8,39}, {22,32}, {23,41}, {9,34}, {15,43}, {13,46}, {10,32}, {12,35}, {23,26}, {13,52}, {17,43}, {6,50}, {14,48}, {22,28}, {2,42}, {18,42}, {16,32}, {4,48}, {2,32}, {18,34}, {12,51}, {18,48}, {11,26}, {3,46}, {9,48}, {15,25}, {4,56}, {4,54}, {5,30}, {11,38} }; // ETB56.144 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 94371840 EdgesBipt[56][144]:={ {15,33}, {6,52}, {19,28}, {10,37}, {16,47}, {14,36}, {5,38}, {23,29}, {5,56}, {16,51}, {19,26}, {11,25}, {4,28}, {2,55}, {8,51}, {5,45}, {22,40}, {13,37}, {1,40}, {14,38}, {15,54}, {14,50}, {2,35}, {17,33}, {4,31}, {20,46}, {21,30}, {14,31}, {16,55}, {24,54}, {24,36}, {14,56}, {2,49}, {21,54}, {17,56}, {6,48}, {19,37}, {20,37}, {16,28}, {21,28}, {5,32}, {4,51}, {1,35}, {15,41}, {20,52}, {13,43}, {13,27}, {10,48}, {24,28}, {13,40}, {14,44}, {6,32}, {11,35}, {11,29}, {10,56}, {10,42}, {6,29}, {11,27}, {10,47}, {20,38}, {22,55}, {12,28}, {22,37}, {4,43}, {21,40}, {16,42}, {16,48}, {18,32}, {15,32}, {23,38}, {12,46}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {24,46}, {8,52}, {23,31}, {12,26}, {13,30}, {7,27}, {23,36}, {11,39}, {6,49}, {22,42}, {12,31}, {3,52}, {23,28}, {17,26}, {13,47}, {2,48}, {20,39}, {5,37}, {18,35}, {9,56}, {24,31}, {24,45}, {13,42}, {20,35}, {1,29}, {16,34}, {2,56}, {16,43}, {7,56}, {15,45}, {24,26}, {8,38}, {9,47}, {12,52}, {5,50}, {17,36}, {1,38}, {2,36}, {20,36}, {20,42}, {10,51}, {18,29}, {1,43}, {9,29}, {12,49}, {8,42}, {18,33}, {18,36}, {6,51}, {22,43}, {19,46}, {15,28}, {21,55}, {24,41}, {20,41}, {2,39}, {14,35}, {3,47}, {1,42}, {19,56}, {19,38}, {19,47}, {7,37}, {7,53}, {2,30}, {22,49}, {2,44}, {1,30}, {21,45}, {19,27}, {8,50}, {6,36}, {23,39}, {18,51}, {24,53}, {4,53}, {16,29}, {11,36}, {13,48}, {1,47}, {22,48}, {21,47}, {2,51}, {15,37}, {20,51}, {15,34}, {11,33}, {22,56}, {9,55}, {13,25}, {21,25}, {14,39}, {21,31}, {10,55}, {4,41}, {8,41}, {24,55}, {9,26}, {7,46}, {3,29}, {12,55}, {9,54}, {12,41}, {18,54}, {4,47}, {24,39}, {3,25}, {11,34}, {19,45}, {11,46}, {2,43}, {5,52}, {2,27}, {6,30}, {22,44}, {7,34}, {9,31}, {10,44}, {15,52}, {17,46}, {15,53}, {13,56}, {1,25}, {22,50}, {13,50}, {23,35}, {9,30}, {8,53}, {19,55}, {3,32}, {14,27}, {22,45}, {16,41}, {7,28}, {20,44}, {17,44}, {13,29}, {8,34}, {9,25}, {15,46}, {17,30}, {5,40}, {12,45}, {4,34}, {17,38}, {6,31}, {11,32}, {17,52}, {22,53}, {15,40}, {3,42}, {14,43}, {10,52}, {13,38}, {23,27}, {10,54}, {19,53}, {18,31}, {19,44}, {1,48}, {16,31}, {7,39}, {3,41}, {23,34}, {4,29}, {1,32}, {22,52}, {8,32}, {24,51}, {17,25}, {19,34}, {21,49}, {20,32}, {2,26}, {3,53}, {17,50}, {18,41}, {10,40}, {14,55}, {18,30}, {8,36}, {24,49}, {5,46}, {4,55}, {3,33}, {13,32}, {14,26}, {10,50}, {20,50}, {23,32}, {14,51}, {11,30}, {19,39}, {9,28}, {3,34}, {16,53}, {4,27}, {19,43}, {7,55}, {15,29}, {18,52}, {8,43}, {2,31}, {21,33}, {3,54}, {20,53}, {12,36}, {16,27}, {3,45}, {12,44}, {5,26}, {19,25}, {7,47}, {4,42}, {12,53}, {14,30}, {3,28}, {12,33}, {12,39}, {6,54}, {18,49}, {15,47}, {14,49}, {11,31}, {13,34}, {24,52}, {11,41}, {7,25}, {15,42}, {1,34}, {22,51}, {13,35}, {2,50}, {21,27}, {6,41}, {10,53}, {21,29}, {17,40}, {24,44}, {8,44}, {23,30}, {6,42}, {4,35}, {21,48}, {23,46}, {5,49}, {1,56}, {20,34}, {7,26}, {1,50}, {23,33}, {11,28}, {16,35}, {3,40}, {8,35}, {10,45}, {21,56}, {17,45}, {9,45}, {18,50}, {16,54}, {17,37}, {16,39}, {23,25}, {9,27}, {7,38}, {2,38}, {10,43}, {7,44}, {9,49}, {7,43}, {18,40}, {9,40}, {1,27}, {5,44}, {22,54}, {5,25}, {12,54}, {22,47}, {3,37}, {8,39}, {23,41}, {5,36}, {24,33}, {4,39}, {6,35}, {17,32}, {23,26}, {6,50}, {14,48}, {21,26}, {1,37}, {18,42}, {4,48}, {6,33}, {12,51}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {15,25}, {5,33}, {5,30}, {4,54}, {11,38}, {10,49}, {6,40} }; // ETB56.145 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 603979776 EdgesBipt[56][145]:={ {24,34}, {15,33}, {6,52}, {11,40}, {16,47}, {11,49}, {9,32}, {19,26}, {11,25}, {8,51}, {3,26}, {22,40}, {1,49}, {14,38}, {13,39}, {15,44}, {4,31}, {3,35}, {20,46}, {14,31}, {16,55}, {24,54}, {24,36}, {21,54}, {17,56}, {10,39}, {19,37}, {15,56}, {16,28}, {21,28}, {5,32}, {4,51}, {7,30}, {15,41}, {13,43}, {13,27}, {24,28}, {13,40}, {17,35}, {4,38}, {11,35}, {11,29}, {10,56}, {10,42}, {6,29}, {10,47}, {19,40}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {4,43}, {21,40}, {1,52}, {18,32}, {15,32}, {2,52}, {8,30}, {16,49}, {23,38}, {12,46}, {9,33}, {20,43}, {7,45}, {8,46}, {8,37}, {24,46}, {21,38}, {20,49}, {23,31}, {23,54}, {6,39}, {11,39}, {6,49}, {10,26}, {12,31}, {3,52}, {12,40}, {24,30}, {2,48}, {15,30}, {20,39}, {22,25}, {5,37}, {24,50}, {24,47}, {13,55}, {18,35}, {16,25}, {24,31}, {23,43}, {9,35}, {1,36}, {19,42}, {16,34}, {6,46}, {7,56}, {6,44}, {18,39}, {20,55}, {17,47}, {5,50}, {17,36}, {2,29}, {5,34}, {18,46}, {2,36}, {20,42}, {24,37}, {1,43}, {9,29}, {11,51}, {12,49}, {7,54}, {18,36}, {22,43}, {3,43}, {15,28}, {5,28}, {14,46}, {14,35}, {19,56}, {1,31}, {12,27}, {19,47}, {3,51}, {18,55}, {1,39}, {11,42}, {5,53}, {5,35}, {15,50}, {3,36}, {19,49}, {17,29}, {14,54}, {22,49}, {19,27}, {8,50}, {12,56}, {12,47}, {6,36}, {23,40}, {1,55}, {18,51}, {24,53}, {16,29}, {3,30}, {13,48}, {9,51}, {1,47}, {21,47}, {10,36}, {14,33}, {15,37}, {15,34}, {10,46}, {11,33}, {22,56}, {17,51}, {21,31}, {11,48}, {10,55}, {8,41}, {9,38}, {18,38}, {7,46}, {8,45}, {17,31}, {13,36}, {1,41}, {4,45}, {12,55}, {22,29}, {9,54}, {18,54}, {20,54}, {4,47}, {13,45}, {23,48}, {17,28}, {21,42}, {7,35}, {19,45}, {22,30}, {12,30}, {6,30}, {7,50}, {7,34}, {10,31}, {18,25}, {15,53}, {23,51}, {13,56}, {1,25}, {13,50}, {23,56}, {23,35}, {20,30}, {5,39}, {24,38}, {8,53}, {3,32}, {18,44}, {22,45}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {15,46}, {10,30}, {23,47}, {10,25}, {11,32}, {17,52}, {21,32}, {15,40}, {3,42}, {10,52}, {19,50}, {14,37}, {15,49}, {23,27}, {19,53}, {1,48}, {24,43}, {16,31}, {16,45}, {23,34}, {4,36}, {22,41}, {4,29}, {9,44}, {1,32}, {22,52}, {19,29}, {6,37}, {24,27}, {5,31}, {17,25}, {20,48}, {19,34}, {16,44}, {2,54}, {21,49}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {3,53}, {18,41}, {10,40}, {7,29}, {11,56}, {14,47}, {18,30}, {8,29}, {21,52}, {22,38}, {13,44}, {8,27}, {2,45}, {4,55}, {3,48}, {13,32}, {14,26}, {10,50}, {20,50}, {23,32}, {14,51}, {19,33}, {9,28}, {4,27}, {19,43}, {18,28}, {18,52}, {8,43}, {3,56}, {16,38}, {11,45}, {1,33}, {21,33}, {2,53}, {12,44}, {5,26}, {2,37}, {4,42}, {16,50}, {10,41}, {14,30}, {12,33}, {12,39}, {5,47}, {20,27}, {7,51}, {14,49}, {22,33}, {20,33}, {21,44}, {15,48}, {1,53}, {5,51}, {13,34}, {24,52}, {11,41}, {6,26}, {22,27}, {7,42}, {2,50}, {17,40}, {24,44}, {6,28}, {6,42}, {4,35}, {21,48}, {14,25}, {20,34}, {7,26}, {8,55}, {5,55}, {14,42}, {10,34}, {16,33}, {17,53}, {3,40}, {8,35}, {21,56}, {17,45}, {9,45}, {14,41}, {4,26}, {16,54}, {22,46}, {16,39}, {17,37}, {13,28}, {23,25}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {23,50}, {21,36}, {6,55}, {6,53}, {7,44}, {9,49}, {11,55}, {1,27}, {5,44}, {22,54}, {9,53}, {4,52}, {22,36}, {9,43}, {14,53}, {3,37}, {8,39}, {23,41}, {4,39}, {12,35}, {13,52}, {21,26}, {1,37}, {8,25}, {2,42}, {6,33}, {2,32}, {12,51}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {15,25}, {4,54}, {9,37} }; // ETB56.146 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 603979776 EdgesBipt[56][146]:={ {15,33}, {6,52}, {6,38}, {19,28}, {10,37}, {16,47}, {15,38}, {14,36}, {11,49}, {9,32}, {23,29}, {5,56}, {11,25}, {5,43}, {5,45}, {3,26}, {8,26}, {22,40}, {13,37}, {15,44}, {11,43}, {15,54}, {14,50}, {17,33}, {21,30}, {15,27}, {16,55}, {24,32}, {24,54}, {21,41}, {24,36}, {11,53}, {14,56}, {21,54}, {17,56}, {10,39}, {14,45}, {6,48}, {19,37}, {16,28}, {21,28}, {1,35}, {8,31}, {4,40}, {4,37}, {20,52}, {24,48}, {14,29}, {23,44}, {6,32}, {17,35}, {24,56}, {11,29}, {10,42}, {11,27}, {19,40}, {20,38}, {2,34}, {22,37}, {4,43}, {2,52}, {23,45}, {4,30}, {23,38}, {12,46}, {7,45}, {8,37}, {17,39}, {8,52}, {21,38}, {12,38}, {23,54}, {7,27}, {6,39}, {23,36}, {11,39}, {10,26}, {7,33}, {3,52}, {12,40}, {19,48}, {20,29}, {23,28}, {2,48}, {15,30}, {20,39}, {22,25}, {5,37}, {19,52}, {24,47}, {21,50}, {18,35}, {9,56}, {24,31}, {13,42}, {20,35}, {9,35}, {23,42}, {16,34}, {13,51}, {6,46}, {16,43}, {10,35}, {18,39}, {20,55}, {13,26}, {9,47}, {4,49}, {2,29}, {18,47}, {18,46}, {14,32}, {2,36}, {8,49}, {13,41}, {20,36}, {16,40}, {10,51}, {22,34}, {1,43}, {8,42}, {18,26}, {7,54}, {18,33}, {6,51}, {3,38}, {5,27}, {19,46}, {15,28}, {18,56}, {21,55}, {24,41}, {20,41}, {24,40}, {3,47}, {19,56}, {1,31}, {3,31}, {12,27}, {18,55}, {1,39}, {13,49}, {6,27}, {5,53}, {5,35}, {14,34}, {3,36}, {17,29}, {8,48}, {20,25}, {4,32}, {22,49}, {2,44}, {12,56}, {6,36}, {23,40}, {1,55}, {18,51}, {4,53}, {11,36}, {3,30}, {13,48}, {9,51}, {1,47}, {15,37}, {20,51}, {10,46}, {11,33}, {22,56}, {13,25}, {21,25}, {17,51}, {14,39}, {19,30}, {10,55}, {8,47}, {9,38}, {9,26}, {11,52}, {1,41}, {1,51}, {13,53}, {22,29}, {9,54}, {12,41}, {20,54}, {13,45}, {20,31}, {3,25}, {17,55}, {17,28}, {11,46}, {16,56}, {2,43}, {5,52}, {2,27}, {12,30}, {6,30}, {7,50}, {4,33}, {22,44}, {7,34}, {9,31}, {10,44}, {10,29}, {18,25}, {24,25}, {15,53}, {1,25}, {22,31}, {22,50}, {23,56}, {24,38}, {8,53}, {22,45}, {20,44}, {17,44}, {19,41}, {13,29}, {14,52}, {15,46}, {10,30}, {5,40}, {20,47}, {4,50}, {16,30}, {12,45}, {4,34}, {15,35}, {12,29}, {22,53}, {21,32}, {12,25}, {3,42}, {13,38}, {15,49}, {19,53}, {18,31}, {19,44}, {14,40}, {1,48}, {7,49}, {24,43}, {16,31}, {7,39}, {3,41}, {22,41}, {1,32}, {9,44}, {21,39}, {6,43}, {8,32}, {24,27}, {10,28}, {5,31}, {16,44}, {2,54}, {21,49}, {12,50}, {12,43}, {3,53}, {18,41}, {14,55}, {7,29}, {18,30}, {2,28}, {8,36}, {24,49}, {2,45}, {21,46}, {23,52}, {16,36}, {13,32}, {14,26}, {10,50}, {11,30}, {3,50}, {9,28}, {3,34}, {4,27}, {7,55}, {16,46}, {4,46}, {11,45}, {20,28}, {21,33}, {3,54}, {16,27}, {2,53}, {5,26}, {19,25}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {21,34}, {7,31}, {8,33}, {5,47}, {6,54}, {18,49}, {15,47}, {22,33}, {21,44}, {1,53}, {19,35}, {5,51}, {24,52}, {11,41}, {9,50}, {6,26}, {1,34}, {13,35}, {7,42}, {2,50}, {23,49}, {10,53}, {17,40}, {12,34}, {8,44}, {19,36}, {23,30}, {6,42}, {21,48}, {19,32}, {13,33}, {15,51}, {23,46}, {14,25}, {13,54}, {7,26}, {20,45}, {1,50}, {11,37}, {23,33}, {8,55}, {14,42}, {10,34}, {17,27}, {10,45}, {17,45}, {14,41}, {4,26}, {16,39}, {16,52}, {7,38}, {5,42}, {2,38}, {15,31}, {6,55}, {8,28}, {7,43}, {18,40}, {9,40}, {11,55}, {19,51}, {1,27}, {12,54}, {22,47}, {3,37}, {8,39}, {9,42}, {5,36}, {9,34}, {24,33}, {15,43}, {12,35}, {6,35}, {17,32}, {23,26}, {17,43}, {14,48}, {22,28}, {1,37}, {18,42}, {4,48}, {2,32}, {12,51}, {17,49}, {3,46}, {9,48}, {17,48}, {4,56} }; // ETB56.147 // Bipartite(24,32) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 50331648 EdgesBipt[56][147]:={ {24,34}, {19,28}, {16,47}, {11,49}, {5,38}, {5,56}, {16,51}, {19,26}, {11,25}, {5,43}, {2,55}, {8,26}, {1,49}, {13,37}, {1,40}, {13,39}, {11,43}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {15,27}, {21,41}, {11,53}, {21,54}, {17,56}, {10,39}, {6,48}, {19,37}, {15,56}, {20,37}, {16,28}, {5,32}, {1,35}, {4,37}, {20,52}, {23,44}, {14,44}, {6,32}, {24,56}, {11,35}, {6,29}, {11,27}, {10,47}, {19,40}, {2,34}, {20,26}, {22,55}, {12,48}, {4,43}, {21,40}, {16,42}, {18,32}, {15,32}, {2,52}, {4,30}, {8,30}, {16,49}, {23,38}, {7,45}, {8,46}, {5,41}, {8,52}, {21,38}, {12,38}, {23,31}, {12,26}, {23,54}, {12,42}, {6,39}, {23,36}, {11,39}, {6,49}, {22,42}, {12,40}, {19,48}, {23,28}, {13,47}, {20,39}, {24,50}, {24,47}, {13,55}, {18,35}, {24,31}, {24,45}, {13,42}, {1,29}, {19,42}, {13,51}, {15,45}, {7,56}, {8,38}, {20,55}, {13,26}, {17,47}, {9,47}, {12,52}, {5,50}, {17,36}, {2,29}, {5,34}, {1,38}, {18,46}, {2,36}, {8,49}, {20,36}, {16,40}, {20,42}, {24,37}, {9,36}, {1,43}, {9,29}, {9,39}, {11,51}, {8,42}, {18,26}, {7,54}, {5,54}, {18,33}, {6,51}, {22,43}, {5,27}, {19,46}, {18,56}, {24,41}, {14,46}, {2,39}, {24,40}, {14,35}, {3,47}, {19,56}, {1,31}, {3,31}, {12,27}, {3,51}, {13,49}, {6,27}, {15,50}, {8,48}, {4,32}, {22,49}, {2,44}, {14,28}, {12,56}, {23,39}, {18,51}, {24,53}, {4,53}, {16,29}, {3,30}, {1,47}, {22,48}, {22,26}, {10,36}, {14,33}, {15,37}, {10,38}, {15,34}, {11,33}, {9,55}, {21,25}, {14,39}, {11,48}, {19,30}, {10,55}, {4,41}, {17,54}, {18,38}, {17,31}, {1,41}, {1,51}, {13,53}, {22,29}, {18,54}, {3,44}, {13,45}, {3,25}, {17,28}, {11,46}, {16,56}, {5,52}, {7,50}, {7,34}, {10,31}, {9,31}, {10,29}, {24,25}, {17,46}, {15,53}, {1,25}, {20,30}, {13,31}, {18,44}, {22,45}, {7,28}, {6,45}, {20,44}, {17,44}, {13,29}, {9,25}, {17,30}, {5,40}, {4,50}, {23,47}, {12,45}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {11,32}, {17,52}, {9,52}, {21,32}, {16,26}, {15,40}, {10,52}, {19,50}, {14,37}, {24,35}, {10,54}, {19,53}, {19,44}, {24,43}, {9,41}, {16,31}, {16,45}, {3,41}, {4,36}, {1,54}, {22,52}, {24,29}, {7,52}, {6,43}, {6,37}, {8,32}, {22,39}, {24,27}, {24,51}, {17,25}, {20,48}, {19,34}, {16,44}, {21,49}, {7,40}, {12,50}, {17,41}, {12,43}, {20,32}, {2,26}, {3,53}, {17,50}, {14,55}, {7,29}, {14,47}, {18,30}, {2,28}, {22,38}, {8,36}, {13,44}, {2,45}, {21,46}, {23,52}, {5,46}, {4,55}, {1,45}, {20,50}, {14,51}, {11,30}, {3,50}, {3,34}, {4,27}, {18,28}, {15,29}, {4,46}, {3,56}, {2,31}, {16,38}, {1,33}, {20,28}, {21,33}, {20,53}, {12,36}, {2,53}, {7,47}, {2,37}, {10,41}, {4,25}, {23,55}, {14,30}, {3,28}, {7,31}, {8,33}, {17,34}, {21,35}, {18,49}, {14,49}, {22,33}, {15,48}, {19,35}, {11,41}, {9,50}, {6,26}, {15,42}, {22,27}, {13,35}, {21,43}, {7,42}, {2,50}, {21,27}, {23,49}, {17,40}, {12,34}, {8,44}, {23,30}, {6,42}, {21,48}, {21,51}, {19,32}, {13,33}, {15,51}, {23,46}, {14,25}, {1,56}, {20,34}, {7,26}, {11,37}, {23,33}, {2,47}, {16,35}, {8,55}, {10,27}, {16,33}, {3,40}, {10,45}, {8,54}, {21,56}, {9,45}, {14,41}, {16,54}, {13,28}, {23,25}, {9,27}, {7,38}, {12,32}, {10,43}, {6,55}, {6,53}, {7,44}, {8,28}, {18,40}, {11,55}, {19,51}, {1,27}, {22,54}, {5,25}, {12,54}, {9,53}, {15,26}, {4,52}, {22,36}, {9,43}, {14,53}, {3,37}, {8,39}, {22,32}, {23,41}, {5,36}, {9,34}, {15,43}, {4,39}, {7,36}, {6,35}, {2,42}, {18,42}, {4,48}, {6,33}, {18,48}, {3,46}, {5,48}, {5,30}, {10,49}, {9,37} }; // ETB56.148 // Bipartite(28,28) Valencies [16,16] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 7068001961384645492736 EdgesBipt[56][148]:={ {24,34}, {15,33}, {6,52}, {7,48}, {6,38}, {16,47}, {5,38}, {16,51}, {25,37}, {5,43}, {2,55}, {5,45}, {22,40}, {1,49}, {13,37}, {1,40}, {14,38}, {13,39}, {17,42}, {11,43}, {15,54}, {2,35}, {8,40}, {26,43}, {3,35}, {20,46}, {14,31}, {16,55}, {21,41}, {24,36}, {11,53}, {2,49}, {21,54}, {17,56}, {26,37}, {14,45}, {16,37}, {19,37}, {15,56}, {20,37}, {1,35}, {4,51}, {28,52}, {4,37}, {20,52}, {6,56}, {24,48}, {10,48}, {23,44}, {27,56}, {2,33}, {17,35}, {6,32}, {24,56}, {3,49}, {21,53}, {11,29}, {10,56}, {10,42}, {19,40}, {20,38}, {2,34}, {19,31}, {26,38}, {4,43}, {21,40}, {16,42}, {16,48}, {18,32}, {15,32}, {4,30}, {16,49}, {9,33}, {7,45}, {8,46}, {28,31}, {21,38}, {12,38}, {7,41}, {20,49}, {13,30}, {23,54}, {6,39}, {25,34}, {11,39}, {6,49}, {26,29}, {22,42}, {7,33}, {12,31}, {3,52}, {12,40}, {2,48}, {20,39}, {5,37}, {19,52}, {27,32}, {24,50}, {9,56}, {24,31}, {24,45}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {23,42}, {12,37}, {13,51}, {16,34}, {2,56}, {6,46}, {10,35}, {6,44}, {18,39}, {26,52}, {27,53}, {9,47}, {12,52}, {5,50}, {17,36}, {18,46}, {14,32}, {8,49}, {16,40}, {20,42}, {26,36}, {27,30}, {18,29}, {1,43}, {11,51}, {8,42}, {7,54}, {5,54}, {18,36}, {6,51}, {22,43}, {3,38}, {3,43}, {21,55}, {24,41}, {14,46}, {27,45}, {27,39}, {1,42}, {28,40}, {7,32}, {19,38}, {3,31}, {19,47}, {18,55}, {1,39}, {13,49}, {28,53}, {7,53}, {2,30}, {14,34}, {15,50}, {3,36}, {25,29}, {17,29}, {14,54}, {4,32}, {25,44}, {22,49}, {2,44}, {21,45}, {8,56}, {8,50}, {12,47}, {23,40}, {18,51}, {4,53}, {11,36}, {3,55}, {9,51}, {27,52}, {1,47}, {21,47}, {26,51}, {10,36}, {14,33}, {2,51}, {20,51}, {10,38}, {22,56}, {9,55}, {14,39}, {21,31}, {11,48}, {19,30}, {10,55}, {8,47}, {4,41}, {27,37}, {24,55}, {28,48}, {7,46}, {28,34}, {3,29}, {17,31}, {26,44}, {13,53}, {22,29}, {25,32}, {9,54}, {26,54}, {11,44}, {13,45}, {20,31}, {23,48}, {11,34}, {17,55}, {19,45}, {11,46}, {16,56}, {25,30}, {5,52}, {12,30}, {6,30}, {7,34}, {10,31}, {25,41}, {10,29}, {15,53}, {23,51}, {13,56}, {25,46}, {22,50}, {23,56}, {23,35}, {20,30}, {13,31}, {9,30}, {24,38}, {8,53}, {18,44}, {16,41}, {6,45}, {20,44}, {14,52}, {15,46}, {5,40}, {4,50}, {23,47}, {16,30}, {12,45}, {26,47}, {4,34}, {17,38}, {15,35}, {12,29}, {25,53}, {26,31}, {28,45}, {6,31}, {11,32}, {17,52}, {22,53}, {27,51}, {21,32}, {15,40}, {3,42}, {10,52}, {19,50}, {27,35}, {13,38}, {15,49}, {24,35}, {19,44}, {14,40}, {24,43}, {9,41}, {7,39}, {3,41}, {23,34}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {1,54}, {25,50}, {24,29}, {21,39}, {7,52}, {19,29}, {28,32}, {6,37}, {8,32}, {22,39}, {5,31}, {16,44}, {4,44}, {2,54}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {20,32}, {17,50}, {18,41}, {14,55}, {27,46}, {23,37}, {26,30}, {14,47}, {18,30}, {8,29}, {21,52}, {28,39}, {8,36}, {13,44}, {24,49}, {21,46}, {4,55}, {3,48}, {25,43}, {13,32}, {10,50}, {27,49}, {11,30}, {3,50}, {19,33}, {3,34}, {19,43}, {7,55}, {15,29}, {4,46}, {25,36}, {8,43}, {25,39}, {3,56}, {1,33}, {21,33}, {20,53}, {12,36}, {3,45}, {12,44}, {7,47}, {2,37}, {5,29}, {10,41}, {23,55}, {21,34}, {7,31}, {12,33}, {8,33}, {5,47}, {28,54}, {17,34}, {28,33}, {15,47}, {22,33}, {1,53}, {28,55}, {26,50}, {5,51}, {24,52}, {11,41}, {15,42}, {13,35}, {23,49}, {19,36}, {23,30}, {6,42}, {27,44}, {21,48}, {18,43}, {18,53}, {1,56}, {20,45}, {1,50}, {11,37}, {23,33}, {2,47}, {16,35}, {10,34}, {16,33}, {8,35}, {10,45}, {2,40}, {8,54}, {17,45}, {14,41}, {18,50}, {16,54}, {22,46}, {20,56}, {28,38}, {7,38}, {15,36}, {22,35}, {10,43}, {6,53}, {27,42}, {9,49}, {9,40}, {11,55}, {19,51}, {24,42}, {26,40}, {5,44}, {22,54}, {12,54}, {22,36}, {22,47}, {26,33}, {14,53}, {1,46}, {27,31}, {8,39}, {22,32}, {9,42}, {23,41}, {25,55}, {5,36}, {9,34}, {15,43}, {13,46}, {4,39}, {25,48}, {6,35}, {11,50}, {28,41}, {13,52}, {17,43}, {14,48}, {2,42}, {4,48}, {26,45}, {18,34}, {12,51}, {17,49}, {18,48}, {9,48}, {19,54}, {17,48}, {5,33}, {18,37}, {28,47}, {5,30}, {10,49}, {28,46}, {9,37}, {25,51}, {27,38} }; // ETB56.149 // Bipartite(8,48) Valencies [18,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3466579854281932800000000 EdgesBipt[56][149]:={ {7,43}, {7,19}, {6,12}, {5,14}, {3,15}, {1,43}, {8,24}, {4,42}, {6,10}, {6,18}, {1,11}, {3,29}, {4,55}, {5,30}, {6,36}, {6,17}, {2,11}, {4,48}, {6,41}, {1,40}, {4,40}, {3,53}, {1,25}, {7,38}, {4,16}, {2,37}, {7,54}, {5,41}, {1,9}, {6,50}, {1,56}, {6,25}, {7,27}, {8,46}, {1,32}, {3,45}, {7,51}, {3,31}, {2,19}, {6,34}, {2,18}, {6,9}, {4,26}, {8,14}, {8,13}, {5,9}, {7,11}, {3,55}, {2,29}, {5,49}, {8,22}, {7,28}, {5,33}, {5,23}, {2,10}, {6,49}, {4,39}, {1,17}, {3,13}, {2,50}, {6,33}, {1,16}, {8,21}, {2,13}, {5,55}, {5,15}, {7,20}, {8,56}, {3,23}, {8,53}, {7,14}, {4,31}, {2,42}, {2,34}, {6,26}, {1,19}, {7,30}, {2,35}, {7,52}, {3,47}, {4,15}, {2,53}, {1,35}, {8,40}, {7,35}, {6,52}, {5,22}, {3,52}, {2,27}, {5,38}, {2,43}, {5,46}, {2,21}, {7,44}, {8,38}, {8,32}, {5,47}, {1,49}, {3,28}, {5,31}, {5,17}, {8,16}, {3,12}, {4,56}, {2,51}, {8,54}, {6,20}, {3,21}, {1,51}, {1,41}, {3,44}, {4,32}, {6,42}, {3,39}, {1,27}, {7,22}, {4,18}, {2,26}, {7,46}, {8,45}, {8,48}, {3,20}, {4,50}, {1,33}, {3,36}, {8,37}, {3,37}, {8,30}, {6,44}, {4,34}, {4,47}, {7,36}, {4,23}, {5,39}, {7,12}, {1,48}, {5,25}, {4,10}, {4,24}, {1,24}, {5,54}, {8,29}, {2,45}, {6,28} }; // ETB56.150 // Bipartite(14,42) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2156983020442091520000000 EdgesBipt[56][150]:={ {2,44}, {11,53}, {2,24}, {10,24}, {10,25}, {13,52}, {14,56}, {2,33}, {12,29}, {13,21}, {11,35}, {5,34}, {11,56}, {4,26}, {4,53}, {11,25}, {8,30}, {14,51}, {7,48}, {4,56}, {6,17}, {2,23}, {8,43}, {5,55}, {2,51}, {9,45}, {12,22}, {7,55}, {1,32}, {3,45}, {3,25}, {7,41}, {7,44}, {4,19}, {9,44}, {2,19}, {12,41}, {5,47}, {12,55}, {5,20}, {13,35}, {2,26}, {8,39}, {7,34}, {7,51}, {3,52}, {8,25}, {12,34}, {1,30}, {8,15}, {14,28}, {8,44}, {13,29}, {2,54}, {12,50}, {10,53}, {6,22}, {3,18}, {11,28}, {6,29}, {3,17}, {8,16}, {2,45}, {13,56}, {6,21}, {3,34}, {5,40}, {14,23}, {3,46}, {10,48}, {6,31}, {11,33}, {7,56}, {1,50}, {9,47}, {5,22}, {10,38}, {1,18}, {7,20}, {14,21}, {5,50}, {9,26}, {12,20}, {12,36}, {1,44}, {5,29}, {2,38}, {9,19}, {11,49}, {2,37}, {2,52}, {10,52}, {5,43}, {14,30}, {4,42}, {10,41}, {7,49}, {1,22}, {1,51}, {4,47}, {6,43}, {4,33}, {4,21}, {9,54}, {3,20}, {10,31}, {13,22}, {6,49}, {14,16}, {13,49}, {12,43}, {1,29}, {7,30}, {2,16}, {3,39}, {13,31}, {3,32}, {11,21}, {4,35}, {7,16}, {8,36}, {14,48}, {6,50}, {1,23}, {13,43}, {6,24}, {14,55}, {13,50}, {9,37}, {12,47}, {8,53}, {8,22}, {14,42}, {5,48}, {6,56}, {13,28}, {14,41}, {3,27}, {14,37}, {9,51}, {4,54}, {10,46}, {4,28}, {10,45}, {1,43}, {4,46}, {8,37}, {13,36}, {12,26}, {12,33}, {11,54}, {6,15}, {5,41}, {2,17}, {10,55}, {12,27}, {9,40}, {5,54}, {8,32}, {13,24}, {11,39}, {12,19}, {12,40}, {8,23}, {14,34}, {1,39}, {10,32}, {14,49}, {5,36}, {1,25}, {1,46}, {11,46}, {1,53}, {13,15}, {1,15}, {6,28}, {12,15}, {9,30}, {10,39}, {13,42}, {1,37}, {14,20}, {7,28}, {6,42}, {11,26}, {3,53}, {4,40}, {7,23}, {6,36}, {5,33}, {10,17}, {3,24}, {6,45}, {10,27}, {14,44}, {1,16}, {3,48}, {8,50}, {10,34}, {11,32}, {9,17}, {10,18}, {2,47}, {6,38}, {4,49}, {2,40}, {2,31}, {11,40}, {9,33}, {3,55}, {11,47}, {5,27}, {5,26}, {8,18}, {4,18}, {6,52}, {13,38}, {9,38}, {11,19}, {12,48}, {4,25}, {3,38}, {9,52}, {7,27}, {8,46}, {14,35}, {3,41}, {3,31}, {9,24}, {8,51}, {10,20}, {5,15}, {5,19}, {7,35}, {2,30}, {13,17}, {13,45}, {7,37}, {9,31}, {6,35}, {9,16}, {11,42}, {4,39}, {12,54}, {7,42}, {9,23}, {7,21}, {14,27}, {8,29}, {4,32}, {11,18}, {1,36} }; // ETB56.151 // Bipartite(14,42) Valencies [18,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4212857461800960000000 EdgesBipt[56][151]:={ {6,48}, {2,44}, {3,33}, {2,24}, {11,20}, {9,28}, {14,56}, {2,33}, {6,32}, {11,36}, {4,27}, {12,29}, {13,21}, {5,34}, {4,24}, {3,40}, {12,45}, {4,53}, {8,30}, {2,23}, {5,55}, {2,51}, {9,45}, {12,22}, {12,32}, {8,54}, {1,32}, {3,45}, {8,33}, {12,38}, {7,54}, {10,26}, {9,44}, {14,38}, {12,39}, {4,31}, {2,19}, {9,49}, {10,33}, {5,20}, {13,35}, {2,26}, {14,31}, {8,39}, {11,41}, {14,50}, {3,52}, {8,25}, {1,30}, {9,35}, {14,28}, {8,44}, {2,54}, {12,50}, {13,16}, {11,50}, {10,15}, {10,22}, {13,55}, {3,17}, {8,16}, {2,45}, {13,56}, {4,38}, {6,21}, {3,34}, {11,33}, {7,56}, {1,50}, {5,22}, {8,19}, {1,18}, {10,47}, {14,21}, {14,36}, {5,50}, {12,17}, {12,36}, {1,44}, {4,41}, {5,29}, {2,38}, {8,47}, {12,46}, {2,37}, {2,52}, {5,43}, {7,46}, {7,39}, {7,32}, {11,15}, {10,54}, {4,45}, {7,49}, {11,22}, {7,25}, {10,28}, {14,24}, {1,22}, {1,51}, {6,55}, {5,23}, {10,29}, {3,20}, {6,49}, {9,42}, {10,21}, {13,49}, {6,18}, {4,52}, {10,40}, {12,43}, {1,29}, {2,16}, {7,53}, {7,26}, {14,15}, {1,23}, {11,29}, {13,44}, {5,30}, {6,46}, {9,56}, {9,37}, {4,48}, {8,53}, {13,23}, {12,25}, {14,42}, {5,48}, {6,56}, {10,42}, {13,28}, {4,55}, {3,27}, {9,51}, {1,43}, {3,26}, {4,46}, {8,37}, {8,26}, {11,54}, {13,30}, {5,41}, {2,17}, {10,43}, {7,47}, {14,17}, {8,32}, {3,19}, {14,22}, {6,27}, {5,44}, {8,40}, {12,53}, {8,23}, {1,39}, {11,55}, {14,49}, {5,36}, {1,25}, {1,46}, {5,51}, {1,53}, {6,41}, {1,15}, {6,28}, {12,15}, {9,30}, {13,27}, {13,42}, {1,37}, {7,28}, {6,42}, {11,26}, {14,45}, {10,35}, {3,24}, {11,27}, {4,34}, {1,16}, {10,36}, {3,48}, {13,51}, {9,17}, {13,48}, {2,47}, {6,25}, {10,49}, {13,41}, {2,40}, {2,31}, {10,50}, {11,40}, {14,52}, {12,52}, {6,34}, {3,55}, {11,47}, {5,27}, {14,43}, {8,18}, {4,18}, {9,38}, {10,56}, {11,19}, {4,25}, {10,19}, {3,38}, {9,52}, {4,20}, {11,48}, {12,24}, {8,46}, {14,35}, {13,37}, {3,41}, {3,54}, {3,31}, {9,24}, {8,51}, {6,39}, {5,15}, {7,33}, {12,31}, {3,47}, {11,34}, {13,34}, {6,20}, {7,35}, {11,43}, {6,53}, {2,30}, {13,20}, {9,31}, {5,37}, {7,19}, {4,17}, {6,35}, {9,21}, {9,16}, {4,39}, {7,40}, {7,42}, {9,23}, {7,21}, {4,32}, {12,18}, {1,36}, {14,29}, {7,18}, {5,16} }; // ETB56.152 // Bipartite(14,42) Valencies [18,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 421285746180096 EdgesBipt[56][152]:={ {6,48}, {2,44}, {5,17}, {11,20}, {13,32}, {14,56}, {2,33}, {6,32}, {11,36}, {11,35}, {4,26}, {3,40}, {12,45}, {10,37}, {1,56}, {4,50}, {14,51}, {7,48}, {6,17}, {2,23}, {8,43}, {5,38}, {2,51}, {12,22}, {7,55}, {7,38}, {8,42}, {8,54}, {8,28}, {4,29}, {9,55}, {3,45}, {8,33}, {10,23}, {12,38}, {7,41}, {1,40}, {10,26}, {2,15}, {9,44}, {14,38}, {12,39}, {2,19}, {8,52}, {1,19}, {2,27}, {13,53}, {9,43}, {3,37}, {8,39}, {7,34}, {7,51}, {12,35}, {8,25}, {10,44}, {2,41}, {13,47}, {8,15}, {14,28}, {12,50}, {11,50}, {13,55}, {3,18}, {10,30}, {3,17}, {6,47}, {14,23}, {3,46}, {6,31}, {1,38}, {2,36}, {7,56}, {9,47}, {5,22}, {4,22}, {8,19}, {9,29}, {7,20}, {14,21}, {5,50}, {12,17}, {9,27}, {12,36}, {8,47}, {9,19}, {11,49}, {2,37}, {12,49}, {12,44}, {9,41}, {5,25}, {11,15}, {3,56}, {10,54}, {7,49}, {11,22}, {10,28}, {14,24}, {3,44}, {6,55}, {12,16}, {4,21}, {10,31}, {3,51}, {6,18}, {13,18}, {9,50}, {10,40}, {1,29}, {2,16}, {13,31}, {3,32}, {11,21}, {4,35}, {6,33}, {13,33}, {14,48}, {11,29}, {14,55}, {5,30}, {6,46}, {5,24}, {9,37}, {4,48}, {8,53}, {5,49}, {12,25}, {14,42}, {8,56}, {13,25}, {10,42}, {4,15}, {1,28}, {14,41}, {14,37}, {9,51}, {4,54}, {10,46}, {4,43}, {1,33}, {10,45}, {1,43}, {3,26}, {4,46}, {8,26}, {10,51}, {1,52}, {9,22}, {11,54}, {4,36}, {1,42}, {1,24}, {5,31}, {6,27}, {5,44}, {8,40}, {12,53}, {12,30}, {3,23}, {14,34}, {1,39}, {10,32}, {14,49}, {5,36}, {1,25}, {6,19}, {11,46}, {1,53}, {6,41}, {1,15}, {9,30}, {13,27}, {13,46}, {14,20}, {5,39}, {7,28}, {3,16}, {11,26}, {4,40}, {7,23}, {13,19}, {3,30}, {10,17}, {2,29}, {6,45}, {8,38}, {1,26}, {2,22}, {4,34}, {11,32}, {10,18}, {13,48}, {8,24}, {2,47}, {6,25}, {13,41}, {1,47}, {4,49}, {11,40}, {14,52}, {9,33}, {9,36}, {12,52}, {6,34}, {3,42}, {4,18}, {10,56}, {4,20}, {11,48}, {3,28}, {12,24}, {7,27}, {14,35}, {5,45}, {7,24}, {3,31}, {3,54}, {6,39}, {2,55}, {12,31}, {11,34}, {13,34}, {6,20}, {7,35}, {13,39}, {11,43}, {5,21}, {2,30}, {9,15}, {6,53}, {13,17}, {13,45}, {7,37}, {13,20}, {5,35}, {1,54}, {7,52}, {2,43}, {9,16}, {7,42}, {9,23}, {7,21}, {14,27}, {8,29}, {5,52}, {4,32}, {11,18}, {5,53}, {12,21}, {2,50}, {10,16}, {5,16} }; // ETB56.153 // Bipartite(14,42) Valencies [18,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6582589784064 EdgesBipt[56][153]:={ {6,48}, {8,48}, {3,33}, {5,17}, {1,20}, {13,52}, {9,28}, {6,32}, {11,36}, {4,27}, {7,15}, {11,35}, {5,34}, {4,24}, {14,19}, {3,22}, {2,56}, {4,16}, {10,37}, {4,30}, {4,56}, {14,39}, {8,42}, {8,28}, {4,29}, {9,55}, {3,45}, {8,33}, {10,23}, {12,38}, {7,44}, {1,40}, {7,54}, {10,26}, {5,56}, {4,19}, {12,39}, {12,41}, {2,27}, {13,53}, {12,55}, {5,20}, {9,43}, {2,26}, {11,41}, {12,35}, {14,50}, {2,41}, {13,47}, {2,28}, {8,31}, {2,54}, {11,50}, {2,42}, {10,22}, {3,18}, {6,29}, {3,17}, {2,45}, {13,56}, {4,38}, {6,47}, {6,21}, {2,25}, {11,38}, {3,46}, {10,48}, {1,38}, {14,33}, {2,36}, {8,19}, {9,29}, {9,32}, {14,21}, {14,36}, {9,26}, {9,27}, {5,29}, {4,41}, {8,47}, {11,49}, {12,49}, {5,43}, {12,44}, {7,46}, {8,45}, {11,51}, {14,30}, {4,42}, {5,25}, {9,41}, {2,39}, {7,32}, {10,54}, {7,49}, {11,22}, {2,53}, {7,43}, {1,51}, {3,44}, {4,47}, {6,43}, {4,33}, {12,16}, {9,54}, {10,31}, {13,22}, {6,49}, {9,42}, {10,21}, {14,16}, {6,18}, {14,53}, {4,52}, {10,40}, {1,29}, {7,30}, {8,17}, {3,32}, {11,21}, {7,16}, {7,26}, {6,33}, {13,33}, {14,48}, {1,23}, {11,23}, {6,24}, {5,30}, {13,50}, {14,47}, {7,17}, {6,46}, {9,56}, {9,37}, {13,23}, {12,25}, {5,48}, {8,56}, {13,25}, {13,28}, {4,55}, {4,15}, {3,50}, {3,27}, {9,51}, {4,28}, {4,43}, {10,45}, {1,43}, {8,37}, {5,28}, {13,36}, {10,51}, {5,42}, {1,52}, {12,26}, {7,31}, {6,15}, {2,17}, {12,27}, {9,40}, {11,52}, {8,32}, {3,19}, {1,24}, {14,22}, {5,31}, {11,24}, {13,24}, {5,44}, {12,40}, {12,53}, {12,30}, {8,23}, {14,34}, {1,39}, {11,55}, {14,49}, {1,25}, {6,19}, {11,46}, {1,53}, {7,29}, {1,15}, {13,42}, {1,37}, {14,20}, {5,39}, {14,25}, {3,16}, {10,35}, {13,19}, {3,30}, {8,34}, {9,18}, {10,17}, {11,37}, {11,27}, {1,26}, {2,22}, {14,44}, {10,36}, {10,34}, {13,51}, {11,32}, {10,49}, {6,38}, {2,40}, {2,31}, {10,50}, {12,52}, {6,34}, {3,55}, {8,18}, {6,52}, {13,38}, {8,20}, {12,24}, {7,45}, {8,46}, {14,35}, {13,37}, {5,45}, {3,41}, {1,48}, {3,31}, {9,46}, {8,51}, {10,20}, {2,55}, {5,15}, {3,47}, {6,20}, {7,35}, {13,39}, {9,15}, {1,54}, {1,34}, {6,35}, {3,36}, {12,54}, {7,40}, {4,44}, {9,23}, {7,21}, {11,18}, {5,53}, {12,21}, {2,50}, {7,18}, {5,16} }; // ETB56.154 // Bipartite(20,36) Valencies [18,10] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[56][154]:={ {13,21}, {7,48}, {11,40}, {10,37}, {16,47}, {15,38}, {14,36}, {11,49}, {9,32}, {6,25}, {5,38}, {5,56}, {16,51}, {19,26}, {5,43}, {2,55}, {8,26}, {1,49}, {13,37}, {1,40}, {16,22}, {14,38}, {13,39}, {15,54}, {2,35}, {17,33}, {4,31}, {20,46}, {10,33}, {8,21}, {14,31}, {15,27}, {1,21}, {14,45}, {16,37}, {3,39}, {15,56}, {20,37}, {16,28}, {5,32}, {20,52}, {14,29}, {16,21}, {13,40}, {14,44}, {3,49}, {11,35}, {11,29}, {10,56}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {12,28}, {19,31}, {4,24}, {4,43}, {16,42}, {18,32}, {2,52}, {8,30}, {12,46}, {7,45}, {20,24}, {5,41}, {17,39}, {8,52}, {7,41}, {20,49}, {12,26}, {19,22}, {6,49}, {12,31}, {19,48}, {20,29}, {13,47}, {15,30}, {12,23}, {20,39}, {18,35}, {13,42}, {1,36}, {19,42}, {13,51}, {7,56}, {10,35}, {4,23}, {20,55}, {17,47}, {9,47}, {2,29}, {18,46}, {14,32}, {13,41}, {8,49}, {8,22}, {18,29}, {6,34}, {9,39}, {8,42}, {18,26}, {4,22}, {18,36}, {6,51}, {3,38}, {5,27}, {18,56}, {14,46}, {20,41}, {14,35}, {3,47}, {1,42}, {12,24}, {1,31}, {19,47}, {3,51}, {11,22}, {18,55}, {1,39}, {13,49}, {7,37}, {11,42}, {5,53}, {5,35}, {15,50}, {3,36}, {19,23}, {4,21}, {14,54}, {1,30}, {19,27}, {6,36}, {18,51}, {4,53}, {11,36}, {3,30}, {3,55}, {9,51}, {2,24}, {10,36}, {10,38}, {15,34}, {10,46}, {11,33}, {9,55}, {13,25}, {11,48}, {8,24}, {4,41}, {9,26}, {17,54}, {7,46}, {11,52}, {12,55}, {1,51}, {9,54}, {12,41}, {3,44}, {17,28}, {7,35}, {19,45}, {2,43}, {5,52}, {12,30}, {6,30}, {7,50}, {7,34}, {10,31}, {10,29}, {15,52}, {13,22}, {15,53}, {13,56}, {1,25}, {13,50}, {20,30}, {5,39}, {8,53}, {3,32}, {14,27}, {16,41}, {6,45}, {17,44}, {9,25}, {17,30}, {10,22}, {10,30}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {17,38}, {6,31}, {11,32}, {17,52}, {9,52}, {16,26}, {11,54}, {12,25}, {15,40}, {14,43}, {19,50}, {1,44}, {15,49}, {18,31}, {19,44}, {1,48}, {9,41}, {16,45}, {7,39}, {15,39}, {4,29}, {9,44}, {6,37}, {8,32}, {17,22}, {17,25}, {16,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {14,55}, {18,21}, {10,21}, {11,56}, {2,28}, {8,29}, {8,36}, {8,27}, {2,45}, {5,46}, {3,48}, {3,33}, {16,36}, {14,26}, {9,28}, {4,27}, {19,43}, {7,55}, {16,46}, {5,24}, {15,29}, {11,47}, {2,22}, {1,33}, {20,28}, {3,54}, {20,53}, {3,45}, {12,44}, {19,25}, {7,47}, {2,37}, {4,42}, {12,53}, {4,25}, {14,30}, {3,28}, {7,31}, {8,33}, {12,39}, {5,47}, {6,54}, {17,34}, {15,55}, {18,49}, {7,51}, {20,33}, {15,48}, {1,53}, {14,24}, {19,35}, {13,34}, {9,50}, {6,26}, {2,50}, {17,24}, {17,40}, {12,34}, {8,44}, {19,36}, {6,28}, {16,23}, {4,35}, {13,33}, {18,53}, {1,56}, {20,34}, {11,37}, {2,47}, {1,23}, {16,35}, {10,24}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {10,45}, {17,27}, {8,54}, {6,21}, {17,45}, {18,50}, {4,26}, {13,28}, {20,56}, {16,24}, {7,38}, {5,42}, {2,38}, {15,31}, {6,55}, {8,28}, {9,49}, {7,43}, {19,51}, {1,27}, {5,44}, {17,23}, {10,23}, {9,53}, {4,52}, {9,43}, {14,53}, {1,46}, {3,37}, {9,42}, {15,43}, {11,50}, {13,52}, {17,43}, {6,50}, {14,48}, {20,21}, {8,25}, {18,42}, {16,32}, {2,32}, {12,21}, {12,51}, {18,48}, {3,46}, {9,48}, {19,54}, {5,48}, {15,25}, {5,33}, {18,37}, {4,56}, {11,38}, {6,40} }; // ETB56.155 // Bipartite(20,36) Valencies [18,10] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 7200 EdgesBipt[56][155]:={ {13,21}, {6,52}, {15,33}, {6,38}, {16,47}, {15,38}, {14,36}, {9,32}, {5,56}, {16,51}, {19,26}, {11,25}, {4,28}, {2,55}, {8,51}, {5,45}, {12,22}, {3,26}, {8,26}, {1,49}, {16,22}, {17,42}, {11,43}, {14,50}, {15,54}, {2,35}, {17,33}, {4,31}, {8,40}, {14,31}, {15,27}, {14,56}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {20,37}, {5,32}, {7,30}, {15,41}, {4,40}, {20,52}, {13,43}, {10,48}, {19,21}, {17,35}, {11,35}, {11,29}, {6,29}, {19,40}, {19,31}, {2,25}, {12,48}, {4,43}, {18,32}, {15,32}, {2,52}, {4,30}, {8,30}, {12,46}, {9,33}, {8,37}, {5,41}, {17,39}, {7,41}, {20,49}, {12,26}, {13,30}, {12,42}, {6,49}, {7,33}, {12,40}, {19,48}, {17,26}, {13,47}, {13,24}, {1,24}, {12,23}, {20,39}, {9,56}, {1,29}, {19,42}, {7,56}, {10,35}, {16,43}, {6,44}, {4,23}, {8,38}, {9,47}, {12,52}, {4,49}, {5,50}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {13,41}, {20,36}, {8,22}, {18,29}, {9,36}, {1,43}, {8,42}, {18,26}, {4,22}, {5,54}, {6,51}, {3,38}, {19,46}, {15,28}, {14,46}, {20,41}, {9,46}, {3,47}, {7,32}, {19,56}, {19,38}, {1,31}, {12,27}, {3,51}, {18,55}, {13,49}, {6,27}, {2,30}, {5,35}, {4,21}, {14,54}, {2,44}, {14,28}, {11,21}, {12,47}, {16,29}, {11,36}, {1,47}, {11,23}, {3,24}, {2,51}, {20,51}, {15,34}, {13,25}, {17,51}, {10,55}, {7,46}, {8,45}, {3,29}, {20,22}, {4,45}, {12,55}, {1,51}, {13,53}, {9,22}, {18,54}, {20,54}, {11,44}, {20,31}, {19,24}, {11,34}, {17,55}, {7,35}, {19,45}, {16,56}, {5,52}, {12,30}, {7,50}, {11,24}, {10,31}, {9,31}, {10,44}, {15,52}, {17,46}, {15,53}, {9,30}, {5,39}, {8,53}, {19,55}, {3,32}, {18,44}, {7,28}, {13,29}, {8,34}, {9,25}, {5,40}, {16,30}, {4,34}, {15,35}, {17,38}, {12,29}, {6,31}, {15,24}, {17,52}, {10,52}, {19,50}, {14,37}, {13,38}, {15,49}, {10,54}, {14,40}, {1,48}, {16,31}, {16,45}, {4,36}, {15,39}, {1,32}, {7,52}, {6,43}, {6,37}, {7,24}, {9,24}, {17,22}, {17,25}, {19,34}, {16,44}, {2,41}, {5,23}, {12,43}, {20,32}, {2,26}, {3,53}, {18,41}, {10,40}, {14,55}, {10,21}, {9,21}, {11,56}, {18,30}, {2,28}, {8,29}, {8,36}, {13,44}, {5,46}, {3,33}, {16,36}, {13,32}, {14,26}, {10,50}, {20,50}, {11,30}, {9,28}, {3,34}, {4,27}, {7,55}, {18,28}, {5,24}, {2,22}, {11,47}, {3,56}, {11,45}, {1,33}, {20,28}, {3,54}, {20,53}, {3,45}, {16,27}, {2,53}, {12,44}, {19,25}, {7,47}, {2,37}, {4,42}, {16,50}, {10,41}, {4,25}, {12,33}, {12,39}, {5,47}, {17,34}, {20,27}, {18,49}, {14,49}, {11,31}, {20,33}, {1,53}, {19,35}, {13,34}, {7,25}, {7,22}, {6,26}, {13,35}, {7,42}, {2,50}, {6,41}, {17,24}, {17,40}, {17,21}, {19,36}, {16,23}, {18,23}, {18,43}, {15,51}, {18,53}, {15,21}, {1,56}, {13,54}, {20,45}, {11,37}, {5,55}, {14,42}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {10,45}, {17,27}, {8,54}, {6,21}, {15,22}, {14,41}, {16,39}, {13,28}, {20,56}, {16,52}, {9,27}, {2,38}, {10,43}, {6,55}, {6,53}, {7,44}, {8,28}, {9,49}, {18,40}, {1,27}, {5,44}, {10,23}, {9,43}, {14,53}, {1,46}, {3,37}, {8,39}, {9,42}, {4,39}, {7,36}, {6,35}, {11,50}, {6,50}, {14,48}, {1,37}, {8,25}, {2,42}, {18,42}, {4,48}, {12,51}, {18,48}, {3,46}, {9,48}, {17,48}, {15,25}, {5,33}, {4,54}, {11,38}, {10,49} }; // ETB56.156 // Bipartite(20,36) Valencies [18,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 28765180443332461776076800000000 EdgesBipt[56][156]:={ {13,21}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {9,32}, {6,25}, {5,56}, {16,51}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {3,35}, {20,46}, {10,33}, {15,27}, {16,55}, {2,49}, {3,23}, {17,56}, {8,23}, {1,21}, {14,45}, {3,39}, {15,56}, {5,32}, {4,51}, {8,31}, {2,46}, {14,29}, {13,40}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {2,25}, {4,43}, {16,42}, {1,52}, {15,32}, {4,30}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {5,41}, {12,38}, {12,26}, {7,27}, {12,42}, {11,39}, {6,49}, {10,26}, {12,31}, {3,52}, {19,48}, {1,24}, {13,24}, {12,23}, {20,39}, {5,37}, {19,52}, {9,56}, {20,35}, {1,36}, {1,29}, {16,34}, {6,46}, {7,56}, {16,43}, {4,23}, {8,38}, {20,55}, {17,36}, {2,29}, {18,46}, {13,41}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {18,26}, {4,22}, {18,33}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {7,32}, {19,56}, {3,31}, {12,27}, {19,47}, {3,51}, {13,49}, {2,30}, {5,53}, {14,34}, {3,36}, {19,23}, {17,29}, {14,54}, {19,27}, {8,50}, {12,47}, {11,36}, {13,48}, {3,55}, {11,23}, {3,24}, {14,33}, {20,51}, {10,38}, {10,46}, {18,22}, {13,25}, {11,48}, {8,47}, {14,21}, {18,38}, {11,52}, {13,36}, {1,41}, {20,22}, {12,55}, {13,53}, {15,23}, {18,54}, {20,54}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {19,24}, {17,28}, {7,35}, {5,52}, {12,30}, {6,30}, {11,24}, {10,29}, {18,25}, {15,52}, {13,56}, {1,25}, {20,30}, {19,55}, {3,32}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {20,47}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {11,32}, {15,24}, {17,52}, {9,52}, {16,26}, {15,40}, {14,37}, {1,44}, {10,54}, {19,44}, {1,48}, {9,41}, {16,31}, {7,39}, {15,39}, {1,32}, {9,44}, {7,52}, {6,37}, {7,24}, {9,24}, {17,25}, {2,54}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {2,26}, {18,41}, {18,21}, {10,21}, {9,21}, {11,56}, {18,30}, {13,44}, {8,27}, {2,45}, {4,55}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {19,39}, {9,28}, {2,21}, {4,27}, {19,43}, {7,55}, {16,46}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {3,56}, {16,38}, {1,33}, {16,27}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {14,30}, {3,28}, {7,31}, {12,39}, {6,54}, {20,27}, {15,55}, {18,49}, {7,51}, {14,49}, {15,47}, {11,31}, {1,53}, {15,48}, {19,35}, {6,26}, {5,21}, {2,50}, {6,41}, {10,53}, {17,24}, {17,40}, {20,23}, {12,34}, {17,21}, {19,36}, {6,42}, {16,23}, {4,35}, {19,32}, {13,33}, {15,51}, {18,53}, {14,25}, {5,49}, {1,56}, {20,34}, {11,28}, {8,55}, {16,35}, {14,42}, {10,34}, {17,53}, {3,40}, {8,35}, {10,45}, {8,54}, {6,21}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {16,54}, {16,39}, {17,37}, {13,28}, {1,28}, {3,27}, {2,38}, {15,36}, {15,31}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {19,51}, {5,44}, {5,25}, {12,54}, {9,53}, {14,53}, {8,39}, {14,22}, {5,36}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {13,52}, {6,50}, {1,37}, {2,42}, {18,42}, {6,33}, {18,34}, {12,51}, {17,49}, {9,48}, {5,48}, {17,48}, {5,33}, {18,37}, {4,54}, {10,49}, {9,37} }; // ETB56.157 // Bipartite(20,36) Valencies [18,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 693315970856386560000000000 EdgesBipt[56][157]:={ {13,21}, {6,52}, {18,45}, {19,28}, {11,40}, {14,36}, {11,49}, {9,32}, {5,38}, {5,56}, {11,25}, {5,45}, {8,26}, {13,39}, {11,43}, {17,33}, {4,31}, {3,35}, {10,33}, {16,55}, {11,53}, {3,23}, {17,56}, {10,39}, {1,21}, {14,45}, {6,48}, {16,37}, {19,37}, {20,37}, {5,32}, {1,35}, {15,41}, {8,31}, {4,37}, {2,46}, {13,27}, {10,48}, {2,33}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {10,42}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {2,52}, {4,30}, {8,30}, {16,49}, {9,33}, {20,43}, {8,37}, {20,24}, {5,41}, {17,39}, {12,38}, {7,41}, {20,49}, {12,26}, {19,22}, {12,42}, {6,39}, {12,31}, {3,52}, {17,26}, {13,47}, {2,48}, {19,52}, {16,25}, {9,56}, {9,35}, {1,29}, {12,37}, {13,51}, {6,46}, {16,43}, {18,39}, {8,38}, {20,55}, {13,26}, {17,47}, {9,47}, {4,49}, {5,50}, {6,24}, {1,38}, {18,46}, {1,26}, {2,36}, {8,49}, {13,41}, {20,36}, {20,42}, {10,51}, {6,34}, {9,29}, {9,39}, {12,49}, {8,42}, {18,33}, {18,36}, {6,51}, {5,27}, {19,46}, {3,43}, {15,28}, {14,46}, {2,39}, {3,47}, {12,24}, {3,31}, {19,47}, {11,22}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {14,34}, {19,23}, {19,49}, {17,29}, {8,48}, {14,54}, {20,25}, {4,32}, {8,56}, {8,50}, {14,28}, {12,56}, {6,36}, {18,51}, {3,55}, {9,51}, {1,47}, {2,24}, {11,23}, {10,36}, {14,33}, {2,51}, {15,37}, {10,46}, {15,34}, {18,22}, {17,51}, {14,39}, {8,24}, {9,38}, {14,21}, {9,26}, {7,46}, {3,29}, {11,52}, {1,41}, {12,55}, {1,51}, {13,53}, {15,23}, {18,54}, {20,54}, {13,45}, {20,31}, {3,25}, {11,34}, {7,35}, {11,46}, {16,56}, {2,27}, {12,30}, {6,30}, {7,34}, {15,52}, {15,53}, {13,56}, {13,50}, {20,30}, {5,39}, {19,55}, {14,27}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {14,52}, {15,46}, {10,22}, {10,30}, {4,50}, {7,23}, {16,30}, {6,22}, {15,35}, {17,38}, {12,25}, {16,26}, {10,52}, {15,40}, {3,22}, {1,44}, {13,38}, {15,49}, {10,54}, {19,53}, {14,40}, {7,49}, {9,41}, {16,31}, {3,41}, {4,36}, {1,32}, {9,44}, {7,52}, {19,29}, {8,32}, {10,28}, {20,48}, {19,34}, {16,44}, {4,44}, {2,54}, {7,40}, {12,50}, {17,41}, {5,23}, {12,43}, {20,32}, {3,53}, {17,50}, {10,40}, {18,21}, {10,21}, {9,21}, {7,29}, {18,30}, {2,28}, {9,23}, {8,36}, {13,44}, {2,45}, {4,55}, {16,36}, {13,32}, {1,45}, {20,50}, {14,51}, {3,34}, {2,21}, {19,43}, {7,55}, {18,28}, {2,22}, {11,47}, {15,29}, {18,24}, {18,52}, {8,43}, {16,38}, {1,33}, {18,27}, {12,36}, {12,44}, {5,26}, {19,25}, {7,47}, {4,42}, {5,29}, {16,50}, {4,25}, {14,30}, {3,28}, {7,31}, {5,47}, {6,54}, {15,55}, {15,47}, {11,31}, {1,53}, {14,24}, {19,35}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {13,35}, {5,21}, {8,44}, {17,21}, {6,28}, {6,42}, {13,33}, {1,56}, {1,50}, {11,37}, {11,28}, {1,23}, {8,55}, {10,24}, {14,42}, {10,27}, {10,34}, {17,53}, {3,40}, {13,23}, {10,45}, {17,27}, {2,40}, {8,54}, {6,21}, {15,22}, {17,45}, {9,45}, {4,26}, {16,54}, {20,56}, {16,24}, {9,27}, {12,32}, {15,31}, {7,43}, {18,40}, {11,55}, {1,27}, {5,44}, {12,54}, {17,23}, {9,53}, {3,37}, {14,22}, {15,43}, {17,32}, {14,48}, {8,25}, {2,42}, {18,42}, {4,48}, {16,32}, {6,33}, {18,34}, {18,48}, {3,46}, {5,33}, {15,25}, {4,56}, {4,54}, {6,40} }; // ETB56.158 // Bipartite(20,36) Valencies [18,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8559456430325760000000 EdgesBipt[56][158]:={ {13,21}, {15,33}, {10,37}, {16,47}, {9,32}, {6,25}, {5,22}, {19,26}, {4,28}, {5,45}, {12,22}, {3,26}, {8,26}, {13,39}, {15,54}, {4,31}, {8,40}, {3,35}, {10,33}, {14,31}, {15,27}, {16,55}, {11,53}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {3,21}, {6,48}, {3,39}, {16,37}, {19,37}, {20,37}, {1,35}, {4,51}, {4,37}, {4,40}, {2,46}, {13,27}, {17,35}, {11,35}, {11,29}, {10,56}, {6,29}, {11,27}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {12,48}, {4,43}, {16,42}, {16,48}, {18,32}, {2,52}, {16,49}, {12,46}, {20,43}, {8,46}, {8,52}, {12,38}, {7,41}, {20,49}, {12,26}, {12,42}, {11,39}, {6,49}, {10,26}, {12,40}, {19,48}, {13,47}, {1,24}, {2,48}, {15,30}, {20,39}, {18,35}, {16,25}, {9,56}, {1,36}, {1,29}, {19,42}, {13,51}, {2,56}, {15,45}, {16,43}, {8,38}, {20,55}, {13,26}, {17,47}, {4,49}, {12,52}, {6,24}, {5,34}, {18,47}, {18,46}, {2,36}, {13,41}, {10,51}, {8,22}, {18,29}, {9,36}, {11,51}, {18,26}, {4,22}, {5,54}, {3,38}, {5,27}, {15,28}, {5,28}, {18,56}, {14,46}, {3,47}, {1,42}, {12,24}, {19,56}, {19,38}, {3,51}, {1,39}, {7,37}, {7,53}, {11,42}, {2,30}, {14,34}, {19,49}, {4,21}, {17,29}, {20,25}, {2,44}, {1,30}, {8,56}, {8,50}, {14,28}, {12,56}, {11,21}, {6,36}, {16,29}, {11,36}, {1,47}, {2,24}, {11,23}, {14,33}, {20,51}, {10,38}, {15,34}, {11,33}, {18,22}, {9,55}, {14,39}, {11,48}, {19,30}, {10,55}, {8,47}, {8,41}, {9,38}, {14,21}, {9,26}, {18,38}, {7,46}, {3,29}, {17,31}, {1,41}, {4,45}, {1,51}, {13,53}, {9,54}, {3,44}, {13,45}, {20,31}, {19,24}, {17,55}, {17,28}, {7,35}, {5,52}, {12,30}, {6,30}, {4,33}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {15,52}, {17,46}, {13,56}, {13,50}, {9,30}, {5,39}, {8,53}, {19,55}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {20,44}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {5,40}, {7,23}, {16,30}, {4,34}, {10,25}, {6,31}, {15,24}, {17,52}, {11,54}, {15,40}, {14,43}, {19,50}, {14,37}, {13,38}, {19,44}, {14,40}, {1,48}, {7,49}, {6,23}, {16,31}, {3,41}, {15,39}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {9,24}, {17,22}, {17,25}, {2,54}, {7,40}, {12,50}, {17,41}, {20,32}, {2,26}, {3,53}, {18,41}, {14,55}, {10,21}, {7,29}, {2,28}, {8,29}, {13,44}, {5,46}, {4,55}, {6,47}, {3,33}, {16,36}, {13,32}, {1,45}, {10,50}, {20,50}, {14,51}, {11,30}, {3,50}, {16,53}, {4,27}, {19,43}, {7,55}, {18,28}, {5,24}, {2,22}, {11,47}, {4,46}, {18,52}, {3,56}, {11,45}, {1,33}, {12,36}, {3,45}, {12,44}, {19,25}, {7,47}, {4,25}, {7,31}, {6,54}, {17,34}, {20,27}, {14,49}, {20,33}, {1,53}, {15,48}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {15,42}, {13,35}, {5,21}, {2,50}, {6,41}, {17,40}, {12,34}, {8,44}, {19,36}, {6,42}, {16,23}, {18,23}, {19,32}, {13,33}, {15,51}, {18,53}, {15,21}, {14,25}, {20,45}, {1,23}, {16,35}, {10,27}, {17,53}, {13,23}, {10,45}, {8,35}, {2,40}, {15,22}, {18,50}, {16,54}, {17,37}, {20,56}, {16,24}, {3,27}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {6,55}, {6,53}, {8,28}, {9,49}, {7,43}, {18,40}, {1,27}, {12,54}, {17,23}, {4,52}, {9,43}, {14,22}, {9,42}, {5,36}, {10,32}, {4,39}, {6,35}, {17,43}, {20,21}, {2,42}, {2,32}, {18,34}, {17,49}, {9,48}, {19,54}, {5,48}, {5,33}, {5,30}, {10,49}, {9,37} }; // ETB56.159 // Bipartite(20,36) Valencies [18,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 100306130042880000000 EdgesBipt[56][159]:={ {15,33}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {6,25}, {5,22}, {16,51}, {19,26}, {4,28}, {8,51}, {5,45}, {12,22}, {14,38}, {17,42}, {14,50}, {20,46}, {8,21}, {14,31}, {15,27}, {14,56}, {1,21}, {14,45}, {20,37}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {20,52}, {2,46}, {6,56}, {10,48}, {16,21}, {19,21}, {14,44}, {2,33}, {6,32}, {17,35}, {4,38}, {3,49}, {10,56}, {10,42}, {6,29}, {19,40}, {2,34}, {12,28}, {16,42}, {16,48}, {2,52}, {8,30}, {12,46}, {20,43}, {7,45}, {8,37}, {5,41}, {12,38}, {7,41}, {20,49}, {12,26}, {13,30}, {7,27}, {19,22}, {6,49}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {20,29}, {13,47}, {13,24}, {2,48}, {19,52}, {13,42}, {20,35}, {9,35}, {1,29}, {12,37}, {15,45}, {6,44}, {18,39}, {4,23}, {20,55}, {13,26}, {17,47}, {9,47}, {12,52}, {17,36}, {5,34}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {8,49}, {13,41}, {9,36}, {9,29}, {12,49}, {8,42}, {4,22}, {7,54}, {18,33}, {5,27}, {19,46}, {3,43}, {5,28}, {20,41}, {2,39}, {9,46}, {19,56}, {19,38}, {3,31}, {11,22}, {18,55}, {1,39}, {7,53}, {5,53}, {11,42}, {2,30}, {5,35}, {3,36}, {17,29}, {8,48}, {20,25}, {4,32}, {19,27}, {12,56}, {18,51}, {4,53}, {11,36}, {3,30}, {3,55}, {13,48}, {1,47}, {2,24}, {3,24}, {10,36}, {14,33}, {2,51}, {15,37}, {10,38}, {18,22}, {14,39}, {11,48}, {10,55}, {8,24}, {4,41}, {14,21}, {17,54}, {8,45}, {11,52}, {17,31}, {13,36}, {1,41}, {20,22}, {12,55}, {1,51}, {13,53}, {9,54}, {15,23}, {9,22}, {11,44}, {4,47}, {20,31}, {3,25}, {11,34}, {17,55}, {7,35}, {19,45}, {11,46}, {16,56}, {5,52}, {2,27}, {11,24}, {10,31}, {10,44}, {18,25}, {15,53}, {13,56}, {13,50}, {9,30}, {5,39}, {14,27}, {13,29}, {17,30}, {10,30}, {5,40}, {20,47}, {4,50}, {7,23}, {16,30}, {4,34}, {10,25}, {15,35}, {6,31}, {11,32}, {9,52}, {12,25}, {11,54}, {16,26}, {14,43}, {3,42}, {19,50}, {3,22}, {14,37}, {1,44}, {13,38}, {15,49}, {10,54}, {18,31}, {19,44}, {9,41}, {6,23}, {16,45}, {7,39}, {15,39}, {4,29}, {1,32}, {6,43}, {6,37}, {7,24}, {9,24}, {17,25}, {19,34}, {16,44}, {4,44}, {2,54}, {12,50}, {17,41}, {5,23}, {12,43}, {14,55}, {18,21}, {7,29}, {11,56}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {14,51}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {18,28}, {15,29}, {2,22}, {4,46}, {18,52}, {8,43}, {16,38}, {1,33}, {18,27}, {20,28}, {3,54}, {20,53}, {16,27}, {12,44}, {7,47}, {5,29}, {16,50}, {3,28}, {8,33}, {5,47}, {15,55}, {18,49}, {7,51}, {14,49}, {15,47}, {1,53}, {5,51}, {6,26}, {13,35}, {5,21}, {7,42}, {6,41}, {17,24}, {20,23}, {12,34}, {4,35}, {19,32}, {18,43}, {15,51}, {15,21}, {14,25}, {1,56}, {13,54}, {20,34}, {1,50}, {11,28}, {1,23}, {8,55}, {10,24}, {16,33}, {17,53}, {3,40}, {13,23}, {2,40}, {8,54}, {4,26}, {16,54}, {16,39}, {17,37}, {16,24}, {12,32}, {10,43}, {15,31}, {6,55}, {6,53}, {18,40}, {9,40}, {19,51}, {20,40}, {1,27}, {17,23}, {9,53}, {4,52}, {3,37}, {8,39}, {9,42}, {9,34}, {15,43}, {10,32}, {7,36}, {6,35}, {11,50}, {17,43}, {6,50}, {8,25}, {2,42}, {16,32}, {18,34}, {17,49}, {11,26}, {3,46}, {9,48}, {17,48}, {15,25}, {5,33}, {18,37}, {4,56}, {11,38}, {10,49} }; // ETB56.160 // Bipartite(20,36) Valencies [18,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 267483013447680 EdgesBipt[56][160]:={ {13,21}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {6,25}, {5,22}, {5,56}, {19,26}, {2,55}, {1,40}, {14,38}, {16,22}, {15,44}, {11,43}, {14,50}, {2,35}, {20,46}, {8,21}, {15,27}, {16,55}, {11,53}, {2,49}, {14,56}, {8,23}, {10,39}, {1,21}, {14,45}, {3,21}, {16,37}, {15,56}, {20,37}, {5,32}, {4,51}, {19,21}, {13,40}, {14,44}, {17,35}, {4,38}, {11,29}, {10,56}, {10,42}, {6,29}, {19,40}, {20,38}, {20,26}, {19,31}, {2,25}, {12,48}, {16,42}, {1,52}, {18,32}, {15,32}, {4,30}, {8,30}, {16,49}, {9,33}, {17,39}, {20,49}, {7,27}, {12,42}, {6,49}, {10,26}, {12,31}, {3,52}, {13,24}, {2,48}, {12,23}, {20,39}, {5,37}, {19,52}, {18,35}, {16,25}, {9,35}, {1,29}, {12,37}, {16,34}, {6,46}, {16,43}, {4,23}, {17,47}, {9,47}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {1,26}, {14,32}, {2,36}, {13,41}, {20,42}, {10,51}, {18,29}, {6,34}, {1,43}, {12,49}, {9,39}, {8,42}, {18,33}, {18,36}, {5,27}, {15,28}, {5,28}, {18,56}, {14,35}, {12,24}, {19,38}, {1,31}, {19,47}, {11,22}, {7,37}, {2,30}, {3,36}, {19,23}, {4,21}, {8,48}, {14,54}, {20,25}, {4,32}, {8,56}, {19,27}, {11,21}, {12,47}, {1,55}, {16,29}, {13,48}, {9,51}, {2,24}, {3,24}, {14,33}, {15,37}, {20,51}, {14,23}, {10,38}, {15,34}, {10,46}, {11,33}, {9,55}, {17,51}, {14,39}, {8,47}, {8,24}, {8,41}, {9,38}, {14,21}, {9,26}, {8,45}, {3,29}, {11,52}, {17,31}, {13,36}, {1,41}, {2,23}, {20,22}, {4,45}, {12,55}, {13,53}, {12,41}, {18,54}, {20,54}, {3,44}, {13,45}, {4,47}, {11,34}, {17,55}, {17,28}, {7,35}, {19,45}, {11,46}, {2,43}, {5,52}, {12,30}, {6,30}, {4,33}, {1,22}, {9,31}, {10,44}, {15,52}, {13,22}, {13,56}, {20,30}, {5,39}, {8,53}, {19,55}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {20,44}, {13,29}, {15,46}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {16,30}, {6,22}, {10,25}, {12,29}, {6,31}, {15,24}, {17,52}, {9,52}, {12,25}, {16,26}, {15,40}, {19,50}, {3,22}, {15,49}, {10,54}, {7,49}, {16,31}, {7,39}, {3,41}, {15,39}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {17,25}, {4,44}, {2,54}, {7,40}, {2,41}, {12,43}, {20,32}, {3,53}, {18,41}, {18,21}, {9,21}, {14,47}, {18,30}, {8,29}, {9,23}, {8,36}, {13,44}, {5,46}, {3,48}, {3,33}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {14,51}, {19,33}, {19,39}, {9,28}, {3,34}, {16,53}, {4,27}, {19,43}, {7,55}, {16,46}, {5,24}, {18,24}, {3,56}, {2,31}, {16,38}, {11,45}, {1,33}, {12,36}, {3,45}, {2,53}, {7,47}, {2,37}, {4,42}, {16,50}, {12,53}, {14,30}, {3,28}, {7,31}, {8,33}, {6,54}, {20,27}, {7,51}, {11,31}, {15,48}, {1,53}, {19,35}, {5,51}, {13,34}, {11,41}, {7,25}, {9,50}, {6,26}, {1,34}, {6,41}, {17,24}, {17,40}, {8,44}, {6,42}, {18,23}, {4,35}, {13,33}, {15,51}, {18,53}, {5,49}, {20,34}, {1,50}, {11,28}, {2,47}, {14,42}, {10,27}, {10,34}, {3,40}, {8,35}, {17,27}, {8,54}, {15,22}, {9,45}, {4,26}, {16,54}, {17,37}, {13,28}, {1,28}, {20,56}, {9,27}, {15,36}, {6,55}, {6,53}, {7,43}, {9,40}, {11,55}, {19,51}, {5,44}, {5,25}, {12,54}, {17,23}, {9,43}, {1,46}, {5,36}, {10,32}, {13,46}, {4,39}, {12,35}, {7,36}, {11,50}, {13,52}, {17,43}, {6,50}, {2,42}, {18,42}, {17,49}, {18,48}, {11,26}, {3,46}, {5,48}, {17,48}, {15,25}, {4,56}, {4,54}, {11,38}, {10,49} }; // ETB56.161 // Bipartite(20,36) Valencies [18,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 737280 EdgesBipt[56][161]:={ {11,40}, {16,47}, {15,38}, {14,36}, {6,25}, {5,38}, {5,22}, {5,56}, {5,45}, {12,22}, {3,26}, {13,37}, {1,40}, {14,38}, {13,39}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {3,35}, {20,46}, {10,33}, {15,27}, {16,55}, {11,53}, {2,49}, {14,56}, {3,23}, {8,23}, {10,39}, {1,21}, {3,39}, {19,37}, {15,56}, {1,35}, {4,51}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {20,52}, {10,48}, {16,21}, {13,40}, {6,32}, {4,38}, {3,49}, {11,35}, {10,56}, {6,29}, {20,38}, {12,28}, {4,24}, {4,43}, {1,52}, {18,32}, {4,30}, {16,49}, {20,43}, {8,37}, {5,41}, {17,39}, {12,38}, {7,41}, {12,26}, {13,30}, {7,27}, {6,39}, {6,49}, {7,33}, {12,31}, {3,52}, {12,40}, {19,48}, {13,47}, {15,30}, {20,39}, {19,52}, {18,35}, {16,25}, {9,56}, {20,35}, {1,36}, {19,42}, {13,51}, {16,34}, {6,46}, {15,45}, {10,35}, {16,43}, {4,23}, {8,38}, {20,55}, {13,26}, {9,47}, {6,24}, {5,34}, {2,36}, {8,49}, {10,51}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {12,49}, {8,42}, {7,54}, {18,33}, {18,36}, {5,27}, {15,28}, {5,28}, {2,39}, {3,47}, {1,42}, {7,32}, {12,24}, {19,56}, {1,31}, {19,47}, {3,51}, {13,49}, {7,37}, {6,27}, {11,42}, {14,34}, {19,49}, {4,21}, {17,29}, {8,48}, {20,25}, {2,44}, {11,21}, {16,29}, {11,36}, {3,30}, {13,48}, {9,51}, {1,47}, {2,24}, {11,23}, {14,33}, {2,51}, {20,51}, {14,23}, {10,38}, {15,34}, {10,46}, {11,33}, {18,22}, {9,55}, {13,25}, {10,55}, {8,24}, {4,41}, {14,21}, {17,54}, {18,38}, {3,29}, {11,52}, {9,54}, {15,23}, {12,41}, {18,54}, {20,54}, {11,44}, {4,47}, {3,44}, {3,25}, {17,55}, {17,28}, {19,45}, {11,46}, {2,43}, {4,33}, {7,50}, {18,25}, {13,22}, {20,30}, {8,53}, {19,55}, {3,32}, {7,28}, {6,45}, {19,41}, {13,29}, {8,34}, {15,46}, {17,30}, {10,30}, {12,45}, {4,34}, {10,25}, {6,31}, {11,32}, {17,52}, {9,52}, {16,26}, {10,52}, {14,43}, {19,50}, {3,22}, {14,37}, {1,44}, {10,54}, {19,53}, {18,31}, {19,44}, {14,40}, {9,41}, {16,31}, {16,45}, {7,39}, {4,36}, {1,32}, {9,44}, {7,52}, {19,29}, {6,43}, {8,32}, {7,24}, {10,28}, {5,31}, {17,22}, {20,48}, {19,34}, {2,54}, {7,40}, {2,41}, {12,50}, {17,41}, {5,23}, {12,43}, {2,26}, {17,50}, {14,55}, {7,29}, {11,56}, {14,47}, {2,28}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {13,32}, {14,26}, {14,51}, {16,53}, {7,55}, {16,46}, {15,29}, {11,47}, {2,22}, {18,24}, {2,31}, {1,33}, {18,27}, {20,28}, {20,53}, {12,36}, {16,27}, {12,44}, {5,26}, {5,29}, {16,50}, {4,25}, {14,30}, {8,33}, {12,39}, {20,27}, {18,49}, {11,31}, {20,33}, {15,48}, {1,53}, {14,24}, {9,50}, {7,22}, {6,26}, {15,42}, {13,35}, {5,21}, {2,50}, {7,42}, {10,53}, {17,24}, {17,40}, {17,21}, {19,36}, {18,23}, {18,53}, {15,21}, {14,25}, {1,56}, {20,45}, {1,50}, {11,28}, {1,23}, {10,27}, {3,40}, {13,23}, {10,45}, {8,35}, {17,27}, {2,40}, {8,54}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {16,39}, {17,37}, {1,28}, {20,56}, {16,24}, {5,42}, {2,38}, {10,43}, {15,31}, {6,55}, {6,53}, {9,49}, {19,51}, {5,44}, {12,54}, {9,53}, {15,26}, {1,46}, {3,37}, {9,42}, {9,34}, {13,46}, {12,35}, {17,32}, {11,50}, {13,52}, {6,50}, {8,25}, {18,42}, {16,32}, {18,34}, {12,51}, {18,48}, {3,46}, {9,48}, {19,54}, {5,48}, {18,37}, {4,56}, {5,30}, {9,37} }; // ETB56.162 // Bipartite(20,36) Valencies [18,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3134566563840 EdgesBipt[56][162]:={ {13,21}, {6,52}, {7,48}, {19,28}, {16,47}, {14,36}, {11,49}, {9,32}, {5,56}, {19,26}, {11,25}, {4,28}, {12,22}, {3,26}, {8,26}, {1,40}, {14,38}, {13,39}, {15,44}, {14,50}, {2,35}, {20,46}, {10,33}, {14,31}, {15,27}, {11,53}, {2,49}, {17,56}, {8,23}, {1,21}, {14,45}, {6,48}, {19,37}, {15,56}, {20,37}, {5,32}, {4,51}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {20,52}, {13,27}, {10,48}, {16,21}, {19,21}, {3,49}, {11,29}, {19,40}, {12,28}, {2,25}, {16,42}, {1,52}, {16,48}, {18,32}, {15,32}, {4,30}, {12,46}, {20,43}, {17,39}, {12,38}, {7,41}, {20,49}, {12,26}, {13,30}, {7,27}, {6,39}, {10,26}, {12,31}, {12,40}, {1,24}, {13,24}, {20,39}, {5,37}, {19,52}, {18,35}, {9,56}, {13,42}, {1,36}, {19,42}, {12,37}, {13,51}, {2,56}, {6,46}, {7,56}, {8,38}, {20,55}, {4,49}, {12,52}, {6,24}, {17,36}, {2,29}, {18,47}, {13,41}, {6,34}, {9,29}, {9,39}, {12,49}, {18,26}, {4,22}, {7,54}, {5,54}, {6,51}, {3,38}, {5,27}, {3,43}, {15,28}, {5,28}, {18,56}, {9,46}, {14,35}, {1,42}, {7,32}, {19,38}, {3,31}, {19,47}, {11,22}, {18,55}, {1,39}, {6,27}, {7,53}, {11,42}, {2,30}, {5,35}, {19,23}, {19,49}, {4,21}, {17,29}, {8,48}, {20,25}, {2,44}, {1,30}, {8,56}, {8,50}, {14,28}, {11,21}, {6,36}, {16,29}, {13,48}, {3,55}, {9,51}, {1,47}, {10,36}, {14,33}, {20,51}, {14,23}, {10,38}, {10,46}, {11,33}, {17,51}, {19,30}, {10,55}, {8,47}, {8,24}, {8,41}, {14,21}, {18,38}, {3,29}, {17,31}, {13,36}, {2,23}, {20,22}, {4,45}, {12,55}, {1,51}, {13,53}, {9,54}, {15,23}, {9,22}, {3,44}, {13,45}, {20,31}, {3,25}, {11,34}, {17,55}, {7,35}, {19,45}, {11,46}, {5,52}, {4,33}, {10,31}, {10,29}, {18,25}, {15,52}, {17,46}, {13,22}, {9,30}, {5,39}, {8,53}, {3,32}, {18,44}, {16,41}, {6,45}, {20,44}, {17,44}, {13,29}, {14,52}, {9,25}, {10,22}, {5,40}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {15,35}, {6,31}, {15,24}, {12,25}, {11,54}, {16,26}, {14,43}, {15,40}, {19,50}, {3,22}, {18,31}, {14,40}, {1,48}, {9,41}, {16,45}, {7,39}, {3,41}, {15,39}, {9,44}, {1,54}, {6,43}, {8,32}, {7,24}, {17,22}, {2,54}, {2,41}, {12,50}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {3,53}, {14,55}, {10,21}, {7,29}, {14,47}, {8,29}, {8,36}, {16,36}, {14,26}, {1,45}, {10,50}, {11,30}, {3,50}, {19,33}, {3,34}, {16,53}, {4,27}, {18,28}, {4,46}, {18,52}, {8,43}, {3,56}, {16,38}, {11,45}, {1,33}, {20,28}, {2,53}, {19,25}, {7,47}, {2,37}, {4,42}, {16,50}, {10,41}, {4,25}, {12,33}, {5,47}, {17,34}, {20,27}, {15,55}, {18,49}, {7,51}, {15,47}, {15,48}, {14,24}, {19,35}, {5,51}, {13,34}, {11,41}, {7,42}, {2,50}, {10,53}, {17,24}, {12,34}, {8,44}, {6,28}, {16,23}, {18,23}, {13,33}, {18,43}, {15,51}, {5,49}, {13,54}, {20,34}, {11,37}, {2,47}, {1,23}, {8,55}, {16,35}, {10,24}, {10,34}, {16,33}, {17,53}, {8,35}, {10,45}, {17,27}, {6,21}, {18,50}, {16,54}, {1,28}, {20,56}, {16,24}, {9,27}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {6,55}, {7,44}, {9,49}, {18,40}, {20,40}, {1,27}, {5,44}, {5,25}, {9,53}, {4,52}, {3,37}, {9,42}, {9,34}, {13,46}, {15,43}, {4,39}, {7,36}, {17,32}, {11,50}, {17,43}, {14,48}, {2,42}, {6,33}, {12,21}, {2,32}, {11,26}, {3,46}, {19,54}, {17,48}, {18,37}, {5,30}, {4,54}, {11,38}, {9,37}, {6,40} }; // ETB56.163 // Bipartite(20,36) Valencies [18,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1567283281920 EdgesBipt[56][163]:={ {15,33}, {6,52}, {7,48}, {6,38}, {10,37}, {15,38}, {11,49}, {5,38}, {5,56}, {16,51}, {11,25}, {2,55}, {12,22}, {1,49}, {13,37}, {1,40}, {17,42}, {15,44}, {11,43}, {15,54}, {2,35}, {4,31}, {8,40}, {20,46}, {8,21}, {14,31}, {14,56}, {8,23}, {10,39}, {1,21}, {14,45}, {3,21}, {3,39}, {15,56}, {20,37}, {5,32}, {13,43}, {16,21}, {13,40}, {14,44}, {2,33}, {17,35}, {4,38}, {3,49}, {10,56}, {10,42}, {6,29}, {11,27}, {19,31}, {12,48}, {4,43}, {1,52}, {16,48}, {15,32}, {2,52}, {8,30}, {12,46}, {9,33}, {20,24}, {8,52}, {7,41}, {20,49}, {13,30}, {12,42}, {6,39}, {11,39}, {12,31}, {3,52}, {19,48}, {17,26}, {13,47}, {2,48}, {15,30}, {5,37}, {13,55}, {18,35}, {13,42}, {20,35}, {9,35}, {1,29}, {19,42}, {15,45}, {7,56}, {18,39}, {4,23}, {17,47}, {9,47}, {5,50}, {17,36}, {18,47}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {20,36}, {10,51}, {18,29}, {11,51}, {9,39}, {8,42}, {4,22}, {18,36}, {6,51}, {5,27}, {5,28}, {14,46}, {9,46}, {7,32}, {12,24}, {19,56}, {19,47}, {3,51}, {11,22}, {13,49}, {7,37}, {6,27}, {7,53}, {5,35}, {14,34}, {15,50}, {3,36}, {19,23}, {17,29}, {20,25}, {4,32}, {8,56}, {19,27}, {14,28}, {18,51}, {4,53}, {16,29}, {11,36}, {3,30}, {9,51}, {2,24}, {3,24}, {14,33}, {15,37}, {10,46}, {18,22}, {13,25}, {14,39}, {11,48}, {19,30}, {8,47}, {4,41}, {9,38}, {8,41}, {14,21}, {9,26}, {17,54}, {8,45}, {1,41}, {2,23}, {20,22}, {12,55}, {9,54}, {12,41}, {9,22}, {4,47}, {3,25}, {19,24}, {11,34}, {11,46}, {16,56}, {2,43}, {5,52}, {12,30}, {6,30}, {1,22}, {11,24}, {10,44}, {10,29}, {13,22}, {1,25}, {13,31}, {9,30}, {5,39}, {8,53}, {19,55}, {14,27}, {16,41}, {7,28}, {20,44}, {14,52}, {17,30}, {10,22}, {5,40}, {10,30}, {20,47}, {4,50}, {12,45}, {4,34}, {10,25}, {17,38}, {12,29}, {6,31}, {16,26}, {14,43}, {3,42}, {15,49}, {10,54}, {19,44}, {14,40}, {7,49}, {16,45}, {4,29}, {7,52}, {6,43}, {8,32}, {7,24}, {17,25}, {20,48}, {16,44}, {4,44}, {7,40}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {17,50}, {18,41}, {14,55}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {2,45}, {4,55}, {3,48}, {3,33}, {16,36}, {1,45}, {14,51}, {19,39}, {2,21}, {16,53}, {19,43}, {7,55}, {18,28}, {4,46}, {18,24}, {18,52}, {2,31}, {16,38}, {1,33}, {18,27}, {3,54}, {12,36}, {3,45}, {16,27}, {5,26}, {16,50}, {12,53}, {10,41}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {6,54}, {15,55}, {11,31}, {20,33}, {1,53}, {19,35}, {5,51}, {13,34}, {7,25}, {9,50}, {6,26}, {15,42}, {1,34}, {13,35}, {2,50}, {6,41}, {10,53}, {17,24}, {20,23}, {12,34}, {8,44}, {19,36}, {6,28}, {6,42}, {18,23}, {4,35}, {19,32}, {18,53}, {15,21}, {5,49}, {13,54}, {20,34}, {20,45}, {1,50}, {11,37}, {2,47}, {10,27}, {10,34}, {16,33}, {17,53}, {3,40}, {13,23}, {8,35}, {2,40}, {8,54}, {9,45}, {4,26}, {16,39}, {17,37}, {13,28}, {1,28}, {20,56}, {16,24}, {3,27}, {9,27}, {2,38}, {15,31}, {6,55}, {6,53}, {7,44}, {8,28}, {7,43}, {18,40}, {11,55}, {19,51}, {5,44}, {5,25}, {12,54}, {17,23}, {15,26}, {1,46}, {3,37}, {14,22}, {9,42}, {9,34}, {15,43}, {13,46}, {10,32}, {7,36}, {11,50}, {13,52}, {6,50}, {20,21}, {1,37}, {16,32}, {12,21}, {18,34}, {17,49}, {18,48}, {11,26}, {19,54}, {17,48}, {15,25}, {4,56}, {11,38}, {10,49}, {6,40} }; // ETB56.164 // Bipartite(28,28) Valencies [18,18] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 241920 EdgesBipt[56][164]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {11,42}, {4,46}, {3,29}, {19,41}, {25,42}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {20,50}, {3,49}, {22,49}, {8,37}, {17,54}, {18,51}, {11,52}, {27,53}, {3,55}, {28,50}, {10,54}, {2,39}, {18,38}, {7,53}, {19,51}, {8,36}, {28,54}, {13,43}, {19,37}, {17,29}, {23,29}, {18,49}, {9,49}, {15,33}, {24,52}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {28,29}, {5,56}, {1,41}, {23,50}, {14,54}, {2,38}, {23,53}, {2,52}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {24,39}, {21,31}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {25,29}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {3,32}, {11,37}, {8,38}, {25,51}, {19,30}, {8,52}, {5,47}, {28,43}, {5,55}, {17,42}, {11,47}, {23,49}, {18,50}, {12,48}, {11,36}, {28,44}, {1,55}, {24,48}, {19,40}, {15,51}, {5,53}, {13,53}, {27,32}, {28,32}, {18,54}, {25,56}, {25,41}, {17,51}, {14,43}, {7,30}, {9,53}, {8,40}, {1,31}, {11,48}, {6,35}, {21,30}, {21,44}, {23,33}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {22,32}, {8,39}, {20,54}, {22,45}, {9,55}, {27,56}, {12,38}, {13,33}, {26,44}, {18,35}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {12,44}, {8,35}, {11,38}, {6,40}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {27,41}, {21,55}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {4,45}, {28,39}, {11,56}, {20,43}, {4,44}, {5,36}, {24,54}, {14,53}, {26,43}, {1,37}, {6,52}, {21,37}, {3,50}, {27,51}, {1,29}, {2,34}, {15,55}, {14,35}, {12,41}, {6,49}, {11,32}, {10,43}, {5,29}, {27,36}, {26,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {5,51}, {16,55}, {25,33}, {14,32}, {9,37}, {27,38}, {17,53}, {25,47}, {11,41}, {22,46}, {24,55}, {8,34}, {23,46}, {12,50}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {11,49}, {7,37}, {21,45}, {19,52}, {27,33}, {3,36}, {24,50}, {11,50}, {6,43}, {9,54}, {26,31}, {12,47}, {7,29}, {11,53}, {2,51}, {3,37}, {28,40}, {23,32}, {26,35}, {7,36}, {10,46}, {22,33}, {20,31}, {9,44}, {9,42}, {8,55}, {16,37}, {17,36}, {26,39}, {21,29}, {12,45}, {15,36}, {16,29}, {15,42}, {9,43}, {6,53}, {16,46}, {27,48}, {24,34}, {15,30}, {16,36}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {6,44}, {25,36}, {22,52}, {2,42}, {10,52}, {15,37}, {7,55}, {7,35}, {27,47}, {23,48}, {15,29}, {20,38}, {4,29}, {27,40}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {13,36}, {3,35}, {5,48}, {14,31}, {8,45}, {20,37}, {11,33}, {1,34}, {22,40}, {24,35}, {13,37}, {24,37}, {24,31}, {5,30}, {10,53}, {2,49}, {21,54}, {14,46}, {6,56}, {9,30}, {3,46}, {16,31}, {22,30}, {26,40}, {18,30}, {6,50}, {28,31}, {28,35}, {19,56}, {8,29}, {17,31}, {1,48}, {23,41}, {19,36}, {9,34}, {16,41}, {16,52}, {2,33}, {6,32}, {24,47}, {9,47}, {27,46}, {4,32}, {21,53}, {15,35}, {13,41}, {4,55}, {8,54}, {19,29}, {18,39}, {9,48}, {3,38}, {25,48}, {2,43}, {13,44}, {16,40}, {6,51}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {22,39}, {8,32}, {7,52}, {23,40}, {13,31}, {10,38}, {3,30}, {21,33}, {6,54}, {1,56}, {23,55}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {5,49}, {28,34}, {13,39}, {3,52}, {28,38}, {28,48}, {19,42}, {24,29}, {19,50}, {17,34}, {13,55}, {18,46}, {24,46}, {23,51}, {18,56}, {1,45}, {10,30}, {17,39}, {7,32}, {22,54}, {20,34}, {25,34}, {11,46}, {9,56}, {4,31}, {3,41}, {10,33}, {17,49}, {19,47}, {14,56}, {22,50}, {26,38}, {3,56}, {16,39}, {5,37}, {25,43}, {14,44}, {25,54}, {1,36}, {18,40}, {13,30}, {24,32}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {19,53}, {2,46}, {7,56}, {23,35}, {11,55}, {12,34}, {15,41}, {4,50}, {16,44}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {28,41}, {10,56}, {10,44}, {1,33}, {6,33}, {2,32}, {22,34}, {15,52}, {28,46}, {19,48}, {9,36}, {26,56}, {10,40}, {27,49}, {21,41}, {12,40}, {20,41}, {15,32}, {14,38}, {6,30}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {25,44}, {24,40}, {26,42}, {23,30}, {22,31}, {20,47}, {28,55}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {28,36}, {13,47}, {23,37}, {10,45}, {23,42}, {15,53}, {21,49}, {20,46}, {22,42}, {12,36}, {22,44}, {26,51}, {21,39}, {15,56}, {3,33}, {27,35}, {23,47}, {27,50}, {16,38}, {12,37}, {17,30}, {25,55}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {27,29}, {13,45}, {4,37}, {4,35}, {28,47}, {2,35}, {10,32}, {25,53}, {17,47}, {8,50}, {12,55}, {10,49}, {12,46}, {4,36}, {5,54}, {2,31} }; // ETB56.165 // Bipartite(16,40) Valencies [20,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 320 EdgesBipt[56][165]:={ {6,52}, {15,33}, {11,40}, {16,47}, {11,49}, {5,38}, {5,22}, {10,18}, {16,51}, {11,25}, {5,45}, {12,22}, {8,26}, {16,22}, {11,43}, {14,31}, {14,56}, {3,20}, {16,37}, {15,56}, {5,32}, {4,51}, {1,35}, {7,30}, {2,46}, {6,56}, {13,27}, {14,29}, {16,21}, {14,44}, {2,33}, {6,32}, {4,38}, {11,29}, {10,56}, {10,42}, {11,27}, {3,18}, {9,18}, {12,28}, {4,24}, {4,43}, {16,48}, {2,52}, {15,32}, {8,30}, {16,49}, {1,17}, {8,46}, {8,37}, {12,20}, {5,41}, {12,38}, {11,39}, {10,26}, {2,17}, {7,33}, {3,52}, {12,40}, {13,47}, {1,24}, {15,30}, {13,55}, {16,25}, {13,42}, {9,35}, {1,36}, {6,18}, {15,19}, {12,37}, {16,34}, {7,56}, {6,44}, {8,38}, {13,26}, {5,50}, {12,52}, {4,49}, {6,24}, {2,29}, {13,19}, {1,26}, {8,49}, {8,22}, {6,34}, {1,43}, {11,51}, {9,39}, {8,42}, {9,20}, {7,54}, {5,54}, {8,19}, {3,38}, {3,43}, {5,28}, {14,46}, {2,39}, {4,18}, {8,18}, {1,42}, {7,32}, {1,31}, {12,27}, {3,51}, {7,37}, {2,30}, {5,53}, {8,48}, {13,17}, {7,19}, {2,44}, {14,28}, {11,21}, {12,47}, {8,17}, {11,36}, {3,30}, {3,55}, {16,17}, {1,47}, {3,24}, {10,36}, {2,51}, {15,37}, {14,23}, {15,34}, {14,39}, {10,55}, {8,24}, {4,41}, {9,38}, {3,29}, {11,52}, {13,36}, {1,41}, {2,23}, {4,45}, {12,55}, {9,54}, {10,19}, {15,23}, {9,22}, {3,44}, {13,45}, {3,25}, {7,35}, {16,56}, {2,43}, {6,30}, {9,31}, {10,29}, {13,22}, {15,53}, {1,25}, {4,17}, {9,30}, {5,39}, {3,32}, {14,27}, {6,45}, {15,46}, {10,22}, {4,50}, {6,31}, {15,24}, {12,25}, {10,52}, {14,43}, {15,40}, {14,37}, {1,44}, {13,38}, {15,49}, {10,54}, {7,49}, {1,48}, {14,40}, {9,41}, {16,31}, {7,39}, {4,36}, {4,29}, {9,44}, {7,52}, {6,43}, {7,24}, {10,28}, {5,31}, {2,19}, {6,20}, {2,54}, {12,50}, {5,23}, {3,53}, {10,40}, {10,21}, {9,21}, {11,56}, {14,47}, {2,28}, {7,21}, {13,44}, {8,27}, {2,45}, {4,55}, {3,33}, {16,36}, {1,45}, {3,50}, {9,28}, {3,34}, {16,53}, {4,27}, {11,47}, {15,29}, {4,46}, {2,31}, {14,19}, {12,36}, {3,45}, {2,53}, {12,44}, {7,47}, {5,29}, {16,50}, {12,53}, {10,41}, {4,25}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {6,54}, {15,55}, {7,51}, {15,48}, {5,51}, {13,34}, {11,41}, {9,50}, {6,26}, {1,34}, {15,42}, {13,35}, {5,21}, {6,41}, {12,34}, {6,42}, {16,23}, {13,33}, {14,25}, {5,49}, {1,56}, {13,54}, {7,26}, {1,50}, {11,37}, {11,28}, {2,47}, {5,18}, {1,23}, {8,55}, {16,35}, {11,20}, {14,42}, {10,34}, {15,18}, {5,17}, {16,33}, {3,40}, {7,17}, {10,45}, {8,35}, {13,23}, {8,54}, {6,21}, {15,22}, {14,41}, {4,26}, {13,28}, {16,24}, {7,20}, {9,27}, {2,38}, {7,43}, {9,40}, {11,55}, {4,20}, {8,20}, {1,27}, {10,23}, {9,53}, {14,53}, {1,46}, {8,39}, {9,42}, {5,36}, {10,32}, {13,46}, {4,39}, {12,35}, {6,35}, {13,52}, {6,50}, {14,48}, {4,48}, {16,32}, {2,32}, {12,21}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {15,25}, {10,49}, {9,37}, {6,40} }; // ETB56.166 // Bipartite(16,40) Valencies [20,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 460242887093319388417228800000000 EdgesBipt[56][166]:={ {13,21}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {9,32}, {6,25}, {9,17}, {10,18}, {5,56}, {16,51}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {15,44}, {11,43}, {14,50}, {4,31}, {3,35}, {10,33}, {3,19}, {15,27}, {16,55}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {14,45}, {3,39}, {15,56}, {5,32}, {4,51}, {8,31}, {2,46}, {14,29}, {13,40}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {10,17}, {2,25}, {4,43}, {16,42}, {1,52}, {15,32}, {4,30}, {8,30}, {12,46}, {9,33}, {1,17}, {8,46}, {5,41}, {12,38}, {12,26}, {7,27}, {12,42}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {1,24}, {13,24}, {12,23}, {5,37}, {13,20}, {9,56}, {1,36}, {6,18}, {1,29}, {15,19}, {16,34}, {6,46}, {7,56}, {16,43}, {4,23}, {8,38}, {2,29}, {13,41}, {8,22}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {9,20}, {4,22}, {8,19}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {8,18}, {4,18}, {3,47}, {7,32}, {3,31}, {12,27}, {3,51}, {13,49}, {2,30}, {5,53}, {14,34}, {3,36}, {13,17}, {14,54}, {7,19}, {16,18}, {8,50}, {12,47}, {11,36}, {13,48}, {3,55}, {11,23}, {3,24}, {14,33}, {10,38}, {10,46}, {13,25}, {11,48}, {8,47}, {14,21}, {11,52}, {13,36}, {1,41}, {12,55}, {13,53}, {15,23}, {11,44}, {13,45}, {4,47}, {3,44}, {7,35}, {5,52}, {12,30}, {6,30}, {11,24}, {10,29}, {15,52}, {13,56}, {1,25}, {3,32}, {7,28}, {6,45}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {11,32}, {15,24}, {9,52}, {16,26}, {15,40}, {14,37}, {1,44}, {10,54}, {1,48}, {9,41}, {16,31}, {7,39}, {15,39}, {1,32}, {9,44}, {7,52}, {6,37}, {7,24}, {9,24}, {2,54}, {7,40}, {2,41}, {12,50}, {12,43}, {5,20}, {2,26}, {10,21}, {9,21}, {11,56}, {13,44}, {8,27}, {2,45}, {4,55}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {9,28}, {2,21}, {4,27}, {7,55}, {16,46}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {3,56}, {16,38}, {1,33}, {16,27}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {3,28}, {14,30}, {7,31}, {11,19}, {12,39}, {6,54}, {15,55}, {7,51}, {14,49}, {15,47}, {11,31}, {1,53}, {15,48}, {6,26}, {14,18}, {5,21}, {2,50}, {6,41}, {10,53}, {12,34}, {6,42}, {16,23}, {4,35}, {13,33}, {15,51}, {14,25}, {5,49}, {1,56}, {11,28}, {8,55}, {16,35}, {11,20}, {14,42}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {8,54}, {6,21}, {9,45}, {14,41}, {4,26}, {16,54}, {15,20}, {16,39}, {13,28}, {1,28}, {3,27}, {7,20}, {2,38}, {15,36}, {15,31}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {5,44}, {5,25}, {12,54}, {9,53}, {14,53}, {4,19}, {8,39}, {14,22}, {14,17}, {5,36}, {16,19}, {15,43}, {4,39}, {12,35}, {7,36}, {12,19}, {13,52}, {6,50}, {1,37}, {2,42}, {6,33}, {12,51}, {9,48}, {5,48}, {5,33}, {4,54}, {10,49}, {9,37} }; // ETB56.167 // Bipartite(16,40) Valencies [20,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2113446032179200000000 EdgesBipt[56][167]:={ {6,52}, {7,48}, {10,37}, {16,47}, {15,38}, {14,36}, {9,32}, {6,25}, {9,17}, {4,28}, {5,43}, {3,26}, {8,26}, {1,49}, {1,40}, {16,22}, {13,39}, {11,43}, {14,50}, {15,54}, {3,35}, {10,33}, {3,19}, {15,27}, {16,55}, {11,53}, {2,49}, {8,23}, {3,21}, {14,45}, {15,56}, {4,51}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {14,44}, {2,33}, {11,35}, {11,29}, {10,56}, {6,29}, {11,27}, {1,20}, {3,18}, {10,17}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {16,42}, {1,52}, {15,32}, {8,30}, {16,49}, {9,33}, {1,17}, {8,46}, {12,20}, {7,27}, {6,49}, {2,17}, {12,40}, {13,47}, {1,24}, {2,48}, {15,30}, {13,20}, {13,55}, {16,25}, {9,56}, {13,42}, {1,36}, {6,18}, {15,19}, {12,37}, {13,51}, {16,34}, {2,56}, {7,56}, {6,44}, {11,18}, {8,38}, {13,26}, {9,47}, {12,52}, {5,50}, {2,29}, {5,34}, {13,19}, {8,49}, {8,22}, {9,36}, {6,34}, {11,51}, {9,39}, {8,42}, {9,20}, {7,54}, {3,38}, {5,27}, {3,43}, {6,17}, {5,28}, {8,18}, {7,32}, {12,24}, {1,31}, {12,27}, {3,51}, {11,22}, {1,39}, {2,30}, {11,42}, {5,35}, {14,34}, {4,21}, {7,19}, {4,32}, {16,18}, {13,18}, {8,50}, {14,28}, {12,56}, {11,21}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {16,17}, {1,47}, {2,24}, {14,33}, {10,38}, {10,46}, {9,55}, {8,47}, {8,41}, {14,21}, {7,46}, {3,29}, {13,36}, {1,41}, {4,45}, {15,23}, {11,34}, {7,35}, {11,46}, {5,52}, {5,19}, {9,31}, {10,29}, {1,25}, {13,50}, {13,31}, {5,39}, {16,41}, {6,45}, {8,34}, {14,52}, {9,25}, {15,46}, {10,22}, {10,30}, {7,23}, {16,30}, {12,45}, {10,25}, {15,35}, {12,29}, {15,24}, {9,52}, {11,54}, {16,26}, {3,42}, {15,40}, {3,22}, {14,37}, {1,44}, {10,54}, {1,48}, {9,41}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,37}, {7,24}, {9,24}, {5,31}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {3,53}, {10,40}, {10,21}, {9,23}, {13,44}, {2,45}, {14,26}, {11,30}, {3,50}, {9,28}, {3,34}, {2,21}, {4,27}, {7,55}, {16,46}, {2,22}, {16,38}, {11,45}, {1,33}, {3,54}, {12,36}, {3,45}, {2,53}, {12,44}, {5,26}, {7,47}, {2,37}, {16,50}, {12,53}, {10,41}, {7,31}, {11,19}, {8,33}, {5,47}, {15,55}, {7,51}, {14,49}, {15,47}, {15,48}, {5,51}, {13,34}, {7,22}, {6,26}, {13,35}, {14,18}, {6,41}, {10,53}, {6,28}, {6,42}, {16,23}, {4,35}, {15,51}, {14,20}, {14,25}, {1,56}, {11,37}, {5,18}, {1,23}, {8,55}, {10,24}, {5,55}, {14,42}, {16,33}, {13,23}, {10,45}, {2,40}, {8,54}, {6,21}, {15,22}, {14,41}, {16,54}, {16,39}, {13,28}, {1,28}, {3,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,31}, {6,53}, {9,49}, {7,43}, {9,40}, {4,20}, {5,44}, {4,52}, {14,53}, {4,19}, {8,39}, {3,37}, {14,17}, {5,36}, {10,32}, {15,43}, {12,35}, {11,50}, {12,19}, {13,52}, {6,50}, {8,25}, {4,48}, {2,32}, {12,21}, {6,33}, {12,51}, {11,26}, {3,46}, {9,48}, {4,56}, {11,38}, {10,49} }; // ETB56.168 // Bipartite(16,40) Valencies [20,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16511297126400000000 EdgesBipt[56][168]:={ {13,21}, {7,48}, {16,47}, {11,49}, {9,32}, {5,56}, {11,25}, {4,28}, {5,43}, {2,55}, {8,51}, {5,45}, {1,49}, {13,37}, {1,40}, {16,22}, {15,44}, {11,43}, {14,50}, {4,31}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {16,55}, {1,19}, {2,49}, {14,56}, {10,39}, {3,20}, {2,18}, {3,21}, {6,48}, {16,28}, {5,32}, {1,35}, {4,37}, {13,43}, {6,56}, {13,27}, {10,48}, {2,33}, {6,32}, {4,38}, {11,35}, {10,56}, {11,17}, {6,29}, {11,27}, {10,47}, {2,34}, {10,17}, {12,28}, {2,25}, {2,52}, {4,30}, {8,30}, {16,49}, {1,17}, {8,46}, {8,37}, {12,20}, {7,41}, {12,26}, {12,42}, {6,39}, {2,17}, {7,33}, {3,52}, {1,24}, {5,37}, {13,20}, {16,25}, {9,56}, {13,42}, {6,18}, {13,51}, {7,56}, {15,45}, {4,23}, {8,38}, {13,26}, {9,47}, {12,52}, {5,50}, {6,24}, {5,34}, {1,38}, {13,19}, {14,32}, {2,36}, {8,22}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {4,22}, {8,19}, {3,38}, {5,27}, {3,43}, {15,28}, {2,39}, {9,46}, {14,35}, {7,32}, {12,27}, {3,51}, {11,22}, {5,53}, {5,35}, {14,34}, {3,36}, {15,50}, {4,21}, {8,48}, {2,44}, {1,30}, {8,56}, {13,18}, {4,53}, {11,36}, {3,30}, {16,17}, {14,33}, {15,37}, {10,38}, {10,46}, {15,34}, {11,33}, {9,55}, {10,55}, {8,24}, {9,38}, {8,45}, {3,29}, {11,52}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {1,51}, {13,53}, {9,54}, {15,23}, {12,41}, {9,22}, {11,44}, {13,45}, {4,47}, {3,44}, {11,46}, {7,50}, {1,22}, {7,34}, {10,31}, {9,31}, {5,19}, {15,52}, {15,53}, {1,25}, {13,50}, {2,20}, {9,30}, {8,53}, {14,27}, {16,41}, {6,45}, {12,18}, {13,29}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {10,25}, {6,31}, {12,25}, {11,54}, {14,43}, {3,22}, {10,54}, {7,49}, {1,48}, {14,40}, {6,23}, {16,31}, {7,39}, {4,36}, {15,39}, {4,29}, {1,32}, {1,54}, {6,37}, {8,32}, {7,24}, {9,24}, {16,44}, {4,44}, {7,40}, {2,41}, {12,50}, {12,43}, {2,26}, {3,53}, {10,40}, {9,21}, {2,28}, {8,29}, {9,23}, {13,44}, {8,27}, {4,55}, {6,47}, {16,36}, {14,26}, {14,51}, {11,30}, {7,55}, {16,46}, {5,24}, {15,29}, {16,20}, {4,46}, {8,43}, {2,31}, {14,19}, {16,38}, {1,33}, {3,54}, {12,36}, {3,45}, {12,44}, {5,26}, {7,47}, {5,29}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {15,55}, {14,49}, {15,47}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {6,26}, {15,42}, {13,35}, {14,18}, {5,21}, {2,50}, {7,42}, {12,34}, {6,42}, {16,23}, {14,25}, {15,21}, {1,56}, {7,26}, {7,18}, {11,28}, {2,47}, {5,18}, {10,24}, {11,20}, {14,42}, {15,18}, {16,33}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {14,41}, {16,54}, {15,20}, {16,39}, {13,28}, {16,52}, {3,27}, {5,42}, {15,36}, {15,31}, {6,55}, {6,53}, {9,40}, {4,20}, {1,27}, {10,23}, {9,53}, {4,52}, {15,26}, {1,46}, {3,37}, {14,17}, {10,32}, {4,39}, {12,35}, {12,19}, {13,52}, {6,50}, {14,48}, {2,42}, {12,51}, {3,46}, {9,48}, {5,48}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB56.169 // Bipartite(16,40) Valencies [20,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 121734491453521920 EdgesBipt[56][169]:={ {6,52}, {7,48}, {6,38}, {11,40}, {10,37}, {15,38}, {9,32}, {6,25}, {5,22}, {5,43}, {2,55}, {8,51}, {12,22}, {1,49}, {13,37}, {14,38}, {16,22}, {15,44}, {15,54}, {2,35}, {10,33}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {2,49}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {6,48}, {3,39}, {15,56}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,44}, {6,32}, {3,49}, {6,29}, {3,18}, {10,47}, {10,17}, {12,28}, {2,25}, {12,48}, {4,43}, {16,42}, {4,30}, {12,46}, {9,33}, {1,17}, {5,41}, {8,52}, {12,38}, {12,26}, {12,42}, {6,39}, {6,49}, {2,17}, {10,20}, {13,47}, {13,24}, {2,48}, {15,30}, {13,55}, {9,56}, {9,35}, {6,18}, {1,29}, {16,34}, {2,56}, {7,56}, {16,43}, {4,23}, {11,18}, {13,26}, {5,50}, {12,52}, {4,49}, {2,29}, {3,17}, {2,36}, {16,40}, {10,51}, {8,22}, {9,36}, {1,43}, {9,29}, {9,39}, {11,51}, {8,42}, {6,51}, {3,38}, {15,28}, {2,39}, {9,46}, {3,47}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {3,51}, {11,22}, {1,39}, {11,42}, {5,53}, {14,34}, {15,50}, {13,17}, {14,54}, {7,19}, {14,28}, {12,56}, {11,21}, {1,55}, {4,53}, {3,30}, {1,47}, {15,37}, {15,34}, {9,55}, {13,25}, {11,48}, {8,24}, {8,41}, {9,26}, {14,21}, {7,46}, {8,45}, {3,29}, {11,52}, {13,36}, {1,41}, {12,55}, {1,51}, {13,53}, {9,22}, {9,19}, {13,45}, {4,47}, {11,44}, {11,34}, {16,56}, {5,52}, {2,27}, {4,33}, {7,50}, {11,24}, {10,31}, {5,19}, {10,44}, {13,56}, {1,25}, {6,19}, {4,17}, {5,39}, {8,53}, {14,27}, {7,28}, {6,45}, {12,18}, {8,34}, {9,25}, {15,46}, {10,30}, {5,40}, {4,50}, {16,30}, {12,45}, {6,22}, {6,31}, {11,32}, {15,24}, {9,52}, {12,25}, {11,54}, {16,26}, {15,40}, {14,37}, {10,54}, {7,49}, {15,17}, {7,39}, {3,41}, {4,36}, {4,29}, {7,52}, {8,32}, {5,31}, {2,19}, {16,44}, {7,40}, {5,23}, {5,20}, {2,26}, {10,40}, {14,55}, {10,21}, {7,29}, {14,47}, {2,28}, {9,23}, {13,44}, {2,45}, {3,48}, {16,36}, {1,45}, {10,50}, {14,51}, {11,30}, {3,50}, {16,53}, {4,27}, {16,46}, {16,20}, {4,46}, {8,43}, {1,33}, {12,36}, {12,44}, {2,37}, {5,29}, {16,50}, {10,41}, {3,28}, {8,33}, {15,47}, {11,31}, {1,53}, {15,48}, {14,24}, {5,51}, {13,34}, {11,41}, {7,22}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {16,23}, {13,33}, {14,25}, {5,49}, {13,54}, {7,26}, {7,18}, {11,28}, {2,47}, {1,23}, {8,55}, {10,24}, {11,20}, {10,27}, {10,34}, {15,18}, {16,33}, {3,40}, {13,23}, {8,35}, {8,54}, {6,21}, {9,45}, {14,41}, {4,26}, {16,54}, {15,20}, {16,24}, {16,52}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {6,55}, {9,49}, {4,20}, {1,27}, {12,54}, {10,23}, {9,53}, {15,26}, {9,43}, {4,19}, {3,37}, {9,42}, {14,17}, {13,46}, {4,39}, {12,35}, {7,36}, {6,35}, {11,50}, {14,48}, {1,37}, {8,25}, {16,32}, {5,33}, {4,56}, {5,30}, {11,38} }; // ETB56.170 // Bipartite(16,40) Valencies [20,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2013265920 EdgesBipt[56][170]:={ {13,21}, {15,33}, {7,48}, {11,40}, {16,47}, {11,49}, {5,38}, {5,22}, {10,18}, {9,17}, {5,43}, {8,51}, {5,45}, {8,26}, {1,49}, {1,40}, {15,44}, {14,50}, {4,31}, {3,35}, {10,33}, {8,21}, {3,19}, {15,27}, {16,55}, {11,53}, {3,23}, {2,18}, {6,48}, {3,39}, {16,37}, {4,51}, {15,41}, {8,31}, {2,46}, {6,56}, {14,29}, {10,48}, {13,40}, {14,44}, {4,38}, {3,49}, {11,29}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {2,34}, {4,43}, {1,52}, {2,52}, {1,17}, {8,46}, {8,37}, {12,20}, {8,52}, {12,38}, {13,30}, {7,27}, {6,49}, {10,26}, {12,40}, {10,20}, {1,24}, {13,24}, {2,48}, {13,20}, {16,25}, {9,56}, {9,35}, {1,29}, {15,19}, {13,51}, {16,34}, {2,56}, {7,56}, {10,35}, {16,43}, {4,23}, {11,18}, {13,26}, {5,50}, {4,49}, {5,34}, {14,32}, {2,36}, {13,41}, {16,40}, {10,51}, {8,22}, {9,36}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {4,22}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {3,43}, {15,28}, {6,17}, {2,39}, {4,18}, {3,47}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {11,22}, {7,37}, {2,30}, {5,53}, {11,42}, {5,35}, {14,34}, {3,36}, {14,54}, {4,32}, {2,44}, {1,30}, {8,56}, {13,18}, {14,28}, {12,56}, {12,47}, {11,21}, {6,36}, {8,17}, {4,53}, {3,55}, {16,17}, {2,24}, {3,24}, {14,33}, {15,37}, {10,38}, {10,46}, {11,33}, {9,55}, {13,25}, {14,39}, {11,48}, {10,55}, {8,47}, {8,41}, {14,21}, {7,46}, {8,45}, {3,29}, {11,52}, {13,36}, {2,23}, {4,45}, {12,55}, {1,51}, {9,54}, {12,41}, {9,22}, {9,19}, {13,45}, {4,47}, {3,44}, {11,34}, {2,43}, {6,30}, {4,33}, {7,34}, {10,31}, {5,19}, {15,53}, {13,56}, {1,25}, {13,50}, {13,31}, {9,30}, {5,39}, {7,28}, {12,18}, {14,52}, {9,25}, {15,46}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {12,25}, {11,54}, {16,26}, {14,37}, {1,44}, {13,38}, {9,41}, {6,23}, {16,45}, {15,17}, {15,39}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {10,28}, {2,19}, {6,20}, {16,44}, {2,54}, {7,40}, {5,23}, {2,26}, {10,40}, {10,21}, {9,21}, {2,28}, {8,36}, {13,44}, {8,27}, {5,46}, {3,48}, {13,32}, {1,45}, {10,50}, {16,53}, {4,27}, {16,46}, {11,47}, {16,20}, {3,56}, {14,19}, {1,33}, {12,36}, {16,27}, {12,44}, {5,26}, {7,47}, {4,42}, {10,41}, {4,25}, {14,30}, {3,28}, {15,55}, {14,49}, {15,47}, {1,53}, {15,48}, {14,24}, {11,41}, {9,50}, {7,22}, {7,42}, {2,50}, {10,53}, {12,34}, {6,28}, {6,42}, {16,23}, {15,51}, {15,21}, {7,26}, {1,50}, {11,28}, {5,18}, {1,23}, {16,35}, {11,20}, {5,55}, {16,33}, {7,17}, {9,45}, {14,41}, {16,54}, {16,24}, {3,27}, {7,20}, {5,42}, {2,38}, {15,31}, {6,55}, {9,49}, {7,43}, {5,25}, {12,54}, {4,52}, {15,26}, {14,53}, {4,19}, {8,39}, {9,42}, {14,17}, {9,34}, {13,46}, {4,39}, {12,35}, {7,36}, {6,35}, {13,52}, {6,50}, {14,48}, {1,37}, {8,25}, {2,32}, {12,21}, {5,33}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB56.171 // Bipartite(21,35) Valencies [20,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[56][171]:={ {6,52}, {15,33}, {18,45}, {19,28}, {16,47}, {11,49}, {14,36}, {6,25}, {5,38}, {5,22}, {19,26}, {2,55}, {8,51}, {5,45}, {12,22}, {3,26}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {15,44}, {14,50}, {15,54}, {17,33}, {3,35}, {10,33}, {21,30}, {14,31}, {15,27}, {21,41}, {11,53}, {2,49}, {14,56}, {17,56}, {8,23}, {3,39}, {16,37}, {20,37}, {4,51}, {8,31}, {2,46}, {6,56}, {13,43}, {13,27}, {10,48}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {11,35}, {10,56}, {10,42}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {2,25}, {12,48}, {4,24}, {21,40}, {16,42}, {15,32}, {8,30}, {16,49}, {12,46}, {9,33}, {20,43}, {7,45}, {8,37}, {20,24}, {8,52}, {21,38}, {12,38}, {7,41}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {10,26}, {7,33}, {3,52}, {12,40}, {20,29}, {1,24}, {13,24}, {15,30}, {12,23}, {20,39}, {19,52}, {16,25}, {9,56}, {9,35}, {1,36}, {19,42}, {2,56}, {6,46}, {10,35}, {15,45}, {4,23}, {20,55}, {13,26}, {9,47}, {12,52}, {5,50}, {2,29}, {18,47}, {1,38}, {18,46}, {2,36}, {20,36}, {16,40}, {20,42}, {8,22}, {18,29}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {5,54}, {3,38}, {5,28}, {9,46}, {3,47}, {14,35}, {7,32}, {1,31}, {19,47}, {3,51}, {18,55}, {1,39}, {13,49}, {7,37}, {6,27}, {7,53}, {11,42}, {2,30}, {5,35}, {14,34}, {15,50}, {19,49}, {8,48}, {14,54}, {4,32}, {2,44}, {1,30}, {21,45}, {19,27}, {8,50}, {12,47}, {1,55}, {18,51}, {4,53}, {11,36}, {13,48}, {3,55}, {9,51}, {1,47}, {11,23}, {21,47}, {10,36}, {2,51}, {20,51}, {10,46}, {18,22}, {21,25}, {17,51}, {14,39}, {19,30}, {10,55}, {8,24}, {4,41}, {17,54}, {18,38}, {21,37}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {2,23}, {20,22}, {13,53}, {9,54}, {15,23}, {12,41}, {9,22}, {18,54}, {11,44}, {13,45}, {3,44}, {20,31}, {11,34}, {17,55}, {17,28}, {19,45}, {11,46}, {16,56}, {2,43}, {12,30}, {4,33}, {7,50}, {1,22}, {7,34}, {11,24}, {9,31}, {10,44}, {10,29}, {18,25}, {15,52}, {17,46}, {13,22}, {13,56}, {1,25}, {13,50}, {9,30}, {5,39}, {19,55}, {3,32}, {18,44}, {16,41}, {7,28}, {17,44}, {19,41}, {8,34}, {17,30}, {4,50}, {6,22}, {4,34}, {10,25}, {15,35}, {6,31}, {17,52}, {9,52}, {21,32}, {12,25}, {11,54}, {16,26}, {3,42}, {14,43}, {15,40}, {14,37}, {1,44}, {13,38}, {15,49}, {10,54}, {19,53}, {18,31}, {9,41}, {16,45}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {6,37}, {7,24}, {10,28}, {5,31}, {17,22}, {20,48}, {19,34}, {16,44}, {21,49}, {7,40}, {2,41}, {5,23}, {12,43}, {2,26}, {3,53}, {17,50}, {18,41}, {10,40}, {14,55}, {7,29}, {14,47}, {2,28}, {8,29}, {21,52}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {4,55}, {3,48}, {16,36}, {13,32}, {14,51}, {11,30}, {19,39}, {3,34}, {4,27}, {16,46}, {18,28}, {5,24}, {2,22}, {11,47}, {15,29}, {4,46}, {8,43}, {3,56}, {18,27}, {20,28}, {21,33}, {20,53}, {12,36}, {3,45}, {16,27}, {5,26}, {19,25}, {7,47}, {2,37}, {5,29}, {16,50}, {12,53}, {4,25}, {21,34}, {7,31}, {12,33}, {12,39}, {5,47}, {6,54}, {17,34}, {15,55}, {18,49}, {7,51}, {20,33}, {1,53}, {14,24}, {11,41}, {6,26}, {15,42}, {13,35}, {21,43}, {21,27}, {6,41}, {10,53}, {21,29}, {17,24}, {17,40}, {20,23}, {19,36}, {6,28}, {6,42}, {16,23}, {4,35}, {21,48}, {19,32}, {18,43}, {15,51}, {18,53}, {14,25}, {5,49}, {1,56}, {13,54}, {7,26}, {1,50}, {11,37}, {11,28}, {1,23}, {14,42}, {10,27}, {16,33}, {17,53}, {3,40}, {8,35}, {10,45}, {21,56}, {14,41}, {18,50}, {16,54}, {16,39}, {17,37}, {13,28}, {20,56}, {16,24}, {7,38}, {5,42}, {12,32}, {15,36}, {10,43}, {15,31}, {9,49}, {9,40}, {11,55}, {19,51}, {20,40}, {1,27}, {17,23}, {4,52}, {9,43}, {3,37}, {9,34}, {10,32}, {12,35}, {6,35}, {17,32}, {21,24}, {13,52}, {6,50}, {14,48}, {8,25}, {4,48}, {18,48}, {11,26}, {9,48}, {5,48}, {5,33}, {5,30}, {4,54}, {11,38}, {6,40}, {21,23} }; // ETB56.172 // Bipartite(21,35) Valencies [20,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16851429847203840000000 EdgesBipt[56][172]:={ {6,52}, {15,33}, {7,48}, {6,38}, {19,28}, {16,47}, {15,38}, {14,36}, {11,49}, {9,32}, {6,25}, {5,22}, {5,56}, {16,51}, {19,26}, {11,25}, {4,28}, {5,43}, {2,55}, {12,22}, {3,26}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {17,42}, {11,43}, {14,50}, {15,54}, {17,33}, {8,40}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {16,55}, {21,41}, {11,53}, {17,56}, {14,45}, {16,37}, {19,37}, {20,37}, {7,30}, {8,31}, {20,52}, {21,22}, {2,46}, {6,56}, {14,29}, {10,48}, {14,44}, {2,33}, {6,32}, {17,35}, {3,49}, {11,35}, {11,29}, {10,56}, {10,42}, {11,27}, {10,47}, {19,40}, {20,38}, {2,34}, {12,28}, {2,25}, {4,43}, {1,52}, {16,48}, {18,32}, {15,32}, {9,33}, {7,45}, {8,46}, {20,24}, {8,52}, {21,38}, {7,41}, {20,49}, {12,26}, {13,30}, {7,27}, {19,22}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {3,52}, {12,40}, {17,26}, {1,24}, {13,24}, {2,48}, {12,23}, {20,39}, {5,37}, {21,50}, {18,35}, {16,25}, {13,42}, {20,35}, {1,36}, {1,29}, {19,42}, {12,37}, {13,51}, {16,34}, {6,46}, {10,35}, {15,45}, {6,44}, {18,39}, {8,38}, {17,47}, {9,47}, {4,49}, {5,50}, {6,24}, {1,38}, {18,46}, {1,26}, {16,40}, {20,42}, {8,22}, {18,29}, {1,43}, {12,49}, {9,39}, {4,22}, {5,54}, {18,36}, {6,51}, {3,38}, {5,28}, {18,56}, {21,55}, {2,39}, {9,46}, {3,47}, {19,56}, {1,31}, {3,31}, {19,47}, {11,22}, {18,55}, {1,39}, {13,49}, {7,37}, {2,30}, {11,42}, {5,35}, {14,34}, {15,50}, {19,23}, {19,49}, {20,25}, {4,32}, {2,44}, {21,45}, {8,50}, {12,56}, {12,47}, {4,53}, {11,36}, {3,55}, {9,51}, {1,47}, {3,24}, {2,51}, {20,51}, {14,23}, {10,38}, {18,22}, {9,55}, {13,25}, {21,31}, {11,48}, {19,30}, {10,55}, {8,47}, {8,24}, {4,41}, {9,26}, {17,54}, {21,37}, {8,45}, {17,31}, {2,23}, {13,53}, {9,54}, {13,45}, {20,31}, {11,34}, {17,55}, {17,28}, {11,46}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {10,31}, {18,25}, {15,52}, {15,53}, {13,56}, {1,25}, {20,30}, {13,31}, {9,30}, {8,53}, {14,27}, {16,41}, {6,45}, {20,44}, {14,52}, {9,25}, {15,46}, {5,40}, {4,50}, {7,23}, {16,30}, {4,34}, {17,38}, {12,29}, {6,31}, {11,32}, {15,24}, {17,52}, {16,26}, {10,52}, {3,42}, {14,43}, {15,40}, {19,50}, {14,37}, {13,38}, {10,54}, {19,44}, {9,41}, {6,23}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {1,54}, {7,52}, {19,29}, {6,37}, {8,32}, {7,24}, {10,28}, {16,44}, {2,54}, {2,41}, {12,50}, {17,41}, {5,23}, {12,43}, {20,32}, {2,26}, {18,41}, {10,40}, {14,55}, {7,29}, {11,56}, {8,29}, {21,52}, {9,23}, {8,36}, {13,44}, {4,55}, {3,48}, {3,33}, {13,32}, {1,45}, {14,51}, {19,33}, {3,34}, {16,53}, {4,27}, {19,43}, {7,55}, {16,46}, {18,28}, {15,29}, {4,46}, {8,43}, {3,56}, {1,33}, {18,27}, {20,28}, {3,54}, {20,53}, {12,36}, {3,45}, {16,27}, {2,53}, {12,44}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {5,47}, {17,34}, {18,49}, {7,51}, {15,47}, {21,44}, {1,53}, {14,24}, {19,35}, {5,51}, {11,41}, {7,22}, {13,35}, {21,43}, {21,27}, {21,29}, {17,24}, {17,40}, {20,23}, {19,36}, {6,28}, {6,42}, {16,23}, {4,35}, {21,48}, {21,51}, {18,43}, {18,53}, {5,49}, {20,45}, {1,50}, {11,28}, {2,47}, {10,24}, {10,27}, {10,34}, {16,33}, {3,40}, {13,23}, {10,45}, {17,27}, {2,40}, {8,54}, {15,22}, {17,45}, {14,41}, {18,50}, {16,54}, {16,39}, {13,28}, {20,56}, {3,27}, {9,27}, {7,38}, {5,42}, {15,36}, {21,36}, {15,31}, {6,53}, {7,44}, {7,43}, {9,40}, {11,55}, {19,51}, {5,44}, {12,54}, {9,53}, {15,26}, {1,46}, {8,39}, {14,22}, {5,36}, {9,34}, {13,46}, {15,43}, {4,39}, {12,35}, {7,36}, {6,35}, {21,24}, {11,50}, {13,52}, {14,48}, {8,25}, {18,42}, {4,48}, {16,32}, {2,32}, {18,34}, {12,51}, {17,49}, {18,48}, {9,48}, {19,54}, {17,48}, {5,33}, {15,25}, {4,56}, {5,30}, {10,49}, {9,37}, {21,23} }; // ETB56.173 // Bipartite(21,35) Valencies [20,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1410877440 EdgesBipt[56][173]:={ {6,52}, {6,38}, {10,37}, {15,38}, {14,36}, {11,49}, {5,38}, {11,25}, {4,28}, {5,43}, {2,55}, {8,51}, {5,45}, {8,26}, {13,37}, {1,40}, {16,22}, {17,42}, {11,43}, {15,54}, {17,33}, {4,31}, {8,40}, {3,35}, {20,46}, {10,33}, {16,55}, {2,49}, {21,54}, {17,56}, {8,23}, {14,45}, {6,48}, {19,37}, {15,56}, {20,37}, {21,28}, {5,32}, {1,35}, {4,37}, {20,52}, {14,29}, {14,44}, {2,33}, {17,35}, {4,38}, {21,53}, {11,35}, {10,56}, {10,42}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {2,25}, {12,48}, {4,43}, {21,40}, {16,48}, {18,32}, {15,32}, {4,30}, {16,49}, {12,46}, {9,33}, {7,45}, {5,41}, {12,38}, {20,49}, {13,30}, {12,42}, {11,39}, {6,49}, {7,33}, {12,31}, {3,52}, {12,40}, {19,48}, {13,47}, {1,24}, {2,48}, {5,37}, {18,35}, {16,25}, {9,56}, {20,35}, {1,29}, {19,42}, {12,37}, {13,51}, {16,34}, {2,56}, {6,46}, {10,35}, {6,44}, {18,39}, {4,23}, {8,38}, {13,26}, {5,50}, {4,49}, {2,29}, {5,34}, {1,38}, {18,46}, {1,26}, {2,36}, {13,41}, {20,36}, {10,51}, {8,22}, {9,36}, {1,43}, {9,29}, {9,39}, {18,26}, {7,54}, {6,51}, {5,27}, {19,46}, {15,28}, {18,56}, {21,55}, {14,46}, {20,41}, {2,39}, {12,24}, {19,38}, {12,27}, {19,47}, {3,51}, {1,39}, {13,49}, {7,53}, {11,42}, {2,30}, {14,34}, {15,50}, {8,48}, {14,54}, {4,32}, {2,44}, {21,45}, {8,56}, {19,27}, {8,50}, {14,28}, {12,47}, {6,36}, {1,55}, {16,29}, {3,30}, {3,55}, {13,48}, {1,47}, {2,24}, {11,23}, {21,47}, {3,24}, {14,33}, {20,51}, {14,23}, {9,55}, {21,25}, {17,51}, {10,55}, {8,47}, {8,24}, {9,26}, {18,38}, {7,46}, {11,52}, {13,36}, {2,23}, {20,22}, {1,51}, {13,53}, {15,23}, {12,41}, {9,22}, {18,54}, {20,54}, {3,44}, {13,45}, {20,31}, {3,25}, {19,24}, {11,34}, {17,55}, {17,28}, {21,42}, {19,45}, {11,46}, {16,56}, {2,27}, {6,30}, {1,22}, {7,34}, {9,31}, {10,44}, {18,25}, {13,22}, {15,53}, {13,50}, {20,30}, {13,31}, {9,30}, {5,39}, {8,53}, {3,32}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {14,52}, {9,25}, {17,30}, {10,22}, {5,40}, {10,30}, {20,47}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {11,32}, {15,24}, {17,52}, {11,54}, {16,26}, {10,52}, {3,42}, {14,43}, {15,40}, {19,50}, {3,22}, {13,38}, {18,31}, {14,40}, {1,48}, {7,49}, {9,41}, {16,31}, {3,41}, {15,39}, {1,32}, {9,44}, {1,54}, {7,52}, {19,29}, {6,37}, {8,32}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {20,48}, {19,34}, {16,44}, {21,49}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {2,26}, {17,50}, {10,40}, {14,55}, {7,29}, {11,56}, {14,47}, {18,30}, {8,29}, {21,52}, {9,23}, {13,44}, {21,46}, {5,46}, {6,47}, {3,33}, {16,36}, {10,50}, {20,50}, {14,51}, {11,30}, {3,50}, {19,33}, {19,39}, {16,53}, {4,27}, {19,43}, {7,55}, {18,28}, {5,24}, {2,22}, {15,29}, {4,46}, {18,52}, {8,43}, {3,56}, {2,31}, {18,27}, {21,33}, {20,53}, {12,36}, {3,45}, {16,27}, {2,53}, {7,47}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {21,34}, {12,33}, {12,39}, {5,47}, {6,54}, {15,55}, {18,49}, {7,51}, {14,49}, {15,47}, {11,31}, {21,44}, {1,53}, {15,48}, {7,25}, {6,26}, {13,35}, {21,43}, {7,42}, {6,41}, {21,29}, {17,24}, {17,40}, {12,34}, {19,36}, {16,23}, {18,23}, {4,35}, {21,51}, {19,32}, {18,43}, {15,51}, {14,25}, {1,56}, {13,54}, {20,45}, {1,50}, {11,37}, {11,28}, {1,23}, {8,55}, {10,24}, {14,42}, {10,27}, {16,33}, {3,40}, {8,35}, {10,45}, {17,27}, {8,54}, {15,22}, {17,45}, {4,26}, {16,39}, {17,37}, {1,28}, {16,24}, {3,27}, {9,27}, {5,42}, {12,32}, {21,36}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,53}, {4,52}, {15,26}, {14,53}, {3,37}, {8,39}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {6,35}, {17,32}, {13,52}, {6,50}, {18,42}, {18,34}, {11,26}, {9,48}, {5,48}, {5,33}, {18,37}, {4,56}, {4,54}, {11,38}, {21,23} }; // ETB56.174 // Bipartite(7,49) Valencies [21,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13877877090655792005120000000 EdgesBipt[56][174]:={ {1,15}, {4,35}, {7,42}, {7,48}, {1,43}, {2,38}, {4,42}, {6,10}, {4,14}, {1,11}, {6,14}, {3,38}, {5,50}, {6,36}, {3,46}, {6,17}, {1,46}, {4,40}, {3,53}, {5,34}, {1,25}, {4,49}, {2,47}, {2,37}, {3,32}, {1,9}, {5,41}, {6,50}, {2,33}, {7,27}, {1,44}, {1,32}, {7,23}, {3,45}, {5,13}, {7,51}, {3,10}, {3,34}, {6,45}, {3,31}, {2,19}, {4,26}, {5,26}, {7,56}, {6,22}, {3,55}, {1,29}, {4,12}, {3,48}, {3,18}, {3,41}, {7,28}, {6,43}, {3,11}, {5,33}, {2,10}, {2,52}, {2,31}, {2,23}, {6,49}, {7,41}, {4,46}, {4,39}, {1,36}, {3,13}, {2,16}, {1,22}, {1,16}, {6,21}, {4,33}, {2,17}, {4,28}, {1,50}, {4,53}, {5,43}, {5,55}, {5,19}, {5,15}, {6,8}, {7,20}, {7,13}, {5,29}, {7,14}, {3,27}, {6,15}, {7,49}, {2,40}, {4,21}, {7,30}, {4,25}, {2,9}, {1,53}, {2,44}, {6,29}, {7,35}, {6,52}, {2,24}, {6,31}, {4,11}, {5,22}, {3,52}, {1,23}, {6,56}, {2,54}, {5,27}, {5,8}, {1,39}, {6,38}, {7,44}, {2,12}, {5,20}, {5,47}, {5,36}, {3,24}, {4,56}, {2,51}, {5,48}, {7,16}, {1,51}, {7,9}, {4,32}, {6,42}, {3,39}, {1,37}, {4,54}, {4,18}, {3,25}, {2,26}, {7,37}, {3,20}, {7,21}, {5,12}, {3,17}, {6,24}, {6,35}, {4,47}, {7,34}, {1,8}, {1,30}, {2,30}, {7,55}, {1,18}, {4,19}, {5,40}, {5,54}, {2,45}, {6,28} }; // ETB56.175 // Bipartite(28,28) Valencies [21,21] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 19984143010544340487372800000000 EdgesBipt[56][175]:={ {26,53}, {3,42}, {26,54}, {26,50}, {13,40}, {24,33}, {11,42}, {20,33}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {28,56}, {26,33}, {27,55}, {17,56}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {17,54}, {18,51}, {3,47}, {11,52}, {11,34}, {3,55}, {15,54}, {10,54}, {2,39}, {18,38}, {15,50}, {1,32}, {19,51}, {8,36}, {17,29}, {18,49}, {23,56}, {9,49}, {10,29}, {24,52}, {12,52}, {22,51}, {12,32}, {2,30}, {28,29}, {5,56}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {2,38}, {4,52}, {6,34}, {1,49}, {11,39}, {24,39}, {7,54}, {16,33}, {19,38}, {8,44}, {25,49}, {26,46}, {13,29}, {13,48}, {26,47}, {18,37}, {25,29}, {25,32}, {20,29}, {10,42}, {28,45}, {9,41}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {11,31}, {18,29}, {19,30}, {22,29}, {8,52}, {1,53}, {28,43}, {16,51}, {17,42}, {11,47}, {18,50}, {12,35}, {12,48}, {11,36}, {28,44}, {19,54}, {19,40}, {24,48}, {10,51}, {15,51}, {5,53}, {13,53}, {28,49}, {27,32}, {28,32}, {18,54}, {25,56}, {25,41}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {22,45}, {15,43}, {27,56}, {11,44}, {13,33}, {18,35}, {20,32}, {18,31}, {14,51}, {3,51}, {18,42}, {5,46}, {18,55}, {15,34}, {12,44}, {8,35}, {11,38}, {1,50}, {24,44}, {20,39}, {5,33}, {4,39}, {12,56}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {19,31}, {22,41}, {4,45}, {28,39}, {11,56}, {20,43}, {4,44}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {28,52}, {21,37}, {3,50}, {25,38}, {27,51}, {1,29}, {26,37}, {2,34}, {15,55}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,40}, {16,55}, {25,33}, {9,37}, {27,38}, {17,53}, {24,49}, {19,44}, {22,46}, {24,55}, {9,52}, {9,29}, {23,46}, {4,33}, {15,40}, {21,34}, {18,34}, {2,55}, {1,44}, {10,31}, {22,38}, {8,56}, {19,32}, {21,45}, {19,52}, {3,43}, {16,48}, {3,36}, {17,46}, {7,42}, {9,54}, {11,50}, {6,43}, {26,31}, {12,47}, {21,56}, {12,49}, {2,51}, {6,37}, {28,40}, {23,32}, {26,35}, {7,36}, {10,46}, {22,33}, {14,37}, {7,43}, {20,31}, {8,33}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {8,55}, {16,37}, {1,54}, {13,32}, {17,36}, {26,39}, {21,29}, {12,45}, {15,36}, {16,29}, {8,41}, {28,37}, {15,42}, {13,46}, {17,50}, {11,51}, {6,53}, {25,52}, {27,48}, {15,30}, {27,54}, {4,40}, {23,38}, {16,36}, {6,45}, {18,43}, {7,40}, {17,37}, {10,37}, {25,36}, {2,42}, {9,46}, {24,51}, {7,55}, {7,35}, {27,47}, {23,48}, {14,41}, {4,29}, {27,40}, {5,34}, {26,34}, {1,30}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {20,37}, {1,34}, {4,47}, {24,35}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,30}, {27,34}, {18,30}, {6,50}, {28,31}, {1,40}, {28,35}, {19,56}, {8,29}, {1,48}, {15,44}, {8,51}, {25,40}, {19,36}, {9,34}, {16,41}, {16,52}, {17,44}, {2,33}, {15,31}, {10,35}, {24,47}, {6,55}, {27,46}, {4,32}, {19,39}, {21,53}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {19,55}, {16,40}, {26,41}, {6,51}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {12,53}, {23,40}, {4,51}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {7,48}, {5,49}, {11,43}, {3,52}, {20,51}, {2,53}, {28,48}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {18,46}, {23,51}, {1,45}, {16,56}, {10,30}, {6,42}, {7,32}, {13,38}, {22,54}, {12,51}, {7,44}, {25,34}, {27,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {28,51}, {22,50}, {26,38}, {3,56}, {27,52}, {16,39}, {1,38}, {5,37}, {3,44}, {2,29}, {25,50}, {25,54}, {1,36}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {11,55}, {23,35}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {28,41}, {7,39}, {9,38}, {1,33}, {6,33}, {14,55}, {22,34}, {27,30}, {15,52}, {19,48}, {9,36}, {18,47}, {21,41}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {27,39}, {6,30}, {20,56}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {21,32}, {24,40}, {26,42}, {23,30}, {22,31}, {20,47}, {28,55}, {16,45}, {22,35}, {7,50}, {12,43}, {26,29}, {19,34}, {28,36}, {10,45}, {23,42}, {2,54}, {21,49}, {3,40}, {27,43}, {22,42}, {12,36}, {27,31}, {13,49}, {26,51}, {28,53}, {15,56}, {27,35}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {27,42}, {24,41}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {13,45}, {26,45}, {4,37}, {28,33}, {12,29}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {25,53}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.176 // Bipartite(12,44) Valencies [22,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26321937929426910803971276800000000 EdgesBipt[56][176]:={ {5,17}, {1,20}, {10,25}, {11,20}, {9,28}, {2,33}, {11,36}, {4,27}, {2,46}, {7,15}, {11,35}, {11,56}, {4,26}, {12,51}, {3,40}, {10,37}, {1,56}, {4,50}, {4,30}, {8,30}, {7,48}, {6,17}, {1,13}, {8,43}, {9,45}, {12,22}, {7,55}, {8,42}, {8,54}, {1,32}, {3,43}, {3,15}, {12,38}, {7,44}, {1,40}, {10,26}, {5,56}, {4,19}, {9,44}, {12,39}, {4,31}, {9,49}, {10,33}, {12,42}, {3,35}, {12,55}, {5,20}, {2,26}, {8,39}, {1,21}, {7,51}, {12,35}, {7,36}, {3,52}, {2,41}, {9,53}, {12,34}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {2,54}, {12,50}, {2,42}, {10,22}, {10,53}, {6,22}, {11,28}, {10,30}, {6,29}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {2,34}, {1,17}, {9,48}, {7,56}, {4,22}, {8,19}, {9,29}, {10,38}, {7,20}, {9,32}, {1,44}, {5,29}, {2,38}, {8,47}, {12,46}, {2,37}, {8,14}, {11,51}, {7,39}, {4,42}, {5,25}, {9,41}, {7,32}, {11,15}, {3,56}, {10,54}, {10,41}, {2,53}, {7,43}, {11,31}, {11,44}, {3,44}, {6,30}, {4,47}, {10,29}, {3,20}, {6,49}, {3,51}, {2,13}, {10,21}, {6,18}, {12,43}, {1,29}, {3,39}, {3,32}, {4,35}, {9,25}, {7,16}, {6,33}, {6,50}, {11,23}, {6,46}, {9,56}, {5,24}, {9,37}, {12,47}, {5,49}, {1,45}, {8,22}, {5,48}, {8,35}, {10,42}, {4,55}, {9,20}, {4,15}, {1,28}, {3,27}, {4,54}, {10,46}, {4,43}, {1,33}, {10,13}, {10,45}, {4,46}, {5,28}, {8,26}, {1,52}, {12,26}, {7,31}, {5,41}, {2,17}, {7,47}, {9,13}, {12,27}, {9,40}, {11,52}, {3,19}, {1,24}, {12,23}, {11,24}, {1,49}, {5,44}, {11,39}, {6,26}, {12,19}, {12,30}, {3,23}, {8,23}, {11,55}, {12,14}, {5,36}, {1,25}, {6,54}, {1,53}, {6,41}, {12,15}, {6,14}, {1,37}, {7,28}, {3,16}, {6,42}, {7,23}, {11,16}, {2,21}, {5,33}, {8,34}, {10,17}, {4,51}, {3,24}, {2,29}, {11,27}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {8,50}, {10,34}, {11,32}, {9,17}, {10,18}, {6,25}, {10,49}, {6,38}, {10,50}, {11,40}, {9,33}, {9,36}, {6,34}, {3,55}, {11,47}, {8,55}, {8,18}, {4,18}, {11,19}, {9,52}, {11,48}, {5,13}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {1,48}, {7,24}, {3,31}, {9,24}, {8,51}, {6,37}, {12,31}, {3,47}, {10,14}, {7,35}, {11,43}, {5,21}, {2,30}, {6,53}, {6,13}, {2,18}, {7,52}, {5,37}, {7,19}, {3,36}, {9,16}, {9,21}, {4,39}, {12,54}, {7,40}, {5,52}, {12,18}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB56.177 // Bipartite(12,44) Valencies [22,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3899546359915097896884633600000000 EdgesBipt[56][177]:={ {6,48}, {3,33}, {10,24}, {11,20}, {6,32}, {6,16}, {11,36}, {2,46}, {12,29}, {11,35}, {11,56}, {4,24}, {4,26}, {4,16}, {12,45}, {4,30}, {4,50}, {12,56}, {8,30}, {6,17}, {4,56}, {2,23}, {1,13}, {5,55}, {8,43}, {2,51}, {9,45}, {12,32}, {7,38}, {8,42}, {8,54}, {9,55}, {3,45}, {3,13}, {3,43}, {3,25}, {3,15}, {7,41}, {7,54}, {10,26}, {2,15}, {5,56}, {7,22}, {2,19}, {12,41}, {9,49}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {9,43}, {2,26}, {7,34}, {8,39}, {1,21}, {10,44}, {9,53}, {2,14}, {1,30}, {5,32}, {8,15}, {9,35}, {8,27}, {8,31}, {12,37}, {2,54}, {2,42}, {10,22}, {11,28}, {10,30}, {6,29}, {3,17}, {4,38}, {6,21}, {5,40}, {10,48}, {6,40}, {1,38}, {2,34}, {1,17}, {1,50}, {9,47}, {4,22}, {3,49}, {8,19}, {9,29}, {10,38}, {1,18}, {12,17}, {9,27}, {12,20}, {12,36}, {2,38}, {8,47}, {9,19}, {12,49}, {10,52}, {5,43}, {12,44}, {8,14}, {7,46}, {11,51}, {4,42}, {9,41}, {2,39}, {11,15}, {10,54}, {7,49}, {7,13}, {7,25}, {10,28}, {11,31}, {2,35}, {11,44}, {1,22}, {12,13}, {12,16}, {5,23}, {6,49}, {3,51}, {4,52}, {10,40}, {1,29}, {7,50}, {7,30}, {3,39}, {7,53}, {9,25}, {7,26}, {6,33}, {11,23}, {6,24}, {6,44}, {7,17}, {5,24}, {9,37}, {4,48}, {12,28}, {12,25}, {1,45}, {8,22}, {5,48}, {6,56}, {8,35}, {10,42}, {7,14}, {3,27}, {9,51}, {4,54}, {10,46}, {4,28}, {1,33}, {3,29}, {4,46}, {5,28}, {8,26}, {12,33}, {4,36}, {9,13}, {11,52}, {1,42}, {3,19}, {5,31}, {11,24}, {1,49}, {5,44}, {11,39}, {12,40}, {12,53}, {3,23}, {8,23}, {10,32}, {11,55}, {5,36}, {3,21}, {1,25}, {1,46}, {5,51}, {1,53}, {7,29}, {6,41}, {6,28}, {1,37}, {5,39}, {3,53}, {4,40}, {11,16}, {6,36}, {8,34}, {11,27}, {6,45}, {8,38}, {1,26}, {2,22}, {4,34}, {10,36}, {4,14}, {8,50}, {10,34}, {11,32}, {9,17}, {10,18}, {2,47}, {6,25}, {2,31}, {10,50}, {11,40}, {9,33}, {12,52}, {3,55}, {11,47}, {5,27}, {8,55}, {8,18}, {4,18}, {6,52}, {9,39}, {10,56}, {11,19}, {12,48}, {4,20}, {11,48}, {12,24}, {7,45}, {8,46}, {1,41}, {3,41}, {3,31}, {1,14}, {8,51}, {10,20}, {2,55}, {5,15}, {7,33}, {6,37}, {3,47}, {10,14}, {5,19}, {6,20}, {11,43}, {6,53}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {1,54}, {2,18}, {1,34}, {9,31}, {2,43}, {9,21}, {7,42}, {4,44}, {9,23}, {7,21}, {5,52}, {4,32}, {12,21}, {2,50}, {7,18}, {10,16}, {5,16} }; // ETB56.178 // Bipartite(12,44) Valencies [22,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33218887680 EdgesBipt[56][178]:={ {6,48}, {11,17}, {11,53}, {5,17}, {10,24}, {10,25}, {11,20}, {2,33}, {11,36}, {12,29}, {7,15}, {11,35}, {12,51}, {3,40}, {4,16}, {1,56}, {4,30}, {11,25}, {8,30}, {7,48}, {4,56}, {1,13}, {9,45}, {12,32}, {8,54}, {8,28}, {4,29}, {9,55}, {1,32}, {1,27}, {10,23}, {7,41}, {1,40}, {7,54}, {2,15}, {9,44}, {12,39}, {2,19}, {8,52}, {12,41}, {10,33}, {12,55}, {5,20}, {9,43}, {2,26}, {7,34}, {8,39}, {1,21}, {11,14}, {7,36}, {2,41}, {2,28}, {1,30}, {8,15}, {8,44}, {8,31}, {12,37}, {2,42}, {10,53}, {6,22}, {3,18}, {10,30}, {6,29}, {8,16}, {4,38}, {3,34}, {3,46}, {6,31}, {9,48}, {7,56}, {1,50}, {9,47}, {4,22}, {9,29}, {10,38}, {1,18}, {3,14}, {10,47}, {1,55}, {9,32}, {5,50}, {12,17}, {9,26}, {1,44}, {5,29}, {2,38}, {11,49}, {2,37}, {12,49}, {10,52}, {5,43}, {8,14}, {8,45}, {4,42}, {2,39}, {7,32}, {11,13}, {3,56}, {10,41}, {7,49}, {11,22}, {7,13}, {7,43}, {7,25}, {11,31}, {2,35}, {11,44}, {1,22}, {6,55}, {4,47}, {5,23}, {4,21}, {9,54}, {10,31}, {6,49}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {8,17}, {2,16}, {3,32}, {9,25}, {7,26}, {6,33}, {8,36}, {6,50}, {5,30}, {6,44}, {5,24}, {12,47}, {5,46}, {8,53}, {5,49}, {12,25}, {8,13}, {8,22}, {6,56}, {8,35}, {10,42}, {5,14}, {4,15}, {1,28}, {7,14}, {3,50}, {9,51}, {10,46}, {4,43}, {1,33}, {10,13}, {10,45}, {3,29}, {6,23}, {1,43}, {3,26}, {8,37}, {5,28}, {5,42}, {1,52}, {9,22}, {12,33}, {6,15}, {5,41}, {4,36}, {2,17}, {10,55}, {6,51}, {7,47}, {12,27}, {8,32}, {3,19}, {1,24}, {6,27}, {11,24}, {1,49}, {11,39}, {6,26}, {12,19}, {12,40}, {12,53}, {12,30}, {8,23}, {5,36}, {1,46}, {11,46}, {5,51}, {6,28}, {12,15}, {1,35}, {5,39}, {3,16}, {4,37}, {6,42}, {11,26}, {3,53}, {4,40}, {10,35}, {7,23}, {2,21}, {4,51}, {3,24}, {11,27}, {6,45}, {8,38}, {4,34}, {4,14}, {3,48}, {8,50}, {10,34}, {9,17}, {2,40}, {11,40}, {9,33}, {12,52}, {6,34}, {11,47}, {5,27}, {4,18}, {9,39}, {9,38}, {10,56}, {4,25}, {10,19}, {3,38}, {4,20}, {11,48}, {3,28}, {7,27}, {7,45}, {5,45}, {3,41}, {3,54}, {3,31}, {9,24}, {9,46}, {10,20}, {2,55}, {6,37}, {12,31}, {5,19}, {6,20}, {7,35}, {5,21}, {6,53}, {7,37}, {2,18}, {1,54}, {1,34}, {7,19}, {2,43}, {3,36}, {9,16}, {9,21}, {11,42}, {12,54}, {4,44}, {9,23}, {7,21}, {5,52}, {12,18}, {11,18}, {2,50}, {10,16} }; // ETB56.179 // Bipartite(8,48) Valencies [24,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6738416109933289165816646860800000000 EdgesBipt[56][179]:={ {5,17}, {1,20}, {2,33}, {4,27}, {2,46}, {7,15}, {4,26}, {3,40}, {1,56}, {4,50}, {4,30}, {8,30}, {6,17}, {7,48}, {1,13}, {8,43}, {7,55}, {8,42}, {8,54}, {1,32}, {3,43}, {3,15}, {7,44}, {1,40}, {5,56}, {4,19}, {4,31}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {7,51}, {2,9}, {7,36}, {3,52}, {8,10}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {2,54}, {2,42}, {6,22}, {6,29}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {7,12}, {4,10}, {2,34}, {1,17}, {7,56}, {4,22}, {8,19}, {7,11}, {7,20}, {1,44}, {5,29}, {2,10}, {2,38}, {8,47}, {2,37}, {8,14}, {4,42}, {7,39}, {5,25}, {7,32}, {3,56}, {3,12}, {2,53}, {7,43}, {3,44}, {6,30}, {4,47}, {3,20}, {6,49}, {3,51}, {2,13}, {6,18}, {1,29}, {3,39}, {3,32}, {4,35}, {7,16}, {6,33}, {1,12}, {6,50}, {6,46}, {8,11}, {5,24}, {5,49}, {1,45}, {8,22}, {1,9}, {5,48}, {8,35}, {4,55}, {4,15}, {1,28}, {3,11}, {3,27}, {4,54}, {4,43}, {1,33}, {4,46}, {5,28}, {8,26}, {1,52}, {7,31}, {5,41}, {2,17}, {7,47}, {5,12}, {3,19}, {1,24}, {1,49}, {5,44}, {6,26}, {3,23}, {8,23}, {5,36}, {1,25}, {6,9}, {6,54}, {1,53}, {6,41}, {6,14}, {1,37}, {7,28}, {3,16}, {6,42}, {7,23}, {2,21}, {5,33}, {8,34}, {4,51}, {3,24}, {2,29}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {8,50}, {6,25}, {6,38}, {6,34}, {6,10}, {3,55}, {8,55}, {8,18}, {4,18}, {5,9}, {4,11}, {5,13}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {1,48}, {7,24}, {3,31}, {8,51}, {6,37}, {3,47}, {7,35}, {5,21}, {2,30}, {6,53}, {6,13}, {2,18}, {7,52}, {5,37}, {7,19}, {3,36}, {4,39}, {7,40}, {5,52}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB56.180 // Bipartite(8,48) Valencies [24,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1649887624513774122172416000000 EdgesBipt[56][180]:={ {6,48}, {8,48}, {1,11}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {2,46}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {1,56}, {4,50}, {4,30}, {8,30}, {4,56}, {8,43}, {5,38}, {2,51}, {7,55}, {8,42}, {8,54}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {7,41}, {2,15}, {4,19}, {5,56}, {7,22}, {4,31}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {7,34}, {1,21}, {2,9}, {3,52}, {8,25}, {2,28}, {5,32}, {8,44}, {8,31}, {2,54}, {2,42}, {6,22}, {3,17}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,40}, {1,38}, {2,34}, {1,17}, {2,36}, {1,50}, {3,49}, {8,19}, {7,11}, {5,50}, {5,11}, {1,44}, {5,29}, {2,10}, {2,52}, {8,14}, {7,46}, {4,42}, {2,39}, {7,49}, {7,13}, {7,25}, {7,43}, {6,12}, {1,51}, {6,30}, {5,23}, {6,18}, {2,48}, {1,29}, {2,16}, {7,53}, {7,16}, {6,33}, {8,36}, {1,23}, {6,24}, {7,17}, {6,46}, {4,48}, {1,45}, {8,13}, {1,9}, {8,56}, {5,14}, {4,55}, {4,13}, {3,11}, {4,54}, {4,43}, {1,33}, {3,29}, {3,10}, {8,37}, {8,26}, {7,31}, {6,15}, {5,41}, {4,36}, {6,51}, {7,47}, {8,32}, {3,19}, {6,27}, {5,44}, {3,23}, {1,39}, {6,9}, {6,54}, {5,51}, {1,53}, {7,29}, {1,15}, {6,28}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {3,53}, {7,23}, {6,36}, {2,21}, {5,33}, {6,45}, {8,38}, {1,26}, {2,22}, {4,14}, {8,50}, {8,24}, {1,47}, {4,49}, {2,40}, {6,34}, {6,10}, {3,55}, {5,27}, {8,49}, {8,55}, {5,26}, {8,18}, {4,18}, {5,9}, {6,52}, {4,25}, {4,12}, {4,20}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {3,41}, {3,31}, {2,12}, {1,14}, {6,39}, {5,15}, {3,47}, {7,35}, {5,21}, {2,30}, {7,37}, {5,35}, {2,18}, {7,52}, {7,19}, {7,40}, {4,44}, {4,32}, {5,53} }; // ETB56.181 // Bipartite(8,48) Valencies [24,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 206235953064221765271552000000 EdgesBipt[56][181]:={ {6,48}, {2,44}, {8,48}, {1,11}, {3,33}, {5,17}, {2,33}, {6,16}, {4,27}, {8,12}, {4,26}, {3,22}, {2,56}, {3,40}, {4,16}, {4,50}, {8,30}, {6,17}, {4,56}, {7,48}, {5,55}, {1,13}, {2,51}, {7,55}, {7,38}, {3,9}, {8,42}, {8,54}, {8,28}, {3,45}, {1,27}, {3,15}, {7,44}, {7,54}, {2,15}, {2,19}, {8,52}, {1,19}, {2,27}, {3,35}, {5,47}, {2,26}, {1,21}, {2,9}, {7,36}, {3,52}, {8,10}, {2,14}, {6,11}, {8,44}, {6,22}, {6,29}, {3,17}, {8,16}, {2,45}, {4,38}, {6,47}, {3,34}, {7,12}, {2,25}, {3,46}, {6,40}, {4,10}, {1,17}, {7,56}, {4,22}, {7,20}, {1,55}, {5,11}, {5,29}, {2,38}, {2,37}, {5,43}, {8,14}, {5,25}, {2,39}, {7,32}, {1,31}, {4,45}, {7,49}, {7,13}, {7,43}, {7,25}, {6,12}, {1,51}, {6,30}, {4,33}, {5,23}, {4,21}, {3,51}, {2,13}, {2,20}, {6,18}, {4,52}, {1,29}, {7,30}, {7,50}, {3,39}, {7,26}, {2,32}, {8,36}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {5,49}, {1,45}, {8,22}, {1,9}, {5,48}, {8,56}, {4,15}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {3,29}, {3,10}, {6,23}, {1,43}, {4,46}, {8,26}, {5,42}, {7,31}, {5,41}, {5,12}, {5,54}, {8,32}, {4,9}, {5,31}, {1,49}, {8,40}, {3,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,54}, {1,53}, {6,41}, {1,15}, {6,28}, {1,35}, {1,37}, {3,16}, {6,42}, {3,53}, {4,40}, {6,36}, {2,21}, {8,34}, {4,51}, {8,38}, {4,34}, {4,14}, {8,50}, {8,24}, {1,47}, {2,31}, {6,34}, {6,10}, {8,18}, {6,52}, {4,20}, {5,13}, {3,28}, {8,20}, {8,46}, {1,41}, {3,41}, {7,24}, {2,55}, {3,47}, {5,19}, {6,53}, {7,37}, {5,35}, {5,37}, {7,19}, {2,43}, {6,35}, {4,39}, {7,42}, {4,44}, {4,32}, {5,53}, {2,50}, {2,49}, {7,18} }; // ETB56.182 // Bipartite(8,48) Valencies [24,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13866319417127731200000000 EdgesBipt[56][182]:={ {2,24}, {1,20}, {2,33}, {4,27}, {2,46}, {7,15}, {5,34}, {4,24}, {3,22}, {2,56}, {4,16}, {4,53}, {1,56}, {8,30}, {6,17}, {4,56}, {7,48}, {5,55}, {8,9}, {7,55}, {7,38}, {8,42}, {8,54}, {4,29}, {1,32}, {3,13}, {3,45}, {8,33}, {3,43}, {1,40}, {7,54}, {4,19}, {7,22}, {3,35}, {5,47}, {5,20}, {3,37}, {8,39}, {7,51}, {2,9}, {8,10}, {8,25}, {2,41}, {2,14}, {8,15}, {8,31}, {2,54}, {3,18}, {6,29}, {2,45}, {6,21}, {3,34}, {2,25}, {3,46}, {1,17}, {7,56}, {7,11}, {3,14}, {1,55}, {5,50}, {5,11}, {1,44}, {8,41}, {2,38}, {8,47}, {2,37}, {5,43}, {8,14}, {7,46}, {7,39}, {7,32}, {1,31}, {4,45}, {2,53}, {7,43}, {6,12}, {5,23}, {4,21}, {6,49}, {3,51}, {2,13}, {6,18}, {2,48}, {4,52}, {7,30}, {8,17}, {2,16}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {5,18}, {6,50}, {1,23}, {6,44}, {4,48}, {8,22}, {1,9}, {1,28}, {4,13}, {3,11}, {7,14}, {3,50}, {3,27}, {4,28}, {1,33}, {4,43}, {3,29}, {3,10}, {3,26}, {5,28}, {8,26}, {5,42}, {1,52}, {7,31}, {2,17}, {4,36}, {7,47}, {5,12}, {3,19}, {1,24}, {5,31}, {1,49}, {5,44}, {6,26}, {8,23}, {1,39}, {5,36}, {3,21}, {1,25}, {6,9}, {5,51}, {6,41}, {1,15}, {6,28}, {5,39}, {4,37}, {6,42}, {3,53}, {4,40}, {7,23}, {6,36}, {2,21}, {3,30}, {8,34}, {4,51}, {2,29}, {6,45}, {8,38}, {2,22}, {1,16}, {8,50}, {6,25}, {1,47}, {2,40}, {6,34}, {6,10}, {5,27}, {5,10}, {8,49}, {8,55}, {5,26}, {8,18}, {3,42}, {6,52}, {3,38}, {4,11}, {4,12}, {4,20}, {7,27}, {8,46}, {1,41}, {1,48}, {7,24}, {3,54}, {5,15}, {6,37}, {5,19}, {6,20}, {7,35}, {6,53}, {2,30}, {6,13}, {5,35}, {7,19}, {7,40}, {4,44}, {5,52}, {4,32}, {1,36}, {2,49} }; // ETB56.183 // Bipartite(8,48) Valencies [24,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1083306204463104 EdgesBipt[56][183]:={ {6,48}, {8,48}, {5,17}, {1,20}, {6,32}, {6,16}, {4,27}, {2,46}, {7,15}, {4,24}, {4,26}, {3,22}, {1,10}, {4,53}, {1,56}, {8,30}, {6,17}, {4,56}, {2,23}, {5,55}, {8,9}, {7,55}, {3,9}, {8,54}, {3,45}, {3,13}, {8,33}, {3,43}, {3,25}, {7,44}, {1,40}, {2,15}, {4,19}, {1,19}, {3,35}, {3,37}, {2,26}, {7,34}, {3,52}, {8,25}, {2,14}, {5,32}, {6,11}, {8,15}, {4,23}, {8,31}, {2,54}, {2,42}, {8,16}, {2,45}, {7,12}, {6,40}, {1,38}, {4,10}, {2,36}, {1,50}, {7,56}, {1,18}, {5,11}, {2,10}, {5,29}, {8,41}, {2,38}, {8,47}, {2,37}, {2,52}, {5,43}, {8,14}, {7,46}, {8,45}, {4,42}, {7,39}, {2,39}, {1,31}, {7,49}, {2,53}, {1,22}, {6,12}, {1,51}, {6,43}, {5,23}, {4,21}, {3,20}, {6,49}, {3,51}, {2,13}, {2,20}, {6,18}, {4,52}, {7,30}, {7,50}, {8,17}, {3,32}, {4,35}, {6,33}, {7,26}, {6,50}, {6,24}, {5,30}, {6,44}, {7,17}, {5,46}, {5,49}, {8,13}, {8,22}, {1,9}, {5,48}, {6,56}, {5,14}, {4,55}, {3,11}, {7,14}, {3,27}, {4,28}, {4,43}, {3,29}, {5,28}, {1,52}, {7,31}, {4,36}, {6,51}, {7,47}, {5,12}, {8,32}, {1,42}, {3,19}, {1,24}, {6,27}, {5,44}, {3,21}, {1,25}, {6,19}, {6,9}, {6,41}, {1,15}, {6,28}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {3,53}, {4,40}, {7,23}, {2,21}, {5,33}, {8,34}, {4,51}, {2,29}, {8,38}, {1,26}, {2,22}, {3,48}, {8,50}, {2,47}, {6,25}, {1,47}, {2,31}, {6,34}, {5,27}, {8,49}, {8,18}, {3,38}, {4,11}, {4,12}, {4,20}, {5,13}, {7,10}, {8,46}, {1,41}, {5,45}, {3,41}, {3,54}, {7,24}, {2,55}, {7,33}, {5,21}, {2,30}, {1,54}, {1,34}, {5,37}, {6,35}, {3,36}, {4,39}, {7,40}, {4,44}, {7,42}, {8,29}, {1,36}, {5,53}, {7,18}, {5,16} }; // ETB56.184 // Bipartite(8,48) Valencies [24,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7011906707722862592 EdgesBipt[56][184]:={ {2,44}, {2,24}, {5,17}, {2,33}, {6,16}, {6,32}, {4,27}, {4,24}, {3,22}, {2,56}, {3,40}, {4,30}, {8,30}, {4,56}, {7,48}, {2,23}, {1,13}, {5,55}, {5,38}, {7,55}, {8,42}, {8,54}, {1,27}, {3,43}, {3,15}, {7,41}, {7,22}, {1,19}, {3,35}, {5,47}, {7,34}, {1,21}, {2,9}, {7,36}, {3,52}, {8,10}, {8,25}, {2,41}, {2,28}, {1,30}, {4,23}, {8,44}, {2,45}, {6,21}, {3,34}, {7,12}, {3,46}, {6,40}, {4,10}, {2,36}, {4,22}, {1,18}, {3,14}, {1,55}, {5,50}, {5,11}, {5,29}, {8,41}, {2,52}, {5,43}, {8,14}, {7,46}, {4,42}, {1,31}, {7,49}, {7,13}, {2,53}, {7,25}, {7,43}, {2,35}, {1,51}, {4,47}, {5,23}, {6,49}, {3,51}, {2,20}, {2,48}, {8,17}, {2,16}, {3,39}, {7,53}, {4,35}, {7,16}, {2,32}, {1,12}, {6,33}, {5,18}, {6,50}, {5,30}, {6,44}, {7,17}, {4,48}, {8,53}, {1,45}, {8,13}, {8,22}, {1,9}, {6,56}, {8,56}, {5,14}, {4,15}, {3,11}, {3,50}, {3,27}, {4,54}, {1,33}, {3,10}, {1,43}, {3,26}, {4,46}, {8,37}, {8,26}, {5,42}, {7,31}, {6,15}, {5,41}, {4,36}, {2,17}, {6,51}, {5,54}, {8,32}, {1,42}, {3,19}, {1,24}, {5,31}, {6,27}, {1,49}, {6,26}, {3,23}, {1,39}, {1,25}, {6,9}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {1,37}, {7,28}, {3,16}, {2,21}, {5,33}, {8,34}, {4,51}, {2,29}, {6,45}, {8,38}, {4,34}, {8,50}, {2,47}, {6,25}, {6,38}, {2,40}, {3,55}, {8,49}, {5,26}, {8,18}, {4,18}, {5,9}, {6,52}, {3,38}, {4,11}, {4,12}, {4,20}, {3,28}, {8,20}, {7,10}, {8,46}, {5,45}, {1,48}, {3,31}, {7,24}, {2,12}, {6,39}, {6,37}, {3,47}, {5,19}, {6,20}, {5,21}, {6,13}, {7,37}, {5,35}, {1,54}, {7,52}, {7,19}, {4,39}, {7,40}, {4,44}, {8,29}, {4,32}, {1,36}, {5,53} }; // ETB56.185 // Bipartite(8,48) Valencies [24,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3221225472 EdgesBipt[56][185]:={ {6,48}, {2,24}, {1,20}, {2,33}, {4,24}, {4,26}, {3,22}, {2,56}, {1,56}, {4,50}, {8,30}, {5,55}, {8,43}, {2,51}, {7,38}, {8,42}, {8,54}, {8,28}, {1,32}, {3,13}, {3,45}, {7,41}, {1,40}, {7,54}, {2,15}, {5,56}, {7,22}, {8,52}, {1,19}, {2,27}, {3,35}, {5,20}, {3,37}, {7,34}, {7,51}, {2,9}, {8,10}, {8,25}, {2,28}, {2,14}, {5,32}, {4,23}, {8,27}, {6,22}, {6,29}, {8,16}, {2,45}, {4,38}, {6,21}, {3,34}, {5,40}, {2,25}, {3,46}, {6,31}, {1,17}, {2,36}, {7,56}, {8,19}, {1,18}, {3,14}, {1,55}, {5,11}, {1,44}, {4,41}, {5,29}, {8,41}, {2,38}, {2,37}, {2,52}, {5,43}, {7,46}, {4,42}, {2,39}, {7,32}, {1,31}, {3,12}, {4,45}, {7,49}, {7,13}, {2,53}, {7,25}, {1,22}, {6,12}, {3,44}, {6,55}, {4,47}, {6,43}, {4,21}, {3,20}, {2,13}, {6,18}, {2,48}, {4,52}, {7,30}, {8,17}, {4,35}, {7,16}, {2,32}, {6,33}, {6,50}, {1,23}, {6,24}, {5,30}, {7,17}, {6,46}, {8,11}, {4,48}, {8,53}, {1,9}, {8,35}, {4,15}, {3,11}, {7,14}, {3,50}, {4,28}, {1,33}, {3,10}, {1,43}, {3,26}, {5,28}, {8,26}, {6,51}, {7,47}, {5,12}, {5,54}, {1,42}, {1,24}, {5,31}, {6,27}, {5,44}, {6,26}, {8,40}, {3,23}, {1,39}, {5,36}, {3,21}, {6,19}, {1,46}, {6,9}, {1,15}, {5,39}, {6,42}, {7,23}, {6,36}, {2,21}, {3,30}, {8,34}, {2,29}, {6,45}, {1,16}, {4,14}, {8,50}, {7,9}, {1,47}, {4,49}, {6,34}, {6,10}, {3,55}, {8,49}, {8,18}, {4,18}, {4,25}, {3,38}, {4,11}, {4,20}, {5,13}, {7,27}, {7,10}, {1,41}, {1,48}, {3,54}, {3,31}, {2,12}, {8,51}, {5,15}, {7,33}, {3,47}, {5,19}, {6,53}, {7,37}, {5,35}, {5,37}, {4,17}, {3,36}, {4,39}, {7,40}, {4,44}, {8,29}, {5,52}, {5,53}, {2,49}, {5,16} }; // ETB56.186 // Bipartite(14,42) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2156983020442091520000000 EdgesBipt[56][186]:={ {13,21}, {6,52}, {7,48}, {6,38}, {11,49}, {14,36}, {9,32}, {6,25}, {5,22}, {5,56}, {11,25}, {4,28}, {5,43}, {2,55}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {11,43}, {14,50}, {8,40}, {3,35}, {11,15}, {10,33}, {3,19}, {14,31}, {5,15}, {1,19}, {11,53}, {12,16}, {3,20}, {2,18}, {3,21}, {14,45}, {7,30}, {8,31}, {2,46}, {6,56}, {14,29}, {10,48}, {14,44}, {2,33}, {6,32}, {3,49}, {11,35}, {11,29}, {10,56}, {10,42}, {11,27}, {10,47}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,43}, {1,52}, {9,33}, {1,17}, {7,45}, {8,46}, {8,52}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {3,52}, {12,40}, {10,20}, {1,24}, {13,24}, {2,48}, {12,23}, {5,37}, {13,42}, {1,36}, {6,18}, {1,29}, {12,37}, {13,51}, {6,46}, {10,35}, {6,44}, {11,18}, {8,38}, {9,47}, {4,49}, {5,50}, {6,24}, {13,16}, {1,38}, {1,26}, {3,17}, {7,15}, {8,22}, {1,43}, {9,39}, {12,49}, {9,20}, {4,22}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {6,17}, {5,28}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,31}, {3,31}, {11,22}, {1,39}, {7,37}, {13,49}, {2,30}, {11,42}, {5,35}, {14,34}, {4,21}, {13,17}, {4,32}, {2,44}, {13,18}, {12,15}, {8,50}, {8,15}, {11,21}, {12,47}, {12,56}, {8,17}, {4,53}, {11,36}, {3,55}, {9,51}, {1,47}, {3,24}, {14,15}, {2,51}, {10,38}, {14,23}, {6,16}, {9,55}, {13,25}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,26}, {8,45}, {2,23}, {13,53}, {9,54}, {10,19}, {9,19}, {13,45}, {11,34}, {11,46}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {10,31}, {5,19}, {13,56}, {1,25}, {2,20}, {9,16}, {13,31}, {9,30}, {8,53}, {14,27}, {6,45}, {2,16}, {14,52}, {9,25}, {5,40}, {4,50}, {7,23}, {4,34}, {12,29}, {6,31}, {11,32}, {10,52}, {3,42}, {14,43}, {14,37}, {13,38}, {10,54}, {4,15}, {9,41}, {6,23}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {1,54}, {7,52}, {6,37}, {8,32}, {7,24}, {10,28}, {2,19}, {2,54}, {2,41}, {12,50}, {5,23}, {12,43}, {2,26}, {10,40}, {14,55}, {10,21}, {7,29}, {11,56}, {8,29}, {9,23}, {14,16}, {8,36}, {13,44}, {4,55}, {3,48}, {3,33}, {13,32}, {1,45}, {14,51}, {3,34}, {4,27}, {7,55}, {4,46}, {8,43}, {3,56}, {1,33}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {5,47}, {7,51}, {1,53}, {14,24}, {5,51}, {11,41}, {7,22}, {13,35}, {5,21}, {6,28}, {6,42}, {4,35}, {1,15}, {14,20}, {5,49}, {1,50}, {11,28}, {2,47}, {7,16}, {5,16}, {10,24}, {11,20}, {10,27}, {10,34}, {3,40}, {7,17}, {10,45}, {13,23}, {2,40}, {8,54}, {6,21}, {14,41}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {6,53}, {7,44}, {7,43}, {9,40}, {11,55}, {4,20}, {5,44}, {12,54}, {9,53}, {1,46}, {8,39}, {14,22}, {14,17}, {5,36}, {9,34}, {13,46}, {4,39}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {13,52}, {14,48}, {8,25}, {4,48}, {2,32}, {12,21}, {12,51}, {9,48}, {5,33}, {4,56}, {5,30}, {10,49}, {9,37} }; // ETB56.187 // Bipartite(14,42) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 704643072 EdgesBipt[56][187]:={ {13,21}, {6,52}, {6,38}, {11,40}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {11,25}, {5,43}, {12,22}, {8,26}, {1,49}, {13,37}, {14,38}, {13,39}, {11,43}, {8,40}, {3,35}, {10,33}, {8,21}, {3,19}, {5,15}, {11,53}, {2,49}, {14,56}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {3,21}, {14,45}, {6,48}, {1,35}, {8,31}, {4,37}, {2,46}, {6,56}, {13,43}, {13,27}, {10,48}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {10,56}, {11,17}, {10,42}, {1,20}, {12,28}, {2,25}, {2,52}, {9,33}, {12,46}, {4,16}, {7,45}, {5,41}, {8,52}, {12,42}, {11,39}, {3,52}, {12,40}, {1,24}, {13,24}, {2,48}, {2,15}, {5,37}, {9,56}, {13,42}, {9,35}, {1,36}, {1,29}, {12,37}, {6,46}, {10,35}, {6,44}, {11,18}, {8,38}, {9,47}, {13,16}, {5,34}, {1,26}, {3,17}, {8,49}, {2,36}, {10,51}, {7,15}, {9,36}, {11,51}, {12,49}, {8,42}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {6,17}, {2,39}, {9,46}, {4,18}, {14,35}, {7,32}, {12,24}, {3,31}, {3,51}, {11,22}, {1,39}, {7,37}, {13,49}, {6,27}, {7,53}, {4,21}, {8,48}, {14,54}, {7,19}, {4,32}, {2,44}, {1,30}, {13,18}, {8,50}, {14,28}, {12,56}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {13,48}, {3,16}, {1,47}, {2,24}, {10,36}, {14,15}, {14,33}, {6,16}, {11,33}, {13,25}, {14,39}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {8,45}, {1,41}, {2,23}, {12,55}, {1,51}, {9,54}, {9,22}, {9,19}, {4,47}, {13,45}, {11,34}, {11,46}, {5,52}, {2,27}, {12,30}, {6,30}, {7,50}, {4,33}, {11,24}, {10,31}, {10,44}, {10,29}, {13,22}, {13,56}, {13,50}, {4,17}, {13,31}, {3,32}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {10,30}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {12,29}, {6,31}, {11,32}, {12,25}, {11,54}, {10,52}, {3,42}, {14,43}, {1,44}, {10,54}, {4,15}, {1,48}, {14,40}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {7,52}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {2,54}, {7,40}, {12,50}, {5,23}, {12,43}, {5,20}, {3,53}, {10,21}, {7,29}, {14,47}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {14,26}, {1,45}, {10,50}, {14,51}, {10,15}, {11,30}, {9,28}, {3,34}, {4,46}, {3,56}, {2,31}, {14,19}, {11,45}, {2,53}, {5,26}, {7,47}, {2,37}, {4,42}, {12,53}, {4,25}, {3,28}, {14,30}, {7,31}, {11,19}, {5,47}, {14,49}, {14,24}, {5,51}, {11,41}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {7,42}, {6,41}, {9,15}, {12,34}, {8,44}, {13,33}, {1,15}, {14,20}, {1,56}, {13,54}, {7,26}, {1,50}, {7,18}, {7,16}, {5,16}, {1,23}, {8,55}, {11,20}, {5,55}, {10,27}, {10,34}, {3,40}, {7,17}, {2,40}, {14,41}, {4,26}, {1,28}, {13,28}, {3,27}, {9,27}, {7,38}, {5,42}, {12,32}, {10,43}, {6,53}, {7,44}, {8,28}, {9,49}, {9,40}, {11,55}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,53}, {9,43}, {3,37}, {14,22}, {14,17}, {5,36}, {13,46}, {4,39}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {13,52}, {2,32}, {12,21}, {12,51}, {9,48}, {5,33}, {5,30}, {4,54}, {11,38} }; // ETB56.188 // Bipartite(24,32) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17046032855308125496934400000000 EdgesBipt[56][188]:={ {13,25}, {3,42}, {15,28}, {13,40}, {24,33}, {11,42}, {16,28}, {20,33}, {20,25}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {8,28}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {17,54}, {18,51}, {3,47}, {11,52}, {11,34}, {3,55}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {18,38}, {15,50}, {20,27}, {1,32}, {4,28}, {19,51}, {8,36}, {17,29}, {18,49}, {23,56}, {9,49}, {10,29}, {24,52}, {12,52}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {2,38}, {4,52}, {12,27}, {6,34}, {1,49}, {11,39}, {24,39}, {7,54}, {16,33}, {19,38}, {7,26}, {11,27}, {8,44}, {13,29}, {13,48}, {18,37}, {20,29}, {10,42}, {9,41}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {18,29}, {19,30}, {22,29}, {8,52}, {14,27}, {1,53}, {16,51}, {17,42}, {11,47}, {20,28}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {19,54}, {19,40}, {24,48}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {22,45}, {15,43}, {18,27}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {5,46}, {18,55}, {15,34}, {12,44}, {8,35}, {11,38}, {1,50}, {24,44}, {20,39}, {5,33}, {4,39}, {12,56}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {19,31}, {22,41}, {18,26}, {4,45}, {11,56}, {22,26}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,40}, {5,28}, {16,55}, {9,37}, {17,53}, {17,26}, {24,49}, {19,44}, {22,46}, {24,55}, {9,52}, {9,29}, {23,46}, {4,33}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {8,56}, {19,32}, {21,45}, {19,52}, {1,28}, {3,43}, {16,48}, {3,36}, {17,46}, {7,42}, {24,25}, {9,54}, {11,50}, {6,43}, {23,26}, {12,47}, {21,56}, {12,49}, {2,51}, {6,37}, {12,28}, {17,28}, {23,32}, {7,36}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {8,33}, {20,31}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {8,55}, {16,37}, {1,54}, {13,32}, {2,25}, {17,36}, {21,29}, {23,28}, {3,28}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {17,50}, {11,51}, {6,53}, {15,30}, {4,40}, {23,38}, {16,36}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {2,42}, {9,46}, {24,51}, {7,55}, {7,35}, {23,48}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {1,34}, {4,47}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {19,56}, {8,29}, {1,48}, {15,44}, {8,51}, {19,36}, {9,34}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {15,31}, {10,35}, {24,47}, {4,27}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {19,55}, {16,40}, {6,51}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {12,53}, {23,40}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {24,28}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {18,46}, {23,51}, {1,45}, {16,56}, {10,30}, {6,42}, {7,32}, {13,38}, {11,26}, {22,54}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {3,56}, {16,39}, {1,38}, {5,37}, {3,44}, {2,29}, {19,27}, {1,36}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {11,55}, {23,35}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {7,39}, {9,38}, {1,33}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {19,48}, {9,36}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {20,41}, {15,32}, {14,38}, {6,30}, {20,56}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {16,53}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {19,34}, {10,45}, {23,42}, {2,54}, {21,49}, {3,40}, {23,27}, {22,42}, {12,36}, {13,49}, {15,56}, {23,47}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {24,41}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.189 // Bipartite(24,32) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 126806761930752 EdgesBipt[56][189]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {20,26}, {20,33}, {4,26}, {19,41}, {22,37}, {14,29}, {22,53}, {2,26}, {20,50}, {3,49}, {14,49}, {22,49}, {5,52}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {3,47}, {6,48}, {11,52}, {3,55}, {13,27}, {15,54}, {10,54}, {18,38}, {7,28}, {15,50}, {20,27}, {1,32}, {4,28}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {14,25}, {5,56}, {3,25}, {1,41}, {23,50}, {23,54}, {14,54}, {21,35}, {20,42}, {2,38}, {2,52}, {19,49}, {12,27}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {7,26}, {11,27}, {18,28}, {13,51}, {4,34}, {13,29}, {18,37}, {20,29}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {1,53}, {5,47}, {16,51}, {11,47}, {23,49}, {20,28}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {1,55}, {19,40}, {24,48}, {16,26}, {5,53}, {13,53}, {18,54}, {17,51}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {6,31}, {8,40}, {2,41}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {18,53}, {13,54}, {8,39}, {22,32}, {7,34}, {22,45}, {9,55}, {15,43}, {2,36}, {11,44}, {20,32}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {5,46}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {5,27}, {1,50}, {20,39}, {4,39}, {12,56}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {11,56}, {22,26}, {2,28}, {20,43}, {1,27}, {9,25}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {12,33}, {14,53}, {5,38}, {1,37}, {6,52}, {21,37}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {6,49}, {4,56}, {3,31}, {2,47}, {23,39}, {5,29}, {21,25}, {9,28}, {20,49}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {11,41}, {19,44}, {22,46}, {24,55}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {24,50}, {23,26}, {12,47}, {21,56}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {14,37}, {22,33}, {7,43}, {20,31}, {10,28}, {13,50}, {9,44}, {21,50}, {13,35}, {8,55}, {1,54}, {2,25}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {7,55}, {22,48}, {4,42}, {21,43}, {23,48}, {3,53}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {13,36}, {3,35}, {4,49}, {14,26}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {24,35}, {13,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {16,27}, {23,44}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {10,26}, {19,56}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {19,36}, {9,34}, {15,25}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {24,47}, {4,27}, {18,36}, {6,55}, {7,27}, {4,32}, {19,39}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {9,48}, {13,44}, {19,55}, {16,40}, {6,51}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {7,48}, {14,52}, {11,28}, {6,25}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {24,56}, {17,34}, {12,26}, {24,46}, {18,56}, {1,45}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {22,54}, {12,51}, {20,34}, {7,44}, {11,46}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {19,47}, {13,34}, {23,25}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {19,27}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {6,33}, {2,32}, {14,55}, {19,26}, {15,52}, {16,50}, {24,38}, {10,40}, {18,47}, {12,40}, {21,41}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {14,45}, {5,44}, {5,35}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {18,32}, {17,55}, {24,40}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {13,47}, {10,45}, {23,42}, {2,54}, {3,40}, {23,27}, {22,42}, {15,56}, {3,33}, {19,25}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {4,53}, {12,37}, {17,30}, {7,33}, {12,31}, {16,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {17,33}, {20,53}, {10,32}, {8,50}, {21,38}, {12,55}, {6,41}, {10,49}, {5,54}, {6,29}, {2,31} }; // ETB56.190 // Bipartite(24,32) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 154618822656 EdgesBipt[56][190]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {4,26}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {22,49}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {15,54}, {10,54}, {2,39}, {18,38}, {15,50}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {18,49}, {23,29}, {9,49}, {10,29}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,25}, {14,25}, {5,56}, {3,25}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {21,35}, {2,52}, {23,45}, {23,53}, {19,49}, {12,27}, {4,38}, {24,39}, {21,31}, {16,33}, {11,27}, {18,28}, {8,44}, {13,51}, {22,28}, {15,45}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {23,49}, {20,28}, {10,25}, {12,35}, {11,36}, {19,40}, {16,26}, {13,53}, {18,54}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {2,36}, {12,38}, {18,35}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {5,46}, {18,42}, {16,42}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {21,55}, {12,56}, {22,47}, {16,43}, {8,47}, {10,50}, {24,43}, {2,44}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {22,26}, {2,28}, {1,27}, {9,25}, {4,44}, {9,26}, {12,39}, {24,54}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {6,52}, {3,50}, {21,37}, {15,55}, {15,27}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {2,47}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {5,28}, {16,55}, {8,30}, {14,32}, {9,37}, {17,26}, {24,49}, {11,41}, {24,55}, {8,34}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {19,32}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {17,46}, {11,50}, {24,50}, {23,26}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {22,33}, {7,43}, {20,31}, {8,33}, {11,45}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {2,25}, {18,44}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {6,45}, {7,40}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {4,49}, {14,26}, {14,31}, {7,46}, {6,47}, {20,37}, {11,33}, {1,34}, {7,25}, {24,35}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {19,43}, {16,27}, {6,56}, {9,30}, {5,40}, {3,46}, {22,36}, {24,42}, {18,30}, {1,40}, {10,26}, {19,56}, {17,31}, {15,44}, {23,41}, {8,51}, {19,36}, {9,34}, {15,25}, {13,28}, {17,44}, {6,32}, {24,47}, {9,47}, {4,27}, {18,36}, {7,27}, {4,32}, {19,39}, {2,27}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {9,48}, {3,38}, {2,43}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {15,38}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {5,31}, {4,51}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {6,25}, {11,43}, {3,52}, {2,53}, {20,51}, {24,29}, {24,56}, {19,50}, {17,34}, {12,26}, {18,46}, {23,51}, {18,56}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {22,54}, {12,51}, {20,34}, {11,46}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {23,25}, {22,50}, {3,56}, {16,39}, {1,38}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {14,39}, {14,42}, {13,52}, {18,45}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {17,41}, {4,48}, {11,30}, {2,48}, {7,39}, {9,51}, {10,44}, {2,32}, {6,33}, {14,55}, {22,34}, {15,52}, {24,38}, {19,48}, {18,47}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {15,32}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {13,42}, {14,45}, {5,44}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {21,39}, {15,56}, {19,25}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {16,49}, {4,53}, {12,37}, {17,30}, {7,33}, {12,31}, {20,36}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {12,55}, {8,53}, {6,41}, {10,49}, {5,54}, {6,29}, {2,31} }; // ETB56.191 // Bipartite(24,32) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[56][191]:={ {13,25}, {7,49}, {6,36}, {24,33}, {14,48}, {4,46}, {20,26}, {3,29}, {16,28}, {20,33}, {4,26}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {14,49}, {5,32}, {5,52}, {22,55}, {17,54}, {18,51}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {22,56}, {15,54}, {10,54}, {7,53}, {7,28}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {19,37}, {17,29}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {16,54}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {3,25}, {10,27}, {23,50}, {23,54}, {3,54}, {4,30}, {14,54}, {2,38}, {20,42}, {2,52}, {23,45}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {16,33}, {7,26}, {11,27}, {18,28}, {13,51}, {22,28}, {13,48}, {18,37}, {20,29}, {10,42}, {14,40}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {3,32}, {3,27}, {11,31}, {8,38}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {23,49}, {20,28}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {19,40}, {10,51}, {15,51}, {5,53}, {13,53}, {17,51}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {1,31}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {18,53}, {13,54}, {8,39}, {7,34}, {22,45}, {9,55}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {20,32}, {1,26}, {18,31}, {9,27}, {14,51}, {3,51}, {18,42}, {18,55}, {12,44}, {24,30}, {16,30}, {8,35}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {4,39}, {21,55}, {12,56}, {22,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {22,41}, {18,26}, {4,45}, {11,56}, {22,26}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {9,26}, {24,54}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {2,56}, {20,40}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {24,49}, {11,41}, {22,46}, {24,55}, {9,52}, {9,29}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {11,49}, {8,56}, {19,32}, {7,37}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {17,46}, {7,42}, {24,25}, {9,54}, {11,50}, {6,43}, {23,26}, {12,47}, {21,56}, {7,29}, {12,49}, {2,51}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {7,43}, {11,45}, {8,33}, {9,44}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {17,36}, {18,44}, {23,28}, {3,28}, {14,28}, {15,36}, {10,36}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {16,46}, {15,30}, {23,38}, {16,36}, {12,54}, {6,45}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {2,42}, {22,52}, {10,52}, {24,51}, {15,37}, {7,55}, {4,42}, {21,43}, {23,48}, {3,53}, {14,41}, {4,29}, {8,25}, {5,34}, {1,43}, {15,46}, {13,36}, {3,35}, {4,49}, {5,48}, {7,46}, {8,45}, {6,47}, {20,37}, {11,33}, {1,34}, {22,40}, {24,35}, {13,37}, {8,27}, {10,53}, {24,31}, {2,49}, {19,43}, {16,27}, {23,44}, {14,46}, {6,56}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {19,56}, {8,29}, {17,31}, {1,48}, {23,41}, {8,51}, {19,36}, {9,34}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {19,55}, {1,47}, {9,33}, {20,35}, {8,42}, {15,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,56}, {23,55}, {10,34}, {21,47}, {24,28}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {24,46}, {18,56}, {1,45}, {6,42}, {13,38}, {24,26}, {12,51}, {20,34}, {7,44}, {17,52}, {11,46}, {11,54}, {3,41}, {14,56}, {23,25}, {22,50}, {15,49}, {16,39}, {1,38}, {5,37}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {18,40}, {13,30}, {20,48}, {14,39}, {9,45}, {13,52}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {7,39}, {10,56}, {9,38}, {1,33}, {12,30}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {19,48}, {9,36}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {11,25}, {20,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {24,40}, {21,26}, {22,31}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,42}, {15,53}, {2,54}, {21,49}, {20,46}, {22,42}, {22,44}, {13,49}, {21,39}, {15,56}, {23,47}, {19,25}, {15,26}, {20,55}, {18,41}, {16,38}, {16,49}, {4,53}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {15,47}, {20,45}, {4,37}, {4,35}, {10,47}, {2,35}, {20,53}, {10,32}, {17,47}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.192 // Bipartite(28,28) Valencies [24,24] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 212040058841539364782080 EdgesBipt[56][192]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {19,41}, {25,42}, {7,47}, {22,53}, {28,56}, {26,33}, {27,55}, {17,56}, {20,50}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {14,47}, {8,31}, {22,55}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {2,39}, {18,38}, {7,53}, {15,50}, {1,32}, {19,51}, {8,36}, {28,54}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {23,56}, {9,49}, {10,29}, {15,33}, {24,52}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {20,42}, {23,53}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {19,38}, {25,49}, {13,51}, {26,46}, {13,29}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {28,45}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {11,31}, {11,37}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {12,48}, {11,36}, {28,44}, {19,54}, {1,55}, {19,40}, {24,48}, {10,51}, {28,42}, {5,53}, {13,53}, {28,49}, {27,32}, {28,32}, {18,54}, {25,56}, {17,51}, {2,37}, {9,50}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {18,53}, {7,51}, {8,39}, {22,32}, {7,34}, {22,45}, {9,55}, {15,43}, {27,56}, {2,36}, {12,38}, {11,44}, {26,44}, {18,35}, {20,32}, {18,31}, {14,51}, {26,32}, 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{3,37}, {28,40}, {1,35}, {23,32}, {9,39}, {14,37}, {22,33}, {11,45}, {8,33}, {20,31}, {13,50}, {9,44}, {9,42}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {27,45}, {17,36}, {26,39}, {18,44}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {28,37}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {27,48}, {24,34}, {4,40}, {16,36}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {7,55}, {22,48}, {7,35}, {4,42}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {5,34}, {26,34}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {23,44}, {14,46}, {6,56}, {9,30}, {5,40}, {22,36}, {24,42}, {26,40}, {27,34}, {18,30}, {6,50}, {28,31}, {1,40}, {28,35}, {17,31}, {8,29}, {1,48}, {23,41}, {25,40}, {19,36}, {9,34}, {16,41}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {18,36}, {6,55}, {27,46}, {4,32}, {19,39}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {1,56}, {1,46}, {23,55}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {28,34}, {13,39}, {11,43}, {3,52}, {28,38}, {2,53}, {20,51}, {28,48}, {24,29}, {24,56}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {18,56}, {1,45}, {16,56}, {10,30}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {27,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {19,47}, {13,34}, {14,56}, {28,51}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {25,50}, {25,54}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {14,39}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {7,56}, {10,41}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {4,50}, {2,50}, {17,41}, {11,30}, {21,52}, {8,43}, {28,41}, {2,48}, {7,39}, {10,56}, {9,51}, {10,44}, {27,37}, {1,33}, {12,30}, {2,32}, {14,55}, {22,34}, {27,30}, {15,52}, {16,50}, {28,46}, {24,38}, {19,48}, {9,36}, {10,40}, {27,49}, {18,47}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {27,39}, {6,30}, {20,56}, {25,35}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {22,31}, {28,55}, {22,35}, {5,39}, {12,43}, {26,29}, {19,34}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {13,49}, {26,51}, {28,53}, {21,39}, {15,56}, {3,33}, {27,35}, {28,30}, {23,47}, {20,55}, {27,50}, {23,43}, {23,36}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {28,33}, {12,29}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29} }; // ETB56.193 // Bipartite(6,50) Valencies [25,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37150418534400000000000 EdgesBipt[56][193]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {6,16}, {4,27}, {3,22}, {1,10}, {1,56}, {2,23}, {5,55}, {2,51}, {3,9}, {3,13}, {1,27}, {3,43}, {1,40}, {5,56}, {4,31}, {1,19}, {5,20}, {3,37}, {1,21}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {2,54}, {6,29}, {3,17}, {3,7}, {4,38}, {3,34}, {5,40}, {2,34}, {1,17}, {1,50}, {1,7}, {5,22}, {4,22}, {3,49}, {3,14}, {5,50}, {4,8}, {2,10}, {4,41}, {2,38}, {5,43}, {4,42}, {6,8}, {5,25}, {1,31}, {3,12}, {4,45}, {2,53}, {1,51}, {3,44}, {4,47}, {6,55}, {5,23}, {4,21}, {6,49}, {2,13}, {2,20}, {6,18}, {2,48}, {4,52}, {1,29}, {3,39}, {3,32}, {4,35}, {6,24}, {5,30}, {6,44}, {6,46}, {4,48}, {5,46}, {1,9}, {6,56}, {4,55}, {4,15}, {3,27}, {4,7}, {4,28}, {3,29}, {5,42}, {6,15}, {5,12}, {3,19}, {1,49}, {6,26}, {3,23}, {1,39}, {5,36}, {6,19}, {1,46}, {6,9}, {6,54}, {6,28}, {6,14}, {2,11}, {1,37}, {4,37}, {3,53}, {6,36}, {2,21}, {5,33}, {4,51}, {3,24}, {6,45}, {1,26}, {1,16}, {6,25}, {1,47}, {6,38}, {2,40}, {2,31}, {6,34}, {5,10}, {5,26}, {3,42}, {4,18}, {4,25}, {4,11}, {4,12}, {5,13}, {1,41}, {5,45}, {3,54}, {2,8}, {5,15}, {6,39}, {3,47}, {2,30}, {5,35}, {2,18}, {2,43}, {4,17}, {6,35}, {5,52}, {4,32}, {1,36}, {5,53}, {2,50}, {5,16} }; // ETB56.194 // Bipartite(21,35) Valencies [25,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1805923123200000000 EdgesBipt[56][194]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {20,25}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {14,47}, {8,31}, {12,42}, {17,54}, {7,24}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {18,38}, {2,24}, {7,53}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {5,43}, {12,32}, {20,22}, {3,25}, {10,27}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {2,52}, {19,49}, {12,27}, {6,34}, {17,22}, {1,49}, {11,39}, {21,31}, {7,54}, {19,38}, {7,26}, {11,27}, {18,28}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {3,32}, {11,31}, {11,37}, {8,38}, {19,30}, {8,52}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {12,35}, {12,48}, {10,51}, {3,22}, {5,53}, {13,53}, {5,23}, {17,51}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {4,41}, {18,53}, {7,51}, {9,55}, {18,27}, {2,36}, {11,44}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {12,56}, {6,24}, {16,43}, {8,47}, {10,50}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {14,23}, {20,43}, {5,22}, {9,25}, {3,23}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {21,22}, {15,27}, {14,35}, {12,41}, {11,32}, {4,56}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,52}, {19,24}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {8,56}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {20,23}, {7,42}, {9,54}, {6,43}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {9,39}, {14,37}, {11,24}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {14,28}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {17,50}, {11,51}, {4,40}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {9,46}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {20,38}, {14,41}, {4,29}, {5,34}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {19,23}, {7,25}, {4,47}, {8,27}, {5,30}, {21,54}, {19,43}, {16,27}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,31}, {8,29}, {19,56}, {19,36}, {9,34}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {6,55}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {18,39}, {9,48}, {2,43}, {14,34}, {11,23}, {1,47}, {6,51}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {4,25}, {3,30}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {14,52}, {13,39}, {2,53}, {20,51}, {19,42}, {19,50}, {13,55}, {18,46}, {18,56}, {1,45}, {16,56}, {10,30}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {11,54}, {15,39}, {10,33}, {17,49}, {13,34}, {14,56}, {20,24}, {18,24}, {3,56}, {21,24}, {15,49}, {1,38}, {5,37}, {3,44}, {2,29}, {20,30}, {14,44}, {1,36}, {20,48}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {10,56}, {9,51}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {15,52}, {16,50}, {10,40}, {6,27}, {17,40}, {7,45}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {4,43}, {9,32}, {18,32}, {21,32}, {21,26}, {16,45}, {5,39}, {12,43}, {15,53}, {2,54}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {15,56}, {3,33}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {16,38}, {16,49}, {4,53}, {12,37}, {17,30}, {7,33}, {20,36}, {15,47}, {20,45}, {13,45}, {12,29}, {4,35}, {10,47}, {17,33}, {20,53}, {16,24}, {17,47}, {8,50}, {21,38}, {12,55}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.195 // Bipartite(4,52) Valencies [26,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12028493907237791991555578186956800000000 EdgesBipt[56][195]:={ {4,35}, {3,15}, {2,38}, {4,42}, {3,56}, {4,14}, {2,22}, {4,55}, {3,7}, {4,27}, {1,40}, {1,25}, {2,37}, {3,32}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {1,32}, {4,6}, {1,52}, {3,31}, {2,18}, {4,26}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {2,14}, {3,11}, {2,10}, {2,41}, {4,7}, {4,46}, {1,36}, {4,39}, {1,17}, {2,50}, {3,40}, {1,16}, {2,17}, {2,13}, {1,12}, {4,43}, {3,23}, {4,31}, {2,42}, {3,27}, {2,34}, {4,30}, {3,47}, {4,15}, {2,9}, {2,53}, {1,53}, {4,38}, {4,11}, {3,52}, {4,51}, {3,35}, {2,21}, {2,54}, {2,46}, {4,22}, {1,49}, {3,28}, {3,24}, {3,12}, {2,49}, {2,6}, {1,41}, {3,44}, {3,39}, {1,37}, {1,20}, {4,54}, {3,16}, {1,13}, {4,18}, {2,26}, {3,8}, {3,20}, {4,50}, {1,33}, {2,25}, {1,28}, {3,36}, {3,43}, {4,34}, {4,47}, {1,45}, {4,23}, {1,8}, {2,30}, {1,21}, {1,48}, {4,19}, {4,10}, {2,5}, {1,24}, {2,45} }; // ETB56.196 // Bipartite(28,28) Valencies [26,26] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 46803488703145574400 EdgesBipt[56][196]:={ {26,53}, {7,49}, {26,54}, {26,50}, {13,40}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,33}, {19,41}, {25,42}, {14,29}, {7,47}, {22,53}, {28,56}, {26,33}, {27,55}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {22,56}, {28,50}, {15,54}, {2,39}, {7,53}, {18,38}, {15,50}, {1,32}, {19,51}, {8,36}, {28,54}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {10,29}, {15,33}, {24,52}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {28,29}, {5,56}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {20,42}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {13,48}, {26,47}, {18,37}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {28,45}, {9,41}, {17,43}, {17,45}, {24,36}, {11,35}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {1,53}, {5,47}, {28,43}, {5,55}, {16,51}, {11,47}, {23,49}, {18,50}, {12,35}, {12,48}, {11,36}, {28,44}, {19,54}, {1,55}, {19,40}, {24,48}, {10,51}, {28,42}, {15,51}, {5,53}, {28,49}, {27,32}, {28,32}, {18,54}, {25,56}, {25,41}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {3,48}, {21,42}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {27,56}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {20,32}, {18,31}, {14,51}, {26,32}, {3,51}, {5,46}, {18,42}, {16,42}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {27,41}, {21,55}, {12,56}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {22,41}, {4,45}, {28,39}, {11,56}, {20,43}, {4,44}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {28,52}, {6,52}, {3,50}, {21,37}, {25,38}, {27,51}, {1,29}, {26,37}, {2,34}, {15,55}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {26,49}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {25,33}, {8,30}, {14,32}, {9,37}, {27,38}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {19,32}, {7,37}, {21,45}, {19,52}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {24,50}, {26,31}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {28,40}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {28,37}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {27,48}, {15,30}, {24,34}, {27,54}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {27,47}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, 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4 // Has twins Non-VT Non-AT // Automorphism group of order 86295541329997385328230400000000 EdgesBipt[56][197]:={ {13,25}, {3,42}, {15,28}, {13,40}, {11,42}, {16,28}, {20,33}, {20,25}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {8,28}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {7,24}, {17,54}, {18,51}, {3,47}, {11,52}, {11,34}, {3,55}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {17,29}, {18,49}, {9,49}, {10,29}, {13,22}, {12,52}, {12,32}, {2,30}, {14,25}, {5,56}, {10,27}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {17,22}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {13,29}, {13,48}, {10,22}, {18,37}, {20,29}, {10,42}, {9,41}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {18,29}, {19,30}, {8,52}, {14,27}, {1,53}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {19,40}, 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{16,44}, {2,50}, {17,41}, {4,48}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {1,33}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {9,36}, {19,48}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {6,30}, {20,56}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {4,43}, {11,22}, {16,32}, {9,32}, {16,53}, {20,47}, {16,45}, {7,50}, {12,43}, {1,21}, {6,21}, {19,34}, {10,45}, {2,54}, {3,40}, {12,36}, {13,49}, {10,21}, {15,56}, {1,24}, {17,21}, {15,26}, {20,55}, {18,41}, {16,49}, {4,53}, {12,37}, {17,30}, {5,24}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {16,24}, {12,55}, {8,53}, {6,41}, {10,49}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.198 // Bipartite(28,28) Valencies [27,27] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 609776689223427721003008000000 EdgesBipt[56][198]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, 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{21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {28,52}, {6,52}, {3,50}, {21,37}, {25,38}, {27,51}, {1,29}, {26,37}, {2,34}, {15,55}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {26,49}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {25,33}, {8,30}, {14,32}, {9,37}, {27,38}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {24,55}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {19,32}, {7,37}, {21,45}, {19,52}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {24,50}, {26,31}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {28,40}, {1,35}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {28,37}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {6,53}, {25,52}, {16,46}, {27,48}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {27,40}, {5,34}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {8,45}, {7,46}, {6,47}, {20,37}, {11,33}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {21,54}, {19,43}, {23,44}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {27,34}, {18,30}, {6,50}, {28,31}, {1,40}, {28,35}, {17,31}, {8,29}, {19,56}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {16,41}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {18,36}, {6,55}, {27,46}, {4,32}, {19,39}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {13,44}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {5,49}, {28,34}, {13,39}, {11,43}, {3,52}, {28,38}, {2,53}, {20,51}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {24,46}, {18,56}, {1,45}, {16,56}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {28,51}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {25,50}, {25,54}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {11,30}, {21,52}, {8,43}, {28,41}, {2,48}, {10,56}, {9,51}, {9,38}, {27,37}, {1,33}, {12,30}, {14,55}, {22,34}, {27,30}, {15,52}, {16,50}, {28,46}, {24,38}, {9,36}, {19,48}, {26,56}, {10,40}, {27,49}, {18,47}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {27,39}, {6,30}, {25,35}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {28,55}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {28,36}, {13,47}, {10,45}, {23,37}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {28,53}, {21,39}, {15,56}, {3,33}, {27,35}, {28,30}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {25,55}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {28,33}, {12,29}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.199 // Bipartite(7,49) Valencies [28,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13877877090655792005120000000 EdgesBipt[56][199]:={ {2,44}, {1,11}, {3,33}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {7,15}, {3,40}, {1,10}, {4,53}, {4,50}, {6,17}, {4,56}, {7,48}, {2,23}, {2,51}, {7,55}, {7,38}, {4,29}, {1,32}, {3,13}, {3,45}, {7,41}, {7,44}, {1,40}, {5,56}, {7,22}, {2,19}, {7,8}, {1,19}, {2,27}, {3,35}, {5,47}, {2,26}, {7,34}, {7,51}, {2,9}, {7,36}, {3,52}, {2,41}, {6,11}, {2,54}, {3,17}, {6,21}, {3,34}, {5,40}, {2,25}, {6,31}, {1,38}, {2,34}, {1,17}, {1,50}, {5,22}, {4,22}, {3,49}, {1,18}, {3,14}, {7,20}, {5,50}, {4,8}, {5,29}, {4,41}, {2,37}, {5,43}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {7,13}, {2,53}, {7,43}, {1,22}, {6,30}, {5,23}, {4,21}, {3,20}, {6,49}, {2,13}, {2,20}, {6,18}, {2,48}, {1,29}, {7,30}, {7,50}, {2,16}, {4,35}, {7,16}, {2,32}, {1,12}, {6,24}, {5,30}, {6,44}, {7,17}, {6,46}, {4,48}, {5,49}, {1,45}, {6,56}, {5,14}, {4,55}, {4,15}, {4,13}, {3,27}, {4,28}, {1,33}, {4,43}, {6,23}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {7,31}, {4,36}, {6,51}, {5,12}, {5,54}, {3,19}, {1,24}, {5,44}, {1,39}, {5,36}, {3,21}, {1,25}, {1,46}, {6,9}, {5,51}, {1,53}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {6,42}, {7,23}, {5,33}, {3,24}, {6,45}, {1,26}, {4,34}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {7,9}, {6,38}, {4,49}, {2,40}, {6,10}, {3,55}, {5,26}, {3,42}, {4,18}, {5,9}, {6,52}, {4,25}, {3,38}, {1,8}, {4,11}, {4,20}, {3,28}, {7,10}, {7,27}, {7,45}, {3,41}, {3,54}, {3,31}, {7,24}, {2,12}, {2,55}, {5,15}, {6,39}, {6,37}, {3,47}, {5,19}, {5,21}, {2,30}, {6,53}, {7,37}, {5,35}, {1,54}, {2,18}, {7,52}, {5,37}, {6,35}, {4,39}, {4,32}, {1,36}, {5,16} }; // ETB56.200 // Bipartite(24,32) Valencies [28,21] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7454533318647868293120 EdgesBipt[56][200]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {7,47}, {2,26}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {3,55}, {12,25}, {22,56}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {20,27}, {19,51}, {8,36}, {17,29}, {19,37}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {16,54}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {23,50}, {3,54}, {4,30}, {10,55}, {14,54}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {12,35}, {12,48}, {11,36}, {19,54}, {1,55}, {19,40}, {24,48}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {17,51}, {2,37}, {9,50}, {14,43}, {5,25}, {9,53}, {5,26}, {6,31}, {8,40}, {1,31}, {11,48}, {6,35}, {5,50}, {21,30}, {21,44}, {23,33}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {13,54}, {7,51}, {22,32}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {16,42}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {21,55}, {12,56}, {22,47}, {16,43}, {6,39}, {10,50}, {24,43}, {2,44}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {11,56}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {5,36}, {9,26}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {6,52}, {21,37}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {2,56}, {20,40}, {16,35}, {21,40}, {5,28}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,25}, {9,54}, {6,43}, {24,50}, {23,26}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {16,37}, {1,54}, {13,32}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {16,46}, {24,34}, {4,40}, {16,36}, {12,54}, {1,39}, {18,43}, {7,40}, {17,37}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {14,31}, {8,45}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {6,46}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {10,26}, {17,31}, {8,29}, {19,56}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {18,39}, {3,38}, {2,43}, {14,34}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {14,30}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {24,29}, {24,56}, {17,34}, {13,55}, {12,26}, {18,46}, {23,51}, {24,46}, {18,56}, {1,45}, {16,56}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {24,26}, {22,54}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {23,25}, {22,50}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {7,56}, {6,26}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {5,44}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {16,53}, {18,32}, {17,55}, {21,32}, {24,40}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {23,47}, {19,25}, {15,26}, {20,55}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {21,38}, {12,55}, {8,53}, {6,41}, {12,46}, {5,54}, {2,31} }; // ETB56.201 // Bipartite(28,28) Valencies [28,28] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 185913805360142376468989950536810991084772524032000000000000 EdgesBipt[56][201]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {28,56}, {26,33}, {27,55}, {17,56}, {20,50}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {3,55}, {22,56}, {28,50}, {15,54}, {10,54}, {2,39}, {7,53}, {18,38}, {15,50}, {1,32}, {19,51}, {8,36}, {28,54}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {10,29}, {15,33}, {24,52}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {28,29}, {5,56}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {28,45}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {1,53}, {5,47}, {28,43}, {5,55}, {16,51}, {17,42}, {11,47}, {23,49}, {18,50}, {12,35}, {12,48}, {11,36}, {28,44}, {19,54}, {1,55}, {19,40}, {24,48}, {10,51}, {28,42}, {15,51}, {5,53}, {13,53}, {28,49}, {27,32}, {28,32}, {18,54}, {25,56}, {25,41}, {2,37}, {17,51}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, 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{21,52}, {8,43}, {28,41}, {2,48}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {27,37}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {22,34}, {27,30}, {15,52}, {16,50}, {28,46}, {24,38}, {9,36}, {19,48}, {26,56}, {10,40}, {27,49}, {18,47}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {27,39}, {6,30}, {20,56}, {25,35}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {28,55}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {28,36}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {28,53}, {21,39}, {15,56}, {3,33}, {27,35}, {28,30}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {25,55}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {28,33}, {12,29}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.202 // Bipartite(27,29) Valencies [29,27] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 96276792061502302100012652956562834668900057088000000000000 EdgesBipt[56][202]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, 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{16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {24,46}, {18,56}, {1,45}, {16,56}, {10,30}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {25,50}, {25,54}, {1,36}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {27,37}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {22,34}, {27,30}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {26,56}, {10,40}, {27,49}, {18,47}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {27,39}, {6,30}, {20,56}, {25,35}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {27,28}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {15,56}, {3,33}, {27,35}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {25,55}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.203 // Bipartite(14,42) Valencies [30,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1352914698240 EdgesBipt[56][203]:={ {7,48}, {11,40}, {10,37}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {5,56}, {11,25}, {5,43}, {2,55}, {8,51}, {5,45}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {14,50}, {2,35}, {8,40}, {3,35}, {11,15}, {10,33}, {14,31}, {5,15}, {1,19}, {2,49}, {11,53}, {12,16}, {3,20}, {3,21}, {14,45}, {6,48}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,27}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {11,35}, {10,56}, {10,42}, {11,17}, {6,29}, {11,27}, {1,20}, {8,16}, {2,34}, {12,28}, {2,25}, {1,52}, {2,52}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,37}, {12,20}, {5,41}, {8,52}, {12,38}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {7,33}, {12,31}, {3,52}, {12,40}, {10,20}, {1,24}, {13,24}, {13,47}, {12,23}, {5,37}, {13,20}, {13,55}, {9,56}, {9,35}, {1,36}, {6,18}, {12,37}, {13,51}, {2,56}, {6,46}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {5,50}, {12,52}, {6,24}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {13,41}, {10,51}, {7,15}, {8,22}, {6,34}, {1,43}, {12,49}, {9,20}, {7,54}, {6,51}, {8,19}, {1,18}, {3,43}, {5,28}, {8,18}, {9,46}, {4,18}, {7,32}, {12,24}, {1,31}, {3,31}, {3,51}, {1,39}, {13,49}, {6,27}, {7,53}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {8,48}, {14,54}, {4,32}, {2,44}, {1,30}, {8,56}, {13,18}, {12,15}, {8,15}, {14,28}, {11,21}, {12,56}, {8,17}, {1,55}, {4,53}, {10,16}, {11,36}, {3,30}, {3,55}, {13,48}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {10,36}, {11,16}, {14,15}, {14,33}, {2,51}, {14,23}, {6,16}, {10,46}, {11,33}, {9,55}, {13,25}, {14,39}, {11,48}, {10,55}, {8,47}, {8,24}, {8,41}, {9,38}, {9,26}, {14,21}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {1,51}, {13,53}, {9,54}, {12,41}, {9,19}, {4,47}, {11,44}, {13,45}, {3,25}, {11,34}, {11,46}, {5,52}, {6,30}, {7,50}, {4,33}, {1,22}, {5,19}, {9,31}, {10,31}, {10,29}, {13,22}, {13,50}, {6,19}, {2,20}, {4,17}, {9,30}, {5,39}, {3,32}, {14,27}, {7,28}, {6,45}, {12,18}, {8,34}, {13,29}, {14,52}, {9,25}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {11,32}, {9,52}, {11,54}, {12,25}, {1,16}, {3,42}, {10,52}, {14,43}, {3,22}, {10,54}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {2,41}, {12,50}, {5,23}, {12,43}, {5,20}, {3,53}, {2,26}, {10,21}, {9,21}, {7,29}, {11,56}, {14,47}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {13,32}, {14,26}, {1,45}, {10,50}, {14,51}, {10,15}, {3,50}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {11,47}, {4,46}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {12,36}, {2,53}, {12,44}, {7,47}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {11,19}, {8,33}, {12,39}, {7,51}, {14,49}, {14,24}, {3,15}, {13,34}, {7,22}, {6,26}, {1,34}, {14,18}, {5,21}, {7,42}, {6,41}, {10,53}, {6,28}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {7,18}, {11,37}, {2,47}, {5,18}, {5,16}, {8,55}, {14,42}, {10,27}, {10,34}, {5,17}, {7,17}, {8,35}, {13,23}, {2,40}, {8,54}, {9,45}, {4,26}, {13,28}, {3,27}, {7,38}, {5,42}, {2,38}, {10,43}, {6,55}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {8,20}, {1,27}, {5,44}, {5,25}, {9,53}, {14,53}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {13,46}, {4,39}, {7,36}, {12,35}, {11,50}, {12,19}, {6,50}, {14,48}, {1,37}, {2,42}, {4,48}, {2,32}, {12,21}, {11,26}, {3,46}, {4,56}, {4,54}, {10,49}, {11,38}, {6,40} }; // ETB56.204 // Bipartite(16,40) Valencies [30,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[56][204]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {4,46}, {10,17}, {3,29}, {9,18}, {16,28}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {4,24}, {8,37}, {14,47}, {8,31}, {3,47}, {6,48}, {11,52}, {3,55}, {13,27}, {12,25}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {15,50}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {7,17}, {13,22}, {6,28}, {16,54}, {5,43}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {11,39}, {16,33}, {7,26}, {11,27}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {9,41}, {14,33}, {11,35}, {3,32}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {11,47}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {16,26}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {16,20}, {9,50}, {14,43}, {7,30}, {5,26}, {6,31}, {8,40}, {2,41}, {11,48}, {6,35}, {16,23}, {5,45}, {3,48}, {9,22}, {5,20}, {7,51}, {8,39}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {15,34}, {16,42}, {16,30}, {8,35}, {5,27}, {6,40}, {1,50}, {7,23}, {5,33}, {1,22}, {12,56}, {6,24}, {8,47}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {1,27}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {13,18}, {6,52}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {2,47}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {16,35}, {12,18}, {14,32}, {9,17}, {10,18}, {11,41}, {9,52}, {8,34}, {13,19}, {12,50}, {2,22}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {16,48}, {14,36}, {7,42}, {9,54}, {6,43}, {12,47}, {11,53}, {2,51}, {6,37}, {12,28}, {3,37}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {12,24}, {14,28}, {12,45}, {10,36}, {12,20}, {16,29}, {15,42}, {13,46}, {9,43}, {11,51}, {15,30}, {3,19}, {4,40}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {15,37}, {7,55}, {4,42}, {15,29}, {14,41}, {8,25}, {5,34}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {7,25}, {13,37}, {8,27}, {10,53}, {5,30}, {15,22}, {16,27}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {10,26}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {5,19}, {16,41}, {13,28}, {16,52}, {2,33}, {6,32}, {15,31}, {10,35}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {4,32}, {5,41}, {13,41}, {3,34}, {13,20}, {13,21}, {3,38}, {14,34}, {11,23}, {16,40}, {1,47}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {4,54}, {12,23}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {16,56}, {6,18}, {6,42}, {7,32}, {13,38}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {16,39}, {1,38}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {2,48}, {2,23}, {7,39}, {15,21}, {10,44}, {1,33}, {12,30}, {2,32}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {12,40}, {7,45}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {11,40}, {16,18}, {5,44}, {5,35}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {10,45}, {15,53}, {7,20}, {3,40}, {13,49}, {15,56}, {3,33}, {5,17}, {1,24}, {15,26}, {2,18}, {4,53}, {16,49}, {12,37}, {2,19}, {7,33}, {12,31}, {15,47}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.205 // Bipartite(16,40) Valencies [30,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[56][205]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {15,17}, {10,17}, {3,29}, {9,18}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {3,49}, {14,49}, {5,32}, {4,24}, {8,37}, {14,47}, {8,31}, {3,47}, {6,48}, {11,52}, {3,55}, {13,27}, {12,25}, {15,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {15,50}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {10,29}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {4,52}, {6,34}, {4,38}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {12,22}, {14,40}, {10,42}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,55}, {16,51}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {1,55}, {10,51}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {16,23}, {5,45}, {4,41}, {13,54}, {5,20}, {8,39}, {7,34}, {9,55}, {1,20}, {12,38}, {11,44}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {5,46}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {7,23}, {5,33}, {4,39}, {1,22}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {1,37}, {14,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {15,27}, {5,42}, {6,49}, {4,56}, {11,32}, {2,47}, {11,18}, {3,20}, {5,29}, {9,28}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {9,52}, {13,19}, {9,29}, {12,50}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {16,48}, {14,36}, {7,42}, {9,54}, {11,50}, {6,43}, {12,47}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {1,35}, {9,39}, {13,26}, {10,46}, {7,43}, {11,45}, {8,33}, {13,50}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {15,36}, {10,36}, {12,20}, {16,29}, {2,40}, {11,51}, {6,53}, {16,46}, {3,19}, {4,40}, {16,36}, {6,45}, {7,40}, {14,19}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {9,40}, {14,31}, {8,45}, {6,47}, {14,20}, {1,34}, {7,25}, {4,47}, {13,37}, {10,53}, {6,46}, {15,22}, {16,27}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {2,33}, {9,47}, {4,27}, {14,24}, {3,24}, {7,27}, {4,32}, {15,35}, {5,41}, {13,41}, {15,48}, {6,17}, {8,54}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {11,23}, {6,51}, {15,19}, {15,38}, {7,38}, {14,30}, {8,32}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {4,51}, {4,25}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {11,17}, {3,52}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {6,42}, {7,32}, {13,38}, {12,51}, {11,46}, {4,31}, {11,54}, {15,39}, {10,33}, {14,56}, {15,49}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {13,30}, {9,24}, {14,39}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {9,38}, {10,44}, {1,33}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {7,45}, {8,46}, {15,32}, {13,56}, {6,38}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {16,53}, {16,45}, {5,39}, {1,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {5,17}, {4,18}, {15,26}, {2,18}, {16,38}, {16,49}, {12,37}, {5,24}, {7,33}, {12,31}, {16,47}, {13,45}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {6,41}, {12,46}, {5,54}, {6,29}, {2,31} }; // ETB56.206 // Bipartite(16,40) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1380728661279958165251686400000000 EdgesBipt[56][206]:={ {13,25}, {3,42}, {15,28}, {13,40}, {11,42}, {10,17}, {9,18}, {16,28}, {14,29}, {7,47}, {2,26}, {16,17}, {8,28}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {7,24}, {3,47}, {11,52}, {11,34}, {3,55}, {12,25}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {15,50}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {5,18}, {9,49}, {10,29}, {13,22}, {12,52}, {12,32}, {2,30}, {14,25}, {5,56}, {10,27}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {13,29}, {13,48}, {10,22}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {8,52}, {14,27}, {1,53}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {6,19}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {1,25}, {14,51}, {3,51}, {5,46}, {15,34}, {12,44}, {8,35}, {11,38}, {1,50}, {7,23}, {5,33}, {4,39}, {1,22}, {12,56}, {8,47}, {16,43}, {6,39}, {10,50}, {2,45}, {1,42}, {8,49}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {13,18}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {16,55}, {4,21}, {9,37}, {12,21}, {10,18}, {9,17}, {9,52}, {9,29}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {9,54}, {11,50}, {6,43}, {12,47}, {12,49}, {2,51}, {6,37}, {12,28}, {5,21}, {7,36}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {8,33}, {13,50}, {9,44}, {15,23}, {12,17}, {9,42}, {8,55}, {16,37}, {1,54}, {13,32}, {2,25}, {3,28}, {12,24}, {12,45}, {15,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {11,51}, {6,53}, {15,30}, {3,19}, {4,40}, {16,36}, {6,45}, {7,40}, {14,19}, {10,37}, {2,42}, {9,46}, {7,55}, {7,35}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {1,34}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {6,50}, {1,40}, {6,23}, {10,26}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {2,33}, {15,31}, {10,35}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {6,51}, {15,19}, {9,33}, {15,38}, {7,38}, {14,30}, {8,32}, {7,52}, {12,23}, {12,53}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {3,52}, {2,53}, {15,18}, {1,45}, {10,30}, {16,56}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {3,56}, {16,39}, {1,38}, {5,37}, {3,44}, {8,23}, {2,29}, {14,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {11,55}, {8,19}, {4,20}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {1,33}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {16,21}, {6,27}, {12,40}, {15,32}, {14,38}, {6,30}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {4,43}, {11,22}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {5,17}, {1,24}, {15,26}, {2,18}, {4,53}, {16,49}, {12,37}, {2,19}, {5,24}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {16,24}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.207 // Bipartite(16,40) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49533891379200000000 EdgesBipt[56][207]:={ {13,25}, {15,28}, {14,48}, {15,17}, {10,17}, {3,29}, {9,18}, {16,28}, {4,26}, {14,29}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {5,52}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {3,55}, {13,27}, {3,17}, {15,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {4,28}, {8,36}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {1,41}, {14,54}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {1,49}, {7,54}, {7,26}, {11,27}, {8,44}, {13,51}, {4,34}, {13,29}, {12,22}, {14,40}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {16,51}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {1,55}, {16,26}, {15,51}, {5,53}, {13,53}, {6,19}, {16,20}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {1,31}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {16,42}, {11,38}, {6,40}, {1,50}, {9,31}, {5,33}, {4,39}, {1,22}, {12,56}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {1,42}, {16,34}, {8,49}, {10,48}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {14,53}, {5,38}, {1,37}, {14,50}, {13,18}, {1,29}, {2,34}, {15,55}, {12,19}, {15,27}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {16,55}, {12,18}, {8,30}, {4,21}, {14,32}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {10,31}, {11,49}, {8,56}, {7,37}, {14,18}, {3,43}, {1,17}, {16,48}, {3,36}, {7,42}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {3,28}, {9,35}, {12,24}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {15,30}, {3,19}, {16,36}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {2,42}, {9,46}, {10,52}, {7,35}, {4,42}, {3,53}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {13,36}, {9,23}, {3,35}, {4,49}, {14,26}, {5,48}, {14,31}, {7,46}, {8,22}, {6,47}, {11,33}, {1,34}, {4,47}, {13,37}, {10,53}, {5,30}, {6,46}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {5,40}, {16,31}, {8,17}, {6,23}, {10,26}, {1,23}, {7,22}, {15,44}, {9,34}, {15,25}, {6,22}, {13,28}, {16,52}, {6,32}, {15,31}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {13,20}, {13,21}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {7,52}, {12,23}, {12,53}, {8,18}, {4,51}, {4,25}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {12,26}, {1,45}, {16,56}, {11,20}, {7,32}, {13,38}, {12,51}, {7,44}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {3,44}, {8,23}, {14,21}, {3,21}, {13,30}, {14,39}, {14,42}, {13,52}, {2,46}, {3,39}, {10,41}, {7,56}, {12,34}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {11,30}, {2,48}, {2,23}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {16,53}, {16,45}, {7,50}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {16,19}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {5,17}, {4,18}, {2,18}, {4,53}, {12,37}, {2,19}, {5,24}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.208 // Bipartite(16,40) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6039797760 EdgesBipt[56][208]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {4,46}, {10,17}, {3,29}, {9,18}, {16,28}, {4,26}, {14,29}, {2,26}, {3,49}, {14,49}, {5,32}, {5,52}, {8,37}, {14,47}, {12,42}, {3,47}, {6,48}, {11,34}, {3,17}, {15,54}, {10,54}, {2,39}, {2,24}, {7,53}, {15,50}, {4,28}, {8,36}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {16,54}, {5,43}, {2,30}, {5,56}, {3,25}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {11,27}, {8,44}, {13,51}, {13,48}, {12,22}, {14,40}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {8,52}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {11,21}, {1,55}, {16,26}, {3,22}, {15,51}, {13,53}, {6,19}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {11,44}, {13,33}, {15,24}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {15,34}, {12,44}, {16,42}, {16,30}, {11,38}, {5,27}, {6,40}, {1,50}, {7,23}, {1,22}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {13,18}, {1,29}, {2,34}, {15,55}, {12,19}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {3,31}, {2,47}, {11,18}, {10,43}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {10,18}, {9,17}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {4,33}, {15,40}, {2,55}, {1,44}, {3,18}, {13,23}, {8,56}, {7,37}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {14,36}, {7,42}, {11,50}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {10,28}, {13,50}, {9,44}, {12,17}, {9,42}, {9,19}, {1,54}, {13,32}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {6,45}, {7,40}, {14,19}, {10,37}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {8,25}, {5,34}, {1,30}, {1,43}, {13,36}, {16,22}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {8,22}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {6,46}, {15,22}, {14,46}, {6,56}, {9,30}, {5,40}, {16,31}, {8,17}, {4,22}, {6,50}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {4,32}, {2,27}, {15,35}, {15,48}, {6,17}, {4,55}, {8,54}, {13,20}, {9,48}, {3,38}, {2,43}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {8,32}, {7,52}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {6,54}, {1,46}, {1,56}, {10,34}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {15,18}, {12,26}, {1,45}, {16,56}, {6,18}, {11,20}, {7,32}, {13,38}, {13,24}, {12,51}, {4,31}, {11,54}, {3,41}, {10,33}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {7,41}, {3,44}, {8,23}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {2,17}, {11,40}, {13,42}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {12,43}, {5,39}, {6,21}, {10,45}, {7,20}, {2,54}, {16,19}, {7,18}, {10,21}, {15,56}, {3,33}, {1,24}, {2,18}, {4,53}, {16,49}, {12,37}, {2,19}, {7,33}, {12,31}, {15,47}, {4,37}, {12,29}, {4,35}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {12,55}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.209 // Bipartite(21,35) Valencies [30,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 505542895416115200000000 EdgesBipt[56][209]:={ {3,42}, {7,49}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {14,29}, {2,26}, {17,56}, {19,22}, {20,50}, {3,49}, {14,49}, {5,32}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {19,49}, {6,34}, {17,22}, {11,39}, {21,31}, 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{10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {12,36}, {13,49}, {21,39}, {3,33}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {4,53}, {16,49}, {12,37}, {5,24}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.210 // Bipartite(26,30) Valencies [30,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 106974213401669224555569614396180927409888952320000000000000 EdgesBipt[56][210]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {17,56}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {26,27}, {11,52}, {11,34}, {3,55}, {13,27}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {5,56}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {11,27}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, 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{16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {26,51}, {21,39}, {15,56}, {3,33}, {23,47}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {25,55}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {13,45}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.211 // Bipartite(25,31) Valencies [31,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 127546177517374844662409924856984951911790673920000000000000 EdgesBipt[56][211]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, 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{24,26}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {22,50}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {25,50}, {25,54}, {1,36}, {18,40}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {20,56}, {25,35}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {23,47}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {25,55}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {8,50}, {17,47}, {21,38}, {25,37}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.212 // Bipartite(24,32) Valencies [32,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 163259107222239801167884703816940738447092062617600000000000 EdgesBipt[56][212]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, 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{5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {23,47}, {19,25}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.213 // Bipartite(12,44) Valencies [33,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 78965813788280732411913830400000000 EdgesBipt[56][213]:={ {7,48}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {5,56}, {4,28}, {2,55}, {8,51}, {5,45}, {3,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {2,49}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,39}, {5,32}, {4,51}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {1,52}, {8,13}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {12,20}, {5,41}, {8,52}, {1,13}, {7,27}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {12,31}, {3,52}, {12,40}, {1,24}, {2,15}, {12,23}, {5,37}, {12,13}, {9,56}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {7,56}, {10,35}, {4,23}, {11,18}, {5,50}, {4,49}, {12,52}, {2,29}, {5,34}, {1,38}, {1,26}, {8,49}, {10,51}, {7,15}, {9,36}, {6,34}, {9,29}, {11,51}, {12,49}, {9,20}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {3,51}, {11,22}, {9,13}, {6,27}, {2,30}, {5,53}, {11,42}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {1,30}, {2,13}, {8,56}, {12,15}, {8,15}, {12,47}, {12,56}, {8,17}, {4,53}, {11,36}, {3,30}, {3,55}, {3,16}, {11,23}, {3,24}, {11,16}, {2,51}, {10,38}, {10,46}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {7,46}, {8,45}, {11,52}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {12,55}, {9,54}, {10,19}, {9,22}, {12,41}, {3,44}, {4,47}, {11,44}, {11,34}, {7,35}, {11,46}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {8,53}, {3,32}, {7,28}, {6,45}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {10,25}, {12,29}, {6,31}, {11,32}, {9,52}, {11,54}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {10,54}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {9,24}, {2,19}, {4,44}, {2,54}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {9,21}, {10,21}, {11,56}, {8,29}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {1,45}, {10,50}, {10,15}, {3,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {11,47}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {12,36}, {2,53}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {12,53}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {6,54}, {7,51}, {11,31}, {1,53}, {3,15}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {8,44}, {6,42}, {4,35}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {11,28}, {7,16}, {5,16}, {5,18}, {8,55}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {6,21}, {9,45}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {6,55}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {11,55}, {4,20}, {8,20}, {5,44}, {5,13}, {5,25}, {9,53}, {10,23}, {4,52}, {1,46}, {4,19}, {8,39}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {4,39}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {6,50}, {1,37}, {8,25}, {2,42}, {4,48}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {5,30}, {10,49}, {11,38}, {9,37} }; // ETB56.214 // Bipartite(23,33) Valencies [33,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 224481272430579726605841467748293515364751586099200000000000 EdgesBipt[56][214]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, 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{19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {23,47}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.215 // Bipartite(22,34) Valencies [34,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 331841880984335248026026517540955631408763214233600000000000 EdgesBipt[56][215]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, 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{19,47}, {13,34}, {14,56}, {20,24}, {22,50}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.216 // Bipartite(16,40) Valencies [35,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 443823666757632000000000 EdgesBipt[56][216]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {15,50}, {8,36}, {9,21}, {1,18}, {8,20}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, 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{16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {12,17}, {9,42}, {9,19}, {16,37}, {1,54}, {13,32}, {10,24}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, 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{4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {13,24}, {12,51}, {7,44}, {11,46}, {4,31}, {11,54}, {3,41}, {15,39}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {14,44}, {3,21}, {1,36}, {13,30}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {11,40}, {13,42}, {16,18}, {5,44}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {16,53}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {5,17}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {8,53}, {6,41}, {12,46}, {5,54}, {2,31} }; // ETB56.217 // Bipartite(21,35) Valencies [35,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 527930265202351530950496732451520322695759659008000000000000 EdgesBipt[56][217]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {9,22}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {21,55}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {11,56}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {21,22}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {21,54}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {15,56}, {3,33}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.218 // Bipartite(8,48) Valencies [36,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20215248329799867497449940582400000000 EdgesBipt[56][218]:={ {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {2,55}, {8,51}, {5,45}, {3,26}, {1,49}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,39}, {5,32}, {4,51}, {7,30}, {6,9}, {8,31}, {4,40}, {4,37}, {2,46}, {6,14}, {2,33}, {1,12}, {6,29}, {1,20}, {3,18}, {8,16}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {8,13}, {8,12}, {1,17}, {1,9}, {4,16}, {1,10}, {8,37}, {4,13}, {7,11}, {5,41}, {8,52}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {7,56}, {4,23}, {5,50}, {4,49}, {2,29}, {5,34}, {1,38}, {1,26}, {8,49}, {7,15}, {6,34}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {3,47}, {1,42}, {7,32}, {3,31}, {3,51}, {5,12}, {6,27}, {2,30}, {5,53}, {4,9}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {1,30}, {2,13}, {8,56}, {8,15}, {8,17}, {4,53}, {3,30}, {3,55}, {3,16}, {3,24}, {2,51}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {6,13}, {1,25}, {6,19}, {4,17}, {8,53}, {3,32}, {7,28}, {6,45}, {6,11}, {5,40}, {7,23}, {6,22}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,15}, {1,48}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {2,19}, {4,44}, {2,54}, {7,40}, {2,41}, {5,20}, {2,26}, {8,29}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {4,12}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,42}, {4,35}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {5,18}, {8,55}, {5,17}, {3,40}, {8,35}, {6,21}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {6,55}, {6,53}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {8,39}, {3,12}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {8,25}, {2,42}, {2,9}, {4,48}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {5,30} }; // ETB56.219 // Bipartite(8,48) Valencies [36,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3249918613389312 EdgesBipt[56][219]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {4,31}, {6,15}, {8,40}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {1,35}, {4,51}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {6,14}, {2,33}, {6,32}, {3,49}, {1,12}, {6,29}, {8,16}, {2,34}, {2,25}, {4,24}, {4,43}, {2,52}, {8,30}, {8,13}, {1,17}, {1,9}, {4,16}, {8,46}, {4,13}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {2,48}, {2,15}, {5,37}, {1,29}, {2,56}, {6,46}, {7,56}, {4,23}, {8,38}, {5,50}, {4,49}, {2,29}, {5,34}, {1,38}, {3,17}, {2,36}, {8,22}, {1,43}, {8,42}, {7,54}, {5,54}, {6,51}, {8,19}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {8,18}, {4,18}, {3,47}, {7,32}, {3,31}, {3,51}, {1,39}, {5,12}, {5,53}, {5,35}, {3,36}, {4,21}, {8,48}, {4,32}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {2,24}, {3,24}, {6,16}, {7,12}, {8,24}, {8,47}, {4,10}, {5,14}, {7,46}, {8,45}, {1,41}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {5,52}, {6,30}, {2,12}, {7,50}, {4,33}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {7,28}, {6,45}, {2,16}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {1,44}, {4,15}, {7,49}, {1,48}, {6,23}, {7,39}, {3,41}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {8,32}, {7,24}, {5,31}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,20}, {3,53}, {2,26}, {2,28}, {8,29}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,33}, {1,45}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {2,53}, {3,14}, {3,11}, {2,37}, {4,42}, {5,29}, {3,28}, {5,9}, {5,47}, {4,12}, {6,54}, {8,14}, {7,10}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,42}, {4,35}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {1,23}, {5,18}, {8,55}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {7,38}, {2,38}, {7,9}, {6,55}, {6,53}, {7,44}, {7,43}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {3,46}, {4,56}, {5,30} }; // ETB56.220 // Bipartite(14,42) Valencies [36,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 64709490613262745600000000 EdgesBipt[56][220]:={ {3,42}, {7,49}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {2,20}, {2,26}, {3,49}, {14,49}, {5,32}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {3,55}, {13,27}, {12,25}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {6,34}, {11,39}, {2,21}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {13,17}, {11,36}, {14,22}, {11,21}, {1,55}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {13,54}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {12,38}, {11,44}, {13,33}, {1,26}, {9,27}, {1,25}, {14,51}, {5,46}, {12,44}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {12,56}, {6,24}, {8,47}, {10,50}, {2,44}, {2,45}, {10,48}, {9,20}, {14,23}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {12,50}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {7,37}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {7,43}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {8,41}, {2,40}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {2,49}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {13,20}, {9,48}, {13,21}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {8,15}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {11,43}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {12,51}, {7,44}, {11,46}, {9,56}, {11,54}, {3,41}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {8,23}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {12,43}, {5,39}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {12,31}, {1,15}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {13,16}, {8,53}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.221 // Bipartite(20,36) Valencies [36,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 905023311775459767343708684202606267478445129728000000000000 EdgesBipt[56][221]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {19,28}, {20,37}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,21}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {20,55}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.222 // Bipartite(19,37) Valencies [37,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1674293126784600569585861065774821594835123489996800000000000 EdgesBipt[56][222]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {19,22}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {2,56}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {19,28}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.223 // Bipartite(18,38) Valencies [38,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3348586253569201139171722131549643189670246979993600000000000 EdgesBipt[56][223]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, 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{9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.224 // Bipartite(4,52) Valencies [39,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36085481721713375974666734560870400000000 EdgesBipt[56][224]:={ {1,20}, {2,33}, {4,27}, {2,46}, {4,24}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {1,56}, {4,56}, {2,23}, {1,13}, {2,51}, {3,6}, {4,29}, {1,32}, {3,43}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {2,27}, {3,35}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,14}, {1,30}, {4,23}, {2,54}, {2,42}, {3,18}, {3,7}, {2,45}, {3,34}, {2,25}, {3,46}, {1,38}, {2,34}, {1,17}, {1,50}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {4,41}, {2,10}, {2,38}, {2,37}, {2,39}, {3,56}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {4,52}, {1,29}, {3,39}, {3,32}, {4,35}, {1,12}, {2,6}, {4,48}, {1,45}, {1,9}, {4,55}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,10}, {3,26}, {1,52}, {2,17}, {4,36}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {2,7}, {1,25}, {1,46}, {1,53}, {2,11}, {4,5}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {1,16}, {3,48}, {2,47}, {4,49}, {2,31}, {3,55}, {3,42}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {1,48}, {3,54}, {3,31}, {1,14}, {1,6}, {2,55}, {3,47}, {2,30}, {2,18}, {1,54}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB56.225 // Bipartite(14,42) Valencies [39,13] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6831653917205672755200 EdgesBipt[56][225]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {12,22}, {10,42}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {14,51}, {3,51}, {5,46}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,51}, {12,18}, {8,30}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {9,52}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {11,53}, {2,51}, {12,49}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {9,35}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {9,43}, {11,51}, {6,53}, {4,40}, {2,16}, {12,54}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {11,54}, {3,41}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {2,17}, {11,40}, {13,42}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.226 // Bipartite(17,39) Valencies [39,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255270216066602468205397951690893577618868456652800000000000 EdgesBipt[56][226]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {17,54}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,18}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.227 // Bipartite(16,40) Valencies [40,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17071224037803770513424465768684455476750278721536000000000000 EdgesBipt[56][227]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {4,53}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.228 // Bipartite(15,41) Valencies [41,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43745011596872161940650193532253917159172589223936000000000000 EdgesBipt[56][228]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {15,16}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.229 // Bipartite(7,49) Valencies [42,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 416336312719673760153600000000 EdgesBipt[56][229]:={ {6,52}, {7,48}, {6,38}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {5,45}, {3,26}, {5,11}, {1,40}, {2,35}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,20}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,14}, {2,33}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {5,37}, {1,36}, {1,29}, {2,56}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {1,38}, {1,26}, {3,17}, {7,15}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {7,32}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,55}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {1,51}, {4,11}, {4,47}, {3,25}, {6,8}, {7,35}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,43}, {6,37}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {2,26}, {3,53}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {6,55}, {5,10}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,25}, {1,46}, {4,19}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,33}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB56.230 // Bipartite(8,48) Valencies [42,7] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2911927077596823552000000000 EdgesBipt[56][230]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {5,56}, {2,55}, {8,51}, {5,45}, {8,26}, {1,49}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,14}, {6,32}, {4,38}, {3,49}, {1,12}, {1,20}, {2,34}, {8,16}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {7,33}, {3,52}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {8,19}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {3,22}, {1,44}, {4,14}, {4,15}, {7,49}, {6,23}, {3,41}, {7,39}, {4,29}, {1,54}, {7,52}, {6,43}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {2,54}, {7,40}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {7,25}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {2,38}, {7,9}, {6,55}, {5,10}, {7,44}, {8,28}, {7,43}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB56.231 // Bipartite(14,42) Valencies [42,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 122486032471242053433820541890310968045683249827020800000000000 EdgesBipt[56][231]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.232 // Bipartite(13,43) Valencies [43,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 376207099733100592689591664377383687568884267325849600000000000 EdgesBipt[56][232]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {6,56}, {9,30}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.233 // Bipartite(12,44) Valencies [44,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1273316337558186621410925633277298634848531366333644800000000000 EdgesBipt[56][233]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.234 // Bipartite(11,45) Valencies [45,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4774936265843199830290971124789869880681992623751168000000000000 EdgesBipt[56][234]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {10,15}, {10,49}, {6,41}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.235 // Bipartite(10,46) Valencies [46,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19967915293526108381216788340030364955579241881141248000000000000 EdgesBipt[56][235]:={ {3,42}, {7,49}, {6,36}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {3,47}, {6,48}, {3,55}, {3,17}, {2,11}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {7,13}, {10,13}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {10,25}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {9,22}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,35}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {10,11}, {8,55}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {1,11}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {1,34}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {7,32}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {6,38}, {8,48}, {2,17}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {5,11}, {6,41}, {10,15}, {10,49}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB56.236 // Bipartite(9,47) Valencies [47,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 93849201879572709391718905198142715291222436841363865600000000000 EdgesBipt[56][236]:={ {6,52}, {7,48}, {6,38}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {5,56}, {4,28}, {5,43}, {2,55}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {9,55}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {4,12}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {9,37}, {6,40} }; // ETB56.237 // Bipartite(8,48) Valencies [48,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 500529076691054450089167494390094481553186329820607283200000000000 EdgesBipt[56][237]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {2,55}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {4,12}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB56.238 // Bipartite(7,49) Valencies [49,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3065740594732708506796150903139328699513266270151219609600000000000 EdgesBipt[56][238]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB56.239 // Bipartite(6,50) Valencies [50,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21898147105233632191401077879566633567951901929651568640000000000000 EdgesBipt[56][239]:={ {6,52}, {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {6,17}, {5,28}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {4,34}, {6,22}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {6,37}, {6,43}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {1,8}, {4,12}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {6,53}, {6,55}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB56.240 // Bipartite(5,51) Valencies [51,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 186134250394485873626909161976316385327591166402038333440000000000000 EdgesBipt[56][240]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {2,46}, {4,27}, {5,34}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {5,55}, {2,51}, {5,38}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {5,56}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {4,55}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {5,54}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {5,51}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {1,54}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB56.241 // Bipartite(4,52) Valencies [52,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1935796204102653085719855284553690407406948130581198667776000000000000 EdgesBipt[56][241]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,20}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,55}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {2,18}, {1,54}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB56.242 // Bipartite(3,53) Valencies [53,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 25649299704360153385788082520336397898142062730200882348032000000000000 EdgesBipt[56][242]:={ {1,15}, {3,15}, {1,43}, {2,38}, {3,56}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {3,53}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {1,55}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {3,47}, {2,9}, {1,4}, {3,5}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,52}, {3,4}, {2,43}, {3,35}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB56.243 // Bipartite(2,54) Valencies [54,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 461687394678482760944185485366055162166557129143615882264576000000000000 EdgesBipt[56][243]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,9}, {1,4}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB56.244 // Bipartite(1,55) Valencies [55,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 12696403353658275925965100847566516959580321051449436762275840000000000000 EdgesBipt[56][244]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,56}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 56 is 244 // ******************************************************************************************** // Order 57 // ETB57.1 // Bipartite(19,38) Valencies [4,2] // Diameter 19 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19922944 EdgesBipt[57][1]:={ {8,54}, {16,50}, {18,32}, {4,24}, {5,36}, {13,28}, {9,45}, {19,29}, {5,55}, {4,41}, {16,52}, {17,28}, {18,51}, {11,25}, {7,23}, {19,50}, {12,33}, {17,47}, {18,49}, {1,39}, {2,40}, {16,31}, {11,27}, {13,26}, {15,29}, {4,43}, {11,44}, {15,27}, {1,20}, {10,36}, {14,34}, {3,37}, {10,55}, {6,40}, {16,33}, {3,20}, {15,48}, {2,21}, {17,49}, {8,37}, {9,24}, {12,52}, {15,46}, {10,34}, {5,38}, {11,46}, {14,53}, {6,38}, {9,43}, {19,48}, {6,57}, {14,32}, {18,30}, {6,21}, {7,25}, {5,57}, {14,51}, {8,35}, {10,53}, {4,22}, {3,39}, {2,42}, {12,35}, {17,30}, {2,23}, {13,47}, {19,31}, {9,26}, {8,56}, {1,41}, {7,42}, {1,22}, {3,56}, {13,45}, {7,44}, {12,54} }; // ETB57.2 // Bipartite(19,38) Valencies [6,3] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 114 EdgesBipt[57][2]:={ {11,43}, {5,32}, {9,40}, {6,39}, {12,49}, {1,43}, {10,22}, {18,40}, {19,44}, {11,55}, {17,27}, {6,36}, {8,51}, {3,46}, {4,27}, {13,54}, {15,55}, {5,35}, {13,57}, {3,53}, {15,44}, {12,31}, {5,24}, {18,37}, {2,33}, {16,23}, {16,56}, {13,27}, {8,42}, {14,35}, {19,38}, {13,38}, {14,20}, {10,45}, {3,31}, {10,47}, {15,32}, {12,56}, {18,24}, {7,28}, {11,34}, {1,34}, {19,54}, {8,33}, {7,26}, {6,49}, {1,22}, {14,30}, {3,40}, {2,36}, {15,36}, {10,39}, {16,26}, {5,55}, {5,43}, {14,45}, {3,23}, {4,45}, {13,53}, {19,29}, {2,42}, {4,30}, {17,33}, {9,54}, {10,29}, {1,26}, {17,51}, {6,29}, {18,35}, {4,38}, {12,23}, {11,50}, {4,51}, {15,21}, {3,57}, {2,21}, {6,56}, {9,53}, {14,37}, {9,24}, {11,25}, {2,49}, {13,28}, {16,22}, {5,48}, {11,21}, {16,46}, {8,52}, {17,50}, {1,20}, {12,42}, {18,52}, {15,41}, {7,46}, {19,41}, {2,25}, {19,47}, {18,31}, {7,50}, {10,20}, {9,41}, {8,37}, {9,32}, {12,52}, {8,30}, {17,28}, {6,44}, {14,48}, {4,47}, {7,34}, {16,39}, {1,48}, {17,25}, {7,57} }; // ETB57.3 // Bipartite(19,38) Valencies [6,3] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29884416 EdgesBipt[57][3]:={ {7,43}, {4,35}, {16,25}, {16,34}, {7,39}, {19,45}, {18,41}, {19,49}, {15,23}, {14,25}, {17,47}, {10,22}, {5,52}, {5,42}, {6,36}, {8,51}, {8,36}, {7,24}, {3,54}, {13,24}, {12,40}, {12,31}, {8,55}, {6,40}, {13,43}, {8,42}, {14,35}, {3,45}, {15,29}, {12,25}, {1,52}, {10,47}, {18,51}, {1,29}, {16,53}, {12,21}, {5,33}, {5,23}, {13,33}, {19,30}, {9,43}, {19,26}, {6,46}, {6,21}, {10,41}, {13,56}, {9,34}, {10,37}, {7,20}, {11,46}, {4,31}, {2,34}, {16,57}, {6,55}, {7,49}, {15,57}, {2,40}, {7,30}, {14,44}, {2,53}, {11,37}, {17,51}, {19,55}, {11,50}, {18,32}, {12,44}, {3,35}, {5,46}, {2,21}, {15,42}, {5,27}, {10,28}, {1,39}, {9,53}, {8,32}, {9,28}, {4,22}, {11,31}, {3,26}, {19,36}, {9,24}, {2,49}, {8,23}, {10,56}, {11,27}, {16,44}, {3,39}, {1,20}, {4,54}, {9,47}, {15,38}, {17,38}, {18,45}, {3,20}, {4,50}, {1,33}, {14,29}, {13,52}, {14,54}, {16,38}, {17,32}, {18,22}, {17,28}, {6,27}, {14,48}, {4,41}, {12,50}, {13,37}, {17,57}, {2,30}, {1,48}, {11,56}, {18,26}, {15,48} }; // ETB57.4 // Bipartite(27,30) Valencies [10,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2166612408926208000000 EdgesBipt[57][4]:={ {15,33}, {19,28}, {11,40}, {10,37}, {9,32}, {5,38}, {5,56}, {16,51}, {5,43}, {25,57}, {1,49}, {13,37}, {1,40}, {14,38}, {17,42}, {15,54}, {14,50}, {4,31}, {3,35}, {20,46}, {11,57}, {14,31}, {24,54}, {21,41}, {24,36}, {14,56}, {6,48}, {19,37}, {21,28}, {5,32}, {4,37}, {20,52}, {2,46}, {13,43}, {24,48}, {23,44}, {27,56}, {14,44}, {2,33}, {17,35}, {21,53}, {15,57}, {19,40}, {2,34}, {22,55}, {22,37}, {19,31}, {12,28}, {21,40}, {4,43}, {18,32}, {1,52}, {2,52}, {4,30}, {23,38}, {8,30}, {12,46}, {7,45}, {23,31}, {13,30}, {6,39}, {11,39}, {26,29}, {22,42}, {7,33}, {3,52}, {12,40}, {27,50}, {24,30}, {15,30}, {20,39}, {19,52}, {5,37}, {27,32}, {27,41}, {26,35}, {13,55}, {18,35}, {24,45}, {9,56}, {23,43}, {13,42}, {9,35}, {15,45}, {7,56}, {27,53}, {17,47}, {9,47}, {12,52}, {4,49}, {5,50}, {17,36}, {18,47}, {14,32}, {26,36}, {18,29}, {1,43}, {9,29}, {11,51}, {8,42}, {22,43}, {6,51}, {19,46}, {18,56}, {2,39}, {26,42}, {3,47}, {7,32}, {1,31}, {25,33}, {13,49}, {19,49}, {17,29}, {8,48}, {26,41}, {25,44}, {22,49}, {12,47}, {6,36}, {1,55}, {13,48}, {22,48}, {21,47}, {16,57}, {2,51}, {20,51}, {10,46}, {11,33}, {10,55}, {8,47}, {8,41}, {9,38}, {18,38}, {17,54}, {3,29}, {11,52}, {13,36}, {25,32}, {12,41}, {26,54}, {24,39}, {11,34}, {11,46}, {16,56}, {22,30}, {6,30}, {7,50}, {10,31}, {22,31}, {23,56}, {13,31}, {19,55}, {8,53}, {18,44}, {6,45}, {17,30}, {25,45}, {26,47}, {12,29}, {10,52}, {14,43}, {27,35}, {14,37}, {9,41}, {25,38}, {16,45}, {7,39}, {3,41}, {4,36}, {15,39}, {9,44}, {25,50}, {24,51}, {6,57}, {10,28}, {26,48}, {5,31}, {26,53}, {19,34}, {16,44}, {17,41}, {3,53}, {18,41}, {10,40}, {14,55}, {23,37}, {26,30}, {2,28}, {8,29}, {21,52}, {8,36}, {2,45}, {21,46}, {4,55}, {23,32}, {3,34}, {19,43}, {20,57}, {27,47}, {25,39}, {16,38}, {11,45}, {20,28}, {24,57}, {4,42}, {16,50}, {12,53}, {23,55}, {3,28}, {21,34}, {2,57}, {21,35}, {6,54}, {27,29}, {7,51}, {14,49}, {20,33}, {15,48}, {9,50}, {15,42}, {1,34}, {23,49}, {21,29}, {12,34}, {6,42}, {27,44}, {15,51}, {18,53}, {5,49}, {13,54}, {20,34}, {20,45}, {11,28}, {5,55}, {10,34}, {16,33}, {17,53}, {3,40}, {8,35}, {2,40}, {8,54}, {18,50}, {16,39}, {1,28}, {7,38}, {23,50}, {15,36}, {10,43}, {7,44}, {24,42}, {20,40}, {5,44}, {22,54}, {9,53}, {22,36}, {1,46}, {24,33}, {12,35}, {1,37}, {16,32}, {4,48}, {7,57}, {6,33}, {25,56}, {3,46}, {17,48}, {4,54}, {10,49}, {25,51}, {27,38} }; // ETB57.5 // Bipartite(19,38) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 59768832 EdgesBipt[57][5]:={ {17,57}, {19,20}, {10,25}, {1,20}, {14,56}, {2,33}, {12,29}, {11,35}, {4,24}, {16,33}, {3,40}, {17,38}, {4,53}, {18,32}, {12,56}, {4,50}, {4,30}, {16,27}, {18,46}, {14,39}, {2,23}, {9,45}, {12,22}, {7,38}, {8,42}, {8,54}, {16,57}, {19,44}, {18,38}, {9,55}, {18,50}, {1,32}, {12,38}, {19,24}, {7,54}, {10,26}, {17,20}, {5,56}, {4,31}, {12,41}, {15,44}, {12,42}, {3,35}, {13,53}, {5,47}, {9,43}, {14,31}, {7,34}, {11,41}, {17,24}, {16,25}, {14,50}, {18,21}, {10,44}, {8,25}, {13,47}, {8,44}, {8,31}, {12,37}, {12,50}, {2,42}, {13,55}, {19,21}, {6,22}, {15,25}, {10,30}, {15,45}, {19,33}, {6,47}, {6,21}, {3,46}, {10,48}, {11,33}, {6,40}, {2,34}, {4,22}, {10,38}, {7,57}, {19,40}, {7,20}, {9,32}, {15,32}, {9,26}, {16,53}, {18,57}, {15,40}, {5,29}, {4,41}, {2,52}, {5,43}, {14,30}, {17,51}, {7,39}, {5,25}, {17,39}, {15,26}, {17,23}, {16,52}, {11,22}, {2,53}, {1,22}, {1,51}, {6,55}, {6,30}, {10,29}, {3,20}, {6,49}, {2,48}, {16,37}, {17,43}, {1,29}, {3,39}, {7,53}, {19,52}, {4,35}, {15,41}, {8,36}, {7,26}, {15,53}, {11,23}, {13,43}, {17,30}, {9,56}, {5,24}, {9,37}, {17,49}, {13,23}, {15,34}, {5,48}, {6,56}, {8,35}, {13,28}, {19,31}, {1,28}, {18,27}, {3,27}, {14,37}, {18,47}, {9,51}, {4,54}, {4,43}, {1,33}, {10,45}, {3,29}, {16,38}, {5,28}, {13,36}, {18,31}, {1,52}, {11,54}, {12,57}, {10,55}, {7,47}, {11,52}, {5,54}, {8,32}, {12,23}, {13,24}, {5,44}, {8,23}, {1,39}, {14,49}, {3,21}, {11,46}, {16,44}, {6,41}, {6,28}, {13,27}, {13,46}, {13,42}, {14,20}, {15,21}, {16,34}, {16,56}, {7,28}, {11,26}, {14,45}, {6,36}, {2,21}, {2,29}, {11,27}, {18,28}, {4,34}, {10,36}, {3,48}, {8,50}, {15,22}, {15,51}, {19,39}, {19,43}, {10,49}, {1,47}, {4,49}, {2,40}, {18,51}, {9,33}, {9,36}, {3,55}, {8,55}, {19,25}, {16,46}, {10,57}, {12,48}, {9,52}, {11,45}, {7,45}, {1,41}, {19,50}, {1,48}, {3,54}, {9,24}, {18,40}, {8,51}, {14,46}, {12,31}, {6,37}, {13,34}, {17,42}, {7,35}, {2,30}, {5,35}, {5,37}, {17,32}, {11,42}, {3,36}, {14,27}, {2,49}, {14,26} }; // ETB57.6 // Bipartite(15,42) Valencies [14,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2520 EdgesBipt[57][6]:={ {11,17}, {10,24}, {14,56}, {6,16}, {11,36}, {2,46}, {11,56}, {13,40}, {4,24}, {14,19}, {3,40}, {15,46}, {10,37}, {4,53}, {14,51}, {4,56}, {2,23}, {8,43}, {9,45}, {7,38}, {8,54}, {4,29}, {1,32}, {3,45}, {8,33}, {1,27}, {3,25}, {13,57}, {14,38}, {12,39}, {12,41}, {9,49}, {15,44}, {10,33}, {2,27}, {13,53}, {9,43}, {13,35}, {14,31}, {15,54}, {14,50}, {10,44}, {12,34}, {14,28}, {4,23}, {8,27}, {11,50}, {10,53}, {15,16}, {6,22}, {6,29}, {3,34}, {5,40}, {3,46}, {10,48}, {6,40}, {2,34}, {2,36}, {7,56}, {9,29}, {7,20}, {1,55}, {14,21}, {12,17}, {9,26}, {9,27}, {5,29}, {4,41}, {8,47}, {2,37}, {10,52}, {5,43}, {7,46}, {8,45}, {14,30}, {9,41}, {7,32}, {15,26}, {1,31}, {7,49}, {11,22}, {2,53}, {7,43}, {7,25}, {11,44}, {1,22}, {3,44}, {6,30}, {4,47}, {4,33}, {5,23}, {13,22}, {6,49}, {10,21}, {9,42}, {2,20}, {13,49}, {6,18}, {13,18}, {14,53}, {4,52}, {12,43}, {1,29}, {4,35}, {11,57}, {7,16}, {15,50}, {4,57}, {13,44}, {14,47}, {7,17}, {9,56}, {15,35}, {5,24}, {12,47}, {12,25}, {15,37}, {14,42}, {5,48}, {10,42}, {4,55}, {4,28}, {10,51}, {7,31}, {2,17}, {8,57}, {6,51}, {5,54}, {11,52}, {8,32}, {1,42}, {3,19}, {12,23}, {14,22}, {5,31}, {11,39}, {12,19}, {12,30}, {1,39}, {10,32}, {11,55}, {5,36}, {1,25}, {5,51}, {6,28}, {9,30}, {13,27}, {1,35}, {1,37}, {15,21}, {13,26}, {15,18}, {11,16}, {8,34}, {3,24}, {6,45}, {8,38}, {10,36}, {10,34}, {8,50}, {11,32}, {13,48}, {15,33}, {6,25}, {10,49}, {13,41}, {1,47}, {2,40}, {2,31}, {9,33}, {9,36}, {12,52}, {3,55}, {5,26}, {8,18}, {3,42}, {15,28}, {9,39}, {6,52}, {13,38}, {11,19}, {12,48}, {3,38}, {4,20}, {11,45}, {3,28}, {8,20}, {15,23}, {3,41}, {1,48}, {7,24}, {3,54}, {15,39}, {9,46}, {8,51}, {2,55}, {6,37}, {5,19}, {6,20}, {7,35}, {2,30}, {13,17}, {1,54}, {7,21}, {5,57}, {12,18}, {12,21}, {2,50}, {14,26}, {5,16} }; // ETB57.7 // Bipartite(15,42) Valencies [14,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11800915893414789120000000 EdgesBipt[57][7]:={ {2,24}, {11,20}, {13,32}, {14,56}, {12,29}, {11,56}, {4,24}, {12,51}, {12,45}, {4,30}, {7,48}, {2,23}, {8,43}, {8,28}, {3,43}, {3,25}, {1,40}, {7,54}, {9,44}, {4,19}, {14,38}, {12,39}, {7,22}, {4,31}, {8,52}, {12,41}, {15,44}, {10,33}, {3,35}, {3,37}, {7,34}, {12,35}, {7,36}, {14,50}, {8,25}, {2,41}, {8,31}, {2,54}, {11,50}, {2,42}, {10,22}, {13,55}, {11,28}, {3,17}, {8,16}, {13,56}, {15,45}, {6,21}, {14,23}, {15,56}, {11,38}, {6,31}, {1,17}, {9,48}, {2,36}, {8,19}, {3,49}, {9,32}, {12,17}, {15,32}, {9,26}, {10,52}, {7,46}, {4,42}, {15,26}, {11,22}, {2,53}, {10,28}, {2,35}, {11,44}, {1,22}, {15,27}, {6,55}, {6,43}, {9,54}, {6,49}, {10,21}, {9,42}, {13,49}, {14,53}, {2,48}, {10,40}, {9,50}, {1,29}, {7,30}, {13,31}, {7,16}, {6,33}, {15,50}, {5,18}, {1,23}, {13,43}, {13,44}, {5,30}, {13,50}, {14,47}, {9,56}, {5,24}, {12,47}, {4,48}, {8,22}, {5,48}, {13,25}, {15,20}, {4,55}, {9,20}, {1,28}, {14,41}, {4,54}, {10,46}, {4,43}, {10,45}, {3,29}, {8,37}, {10,51}, {5,42}, {1,52}, {12,33}, {2,17}, {4,36}, {12,57}, {6,51}, {12,27}, {11,52}, {5,54}, {14,17}, {3,19}, {12,23}, {6,27}, {8,40}, {12,53}, {3,23}, {5,36}, {6,19}, {1,46}, {11,46}, {5,51}, {1,53}, {9,30}, {10,39}, {1,35}, {14,20}, {15,21}, {5,39}, {7,28}, {4,37}, {11,26}, {13,26}, {3,53}, {11,16}, {13,19}, {8,34}, {5,33}, {9,18}, {2,29}, {10,27}, {6,45}, {14,44}, {1,16}, {10,34}, {15,51}, {11,32}, {14,32}, {15,33}, {2,47}, {6,25}, {1,47}, {4,49}, {11,40}, {9,36}, {3,55}, {5,27}, {15,38}, {8,55}, {8,49}, {10,57}, {4,18}, {13,38}, {9,38}, {4,25}, {15,57}, {8,46}, {14,35}, {1,41}, {13,37}, {5,45}, {3,41}, {7,24}, {3,31}, {15,39}, {9,24}, {6,39}, {6,37}, {11,34}, {3,47}, {5,21}, {2,30}, {13,20}, {2,18}, {1,34}, {7,52}, {7,40}, {7,42}, {5,57}, {6,57}, {12,21}, {14,29}, {14,26}, {7,18}, {10,16} }; // ETB57.8 // Bipartite(12,45) Valencies [15,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[57][8]:={ {6,48}, {8,48}, {3,33}, {2,24}, {11,20}, {9,28}, {6,32}, {11,36}, {2,46}, {4,24}, {8,30}, {7,48}, {8,43}, {5,38}, {2,51}, {8,28}, {3,25}, {10,23}, {1,40}, {7,54}, {2,15}, {4,19}, {9,44}, {12,39}, {8,52}, {10,33}, {9,43}, {7,34}, {11,41}, {7,51}, {12,35}, {3,52}, {10,44}, {5,32}, {4,23}, {8,27}, {12,50}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {5,40}, {2,34}, {7,56}, {1,50}, {4,22}, {3,49}, {7,57}, {7,20}, {10,47}, {9,26}, {9,27}, {12,36}, {1,44}, {8,41}, {2,38}, {8,45}, {4,42}, {2,39}, {7,32}, {11,13}, {11,15}, {3,56}, {11,31}, {1,22}, {1,51}, {10,29}, {10,31}, {9,34}, {9,42}, {4,52}, {9,50}, {2,16}, {11,21}, {4,35}, {9,25}, {7,16}, {4,57}, {1,23}, {11,29}, {5,30}, {6,44}, {5,24}, {5,46}, {12,28}, {12,25}, {8,22}, {1,45}, {8,56}, {4,55}, {4,13}, {7,14}, {3,27}, {10,46}, {10,13}, {10,45}, {3,29}, {12,26}, {9,22}, {12,33}, {11,54}, {6,15}, {5,41}, {4,36}, {2,17}, {7,47}, {8,21}, {3,19}, {9,57}, {6,27}, {1,49}, {11,39}, {6,26}, {8,40}, {12,40}, {12,53}, {3,23}, {10,32}, {11,55}, {12,14}, {3,21}, {6,19}, {1,46}, {6,54}, {1,53}, {6,41}, {1,15}, {9,30}, {1,37}, {5,39}, {7,28}, {4,37}, {6,42}, {3,53}, {5,33}, {10,17}, {4,51}, {9,17}, {2,47}, {6,38}, {6,34}, {3,55}, {11,47}, {8,49}, {5,26}, {10,57}, {10,56}, {4,25}, {3,38}, {4,20}, {11,45}, {5,13}, {8,20}, {1,48}, {9,24}, {1,14}, {2,55}, {6,37}, {12,31}, {10,14}, {7,35}, {11,43}, {6,53}, {5,35}, {2,18}, {9,31}, {5,37}, {7,19}, {2,43}, {11,42}, {12,54}, {5,52}, {12,18}, {1,36}, {12,21}, {2,50}, {2,49}, {7,18}, {5,16} }; // ETB57.9 // Bipartite(12,45) Valencies [15,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23776267862016000000000 EdgesBipt[57][9]:={ {8,48}, {11,17}, {11,53}, {2,24}, {5,17}, {10,25}, {2,33}, {6,32}, {7,15}, {11,35}, {4,26}, {2,56}, {4,16}, {12,45}, {4,53}, {8,30}, {5,55}, {1,13}, {9,45}, {2,51}, {12,32}, {8,42}, {1,32}, {3,45}, {8,33}, {3,43}, {3,25}, {7,41}, {1,40}, {10,26}, {2,15}, {7,22}, {4,31}, {12,41}, {12,55}, {9,43}, {8,39}, {7,51}, {3,52}, {10,44}, {8,15}, {12,37}, {12,50}, {2,42}, {10,22}, {10,53}, {3,18}, {11,28}, {3,34}, {1,50}, {9,47}, {4,22}, {9,29}, {9,27}, {12,36}, {2,38}, {8,47}, {12,46}, {10,52}, {2,39}, {7,32}, {3,56}, {1,31}, {7,49}, {7,13}, {11,44}, {1,22}, {1,51}, {6,55}, {9,54}, {3,20}, {10,31}, {9,34}, {2,20}, {2,57}, {6,18}, {2,48}, {4,52}, {10,40}, {7,50}, {11,21}, {4,35}, {11,57}, {9,25}, {6,50}, {1,23}, {5,30}, {6,46}, {9,56}, {11,30}, {5,46}, {12,28}, {5,48}, {8,56}, {9,20}, {4,13}, {7,14}, {3,27}, {4,43}, {1,33}, {10,13}, {3,29}, {6,23}, {5,28}, {7,31}, {10,43}, {8,57}, {12,27}, {8,21}, {1,42}, {1,24}, {12,23}, {6,27}, {1,49}, {5,44}, {11,39}, {12,19}, {11,55}, {12,14}, {6,19}, {11,46}, {6,54}, {6,41}, {1,15}, {6,28}, {6,14}, {5,39}, {3,16}, {11,26}, {4,40}, {10,35}, {7,23}, {6,36}, {2,21}, {9,18}, {10,17}, {11,37}, {2,29}, {6,45}, {8,38}, {4,34}, {10,34}, {8,24}, {2,47}, {10,49}, {4,49}, {9,36}, {5,26}, {9,38}, {11,19}, {4,25}, {3,38}, {9,52}, {11,48}, {8,20}, {1,41}, {7,24}, {3,54}, {1,14}, {8,51}, {7,33}, {6,37}, {3,47}, {5,19}, {5,21}, {2,30}, {5,35}, {5,37}, {4,17}, {3,36}, {9,16}, {12,54}, {7,40}, {7,42}, {4,44}, {8,29}, {5,57}, {12,18}, {5,53}, {10,16} }; // ETB57.10 // Bipartite(12,45) Valencies [15,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21666124089262080 EdgesBipt[57][10]:={ {6,48}, {2,44}, {11,53}, {10,25}, {1,20}, {2,24}, {6,32}, {11,36}, {11,56}, {2,56}, {4,16}, {4,30}, {4,50}, {11,25}, {8,30}, {6,17}, {5,55}, {1,13}, {8,43}, {5,38}, {12,22}, {12,32}, {7,38}, {8,54}, {8,28}, {2,15}, {9,44}, {5,56}, {7,22}, {12,39}, {4,31}, {9,49}, {10,33}, {1,19}, {12,42}, {2,26}, {8,39}, {7,34}, {11,41}, {2,41}, {2,28}, {2,14}, {8,15}, {8,44}, {12,37}, {2,54}, {10,15}, {6,22}, {10,30}, {3,17}, {2,45}, {6,47}, {3,34}, {5,40}, {11,38}, {3,46}, {10,48}, {1,38}, {1,50}, {9,47}, {3,49}, {9,29}, {3,14}, {7,20}, {9,32}, {12,17}, {8,41}, {9,19}, {8,14}, {8,45}, {11,51}, {5,25}, {2,39}, {4,45}, {7,49}, {7,13}, {9,14}, {7,43}, {1,22}, {3,44}, {4,33}, {5,23}, {10,31}, {9,34}, {3,51}, {2,13}, {6,18}, {10,40}, {7,50}, {7,53}, {3,32}, {11,21}, {4,35}, {11,57}, {6,33}, {11,23}, {1,23}, {6,24}, {12,47}, {4,48}, {8,13}, {8,56}, {4,55}, {4,15}, {1,28}, {9,51}, {10,46}, {10,45}, {3,29}, {1,43}, {4,46}, {8,26}, {5,42}, {1,52}, {12,33}, {5,41}, {10,55}, {12,57}, {12,27}, {3,19}, {6,27}, {1,49}, {11,55}, {5,36}, {3,21}, {6,54}, {5,51}, {1,53}, {1,35}, {1,37}, {7,28}, {3,16}, {11,26}, {6,42}, {4,40}, {10,35}, {7,23}, {2,29}, {11,27}, {9,17}, {10,18}, {8,24}, {10,50}, {11,40}, {9,36}, {12,52}, {5,27}, {5,26}, {4,18}, {6,52}, {12,48}, {4,25}, {4,20}, {12,24}, {3,31}, {9,46}, {10,20}, {6,39}, {6,37}, {3,47}, {7,35}, {5,21}, {2,30}, {7,37}, {9,31}, {7,52}, {1,34}, {7,19}, {2,43}, {9,21}, {9,16}, {3,36}, {11,42}, {12,54}, {8,29}, {5,57}, {12,18}, {6,57}, {5,53}, {10,16} }; // ETB57.11 // Bipartite(12,45) Valencies [15,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2229025112064000000000 EdgesBipt[57][11]:={ {11,17}, {11,53}, {3,33}, {10,24}, {2,24}, {2,33}, {6,32}, {12,29}, {11,35}, {5,34}, {2,56}, {4,16}, {12,45}, {10,37}, {4,30}, {11,25}, {12,56}, {6,17}, {4,56}, {8,43}, {2,51}, {8,28}, {4,29}, {1,57}, {3,45}, {3,15}, {10,23}, {12,38}, {7,44}, {7,54}, {2,15}, {7,22}, {8,52}, {9,49}, {10,33}, {1,19}, {12,55}, {1,21}, {7,36}, {8,25}, {3,57}, {1,30}, {5,32}, {8,31}, {12,37}, {10,15}, {2,42}, {3,18}, {6,29}, {8,16}, {4,38}, {6,47}, {11,33}, {1,17}, {9,48}, {8,19}, {1,55}, {9,32}, {5,50}, {12,20}, {12,36}, {1,44}, {2,38}, {12,46}, {5,43}, {11,51}, {9,41}, {5,25}, {11,15}, {10,41}, {7,49}, {7,13}, {9,14}, {10,28}, {11,44}, {4,47}, {5,23}, {4,21}, {3,51}, {2,13}, {2,20}, {4,52}, {9,50}, {3,39}, {7,53}, {7,26}, {5,18}, {4,57}, {6,50}, {6,44}, {7,17}, {12,47}, {4,48}, {12,28}, {8,13}, {8,22}, {6,56}, {10,42}, {5,14}, {1,28}, {3,27}, {10,46}, {4,43}, {6,23}, {8,37}, {10,51}, {9,22}, {7,31}, {5,41}, {10,55}, {9,13}, {12,27}, {9,40}, {5,54}, {11,52}, {9,57}, {11,24}, {6,26}, {8,40}, {12,19}, {1,39}, {10,32}, {5,36}, {3,21}, {1,46}, {1,53}, {6,41}, {6,14}, {9,30}, {1,35}, {1,37}, {11,26}, {11,16}, {3,30}, {8,34}, {3,24}, {2,29}, {1,26}, {2,22}, {4,34}, {3,48}, {2,47}, {6,38}, {2,40}, {2,31}, {10,50}, {5,27}, {8,55}, {8,49}, {3,42}, {9,39}, {10,19}, {4,25}, {4,20}, {7,27}, {7,45}, {8,46}, {5,45}, {1,48}, {3,54}, {11,34}, {10,14}, {6,20}, {7,35}, {11,43}, {6,53}, {9,31}, {6,35}, {9,21}, {3,36}, {11,42}, {4,39}, {12,54}, {7,40}, {9,23}, {5,52}, {12,18}, {2,49}, {7,18}, {5,16} }; // ETB57.12 // Bipartite(12,45) Valencies [15,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56422198149120 EdgesBipt[57][12]:={ {3,33}, {5,17}, {11,20}, {2,33}, {6,16}, {7,15}, {11,35}, {11,56}, {4,26}, {12,51}, {10,37}, {4,50}, {11,25}, {12,56}, {4,56}, {1,13}, {7,38}, {8,54}, {4,29}, {9,55}, {10,23}, {12,38}, {7,54}, {2,15}, {9,44}, {2,19}, {12,41}, {1,19}, {12,42}, {5,47}, {12,55}, {5,20}, {8,39}, {11,41}, {7,51}, {7,36}, {3,57}, {9,53}, {2,28}, {5,32}, {8,44}, {11,50}, {10,15}, {10,22}, {10,53}, {3,18}, {10,30}, {2,45}, {3,34}, {2,25}, {6,31}, {2,34}, {9,48}, {9,47}, {5,22}, {4,22}, {8,19}, {9,29}, {3,49}, {10,38}, {10,47}, {9,32}, {5,50}, {12,36}, {1,44}, {4,41}, {8,47}, {10,52}, {8,14}, {7,39}, {11,15}, {3,56}, {1,31}, {7,13}, {9,14}, {7,43}, {11,31}, {1,22}, {6,43}, {4,33}, {10,31}, {2,13}, {2,48}, {4,52}, {1,29}, {7,30}, {8,17}, {3,39}, {7,53}, {4,35}, {9,25}, {8,36}, {6,50}, {6,24}, {6,46}, {11,30}, {4,48}, {12,25}, {1,28}, {3,27}, {10,46}, {10,45}, {1,43}, {3,26}, {5,42}, {1,52}, {12,26}, {12,57}, {12,27}, {9,40}, {8,32}, {8,21}, {3,19}, {12,23}, {6,27}, {1,49}, {12,40}, {12,53}, {10,32}, {11,55}, {5,36}, {1,46}, {11,46}, {6,54}, {5,51}, {6,28}, {1,37}, {7,28}, {4,37}, {6,42}, {11,26}, {7,23}, {11,16}, {8,34}, {9,18}, {10,17}, {3,24}, {1,16}, {4,14}, {3,48}, {9,17}, {8,24}, {2,40}, {11,40}, {9,33}, {5,27}, {8,49}, {3,42}, {4,18}, {9,38}, {4,20}, {11,45}, {7,45}, {3,41}, {7,24}, {3,54}, {1,14}, {8,51}, {6,39}, {2,55}, {6,20}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {5,37}, {2,43}, {6,35}, {4,44}, {9,23}, {7,21}, {8,29}, {5,52}, {5,57}, {6,57}, {12,21}, {2,49}, {10,16} }; // ETB57.13 // Bipartite(9,48) Valencies [16,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 309353929596332647907328000000 EdgesBipt[57][13]:={ {6,48}, {8,48}, {2,33}, {2,46}, {7,15}, {4,24}, {8,12}, {3,22}, {3,40}, {1,10}, {4,30}, {8,30}, {5,55}, {1,13}, {5,38}, {2,51}, {7,38}, {8,42}, {8,54}, {7,44}, {1,40}, {2,15}, {4,19}, {5,56}, {9,44}, {4,31}, {1,19}, {2,27}, {3,35}, {5,20}, {7,51}, {3,52}, {9,53}, {2,28}, {5,32}, {9,35}, {9,11}, {3,17}, {2,45}, {6,21}, {3,34}, {3,46}, {2,34}, {7,56}, {9,47}, {7,57}, {9,29}, {7,20}, {1,55}, {9,32}, {5,50}, {9,26}, {2,10}, {8,41}, {8,47}, {2,52}, {5,43}, {7,39}, {4,42}, {5,25}, {9,41}, {2,39}, {7,32}, {1,31}, {9,14}, {1,22}, {6,12}, {6,30}, {2,57}, {6,18}, {9,50}, {7,50}, {8,17}, {2,16}, {8,36}, {6,33}, {7,26}, {6,24}, {8,11}, {9,56}, {4,48}, {8,53}, {5,49}, {8,35}, {5,14}, {9,20}, {4,55}, {1,28}, {4,13}, {3,11}, {7,14}, {4,54}, {4,43}, {3,29}, {3,10}, {1,43}, {1,52}, {6,15}, {4,36}, {6,51}, {5,31}, {6,27}, {1,49}, {5,44}, {3,23}, {8,23}, {1,25}, {1,46}, {6,54}, {1,37}, {3,16}, {4,37}, {6,42}, {3,53}, {6,36}, {2,21}, {6,45}, {2,22}, {1,16}, {9,17}, {8,24}, {4,49}, {2,40}, {5,26}, {8,18}, {4,18}, {9,38}, {4,25}, {4,12}, {5,13}, {3,28}, {7,27}, {7,45}, {3,41}, {6,39}, {7,33}, {3,47}, {5,19}, {1,34}, {5,37}, {9,23}, {7,21}, {8,29}, {6,57} }; // ETB57.14 // Bipartite(9,48) Valencies [16,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15776790092376440832 EdgesBipt[57][14]:={ {7,43}, {9,13}, {7,19}, {5,32}, {6,12}, {6,48}, {8,39}, {2,38}, {3,56}, {4,14}, {1,11}, {9,30}, {5,52}, {6,14}, {9,42}, {6,36}, {8,51}, {1,40}, {5,34}, {4,49}, {9,12}, {7,33}, {3,32}, {6,50}, {7,31}, {7,45}, {2,55}, {4,44}, {6,40}, {9,37}, {6,45}, {1,52}, {3,31}, {2,19}, {9,10}, {2,18}, {2,15}, {4,26}, {8,13}, {3,55}, {3,19}, {1,29}, {3,48}, {8,15}, {7,10}, {2,14}, {3,11}, {4,37}, {4,20}, {2,31}, {7,41}, {8,33}, {1,17}, {2,50}, {6,33}, {1,16}, {6,21}, {8,47}, {8,21}, {7,29}, {9,34}, {4,53}, {5,51}, {4,29}, {5,15}, {5,56}, {7,53}, {8,35}, {3,23}, {2,42}, {6,26}, {8,11}, {4,17}, {3,47}, {5,28}, {9,25}, {9,54}, {4,25}, {1,35}, {1,53}, {9,49}, {9,48}, {4,38}, {6,52}, {5,22}, {2,27}, {8,57}, {2,43}, {3,35}, {5,46}, {1,23}, {1,54}, {5,27}, {2,54}, {8,27}, {6,38}, {2,39}, {5,20}, {3,24}, {9,24}, {3,12}, {4,56}, {2,51}, {8,23}, {1,42}, {6,16}, {1,41}, {9,18}, {9,46}, {3,44}, {4,32}, {8,49}, {7,22}, {5,10}, {8,25}, {2,26}, {7,46}, {8,45}, {3,20}, {6,57}, {7,21}, {4,50}, {1,28}, {3,36}, {8,37}, {6,24}, {3,43}, {9,36}, {1,47}, {4,41}, {5,44}, {7,34}, {7,17}, {1,30}, {5,39}, {5,16}, {4,13}, {2,30}, {7,55}, {1,18}, {5,40}, {6,28}, {7,57}, {9,22} }; // ETB57.15 // Bipartite(19,38) Valencies [18,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 342 EdgesBipt[57][15]:={ {13,21}, {15,33}, {16,47}, {16,51}, {19,26}, {11,25}, {4,28}, {2,55}, {19,57}, {5,45}, {12,22}, {8,26}, {1,49}, {1,40}, {11,43}, {15,54}, {2,35}, {17,33}, {8,40}, {11,57}, {14,31}, {11,53}, {2,49}, {14,56}, {3,23}, {17,56}, {10,39}, {14,45}, {6,48}, {3,39}, {4,51}, {15,41}, {8,31}, {4,37}, {6,56}, {13,27}, {14,57}, {10,48}, {16,21}, {6,32}, {4,38}, {3,49}, {11,29}, {15,57}, {10,42}, {11,27}, {1,20}, {2,34}, {12,28}, {19,31}, {2,25}, {4,43}, {16,42}, {16,48}, {18,32}, {2,52}, {15,32}, {16,49}, {9,33}, {7,45}, {8,46}, {9,57}, {12,20}, {17,39}, {8,52}, {7,41}, {19,22}, {12,42}, {11,39}, {17,20}, {3,52}, {12,40}, {19,48}, {10,20}, {17,26}, {15,30}, {12,23}, {5,37}, {13,42}, {1,36}, {19,42}, {13,51}, {16,34}, {2,56}, {6,46}, {10,35}, {15,45}, {18,39}, {13,26}, {17,47}, {9,47}, {12,52}, {6,24}, {2,29}, {1,38}, {18,46}, {1,26}, {14,32}, {16,40}, {10,51}, {8,22}, {9,36}, {6,34}, {12,49}, {8,42}, {18,26}, {4,22}, {7,54}, {5,54}, {18,36}, {3,38}, {5,27}, {19,46}, {15,28}, {9,46}, {14,35}, {1,42}, {7,32}, {12,24}, {1,31}, {12,27}, {18,55}, {1,39}, {13,49}, {7,37}, {7,53}, {11,42}, {2,30}, {5,35}, {3,36}, {15,50}, {19,23}, {19,49}, {17,29}, {8,48}, {1,30}, {8,56}, {11,21}, {6,36}, {18,51}, {3,30}, {9,51}, {1,47}, {2,24}, {16,57}, {3,24}, {14,33}, {2,51}, {15,37}, {14,23}, {10,38}, {15,34}, {13,25}, {17,51}, {14,39}, {19,30}, {10,55}, {8,41}, {18,38}, {7,46}, {8,45}, {3,29}, {13,36}, {12,55}, {13,53}, {9,54}, {9,22}, {18,54}, {3,44}, {4,47}, {17,55}, {17,28}, {7,35}, {11,46}, {6,30}, {1,22}, {7,34}, {11,24}, {4,57}, {9,31}, {10,44}, {15,52}, {13,56}, {1,25}, {9,30}, {5,39}, {14,27}, {16,41}, {7,28}, {6,45}, {17,44}, {19,41}, {8,34}, {14,52}, {9,25}, {17,30}, {10,22}, {10,30}, {4,50}, {7,23}, {4,34}, {10,25}, {12,29}, {11,54}, {10,52}, {14,43}, {15,40}, {19,50}, {13,57}, {14,37}, {10,54}, {18,31}, {7,49}, {6,23}, {16,31}, {4,36}, {4,29}, {9,44}, {1,32}, {19,29}, {6,43}, {10,28}, {9,24}, {5,31}, {16,44}, {2,41}, {12,50}, {17,41}, {5,20}, {18,21}, {8,29}, {13,44}, {8,27}, {6,47}, {3,48}, {13,32}, {1,45}, {19,33}, {19,39}, {2,21}, {4,27}, {7,55}, {11,47}, {16,20}, {18,52}, {8,43}, {3,56}, {2,31}, {16,38}, {11,45}, {18,27}, {12,36}, {3,45}, {16,27}, {2,53}, {7,47}, {2,37}, {5,29}, {12,53}, {3,28}, {12,33}, {5,47}, {3,57}, {1,53}, {15,48}, {14,24}, {19,35}, {11,41}, {7,22}, {13,35}, {5,21}, {2,50}, {17,40}, {12,34}, {8,44}, {17,21}, {6,42}, {16,23}, {18,23}, {4,35}, {13,33}, {18,43}, {14,20}, {15,21}, {5,49}, {1,56}, {7,26}, {1,50}, {11,28}, {8,55}, {10,24}, {5,55}, {17,53}, {3,40}, {6,21}, {14,41}, {18,50}, {4,26}, {15,20}, {13,28}, {16,24}, {7,38}, {2,38}, {10,43}, {6,55}, {7,44}, {18,40}, {9,40}, {19,51}, {4,20}, {5,44}, {5,25}, {12,54}, {17,23}, {9,53}, {15,26}, {9,43}, {14,53}, {3,37}, {14,22}, {5,36}, {9,34}, {10,32}, {13,46}, {6,35}, {11,50}, {13,52}, {17,43}, {6,50}, {8,25}, {4,48}, {16,32}, {6,33}, {3,46}, {19,54}, {5,48}, {5,33}, {15,25}, {18,37}, {4,56}, {11,38}, {9,37} }; // ETB57.16 // Bipartite(19,38) Valencies [18,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 89653248 EdgesBipt[57][16]:={ {13,21}, {6,52}, {15,33}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {9,32}, {5,38}, {5,22}, {16,51}, {11,25}, {5,43}, {2,55}, {19,57}, {3,26}, {8,26}, {13,37}, {14,38}, {16,22}, {13,39}, {15,44}, {2,35}, {17,33}, {4,31}, {8,40}, {5,57}, {8,21}, {11,57}, {15,27}, {11,53}, {2,49}, {3,23}, {8,23}, {3,20}, {14,45}, {3,39}, {16,37}, {15,56}, {1,35}, {7,30}, {8,31}, {4,37}, {6,56}, {14,57}, {14,29}, {10,48}, {16,21}, {13,40}, {14,44}, {4,38}, {11,29}, {1,20}, {10,47}, {2,34}, {12,28}, {2,25}, {1,52}, {16,48}, {8,46}, {12,20}, {5,41}, {17,39}, {12,26}, {13,30}, {7,27}, {19,22}, {6,39}, {11,39}, {10,26}, {17,20}, {12,31}, {12,40}, {17,26}, {1,24}, {15,30}, {19,52}, {13,20}, {9,56}, {13,42}, {1,36}, {1,29}, {19,42}, {16,34}, {2,56}, {6,46}, {10,35}, {18,57}, {13,26}, {9,47}, {12,52}, {5,50}, {6,24}, {18,47}, {14,32}, {2,36}, {13,41}, {16,40}, {10,51}, {18,29}, {1,43}, {12,49}, {9,39}, {8,42}, {9,20}, {18,26}, {4,22}, {7,54}, {3,38}, {5,27}, {15,28}, {18,56}, {1,42}, {7,32}, {19,38}, {1,31}, {19,47}, {3,51}, {11,22}, {1,39}, {13,49}, {6,27}, {2,30}, {3,36}, {19,23}, {19,49}, {2,44}, {8,50}, {11,21}, {12,47}, {1,55}, {16,29}, {11,36}, {13,48}, {3,55}, {9,51}, {2,24}, {10,36}, {14,33}, {2,51}, {15,37}, {14,23}, {10,46}, {11,48}, {19,30}, {10,55}, {8,47}, {4,41}, {14,21}, {18,38}, {7,46}, {8,45}, {4,45}, {12,55}, {15,23}, {9,22}, {11,44}, {13,45}, {11,34}, {7,35}, {16,56}, {2,43}, {12,30}, {4,33}, {7,50}, {4,57}, {9,31}, {10,29}, {15,52}, {17,46}, {13,22}, {13,56}, {8,53}, {3,32}, {16,41}, {17,44}, {19,41}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {17,30}, {10,22}, {5,40}, {4,50}, {12,45}, {17,52}, {14,43}, {3,42}, {15,49}, {10,54}, {19,53}, {18,31}, {14,40}, {1,48}, {7,49}, {9,41}, {16,31}, {7,39}, {4,36}, {9,44}, {1,54}, {6,43}, {6,37}, {6,57}, {10,28}, {9,24}, {5,31}, {17,22}, {17,25}, {19,34}, {6,20}, {4,44}, {2,54}, {12,50}, {17,41}, {5,23}, {3,53}, {7,29}, {18,30}, {9,23}, {8,27}, {5,46}, {4,55}, {6,47}, {14,26}, {14,51}, {19,33}, {9,28}, {3,34}, {2,21}, {16,53}, {16,46}, {18,28}, {5,24}, {11,47}, {15,29}, {18,24}, {3,56}, {1,33}, {12,36}, {3,45}, {16,27}, {2,53}, {2,37}, {16,50}, {10,41}, {4,25}, {7,31}, {12,33}, {12,39}, {3,57}, {6,54}, {17,34}, {15,55}, {18,49}, {7,51}, {15,47}, {1,53}, {15,48}, {14,24}, {19,35}, {11,41}, {7,25}, {9,50}, {1,34}, {15,42}, {13,35}, {5,21}, {17,24}, {8,44}, {6,28}, {4,35}, {19,32}, {18,43}, {18,53}, {14,25}, {5,49}, {13,54}, {1,50}, {11,28}, {1,23}, {10,24}, {14,42}, {5,55}, {11,20}, {10,27}, {16,33}, {17,53}, {13,23}, {10,45}, {8,35}, {17,27}, {2,40}, {8,54}, {6,21}, {17,45}, {18,50}, {4,26}, {16,52}, {3,27}, {7,20}, {7,38}, {5,42}, {12,32}, {15,36}, {10,43}, {7,44}, {8,28}, {11,55}, {19,51}, {4,52}, {9,43}, {3,37}, {9,42}, {5,36}, {10,32}, {6,35}, {17,43}, {14,48}, {8,25}, {16,32}, {7,57}, {2,32}, {12,21}, {6,33}, {18,34}, {12,51}, {17,49}, {18,48}, {3,46}, {19,54}, {15,25}, {18,37}, {4,56}, {4,54}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB57.17 // Bipartite(27,30) Valencies [20,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13700280141550384894709858304000000000 EdgesBipt[57][17]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {16,28}, {20,33}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {20,50}, {3,49}, {5,32}, {22,49}, {14,47}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {6,48}, {3,55}, {22,56}, {15,54}, {2,39}, {7,28}, {7,53}, {1,32}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {18,49}, {23,56}, {9,49}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {2,30}, {5,56}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {20,42}, {2,38}, {23,53}, {23,45}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {19,38}, {18,28}, {8,44}, {25,49}, {4,34}, {13,29}, {22,28}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {21,46}, {17,45}, {14,33}, {24,36}, {11,35}, {25,28}, {8,38}, {22,29}, {11,29}, {1,53}, {26,57}, {5,47}, {17,42}, {21,57}, {11,47}, {12,48}, {20,57}, {11,36}, {1,55}, {19,40}, {24,48}, {15,51}, {5,53}, {13,53}, {18,54}, {25,56}, {25,41}, {17,51}, {6,31}, {1,31}, {2,41}, {11,48}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {4,41}, {8,39}, {22,32}, {20,54}, {7,34}, {9,55}, {15,43}, {2,36}, {11,44}, {26,44}, {20,32}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {18,55}, {24,30}, {15,34}, {8,35}, {11,38}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {21,55}, {6,57}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {22,41}, {11,56}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {21,37}, {25,38}, {27,51}, {1,29}, {15,55}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {15,57}, {9,28}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {8,56}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {27,33}, {3,43}, {18,48}, {3,36}, {14,36}, {9,54}, {11,50}, {6,43}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {23,32}, {26,35}, {9,39}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,42}, {13,35}, {16,37}, {13,32}, {27,45}, {17,36}, {26,39}, {3,28}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {25,52}, {16,46}, {27,48}, {15,30}, {24,34}, {27,54}, {4,40}, {23,38}, {12,54}, {6,45}, {18,43}, {7,40}, {10,37}, {22,52}, {2,42}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {7,35}, {23,48}, {21,43}, {20,38}, {14,41}, {4,29}, {24,57}, {27,40}, {1,43}, {15,46}, {1,52}, {4,49}, {5,48}, {26,48}, {9,40}, {7,46}, {8,45}, {19,28}, {11,57}, {11,33}, {1,34}, {22,40}, {4,47}, {13,37}, {24,37}, {24,31}, {5,30}, {10,53}, {6,46}, {21,54}, {12,57}, {23,44}, {19,43}, {9,30}, {3,46}, {16,31}, {24,42}, {27,34}, {18,30}, {1,40}, {19,56}, {8,29}, {23,41}, {8,51}, {25,40}, {9,34}, {14,57}, {16,41}, {13,28}, {16,52}, {17,44}, {3,57}, {2,33}, {17,35}, {15,31}, {10,35}, {18,36}, {6,55}, {27,46}, {4,32}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {13,44}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {13,31}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {24,28}, {3,52}, {20,51}, {2,53}, {19,50}, {13,55}, {18,46}, {23,51}, {24,46}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {12,51}, {7,44}, {25,34}, {4,31}, {11,54}, {15,39}, {19,47}, {23,57}, {13,34}, {14,56}, {22,50}, {26,38}, {27,52}, {15,49}, {1,38}, {25,43}, {7,41}, {2,29}, {20,30}, {14,44}, {25,50}, {18,40}, {17,57}, {26,30}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {23,35}, {12,34}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {21,52}, {2,48}, {10,56}, {9,51}, {10,44}, {27,37}, {12,30}, {2,32}, {6,33}, {22,34}, {27,30}, {15,52}, {16,50}, {9,36}, {26,56}, {10,40}, {27,49}, {12,40}, {20,41}, {14,38}, {18,57}, {27,39}, {6,30}, {20,56}, {25,35}, {13,56}, {19,46}, {8,48}, {9,57}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {16,53}, {27,28}, {25,44}, {24,40}, {26,42}, {23,30}, {22,31}, {20,47}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {23,42}, {2,54}, {21,49}, {3,40}, {27,43}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {25,55}, {27,42}, {12,31}, {16,47}, {20,36}, {20,45}, {26,45}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {25,37}, {12,55}, {8,53}, {10,49}, {12,46}, {5,54} }; // ETB57.18 // Bipartite(27,30) Valencies [20,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2166612408926208000000 EdgesBipt[57][18]:={ {26,53}, {7,49}, {15,28}, {26,54}, {13,40}, {6,36}, {24,33}, {14,48}, {4,46}, {3,29}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {22,53}, {26,33}, {20,50}, {8,28}, {7,57}, {14,49}, {5,32}, {22,49}, {14,47}, {22,55}, {17,54}, {2,57}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {15,54}, {2,39}, {18,38}, {1,32}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {23,29}, {23,56}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {5,56}, {1,41}, {23,50}, {23,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {2,52}, {23,53}, {4,52}, {19,49}, {6,34}, {1,49}, {11,39}, {24,39}, {7,54}, {16,33}, {19,38}, {25,49}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {26,47}, {15,45}, {25,32}, {9,41}, {21,46}, {17,45}, {24,36}, {3,32}, {11,31}, {11,37}, {18,29}, {25,51}, {22,29}, {8,52}, {1,53}, {26,57}, {5,47}, {5,55}, {16,51}, {17,42}, {21,57}, {23,49}, {20,28}, {18,50}, {12,35}, {20,57}, {1,55}, {19,40}, {24,48}, {15,51}, {5,53}, {13,53}, {27,32}, {18,54}, {25,56}, {17,51}, {2,37}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {1,31}, {5,50}, {21,44}, {20,44}, {27,57}, {8,57}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {15,43}, {27,56}, {12,38}, {11,44}, {18,35}, {20,32}, {3,51}, {18,42}, {16,42}, {12,44}, {15,34}, {24,30}, {16,30}, {8,35}, {11,38}, {6,40}, {1,50}, {20,39}, {27,41}, {6,57}, {12,56}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {19,31}, {22,41}, {11,56}, {2,28}, {20,43}, {5,36}, {12,39}, {24,54}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {25,38}, {27,51}, {1,29}, {2,34}, {15,55}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {10,43}, {5,29}, {27,36}, {15,57}, {20,49}, {20,52}, {2,56}, {20,40}, {21,51}, {21,40}, {16,55}, {25,33}, {8,30}, {14,32}, {27,38}, {17,53}, {26,52}, {24,49}, {19,44}, {22,46}, {24,55}, {8,34}, {9,29}, {12,50}, {15,40}, {21,34}, {2,55}, {1,44}, {10,31}, {11,49}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {27,33}, {18,48}, {16,48}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {21,56}, {2,51}, {6,37}, {12,28}, {1,35}, {17,28}, {23,32}, {26,35}, {7,36}, {9,39}, {10,46}, {14,37}, {7,43}, {20,31}, {8,33}, {11,45}, {10,28}, {9,44}, {9,42}, {21,50}, {13,35}, {16,37}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {3,28}, {9,35}, {12,45}, {15,36}, {8,41}, {15,42}, {13,46}, {2,40}, {11,51}, {27,48}, {15,30}, {24,34}, {27,54}, {4,40}, {23,38}, {16,36}, {6,45}, {10,37}, {25,36}, {22,52}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {4,42}, {27,47}, {23,48}, {3,53}, {20,38}, {14,41}, {4,29}, {24,57}, {26,34}, {1,43}, {15,46}, {1,52}, {13,36}, {3,35}, {4,49}, {5,48}, {26,48}, {25,30}, {14,31}, {8,45}, {19,28}, {20,37}, {11,57}, {11,33}, {1,34}, {22,40}, {4,47}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {12,57}, {19,43}, {23,44}, {9,30}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {26,40}, {18,30}, {1,40}, {19,56}, {8,29}, {23,41}, {8,51}, {13,28}, {3,57}, {2,33}, {17,35}, {15,31}, {10,35}, {9,47}, {18,36}, {6,55}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {19,55}, {26,41}, {1,47}, {6,51}, {9,33}, {8,42}, {14,30}, {7,38}, {4,54}, {13,31}, {12,53}, {5,31}, {10,38}, {18,33}, {21,33}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {25,39}, {24,28}, {7,48}, {5,49}, {11,28}, {11,43}, {3,52}, {20,51}, {19,50}, {17,34}, {13,55}, {24,46}, {18,56}, {16,56}, {17,39}, {6,42}, {7,32}, {26,36}, {22,54}, {12,51}, {20,34}, {7,44}, {27,44}, {17,52}, {11,46}, {9,56}, {4,31}, {3,41}, {15,39}, {19,47}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {3,44}, {14,44}, {25,50}, {25,54}, {17,57}, {26,30}, {13,30}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {12,34}, {11,55}, {23,35}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {21,52}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {25,57}, {2,32}, {6,33}, {14,55}, {22,34}, {27,30}, {15,52}, {16,50}, {9,36}, {10,40}, {18,47}, {21,41}, {12,40}, {17,40}, {7,45}, {8,46}, {14,38}, {18,57}, {27,39}, {6,30}, {20,56}, {19,46}, {8,48}, {11,40}, {13,42}, {9,57}, {25,31}, {5,44}, {5,35}, {3,45}, {4,43}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {22,31}, {16,45}, {22,35}, {7,50}, {26,29}, {19,34}, {13,47}, {23,37}, {23,42}, {3,40}, {20,46}, {22,42}, {13,49}, {26,51}, {21,39}, {3,33}, {27,35}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {17,30}, {25,55}, {27,42}, {7,33}, {20,45}, {27,29}, {26,45}, {4,37}, {12,29}, {4,35}, {10,47}, {17,33}, {10,32}, {17,47}, {21,38}, {25,37}, {8,53}, {10,49}, {12,46}, {4,36}, {5,54}, {2,31} }; // ETB57.19 // Bipartite(24,33) Valencies [22,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 25013817377782664327652704256000000000 EdgesBipt[57][19]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {20,26}, {16,28}, {20,33}, {4,26}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {3,49}, {5,32}, {22,49}, {14,47}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {6,48}, {3,55}, {12,25}, {22,56}, {15,54}, {2,39}, {7,28}, {7,53}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {22,25}, {2,30}, {5,56}, {3,25}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {20,42}, {2,38}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {21,46}, {17,45}, {14,33}, {24,36}, {11,35}, {3,27}, {8,38}, {22,29}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {21,57}, {10,25}, {12,48}, {20,57}, {11,36}, {1,55}, {19,40}, {24,48}, {16,26}, {15,51}, {5,53}, {13,53}, {18,54}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {11,48}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {4,41}, {8,39}, {22,32}, {20,54}, {7,34}, {9,55}, {15,43}, {18,27}, {2,36}, {11,44}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {24,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {6,57}, {21,55}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {22,41}, {11,56}, {22,26}, {9,25}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {21,37}, {1,29}, {15,55}, {15,27}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {21,25}, {5,29}, {15,57}, {9,28}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {8,56}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {3,36}, {14,36}, {24,25}, {9,54}, {11,50}, {6,43}, {23,26}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {23,32}, {9,39}, {13,26}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,42}, {13,35}, {16,37}, {13,32}, {17,36}, {3,28}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {21,27}, {10,37}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {7,35}, {21,43}, {23,48}, {20,38}, {14,41}, {4,29}, {24,57}, {1,43}, {15,46}, {1,52}, {4,49}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {12,57}, {21,54}, {19,43}, {23,44}, {9,30}, {3,46}, {16,31}, {24,42}, {18,30}, {1,40}, {10,26}, {19,56}, {8,29}, {23,41}, {8,51}, {9,34}, {14,57}, {15,25}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {18,36}, {6,55}, {4,32}, {2,27}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {13,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {24,28}, {6,25}, {3,52}, {20,51}, {2,53}, {19,50}, {13,55}, {18,46}, {23,51}, {24,46}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {4,31}, {11,54}, {15,39}, {19,47}, {23,57}, {13,34}, {14,56}, {22,50}, {15,49}, {1,38}, {7,41}, {2,29}, {20,30}, {14,44}, {18,40}, {17,57}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {12,34}, {23,35}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {21,52}, {2,48}, {10,56}, {9,51}, {10,44}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {20,41}, {14,38}, {18,57}, {6,30}, {20,56}, {13,56}, {17,27}, {19,46}, {8,48}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {16,53}, {24,40}, {23,30}, {20,47}, {22,31}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {23,42}, {2,54}, {21,49}, {3,40}, {23,27}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {17,30}, {12,31}, {16,47}, {20,36}, {20,45}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {12,55}, {8,53}, {10,49}, {12,46}, {5,54} }; // ETB57.20 // Bipartite(21,36) Valencies [24,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 84421633650016492105827876864000000000 EdgesBipt[57][20]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {20,26}, {16,28}, {20,33}, {4,26}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {3,49}, {5,32}, {14,47}, {12,42}, {17,54}, {2,57}, {18,51}, {6,48}, {3,55}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {2,30}, {5,56}, {3,25}, {1,41}, {3,54}, {14,54}, {10,55}, {20,42}, {2,38}, {8,24}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {21,46}, {17,45}, {14,33}, {11,35}, {3,27}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {21,57}, {10,25}, {12,48}, {20,57}, {11,36}, {1,55}, {19,40}, {16,26}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {11,48}, {17,32}, {5,50}, {16,23}, {21,30}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {9,22}, {4,41}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {11,44}, {15,24}, {10,23}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {7,23}, {5,33}, {1,22}, {6,57}, {21,55}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {14,23}, {11,56}, {9,25}, {4,44}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {21,37}, {1,29}, {15,55}, {21,22}, {15,27}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {8,56}, {13,23}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {3,36}, {20,23}, {14,36}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,42}, {13,35}, {16,37}, {13,32}, {17,36}, {17,23}, {3,28}, {12,24}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {4,40}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {21,27}, {10,37}, {2,42}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {21,43}, {20,38}, {14,41}, {4,29}, {1,43}, {15,46}, {1,52}, {16,22}, {4,49}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {15,22}, {12,57}, {21,54}, {19,43}, {9,30}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {10,26}, {1,23}, {19,56}, {8,29}, {7,22}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {18,36}, {14,24}, {3,24}, {6,55}, {4,32}, {2,27}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {14,30}, {17,24}, {7,52}, {13,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {6,25}, {3,52}, {2,53}, {20,51}, {19,50}, {13,55}, {18,46}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {4,31}, {11,54}, {15,39}, {19,47}, {13,34}, {14,56}, {20,24}, {18,24}, {21,24}, {15,49}, {1,38}, {7,41}, {8,23}, {20,30}, {2,29}, {14,44}, {18,40}, {17,57}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {12,34}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {21,52}, {2,48}, {2,23}, {10,56}, {9,51}, {10,44}, {12,30}, {6,33}, {2,32}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {20,41}, {14,38}, {18,57}, {6,30}, {20,56}, {13,56}, {17,27}, {19,46}, {8,48}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {16,53}, {20,47}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {2,54}, {21,49}, {3,40}, {12,36}, {13,49}, {21,39}, {3,33}, {19,25}, {21,28}, {16,38}, {5,57}, {16,49}, {4,53}, {12,37}, {17,30}, {5,24}, {12,31}, {16,47}, {20,36}, {20,45}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {12,55}, {8,53}, {10,49}, {12,46}, {5,54} }; // ETB57.21 // Bipartite(18,39) Valencies [26,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 540741484341359280339661357056000000000 EdgesBipt[57][21]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {3,49}, {5,32}, {14,47}, {12,42}, {17,54}, {2,57}, {18,51}, {6,48}, {3,55}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {2,30}, {5,56}, {3,25}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {12,22}, {17,45}, {14,33}, {11,35}, {3,27}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {10,25}, {12,48}, {11,36}, {11,21}, {1,55}, {16,26}, {3,22}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {16,20}, {18,54}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {11,48}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {11,44}, {15,24}, {10,23}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {1,22}, {6,57}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {16,34}, {8,21}, {14,23}, {18,21}, {11,56}, {9,25}, {4,44}, {5,36}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {1,29}, {15,55}, {10,19}, {12,19}, {15,27}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {15,57}, {9,28}, {2,56}, {16,35}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {12,21}, {10,20}, {17,26}, {11,41}, {9,52}, {13,19}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {8,56}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {14,36}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {17,36}, {17,23}, {3,28}, {12,24}, {18,19}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {10,37}, {2,42}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {14,41}, {4,29}, {1,43}, {15,46}, {1,52}, {16,22}, {4,49}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {14,20}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {15,22}, {12,57}, {9,30}, {3,46}, {16,31}, {18,30}, {4,22}, {1,40}, {10,26}, {17,20}, {1,23}, {8,29}, {7,22}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {18,36}, {14,24}, {3,24}, {6,55}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {13,20}, {9,48}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {17,24}, {7,52}, {13,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {6,25}, {3,52}, {2,53}, {13,55}, {18,46}, {16,56}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {4,31}, {11,54}, {15,39}, {13,34}, {14,56}, {18,24}, {15,49}, {1,38}, {7,41}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {18,40}, {17,57}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {3,39}, {10,41}, {7,56}, {12,34}, {4,20}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {2,48}, {2,23}, {15,21}, {10,56}, {9,51}, {10,44}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {14,38}, {18,57}, {6,30}, {13,56}, {17,27}, {8,48}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {16,53}, {7,50}, {12,43}, {5,39}, {6,21}, {13,47}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {3,33}, {17,21}, {16,38}, {5,57}, {16,49}, {4,53}, {12,37}, {17,30}, {5,24}, {12,31}, {16,47}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,47}, {8,50}, {4,19}, {12,55}, {8,53}, {10,49}, {12,46}, {5,54} }; // ETB57.22 // Bipartite(15,42) Valencies [28,10] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2520 EdgesBipt[57][22]:={ {13,21}, {7,48}, {6,38}, {11,40}, {15,38}, {11,49}, {14,36}, {9,32}, {5,38}, {5,22}, {10,18}, {9,17}, {5,56}, {11,25}, {5,45}, {3,26}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {13,39}, {11,43}, {2,35}, {4,31}, {8,40}, {3,35}, {8,21}, {15,27}, {1,19}, {2,49}, {11,53}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {14,45}, {6,48}, {3,39}, {15,56}, {5,32}, {4,51}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {6,56}, {13,43}, {14,57}, {14,29}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {11,35}, {10,56}, {15,57}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {12,28}, {2,25}, {4,43}, {1,52}, {2,52}, {15,32}, {4,30}, {8,30}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {8,37}, {9,57}, {12,20}, {5,41}, {8,52}, {7,41}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {10,20}, {1,24}, {13,24}, {13,47}, {2,48}, {15,30}, {5,37}, {13,20}, {13,55}, {13,42}, {9,35}, {1,36}, {15,19}, {12,37}, {13,51}, {2,56}, {6,46}, {10,35}, {15,45}, {6,44}, {11,18}, {9,47}, {4,49}, {5,50}, {6,24}, {2,29}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {8,49}, {8,22}, {6,34}, {1,43}, {11,51}, {12,49}, {8,42}, {9,20}, {4,22}, {7,54}, {8,19}, {1,18}, {5,27}, {3,43}, {6,17}, {5,28}, {14,46}, {2,39}, {4,18}, {3,47}, {14,35}, {12,24}, {3,31}, {12,27}, {3,51}, {7,37}, {6,27}, {7,53}, {5,53}, {11,42}, {5,35}, {14,34}, {3,36}, {4,21}, {8,48}, {14,54}, {7,19}, {4,32}, {2,44}, {1,30}, {8,56}, {11,21}, {12,56}, {6,36}, {8,17}, {10,16}, {3,30}, {9,51}, {3,16}, {10,57}, {2,24}, {11,23}, {14,33}, {2,51}, {10,38}, {14,23}, {10,46}, {15,34}, {11,33}, {9,55}, {13,25}, {14,39}, {11,48}, {10,55}, {8,24}, {8,41}, {9,38}, {3,29}, {13,36}, {1,41}, {4,45}, {12,55}, {1,51}, {9,54}, {10,19}, {9,22}, {9,19}, {13,45}, {11,34}, {11,46}, {2,43}, {5,52}, {7,50}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {15,52}, {15,53}, {13,56}, {13,50}, {6,19}, {4,17}, {9,16}, {13,31}, {5,39}, {8,53}, {3,32}, {14,27}, {7,28}, {2,16}, {13,29}, {14,52}, {9,25}, {10,22}, {10,30}, {4,50}, {7,23}, {12,45}, {4,34}, {10,25}, {12,29}, {1,57}, {6,31}, {15,24}, {9,52}, {11,54}, {1,16}, {14,43}, {15,40}, {3,22}, {14,37}, {1,44}, {15,49}, {10,54}, {14,40}, {6,23}, {15,17}, {7,39}, {4,36}, {9,44}, {7,52}, {6,43}, {6,57}, {10,28}, {9,24}, {2,19}, {4,44}, {2,54}, {7,40}, {2,41}, {12,50}, {5,20}, {3,53}, {2,26}, {10,40}, {14,55}, {9,21}, {7,29}, {2,28}, {8,29}, {9,23}, {14,16}, {8,36}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {13,32}, {1,45}, {10,50}, {3,50}, {11,30}, {9,28}, {2,21}, {4,27}, {7,55}, {2,22}, {11,47}, {15,29}, {4,46}, {3,56}, {1,33}, {12,36}, {12,44}, {7,47}, {4,42}, {12,53}, {10,41}, {4,25}, {12,33}, {5,47}, {2,57}, {3,57}, {6,54}, {15,55}, {7,51}, {14,49}, {15,47}, {11,31}, {1,53}, {15,48}, {14,24}, {13,34}, {11,41}, {9,50}, {7,22}, {6,26}, {1,34}, {15,42}, {14,18}, {5,21}, {7,42}, {6,41}, {8,44}, {6,42}, {13,33}, {15,51}, {14,20}, {14,25}, {5,49}, {1,56}, {13,54}, {7,26}, {1,50}, {7,18}, {11,37}, {2,47}, {11,28}, {5,18}, {1,23}, {8,55}, {5,55}, {11,20}, {10,27}, {5,17}, {8,35}, {10,45}, {13,23}, {6,21}, {15,22}, {14,41}, {4,26}, {12,57}, {15,20}, {1,28}, {13,28}, {3,27}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {15,31}, {6,55}, {6,53}, {7,44}, {8,28}, {9,40}, {5,44}, {5,25}, {12,54}, {10,23}, {9,53}, {1,46}, {4,19}, {8,39}, {3,37}, {14,17}, {9,34}, {13,46}, {15,43}, {4,39}, {7,36}, {12,35}, {6,35}, {13,52}, {6,50}, {14,48}, {8,25}, {2,42}, {4,48}, {7,57}, {2,32}, {6,33}, {12,51}, {11,26}, {9,48}, {5,33}, {15,25}, {5,30}, {4,54}, {11,38}, {9,37} }; // ETB57.23 // Bipartite(15,42) Valencies [28,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6869419597373564190981623906304000000000 EdgesBipt[57][23]:={ {6,52}, {15,33}, {10,37}, {8,57}, {14,36}, {6,25}, {5,38}, {5,56}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {14,50}, {15,54}, {2,35}, {4,31}, {5,57}, {8,21}, {3,19}, {11,57}, {15,27}, {1,19}, {11,53}, {14,56}, {8,23}, {12,16}, {2,18}, {3,21}, {14,45}, {6,48}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {14,57}, {14,29}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {11,29}, {11,35}, {10,56}, {15,57}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {9,57}, {5,41}, {7,41}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {12,40}, {10,20}, {13,47}, {2,48}, {15,30}, {13,20}, {13,55}, {6,18}, {1,29}, {15,19}, {12,37}, {2,56}, {6,46}, {7,56}, {10,35}, {15,45}, {4,23}, {11,18}, {8,38}, {13,26}, {5,50}, {4,49}, {12,52}, {6,24}, {2,29}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {3,43}, {15,28}, {2,39}, {9,46}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {7,37}, {13,49}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {13,17}, {14,54}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {11,21}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {11,36}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {2,51}, {15,37}, {10,38}, {14,23}, {6,16}, {10,46}, {15,34}, {11,33}, {9,55}, {13,25}, {14,39}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {8,41}, {14,21}, {7,46}, {8,45}, {1,41}, {2,23}, {12,55}, {13,53}, {9,54}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {10,44}, {10,29}, {15,52}, {13,22}, {13,56}, {1,25}, {13,50}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, {8,53}, {14,27}, {7,28}, {6,45}, {12,18}, {13,29}, {9,25}, {15,46}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {15,24}, {9,52}, {11,54}, {12,25}, {1,16}, {3,42}, {10,52}, {15,40}, {3,22}, {1,44}, {13,38}, {15,49}, {7,49}, {15,39}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {6,57}, {10,28}, {9,24}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {11,56}, {14,47}, {8,29}, {8,36}, {13,44}, {8,27}, {2,45}, {4,55}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {14,51}, {11,30}, {9,28}, {3,34}, {2,21}, {7,55}, {5,24}, {11,47}, {4,46}, {11,45}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {10,41}, {4,25}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {2,57}, {3,57}, {6,54}, {15,55}, {1,53}, {15,48}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {15,42}, {13,35}, {14,18}, {5,21}, {2,50}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {15,51}, {14,20}, {15,21}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {14,42}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {8,54}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {12,57}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {15,36}, {10,43}, {15,31}, {6,55}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {12,54}, {10,23}, {4,52}, {9,43}, {14,53}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {11,50}, {12,19}, {13,52}, {14,48}, {1,37}, {2,42}, {2,32}, {6,33}, {12,21}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {15,25}, {4,56}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB57.24 // Bipartite(15,42) Valencies [28,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11800915893414789120000000 EdgesBipt[57][24]:={ {15,33}, {7,48}, {6,38}, {10,37}, {15,38}, {9,32}, {6,25}, {5,38}, {5,22}, {10,18}, {5,56}, {4,28}, {2,55}, {3,26}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {15,44}, {14,50}, {15,54}, {2,35}, {8,40}, {3,35}, {10,33}, {3,19}, {11,57}, {14,31}, {15,27}, {1,19}, {2,49}, {11,53}, {14,56}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {1,21}, {14,45}, {6,48}, {15,56}, {5,32}, {4,51}, {7,30}, {8,31}, {4,40}, {2,46}, {6,56}, {13,43}, {14,57}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {6,32}, {3,49}, {11,29}, {11,35}, {15,57}, {11,17}, {10,42}, {11,27}, {3,18}, {10,47}, {8,16}, {10,17}, {2,34}, {12,28}, {2,25}, {4,24}, {1,52}, {2,52}, {15,32}, {4,30}, {9,33}, {12,46}, {4,16}, {8,46}, {8,37}, {9,57}, {12,20}, {5,41}, {8,52}, {7,41}, {12,38}, {12,26}, {13,30}, {6,39}, {11,39}, {6,49}, {2,17}, {12,40}, {1,24}, {13,24}, {15,30}, {12,23}, {13,20}, {13,55}, {9,56}, {13,42}, {1,36}, {6,18}, {10,35}, {15,45}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {5,50}, {12,52}, {6,24}, {2,29}, {13,16}, {5,34}, {13,19}, {14,32}, {3,17}, {8,49}, {10,51}, {8,22}, {1,43}, {9,39}, {11,51}, {9,20}, {4,22}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {3,43}, {15,28}, {5,28}, {2,39}, {9,46}, {4,18}, {3,47}, {14,35}, {1,42}, {1,31}, {3,31}, {12,27}, {1,39}, {7,37}, {13,49}, {6,27}, {7,53}, {5,53}, {11,42}, {5,35}, {3,36}, {15,50}, {4,21}, {7,19}, {1,30}, {8,56}, {13,18}, {8,50}, {11,21}, {12,47}, {12,56}, {6,36}, {8,17}, {1,55}, {4,53}, {11,36}, {3,30}, {3,55}, {13,48}, {9,51}, {10,57}, {11,23}, {3,24}, {10,36}, {14,33}, {2,51}, {14,23}, {15,34}, {11,33}, {9,55}, {13,25}, {14,39}, {11,48}, {10,55}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {14,21}, {7,46}, {3,29}, {12,17}, {13,36}, {2,23}, {4,45}, {1,51}, {10,19}, {9,22}, {12,41}, {9,19}, {4,47}, {3,44}, {11,44}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {4,33}, {1,22}, {7,34}, {11,24}, {10,31}, {9,31}, {4,57}, {10,29}, {15,52}, {13,22}, {13,56}, {1,25}, {13,50}, {6,19}, {4,17}, {9,16}, {13,31}, {8,53}, {3,32}, {14,27}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {15,46}, {10,30}, {5,40}, {7,23}, {12,45}, {4,34}, {10,25}, {12,29}, {1,57}, {6,31}, {11,32}, {15,24}, {9,52}, {11,54}, {1,16}, {3,42}, {14,43}, {15,40}, {14,37}, {13,38}, {10,54}, {7,49}, {1,48}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {6,57}, {2,19}, {6,20}, {7,40}, {2,41}, {12,50}, {5,23}, {5,20}, {3,53}, {14,55}, {10,21}, {9,21}, {7,29}, {11,56}, {14,47}, {2,28}, {8,29}, {13,44}, {2,45}, {5,46}, {3,48}, {13,32}, {14,26}, {1,45}, {14,51}, {3,50}, {11,30}, {9,28}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {3,56}, {2,31}, {14,19}, {11,45}, {1,33}, {3,54}, {2,53}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {12,53}, {10,41}, {7,31}, {12,33}, {5,47}, {12,39}, {2,57}, {6,54}, {14,49}, {15,48}, {13,34}, {11,41}, {7,25}, {9,50}, {7,22}, {6,26}, {1,34}, {15,42}, {7,42}, {10,53}, {12,34}, {8,44}, {6,42}, {4,35}, {15,51}, {14,20}, {14,25}, {15,21}, {13,54}, {7,18}, {2,47}, {7,16}, {5,16}, {5,18}, {8,55}, {10,24}, {11,20}, {10,27}, {15,18}, {5,17}, {15,16}, {7,17}, {10,45}, {8,35}, {2,40}, {6,21}, {15,22}, {9,45}, {14,41}, {12,57}, {15,20}, {1,28}, {13,28}, {9,27}, {5,42}, {12,32}, {15,36}, {10,43}, {6,55}, {8,28}, {9,49}, {7,43}, {9,40}, {8,20}, {1,27}, {5,44}, {10,23}, {4,52}, {15,26}, {9,43}, {14,53}, {1,46}, {3,37}, {14,17}, {5,36}, {9,34}, {13,46}, {4,39}, {7,36}, {12,35}, {11,50}, {13,52}, {6,50}, {1,37}, {8,25}, {4,48}, {6,33}, {12,21}, {12,51}, {11,26}, {5,48}, {5,30}, {4,54}, {10,49}, {11,38}, {9,37} }; // ETB57.25 // Bipartite(28,29) Valencies [29,28] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2695750177722064458800354282783759370729201598464000000000000 EdgesBipt[57][25]:={ {15,47}, {8,40}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {16,29}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {20,47}, {15,49}, {28,43}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {3,38}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {18,44}, {28,46}, {5,47}, {16,54}, {11,32}, {22,43}, {26,48}, {28,37}, {15,55}, {24,41}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {28,29}, {11,31}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {26,53}, {10,40}, {23,48}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {7,38}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {28,42}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {8,29}, {9,54}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {13,29}, {9,48}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {28,34}, {25,38}, {23,56}, {20,37}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {11,37}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {28,35}, {8,42}, {6,57}, {10,46}, {28,50}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {28,41}, {23,32}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {12,32}, {22,44}, {28,45}, {14,44}, {25,51}, {20,54}, {7,49}, {1,56}, {11,36}, {6,52}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {28,40}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {28,44}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {11,39}, {4,53}, {7,30}, {26,31}, {24,56}, {10,51}, {17,50}, {13,56}, {24,43}, {3,47}, {22,41}, {7,35}, {17,49}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {19,34}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {27,29}, {23,47}, {23,44}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {3,29}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {20,44}, {19,36}, {18,33}, {28,55}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {27,36}, {19,52}, {6,43}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {26,57}, {12,29}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB57.26 // Bipartite(12,45) Valencies [30,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[57][26]:={ {6,52}, {11,40}, {10,37}, {8,57}, {11,49}, {9,32}, {6,25}, {5,22}, {10,18}, {5,56}, {4,28}, {11,25}, {5,43}, {8,51}, {5,45}, {3,26}, {12,22}, {8,26}, {2,35}, {4,31}, {5,57}, {3,35}, {11,57}, {5,15}, {1,19}, {11,53}, {8,23}, {12,16}, {10,39}, {3,20}, {1,21}, {3,39}, {1,35}, {11,14}, {7,30}, {8,31}, {4,40}, {6,56}, {6,14}, {10,48}, {2,33}, {4,38}, {11,35}, {10,42}, {11,17}, {11,27}, {1,20}, {9,18}, {2,25}, {12,48}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {8,37}, {12,20}, {7,41}, {12,38}, {1,13}, {7,27}, {12,42}, {6,39}, {6,49}, {10,26}, {7,33}, {10,20}, {1,24}, {2,48}, {12,23}, {12,13}, {9,56}, {9,35}, {6,18}, {1,29}, {12,37}, {2,56}, {6,46}, {10,35}, {11,18}, {8,38}, {9,47}, {4,49}, {5,50}, {12,52}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {2,36}, {10,51}, {7,15}, {9,36}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {9,20}, {5,54}, {6,51}, {8,19}, {1,18}, {5,27}, {3,43}, {6,17}, {5,28}, {8,18}, {9,46}, {4,18}, {3,47}, {1,42}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {7,53}, {5,53}, {2,30}, {3,36}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {12,15}, {8,15}, {12,47}, {12,56}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {3,30}, {9,51}, {3,16}, {1,47}, {11,23}, {3,24}, {10,36}, {11,16}, {10,38}, {6,16}, {11,33}, {9,55}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {5,14}, {7,46}, {11,52}, {12,17}, {1,41}, {2,23}, {4,45}, {12,55}, {9,54}, {10,19}, {12,41}, {9,19}, {4,47}, {3,44}, {11,44}, {11,34}, {11,46}, {2,27}, {12,30}, {6,30}, {7,50}, {4,33}, {11,24}, {5,19}, {6,13}, {1,25}, {2,20}, {9,16}, {4,17}, {8,53}, {3,32}, {6,45}, {8,34}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {12,29}, {1,57}, {6,31}, {11,32}, {9,52}, {1,16}, {3,42}, {10,52}, {3,22}, {4,14}, {10,54}, {4,15}, {7,49}, {9,41}, {6,23}, {7,39}, {3,41}, {4,29}, {1,32}, {1,54}, {7,52}, {6,43}, {8,32}, {7,24}, {6,57}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {10,21}, {9,21}, {7,29}, {11,56}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {2,45}, {6,47}, {3,48}, {10,50}, {10,15}, {3,50}, {11,30}, {3,34}, {2,21}, {4,27}, {7,55}, {2,22}, {4,46}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {12,44}, {2,37}, {5,29}, {10,41}, {3,28}, {7,31}, {11,19}, {8,33}, {5,47}, {2,57}, {3,57}, {8,14}, {3,15}, {5,51}, {7,25}, {7,22}, {1,34}, {5,21}, {7,42}, {9,15}, {10,53}, {12,34}, {8,44}, {6,28}, {5,49}, {1,56}, {7,26}, {11,37}, {11,28}, {5,18}, {8,55}, {10,24}, {5,55}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {12,57}, {1,28}, {7,38}, {5,42}, {12,32}, {10,43}, {6,55}, {7,44}, {9,49}, {7,43}, {9,40}, {1,27}, {5,44}, {5,25}, {9,53}, {3,37}, {8,39}, {7,13}, {9,14}, {5,36}, {4,39}, {7,36}, {6,35}, {11,50}, {12,19}, {6,50}, {8,25}, {2,42}, {4,48}, {2,32}, {6,33}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {4,56}, {4,54}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB57.27 // Bipartite(12,45) Valencies [30,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 185474329129086233156503845470208000000000 EdgesBipt[57][27]:={ {6,52}, {10,37}, {8,57}, {6,25}, {5,38}, {5,56}, {4,28}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {11,15}, {8,21}, {3,19}, {11,57}, {5,15}, {1,19}, {11,53}, {8,23}, {12,16}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {4,37}, {4,40}, {2,33}, {4,38}, {3,49}, {11,29}, {11,35}, {10,56}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {4,13}, {9,57}, {5,41}, {7,41}, {1,13}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {12,31}, {3,52}, {12,40}, {10,20}, {2,48}, {2,15}, {12,13}, {6,18}, {1,29}, {12,37}, {2,56}, {6,46}, {7,56}, {10,35}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {12,52}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {7,14}, {3,43}, {2,39}, {9,46}, {8,18}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {3,13}, {9,13}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {3,36}, {8,48}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {11,36}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {2,51}, {10,38}, {6,16}, {10,46}, {11,33}, {9,55}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {8,41}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {10,13}, {12,55}, {9,54}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {9,31}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {8,53}, {7,28}, {6,45}, {12,18}, {9,25}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {9,52}, {11,54}, {12,25}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {7,49}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {6,57}, {9,24}, {10,28}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {11,56}, {8,29}, {8,36}, {8,27}, {2,45}, {4,55}, {3,48}, {3,33}, {10,50}, {11,30}, {9,28}, {3,34}, {2,21}, {7,55}, {5,24}, {11,47}, {4,46}, {11,45}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {2,57}, {3,57}, {6,54}, {8,14}, {1,53}, {3,15}, {5,51}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {9,15}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {12,57}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {6,55}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {12,54}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {11,50}, {12,19}, {1,37}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB57.28 // Bipartite(12,45) Valencies [30,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23776267862016000000000 EdgesBipt[57][28]:={ {6,38}, {11,40}, {10,37}, {8,57}, {11,49}, {5,22}, {9,17}, {10,18}, {4,28}, {8,51}, {3,26}, {8,26}, {1,49}, {1,40}, {2,35}, {4,31}, {8,40}, {6,15}, {5,57}, {3,35}, {11,15}, {8,21}, {3,19}, {11,57}, {5,15}, {2,49}, {11,53}, {3,20}, {3,21}, {6,48}, {3,39}, {5,32}, {11,14}, {8,31}, {4,40}, {4,37}, {6,56}, {6,14}, {2,33}, {6,32}, {11,35}, {11,17}, {6,29}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {10,17}, {12,28}, {2,25}, {12,48}, {4,43}, {1,52}, {2,52}, {8,30}, {8,13}, {12,46}, {4,16}, {7,45}, {4,13}, {9,57}, {12,20}, {5,41}, {8,52}, {7,41}, {12,38}, {1,13}, {7,27}, {12,42}, {6,39}, {11,39}, {2,17}, {10,26}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {12,23}, {5,37}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {12,37}, {2,56}, {6,46}, {7,56}, {10,35}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {1,38}, {3,17}, {8,49}, {7,15}, {8,22}, {9,36}, {1,43}, {9,29}, {9,39}, {11,51}, {8,42}, {9,20}, {4,22}, {7,54}, {6,51}, {1,18}, {3,38}, {7,14}, {3,43}, {5,28}, {2,39}, {9,46}, {4,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {12,27}, {11,22}, {6,27}, {2,30}, {5,53}, {11,42}, {5,35}, {3,36}, {8,48}, {4,32}, {2,44}, {2,13}, {8,56}, {12,15}, {8,15}, {11,21}, {12,47}, {12,56}, {6,36}, {8,17}, {4,53}, {10,16}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {11,23}, {10,36}, {2,51}, {10,46}, {11,33}, {9,55}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {9,26}, {5,14}, {3,29}, {1,41}, {10,13}, {4,45}, {12,55}, {1,51}, {9,54}, {10,19}, {12,41}, {9,19}, {3,44}, {11,44}, {3,25}, {11,13}, {11,46}, {2,43}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {5,19}, {10,31}, {10,44}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {8,53}, {6,45}, {12,18}, {2,16}, {8,34}, {9,25}, {5,40}, {10,22}, {4,50}, {7,23}, {12,45}, {4,34}, {10,25}, {12,29}, {11,32}, {9,52}, {1,16}, {10,52}, {4,14}, {10,54}, {7,49}, {6,23}, {4,36}, {1,32}, {9,44}, {1,54}, {7,52}, {6,37}, {7,24}, {6,57}, {10,28}, {5,31}, {6,20}, {4,44}, {7,40}, {12,50}, {5,23}, {2,26}, {3,53}, {10,40}, {12,14}, {9,21}, {7,29}, {8,29}, {5,46}, {4,55}, {6,47}, {3,48}, {1,45}, {10,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {4,46}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {2,57}, {3,57}, {6,54}, {7,51}, {11,31}, {5,51}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {7,42}, {6,41}, {10,53}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {7,18}, {11,37}, {2,47}, {11,28}, {7,16}, {1,23}, {5,55}, {10,27}, {10,34}, {5,17}, {8,35}, {10,45}, {2,40}, {6,21}, {9,45}, {4,26}, {12,57}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {10,43}, {6,55}, {7,43}, {11,55}, {8,20}, {1,27}, {5,44}, {5,13}, {12,54}, {9,53}, {10,23}, {4,52}, {9,43}, {4,19}, {8,39}, {3,37}, {7,13}, {9,34}, {10,14}, {10,32}, {7,36}, {11,50}, {12,19}, {6,50}, {8,25}, {2,42}, {6,33}, {12,21}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {4,54}, {10,49}, {9,37} }; // ETB57.29 // Bipartite(12,45) Valencies [30,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21666124089262080 EdgesBipt[57][29]:={ {6,52}, {6,38}, {11,40}, {10,37}, {9,32}, {5,38}, {9,17}, {10,18}, {5,56}, {4,28}, {11,25}, {5,45}, {12,22}, {8,26}, {1,49}, {1,40}, {2,35}, {5,57}, {11,15}, {10,33}, {3,19}, {11,57}, {5,15}, {1,19}, {2,49}, {11,53}, {3,23}, {8,23}, {12,16}, {1,21}, {6,48}, {5,32}, {4,51}, {1,35}, {8,31}, {4,40}, {4,37}, {2,46}, {6,56}, {6,14}, {10,48}, {3,49}, {11,35}, {10,56}, {11,17}, {6,29}, {11,27}, {1,20}, {3,18}, {8,16}, {9,18}, {2,34}, {12,28}, {12,48}, {4,43}, {2,52}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {8,46}, {4,13}, {9,57}, {8,37}, {5,41}, {8,52}, {12,38}, {1,13}, {12,26}, {7,27}, {12,42}, {6,39}, {11,39}, {10,26}, {2,17}, {12,31}, {3,52}, {10,20}, {1,24}, {2,15}, {12,23}, {12,13}, {1,36}, {6,18}, {1,29}, {12,37}, {2,56}, {6,46}, {10,35}, {6,44}, {11,18}, {8,38}, {9,47}, {4,49}, {5,50}, {12,52}, {6,24}, {2,29}, {3,17}, {8,49}, {10,51}, {8,22}, {1,43}, {11,51}, {4,22}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {5,27}, {7,14}, {3,43}, {2,39}, {9,46}, {4,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {9,13}, {1,39}, {6,27}, {2,30}, {5,53}, {11,42}, {5,35}, {4,21}, {7,19}, {2,44}, {8,56}, {8,50}, {8,15}, {11,21}, {12,56}, {6,36}, {8,17}, {1,55}, {11,36}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {11,23}, {10,36}, {6,16}, {11,33}, {9,55}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {7,46}, {8,45}, {2,23}, {10,13}, {4,45}, {1,51}, {10,19}, {9,22}, {12,41}, {9,19}, {3,25}, {7,35}, {4,33}, {7,50}, {7,34}, {11,24}, {9,31}, {10,44}, {10,29}, {6,13}, {1,25}, {2,20}, {9,16}, {9,30}, {5,39}, {8,53}, {3,32}, {7,28}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {4,50}, {6,22}, {4,34}, {10,25}, {12,29}, {1,57}, {6,31}, {11,32}, {9,52}, {11,54}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {4,15}, {7,49}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {6,43}, {6,37}, {8,32}, {7,24}, {6,57}, {10,28}, {2,19}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {3,53}, {2,26}, {10,40}, {12,14}, {10,21}, {7,29}, {11,56}, {8,29}, {9,23}, {7,21}, {2,45}, {4,55}, {3,48}, {3,33}, {10,50}, {10,15}, {11,30}, {9,28}, {3,34}, {7,55}, {5,24}, {2,22}, {11,47}, {2,31}, {11,45}, {12,36}, {3,45}, {2,53}, {5,26}, {12,44}, {7,47}, {2,37}, {12,53}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {5,47}, {12,39}, {3,57}, {6,54}, {8,14}, {7,51}, {3,15}, {5,51}, {11,41}, {7,25}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,50}, {2,47}, {7,16}, {5,18}, {5,55}, {11,20}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {8,54}, {6,21}, {9,45}, {4,26}, {12,57}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {2,38}, {10,43}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {4,20}, {8,20}, {1,27}, {5,25}, {12,54}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {7,36}, {11,50}, {4,48}, {7,57}, {2,32}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {5,30}, {10,49}, {11,38}, {9,37} }; // ETB57.30 // Bipartite(12,45) Valencies [30,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2229025112064000000000 EdgesBipt[57][30]:={ {6,52}, {7,48}, {11,40}, {8,57}, {11,49}, {6,25}, {5,38}, {5,22}, {9,17}, {10,18}, {5,56}, {4,28}, {2,55}, {8,51}, {3,26}, {12,22}, {8,26}, {1,49}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {8,21}, {3,19}, {11,57}, {5,15}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {6,48}, {4,51}, {11,14}, {7,30}, {4,37}, {4,40}, {2,46}, {10,48}, {3,49}, {11,29}, {10,56}, {11,27}, {1,20}, {10,47}, {2,34}, {10,17}, {9,18}, {2,25}, {12,48}, {4,24}, {1,52}, {2,52}, {8,30}, {9,33}, {4,13}, {7,41}, {1,13}, {12,26}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {10,20}, {1,24}, {2,48}, {12,23}, {5,37}, {12,13}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {7,56}, {10,35}, {4,23}, {11,18}, {8,38}, {9,47}, {4,49}, {12,52}, {6,24}, {1,38}, {3,17}, {2,36}, {7,15}, {9,36}, {6,34}, {1,43}, {9,29}, {12,49}, {8,42}, {9,20}, {4,22}, {6,51}, {1,18}, {3,38}, {7,14}, {3,43}, {5,28}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {3,13}, {11,22}, {7,37}, {6,27}, {2,30}, {5,53}, {5,35}, {8,48}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {4,53}, {10,16}, {11,36}, {3,55}, {9,51}, {3,16}, {1,47}, {10,57}, {11,23}, {10,36}, {10,38}, {6,16}, {9,55}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {7,46}, {8,45}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {9,54}, {12,41}, {9,19}, {3,44}, {3,25}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {5,19}, {10,31}, {10,44}, {10,29}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {5,39}, {8,53}, {3,32}, {7,28}, {6,45}, {2,16}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {10,25}, {6,31}, {11,32}, {9,52}, {11,54}, {12,25}, {1,16}, {10,52}, {3,22}, {4,14}, {10,54}, {4,15}, {7,39}, {3,41}, {4,36}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {6,57}, {9,24}, {5,31}, {2,19}, {4,44}, {2,54}, {2,41}, {12,50}, {12,43}, {5,20}, {3,53}, {2,26}, {10,40}, {12,14}, {10,21}, {7,29}, {11,56}, {2,28}, {8,29}, {7,21}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {1,45}, {3,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {7,55}, {5,24}, {11,47}, {4,46}, {3,56}, {11,45}, {1,33}, {2,53}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {12,53}, {3,28}, {12,33}, {11,19}, {8,33}, {5,47}, {12,39}, {2,57}, {6,54}, {8,14}, {7,51}, {11,31}, {5,51}, {11,41}, {7,25}, {1,14}, {1,34}, {5,21}, {2,50}, {7,42}, {9,15}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {11,37}, {11,28}, {7,16}, {1,23}, {5,55}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {8,54}, {6,21}, {9,45}, {4,26}, {12,57}, {7,20}, {9,27}, {7,38}, {5,42}, {12,32}, {10,43}, {6,55}, {7,43}, {11,55}, {8,20}, {1,27}, {5,44}, {5,13}, {9,53}, {9,43}, {4,19}, {8,39}, {3,37}, {9,42}, {9,34}, {12,35}, {11,50}, {7,57}, {2,32}, {6,33}, {12,21}, {2,14}, {12,51}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB57.31 // Bipartite(27,30) Valencies [30,27] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2888303761845069063000379588696885040067001712640000000000000 EdgesBipt[57][31]:={ {15,47}, {8,40}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {20,47}, {15,49}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {3,38}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {26,48}, {15,55}, {24,41}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {11,31}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {23,28}, {26,53}, {10,40}, {23,48}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {7,38}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {1,28}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {25,38}, {23,56}, {20,37}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {26,46}, {11,37}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {5,48}, {9,45}, {7,47}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {3,55}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {12,32}, {22,44}, {14,44}, {25,51}, {20,54}, {7,49}, {1,56}, {11,36}, {6,52}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {11,39}, {4,53}, {7,30}, {26,31}, {24,56}, {10,51}, {17,50}, {13,56}, {24,43}, {3,47}, {22,41}, {7,35}, {17,49}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {10,28}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {19,34}, {25,28}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {3,33}, {21,28}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {26,28}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {27,29}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {3,29}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {16,28}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {27,28}, {16,57}, {14,36}, {2,43}, {19,50}, {27,36}, {19,52}, {6,43}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {19,28}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB57.32 // Bipartite(26,31) Valencies [31,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3316200615451745961222658046281608749706557521920000000000000 EdgesBipt[57][32]:={ {15,47}, {8,40}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {3,38}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {26,48}, {26,27}, {15,55}, {24,41}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {11,31}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {23,28}, {7,27}, {10,40}, {26,53}, {23,48}, {13,30}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {7,38}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {4,27}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {25,27}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {25,38}, {23,56}, {20,37}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {26,46}, {18,27}, {11,37}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {25,39}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {3,55}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {12,32}, {22,44}, {14,44}, {25,51}, {20,54}, {7,49}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {24,27}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {11,39}, {4,53}, {7,30}, {26,31}, {24,56}, {10,51}, {17,50}, {13,56}, {24,43}, {3,47}, {22,41}, {7,35}, {17,49}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {26,32}, {26,33}, {20,48}, {20,39}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {26,35}, {9,57}, {10,28}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {1,27}, {19,34}, {25,28}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {3,33}, {21,28}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {23,49}, {11,27}, {26,41}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {17,44}, {9,49}, {3,35}, {15,53}, {26,28}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {3,29}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {13,51}, {17,47}, {22,34}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {26,29}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34} }; // ETB57.33 // Bipartite(9,48) Valencies [32,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11870357064261518922016246110093312000000000 EdgesBipt[57][33]:={ {6,52}, {8,57}, {6,25}, {5,38}, {5,56}, {4,28}, {9,10}, {8,51}, {5,45}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {8,21}, {3,19}, {5,15}, {1,19}, {8,23}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {2,33}, {4,38}, {3,49}, {1,20}, {3,18}, {9,18}, {4,43}, {1,52}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {4,13}, {9,57}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {6,39}, {6,49}, {2,17}, {3,52}, {2,48}, {2,15}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {9,36}, {6,34}, {1,43}, {9,39}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {7,14}, {3,43}, {6,10}, {2,39}, {8,18}, {9,46}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {7,37}, {5,12}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {3,36}, {6,12}, {8,48}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {9,55}, {8,47}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {9,54}, {9,22}, {4,11}, {9,19}, {4,47}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {7,50}, {1,22}, {7,34}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {8,53}, {9,12}, {7,28}, {6,45}, {9,25}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {7,49}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {6,57}, {9,24}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {8,29}, {8,36}, {8,27}, {2,45}, {4,55}, {3,48}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {7,55}, {5,24}, {8,11}, {4,46}, {3,54}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {3,57}, {6,54}, {8,14}, {7,10}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {6,55}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {3,12}, {7,13}, {9,42}, {5,36}, {9,34}, {1,37}, {2,42}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {5,30}, {9,37}, {6,40} }; // ETB57.34 // Bipartite(9,48) Valencies [32,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 309353929596332647907328000000 EdgesBipt[57][34]:={ {6,52}, {7,48}, {8,57}, {9,32}, {6,25}, {5,38}, {9,17}, {5,56}, {4,28}, {5,43}, {2,55}, {8,51}, {3,26}, {1,49}, {5,11}, {1,40}, {4,31}, {8,40}, {6,15}, {3,35}, {8,21}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {2,46}, {2,33}, {9,11}, {1,20}, {8,16}, {9,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {9,57}, {5,41}, {8,52}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {7,33}, {3,52}, {2,15}, {5,37}, {9,56}, {9,35}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {4,23}, {5,50}, {4,49}, {9,47}, {6,24}, {1,38}, {1,26}, {3,17}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {7,54}, {5,54}, {6,51}, {3,38}, {7,14}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {7,32}, {1,31}, {3,51}, {7,37}, {5,12}, {6,27}, {5,53}, {5,35}, {6,12}, {8,48}, {7,19}, {2,44}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {9,51}, {3,16}, {1,47}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {9,38}, {8,41}, {4,10}, {9,26}, {5,14}, {8,45}, {3,29}, {1,41}, {9,54}, {4,11}, {3,44}, {4,47}, {2,43}, {2,27}, {6,30}, {7,50}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {2,16}, {8,34}, {6,22}, {4,34}, {6,31}, {1,16}, {3,22}, {1,44}, {7,49}, {9,41}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {6,43}, {6,37}, {7,24}, {6,57}, {9,24}, {5,31}, {2,19}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {2,28}, {8,29}, {9,23}, {7,21}, {8,36}, {8,27}, {2,45}, {4,55}, {3,33}, {3,50}, {3,34}, {2,21}, {1,11}, {7,55}, {5,24}, {2,22}, {8,11}, {4,46}, {3,56}, {2,31}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,51}, {1,53}, {3,15}, {7,25}, {9,50}, {1,14}, {1,34}, {7,42}, {2,50}, {9,15}, {6,28}, {6,42}, {4,35}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {5,18}, {1,23}, {5,55}, {5,17}, {3,40}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {6,55}, {7,44}, {8,28}, {7,43}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {1,46}, {4,19}, {8,39}, {7,13}, {9,42}, {9,14}, {5,36}, {7,36}, {1,37}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,30}, {4,54}, {6,40} }; // ETB57.35 // Bipartite(9,48) Valencies [32,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15776790092376440832 EdgesBipt[57][35]:={ {7,48}, {6,25}, {9,32}, {5,38}, {9,17}, {4,28}, {5,43}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {2,35}, {4,31}, {8,40}, {6,15}, {5,57}, {1,19}, {2,49}, {1,21}, {3,21}, {3,39}, {4,51}, {7,30}, {8,31}, {4,40}, {2,46}, {6,56}, {2,33}, {6,32}, {3,49}, {1,12}, {9,11}, {6,29}, {1,20}, {3,18}, {8,16}, {2,34}, {2,25}, {4,24}, {4,43}, {2,52}, {4,30}, {8,30}, {9,33}, {8,12}, {4,16}, {8,46}, {1,10}, {9,57}, {7,11}, {5,41}, {8,52}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {5,37}, {9,56}, {9,35}, {1,36}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {9,47}, {2,29}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {7,14}, {6,17}, {6,10}, {8,18}, {4,18}, {7,32}, {1,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {5,53}, {5,35}, {4,21}, {8,48}, {2,44}, {2,13}, {8,56}, {8,50}, {8,10}, {8,17}, {1,55}, {3,30}, {9,51}, {3,16}, {2,24}, {9,55}, {7,12}, {8,24}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {3,29}, {2,23}, {4,45}, {1,51}, {4,11}, {9,19}, {4,47}, {3,25}, {7,35}, {6,30}, {2,12}, {7,50}, {4,33}, {1,22}, {4,57}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {8,53}, {7,28}, {2,16}, {6,11}, {8,34}, {7,23}, {6,22}, {4,34}, {1,57}, {6,31}, {9,52}, {3,42}, {3,22}, {1,44}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {1,32}, {9,44}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {5,31}, {6,20}, {7,40}, {2,41}, {5,23}, {3,53}, {9,21}, {2,28}, {8,29}, {9,23}, {8,36}, {2,45}, {4,55}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {2,22}, {4,46}, {8,43}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {3,28}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {8,14}, {7,51}, {3,15}, {7,25}, {9,50}, {1,14}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {8,44}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,18}, {8,55}, {5,55}, {5,17}, {3,40}, {2,40}, {8,54}, {9,45}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {6,55}, {6,53}, {7,44}, {8,28}, {9,40}, {8,20}, {1,27}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {7,13}, {9,14}, {5,36}, {4,39}, {7,36}, {6,35}, {1,37}, {4,48}, {2,32}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54} }; // ETB57.36 // Bipartite(25,32) Valencies [32,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4081477680555995029197117595423518461177301565440000000000000 EdgesBipt[57][36]:={ {15,47}, {8,40}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {25,30}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,26}, {25,52}, {7,42}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {18,44}, {5,47}, {16,54}, {16,26}, {11,32}, {22,43}, {15,55}, {24,41}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {22,38}, {19,56}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {5,34}, {9,29}, {13,35}, {14,26}, {23,28}, {7,27}, {10,40}, {23,48}, {13,30}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {22,26}, {20,45}, {3,46}, {7,38}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {5,30}, {24,30}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {18,26}, {8,29}, {9,54}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {4,27}, {25,47}, {24,29}, {9,42}, {13,50}, {1,37}, {12,40}, {21,47}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {25,27}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {24,42}, {21,38}, {15,37}, {7,44}, {2,41}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {25,38}, {23,56}, {20,37}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {25,26}, {17,33}, {2,35}, {22,55}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {25,39}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {12,32}, {22,44}, {1,26}, {14,44}, {15,26}, {25,51}, {20,54}, {7,49}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {24,27}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {11,39}, {4,53}, {7,30}, {24,56}, {10,51}, {17,50}, {13,56}, {24,43}, {3,47}, {22,41}, {7,35}, {17,49}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {10,28}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {13,26}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {1,27}, {19,34}, {25,28}, {8,26}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {24,26}, {14,34}, {23,49}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {3,29}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB57.37 // Bipartite(24,33) Valencies [33,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5387550538333913438540195225959044368754038066380800000000000 EdgesBipt[57][37]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {2,57}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {23,49}, {18,50}, {20,28}, {10,25}, 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{12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {24,25}, {9,54}, {11,50}, {6,43}, {24,50}, {23,26}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {24,53}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {24,51}, {7,55}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {24,57}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {12,57}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {24,42}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {17,31}, {19,56}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {18,36}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {23,51}, {24,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {22,54}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {23,57}, {13,34}, {14,56}, {23,25}, {22,50}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {23,47}, {19,25}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.38 // Bipartite(6,51) Valencies [34,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2159965342841364535698733968106979328000000000 EdgesBipt[57][38]:={ {2,44}, {6,48}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,26}, {3,22}, {2,56}, {3,40}, {4,16}, {1,10}, {4,53}, {1,56}, {4,50}, {4,56}, {2,23}, {1,13}, {5,38}, {2,51}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {5,56}, {4,31}, {1,19}, {2,27}, {5,47}, {5,20}, {3,37}, {2,26}, {2,9}, {3,52}, {2,41}, {3,57}, {6,7}, {2,14}, {5,32}, {4,23}, {2,54}, {2,42}, {6,22}, {3,18}, {3,7}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,39}, {1,31}, {3,12}, {2,53}, {2,35}, {1,22}, {6,12}, {4,47}, {6,30}, {6,55}, {6,43}, {5,23}, {6,49}, {3,51}, {2,20}, {2,57}, {6,18}, {2,48}, {4,52}, {1,29}, {3,39}, {4,35}, {2,32}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {5,48}, {5,14}, {4,55}, {1,28}, {4,13}, {3,27}, {4,7}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {5,42}, {1,52}, {6,15}, {5,41}, {2,17}, {6,51}, {5,12}, {5,54}, {3,19}, {6,27}, {1,49}, {5,44}, {5,36}, {3,21}, {1,25}, {6,19}, {1,46}, {6,9}, {6,54}, {5,51}, {1,53}, {6,28}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {4,49}, {6,34}, {3,55}, {6,10}, {5,27}, {5,26}, {3,42}, {5,9}, {6,52}, {4,25}, {4,11}, {1,8}, {4,20}, {3,28}, {1,41}, {5,45}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,21}, {2,30}, {6,13}, {5,35}, {2,18}, {1,34}, {4,17}, {3,36}, {4,44}, {4,32}, {5,57}, {6,57}, {5,53}, {2,50} }; // ETB57.39 // Bipartite(23,34) Valencies [34,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7632363262639710704598609903441979522401553927372800000000000 EdgesBipt[57][39]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {23,49}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {23,24}, {15,24}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {6,57}, {21,55}, {12,56}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {11,56}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {23,26}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {23,32}, {7,36}, {9,39}, {22,24}, {13,26}, {14,37}, {10,46}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {23,38}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {7,55}, {15,37}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {17,31}, {19,56}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {22,39}, {17,24}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {23,51}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {22,54}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {23,57}, {13,34}, {14,56}, {20,24}, {23,25}, {22,50}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {23,47}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.40 // Bipartite(22,35) Valencies [35,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11614465834451733680910928113933447099306712498176000000000000 EdgesBipt[57][40]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {22,49}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,57}, {21,55}, {12,56}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {11,56}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {22,24}, {13,26}, {10,46}, {14,37}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {7,55}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {21,54}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {22,39}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {22,23}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {22,54}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {22,50}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {22,31}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {5,57}, {22,43}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.41 // Bipartite(3,54) Valencies [36,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1574614734931354746524377062749987930112000000000 EdgesBipt[57][41]:={ {3,15}, {1,43}, {2,38}, {1,11}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {1,25}, {2,47}, {1,38}, {1,56}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {3,34}, {1,52}, {3,31}, {2,18}, {2,15}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {1,34}, {2,14}, {2,41}, {2,23}, {1,10}, {2,56}, {1,17}, {3,13}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {3,9}, {3,22}, {1,55}, {2,42}, {3,27}, {1,19}, {2,57}, {2,35}, {2,9}, {1,4}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,24}, {3,42}, {2,27}, {3,52}, {3,4}, {3,57}, {1,23}, {2,21}, {2,48}, {2,54}, {1,7}, {2,39}, {2,12}, {1,49}, {3,28}, {3,24}, {3,12}, {2,51}, {2,6}, {3,21}, {1,14}, {1,41}, {3,49}, {2,8}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {3,25}, {2,26}, {3,6}, {1,28}, {3,36}, {3,37}, {3,43}, {1,47}, {3,33}, {1,8}, {2,30}, {2,5}, {2,45} }; // ETB57.42 // Bipartite(19,38) Valencies [36,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 63777066403145711616000 EdgesBipt[57][42]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {2,20}, {2,26}, {19,22}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {2,24}, {7,53}, {18,38}, {1,32}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {6,31}, {8,40}, {1,31}, {6,35}, {17,32}, {5,50}, {16,23}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {2,56}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {18,25}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {19,28}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {16,56}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {11,22}, {1,51}, {16,32}, {16,53}, {18,32}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {5,57}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {8,53}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.43 // Bipartite(21,36) Valencies [36,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19005489547284655114217882368254731617047347724288000000000000 EdgesBipt[57][43]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,57}, {21,55}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {11,56}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {21,22}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {19,28}, {20,37}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {21,54}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.44 // Bipartite(20,37) Valencies [37,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 33485862535692011391717221315496431896702469799936000000000000 EdgesBipt[57][44]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {19,28}, {20,37}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,21}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {20,55}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.45 // Bipartite(19,38) Valencies [38,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 63623138817814821644262720499443220603734692619878400000000000 EdgesBipt[57][45]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {19,22}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {2,56}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {19,28}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {19,20}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.46 // Bipartite(18,39) Valencies [39,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 130594863889198844427697163130436084397139632219750400000000000 EdgesBipt[57][46]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.47 // Bipartite(17,40) Valencies [40,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 290210808642664098728215918067635743104754738266112000000000000 EdgesBipt[57][47]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,18}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {17,55}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.48 // Bipartite(16,41) Valencies [41,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 699920185549954591050403096516062674546761427582976000000000000 EdgesBipt[57][48]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, 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{16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.49 // Bipartite(15,42) Valencies [42,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1837290487068630801507308128354664520685248747405312000000000000 EdgesBipt[57][49]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {15,16}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {5,57}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.50 // Bipartite(14,43) Valencies [43,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5266899396263408297654283301283371625964379742561894400000000000 EdgesBipt[57][50]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.51 // Bipartite(13,44) Valencies [44,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16553112388256426078342033232604882253030907762337382400000000000 EdgesBipt[57][51]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,57}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.52 // Bipartite(12,45) Valencies [45,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 57299235190118397963491653497478438568183911485014016000000000000 EdgesBipt[57][52]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,57}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.53 // Bipartite(11,46) Valencies [46,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 219647068228787192193384671740334014511371660692553728000000000000 EdgesBipt[57][53]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {2,57}, {3,47}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,57}, {11,33}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {10,15}, {6,41}, {10,49}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.54 // Bipartite(10,47) Valencies [47,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 938492018795727093917189051981427152912224368413638656000000000000 EdgesBipt[57][54]:={ {3,42}, {7,49}, {6,36}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {2,57}, {3,47}, {6,48}, {3,55}, {3,17}, {2,11}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {7,13}, {10,13}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {10,25}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,35}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {9,54}, {6,43}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {5,21}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {10,11}, {8,55}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {1,11}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {1,34}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {7,32}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {7,56}, {10,41}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {5,11}, {6,41}, {10,15}, {10,49}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB57.55 // Bipartite(9,48) Valencies [48,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4504761690219490050802507449510850333978676968385465548800000000000 EdgesBipt[57][55]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {5,56}, {4,28}, {5,43}, {2,55}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {9,57}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {9,55}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {9,31}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {1,57}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {9,37}, {6,40} }; // ETB57.56 // Bipartite(8,49) Valencies [49,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24525924757861668054369207225114629596106130161209756876800000000000 EdgesBipt[57][56]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {2,55}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {8,25}, {2,9}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB57.57 // Bipartite(7,50) Valencies [50,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 153287029736635425339807545156966434975663313507560980480000000000000 EdgesBipt[57][57]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,8}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {6,57}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB57.58 // Bipartite(6,51) Valencies [51,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1116805502366915241761454971857898311965546998412230000640000000000000 EdgesBipt[57][58]:={ {6,52}, {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {5,28}, {6,17}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {4,57}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {4,34}, {6,22}, {1,57}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {6,37}, {6,43}, {6,57}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {6,53}, {6,55}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB57.59 // Bipartite(5,52) Valencies [52,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9678981020513265428599276422768452037034740652905993338880000000000000 EdgesBipt[57][59]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {2,46}, {4,27}, {5,34}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {5,55}, {2,51}, {5,38}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {5,56}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,57}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {4,57}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {5,48}, {4,55}, {5,14}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {5,54}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {5,51}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {5,10}, {5,27}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {1,54}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {5,57}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB57.60 // Bipartite(4,53) Valencies [53,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 102597198817440613543152330081345591592568250920803529392128000000000000 EdgesBipt[57][60]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,20}, {2,57}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {4,57}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {4,55}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {2,18}, {1,54}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB57.61 // Bipartite(3,54) Valencies [54,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1385062184035448282832556456098165486499671387430847646793728000000000000 EdgesBipt[57][61]:={ {1,15}, {3,15}, {1,43}, {2,38}, {3,56}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {3,53}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {1,55}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,57}, {3,47}, {2,9}, {1,4}, {3,5}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {3,42}, {2,27}, {3,52}, {3,4}, {2,43}, {3,35}, {3,57}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB57.62 // Bipartite(2,55) Valencies [55,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 25392806707316551851930201695133033919160642102898873524551680000000000000 EdgesBipt[57][62]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,57}, {2,9}, {1,4}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,4}, {2,24}, {2,27}, {2,43}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB57.63 // Bipartite(1,56) Valencies [56,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 710998587804863451854045647463724949736497978881168458687447040000000000000 EdgesBipt[57][63]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,56}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,57}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 57 is 63 // ******************************************************************************************** // Order 58 // ETB58.1 // Bipartite(29,29) Valencies [2,2] // Diameter 29 Girth 58 // Twin-free VT AT // Automorphism group of order 116 EdgesBipt[58][1]:={ {13,54}, {25,47}, {4,39}, {11,52}, {2,32}, {1,30}, {16,34}, {27,53}, {12,49}, {24,37}, {21,38}, {26,50}, {5,43}, {12,45}, {14,45}, {14,41}, {25,51}, {13,50}, {23,52}, {1,31}, {11,48}, {16,33}, {2,33}, {8,43}, {7,32}, {5,47}, {6,58}, {28,42}, {3,30}, {17,36}, {9,55}, {19,48}, {22,44}, {9,51}, {29,56}, {21,34}, {26,46}, {15,58}, {29,57}, {17,31}, {10,42}, {27,49}, {6,54}, {10,38}, {19,44}, {22,40}, {24,41}, {4,35}, {20,57}, {7,37}, {28,46}, {23,56}, {20,53}, {18,36}, {8,39}, {15,55}, {3,35}, {18,40} }; // ETB58.2 // Bipartite(29,29) Valencies [4,4] // Diameter 7 Girth 4 // Twin-free VT AT // Automorphism group of order 232 EdgesBipt[58][2]:={ {11,43}, {7,48}, {6,48}, {29,46}, {2,38}, {4,58}, {19,44}, {5,42}, {5,57}, {1,31}, {23,38}, {13,54}, {10,43}, {3,53}, {4,49}, {9,39}, {22,35}, {3,30}, {14,35}, {28,58}, {20,42}, {16,41}, {10,47}, {18,51}, {24,55}, {15,32}, {20,40}, {27,31}, {11,45}, {24,54}, {19,56}, {9,38}, {27,33}, {24,37}, {15,34}, {23,45}, {17,48}, {25,56}, {4,46}, {2,32}, {21,41}, {6,33}, {3,40}, {29,40}, {8,47}, {12,51}, {9,34}, {10,31}, {5,43}, {26,53}, {5,56}, {6,37}, {13,53}, {28,49}, {25,55}, {28,47}, {18,34}, {2,34}, {4,36}, {17,33}, {11,57}, {13,30}, {26,52}, {22,54}, {17,51}, {25,41}, {19,55}, {23,46}, {18,35}, {26,58}, {23,49}, {24,44}, {25,39}, {9,35}, {8,43}, {7,44}, {22,39}, {14,53}, {21,56}, {29,41}, {19,57}, {15,51}, {20,30}, {12,58}, {16,46}, {8,49}, {17,50}, {1,37}, {18,52}, {10,42}, {11,32}, {29,36}, {7,32}, {22,55}, {14,52}, {8,45}, {27,50}, {1,33}, {21,40}, {21,42}, {3,36}, {26,36}, {14,54}, {20,31}, {12,52}, {16,38}, {28,50}, {6,44}, {12,50}, {13,37}, {1,30}, {16,39}, {27,47}, {15,48}, {2,45}, {7,57} }; // ETB58.3 // Bipartite(29,29) Valencies [7,7] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 406 EdgesBipt[58][3]:={ {17,57}, {2,44}, {15,52}, {11,53}, {17,50}, {28,58}, {2,33}, {29,51}, {18,48}, {11,56}, {13,40}, {21,48}, {16,33}, {29,49}, {17,47}, {10,37}, {4,50}, {8,30}, {26,31}, {16,40}, {26,47}, {16,57}, {25,38}, {24,55}, {7,41}, {7,44}, {7,54}, {5,56}, {21,55}, {12,41}, {9,49}, {22,52}, {13,53}, {3,35}, {25,50}, {3,37}, {24,30}, {25,30}, {29,57}, {12,35}, {21,57}, {12,58}, {13,47}, {9,53}, {3,57}, {1,30}, {5,32}, {9,35}, {8,44}, {12,37}, {12,50}, {2,42}, {28,43}, {23,39}, {16,43}, {4,38}, {15,56}, {29,52}, {3,46}, {10,48}, {21,46}, {2,34}, {19,54}, {10,38}, {24,37}, {22,34}, {11,49}, {28,34}, {2,37}, {23,45}, {14,30}, {7,46}, {24,58}, {17,39}, {1,31}, {7,43}, {11,44}, {3,44}, {25,34}, {6,43}, {4,33}, {9,54}, {23,41}, {3,51}, {17,55}, {15,42}, {25,41}, {9,42}, {28,53}, {18,55}, {10,40}, {17,43}, {16,58}, {3,39}, {23,42}, {18,44}, {19,42}, {15,50}, {2,32}, {8,36}, {24,45}, {13,50}, {14,47}, {27,46}, {4,48}, {8,53}, {14,42}, {29,38}, {24,49}, {26,38}, {27,36}, {19,31}, {20,58}, {26,56}, {23,38}, {27,49}, {20,51}, {4,54}, {26,36}, {1,33}, {1,43}, {4,46}, {16,49}, {18,31}, {29,32}, {5,41}, {17,54}, {8,57}, {23,53}, {9,40}, {11,52}, {5,54}, {8,32}, {22,39}, {26,55}, {8,58}, {22,33}, {27,45}, {10,32}, {4,58}, {25,49}, {19,45}, {5,51}, {22,47}, {19,56}, {27,32}, {10,39}, {20,48}, {1,37}, {16,56}, {28,51}, {28,39}, {6,36}, {5,33}, {6,45}, {23,33}, {13,51}, {15,51}, {29,31}, {14,32}, {20,42}, {21,53}, {6,38}, {20,47}, {9,36}, {20,36}, {12,52}, {6,34}, {11,47}, {14,43}, {18,45}, {6,52}, {10,56}, {11,48}, {20,41}, {28,31}, {14,35}, {22,40}, {13,37}, {27,39}, {1,48}, {26,46}, {21,34}, {18,40}, {2,55}, {14,46}, {12,31}, {19,57}, {13,45}, {15,30}, {19,34}, {5,35}, {22,30}, {7,52}, {21,41}, {15,55}, {6,35}, {27,50}, {18,35}, {7,40}, {24,54}, {25,44}, {1,36} }; // ETB58.4 // Bipartite(29,29) Valencies [14,14] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 812 EdgesBipt[58][4]:={ {18,45}, {6,52}, {7,48}, {6,38}, {16,47}, {8,57}, {14,36}, {11,49}, {5,38}, {25,37}, {5,43}, {2,55}, {3,58}, {8,51}, {19,57}, {25,57}, {1,49}, {25,40}, {1,40}, {26,49}, {15,44}, {15,54}, {2,35}, {16,58}, {5,57}, {26,43}, {3,35}, {20,46}, {21,30}, {11,57}, {29,48}, {27,33}, {11,53}, {14,56}, {10,39}, {16,37}, {20,37}, {5,32}, {4,51}, {29,39}, {4,40}, {6,56}, {10,48}, {23,44}, {13,40}, {24,56}, {4,38}, {10,56}, {15,57}, {24,58}, {20,38}, {2,34}, {16,42}, {18,32}, {16,48}, {23,45}, {8,30}, {12,46}, {9,33}, {20,43}, {29,33}, {8,46}, {5,41}, {17,39}, {8,52}, {21,38}, {29,44}, {7,41}, {26,55}, {23,31}, {23,54}, {4,58}, {6,39}, {25,34}, {11,39}, {22,42}, {7,33}, {12,31}, {3,52}, {24,30}, {15,30}, {20,39}, {27,32}, {27,41}, {24,50}, {24,47}, {21,50}, {24,31}, {24,45}, {13,42}, {20,35}, {9,35}, {23,42}, {16,34}, {2,56}, {6,46}, {29,51}, {15,45}, {10,35}, {18,39}, {6,44}, {26,52}, {13,58}, {20,55}, {17,47}, {9,47}, {4,49}, {17,36}, {18,47}, {29,47}, {14,32}, {13,41}, {8,49}, {25,52}, {10,51}, {24,37}, {22,58}, {9,36}, {1,43}, {12,49}, {11,51}, {7,54}, {18,33}, {18,36}, {22,43}, {29,32}, {19,46}, {3,43}, {18,56}, {24,41}, {20,41}, {27,45}, {24,40}, {26,42}, {14,35}, {27,39}, {1,42}, {28,40}, {7,32}, {19,38}, {1,31}, {25,33}, {18,55}, {1,39}, {13,49}, {11,42}, {5,53}, {3,36}, {8,48}, {14,54}, {27,57}, {2,44}, {1,30}, {8,56}, {12,56}, {6,36}, {29,52}, {24,53}, {11,36}, {3,30}, {3,55}, {13,48}, {9,51}, {10,57}, {22,48}, {21,47}, {16,57}, {14,33}, {10,38}, {15,34}, {22,56}, {17,51}, {14,39}, {21,31}, {19,30}, {8,41}, {9,38}, {27,37}, {17,54}, {21,37}, {17,31}, {1,51}, {13,53}, {28,49}, {11,44}, {20,31}, {17,55}, {7,35}, {16,56}, {25,30}, {2,43}, {15,58}, {22,30}, {27,34}, {7,50}, {22,44}, {10,31}, {7,58}, {17,46}, {13,50}, {23,35}, {19,55}, {22,45}, {16,41}, {25,31}, {19,41}, {8,34}, {14,52}, {10,30}, {5,40}, {21,58}, {23,47}, {28,37}, {12,45}, {26,47}, {4,34}, {15,35}, {25,53}, {26,31}, {28,45}, {17,52}, {22,53}, {9,52}, {21,32}, {11,54}, {15,40}, {19,50}, {3,42}, {10,52}, {14,37}, {13,38}, {15,49}, {10,54}, {19,53}, {27,58}, {16,31}, {25,38}, {4,36}, {15,39}, {1,54}, {21,39}, {28,32}, {6,43}, {8,32}, {24,51}, {6,57}, {26,48}, {5,31}, {20,48}, {26,53}, {19,34}, {4,44}, {2,54}, {21,49}, {7,40}, {12,50}, {18,41}, {18,30}, {29,37}, {29,42}, {22,38}, {14,58}, {21,46}, {23,52}, {4,55}, {6,47}, {16,36}, {13,32}, {10,50}, {3,50}, {19,33}, {19,39}, {7,55}, {16,46}, {25,36}, {8,43}, {11,45}, {1,33}, {20,53}, {12,36}, {3,45}, {2,53}, {12,44}, {29,53}, {2,37}, {4,42}, {12,53}, {23,55}, {14,30}, {7,31}, {12,33}, {5,47}, {28,54}, {17,34}, {6,54}, {3,57}, {28,33}, {15,47}, {14,49}, {7,51}, {22,33}, {21,44}, {15,48}, {28,55}, {19,35}, {26,50}, {5,51}, {13,34}, {24,52}, {11,41}, {9,50}, {1,34}, {22,51}, {2,50}, {6,41}, {23,49}, {28,56}, {29,46}, {24,44}, {12,34}, {8,44}, {26,57}, {23,30}, {19,58}, {27,44}, {4,35}, {21,48}, {23,46}, {5,49}, {28,57}, {13,54}, {20,45}, {1,50}, {11,37}, {23,33}, {2,47}, {16,35}, {8,55}, {17,53}, {3,40}, {10,45}, {17,45}, {9,45}, {14,41}, {12,57}, {16,54}, {22,46}, {20,56}, {28,38}, {5,42}, {2,38}, {12,32}, {21,36}, {7,44}, {27,42}, {9,49}, {7,43}, {18,40}, {11,55}, {19,51}, {27,43}, {20,40}, {25,54}, {4,52}, {22,36}, {9,43}, {26,33}, {14,53}, {1,46}, {27,31}, {3,37}, {29,35}, {23,41}, {25,55}, {28,58}, {5,36}, {9,34}, {15,43}, {13,46}, {10,32}, {4,39}, {25,48}, {12,35}, {17,32}, {11,50}, {28,51}, {13,52}, {17,43}, {6,50}, {26,58}, {1,37}, {26,56}, {2,42}, {18,42}, {2,32}, {18,34}, {18,48}, {3,46}, {9,48}, {28,47}, {4,56}, {5,30}, {9,37}, {27,38}, {6,40}, {29,40} }; // ETB58.5 // Bipartite(28,30) Valencies [15,14] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 46240323500727336960000000000 EdgesBipt[58][5]:={ {24,34}, {15,33}, {7,48}, {6,38}, {8,57}, {27,48}, {14,36}, {11,49}, {16,51}, {25,37}, {5,43}, {25,47}, {8,51}, {19,57}, {1,49}, {25,40}, {13,37}, {1,40}, {14,38}, {28,44}, {11,43}, {15,54}, {14,50}, {2,35}, {8,40}, {16,58}, {20,46}, {11,57}, {24,32}, {27,33}, {21,41}, {14,56}, {6,48}, {3,39}, {19,37}, {20,58}, {1,35}, {4,51}, {7,30}, {28,52}, {4,40}, {20,52}, {13,43}, {6,56}, {14,29}, {10,48}, {13,40}, {14,44}, {27,54}, {6,32}, {17,35}, {24,56}, {4,38}, {3,49}, {21,53}, {10,56}, {15,57}, {10,42}, {6,29}, {24,58}, {27,36}, {10,47}, {20,38}, {19,31}, {26,38}, {21,40}, {18,32}, {1,52}, {23,45}, {12,46}, {28,50}, {7,45}, {8,46}, {24,46}, {5,41}, {8,52}, {12,38}, {23,31}, {23,54}, {4,58}, {23,36}, {25,34}, {11,39}, {26,29}, {22,42}, {7,33}, {12,40}, {19,48}, {13,47}, {2,48}, {15,30}, {20,39}, {5,37}, {24,50}, {26,35}, {13,55}, {18,35}, {24,45}, {23,43}, {9,35}, {1,29}, {19,42}, {23,42}, {16,34}, {2,56}, {15,45}, {10,35}, {6,44}, {13,58}, {8,38}, {17,47}, {9,47}, {12,52}, {2,29}, {5,34}, {18,47}, {14,32}, {2,36}, {13,41}, {25,52}, {16,40}, {26,36}, {27,30}, {18,29}, {1,43}, {9,29}, {11,51}, {7,54}, {18,36}, {3,43}, {18,56}, {21,55}, {27,45}, {9,46}, {24,40}, {26,42}, {14,35}, {27,39}, {28,40}, {1,31}, {3,31}, {3,51}, {13,49}, {7,37}, {2,30}, {5,53}, {11,42}, {9,58}, {5,35}, {3,36}, {19,49}, {25,29}, {17,29}, {14,54}, {26,41}, {27,57}, {4,32}, {2,44}, {8,56}, {8,50}, {12,56}, {6,36}, {23,39}, {1,55}, {11,36}, {3,30}, {3,55}, {1,47}, {22,48}, {21,47}, {16,57}, {10,36}, {15,37}, {20,51}, {10,38}, {11,33}, {22,56}, {9,55}, {17,58}, {21,31}, {11,48}, {19,30}, {27,37}, {18,38}, {21,37}, {8,45}, {28,34}, {17,31}, {1,41}, {4,45}, {26,44}, {13,53}, {22,29}, {18,54}, {26,54}, {24,39}, {23,48}, {25,49}, {17,55}, {19,45}, {16,56}, {5,52}, {22,30}, {6,30}, {4,33}, {22,44}, {4,57}, {9,31}, {25,41}, {10,44}, {10,29}, {17,46}, {23,51}, {25,46}, {22,50}, {13,31}, {24,38}, {19,55}, {18,44}, {20,44}, {25,31}, {13,29}, {8,34}, {10,30}, {5,40}, {4,50}, {21,58}, {12,45}, {26,47}, {4,34}, {25,53}, {28,45}, {17,52}, {22,53}, {9,52}, {27,51}, {11,54}, {3,42}, {15,49}, {10,54}, {7,49}, {9,41}, {16,45}, {7,39}, {15,39}, {22,41}, {28,32}, {8,32}, {24,51}, {26,48}, {5,31}, {26,53}, {16,44}, {4,44}, {2,54}, {21,49}, {2,41}, {17,41}, {12,50}, {20,32}, {18,41}, {23,37}, {26,30}, {18,30}, {14,47}, {23,57}, {21,52}, {22,38}, {28,39}, {21,46}, {5,46}, {6,47}, {3,48}, {25,43}, {3,33}, {10,50}, {20,50}, {27,49}, {11,30}, {19,33}, {19,39}, {19,43}, {7,55}, {20,57}, {16,46}, {4,46}, {16,38}, {11,45}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {12,44}, {24,57}, {5,29}, {16,50}, {27,55}, {10,41}, {23,55}, {14,30}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {12,58}, {5,47}, {17,34}, {6,54}, {3,57}, {21,35}, {28,33}, {15,55}, {7,51}, {11,31}, {20,33}, {15,48}, {1,53}, {26,50}, {13,34}, {24,52}, {26,32}, {15,42}, {1,34}, {13,35}, {21,43}, {7,42}, {2,50}, {6,41}, {23,49}, {28,56}, {10,53}, {21,29}, {17,40}, {24,44}, {12,34}, {8,44}, {19,36}, {23,30}, {6,42}, {15,51}, {18,53}, {5,49}, {28,57}, {20,34}, {20,45}, {11,37}, {23,33}, {2,47}, {5,55}, {14,42}, {16,33}, {17,53}, {14,41}, {18,50}, {12,57}, {17,37}, {16,39}, {20,56}, {16,52}, {28,38}, {2,38}, {12,32}, {15,36}, {25,35}, {22,35}, {15,31}, {6,53}, {27,42}, {9,49}, {7,43}, {9,40}, {11,55}, {19,51}, {27,43}, {20,40}, {22,54}, {9,53}, {4,52}, {22,36}, {9,43}, {22,47}, {14,53}, {1,46}, {27,31}, {3,37}, {8,39}, {22,32}, {25,55}, {28,58}, {9,34}, {24,33}, {15,43}, {13,46}, {10,32}, {4,39}, {7,36}, {6,35}, {28,51}, {13,52}, {17,43}, {25,58}, {6,50}, {14,48}, {1,37}, {1,58}, {26,56}, {2,42}, {18,42}, {16,32}, {7,57}, {2,32}, {12,51}, {17,49}, {18,48}, {19,54}, {4,56}, {28,46}, {9,37} }; // ETB58.6 // Bipartite(22,36) Valencies [18,11] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17240116101120 EdgesBipt[58][6]:={ {15,33}, {7,48}, {6,38}, {19,28}, {11,40}, {16,47}, {8,57}, {14,36}, {6,25}, {16,51}, {5,43}, {3,58}, {8,51}, {19,57}, {5,45}, {3,26}, {8,26}, {22,40}, {11,43}, {4,31}, {8,40}, {5,57}, {20,46}, {10,33}, {14,31}, {15,27}, {11,53}, {2,49}, {14,45}, {6,48}, {16,37}, {19,37}, {20,37}, {16,28}, {20,58}, {21,28}, {1,35}, {15,41}, {4,37}, {13,43}, {6,58}, {14,57}, {14,29}, {2,33}, {4,38}, {11,29}, {15,57}, {10,42}, {11,27}, {10,47}, {19,40}, {22,37}, {2,25}, {4,24}, {4,43}, {21,40}, {16,42}, {16,48}, {18,32}, {4,30}, {16,49}, {20,43}, {17,39}, {8,52}, {7,41}, {20,49}, {7,27}, {11,39}, {6,49}, {10,26}, {12,31}, {3,52}, {20,29}, {17,26}, {1,24}, {12,23}, {18,58}, {22,25}, {19,52}, {13,55}, {18,35}, {16,25}, {20,35}, {9,35}, {1,36}, {1,29}, {19,42}, {12,37}, {6,46}, {7,56}, {10,35}, {15,45}, {18,39}, {13,58}, {8,38}, {20,55}, {13,26}, {9,47}, {4,49}, {6,24}, {2,29}, {5,34}, {18,47}, {18,46}, {13,41}, {16,40}, {20,42}, {9,36}, {6,34}, {9,29}, {9,39}, {11,51}, {12,49}, {18,26}, {5,54}, {3,38}, {5,27}, {19,46}, {15,28}, {18,56}, {21,55}, {20,41}, {2,39}, {1,42}, {7,32}, {19,56}, {12,27}, {7,37}, {7,53}, {11,42}, {2,30}, {3,36}, {19,49}, {8,48}, {20,25}, {4,32}, {22,49}, {1,30}, {8,56}, {8,50}, {14,28}, {12,56}, {12,47}, {6,36}, {18,51}, {3,30}, {9,51}, {1,47}, {10,57}, {21,47}, {22,26}, {3,24}, {14,33}, {2,51}, {10,38}, {15,34}, {22,56}, {9,55}, {17,51}, {17,58}, {21,31}, {19,30}, {10,55}, {8,24}, {9,38}, {9,26}, {18,38}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {1,41}, {12,55}, {13,53}, {22,29}, {15,23}, {18,54}, {20,54}, {11,44}, {13,45}, {20,31}, {17,55}, {17,28}, {19,45}, {15,58}, {2,27}, {22,44}, {7,34}, {10,31}, {9,31}, {7,58}, {15,52}, {17,46}, {15,53}, {13,56}, {22,50}, {13,50}, {20,30}, {13,31}, {5,39}, {18,44}, {6,45}, {13,29}, {14,52}, {15,46}, {10,30}, {20,47}, {4,50}, {21,58}, {16,30}, {12,45}, {15,35}, {17,38}, {1,57}, {11,32}, {17,52}, {22,53}, {21,32}, {12,25}, {11,54}, {10,52}, {3,42}, {14,43}, {15,40}, {13,57}, {14,37}, {1,44}, {13,38}, {10,54}, {19,44}, {14,40}, {1,48}, {7,49}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {22,41}, {1,32}, {1,54}, {22,52}, {6,37}, {8,32}, {7,24}, {6,57}, {10,28}, {9,24}, {5,31}, {17,25}, {19,34}, {4,44}, {2,54}, {2,41}, {12,43}, {2,26}, {3,53}, {17,50}, {10,40}, {14,55}, {7,29}, {11,56}, {18,30}, {21,52}, {9,23}, {22,38}, {8,36}, {13,44}, {8,27}, {2,45}, {21,46}, {5,46}, {4,55}, {6,47}, {3,48}, {16,36}, {13,32}, {1,45}, {10,50}, {11,30}, {3,50}, {19,33}, {3,34}, {5,24}, {15,29}, {1,33}, {18,27}, {5,58}, {3,54}, {20,53}, {16,27}, {2,53}, {12,44}, {19,25}, {2,37}, {4,42}, {4,25}, {3,28}, {21,34}, {12,33}, {8,33}, {12,39}, {2,57}, {17,34}, {21,35}, {7,51}, {14,49}, {15,47}, {11,31}, {21,44}, {1,53}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {9,50}, {6,26}, {21,43}, {22,23}, {2,50}, {17,40}, {20,23}, {8,44}, {19,58}, {16,23}, {18,23}, {21,48}, {19,32}, {13,33}, {15,51}, {14,25}, {1,56}, {20,34}, {11,28}, {1,23}, {16,35}, {5,55}, {3,40}, {10,45}, {17,27}, {21,56}, {14,41}, {18,50}, {4,26}, {12,57}, {16,54}, {16,39}, {17,37}, {16,24}, {16,52}, {9,27}, {5,42}, {2,38}, {12,32}, {22,35}, {10,43}, {21,36}, {7,44}, {8,28}, {11,55}, {10,23}, {9,53}, {9,43}, {22,47}, {14,53}, {8,39}, {22,32}, {5,36}, {13,46}, {12,35}, {7,36}, {6,35}, {21,24}, {17,43}, {6,50}, {14,48}, {22,28}, {2,42}, {18,42}, {4,48}, {6,33}, {18,34}, {12,51}, {17,49}, {3,46}, {9,48}, {19,54}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {21,23} }; // ETB58.7 // Bipartite(18,40) Valencies [20,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 194164967992494116988518400000000 EdgesBipt[58][7]:={ {15,33}, {7,48}, {6,38}, {8,57}, {14,36}, {11,49}, {5,38}, {5,22}, {11,25}, {4,28}, {5,45}, {12,22}, {1,40}, {16,22}, {13,39}, {17,42}, {17,33}, {8,40}, {5,57}, {16,58}, {3,35}, {8,21}, {3,19}, {11,57}, {15,27}, {1,19}, {11,53}, {2,49}, {14,56}, {3,23}, {3,21}, {14,45}, {3,39}, {16,28}, {1,35}, {15,41}, {4,40}, {13,43}, {6,58}, {13,27}, {14,57}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {11,29}, {10,56}, {15,57}, {10,42}, {1,20}, {2,25}, {4,24}, {16,42}, {1,52}, {16,48}, {2,52}, {4,30}, {12,46}, {9,33}, {8,37}, {9,57}, {5,41}, {8,52}, {12,38}, {12,26}, {7,27}, {4,58}, {12,42}, {6,39}, {10,26}, {12,31}, {10,20}, {17,26}, {13,47}, {13,24}, {1,24}, {2,48}, {12,23}, {18,58}, {5,37}, {13,20}, {13,55}, {18,35}, {9,35}, {1,36}, {15,19}, {13,51}, {16,34}, {2,56}, {6,46}, {7,56}, {15,45}, {18,39}, {9,47}, {5,50}, {2,29}, {5,34}, {18,47}, {18,46}, {13,19}, {14,32}, {2,36}, {8,49}, {16,40}, {6,34}, {1,43}, {9,29}, {9,39}, {18,26}, {4,22}, {5,54}, {6,51}, {3,43}, {3,47}, {7,32}, {1,31}, {3,31}, {12,27}, {3,51}, {11,22}, {18,55}, {1,39}, {6,27}, {11,42}, {5,53}, {17,57}, {17,29}, {8,48}, {18,19}, {7,19}, {4,32}, {2,44}, {8,56}, {14,28}, {11,21}, {12,47}, {1,55}, {18,51}, {13,48}, {3,55}, {9,51}, {1,47}, {2,24}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {10,58}, {11,33}, {18,22}, {9,55}, {17,58}, {8,24}, {8,41}, {14,21}, {17,54}, {18,38}, {8,45}, {11,58}, {3,29}, {13,36}, {12,55}, {1,51}, {15,23}, {18,54}, {9,19}, {3,25}, {11,34}, {7,35}, {11,46}, {16,56}, {12,30}, {6,30}, {9,31}, {10,44}, {17,46}, {15,53}, {13,56}, {6,19}, {2,20}, {13,31}, {8,53}, {7,28}, {14,52}, {9,25}, {17,30}, {10,22}, {10,30}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {15,35}, {17,38}, {6,31}, {11,54}, {16,26}, {10,52}, {14,37}, {1,44}, {15,49}, {10,54}, {18,31}, {14,40}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {1,32}, {7,52}, {6,43}, {8,32}, {7,24}, {10,28}, {17,22}, {17,25}, {16,44}, {4,44}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {3,53}, {17,50}, {10,40}, {9,21}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {13,44}, {2,45}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {10,50}, {11,30}, {2,21}, {7,55}, {16,46}, {15,29}, {16,20}, {4,46}, {16,38}, {11,45}, {18,27}, {5,58}, {3,45}, {2,53}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {7,31}, {8,33}, {12,39}, {12,58}, {2,57}, {3,57}, {6,54}, {17,34}, {15,55}, {7,51}, {14,49}, {15,47}, {14,24}, {11,41}, {6,26}, {13,35}, {5,21}, {12,34}, {8,44}, {17,21}, {6,42}, {18,23}, {18,43}, {15,51}, {14,20}, {14,25}, {15,21}, {5,49}, {1,56}, {11,37}, {1,23}, {10,24}, {10,34}, {17,53}, {13,23}, {2,40}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {16,54}, {17,37}, {13,28}, {1,28}, {16,24}, {16,52}, {3,27}, {7,20}, {9,27}, {5,42}, {15,31}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {4,20}, {8,20}, {1,27}, {5,25}, {12,54}, {9,53}, {4,52}, {9,43}, {14,53}, {3,37}, {10,32}, {15,43}, {12,35}, {7,36}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {14,48}, {8,25}, {18,42}, {4,48}, {16,32}, {2,32}, {18,34}, {12,51}, {17,49}, {11,26}, {5,33}, {15,25}, {4,56}, {4,54}, {5,30}, {11,38}, {9,37} }; // ETB58.8 // Bipartite(18,40) Valencies [20,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 96293884841164800000000 EdgesBipt[58][8]:={ {13,21}, {6,52}, {6,38}, {16,47}, {11,49}, {9,32}, {6,25}, {11,25}, {5,43}, {12,22}, {8,26}, {13,37}, {14,38}, {11,43}, {14,50}, {17,33}, {4,31}, {8,40}, {5,57}, {16,58}, {3,35}, {10,33}, {8,21}, {3,19}, {11,57}, {15,27}, {16,55}, {1,19}, {14,56}, {3,23}, {10,39}, {1,21}, {3,21}, {14,45}, {3,39}, {15,56}, {1,35}, {7,30}, {4,40}, {2,46}, {13,43}, {6,58}, {13,27}, {14,29}, {10,48}, {17,35}, {11,35}, {10,56}, {10,42}, {11,27}, {1,20}, {10,47}, {2,34}, {12,28}, {4,24}, {16,42}, {1,52}, {16,48}, {15,32}, {8,30}, {16,49}, {12,46}, {7,45}, {8,46}, {8,37}, {12,20}, {5,41}, {17,39}, {12,38}, {12,26}, {13,30}, {7,27}, {4,58}, {12,42}, {11,39}, {6,49}, {10,26}, {17,20}, {2,48}, {18,58}, {13,20}, {16,25}, {9,56}, {9,35}, {1,36}, {1,29}, {15,19}, {13,51}, {16,34}, {2,56}, {6,46}, {15,45}, {6,44}, {4,23}, {8,38}, {18,57}, {17,47}, {9,47}, {12,52}, {4,49}, {17,36}, {2,29}, {1,38}, {18,46}, {13,19}, {14,32}, {16,40}, {8,22}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {18,26}, {7,54}, {18,33}, {18,36}, {5,27}, {3,43}, {5,28}, {14,46}, {3,47}, {3,31}, {3,51}, {7,37}, {7,53}, {2,30}, {17,57}, {5,35}, {14,34}, {8,48}, {14,54}, {7,19}, {4,32}, {1,30}, {8,56}, {8,50}, {6,36}, {11,36}, {3,55}, {9,51}, {10,57}, {2,24}, {11,23}, {16,57}, {3,24}, {15,37}, {10,58}, {11,33}, {18,22}, {9,55}, {17,51}, {10,55}, {8,24}, {4,41}, {14,21}, {18,20}, {18,38}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {13,36}, {1,51}, {13,53}, {15,23}, {12,41}, {18,54}, {9,19}, {13,45}, {4,47}, {11,44}, {17,55}, {17,28}, {7,35}, {16,56}, {5,52}, {12,30}, {6,30}, {4,33}, {1,22}, {10,31}, {9,31}, {5,19}, {4,57}, {18,25}, {13,22}, {15,53}, {5,39}, {17,19}, {8,53}, {3,32}, {18,44}, {16,41}, {7,28}, {17,44}, {13,29}, {8,34}, {4,50}, {6,22}, {4,34}, {10,25}, {15,35}, {15,24}, {17,52}, {12,25}, {16,26}, {15,40}, {14,37}, {1,44}, {13,38}, {14,40}, {16,31}, {15,39}, {1,54}, {7,52}, {8,32}, {6,57}, {9,24}, {5,31}, {17,25}, {6,20}, {2,54}, {12,50}, {17,41}, {5,23}, {5,20}, {3,53}, {2,26}, {18,41}, {10,40}, {9,21}, {7,29}, {18,30}, {8,29}, {9,23}, {7,21}, {13,44}, {14,58}, {2,45}, {4,55}, {3,48}, {14,26}, {1,45}, {10,50}, {2,21}, {18,28}, {2,22}, {11,47}, {15,29}, {18,52}, {3,56}, {8,58}, {12,36}, {3,45}, {2,53}, {12,44}, {2,37}, {4,42}, {16,50}, {10,41}, {4,25}, {14,30}, {12,33}, {11,19}, {5,47}, {12,58}, {6,54}, {15,55}, {18,49}, {7,51}, {15,47}, {11,31}, {1,53}, {15,48}, {14,24}, {5,51}, {11,41}, {7,22}, {6,26}, {13,35}, {2,50}, {6,41}, {12,34}, {6,28}, {6,42}, {16,23}, {15,51}, {15,21}, {5,49}, {13,54}, {11,28}, {10,24}, {14,42}, {5,55}, {11,20}, {10,34}, {16,33}, {3,40}, {17,27}, {2,40}, {8,54}, {9,45}, {18,50}, {4,26}, {12,57}, {16,39}, {13,28}, {1,28}, {16,24}, {3,27}, {7,20}, {9,27}, {7,38}, {2,38}, {15,31}, {7,44}, {7,43}, {9,40}, {11,55}, {1,27}, {5,44}, {5,25}, {12,54}, {17,23}, {10,23}, {9,53}, {9,43}, {14,53}, {1,46}, {3,37}, {14,22}, {5,36}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {13,52}, {17,43}, {6,50}, {14,48}, {1,37}, {2,42}, {18,42}, {4,48}, {16,32}, {2,32}, {6,33}, {18,34}, {17,49}, {9,48}, {5,33}, {2,58}, {4,56}, {10,49}, {9,37} }; // ETB58.9 // Bipartite(18,40) Valencies [20,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 177488888539234959360 EdgesBipt[58][9]:={ {13,21}, {7,48}, {6,38}, {10,37}, {16,47}, {14,36}, {5,38}, {5,22}, {11,25}, {2,55}, {5,45}, {3,26}, {8,26}, {1,49}, {13,39}, {17,42}, {15,44}, {14,50}, {15,54}, {2,35}, {8,40}, {5,57}, {3,35}, {10,33}, {3,19}, {11,57}, {1,19}, {14,56}, {8,23}, {10,39}, {1,21}, {14,45}, {3,21}, {6,48}, {3,39}, {16,37}, {15,56}, {5,32}, {15,41}, {4,37}, {4,40}, {2,46}, {6,56}, {13,43}, {6,58}, {2,33}, {17,35}, {3,49}, {11,35}, {11,27}, {10,47}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,30}, {16,49}, {12,46}, {8,46}, {12,20}, {8,52}, {12,38}, {7,41}, {12,26}, {7,33}, {12,31}, {12,40}, {10,20}, {18,58}, {5,37}, {9,56}, {13,42}, {9,35}, {1,29}, {15,19}, {12,37}, {13,51}, {16,34}, {2,56}, {6,46}, {15,45}, {16,43}, {4,23}, {13,58}, {18,57}, {17,47}, {4,49}, {5,34}, {18,47}, {1,38}, {18,46}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {18,26}, {5,54}, {18,36}, {6,51}, {5,27}, {5,28}, {18,56}, {14,46}, {9,46}, {14,35}, {1,42}, {7,32}, {1,31}, {3,31}, {12,27}, {3,51}, {11,22}, {1,39}, {13,49}, {6,27}, {7,53}, {11,42}, {2,30}, {17,57}, {5,35}, {3,36}, {7,19}, {8,56}, {8,50}, {12,56}, {12,47}, {6,36}, {18,51}, {4,53}, {16,29}, {13,48}, {3,55}, {9,51}, {10,57}, {16,57}, {3,24}, {14,33}, {14,23}, {15,34}, {9,55}, {17,58}, {11,48}, {9,26}, {18,20}, {17,54}, {18,38}, {8,45}, {11,58}, {11,52}, {3,29}, {1,41}, {2,23}, {1,51}, {13,53}, {9,54}, {10,19}, {12,41}, {9,19}, {4,47}, {3,44}, {11,44}, {3,25}, {11,34}, {17,55}, {17,28}, {2,43}, {5,52}, {12,30}, {6,30}, {4,33}, {1,22}, {11,24}, {4,57}, {9,31}, {10,44}, {10,29}, {7,58}, {13,22}, {2,20}, {13,31}, {8,53}, {7,28}, {17,44}, {13,29}, {14,52}, {9,25}, {15,46}, {10,30}, {4,50}, {7,23}, {16,30}, {4,34}, {15,35}, {17,38}, {6,31}, {11,32}, {15,24}, {17,52}, {11,54}, {14,43}, {13,38}, {15,49}, {10,54}, {18,31}, {14,40}, {1,48}, {7,49}, {9,41}, {7,39}, {3,41}, {15,39}, {4,29}, {9,44}, {1,32}, {7,52}, {6,37}, {8,32}, {6,57}, {9,24}, {17,22}, {17,25}, {6,20}, {16,44}, {4,44}, {12,50}, {2,26}, {18,41}, {10,40}, {14,55}, {18,21}, {9,21}, {7,29}, {18,30}, {7,21}, {8,36}, {2,45}, {6,47}, {13,32}, {14,26}, {10,50}, {3,34}, {16,53}, {4,27}, {18,28}, {5,24}, {2,22}, {11,47}, {15,29}, {16,20}, {8,43}, {3,56}, {11,45}, {1,33}, {18,27}, {5,58}, {3,54}, {12,36}, {3,45}, {16,27}, {2,53}, {16,50}, {14,30}, {7,31}, {8,33}, {5,47}, {12,58}, {17,34}, {15,55}, {7,51}, {1,53}, {7,22}, {6,26}, {7,42}, {2,50}, {6,41}, {10,53}, {17,24}, {6,28}, {16,23}, {13,33}, {15,51}, {14,20}, {14,25}, {15,21}, {11,37}, {11,28}, {1,23}, {8,55}, {10,24}, {14,42}, {5,55}, {10,27}, {10,34}, {16,33}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {17,45}, {9,45}, {18,50}, {12,57}, {16,54}, {16,39}, {17,37}, {13,28}, {1,28}, {16,24}, {7,38}, {5,42}, {15,36}, {10,43}, {15,31}, {9,49}, {7,43}, {18,40}, {11,55}, {4,20}, {8,20}, {5,44}, {5,25}, {10,23}, {15,26}, {14,53}, {4,19}, {14,22}, {16,19}, {9,34}, {4,39}, {17,32}, {13,52}, {6,50}, {1,58}, {8,25}, {2,42}, {2,32}, {12,21}, {12,51}, {18,48}, {3,46}, {5,48}, {17,48}, {15,25}, {18,37}, {4,54}, {11,38}, {10,49}, {6,40} }; // ETB58.10 // Bipartite(18,40) Valencies [20,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 35224100536320 EdgesBipt[58][10]:={ {6,52}, {15,33}, {16,47}, {15,38}, {8,57}, {14,36}, {5,38}, {5,56}, {16,51}, {4,28}, {3,58}, {12,22}, {13,37}, {1,40}, {14,38}, {13,39}, {15,44}, {14,50}, {17,33}, {4,31}, {8,40}, {3,35}, {8,21}, {3,19}, {15,27}, {16,55}, {1,19}, {11,53}, {2,49}, {14,56}, {3,23}, {17,56}, {8,23}, {6,48}, {3,39}, {16,28}, {5,32}, {4,51}, {4,40}, {13,43}, {14,57}, {14,29}, {10,48}, {16,21}, {13,40}, {6,32}, {17,35}, {11,35}, {6,29}, {1,20}, {10,47}, {12,28}, {12,48}, {1,52}, {16,48}, {18,32}, {8,30}, {16,49}, {9,33}, {7,45}, {8,37}, {5,41}, {12,42}, {6,39}, {6,49}, {10,26}, {7,33}, {12,31}, {10,20}, {17,26}, {13,20}, {16,25}, {9,35}, {1,36}, {15,19}, {12,37}, {16,34}, {2,56}, {7,56}, {10,35}, {15,45}, {6,44}, {18,39}, {8,38}, {18,57}, {13,26}, {9,47}, {12,52}, {4,49}, {5,50}, {6,24}, {17,36}, {2,29}, {13,19}, {1,26}, {2,36}, {8,49}, {16,40}, {10,51}, {8,22}, {18,29}, {6,34}, {1,43}, {12,49}, {9,39}, {8,42}, {7,54}, {6,51}, {3,38}, {3,43}, {5,28}, {3,47}, {7,32}, {12,24}, {3,31}, {3,51}, {1,39}, {7,37}, {7,53}, {5,53}, {2,30}, {9,58}, {5,35}, {4,21}, {18,19}, {7,19}, {8,56}, {8,50}, {11,21}, {18,51}, {16,29}, {11,36}, {3,55}, {9,51}, {3,24}, {14,23}, {10,46}, {11,33}, {18,22}, {9,55}, {13,25}, {17,58}, {11,48}, {10,55}, {8,47}, {4,41}, {9,38}, {8,41}, {14,21}, {7,46}, {11,58}, {11,52}, {13,36}, {2,23}, {4,45}, {13,53}, {15,23}, {9,22}, {18,54}, {9,19}, {13,45}, {4,47}, {3,44}, {11,44}, {3,25}, {17,55}, {17,28}, {11,46}, {2,43}, {5,52}, {15,58}, {2,27}, {12,30}, {6,30}, {7,34}, {11,24}, {10,31}, {9,31}, {10,29}, {17,46}, {15,53}, {13,56}, {1,25}, {6,19}, {2,20}, {14,27}, {18,44}, {16,41}, {17,44}, {9,25}, {17,30}, {7,23}, {6,22}, {4,34}, {10,25}, {15,35}, {17,38}, {12,29}, {1,57}, {6,31}, {11,32}, {15,24}, {17,52}, {16,26}, {3,42}, {14,43}, {3,22}, {13,57}, {14,37}, {10,54}, {18,31}, {14,40}, {16,31}, {16,45}, {7,39}, {15,39}, {4,29}, {9,44}, {1,32}, {1,54}, {7,52}, {6,37}, {6,57}, {10,28}, {9,24}, {7,40}, {2,41}, {12,50}, {17,41}, {3,53}, {17,50}, {10,40}, {10,21}, {11,56}, {14,47}, {18,30}, {8,29}, {9,23}, {8,36}, {14,58}, {8,27}, {5,46}, {4,55}, {3,33}, {13,32}, {1,45}, {11,30}, {2,21}, {4,27}, {16,46}, {18,28}, {5,24}, {2,22}, {16,20}, {4,46}, {18,24}, {18,52}, {8,43}, {1,33}, {5,58}, {8,58}, {3,45}, {16,27}, {12,44}, {5,26}, {2,37}, {10,41}, {4,25}, {14,30}, {12,39}, {2,57}, {6,54}, {15,55}, {18,49}, {14,49}, {15,47}, {1,53}, {13,34}, {11,41}, {7,25}, {1,34}, {15,42}, {5,21}, {2,50}, {17,24}, {12,34}, {17,21}, {6,28}, {6,42}, {4,35}, {13,33}, {15,51}, {14,20}, {1,56}, {13,54}, {7,26}, {11,28}, {2,47}, {1,23}, {16,35}, {5,55}, {14,42}, {10,27}, {10,34}, {17,53}, {13,23}, {10,45}, {2,40}, {15,22}, {9,45}, {14,41}, {18,50}, {4,26}, {12,57}, {16,54}, {3,27}, {7,20}, {9,27}, {2,38}, {12,32}, {15,31}, {7,43}, {11,55}, {4,20}, {8,20}, {5,44}, {12,54}, {9,53}, {9,43}, {1,46}, {14,22}, {9,42}, {5,36}, {13,46}, {15,43}, {7,36}, {17,32}, {11,50}, {12,19}, {13,52}, {6,50}, {1,37}, {2,42}, {18,42}, {4,48}, {7,57}, {18,34}, {12,51}, {18,48}, {11,26}, {5,48}, {17,48}, {5,33}, {2,58}, {15,25}, {18,37}, {5,30}, {4,54}, {11,38}, {10,49} }; // ETB58.11 // Bipartite(16,42) Valencies [21,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 672 EdgesBipt[58][11]:={ {13,21}, {6,52}, {11,49}, {14,36}, {6,25}, {5,38}, {16,51}, {2,55}, {1,40}, {13,39}, {15,44}, {11,43}, {15,54}, {2,35}, {8,40}, {5,57}, {16,58}, {3,35}, {10,33}, {8,21}, {11,57}, {14,31}, {1,19}, {2,49}, {14,56}, {8,23}, {3,20}, {3,21}, {15,56}, {4,51}, {7,30}, {15,41}, {8,31}, {4,37}, {6,56}, {6,58}, {16,21}, {14,44}, {6,32}, {4,38}, {11,35}, {10,56}, {11,17}, {6,29}, {9,18}, {10,17}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {16,42}, {2,52}, {16,49}, {1,17}, {7,45}, {8,46}, {12,20}, {5,41}, {12,38}, {13,30}, {7,27}, {4,58}, {11,39}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {2,48}, {15,30}, {13,20}, {16,25}, {9,35}, {1,36}, {6,18}, {1,29}, {15,19}, {12,37}, {13,51}, {16,34}, {2,56}, {6,46}, {15,45}, {6,44}, {4,23}, {13,26}, {9,47}, {12,52}, {4,49}, {5,34}, {13,19}, {3,17}, {8,49}, {16,40}, {10,51}, {8,22}, {9,29}, {9,39}, {8,42}, {9,20}, {6,51}, {1,18}, {5,27}, {15,28}, {8,18}, {4,18}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {11,22}, {1,39}, {7,37}, {13,49}, {2,30}, {11,42}, {5,35}, {15,50}, {8,48}, {7,19}, {4,32}, {2,44}, {16,18}, {8,56}, {8,50}, {14,28}, {12,56}, {11,21}, {6,36}, {16,29}, {11,36}, {3,30}, {1,47}, {10,57}, {2,24}, {11,23}, {16,57}, {10,36}, {14,33}, {2,51}, {15,37}, {14,23}, {10,46}, {10,58}, {13,25}, {10,55}, {8,41}, {9,38}, {3,29}, {1,41}, {2,23}, {13,53}, {9,54}, {9,19}, {4,47}, {13,45}, {11,46}, {2,43}, {2,27}, {1,22}, {7,34}, {10,31}, {7,58}, {15,52}, {13,50}, {6,19}, {2,20}, {5,39}, {8,53}, {14,27}, {7,28}, {6,45}, {12,18}, {13,29}, {9,25}, {10,22}, {5,40}, {10,30}, {4,50}, {12,45}, {6,22}, {15,35}, {12,29}, {1,57}, {11,32}, {15,24}, {12,25}, {11,54}, {10,52}, {14,43}, {3,22}, {13,57}, {14,37}, {13,38}, {14,40}, {9,41}, {16,31}, {15,17}, {7,39}, {3,41}, {4,36}, {1,32}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {7,24}, {10,28}, {9,24}, {5,31}, {4,44}, {5,23}, {5,20}, {3,53}, {2,26}, {14,55}, {10,21}, {14,47}, {8,29}, {8,36}, {14,58}, {4,55}, {3,48}, {3,33}, {16,36}, {13,32}, {1,45}, {11,30}, {3,34}, {2,21}, {16,53}, {4,27}, {7,55}, {16,46}, {5,24}, {11,47}, {8,43}, {3,56}, {2,31}, {16,38}, {1,33}, {3,54}, {3,45}, {16,27}, {2,53}, {12,44}, {7,47}, {4,42}, {12,53}, {4,25}, {3,28}, {12,33}, {11,19}, {5,47}, {12,58}, {3,57}, {6,54}, {15,55}, {7,51}, {15,47}, {15,48}, {14,24}, {13,34}, {11,41}, {9,50}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {2,50}, {10,53}, {12,34}, {8,44}, {6,28}, {16,23}, {5,49}, {13,54}, {7,26}, {5,55}, {14,42}, {10,27}, {5,17}, {16,33}, {3,40}, {7,17}, {8,35}, {8,54}, {15,22}, {9,45}, {14,41}, {4,26}, {15,20}, {16,39}, {1,28}, {7,20}, {7,38}, {5,42}, {2,38}, {10,43}, {6,53}, {9,49}, {9,40}, {11,55}, {10,23}, {15,26}, {1,46}, {4,19}, {14,22}, {9,42}, {14,17}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {11,50}, {13,52}, {6,50}, {14,48}, {1,37}, {1,58}, {8,25}, {16,32}, {7,57}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {5,30}, {9,37} }; // ETB58.12 // Bipartite(16,42) Valencies [21,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 130508689048452835835904000000 EdgesBipt[58][12]:={ {15,33}, {7,48}, {6,38}, {8,57}, {11,49}, {14,36}, {5,22}, {10,18}, {9,17}, {16,51}, {11,25}, {4,28}, {5,43}, {8,51}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {11,43}, {14,50}, {15,54}, {2,35}, {8,40}, {16,58}, {8,21}, {3,19}, {11,57}, {15,27}, {1,19}, {14,56}, {2,18}, {3,21}, {6,48}, {3,39}, {16,28}, {1,35}, {4,51}, {7,30}, {4,40}, {6,56}, {13,43}, {14,29}, {10,48}, {16,21}, {13,40}, {14,44}, {6,32}, {4,38}, {3,49}, {10,56}, {15,57}, {10,42}, {6,29}, {11,27}, {3,18}, {10,47}, {10,17}, {12,28}, {1,52}, {12,46}, {1,17}, {7,45}, {8,46}, {12,20}, {5,41}, {8,52}, {12,38}, {12,26}, {7,27}, {4,58}, {11,39}, {10,26}, {2,17}, {7,33}, {12,40}, {10,20}, {13,47}, {2,48}, {15,30}, {5,37}, {13,55}, {9,35}, {6,18}, {1,29}, {15,19}, {16,34}, {2,56}, {10,35}, {15,45}, {6,44}, {13,58}, {11,18}, {8,38}, {9,47}, {12,52}, {6,24}, {2,29}, {5,34}, {13,19}, {14,32}, {2,36}, {13,41}, {16,40}, {8,22}, {1,43}, {9,29}, {11,51}, {4,22}, {7,54}, {3,43}, {6,17}, {5,28}, {9,46}, {14,35}, {1,31}, {3,31}, {12,27}, {3,51}, {7,37}, {13,49}, {2,30}, {5,53}, {11,42}, {9,58}, {5,35}, {3,36}, {4,21}, {13,17}, {14,54}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {12,56}, {11,21}, {6,36}, {1,55}, {11,36}, {3,30}, {3,55}, {1,47}, {2,24}, {16,57}, {3,24}, {10,36}, {15,37}, {10,38}, {14,23}, {11,33}, {9,55}, {13,25}, {11,48}, {8,45}, {1,41}, {2,23}, {4,45}, {13,53}, {9,22}, {9,19}, {3,25}, {16,56}, {5,52}, {6,30}, {4,33}, {1,22}, {11,24}, {4,57}, {9,31}, {5,19}, {10,44}, {10,29}, {13,22}, {1,25}, {2,20}, {13,31}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {4,50}, {12,45}, {4,34}, {15,24}, {9,52}, {11,54}, {16,26}, {3,42}, {15,49}, {10,54}, {7,49}, {9,41}, {6,23}, {16,45}, {7,39}, {15,39}, {8,32}, {7,24}, {5,31}, {6,20}, {16,44}, {4,44}, {2,54}, {2,41}, {12,50}, {5,23}, {2,26}, {14,47}, {9,23}, {7,21}, {8,27}, {5,46}, {6,47}, {3,48}, {3,33}, {14,26}, {10,50}, {11,30}, {9,28}, {4,27}, {7,55}, {16,46}, {16,20}, {4,46}, {16,38}, {11,45}, {5,58}, {3,54}, {8,58}, {3,45}, {16,27}, {2,53}, {12,44}, {5,29}, {16,50}, {10,41}, {14,30}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {12,58}, {5,47}, {3,57}, {6,54}, {15,55}, {7,51}, {11,31}, {1,53}, {15,48}, {14,24}, {13,34}, {7,25}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {7,42}, {2,50}, {6,41}, {10,53}, {12,34}, {8,44}, {6,42}, {15,51}, {14,20}, {15,21}, {5,49}, {7,18}, {11,37}, {2,47}, {1,23}, {10,24}, {5,55}, {14,42}, {15,18}, {5,17}, {16,33}, {13,23}, {14,41}, {4,26}, {12,57}, {16,39}, {13,28}, {1,28}, {16,52}, {3,27}, {2,38}, {12,32}, {15,36}, {15,31}, {6,53}, {8,28}, {9,49}, {7,43}, {9,40}, {11,55}, {4,20}, {8,20}, {5,25}, {10,23}, {9,53}, {4,52}, {9,43}, {14,53}, {1,46}, {3,37}, {8,39}, {14,17}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {6,35}, {13,52}, {6,50}, {14,48}, {1,37}, {1,58}, {2,42}, {16,32}, {7,57}, {2,32}, {12,21}, {12,51}, {15,25}, {4,56}, {9,37} }; // ETB58.13 // Bipartite(16,42) Valencies [21,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 201402297914279067648000000 EdgesBipt[58][13]:={ {13,21}, {15,33}, {6,38}, {15,38}, {11,49}, {14,36}, {6,25}, {5,38}, {9,17}, {5,56}, {11,25}, {4,28}, {5,43}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {14,38}, {16,22}, {13,39}, {15,44}, {11,43}, {14,50}, {2,35}, {8,40}, {5,57}, {16,58}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {1,19}, {11,53}, {14,56}, {3,23}, {10,39}, {1,21}, {6,48}, {15,56}, {16,28}, {5,32}, {1,35}, {4,40}, {2,46}, {6,56}, {13,43}, {13,27}, {14,44}, {2,33}, {6,32}, {3,49}, {11,35}, {11,29}, {15,57}, {11,17}, {3,18}, {10,47}, {2,34}, {10,17}, {12,28}, {12,48}, {4,24}, {16,42}, {16,48}, {2,52}, {15,32}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {7,45}, {8,46}, {9,57}, {8,52}, {7,27}, {4,58}, {12,42}, {6,49}, {2,17}, {7,33}, {12,40}, {12,23}, {5,37}, {13,20}, {13,55}, {9,35}, {6,18}, {1,29}, {13,51}, {16,34}, {7,56}, {10,35}, {15,45}, {6,44}, {4,23}, {11,18}, {8,38}, {13,26}, {9,47}, {5,50}, {12,52}, {6,24}, {2,29}, {13,19}, {14,32}, {3,17}, {16,40}, {10,51}, {8,22}, {1,43}, {9,29}, {9,39}, {8,42}, {4,22}, {5,27}, {3,43}, {15,28}, {2,39}, {4,18}, {8,18}, {3,47}, {7,32}, {12,24}, {1,31}, {3,31}, {1,39}, {13,49}, {11,42}, {3,36}, {15,50}, {8,48}, {14,54}, {16,18}, {8,56}, {8,50}, {12,47}, {6,36}, {1,55}, {4,53}, {11,36}, {3,30}, {3,55}, {9,51}, {1,47}, {10,57}, {11,23}, {3,24}, {2,51}, {10,46}, {10,58}, {15,34}, {9,55}, {13,25}, {11,48}, {8,24}, {4,41}, {7,46}, {3,29}, {12,17}, {1,41}, {2,23}, {1,51}, {12,41}, {9,19}, {4,47}, {13,45}, {3,25}, {16,56}, {15,58}, {2,27}, {12,30}, {6,30}, {7,50}, {7,34}, {11,24}, {5,19}, {9,31}, {10,29}, {7,58}, {15,52}, {13,56}, {1,25}, {13,50}, {6,19}, {4,17}, {13,31}, {5,39}, {7,28}, {12,18}, {8,34}, {9,25}, {15,46}, {10,22}, {16,30}, {4,34}, {12,29}, {1,57}, {6,31}, {11,54}, {16,26}, {10,52}, {3,42}, {14,43}, {15,40}, {13,57}, {14,37}, {13,38}, {9,41}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {7,52}, {6,43}, {6,37}, {8,32}, {10,28}, {5,31}, {6,20}, {16,44}, {7,40}, {2,41}, {5,20}, {3,53}, {10,40}, {14,55}, {10,21}, {9,21}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {2,45}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {11,30}, {2,21}, {16,46}, {2,22}, {11,47}, {16,20}, {4,46}, {14,19}, {16,38}, {1,33}, {3,54}, {8,58}, {12,36}, {2,53}, {5,26}, {4,42}, {16,50}, {12,53}, {10,41}, {14,30}, {11,19}, {12,58}, {2,57}, {6,54}, {7,51}, {14,49}, {11,31}, {1,53}, {14,24}, {5,51}, {11,41}, {7,22}, {6,26}, {14,18}, {5,21}, {10,53}, {12,34}, {8,44}, {6,42}, {4,35}, {13,33}, {15,51}, {14,20}, {14,25}, {15,21}, {5,49}, {7,26}, {11,37}, {2,47}, {1,23}, {5,55}, {14,42}, {10,27}, {10,34}, {10,45}, {2,40}, {8,54}, {15,22}, {9,45}, {16,54}, {15,20}, {16,24}, {16,52}, {7,20}, {9,27}, {7,38}, {6,55}, {7,44}, {8,28}, {9,49}, {11,55}, {8,20}, {1,27}, {5,44}, {5,25}, {12,54}, {10,23}, {9,53}, {4,52}, {15,26}, {9,43}, {3,37}, {12,35}, {6,50}, {14,48}, {1,37}, {4,48}, {16,32}, {7,57}, {5,33}, {2,58}, {4,54}, {9,37} }; // ETB58.14 // Bipartite(16,42) Valencies [21,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26962287755526144 EdgesBipt[58][14]:={ {6,52}, {15,33}, {6,38}, {11,40}, {10,37}, {15,38}, {11,49}, {6,25}, {5,22}, {9,17}, {4,28}, {3,58}, {5,45}, {3,26}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {13,39}, {8,40}, {16,58}, {3,35}, {10,33}, {3,19}, {14,31}, {15,27}, {14,56}, {3,23}, {1,21}, {3,21}, {14,45}, {16,28}, {1,35}, {4,51}, {15,41}, {4,37}, {6,56}, {6,58}, {13,27}, {14,44}, {2,33}, {3,49}, {11,35}, {10,56}, {15,57}, {10,42}, {11,27}, {1,20}, {3,18}, {10,47}, {10,17}, {12,28}, {12,48}, {4,43}, {16,42}, {1,52}, {16,48}, {15,32}, {8,30}, {12,46}, {1,17}, {8,46}, {9,57}, {12,20}, {5,41}, {8,52}, {7,41}, {13,30}, {7,27}, {12,42}, {6,39}, {6,49}, {10,26}, {2,17}, {7,33}, {1,24}, {12,23}, {5,37}, {13,20}, {13,55}, {9,35}, {1,29}, {15,19}, {12,37}, {13,51}, {16,34}, {2,56}, {6,44}, {4,23}, {13,58}, {11,18}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {2,36}, {13,41}, {16,40}, {10,51}, {8,22}, {1,43}, {9,29}, {11,51}, {12,49}, {8,42}, {9,20}, {5,27}, {6,17}, {8,18}, {4,18}, {3,47}, {14,35}, {7,32}, {1,31}, {3,51}, {7,53}, {5,53}, {15,50}, {4,21}, {8,48}, {13,17}, {7,19}, {4,32}, {16,18}, {8,56}, {8,50}, {14,28}, {12,56}, {11,21}, {1,55}, {4,53}, {3,30}, {3,55}, {13,48}, {10,57}, {11,23}, {10,36}, {14,33}, {2,51}, {11,33}, {9,55}, {13,25}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {7,46}, {11,58}, {13,36}, {1,41}, {2,23}, {13,53}, {9,54}, {10,19}, {11,44}, {13,45}, {3,44}, {11,46}, {16,56}, {2,43}, {6,30}, {7,50}, {10,31}, {9,31}, {4,57}, {10,29}, {15,52}, {13,22}, {15,53}, {13,50}, {6,19}, {13,31}, {5,39}, {3,32}, {6,45}, {12,18}, {8,34}, {14,52}, {15,46}, {10,22}, {16,30}, {4,34}, {12,29}, {1,57}, {6,31}, {11,32}, {15,24}, {9,52}, {12,25}, {11,54}, {16,26}, {10,54}, {1,48}, {9,41}, {7,39}, {3,41}, {15,39}, {4,29}, {1,54}, {7,52}, {8,32}, {7,24}, {10,28}, {9,24}, {5,31}, {2,19}, {16,44}, {2,54}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {14,47}, {2,28}, {8,36}, {13,44}, {14,58}, {2,45}, {6,47}, {3,33}, {16,36}, {1,45}, {10,50}, {11,30}, {7,55}, {16,46}, {2,22}, {11,47}, {15,29}, {16,20}, {4,46}, {2,31}, {14,19}, {16,38}, {5,58}, {3,54}, {8,58}, {7,47}, {2,37}, {4,42}, {16,50}, {12,53}, {4,25}, {14,30}, {11,19}, {12,39}, {2,57}, {15,55}, {14,49}, {15,47}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {2,50}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {14,25}, {7,18}, {11,37}, {2,47}, {5,55}, {14,42}, {15,18}, {5,17}, {3,40}, {13,23}, {10,45}, {2,40}, {8,54}, {6,21}, {15,22}, {9,45}, {12,57}, {16,54}, {16,24}, {16,52}, {3,27}, {9,27}, {7,38}, {12,32}, {15,36}, {10,43}, {6,53}, {8,28}, {9,49}, {7,43}, {9,40}, {11,55}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,43}, {14,53}, {3,37}, {14,17}, {5,36}, {9,34}, {15,43}, {4,39}, {12,35}, {7,36}, {6,35}, {2,42}, {4,48}, {16,32}, {7,57}, {6,33}, {12,21}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {15,25}, {4,56}, {5,30} }; // ETB58.15 // Bipartite(16,42) Valencies [21,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 210642873090048 EdgesBipt[58][15]:={ {6,52}, {15,33}, {7,48}, {6,38}, {16,47}, {15,38}, {8,57}, {11,49}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {9,17}, {5,56}, {11,25}, {3,26}, {8,26}, {1,49}, {14,38}, {16,22}, {13,39}, {15,44}, {14,50}, {2,35}, {8,40}, {16,58}, {3,35}, {8,21}, {15,27}, {16,55}, {1,19}, {11,53}, {2,49}, {14,56}, {3,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {15,56}, {1,35}, {4,51}, {15,41}, {4,37}, {4,40}, {2,46}, {6,56}, {13,43}, {16,21}, {14,44}, {2,33}, {4,38}, {3,49}, {11,35}, {10,56}, {15,57}, {10,42}, {6,29}, {2,34}, {10,17}, {9,18}, {12,48}, {4,24}, {2,52}, {15,32}, {8,30}, {16,49}, {12,46}, {1,17}, {7,45}, {9,57}, {12,20}, {5,41}, {8,52}, {12,26}, {13,30}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {12,40}, {13,47}, {2,48}, {15,30}, {5,37}, {13,20}, {9,56}, {13,42}, {1,29}, {15,19}, {7,56}, {4,23}, {13,58}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {13,19}, {14,32}, {3,17}, {8,49}, {6,34}, {1,43}, {9,29}, {12,49}, {4,22}, {6,51}, {5,27}, {15,28}, {5,28}, {14,46}, {4,18}, {9,46}, {7,32}, {1,31}, {3,31}, {3,51}, {11,22}, {1,39}, {7,37}, {5,53}, {14,34}, {3,36}, {4,21}, {13,17}, {14,54}, {7,19}, {4,32}, {16,18}, {14,28}, {11,21}, {1,55}, {11,36}, {13,48}, {16,17}, {9,51}, {1,47}, {2,24}, {10,36}, {2,51}, {10,58}, {11,33}, {9,55}, {13,25}, {11,48}, {10,55}, {8,24}, {4,41}, {8,41}, {9,26}, {7,46}, {11,58}, {11,52}, {12,17}, {1,41}, {2,23}, {1,51}, {13,53}, {9,54}, {11,44}, {13,45}, {3,25}, {11,34}, {2,43}, {5,52}, {15,58}, {12,30}, {7,50}, {7,34}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {15,52}, {13,56}, {1,25}, {2,20}, {13,31}, {5,39}, {8,53}, {16,41}, {7,28}, {12,18}, {13,29}, {14,52}, {15,46}, {10,22}, {10,30}, {4,50}, {7,23}, {16,30}, {12,45}, {10,25}, {12,29}, {1,57}, {15,24}, {3,22}, {13,57}, {10,54}, {14,40}, {9,41}, {6,23}, {16,31}, {16,45}, {4,36}, {6,43}, {6,37}, {6,57}, {10,28}, {2,19}, {6,20}, {16,44}, {5,23}, {12,43}, {3,53}, {10,40}, {8,29}, {9,23}, {13,44}, {14,58}, {8,27}, {4,55}, {3,48}, {16,36}, {14,26}, {1,45}, {10,50}, {11,30}, {3,50}, {9,28}, {3,34}, {2,21}, {4,27}, {16,46}, {5,24}, {11,47}, {15,29}, {4,46}, {8,43}, {1,33}, {3,54}, {8,58}, {3,45}, {16,27}, {12,44}, {7,47}, {2,37}, {16,50}, {10,41}, {14,30}, {7,31}, {11,19}, {5,47}, {12,58}, {2,57}, {6,54}, {15,55}, {7,51}, {15,47}, {1,53}, {14,24}, {5,51}, {13,34}, {7,22}, {6,26}, {15,42}, {14,18}, {7,42}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,33}, {14,20}, {7,18}, {2,47}, {1,23}, {8,55}, {16,35}, {11,20}, {5,55}, {14,42}, {10,27}, {15,18}, {16,33}, {3,40}, {7,17}, {10,45}, {8,35}, {8,54}, {9,45}, {4,26}, {12,57}, {13,28}, {7,20}, {9,27}, {5,42}, {2,38}, {12,32}, {6,53}, {9,40}, {1,27}, {5,25}, {12,54}, {4,52}, {9,43}, {3,37}, {14,22}, {8,39}, {9,42}, {5,36}, {16,19}, {15,43}, {12,35}, {7,36}, {11,50}, {14,48}, {1,37}, {8,25}, {16,32}, {2,32}, {12,21}, {5,33}, {4,54}, {11,38}, {9,37}, {6,40} }; // ETB58.16 // Bipartite(16,42) Valencies [21,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 86016 EdgesBipt[58][16]:={ {13,21}, {6,52}, {15,33}, {7,48}, {16,47}, {15,38}, {8,57}, {14,36}, {9,17}, {10,18}, {16,51}, {4,28}, {5,43}, {2,55}, {3,58}, {8,51}, {5,45}, {12,22}, {3,26}, {8,26}, {1,49}, {1,40}, {13,39}, {15,44}, {4,31}, {3,35}, {10,33}, {16,55}, {11,53}, {2,49}, {14,56}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {3,21}, {6,48}, {16,37}, {15,56}, {16,28}, {5,32}, {1,35}, {7,30}, {8,31}, {4,40}, {13,43}, {6,56}, {14,57}, {14,29}, {10,48}, {2,33}, {4,38}, {11,35}, {11,17}, {10,42}, {6,29}, {11,27}, {3,18}, {10,17}, {12,28}, {16,42}, {2,52}, {15,32}, {9,33}, {1,17}, {8,37}, {5,41}, {12,38}, {4,58}, {6,39}, {6,49}, {2,17}, {7,33}, {12,31}, {3,52}, {12,40}, {10,20}, {13,24}, {2,48}, {15,30}, {9,56}, {9,35}, {15,19}, {16,34}, {6,46}, {7,56}, {16,43}, {13,58}, {11,18}, {8,38}, {13,26}, {5,34}, {1,26}, {3,17}, {13,41}, {10,51}, {6,34}, {8,42}, {4,22}, {5,54}, {5,28}, {14,46}, {2,39}, {9,46}, {4,18}, {3,47}, {14,35}, {1,42}, {7,32}, {12,27}, {7,37}, {13,49}, {14,34}, {3,36}, {15,50}, {4,21}, {14,54}, {7,19}, {1,30}, {8,56}, {8,50}, {14,28}, {11,21}, {12,47}, {6,36}, {1,55}, {4,53}, {11,36}, {3,30}, {3,55}, {9,51}, {10,57}, {11,23}, {16,57}, {3,24}, {2,51}, {15,37}, {10,38}, {10,58}, {9,55}, {13,25}, {14,39}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,26}, {8,45}, {11,58}, {11,52}, {1,41}, {2,23}, {4,45}, {1,51}, {10,19}, {12,41}, {9,22}, {11,44}, {13,45}, {4,47}, {3,44}, {11,46}, {16,56}, {5,52}, {6,30}, {7,50}, {1,22}, {11,24}, {10,31}, {4,57}, {1,25}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {12,18}, {13,29}, {8,34}, {14,52}, {9,25}, {4,50}, {12,45}, {6,22}, {12,29}, {15,24}, {12,25}, {11,54}, {16,26}, {10,52}, {14,43}, {14,37}, {1,44}, {14,40}, {9,41}, {16,31}, {16,45}, {15,17}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {6,43}, {6,37}, {8,32}, {7,24}, {6,57}, {5,31}, {2,19}, {6,20}, {2,41}, {12,50}, {5,23}, {3,53}, {10,40}, {7,29}, {7,21}, {8,36}, {13,44}, {8,27}, {5,46}, {3,48}, {16,36}, {13,32}, {1,45}, {11,30}, {4,27}, {5,24}, {11,47}, {15,29}, {16,20}, {8,43}, {2,31}, {14,19}, {16,38}, {1,33}, {5,58}, {3,54}, {12,36}, {16,27}, {2,53}, {5,26}, {7,47}, {5,29}, {16,50}, {12,53}, {10,41}, {4,25}, {14,30}, {12,58}, {2,57}, {6,54}, {7,51}, {14,49}, {15,47}, {1,53}, {15,48}, {13,34}, {7,25}, {9,50}, {7,22}, {1,34}, {5,21}, {10,53}, {6,28}, {6,42}, {16,23}, {4,35}, {13,33}, {15,51}, {14,20}, {15,21}, {5,49}, {1,56}, {13,54}, {1,50}, {7,18}, {11,37}, {8,55}, {11,20}, {14,42}, {15,18}, {7,17}, {13,23}, {2,40}, {15,22}, {9,45}, {12,57}, {13,28}, {16,24}, {3,27}, {9,27}, {7,38}, {2,38}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {11,55}, {8,20}, {1,27}, {5,44}, {5,25}, {12,54}, {10,23}, {9,53}, {1,46}, {4,19}, {3,37}, {14,22}, {9,42}, {9,34}, {10,32}, {13,46}, {15,43}, {12,35}, {6,35}, {12,19}, {13,52}, {14,48}, {2,42}, {16,32}, {2,32}, {12,21}, {11,26}, {3,46}, {5,33}, {2,58}, {15,25}, {4,54}, {10,49}, {6,40} }; // ETB58.17 // Bipartite(10,48) Valencies [24,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 257794941330277206589440000000 EdgesBipt[58][17]:={ {2,44}, {8,48}, {1,11}, {9,58}, {2,24}, {1,20}, {5,17}, {9,28}, {6,32}, {4,27}, {2,46}, {7,15}, {4,24}, {8,12}, {3,22}, {2,56}, {3,40}, {4,53}, {1,56}, {4,30}, {8,30}, {7,48}, {1,13}, {8,43}, {5,38}, {9,45}, {7,55}, {8,42}, {8,54}, {8,28}, {4,29}, {1,32}, {3,13}, {3,43}, {3,25}, {10,23}, {7,54}, {5,56}, {9,44}, {8,52}, {1,19}, {10,33}, {3,58}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {7,51}, {7,36}, {3,52}, {8,25}, {2,28}, {2,14}, {5,32}, {4,23}, {8,31}, {2,54}, {2,42}, {10,15}, {10,22}, {10,53}, {3,17}, {8,16}, {6,21}, {3,34}, {7,12}, {3,46}, {6,31}, {1,38}, {2,34}, {1,17}, {2,36}, {1,50}, {3,49}, {7,57}, {8,19}, {10,47}, {1,55}, {9,32}, {5,50}, {9,26}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,52}, {10,52}, {4,42}, {7,39}, {1,31}, {10,41}, {4,45}, {7,49}, {7,13}, {9,14}, {7,25}, {7,43}, {10,28}, {6,55}, {4,47}, {6,43}, {4,33}, {5,23}, {4,21}, {10,29}, {9,34}, {6,49}, {10,21}, {2,20}, {2,48}, {9,50}, {10,40}, {1,29}, {7,30}, {2,16}, {4,35}, {2,32}, {6,33}, {8,36}, {5,18}, {4,57}, {6,50}, {1,23}, {5,30}, {6,44}, {9,56}, {5,24}, {4,48}, {8,13}, {8,22}, {5,48}, {6,56}, {5,14}, {9,20}, {4,15}, {3,11}, {9,51}, {4,54}, {10,46}, {10,45}, {3,29}, {1,43}, {8,37}, {10,51}, {5,42}, {9,22}, {7,31}, {6,15}, {10,58}, {5,41}, {4,36}, {6,51}, {5,12}, {9,40}, {5,54}, {3,19}, {9,57}, {6,27}, {8,58}, {1,49}, {5,44}, {6,26}, {8,40}, {3,23}, {5,36}, {1,25}, {6,19}, {1,53}, {6,14}, {10,11}, {10,39}, {1,35}, {1,37}, {3,16}, {3,53}, {10,35}, {8,34}, {10,17}, {4,51}, {6,45}, {10,27}, {1,26}, {2,22}, {10,34}, {8,24}, {6,25}, {1,47}, {6,38}, {2,40}, {9,33}, {3,55}, {8,49}, {8,55}, {5,26}, {2,58}, {8,18}, {4,18}, {10,57}, {9,39}, {9,38}, {4,11}, {4,12}, {9,52}, {3,28}, {7,27}, {7,45}, {8,46}, {1,41}, {3,41}, {7,24}, {3,31}, {2,12}, {1,14}, {9,46}, {6,39}, {7,33}, {6,37}, {3,47}, {6,20}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {2,18}, {7,19}, {4,17}, {9,16}, {9,21}, {4,39}, {7,42}, {7,21}, {6,57}, {5,53}, {2,50}, {7,18}, {10,16} }; // ETB58.18 // Bipartite(10,48) Valencies [24,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5416531022315520 EdgesBipt[58][18]:={ {6,48}, {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {10,25}, {9,28}, {2,33}, {6,16}, {6,32}, {7,15}, {5,34}, {4,26}, {2,56}, {4,53}, {1,56}, {4,30}, {6,17}, {1,13}, {7,55}, {8,42}, {8,54}, {4,29}, {1,57}, {9,55}, {3,45}, {3,13}, {1,27}, {3,43}, {3,15}, {10,23}, {1,40}, {10,26}, {5,56}, {9,44}, {4,31}, {8,52}, {10,33}, {3,35}, {5,47}, {5,20}, {9,43}, {7,34}, {8,39}, {7,51}, {7,36}, {8,25}, {10,44}, {2,41}, {2,28}, {1,30}, {5,32}, {9,35}, {2,54}, {9,11}, {10,22}, {6,22}, {7,58}, {10,30}, {3,17}, {2,45}, {6,47}, {6,21}, {2,25}, {5,40}, {3,46}, {6,31}, {9,48}, {3,49}, {10,38}, {6,58}, {7,20}, {3,14}, {7,11}, {1,55}, {9,32}, {5,50}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {8,41}, {2,38}, {9,19}, {2,37}, {5,43}, {7,46}, {4,42}, {7,39}, {10,54}, {3,12}, {10,41}, {4,45}, {2,53}, {7,43}, {10,28}, {3,44}, {4,47}, {4,33}, {4,21}, {9,54}, {9,34}, {6,49}, {3,51}, {2,13}, {2,57}, {6,18}, {2,48}, {4,52}, {9,50}, {1,29}, {7,30}, {7,50}, {2,16}, {3,32}, {2,32}, {1,12}, {6,33}, {7,26}, {8,36}, {5,18}, {4,57}, {6,50}, {1,23}, {9,56}, {5,24}, {8,53}, {1,45}, {8,22}, {5,48}, {8,56}, {10,42}, {4,15}, {4,13}, {1,28}, {3,11}, {7,14}, {3,27}, {9,51}, {10,46}, {10,12}, {3,29}, {1,43}, {4,46}, {8,37}, {8,26}, {10,51}, {1,52}, {9,22}, {7,31}, {6,15}, {10,58}, {2,17}, {4,36}, {10,55}, {8,57}, {6,51}, {7,47}, {9,40}, {8,21}, {3,19}, {1,24}, {5,31}, {8,58}, {6,26}, {8,40}, {8,23}, {1,39}, {5,36}, {1,25}, {6,19}, {9,12}, {1,46}, {4,58}, {6,54}, {10,39}, {3,16}, {4,37}, {6,42}, {10,35}, {7,23}, {2,21}, {3,30}, {8,34}, {9,18}, {10,17}, {2,29}, {8,38}, {2,22}, {4,14}, {3,48}, {8,50}, {8,24}, {10,49}, {6,38}, {4,49}, {2,40}, {6,34}, {5,27}, {8,55}, {8,18}, {10,57}, {9,39}, {9,38}, {4,25}, {10,19}, {4,20}, {5,13}, {3,28}, {8,20}, {7,27}, {1,41}, {5,45}, {3,31}, {2,12}, {1,14}, {9,24}, {5,15}, {6,37}, {3,47}, {10,14}, {7,35}, {5,21}, {6,53}, {7,52}, {5,37}, {7,19}, {4,17}, {6,35}, {9,16}, {7,42}, {9,23}, {5,52}, {1,36}, {5,53}, {2,49}, {7,18}, {5,16} }; // ETB58.19 // Bipartite(10,48) Valencies [24,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4382441692326789120 EdgesBipt[58][19]:={ {6,48}, {2,44}, {1,11}, {5,17}, {10,24}, {9,28}, {2,33}, {6,16}, {6,32}, {7,15}, {5,34}, {3,22}, {2,56}, {4,16}, {4,53}, {4,56}, {8,43}, {5,38}, {2,51}, {9,45}, {7,38}, {4,29}, {1,57}, {3,43}, {7,41}, {1,40}, {7,54}, {2,15}, {2,19}, {9,49}, {1,19}, {2,27}, {3,58}, {3,35}, {2,26}, {1,21}, {7,51}, {8,25}, {10,44}, {9,53}, {2,14}, {1,30}, {9,35}, {4,23}, {8,44}, {8,31}, {9,11}, {10,15}, {10,22}, {10,53}, {3,18}, {2,45}, {6,21}, {3,34}, {2,25}, {3,46}, {10,48}, {6,40}, {6,31}, {9,47}, {5,22}, {4,22}, {7,57}, {8,19}, {9,29}, {1,18}, {3,14}, {1,55}, {5,50}, {5,29}, {4,41}, {2,38}, {8,47}, {2,37}, {10,52}, {8,14}, {7,39}, {9,41}, {2,39}, {1,31}, {3,12}, {10,41}, {7,49}, {7,13}, {7,25}, {10,28}, {5,58}, {6,12}, {6,55}, {4,47}, {6,43}, {9,54}, {10,29}, {2,13}, {9,42}, {2,20}, {2,57}, {4,52}, {10,40}, {7,30}, {7,50}, {7,53}, {4,35}, {9,25}, {2,32}, {1,12}, {6,33}, {7,26}, {5,18}, {1,23}, {6,24}, {5,30}, {6,44}, {7,17}, {8,11}, {5,24}, {9,37}, {5,46}, {1,45}, {8,13}, {8,22}, {5,48}, {6,56}, {8,56}, {8,35}, {5,14}, {1,28}, {4,13}, {3,11}, {7,14}, {3,50}, {10,46}, {4,28}, {1,33}, {10,12}, {1,43}, {3,26}, {4,46}, {8,37}, {8,26}, {10,51}, {5,42}, {1,52}, {6,15}, {10,58}, {5,41}, {6,51}, {9,13}, {5,12}, {9,40}, {5,54}, {8,32}, {1,42}, {3,19}, {1,24}, {9,57}, {6,27}, {8,58}, {3,23}, {8,23}, {10,32}, {5,36}, {6,19}, {4,58}, {5,51}, {7,29}, {6,28}, {9,30}, {10,39}, {1,35}, {5,39}, {4,37}, {4,40}, {6,36}, {2,21}, {3,30}, {8,34}, {9,18}, {10,17}, {3,24}, {6,45}, {8,38}, {10,27}, {4,34}, {1,16}, {10,36}, {3,48}, {8,50}, {10,34}, {9,17}, {1,47}, {4,49}, {2,31}, {9,33}, {3,55}, {5,27}, {8,49}, {8,55}, {5,26}, {3,42}, {6,52}, {10,56}, {4,25}, {3,38}, {4,11}, {9,52}, {4,20}, {8,20}, {7,27}, {7,45}, {8,46}, {1,48}, {3,54}, {3,31}, {10,20}, {6,39}, {5,15}, {2,55}, {7,33}, {3,47}, {6,20}, {7,37}, {1,54}, {2,43}, {4,17}, {3,36}, {9,16}, {9,21}, {4,44}, {7,42}, {9,23}, {7,21}, {4,32}, {6,57}, {1,36}, {5,53}, {2,50}, {2,49}, {7,18}, {10,16} }; // ETB58.20 // Bipartite(6,52) Valencies [26,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36085481721713375974666734560870400000000 EdgesBipt[58][20]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {5,34}, {4,24}, {4,26}, {2,56}, {4,16}, {1,56}, {4,50}, {4,30}, {4,56}, {5,38}, {3,9}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {1,19}, {3,35}, {3,37}, {2,9}, {6,7}, {3,57}, {2,41}, {2,28}, {6,11}, {6,22}, {3,17}, {3,7}, {2,45}, {4,38}, {6,47}, {2,25}, {6,31}, {4,10}, {2,36}, {1,7}, {5,22}, {4,22}, {3,49}, {6,58}, {1,55}, {5,50}, {4,8}, {1,44}, {5,29}, {2,37}, {2,52}, {4,42}, {5,25}, {1,31}, {2,53}, {5,58}, {1,51}, {6,30}, {6,55}, {6,43}, {3,51}, {2,13}, {2,20}, {2,57}, {6,18}, {2,48}, {4,52}, {2,16}, {3,39}, {2,32}, {1,12}, {5,18}, {6,50}, {1,23}, {5,30}, {6,46}, {4,48}, {5,46}, {5,49}, {5,14}, {1,28}, {3,11}, {3,27}, {4,54}, {4,28}, {3,29}, {6,23}, {1,43}, {4,46}, {5,42}, {1,52}, {6,15}, {5,41}, {4,36}, {2,17}, {6,51}, {5,54}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {6,19}, {4,58}, {6,54}, {1,15}, {6,14}, {1,35}, {6,42}, {3,53}, {4,40}, {2,21}, {5,33}, {2,29}, {4,34}, {1,16}, {4,14}, {1,47}, {6,38}, {2,40}, {6,34}, {6,10}, {3,55}, {5,10}, {5,26}, {4,18}, {5,9}, {1,8}, {4,12}, {4,20}, {5,13}, {5,45}, {3,41}, {1,48}, {3,31}, {2,12}, {2,8}, {6,39}, {3,47}, {5,21}, {5,37}, {6,35}, {4,44}, {4,32}, {5,57}, {1,36}, {5,53}, {2,49} }; // ETB58.21 // Bipartite(4,54) Valencies [27,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 54801120566201539578839433216000000 EdgesBipt[58][21]:={ {3,15}, {1,43}, {2,38}, {4,58}, {4,14}, {1,11}, {4,8}, {3,7}, {1,31}, {4,27}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {4,40}, {1,25}, {4,16}, {2,47}, {1,5}, {3,30}, {4,44}, {3,45}, {1,52}, {3,31}, {2,18}, {4,26}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {1,34}, {2,14}, {4,20}, {2,41}, {2,23}, {1,10}, {2,56}, {4,46}, {4,39}, {1,17}, {3,13}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {4,33}, {4,28}, {3,9}, {1,55}, {4,45}, {2,42}, {3,27}, {1,19}, {4,21}, {2,35}, {4,15}, {2,53}, {1,35}, {1,53}, {2,44}, {4,38}, {2,24}, {1,58}, {3,42}, {4,51}, {3,57}, {1,23}, {2,48}, {2,54}, {1,7}, {2,12}, {4,22}, {1,49}, {3,24}, {3,12}, {4,56}, {2,6}, {3,21}, {3,49}, {1,41}, {4,32}, {3,39}, {2,8}, {1,37}, {1,13}, {3,25}, {2,26}, {4,52}, {4,50}, {3,6}, {1,28}, {3,36}, {4,9}, {3,37}, {3,43}, {4,34}, {1,47}, {3,33}, {4,57}, {2,30}, {4,10}, {2,5} }; // ETB58.22 // Bipartite(29,29) Valencies [28,28] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 17683523987479403909087232000000 EdgesBipt[58][22]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {10,31}, {28,38}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {29,46}, {15,49}, {28,43}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {29,53}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {26,56}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {29,36}, {14,43}, {20,34}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {20,49}, {7,54}, {1,30}, {10,50}, {11,35}, {10,52}, {16,39}, {15,31}, {10,45}, {20,33}, {7,48}, {14,56}, {29,42}, {20,32}, {18,40}, {11,33}, {18,44}, {28,46}, {5,47}, {29,51}, {11,32}, {22,43}, {26,48}, {28,37}, {15,55}, {24,41}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {11,31}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {29,54}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {13,35}, {26,53}, {10,40}, {23,48}, {29,37}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {28,54}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {4,40}, {10,55}, {4,55}, {2,37}, {29,48}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {28,42}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {9,42}, {13,50}, {1,37}, {12,40}, {21,47}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {9,48}, {21,58}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {25,58}, {6,56}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {28,34}, {25,38}, {23,56}, {20,37}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {29,41}, {7,40}, {17,56}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {11,37}, {14,55}, {6,30}, {9,35}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {17,32}, {25,46}, {28,35}, {8,42}, {28,50}, {6,57}, {15,57}, {2,57}, {27,40}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {19,58}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {29,56}, {19,40}, {29,31}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {27,58}, {6,45}, {22,49}, {23,30}, {19,55}, {29,34}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {3,58}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {23,50}, {6,34}, {15,56}, {23,35}, {29,33}, {28,41}, {29,35}, {29,32}, {23,32}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {6,32}, {17,35}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {25,51}, {20,54}, {29,57}, {7,49}, {22,58}, {1,56}, {11,36}, {29,30}, {6,52}, {15,42}, {17,30}, {24,37}, {16,49}, {18,46}, {4,39}, {23,31}, {28,40}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {21,42}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {5,38}, {25,42}, {28,44}, {10,36}, {1,54}, {16,30}, {12,34}, {29,52}, {12,31}, {7,32}, {11,39}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {29,45}, {24,43}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {29,50}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,58}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {29,44}, {23,55}, {5,43}, {9,47}, {29,49}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {6,55}, {2,55}, {24,39}, {13,46}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {17,58}, {19,34}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {29,40}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {29,58}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {23,47}, {23,44}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {6,58}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {29,38}, {22,42}, {1,46}, {27,52}, {8,51}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {28,58}, {27,36}, {19,52}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB58.23 // Bipartite(29,29) Valencies [29,29] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 156353510307879738610420548401458043502293692710912000000000000 EdgesBipt[58][23]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {28,51}, {12,36}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {29,46}, {20,47}, {15,49}, {28,43}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {29,53}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {29,36}, {14,43}, {20,34}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {29,42}, {20,32}, {18,40}, {11,33}, {18,44}, {28,46}, {5,47}, {29,51}, {16,54}, {11,32}, {22,43}, {26,48}, {28,37}, {15,55}, {24,41}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {11,31}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {29,54}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {13,35}, {26,53}, {10,40}, {23,48}, {29,37}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {29,48}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {28,42}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {9,48}, {21,58}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {28,34}, {25,38}, {23,56}, {20,37}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {29,41}, {7,40}, {17,56}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {11,37}, {14,55}, {2,30}, {6,30}, {9,35}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {17,32}, {25,46}, {28,35}, {8,42}, {28,50}, {10,46}, {6,57}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {19,58}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {29,56}, {19,40}, {29,31}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {27,58}, {6,45}, {22,49}, {23,30}, {19,55}, {29,34}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {3,58}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {29,33}, {28,41}, {29,35}, {29,32}, {23,32}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {25,51}, {20,54}, {29,57}, {7,49}, {22,58}, {1,56}, {11,36}, {29,30}, {6,52}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {28,40}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, 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{25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {29,40}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {29,58}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {23,47}, {23,44}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {6,58}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {29,38}, {22,42}, {1,46}, {27,52}, {8,51}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB58.24 // Bipartite(28,30) Valencies [30,28] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 80872505331661933764010628483512781121876047953920000000000000 EdgesBipt[58][24]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {16,29}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {20,47}, {15,49}, {28,43}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {18,44}, {28,46}, {5,47}, {16,54}, {11,32}, {22,43}, {26,48}, {28,37}, {15,55}, {24,41}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {28,29}, {11,31}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {26,53}, {10,40}, {23,48}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {28,42}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {28,34}, {25,38}, {23,56}, {20,37}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {11,37}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {8,42}, {28,35}, {6,57}, {10,46}, {28,50}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {19,58}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {27,58}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {28,41}, {23,32}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {25,51}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {6,52}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {28,40}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {28,44}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {11,39}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,58}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {17,58}, {19,34}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {27,29}, {23,47}, {23,44}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {20,44}, {19,36}, {18,33}, {28,55}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {6,43}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {26,57}, {12,29}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB58.25 // Bipartite(27,31) Valencies [31,27] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 89537416617197140953011767249603436242077053091840000000000000 EdgesBipt[58][25]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {20,47}, {15,49}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {26,48}, {15,55}, {24,41}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {11,31}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {23,28}, {26,53}, {10,40}, {23,48}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {1,28}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {25,38}, {23,56}, {20,37}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {26,46}, {11,37}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {27,58}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {14,44}, {25,51}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {6,52}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {11,39}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,58}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {10,28}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {17,58}, {19,34}, {25,28}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {3,33}, {21,28}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {27,33}, {23,49}, {26,41}, {6,49}, {27,32}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {17,44}, {9,49}, {3,35}, {15,53}, {26,28}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {27,29}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {16,28}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {27,28}, {16,57}, {14,36}, {2,43}, {19,50}, {27,36}, {19,52}, {6,43}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {19,28}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB58.26 // Bipartite(26,32) Valencies [32,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 106118419694455870759125057481011479990609840701440000000000000 EdgesBipt[58][26]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {26,48}, {26,27}, {15,55}, {24,41}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {11,31}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {23,28}, {7,27}, {10,40}, {26,53}, {23,48}, {13,30}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {4,27}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {25,27}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, 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{4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {14,44}, {25,51}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {24,27}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {11,39}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {26,58}, {15,27}, {26,32}, {26,33}, {20,48}, {20,39}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {26,35}, 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{22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {26,37}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {26,29}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34} }; // ETB58.27 // Bipartite(25,33) Valencies [33,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 134688763458347835963504880648976109218850951659520000000000000 EdgesBipt[58][27]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {25,30}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,26}, {7,42}, {25,52}, {21,45}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, 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{6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB58.28 // Bipartite(24,34) Valencies [34,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 183176718303353056910366637682607508537637294256947200000000000 EdgesBipt[58][28]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {24,49}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, 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{24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {24,27}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {11,39}, {4,53}, {7,30}, {7,58}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {3,47}, {22,41}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {12,45}, {5,46}, {24,26}, {14,34}, {23,49}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {22,30}, {4,48}, {23,40}, {1,51}, {9,25}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {24,25}, {3,57}, {6,47}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB58.29 // Bipartite(23,35) Valencies [35,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 267132714192389874660951346620469283284054387458048000000000000 EdgesBipt[58][29]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {22,49}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {13,29}, {22,28}, 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{1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {6,57}, {21,55}, {12,56}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {18,26}, {4,45}, {11,56}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, 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{22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {10,26}, {8,29}, {17,31}, {19,56}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {22,39}, {17,24}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {23,51}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {22,54}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {23,57}, {13,34}, {14,56}, {20,24}, {23,25}, {22,50}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {6,26}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {16,58}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {21,32}, {23,30}, {21,26}, {20,47}, {22,31}, {14,58}, {16,45}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {23,47}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.30 // Bipartite(22,36) Valencies [36,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 418120770040262412512793412101604095575041649934336000000000000 EdgesBipt[58][30]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {22,49}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {6,57}, {21,55}, {12,56}, {6,24}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {22,41}, {14,23}, {18,26}, {4,45}, {11,56}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {13,23}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {7,36}, {9,39}, {22,24}, {13,26}, {10,46}, {14,37}, {22,33}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {9,46}, {10,52}, {7,55}, {15,37}, {22,48}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {7,46}, {8,45}, {14,31}, {6,47}, {19,28}, {20,37}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {4,47}, {22,40}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {21,54}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {18,30}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {22,39}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {22,23}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {22,54}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {22,50}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {22,34}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {22,31}, {14,58}, {16,45}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {5,57}, {22,43}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.31 // Bipartite(21,37) Valencies [37,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 703203113249532239226061647625425069830751865798656000000000000 EdgesBipt[58][31]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {9,22}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, 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{7,46}, {14,31}, {6,47}, {19,28}, {20,37}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {21,54}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {12,36}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.32 // Bipartite(20,38) Valencies [38,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1272462776356296432885254409988864412074693852397568000000000000 EdgesBipt[58][32]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, 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{11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {3,40}, {20,46}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {20,55}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.33 // Bipartite(19,39) Valencies [39,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2481302413894778044126246099478285603545653012175257600000000000 EdgesBipt[58][33]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {19,22}, {8,28}, {7,57}, {3,49}, 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{12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {2,56}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {19,28}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {19,20}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.34 // Bipartite(18,40) Valencies [40,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5223794555567953777107886525217443375885585288790016000000000000 EdgesBipt[58][34]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.35 // Bipartite(17,41) Valencies [41,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11898643154349228047856852640773065467294944268910592000000000000 EdgesBipt[58][35]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, 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{1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {17,58}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.36 // Bipartite(16,42) Valencies [42,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29396647793098092824116930053674632330963979958484992000000000000 EdgesBipt[58][36]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {16,26}, {10,51}, {3,22}, 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{2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.37 // Bipartite(15,43) Valencies [43,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 79003490943951124464814249519250574389465696138428416000000000000 EdgesBipt[58][37]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {15,16}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.38 // Bipartite(14,44) Valencies [44,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 231743573435589965096788465256468351542432708672723353600000000000 EdgesBipt[58][38]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {14,40}, {9,41}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.39 // Bipartite(13,45) Valencies [45,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 744890057471539173525391495467219701386390849305182208000000000000 EdgesBipt[58][39]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {11,31}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {11,14}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.40 // Bipartite(12,46) Valencies [46,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2635764818745446306320616060884008174136459928310644736000000000000 EdgesBipt[58][40]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {8,53}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.41 // Bipartite(11,47) Valencies [47,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10323412206752998033089079571795698682034468052550025216000000000000 EdgesBipt[58][41]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {10,15}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.42 // Bipartite(10,48) Valencies [48,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 45047616902194900508025074495108503339786769683854655488000000000000 EdgesBipt[58][42]:={ {3,42}, {7,49}, {6,36}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {7,13}, {10,13}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {10,25}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {10,11}, {8,55}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {1,11}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,58}, {1,34}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {1,47}, {6,51}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {7,32}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {7,56}, {10,41}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {8,53}, {5,11}, {6,41}, {10,15}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB58.43 // Bipartite(9,49) Valencies [49,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 220733322820755012489322865026031666364955171450887811891200000000000 EdgesBipt[58][43]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {9,57}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {9,58}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {9,55}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {9,31}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {1,57}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {9,37}, {6,40} }; // ETB58.44 // Bipartite(8,50) Valencies [50,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1226296237893083402718460361255731479805306508060487843840000000000000 EdgesBipt[58][44]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {2,9}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB58.45 // Bipartite(7,51) Valencies [51,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7817638516568406692330184803005288183758828988885610004480000000000000 EdgesBipt[58][45]:={ {6,52}, {7,48}, {6,38}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,8}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {7,52}, {6,37}, {6,43}, {6,57}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB58.46 // Bipartite(6,52) Valencies [52,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 58073886123079592571595658536610712222208443917435960033280000000000000 EdgesBipt[58][46]:={ {6,52}, {6,38}, {5,7}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {5,28}, {6,17}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {4,57}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {4,34}, {6,22}, {1,57}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {6,37}, {6,43}, {6,57}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {5,10}, {6,53}, {6,55}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {6,7}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB58.47 // Bipartite(5,53) Valencies [53,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 512985994087203067715761650406727957962841254604017646960640000000000000 EdgesBipt[58][47]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {2,46}, {4,27}, {5,34}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {5,55}, {2,51}, {5,38}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {5,56}, {4,31}, {2,19}, {1,19}, {2,27}, {3,58}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {5,58}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {3,51}, {2,13}, {2,20}, {2,57}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {4,57}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {1,58}, {5,48}, {4,55}, {5,14}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {5,54}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {4,58}, {5,51}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {5,10}, {5,27}, {2,58}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {5,15}, {3,47}, {5,19}, {2,30}, {5,21}, {2,18}, {1,54}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {5,57}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB58.48 // Bipartite(4,54) Valencies [54,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5540248736141793131330225824392661945998685549723390587174912000000000000 EdgesBipt[58][48]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,58}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,20}, {2,57}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {4,57}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {1,58}, {4,55}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {4,58}, {1,53}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {2,58}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {2,18}, {1,54}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB58.49 // Bipartite(3,55) Valencies [55,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 76178420121949655555790605085399101757481926308696620573655040000000000000 EdgesBipt[58][49]:={ {1,15}, {3,15}, {1,43}, {2,38}, {3,56}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {3,53}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {1,55}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,57}, {3,47}, {2,9}, {1,4}, {3,5}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,58}, {2,4}, {2,24}, {1,58}, {3,42}, {2,27}, {3,52}, {3,58}, {3,4}, {2,43}, {3,35}, {3,57}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB58.50 // Bipartite(2,56) Valencies [56,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1421997175609726903708091294927449899472995957762336917374894080000000000000 EdgesBipt[58][50]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,57}, {2,9}, {1,4}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,58}, {2,4}, {2,24}, {1,58}, {2,27}, {2,43}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB58.51 // Bipartite(1,57) Valencies [57,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 40526919504877216755680601905432322134980384796226602145184481280000000000000 EdgesBipt[58][51]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,56}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,58}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,49}, {1,3}, {1,18}, {1,5}, {1,57}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 58 is 51 // ******************************************************************************************** // Order 59 // ETB59.1 // Bipartite(29,30) Valencies [30,29] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2345302654618196079156308226021870652534405390663680000000000000 EdgesBipt[59][1]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {29,46}, {20,47}, {15,49}, {28,43}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {29,53}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {26,59}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {29,36}, {14,43}, {20,34}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {29,42}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {28,46}, {5,47}, {29,51}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {28,37}, {15,55}, {24,41}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {11,31}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {29,54}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {27,59}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {13,35}, {3,59}, {26,53}, {10,40}, {23,48}, {29,37}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {29,48}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {28,59}, {8,35}, {28,42}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {9,48}, {21,58}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {28,34}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {29,41}, {7,40}, {17,56}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {11,37}, {14,55}, {2,30}, {6,30}, {9,35}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {29,59}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {17,32}, {25,46}, {8,42}, {28,35}, {6,57}, {10,46}, {28,50}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {19,58}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {29,56}, {19,40}, {29,31}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {27,58}, {6,45}, {22,49}, {23,30}, {19,55}, {29,34}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {3,58}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {29,33}, {28,41}, {29,35}, {29,32}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {25,51}, {20,54}, {29,57}, {7,49}, {22,58}, {1,56}, {11,36}, {29,30}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {28,40}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {5,38}, {25,42}, {9,40}, {28,44}, {10,36}, {1,54}, {16,30}, {12,34}, {29,52}, {7,33}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {29,45}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {29,50}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {29,44}, {23,55}, {5,43}, {9,47}, {29,49}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {5,59}, {1,39}, {4,37}, {8,43}, {29,55}, {25,48}, {14,30}, {21,48}, {17,58}, {19,34}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {29,40}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {29,58}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {23,47}, {23,44}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {6,58}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {29,38}, {22,42}, {1,46}, {27,52}, {8,51}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {19,54}, {13,55}, {25,59}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB59.2 // Bipartite(28,31) Valencies [31,28] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2507047665281519946684329482988896214778157486571520000000000000 EdgesBipt[59][2]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {16,29}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {20,47}, {15,49}, {28,43}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {26,59}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {28,46}, {5,47}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {28,37}, {15,55}, {24,41}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {28,29}, {11,31}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {27,59}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {3,59}, {26,53}, {10,40}, {23,48}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {28,59}, {8,35}, {28,42}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {28,34}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {11,37}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {8,42}, {28,35}, {6,57}, {10,46}, {28,50}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {19,58}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {27,58}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {28,41}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {25,51}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {28,40}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {28,44}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {5,59}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {17,58}, {19,34}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {27,29}, {23,47}, {23,44}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {20,44}, {19,36}, {18,33}, {28,55}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {6,43}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {25,59}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB59.3 // Bipartite(27,32) Valencies [32,27] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2865197331750308510496376551987309959746465698938880000000000000 EdgesBipt[59][3]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {20,47}, {15,49}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {15,55}, {24,41}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {11,31}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {27,59}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {23,28}, {3,59}, {10,40}, {26,53}, {23,48}, {13,30}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {8,52}, {1,28}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {26,46}, {11,37}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {27,49}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {27,44}, {27,58}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {14,44}, {25,51}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {10,28}, {16,34}, {25,36}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, 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{2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {16,28}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {15,40}, {14,42}, {26,37}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {27,28}, {16,57}, {14,36}, {2,43}, {19,50}, {27,36}, {19,52}, {6,43}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {19,28}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {25,59}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB59.4 // Bipartite(26,33) Valencies [33,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3501907849917043735051126896873378839690124743147520000000000000 EdgesBipt[59][4]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, 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{21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {25,28}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {3,33}, {21,28}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {23,49}, {11,27}, {26,41}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {17,44}, {9,49}, {3,35}, {15,53}, {26,28}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {26,37}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {26,29}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34} }; // ETB59.5 // Bipartite(25,34) Valencies [34,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4579417957583826422759165942065187713440932356423680000000000000 EdgesBipt[59][5]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {25,30}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,26}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, 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{23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {14,58}, {12,32}, {22,44}, {1,26}, {14,44}, {15,26}, {20,54}, {25,51}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {25,29}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {24,27}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {25,42}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, 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{1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {17,43}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB59.6 // Bipartite(24,35) Valencies [35,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6411185140617356991862832318891262798817305298993152000000000000 EdgesBipt[59][6]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {24,49}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, 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{8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {12,45}, {5,46}, {24,26}, {14,34}, {23,49}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {23,40}, {1,51}, {9,25}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {24,25}, {3,57}, {6,47}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {24,55}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB59.7 // Bipartite(23,36) Valencies [36,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9616777710926035487794248478336894198225957948489728000000000000 EdgesBipt[59][7]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {18,24}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {8,24}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, 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{11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {21,24}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {23,58}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {10,24}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {1,44}, {23,43}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB59.8 // Bipartite(22,37) Valencies [37,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15470468491489709262973356247759351536276541047570432000000000000 EdgesBipt[59][8]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {18,24}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {7,23}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {8,24}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {4,25}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {17,23}, {10,45}, {22,56}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {16,26}, {5,24}, {11,32}, {22,43}, {22,59}, {15,55}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, 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{22,53}, {15,41}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {21,43}, {7,43}, {12,43}, {8,23}, {5,45}, {5,36}, {12,46}, {4,27}, {9,42}, {13,50}, {3,25}, {1,37}, {13,23}, {12,40}, {21,47}, {8,52}, {1,28}, {7,46}, {8,45}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {21,58}, {17,24}, {21,38}, {15,37}, {7,44}, {2,41}, {6,56}, {8,36}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {20,37}, {17,59}, {5,23}, {12,44}, {11,23}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {5,37}, {11,59}, {9,24}, {21,39}, {21,46}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {20,23}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {12,25}, {22,24}, {14,49}, {20,36}, {6,31}, {1,23}, {6,45}, {22,49}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {2,34}, {22,40}, {20,42}, {13,37}, {21,53}, {6,34}, {15,56}, {18,28}, {21,23}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {1,42}, {4,29}, {21,51}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {22,44}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {17,57}, {16,49}, {18,46}, {4,39}, {18,43}, {2,52}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {21,29}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {4,23}, {3,47}, {22,41}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {8,59}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {20,38}, {3,41}, {15,39}, {18,29}, {4,42}, {16,45}, {10,54}, {21,36}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {18,23}, {4,54}, {12,24}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {7,24}, {11,27}, {6,49}, {22,23}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {1,51}, {9,25}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {21,24}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {14,23}, {20,44}, {19,36}, {18,33}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {10,24}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {1,44}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34}, {12,23} }; // ETB59.9 // Bipartite(21,38) Valencies [38,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26721718303482225090590342609766152653568570900348928000000000000 EdgesBipt[59][9]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {1,55}, {19,40}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {9,22}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,57}, {21,55}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {11,56}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {21,22}, {14,35}, {15,27}, {12,41}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {13,50}, {15,23}, {14,59}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {9,59}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {19,28}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {21,54}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {21,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {19,27}, {20,59}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {12,36}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {21,38}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.10 // Bipartite(20,39) Valencies [39,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49626048277895560882524921989565712070913060243505152000000000000 EdgesBipt[59][10]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {13,50}, {15,23}, {14,59}, {9,42}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {9,59}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {19,28}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {20,21}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {19,27}, {20,59}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {3,40}, {16,59}, {20,46}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {20,55}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.11 // Bipartite(19,40) Valencies [40,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 99252096555791121765049843979131424141826120487010304000000000000 EdgesBipt[59][11]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {19,22}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {2,56}, {19,24}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {14,59}, {9,42}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {9,59}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {19,28}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {19,20}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.12 // Bipartite(18,41) Valencies [41,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 214175576778286104861423347533915178411308996840390656000000000000 EdgesBipt[59][12]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.13 // Bipartite(17,42) Valencies [42,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 499743012482667578009987810912468749626387659294244864000000000000 EdgesBipt[59][13]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {17,19}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,18}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {17,58}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.14 // Bipartite(16,43) Valencies [43,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1264055855103217991437027992308009190231451138214854656000000000000 EdgesBipt[59][14]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {16,17}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.15 // Bipartite(15,44) Valencies [44,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3476153601533849476451826978847025273136490630090850304000000000000 EdgesBipt[59][15]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {15,16}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {9,59}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.16 // Bipartite(14,45) Valencies [45,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10428460804601548429355480936541075819409471890272550912000000000000 EdgesBipt[59][16]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {14,40}, {9,41}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.17 // Bipartite(13,46) Valencies [46,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 34264942643690801982168008791492106263773979068038381568000000000000 EdgesBipt[59][17]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.18 // Bipartite(12,47) Valencies [47,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 123880946481035976397068954861548384184413616630600302592000000000000 EdgesBipt[59][18]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.19 // Bipartite(11,48) Valencies [48,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 495523785924143905588275819446193536737654466522401210368000000000000 EdgesBipt[59][19]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {10,15}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.20 // Bipartite(10,49) Valencies [49,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2207333228207550124893228650260316663649551714508878118912000000000000 EdgesBipt[59][20]:={ {3,42}, {7,49}, {6,36}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {7,13}, {8,59}, {10,13}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {10,25}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {10,11}, {8,55}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {8,41}, {2,40}, {9,43}, {6,53}, {1,11}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {5,58}, {1,34}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {7,32}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {7,56}, {10,41}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {5,11}, {6,41}, {10,15}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB59.21 // Bipartite(9,50) Valencies [50,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11036666141037750624466143251301583318247758572544390594560000000000000 EdgesBipt[59][21]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {9,10}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {9,57}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {9,59}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {9,58}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {9,55}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {9,31}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {9,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {2,59}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {9,37}, {6,40} }; // ETB59.22 // Bipartite(8,51) Valencies [51,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 62541108132547253538641478424042305470070631911084880035840000000000000 EdgesBipt[59][22]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {5,45}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {2,59}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {2,9}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB59.23 // Bipartite(7,52) Valencies [52,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 406517202861557148001169609756274985555459107422051720232960000000000000 EdgesBipt[59][23]:={ {6,52}, {7,48}, {6,38}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,8}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {6,57}, {7,24}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {2,59}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB59.24 // Bipartite(6,53) Valencies [53,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3077915964523218406294569902440367747777047527624105881763840000000000000 EdgesBipt[59][24]:={ {6,52}, {6,38}, {6,59}, {5,7}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {5,28}, {6,17}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {4,57}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {4,34}, {6,22}, {1,57}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {6,37}, {6,43}, {6,57}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {5,10}, {6,53}, {6,55}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {6,7}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB59.25 // Bipartite(5,54) Valencies [54,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 27701243680708965656651129121963309729993427748616952935874560000000000000 EdgesBipt[59][25]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {2,46}, {4,27}, {5,34}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {5,55}, {2,51}, {5,38}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {5,56}, {4,31}, {2,19}, {1,19}, {2,27}, {3,58}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {5,58}, {1,22}, {1,51}, {3,44}, {2,59}, {4,47}, {4,33}, {4,21}, {5,23}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {4,59}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {5,18}, {4,57}, {1,23}, {5,30}, {2,6}, {5,24}, {4,48}, {5,7}, {5,46}, {5,49}, {1,45}, {1,9}, {1,58}, {5,48}, {4,55}, {5,14}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {5,54}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {5,44}, {5,59}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {1,46}, {4,58}, {5,51}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {5,10}, {5,27}, {2,58}, {5,26}, {3,42}, {4,18}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {5,15}, {3,47}, {5,19}, {3,59}, {2,30}, {5,21}, {2,18}, {1,54}, {5,35}, {1,34}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {5,57}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB59.26 // Bipartite(4,55) Valencies [55,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 304713680487798622223162420341596407029927705234786482294620160000000000000 EdgesBipt[59][26]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,58}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {4,47}, {4,33}, {4,21}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {4,59}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {4,57}, {1,23}, {2,6}, {4,48}, {1,45}, {1,9}, {1,58}, {4,55}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {4,58}, {1,53}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {2,58}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {3,59}, {2,30}, {2,18}, {1,54}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB59.27 // Bipartite(3,56) Valencies [56,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4265991526829180711124273884782349698418987873287010752124682240000000000000 EdgesBipt[59][27]:={ {1,15}, {3,15}, {1,43}, {2,38}, {3,56}, {1,11}, {2,22}, {3,29}, {3,38}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {3,53}, {1,25}, {2,47}, {2,37}, {3,32}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {3,30}, {1,32}, {3,50}, {3,45}, {3,10}, {2,28}, {3,34}, {1,52}, {3,31}, {2,19}, {2,18}, {2,15}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {3,41}, {1,34}, {2,14}, {3,11}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {3,13}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {2,13}, {3,14}, {1,12}, {3,9}, {3,22}, {1,55}, {3,23}, {2,42}, {2,34}, {3,27}, {1,19}, {2,40}, {2,35}, {2,57}, {3,47}, {2,9}, {1,4}, {3,5}, {1,59}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,58}, {2,4}, {2,24}, {1,58}, {3,42}, {2,27}, {3,52}, {3,58}, {3,4}, {2,43}, {3,35}, {3,57}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {3,28}, {3,26}, {3,59}, {3,24}, {2,49}, {3,12}, {2,51}, {1,42}, {2,6}, {2,59}, {3,21}, {1,14}, {1,51}, {1,41}, {3,49}, {3,44}, {2,8}, {3,39}, {1,37}, {1,20}, {1,27}, {1,13}, {3,16}, {3,25}, {2,26}, {3,8}, {3,20}, {1,33}, {2,25}, {3,6}, {1,28}, {3,36}, {3,17}, {3,37}, {2,7}, {3,43}, {1,47}, {1,45}, {3,33}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB59.28 // Bipartite(2,57) Valencies [57,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 81053839009754433511361203810864644269960769592453204290368962560000000000000 EdgesBipt[59][28]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,57}, {2,9}, {1,4}, {1,59}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,58}, {2,4}, {2,24}, {1,58}, {2,27}, {2,43}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {2,59}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,7}, {1,47}, {1,45}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB59.29 // Bipartite(1,58) Valencies [58,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 2350561331282878571829474910515074683828862318181142924420699914240000000000000 EdgesBipt[59][29]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,56}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,20}, {1,12}, {1,31}, {1,58}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,59}, {1,49}, {1,3}, {1,18}, {1,5}, {1,57}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 59 is 29 // ******************************************************************************************** // Order 60 // ETB60.1 // Bipartite(30,30) Valencies [2,2] // Diameter 30 Girth 60 // Twin-free VT AT // Automorphism group of order 120 EdgesBipt[60][1]:={ {3,32}, {29,58}, {18,43}, {5,36}, {19,41}, {27,33}, {28,56}, {10,40}, {29,60}, {1,32}, {8,38}, {15,47}, {24,37}, {6,55}, {30,33}, {7,55}, {12,40}, {2,60}, {1,31}, {23,52}, {13,49}, {25,54}, {30,31}, {15,45}, {22,39}, {21,52}, {11,51}, {9,53}, {4,59}, {20,48}, {8,36}, {2,59}, {17,48}, {6,57}, {26,35}, {9,51}, {4,57}, {22,41}, {24,39}, {14,42}, {18,45}, {3,34}, {19,43}, {28,58}, {12,42}, {20,50}, {21,50}, {5,34}, {13,47}, {26,37}, {10,38}, {14,44}, {7,53}, {27,35}, {11,49}, {17,46}, {16,46}, {16,44}, {23,54}, {25,56} }; // ETB60.2 // Bipartite(24,36) Valencies [3,2] // Diameter 8 Girth 12 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[60][2]:={ {8,54}, {17,37}, {18,52}, {8,28}, {4,56}, {5,37}, {17,28}, {20,51}, {21,33}, {5,53}, {1,43}, {6,26}, {1,39}, {10,58}, {18,42}, {10,48}, {23,38}, {13,25}, {3,33}, {14,41}, {4,60}, {15,38}, {11,44}, {2,55}, {3,48}, {12,31}, {13,49}, {9,32}, {7,30}, {8,46}, {7,36}, {16,27}, {5,47}, {9,40}, {15,46}, {23,27}, {11,35}, {20,54}, {22,52}, {12,34}, {6,42}, {14,55}, {21,60}, {12,29}, {16,59}, {23,35}, {7,59}, {22,41}, {10,53}, {19,43}, {20,26}, {22,58}, {24,50}, {2,51}, {15,57}, {3,57}, {9,49}, {11,39}, {2,34}, {24,31}, {21,32}, {13,45}, {19,47}, {24,45}, {6,44}, {1,25}, {16,56}, {17,50}, {14,30}, {19,36}, {4,29}, {18,40} }; // ETB60.3 // Bipartite(20,40) Valencies [4,2] // Diameter 8 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 80 EdgesBipt[60][3]:={ {6,56}, {4,24}, {5,51}, {13,28}, {19,51}, {4,36}, {13,31}, {20,38}, {7,34}, {7,31}, {12,33}, {11,58}, {5,43}, {11,60}, {6,46}, {2,40}, {13,25}, {8,52}, {12,32}, {6,30}, {14,57}, {15,23}, {2,36}, {2,45}, {4,30}, {20,46}, {8,44}, {15,21}, {16,48}, {20,37}, {16,57}, {7,40}, {12,39}, {10,26}, {18,60}, {8,42}, {18,54}, {4,27}, {1,21}, {3,54}, {9,33}, {17,48}, {17,38}, {1,49}, {17,27}, {9,42}, {14,55}, {15,25}, {10,29}, {16,59}, {20,41}, {19,55}, {8,35}, {10,24}, {3,50}, {5,39}, {2,53}, {3,49}, {19,45}, {11,56}, {9,50}, {18,23}, {17,32}, {9,59}, {16,53}, {5,34}, {10,22}, {11,26}, {14,44}, {6,52}, {12,28}, {1,41}, {13,37}, {1,35}, {18,47}, {14,58}, {19,47}, {3,43}, {15,22}, {7,29} }; // ETB60.4 // Bipartite(20,40) Valencies [4,2] // Diameter 10 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 20480 EdgesBipt[60][4]:={ {17,37}, {10,59}, {4,39}, {15,40}, {13,60}, {1,44}, {19,51}, {8,31}, {15,36}, {2,32}, {6,33}, {1,30}, {16,34}, {2,56}, {4,52}, {6,26}, {10,58}, {18,42}, {18,59}, {3,27}, {7,55}, {11,27}, {12,32}, {16,55}, {5,46}, {3,24}, {6,40}, {20,44}, {8,47}, {11,21}, {7,36}, {7,45}, {9,48}, {17,49}, {15,31}, {16,57}, {12,52}, {13,53}, {11,35}, {5,28}, {1,21}, {13,39}, {5,60}, {11,22}, {12,41}, {19,38}, {9,43}, {19,48}, {9,42}, {14,46}, {5,57}, {20,58}, {8,34}, {15,28}, {13,23}, {10,37}, {4,22}, {14,33}, {4,25}, {18,45}, {1,54}, {3,41}, {8,50}, {19,30}, {2,51}, {9,49}, {2,35}, {14,24}, {10,38}, {20,56}, {18,47}, {20,43}, {17,29}, {14,25}, {6,23}, {3,53}, {17,50}, {16,26}, {7,29}, {12,54} }; // ETB60.5 // Bipartite(20,40) Valencies [4,2] // Diameter 8 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 320 EdgesBipt[60][5]:={ {7,47}, {12,57}, {4,50}, {5,42}, {2,46}, {13,60}, {17,54}, {3,51}, {8,31}, {18,51}, {1,29}, {2,30}, {15,53}, {5,29}, {13,41}, {11,24}, {6,55}, {2,43}, {19,42}, {19,53}, {14,45}, {11,44}, {6,30}, {14,59}, {4,31}, {9,52}, {10,55}, {11,38}, {6,40}, {15,37}, {9,37}, {16,58}, {11,33}, {9,32}, {5,23}, {8,43}, {17,59}, {19,28}, {15,46}, {12,36}, {18,60}, {12,58}, {1,21}, {10,41}, {3,52}, {12,23}, {17,38}, {1,49}, {19,48}, {14,32}, {16,49}, {16,35}, {7,21}, {20,34}, {4,28}, {5,56}, {2,27}, {20,25}, {4,22}, {3,39}, {3,34}, {1,54}, {20,26}, {18,27}, {7,39}, {15,33}, {13,47}, {10,22}, {13,48}, {20,40}, {8,57}, {9,56}, {8,45}, {14,25}, {6,44}, {10,35}, {7,24}, {17,50}, {18,36}, {16,26} }; // ETB60.6 // Bipartite(20,40) Valencies [4,2] // Diameter 20 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 41943040 EdgesBipt[60][6]:={ {11,30}, {20,42}, {4,24}, {5,36}, {19,41}, {3,40}, {13,28}, {19,24}, {5,37}, {11,52}, {4,44}, {20,22}, {7,34}, {9,31}, {15,47}, {6,26}, {1,39}, {18,59}, {2,43}, {6,46}, {7,55}, {18,39}, {12,32}, {3,38}, {15,27}, {16,55}, {13,49}, {16,58}, {8,47}, {8,27}, {15,45}, {18,57}, {3,58}, {14,56}, {10,31}, {12,52}, {3,60}, {9,53}, {4,45}, {14,36}, {19,21}, {1,21}, {11,32}, {14,53}, {9,33}, {20,60}, {12,34}, {1,59}, {6,48}, {9,51}, {5,57}, {15,25}, {10,29}, {16,35}, {7,35}, {5,56}, {16,38}, {14,33}, {4,25}, {2,42}, {18,37}, {8,50}, {10,51}, {2,23}, {13,29}, {17,43}, {7,54}, {11,50}, {1,41}, {6,28}, {19,44}, {13,48}, {20,40}, {8,30}, {17,26}, {2,22}, {10,49}, {17,46}, {17,23}, {12,54} }; // ETB60.7 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 6 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[60][7]:={ {4,35}, {6,39}, {7,39}, {27,54}, {27,60}, {30,57}, {12,60}, {12,39}, {29,56}, {4,60}, {3,38}, {15,54}, {8,51}, {1,31}, {20,53}, {25,34}, {13,54}, {19,39}, {8,36}, {24,48}, {29,43}, {10,40}, {18,37}, {6,32}, {7,31}, {21,57}, {28,34}, {22,44}, {11,38}, {21,53}, {1,32}, {13,43}, {26,50}, {16,48}, {28,58}, {22,41}, {26,56}, {3,31}, {11,45}, {19,37}, {3,41}, {17,45}, {1,34}, {29,55}, {5,33}, {12,46}, {22,47}, {20,59}, {2,50}, {14,58}, {9,34}, {4,53}, {28,38}, {5,43}, {26,45}, {15,46}, {26,53}, {8,56}, {13,45}, {30,32}, {28,47}, {7,49}, {15,57}, {17,33}, {14,44}, {13,40}, {8,40}, {25,41}, {23,46}, {23,42}, {18,35}, {9,48}, {14,32}, {9,33}, {9,44}, {11,36}, {4,51}, {2,43}, {23,49}, {25,52}, {30,49}, {7,44}, {23,37}, {19,58}, {5,47}, {27,42}, {5,36}, {24,59}, {15,51}, {11,48}, {2,51}, {24,56}, {2,59}, {29,38}, {6,42}, {1,37}, {18,52}, {22,55}, {14,52}, {17,55}, {27,50}, {24,47}, {19,41}, {18,57}, {16,55}, {20,54}, {10,50}, {21,40}, {25,49}, {21,42}, {16,58}, {6,35}, {12,52}, {17,59}, {20,36}, {10,35}, {10,46}, {3,33}, {30,60}, {16,31} }; // ETB60.8 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[60][8]:={ {4,35}, {27,39}, {27,46}, {21,48}, {19,45}, {30,57}, {16,49}, {11,44}, {15,54}, {8,51}, {7,59}, {23,38}, {20,53}, {7,40}, {1,31}, {18,39}, {9,45}, {1,46}, {28,40}, {4,40}, {13,57}, {2,47}, {12,31}, {15,44}, {25,32}, {20,60}, {22,52}, {13,34}, {18,37}, {5,41}, {6,32}, {8,55}, {17,35}, {8,46}, {14,60}, {22,44}, {5,58}, {17,42}, {16,48}, {15,52}, {16,41}, {1,52}, {26,56}, {6,54}, {30,56}, {6,53}, {14,33}, {19,56}, {9,38}, {27,37}, {24,37}, {10,58}, {20,33}, {10,36}, {18,59}, {22,46}, {27,43}, {2,50}, {2,32}, {21,41}, {25,53}, {23,55}, {12,51}, {9,34}, {7,47}, {26,45}, {21,50}, {5,56}, {13,59}, {14,43}, {11,39}, {26,31}, {20,49}, {15,45}, {10,33}, {29,60}, {9,54}, {26,52}, {17,51}, {28,35}, {13,40}, {4,38}, {25,48}, {2,48}, {10,49}, {8,43}, {22,39}, {24,59}, {5,31}, {19,57}, {30,36}, {29,38}, {1,51}, {19,34}, {29,54}, {12,42}, {11,32}, {28,42}, {17,55}, {12,41}, {18,47}, {14,55}, {25,49}, {21,42}, {3,36}, {7,50}, {11,47}, {16,58}, {3,37}, {28,50}, {24,57}, {3,43}, {6,44}, {4,34}, {3,33}, {23,35}, {29,53}, {23,60}, {30,58}, {24,36} }; // ETB60.9 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[60][9]:={ {16,34}, {7,42}, {6,48}, {24,53}, {12,48}, {23,47}, {29,56}, {10,57}, {8,51}, {1,31}, {26,55}, {23,33}, {19,60}, {4,40}, {5,34}, {3,53}, {23,39}, {18,37}, {6,32}, {16,56}, {8,46}, {13,43}, {24,43}, {30,33}, {17,43}, {19,33}, {13,38}, {25,60}, {11,54}, {1,52}, {10,45}, {15,32}, {3,41}, {14,33}, {11,34}, {17,53}, {29,55}, {20,38}, {26,57}, {6,49}, {28,44}, {4,39}, {21,51}, {2,36}, {24,38}, {15,36}, {15,49}, {10,39}, {28,53}, {6,59}, {5,55}, {5,56}, {13,45}, {4,45}, {11,46}, {17,46}, {27,51}, {15,57}, {7,52}, {14,44}, {21,58}, {18,58}, {22,50}, {13,40}, {8,40}, {11,50}, {3,35}, {29,35}, {25,31}, {25,48}, {30,49}, {25,59}, {2,54}, {10,49}, {9,35}, {2,46}, {20,55}, {8,43}, {7,44}, {14,37}, {30,59}, {23,37}, {20,45}, {22,34}, {30,39}, {2,51}, {20,57}, {24,35}, {1,42}, {21,32}, {9,60}, {12,58}, {21,36}, {29,38}, {3,44}, {17,50}, {22,42}, {18,52}, {26,54}, {27,58}, {28,42}, {7,37}, {19,41}, {16,60}, {18,47}, {12,32}, {26,36}, {14,41}, {9,41}, {12,52}, {28,50}, {9,56}, {4,47}, {22,31}, {16,31}, {1,48}, {19,59}, {27,40}, {27,47}, {5,54} }; // ETB60.10 // Bipartite(30,30) Valencies [4,4] // Diameter 10 Girth 4 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[60][10]:={ {22,59}, {27,39}, {7,39}, {6,48}, {16,49}, {19,49}, {12,60}, {15,43}, {10,57}, {8,51}, {1,31}, {7,40}, {23,33}, {26,41}, {27,35}, {10,48}, {13,57}, {3,53}, {12,40}, {30,43}, {17,35}, {8,55}, {22,35}, {22,56}, {10,53}, {16,48}, {25,60}, {16,41}, {11,52}, {17,44}, {24,34}, {14,46}, {15,59}, {24,55}, {13,58}, {18,55}, {12,56}, {26,42}, {24,54}, {9,38}, {27,33}, {23,58}, {13,44}, {20,38}, {9,43}, {29,42}, {21,51}, {21,41}, {28,52}, {8,47}, {25,45}, {9,34}, {14,50}, {5,43}, {5,56}, {6,37}, {26,31}, {18,54}, {2,40}, {17,33}, {12,35}, {25,38}, {11,37}, {30,34}, {14,32}, {6,31}, {5,60}, {3,57}, {23,53}, {25,59}, {30,45}, {10,49}, {27,36}, {5,45}, {28,51}, {2,39}, {7,44}, {22,39}, {19,58}, {11,31}, {21,52}, {20,32}, {20,45}, {19,42}, {19,57}, {8,50}, {30,46}, {29,48}, {2,59}, {1,51}, {1,41}, {26,49}, {4,32}, {6,42}, {21,37}, {4,54}, {18,52}, {23,44}, {29,58}, {13,36}, {15,38}, {15,56}, {28,54}, {4,50}, {18,47}, {14,55}, {24,46}, {3,36}, {11,47}, {9,32}, {2,60}, {28,50}, {16,37}, {4,34}, {20,46}, {1,47}, {3,33}, {29,53}, {7,36}, {17,40} }; // ETB60.11 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[60][11]:={ {6,48}, {10,54}, {12,49}, {17,39}, {2,38}, {4,42}, {23,47}, {4,60}, {9,42}, {1,31}, {27,35}, {13,57}, {5,34}, {24,50}, {23,39}, {28,39}, {12,31}, {13,48}, {16,51}, {22,52}, {30,43}, {3,32}, {8,55}, {16,40}, {21,57}, {24,60}, {25,51}, {11,38}, {21,53}, {4,44}, {10,53}, {16,48}, {19,38}, {8,34}, {22,33}, {16,33}, {14,56}, {10,47}, {24,55}, {26,59}, {3,51}, {13,58}, {26,42}, {17,45}, {6,53}, {9,58}, {20,33}, {2,52}, {17,48}, {26,57}, {24,58}, {29,59}, {18,59}, {2,32}, {9,34}, {15,49}, {5,43}, {15,46}, {21,50}, {5,56}, {7,53}, {18,56}, {4,45}, {28,36}, {28,49}, {25,55}, {18,50}, {7,49}, {29,60}, {2,35}, {26,37}, {14,44}, {8,40}, {25,41}, {20,37}, {19,55}, {6,60}, {30,35}, {18,32}, {21,46}, {25,52}, {1,54}, {15,42}, {9,35}, {6,38}, {11,40}, {22,39}, {23,37}, {20,44}, {5,31}, {19,36}, {22,34}, {14,47}, {30,46}, {12,58}, {29,54}, {10,51}, {17,41}, {7,32}, {14,52}, {13,36}, {8,45}, {27,50}, {7,37}, {30,41}, {15,56}, {28,54}, {12,41}, {3,36}, {20,31}, {11,47}, {3,43}, {23,43}, {1,45}, {11,59}, {1,57}, {27,44}, {29,33}, {27,40}, {19,46} }; // ETB60.12 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 6 // Twin-free VT AT // Automorphism group of order 480 EdgesBipt[60][12]:={ {11,43}, {21,48}, {24,33}, {10,54}, {8,39}, {17,47}, {2,38}, {4,42}, {21,31}, {5,52}, {11,55}, {1,31}, {12,57}, {19,60}, {26,41}, {22,58}, {4,49}, {27,34}, {28,39}, {25,32}, {13,34}, {27,48}, {16,56}, {4,44}, {13,43}, {9,37}, {10,52}, {22,36}, {28,58}, {3,45}, {3,34}, {17,44}, {7,56}, {8,41}, {12,56}, {6,53}, {24,54}, {16,59}, {15,39}, {26,40}, {5,33}, {20,38}, {17,48}, {6,47}, {24,58}, {18,59}, {12,54}, {9,43}, {23,41}, {30,51}, {2,36}, {23,48}, {15,49}, {14,50}, {29,57}, {30,40}, {5,55}, {27,56}, {13,59}, {7,53}, {1,55}, {11,39}, {27,51}, {29,60}, {2,35}, {26,37}, {18,58}, {28,35}, {5,59}, {2,44}, {23,42}, {19,55}, {22,60}, {12,38}, {21,46}, {15,60}, {29,35}, {25,31}, {10,49}, {9,35}, {14,31}, {6,38}, {9,53}, {7,44}, {11,40}, {21,52}, {20,32}, {24,32}, {14,47}, {30,46}, {1,51}, {16,46}, {22,53}, {8,52}, {6,42}, {10,51}, {7,32}, {13,36}, {8,45}, {20,34}, {18,45}, {19,41}, {18,57}, {4,50}, {15,47}, {25,49}, {30,42}, {26,36}, {14,54}, {3,37}, {28,50}, {16,37}, {20,46}, {23,43}, {1,45}, {3,33}, {17,40}, {19,50}, {29,33}, {25,57} }; // ETB60.13 // Bipartite(30,30) Valencies [4,4] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[60][13]:={ {30,57}, {10,54}, {28,33}, {24,53}, {12,49}, {8,31}, {17,39}, {3,56}, {9,42}, {3,46}, {6,51}, {10,43}, {7,60}, {19,60}, {13,57}, {29,43}, {7,38}, {4,49}, {4,59}, {28,39}, {26,33}, {13,34}, {25,44}, {6,32}, {12,33}, {15,40}, {21,35}, {25,51}, {14,42}, {1,32}, {13,43}, {10,52}, {8,42}, {16,48}, {17,43}, {30,53}, {20,42}, {22,41}, {27,45}, {10,47}, {28,32}, {3,51}, {27,31}, {12,56}, {24,40}, {3,41}, {9,58}, {1,34}, {17,58}, {26,40}, {19,56}, {24,37}, {4,37}, {15,34}, {19,54}, {22,47}, {24,58}, {18,59}, {18,60}, {21,59}, {26,38}, {23,55}, {15,36}, {13,49}, {23,48}, {9,59}, {15,46}, {1,55}, {14,38}, {4,45}, {8,53}, {21,33}, {25,50}, {11,51}, {26,52}, {2,53}, {11,37}, {2,44}, {7,35}, {6,52}, {6,31}, {1,58}, {12,55}, {21,46}, {5,38}, {29,35}, {2,54}, {17,56}, {5,45}, {16,54}, {2,46}, {20,47}, {22,45}, {29,48}, {28,57}, {8,49}, {18,52}, {23,44}, {22,55}, {27,50}, {30,41}, {29,31}, {14,41}, {18,36}, {20,39}, {11,47}, {16,37}, {20,36}, {14,48}, {5,44}, {7,34}, {16,32}, {19,50}, {30,60}, {9,50}, {11,35}, {5,39}, {23,36}, {27,40}, {25,57} }; // ETB60.14 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 120 EdgesBipt[60][14]:={ {24,39}, {16,34}, {7,42}, {6,48}, {16,49}, {9,52}, {24,53}, {21,31}, {15,43}, {18,44}, {19,44}, {18,53}, {11,33}, {8,51}, {1,31}, {10,38}, {28,40}, {4,59}, {28,56}, {29,39}, {20,60}, {13,34}, {7,54}, {17,35}, {8,46}, {5,58}, {3,50}, {15,52}, {3,45}, {17,54}, {22,41}, {3,51}, {8,44}, {11,49}, {5,49}, {26,42}, {6,43}, {27,33}, {22,47}, {23,32}, {23,45}, {2,41}, {24,58}, {12,54}, {4,39}, {18,33}, {26,48}, {21,59}, {2,36}, {14,58}, {10,39}, {4,53}, {14,50}, {20,48}, {10,31}, {29,57}, {13,60}, {27,55}, {13,59}, {6,37}, {29,44}, {21,33}, {2,40}, {14,51}, {2,57}, {26,37}, {11,57}, {1,59}, {28,35}, {8,40}, {25,41}, {25,58}, {30,35}, {30,48}, {11,36}, {30,47}, {14,36}, {5,38}, {5,46}, {25,52}, {1,54}, {6,56}, {21,49}, {17,56}, {9,35}, {28,51}, {20,55}, {18,46}, {13,32}, {27,53}, {27,42}, {22,45}, {19,57}, {10,55}, {29,38}, {1,37}, {9,47}, {15,41}, {7,32}, {12,47}, {25,46}, {15,56}, {16,42}, {20,31}, {16,38}, {17,32}, {3,43}, {4,34}, {23,43}, {26,34}, {22,40}, {19,50}, {30,60}, {23,60}, {9,50}, {12,37}, {7,55}, {19,52}, {12,45}, {24,36} }; // ETB60.15 // Bipartite(30,30) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[60][15]:={ {22,59}, {9,40}, {28,60}, {18,41}, {19,49}, {4,42}, {15,54}, {8,51}, {5,57}, {1,31}, {26,55}, {30,50}, {24,48}, {3,54}, {24,50}, {7,38}, {12,40}, {4,59}, {23,39}, {30,43}, {3,32}, {19,40}, {13,34}, {25,44}, {1,56}, {17,42}, {10,53}, {16,48}, {21,60}, {28,58}, {15,52}, {6,45}, {3,34}, {25,60}, {1,52}, {7,56}, {15,32}, {5,37}, {30,56}, {6,53}, {17,53}, {27,33}, {29,51}, {20,33}, {23,32}, {20,35}, {4,46}, {21,51}, {6,46}, {6,33}, {8,47}, {2,36}, {10,41}, {14,58}, {12,51}, {28,38}, {20,48}, {16,35}, {9,59}, {26,53}, {27,55}, {4,45}, {11,39}, {11,46}, {13,47}, {15,50}, {16,57}, {7,52}, {17,33}, {2,35}, {14,49}, {26,37}, {3,47}, {18,48}, {22,54}, {19,43}, {21,45}, {26,58}, {5,38}, {25,31}, {2,54}, {10,49}, {9,35}, {20,55}, {2,39}, {14,37}, {8,43}, {22,39}, {13,50}, {11,60}, {5,31}, {23,31}, {19,42}, {10,55}, {24,56}, {18,43}, {27,57}, {29,38}, {16,44}, {8,49}, {12,42}, {11,32}, {28,45}, {23,44}, {12,47}, {29,58}, {7,37}, {25,46}, {30,41}, {13,52}, {21,34}, {14,41}, {18,36}, {17,59}, {9,36}, {22,40}, {1,57}, {27,44}, {29,34}, {24,36} }; // ETB60.16 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 6 // Twin-free VT AT // Automorphism group of order 240 EdgesBipt[60][16]:={ {6,39}, {9,40}, {30,57}, {22,32}, {2,38}, {4,60}, {11,33}, {7,59}, {1,31}, {30,50}, {13,54}, {26,41}, {27,35}, {22,58}, {5,34}, {28,37}, {30,55}, {12,40}, {28,56}, {16,51}, {29,39}, {16,56}, {24,51}, {29,37}, {10,44}, {21,53}, {26,50}, {21,44}, {22,49}, {8,42}, {20,43}, {19,38}, {7,51}, {19,33}, {13,38}, {6,45}, {24,34}, {3,55}, {3,48}, {11,34}, {27,33}, {29,51}, {23,45}, {4,39}, {26,48}, {2,36}, {24,38}, {10,41}, {5,55}, {5,43}, {15,46}, {21,50}, {5,56}, {13,59}, {7,53}, {1,55}, {15,35}, {28,49}, {28,47}, {7,52}, {2,53}, {8,40}, {23,42}, {26,43}, {6,52}, {25,58}, {10,59}, {22,60}, {11,50}, {21,46}, {24,44}, {25,52}, {15,42}, {9,35}, {16,54}, {18,46}, {14,31}, {2,39}, {8,43}, {27,53}, {1,49}, {20,47}, {20,32}, {17,37}, {23,31}, {9,60}, {27,57}, {12,58}, {10,56}, {1,41}, {3,44}, {17,34}, {8,49}, {4,54}, {17,41}, {12,47}, {29,58}, {14,57}, {18,45}, {18,57}, {14,40}, {30,42}, {18,36}, {20,31}, {6,35}, {17,32}, {9,36}, {14,48}, {4,47}, {3,33}, {13,37}, {11,59}, {16,32}, {25,54}, {23,60}, {19,52}, {25,36}, {19,46}, {12,45}, {15,48} }; // ETB60.17 // Bipartite(30,30) Valencies [4,4] // Diameter 15 Girth 4 // Has twins VT AT // Automorphism group of order 64424509440 EdgesBipt[60][17]:={ {4,35}, {6,39}, {21,43}, {29,46}, {17,47}, {8,59}, {21,39}, {5,52}, {9,42}, {1,31}, {19,39}, {9,45}, {1,46}, {7,60}, {11,42}, {12,40}, {2,47}, {13,34}, {10,40}, {18,37}, {25,44}, {5,41}, {17,35}, {24,60}, {28,34}, {7,45}, {11,38}, {10,44}, {22,56}, {9,57}, {16,48}, {24,45}, {13,38}, {22,41}, {25,40}, {16,33}, {6,58}, {14,46}, {7,56}, {15,32}, {5,37}, {6,54}, {3,48}, {8,44}, {26,42}, {6,43}, {24,42}, {29,51}, {19,54}, {15,34}, {23,58}, {26,57}, {7,41}, {11,53}, {4,39}, {18,33}, {2,50}, {2,32}, {26,38}, {13,49}, {15,49}, {12,51}, {28,53}, {28,38}, {26,53}, {27,55}, {5,56}, {8,58}, {13,53}, {28,49}, {30,32}, {25,55}, {27,51}, {14,51}, {2,35}, {18,48}, {21,58}, {11,57}, {20,37}, {30,34}, {10,59}, {22,60}, {12,55}, {3,52}, {30,47}, {14,36}, {30,49}, {25,59}, {27,36}, {20,56}, {14,31}, {8,43}, {23,59}, {22,45}, {12,36}, {21,54}, {10,55}, {9,60}, {20,52}, {16,46}, {17,50}, {4,54}, {18,52}, {23,44}, {29,36}, {29,31}, {4,50}, {15,47}, {1,33}, {3,37}, {17,32}, {24,57}, {19,35}, {23,43}, {3,33}, {19,50}, {16,31}, {1,48}, {27,40}, {20,41} }; // ETB60.18 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[60][18]:={ {13,41}, {7,48}, {6,39}, {7,39}, {27,54}, {30,52}, {2,38}, {21,39}, {23,47}, {15,43}, {19,44}, {4,60}, {11,55}, {5,50}, {1,31}, {25,34}, {26,55}, {19,60}, {27,35}, {18,42}, {30,43}, {1,38}, {21,57}, {14,60}, {25,51}, {4,44}, {22,56}, {6,40}, {24,43}, {26,50}, {9,57}, {10,53}, {15,52}, {8,34}, {19,33}, {27,45}, {28,32}, {7,56}, {8,41}, {17,45}, {28,41}, {16,59}, {17,53}, {13,51}, {28,55}, {10,34}, {20,59}, {23,58}, {6,49}, {2,56}, {12,54}, {9,43}, {18,33}, {23,41}, {25,53}, {29,40}, {8,47}, {4,33}, {15,49}, {10,37}, {15,35}, {8,58}, {11,46}, {26,31}, {29,60}, {12,35}, {18,58}, {22,48}, {1,59}, {2,53}, {5,59}, {25,37}, {30,35}, {3,42}, {11,50}, {3,52}, {3,58}, {14,36}, {20,50}, {22,37}, {30,49}, {1,54}, {21,49}, {17,56}, {16,54}, {28,51}, {13,32}, {22,39}, {20,44}, {13,55}, {11,31}, {27,42}, {5,36}, {24,32}, {29,48}, {9,46}, {10,51}, {18,52}, {12,42}, {26,46}, {29,36}, {7,37}, {17,38}, {6,57}, {21,40}, {24,46}, {14,40}, {19,47}, {9,32}, {16,38}, {20,36}, {23,34}, {24,57}, {14,48}, {4,47}, {5,44}, {3,33}, {16,31}, {12,45}, {2,45} }; // ETB60.19 // Bipartite(30,30) Valencies [4,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1966080 EdgesBipt[60][19]:={ {22,59}, {27,39}, {16,34}, {27,46}, {9,52}, {24,53}, {12,49}, {1,43}, {2,38}, {10,60}, {18,40}, {12,39}, {10,57}, {7,59}, {11,33}, {1,31}, {13,54}, {19,39}, {6,51}, {29,49}, {13,48}, {26,33}, {29,47}, {23,56}, {28,48}, {21,44}, {13,42}, {22,36}, {19,38}, {3,45}, {19,33}, {3,34}, {25,60}, {11,54}, {16,41}, {11,52}, {6,58}, {24,55}, {15,32}, {5,37}, {1,34}, {17,53}, {26,40}, {27,37}, {12,46}, {22,47}, {13,44}, {20,59}, {28,44}, {4,39}, {21,51}, {2,50}, {2,32}, {3,40}, {4,33}, {14,58}, {15,36}, {19,51}, {7,47}, {20,48}, {8,35}, {8,56}, {15,35}, {30,32}, {18,34}, {25,50}, {14,49}, {21,58}, {26,52}, {2,53}, {5,59}, {20,37}, {8,60}, {4,38}, {30,35}, {4,51}, {3,57}, {6,56}, {15,42}, {5,45}, {14,31}, {9,53}, {8,43}, {11,40}, {20,45}, {21,56}, {14,47}, {5,48}, {30,36}, {1,41}, {17,50}, {26,54}, {22,55}, {24,41}, {29,58}, {28,42}, {25,46}, {17,38}, {18,45}, {29,31}, {18,57}, {16,43}, {28,54}, {10,50}, {30,42}, {9,41}, {17,32}, {6,44}, {24,52}, {23,43}, {10,46}, {9,55}, {23,35}, {7,36}, {23,60}, {16,31}, {12,37}, {7,55}, {27,49}, {25,57} }; // ETB60.20 // Bipartite(30,30) Valencies [4,4] // Diameter 5 Girth 4 // Twin-free VT Non-AT // Automorphism group of order 120 EdgesBipt[60][20]:={ {14,39}, {4,35}, {7,39}, {28,60}, {6,48}, {28,33}, {24,53}, {12,49}, {15,43}, {23,38}, {8,36}, {5,35}, {1,46}, {26,44}, {27,34}, {26,33}, {18,42}, {19,40}, {18,37}, {27,48}, {8,55}, {24,51}, {21,53}, {1,32}, {9,37}, {9,57}, {30,53}, {3,45}, {17,54}, {11,52}, {10,45}, {3,48}, {26,42}, {5,49}, {28,46}, {16,53}, {24,42}, {19,56}, {10,58}, {19,54}, {4,37}, {20,33}, {20,59}, {23,32}, {6,47}, {25,56}, {4,46}, {12,54}, {21,38}, {1,36}, {7,58}, {30,51}, {23,41}, {25,45}, {4,33}, {10,41}, {10,31}, {7,47}, {13,59}, {14,43}, {18,56}, {29,44}, {15,50}, {2,42}, {16,57}, {29,60}, {2,57}, {12,35}, {22,50}, {11,37}, {2,44}, {2,58}, {19,43}, {12,59}, {6,52}, {6,60}, {22,60}, {3,58}, {15,31}, {28,51}, {9,35}, {29,32}, {8,32}, {13,50}, {13,55}, {11,31}, {5,36}, {30,39}, {14,47}, {24,56}, {8,50}, {29,48}, {30,36}, {20,52}, {3,49}, {22,43}, {17,41}, {23,44}, {15,41}, {20,34}, {25,46}, {17,38}, {16,55}, {21,40}, {13,52}, {14,40}, {18,31}, {21,34}, {11,47}, {16,38}, {17,59}, {9,55}, {26,34}, {1,45}, {25,54}, {22,51}, {5,39}, {27,40}, {27,49}, {7,57} }; // ETB60.21 // Bipartite(15,45) Valencies [6,2] // Diameter 6 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[60][20]:={ {12,57}, {5,36}, {7,50}, {5,32}, {4,56}, {6,34}, {13,58}, {7,16}, {1,44}, {5,37}, {6,39}, {1,29}, {7,23}, {1,40}, {6,55}, {12,16}, {8,21}, {5,43}, {10,32}, {15,27}, {8,24}, {3,23}, {12,31}, {15,37}, {10,45}, {9,47}, {2,33}, {3,20}, {13,18}, {9,48}, {8,44}, {1,38}, {15,21}, {7,27}, {4,33}, {8,48}, {5,31}, {13,40}, {11,51}, {12,52}, {3,47}, {6,60}, {11,46}, {2,18}, {5,60}, {9,36}, {14,35}, {1,59}, {9,42}, {11,53}, {13,20}, {7,25}, {4,57}, {14,51}, {13,35}, {8,55}, {10,56}, {2,53}, {15,58}, {4,25}, {6,19}, {2,42}, {13,52}, {2,19}, {3,59}, {10,54}, {3,41}, {8,50}, {6,17}, {11,41}, {11,45}, {11,39}, {14,24}, {9,30}, {10,38}, {9,26}, {4,26}, {12,28}, {1,34}, {14,28}, {15,49}, {12,17}, {7,46}, {2,22}, {10,49}, {14,54}, {3,43}, {14,30}, {15,22}, {4,29} }; // ETB60.22 // Bipartite(15,45) Valencies [6,2] // Diameter 5 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 77760 EdgesBipt[60][21]:={ {6,56}, {11,30}, {13,54}, {5,51}, {3,40}, {1,50}, {9,19}, {8,60}, {12,48}, {5,37}, {1,46}, {4,47}, {11,52}, {13,31}, {2,29}, {9,20}, {3,55}, {8,38}, {12,33}, {4,52}, {5,43}, {1,45}, {5,40}, {14,45}, {2,36}, {10,55}, {4,16}, {9,46}, {6,32}, {7,58}, {15,48}, {8,27}, {13,43}, {8,44}, {13,32}, {1,38}, {4,18}, {12,47}, {10,31}, {1,16}, {2,20}, {7,18}, {14,36}, {11,35}, {5,60}, {14,53}, {9,33}, {6,27}, {6,57}, {10,44}, {11,53}, {12,24}, {4,57}, {15,54}, {7,22}, {10,29}, {7,21}, {6,49}, {3,50}, {12,26}, {8,41}, {13,23}, {3,49}, {15,58}, {4,25}, {14,21}, {10,42}, {3,59}, {15,34}, {7,28}, {12,42}, {2,51}, {6,17}, {11,41}, {15,39}, {5,26}, {14,24}, {2,34}, {10,22}, {2,25}, {15,59}, {9,28}, {1,23}, {13,30}, {9,56}, {11,19}, {7,37}, {14,17}, {8,39}, {3,35} }; // ETB60.23 // Bipartite(15,45) Valencies [6,2] // Diameter 15 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14105549537280 EdgesBipt[60][22]:={ {7,48}, {5,32}, {14,25}, {12,26}, {4,58}, {12,39}, {4,60}, {15,54}, {10,57}, {3,46}, {1,31}, {10,27}, {1,46}, {5,34}, {2,47}, {7,33}, {10,40}, {9,19}, {1,44}, {9,21}, {11,22}, {15,52}, {13,38}, {11,52}, {3,31}, {9,51}, {8,41}, {1,29}, {12,56}, {3,48}, {3,18}, {5,49}, {13,51}, {15,39}, {15,22}, {12,54}, {8,28}, {10,25}, {2,32}, {1,16}, {2,17}, {9,34}, {4,28}, {6,59}, {4,43}, {5,19}, {7,20}, {8,56}, {8,26}, {14,38}, {8,58}, {4,45}, {13,53}, {4,30}, {1,59}, {11,37}, {6,29}, {7,35}, {9,49}, {12,24}, {11,50}, {7,18}, {8,43}, {14,23}, {5,47}, {14,53}, {5,17}, {15,37}, {10,55}, {6,42}, {13,21}, {10,42}, {3,16}, {13,23}, {13,36}, {11,20}, {6,57}, {12,41}, {14,55}, {14,40}, {7,50}, {2,60}, {9,36}, {6,44}, {6,27}, {3,33}, {11,35}, {2,30}, {15,24}, {2,45} }; // ETB60.24 // Bipartite(20,40) Valencies [6,3] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[60][23]:={ {7,42}, {9,40}, {6,48}, {9,52}, {8,24}, {2,38}, {10,22}, {14,34}, {2,22}, {6,36}, {5,50}, {16,30}, {18,39}, {5,35}, {1,46}, {6,23}, {10,38}, {1,40}, {13,57}, {7,38}, {13,48}, {5,24}, {7,54}, {6,32}, {8,55}, {16,56}, {8,46}, {9,21}, {7,23}, {7,51}, {15,52}, {2,28}, {11,54}, {12,25}, {10,47}, {14,59}, {15,28}, {6,54}, {5,49}, {19,37}, {6,53}, {17,58}, {13,51}, {5,33}, {4,37}, {15,34}, {20,33}, {9,27}, {2,41}, {9,43}, {4,46}, {18,60}, {18,33}, {10,25}, {4,53}, {7,47}, {3,22}, {14,28}, {4,43}, {16,29}, {20,49}, {2,42}, {4,21}, {11,51}, {14,44}, {3,47}, {12,29}, {13,30}, {10,29}, {11,26}, {8,40}, {17,36}, {18,35}, {12,55}, {3,42}, {19,53}, {12,44}, {3,35}, {15,60}, {17,56}, {16,45}, {8,43}, {11,60}, {17,37}, {19,36}, {20,45}, {11,48}, {20,57}, {8,50}, {2,59}, {9,26}, {12,58}, {10,56}, {3,49}, {11,27}, {19,34}, {4,32}, {3,39}, {18,52}, {15,27}, {15,41}, {13,23}, {19,41}, {14,55}, {20,31}, {20,39}, {16,58}, {17,32}, {13,31}, {5,44}, {1,45}, {12,50}, {1,57}, {1,30}, {16,31}, {1,21}, {14,24}, {19,59}, {17,25}, {18,26} }; // ETB60.25 // Bipartite(20,40) Valencies [6,3] // Diameter 5 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[60][24]:={ {14,39}, {7,43}, {15,23}, {17,39}, {12,60}, {3,56}, {4,60}, {3,38}, {18,53}, {10,57}, {5,50}, {11,33}, {3,46}, {20,53}, {6,41}, {11,29}, {1,40}, {7,38}, {1,25}, {15,44}, {7,33}, {20,21}, {13,34}, {7,54}, {1,56}, {16,40}, {8,46}, {2,55}, {9,37}, {17,42}, {19,23}, {12,53}, {17,44}, {18,51}, {3,55}, {10,23}, {18,24}, {19,37}, {10,58}, {19,54}, {2,52}, {15,22}, {9,27}, {10,36}, {2,31}, {19,30}, {9,43}, {18,59}, {16,47}, {10,25}, {20,58}, {4,33}, {4,28}, {20,48}, {16,26}, {7,25}, {16,52}, {5,56}, {14,45}, {13,59}, {15,35}, {13,35}, {11,46}, {4,31}, {15,45}, {6,26}, {6,55}, {14,51}, {2,35}, {11,57}, {13,30}, {13,40}, {8,60}, {12,38}, {11,50}, {18,32}, {4,51}, {2,43}, {10,49}, {8,27}, {5,47}, {5,36}, {3,59}, {5,31}, {12,36}, {2,49}, {19,42}, {13,21}, {3,39}, {8,49}, {17,34}, {1,27}, {12,42}, {11,32}, {17,29}, {20,29}, {14,52}, {8,48}, {6,57}, {7,21}, {12,41}, {18,47}, {1,28}, {9,41}, {14,54}, {17,26}, {6,24}, {16,58}, {8,30}, {16,37}, {19,32}, {4,34}, {14,48}, {20,22}, {5,44}, {1,45}, {9,50}, {15,24}, {9,22}, {6,28} }; // ETB60.26 // Bipartite(20,40) Valencies [6,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 251658240 EdgesBipt[60][25]:={ {6,48}, {9,52}, {19,49}, {13,29}, {8,39}, {17,47}, {18,40}, {8,59}, {17,27}, {10,57}, {4,27}, {15,55}, {6,41}, {13,24}, {2,47}, {7,33}, {18,42}, {7,31}, {16,40}, {14,60}, {1,44}, {3,30}, {3,50}, {10,52}, {17,42}, {18,23}, {8,34}, {7,51}, {17,54}, {13,38}, {20,51}, {14,46}, {7,56}, {13,58}, {20,25}, {6,53}, {14,33}, {19,56}, {5,23}, {13,44}, {20,38}, {12,54}, {18,60}, {6,33}, {20,58}, {12,34}, {6,21}, {13,49}, {16,35}, {5,43}, {10,37}, {7,53}, {15,35}, {3,23}, {11,39}, {4,31}, {19,29}, {15,50}, {4,30}, {14,26}, {5,28}, {11,57}, {12,35}, {1,59}, {11,37}, {2,44}, {9,49}, {9,48}, {2,24}, {12,55}, {11,36}, {2,27}, {17,22}, {4,51}, {15,21}, {3,57}, {5,45}, {2,46}, {1,39}, {9,28}, {14,53}, {19,36}, {20,45}, {19,42}, {8,54}, {5,48}, {18,43}, {19,22}, {1,41}, {17,34}, {15,41}, {8,25}, {9,29}, {2,26}, {8,45}, {10,32}, {16,55}, {16,60}, {4,50}, {12,32}, {14,40}, {20,31}, {3,37}, {12,52}, {9,32}, {16,38}, {16,58}, {18,22}, {10,26}, {3,43}, {10,46}, {4,47}, {15,30}, {11,59}, {7,36}, {1,21}, {5,25}, {11,56}, {1,24}, {6,28} }; // ETB60.27 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][26]:={ {24,39}, {5,32}, {21,48}, {13,29}, {8,39}, {4,58}, {9,30}, {3,29}, {4,60}, {6,36}, {5,57}, {8,51}, {20,53}, {18,39}, {12,57}, {21,47}, {23,33}, {6,41}, {10,43}, {1,46}, {23,27}, {1,25}, {12,40}, {4,59}, {22,52}, {19,40}, {23,56}, {7,27}, {11,38}, {10,44}, {9,37}, {23,51}, {22,49}, {8,42}, {16,48}, {13,42}, {15,52}, {3,45}, {19,38}, {15,29}, {6,45}, {9,31}, {12,53}, {3,31}, {6,34}, {24,34}, {15,59}, {7,56}, {23,30}, {15,32}, {15,28}, {3,48}, {8,44}, {20,25}, {17,45}, {22,25}, {24,42}, {9,38}, {5,33}, {10,58}, {24,37}, {2,52}, {20,35}, {8,33}, {22,46}, {21,51}, {2,50}, {14,30}, {14,58}, {21,50}, {13,59}, {14,43}, {14,38}, {13,35}, {18,34}, {7,30}, {17,33}, {14,44}, {2,53}, {1,26}, {19,43}, {15,26}, {10,59}, {11,41}, {12,55}, {5,60}, {11,36}, {18,32}, {6,56}, {12,43}, {2,54}, {17,56}, {9,35}, {16,54}, {18,28}, {24,49}, {20,55}, {14,31}, {16,45}, {3,28}, {13,55}, {3,26}, {11,25}, {2,49}, {21,54}, {10,55}, {2,51}, {20,57}, {22,53}, {4,32}, {8,49}, {4,54}, {1,27}, {10,42}, {17,41}, {23,44}, {22,26}, {9,29}, {7,46}, {4,52}, {7,37}, {16,60}, {18,57}, {19,41}, {24,46}, {19,47}, {18,36}, {11,47}, {16,58}, {20,36}, {1,47}, {17,60}, {7,34}, {13,37}, {12,50}, {17,40}, {19,50}, {16,31}, {5,39}, {11,35}, {1,48}, {5,40}, {6,28}, {21,27} }; // ETB60.28 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[60][27]:={ {16,41}, {17,50}, {6,32}, {24,48}, {4,26}, {10,37}, {4,53}, {8,30}, {4,56}, {17,53}, {9,45}, {8,42}, {8,54}, {8,28}, {18,38}, {16,31}, {24,55}, {1,27}, {20,40}, {5,56}, {9,44}, {12,42}, {3,58}, {13,35}, {14,31}, {2,26}, {15,47}, {12,35}, {14,50}, {2,41}, {24,36}, {18,58}, {12,50}, {16,29}, {18,34}, {23,39}, {23,44}, {15,60}, {15,25}, {23,32}, {6,47}, {20,38}, {3,46}, {11,33}, {21,46}, {6,40}, {2,36}, {20,55}, {13,58}, {22,34}, {22,55}, {15,40}, {5,29}, {24,43}, {11,49}, {19,29}, {14,30}, {17,51}, {22,41}, {22,57}, {21,27}, {3,44}, {11,59}, {10,29}, {24,52}, {2,57}, {18,55}, {17,43}, {7,53}, {7,26}, {6,33}, {2,32}, {21,51}, {6,44}, {19,41}, {21,25}, {15,35}, {12,47}, {5,49}, {5,48}, {10,42}, {19,31}, {4,43}, {23,58}, {24,56}, {16,49}, {17,31}, {5,42}, {12,57}, {4,36}, {8,57}, {9,40}, {5,54}, {16,45}, {7,59}, {18,59}, {1,49}, {6,26}, {20,25}, {19,51}, {1,25}, {22,28}, {1,46}, {9,30}, {10,39}, {20,48}, {16,34}, {19,32}, {4,37}, {14,45}, {10,35}, {17,60}, {3,30}, {18,28}, {11,27}, {20,52}, {23,46}, {8,50}, {19,39}, {2,47}, {21,53}, {14,52}, {9,33}, {14,43}, {15,38}, {21,60}, {13,38}, {10,56}, {9,52}, {11,45}, {3,28}, {7,27}, {13,37}, {1,48}, {3,54}, {13,59}, {7,33}, {11,34}, {13,39}, {7,37}, {22,36}, {1,54}, {23,51}, {12,60} }; // ETB60.29 // Bipartite(24,36) Valencies [6,4] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[60][28]:={ {7,43}, {13,41}, {9,40}, {24,53}, {8,31}, {12,26}, {12,39}, {21,39}, {5,30}, {20,28}, {10,57}, {20,53}, {23,38}, {23,33}, {6,41}, {5,35}, {10,38}, {1,40}, {23,27}, {3,54}, {1,25}, {15,44}, {6,50}, {12,33}, {16,40}, {14,42}, {24,43}, {21,44}, {22,49}, {14,35}, {17,43}, {19,33}, {11,54}, {12,25}, {6,58}, {14,56}, {4,26}, {18,51}, {24,55}, {23,30}, {21,28}, {13,58}, {3,48}, {6,54}, {12,56}, {19,56}, {24,37}, {15,34}, {13,44}, {22,47}, {23,45}, {6,47}, {17,48}, {10,36}, {24,58}, {8,33}, {11,53}, {4,46}, {4,39}, {16,47}, {21,51}, {18,38}, {2,50}, {2,32}, {7,58}, {2,36}, {4,28}, {5,51}, {4,29}, {9,59}, {16,52}, {5,56}, {18,25}, {14,45}, {7,53}, {15,57}, {14,49}, {2,57}, {12,29}, {1,59}, {10,29}, {1,35}, {22,54}, {11,37}, {8,40}, {18,27}, {9,49}, {9,48}, {15,26}, {18,35}, {6,60}, {21,30}, {11,41}, {22,60}, {3,42}, {3,52}, {2,43}, {8,27}, {5,45}, {2,46}, {14,31}, {7,44}, {1,49}, {13,50}, {20,32}, {3,59}, {19,42}, {13,28}, {11,48}, {9,60}, {18,29}, {21,36}, {8,52}, {17,50}, {10,51}, {22,42}, {1,27}, {11,32}, {13,36}, {8,45}, {17,55}, {20,34}, {24,47}, {15,38}, {16,55}, {3,37}, {17,32}, {16,37}, {4,34}, {20,46}, {9,55}, {10,46}, {17,60}, {19,25}, {22,31}, {23,26}, {7,34}, {15,30}, {5,39}, {16,31}, {19,52}, {19,59}, {20,41}, {7,57} }; // ETB60.30 // Bipartite(24,36) Valencies [6,4] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[60][29]:={ {14,39}, {7,43}, {11,43}, {10,54}, {14,25}, {8,39}, {17,47}, {5,30}, {20,28}, {7,59}, {1,31}, {13,54}, {23,25}, {23,33}, {24,48}, {5,35}, {22,58}, {24,50}, {1,25}, {15,44}, {16,51}, {7,54}, {5,41}, {9,39}, {16,56}, {21,26}, {8,46}, {7,45}, {4,44}, {22,56}, {6,40}, {13,43}, {9,57}, {10,53}, {22,49}, {12,27}, {17,43}, {19,33}, {2,28}, {12,53}, {11,52}, {12,25}, {10,45}, {3,31}, {9,51}, {4,26}, {21,28}, {20,40}, {15,28}, {14,27}, {24,40}, {9,58}, {14,33}, {24,37}, {2,52}, {13,44}, {20,59}, {6,47}, {10,36}, {21,38}, {16,47}, {18,33}, {18,38}, {2,32}, {23,41}, {23,55}, {10,41}, {15,36}, {6,59}, {19,51}, {5,55}, {1,55}, {8,35}, {8,58}, {4,30}, {2,34}, {2,40}, {14,51}, {7,52}, {3,47}, {12,29}, {12,35}, {22,48}, {10,29}, {1,35}, {23,29}, {2,44}, {18,27}, {19,55}, {9,48}, {6,52}, {6,60}, {12,38}, {21,45}, {20,50}, {3,57}, {22,37}, {5,46}, {21,29}, {5,53}, {17,56}, {8,27}, {18,46}, {14,31}, {13,32}, {1,49}, {19,58}, {13,50}, {11,60}, {17,37}, {20,45}, {19,42}, {24,32}, {11,48}, {1,42}, {9,60}, {3,49}, {3,39}, {8,49}, {17,50}, {4,54}, {22,42}, {11,32}, {18,30}, {13,36}, {15,38}, {6,57}, {16,60}, {16,42}, {21,34}, {3,37}, {17,59}, {20,36}, {24,57}, {4,34}, {4,41}, {23,26}, {7,34}, {15,30}, {15,53}, {16,31}, {11,56}, {18,26}, {19,46} }; // ETB60.31 // Bipartite(24,36) Valencies [6,4] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[60][30]:={ {5,32}, {16,49}, {11,44}, {17,39}, {2,38}, {12,60}, {18,40}, {21,31}, {9,30}, {15,43}, {10,57}, {8,51}, {13,54}, {8,36}, {12,57}, {21,47}, {23,33}, {1,46}, {23,27}, {1,25}, {12,31}, {13,48}, {19,27}, {17,35}, {24,60}, {7,27}, {24,51}, {4,44}, {22,56}, {6,40}, {3,50}, {10,52}, {8,42}, {20,43}, {22,36}, {17,52}, {19,38}, {20,42}, {2,28}, {10,45}, {3,31}, {16,33}, {13,46}, {4,26}, {18,51}, {15,28}, {20,25}, {11,34}, {24,42}, {9,38}, {19,54}, {2,41}, {6,47}, {20,35}, {7,26}, {11,53}, {18,59}, {8,28}, {19,26}, {10,25}, {6,33}, {21,41}, {7,58}, {23,55}, {14,58}, {15,36}, {10,39}, {9,34}, {4,53}, {14,50}, {16,26}, {16,52}, {21,50}, {5,56}, {1,55}, {13,45}, {6,37}, {17,46}, {18,34}, {21,33}, {7,49}, {2,40}, {12,29}, {12,35}, {21,58}, {1,35}, {22,54}, {6,29}, {4,38}, {6,31}, {20,50}, {15,60}, {3,57}, {5,46}, {5,53}, {10,49}, {13,32}, {14,37}, {8,43}, {8,32}, {9,28}, {22,39}, {1,49}, {23,37}, {22,45}, {24,30}, {24,32}, {11,48}, {2,51}, {24,56}, {5,48}, {2,59}, {11,27}, {22,53}, {3,60}, {16,44}, {4,54}, {12,42}, {9,47}, {23,44}, {18,30}, {3,25}, {20,29}, {13,36}, {17,55}, {7,37}, {15,56}, {18,47}, {14,29}, {14,40}, {14,41}, {9,41}, {16,58}, {3,43}, {4,34}, {1,45}, {11,59}, {15,30}, {5,39}, {17,57}, {7,55}, {19,59}, {19,48}, {23,52} }; // ETB60.32 // Bipartite(24,36) Valencies [6,4] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 288 EdgesBipt[60][31]:={ {4,35}, {24,39}, {11,43}, {22,59}, {16,34}, {7,39}, {24,33}, {6,48}, {12,48}, {12,26}, {17,47}, {2,38}, {21,31}, {12,39}, {23,47}, {24,26}, {6,36}, {5,57}, {7,40}, {4,48}, {19,39}, {1,46}, {23,27}, {1,25}, {3,32}, {13,34}, {19,40}, {6,50}, {5,41}, {1,56}, {8,55}, {17,35}, {19,31}, {15,40}, {4,44}, {14,42}, {10,52}, {10,53}, {20,43}, {21,60}, {22,36}, {8,34}, {19,38}, {6,45}, {2,28}, {11,54}, {16,33}, {3,31}, {13,46}, {4,26}, {3,51}, {8,44}, {16,53}, {20,25}, {5,33}, {10,58}, {2,41}, {18,59}, {8,28}, {21,51}, {3,40}, {23,55}, {15,36}, {15,49}, {6,59}, {22,29}, {5,51}, {16,26}, {4,29}, {16,52}, {18,25}, {13,45}, {8,53}, {2,42}, {3,27}, {6,55}, {21,33}, {7,49}, {7,30}, {11,51}, {12,35}, {22,48}, {2,53}, {2,58}, {9,49}, {10,59}, {12,38}, {5,60}, {3,58}, {18,32}, {21,46}, {22,37}, {9,35}, {20,56}, {8,43}, {14,37}, {1,49}, {19,58}, {13,50}, {13,55}, {20,44}, {24,30}, {15,37}, {11,25}, {4,56}, {9,60}, {9,46}, {11,27}, {16,44}, {22,42}, {10,42}, {18,52}, {17,41}, {11,32}, {9,47}, {15,27}, {18,30}, {20,29}, {10,32}, {7,37}, {14,57}, {17,38}, {18,45}, {20,54}, {15,47}, {14,29}, {21,34}, {23,28}, {14,41}, {14,54}, {17,28}, {13,31}, {9,56}, {24,52}, {24,57}, {17,60}, {23,43}, {1,45}, {12,50}, {19,50}, {1,30}, {23,36}, {5,54}, {7,57} }; // ETB60.33 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[60][32]:={ {24,39}, {13,25}, {7,48}, {19,49}, {16,36}, {1,43}, {17,47}, {4,42}, {12,60}, {18,40}, {21,39}, {5,52}, {9,42}, {5,30}, {18,53}, {20,28}, {10,57}, {5,57}, {8,51}, {18,39}, {23,33}, {5,35}, {10,48}, {1,25}, {2,37}, {24,29}, {15,40}, {13,27}, {4,44}, {3,30}, {3,50}, {8,42}, {20,43}, {13,42}, {3,45}, {17,52}, {19,33}, {6,45}, {11,54}, {16,41}, {12,25}, {10,45}, {6,58}, {20,51}, {4,26}, {15,59}, {23,54}, {7,56}, {21,28}, {14,59}, {18,55}, {3,48}, {5,49}, {16,53}, {6,53}, {6,43}, {1,34}, {19,56}, {17,30}, {20,38}, {20,59}, {23,32}, {23,45}, {10,36}, {13,33}, {2,31}, {22,46}, {18,38}, {2,32}, {21,41}, {24,38}, {1,50}, {4,53}, {22,29}, {7,47}, {9,59}, {15,46}, {14,38}, {8,58}, {4,31}, {15,50}, {16,57}, {6,55}, {17,33}, {12,29}, {11,57}, {9,54}, {10,29}, {1,35}, {2,58}, {18,27}, {7,35}, {19,55}, {14,32}, {6,60}, {9,44}, {15,60}, {24,44}, {8,27}, {24,49}, {2,46}, {14,31}, {11,40}, {13,50}, {19,36}, {21,56}, {2,49}, {21,54}, {22,34}, {14,47}, {9,60}, {12,58}, {20,52}, {11,27}, {8,52}, {21,37}, {24,25}, {3,39}, {10,51}, {11,32}, {17,41}, {16,28}, {22,26}, {12,47}, {13,36}, {12,41}, {1,28}, {8,37}, {17,26}, {3,37}, {9,56}, {4,34}, {14,48}, {23,43}, {22,40}, {5,44}, {23,26}, {7,34}, {15,30}, {22,51}, {11,35}, {16,31}, {7,55}, {19,46} }; // ETB60.34 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 10368 EdgesBipt[60][33]:={ {8,48}, {11,53}, {17,35}, {17,44}, {17,36}, {2,46}, {11,35}, {4,26}, {23,29}, {2,56}, {3,40}, {12,56}, {11,25}, {2,51}, {16,47}, {12,32}, {8,28}, {18,38}, {24,55}, {1,32}, {12,38}, {9,49}, {21,42}, {13,35}, {7,36}, {3,52}, {5,32}, {12,50}, {15,60}, {15,25}, {14,54}, {23,52}, {19,33}, {3,34}, {2,34}, {9,48}, {9,27}, {24,37}, {22,34}, {22,55}, {19,59}, {2,37}, {10,52}, {12,44}, {16,54}, {19,29}, {14,40}, {24,58}, {10,54}, {23,34}, {7,43}, {20,31}, {21,44}, {6,43}, {23,41}, {6,60}, {13,49}, {18,55}, {14,53}, {22,51}, {9,50}, {1,29}, {7,30}, {7,53}, {16,32}, {24,45}, {13,50}, {19,41}, {21,25}, {11,30}, {15,35}, {6,46}, {4,48}, {18,53}, {1,45}, {24,49}, {8,56}, {6,56}, {14,58}, {20,45}, {4,55}, {3,27}, {18,47}, {21,31}, {4,28}, {10,60}, {13,36}, {17,31}, {8,26}, {10,58}, {12,57}, {14,59}, {10,43}, {8,57}, {17,28}, {1,42}, {19,60}, {18,59}, {11,39}, {20,49}, {21,29}, {19,51}, {1,25}, {16,44}, {4,58}, {22,47}, {20,46}, {17,41}, {5,39}, {23,40}, {4,37}, {5,33}, {8,38}, {1,26}, {23,33}, {15,51}, {13,48}, {13,41}, {9,33}, {14,57}, {20,47}, {5,27}, {5,26}, {16,46}, {10,57}, {3,42}, {9,39}, {6,52}, {7,27}, {15,59}, {5,45}, {15,39}, {18,40}, {6,37}, {16,50}, {11,43}, {2,30}, {20,54}, {22,30}, {21,28}, {3,36}, {7,42}, {24,31}, {22,38} }; // ETB60.35 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[60][34]:={ {11,43}, {13,25}, {20,27}, {21,48}, {24,53}, {1,43}, {17,47}, {10,60}, {21,31}, {12,39}, {3,56}, {8,59}, {18,44}, {3,29}, {6,36}, {11,33}, {1,31}, {23,33}, {5,35}, {9,45}, {1,46}, {1,40}, {4,40}, {5,34}, {24,50}, {1,25}, {12,40}, {4,59}, {23,39}, {15,44}, {22,38}, {2,37}, {16,51}, {20,60}, {19,40}, {6,32}, {7,27}, {22,44}, {2,55}, {3,30}, {23,51}, {15,52}, {22,41}, {16,41}, {1,52}, {9,51}, {13,46}, {7,56}, {8,44}, {16,53}, {20,25}, {7,28}, {13,51}, {15,39}, {24,42}, {19,56}, {5,33}, {19,54}, {22,47}, {23,45}, {17,48}, {12,54}, {22,46}, {13,26}, {18,38}, {7,58}, {21,59}, {8,47}, {10,41}, {14,58}, {13,49}, {9,34}, {14,50}, {16,35}, {7,53}, {14,43}, {13,53}, {4,31}, {15,45}, {16,57}, {18,34}, {17,33}, {21,58}, {21,55}, {10,29}, {11,37}, {6,29}, {9,48}, {4,38}, {21,30}, {12,38}, {3,42}, {5,60}, {3,58}, {8,57}, {15,42}, {16,27}, {2,54}, {10,49}, {6,30}, {18,28}, {24,49}, {2,39}, {14,37}, {23,37}, {11,31}, {12,36}, {24,32}, {14,47}, {20,57}, {5,48}, {9,26}, {11,30}, {3,49}, {20,26}, {19,34}, {8,52}, {22,43}, {17,50}, {12,42}, {11,32}, {8,25}, {20,29}, {2,26}, {18,45}, {15,56}, {14,55}, {7,50}, {18,36}, {2,60}, {17,32}, {17,59}, {6,27}, {10,35}, {9,55}, {10,46}, {4,41}, {23,35}, {4,57}, {19,28}, {19,52}, {5,54}, {24,36}, {6,28} }; // ETB60.36 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[60][35]:={ {3,60}, {10,25}, {13,52}, {17,35}, {11,35}, {16,26}, {21,40}, {15,46}, {16,27}, {4,50}, {18,46}, {14,39}, {2,51}, {19,44}, {16,57}, {20,27}, {1,32}, {24,27}, {10,26}, {13,57}, {21,55}, {23,54}, {12,41}, {22,52}, {19,47}, {2,26}, {7,34}, {16,25}, {15,43}, {23,48}, {8,25}, {12,34}, {18,41}, {9,35}, {8,44}, {12,37}, {2,42}, {18,42}, {7,58}, {13,56}, {19,28}, {14,33}, {9,47}, {6,58}, {13,58}, {1,55}, {14,36}, {9,26}, {22,55}, {8,41}, {12,44}, {14,30}, {8,45}, {17,51}, {10,54}, {3,56}, {4,45}, {2,53}, {11,31}, {2,35}, {23,36}, {19,38}, {11,59}, {6,30}, {9,54}, {10,29}, {22,44}, {17,55}, {2,57}, {4,52}, {23,42}, {6,33}, {19,42}, {15,53}, {21,51}, {13,50}, {17,30}, {9,37}, {12,47}, {18,53}, {15,37}, {15,34}, {5,48}, {6,56}, {23,47}, {3,27}, {21,31}, {4,43}, {4,46}, {22,43}, {21,33}, {16,49}, {7,31}, {10,58}, {20,29}, {7,59}, {11,39}, {1,49}, {8,40}, {20,49}, {17,59}, {5,36}, {1,25}, {1,46}, {7,29}, {7,60}, {18,60}, {20,48}, {24,38}, {16,56}, {5,39}, {14,45}, {3,30}, {18,28}, {20,52}, {22,49}, {8,50}, {13,48}, {14,32}, {19,43}, {6,38}, {11,40}, {10,50}, {6,34}, {15,38}, {9,39}, {24,29}, {11,45}, {3,28}, {22,40}, {1,41}, {21,36}, {3,59}, {20,54}, {5,37}, {24,33}, {17,32}, {4,32}, {5,57}, {24,28}, {24,31}, {5,53}, {23,51}, {12,60} }; // ETB60.37 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[60][36]:={ {6,48}, {15,52}, {11,53}, {2,46}, {16,26}, {12,51}, {2,56}, {23,27}, {17,38}, {3,40}, {10,37}, {4,50}, {18,46}, {9,45}, {8,42}, {8,33}, {3,43}, {21,55}, {15,44}, {3,35}, {18,54}, {18,56}, {2,26}, {7,34}, {19,48}, {12,35}, {16,60}, {23,59}, {14,50}, {23,48}, {12,58}, {24,36}, {12,34}, {17,40}, {9,35}, {8,27}, {13,55}, {7,58}, {15,29}, {14,33}, {14,60}, {2,36}, {7,56}, {19,40}, {19,26}, {16,53}, {22,55}, {1,44}, {5,29}, {2,38}, {5,43}, {22,41}, {24,42}, {1,31}, {23,34}, {21,27}, {6,55}, {10,31}, {24,32}, {20,59}, {13,49}, {4,52}, {7,30}, {9,25}, {15,41}, {6,33}, {19,42}, {18,43}, {4,57}, {24,45}, {5,30}, {6,44}, {11,30}, {9,37}, {17,49}, {8,53}, {1,60}, {12,25}, {13,28}, {10,42}, {20,58}, {23,47}, {14,37}, {18,47}, {4,28}, {17,31}, {7,31}, {12,33}, {13,30}, {5,41}, {20,29}, {11,52}, {22,39}, {22,58}, {9,57}, {17,25}, {11,39}, {20,39}, {17,59}, {1,25}, {11,46}, {16,44}, {19,45}, {5,51}, {5,60}, {3,53}, {22,26}, {16,36}, {16,35}, {18,28}, {10,27}, {13,51}, {13,48}, {14,32}, {1,47}, {6,38}, {4,49}, {20,47}, {14,43}, {15,38}, {10,57}, {9,39}, {10,56}, {15,57}, {24,29}, {11,45}, {3,28}, {8,46}, {22,40}, {19,50}, {23,50}, {21,36}, {21,34}, {8,51}, {6,37}, {3,59}, {1,54}, {7,52}, {21,41}, {20,32}, {4,32}, {24,54}, {2,49}, {21,54} }; // ETB60.38 // Bipartite(24,36) Valencies [6,4] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[60][37]:={ {11,43}, {24,53}, {12,48}, {14,25}, {17,39}, {4,42}, {21,31}, {15,54}, {20,28}, {6,36}, {7,59}, {23,25}, {5,35}, {10,48}, {4,40}, {5,34}, {7,38}, {12,40}, {16,51}, {18,42}, {20,60}, {22,52}, {3,32}, {23,56}, {7,54}, {8,55}, {13,27}, {22,44}, {10,44}, {3,30}, {1,32}, {6,40}, {24,43}, {23,51}, {22,49}, {21,60}, {3,45}, {17,52}, {19,38}, {19,33}, {6,34}, {10,47}, {18,51}, {14,59}, {13,58}, {14,27}, {3,48}, {11,49}, {7,28}, {15,58}, {22,25}, {9,38}, {24,37}, {2,41}, {20,35}, {10,36}, {4,46}, {8,28}, {21,38}, {4,39}, {13,26}, {15,25}, {13,56}, {7,29}, {9,59}, {14,45}, {13,59}, {8,26}, {13,53}, {16,29}, {4,31}, {15,45}, {18,34}, {18,50}, {21,33}, {2,57}, {8,60}, {15,26}, {6,31}, {1,58}, {21,30}, {11,41}, {11,36}, {2,27}, {3,58}, {21,46}, {12,44}, {23,49}, {5,46}, {24,44}, {12,43}, {2,48}, {10,49}, {11,40}, {5,47}, {23,37}, {14,53}, {5,36}, {17,37}, {19,57}, {20,57}, {24,56}, {8,54}, {8,50}, {20,30}, {9,26}, {9,60}, {18,29}, {1,41}, {22,53}, {6,42}, {17,34}, {17,50}, {1,27}, {18,52}, {11,32}, {9,29}, {12,47}, {10,32}, {17,55}, {16,55}, {15,56}, {12,41}, {16,42}, {1,33}, {14,54}, {20,31}, {6,35}, {16,37}, {24,52}, {19,35}, {23,43}, {4,47}, {3,33}, {22,51}, {1,57}, {9,50}, {5,39}, {16,39}, {19,28}, {2,30}, {7,55}, {19,46}, {2,45} }; // ETB60.39 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 144 EdgesBipt[60][38]:={ {14,39}, {10,54}, {13,29}, {8,31}, {18,40}, {23,47}, {5,52}, {23,57}, {5,30}, {18,53}, {7,59}, {10,27}, {15,55}, {19,39}, {3,53}, {1,25}, {7,33}, {13,48}, {18,42}, {24,29}, {1,38}, {7,54}, {6,50}, {12,33}, {4,44}, {14,42}, {10,52}, {10,53}, {22,49}, {17,43}, {21,60}, {15,52}, {19,38}, {3,31}, {6,58}, {13,46}, {20,51}, {24,34}, {18,51}, {8,41}, {15,28}, {13,58}, {10,30}, {5,37}, {14,33}, {16,59}, {17,31}, {12,46}, {19,54}, {23,45}, {9,27}, {17,48}, {6,49}, {4,46}, {19,26}, {14,30}, {3,40}, {12,34}, {2,36}, {23,55}, {24,38}, {4,33}, {13,56}, {4,28}, {9,34}, {7,47}, {10,31}, {16,26}, {16,35}, {18,25}, {4,45}, {5,29}, {19,29}, {20,49}, {15,45}, {2,42}, {15,50}, {6,55}, {7,30}, {14,49}, {2,35}, {14,44}, {12,35}, {11,57}, {9,25}, {18,58}, {1,59}, {22,54}, {1,26}, {2,44}, {7,35}, {17,36}, {22,27}, {1,58}, {11,50}, {21,45}, {8,57}, {2,43}, {6,56}, {12,43}, {20,55}, {9,53}, {13,32}, {8,43}, {22,39}, {3,28}, {17,37}, {15,37}, {11,25}, {24,32}, {2,51}, {20,57}, {8,50}, {5,48}, {21,32}, {9,46}, {8,52}, {6,42}, {3,60}, {4,32}, {16,44}, {16,28}, {24,41}, {17,38}, {16,60}, {12,41}, {21,40}, {19,47}, {21,34}, {11,47}, {3,37}, {20,36}, {9,56}, {22,40}, {23,26}, {11,59}, {22,51}, {23,60}, {5,39}, {1,48}, {11,56}, {20,41}, {24,36}, {21,27} }; // ETB60.40 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][39]:={ {7,43}, {4,35}, {5,32}, {7,39}, {19,45}, {21,43}, {6,48}, {16,49}, {9,52}, {4,42}, {15,43}, {18,44}, {14,34}, {20,28}, {24,26}, {5,57}, {5,50}, {1,31}, {10,27}, {23,25}, {23,33}, {6,41}, {1,46}, {12,31}, {10,40}, {1,38}, {2,33}, {6,25}, {19,31}, {21,57}, {8,46}, {22,35}, {1,44}, {4,44}, {3,30}, {3,50}, {23,51}, {13,42}, {7,51}, {15,29}, {12,25}, {14,56}, {10,47}, {7,56}, {20,40}, {11,45}, {18,55}, {1,29}, {6,54}, {5,49}, {7,28}, {9,58}, {11,34}, {15,58}, {17,58}, {22,25}, {13,51}, {17,30}, {24,37}, {4,37}, {19,54}, {20,38}, {22,47}, {17,48}, {10,36}, {18,33}, {22,46}, {3,40}, {21,59}, {15,36}, {13,49}, {6,59}, {14,50}, {20,48}, {14,38}, {13,45}, {8,26}, {8,53}, {13,53}, {15,50}, {2,34}, {18,54}, {14,26}, {3,47}, {5,28}, {11,57}, {18,27}, {17,36}, {12,59}, {22,60}, {12,38}, {12,55}, {5,60}, {11,36}, {18,32}, {2,43}, {23,53}, {16,27}, {21,29}, {9,35}, {9,53}, {2,39}, {22,39}, {11,60}, {21,52}, {24,30}, {24,59}, {17,37}, {24,56}, {8,54}, {9,26}, {12,58}, {10,56}, {20,52}, {3,49}, {16,46}, {11,27}, {6,42}, {1,37}, {10,51}, {23,44}, {15,41}, {7,32}, {8,48}, {20,34}, {4,52}, {16,55}, {16,42}, {21,40}, {19,47}, {14,41}, {17,28}, {13,31}, {19,32}, {24,57}, {9,55}, {19,35}, {4,41}, {3,33}, {23,60}, {16,39}, {2,30}, {8,29}, {2,45} }; // ETB60.41 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 294912 EdgesBipt[60][40]:={ {14,39}, {11,43}, {7,48}, {20,27}, {5,32}, {24,33}, {6,48}, {10,54}, {12,49}, {2,38}, {21,31}, {4,58}, {3,56}, {21,39}, {9,42}, {10,57}, {3,46}, {13,54}, {1,25}, {4,59}, {20,60}, {22,57}, {18,37}, {16,56}, {7,27}, {13,27}, {14,42}, {24,43}, {17,42}, {21,44}, {22,49}, {17,52}, {15,29}, {9,31}, {16,33}, {17,44}, {24,55}, {7,56}, {15,28}, {16,59}, {22,25}, {17,53}, {9,38}, {12,46}, {17,30}, {15,34}, {22,47}, {23,45}, {10,36}, {7,41}, {11,53}, {8,28}, {4,39}, {1,36}, {16,47}, {13,26}, {21,51}, {6,46}, {18,38}, {6,33}, {8,47}, {9,34}, {4,28}, {15,49}, {1,50}, {4,53}, {5,51}, {14,50}, {21,50}, {18,25}, {13,59}, {14,43}, {15,35}, {6,37}, {8,58}, {5,29}, {19,29}, {13,47}, {3,27}, {2,34}, {6,55}, {10,33}, {2,40}, {12,28}, {4,36}, {7,52}, {11,51}, {9,54}, {18,58}, {1,59}, {23,29}, {7,35}, {23,42}, {18,35}, {6,52}, {12,38}, {8,57}, {24,44}, {5,45}, {20,55}, {22,39}, {1,49}, {19,58}, {13,55}, {11,31}, {20,32}, {21,52}, {23,31}, {15,37}, {11,48}, {2,51}, {20,57}, {24,35}, {8,50}, {10,56}, {11,30}, {3,44}, {19,34}, {22,53}, {24,41}, {2,26}, {18,45}, {16,60}, {19,41}, {12,41}, {14,40}, {3,37}, {9,32}, {2,60}, {8,30}, {20,36}, {10,26}, {3,43}, {14,48}, {19,25}, {23,26}, {16,32}, {17,40}, {23,60}, {1,30}, {5,40}, {12,45}, {19,46}, {5,54} }; // ETB60.42 // Bipartite(24,36) Valencies [6,4] // Diameter 12 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 213986410758144 EdgesBipt[60][41]:={ {17,57}, {15,52}, {10,25}, {22,60}, {6,32}, {11,36}, {11,35}, {5,34}, {12,51}, {3,40}, {10,37}, {18,32}, {22,37}, {8,43}, {16,47}, {7,55}, {24,27}, {7,54}, {17,34}, {12,39}, {23,60}, {16,59}, {24,51}, {18,56}, {23,59}, {23,48}, {3,52}, {2,41}, {8,44}, {17,46}, {8,31}, {2,54}, {2,42}, {14,54}, {15,29}, {10,48}, {1,38}, {1,50}, {19,54}, {20,55}, {9,26}, {19,30}, {9,27}, {18,57}, {15,40}, {14,30}, {17,58}, {24,39}, {2,53}, {7,43}, {20,31}, {5,58}, {17,33}, {23,36}, {21,27}, {11,59}, {4,47}, {21,26}, {24,52}, {13,49}, {4,59}, {14,53}, {9,50}, {16,58}, {7,30}, {4,35}, {15,41}, {23,35}, {18,44}, {19,42}, {6,33}, {15,53}, {20,44}, {21,51}, {13,50}, {6,44}, {19,55}, {5,46}, {12,28}, {11,60}, {14,42}, {13,25}, {6,56}, {8,56}, {19,31}, {23,47}, {14,41}, {9,51}, {20,43}, {18,33}, {3,29}, {4,46}, {10,60}, {21,38}, {7,31}, {24,40}, {21,39}, {12,27}, {22,25}, {8,32}, {1,49}, {12,40}, {1,25}, {4,58}, {21,50}, {1,37}, {16,34}, {13,26}, {3,53}, {5,33}, {2,29}, {16,35}, {6,45}, {1,26}, {22,49}, {4,34}, {10,36}, {19,43}, {10,49}, {12,52}, {22,48}, {11,47}, {8,55}, {16,46}, {18,45}, {15,28}, {9,39}, {13,38}, {9,38}, {17,45}, {11,48}, {3,28}, {13,37}, {5,45}, {3,41}, {20,56}, {2,30}, {22,36}, {7,42}, {20,32}, {5,57}, {6,57}, {24,28}, {14,29} }; // ETB60.43 // Bipartite(24,36) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 104485552128 EdgesBipt[60][42]:={ {14,39}, {11,43}, {22,59}, {13,41}, {20,27}, {19,45}, {10,54}, {24,53}, {13,29}, {14,25}, {16,36}, {2,38}, {10,60}, {4,58}, {21,39}, {23,47}, {18,44}, {5,52}, {23,57}, {11,55}, {23,33}, {1,40}, {10,48}, {1,25}, {15,44}, {7,33}, {24,29}, {6,32}, {15,40}, {8,46}, {7,45}, {22,35}, {8,42}, {16,48}, {15,52}, {8,34}, {19,38}, {19,33}, {1,52}, {3,31}, {20,51}, {3,51}, {15,32}, {3,55}, {15,28}, {10,30}, {14,27}, {11,49}, {24,40}, {6,43}, {9,38}, {12,46}, {13,44}, {22,47}, {23,45}, {17,48}, {10,36}, {7,41}, {4,46}, {18,59}, {19,26}, {21,51}, {2,50}, {20,58}, {12,34}, {4,33}, {13,56}, {7,29}, {16,26}, {7,53}, {8,58}, {4,45}, {18,56}, {13,53}, {2,42}, {3,27}, {6,55}, {14,51}, {14,49}, {5,28}, {12,35}, {11,37}, {17,36}, {17,49}, {12,59}, {18,35}, {6,31}, {21,30}, {5,60}, {18,32}, {6,56}, {2,54}, {9,53}, {13,32}, {14,37}, {1,49}, {11,31}, {23,59}, {5,36}, {17,37}, {11,25}, {19,57}, {21,54}, {8,54}, {5,48}, {9,26}, {12,58}, {16,50}, {22,43}, {3,39}, {1,37}, {10,42}, {9,29}, {12,47}, {22,55}, {24,41}, {2,26}, {20,34}, {15,56}, {16,60}, {18,47}, {1,28}, {21,42}, {9,41}, {20,39}, {16,38}, {8,30}, {6,44}, {3,43}, {24,52}, {4,34}, {20,46}, {17,60}, {22,31}, {23,35}, {4,57}, {19,50}, {9,50}, {2,30}, {5,40}, {17,25}, {24,28}, {7,57}, {21,27} }; // ETB60.44 // Bipartite(24,36) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1671768834048 EdgesBipt[60][43]:={ {22,59}, {20,27}, {21,43}, {11,44}, {8,39}, {22,32}, {17,39}, {2,38}, {21,31}, {15,43}, {3,29}, {17,27}, {24,26}, {10,57}, {5,57}, {8,51}, {18,39}, {8,36}, {15,55}, {6,41}, {11,29}, {4,40}, {13,57}, {3,53}, {24,50}, {1,25}, {4,49}, {2,37}, {13,34}, {10,40}, {23,56}, {1,56}, {15,40}, {22,35}, {1,44}, {22,44}, {14,42}, {22,56}, {1,32}, {24,43}, {10,52}, {15,52}, {17,52}, {19,38}, {20,42}, {16,41}, {10,45}, {13,46}, {20,51}, {18,51}, {24,55}, {15,28}, {13,58}, {3,48}, {6,54}, {16,53}, {3,41}, {6,53}, {12,30}, {14,33}, {5,33}, {4,37}, {22,47}, {23,32}, {13,33}, {11,53}, {12,54}, {19,26}, {2,50}, {14,30}, {7,58}, {23,55}, {24,38}, {4,28}, {16,26}, {7,25}, {9,59}, {14,45}, {13,45}, {16,29}, {24,31}, {18,34}, {10,33}, {7,49}, {12,35}, {21,58}, {18,58}, {4,25}, {21,55}, {17,51}, {6,29}, {18,27}, {8,60}, {9,48}, {12,59}, {11,41}, {5,60}, {21,46}, {15,31}, {6,30}, {10,28}, {9,35}, {5,45}, {8,27}, {18,46}, {1,49}, {5,36}, {23,31}, {2,49}, {20,30}, {5,48}, {9,60}, {3,60}, {6,42}, {16,50}, {1,37}, {12,42}, {9,47}, {11,32}, {23,44}, {12,47}, {2,26}, {7,46}, {8,48}, {4,52}, {7,37}, {14,57}, {20,54}, {2,25}, {19,47}, {3,36}, {21,34}, {14,54}, {20,39}, {16,38}, {17,28}, {9,36}, {19,35}, {23,43}, {7,34}, {17,40}, {19,50}, {19,59}, {11,56} }; // ETB60.45 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 301989888 EdgesBipt[60][44]:={ {22,59}, {7,48}, {7,39}, {11,58}, {24,53}, {13,29}, {22,32}, {1,43}, {12,26}, {12,39}, {18,44}, {14,34}, {23,57}, {8,51}, {16,30}, {12,57}, {23,25}, {10,38}, {19,60}, {10,48}, {1,25}, {23,39}, {18,42}, {24,29}, {12,33}, {22,44}, {1,32}, {9,37}, {20,43}, {16,48}, {21,60}, {17,54}, {13,38}, {22,41}, {3,34}, {11,54}, {9,51}, {6,34}, {10,30}, {14,27}, {5,37}, {5,49}, {20,25}, {24,40}, {20,59}, {2,41}, {24,58}, {8,33}, {18,60}, {4,39}, {6,46}, {3,40}, {13,56}, {12,51}, {1,50}, {10,31}, {4,29}, {5,55}, {14,45}, {7,53}, {8,58}, {5,29}, {17,46}, {20,49}, {15,45}, {13,47}, {4,36}, {7,30}, {15,33}, {2,35}, {2,53}, {22,50}, {8,40}, {17,36}, {7,35}, {6,52}, {9,33}, {3,52}, {2,27}, {11,36}, {21,45}, {3,58}, {19,53}, {12,44}, {1,60}, {6,56}, {10,49}, {6,38}, {13,32}, {14,37}, {8,43}, {11,40}, {9,28}, {5,47}, {13,50}, {3,26}, {5,31}, {15,51}, {19,42}, {21,54}, {11,48}, {24,35}, {1,42}, {2,59}, {10,56}, {11,30}, {21,36}, {9,46}, {3,44}, {16,50}, {4,54}, {17,41}, {15,27}, {22,26}, {8,25}, {14,52}, {24,47}, {15,38}, {16,55}, {15,56}, {14,55}, {18,49}, {18,31}, {21,42}, {20,31}, {17,59}, {17,28}, {16,37}, {23,34}, {9,55}, {19,35}, {23,43}, {4,47}, {16,32}, {4,57}, {19,28}, {18,26}, {19,46}, {20,41}, {2,45}, {6,28}, {7,57}, {21,27}, {23,52} }; // ETB60.46 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 301989888 EdgesBipt[60][45]:={ {17,57}, {2,44}, {9,58}, {3,33}, {3,60}, {4,27}, {13,40}, {21,48}, {18,29}, {12,51}, {4,56}, {14,39}, {7,55}, {22,46}, {24,55}, {8,52}, {12,41}, {15,44}, {21,42}, {22,52}, {2,26}, {7,34}, {16,25}, {15,54}, {16,60}, {23,59}, {24,36}, {5,32}, {18,58}, {23,44}, {11,28}, {16,43}, {21,52}, {6,29}, {23,32}, {4,38}, {6,47}, {15,56}, {5,40}, {11,33}, {9,48}, {13,58}, {5,50}, {24,37}, {22,34}, {8,41}, {8,47}, {24,43}, {2,37}, {14,30}, {11,51}, {22,56}, {17,39}, {15,26}, {1,31}, {19,53}, {4,45}, {2,53}, {10,28}, {20,31}, {5,58}, {2,35}, {24,25}, {19,38}, {23,26}, {4,33}, {9,54}, {23,41}, {1,59}, {3,51}, {13,49}, {14,53}, {13,31}, {14,48}, {16,32}, {20,44}, {17,27}, {17,49}, {18,53}, {13,28}, {18,47}, {10,46}, {3,29}, {1,43}, {15,36}, {17,31}, {12,33}, {12,59}, {9,40}, {1,49}, {12,30}, {20,49}, {11,55}, {10,32}, {21,30}, {1,25}, {22,28}, {11,46}, {20,60}, {6,54}, {19,56}, {9,30}, {10,39}, {13,46}, {6,36}, {8,34}, {20,26}, {11,37}, {4,51}, {19,43}, {20,42}, {10,50}, {14,57}, {9,36}, {16,42}, {5,27}, {15,38}, {19,25}, {21,60}, {10,57}, {3,42}, {12,48}, {17,45}, {7,27}, {7,45}, {14,35}, {1,41}, {5,45}, {23,50}, {21,34}, {18,40}, {6,39}, {2,55}, {3,47}, {19,35}, {16,50}, {7,37}, {7,52}, {18,35}, {8,59}, {8,29}, {24,54}, {6,57}, {22,38} }; // ETB60.47 // Bipartite(24,36) Valencies [6,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4246732800 EdgesBipt[60][46]:={ {3,60}, {17,35}, {17,44}, {17,36}, {2,46}, {16,26}, {18,29}, {4,26}, {21,40}, {16,40}, {14,51}, {2,51}, {16,47}, {12,32}, {7,55}, {8,28}, {18,50}, {1,27}, {8,52}, {3,58}, {3,37}, {15,48}, {18,56}, {14,31}, {24,30}, {7,34}, {15,47}, {9,53}, {12,34}, {8,44}, {17,46}, {13,29}, {12,37}, {2,54}, {11,50}, {23,39}, {15,60}, {14,54}, {21,52}, {6,29}, {23,32}, {4,38}, {11,38}, {10,48}, {14,60}, {7,56}, {20,55}, {7,57}, {24,37}, {11,49}, {11,51}, {4,42}, {22,41}, {9,41}, {1,31}, {10,41}, {7,43}, {22,27}, {24,25}, {4,47}, {9,54}, {24,32}, {2,57}, {1,29}, {13,31}, {4,35}, {19,42}, {6,50}, {20,44}, {5,30}, {17,30}, {19,55}, {5,46}, {18,53}, {15,37}, {12,25}, {13,25}, {6,56}, {20,28}, {13,28}, {20,58}, {1,28}, {24,34}, {23,38}, {22,43}, {16,38}, {21,33}, {12,33}, {10,43}, {9,40}, {22,39}, {18,59}, {8,58}, {11,39}, {5,44}, {12,30}, {20,49}, {5,36}, {1,25}, {19,56}, {13,27}, {10,39}, {23,49}, {13,26}, {4,40}, {16,35}, {20,52}, {10,27}, {6,45}, {1,26}, {10,36}, {3,48}, {11,32}, {19,43}, {21,53}, {2,31}, {9,33}, {16,42}, {14,57}, {22,48}, {8,55}, {8,49}, {18,45}, {17,45}, {9,52}, {15,59}, {5,45}, {23,50}, {6,59}, {14,46}, {3,47}, {19,57}, {6,53}, {3,59}, {19,34}, {5,35}, {22,36}, {2,60}, {21,41}, {24,33}, {7,42}, {15,58}, {21,54}, {23,51} }; // ETB60.48 // Bipartite(24,36) Valencies [6,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 589824 EdgesBipt[60][47]:={ {15,52}, {22,60}, {11,36}, {12,51}, {21,40}, {4,50}, {22,53}, {16,47}, {19,44}, {20,27}, {9,55}, {4,29}, {3,45}, {20,40}, {7,44}, {9,44}, {12,39}, {21,55}, {8,52}, {22,42}, {16,59}, {18,54}, {15,48}, {24,51}, {14,31}, {7,51}, {3,52}, {8,25}, {9,53}, {24,36}, {18,41}, {1,30}, {23,43}, {5,32}, {18,58}, {8,27}, {16,29}, {10,53}, {24,60}, {15,45}, {19,33}, {4,38}, {15,56}, {21,46}, {7,57}, {6,58}, {15,32}, {22,34}, {18,57}, {12,36}, {5,29}, {12,49}, {22,35}, {14,30}, {22,56}, {24,39}, {3,56}, {23,34}, {17,33}, {23,36}, {21,44}, {4,47}, {6,43}, {23,26}, {4,59}, {2,48}, {16,37}, {3,32}, {23,37}, {15,50}, {14,48}, {18,43}, {14,55}, {14,47}, {12,28}, {1,45}, {24,49}, {13,25}, {13,54}, {8,35}, {10,42}, {19,31}, {20,58}, {3,50}, {16,38}, {10,60}, {5,28}, {21,38}, {5,42}, {7,31}, {13,30}, {5,41}, {17,28}, {9,40}, {18,59}, {8,58}, {8,40}, {14,49}, {1,39}, {20,25}, {17,29}, {19,51}, {1,25}, {11,46}, {6,54}, {17,41}, {6,41}, {20,35}, {4,37}, {11,26}, {13,26}, {10,35}, {5,33}, {11,37}, {20,52}, {1,26}, {23,46}, {3,48}, {10,34}, {2,47}, {21,53}, {2,31}, {9,38}, {10,56}, {7,27}, {6,59}, {9,46}, {2,55}, {7,33}, {17,42}, {11,34}, {13,39}, {16,50}, {11,43}, {19,57}, {2,30}, {13,45}, {1,54}, {17,32}, {19,27}, {6,57}, {24,28}, {2,49}, {12,60} }; // ETB60.49 // Bipartite(30,30) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[60][48]:={ {6,48}, {8,48}, {22,60}, {17,44}, {11,35}, {21,48}, {9,60}, {12,51}, {25,51}, {4,50}, {16,40}, {21,32}, {17,53}, {2,51}, {25,56}, {12,32}, {29,33}, {18,38}, {16,31}, {27,47}, {21,37}, {22,46}, {28,60}, {1,40}, {14,38}, {21,55}, {23,54}, {25,33}, {22,52}, {12,42}, {13,53}, {3,58}, {12,55}, {5,47}, {26,59}, {9,43}, {3,37}, {19,47}, {7,36}, {23,48}, {13,47}, {24,36}, {18,41}, {5,32}, {29,39}, {18,58}, {2,42}, {10,53}, {14,54}, {30,59}, {7,58}, {2,45}, {23,32}, {3,34}, {22,45}, {11,33}, {20,50}, {14,33}, {27,54}, {10,47}, {17,37}, {28,47}, {25,53}, {25,36}, {15,40}, {12,36}, {1,44}, {4,41}, {2,38}, {24,43}, {29,36}, {2,52}, {17,51}, {8,45}, {7,39}, {30,48}, {7,32}, {29,53}, {1,31}, {10,41}, {23,34}, {7,49}, {11,31}, {20,31}, {21,44}, {19,38}, {28,54}, {10,59}, {20,33}, {18,49}, {9,54}, {27,31}, {15,42}, {26,35}, {17,43}, {23,37}, {6,33}, {14,48}, {15,50}, {4,57}, {30,35}, {13,44}, {21,51}, {19,41}, {9,37}, {26,52}, {5,49}, {24,49}, {8,56}, {6,56}, {14,58}, {20,45}, {4,55}, {3,50}, {23,58}, {28,57}, {1,43}, {4,46}, {15,36}, {24,56}, {27,42}, {24,40}, {11,54}, {18,52}, {13,60}, {6,51}, {16,45}, {22,39}, {26,55}, {9,57}, {5,31}, {1,49}, {5,44}, {30,40}, {8,40}, {20,39}, {24,57}, {28,42}, {11,46}, {26,41}, {20,46}, {19,56}, {27,32}, {22,59}, {1,35}, {19,49}, {16,34}, {5,39}, {4,37}, {3,53}, {17,60}, {25,43}, {8,34}, {6,45}, {10,34}, {30,55}, {6,38}, {16,42}, {12,52}, {29,50}, {30,44}, {28,38}, {10,56}, {15,57}, {14,35}, {29,58}, {3,41}, {26,46}, {13,59}, {9,46}, {13,39}, {16,50}, {11,43}, {19,57}, {27,34}, {7,52}, {2,60}, {15,55}, {18,35}, {8,59} }; // ETB60.50 // Bipartite(30,30) Valencies [6,6] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 1440 EdgesBipt[60][49]:={ {17,57}, {16,41}, {30,60}, {28,52}, {17,36}, {21,48}, {13,40}, {18,48}, {9,60}, {24,48}, {2,56}, {25,51}, {10,37}, {29,60}, {8,43}, {16,57}, {29,33}, {16,31}, {15,31}, {24,55}, {1,32}, {7,44}, {17,34}, {5,56}, {30,52}, {23,55}, {22,42}, {25,33}, {9,49}, {3,35}, {28,32}, {21,35}, {29,59}, {9,43}, {19,47}, {26,33}, {19,48}, {7,51}, {15,54}, {12,35}, {26,53}, {10,44}, {24,36}, {12,34}, {5,32}, {8,44}, {17,46}, {29,39}, {12,37}, {12,50}, {11,50}, {18,34}, {23,39}, {21,52}, {2,45}, {4,38}, {22,45}, {5,40}, {20,50}, {1,38}, {7,57}, {6,58}, {13,58}, {10,47}, {19,59}, {11,49}, {12,49}, {23,45}, {14,40}, {22,41}, {24,39}, {24,42}, {3,56}, {26,40}, {8,60}, {11,44}, {23,36}, {27,58}, {23,41}, {10,31}, {6,49}, {20,59}, {14,53}, {30,39}, {17,43}, {30,42}, {13,31}, {19,52}, {2,32}, {18,43}, {15,53}, {14,55}, {19,41}, {9,37}, {5,49}, {15,34}, {1,45}, {25,58}, {27,53}, {13,54}, {6,56}, {3,50}, {9,51}, {18,36}, {10,46}, {16,48}, {18,31}, {29,32}, {27,42}, {25,40}, {8,57}, {16,51}, {7,59}, {5,44}, {22,33}, {28,33}, {14,34}, {25,57}, {22,54}, {28,42}, {11,46}, {4,58}, {20,60}, {25,42}, {29,56}, {17,41}, {21,50}, {13,46}, {1,35}, {4,37}, {14,45}, {4,40}, {10,35}, {23,33}, {2,47}, {26,57}, {30,38}, {1,47}, {6,38}, {18,51}, {20,47}, {20,36}, {3,55}, {11,47}, {22,48}, {8,49}, {21,60}, {16,46}, {28,38}, {27,51}, {3,38}, {26,39}, {9,52}, {20,41}, {27,39}, {27,43}, {21,36}, {3,54}, {2,55}, {14,46}, {30,56}, {12,31}, {6,37}, {26,43}, {11,34}, {19,35}, {6,53}, {13,45}, {7,37}, {1,54}, {7,52}, {28,59}, {15,55}, {4,44}, {8,59}, {4,32}, {24,54}, {5,53}, {15,58}, {2,50} }; // ETB60.51 // Bipartite(30,30) Valencies [6,6] // Diameter 10 Girth 4 // Has twins VT AT // Automorphism group of order 146246337602519040 EdgesBipt[60][50]:={ {6,48}, {13,52}, {13,32}, {30,60}, {17,35}, {29,49}, {12,51}, {21,40}, {18,46}, {17,53}, {8,43}, {5,38}, {2,51}, {12,32}, {7,55}, {25,38}, {8,33}, {20,40}, {1,40}, {23,54}, {12,41}, {22,42}, {9,49}, {22,52}, {12,42}, {5,47}, {29,59}, {15,48}, {18,56}, {22,32}, {11,41}, {15,47}, {24,44}, {3,52}, {27,33}, {2,41}, {29,39}, {11,50}, {2,42}, {28,43}, {23,44}, {14,54}, {30,59}, {23,52}, {23,32}, {28,56}, {3,34}, {20,50}, {26,45}, {1,50}, {6,58}, {24,37}, {19,59}, {29,36}, {2,52}, {11,51}, {22,41}, {1,31}, {23,34}, {7,43}, {11,31}, {5,58}, {17,33}, {1,51}, {3,44}, {10,59}, {6,55}, {4,47}, {17,55}, {20,59}, {28,53}, {22,51}, {26,35}, {26,48}, {30,39}, {10,40}, {17,43}, {16,58}, {7,53}, {3,32}, {23,42}, {24,47}, {8,36}, {2,32}, {25,48}, {18,43}, {4,57}, {13,44}, {21,51}, {14,47}, {9,56}, {8,53}, {1,60}, {18,53}, {15,37}, {11,60}, {25,58}, {27,53}, {5,48}, {13,54}, {8,56}, {26,38}, {24,34}, {14,37}, {4,54}, {18,36}, {21,31}, {18,33}, {16,48}, {16,38}, {10,60}, {25,37}, {19,46}, {25,47}, {16,45}, {27,55}, {26,55}, {28,36}, {30,40}, {28,33}, {27,45}, {20,39}, {20,49}, {14,34}, {24,57}, {25,57}, {20,60}, {29,56}, {19,56}, {19,36}, {22,31}, {10,39}, {21,50}, {19,49}, {13,42}, {4,37}, {29,46}, {16,35}, {6,45}, {14,44}, {4,34}, {30,50}, {26,58}, {19,39}, {10,49}, {6,38}, {2,31}, {10,50}, {11,40}, {14,57}, {9,36}, {12,52}, {28,46}, {27,35}, {15,38}, {21,60}, {3,42}, {9,39}, {17,45}, {15,57}, {7,45}, {8,46}, {1,41}, {27,43}, {30,49}, {3,54}, {9,46}, {7,33}, {12,31}, {13,34}, {7,35}, {9,59}, {5,37}, {21,41}, {6,35}, {4,44}, {5,57}, {24,54}, {16,55}, {15,58} }; // ETB60.52 // Bipartite(30,30) Valencies [6,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7255941120 EdgesBipt[60][51]:={ {2,44}, {13,32}, {25,31}, {18,39}, {11,36}, {21,48}, {13,40}, {5,34}, {24,48}, {12,51}, {3,40}, {4,50}, {14,51}, {18,46}, {30,45}, {26,47}, {2,51}, {16,47}, {30,33}, {28,45}, {29,33}, {15,31}, {21,37}, {7,54}, {30,54}, {30,52}, {23,55}, {12,41}, {22,52}, {10,33}, {25,50}, {28,49}, {5,47}, {9,43}, {24,51}, {29,57}, {8,39}, {15,47}, {29,41}, {14,50}, {2,41}, {29,42}, {17,46}, {21,49}, {13,55}, {23,44}, {24,60}, {16,43}, {7,58}, {13,56}, {23,32}, {19,33}, {6,47}, {20,38}, {11,38}, {1,38}, {4,60}, {27,54}, {14,60}, {2,36}, {10,38}, {6,58}, {17,37}, {5,50}, {25,53}, {18,57}, {12,36}, {11,49}, {10,52}, {2,52}, {12,44}, {7,46}, {14,40}, {8,45}, {22,41}, {17,58}, {9,41}, {7,32}, {10,54}, {3,56}, {1,31}, {11,31}, {3,44}, {2,59}, {25,34}, {20,33}, {6,55}, {6,43}, {18,49}, {27,58}, {22,44}, {9,34}, {9,42}, {28,53}, {22,51}, {26,35}, {29,34}, {16,58}, {3,32}, {4,35}, {23,42}, {15,50}, {14,48}, {19,42}, {15,53}, {13,44}, {27,46}, {19,41}, {4,48}, {8,53}, {18,53}, {15,34}, {20,45}, {21,31}, {10,45}, {28,57}, {21,38}, {24,35}, {24,40}, {17,54}, {8,57}, {12,59}, {25,47}, {26,55}, {25,59}, {9,57}, {5,31}, {1,49}, {5,59}, {27,32}, {7,60}, {22,59}, {13,42}, {27,60}, {1,37}, {23,40}, {28,39}, {4,40}, {17,60}, {11,37}, {4,51}, {16,35}, {20,52}, {26,58}, {23,56}, {19,43}, {30,38}, {9,33}, {12,52}, {28,46}, {3,55}, {8,49}, {18,45}, {3,42}, {16,39}, {10,56}, {27,37}, {26,39}, {11,48}, {8,46}, {14,35}, {15,59}, {21,36}, {1,48}, {6,39}, {30,56}, {26,43}, {20,56}, {19,57}, {20,54}, {19,34}, {7,37}, {22,36}, {29,43}, {6,35}, {17,32}, {24,50}, {1,36}, {16,55}, {5,53} }; // ETB60.53 // Bipartite(30,30) Valencies [6,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 237762678620160 EdgesBipt[60][52]:={ {16,41}, {13,32}, {30,60}, {11,36}, {29,51}, {29,40}, {5,34}, {2,56}, {18,32}, {12,56}, {4,50}, {26,31}, {22,37}, {30,45}, {7,48}, {8,42}, {29,33}, {15,49}, {16,31}, {27,48}, {18,50}, {9,55}, {24,55}, {23,54}, {12,41}, {22,42}, {15,44}, {22,52}, {12,42}, {28,32}, {19,48}, {23,59}, {26,53}, {30,53}, {14,50}, {15,43}, {27,33}, {2,41}, {13,47}, {29,48}, {28,35}, {12,37}, {2,42}, {23,39}, {23,44}, {10,53}, {24,60}, {18,42}, {7,58}, {23,32}, {19,33}, {20,38}, {6,31}, {21,46}, {4,60}, {14,60}, {9,48}, {10,38}, {19,40}, {17,37}, {28,47}, {16,53}, {18,57}, {8,47}, {2,37}, {29,36}, {2,52}, {5,43}, {11,51}, {14,40}, {22,41}, {28,50}, {17,58}, {22,56}, {1,31}, {4,45}, {7,43}, {11,31}, {22,57}, {30,34}, {5,58}, {17,33}, {1,51}, {3,44}, {25,34}, {27,58}, {2,57}, {17,43}, {3,39}, {3,32}, {4,35}, {24,45}, {13,44}, {14,55}, {21,51}, {19,55}, {6,46}, {5,49}, {15,34}, {17,48}, {25,58}, {13,54}, {6,56}, {26,38}, {8,35}, {20,45}, {4,55}, {27,52}, {26,56}, {23,47}, {18,47}, {9,51}, {21,31}, {10,45}, {28,57}, {16,38}, {10,60}, {24,35}, {17,52}, {24,40}, {11,54}, {12,57}, {21,39}, {8,57}, {9,40}, {8,32}, {25,59}, {11,39}, {5,44}, {5,59}, {20,49}, {1,39}, {19,51}, {28,42}, {1,46}, {11,46}, {20,60}, {25,49}, {26,41}, {19,36}, {6,41}, {16,56}, {14,45}, {4,40}, {25,43}, {20,34}, {10,34}, {8,50}, {10,49}, {30,38}, {6,38}, {9,33}, {9,36}, {12,52}, {16,46}, {27,37}, {20,53}, {14,35}, {15,59}, {27,43}, {21,36}, {30,49}, {26,46}, {3,54}, {13,59}, {7,33}, {3,47}, {13,39}, {6,53}, {3,59}, {7,37}, {1,54}, {7,52}, {18,35}, {29,55}, {24,50}, {25,44}, {1,36}, {15,58}, {21,54} }; // ETB60.54 // Bipartite(30,30) Valencies [6,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11796480 EdgesBipt[60][53]:={ {2,44}, {8,48}, {16,41}, {28,58}, {6,32}, {17,44}, {17,35}, {11,56}, {24,48}, {17,47}, {4,50}, {18,46}, {21,32}, {21,47}, {4,56}, {26,47}, {9,45}, {25,38}, {28,45}, {29,33}, {16,31}, {3,43}, {17,34}, {12,39}, {21,55}, {23,60}, {22,52}, {12,42}, {13,53}, {28,49}, {29,59}, {9,43}, {24,51}, {7,51}, {29,41}, {23,48}, {29,48}, {8,44}, {21,49}, {12,50}, {23,44}, {18,42}, {14,54}, {7,58}, {21,52}, {19,33}, {6,47}, {15,56}, {29,52}, {3,46}, {14,33}, {2,34}, {26,45}, {9,48}, {10,38}, {13,58}, {9,32}, {15,32}, {16,53}, {25,36}, {15,40}, {24,43}, {28,34}, {5,43}, {22,35}, {26,60}, {10,54}, {1,31}, {8,60}, {30,34}, {5,58}, {2,35}, {1,51}, {2,59}, {20,33}, {6,55}, {4,33}, {27,31}, {25,54}, {6,49}, {15,42}, {24,32}, {13,49}, {28,53}, {18,55}, {22,51}, {16,37}, {29,54}, {30,42}, {7,50}, {26,37}, {15,41}, {14,48}, {18,43}, {24,45}, {20,44}, {18,53}, {11,60}, {15,34}, {20,58}, {26,56}, {14,41}, {23,38}, {9,51}, {20,43}, {4,46}, {30,32}, {17,31}, {27,42}, {11,54}, {12,57}, {25,35}, {10,55}, {4,36}, {14,59}, {21,39}, {16,51}, {19,46}, {22,58}, {9,57}, {18,59}, {5,44}, {30,40}, {8,40}, {30,41}, {26,54}, {20,39}, {24,57}, {25,57}, {17,59}, {1,53}, {19,56}, {19,36}, {25,55}, {19,49}, {27,60}, {1,37}, {5,39}, {22,50}, {20,37}, {23,40}, {3,53}, {10,35}, {16,36}, {5,33}, {11,37}, {8,38}, {23,46}, {10,36}, {27,57}, {2,47}, {4,49}, {2,31}, {14,52}, {3,55}, {11,47}, {10,57}, {3,42}, {28,38}, {13,38}, {6,52}, {11,45}, {8,46}, {22,40}, {1,41}, {27,39}, {19,50}, {6,39}, {30,56}, {12,31}, {13,34}, {7,35}, {3,59}, {13,45}, {7,52}, {5,37}, {27,50}, {7,40}, {1,36}, {12,60} }; // ETB60.55 // Bipartite(30,30) Valencies [6,6] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 1546188226560 EdgesBipt[60][54]:={ {16,41}, {29,45}, {6,32}, {2,33}, {29,40}, {13,40}, {1,56}, {22,37}, {21,32}, {29,60}, {21,47}, {4,56}, {8,43}, {25,56}, {12,32}, {30,33}, {21,58}, {27,47}, {18,50}, {22,46}, {20,57}, {28,48}, {17,34}, {14,38}, {9,44}, {4,31}, {22,52}, {3,35}, {12,55}, {5,47}, {3,37}, {13,35}, {15,48}, {28,55}, {21,43}, {7,51}, {7,36}, {24,44}, {3,52}, {9,53}, {23,43}, {5,32}, {28,35}, {2,54}, {21,49}, {13,55}, {25,60}, {16,43}, {18,37}, {6,47}, {2,34}, {26,45}, {14,60}, {1,50}, {19,54}, {6,58}, {4,41}, {12,46}, {11,49}, {7,46}, {14,40}, {28,50}, {30,48}, {2,39}, {26,60}, {17,39}, {29,53}, {24,39}, {10,41}, {27,40}, {17,33}, {23,36}, {3,44}, {6,43}, {9,54}, {27,31}, {6,49}, {15,42}, {25,41}, {20,59}, {14,53}, {2,48}, {22,51}, {16,58}, {30,42}, {26,37}, {18,44}, {13,33}, {8,36}, {30,36}, {20,44}, {14,55}, {13,50}, {27,46}, {19,41}, {12,47}, {17,49}, {8,53}, {26,52}, {11,60}, {17,48}, {1,58}, {29,38}, {10,42}, {19,31}, {23,38}, {3,50}, {25,45}, {4,54}, {10,45}, {23,58}, {26,34}, {1,43}, {4,46}, {10,60}, {15,36}, {5,42}, {7,31}, {18,52}, {17,54}, {28,40}, {23,53}, {19,46}, {11,52}, {27,55}, {18,59}, {8,58}, {5,44}, {28,33}, {12,40}, {5,59}, {25,57}, {25,42}, {19,56}, {27,32}, {22,31}, {1,35}, {24,38}, {16,56}, {14,45}, {11,37}, {16,35}, {8,38}, {15,51}, {13,48}, {15,33}, {19,39}, {24,53}, {20,42}, {20,47}, {6,34}, {10,57}, {9,39}, {9,38}, {10,56}, {15,57}, {11,45}, {1,41}, {21,34}, {30,51}, {8,51}, {12,31}, {11,34}, {30,57}, {16,50}, {3,59}, {7,37}, {22,36}, {9,59}, {7,52}, {26,49}, {4,39}, {18,35}, {29,55}, {20,32}, {5,57}, {24,54}, {2,49}, {23,51}, {24,59} }; // ETB60.56 // Bipartite(12,48) Valencies [8,2] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 82944 EdgesBipt[60][55]:={ {11,43}, {12,48}, {3,15}, {1,43}, {8,24}, {4,60}, {6,36}, {5,50}, {5,57}, {11,33}, {1,31}, {1,40}, {3,54}, {4,59}, {12,40}, {5,41}, {8,55}, {6,25}, {9,39}, {7,45}, {11,38}, {12,27}, {3,45}, {3,34}, {12,25}, {1,52}, {6,34}, {8,41}, {10,30}, {12,30}, {11,53}, {2,16}, {2,50}, {7,58}, {8,21}, {4,28}, {10,39}, {12,51}, {6,59}, {2,13}, {4,29}, {10,37}, {5,19}, {7,20}, {8,35}, {3,23}, {11,46}, {7,14}, {4,31}, {2,42}, {12,28}, {9,54}, {4,15}, {2,53}, {7,35}, {8,60}, {9,48}, {4,38}, {2,24}, {9,33}, {5,22}, {3,52}, {6,19}, {11,36}, {6,56}, {8,27}, {7,18}, {7,44}, {4,22}, {5,47}, {3,26}, {5,17}, {2,49}, {10,55}, {8,23}, {2,51}, {11,21}, {6,20}, {10,56}, {12,58}, {3,49}, {10,17}, {6,42}, {1,37}, {9,47}, {11,32}, {1,13}, {9,29}, {10,32}, {7,46}, {9,14}, {10,26}, {9,16}, {5,44}, {1,57}, {1,18} }; // ETB60.57 // Bipartite(12,48) Valencies [8,2] // Diameter 12 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 876488338465357824 EdgesBipt[60][56]:={ {6,56}, {1,26}, {5,33}, {12,27}, {8,19}, {3,40}, {4,23}, {1,50}, {1,14}, {8,20}, {4,47}, {8,31}, {6,33}, {2,30}, {4,58}, {2,29}, {4,34}, {6,45}, {7,31}, {1,37}, {11,47}, {11,24}, {12,16}, {11,60}, {10,48}, {9,38}, {7,55}, {9,15}, {10,36}, {11,23}, {12,40}, {5,46}, {11,48}, {3,29}, {6,32}, {7,30}, {8,32}, {5,21}, {8,44}, {1,38}, {8,43}, {10,13}, {7,43}, {10,60}, {3,16}, {3,28}, {12,39}, {12,52}, {4,59}, {7,18}, {6,20}, {3,17}, {11,35}, {2,18}, {9,27}, {3,52}, {5,45}, {1,49}, {6,57}, {6,21}, {9,51}, {5,57}, {12,51}, {5,58}, {10,24}, {11,36}, {8,55}, {2,53}, {7,19}, {10,37}, {4,22}, {2,42}, {2,17}, {9,50}, {3,41}, {9,14}, {2,54}, {5,34}, {1,13}, {11,59}, {7,54}, {9,26}, {2,41}, {8,56}, {12,28}, {7,42}, {4,35}, {10,25}, {9,39}, {12,15}, {4,46}, {6,44}, {1,25}, {5,22}, {3,53}, {10,49} }; // ETB60.58 // Bipartite(12,48) Valencies [8,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 805306368 EdgesBipt[60][57]:={ {3,32}, {11,30}, {1,26}, {8,54}, {2,14}, {4,13}, {7,47}, {5,36}, {1,47}, {1,50}, {9,19}, {10,40}, {4,37}, {4,41}, {2,52}, {4,36}, {6,33}, {1,29}, {7,34}, {7,23}, {9,31}, {11,54}, {9,16}, {1,37}, {6,14}, {11,24}, {11,58}, {5,43}, {10,48}, {6,46}, {10,32}, {3,33}, {8,25}, {4,60}, {2,55}, {2,45}, {11,48}, {7,58}, {2,21}, {8,27}, {5,21}, {5,25}, {10,16}, {2,31}, {12,52}, {3,15}, {9,40}, {7,18}, {6,20}, {5,19}, {8,42}, {11,35}, {2,38}, {4,27}, {5,60}, {5,45}, {12,41}, {6,38}, {7,15}, {9,43}, {9,55}, {6,57}, {10,44}, {4,17}, {12,46}, {8,51}, {3,26}, {12,29}, {9,35}, {3,50}, {10,24}, {10,56}, {1,53}, {3,39}, {2,28}, {12,53}, {11,34}, {6,22}, {12,22}, {7,39}, {8,49}, {3,57}, {9,59}, {1,13}, {8,18}, {11,59}, {5,49}, {12,28}, {7,42}, {3,56}, {1,23}, {8,30}, {10,20}, {12,17}, {6,44}, {4,51} }; // ETB60.59 // Bipartite(12,48) Valencies [8,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12884901888 EdgesBipt[60][58]:={ {10,19}, {11,58}, {6,48}, {10,54}, {1,43}, {2,38}, {6,18}, {3,56}, {8,59}, {12,39}, {5,52}, {3,29}, {11,55}, {5,42}, {10,57}, {7,59}, {4,27}, {10,43}, {1,40}, {7,60}, {4,40}, {3,54}, {3,53}, {4,16}, {12,15}, {12,17}, {7,33}, {3,32}, {1,38}, {6,50}, {6,32}, {7,27}, {2,55}, {3,30}, {8,34}, {7,51}, {2,28}, {8,13}, {9,17}, {10,30}, {11,45}, {12,21}, {11,34}, {2,14}, {5,23}, {2,52}, {2,31}, {4,46}, {10,25}, {1,16}, {8,47}, {2,36}, {4,53}, {4,29}, {5,15}, {8,35}, {8,58}, {6,26}, {10,33}, {1,19}, {5,28}, {9,25}, {7,35}, {9,49}, {4,51}, {12,44}, {6,56}, {10,49}, {4,22}, {5,47}, {11,31}, {8,23}, {11,48}, {11,21}, {9,26}, {1,14}, {9,46}, {3,44}, {6,42}, {1,37}, {1,13}, {3,20}, {12,41}, {8,37}, {9,41}, {2,60}, {6,24}, {5,18}, {7,36}, {11,24}, {9,50}, {5,39}, {12,20}, {12,45}, {7,57}, {9,22} }; // ETB60.60 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 160 EdgesBipt[60][59]:={ {2,44}, {11,53}, {9,58}, {16,41}, {3,60}, {13,32}, {17,36}, {12,29}, {17,56}, {13,40}, {16,33}, {15,46}, {12,45}, {4,53}, {16,27}, {11,25}, {8,30}, {7,48}, {5,38}, {18,38}, {18,50}, {3,45}, {8,33}, {10,26}, {5,56}, {14,38}, {7,22}, {12,42}, {9,43}, {3,37}, {20,21}, {13,35}, {2,26}, {17,24}, {1,21}, {7,51}, {12,35}, {10,44}, {3,57}, {2,28}, {18,41}, {5,32}, {17,40}, {16,23}, {20,30}, {8,31}, {13,29}, {12,50}, {7,58}, {10,30}, {16,30}, {19,28}, {15,56}, {6,40}, {1,50}, {19,54}, {7,57}, {14,21}, {1,55}, {16,53}, {5,29}, {12,46}, {2,52}, {12,44}, {19,22}, {17,39}, {10,54}, {1,31}, {10,41}, {7,49}, {6,55}, {4,47}, {18,49}, {4,33}, {5,23}, {6,49}, {15,42}, {4,59}, {2,48}, {16,37}, {12,43}, {9,50}, {9,25}, {18,44}, {13,33}, {8,36}, {14,55}, {14,47}, {6,46}, {9,56}, {1,60}, {15,34}, {19,58}, {17,48}, {13,28}, {20,45}, {19,31}, {3,27}, {9,51}, {20,51}, {4,28}, {4,43}, {10,45}, {20,43}, {4,46}, {18,31}, {5,42}, {11,54}, {14,59}, {13,60}, {16,51}, {11,52}, {8,32}, {1,24}, {19,60}, {11,24}, {11,55}, {14,49}, {3,21}, {6,41}, {18,23}, {10,39}, {1,35}, {20,48}, {11,26}, {8,34}, {2,29}, {11,27}, {8,38}, {2,22}, {10,34}, {18,22}, {2,47}, {14,52}, {14,57}, {20,36}, {20,47}, {5,27}, {19,25}, {3,42}, {4,25}, {15,57}, {13,37}, {15,59}, {3,54}, {15,39}, {9,24}, {17,26}, {6,39}, {6,53}, {19,34}, {7,37}, {6,35}, {17,32}, {7,40}, {9,23}, {8,59}, {5,52}, {1,36}, {15,58} }; // ETB60.61 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 960 EdgesBipt[60][60]:={ {6,48}, {9,58}, {2,24}, {14,56}, {17,44}, {18,39}, {4,27}, {2,46}, {13,40}, {4,24}, {9,60}, {12,51}, {17,38}, {15,46}, {8,30}, {16,40}, {14,39}, {8,43}, {9,45}, {2,51}, {7,38}, {15,31}, {1,57}, {17,34}, {7,22}, {4,31}, {15,44}, {11,58}, {18,56}, {1,21}, {7,51}, {16,25}, {15,54}, {12,35}, {18,21}, {1,30}, {5,32}, {8,27}, {13,29}, {12,37}, {2,54}, {12,50}, {15,60}, {7,58}, {16,30}, {19,28}, {19,33}, {6,47}, {3,34}, {14,23}, {11,38}, {14,60}, {19,54}, {20,55}, {9,29}, {19,26}, {16,24}, {19,59}, {12,36}, {1,44}, {5,29}, {11,49}, {10,52}, {5,43}, {19,29}, {3,56}, {11,22}, {4,45}, {3,44}, {11,59}, {6,55}, {4,33}, {5,23}, {17,55}, {10,40}, {9,50}, {12,43}, {7,50}, {7,53}, {4,35}, {9,25}, {8,36}, {19,42}, {6,33}, {2,32}, {16,32}, {13,50}, {11,30}, {12,47}, {17,27}, {1,60}, {18,53}, {15,37}, {13,25}, {18,24}, {14,58}, {10,42}, {8,35}, {4,55}, {10,46}, {20,43}, {18,33}, {16,48}, {8,37}, {5,28}, {13,36}, {17,31}, {8,26}, {16,22}, {5,41}, {7,47}, {5,54}, {7,59}, {20,23}, {12,53}, {14,49}, {3,21}, {1,25}, {17,41}, {20,48}, {13,42}, {1,37}, {16,21}, {11,26}, {6,42}, {3,53}, {18,28}, {11,27}, {20,52}, {2,22}, {10,36}, {10,34}, {15,51}, {10,49}, {2,40}, {2,31}, {14,52}, {20,47}, {8,49}, {5,26}, {9,39}, {6,52}, {10,56}, {17,45}, {3,38}, {15,57}, {3,28}, {20,41}, {3,41}, {1,48}, {6,59}, {14,46}, {13,34}, {19,57}, {13,45}, {4,39}, {18,35}, {9,23}, {20,32}, {6,57} }; // ETB60.62 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 960 EdgesBipt[60][61]:={ {6,48}, {9,28}, {4,27}, {13,21}, {4,24}, {15,24}, {12,51}, {2,56}, {3,40}, {17,38}, {12,45}, {9,45}, {2,51}, {5,38}, {12,32}, {8,54}, {15,31}, {9,55}, {3,25}, {7,44}, {12,39}, {15,44}, {10,33}, {5,47}, {18,54}, {9,43}, {8,39}, {15,47}, {1,21}, {19,48}, {12,35}, {2,28}, {18,41}, {17,40}, {14,28}, {20,30}, {2,42}, {13,55}, {6,22}, {13,56}, {15,29}, {4,38}, {15,56}, {20,50}, {14,33}, {5,50}, {9,26}, {16,53}, {1,44}, {4,41}, {10,52}, {7,46}, {8,45}, {17,58}, {7,32}, {17,33}, {11,44}, {19,38}, {11,59}, {6,30}, {6,43}, {18,49}, {4,33}, {10,21}, {20,59}, {13,49}, {18,55}, {2,48}, {16,58}, {7,53}, {11,29}, {13,50}, {9,56}, {9,37}, {11,60}, {1,58}, {18,24}, {18,27}, {20,22}, {10,46}, {6,23}, {16,48}, {3,26}, {8,37}, {18,31}, {11,54}, {13,30}, {5,41}, {16,51}, {1,24}, {17,25}, {8,40}, {20,23}, {12,40}, {12,53}, {14,34}, {3,23}, {5,36}, {11,46}, {4,58}, {20,60}, {1,53}, {19,36}, {7,60}, {18,23}, {9,30}, {13,46}, {16,34}, {15,21}, {5,60}, {14,45}, {16,36}, {11,37}, {2,29}, {11,27}, {2,22}, {10,34}, {15,22}, {19,39}, {19,43}, {6,25}, {10,49}, {1,47}, {4,49}, {2,31}, {10,50}, {14,52}, {14,57}, {12,52}, {16,42}, {20,47}, {3,55}, {14,43}, {19,25}, {10,57}, {3,42}, {7,27}, {20,41}, {13,37}, {3,54}, {3,31}, {6,59}, {8,51}, {17,26}, {6,39}, {17,42}, {19,35}, {7,35}, {19,57}, {5,35}, {1,34}, {7,52}, {17,32}, {16,28}, {8,59}, {8,29}, {4,32}, {5,57}, {1,36}, {14,26} }; // ETB60.63 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 160 EdgesBipt[60][62]:={ {15,52}, {9,58}, {17,50}, {10,24}, {17,35}, {17,44}, {11,36}, {5,34}, {16,26}, {4,53}, {12,56}, {4,56}, {8,43}, {12,22}, {7,38}, {8,28}, {1,57}, {10,23}, {10,26}, {13,57}, {12,39}, {12,41}, {16,59}, {12,55}, {7,34}, {1,21}, {14,50}, {17,21}, {3,52}, {9,35}, {8,44}, {4,23}, {17,46}, {8,31}, {8,27}, {12,37}, {2,54}, {18,34}, {19,21}, {15,60}, {15,29}, {5,40}, {20,38}, {4,60}, {9,48}, {9,47}, {10,38}, {9,29}, {1,55}, {19,26}, {5,50}, {16,53}, {15,40}, {12,49}, {2,37}, {4,42}, {9,41}, {5,25}, {4,45}, {20,31}, {20,33}, {6,30}, {17,55}, {14,53}, {10,40}, {17,43}, {16,58}, {7,50}, {3,39}, {7,53}, {3,32}, {11,57}, {7,26}, {2,32}, {11,23}, {6,44}, {19,41}, {11,30}, {5,46}, {12,25}, {5,49}, {1,45}, {19,58}, {13,54}, {18,24}, {13,28}, {18,27}, {14,37}, {18,47}, {9,51}, {10,46}, {1,33}, {18,33}, {15,36}, {16,49}, {18,31}, {9,22}, {13,30}, {14,59}, {10,55}, {4,36}, {13,60}, {6,51}, {20,29}, {11,52}, {1,42}, {1,24}, {8,58}, {11,24}, {6,27}, {20,23}, {5,36}, {1,25}, {19,45}, {19,56}, {7,60}, {13,27}, {20,48}, {13,42}, {14,25}, {19,32}, {14,45}, {16,35}, {2,22}, {14,44}, {3,48}, {15,51}, {14,32}, {19,43}, {2,47}, {20,42}, {4,49}, {2,31}, {18,51}, {11,47}, {15,38}, {16,46}, {15,28}, {16,39}, {6,52}, {10,56}, {11,48}, {3,28}, {3,41}, {3,54}, {18,40}, {6,39}, {7,33}, {6,37}, {13,34}, {17,22}, {3,59}, {2,30}, {20,54}, {2,43}, {6,35}, {8,59}, {7,21}, {8,29}, {5,57} }; // ETB60.64 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 20480 EdgesBipt[60][63]:={ {9,58}, {16,41}, {13,32}, {2,33}, {13,40}, {11,56}, {15,24}, {3,22}, {17,38}, {1,56}, {8,30}, {18,46}, {14,39}, {12,22}, {8,54}, {19,44}, {15,49}, {16,31}, {20,27}, {3,43}, {10,23}, {12,38}, {5,56}, {4,31}, {2,27}, {13,53}, {3,35}, {16,59}, {20,21}, {13,35}, {19,47}, {7,34}, {10,44}, {12,58}, {18,41}, {18,34}, {15,60}, {14,54}, {2,45}, {15,29}, {5,40}, {6,31}, {2,36}, {20,55}, {10,47}, {9,32}, {5,50}, {9,27}, {15,40}, {12,36}, {1,44}, {5,29}, {8,41}, {2,38}, {8,47}, {12,49}, {10,52}, {12,44}, {11,51}, {17,51}, {17,23}, {4,45}, {7,25}, {1,22}, {1,51}, {6,55}, {6,49}, {10,21}, {9,42}, {2,57}, {4,52}, {9,50}, {13,31}, {7,53}, {18,30}, {3,32}, {11,57}, {6,24}, {5,30}, {9,37}, {4,48}, {18,53}, {15,37}, {1,58}, {20,58}, {18,47}, {4,54}, {18,33}, {3,29}, {3,26}, {8,26}, {12,33}, {14,59}, {10,55}, {17,54}, {17,28}, {1,24}, {14,22}, {11,24}, {18,25}, {5,36}, {20,46}, {6,41}, {7,60}, {6,28}, {14,25}, {16,21}, {16,56}, {20,35}, {7,28}, {19,32}, {13,26}, {5,60}, {3,53}, {4,40}, {10,35}, {17,60}, {16,36}, {7,23}, {11,27}, {20,52}, {8,38}, {13,48}, {19,39}, {20,42}, {14,52}, {14,43}, {10,57}, {9,39}, {12,48}, {4,25}, {11,45}, {8,46}, {19,50}, {1,48}, {6,59}, {9,46}, {8,51}, {17,26}, {7,33}, {6,37}, {17,42}, {11,34}, {16,50}, {11,43}, {19,57}, {5,21}, {3,59}, {13,45}, {15,30}, {19,23}, {1,34}, {2,43}, {15,55}, {4,39}, {16,28}, {7,42}, {19,37}, {14,29}, {2,49} }; // ETB60.65 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 7680 EdgesBipt[60][64]:={ {15,52}, {13,32}, {9,28}, {6,32}, {11,36}, {5,34}, {13,40}, {16,26}, {15,24}, {4,26}, {2,56}, {15,46}, {4,53}, {4,50}, {12,22}, {18,38}, {18,50}, {1,57}, {9,55}, {8,33}, {7,41}, {15,44}, {3,58}, {3,35}, {3,37}, {17,24}, {19,48}, {11,41}, {15,54}, {18,21}, {10,44}, {8,25}, {13,47}, {2,28}, {16,23}, {14,28}, {19,21}, {14,54}, {18,37}, {13,56}, {16,30}, {19,28}, {19,33}, {2,25}, {11,38}, {3,46}, {10,48}, {6,31}, {20,50}, {2,34}, {5,22}, {20,55}, {7,57}, {19,40}, {10,47}, {1,55}, {15,32}, {12,49}, {10,52}, {12,44}, {11,51}, {8,45}, {17,51}, {4,42}, {17,58}, {19,53}, {7,43}, {11,31}, {17,33}, {1,22}, {4,33}, {10,29}, {10,40}, {17,43}, {7,53}, {18,30}, {18,44}, {14,48}, {14,55}, {9,56}, {17,27}, {17,49}, {5,46}, {13,23}, {18,53}, {12,25}, {14,42}, {1,45}, {8,22}, {20,58}, {3,27}, {9,51}, {4,54}, {18,36}, {4,43}, {20,43}, {6,23}, {16,49}, {17,52}, {7,31}, {12,57}, {14,59}, {5,41}, {20,29}, {16,51}, {11,52}, {5,54}, {8,21}, {8,58}, {12,30}, {3,23}, {1,39}, {3,21}, {7,60}, {9,30}, {13,46}, {20,37}, {13,26}, {6,42}, {5,60}, {16,36}, {8,34}, {2,29}, {16,35}, {6,45}, {10,36}, {8,50}, {19,39}, {6,25}, {10,49}, {1,47}, {2,40}, {2,31}, {16,42}, {20,47}, {15,38}, {5,26}, {9,39}, {9,38}, {11,45}, {12,24}, {7,27}, {14,35}, {1,41}, {15,59}, {1,48}, {9,24}, {6,59}, {11,34}, {20,56}, {13,39}, {3,59}, {7,37}, {5,35}, {2,60}, {4,32}, {19,27}, {6,57}, {14,29}, {12,60} }; // ETB60.66 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 7680 EdgesBipt[60][65]:={ {16,41}, {17,50}, {3,60}, {2,33}, {11,35}, {5,34}, {16,26}, {15,24}, {4,26}, {12,51}, {10,37}, {18,32}, {18,46}, {4,56}, {17,53}, {8,43}, {12,22}, {2,51}, {8,54}, {19,44}, {18,38}, {20,27}, {3,45}, {20,57}, {12,38}, {1,40}, {5,56}, {7,22}, {16,59}, {20,21}, {17,24}, {19,48}, {7,51}, {18,21}, {10,44}, {8,25}, {13,47}, {2,28}, {14,28}, {9,35}, {8,31}, {12,50}, {10,53}, {18,42}, {13,56}, {19,28}, {3,34}, {2,25}, {15,56}, {11,33}, {6,31}, {6,40}, {9,48}, {9,47}, {5,22}, {10,38}, {6,58}, {14,36}, {1,44}, {4,41}, {11,49}, {2,37}, {5,43}, {7,46}, {8,45}, {7,39}, {5,25}, {10,28}, {11,31}, {1,22}, {6,55}, {10,29}, {15,42}, {2,57}, {2,48}, {4,52}, {9,50}, {1,29}, {18,30}, {19,52}, {15,53}, {13,44}, {14,55}, {17,27}, {17,49}, {13,23}, {12,25}, {15,34}, {14,58}, {10,42}, {3,27}, {4,54}, {6,23}, {1,43}, {16,38}, {4,46}, {16,49}, {17,52}, {17,54}, {6,51}, {20,29}, {8,32}, {8,21}, {19,60}, {9,57}, {11,24}, {11,39}, {8,40}, {12,40}, {5,59}, {12,53}, {12,30}, {14,34}, {3,23}, {1,39}, {3,21}, {4,58}, {19,45}, {20,46}, {19,36}, {6,41}, {7,60}, {9,30}, {18,60}, {19,32}, {20,37}, {5,33}, {16,35}, {13,48}, {13,41}, {10,49}, {1,47}, {2,31}, {14,57}, {9,36}, {20,47}, {3,55}, {5,26}, {17,45}, {7,27}, {15,23}, {13,37}, {9,24}, {13,59}, {6,39}, {7,33}, {16,50}, {11,43}, {3,59}, {20,54}, {15,30}, {7,52}, {11,42}, {18,35}, {4,32}, {1,36}, {14,29}, {16,55}, {15,58}, {14,26} }; // ETB60.67 // Bipartite(20,40) Valencies [8,4] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 20480 EdgesBipt[60][66]:={ {2,44}, {16,41}, {2,24}, {17,36}, {12,29}, {9,60}, {17,38}, {15,46}, {1,56}, {8,30}, {14,39}, {5,55}, {16,47}, {7,55}, {8,54}, {16,57}, {15,49}, {18,50}, {9,55}, {10,23}, {20,40}, {4,31}, {7,34}, {12,35}, {2,28}, {18,41}, {8,44}, {8,31}, {11,50}, {10,53}, {18,42}, {16,43}, {7,58}, {2,45}, {15,45}, {6,21}, {3,46}, {10,48}, {14,33}, {4,22}, {9,29}, {17,37}, {9,27}, {5,29}, {2,39}, {10,54}, {15,26}, {3,56}, {1,31}, {8,60}, {4,45}, {7,25}, {5,58}, {1,22}, {19,38}, {18,49}, {4,33}, {5,23}, {6,60}, {1,59}, {13,22}, {10,21}, {2,57}, {17,43}, {9,50}, {3,39}, {7,53}, {11,21}, {9,25}, {4,57}, {11,23}, {6,24}, {5,30}, {14,47}, {6,44}, {17,27}, {12,25}, {15,37}, {11,60}, {17,48}, {8,56}, {6,56}, {13,28}, {10,42}, {18,26}, {14,41}, {14,37}, {1,33}, {13,36}, {17,52}, {16,22}, {16,51}, {12,27}, {9,40}, {11,52}, {7,59}, {5,31}, {12,40}, {5,59}, {12,53}, {8,23}, {11,55}, {10,32}, {14,49}, {19,51}, {1,46}, {4,58}, {6,54}, {13,46}, {20,48}, {19,49}, {19,32}, {20,37}, {13,26}, {10,35}, {16,36}, {3,30}, {20,26}, {3,24}, {20,52}, {4,34}, {13,51}, {11,32}, {15,33}, {19,43}, {6,25}, {20,42}, {1,47}, {18,51}, {14,57}, {20,36}, {6,34}, {14,43}, {15,38}, {2,58}, {13,38}, {12,48}, {9,52}, {3,28}, {20,41}, {19,50}, {7,24}, {15,39}, {18,40}, {3,47}, {19,35}, {3,59}, {2,30}, {13,45}, {1,34}, {17,32}, {11,42}, {12,54}, {18,35}, {16,28}, {4,44}, {7,21}, {8,29}, {19,27}, {5,53} }; // ETB60.68 // Bipartite(20,40) Valencies [8,4] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 20480 EdgesBipt[60][67]:={ {6,48}, {9,58}, {3,33}, {16,41}, {17,50}, {3,60}, {10,25}, {2,33}, {17,44}, {17,36}, {11,35}, {16,33}, {2,56}, {17,38}, {15,46}, {11,25}, {14,51}, {7,48}, {5,55}, {9,45}, {2,51}, {19,44}, {15,49}, {16,31}, {1,57}, {1,32}, {3,43}, {7,54}, {10,26}, {13,57}, {7,22}, {8,52}, {12,42}, {12,55}, {19,47}, {1,21}, {14,50}, {15,43}, {12,58}, {2,28}, {18,41}, {1,30}, {5,32}, {17,46}, {13,29}, {16,29}, {10,53}, {18,42}, {6,22}, {6,21}, {5,40}, {20,38}, {20,50}, {14,33}, {9,48}, {4,22}, {10,47}, {12,36}, {2,37}, {14,30}, {8,45}, {17,58}, {17,39}, {3,56}, {20,31}, {15,27}, {2,59}, {18,49}, {4,21}, {6,60}, {9,42}, {4,59}, {16,37}, {10,40}, {1,29}, {13,31}, {3,32}, {7,26}, {19,42}, {4,57}, {11,23}, {13,43}, {13,44}, {19,41}, {5,24}, {1,60}, {18,53}, {8,56}, {6,56}, {8,35}, {20,58}, {18,27}, {14,41}, {18,47}, {4,54}, {3,29}, {5,28}, {18,31}, {12,26}, {10,55}, {19,46}, {5,54}, {8,32}, {8,21}, {17,25}, {11,39}, {6,26}, {20,23}, {12,53}, {5,59}, {20,49}, {14,34}, {14,49}, {20,25}, {16,44}, {19,36}, {7,60}, {18,23}, {13,27}, {16,34}, {7,28}, {4,37}, {10,35}, {3,30}, {4,51}, {2,22}, {4,34}, {10,36}, {15,51}, {19,39}, {11,40}, {12,52}, {11,47}, {15,38}, {8,55}, {9,39}, {6,52}, {13,38}, {15,57}, {9,52}, {11,45}, {11,48}, {12,24}, {3,28}, {20,53}, {13,37}, {5,45}, {7,24}, {9,24}, {14,46}, {16,50}, {15,30}, {1,54}, {1,34}, {2,43}, {6,35}, {7,40}, {9,23}, {8,59}, {19,27} }; // ETB60.69 // Bipartite(20,40) Valencies [8,4] // Diameter 10 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1298501242170900480 EdgesBipt[60][68]:={ {6,48}, {2,33}, {17,44}, {17,35}, {4,24}, {9,60}, {15,46}, {4,53}, {18,46}, {2,23}, {12,22}, {12,32}, {7,55}, {1,32}, {20,40}, {7,44}, {7,54}, {17,34}, {13,57}, {5,56}, {9,49}, {12,42}, {3,58}, {16,59}, {5,47}, {3,37}, {20,21}, {18,56}, {7,34}, {17,24}, {1,21}, {15,47}, {11,41}, {8,25}, {13,47}, {3,57}, {20,30}, {4,23}, {16,29}, {2,42}, {14,54}, {10,30}, {6,29}, {14,23}, {15,56}, {20,50}, {14,33}, {9,29}, {19,40}, {6,58}, {13,58}, {19,30}, {19,59}, {2,52}, {19,29}, {11,51}, {8,45}, {15,26}, {1,31}, {10,41}, {11,22}, {2,53}, {7,25}, {14,24}, {11,31}, {20,31}, {1,22}, {15,27}, {1,51}, {4,33}, {10,31}, {6,49}, {17,55}, {10,21}, {14,53}, {18,55}, {10,40}, {9,50}, {12,43}, {16,58}, {11,21}, {8,36}, {2,32}, {5,46}, {15,37}, {8,56}, {8,35}, {13,28}, {18,26}, {3,27}, {20,51}, {4,54}, {18,36}, {4,43}, {16,48}, {16,38}, {10,60}, {15,36}, {16,49}, {10,51}, {8,26}, {1,52}, {12,33}, {17,54}, {9,40}, {11,52}, {1,42}, {12,23}, {19,60}, {17,25}, {12,53}, {14,34}, {18,25}, {5,36}, {20,60}, {6,28}, {9,30}, {13,27}, {19,49}, {2,22}, {14,44}, {4,34}, {3,48}, {11,32}, {13,48}, {19,39}, {6,38}, {10,50}, {12,52}, {14,43}, {5,27}, {8,55}, {5,26}, {18,45}, {16,39}, {9,39}, {13,38}, {17,45}, {3,38}, {15,57}, {3,28}, {20,41}, {7,45}, {8,46}, {1,41}, {13,37}, {19,50}, {7,24}, {6,59}, {6,39}, {3,47}, {7,35}, {9,59}, {5,37}, {2,43}, {11,42}, {18,35}, {16,28}, {4,44}, {5,57} }; // ETB60.70 // Bipartite(20,40) Valencies [8,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15216811431690240 EdgesBipt[60][69]:={ {6,48}, {17,50}, {13,52}, {13,32}, {11,36}, {13,21}, {5,34}, {11,56}, {15,46}, {12,45}, {4,53}, {4,30}, {4,50}, {8,30}, {18,46}, {9,45}, {12,22}, {12,32}, {9,55}, {20,27}, {20,57}, {7,41}, {7,44}, {7,54}, {9,44}, {12,42}, {12,55}, {3,37}, {18,56}, {7,34}, {1,21}, {7,51}, {16,25}, {12,35}, {14,50}, {3,57}, {17,40}, {9,35}, {4,23}, {8,31}, {2,42}, {15,25}, {15,45}, {19,33}, {6,47}, {15,56}, {3,46}, {10,48}, {1,38}, {4,60}, {14,60}, {10,38}, {6,58}, {8,41}, {11,49}, {2,52}, {5,43}, {14,30}, {14,40}, {19,22}, {2,39}, {17,39}, {3,56}, {15,26}, {1,31}, {8,60}, {19,53}, {10,28}, {1,51}, {10,59}, {2,59}, {11,59}, {4,33}, {5,23}, {10,29}, {9,54}, {9,34}, {13,22}, {16,58}, {13,31}, {19,52}, {9,25}, {2,32}, {19,42}, {18,43}, {11,29}, {20,44}, {14,47}, {17,30}, {15,35}, {5,24}, {17,49}, {12,25}, {18,53}, {1,58}, {18,26}, {1,28}, {3,27}, {14,37}, {18,36}, {4,43}, {18,33}, {16,48}, {3,26}, {16,38}, {15,36}, {7,31}, {10,58}, {5,54}, {16,45}, {8,21}, {6,27}, {11,39}, {5,44}, {8,40}, {17,59}, {17,29}, {11,46}, {18,23}, {6,28}, {10,39}, {13,42}, {19,32}, {20,37}, {11,26}, {4,40}, {17,60}, {5,33}, {2,29}, {16,35}, {20,34}, {2,22}, {8,50}, {13,51}, {19,43}, {13,41}, {10,49}, {6,38}, {20,24}, {14,57}, {12,52}, {20,47}, {1,41}, {1,48}, {7,24}, {9,24}, {8,51}, {6,37}, {3,47}, {20,54}, {19,23}, {15,55}, {3,36}, {16,28}, {14,27}, {7,21}, {6,57}, {5,53}, {16,55}, {2,49} }; // ETB60.71 // Bipartite(20,40) Valencies [8,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 257698037760 EdgesBipt[60][70]:={ {15,52}, {11,53}, {10,24}, {2,33}, {4,27}, {10,37}, {8,30}, {18,46}, {5,55}, {12,22}, {12,32}, {15,49}, {16,31}, {4,29}, {18,50}, {3,45}, {1,27}, {20,57}, {3,25}, {7,54}, {17,34}, {5,56}, {12,39}, {12,42}, {3,58}, {18,56}, {7,34}, {11,41}, {1,21}, {18,21}, {10,44}, {18,41}, {5,32}, {17,40}, {16,23}, {17,46}, {2,42}, {11,28}, {16,43}, {15,29}, {15,56}, {10,48}, {11,33}, {6,31}, {4,60}, {14,60}, {6,58}, {13,58}, {15,32}, {19,30}, {5,29}, {8,41}, {2,52}, {7,46}, {14,40}, {19,22}, {2,39}, {10,54}, {17,23}, {4,45}, {2,53}, {7,43}, {10,28}, {3,44}, {2,59}, {6,55}, {4,47}, {6,43}, {9,42}, {17,43}, {9,50}, {16,58}, {3,39}, {18,30}, {11,21}, {8,36}, {2,32}, {7,26}, {19,42}, {20,44}, {13,44}, {14,47}, {15,35}, {9,37}, {5,49}, {13,25}, {8,56}, {20,28}, {18,26}, {19,31}, {1,28}, {9,51}, {18,36}, {1,33}, {6,23}, {16,38}, {15,36}, {8,26}, {9,22}, {12,33}, {17,54}, {12,59}, {6,51}, {16,51}, {8,21}, {9,57}, {13,24}, {12,53}, {14,49}, {19,51}, {5,36}, {1,53}, {7,60}, {9,30}, {20,48}, {14,25}, {20,37}, {14,45}, {4,40}, {17,60}, {7,23}, {3,24}, {16,35}, {11,27}, {20,34}, {2,22}, {10,34}, {8,50}, {1,47}, {6,38}, {20,24}, {4,49}, {12,52}, {11,47}, {10,57}, {13,38}, {4,25}, {3,38}, {11,48}, {8,46}, {1,41}, {19,50}, {1,48}, {13,59}, {17,26}, {13,39}, {19,57}, {3,59}, {20,54}, {13,45}, {5,35}, {9,31}, {15,55}, {6,35}, {7,40}, {19,37}, {14,27}, {5,52}, {16,55}, {14,29} }; // ETB60.72 // Bipartite(20,40) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20289081908920320 EdgesBipt[60][71]:={ {15,52}, {11,53}, {9,58}, {3,33}, {14,56}, {9,28}, {16,33}, {17,38}, {18,32}, {18,46}, {2,51}, {8,54}, {4,29}, {3,43}, {7,41}, {13,57}, {3,37}, {15,48}, {18,56}, {1,21}, {7,51}, {8,25}, {2,41}, {3,57}, {13,47}, {12,34}, {5,32}, {16,23}, {8,44}, {12,50}, {10,22}, {18,42}, {16,43}, {6,29}, {13,56}, {20,38}, {11,33}, {6,40}, {9,48}, {9,47}, {5,22}, {7,57}, {19,40}, {1,55}, {14,36}, {19,26}, {15,32}, {16,24}, {19,30}, {16,53}, {9,27}, {11,49}, {10,52}, {5,43}, {16,54}, {12,44}, {8,45}, {17,58}, {17,39}, {1,31}, {10,41}, {4,45}, {1,51}, {11,59}, {6,30}, {5,23}, {10,31}, {6,60}, {6,49}, {15,42}, {10,21}, {4,59}, {4,35}, {11,23}, {6,50}, {11,29}, {20,44}, {14,55}, {9,37}, {17,49}, {1,45}, {17,48}, {20,28}, {8,35}, {10,42}, {4,55}, {18,26}, {20,58}, {3,27}, {18,36}, {13,36}, {10,51}, {5,42}, {7,31}, {18,52}, {7,47}, {17,28}, {19,46}, {9,57}, {19,60}, {11,39}, {12,40}, {12,30}, {3,23}, {10,32}, {17,59}, {17,29}, {1,25}, {16,44}, {19,36}, {19,56}, {13,27}, {13,46}, {1,35}, {20,48}, {16,34}, {14,25}, {13,26}, {3,53}, {14,45}, {2,21}, {8,34}, {5,33}, {20,34}, {15,22}, {18,22}, {8,24}, {20,24}, {4,49}, {2,40}, {2,31}, {15,38}, {8,55}, {15,28}, {9,38}, {4,25}, {12,24}, {7,27}, {14,35}, {1,41}, {13,37}, {19,50}, {6,59}, {6,39}, {14,46}, {3,47}, {11,43}, {2,30}, {20,54}, {7,37}, {2,60}, {12,54}, {4,39}, {7,21}, {5,52}, {5,53}, {15,58}, {2,50}, {14,26}, {12,60} }; // ETB60.73 // Bipartite(20,40) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 343597383680 EdgesBipt[60][72]:={ {14,56}, {5,34}, {16,33}, {15,24}, {18,29}, {12,45}, {17,47}, {4,56}, {17,53}, {19,44}, {3,45}, {1,27}, {3,43}, {3,25}, {12,38}, {19,24}, {10,26}, {9,44}, {15,44}, {16,59}, {12,55}, {15,48}, {11,41}, {1,21}, {15,54}, {12,35}, {12,58}, {1,30}, {14,28}, {12,50}, {11,50}, {10,22}, {18,37}, {13,56}, {2,45}, {2,25}, {4,60}, {14,60}, {1,50}, {6,58}, {14,36}, {19,26}, {9,26}, {16,53}, {18,57}, {2,38}, {10,52}, {16,54}, {14,40}, {3,56}, {17,23}, {8,60}, {11,22}, {7,49}, {7,43}, {2,35}, {17,33}, {1,22}, {10,59}, {18,49}, {3,51}, {20,59}, {18,55}, {4,52}, {17,43}, {16,58}, {13,31}, {7,53}, {11,21}, {15,41}, {6,33}, {14,48}, {13,43}, {11,30}, {5,24}, {9,37}, {17,27}, {17,49}, {4,48}, {13,23}, {12,25}, {15,34}, {5,48}, {13,25}, {8,35}, {10,42}, {19,31}, {20,22}, {9,51}, {10,46}, {4,28}, {16,38}, {8,37}, {5,28}, {13,36}, {5,41}, {4,36}, {8,57}, {7,47}, {19,46}, {5,54}, {1,42}, {9,57}, {5,44}, {8,40}, {20,39}, {12,30}, {3,23}, {10,32}, {17,29}, {19,51}, {6,54}, {20,46}, {7,29}, {10,39}, {18,60}, {16,34}, {15,21}, {4,40}, {7,23}, {20,26}, {11,27}, {20,52}, {13,51}, {14,32}, {20,42}, {1,47}, {6,38}, {14,52}, {6,34}, {11,47}, {8,55}, {8,49}, {2,58}, {15,28}, {16,39}, {7,27}, {1,41}, {3,31}, {9,24}, {18,40}, {6,59}, {9,46}, {6,39}, {2,55}, {7,33}, {19,57}, {5,21}, {2,30}, {6,53}, {13,45}, {9,31}, {11,42}, {3,36}, {18,35}, {19,37}, {20,32}, {8,29}, {4,32}, {2,50} }; // ETB60.74 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][73]:={ {2,44}, {15,52}, {11,53}, {3,60}, {10,25}, {2,24}, {14,56}, {11,36}, {11,56}, {16,26}, {12,51}, {3,40}, {17,47}, {8,30}, {4,56}, {17,53}, {5,55}, {8,43}, {7,38}, {4,29}, {18,50}, {3,45}, {3,25}, {13,57}, {4,31}, {9,49}, {16,59}, {18,54}, {9,43}, {18,56}, {1,21}, {8,25}, {12,34}, {1,30}, {17,46}, {8,31}, {12,37}, {2,42}, {18,34}, {7,58}, {4,38}, {19,33}, {6,21}, {14,23}, {10,48}, {11,33}, {1,50}, {9,47}, {9,29}, {14,21}, {14,36}, {15,32}, {9,27}, {19,59}, {1,44}, {5,29}, {2,38}, {10,52}, {17,51}, {7,46}, {8,45}, {10,54}, {19,53}, {11,22}, {7,43}, {10,28}, {2,35}, {17,33}, {19,38}, {6,55}, {9,42}, {18,30}, {19,52}, {7,26}, {15,50}, {20,44}, {13,44}, {15,35}, {17,27}, {5,49}, {15,37}, {11,60}, {19,58}, {5,48}, {13,25}, {18,27}, {1,28}, {14,41}, {3,27}, {18,47}, {14,37}, {18,36}, {10,45}, {16,48}, {5,28}, {17,31}, {16,22}, {9,22}, {12,57}, {4,36}, {20,29}, {1,24}, {13,24}, {12,40}, {20,49}, {8,23}, {10,32}, {3,21}, {4,58}, {6,54}, {20,46}, {6,41}, {7,60}, {19,32}, {7,23}, {5,33}, {20,26}, {4,51}, {20,52}, {2,22}, {10,34}, {8,50}, {19,39}, {20,24}, {4,49}, {11,40}, {14,57}, {16,42}, {6,34}, {14,43}, {2,58}, {16,46}, {16,39}, {15,57}, {1,41}, {13,37}, {3,41}, {1,48}, {6,59}, {13,59}, {8,51}, {17,26}, {6,39}, {2,55}, {12,31}, {3,47}, {13,39}, {13,45}, {15,30}, {5,35}, {15,55}, {6,35}, {11,42}, {12,54}, {16,28}, {7,40}, {9,23}, {20,32}, {5,53}, {12,60} }; // ETB60.75 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][74]:={ {17,57}, {15,52}, {11,53}, {16,41}, {10,24}, {14,56}, {18,39}, {17,36}, {17,56}, {11,35}, {13,40}, {18,29}, {12,51}, {4,30}, {4,50}, {11,25}, {16,40}, {5,55}, {12,22}, {7,38}, {8,54}, {1,32}, {13,57}, {9,44}, {4,31}, {10,33}, {12,42}, {2,27}, {3,58}, {18,54}, {15,47}, {1,21}, {16,60}, {10,44}, {9,53}, {12,34}, {8,44}, {17,46}, {13,29}, {16,29}, {18,34}, {10,53}, {7,58}, {10,30}, {2,45}, {6,21}, {2,25}, {5,40}, {20,38}, {11,33}, {6,31}, {9,47}, {4,22}, {17,37}, {14,36}, {5,50}, {15,32}, {9,27}, {19,59}, {2,38}, {12,44}, {19,29}, {7,39}, {4,42}, {16,52}, {2,35}, {15,27}, {6,55}, {18,49}, {3,51}, {15,42}, {13,49}, {4,59}, {10,40}, {7,30}, {7,50}, {8,36}, {18,43}, {16,32}, {11,23}, {1,23}, {5,30}, {6,46}, {9,37}, {5,46}, {15,37}, {14,42}, {17,48}, {8,56}, {20,28}, {13,28}, {20,58}, {1,33}, {20,43}, {1,43}, {10,60}, {16,49}, {8,26}, {1,52}, {13,60}, {6,51}, {17,28}, {7,47}, {7,59}, {9,57}, {14,22}, {18,59}, {6,26}, {20,23}, {11,55}, {3,21}, {19,45}, {1,53}, {19,36}, {19,56}, {6,41}, {18,23}, {20,48}, {19,49}, {14,25}, {16,21}, {5,60}, {14,45}, {8,34}, {4,51}, {20,34}, {3,48}, {15,22}, {13,48}, {14,32}, {8,24}, {19,39}, {2,47}, {14,52}, {10,50}, {9,33}, {19,25}, {5,26}, {2,58}, {3,38}, {15,57}, {11,45}, {12,24}, {3,28}, {7,27}, {8,46}, {1,41}, {13,37}, {3,41}, {3,31}, {9,24}, {17,26}, {2,55}, {12,31}, {11,43}, {20,54}, {5,35}, {6,35}, {12,54}, {4,39} }; // ETB60.76 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][75]:={ {17,57}, {6,48}, {2,44}, {9,58}, {3,60}, {10,25}, {2,24}, {10,24}, {17,35}, {13,21}, {5,34}, {3,40}, {15,46}, {1,56}, {4,50}, {4,30}, {12,56}, {17,53}, {8,43}, {7,55}, {16,57}, {19,44}, {15,31}, {4,29}, {8,33}, {19,24}, {14,38}, {7,22}, {12,41}, {3,58}, {16,59}, {12,55}, {19,47}, {1,21}, {12,35}, {10,44}, {9,53}, {12,34}, {14,28}, {20,30}, {13,29}, {2,54}, {18,42}, {15,25}, {10,30}, {15,45}, {20,50}, {2,34}, {14,60}, {5,22}, {10,47}, {17,37}, {19,59}, {12,36}, {2,52}, {16,54}, {14,40}, {15,26}, {8,60}, {7,49}, {2,35}, {17,33}, {11,44}, {19,38}, {20,33}, {3,51}, {17,55}, {15,42}, {13,49}, {4,52}, {16,37}, {13,31}, {2,32}, {14,48}, {18,43}, {11,23}, {1,23}, {13,50}, {6,46}, {9,56}, {4,48}, {17,49}, {8,53}, {19,58}, {14,58}, {20,45}, {18,27}, {18,47}, {4,28}, {10,45}, {16,48}, {1,43}, {8,37}, {5,42}, {13,30}, {8,57}, {7,47}, {11,52}, {5,54}, {5,31}, {11,24}, {6,26}, {8,40}, {5,59}, {8,23}, {17,29}, {20,25}, {3,21}, {1,46}, {11,46}, {5,51}, {7,29}, {18,23}, {6,28}, {18,60}, {16,34}, {5,39}, {11,26}, {10,27}, {6,45}, {1,26}, {15,22}, {13,51}, {18,22}, {15,51}, {11,32}, {14,32}, {19,39}, {13,41}, {6,25}, {4,49}, {14,52}, {10,50}, {9,33}, {9,36}, {20,36}, {16,39}, {9,39}, {9,38}, {3,38}, {7,27}, {20,53}, {1,41}, {3,41}, {3,31}, {18,40}, {2,55}, {6,37}, {20,56}, {7,35}, {11,43}, {9,59}, {12,54}, {16,28}, {7,42}, {4,32}, {19,27}, {6,57}, {12,21}, {1,36} }; // ETB60.77 // Bipartite(20,40) Valencies [8,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][76]:={ {10,25}, {9,28}, {17,36}, {11,36}, {17,56}, {5,34}, {11,56}, {13,40}, {9,60}, {18,29}, {18,32}, {4,30}, {4,50}, {8,30}, {2,23}, {12,32}, {8,33}, {7,44}, {17,34}, {13,57}, {4,31}, {3,58}, {16,59}, {18,56}, {1,21}, {7,51}, {16,25}, {2,41}, {16,23}, {8,27}, {12,37}, {10,22}, {15,60}, {6,22}, {16,43}, {18,37}, {4,38}, {6,47}, {3,34}, {14,33}, {9,48}, {10,47}, {9,26}, {18,57}, {15,40}, {2,38}, {8,47}, {19,29}, {7,46}, {9,41}, {17,39}, {11,22}, {2,35}, {11,44}, {10,59}, {6,30}, {18,49}, {3,51}, {14,53}, {16,58}, {1,29}, {7,50}, {7,30}, {3,39}, {19,52}, {4,35}, {11,57}, {15,41}, {7,26}, {15,53}, {6,50}, {1,23}, {6,24}, {13,44}, {14,47}, {6,44}, {15,35}, {5,46}, {8,53}, {5,48}, {20,28}, {8,35}, {10,42}, {4,55}, {1,28}, {18,36}, {10,45}, {1,43}, {16,38}, {5,28}, {7,31}, {12,33}, {18,52}, {12,57}, {13,60}, {17,54}, {20,29}, {9,40}, {5,54}, {16,45}, {13,24}, {11,24}, {6,27}, {5,31}, {1,49}, {12,40}, {12,53}, {20,49}, {17,59}, {4,58}, {19,45}, {5,51}, {10,39}, {13,46}, {20,48}, {19,49}, {15,21}, {14,25}, {19,32}, {13,26}, {6,42}, {14,45}, {2,21}, {11,37}, {4,51}, {10,27}, {20,34}, {8,50}, {15,33}, {14,32}, {19,43}, {14,52}, {12,52}, {20,36}, {8,55}, {19,25}, {5,26}, {2,58}, {16,39}, {3,38}, {1,41}, {13,37}, {1,48}, {7,24}, {3,31}, {3,54}, {9,46}, {2,55}, {17,42}, {20,56}, {17,22}, {3,59}, {20,54}, {19,23}, {2,43}, {15,55}, {11,42}, {9,21}, {14,27}, {12,60} }; // ETB60.78 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][77]:={ {2,44}, {3,33}, {17,50}, {10,25}, {2,24}, {14,56}, {16,33}, {9,60}, {15,46}, {10,37}, {4,30}, {4,50}, {5,55}, {9,45}, {12,22}, {12,32}, {15,49}, {16,31}, {20,27}, {1,32}, {8,33}, {12,38}, {7,41}, {7,44}, {7,54}, {17,34}, {13,57}, {12,42}, {3,58}, {11,58}, {18,56}, {8,39}, {7,34}, {1,21}, {18,21}, {12,58}, {13,47}, {18,41}, {1,30}, {5,32}, {17,40}, {16,23}, {8,44}, {2,54}, {16,43}, {2,45}, {15,29}, {6,47}, {6,21}, {14,23}, {2,25}, {20,38}, {11,38}, {10,48}, {6,31}, {14,33}, {2,34}, {1,50}, {5,22}, {19,40}, {14,36}, {16,53}, {11,49}, {19,29}, {19,22}, {7,32}, {17,23}, {15,26}, {10,28}, {2,35}, {3,44}, {1,59}, {4,59}, {14,53}, {17,43}, {9,50}, {9,25}, {19,42}, {4,57}, {13,43}, {11,29}, {17,30}, {15,35}, {9,56}, {4,48}, {5,46}, {8,53}, {13,23}, {12,28}, {11,60}, {13,54}, {19,31}, {20,58}, {18,36}, {4,28}, {10,45}, {18,31}, {5,42}, {1,52}, {16,22}, {10,55}, {17,54}, {6,51}, {16,51}, {9,40}, {19,60}, {6,27}, {18,25}, {1,39}, {19,51}, {20,46}, {6,41}, {9,30}, {13,27}, {19,49}, {4,37}, {3,53}, {10,35}, {17,60}, {20,26}, {3,24}, {11,27}, {3,48}, {8,24}, {18,51}, {11,40}, {16,42}, {9,36}, {12,52}, {20,36}, {20,47}, {11,47}, {14,43}, {8,49}, {5,26}, {18,45}, {10,57}, {12,48}, {3,38}, {3,28}, {1,41}, {13,37}, {15,59}, {7,24}, {15,39}, {2,55}, {14,46}, {6,37}, {13,34}, {20,56}, {5,35}, {7,52}, {15,55}, {4,39}, {8,59}, {7,21}, {8,29}, {5,52}, {6,57}, {14,26} }; // ETB60.79 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][78]:={ {3,33}, {17,50}, {10,24}, {9,28}, {17,44}, {11,36}, {4,27}, {11,56}, {2,56}, {12,45}, {10,37}, {18,32}, {8,30}, {16,40}, {17,53}, {8,43}, {5,38}, {12,32}, {19,44}, {9,55}, {1,27}, {20,57}, {19,24}, {8,52}, {12,41}, {11,58}, {3,37}, {17,24}, {1,21}, {19,48}, {7,51}, {16,60}, {10,44}, {3,57}, {9,35}, {8,44}, {4,23}, {17,46}, {16,29}, {19,21}, {15,25}, {13,56}, {2,45}, {15,45}, {19,28}, {3,34}, {2,25}, {11,38}, {6,40}, {1,38}, {14,33}, {2,36}, {9,48}, {5,22}, {4,22}, {5,50}, {5,29}, {2,52}, {16,54}, {7,46}, {4,42}, {2,39}, {3,56}, {10,41}, {20,31}, {5,58}, {17,33}, {2,59}, {11,59}, {6,55}, {4,47}, {10,29}, {6,60}, {15,42}, {10,21}, {20,59}, {14,53}, {16,58}, {7,53}, {7,26}, {15,50}, {2,32}, {18,43}, {13,43}, {5,30}, {14,47}, {17,30}, {19,41}, {19,55}, {15,35}, {12,47}, {4,48}, {13,23}, {12,25}, {5,49}, {14,42}, {1,58}, {13,54}, {13,28}, {14,37}, {9,51}, {20,51}, {4,28}, {4,43}, {16,38}, {13,36}, {16,49}, {18,31}, {5,42}, {7,31}, {18,52}, {20,29}, {12,27}, {8,32}, {14,22}, {11,39}, {20,39}, {20,49}, {8,23}, {1,46}, {11,46}, {6,54}, {7,60}, {18,23}, {18,60}, {16,34}, {20,37}, {11,26}, {3,53}, {6,45}, {1,26}, {15,22}, {8,50}, {13,48}, {8,24}, {6,25}, {10,49}, {1,47}, {18,51}, {14,57}, {12,52}, {6,34}, {10,57}, {9,39}, {1,41}, {3,54}, {18,40}, {17,26}, {7,33}, {13,34}, {19,35}, {15,30}, {9,31}, {9,59}, {15,55}, {6,35}, {3,36}, {7,40}, {14,27}, {12,21} }; // ETB60.80 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][79]:={ {2,44}, {15,52}, {17,50}, {2,24}, {17,35}, {5,34}, {13,40}, {18,48}, {3,22}, {12,51}, {17,47}, {1,56}, {4,50}, {4,30}, {8,30}, {16,40}, {7,48}, {4,56}, {17,53}, {15,49}, {9,55}, {20,57}, {10,23}, {12,38}, {20,40}, {7,54}, {12,39}, {9,49}, {2,27}, {5,47}, {3,37}, {13,35}, {7,34}, {1,21}, {16,25}, {16,60}, {7,36}, {15,43}, {12,58}, {2,41}, {3,57}, {12,34}, {5,32}, {14,28}, {9,35}, {8,44}, {8,31}, {10,22}, {19,21}, {13,55}, {6,22}, {15,25}, {10,30}, {15,45}, {15,29}, {4,38}, {6,47}, {10,48}, {14,60}, {7,56}, {9,29}, {14,21}, {15,32}, {16,24}, {14,40}, {3,56}, {7,49}, {10,28}, {17,33}, {19,38}, {3,44}, {20,33}, {11,59}, {1,59}, {13,22}, {17,55}, {4,52}, {16,58}, {11,57}, {14,48}, {11,23}, {17,30}, {19,41}, {19,55}, {9,37}, {17,27}, {5,46}, {18,53}, {19,58}, {13,54}, {10,42}, {14,41}, {9,51}, {1,33}, {18,33}, {16,38}, {8,26}, {18,31}, {10,43}, {4,36}, {13,60}, {12,59}, {5,54}, {16,45}, {9,57}, {6,27}, {11,39}, {18,25}, {1,39}, {11,46}, {16,44}, {4,58}, {20,60}, {1,53}, {7,29}, {13,42}, {7,28}, {20,37}, {11,26}, {6,42}, {2,21}, {11,37}, {3,24}, {2,29}, {18,28}, {20,52}, {6,45}, {8,50}, {8,24}, {19,43}, {2,47}, {6,25}, {18,51}, {10,50}, {5,27}, {5,26}, {18,45}, {3,42}, {15,23}, {8,46}, {20,53}, {1,41}, {6,59}, {8,51}, {6,39}, {14,46}, {12,31}, {13,34}, {19,35}, {11,43}, {19,23}, {9,31}, {3,36}, {12,54}, {20,32}, {5,52}, {4,32}, {1,36}, {2,49}, {14,26} }; // ETB60.81 // Bipartite(20,40) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][80]:={ {2,44}, {3,33}, {2,24}, {11,35}, {5,34}, {15,46}, {1,56}, {4,50}, {4,30}, {7,48}, {2,51}, {7,38}, {16,57}, {17,34}, {14,38}, {9,44}, {2,27}, {18,56}, {8,39}, {1,21}, {7,51}, {18,21}, {8,25}, {13,47}, {12,34}, {18,41}, {16,23}, {17,40}, {20,30}, {4,23}, {12,50}, {6,22}, {16,43}, {7,58}, {13,56}, {19,33}, {20,38}, {3,46}, {10,48}, {6,40}, {20,50}, {14,33}, {9,47}, {9,32}, {9,27}, {19,59}, {5,29}, {8,41}, {2,38}, {12,46}, {10,52}, {19,29}, {8,45}, {15,26}, {1,31}, {19,53}, {16,52}, {10,41}, {11,22}, {7,43}, {14,24}, {10,28}, {1,51}, {20,33}, {6,60}, {13,22}, {15,42}, {10,21}, {14,53}, {16,37}, {3,39}, {13,31}, {16,32}, {4,57}, {6,46}, {15,35}, {5,24}, {9,37}, {17,49}, {5,49}, {6,56}, {14,58}, {8,35}, {20,58}, {1,28}, {3,50}, {4,54}, {18,36}, {4,43}, {20,43}, {16,48}, {3,26}, {13,36}, {12,26}, {7,31}, {10,55}, {17,54}, {11,52}, {5,54}, {8,21}, {9,57}, {17,25}, {5,44}, {6,26}, {20,23}, {12,40}, {12,30}, {11,55}, {10,32}, {14,49}, {18,25}, {17,29}, {19,45}, {13,27}, {18,60}, {19,49}, {13,42}, {7,28}, {4,37}, {6,42}, {3,53}, {10,35}, {17,60}, {7,23}, {6,36}, {3,30}, {11,27}, {14,44}, {4,34}, {15,22}, {13,51}, {11,32}, {19,39}, {2,47}, {2,31}, {11,47}, {8,55}, {19,25}, {2,58}, {18,45}, {17,45}, {9,52}, {20,53}, {1,41}, {15,59}, {1,48}, {15,39}, {18,40}, {9,24}, {3,59}, {5,37}, {15,55}, {11,42}, {12,54}, {16,28}, {8,59}, {5,57}, {1,36}, {14,29}, {12,60} }; // ETB60.82 // Bipartite(20,40) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83886080 EdgesBipt[60][81]:={ {17,57}, {2,44}, {15,52}, {3,33}, {3,60}, {2,24}, {9,28}, {18,39}, {5,34}, {3,40}, {17,53}, {5,38}, {2,51}, {8,42}, {4,29}, {9,55}, {1,27}, {20,40}, {19,47}, {18,56}, {15,47}, {1,21}, {7,51}, {15,43}, {8,25}, {2,28}, {9,35}, {20,30}, {4,23}, {12,37}, {12,50}, {10,22}, {19,21}, {18,42}, {4,38}, {6,21}, {3,46}, {10,48}, {20,50}, {14,60}, {9,48}, {3,49}, {7,57}, {17,37}, {14,21}, {1,55}, {5,50}, {16,24}, {15,32}, {11,49}, {2,37}, {10,52}, {12,44}, {8,45}, {14,40}, {17,23}, {1,31}, {8,60}, {16,52}, {7,43}, {10,28}, {5,58}, {17,33}, {15,27}, {1,51}, {11,59}, {20,33}, {9,42}, {2,57}, {2,48}, {17,43}, {16,58}, {19,52}, {16,32}, {11,29}, {14,55}, {5,30}, {13,50}, {19,41}, {6,46}, {5,24}, {17,49}, {8,22}, {13,25}, {6,56}, {13,54}, {8,35}, {10,42}, {20,45}, {14,41}, {9,51}, {4,54}, {18,36}, {4,43}, {3,29}, {16,48}, {3,26}, {16,38}, {9,22}, {7,31}, {12,33}, {11,54}, {13,30}, {12,57}, {7,47}, {5,54}, {18,59}, {11,39}, {5,44}, {6,26}, {8,40}, {12,53}, {12,30}, {18,25}, {10,32}, {17,29}, {20,25}, {11,46}, {16,44}, {4,58}, {20,60}, {19,36}, {19,56}, {6,41}, {1,35}, {19,32}, {11,26}, {3,53}, {7,23}, {6,36}, {4,34}, {10,36}, {18,22}, {1,47}, {4,49}, {2,31}, {15,38}, {8,55}, {18,45}, {10,56}, {12,24}, {7,27}, {15,23}, {14,35}, {20,53}, {1,41}, {6,59}, {13,59}, {6,39}, {14,46}, {13,34}, {11,34}, {13,39}, {13,45}, {7,37}, {9,31}, {16,28}, {19,27}, {15,58}, {14,26} }; // ETB60.83 // Bipartite(20,40) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10737418240 EdgesBipt[60][82]:={ {17,57}, {2,44}, {9,58}, {2,24}, {9,28}, {17,44}, {18,39}, {11,36}, {4,27}, {12,29}, {11,56}, {18,29}, {3,22}, {15,46}, {17,47}, {11,25}, {17,53}, {7,55}, {8,42}, {15,31}, {1,32}, {3,45}, {1,27}, {20,57}, {3,25}, {10,23}, {7,41}, {13,57}, {9,44}, {5,56}, {4,31}, {8,52}, {10,33}, {3,35}, {12,55}, {20,21}, {17,24}, {1,21}, {7,51}, {12,35}, {3,52}, {9,53}, {16,23}, {2,54}, {11,50}, {10,53}, {16,43}, {14,54}, {10,30}, {6,29}, {4,38}, {14,23}, {5,40}, {15,56}, {1,38}, {2,34}, {9,48}, {4,22}, {17,37}, {19,26}, {19,30}, {19,59}, {5,29}, {12,46}, {12,49}, {16,54}, {4,42}, {5,25}, {15,26}, {7,25}, {17,33}, {11,59}, {4,47}, {18,49}, {13,22}, {6,49}, {10,40}, {16,58}, {13,31}, {3,32}, {15,41}, {8,36}, {18,43}, {6,24}, {14,47}, {6,44}, {19,55}, {11,30}, {17,27}, {18,53}, {5,49}, {8,22}, {1,58}, {8,56}, {20,28}, {13,28}, {14,37}, {18,33}, {16,48}, {16,38}, {10,60}, {15,36}, {8,26}, {12,26}, {1,52}, {7,31}, {10,43}, {19,46}, {8,32}, {18,59}, {11,39}, {12,40}, {14,34}, {5,36}, {4,58}, {6,54}, {18,23}, {20,48}, {13,42}, {16,34}, {15,21}, {20,37}, {5,60}, {4,51}, {20,52}, {13,51}, {15,51}, {13,48}, {19,39}, {1,47}, {2,40}, {10,50}, {9,33}, {14,57}, {6,34}, {3,55}, {14,43}, {3,42}, {9,38}, {11,45}, {20,41}, {7,45}, {8,46}, {1,41}, {13,37}, {19,50}, {5,45}, {9,24}, {6,59}, {6,39}, {19,35}, {7,35}, {2,30}, {2,60}, {16,28}, {20,32}, {14,27}, {7,21}, {2,50}, {12,60} }; // ETB60.84 // Bipartite(20,40) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[60][83]:={ {6,48}, {17,50}, {6,32}, {17,35}, {2,46}, {11,35}, {5,34}, {4,26}, {12,51}, {2,56}, {15,46}, {4,53}, {12,56}, {11,25}, {7,48}, {17,53}, {12,22}, {2,51}, {8,42}, {19,44}, {15,49}, {8,33}, {1,27}, {19,24}, {9,44}, {8,52}, {12,41}, {12,42}, {16,59}, {9,43}, {11,41}, {17,21}, {12,58}, {2,41}, {13,47}, {5,32}, {8,31}, {2,42}, {19,21}, {18,42}, {14,54}, {16,30}, {15,29}, {3,34}, {5,40}, {20,38}, {11,38}, {11,33}, {20,50}, {1,38}, {4,60}, {14,60}, {2,36}, {10,38}, {10,47}, {15,32}, {18,57}, {15,40}, {12,36}, {5,29}, {12,46}, {10,52}, {19,22}, {7,39}, {17,39}, {10,54}, {8,60}, {6,55}, {6,30}, {14,53}, {1,29}, {7,50}, {7,53}, {16,32}, {11,23}, {1,23}, {11,29}, {14,55}, {6,44}, {9,37}, {5,46}, {5,49}, {15,37}, {15,34}, {17,48}, {6,56}, {14,58}, {13,28}, {20,45}, {4,55}, {3,27}, {20,51}, {4,54}, {1,33}, {10,45}, {20,43}, {18,33}, {16,48}, {3,26}, {13,36}, {17,31}, {18,31}, {10,51}, {9,22}, {7,31}, {18,52}, {13,30}, {10,43}, {8,57}, {17,28}, {16,45}, {9,57}, {13,24}, {18,59}, {8,40}, {14,49}, {1,25}, {16,44}, {4,58}, {13,27}, {18,60}, {1,35}, {14,25}, {5,39}, {16,56}, {7,28}, {13,26}, {3,30}, {3,24}, {11,27}, {20,52}, {6,45}, {2,22}, {19,43}, {4,49}, {10,50}, {20,47}, {2,58}, {4,25}, {3,28}, {1,41}, {15,39}, {18,40}, {9,24}, {6,59}, {13,34}, {3,47}, {7,35}, {19,57}, {20,54}, {19,23}, {5,37}, {9,21}, {3,36}, {9,23}, {19,37}, {8,59}, {7,21}, {16,55}, {14,26} }; // ETB60.85 // Bipartite(28,32) Valencies [8,7] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 672 EdgesBipt[60][84]:={ {2,44}, {9,58}, {3,33}, {13,52}, {2,33}, {18,39}, {18,29}, {25,51}, {15,46}, {12,45}, {17,47}, {10,37}, {4,50}, {25,39}, {7,48}, {17,53}, {26,47}, {25,56}, {16,47}, {8,54}, {16,31}, {9,55}, {1,32}, {28,60}, {20,40}, {14,38}, {9,49}, {21,42}, {22,52}, {3,58}, {28,32}, {12,55}, {24,51}, {26,33}, {22,32}, {11,41}, {7,51}, {26,53}, {21,57}, {23,48}, {24,44}, {2,41}, {23,43}, {5,32}, {8,44}, {17,46}, {13,29}, {12,50}, {24,60}, {4,38}, {28,56}, {3,34}, {11,38}, {20,50}, {21,46}, {1,38}, {14,33}, {27,54}, {9,47}, {9,29}, {14,36}, {28,47}, {22,55}, {5,29}, {8,41}, {2,37}, {16,54}, {26,29}, {17,51}, {22,35}, {4,42}, {28,50}, {9,41}, {10,54}, {3,56}, {28,44}, {16,52}, {7,49}, {27,40}, {11,31}, {23,36}, {10,59}, {2,59}, {20,33}, {6,30}, {27,58}, {27,31}, {24,52}, {2,57}, {2,48}, {26,35}, {1,29}, {7,30}, {26,37}, {7,53}, {18,30}, {3,32}, {4,35}, {18,44}, {15,50}, {8,36}, {4,57}, {13,43}, {14,55}, {19,41}, {19,55}, {15,35}, {11,30}, {5,46}, {28,37}, {1,60}, {5,49}, {15,34}, {1,45}, {1,58}, {25,58}, {27,53}, {5,48}, {6,56}, {10,42}, {20,45}, {19,31}, {20,58}, {20,51}, {18,36}, {26,36}, {4,43}, {10,45}, {26,34}, {1,43}, {22,43}, {21,33}, {24,35}, {16,49}, {7,31}, {18,52}, {12,57}, {14,59}, {17,54}, {21,39}, {21,56}, {23,53}, {5,54}, {25,59}, {9,57}, {19,60}, {8,58}, {5,44}, {21,29}, {14,49}, {17,59}, {10,32}, {11,46}, {25,49}, {1,53}, {17,41}, {22,47}, {19,36}, {9,30}, {10,39}, {22,59}, {24,38}, {13,42}, {16,56}, {28,30}, {4,37}, {23,40}, {14,45}, {17,60}, {25,43}, {16,36}, {8,34}, {8,38}, {23,46}, {3,48}, {8,50}, {10,34}, {13,51}, {15,51}, {11,32}, {13,48}, {23,56}, {19,39}, {19,43}, {27,57}, {13,41}, {20,42}, {6,38}, {4,49}, {2,40}, {11,40}, {16,42}, {12,52}, {20,47}, {6,34}, {3,55}, {27,35}, {18,45}, {21,60}, {6,52}, {12,48}, {7,45}, {22,40}, {27,39}, {23,50}, {3,31}, {15,39}, {18,40}, {6,59}, {14,46}, {13,34}, {6,53}, {15,30}, {7,37}, {5,35}, {24,33}, {15,55}, {11,42}, {12,54}, {19,37}, {25,44}, {6,57}, {24,31}, {12,60} }; // ETB60.86 // Bipartite(28,32) Valencies [8,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4438236667576320 EdgesBipt[60][85]:={ {17,57}, {6,48}, {2,44}, {11,53}, {3,33}, {22,60}, {13,32}, {6,32}, {17,56}, {13,40}, {11,56}, {18,29}, {23,29}, {24,48}, {12,51}, {25,51}, {15,46}, {4,30}, {4,50}, {14,51}, {9,45}, {7,55}, {8,42}, {15,49}, {27,48}, {22,46}, {12,38}, {5,56}, {23,55}, {9,49}, {10,33}, {22,52}, {3,58}, {28,49}, {21,35}, {25,29}, {21,59}, {28,55}, {8,39}, {7,51}, {21,43}, {15,54}, {12,35}, {21,57}, {10,44}, {13,47}, {9,53}, {3,57}, {1,30}, {5,32}, {17,40}, {20,30}, {8,31}, {21,49}, {16,29}, {13,55}, {23,39}, {18,37}, {13,56}, {4,38}, {3,34}, {5,40}, {20,38}, {6,40}, {1,38}, {27,54}, {14,60}, {2,36}, {20,55}, {3,49}, {9,29}, {14,36}, {28,47}, {16,53}, {25,53}, {27,30}, {19,59}, {12,46}, {8,47}, {10,52}, {2,52}, {23,45}, {5,43}, {7,39}, {4,42}, {24,58}, {9,41}, {2,39}, {26,60}, {24,42}, {10,41}, {27,40}, {7,43}, {20,31}, {17,33}, {6,60}, {22,44}, {24,32}, {28,41}, {16,37}, {12,43}, {16,58}, {1,29}, {13,31}, {23,37}, {15,41}, {18,44}, {19,42}, {11,29}, {21,51}, {6,44}, {27,46}, {9,37}, {27,38}, {17,49}, {26,52}, {18,53}, {19,58}, {1,45}, {17,48}, {5,48}, {6,56}, {24,34}, {23,47}, {3,50}, {25,45}, {4,54}, {18,36}, {26,36}, {26,34}, {28,57}, {27,56}, {4,46}, {10,60}, {21,33}, {24,56}, {25,37}, {7,31}, {24,40}, {26,42}, {18,52}, {14,59}, {25,35}, {12,59}, {7,47}, {23,53}, {16,45}, {7,59}, {25,59}, {9,57}, {8,58}, {28,33}, {5,59}, {20,39}, {12,30}, {22,54}, {19,51}, {1,46}, {4,58}, {5,51}, {1,53}, {17,41}, {20,46}, {27,32}, {18,60}, {1,37}, {16,34}, {28,39}, {25,43}, {6,36}, {8,34}, {11,37}, {14,44}, {4,34}, {10,36}, {8,50}, {26,58}, {11,32}, {13,48}, {15,33}, {19,43}, {2,47}, {10,49}, {2,31}, {14,52}, {11,40}, {9,33}, {16,42}, {20,47}, {14,43}, {15,38}, {8,55}, {18,45}, {10,57}, {3,42}, {6,52}, {15,57}, {11,45}, {11,48}, {26,44}, {28,31}, {14,35}, {19,50}, {3,41}, {23,31}, {2,55}, {19,35}, {7,35}, {13,39}, {16,50}, {20,54}, {19,34}, {15,30}, {5,35}, {1,54}, {22,30}, {22,36}, {2,60}, {21,41}, {26,50}, {17,32}, {12,54}, {24,50}, {22,38} }; // ETB60.87 // Bipartite(28,32) Valencies [8,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7340032 EdgesBipt[60][86]:={ {16,41}, {17,50}, {3,60}, {28,58}, {13,52}, {22,60}, {18,39}, {13,40}, {11,56}, {21,48}, {16,33}, {17,47}, {26,31}, {21,32}, {7,48}, {26,47}, {5,55}, {5,38}, {25,56}, {12,32}, {16,57}, {19,44}, {18,38}, {21,37}, {22,46}, {3,45}, {20,40}, {17,34}, {14,38}, {22,42}, {23,54}, {25,33}, {12,42}, {5,47}, {18,54}, {9,43}, {27,59}, {15,48}, {25,30}, {8,39}, {19,48}, {26,53}, {14,50}, {15,43}, {3,52}, {12,58}, {13,47}, {18,41}, {8,44}, {17,46}, {2,54}, {2,42}, {14,54}, {21,52}, {13,56}, {16,30}, {19,33}, {28,56}, {11,38}, {11,33}, {7,56}, {1,50}, {6,58}, {10,47}, {1,55}, {15,32}, {28,47}, {16,53}, {27,30}, {18,57}, {22,55}, {25,36}, {12,36}, {4,41}, {2,38}, {12,46}, {24,43}, {11,49}, {28,34}, {19,29}, {28,50}, {9,41}, {26,60}, {7,32}, {10,41}, {8,60}, {1,51}, {3,44}, {2,59}, {11,59}, {4,33}, {10,29}, {10,31}, {6,60}, {22,44}, {9,34}, {6,49}, {18,55}, {2,48}, {16,37}, {17,43}, {9,50}, {1,29}, {13,31}, {26,37}, {7,53}, {23,35}, {2,32}, {6,33}, {4,57}, {24,45}, {13,44}, {5,30}, {6,44}, {27,46}, {17,30}, {15,35}, {4,48}, {5,46}, {8,53}, {14,42}, {1,45}, {27,53}, {14,58}, {4,55}, {20,58}, {23,47}, {23,38}, {20,51}, {18,36}, {10,45}, {3,29}, {8,37}, {13,36}, {24,56}, {16,49}, {10,51}, {17,31}, {24,40}, {24,41}, {25,40}, {11,54}, {18,52}, {13,60}, {6,51}, {28,40}, {5,54}, {22,39}, {22,58}, {9,57}, {19,60}, {5,31}, {12,30}, {14,34}, {24,57}, {1,39}, {17,59}, {28,42}, {25,49}, {19,45}, {26,41}, {7,29}, {21,50}, {1,35}, {19,49}, {5,39}, {20,35}, {19,32}, {20,37}, {23,49}, {6,42}, {14,45}, {25,46}, {10,35}, {8,34}, {23,33}, {8,50}, {15,51}, {20,42}, {21,53}, {26,57}, {4,49}, {11,40}, {12,52}, {9,36}, {25,52}, {27,35}, {8,55}, {2,58}, {16,46}, {10,57}, {27,51}, {12,48}, {27,37}, {3,38}, {24,29}, {9,52}, {26,44}, {28,31}, {7,45}, {20,53}, {15,59}, {27,43}, {21,36}, {23,31}, {3,54}, {15,39}, {21,34}, {20,56}, {11,43}, {7,37}, {22,30}, {1,34}, {9,59}, {2,43}, {15,55}, {6,35}, {3,36}, {4,39}, {7,40}, {4,32}, {14,29}, {23,51}, {24,59} }; // ETB60.88 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 480 EdgesBipt[60][87]:={ {17,57}, {6,48}, {15,52}, {11,53}, {28,58}, {22,60}, {2,33}, {17,44}, {29,51}, {29,40}, {21,48}, {12,51}, {25,51}, {17,47}, {10,37}, {25,39}, {18,46}, {21,32}, {30,45}, {4,56}, {17,53}, {5,55}, {2,51}, {7,38}, {8,42}, {15,49}, {27,47}, {27,48}, {1,32}, {8,33}, {20,57}, {30,54}, {12,41}, {9,49}, {25,33}, {22,52}, {13,53}, {28,32}, {16,59}, {5,47}, {18,54}, {26,59}, {21,59}, {9,43}, {18,56}, {15,47}, {21,43}, {15,54}, {16,60}, {12,35}, {26,53}, {7,36}, {23,48}, {10,44}, {3,52}, {17,40}, {29,42}, {27,44}, {28,35}, {8,31}, {18,42}, {16,43}, {23,52}, {28,56}, {29,52}, {3,46}, {6,40}, {21,46}, {1,38}, {14,33}, {2,36}, {1,50}, {9,47}, {20,55}, {3,49}, {7,57}, {19,40}, {1,55}, {9,32}, {14,36}, {15,32}, {30,47}, {4,41}, {24,43}, {29,44}, {10,52}, {23,45}, {12,44}, {22,35}, {22,41}, {28,50}, {9,41}, {2,39}, {26,60}, {24,42}, {26,40}, {1,31}, {7,49}, {11,31}, {30,34}, {28,54}, {30,43}, {6,43}, {9,54}, {22,44}, {1,59}, {20,59}, {13,49}, {2,57}, {4,59}, {18,55}, {16,37}, {3,39}, {13,31}, {26,37}, {7,53}, {4,35}, {19,42}, {13,50}, {6,44}, {15,35}, {27,38}, {28,37}, {14,42}, {17,48}, {25,58}, {6,56}, {26,38}, {27,36}, {14,58}, {20,45}, {19,31}, {24,34}, {23,47}, {3,50}, {14,37}, {25,45}, {27,49}, {10,46}, {4,43}, {26,34}, {18,33}, {16,48}, {16,38}, {10,60}, {8,37}, {24,56}, {21,38}, {24,35}, {18,31}, {12,33}, {24,41}, {26,42}, {11,54}, {12,57}, {4,36}, {14,59}, {23,53}, {25,32}, {5,54}, {8,32}, {22,39}, {22,58}, {19,60}, {8,58}, {30,41}, {12,40}, {20,49}, {14,34}, {24,57}, {11,55}, {27,41}, {19,51}, {11,46}, {16,44}, {4,58}, {25,49}, {5,51}, {29,56}, {1,53}, {17,41}, {25,55}, {7,60}, {10,39}, {21,50}, {27,60}, {16,56}, {4,37}, {6,42}, {29,46}, {5,33}, {20,34}, {23,46}, {3,48}, {8,50}, {13,51}, {29,31}, {30,55}, {19,39}, {2,40}, {10,50}, {14,57}, {9,36}, {12,52}, {20,36}, {6,34}, {28,46}, {8,55}, {2,58}, {13,38}, {10,56}, {17,45}, {3,38}, {11,48}, {7,45}, {19,50}, {5,45}, {23,31}, {15,39}, {11,34}, {3,47}, {30,57}, {13,39}, {11,43}, {6,53}, {13,45}, {5,35}, {22,36}, {1,34}, {2,60}, {9,59}, {24,33}, {18,35}, {7,40}, {19,37}, {20,32}, {5,52}, {15,58}, {21,54}, {23,51} }; // ETB60.89 // Bipartite(30,30) Valencies [8,8] // Diameter 6 Girth 4 // Twin-free VT AT // Automorphism group of order 2880 EdgesBipt[60][88]:={ {24,34}, {15,33}, {30,54}, {10,37}, {16,47}, {9,32}, {5,38}, {26,46}, {23,53}, {11,59}, {22,40}, {13,37}, {1,40}, {26,49}, {15,54}, {14,50}, {26,43}, {20,46}, {10,33}, {14,31}, {29,48}, {27,33}, {2,49}, {21,54}, {3,39}, {15,56}, {20,37}, {1,35}, {4,37}, {13,43}, {6,58}, {27,56}, {2,33}, {10,56}, {15,57}, {27,36}, {20,38}, {19,40}, {2,34}, {26,38}, {19,31}, {4,43}, {16,42}, {30,52}, {16,48}, {20,43}, {13,59}, {8,46}, {8,37}, {24,46}, {17,39}, {16,60}, {29,44}, {7,41}, {23,31}, {23,54}, {17,59}, {30,57}, {23,36}, {11,39}, {22,42}, {12,31}, {5,60}, {18,58}, {24,47}, {24,45}, {23,58}, {18,57}, {9,47}, {12,52}, {4,49}, {5,34}, {29,47}, {8,49}, {28,60}, {18,36}, {6,51}, {21,55}, {14,35}, {3,47}, {1,42}, {28,40}, {7,32}, {1,31}, {18,55}, {13,49}, {7,53}, {30,31}, {28,42}, {30,55}, {27,57}, {2,44}, {8,56}, {6,36}, {18,51}, {27,52}, {22,48}, {10,57}, {30,51}, {11,48}, {10,55}, {27,37}, {21,37}, {28,48}, {29,59}, {26,44}, {12,55}, {1,51}, {25,32}, {24,39}, {11,44}, {8,59}, {11,34}, {24,59}, {2,43}, {25,41}, {4,57}, {7,58}, {17,46}, {13,56}, {22,50}, {23,35}, {24,38}, {5,39}, {22,45}, {16,41}, {20,44}, {17,44}, {19,41}, {8,34}, {29,38}, {25,53}, {28,45}, {10,52}, {19,50}, {3,42}, {13,38}, {15,49}, {10,54}, {19,53}, {18,31}, {14,40}, {9,41}, {20,59}, {3,41}, {4,36}, {1,32}, {25,50}, {28,32}, {22,39}, {6,57}, {3,60}, {21,49}, {24,60}, {7,40}, {25,42}, {29,45}, {23,57}, {21,52}, {28,39}, {14,58}, {23,52}, {29,60}, {5,46}, {27,49}, {3,50}, {30,35}, {11,47}, {18,52}, {11,45}, {21,33}, {12,36}, {3,45}, {2,37}, {16,50}, {30,53}, {27,55}, {7,31}, {8,33}, {5,47}, {12,58}, {17,34}, {6,54}, {15,55}, {7,51}, {20,33}, {19,35}, {13,34}, {17,60}, {9,50}, {21,43}, {7,42}, {29,46}, {9,60}, {8,44}, {19,32}, {18,53}, {1,50}, {14,42}, {3,40}, {17,45}, {9,45}, {14,41}, {16,39}, {26,34}, {20,56}, {2,38}, {2,59}, {15,36}, {25,35}, {10,43}, {21,36}, {6,55}, {6,53}, {9,40}, {19,51}, {5,44}, {12,54}, {4,52}, {26,33}, {22,47}, {14,53}, {22,32}, {15,43}, {13,46}, {12,35}, {6,35}, {28,41}, {25,58}, {1,58}, {26,56}, {16,32}, {12,51}, {9,48}, {17,48}, {5,48}, {4,56}, {4,54}, {11,38}, {25,51} }; // ETB60.90 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 480 EdgesBipt[60][89]:={ {2,44}, {9,58}, {16,41}, {30,60}, {2,33}, {17,36}, {11,36}, {18,39}, {21,45}, {29,51}, {13,40}, {18,48}, {12,51}, {25,51}, {12,45}, {10,37}, {4,50}, {18,46}, {21,47}, {30,45}, {17,53}, {16,47}, {19,44}, {25,38}, {28,45}, {21,37}, {27,48}, {9,55}, {1,57}, {1,32}, {3,45}, {28,60}, {3,43}, {7,41}, {7,44}, {1,40}, {17,34}, {30,54}, {13,57}, {12,39}, {21,55}, {23,60}, {22,42}, {22,52}, {3,58}, {25,50}, {12,55}, {5,47}, {29,59}, {3,37}, {18,56}, {26,33}, {28,55}, {29,35}, {22,32}, {15,54}, {16,60}, {12,35}, {23,59}, {26,53}, {30,53}, {15,43}, {8,31}, {21,49}, {23,52}, {19,33}, {15,56}, {11,38}, {29,52}, {10,48}, {4,60}, {2,34}, {9,47}, {3,49}, {7,57}, {19,40}, {18,57}, {4,41}, {2,38}, {2,37}, {17,51}, {7,46}, {4,42}, {30,48}, {10,54}, {3,56}, {24,39}, {1,31}, {10,41}, {19,53}, {23,34}, {27,40}, {11,44}, {23,36}, {1,51}, {19,38}, {2,59}, {25,34}, {11,59}, {6,55}, {4,47}, {27,58}, {15,42}, {17,55}, {25,41}, {28,41}, {20,59}, {14,53}, {4,52}, {26,35}, {9,50}, {3,39}, {13,31}, {23,35}, {18,44}, {16,32}, {24,45}, {13,50}, {6,46}, {9,56}, {12,47}, {28,37}, {8,53}, {19,58}, {5,48}, {6,56}, {14,58}, {19,31}, {27,52}, {23,47}, {14,37}, {27,49}, {20,51}, {10,45}, {20,43}, {16,48}, {27,56}, {29,47}, {1,43}, {22,43}, {10,60}, {21,33}, {15,36}, {24,56}, {16,49}, {17,31}, {26,42}, {11,54}, {18,52}, {12,57}, {4,36}, {14,59}, {10,43}, {21,39}, {6,51}, {23,53}, {9,40}, {25,32}, {11,52}, {8,32}, {1,42}, {7,59}, {28,36}, {8,58}, {18,59}, {5,44}, {8,40}, {28,33}, {14,34}, {24,57}, {14,49}, {10,32}, {22,54}, {28,42}, {25,49}, {6,54}, {29,56}, {20,46}, {27,32}, {21,50}, {13,46}, {1,35}, {24,38}, {13,42}, {5,39}, {20,35}, {20,37}, {5,60}, {29,46}, {25,46}, {4,40}, {17,60}, {6,36}, {8,34}, {26,58}, {15,33}, {13,41}, {26,57}, {30,38}, {6,38}, {9,33}, {6,34}, {30,44}, {22,48}, {14,43}, {8,49}, {16,39}, {13,38}, {17,45}, {9,52}, {11,48}, {26,44}, {20,41}, {14,35}, {22,40}, {27,39}, {19,50}, {3,54}, {8,51}, {24,46}, {30,31}, {7,33}, {12,31}, {26,43}, {11,34}, {16,50}, {7,37}, {5,35}, {22,36}, {15,55}, {29,55}, {7,42}, {20,32}, {5,57}, {24,54}, {24,31}, {5,53}, {15,58}, {2,49}, {2,50} }; // ETB60.91 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2880 EdgesBipt[60][90]:={ {8,48}, {11,53}, {3,60}, {17,50}, {2,33}, {28,52}, {2,46}, {11,35}, {29,51}, {29,40}, {13,40}, {11,56}, {21,48}, {21,40}, {25,51}, {30,58}, {4,53}, {18,32}, {21,47}, {14,39}, {2,51}, {25,56}, {16,57}, {25,38}, {29,33}, {22,46}, {24,55}, {28,60}, {12,38}, {7,41}, {7,44}, {30,54}, {9,44}, {12,41}, {9,49}, {21,42}, {13,53}, {3,35}, {29,59}, {9,43}, {3,37}, {15,48}, {24,51}, {26,33}, {28,55}, {29,57}, {7,34}, {22,32}, {15,47}, {15,54}, {29,41}, {30,53}, {15,43}, {24,44}, {9,53}, {12,34}, {23,43}, {29,42}, {8,31}, {18,58}, {12,37}, {2,42}, {23,39}, {18,42}, {21,52}, {15,45}, {19,33}, {15,56}, {20,38}, {10,48}, {11,33}, {6,31}, {1,38}, {14,33}, {26,45}, {1,50}, {19,54}, {20,55}, {6,58}, {17,37}, {1,55}, {9,32}, {28,47}, {24,37}, {25,36}, {8,47}, {28,34}, {12,49}, {2,52}, {23,45}, {5,43}, {7,46}, {26,60}, {17,39}, {7,32}, {1,31}, {10,41}, {23,34}, {4,45}, {27,40}, {2,53}, {11,31}, {22,57}, {23,36}, {3,44}, {6,55}, {27,58}, {22,44}, {27,31}, {24,52}, {20,59}, {29,34}, {30,39}, {16,37}, {9,50}, {7,50}, {3,39}, {8,36}, {16,32}, {13,43}, {30,35}, {20,44}, {14,55}, {14,47}, {6,44}, {27,46}, {17,49}, {8,53}, {1,60}, {11,60}, {15,34}, {19,58}, {17,48}, {6,56}, {14,58}, {8,35}, {14,41}, {23,38}, {27,49}, {4,54}, {28,57}, {27,56}, {4,46}, {10,60}, {21,33}, {24,35}, {17,31}, {10,51}, {25,37}, {24,40}, {18,52}, {12,57}, {10,55}, {4,36}, {5,41}, {17,54}, {21,56}, {9,40}, {25,47}, {5,54}, {22,39}, {7,59}, {25,59}, {9,57}, {19,60}, {8,58}, {5,59}, {20,49}, {17,59}, {22,54}, {5,36}, {25,49}, {19,36}, {22,31}, {10,39}, {18,60}, {13,46}, {20,48}, {20,35}, {19,32}, {6,42}, {14,45}, {28,39}, {4,40}, {16,35}, {4,34}, {30,50}, {10,36}, {26,58}, {15,51}, {11,32}, {13,48}, {14,32}, {19,43}, {20,42}, {26,57}, {30,38}, {1,47}, {4,49}, {18,51}, {16,42}, {12,52}, {27,35}, {16,46}, {18,45}, {3,42}, {13,38}, {12,48}, {10,56}, {11,45}, {26,44}, {1,41}, {13,37}, {5,45}, {23,50}, {27,43}, {21,36}, {3,41}, {23,31}, {26,46}, {18,40}, {13,59}, {8,51}, {30,56}, {6,37}, {3,47}, {16,50}, {6,53}, {19,34}, {1,54}, {7,52}, {28,59}, {2,43}, {24,33}, {26,50}, {5,52}, {5,57}, {16,55}, {2,49}, {22,38} }; // ETB60.92 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 480 EdgesBipt[60][91]:={ {17,57}, {6,48}, {2,44}, {16,41}, {28,58}, {13,52}, {14,56}, {30,60}, {17,36}, {17,56}, {21,40}, {17,38}, {15,46}, {10,37}, {16,40}, {21,32}, {22,37}, {7,48}, {4,56}, {17,53}, {26,47}, {8,43}, {9,45}, {7,55}, {7,38}, {19,44}, {21,58}, {28,45}, {29,33}, {27,47}, {3,45}, {20,40}, {1,40}, {22,42}, {23,55}, {9,49}, {13,53}, {3,35}, {28,49}, {29,59}, {26,59}, {3,37}, {27,59}, {26,33}, {29,57}, {8,39}, {7,51}, {15,54}, {26,53}, {24,44}, {3,52}, {2,41}, {3,57}, {24,36}, {12,34}, {9,35}, {17,46}, {29,39}, {8,31}, {21,49}, {11,50}, {2,42}, {25,60}, {16,43}, {14,54}, {18,37}, {2,45}, {23,52}, {28,56}, {5,40}, {11,38}, {10,48}, {11,33}, {20,50}, {27,54}, {14,60}, {10,47}, {13,58}, {14,36}, {9,32}, {15,32}, {12,36}, {2,38}, {11,49}, {28,34}, {12,44}, {22,35}, {30,48}, {7,32}, {29,53}, {1,31}, {16,52}, {10,41}, {19,53}, {22,57}, {30,34}, {10,59}, {20,33}, {4,47}, {9,54}, {23,41}, {22,44}, {27,31}, {15,42}, {28,41}, {2,57}, {28,53}, {18,55}, {2,48}, {12,43}, {16,58}, {7,50}, {3,39}, {29,37}, {23,37}, {13,33}, {14,48}, {15,50}, {18,43}, {13,43}, {21,51}, {19,41}, {9,56}, {12,47}, {4,48}, {8,53}, {5,49}, {14,42}, {1,58}, {8,35}, {24,34}, {3,50}, {18,47}, {23,38}, {25,45}, {20,51}, {26,36}, {1,33}, {22,43}, {21,33}, {15,36}, {24,56}, {21,38}, {24,35}, {16,49}, {10,51}, {18,31}, {27,42}, {18,52}, {10,43}, {10,55}, {4,36}, {25,35}, {12,59}, {6,51}, {21,56}, {11,52}, {5,54}, {8,58}, {5,31}, {11,39}, {30,40}, {1,39}, {1,46}, {4,58}, {20,60}, {25,49}, {19,45}, {25,42}, {25,55}, {6,41}, {7,60}, {22,31}, {18,60}, {22,59}, {27,60}, {16,34}, {5,39}, {5,60}, {29,46}, {4,40}, {6,36}, {8,34}, {4,51}, {23,33}, {14,44}, {4,34}, {26,58}, {11,32}, {14,32}, {30,55}, {19,43}, {13,41}, {1,47}, {6,38}, {26,51}, {20,47}, {29,50}, {25,52}, {30,44}, {3,42}, {28,38}, {9,39}, {12,48}, {27,37}, {17,45}, {15,57}, {11,45}, {8,46}, {13,37}, {15,59}, {23,50}, {30,49}, {26,46}, {18,40}, {6,59}, {9,46}, {24,46}, {2,55}, {30,56}, {12,31}, {19,35}, {13,39}, {19,57}, {6,53}, {20,54}, {19,34}, {5,35}, {1,54}, {17,32}, {27,50}, {7,42}, {20,32}, {5,52}, {24,54}, {25,44}, {6,57}, {24,31}, {16,55}, {23,51} }; // ETB60.93 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 240 EdgesBipt[60][92]:={ {9,58}, {13,32}, {2,33}, {28,52}, {11,36}, {17,56}, {2,46}, {29,49}, {12,51}, {2,56}, {21,40}, {3,40}, {17,38}, {15,46}, {12,45}, {17,47}, {18,32}, {4,50}, {14,51}, {18,46}, {21,32}, {22,37}, {29,60}, {21,47}, {4,56}, {5,55}, {8,43}, {9,45}, {5,38}, {12,32}, {30,33}, {16,57}, {19,44}, {21,58}, {28,45}, {27,47}, {1,57}, {3,45}, {12,38}, {28,48}, {1,40}, {7,54}, {30,54}, {5,56}, {12,39}, {8,52}, {22,42}, {3,35}, {25,50}, {21,35}, {30,46}, {27,59}, {15,48}, {26,33}, {16,60}, {26,53}, {12,58}, {2,41}, {13,47}, {24,36}, {12,34}, {23,44}, {24,60}, {25,60}, {16,43}, {18,37}, {2,45}, {3,34}, {29,52}, {10,48}, {11,33}, {6,31}, {6,40}, {20,50}, {26,45}, {27,54}, {19,54}, {19,40}, {6,58}, {10,47}, {9,32}, {15,32}, {16,53}, {30,47}, {19,59}, {25,36}, {15,40}, {1,44}, {2,38}, {29,44}, {11,49}, {28,34}, {12,44}, {17,51}, {7,39}, {4,42}, {30,48}, {22,56}, {7,32}, {1,31}, {10,41}, {23,34}, {7,49}, {2,53}, {11,31}, {30,34}, {21,44}, {10,59}, {11,59}, {20,33}, {27,58}, {1,59}, {3,51}, {15,42}, {28,41}, {4,59}, {14,53}, {26,35}, {26,48}, {30,39}, {17,43}, {9,50}, {16,58}, {3,39}, {29,37}, {23,37}, {24,47}, {15,41}, {13,33}, {6,50}, {14,55}, {9,37}, {27,38}, {28,37}, {8,53}, {1,60}, {15,34}, {25,58}, {27,53}, {5,48}, {24,49}, {13,54}, {20,45}, {4,55}, {23,57}, {14,37}, {23,38}, {27,49}, {18,36}, {20,43}, {22,43}, {10,60}, {15,36}, {13,36}, {21,38}, {24,35}, {16,49}, {18,31}, {7,31}, {24,41}, {18,52}, {10,43}, {10,55}, {4,36}, {5,41}, {17,54}, {16,51}, {5,54}, {1,42}, {25,59}, {9,57}, {30,40}, {22,33}, {26,54}, {11,55}, {17,59}, {1,39}, {28,42}, {5,51}, {25,42}, {29,56}, {7,60}, {22,31}, {13,42}, {19,49}, {16,56}, {19,32}, {22,50}, {4,37}, {3,53}, {10,35}, {17,60}, {6,36}, {8,34}, {20,52}, {8,38}, {20,34}, {14,44}, {23,46}, {8,50}, {27,57}, {13,41}, {21,53}, {4,49}, {14,52}, {26,51}, {14,57}, {25,52}, {22,48}, {14,43}, {8,55}, {18,45}, {9,39}, {6,52}, {11,48}, {20,41}, {28,31}, {8,46}, {29,58}, {23,50}, {26,46}, {18,40}, {9,46}, {6,39}, {2,55}, {3,47}, {19,35}, {20,56}, {7,35}, {13,39}, {11,43}, {19,57}, {5,35}, {24,33}, {29,55}, {7,42}, {25,44}, {6,57}, {24,31}, {23,51} }; // ETB60.94 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1440 EdgesBipt[60][93]:={ {8,48}, {11,53}, {28,58}, {14,56}, {13,32}, {28,52}, {11,35}, {29,40}, {21,48}, {21,40}, {3,40}, {25,51}, {12,45}, {1,56}, {29,60}, {21,47}, {12,32}, {30,33}, {16,57}, {21,58}, {25,38}, {27,48}, {18,50}, {22,46}, {28,60}, {12,38}, {7,54}, {5,56}, {9,49}, {21,42}, {9,43}, {3,37}, {27,59}, {15,48}, {19,47}, {26,33}, {7,34}, {22,32}, {11,41}, {15,47}, {7,36}, {24,44}, {10,44}, {12,58}, {3,52}, {12,34}, {29,42}, {8,44}, {2,54}, {2,42}, {23,39}, {18,42}, {16,43}, {18,37}, {30,59}, {15,45}, {19,33}, {28,56}, {3,34}, {15,56}, {20,38}, {3,46}, {11,33}, {14,33}, {14,60}, {20,55}, {10,47}, {1,55}, {9,32}, {24,37}, {22,55}, {8,41}, {2,38}, {8,47}, {24,43}, {11,49}, {28,34}, {10,52}, {23,45}, {17,51}, {14,40}, {7,46}, {4,42}, {26,60}, {17,39}, {7,32}, {1,31}, {10,41}, {4,45}, {2,53}, {22,57}, {5,58}, {23,36}, {21,44}, {1,51}, {3,44}, {6,55}, {6,43}, {18,49}, {9,54}, {15,42}, {17,55}, {20,59}, {2,48}, {29,34}, {30,39}, {16,37}, {29,54}, {10,40}, {9,50}, {7,50}, {26,37}, {4,35}, {11,57}, {23,35}, {19,42}, {25,48}, {16,32}, {13,43}, {30,35}, {20,44}, {14,47}, {6,44}, {15,35}, {4,48}, {8,53}, {18,53}, {25,58}, {27,53}, {29,38}, {13,54}, {8,35}, {24,34}, {14,41}, {14,37}, {18,47}, {25,45}, {27,49}, {4,54}, {26,36}, {1,33}, {20,43}, {21,38}, {17,31}, {10,51}, {5,42}, {17,52}, {1,52}, {7,31}, {24,40}, {10,58}, {4,36}, {28,40}, {5,54}, {22,39}, {25,59}, {9,57}, {19,60}, {5,31}, {22,33}, {30,41}, {17,59}, {5,36}, {1,46}, {19,36}, {19,56}, {6,41}, {7,60}, {22,31}, {18,60}, {24,38}, {19,49}, {16,34}, {5,60}, {11,37}, {20,52}, {20,34}, {23,33}, {15,51}, {13,48}, {23,56}, {30,55}, {24,53}, {27,57}, {21,53}, {26,57}, {4,49}, {12,52}, {9,36}, {29,50}, {25,52}, {28,46}, {3,55}, {11,47}, {27,35}, {16,46}, {9,39}, {13,38}, {10,56}, {17,45}, {28,31}, {29,58}, {1,41}, {27,39}, {5,45}, {27,43}, {3,41}, {23,31}, {26,46}, {18,40}, {30,51}, {6,59}, {13,59}, {8,51}, {14,46}, {12,31}, {6,37}, {19,35}, {30,57}, {13,39}, {16,50}, {6,53}, {13,45}, {22,36}, {26,49}, {2,43}, {26,50}, {17,32}, {12,54}, {4,39}, {20,32}, {8,59}, {24,50}, {25,44}, {6,57}, {16,55}, {15,58}, {2,49}, {2,50}, {23,51} }; // ETB60.95 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 1440 EdgesBipt[60][94]:={ {15,52}, {3,60}, {13,52}, {6,32}, {17,35}, {17,44}, {28,52}, {11,36}, {2,46}, {11,35}, {5,34}, {21,48}, {29,49}, {24,48}, {12,51}, {10,37}, {18,32}, {12,56}, {4,50}, {26,31}, {16,40}, {14,51}, {21,47}, {30,45}, {4,56}, {8,43}, {2,51}, {25,56}, {16,47}, {12,32}, {15,49}, {18,38}, {24,55}, {3,43}, {7,44}, {9,44}, {4,31}, {15,44}, {10,33}, {3,58}, {5,47}, {21,35}, {29,59}, {3,37}, {19,47}, {18,56}, {28,55}, {22,32}, {7,51}, {15,54}, {16,60}, {26,53}, {30,53}, {27,33}, {3,57}, {9,53}, {29,48}, {17,46}, {28,35}, {12,37}, {11,50}, {2,42}, {24,60}, {21,52}, {13,56}, {23,32}, {19,33}, {3,34}, {15,56}, {11,38}, {6,40}, {20,50}, {14,33}, {26,45}, {27,54}, {14,60}, {10,38}, {3,49}, {17,37}, {14,36}, {30,47}, {22,55}, {25,36}, {2,37}, {12,44}, {7,46}, {7,39}, {9,41}, {26,60}, {10,54}, {24,39}, {24,42}, {1,31}, {23,34}, {11,31}, {20,31}, {23,36}, {19,38}, {25,34}, {4,47}, {6,43}, {27,58}, {23,41}, {22,44}, {27,31}, {9,34}, {6,49}, {9,42}, {20,59}, {18,55}, {2,48}, {4,52}, {26,48}, {29,54}, {16,58}, {7,50}, {2,32}, {15,53}, {30,36}, {13,43}, {20,44}, {14,55}, {17,49}, {28,37}, {8,53}, {11,60}, {18,53}, {6,56}, {14,58}, {4,55}, {18,47}, {9,51}, {10,46}, {1,33}, {28,57}, {1,43}, {16,38}, {21,38}, {24,35}, {18,31}, {25,37}, {1,52}, {25,40}, {12,57}, {10,55}, {14,59}, {10,43}, {8,57}, {28,40}, {9,40}, {5,54}, {8,32}, {22,39}, {22,58}, {25,59}, {8,58}, {18,59}, {1,49}, {30,40}, {30,41}, {26,54}, {27,45}, {5,59}, {20,49}, {24,57}, {27,41}, {28,42}, {19,45}, {5,51}, {1,53}, {17,41}, {19,36}, {27,32}, {10,39}, {1,35}, {20,48}, {13,42}, {5,60}, {6,42}, {29,46}, {25,46}, {17,60}, {8,34}, {5,33}, {4,51}, {6,45}, {8,38}, {20,34}, {22,49}, {23,33}, {14,44}, {23,46}, {26,58}, {13,48}, {15,33}, {23,56}, {19,39}, {24,53}, {13,41}, {2,47}, {20,42}, {11,40}, {16,42}, {29,50}, {25,52}, {2,58}, {16,46}, {13,38}, {12,48}, {17,45}, {15,57}, {26,39}, {7,45}, {22,40}, {23,50}, {3,41}, {21,34}, {30,51}, {6,39}, {30,57}, {7,35}, {16,50}, {11,43}, {19,57}, {13,45}, {5,35}, {22,36}, {9,31}, {7,52}, {29,43}, {21,41}, {28,59}, {27,50}, {12,54}, {4,39}, {29,55}, {19,37}, {8,59}, {1,36}, {21,54} }; // ETB60.96 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 773094113280 EdgesBipt[60][95]:={ {2,44}, {9,58}, {3,33}, {13,32}, {30,60}, {17,44}, {17,56}, {21,45}, {29,51}, {29,40}, {18,48}, {2,56}, {21,40}, {17,38}, {30,58}, {10,37}, {4,50}, {26,31}, {14,51}, {22,37}, {30,45}, {17,53}, {16,47}, {28,45}, {16,31}, {18,38}, {1,32}, {28,60}, {7,41}, {28,48}, {7,54}, {4,31}, {21,55}, {9,49}, {25,33}, {10,33}, {12,42}, {21,42}, {22,52}, {28,32}, {5,47}, {26,59}, {9,43}, {27,59}, {14,31}, {19,48}, {12,35}, {30,53}, {15,43}, {21,57}, {2,41}, {3,57}, {13,47}, {5,32}, {17,40}, {27,44}, {12,37}, {12,50}, {15,60}, {18,42}, {7,58}, {13,56}, {15,45}, {19,33}, {28,56}, {10,48}, {6,40}, {1,38}, {26,45}, {7,56}, {9,47}, {19,54}, {14,36}, {9,32}, {28,47}, {16,53}, {18,57}, {8,41}, {2,38}, {24,43}, {11,49}, {29,36}, {10,52}, {12,44}, {14,40}, {7,39}, {22,41}, {24,58}, {22,56}, {26,60}, {24,42}, {1,31}, {16,52}, {23,34}, {2,53}, {7,43}, {11,31}, {11,44}, {23,36}, {2,59}, {25,34}, {11,59}, {30,43}, {6,55}, {4,33}, {23,41}, {6,60}, {9,34}, {3,51}, {17,55}, {24,32}, {9,42}, {28,41}, {20,59}, {16,37}, {10,40}, {4,35}, {24,47}, {23,35}, {8,36}, {15,50}, {13,33}, {25,48}, {15,53}, {16,32}, {30,35}, {20,44}, {14,55}, {15,35}, {4,48}, {11,60}, {18,53}, {24,49}, {8,56}, {14,58}, {8,35}, {19,31}, {27,52}, {24,34}, {20,51}, {4,54}, {18,36}, {26,34}, {18,33}, {4,46}, {16,38}, {22,43}, {25,37}, {1,52}, {27,42}, {25,40}, {12,57}, {10,55}, {13,60}, {12,59}, {21,39}, {19,46}, {5,54}, {22,39}, {22,58}, {9,57}, {5,44}, {28,33}, {5,59}, {20,39}, {24,57}, {17,59}, {22,54}, {5,36}, {1,46}, {11,46}, {25,49}, {6,54}, {5,51}, {1,53}, {17,41}, {25,55}, {1,37}, {5,39}, {23,49}, {6,42}, {29,46}, {3,53}, {8,34}, {6,45}, {30,50}, {3,48}, {8,50}, {10,34}, {29,31}, {13,48}, {23,56}, {19,39}, {27,57}, {13,41}, {10,49}, {30,38}, {1,47}, {2,40}, {18,51}, {12,52}, {20,36}, {20,47}, {25,52}, {27,35}, {14,43}, {15,38}, {8,49}, {16,46}, {21,60}, {3,42}, {27,37}, {3,38}, {11,45}, {26,44}, {29,58}, {19,50}, {23,50}, {26,46}, {8,51}, {6,39}, {14,46}, {2,55}, {11,34}, {19,35}, {20,54}, {13,45}, {7,37}, {7,52}, {29,43}, {26,49}, {3,36}, {27,50}, {4,39}, {29,55}, {20,32}, {6,57}, {15,58}, {21,54}, {23,51} }; // ETB60.97 // Bipartite(30,30) Valencies [8,8] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 128849018880 EdgesBipt[60][96]:={ {6,48}, {2,44}, {11,53}, {9,58}, {3,33}, {16,41}, {29,45}, {17,44}, {17,36}, {21,45}, {29,51}, {5,34}, {11,56}, {13,40}, {18,48}, {21,48}, {16,33}, {9,60}, {3,40}, {17,47}, {1,56}, {26,31}, {14,51}, {22,37}, {29,60}, {9,45}, {2,51}, {12,32}, {8,42}, {15,49}, {16,31}, {18,38}, {27,47}, {20,57}, {28,48}, {7,44}, {13,57}, {4,31}, {22,52}, {25,50}, {5,47}, {9,43}, {14,31}, {28,55}, {11,41}, {15,47}, {7,51}, {12,35}, {26,53}, {7,36}, {10,44}, {12,58}, {5,32}, {12,37}, {12,50}, {18,34}, {13,55}, {24,60}, {13,56}, {28,56}, {3,34}, {11,38}, {26,45}, {14,60}, {2,36}, {19,54}, {3,49}, {14,36}, {15,32}, {24,37}, {30,47}, {15,40}, {8,41}, {24,43}, {29,36}, {16,54}, {17,51}, {22,35}, {24,58}, {17,58}, {26,60}, {24,39}, {1,31}, {23,34}, {11,31}, {30,34}, {10,59}, {2,59}, {18,49}, {27,58}, {9,54}, {23,41}, {6,60}, {22,44}, {24,52}, {28,41}, {20,59}, {18,55}, {4,52}, {22,51}, {10,40}, {12,43}, {17,43}, {7,50}, {19,52}, {23,42}, {13,33}, {15,50}, {6,33}, {2,32}, {24,45}, {30,35}, {20,44}, {15,35}, {9,37}, {12,47}, {8,53}, {5,49}, {11,60}, {18,53}, {15,34}, {8,56}, {26,38}, {14,58}, {10,42}, {19,31}, {23,57}, {27,52}, {26,56}, {23,38}, {4,54}, {1,33}, {18,33}, {28,57}, {16,48}, {4,46}, {21,33}, {30,32}, {21,38}, {5,42}, {25,40}, {4,36}, {10,55}, {25,35}, {8,57}, {21,39}, {28,40}, {19,46}, {23,53}, {7,59}, {25,59}, {5,44}, {30,40}, {28,33}, {5,59}, {20,49}, {25,57}, {1,39}, {17,59}, {19,51}, {28,42}, {1,46}, {11,46}, {6,54}, {25,42}, {26,41}, {19,36}, {25,55}, {27,32}, {22,59}, {13,42}, {16,56}, {22,50}, {23,49}, {4,37}, {29,46}, {3,53}, {14,45}, {10,35}, {8,34}, {4,51}, {6,45}, {8,38}, {20,34}, {30,50}, {3,48}, {29,31}, {13,48}, {23,56}, {30,55}, {19,39}, {13,41}, {2,47}, {20,42}, {21,53}, {6,38}, {10,50}, {12,52}, {20,47}, {3,55}, {27,35}, {14,43}, {8,49}, {2,58}, {16,46}, {21,60}, {10,57}, {16,39}, {9,39}, {27,37}, {3,38}, {9,52}, {11,45}, {29,58}, {1,41}, {27,43}, {30,49}, {1,48}, {26,46}, {18,40}, {6,39}, {14,46}, {7,35}, {6,53}, {7,37}, {1,54}, {22,36}, {7,52}, {29,43}, {2,43}, {15,55}, {17,32}, {27,50}, {4,39}, {19,37}, {20,32}, {5,57}, {24,54}, {25,44}, {21,54} }; // ETB60.98 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[60][97]:={ {6,48}, {2,44}, {14,56}, {6,32}, {17,35}, {17,44}, {17,36}, {17,56}, {18,48}, {21,48}, {29,49}, {12,51}, {2,56}, {21,40}, {10,37}, {17,47}, {4,53}, {18,46}, {21,32}, {14,39}, {26,47}, {5,55}, {9,45}, {21,58}, {25,38}, {29,33}, {16,31}, {21,37}, {22,46}, {20,40}, {7,54}, {17,34}, {13,57}, {9,44}, {14,38}, {12,41}, {22,42}, {16,59}, {12,55}, {18,54}, {19,47}, {28,55}, {29,57}, {8,39}, {7,51}, {16,60}, {23,59}, {29,41}, {15,43}, {24,44}, {3,52}, {12,58}, {27,33}, {3,57}, {9,53}, {24,36}, {12,34}, {29,39}, {11,50}, {13,55}, {10,53}, {23,39}, {18,42}, {30,59}, {13,56}, {23,32}, {19,33}, {28,56}, {5,40}, {3,46}, {6,40}, {6,31}, {4,60}, {2,34}, {14,33}, {2,36}, {19,54}, {20,55}, {10,38}, {6,58}, {9,32}, {25,53}, {18,57}, {15,40}, {11,49}, {28,34}, {12,49}, {10,52}, {23,45}, {7,46}, {8,45}, {1,31}, {10,41}, {19,53}, {4,45}, {7,49}, {7,43}, {2,35}, {11,44}, {3,44}, {10,59}, {30,43}, {4,47}, {27,58}, {4,33}, {9,54}, {6,60}, {27,31}, {1,59}, {3,51}, {15,42}, {24,32}, {25,41}, {22,51}, {26,48}, {16,37}, {30,42}, {7,50}, {13,31}, {4,35}, {11,57}, {2,32}, {18,44}, {30,36}, {6,50}, {24,45}, {30,35}, {15,35}, {9,56}, {1,60}, {26,52}, {1,45}, {29,38}, {14,58}, {14,41}, {27,49}, {4,54}, {21,31}, {23,58}, {28,57}, {16,48}, {22,43}, {15,36}, {24,56}, {5,42}, {25,37}, {12,33}, {18,52}, {10,43}, {5,41}, {25,35}, {7,47}, {11,52}, {16,45}, {8,32}, {27,55}, {25,59}, {19,60}, {8,58}, {30,40}, {8,40}, {14,49}, {1,39}, {22,54}, {27,41}, {5,36}, {1,46}, {19,45}, {29,56}, {22,47}, {21,50}, {1,37}, {22,50}, {28,51}, {20,37}, {23,40}, {28,39}, {10,35}, {17,60}, {25,43}, {20,52}, {22,49}, {4,34}, {23,46}, {3,48}, {8,50}, {13,51}, {30,55}, {24,53}, {2,47}, {20,42}, {26,57}, {30,38}, {18,51}, {9,33}, {9,36}, {14,57}, {20,36}, {25,52}, {11,47}, {15,38}, {16,46}, {21,60}, {3,42}, {16,39}, {28,38}, {13,38}, {27,51}, {11,48}, {26,44}, {20,41}, {28,31}, {8,46}, {20,53}, {29,58}, {15,59}, {23,50}, {1,48}, {3,54}, {12,31}, {6,37}, {26,43}, {13,34}, {19,35}, {13,39}, {11,43}, {19,34}, {27,34}, {2,60}, {5,37}, {26,49}, {24,33}, {26,50}, {15,55}, {17,32}, {7,42}, {8,59}, {5,52}, {24,54}, {5,53} }; // ETB60.99 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[60][98]:={ {17,57}, {3,33}, {13,52}, {22,60}, {13,32}, {6,32}, {17,35}, {28,52}, {11,36}, {21,45}, {29,40}, {5,34}, {11,56}, {12,51}, {17,38}, {15,46}, {1,56}, {4,50}, {12,56}, {25,39}, {26,31}, {16,40}, {18,46}, {21,32}, {29,60}, {21,47}, {7,48}, {5,38}, {22,53}, {8,42}, {28,45}, {29,33}, {15,49}, {16,31}, {15,31}, {3,43}, {1,40}, {7,54}, {14,38}, {9,44}, {8,52}, {23,55}, {9,49}, {12,42}, {28,32}, {29,59}, {11,58}, {30,46}, {3,37}, {19,47}, {24,51}, {22,32}, {11,41}, {15,47}, {21,43}, {12,35}, {16,60}, {15,43}, {24,44}, {10,44}, {3,57}, {9,53}, {24,36}, {17,40}, {29,48}, {12,37}, {2,54}, {10,53}, {18,42}, {18,37}, {30,59}, {23,52}, {19,33}, {6,47}, {20,38}, {22,45}, {3,46}, {20,50}, {21,46}, {1,38}, {14,33}, {14,60}, {17,37}, {9,32}, {5,50}, {25,53}, {30,47}, {18,57}, {19,59}, {12,36}, {8,41}, {2,38}, {11,49}, {28,34}, {2,37}, {16,54}, {14,40}, {7,39}, {28,50}, {7,32}, {24,39}, {28,44}, {1,31}, {11,31}, {5,58}, {2,35}, {21,44}, {1,51}, {30,43}, {4,47}, {6,43}, {4,33}, {23,41}, {27,31}, {17,55}, {24,32}, {28,41}, {2,57}, {4,59}, {18,55}, {2,48}, {4,52}, {7,53}, {19,52}, {23,37}, {23,42}, {23,35}, {6,33}, {14,48}, {18,43}, {30,36}, {13,44}, {13,50}, {14,47}, {6,44}, {6,46}, {9,56}, {1,60}, {26,52}, {19,58}, {17,48}, {29,38}, {5,48}, {24,49}, {27,36}, {8,35}, {10,42}, {20,58}, {26,56}, {25,45}, {9,51}, {26,36}, {4,43}, {10,45}, {23,58}, {26,34}, {18,33}, {27,56}, {29,47}, {16,38}, {8,37}, {21,33}, {15,36}, {24,56}, {16,49}, {27,42}, {12,57}, {10,55}, {14,59}, {5,41}, {25,35}, {17,54}, {16,51}, {11,52}, {5,54}, {22,39}, {18,59}, {8,58}, {1,49}, {25,57}, {22,54}, {4,58}, {20,60}, {25,42}, {26,41}, {25,55}, {7,60}, {10,39}, {20,48}, {16,56}, {5,60}, {29,46}, {28,39}, {10,35}, {6,45}, {20,34}, {4,34}, {8,50}, {26,58}, {15,51}, {19,43}, {24,53}, {27,57}, {13,41}, {21,53}, {2,40}, {9,36}, {3,55}, {22,48}, {27,35}, {8,55}, {10,57}, {3,42}, {9,39}, {27,51}, {27,37}, {20,41}, {7,45}, {22,40}, {15,59}, {19,50}, {23,50}, {30,49}, {30,51}, {30,31}, {2,55}, {14,46}, {12,31}, {13,34}, {11,34}, {13,39}, {6,53}, {3,59}, {20,54}, {13,45}, {19,34}, {1,54}, {26,49}, {7,40}, {25,44} }; // ETB60.100 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[60][99]:={ {6,48}, {15,52}, {11,53}, {16,41}, {13,52}, {2,33}, {28,52}, {21,48}, {9,60}, {21,40}, {3,40}, {17,38}, {26,31}, {29,60}, {5,55}, {9,45}, {25,56}, {12,32}, {7,38}, {8,42}, {28,45}, {16,31}, {27,47}, {27,48}, {3,45}, {8,33}, {13,57}, {14,38}, {5,56}, {30,52}, {12,39}, {4,31}, {3,58}, {9,43}, {3,37}, {19,47}, {24,51}, {14,31}, {29,35}, {26,53}, {7,36}, {15,43}, {3,52}, {12,58}, {3,57}, {5,32}, {9,35}, {8,44}, {18,58}, {2,54}, {11,50}, {18,34}, {10,53}, {23,44}, {24,60}, {18,42}, {14,54}, {18,37}, {13,56}, {4,38}, {28,56}, {3,34}, {6,40}, {20,50}, {27,54}, {14,60}, {9,47}, {20,55}, {7,57}, {5,50}, {15,32}, {16,53}, {24,37}, {25,53}, {18,57}, {25,36}, {12,36}, {1,44}, {2,38}, {24,43}, {11,49}, {28,34}, {10,52}, {7,39}, {17,58}, {26,60}, {26,40}, {28,44}, {1,31}, {10,41}, {4,45}, {7,49}, {11,31}, {22,57}, {17,33}, {11,44}, {1,51}, {19,38}, {10,59}, {2,59}, {30,43}, {4,47}, {27,58}, {9,54}, {6,60}, {15,42}, {25,41}, {20,59}, {2,48}, {26,48}, {29,54}, {30,42}, {29,37}, {23,37}, {23,42}, {24,47}, {15,41}, {13,33}, {15,50}, {2,32}, {30,36}, {6,50}, {24,45}, {30,35}, {13,44}, {14,55}, {21,51}, {19,55}, {15,35}, {9,37}, {12,47}, {17,49}, {11,60}, {17,48}, {29,38}, {8,56}, {27,36}, {4,55}, {19,31}, {14,37}, {9,51}, {4,43}, {23,58}, {28,57}, {4,46}, {8,37}, {30,32}, {15,36}, {24,35}, {16,49}, {5,42}, {18,52}, {12,57}, {10,55}, {10,43}, {17,54}, {21,39}, {6,51}, {7,47}, {16,51}, {19,46}, {22,39}, {7,59}, {25,59}, {8,58}, {1,49}, {8,40}, {22,33}, {28,33}, {30,41}, {5,59}, {1,39}, {17,59}, {19,51}, {16,44}, {19,45}, {1,53}, {22,47}, {25,55}, {27,32}, {6,41}, {21,50}, {22,59}, {13,46}, {16,34}, {20,35}, {23,40}, {29,46}, {25,43}, {4,51}, {22,49}, {23,33}, {23,46}, {30,50}, {10,36}, {29,31}, {23,56}, {19,43}, {27,57}, {20,42}, {11,40}, {6,34}, {25,52}, {28,46}, {2,58}, {18,45}, {21,60}, {3,42}, {16,39}, {12,48}, {10,56}, {11,48}, {26,44}, {8,46}, {14,35}, {20,53}, {1,41}, {27,39}, {21,34}, {18,40}, {6,39}, {14,46}, {7,33}, {13,34}, {20,56}, {13,45}, {5,35}, {22,36}, {1,34}, {26,49}, {21,41}, {26,50}, {17,32}, {12,54}, {29,55}, {20,32}, {24,54}, {5,53}, {2,49}, {22,38} }; // ETB60.101 // Bipartite(30,30) Valencies [8,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3932160 EdgesBipt[60][100]:={ {11,53}, {9,58}, {3,60}, {17,50}, {17,56}, {2,46}, {11,56}, {24,48}, {2,56}, {21,40}, {12,45}, {17,47}, {18,32}, {25,39}, {29,60}, {30,45}, {17,53}, {5,38}, {16,47}, {7,55}, {7,38}, {8,42}, {21,58}, {28,45}, {29,33}, {16,31}, {27,48}, {9,44}, {12,39}, {4,31}, {12,41}, {15,44}, {13,53}, {3,35}, {16,59}, {21,35}, {9,43}, {27,59}, {24,51}, {18,56}, {26,33}, {29,35}, {29,57}, {7,51}, {26,53}, {14,50}, {7,36}, {15,43}, {24,44}, {30,37}, {24,36}, {5,32}, {8,44}, {17,46}, {8,31}, {12,37}, {18,34}, {28,43}, {10,53}, {23,44}, {16,43}, {14,54}, {15,45}, {4,38}, {3,34}, {15,56}, {20,38}, {11,38}, {10,48}, {11,33}, {6,40}, {14,33}, {14,60}, {9,48}, {7,57}, {19,40}, {6,58}, {10,47}, {1,55}, {9,32}, {25,53}, {19,59}, {22,55}, {25,36}, {15,40}, {8,41}, {24,43}, {16,54}, {4,42}, {24,58}, {17,58}, {26,60}, {3,56}, {1,31}, {4,45}, {7,49}, {2,53}, {22,57}, {11,44}, {19,38}, {28,54}, {25,34}, {30,43}, {23,41}, {1,59}, {24,52}, {24,32}, {28,53}, {4,59}, {18,55}, {22,51}, {29,54}, {3,32}, {29,37}, {23,37}, {23,42}, {13,33}, {15,50}, {2,32}, {19,42}, {25,48}, {6,50}, {13,43}, {21,51}, {14,47}, {5,46}, {26,52}, {5,49}, {15,37}, {11,60}, {13,54}, {26,38}, {10,42}, {19,31}, {23,57}, {27,52}, {26,56}, {14,37}, {9,51}, {18,36}, {23,58}, {16,48}, {29,47}, {1,43}, {4,46}, {8,37}, {16,49}, {17,31}, {26,42}, {5,41}, {12,59}, {8,57}, {21,39}, {6,51}, {19,46}, {25,47}, {11,52}, {5,54}, {8,58}, {18,59}, {1,49}, {30,40}, {22,33}, {28,33}, {27,45}, {20,49}, {25,57}, {27,41}, {19,45}, {25,42}, {20,46}, {6,41}, {10,39}, {18,60}, {21,50}, {13,46}, {27,60}, {20,35}, {28,51}, {23,49}, {28,39}, {4,40}, {20,52}, {22,49}, {4,34}, {30,50}, {10,36}, {10,34}, {13,51}, {30,55}, {2,47}, {1,47}, {2,31}, {14,57}, {9,36}, {12,52}, {29,50}, {6,34}, {28,46}, {30,44}, {3,55}, {8,49}, {2,58}, {10,57}, {12,48}, {27,37}, {9,52}, {26,44}, {20,41}, {14,35}, {22,40}, {27,39}, {23,31}, {1,48}, {21,34}, {6,39}, {30,56}, {7,33}, {13,39}, {3,59}, {20,54}, {13,45}, {19,34}, {5,35}, {1,54}, {22,36}, {21,41}, {15,55}, {17,32}, {6,35}, {11,42}, {3,36}, {18,35}, {7,40}, {20,32}, {5,52}, {16,55}, {2,50}, {22,38}, {12,60} }; // ETB60.102 // Bipartite(15,45) Valencies [9,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338533188894720 EdgesBipt[60][101]:={ {14,39}, {7,48}, {8,39}, {8,24}, {12,60}, {8,59}, {11,55}, {10,57}, {10,27}, {15,55}, {10,43}, {6,23}, {2,20}, {14,18}, {12,40}, {7,33}, {15,44}, {3,32}, {9,39}, {15,40}, {9,19}, {5,58}, {11,16}, {10,44}, {3,30}, {14,35}, {3,45}, {13,38}, {15,29}, {6,45}, {14,20}, {12,25}, {1,52}, {13,46}, {4,26}, {15,59}, {7,56}, {9,17}, {6,22}, {8,44}, {11,49}, {6,53}, {13,16}, {1,34}, {11,34}, {12,30}, {14,33}, {13,51}, {5,33}, {10,58}, {7,41}, {7,26}, {15,25}, {1,22}, {2,50}, {2,36}, {9,34}, {14,50}, {5,43}, {6,37}, {8,53}, {11,46}, {13,53}, {2,42}, {1,19}, {4,36}, {4,21}, {7,52}, {2,35}, {2,57}, {4,17}, {3,47}, {5,28}, {12,35}, {9,54}, {10,29}, {9,49}, {15,26}, {6,52}, {10,59}, {6,60}, {12,55}, {2,27}, {3,58}, {4,51}, {5,46}, {2,21}, {6,30}, {10,28}, {11,19}, {7,18}, {6,38}, {8,38}, {11,40}, {1,49}, {3,28}, {11,31}, {5,31}, {9,24}, {11,25}, {4,56}, {2,51}, {8,23}, {8,54}, {1,42}, {5,48}, {4,32}, {13,21}, {3,60}, {1,37}, {1,27}, {10,42}, {9,47}, {7,22}, {15,41}, {13,23}, {13,36}, {7,37}, {15,56}, {3,17}, {14,54}, {9,32}, {5,18}, {13,31}, {3,43}, {14,48}, {4,41}, {4,47}, {12,50}, {1,57}, {5,16}, {12,20}, {14,24}, {12,45}, {8,29} }; // ETB60.103 // Bipartite(24,36) Valencies [9,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[60][102]:={ {2,44}, {15,52}, {16,41}, {14,56}, {9,28}, {2,33}, {17,44}, {17,36}, {21,45}, {13,40}, {11,56}, {21,48}, {16,33}, {12,51}, {3,40}, {23,27}, {1,56}, {4,50}, {16,40}, {8,43}, {9,45}, {5,38}, {22,53}, {7,55}, {8,42}, {8,54}, {21,58}, {15,49}, {18,38}, {1,57}, {18,50}, {12,38}, {9,44}, {22,42}, {2,27}, {21,42}, {13,53}, {19,47}, {14,31}, {24,30}, {11,41}, {15,54}, {21,57}, {23,48}, {3,52}, {24,36}, {5,32}, {14,28}, {13,29}, {16,29}, {18,34}, {15,60}, {23,39}, {24,60}, {21,52}, {6,29}, {23,32}, {19,33}, {6,47}, {3,34}, {5,40}, {22,45}, {3,46}, {1,38}, {19,40}, {6,58}, {17,37}, {10,47}, {9,32}, {15,32}, {9,26}, {18,57}, {22,55}, {12,36}, {4,41}, {12,49}, {19,29}, {22,35}, {7,39}, {22,41}, {5,25}, {17,58}, {10,54}, {15,26}, {2,53}, {10,28}, {20,31}, {2,35}, {1,51}, {19,38}, {10,59}, {6,55}, {6,30}, {4,33}, {18,55}, {22,51}, {12,43}, {9,50}, {1,29}, {7,30}, {24,26}, {7,53}, {24,47}, {8,36}, {15,50}, {13,33}, {18,43}, {16,32}, {20,44}, {14,55}, {17,30}, {11,30}, {9,56}, {21,25}, {4,48}, {12,25}, {23,25}, {1,45}, {17,48}, {10,42}, {24,34}, {14,37}, {18,47}, {20,51}, {10,46}, {4,43}, {23,58}, {22,43}, {8,37}, {5,28}, {13,36}, {16,49}, {17,31}, {7,31}, {18,52}, {10,58}, {13,30}, {4,36}, {8,57}, {16,51}, {12,27}, {19,46}, {5,31}, {17,25}, {11,39}, {12,53}, {5,59}, {11,55}, {10,32}, {17,59}, {1,25}, {22,28}, {20,60}, {5,51}, {19,56}, {7,60}, {21,50}, {24,38}, {13,42}, {1,37}, {20,35}, {20,37}, {23,49}, {11,26}, {10,35}, {20,26}, {16,35}, {18,28}, {1,26}, {14,44}, {4,34}, {23,46}, {3,48}, {23,56}, {2,47}, {21,53}, {4,49}, {9,33}, {14,43}, {8,49}, {2,58}, {3,42}, {16,39}, {15,57}, {11,45}, {11,48}, {7,27}, {20,41}, {8,46}, {3,41}, {3,54}, {15,39}, {3,31}, {13,59}, {6,39}, {14,46}, {6,37}, {11,34}, {20,54}, {13,45}, {19,34}, {9,59}, {2,60}, {7,52}, {6,35}, {7,40}, {4,44}, {14,27}, {8,29}, {5,52}, {19,27}, {24,54}, {6,57}, {2,50}, {12,60}, {24,59} }; // ETB60.104 // Bipartite(24,36) Valencies [9,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1728 EdgesBipt[60][103]:={ {17,57}, {8,48}, {15,52}, {17,50}, {10,25}, {22,60}, {14,56}, {6,32}, {2,33}, {17,36}, {2,46}, {13,40}, {21,48}, {24,48}, {12,56}, {4,50}, {8,30}, {5,38}, {7,55}, {8,28}, {21,58}, {16,31}, {18,38}, {21,37}, {4,29}, {24,55}, {20,40}, {1,40}, {12,39}, {22,42}, {23,54}, {9,49}, {22,52}, {18,54}, {13,35}, {14,31}, {11,41}, {23,59}, {2,41}, {3,57}, {14,28}, {16,29}, {10,53}, {15,60}, {23,44}, {11,28}, {15,45}, {19,33}, {20,38}, {22,45}, {11,33}, {6,31}, {2,36}, {1,50}, {10,47}, {9,32}, {15,32}, {9,26}, {9,27}, {24,37}, {8,41}, {2,38}, {12,49}, {2,37}, {12,44}, {4,42}, {22,41}, {3,56}, {24,39}, {8,60}, {7,43}, {22,57}, {22,27}, {5,58}, {17,33}, {15,27}, {3,44}, {2,59}, {11,59}, {4,47}, {23,26}, {9,54}, {6,49}, {3,51}, {15,42}, {20,59}, {14,53}, {2,48}, {16,37}, {10,40}, {16,58}, {1,29}, {7,50}, {3,39}, {7,53}, {18,30}, {3,32}, {4,35}, {15,41}, {23,35}, {8,36}, {14,48}, {15,50}, {18,44}, {18,43}, {13,43}, {20,44}, {14,55}, {5,30}, {6,44}, {19,41}, {11,30}, {9,56}, {11,60}, {1,45}, {24,49}, {13,54}, {14,58}, {10,42}, {4,55}, {24,34}, {23,47}, {3,27}, {18,47}, {9,51}, {20,51}, {4,43}, {21,31}, {10,45}, {20,43}, {1,43}, {3,26}, {15,36}, {5,28}, {24,56}, {16,49}, {17,52}, {12,26}, {13,30}, {12,57}, {10,55}, {21,39}, {6,51}, {21,56}, {12,27}, {22,25}, {8,58}, {17,25}, {18,59}, {22,33}, {5,59}, {21,29}, {14,49}, {5,36}, {1,25}, {11,46}, {6,54}, {19,45}, {1,53}, {20,46}, {7,29}, {19,36}, {13,46}, {16,34}, {19,32}, {13,26}, {5,60}, {23,40}, {10,35}, {17,60}, {5,33}, {20,26}, {11,37}, {8,38}, {4,34}, {23,46}, {10,34}, {13,51}, {24,53}, {21,53}, {1,47}, {18,51}, {12,52}, {20,47}, {19,25}, {2,58}, {16,39}, {13,38}, {6,52}, {4,25}, {9,52}, {11,48}, {7,45}, {8,46}, {19,50}, {3,31}, {21,34}, {6,39}, {17,42}, {7,35}, {19,57}, {9,31}, {1,34}, {5,37}, {17,32}, {12,54}, {16,28}, {18,35}, {7,40}, {7,42}, {19,27}, {6,57}, {24,28}, {16,55}, {14,29}, {23,30} }; // ETB60.105 // Bipartite(24,36) Valencies [9,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[60][104]:={ {17,57}, {3,60}, {13,32}, {9,28}, {2,33}, {18,39}, {11,35}, {11,56}, {18,48}, {16,33}, {18,29}, {16,40}, {22,37}, {17,53}, {5,55}, {8,43}, {9,45}, {16,47}, {8,42}, {21,58}, {18,38}, {9,55}, {18,50}, {22,46}, {23,28}, {12,38}, {7,54}, {23,60}, {9,49}, {2,27}, {22,52}, {16,59}, {12,55}, {21,35}, {24,51}, {14,31}, {15,47}, {7,51}, {24,36}, {20,30}, {8,44}, {8,31}, {21,49}, {18,34}, {15,60}, {18,42}, {21,52}, {10,30}, {2,45}, {23,32}, {15,29}, {19,33}, {3,46}, {6,40}, {14,33}, {2,34}, {9,48}, {19,54}, {3,49}, {6,58}, {17,37}, {22,55}, {15,40}, {4,41}, {8,41}, {12,49}, {2,37}, {12,44}, {7,32}, {10,54}, {3,56}, {24,39}, {10,41}, {19,53}, {23,34}, {20,31}, {2,35}, {21,44}, {1,51}, {19,38}, {11,59}, {4,47}, {4,33}, {22,44}, {1,59}, {6,49}, {10,40}, {9,50}, {16,58}, {7,30}, {3,39}, {7,26}, {14,48}, {15,50}, {15,53}, {16,32}, {11,29}, {13,44}, {21,51}, {5,30}, {19,55}, {12,47}, {4,48}, {5,46}, {12,28}, {15,37}, {14,42}, {1,58}, {24,49}, {13,25}, {6,56}, {8,56}, {20,28}, {14,58}, {10,42}, {8,35}, {23,57}, {1,28}, {18,27}, {23,38}, {4,28}, {4,43}, {23,58}, {1,43}, {22,43}, {13,36}, {24,35}, {17,31}, {10,51}, {5,42}, {17,52}, {12,26}, {7,47}, {20,29}, {12,27}, {22,25}, {11,52}, {1,42}, {9,57}, {6,27}, {8,40}, {5,59}, {18,25}, {22,54}, {20,25}, {1,25}, {16,44}, {6,54}, {1,53}, {17,41}, {20,46}, {7,29}, {21,50}, {5,39}, {19,32}, {22,50}, {20,37}, {4,37}, {5,60}, {13,26}, {17,60}, {16,36}, {4,51}, {6,45}, {8,38}, {1,26}, {4,34}, {10,36}, {3,48}, {11,32}, {23,56}, {19,39}, {19,43}, {24,53}, {13,41}, {6,25}, {2,40}, {14,52}, {10,50}, {14,57}, {9,36}, {20,36}, {15,38}, {5,26}, {16,46}, {21,60}, {10,57}, {17,45}, {24,29}, {11,45}, {11,48}, {7,27}, {15,59}, {3,41}, {3,54}, {21,34}, {17,26}, {2,55}, {14,46}, {12,31}, {13,34}, {3,47}, {20,56}, {13,39}, {11,43}, {19,57}, {6,53}, {2,30}, {13,45}, {5,35}, {9,59}, {7,52}, {24,33}, {14,27}, {24,31}, {23,30} }; // ETB60.106 // Bipartite(24,36) Valencies [9,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 175495605123022848 EdgesBipt[60][105]:={ {3,33}, {13,32}, {17,36}, {5,34}, {11,56}, {16,26}, {9,60}, {18,29}, {4,26}, {23,27}, {4,50}, {8,30}, {21,32}, {22,53}, {7,55}, {8,42}, {8,54}, {19,44}, {21,58}, {15,31}, {21,37}, {9,55}, {3,45}, {12,38}, {20,40}, {5,56}, {22,42}, {23,55}, {9,49}, {9,43}, {24,30}, {15,47}, {7,51}, {23,59}, {15,43}, {2,41}, {3,57}, {2,28}, {18,41}, {23,43}, {5,32}, {12,50}, {21,49}, {10,53}, {23,39}, {14,54}, {6,29}, {13,56}, {16,30}, {4,38}, {19,33}, {20,38}, {22,45}, {11,33}, {20,50}, {21,46}, {4,60}, {14,33}, {9,48}, {10,47}, {13,58}, {17,37}, {1,55}, {12,36}, {10,52}, {2,52}, {16,54}, {14,30}, {11,51}, {7,39}, {22,41}, {24,58}, {5,25}, {3,56}, {24,42}, {1,31}, {10,41}, {2,53}, {7,43}, {10,28}, {22,57}, {5,58}, {2,35}, {11,44}, {15,27}, {21,44}, {3,44}, {10,59}, {2,59}, {6,30}, {10,29}, {3,51}, {17,55}, {13,49}, {14,53}, {4,52}, {10,40}, {17,43}, {16,58}, {24,26}, {3,39}, {3,32}, {11,57}, {9,25}, {23,35}, {6,33}, {13,44}, {15,35}, {21,25}, {9,37}, {4,48}, {17,49}, {5,46}, {12,28}, {1,60}, {5,49}, {18,53}, {14,42}, {17,48}, {13,25}, {20,28}, {24,34}, {14,41}, {23,47}, {3,27}, {18,47}, {4,28}, {22,29}, {1,43}, {16,38}, {8,26}, {17,31}, {12,26}, {7,31}, {18,52}, {4,36}, {7,47}, {21,56}, {7,59}, {8,58}, {17,25}, {18,59}, {11,39}, {5,44}, {1,49}, {22,33}, {12,40}, {22,54}, {19,51}, {1,25}, {20,60}, {6,54}, {19,45}, {19,56}, {6,41}, {13,46}, {20,48}, {24,38}, {1,37}, {16,34}, {19,32}, {6,42}, {14,45}, {4,40}, {10,35}, {17,60}, {8,34}, {20,26}, {2,29}, {11,27}, {18,28}, {20,52}, {6,45}, {8,38}, {8,50}, {15,51}, {11,32}, {19,39}, {2,47}, {2,40}, {14,57}, {9,36}, {12,52}, {16,42}, {20,36}, {16,46}, {12,48}, {11,45}, {7,27}, {8,46}, {13,37}, {15,59}, {23,31}, {1,48}, {15,39}, {21,34}, {18,40}, {24,46}, {13,34}, {7,35}, {16,50}, {19,57}, {6,53}, {22,30}, {9,31}, {5,37}, {15,55}, {18,35}, {19,27}, {24,50}, {24,54}, {6,57}, {1,36}, {14,29}, {23,51}, {12,60} }; // ETB60.107 // Bipartite(24,36) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 641959232274432 EdgesBipt[60][106]:={ {6,48}, {11,53}, {9,58}, {3,33}, {16,41}, {17,50}, {13,32}, {18,48}, {23,29}, {17,38}, {4,53}, {1,56}, {21,32}, {5,38}, {21,58}, {18,38}, {15,31}, {4,29}, {18,50}, {1,32}, {3,45}, {8,33}, {3,43}, {20,57}, {7,41}, {10,26}, {9,44}, {23,54}, {23,55}, {15,44}, {10,33}, {12,42}, {22,52}, {24,30}, {11,41}, {7,51}, {12,35}, {16,60}, {15,43}, {3,57}, {1,30}, {23,43}, {16,29}, {13,56}, {15,45}, {19,28}, {15,56}, {2,25}, {22,45}, {6,31}, {21,46}, {4,60}, {14,60}, {2,36}, {10,38}, {19,40}, {17,37}, {14,36}, {9,32}, {5,50}, {15,32}, {9,27}, {16,53}, {1,44}, {4,41}, {8,47}, {2,37}, {10,52}, {19,29}, {8,45}, {17,51}, {7,39}, {5,25}, {17,39}, {3,56}, {24,42}, {19,53}, {10,28}, {11,31}, {22,57}, {2,35}, {21,27}, {21,44}, {3,44}, {2,59}, {20,33}, {6,55}, {6,43}, {23,41}, {6,60}, {9,34}, {24,52}, {20,59}, {13,49}, {18,55}, {2,48}, {10,40}, {16,58}, {7,53}, {3,32}, {19,52}, {23,42}, {24,47}, {14,48}, {18,43}, {6,50}, {11,29}, {13,44}, {21,51}, {14,47}, {19,41}, {11,30}, {9,56}, {12,47}, {4,48}, {17,27}, {17,49}, {12,28}, {5,49}, {13,25}, {13,54}, {8,35}, {20,45}, {18,26}, {20,58}, {14,37}, {9,51}, {18,36}, {10,45}, {16,48}, {4,46}, {24,35}, {18,31}, {24,40}, {11,54}, {13,30}, {14,59}, {4,36}, {12,59}, {8,57}, {21,39}, {21,56}, {23,53}, {1,42}, {8,58}, {17,25}, {1,49}, {6,26}, {22,33}, {12,40}, {12,30}, {11,55}, {14,49}, {19,51}, {1,25}, {22,28}, {4,58}, {5,51}, {20,46}, {7,29}, {18,60}, {13,42}, {1,37}, {16,34}, {14,25}, {5,39}, {20,35}, {7,28}, {22,50}, {22,26}, {16,36}, {6,36}, {8,34}, {20,34}, {4,34}, {15,33}, {19,39}, {2,47}, {6,38}, {10,50}, {12,52}, {20,47}, {3,55}, {5,27}, {5,26}, {16,46}, {10,57}, {9,39}, {15,57}, {7,27}, {8,46}, {14,35}, {22,40}, {13,37}, {23,31}, {3,31}, {21,34}, {9,46}, {17,26}, {11,43}, {1,54}, {7,52}, {2,60}, {5,37}, {15,55}, {11,42}, {12,54}, {7,40}, {8,59}, {19,27}, {24,54}, {24,28}, {2,49}, {22,38}, {23,30}, {24,59} }; // ETB60.108 // Bipartite(24,36) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 313456656384 EdgesBipt[60][107]:={ {3,33}, {16,41}, {13,52}, {21,45}, {13,40}, {11,56}, {9,60}, {15,46}, {12,45}, {4,53}, {1,56}, {7,48}, {17,53}, {7,55}, {7,38}, {8,28}, {16,31}, {4,29}, {9,55}, {20,27}, {24,55}, {1,32}, {3,45}, {3,43}, {17,34}, {13,57}, {14,38}, {21,55}, {8,52}, {23,54}, {15,44}, {10,33}, {22,52}, {11,58}, {18,54}, {9,43}, {19,47}, {24,30}, {8,39}, {19,48}, {21,43}, {12,35}, {23,59}, {14,50}, {7,36}, {21,57}, {24,44}, {3,57}, {9,53}, {1,30}, {17,46}, {8,27}, {16,29}, {18,42}, {16,43}, {16,30}, {15,45}, {15,56}, {5,40}, {2,25}, {4,60}, {14,60}, {9,48}, {2,36}, {9,29}, {10,47}, {14,36}, {15,32}, {16,53}, {19,59}, {1,44}, {4,41}, {5,29}, {8,41}, {24,43}, {2,37}, {16,54}, {11,51}, {17,51}, {9,41}, {17,58}, {17,39}, {3,56}, {24,42}, {7,43}, {22,27}, {2,35}, {11,44}, {3,44}, {10,59}, {2,59}, {21,26}, {6,49}, {24,32}, {2,48}, {22,51}, {7,50}, {18,30}, {3,32}, {23,37}, {23,42}, {23,35}, {13,33}, {14,48}, {7,26}, {6,50}, {20,44}, {5,30}, {13,50}, {12,47}, {4,48}, {17,27}, {8,53}, {12,28}, {23,25}, {15,34}, {19,58}, {13,28}, {23,47}, {14,37}, {18,47}, {20,51}, {10,46}, {21,31}, {10,45}, {4,46}, {21,33}, {5,28}, {24,56}, {21,38}, {5,42}, {7,31}, {12,33}, {18,52}, {10,58}, {12,57}, {4,36}, {5,41}, {12,59}, {6,51}, {19,46}, {5,54}, {22,39}, {1,42}, {19,60}, {6,27}, {18,59}, {11,39}, {1,49}, {6,26}, {8,40}, {12,40}, {20,39}, {20,49}, {14,49}, {17,29}, {20,25}, {1,25}, {22,28}, {11,46}, {4,58}, {17,41}, {19,36}, {7,60}, {21,50}, {1,37}, {14,25}, {22,50}, {20,37}, {23,49}, {13,26}, {22,26}, {10,35}, {11,27}, {18,28}, {4,34}, {10,34}, {11,32}, {15,33}, {2,47}, {6,25}, {6,38}, {16,42}, {9,36}, {12,52}, {3,55}, {10,57}, {13,38}, {15,57}, {22,40}, {3,31}, {18,40}, {8,51}, {6,39}, {6,37}, {11,34}, {19,35}, {20,56}, {13,45}, {19,34}, {1,54}, {9,31}, {2,60}, {18,35}, {20,32}, {8,29}, {5,52}, {24,54}, {24,31}, {5,53}, {16,55}, {15,58}, {2,49}, {22,38}, {14,26}, {23,30} }; // ETB60.109 // Bipartite(24,36) Valencies [9,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1769472 EdgesBipt[60][108]:={ {6,48}, {9,58}, {3,60}, {10,25}, {12,29}, {18,48}, {16,33}, {16,26}, {4,26}, {23,29}, {12,51}, {17,38}, {8,30}, {8,43}, {5,38}, {22,53}, {21,58}, {15,49}, {24,27}, {1,27}, {20,57}, {23,28}, {7,54}, {12,39}, {23,55}, {15,44}, {2,27}, {3,35}, {21,59}, {13,35}, {19,47}, {24,51}, {2,26}, {18,56}, {11,41}, {14,50}, {7,36}, {21,57}, {23,48}, {24,36}, {5,32}, {17,40}, {20,30}, {8,44}, {8,31}, {11,50}, {18,34}, {10,53}, {15,60}, {23,39}, {24,60}, {18,42}, {11,28}, {21,52}, {4,38}, {5,40}, {22,45}, {11,33}, {6,40}, {21,46}, {7,56}, {19,54}, {20,55}, {3,49}, {19,40}, {15,32}, {12,36}, {1,44}, {5,29}, {8,41}, {2,37}, {5,43}, {7,46}, {22,35}, {9,41}, {5,25}, {10,54}, {24,39}, {1,31}, {4,45}, {7,43}, {10,28}, {20,31}, {24,25}, {3,44}, {6,30}, {4,33}, {9,54}, {23,41}, {10,31}, {6,60}, {24,52}, {3,51}, {2,57}, {9,50}, {17,43}, {16,58}, {13,31}, {18,30}, {3,32}, {23,42}, {24,47}, {13,33}, {2,32}, {15,53}, {11,29}, {20,44}, {13,44}, {14,55}, {21,51}, {5,30}, {14,47}, {17,30}, {15,35}, {12,47}, {4,48}, {8,53}, {12,25}, {8,56}, {6,56}, {14,37}, {9,51}, {1,33}, {10,45}, {20,43}, {16,48}, {4,46}, {16,38}, {5,28}, {13,36}, {16,49}, {18,52}, {10,58}, {8,57}, {7,47}, {17,28}, {12,27}, {19,46}, {22,25}, {16,45}, {22,39}, {1,42}, {22,58}, {9,57}, {17,25}, {18,59}, {11,39}, {11,55}, {14,49}, {22,54}, {17,29}, {22,28}, {4,58}, {19,45}, {19,36}, {19,56}, {22,31}, {13,27}, {10,39}, {18,60}, {21,50}, {1,35}, {13,42}, {1,37}, {16,34}, {6,42}, {3,53}, {10,35}, {23,33}, {4,34}, {15,51}, {14,32}, {19,43}, {2,47}, {4,49}, {14,57}, {12,52}, {6,34}, {15,38}, {8,55}, {5,26}, {16,46}, {6,52}, {3,38}, {24,29}, {9,52}, {11,48}, {20,41}, {7,45}, {20,53}, {13,37}, {15,59}, {23,50}, {18,40}, {6,59}, {9,46}, {17,26}, {2,55}, {13,34}, {20,56}, {3,59}, {7,37}, {1,34}, {9,59}, {21,41}, {17,32}, {11,42}, {7,40}, {19,37}, {14,27}, {1,36}, {2,50}, {2,49}, {21,54}, {14,26}, {12,60} }; // ETB60.110 // Bipartite(30,30) Valencies [9,9] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 877478025615114240 EdgesBipt[60][109]:={ {3,33}, {3,60}, {16,41}, {29,45}, {25,31}, {6,32}, {28,52}, {11,36}, {2,46}, {29,40}, {13,40}, {11,56}, {21,48}, {9,60}, {24,48}, {2,56}, {3,40}, {17,38}, {25,51}, {12,45}, {18,32}, {1,56}, {12,56}, {26,31}, {14,51}, {16,40}, {29,60}, {21,47}, {7,48}, {14,39}, {17,53}, {5,55}, {9,45}, {30,33}, {7,38}, {8,42}, {8,54}, {19,44}, {21,58}, {16,31}, {15,31}, {21,37}, {27,48}, {9,55}, {1,57}, {22,46}, {3,43}, {30,54}, {14,38}, {9,44}, {12,39}, {4,31}, {23,60}, {8,52}, {10,33}, {13,53}, {28,32}, {12,55}, {5,47}, {11,58}, {18,54}, {30,46}, {24,51}, {14,31}, {29,35}, {15,47}, {12,35}, {16,60}, {23,59}, {30,53}, {21,57}, {10,44}, {27,33}, {23,43}, {9,35}, {8,44}, {18,34}, {10,53}, {23,39}, {18,42}, {18,37}, {7,58}, {2,45}, {15,45}, {4,38}, {22,45}, {11,38}, {6,40}, {6,31}, {21,46}, {1,38}, {2,36}, {19,54}, {3,49}, {19,40}, {28,47}, {18,57}, {22,55}, {12,36}, {4,41}, {12,46}, {8,47}, {29,44}, {28,34}, {12,49}, {22,35}, {24,58}, {17,58}, {2,39}, {22,56}, {26,60}, {7,32}, {10,54}, {24,39}, {26,40}, {28,44}, {16,52}, {7,43}, {30,34}, {2,35}, {17,33}, {28,54}, {2,59}, {20,33}, {30,43}, {27,58}, {9,54}, {6,60}, {9,34}, {25,41}, {13,49}, {4,59}, {29,34}, {29,54}, {9,50}, {17,43}, {3,39}, {7,53}, {11,57}, {15,41}, {13,33}, {14,48}, {18,44}, {16,32}, {30,36}, {6,50}, {13,43}, {20,44}, {13,50}, {19,55}, {15,35}, {27,38}, {4,48}, {28,37}, {26,52}, {15,37}, {1,58}, {17,48}, {27,53}, {24,49}, {14,58}, {27,52}, {14,41}, {3,50}, {18,47}, {25,45}, {10,46}, {20,43}, {28,57}, {8,37}, {21,38}, {17,52}, {25,37}, {27,42}, {24,41}, {26,42}, {18,52}, {10,43}, {14,59}, {5,41}, {25,35}, {13,60}, {12,59}, {8,57}, {6,51}, {21,56}, {16,51}, {23,53}, {9,40}, {25,47}, {8,32}, {22,39}, {19,60}, {5,31}, {25,57}, {14,49}, {28,42}, {1,46}, {11,46}, {4,58}, {19,45}, {5,51}, {26,32}, {26,41}, {20,46}, {25,55}, {27,32}, {6,41}, {22,59}, {24,38}, {1,37}, {23,49}, {6,42}, {23,40}, {3,53}, {8,34}, {11,37}, {4,51}, {20,34}, {22,49}, {23,33}, {10,36}, {10,34}, {15,51}, {1,47}, {4,49}, {26,51}, {16,42}, {20,36}, {29,50}, {30,44}, {11,47}, {6,52}, {10,56}, {15,57}, {11,48}, {20,53}, {19,50}, {5,45}, {23,50}, {27,43}, {21,36}, {1,48}, {13,59}, {2,55}, {30,56}, {7,33}, {17,42}, {19,35}, {20,56}, {13,39}, {16,50}, {3,59}, {20,54}, {19,34}, {5,35}, {22,36}, {7,52}, {5,37}, {26,50}, {15,55}, {17,32}, {4,39}, {29,55}, {7,42}, {5,57}, {24,31}, {1,36}, {2,49}, {24,59} }; // ETB60.111 // Bipartite(10,50) Valencies [10,2] // Diameter 10 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12383472844800000000000 EdgesBipt[60][110]:={ {6,39}, {9,40}, {6,48}, {10,21}, {10,60}, {6,18}, {9,30}, {1,11}, {4,14}, {2,22}, {3,38}, {5,57}, {1,31}, {8,36}, {7,24}, {10,40}, {7,54}, {2,33}, {8,55}, {9,39}, {7,45}, {8,46}, {9,19}, {4,44}, {1,32}, {7,15}, {1,52}, {6,58}, {5,26}, {10,30}, {5,37}, {3,48}, {3,18}, {8,15}, {2,52}, {2,23}, {6,49}, {1,22}, {2,32}, {4,33}, {10,41}, {6,59}, {2,13}, {4,53}, {10,31}, {1,12}, {7,25}, {9,59}, {4,43}, {5,56}, {8,35}, {8,56}, {8,26}, {7,14}, {2,42}, {3,27}, {3,47}, {2,53}, {6,29}, {7,35}, {9,49}, {6,19}, {3,58}, {2,43}, {3,57}, {5,46}, {5,27}, {6,38}, {7,44}, {2,12}, {5,47}, {3,28}, {5,36}, {8,16}, {5,17}, {1,42}, {9,60}, {1,51}, {1,41}, {4,54}, {10,51}, {8,25}, {9,29}, {8,45}, {10,50}, {3,17}, {10,20}, {3,37}, {4,34}, {7,34}, {4,23}, {9,50}, {5,16}, {4,13}, {1,21}, {7,55}, {10,11}, {4,24}, {9,20}, {6,28} }; // ETB60.112 // Bipartite(10,50) Valencies [10,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 966367641600 EdgesBipt[60][111]:={ {1,15}, {4,35}, {7,19}, {7,48}, {5,32}, {6,39}, {10,21}, {1,43}, {9,30}, {1,11}, {3,29}, {6,14}, {4,60}, {6,36}, {7,59}, {5,57}, {8,51}, {3,46}, {10,27}, {6,41}, {10,38}, {1,40}, {3,54}, {4,59}, {5,24}, {1,38}, {5,41}, {2,33}, {7,31}, {7,27}, {3,50}, {10,52}, {8,42}, {7,23}, {2,28}, {9,51}, {2,15}, {7,56}, {6,22}, {10,30}, {5,49}, {9,58}, {6,11}, {6,47}, {2,31}, {2,56}, {1,36}, {2,50}, {10,13}, {3,14}, {1,12}, {4,29}, {4,43}, {10,24}, {8,26}, {8,17}, {2,40}, {7,52}, {5,28}, {2,53}, {2,58}, {9,33}, {3,42}, {6,19}, {5,53}, {10,49}, {5,45}, {9,35}, {7,44}, {5,20}, {10,55}, {8,20}, {8,23}, {6,16}, {9,26}, {9,60}, {3,21}, {4,32}, {3,39}, {1,37}, {4,54}, {9,47}, {1,13}, {4,18}, {3,25}, {8,48}, {8,45}, {2,25}, {8,37}, {3,17}, {6,44}, {4,34}, {9,55}, {10,46}, {7,34}, {4,57}, {5,16}, {1,18}, {8,12}, {9,22} }; // ETB60.113 // Bipartite(30,30) Valencies [10,10] // Diameter 5 Girth 4 // Twin-free VT AT // Automorphism group of order 14400 EdgesBipt[60][112]:={ {18,45}, {7,48}, {6,38}, {30,54}, {11,40}, {15,59}, {27,48}, {26,46}, {5,43}, {23,53}, {8,51}, {19,57}, {25,57}, {25,40}, {13,37}, {1,40}, {13,39}, {15,54}, {14,50}, {2,35}, {17,33}, {5,57}, {3,35}, {20,46}, {27,33}, {21,54}, {17,56}, {6,48}, {19,37}, {3,39}, {4,51}, {30,59}, {28,52}, {4,37}, {6,58}, {27,56}, {10,42}, {2,34}, {26,38}, {12,48}, {21,40}, {4,43}, {16,48}, {23,45}, {20,43}, {7,45}, {8,37}, {9,57}, {29,57}, {17,39}, {6,60}, {16,60}, {12,38}, {20,49}, {30,57}, {7,33}, {12,31}, {3,52}, {13,47}, {5,60}, {29,55}, {19,52}, {27,32}, {24,50}, {24,47}, {13,55}, {16,34}, {13,51}, {2,56}, {6,46}, {7,56}, {18,39}, {6,44}, {29,49}, {27,53}, {9,47}, {4,49}, {5,50}, {30,36}, {1,38}, {29,47}, {20,36}, {16,40}, {26,36}, {22,34}, {6,34}, {18,33}, {5,54}, {10,59}, {18,56}, {24,41}, {2,39}, {9,59}, {3,47}, {27,39}, {1,31}, {3,51}, {18,55}, {28,53}, {7,53}, {15,50}, {19,49}, {11,60}, {2,44}, {8,56}, {12,56}, {23,39}, {6,36}, {29,52}, {18,51}, {11,36}, {9,51}, {22,48}, {10,57}, {10,36}, {10,46}, {10,58}, {30,49}, {9,55}, {21,31}, {25,59}, {11,48}, {8,47}, {4,41}, {8,41}, {24,55}, {8,45}, {29,59}, {11,58}, {17,31}, {26,44}, {20,54}, {26,54}, {11,44}, {13,45}, {4,47}, {24,59}, {7,35}, {15,60}, {27,34}, {15,58}, {22,44}, {7,34}, {4,57}, {23,51}, {13,56}, {25,46}, {22,31}, {23,35}, {19,55}, {8,53}, {22,45}, {19,41}, {14,52}, {5,40}, {4,50}, {23,47}, {21,58}, {28,37}, {12,45}, {17,38}, {6,31}, {11,32}, {22,53}, {21,32}, {11,54}, {15,40}, {19,50}, {14,43}, {27,35}, {14,37}, {1,44}, {15,49}, {24,43}, {9,41}, {16,31}, {20,59}, {3,41}, {1,32}, {1,54}, {25,50}, {20,60}, {24,51}, {22,39}, {26,48}, {25,42}, {3,53}, {29,41}, {18,41}, {10,40}, {14,55}, {1,60}, {14,47}, {29,37}, {30,60}, {29,42}, {28,39}, {2,45}, {21,46}, {23,52}, {5,46}, {25,43}, {16,36}, {20,50}, {14,51}, {19,59}, {19,43}, {20,57}, {16,46}, {14,59}, {26,60}, {18,52}, {25,36}, {3,56}, {2,31}, {16,38}, {5,58}, {3,45}, {2,53}, {12,44}, {24,57}, {4,42}, {23,55}, {21,34}, {7,31}, {12,33}, {8,33}, {12,39}, {17,34}, {28,33}, {22,33}, {14,49}, {11,31}, {21,44}, {28,55}, {24,52}, {26,32}, {15,42}, {1,34}, {13,35}, {28,56}, {30,50}, {28,35}, {27,44}, {21,48}, {13,33}, {18,53}, {5,49}, {10,60}, {23,33}, {8,55}, {29,50}, {14,42}, {17,53}, {8,35}, {17,45}, {16,54}, {26,34}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {22,35}, {10,43}, {21,36}, {30,46}, {7,44}, {9,49}, {19,51}, {24,42}, {20,40}, {25,54}, {4,52}, {9,43}, {1,46}, {3,37}, {22,32}, {23,41}, {9,42}, {15,43}, {12,35}, {17,32}, {28,41}, {13,52}, {25,58}, {26,58}, {1,58}, {30,42}, {16,32}, {2,32}, {17,48}, {18,37}, {28,47}, {30,58}, {11,38}, {10,49}, {9,37}, {27,38}, {6,40} }; // ETB60.114 // Bipartite(30,30) Valencies [10,10] // Diameter 6 Girth 4 // Has twins VT AT // Automorphism group of order 213986410758144000000000000 EdgesBipt[60][113]:={ {15,33}, {7,48}, {30,54}, {11,40}, {15,38}, {6,59}, {9,32}, {16,51}, {25,37}, {2,55}, {23,53}, {5,59}, {11,59}, {22,40}, {1,49}, {13,37}, {14,38}, {26,49}, {15,44}, {14,50}, {16,58}, {26,43}, {10,33}, {14,31}, {30,41}, {24,54}, {27,33}, {24,36}, {11,53}, {2,49}, {14,56}, {10,39}, {26,37}, {6,48}, {19,37}, {3,39}, {15,56}, {20,37}, {4,51}, {30,59}, {28,52}, {8,31}, {4,40}, {24,48}, {13,43}, {27,56}, {14,44}, {17,35}, {11,35}, {15,57}, {20,38}, {19,31}, {26,38}, {12,48}, {15,32}, {9,33}, {20,43}, {8,37}, {9,57}, {5,41}, {6,60}, {21,38}, {20,49}, {26,55}, {17,59}, {4,58}, {12,42}, {19,48}, {27,50}, {27,32}, {24,47}, {21,50}, {13,55}, {18,35}, {9,56}, {13,42}, {1,36}, {19,42}, {16,34}, {2,56}, {23,58}, {15,45}, {8,38}, {20,55}, {17,47}, {30,36}, {5,34}, {18,47}, {29,47}, {14,32}, {8,49}, {16,40}, {10,51}, {22,34}, {22,58}, {1,43}, {9,39}, {7,54}, {18,36}, {3,38}, {18,59}, {24,41}, {27,45}, {27,39}, {1,42}, {28,40}, {7,60}, {1,31}, {3,51}, {13,49}, {7,37}, {5,53}, {5,35}, {15,50}, {19,49}, {27,57}, {2,44}, {21,45}, {8,56}, {8,50}, {12,47}, {23,40}, {6,36}, {29,52}, {1,55}, {24,53}, {30,47}, {13,48}, {9,51}, {10,57}, {16,57}, {10,46}, {10,58}, {17,58}, {9,38}, {29,59}, {28,34}, {11,58}, {11,52}, {13,36}, {4,45}, {26,44}, {21,57}, {12,41}, {18,54}, {20,31}, {3,44}, {25,49}, {11,34}, {24,59}, {11,46}, {2,43}, {5,52}, {4,33}, {4,57}, {17,46}, {23,35}, {13,31}, {19,55}, {3,32}, {22,45}, {25,31}, {20,44}, {5,40}, {23,47}, {4,34}, {26,31}, {28,45}, {17,52}, {27,51}, {30,48}, {21,32}, {10,52}, {14,43}, {22,57}, {14,37}, {24,35}, {7,49}, {1,48}, {16,45}, {23,59}, {23,34}, {15,39}, {9,44}, {1,54}, {22,52}, {21,39}, {8,32}, {22,39}, {24,60}, {17,41}, {20,32}, {25,42}, {29,41}, {18,41}, {10,40}, {14,55}, {1,60}, {30,60}, {28,39}, {23,52}, {5,46}, {6,47}, {25,43}, {3,33}, {20,50}, {3,50}, {29,58}, {30,35}, {19,43}, {7,55}, {16,46}, {11,47}, {4,46}, {19,60}, {25,36}, {8,43}, {3,56}, {2,31}, {21,33}, {5,58}, {12,36}, {3,45}, {29,53}, {2,37}, {12,53}, {30,53}, {7,31}, {5,47}, {17,34}, {6,54}, {3,57}, {28,33}, {22,33}, {14,49}, {21,44}, {12,60}, {26,50}, {11,41}, {9,50}, {26,32}, {22,51}, {7,42}, {2,50}, {6,41}, {29,46}, {17,40}, {8,44}, {19,36}, {6,42}, {27,44}, {21,51}, {23,46}, {15,51}, {18,53}, {28,57}, {13,54}, {8,55}, {10,34}, {16,33}, {17,53}, {13,60}, {10,45}, {21,56}, {9,45}, {12,59}, {22,46}, {16,39}, {20,56}, {16,52}, {2,38}, {6,53}, {7,43}, {24,42}, {18,60}, {12,54}, {25,54}, {4,52}, {29,35}, {23,41}, {25,55}, {28,58}, {25,60}, {25,48}, {4,39}, {12,35}, {7,36}, {6,35}, {29,34}, {28,51}, {1,37}, {26,56}, {30,42}, {18,42}, {2,32}, {18,48}, {19,54}, {28,46}, {27,38}, {29,40} }; // ETB60.115 // Bipartite(30,30) Valencies [10,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 70448201072640000000 EdgesBipt[60][114]:={ {18,45}, {8,57}, {9,32}, {26,46}, {5,56}, {16,51}, {25,37}, {5,43}, {5,59}, {11,59}, {5,45}, {25,40}, {13,37}, {1,40}, {11,43}, {15,54}, {16,58}, {3,35}, {20,46}, {10,33}, {14,31}, {30,40}, {24,36}, {21,54}, {17,56}, {3,39}, {19,37}, {4,51}, {29,39}, {8,31}, {2,46}, {14,57}, {23,44}, {10,48}, {13,40}, {27,54}, {14,44}, {2,33}, {4,38}, {3,49}, {19,40}, {19,31}, {4,43}, {16,48}, {1,52}, {15,32}, {23,45}, {16,49}, {8,46}, {5,41}, {17,39}, {6,60}, {29,44}, {7,41}, {29,56}, {23,54}, {17,59}, {30,57}, {4,58}, {12,42}, {11,39}, {3,52}, {12,40}, {27,50}, {5,60}, {2,48}, {19,52}, {27,32}, {24,50}, {21,50}, {13,55}, {18,35}, {24,45}, {23,43}, {9,35}, {16,34}, {23,58}, {16,43}, {7,56}, {28,43}, {18,57}, {9,47}, {4,49}, {30,36}, {1,38}, {14,32}, {13,41}, {25,52}, {20,42}, {10,51}, {22,34}, {22,58}, {9,39}, {8,42}, {18,36}, {5,54}, {23,60}, {6,51}, {22,43}, {19,46}, {14,46}, {24,40}, {26,42}, {27,39}, {3,47}, {19,56}, {19,38}, {1,31}, {18,55}, {7,37}, {28,53}, {7,53}, {15,50}, {30,55}, {8,48}, {11,60}, {22,49}, {2,44}, {23,39}, {6,36}, {1,55}, {18,51}, {4,53}, {27,52}, {22,48}, {21,47}, {10,36}, {14,33}, {15,37}, {10,38}, {15,34}, {10,58}, {17,58}, {30,51}, {8,47}, {27,37}, {24,55}, {21,37}, {17,54}, {28,48}, {7,46}, {29,59}, {28,34}, {11,58}, {1,41}, {26,44}, {12,55}, {13,53}, {28,49}, {9,54}, {20,31}, {11,44}, {8,59}, {27,34}, {4,33}, {25,41}, {15,52}, {13,56}, {25,46}, {23,56}, {13,31}, {5,39}, {19,55}, {3,32}, {6,45}, {25,31}, {20,44}, {17,44}, {19,41}, {20,47}, {12,45}, {26,47}, {4,34}, {15,35}, {25,53}, {26,31}, {22,53}, {9,52}, {21,32}, {11,54}, {27,35}, {13,38}, {15,49}, {24,35}, {19,53}, {26,59}, {25,38}, {20,59}, {23,59}, {4,36}, {15,39}, {21,39}, {7,52}, {24,51}, {8,32}, {6,57}, {26,48}, {20,48}, {29,54}, {21,49}, {24,60}, {7,40}, {12,50}, {17,41}, {20,32}, {29,41}, {29,45}, {11,56}, {14,47}, {30,60}, {21,52}, {22,38}, {29,60}, {16,36}, {30,45}, {27,49}, {3,50}, {3,34}, {16,53}, {29,58}, {30,35}, {7,55}, {20,57}, {27,47}, {14,59}, {2,31}, {16,38}, {11,45}, {5,58}, {3,54}, {12,36}, {24,57}, {21,34}, {7,31}, {8,33}, {2,57}, {21,35}, {28,33}, {28,36}, {15,47}, {22,33}, {20,33}, {1,53}, {12,60}, {11,41}, {17,60}, {9,50}, {26,32}, {22,51}, {10,53}, {30,50}, {8,44}, {26,57}, {6,42}, {1,56}, {2,47}, {14,42}, {10,34}, {16,33}, {17,45}, {18,50}, {12,57}, {28,38}, {7,38}, {2,59}, {10,43}, {6,55}, {9,49}, {18,40}, {24,42}, {18,60}, {5,44}, {22,36}, {26,33}, {1,46}, {3,37}, {23,41}, {25,55}, {28,58}, {9,34}, {13,46}, {29,43}, {12,35}, {6,35}, {28,51}, {13,52}, {17,43}, {6,50}, {14,48}, {1,37}, {2,42}, {30,42}, {18,42}, {4,48}, {2,32}, {12,51}, {25,56}, {10,49}, {9,37}, {6,40} }; // ETB60.116 // Bipartite(12,48) Valencies [12,3] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][115]:={ {9,13}, {10,19}, {7,48}, {11,15}, {11,58}, {5,14}, {10,54}, {12,48}, {3,15}, {4,42}, {10,60}, {12,60}, {4,58}, {9,30}, {5,52}, {6,14}, {5,42}, {5,30}, {10,57}, {10,27}, {5,35}, {6,23}, {1,40}, {5,34}, {4,49}, {12,40}, {7,33}, {12,31}, {2,37}, {1,56}, {8,55}, {6,32}, {12,33}, {11,16}, {11,38}, {12,18}, {3,50}, {7,15}, {7,51}, {5,13}, {3,34}, {10,45}, {6,58}, {2,19}, {10,47}, {9,17}, {12,56}, {8,44}, {7,28}, {6,53}, {9,38}, {2,41}, {2,23}, {8,33}, {9,43}, {1,36}, {1,22}, {1,16}, {2,36}, {2,17}, {10,39}, {12,51}, {1,50}, {3,22}, {4,43}, {8,56}, {6,37}, {8,53}, {11,39}, {5,29}, {11,46}, {4,31}, {11,28}, {3,27}, {6,55}, {11,18}, {7,30}, {12,29}, {9,54}, {4,25}, {1,59}, {10,29}, {1,35}, {1,26}, {1,53}, {12,24}, {4,38}, {2,24}, {5,22}, {3,52}, {6,19}, {2,27}, {9,44}, {8,57}, {3,57}, {1,23}, {2,21}, {8,43}, {7,44}, {8,32}, {11,40}, {5,47}, {10,14}, {11,60}, {3,59}, {5,31}, {2,49}, {12,36}, {2,51}, {8,54}, {8,50}, {5,48}, {6,20}, {9,26}, {3,21}, {3,49}, {9,46}, {10,17}, {4,32}, {6,42}, {3,39}, {9,47}, {1,13}, {4,18}, {8,25}, {3,25}, {2,26}, {8,45}, {7,46}, {4,52}, {7,37}, {7,21}, {11,20}, {9,41}, {10,20}, {6,35}, {4,41}, {9,16}, {7,34}, {11,59}, {7,55}, {4,24}, {12,45}, {6,28} }; // ETB60.117 // Bipartite(12,48) Valencies [12,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3466579854281932800000000 EdgesBipt[60][116]:={ {7,43}, {7,19}, {11,43}, {5,14}, {12,48}, {3,15}, {8,39}, {8,31}, {10,60}, {6,18}, {4,14}, {5,42}, {5,30}, {9,42}, {6,36}, {5,50}, {7,59}, {10,57}, {12,16}, {4,48}, {2,20}, {4,40}, {5,34}, {1,25}, {4,16}, {12,40}, {6,50}, {8,55}, {9,39}, {7,45}, {7,27}, {5,58}, {10,44}, {11,38}, {11,22}, {10,52}, {7,51}, {2,28}, {9,31}, {11,54}, {12,53}, {3,31}, {6,34}, {6,58}, {5,26}, {3,51}, {8,41}, {3,55}, {3,19}, {1,29}, {12,56}, {8,15}, {12,21}, {9,58}, {2,52}, {10,36}, {8,33}, {2,56}, {4,46}, {1,17}, {10,25}, {2,16}, {2,32}, {8,47}, {2,36}, {10,41}, {7,29}, {9,34}, {9,23}, {7,53}, {7,13}, {3,23}, {8,17}, {11,46}, {3,27}, {4,30}, {6,26}, {10,33}, {2,40}, {3,47}, {11,51}, {12,29}, {9,15}, {1,53}, {2,44}, {11,14}, {7,35}, {12,24}, {4,38}, {6,52}, {2,24}, {6,60}, {5,22}, {8,57}, {5,38}, {3,35}, {5,46}, {2,48}, {10,49}, {10,28}, {11,19}, {4,22}, {1,49}, {3,59}, {4,56}, {8,23}, {6,20}, {9,26}, {11,30}, {1,41}, {9,18}, {10,17}, {11,27}, {4,32}, {6,42}, {3,39}, {8,49}, {1,37}, {4,54}, {9,47}, {1,13}, {8,25}, {7,37}, {7,21}, {1,33}, {12,32}, {10,20}, {2,60}, {5,18}, {6,44}, {3,43}, {9,55}, {1,45}, {11,59}, {1,57}, {9,50}, {11,35}, {12,37}, {1,21}, {4,24}, {12,13}, {12,45}, {5,54}, {6,28} }; // ETB60.118 // Bipartite(12,48) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2629465015396073472 EdgesBipt[60][117]:={ {11,43}, {7,39}, {6,48}, {5,14}, {10,21}, {11,17}, {4,58}, {3,56}, {8,59}, {6,14}, {4,60}, {11,55}, {6,36}, {5,50}, {10,57}, {7,40}, {12,16}, {4,48}, {10,38}, {11,29}, {11,42}, {1,25}, {12,40}, {2,47}, {2,37}, {3,32}, {10,40}, {6,50}, {1,56}, {9,39}, {7,27}, {8,46}, {1,44}, {12,18}, {1,32}, {10,52}, {7,15}, {3,45}, {5,13}, {7,51}, {8,34}, {11,54}, {3,31}, {9,51}, {10,45}, {5,26}, {3,55}, {3,19}, {5,37}, {5,49}, {8,22}, {7,28}, {6,43}, {9,58}, {12,30}, {9,27}, {2,23}, {7,41}, {8,33}, {4,46}, {11,53}, {12,54}, {8,47}, {2,36}, {8,21}, {7,29}, {9,34}, {4,53}, {2,13}, {5,51}, {4,29}, {10,16}, {5,15}, {7,53}, {8,35}, {8,58}, {6,26}, {6,55}, {10,33}, {11,18}, {12,28}, {4,36}, {4,17}, {2,35}, {7,52}, {12,35}, {9,15}, {12,59}, {12,23}, {2,24}, {6,60}, {6,31}, {11,41}, {6,19}, {9,44}, {8,57}, {5,38}, {3,57}, {1,54}, {2,48}, {5,27}, {10,28}, {11,19}, {6,38}, {4,22}, {1,49}, {10,14}, {11,31}, {2,49}, {8,23}, {1,42}, {7,16}, {2,59}, {3,21}, {11,30}, {9,46}, {3,44}, {1,37}, {1,20}, {12,42}, {1,13}, {12,47}, {8,45}, {3,20}, {10,50}, {2,25}, {2,60}, {6,24}, {9,32}, {12,52}, {3,43}, {9,56}, {10,26}, {4,34}, {4,41}, {3,33}, {7,17}, {1,30}, {5,39}, {1,18}, {5,25}, {4,24}, {9,20}, {9,22} }; // ETB60.119 // Bipartite(12,48) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1624959306694656 EdgesBipt[60][118]:={ {2,44}, {10,25}, {11,20}, {9,28}, {2,33}, {11,36}, {7,15}, {4,24}, {9,60}, {4,16}, {4,53}, {6,17}, {4,56}, {5,55}, {1,13}, {8,43}, {9,45}, {7,55}, {1,27}, {3,43}, {3,25}, {7,44}, {5,56}, {9,44}, {12,39}, {10,33}, {12,55}, {11,58}, {11,14}, {3,57}, {2,28}, {12,34}, {8,15}, {9,35}, {8,31}, {8,27}, {12,37}, {12,50}, {4,38}, {6,47}, {5,40}, {11,38}, {3,46}, {6,40}, {6,31}, {2,34}, {1,50}, {4,22}, {8,19}, {9,29}, {1,18}, {6,58}, {3,14}, {12,20}, {12,36}, {5,29}, {8,47}, {9,19}, {10,52}, {7,46}, {7,39}, {5,25}, {10,41}, {11,22}, {5,23}, {9,54}, {4,21}, {1,59}, {6,49}, {2,48}, {1,29}, {7,30}, {2,16}, {3,32}, {2,32}, {6,33}, {6,24}, {11,30}, {5,24}, {4,48}, {8,53}, {1,45}, {1,58}, {6,56}, {8,35}, {7,14}, {3,27}, {9,51}, {4,54}, {1,43}, {8,37}, {10,51}, {9,22}, {7,31}, {11,54}, {6,15}, {5,41}, {2,17}, {7,47}, {9,13}, {11,52}, {8,21}, {1,42}, {12,23}, {6,26}, {12,53}, {11,46}, {7,60}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {11,26}, {4,40}, {10,35}, {7,23}, {3,30}, {10,17}, {1,26}, {10,36}, {3,48}, {10,49}, {12,52}, {10,57}, {9,38}, {10,19}, {5,13}, {5,45}, {3,41}, {8,51}, {10,20}, {3,59}, {2,18}, {1,34}, {2,60}, {11,42}, {8,59}, {4,32}, {5,57}, {12,18}, {12,21}, {2,50}, {2,49} }; // ETB60.120 // Bipartite(12,48) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 541653102231552 EdgesBipt[60][119]:={ {9,13}, {11,43}, {5,14}, {10,21}, {3,15}, {4,42}, {4,58}, {3,56}, {11,23}, {12,19}, {11,55}, {5,30}, {6,36}, {6,17}, {10,27}, {4,48}, {8,36}, {12,57}, {9,45}, {10,43}, {7,60}, {4,16}, {4,49}, {12,14}, {12,22}, {10,40}, {7,31}, {9,21}, {11,38}, {11,22}, {9,37}, {10,53}, {8,42}, {7,15}, {5,13}, {2,28}, {11,54}, {1,52}, {12,25}, {3,31}, {2,19}, {4,26}, {8,41}, {3,55}, {10,30}, {1,29}, {5,49}, {7,28}, {6,43}, {11,34}, {12,30}, {5,33}, {12,46}, {7,41}, {6,49}, {2,56}, {12,54}, {1,36}, {2,16}, {2,32}, {6,33}, {3,40}, {4,33}, {8,21}, {9,34}, {12,51}, {6,59}, {7,47}, {7,25}, {10,37}, {10,24}, {5,15}, {1,55}, {8,26}, {3,23}, {8,53}, {8,58}, {11,39}, {5,29}, {1,19}, {11,18}, {2,40}, {4,17}, {2,35}, {3,47}, {12,35}, {1,35}, {2,44}, {9,48}, {4,38}, {6,52}, {2,24}, {6,60}, {10,59}, {3,42}, {11,50}, {12,38}, {3,58}, {8,57}, {5,46}, {1,23}, {2,48}, {5,45}, {1,39}, {7,18}, {9,53}, {7,44}, {4,22}, {5,47}, {10,14}, {3,26}, {3,24}, {5,17}, {5,31}, {2,51}, {8,20}, {6,20}, {10,56}, {1,51}, {9,18}, {11,27}, {4,32}, {8,52}, {3,39}, {1,20}, {4,54}, {1,13}, {8,25}, {9,29}, {12,41}, {7,50}, {8,37}, {2,60}, {9,32}, {6,44}, {6,27}, {10,46}, {9,16}, {7,34}, {1,45}, {11,59}, {9,50}, {7,57}, {6,28} }; // ETB60.121 // Bipartite(12,48) Valencies [12,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2415919104 EdgesBipt[60][120]:={ {7,43}, {7,19}, {7,39}, {8,39}, {12,26}, {10,22}, {4,58}, {3,56}, {5,52}, {12,19}, {3,29}, {11,55}, {6,36}, {8,51}, {6,17}, {12,16}, {10,27}, {4,48}, {8,36}, {6,41}, {7,60}, {3,53}, {4,49}, {6,13}, {12,40}, {7,33}, {12,31}, {12,14}, {3,32}, {10,40}, {1,38}, {5,41}, {1,56}, {2,33}, {9,39}, {7,45}, {11,38}, {4,44}, {1,32}, {11,22}, {9,57}, {10,53}, {7,15}, {3,34}, {11,54}, {9,51}, {2,19}, {2,18}, {10,47}, {8,13}, {5,21}, {10,23}, {6,54}, {3,18}, {7,28}, {8,15}, {12,21}, {4,20}, {9,27}, {2,50}, {8,47}, {1,50}, {6,59}, {10,31}, {10,16}, {8,56}, {6,37}, {3,23}, {5,29}, {11,46}, {2,42}, {4,30}, {2,34}, {7,52}, {2,57}, {4,17}, {3,47}, {5,28}, {9,25}, {4,25}, {9,15}, {1,59}, {10,29}, {1,35}, {1,26}, {2,58}, {11,14}, {9,49}, {8,60}, {9,48}, {6,52}, {6,60}, {9,33}, {3,42}, {12,38}, {12,55}, {3,58}, {2,43}, {12,43}, {5,53}, {6,30}, {5,45}, {8,27}, {5,20}, {8,32}, {11,31}, {5,17}, {9,24}, {2,49}, {10,55}, {8,23}, {11,48}, {1,42}, {1,14}, {11,30}, {9,46}, {3,44}, {1,37}, {4,54}, {10,51}, {1,13}, {2,26}, {3,20}, {7,21}, {2,25}, {8,37}, {6,35}, {4,34}, {10,46}, {4,41}, {5,44}, {11,59}, {12,50}, {7,36}, {11,24}, {5,16}, {11,35}, {1,18}, {4,24}, {5,40}, {12,45}, {6,28}, {7,57}, {9,22} }; // ETB60.122 // Bipartite(15,45) Valencies [12,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[60][121]:={ {2,44}, {9,58}, {3,33}, {2,24}, {13,32}, {11,36}, {4,24}, {14,19}, {3,22}, {12,45}, {2,23}, {8,43}, {9,45}, {12,22}, {7,38}, {8,33}, {1,27}, {10,23}, {12,38}, {7,54}, {8,52}, {12,41}, {9,49}, {12,42}, {11,58}, {7,34}, {15,47}, {7,36}, {3,57}, {2,28}, {1,30}, {8,31}, {2,54}, {13,55}, {3,17}, {13,56}, {15,29}, {6,47}, {5,40}, {14,23}, {10,48}, {4,60}, {14,33}, {14,60}, {3,49}, {6,58}, {10,47}, {5,50}, {9,27}, {5,29}, {4,41}, {8,41}, {2,38}, {12,49}, {10,52}, {12,44}, {8,45}, {5,25}, {7,32}, {3,56}, {15,26}, {1,31}, {11,31}, {11,44}, {1,22}, {1,51}, {2,59}, {6,30}, {4,21}, {9,34}, {6,49}, {7,30}, {2,16}, {11,21}, {4,35}, {11,57}, {15,41}, {2,32}, {5,18}, {11,29}, {13,50}, {5,24}, {12,47}, {5,46}, {8,53}, {15,34}, {13,25}, {6,56}, {8,56}, {10,42}, {4,55}, {1,28}, {14,37}, {4,43}, {15,17}, {6,23}, {13,36}, {10,55}, {14,59}, {13,60}, {12,59}, {8,57}, {9,40}, {11,52}, {8,32}, {1,42}, {3,19}, {14,22}, {6,27}, {5,44}, {6,26}, {12,53}, {14,34}, {3,21}, {1,46}, {4,58}, {6,54}, {5,51}, {1,53}, {7,60}, {13,46}, {1,37}, {14,25}, {4,37}, {11,26}, {13,26}, {5,33}, {10,17}, {11,37}, {3,24}, {4,51}, {1,16}, {15,51}, {9,17}, {10,18}, {13,48}, {6,25}, {2,31}, {10,50}, {11,40}, {3,55}, {14,43}, {8,18}, {15,28}, {9,39}, {12,48}, {9,38}, {10,19}, {15,57}, {9,52}, {4,20}, {11,48}, {3,28}, {8,20}, {15,59}, {3,54}, {15,39}, {9,46}, {10,20}, {6,20}, {7,35}, {13,39}, {13,45}, {15,30}, {5,35}, {7,19}, {2,43}, {6,35}, {9,16}, {4,39}, {7,40}, {7,42}, {14,27}, {12,21}, {5,53}, {1,36}, {14,29}, {2,50}, {7,18}, {10,16} }; // ETB60.123 // Bipartite(15,45) Valencies [12,4] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 77760 EdgesBipt[60][122]:={ {11,17}, {8,48}, {9,58}, {3,60}, {10,24}, {1,20}, {2,24}, {13,52}, {9,28}, {6,16}, {4,27}, {11,56}, {14,19}, {4,16}, {4,30}, {4,50}, {11,25}, {4,56}, {2,23}, {7,38}, {8,42}, {8,54}, {3,45}, {12,38}, {7,44}, {9,44}, {4,19}, {13,57}, {12,41}, {10,33}, {1,19}, {5,47}, {12,55}, {13,35}, {15,48}, {15,54}, {14,50}, {15,43}, {3,52}, {8,25}, {2,41}, {2,28}, {14,28}, {4,23}, {8,31}, {11,50}, {15,60}, {15,29}, {3,46}, {10,48}, {1,17}, {1,50}, {4,22}, {10,38}, {3,49}, {6,58}, {10,47}, {14,21}, {9,26}, {9,27}, {5,29}, {12,44}, {14,30}, {7,32}, {1,31}, {11,22}, {7,43}, {11,31}, {1,22}, {10,59}, {4,21}, {3,51}, {14,16}, {13,49}, {7,30}, {3,39}, {7,53}, {15,41}, {8,36}, {2,32}, {15,53}, {6,46}, {9,56}, {15,35}, {5,24}, {12,28}, {5,49}, {1,45}, {1,58}, {6,56}, {13,25}, {8,35}, {14,58}, {9,20}, {8,37}, {10,51}, {9,22}, {12,33}, {10,43}, {10,55}, {5,41}, {13,60}, {8,57}, {7,47}, {12,27}, {9,40}, {11,52}, {5,54}, {14,17}, {14,18}, {6,26}, {12,40}, {12,53}, {12,30}, {1,39}, {5,36}, {6,19}, {1,46}, {7,29}, {1,37}, {11,26}, {6,42}, {5,60}, {4,40}, {11,16}, {7,23}, {2,21}, {8,34}, {5,33}, {9,18}, {11,37}, {2,29}, {14,44}, {10,36}, {13,51}, {15,51}, {9,17}, {13,48}, {14,32}, {2,47}, {10,49}, {6,25}, {2,40}, {6,34}, {15,38}, {10,57}, {3,42}, {6,52}, {11,45}, {4,20}, {12,24}, {7,27}, {8,46}, {13,37}, {15,59}, {3,54}, {3,31}, {6,39}, {2,55}, {7,33}, {13,34}, {6,20}, {13,39}, {3,59}, {13,45}, {5,35}, {2,18}, {1,34}, {2,43}, {15,55}, {11,42}, {3,36}, {9,23}, {8,59}, {4,32}, {5,57}, {12,21}, {5,53}, {14,26}, {7,18} }; // ETB60.124 // Bipartite(15,45) Valencies [12,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 169266594447360 EdgesBipt[60][123]:={ {6,48}, {8,48}, {11,17}, {11,53}, {3,33}, {10,25}, {2,24}, {13,52}, {14,56}, {2,46}, {5,34}, {4,24}, {4,26}, {12,51}, {3,40}, {4,53}, {1,56}, {8,30}, {4,56}, {5,38}, {7,55}, {8,33}, {3,43}, {3,25}, {12,39}, {7,22}, {9,49}, {1,19}, {12,42}, {3,58}, {11,58}, {14,50}, {15,43}, {10,44}, {2,28}, {9,35}, {4,23}, {8,31}, {13,29}, {2,54}, {15,60}, {3,18}, {11,28}, {6,29}, {8,16}, {15,45}, {4,38}, {3,34}, {15,56}, {11,38}, {3,49}, {7,57}, {10,47}, {12,36}, {1,44}, {4,41}, {8,47}, {9,19}, {8,45}, {7,46}, {2,39}, {15,26}, {1,31}, {8,60}, {11,22}, {7,25}, {2,35}, {10,59}, {5,23}, {10,29}, {9,34}, {1,59}, {13,22}, {10,21}, {2,20}, {6,18}, {10,40}, {9,50}, {1,29}, {8,17}, {2,16}, {7,16}, {15,41}, {6,33}, {11,23}, {6,50}, {13,44}, {5,30}, {14,47}, {6,44}, {9,37}, {5,49}, {14,42}, {13,54}, {4,55}, {9,20}, {14,41}, {9,51}, {4,54}, {6,23}, {15,36}, {10,51}, {5,42}, {9,22}, {7,31}, {12,33}, {13,30}, {10,55}, {12,57}, {13,60}, {12,27}, {11,52}, {14,17}, {8,32}, {3,19}, {13,24}, {1,49}, {10,32}, {1,46}, {14,20}, {15,21}, {5,60}, {4,40}, {10,17}, {11,37}, {1,26}, {10,36}, {1,16}, {3,48}, {15,51}, {11,32}, {14,32}, {6,38}, {2,31}, {9,36}, {14,57}, {3,55}, {11,47}, {5,27}, {8,18}, {2,58}, {15,28}, {12,48}, {4,25}, {9,52}, {12,24}, {3,28}, {7,27}, {8,46}, {14,35}, {1,41}, {13,37}, {5,45}, {6,59}, {13,59}, {5,19}, {6,20}, {13,39}, {11,43}, {6,53}, {13,45}, {15,30}, {7,37}, {1,34}, {7,52}, {2,43}, {6,35}, {9,21}, {4,39}, {12,54}, {7,40}, {7,42}, {14,27}, {5,57}, {12,18}, {12,21}, {5,53}, {2,50}, {15,58}, {14,26} }; // ETB60.125 // Bipartite(15,45) Valencies [12,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 28211099074560 EdgesBipt[60][124]:={ {8,48}, {11,53}, {3,33}, {10,25}, {13,32}, {6,32}, {11,56}, {15,24}, {4,53}, {1,56}, {4,50}, {4,30}, {6,17}, {5,55}, {8,33}, {3,43}, {12,38}, {7,54}, {13,57}, {7,22}, {9,49}, {15,44}, {10,33}, {2,27}, {1,19}, {3,58}, {12,55}, {11,58}, {7,34}, {11,41}, {12,35}, {15,54}, {14,50}, {12,58}, {13,47}, {4,23}, {13,29}, {12,50}, {2,42}, {6,22}, {3,18}, {11,28}, {10,30}, {6,29}, {2,45}, {4,38}, {15,29}, {6,47}, {5,40}, {15,56}, {11,38}, {3,46}, {10,48}, {4,60}, {5,22}, {7,57}, {12,20}, {1,44}, {8,41}, {9,19}, {14,40}, {7,39}, {5,25}, {15,26}, {1,31}, {4,45}, {7,49}, {10,28}, {11,31}, {2,35}, {4,33}, {9,54}, {9,34}, {1,59}, {6,49}, {3,51}, {2,20}, {2,57}, {10,40}, {12,43}, {1,29}, {4,35}, {15,41}, {8,36}, {2,32}, {11,23}, {13,44}, {14,55}, {5,30}, {14,47}, {6,44}, {4,48}, {8,53}, {12,28}, {12,25}, {8,56}, {13,54}, {14,37}, {9,51}, {10,45}, {10,60}, {15,36}, {8,26}, {5,42}, {10,58}, {10,43}, {10,55}, {2,17}, {14,17}, {8,21}, {12,23}, {14,22}, {13,24}, {1,49}, {12,40}, {12,53}, {8,23}, {3,21}, {6,19}, {1,46}, {11,46}, {13,27}, {13,42}, {14,20}, {15,21}, {14,25}, {3,16}, {11,26}, {5,60}, {11,16}, {8,38}, {1,26}, {1,16}, {3,48}, {15,51}, {10,18}, {14,32}, {2,47}, {14,52}, {9,36}, {6,34}, {5,27}, {8,18}, {4,18}, {9,39}, {6,52}, {4,20}, {3,28}, {7,27}, {14,35}, {1,41}, {15,59}, {5,45}, {7,24}, {3,31}, {15,39}, {9,24}, {6,59}, {9,46}, {13,59}, {8,51}, {6,37}, {13,39}, {11,43}, {2,30}, {13,17}, {7,37}, {9,31}, {2,60}, {7,52}, {1,34}, {5,37}, {7,19}, {9,21}, {9,16}, {3,36}, {7,42}, {5,52}, {5,57}, {2,50} }; // ETB60.126 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2880 EdgesBipt[60][125]:={ {6,48}, {11,53}, {3,60}, {16,41}, {17,50}, {17,35}, {4,27}, {2,46}, {12,29}, {17,56}, {15,24}, {16,26}, {3,22}, {15,46}, {4,53}, {16,27}, {8,30}, {7,48}, {14,39}, {2,23}, {9,45}, {2,51}, {5,38}, {12,32}, {8,42}, {16,57}, {15,49}, {16,31}, {9,55}, {18,50}, {1,32}, {1,27}, {3,25}, {10,23}, {19,24}, {1,40}, {5,56}, {9,44}, {13,57}, {12,39}, {4,31}, {10,33}, {3,58}, {16,59}, {9,43}, {3,37}, {20,21}, {15,48}, {14,31}, {1,21}, {7,36}, {17,21}, {18,21}, {10,44}, {8,25}, {2,28}, {12,34}, {18,41}, {8,44}, {10,53}, {18,42}, {7,58}, {15,45}, {16,30}, {19,28}, {4,38}, {6,47}, {2,25}, {3,46}, {1,38}, {4,60}, {7,56}, {19,54}, {9,29}, {10,47}, {9,32}, {14,36}, {5,50}, {16,24}, {9,26}, {19,59}, {5,29}, {2,38}, {8,47}, {2,37}, {10,52}, {5,43}, {12,44}, {17,51}, {15,26}, {1,31}, {2,53}, {7,43}, {7,25}, {14,24}, {5,58}, {17,33}, {1,22}, {15,27}, {1,51}, {20,33}, {6,43}, {18,49}, {4,21}, {9,54}, {9,34}, {13,22}, {3,51}, {17,55}, {20,59}, {13,49}, {18,55}, {10,40}, {7,30}, {7,50}, {13,31}, {3,32}, {19,52}, {8,36}, {14,48}, {19,42}, {11,23}, {1,23}, {6,50}, {11,29}, {5,30}, {6,44}, {19,55}, {12,47}, {17,49}, {1,60}, {1,58}, {5,48}, {8,56}, {18,24}, {20,28}, {8,35}, {14,41}, {3,27}, {4,28}, {10,45}, {18,33}, {4,46}, {15,36}, {12,26}, {12,33}, {11,54}, {18,52}, {13,30}, {10,43}, {10,55}, {8,57}, {17,54}, {7,47}, {9,40}, {11,52}, {14,22}, {19,60}, {8,58}, {11,39}, {5,44}, {12,40}, {12,53}, {3,23}, {14,34}, {11,55}, {14,49}, {17,59}, {19,51}, {4,58}, {20,60}, {17,41}, {7,29}, {19,56}, {13,27}, {10,39}, {19,49}, {1,37}, {16,34}, {20,35}, {13,26}, {6,42}, {11,26}, {3,53}, {14,45}, {4,40}, {17,60}, {16,36}, {6,36}, {2,21}, {18,28}, {20,52}, {8,38}, {2,22}, {10,34}, {15,22}, {11,32}, {13,48}, {6,25}, {13,41}, {20,42}, {6,38}, {20,24}, {2,40}, {2,31}, {18,51}, {9,33}, {12,52}, {14,57}, {11,47}, {16,46}, {16,39}, {4,25}, {11,45}, {3,28}, {20,41}, {15,59}, {19,50}, {15,39}, {13,59}, {14,46}, {6,37}, {13,34}, {20,56}, {11,43}, {20,54}, {13,45}, {15,30}, {7,37}, {5,35}, {5,37}, {6,35}, {12,54}, {18,35}, {7,42}, {9,23}, {8,29}, {4,32}, {5,57}, {6,57} }; // ETB60.127 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 960 EdgesBipt[60][126]:={ {11,53}, {9,58}, {3,60}, {10,25}, {2,24}, {6,32}, {17,35}, {12,29}, {2,46}, {13,21}, {5,34}, {13,40}, {4,24}, {15,24}, {3,22}, {2,56}, {17,38}, {12,45}, {10,37}, {14,51}, {7,48}, {4,56}, {14,39}, {5,55}, {16,47}, {8,42}, {15,31}, {1,32}, {3,43}, {20,57}, {7,41}, {7,54}, {5,56}, {9,44}, {14,38}, {12,39}, {4,31}, {9,49}, {15,44}, {13,53}, {15,48}, {19,47}, {18,56}, {8,39}, {11,41}, {1,21}, {17,24}, {16,25}, {12,35}, {16,60}, {12,58}, {9,53}, {2,28}, {18,41}, {20,30}, {8,31}, {11,50}, {2,42}, {19,21}, {6,22}, {18,42}, {14,54}, {16,43}, {7,58}, {2,45}, {15,45}, {4,38}, {15,29}, {6,47}, {6,21}, {2,25}, {1,50}, {20,55}, {10,38}, {3,49}, {15,32}, {9,27}, {19,59}, {1,44}, {2,38}, {2,37}, {10,52}, {8,45}, {14,30}, {17,51}, {4,42}, {5,25}, {17,39}, {10,28}, {1,51}, {11,59}, {20,33}, {6,30}, {6,43}, {18,49}, {9,54}, {10,29}, {3,51}, {13,49}, {4,59}, {4,52}, {16,37}, {10,40}, {9,50}, {7,30}, {7,50}, {7,53}, {3,32}, {4,35}, {7,26}, {6,33}, {18,43}, {11,23}, {20,44}, {14,55}, {13,50}, {6,44}, {19,41}, {5,24}, {5,46}, {13,23}, {1,60}, {11,60}, {18,53}, {1,58}, {17,48}, {13,25}, {8,35}, {13,28}, {14,58}, {20,45}, {18,27}, {3,27}, {20,22}, {9,51}, {18,36}, {4,28}, {1,33}, {6,23}, {1,43}, {3,26}, {8,37}, {13,36}, {16,49}, {17,31}, {17,52}, {12,26}, {9,22}, {12,33}, {12,57}, {10,55}, {4,36}, {8,57}, {17,54}, {7,47}, {19,46}, {14,22}, {6,27}, {18,59}, {1,49}, {6,26}, {8,40}, {5,59}, {12,30}, {5,36}, {11,46}, {19,36}, {19,56}, {6,41}, {7,60}, {9,30}, {10,39}, {13,27}, {18,60}, {16,21}, {16,56}, {20,35}, {3,53}, {4,40}, {7,23}, {8,34}, {20,26}, {11,37}, {2,29}, {18,28}, {20,52}, {14,44}, {10,36}, {3,48}, {10,34}, {15,51}, {15,33}, {19,43}, {1,47}, {20,24}, {2,31}, {11,40}, {14,52}, {14,57}, {16,42}, {11,47}, {15,38}, {19,25}, {16,46}, {10,57}, {12,48}, {8,46}, {13,37}, {5,45}, {3,41}, {1,48}, {3,54}, {18,40}, {17,26}, {2,55}, {7,33}, {12,31}, {13,34}, {11,34}, {17,22}, {16,50}, {19,34}, {5,35}, {19,23}, {15,55}, {17,32}, {11,42}, {9,21}, {12,54}, {4,39}, {16,28}, {9,23}, {20,32}, {8,59}, {8,29}, {5,52}, {5,57}, {19,27}, {14,29}, {15,58} }; // ETB60.128 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[60][127]:={ {8,48}, {11,53}, {3,33}, {3,60}, {13,52}, {9,28}, {11,36}, {18,39}, {12,29}, {11,35}, {11,56}, {16,33}, {4,26}, {12,51}, {2,56}, {3,40}, {12,45}, {10,37}, {17,47}, {4,53}, {16,27}, {4,56}, {17,53}, {5,55}, {9,45}, {16,57}, {18,50}, {10,23}, {19,24}, {7,44}, {1,40}, {10,26}, {5,56}, {7,22}, {12,39}, {3,58}, {13,53}, {5,47}, {20,21}, {15,48}, {19,47}, {2,26}, {14,31}, {15,47}, {15,54}, {18,21}, {10,44}, {2,41}, {2,28}, {12,34}, {1,30}, {18,41}, {16,23}, {17,46}, {12,50}, {18,34}, {10,22}, {15,25}, {18,42}, {6,29}, {2,25}, {5,40}, {20,50}, {2,36}, {9,48}, {7,56}, {10,38}, {7,57}, {9,29}, {3,49}, {6,58}, {10,47}, {14,21}, {16,24}, {9,27}, {19,59}, {1,44}, {2,38}, {12,46}, {11,49}, {2,37}, {14,30}, {19,22}, {4,42}, {5,25}, {17,58}, {17,23}, {16,52}, {7,43}, {1,22}, {1,51}, {19,38}, {10,59}, {11,59}, {6,43}, {18,49}, {4,21}, {9,54}, {9,34}, {15,42}, {2,57}, {13,49}, {18,55}, {4,52}, {16,37}, {16,58}, {7,50}, {7,53}, {3,32}, {4,35}, {15,41}, {8,36}, {13,33}, {14,48}, {11,23}, {20,44}, {13,44}, {14,55}, {5,30}, {13,50}, {17,30}, {9,56}, {12,47}, {1,60}, {14,42}, {15,34}, {13,25}, {20,28}, {13,28}, {14,58}, {4,55}, {19,31}, {18,27}, {3,50}, {14,37}, {9,51}, {4,43}, {1,33}, {18,33}, {3,29}, {6,23}, {1,43}, {4,46}, {10,60}, {8,37}, {8,26}, {17,31}, {17,52}, {1,52}, {12,26}, {7,31}, {11,54}, {10,43}, {17,54}, {6,51}, {19,46}, {9,40}, {5,54}, {8,32}, {16,45}, {8,21}, {1,42}, {1,24}, {9,57}, {14,22}, {13,24}, {17,25}, {18,59}, {8,40}, {20,23}, {20,39}, {16,44}, {19,45}, {7,29}, {6,41}, {7,60}, {10,39}, {13,46}, {20,48}, {19,49}, {5,39}, {7,28}, {20,37}, {5,60}, {6,42}, {6,36}, {3,30}, {5,33}, {4,51}, {2,29}, {11,27}, {6,45}, {8,38}, {20,34}, {10,36}, {15,22}, {11,32}, {14,32}, {8,24}, {13,41}, {11,40}, {14,57}, {6,34}, {5,27}, {15,38}, {8,49}, {5,26}, {2,58}, {15,28}, {16,39}, {6,52}, {13,38}, {4,25}, {17,45}, {8,46}, {14,35}, {20,53}, {15,59}, {3,41}, {1,48}, {3,31}, {9,24}, {6,59}, {8,51}, {2,55}, {12,31}, {19,35}, {7,35}, {11,43}, {19,57}, {20,54}, {15,30}, {17,32}, {3,36}, {18,35}, {20,32}, {19,27}, {12,21}, {16,55}, {12,60} }; // ETB60.129 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[60][128]:={ {6,48}, {8,48}, {2,44}, {11,53}, {9,58}, {3,33}, {3,60}, {13,32}, {9,28}, {17,36}, {4,27}, {2,46}, {13,21}, {18,48}, {9,60}, {15,24}, {16,33}, {12,51}, {12,45}, {15,46}, {4,53}, {18,32}, {1,56}, {14,51}, {4,56}, {17,53}, {12,22}, {16,57}, {20,27}, {12,38}, {20,40}, {7,41}, {7,44}, {10,26}, {5,56}, {12,41}, {15,44}, {10,33}, {3,35}, {9,43}, {20,21}, {15,48}, {8,39}, {7,34}, {11,41}, {17,24}, {16,25}, {12,35}, {7,36}, {17,21}, {3,52}, {16,23}, {14,28}, {8,44}, {8,27}, {13,29}, {2,54}, {18,34}, {10,22}, {13,55}, {18,42}, {11,28}, {14,54}, {18,37}, {10,30}, {19,28}, {15,29}, {6,47}, {3,34}, {5,40}, {2,25}, {14,23}, {15,56}, {11,33}, {6,31}, {6,40}, {1,38}, {20,55}, {7,57}, {10,47}, {14,21}, {5,50}, {15,32}, {16,24}, {19,30}, {19,59}, {12,36}, {2,38}, {8,47}, {2,37}, {2,52}, {5,43}, {19,29}, {8,45}, {19,22}, {1,31}, {7,49}, {7,43}, {20,31}, {3,44}, {6,55}, {4,47}, {6,30}, {4,33}, {3,51}, {10,21}, {20,59}, {13,49}, {9,50}, {1,29}, {3,39}, {19,52}, {15,41}, {8,36}, {2,32}, {7,26}, {13,33}, {14,48}, {15,50}, {1,23}, {5,30}, {13,50}, {17,30}, {19,55}, {11,30}, {12,47}, {17,27}, {18,53}, {19,58}, {1,58}, {17,48}, {13,54}, {6,56}, {13,28}, {18,26}, {20,58}, {3,27}, {9,51}, {10,46}, {4,43}, {3,29}, {16,38}, {10,60}, {8,37}, {8,26}, {17,31}, {5,42}, {16,22}, {7,31}, {10,58}, {14,59}, {9,40}, {11,52}, {5,54}, {16,45}, {7,59}, {9,57}, {11,24}, {17,25}, {11,39}, {1,49}, {20,23}, {12,40}, {5,59}, {12,53}, {3,23}, {1,39}, {14,49}, {17,29}, {1,46}, {11,46}, {16,44}, {4,58}, {6,54}, {1,53}, {19,36}, {6,41}, {18,23}, {18,60}, {1,35}, {13,42}, {1,37}, {14,25}, {16,56}, {11,26}, {14,45}, {10,35}, {17,60}, {20,26}, {4,51}, {18,28}, {20,52}, {4,34}, {8,50}, {15,22}, {15,51}, {18,22}, {13,41}, {2,47}, {20,24}, {4,49}, {2,31}, {10,50}, {12,52}, {9,36}, {14,57}, {16,42}, {6,34}, {5,27}, {8,55}, {8,49}, {19,25}, {10,57}, {9,39}, {13,38}, {9,38}, {4,25}, {11,45}, {15,59}, {5,45}, {3,54}, {9,24}, {18,40}, {6,39}, {14,46}, {17,42}, {7,35}, {11,43}, {19,34}, {5,35}, {2,60}, {5,37}, {2,43}, {7,42}, {19,37}, {20,32}, {4,32}, {6,57}, {12,21}, {16,55} }; // ETB60.130 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3840 EdgesBipt[60][129]:={ {17,57}, {8,48}, {15,52}, {3,33}, {16,41}, {17,50}, {2,24}, {13,52}, {9,28}, {2,33}, {17,44}, {11,36}, {12,29}, {11,35}, {4,24}, {16,26}, {3,22}, {12,51}, {17,38}, {11,25}, {4,50}, {18,46}, {7,48}, {4,56}, {2,23}, {8,43}, {9,45}, {2,51}, {12,32}, {16,47}, {8,42}, {19,44}, {15,49}, {18,50}, {20,27}, {8,33}, {20,57}, {20,40}, {1,40}, {5,56}, {12,39}, {12,42}, {11,58}, {18,54}, {3,37}, {20,21}, {19,47}, {7,34}, {15,47}, {14,50}, {18,21}, {2,41}, {9,53}, {18,41}, {14,28}, {20,30}, {8,44}, {4,23}, {17,46}, {8,27}, {13,55}, {14,54}, {16,43}, {7,58}, {10,30}, {6,29}, {16,30}, {19,28}, {3,34}, {5,40}, {14,23}, {20,38}, {11,38}, {10,48}, {1,38}, {2,36}, {9,48}, {14,60}, {5,22}, {19,54}, {10,38}, {17,37}, {14,21}, {19,26}, {16,24}, {9,27}, {16,53}, {1,44}, {12,46}, {2,37}, {16,54}, {19,29}, {11,51}, {4,42}, {3,56}, {1,31}, {4,45}, {7,49}, {7,43}, {10,28}, {7,25}, {5,58}, {2,35}, {1,22}, {1,51}, {20,33}, {6,55}, {4,47}, {18,49}, {5,23}, {10,29}, {13,22}, {2,57}, {13,49}, {2,48}, {17,43}, {16,58}, {18,30}, {3,32}, {11,21}, {4,35}, {9,25}, {15,41}, {2,32}, {6,33}, {15,53}, {16,32}, {4,57}, {6,24}, {14,55}, {13,50}, {6,44}, {9,56}, {5,46}, {8,53}, {1,60}, {8,22}, {1,45}, {15,34}, {6,56}, {19,31}, {3,50}, {10,46}, {20,43}, {18,33}, {13,36}, {15,36}, {18,31}, {17,52}, {12,26}, {16,22}, {10,58}, {13,30}, {12,57}, {10,55}, {14,59}, {13,60}, {12,59}, {6,51}, {17,28}, {20,29}, {5,54}, {16,45}, {7,59}, {9,57}, {19,60}, {13,24}, {17,25}, {12,53}, {5,59}, {8,23}, {14,34}, {11,55}, {10,32}, {1,39}, {18,25}, {20,60}, {6,54}, {5,51}, {17,41}, {7,29}, {9,30}, {10,39}, {19,49}, {15,21}, {13,26}, {11,26}, {14,45}, {4,40}, {10,35}, {11,27}, {20,52}, {14,32}, {6,25}, {9,36}, {20,47}, {6,34}, {5,27}, {14,43}, {8,55}, {8,49}, {3,42}, {15,28}, {6,52}, {10,56}, {3,38}, {11,45}, {8,46}, {15,23}, {1,41}, {1,48}, {7,24}, {3,31}, {15,39}, {18,40}, {13,59}, {17,26}, {12,31}, {3,47}, {19,35}, {13,39}, {6,53}, {7,37}, {9,31}, {2,60}, {9,59}, {1,34}, {5,37}, {11,42}, {3,36}, {4,39}, {18,35}, {7,40}, {7,42}, {4,44}, {19,37}, {5,52}, {19,27}, {12,21}, {15,58} }; // ETB60.131 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1920 EdgesBipt[60][130]:={ {6,48}, {16,41}, {17,50}, {10,24}, {2,24}, {13,32}, {2,33}, {11,36}, {13,40}, {18,48}, {15,24}, {18,29}, {2,56}, {3,40}, {17,47}, {12,56}, {16,27}, {14,51}, {16,40}, {12,22}, {2,51}, {12,32}, {7,38}, {8,42}, {16,57}, {19,44}, {15,49}, {4,29}, {20,27}, {10,23}, {7,44}, {8,52}, {9,49}, {10,33}, {3,58}, {5,47}, {11,58}, {18,54}, {14,31}, {7,34}, {15,47}, {19,48}, {12,35}, {7,36}, {14,50}, {15,43}, {17,21}, {10,44}, {8,25}, {2,41}, {9,53}, {13,47}, {1,30}, {9,35}, {20,30}, {17,46}, {18,34}, {19,21}, {15,60}, {14,54}, {10,30}, {6,29}, {15,29}, {5,40}, {11,38}, {9,48}, {1,50}, {4,22}, {20,55}, {10,38}, {13,58}, {9,26}, {1,44}, {4,41}, {2,38}, {11,49}, {2,37}, {10,52}, {16,54}, {14,30}, {17,51}, {7,39}, {17,58}, {2,39}, {7,32}, {3,56}, {15,26}, {19,53}, {4,45}, {2,59}, {11,59}, {4,47}, {6,43}, {4,33}, {5,23}, {6,49}, {3,51}, {9,42}, {2,57}, {4,59}, {14,53}, {18,55}, {4,52}, {16,37}, {12,43}, {17,43}, {7,30}, {3,32}, {4,35}, {15,53}, {6,50}, {1,23}, {13,44}, {14,55}, {9,56}, {9,37}, {17,49}, {5,46}, {8,53}, {12,25}, {11,60}, {8,22}, {19,58}, {13,25}, {6,56}, {8,56}, {13,28}, {18,26}, {19,31}, {1,28}, {18,27}, {3,50}, {14,37}, {20,22}, {4,54}, {10,46}, {16,48}, {10,60}, {18,31}, {12,26}, {1,52}, {7,31}, {12,33}, {10,43}, {8,57}, {12,27}, {11,52}, {5,54}, {1,42}, {12,23}, {14,22}, {19,60}, {13,24}, {6,27}, {8,58}, {5,59}, {20,49}, {3,23}, {8,23}, {11,55}, {18,25}, {5,36}, {11,46}, {16,44}, {19,45}, {5,51}, {1,53}, {17,41}, {20,46}, {6,41}, {6,28}, {18,60}, {1,35}, {13,42}, {16,21}, {20,37}, {5,60}, {14,45}, {5,33}, {20,26}, {2,29}, {18,28}, {10,27}, {20,34}, {4,34}, {15,51}, {8,24}, {19,39}, {19,43}, {13,41}, {20,42}, {1,47}, {6,38}, {20,24}, {2,40}, {9,36}, {14,57}, {16,42}, {3,55}, {8,55}, {19,25}, {5,26}, {16,46}, {10,57}, {15,28}, {9,39}, {6,52}, {4,25}, {17,45}, {3,38}, {11,45}, {11,48}, {3,28}, {7,45}, {3,31}, {15,39}, {18,40}, {7,33}, {12,31}, {13,34}, {11,34}, {7,35}, {13,39}, {17,22}, {16,50}, {19,57}, {5,21}, {15,30}, {7,37}, {1,54}, {9,59}, {6,35}, {17,32}, {9,21}, {3,36}, {20,32}, {8,59}, {12,21}, {1,36}, {14,29} }; // ETB60.132 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7608405715845120 EdgesBipt[60][131]:={ {11,53}, {3,60}, {10,25}, {11,36}, {17,36}, {12,29}, {17,56}, {13,21}, {11,56}, {18,48}, {4,24}, {16,26}, {3,22}, {3,40}, {17,38}, {1,56}, {16,27}, {14,51}, {5,55}, {8,43}, {9,45}, {16,47}, {8,54}, {16,57}, {15,49}, {18,38}, {9,55}, {18,50}, {8,33}, {10,26}, {9,44}, {13,57}, {12,39}, {7,22}, {4,31}, {2,27}, {15,48}, {14,31}, {14,50}, {18,21}, {3,52}, {13,47}, {2,28}, {18,41}, {5,32}, {9,35}, {8,44}, {17,46}, {8,27}, {18,58}, {12,50}, {15,25}, {15,45}, {15,29}, {19,33}, {11,33}, {1,38}, {14,60}, {5,22}, {4,22}, {20,55}, {3,49}, {19,40}, {13,58}, {1,55}, {14,21}, {16,24}, {19,30}, {4,41}, {2,38}, {8,47}, {12,49}, {2,37}, {16,54}, {14,30}, {14,40}, {19,22}, {7,39}, {4,42}, {9,41}, {5,25}, {17,58}, {7,32}, {17,39}, {19,53}, {7,49}, {7,43}, {10,59}, {6,43}, {4,21}, {10,29}, {9,54}, {9,34}, {2,57}, {2,48}, {4,52}, {16,37}, {12,43}, {3,39}, {13,31}, {7,53}, {18,30}, {3,32}, {19,52}, {11,57}, {9,25}, {6,33}, {19,42}, {11,23}, {6,24}, {20,44}, {14,47}, {6,44}, {6,46}, {15,35}, {17,49}, {8,53}, {1,45}, {1,58}, {17,48}, {6,56}, {13,28}, {20,45}, {1,28}, {14,41}, {3,50}, {14,37}, {20,22}, {9,51}, {4,54}, {10,46}, {10,45}, {3,29}, {6,23}, {8,37}, {18,31}, {5,42}, {12,33}, {5,41}, {10,55}, {12,59}, {8,57}, {17,28}, {7,59}, {12,23}, {19,60}, {5,31}, {6,26}, {12,40}, {12,53}, {12,30}, {8,23}, {17,59}, {17,29}, {20,25}, {1,25}, {1,46}, {11,46}, {16,44}, {6,54}, {5,51}, {7,29}, {13,27}, {10,39}, {18,60}, {1,35}, {16,34}, {16,56}, {20,35}, {19,32}, {11,26}, {10,35}, {7,23}, {16,36}, {6,36}, {3,30}, {8,34}, {11,37}, {4,51}, {11,27}, {18,28}, {20,52}, {20,34}, {1,26}, {4,34}, {10,36}, {13,51}, {13,48}, {8,24}, {19,43}, {2,47}, {10,49}, {13,41}, {20,42}, {20,24}, {2,40}, {18,51}, {14,57}, {6,34}, {11,47}, {15,38}, {2,58}, {16,46}, {3,42}, {15,28}, {13,38}, {10,56}, {13,37}, {15,59}, {19,50}, {5,45}, {1,48}, {15,39}, {9,24}, {18,40}, {17,26}, {7,33}, {11,43}, {5,21}, {2,30}, {3,59}, {6,53}, {20,54}, {5,35}, {9,31}, {2,60}, {7,52}, {19,23}, {15,55}, {9,21}, {7,42}, {4,44}, {20,32}, {14,27}, {5,52}, {4,32}, {1,36}, {2,50}, {15,58}, {12,60} }; // ETB60.133 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 128849018880 EdgesBipt[60][132]:={ {2,44}, {11,53}, {16,41}, {2,24}, {13,52}, {13,32}, {14,56}, {17,36}, {17,56}, {4,24}, {16,26}, {4,26}, {12,45}, {11,25}, {7,48}, {4,56}, {17,53}, {2,23}, {5,55}, {8,42}, {16,57}, {15,49}, {16,31}, {18,38}, {4,29}, {9,55}, {8,33}, {10,23}, {7,54}, {17,34}, {12,39}, {7,22}, {2,27}, {11,58}, {9,43}, {19,47}, {7,34}, {7,51}, {7,36}, {18,21}, {3,52}, {13,47}, {18,41}, {9,35}, {14,28}, {18,58}, {10,22}, {15,60}, {15,25}, {18,42}, {18,37}, {2,45}, {15,45}, {16,30}, {15,29}, {6,21}, {2,25}, {5,40}, {20,38}, {11,38}, {3,46}, {11,33}, {6,31}, {1,38}, {4,60}, {14,60}, {7,56}, {9,47}, {10,38}, {9,32}, {14,36}, {5,50}, {19,30}, {9,27}, {18,57}, {15,40}, {1,44}, {5,29}, {8,41}, {11,49}, {10,52}, {12,44}, {14,40}, {17,51}, {5,25}, {2,39}, {10,54}, {14,24}, {17,33}, {11,44}, {10,59}, {2,59}, {6,30}, {3,51}, {20,59}, {18,55}, {16,37}, {12,43}, {9,50}, {1,29}, {3,39}, {13,31}, {7,53}, {3,32}, {19,52}, {15,41}, {14,48}, {15,50}, {6,50}, {11,29}, {5,30}, {19,55}, {6,46}, {15,35}, {9,37}, {12,47}, {4,48}, {8,53}, {12,25}, {5,49}, {18,53}, {8,22}, {1,45}, {1,58}, {17,48}, {6,56}, {8,35}, {10,42}, {13,28}, {20,58}, {3,27}, {20,22}, {4,28}, {1,33}, {20,43}, {18,33}, {4,46}, {3,26}, {8,37}, {17,31}, {7,31}, {11,54}, {10,58}, {10,43}, {4,36}, {5,41}, {12,59}, {8,57}, {17,54}, {6,51}, {17,28}, {12,27}, {16,51}, {8,21}, {1,24}, {12,23}, {9,57}, {8,58}, {11,24}, {1,49}, {6,26}, {20,23}, {12,40}, {20,39}, {10,32}, {14,49}, {1,25}, {1,53}, {6,41}, {9,30}, {10,39}, {13,27}, {13,46}, {15,21}, {16,21}, {16,56}, {7,28}, {19,32}, {5,60}, {13,26}, {4,40}, {16,36}, {6,36}, {20,52}, {8,38}, {20,34}, {14,44}, {3,48}, {10,34}, {13,51}, {18,22}, {13,48}, {19,43}, {2,47}, {20,42}, {4,49}, {2,40}, {8,55}, {16,46}, {9,52}, {11,45}, {12,24}, {3,28}, {19,50}, {5,45}, {3,31}, {13,59}, {14,46}, {7,33}, {6,37}, {11,34}, {3,47}, {17,42}, {19,35}, {13,39}, {17,22}, {16,50}, {19,57}, {5,21}, {3,59}, {20,54}, {15,30}, {5,35}, {1,54}, {1,34}, {2,60}, {19,23}, {2,43}, {15,55}, {18,35}, {7,42}, {9,23}, {4,44}, {19,37}, {20,32}, {19,27}, {6,57}, {14,29}, {14,26}, {12,60} }; // ETB60.134 // Bipartite(20,40) Valencies [12,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7791007453025402880 EdgesBipt[60][133]:={ {15,52}, {3,33}, {3,60}, {16,41}, {6,32}, {17,35}, {11,36}, {2,46}, {11,35}, {11,56}, {13,40}, {2,56}, {3,40}, {17,38}, {1,56}, {4,50}, {11,25}, {4,30}, {12,56}, {16,40}, {7,48}, {14,39}, {5,55}, {7,55}, {7,38}, {8,54}, {19,44}, {15,49}, {16,31}, {4,29}, {3,43}, {10,23}, {12,38}, {19,24}, {7,41}, {10,26}, {9,44}, {13,57}, {14,38}, {10,33}, {2,27}, {13,53}, {18,54}, {9,43}, {3,37}, {2,26}, {7,51}, {16,60}, {14,50}, {17,21}, {18,21}, {12,58}, {3,57}, {9,53}, {13,47}, {2,28}, {18,41}, {5,32}, {14,28}, {8,44}, {8,31}, {8,27}, {12,37}, {18,34}, {10,53}, {6,22}, {15,25}, {18,37}, {7,58}, {15,45}, {16,30}, {4,38}, {15,29}, {19,33}, {6,21}, {6,40}, {6,31}, {4,60}, {2,36}, {14,60}, {5,22}, {19,54}, {1,55}, {9,32}, {15,32}, {18,57}, {12,36}, {1,44}, {5,29}, {8,41}, {2,38}, {8,47}, {12,46}, {2,37}, {14,30}, {14,40}, {17,51}, {19,22}, {5,25}, {17,58}, {16,52}, {19,53}, {7,25}, {11,44}, {10,59}, {20,33}, {6,30}, {9,54}, {10,29}, {6,60}, {9,34}, {15,42}, {17,55}, {9,42}, {20,59}, {2,57}, {4,59}, {2,48}, {19,52}, {13,33}, {14,48}, {18,44}, {19,42}, {16,32}, {6,50}, {13,43}, {13,50}, {15,35}, {12,47}, {4,48}, {13,23}, {12,28}, {5,49}, {1,45}, {17,48}, {18,24}, {14,58}, {18,27}, {3,50}, {3,27}, {18,47}, {10,46}, {4,28}, {20,43}, {8,37}, {17,31}, {18,31}, {5,42}, {12,26}, {16,22}, {9,22}, {7,31}, {11,54}, {13,30}, {12,57}, {10,43}, {14,59}, {13,60}, {8,57}, {6,51}, {17,28}, {20,29}, {12,27}, {16,51}, {8,21}, {1,24}, {11,24}, {17,25}, {20,23}, {5,59}, {20,39}, {20,49}, {3,23}, {11,55}, {14,49}, {1,25}, {1,46}, {11,46}, {4,58}, {17,41}, {20,46}, {6,41}, {13,27}, {10,39}, {1,35}, {5,39}, {16,21}, {7,28}, {19,32}, {11,26}, {6,42}, {3,53}, {4,40}, {3,30}, {8,34}, {20,26}, {1,26}, {10,36}, {15,22}, {8,24}, {19,43}, {2,47}, {10,49}, {4,49}, {18,51}, {9,33}, {16,42}, {20,36}, {2,58}, {6,52}, {12,48}, {10,56}, {17,45}, {9,52}, {11,45}, {7,45}, {20,53}, {13,37}, {15,59}, {5,45}, {15,39}, {9,24}, {8,51}, {11,34}, {3,47}, {20,56}, {7,35}, {16,50}, {19,34}, {5,35}, {1,54}, {1,34}, {19,23}, {15,55}, {4,39}, {9,23}, {7,21}, {5,52}, {1,36}, {14,29} }; // ETB60.135 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 251658240 EdgesBipt[60][134]:={ {2,44}, {3,60}, {16,41}, {17,50}, {10,24}, {2,24}, {9,28}, {2,33}, {17,44}, {17,36}, {2,46}, {17,56}, {18,48}, {16,33}, {18,29}, {4,26}, {3,22}, {2,56}, {3,40}, {10,37}, {1,56}, {8,30}, {14,51}, {18,46}, {4,56}, {17,53}, {5,55}, {8,43}, {9,45}, {5,38}, {12,32}, {19,44}, {15,49}, {3,45}, {20,57}, {3,25}, {12,38}, {19,24}, {7,41}, {1,40}, {7,54}, {13,57}, {8,52}, {12,41}, {3,35}, {12,55}, {5,47}, {16,59}, {11,58}, {18,54}, {13,35}, {19,47}, {2,26}, {14,31}, {18,56}, {8,39}, {7,34}, {11,41}, {15,47}, {17,24}, {12,35}, {15,54}, {15,43}, {10,44}, {8,25}, {12,58}, {2,41}, {18,34}, {10,22}, {13,55}, {15,60}, {6,22}, {14,54}, {18,37}, {16,30}, {15,29}, {19,33}, {11,38}, {10,48}, {6,31}, {2,36}, {9,48}, {14,60}, {19,40}, {5,50}, {16,53}, {18,57}, {15,40}, {1,44}, {4,41}, {2,38}, {11,49}, {7,46}, {8,45}, {14,40}, {5,25}, {7,32}, {17,39}, {1,31}, {16,52}, {19,53}, {7,49}, {2,53}, {7,43}, {10,28}, {5,58}, {17,33}, {15,27}, {1,51}, {19,38}, {6,30}, {18,49}, {4,21}, {10,31}, {13,22}, {3,51}, {9,42}, {20,59}, {4,59}, {4,52}, {12,43}, {9,50}, {16,58}, {1,29}, {11,21}, {9,25}, {7,26}, {6,33}, {16,32}, {6,50}, {13,43}, {11,29}, {6,24}, {5,30}, {6,44}, {17,30}, {15,35}, {9,37}, {12,47}, {4,48}, {13,23}, {1,60}, {11,60}, {14,42}, {15,34}, {19,58}, {17,48}, {13,25}, {13,54}, {20,28}, {8,35}, {10,42}, {18,26}, {19,31}, {3,27}, {14,37}, {18,36}, {4,28}, {20,43}, {4,46}, {16,38}, {10,51}, {9,22}, {4,36}, {6,51}, {17,28}, {12,27}, {8,32}, {1,24}, {12,23}, {9,57}, {14,22}, {19,60}, {1,49}, {20,23}, {20,39}, {8,23}, {14,34}, {14,49}, {17,59}, {19,51}, {1,46}, {11,46}, {7,29}, {9,30}, {20,48}, {13,42}, {16,21}, {20,37}, {11,26}, {6,42}, {7,23}, {2,21}, {5,33}, {11,27}, {18,28}, {20,52}, {6,45}, {20,34}, {1,26}, {10,36}, {8,50}, {6,25}, {11,40}, {12,52}, {14,57}, {3,55}, {11,47}, {5,27}, {8,55}, {2,58}, {10,57}, {3,42}, {16,39}, {9,39}, {10,56}, {15,23}, {13,37}, {5,45}, {3,31}, {13,34}, {3,47}, {16,50}, {6,53}, {20,54}, {13,45}, {5,35}, {9,59}, {7,52}, {15,55}, {4,39}, {20,32}, {8,59}, {7,21}, {4,32}, {19,27}, {12,21}, {5,53}, {1,36}, {14,29} }; // ETB60.136 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 251658240 EdgesBipt[60][135]:={ {15,52}, {9,58}, {3,33}, {3,60}, {16,41}, {17,50}, {10,25}, {2,33}, {18,39}, {2,46}, {4,26}, {3,40}, {17,38}, {10,37}, {18,32}, {1,56}, {4,50}, {4,30}, {12,56}, {8,30}, {17,53}, {2,23}, {12,32}, {7,55}, {16,57}, {19,44}, {9,55}, {1,32}, {1,27}, {19,24}, {10,26}, {17,34}, {13,57}, {14,38}, {3,35}, {20,21}, {15,48}, {2,26}, {18,56}, {11,41}, {19,48}, {7,51}, {15,43}, {3,52}, {17,40}, {9,35}, {8,44}, {2,54}, {11,50}, {6,22}, {15,25}, {18,42}, {14,54}, {13,56}, {15,45}, {16,30}, {19,28}, {6,47}, {6,21}, {10,48}, {6,31}, {2,34}, {14,33}, {14,60}, {9,47}, {4,22}, {20,55}, {19,40}, {6,58}, {15,32}, {16,24}, {9,27}, {12,36}, {1,44}, {4,41}, {5,29}, {5,43}, {12,44}, {19,29}, {14,40}, {7,39}, {4,42}, {9,41}, {5,25}, {17,58}, {7,32}, {1,31}, {8,60}, {2,53}, {7,43}, {10,28}, {7,25}, {20,31}, {17,33}, {1,22}, {1,51}, {11,59}, {5,23}, {10,29}, {9,54}, {4,21}, {9,34}, {13,22}, {20,59}, {4,59}, {14,53}, {16,37}, {16,58}, {3,32}, {11,21}, {15,53}, {4,57}, {11,23}, {6,24}, {14,55}, {14,47}, {6,44}, {17,30}, {11,30}, {15,35}, {12,47}, {17,49}, {5,46}, {12,28}, {5,49}, {5,48}, {13,25}, {14,58}, {3,27}, {9,51}, {20,51}, {10,46}, {18,36}, {10,45}, {20,43}, {4,46}, {16,38}, {8,37}, {5,28}, {13,36}, {18,31}, {1,52}, {16,22}, {7,31}, {11,54}, {18,52}, {8,57}, {17,54}, {6,51}, {12,27}, {1,42}, {7,59}, {1,24}, {19,60}, {8,58}, {6,27}, {18,59}, {11,39}, {8,40}, {20,23}, {12,40}, {20,39}, {14,34}, {18,25}, {17,29}, {11,46}, {16,44}, {19,36}, {19,56}, {6,41}, {13,46}, {13,42}, {19,49}, {16,21}, {20,35}, {4,37}, {6,42}, {11,26}, {13,26}, {3,53}, {17,60}, {7,23}, {5,33}, {2,29}, {8,38}, {20,34}, {10,36}, {3,48}, {8,50}, {18,22}, {15,33}, {8,24}, {10,49}, {1,47}, {6,38}, {18,51}, {12,52}, {16,42}, {3,55}, {8,49}, {5,26}, {18,45}, {10,57}, {15,28}, {12,48}, {10,56}, {9,38}, {12,24}, {3,28}, {20,41}, {7,45}, {14,35}, {15,23}, {13,37}, {5,45}, {13,59}, {11,34}, {3,47}, {7,35}, {13,39}, {16,50}, {11,43}, {19,57}, {2,30}, {20,54}, {13,45}, {9,31}, {7,52}, {2,43}, {15,55}, {9,21}, {4,39}, {19,37}, {14,27}, {8,29}, {1,36}, {5,53}, {2,50}, {2,49}, {12,60} }; // ETB60.137 // Bipartite(20,40) Valencies [12,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 251658240 EdgesBipt[60][136]:={ {8,48}, {11,53}, {9,58}, {10,24}, {6,32}, {17,35}, {11,36}, {2,46}, {11,56}, {13,40}, {4,24}, {9,60}, {16,26}, {18,29}, {12,51}, {15,46}, {17,47}, {16,27}, {14,51}, {7,48}, {17,53}, {5,55}, {12,32}, {16,47}, {8,28}, {4,29}, {18,50}, {1,32}, {10,23}, {12,38}, {17,34}, {5,56}, {13,57}, {12,39}, {4,31}, {9,49}, {2,27}, {3,58}, {5,47}, {3,37}, {20,21}, {15,48}, {2,26}, {14,31}, {8,39}, {11,41}, {1,21}, {15,54}, {14,50}, {18,21}, {10,44}, {12,58}, {3,57}, {1,30}, {18,41}, {4,23}, {17,46}, {8,27}, {12,50}, {10,22}, {19,21}, {15,25}, {18,42}, {6,29}, {2,45}, {15,45}, {19,33}, {2,25}, {14,23}, {15,56}, {11,33}, {6,31}, {6,40}, {1,50}, {19,54}, {20,55}, {3,49}, {7,57}, {9,29}, {13,58}, {9,32}, {1,44}, {4,41}, {2,38}, {8,47}, {2,37}, {16,54}, {14,30}, {19,22}, {7,39}, {5,25}, {2,39}, {10,54}, {15,26}, {8,60}, {19,53}, {11,22}, {7,25}, {14,24}, {17,33}, {11,44}, {1,22}, {2,59}, {20,33}, {18,49}, {4,21}, {6,60}, {6,49}, {3,51}, {17,55}, {2,57}, {4,52}, {9,50}, {1,29}, {3,39}, {18,30}, {11,21}, {19,42}, {15,53}, {18,43}, {20,44}, {19,41}, {19,55}, {9,37}, {17,27}, {14,42}, {15,34}, {5,48}, {13,25}, {13,28}, {10,42}, {3,50}, {4,43}, {20,43}, {3,29}, {16,48}, {5,28}, {15,36}, {8,26}, {18,31}, {1,52}, {11,54}, {10,43}, {10,55}, {13,60}, {12,59}, {17,54}, {6,51}, {7,47}, {9,40}, {1,42}, {7,59}, {1,24}, {9,57}, {14,22}, {8,58}, {11,24}, {17,25}, {1,49}, {8,40}, {20,23}, {12,40}, {12,30}, {5,36}, {7,60}, {18,23}, {9,30}, {13,46}, {16,34}, {16,56}, {20,35}, {7,28}, {13,26}, {10,35}, {16,36}, {3,30}, {5,33}, {4,51}, {16,35}, {8,38}, {14,44}, {10,36}, {10,34}, {18,22}, {13,48}, {14,32}, {15,33}, {19,43}, {2,47}, {20,24}, {4,49}, {14,52}, {18,51}, {12,52}, {20,36}, {5,27}, {14,43}, {2,58}, {16,46}, {15,28}, {6,52}, {13,38}, {9,38}, {10,56}, {17,45}, {3,38}, {9,52}, {7,27}, {20,41}, {7,45}, {8,46}, {20,53}, {1,41}, {13,37}, {5,45}, {3,31}, {6,59}, {17,26}, {6,39}, {12,31}, {6,37}, {11,34}, {19,35}, {20,56}, {3,59}, {13,45}, {19,34}, {7,37}, {5,35}, {19,23}, {11,42}, {16,28}, {7,40}, {4,44}, {8,59}, {4,32}, {6,57}, {5,53}, {16,55}, {12,60} }; // ETB60.138 // Bipartite(20,40) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 251658240 EdgesBipt[60][137]:={ {17,57}, {15,52}, {9,58}, {13,52}, {13,32}, {9,28}, {6,32}, {17,35}, {17,44}, {18,39}, {2,46}, {5,34}, {4,26}, {4,53}, {1,56}, {4,50}, {4,30}, {12,56}, {16,40}, {7,48}, {5,38}, {12,32}, {19,44}, {16,31}, {9,55}, {20,27}, {3,43}, {19,24}, {20,40}, {7,54}, {10,26}, {17,34}, {9,44}, {13,57}, {12,39}, {4,31}, {10,33}, {3,35}, {11,58}, {15,48}, {2,26}, {7,34}, {1,21}, {17,24}, {19,48}, {16,25}, {16,60}, {7,36}, {14,50}, {2,41}, {13,47}, {2,28}, {5,32}, {16,23}, {9,35}, {20,30}, {4,23}, {17,46}, {8,31}, {8,27}, {12,50}, {16,29}, {10,53}, {15,25}, {16,43}, {18,37}, {6,29}, {13,56}, {15,45}, {19,28}, {19,33}, {6,21}, {3,34}, {5,40}, {20,38}, {11,38}, {20,50}, {1,38}, {14,33}, {9,48}, {14,60}, {7,56}, {4,22}, {10,38}, {7,57}, {19,40}, {10,47}, {17,37}, {14,21}, {15,32}, {18,57}, {12,36}, {8,41}, {12,46}, {8,47}, {11,49}, {2,37}, {5,43}, {12,44}, {19,29}, {11,51}, {14,30}, {14,40}, {4,42}, {9,41}, {2,39}, {8,60}, {19,53}, {11,22}, {7,25}, {11,31}, {5,58}, {2,59}, {11,59}, {4,33}, {5,23}, {10,29}, {13,22}, {6,49}, {15,42}, {17,55}, {2,57}, {14,53}, {2,48}, {7,30}, {7,50}, {3,39}, {8,36}, {18,44}, {1,23}, {13,43}, {11,29}, {6,24}, {6,44}, {15,35}, {13,23}, {18,53}, {1,45}, {1,58}, {5,48}, {8,56}, {18,24}, {20,45}, {20,58}, {18,27}, {14,41}, {3,50}, {3,27}, {14,37}, {18,47}, {20,22}, {9,51}, {10,46}, {4,43}, {1,33}, {18,33}, {1,43}, {4,46}, {5,28}, {13,36}, {8,26}, {16,49}, {18,31}, {12,26}, {11,54}, {10,58}, {10,55}, {12,59}, {17,54}, {16,51}, {5,54}, {16,45}, {8,21}, {19,60}, {18,59}, {11,39}, {8,40}, {12,30}, {3,23}, {20,25}, {1,25}, {20,60}, {6,54}, {1,53}, {19,36}, {19,56}, {6,41}, {13,27}, {13,42}, {19,49}, {7,28}, {5,60}, {10,35}, {2,21}, {3,30}, {4,51}, {2,29}, {16,35}, {10,27}, {6,45}, {15,22}, {14,32}, {6,25}, {10,49}, {20,42}, {14,52}, {18,51}, {12,52}, {14,57}, {20,47}, {6,34}, {3,55}, {15,28}, {6,52}, {9,38}, {12,24}, {7,45}, {8,46}, {1,41}, {13,37}, {15,59}, {3,54}, {15,39}, {9,24}, {8,51}, {17,26}, {11,34}, {3,47}, {17,42}, {17,22}, {3,59}, {7,37}, {9,31}, {15,55}, {11,42}, {9,21}, {5,52}, {1,36}, {16,55}, {2,49} }; // ETB60.139 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][138]:={ {6,52}, {7,48}, {6,38}, {10,37}, {15,38}, {14,36}, {6,25}, {19,26}, {5,59}, {19,57}, {5,45}, {2,60}, {8,26}, {22,40}, {1,49}, {13,37}, {17,42}, {13,39}, {2,35}, {8,40}, {16,58}, {3,35}, {11,57}, {14,31}, {24,54}, {11,53}, {17,56}, {20,37}, {5,32}, {13,43}, {24,48}, {14,57}, {24,28}, {14,44}, {10,56}, {10,42}, {6,29}, {19,31}, {4,43}, {16,42}, {1,52}, {4,30}, {7,59}, {16,49}, {8,30}, {12,46}, {9,33}, {20,43}, {7,45}, {8,46}, {8,52}, {12,38}, {23,31}, {13,30}, {17,59}, {6,49}, {20,29}, {12,40}, {17,26}, {5,60}, {24,30}, {2,48}, {22,25}, {20,39}, {5,37}, {13,55}, {18,35}, {20,35}, {19,42}, {16,34}, {2,56}, {23,58}, {7,56}, {10,35}, {8,38}, {9,47}, {12,52}, {4,49}, {5,50}, {17,36}, {1,38}, {1,26}, {14,32}, {8,49}, {10,51}, {18,29}, {9,36}, {6,34}, {9,29}, {9,39}, {11,51}, {22,43}, {16,59}, {19,46}, {15,28}, {5,28}, {24,41}, {20,41}, {9,46}, {19,56}, {7,60}, {3,31}, {19,47}, {12,27}, {18,55}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {15,50}, {1,30}, {21,45}, {12,47}, {6,36}, {1,55}, {18,51}, {1,47}, {10,57}, {22,48}, {21,47}, {14,33}, {2,51}, {20,51}, {15,37}, {13,25}, {17,58}, {11,48}, {8,41}, {24,55}, {9,26}, {18,38}, {3,59}, {11,58}, {17,31}, {1,41}, {21,57}, {12,41}, {20,54}, {11,44}, {4,47}, {3,44}, {24,39}, {7,35}, {19,45}, {15,60}, {4,33}, {10,31}, {10,44}, {7,58}, {24,25}, {17,46}, {15,53}, {1,25}, {22,50}, {13,50}, {23,56}, {20,30}, {9,30}, {24,38}, {3,32}, {14,27}, {13,29}, {8,34}, {21,58}, {23,47}, {11,32}, {22,53}, {17,52}, {21,32}, {12,25}, {11,54}, {15,40}, {3,42}, {23,27}, {24,35}, {10,54}, {19,44}, {9,41}, {16,45}, {23,59}, {4,36}, {22,41}, {4,29}, {6,43}, {22,39}, {24,51}, {19,34}, {3,60}, {16,44}, {2,54}, {24,60}, {12,43}, {18,41}, {11,56}, {14,47}, {18,30}, {2,28}, {8,29}, {23,57}, {21,52}, {22,38}, {8,36}, {21,46}, {23,52}, {4,55}, {16,36}, {14,26}, {20,50}, {10,50}, {23,32}, {3,50}, {19,33}, {4,27}, {15,29}, {14,59}, {2,31}, {11,45}, {21,33}, {5,58}, {3,54}, {20,53}, {16,27}, {4,25}, {3,28}, {21,34}, {7,31}, {12,33}, {12,39}, {2,57}, {17,34}, {3,57}, {15,55}, {7,51}, {14,49}, {21,44}, {15,48}, {22,51}, {13,35}, {21,27}, {7,42}, {23,49}, {10,53}, {12,34}, {19,36}, {23,46}, {18,53}, {13,54}, {11,28}, {8,55}, {14,42}, {16,33}, {13,60}, {10,45}, {21,56}, {17,45}, {4,26}, {13,28}, {16,52}, {5,42}, {2,59}, {6,55}, {18,40}, {9,40}, {20,40}, {18,60}, {1,27}, {22,54}, {5,44}, {9,43}, {1,46}, {3,37}, {9,34}, {15,43}, {4,39}, {11,50}, {23,26}, {22,28}, {16,32}, {6,33}, {2,32}, {18,48}, {17,49}, {5,48}, {15,25}, {2,58}, {18,37}, {6,40} }; // ETB60.140 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][139]:={ {18,45}, {6,38}, {11,40}, {11,49}, {6,59}, {23,29}, {3,58}, {11,59}, {19,57}, {8,51}, {2,60}, {3,26}, {1,49}, {13,37}, {14,38}, {15,54}, {14,50}, {2,35}, {8,40}, {16,58}, {20,46}, {14,31}, {24,36}, {21,54}, {6,48}, {19,37}, {3,39}, {16,37}, {4,51}, {7,30}, {4,37}, {13,43}, {24,48}, {13,27}, {14,57}, {6,32}, {4,38}, {21,40}, {4,43}, {2,52}, {12,46}, {13,59}, {6,60}, {8,52}, {16,60}, {7,41}, {20,49}, {12,42}, {11,39}, {22,42}, {7,33}, {20,29}, {24,30}, {2,48}, {15,30}, {18,58}, {19,52}, {5,37}, {13,55}, {18,35}, {9,56}, {24,31}, {24,45}, {20,35}, {9,35}, {1,29}, {12,37}, {2,56}, {6,46}, {24,26}, {8,38}, {20,55}, {13,26}, {17,47}, {9,47}, {5,50}, {18,46}, {1,26}, {14,32}, {2,36}, {8,49}, {16,40}, {20,42}, {22,34}, {9,36}, {6,34}, {9,39}, {18,36}, {5,54}, {18,33}, {23,60}, {10,59}, {5,27}, {16,59}, {15,28}, {5,28}, {20,41}, {2,39}, {14,35}, {7,60}, {19,38}, {3,31}, {7,53}, {9,58}, {14,34}, {8,48}, {4,32}, {22,49}, {1,30}, {21,45}, {12,47}, {23,40}, {18,51}, {22,48}, {10,57}, {10,38}, {15,34}, {10,46}, {13,25}, {14,39}, {11,48}, {10,55}, {18,38}, {21,37}, {8,45}, {7,46}, {3,59}, {1,41}, {1,51}, {9,54}, {18,54}, {20,54}, {11,44}, {24,39}, {3,25}, {17,55}, {11,34}, {17,28}, {19,45}, {22,30}, {2,43}, {12,30}, {22,44}, {4,57}, {10,29}, {7,58}, {24,25}, {13,56}, {1,25}, {22,50}, {23,56}, {23,35}, {7,28}, {17,44}, {13,29}, {15,46}, {17,30}, {20,47}, {23,47}, {10,25}, {12,29}, {1,57}, {6,31}, {22,53}, {17,52}, {9,52}, {11,54}, {22,57}, {23,27}, {21,59}, {19,53}, {19,44}, {18,31}, {24,43}, {3,41}, {4,29}, {9,44}, {6,43}, {22,39}, {24,51}, {17,25}, {3,60}, {16,44}, {12,43}, {18,41}, {11,56}, {14,58}, {8,27}, {21,46}, {4,55}, {1,45}, {23,32}, {14,51}, {19,59}, {3,50}, {19,39}, {9,28}, {3,34}, {16,53}, {4,27}, {3,56}, {2,31}, {16,38}, {11,45}, {20,28}, {21,33}, {1,33}, {5,58}, {12,36}, {16,27}, {19,25}, {5,26}, {7,47}, {24,57}, {4,42}, {16,50}, {12,53}, {10,41}, {3,28}, {7,31}, {12,33}, {15,55}, {15,48}, {5,51}, {24,52}, {17,60}, {7,25}, {15,42}, {21,43}, {23,49}, {10,53}, {21,29}, {8,44}, {19,36}, {19,58}, {4,35}, {15,51}, {20,34}, {1,50}, {23,33}, {2,47}, {8,55}, {14,42}, {10,34}, {16,33}, {17,53}, {13,60}, {17,27}, {10,45}, {8,35}, {2,40}, {8,54}, {21,56}, {14,41}, {12,57}, {13,28}, {20,56}, {5,42}, {23,50}, {12,32}, {21,36}, {15,31}, {6,55}, {6,53}, {18,40}, {1,27}, {5,44}, {15,26}, {4,52}, {22,47}, {22,32}, {9,42}, {23,41}, {15,43}, {7,36}, {11,50}, {13,52}, {21,26}, {16,32}, {2,32}, {17,49}, {11,26}, {17,48}, {5,33}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB60.141 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][140]:={ {24,34}, {18,45}, {6,52}, {6,38}, {11,40}, {16,47}, {15,38}, {15,59}, {14,36}, {11,49}, {5,56}, {16,51}, {5,43}, {5,45}, {2,60}, {13,39}, {11,43}, {4,31}, {10,33}, {21,30}, {21,41}, {24,36}, {2,49}, {17,56}, {10,39}, {3,39}, {15,56}, {20,37}, {20,58}, {21,28}, {1,35}, {7,30}, {8,31}, {24,48}, {6,58}, {14,57}, {13,27}, {14,29}, {24,28}, {4,38}, {15,57}, {6,29}, {24,58}, {20,26}, {22,55}, {12,48}, {1,52}, {23,45}, {12,46}, {20,43}, {7,45}, {8,37}, {8,52}, {21,38}, {16,60}, {23,31}, {12,26}, {17,59}, {23,54}, {7,27}, {4,58}, {12,42}, {11,39}, {22,42}, {7,33}, {20,29}, {17,26}, {13,47}, {15,30}, {24,50}, {21,50}, {13,55}, {18,35}, {16,25}, {19,42}, {23,42}, {12,37}, {2,56}, {6,46}, {18,39}, {6,44}, {8,38}, {12,52}, {5,34}, {18,47}, {18,46}, {1,26}, {2,36}, {20,36}, {9,29}, {11,51}, {8,42}, {5,27}, {19,46}, {3,43}, {15,28}, {24,41}, {20,41}, {9,46}, {9,59}, {24,40}, {1,42}, {7,60}, {3,51}, {17,57}, {3,36}, {19,49}, {17,29}, {22,49}, {19,27}, {14,28}, {23,39}, {1,55}, {18,51}, {4,53}, {10,57}, {2,51}, {15,37}, {15,34}, {11,33}, {13,25}, {8,41}, {9,38}, {21,37}, {1,41}, {1,59}, {9,54}, {12,41}, {8,59}, {2,27}, {7,50}, {22,44}, {7,34}, {9,31}, {18,25}, {15,52}, {1,25}, {22,31}, {23,35}, {20,30}, {5,39}, {24,38}, {19,55}, {3,32}, {22,45}, {14,52}, {9,25}, {10,30}, {5,40}, {21,58}, {23,47}, {17,38}, {12,29}, {6,31}, {11,32}, {22,53}, {17,52}, {15,40}, {14,43}, {14,37}, {23,27}, {19,53}, {19,44}, {18,31}, {14,40}, {1,48}, {7,49}, {24,43}, {9,41}, {16,31}, {16,45}, {20,59}, {4,29}, {9,44}, {1,54}, {4,59}, {24,29}, {6,37}, {10,28}, {3,60}, {16,44}, {7,40}, {17,41}, {17,50}, {11,56}, {2,28}, {13,44}, {14,58}, {4,55}, {13,32}, {20,50}, {10,50}, {23,32}, {11,30}, {19,33}, {19,39}, {3,34}, {16,53}, {20,57}, {11,47}, {14,59}, {4,46}, {19,60}, {3,56}, {8,58}, {3,45}, {12,44}, {19,25}, {7,47}, {12,53}, {4,25}, {23,55}, {14,30}, {21,34}, {3,28}, {5,47}, {2,57}, {17,34}, {3,57}, {18,49}, {22,33}, {15,48}, {1,53}, {5,51}, {24,52}, {6,26}, {22,27}, {22,51}, {13,35}, {2,50}, {23,49}, {17,40}, {8,44}, {21,48}, {13,33}, {23,46}, {18,53}, {13,54}, {10,60}, {11,28}, {2,47}, {16,35}, {8,55}, {10,34}, {16,33}, {13,60}, {8,35}, {10,45}, {2,40}, {21,56}, {4,26}, {16,54}, {20,56}, {3,27}, {10,43}, {21,36}, {6,55}, {6,53}, {19,51}, {18,60}, {22,54}, {12,54}, {15,26}, {22,32}, {9,42}, {5,36}, {10,32}, {13,46}, {12,35}, {7,36}, {6,35}, {11,50}, {17,43}, {21,26}, {14,48}, {1,58}, {8,25}, {18,42}, {16,32}, {4,48}, {7,57}, {2,32}, {9,48}, {5,33}, {5,30}, {4,54}, {10,49}, {9,37} }; // ETB60.142 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][141]:={ {15,33}, {6,38}, {10,37}, {15,38}, {14,36}, {23,29}, {5,56}, {16,51}, {19,26}, {11,25}, {2,55}, {19,57}, {5,45}, {3,26}, {22,40}, {1,49}, {1,40}, {14,38}, {17,42}, {11,43}, {14,50}, {2,35}, {17,33}, {8,40}, {16,58}, {3,35}, {20,46}, {21,30}, {14,31}, {15,27}, {16,55}, {24,54}, {21,54}, {17,56}, {16,37}, {4,51}, {15,41}, {8,31}, {20,52}, {4,40}, {4,37}, {24,48}, {13,40}, {3,49}, {11,29}, {10,42}, {6,29}, {11,27}, {24,58}, {19,40}, {19,31}, {22,37}, {16,48}, {1,52}, {15,32}, {4,30}, {7,59}, {16,49}, {8,30}, {12,46}, {9,33}, {8,37}, {9,57}, {8,52}, {21,38}, {12,38}, {20,49}, {23,36}, {7,33}, {20,29}, {23,28}, {13,47}, {2,48}, {15,30}, {22,25}, {24,47}, {13,55}, {13,42}, {20,35}, {1,36}, {19,42}, {16,34}, {18,39}, {13,58}, {1,26}, {13,41}, {22,34}, {24,37}, {6,34}, {9,39}, {18,26}, {18,36}, {6,51}, {18,59}, {3,43}, {15,28}, {9,46}, {9,59}, {24,40}, {14,35}, {3,47}, {1,42}, {22,59}, {19,38}, {19,47}, {6,27}, {17,57}, {17,29}, {11,60}, {14,54}, {20,25}, {4,32}, {8,50}, {4,53}, {22,26}, {2,51}, {20,51}, {10,38}, {8,60}, {17,51}, {17,58}, {14,39}, {21,31}, {11,48}, {4,41}, {8,41}, {24,55}, {8,45}, {3,29}, {21,57}, {3,44}, {13,45}, {24,39}, {17,55}, {7,35}, {16,56}, {5,52}, {2,27}, {6,30}, {22,44}, {7,34}, {9,31}, {10,29}, {7,58}, {18,25}, {17,46}, {15,53}, {1,25}, {23,35}, {5,39}, {18,44}, {14,27}, {22,45}, {19,41}, {13,29}, {14,52}, {17,30}, {10,30}, {5,40}, {4,50}, {21,60}, {10,25}, {22,53}, {14,43}, {3,42}, {23,27}, {10,54}, {19,53}, {7,49}, {24,43}, {9,41}, {16,45}, {20,59}, {23,59}, {1,32}, {9,44}, {1,54}, {6,43}, {6,37}, {5,31}, {16,44}, {24,60}, {2,41}, {17,41}, {1,60}, {11,56}, {2,28}, {21,52}, {8,27}, {23,52}, {5,46}, {6,47}, {3,48}, {3,33}, {13,32}, {20,50}, {23,32}, {19,39}, {9,28}, {19,43}, {4,46}, {19,60}, {3,56}, {11,45}, {18,27}, {21,33}, {5,58}, {12,36}, {2,53}, {5,26}, {7,47}, {24,57}, {16,50}, {12,53}, {3,28}, {12,39}, {12,58}, {2,57}, {21,35}, {18,49}, {14,49}, {11,31}, {13,34}, {17,60}, {9,50}, {15,42}, {7,42}, {2,50}, {24,44}, {12,34}, {23,30}, {21,48}, {21,51}, {18,43}, {23,46}, {18,53}, {1,56}, {20,34}, {20,45}, {10,60}, {23,33}, {11,28}, {2,47}, {8,55}, {10,34}, {21,56}, {9,45}, {12,59}, {18,50}, {12,57}, {16,54}, {13,28}, {20,56}, {23,25}, {7,38}, {2,59}, {12,32}, {15,36}, {10,43}, {15,31}, {6,55}, {6,53}, {7,44}, {11,55}, {5,44}, {12,54}, {15,26}, {4,52}, {22,47}, {22,32}, {5,36}, {10,32}, {13,46}, {4,39}, {7,36}, {6,35}, {14,48}, {22,28}, {1,58}, {8,25}, {7,57}, {12,51}, {11,26}, {9,48}, {18,37}, {5,33}, {4,54}, {10,49} }; // ETB60.143 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 18432 EdgesBipt[60][142]:={ {24,34}, {15,33}, {6,52}, {18,45}, {7,48}, {15,38}, {11,49}, {6,25}, {19,26}, {4,28}, {2,55}, {5,59}, {19,57}, {13,39}, {15,54}, {14,50}, {5,57}, {20,46}, {15,27}, {16,55}, {24,32}, {17,56}, {3,39}, {20,37}, {20,58}, {15,41}, {8,31}, {13,43}, {6,56}, {13,27}, {14,44}, {17,35}, {19,40}, {2,34}, {22,37}, {12,28}, {21,40}, {16,48}, {2,52}, {16,49}, {7,59}, {23,38}, {9,33}, {8,37}, {21,38}, {17,59}, {11,39}, {20,29}, {12,40}, {17,26}, {5,60}, {24,30}, {18,58}, {16,25}, {24,45}, {9,35}, {23,42}, {13,51}, {23,58}, {24,26}, {2,29}, {18,47}, {18,46}, {2,36}, {13,41}, {16,40}, {20,42}, {18,29}, {6,34}, {11,51}, {9,39}, {7,54}, {15,28}, {5,28}, {2,39}, {14,35}, {3,47}, {22,59}, {19,56}, {7,60}, {19,38}, {1,31}, {3,31}, {12,27}, {17,57}, {5,53}, {9,58}, {3,36}, {19,49}, {14,54}, {4,60}, {2,44}, {8,56}, {6,36}, {23,40}, {18,51}, {24,53}, {3,55}, {9,51}, {1,47}, {21,47}, {22,26}, {10,36}, {14,33}, {20,51}, {10,46}, {9,55}, {11,48}, {8,47}, {4,41}, {9,38}, {8,41}, {8,45}, {3,29}, {11,52}, {13,36}, {1,41}, {4,45}, {1,59}, {21,57}, {22,29}, {9,54}, {3,44}, {21,42}, {11,46}, {22,30}, {15,58}, {12,30}, {10,31}, {10,44}, {1,25}, {22,50}, {23,56}, {20,30}, {13,31}, {5,39}, {8,53}, {22,45}, {7,28}, {6,45}, {8,34}, {10,30}, {20,47}, {21,58}, {23,47}, {16,30}, {21,60}, {10,25}, {15,35}, {17,38}, {11,32}, {22,53}, {12,25}, {10,52}, {13,38}, {23,27}, {24,35}, {19,53}, {14,40}, {1,48}, {24,43}, {9,41}, {16,31}, {20,59}, {23,59}, {7,39}, {15,39}, {4,59}, {24,29}, {7,52}, {6,37}, {24,51}, {10,28}, {5,31}, {19,34}, {16,44}, {2,54}, {21,49}, {24,60}, {12,43}, {2,26}, {3,53}, {17,50}, {10,40}, {14,55}, {1,60}, {23,37}, {7,29}, {18,30}, {23,57}, {8,36}, {14,58}, {24,49}, {21,46}, {3,33}, {13,32}, {1,45}, {20,50}, {3,34}, {19,43}, {16,46}, {19,60}, {1,33}, {12,36}, {12,44}, {2,37}, {4,42}, {5,29}, {16,50}, {4,25}, {14,30}, {21,34}, {12,33}, {8,33}, {5,47}, {12,58}, {2,57}, {20,27}, {6,54}, {3,57}, {18,49}, {14,49}, {11,31}, {1,53}, {19,35}, {11,41}, {9,50}, {6,26}, {22,27}, {22,51}, {21,43}, {7,42}, {6,41}, {17,40}, {6,42}, {19,32}, {18,43}, {15,51}, {23,46}, {14,25}, {1,56}, {7,26}, {20,45}, {8,55}, {10,27}, {17,53}, {17,27}, {21,56}, {4,26}, {17,37}, {13,28}, {1,28}, {16,52}, {23,50}, {15,36}, {22,35}, {10,43}, {6,55}, {7,44}, {9,49}, {11,55}, {18,60}, {5,44}, {12,54}, {4,52}, {3,37}, {22,32}, {15,43}, {13,46}, {10,32}, {12,35}, {17,32}, {11,50}, {13,52}, {14,48}, {8,25}, {2,42}, {18,42}, {16,32}, {4,48}, {7,57}, {18,34}, {9,48}, {5,48}, {5,33}, {4,56}, {4,54}, {11,38} }; // ETB60.144 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 4608 EdgesBipt[60][143]:={ {24,34}, {6,52}, {7,48}, {10,37}, {14,36}, {11,49}, {9,32}, {6,25}, {23,29}, {5,56}, {16,51}, {2,55}, {3,58}, {11,59}, {8,51}, {3,26}, {1,49}, {14,50}, {17,33}, {4,31}, {5,57}, {3,35}, {11,53}, {21,54}, {17,56}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {20,52}, {2,46}, {10,48}, {23,44}, {13,40}, {2,33}, {24,56}, {21,53}, {11,29}, {15,57}, {24,58}, {10,47}, {20,38}, {2,34}, {19,31}, {18,32}, {2,52}, {13,59}, {7,45}, {8,46}, {6,60}, {16,60}, {21,38}, {7,41}, {12,26}, {12,42}, {6,49}, {10,26}, {22,42}, {19,48}, {12,40}, {20,29}, {3,52}, {23,28}, {17,26}, {24,30}, {22,25}, {24,50}, {13,55}, {18,35}, {24,31}, {24,45}, {20,35}, {23,43}, {1,29}, {19,42}, {23,42}, {16,34}, {2,56}, {6,46}, {18,39}, {13,58}, {8,38}, {18,57}, {13,26}, {17,47}, {4,49}, {17,36}, {16,40}, {18,29}, {11,51}, {5,54}, {6,51}, {22,43}, {10,59}, {24,41}, {14,46}, {24,40}, {3,47}, {1,42}, {19,56}, {1,31}, {12,27}, {1,39}, {7,37}, {7,53}, {9,58}, {20,25}, {2,44}, {1,30}, {21,45}, {19,27}, {23,39}, {18,51}, {3,55}, {9,51}, {10,36}, {14,33}, {15,37}, {10,46}, {11,33}, {8,60}, {21,31}, {19,30}, {10,55}, {4,41}, {9,38}, {18,38}, {1,41}, {12,55}, {13,53}, {9,54}, {18,54}, {13,45}, {8,59}, {3,25}, {11,34}, {11,46}, {16,56}, {22,30}, {2,43}, {12,30}, {4,33}, {9,31}, {10,44}, {7,58}, {24,25}, {15,53}, {1,25}, {22,50}, {23,35}, {9,30}, {5,39}, {3,32}, {14,27}, {13,29}, {9,25}, {5,40}, {20,47}, {15,35}, {1,57}, {17,52}, {14,43}, {19,50}, {13,57}, {14,37}, {13,38}, {15,49}, {21,59}, {19,44}, {9,41}, {20,59}, {23,59}, {15,39}, {22,52}, {21,39}, {20,60}, {6,37}, {8,32}, {10,28}, {5,31}, {3,60}, {4,44}, {12,50}, {12,43}, {17,50}, {2,28}, {23,57}, {8,27}, {6,47}, {13,32}, {1,45}, {14,51}, {19,39}, {19,43}, {15,29}, {4,46}, {8,43}, {16,38}, {11,45}, {20,28}, {18,27}, {5,58}, {20,53}, {12,36}, {16,27}, {5,26}, {7,47}, {16,50}, {23,55}, {14,30}, {21,34}, {3,28}, {7,31}, {12,58}, {17,34}, {3,57}, {18,49}, {15,47}, {14,49}, {21,44}, {15,48}, {13,34}, {24,52}, {11,41}, {7,25}, {22,27}, {15,42}, {2,50}, {6,41}, {23,49}, {10,53}, {21,29}, {17,40}, {9,60}, {8,44}, {19,36}, {6,28}, {21,48}, {23,46}, {20,34}, {7,26}, {20,45}, {11,37}, {8,55}, {5,55}, {14,42}, {16,33}, {17,53}, {3,40}, {2,40}, {8,54}, {21,56}, {9,45}, {14,41}, {12,57}, {16,54}, {17,37}, {16,52}, {9,27}, {2,59}, {12,32}, {15,36}, {22,35}, {10,43}, {8,28}, {18,60}, {5,44}, {15,26}, {22,36}, {22,47}, {24,33}, {4,39}, {7,36}, {6,35}, {22,60}, {22,28}, {1,58}, {18,42}, {16,32}, {4,48}, {6,33}, {19,54}, {17,48}, {5,48}, {4,56}, {4,54}, {11,38} }; // ETB60.145 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][144]:={ {6,52}, {6,38}, {10,37}, {15,38}, {11,49}, {16,51}, {3,58}, {23,53}, {11,59}, {2,60}, {3,26}, {22,40}, {1,49}, {13,37}, {14,50}, {17,33}, {8,40}, {20,46}, {21,30}, {24,54}, {24,36}, {14,56}, {17,56}, {14,45}, {16,37}, {20,37}, {21,28}, {5,32}, {4,51}, {1,35}, {7,30}, {8,31}, {20,52}, {13,43}, {6,56}, {6,58}, {14,57}, {13,27}, {24,28}, {14,44}, {2,33}, {17,35}, {21,53}, {6,29}, {10,47}, {19,40}, {2,34}, {20,26}, {22,55}, {22,37}, {4,43}, {2,52}, {16,49}, {7,59}, {9,33}, {20,43}, {13,59}, {7,45}, {8,46}, {9,57}, {12,38}, {23,31}, {13,30}, {12,42}, {11,39}, {6,49}, {10,26}, {5,60}, {24,30}, {5,37}, {24,50}, {16,25}, {23,43}, {1,29}, {19,42}, {2,56}, {6,46}, {23,58}, {16,43}, {7,56}, {18,39}, {18,57}, {9,47}, {12,52}, {17,36}, {5,34}, {18,47}, {1,38}, {18,46}, {13,41}, {8,49}, {16,40}, {22,34}, {11,51}, {8,42}, {18,26}, {18,59}, {5,28}, {24,41}, {2,39}, {7,32}, {7,60}, {19,38}, {1,31}, {12,27}, {3,51}, {18,55}, {6,27}, {2,30}, {9,58}, {5,35}, {3,36}, {17,29}, {14,54}, {20,25}, {2,44}, {14,28}, {23,39}, {1,55}, {4,53}, {10,57}, {21,47}, {10,36}, {15,34}, {10,58}, {9,55}, {17,58}, {14,39}, {21,31}, {11,48}, {18,38}, {17,54}, {13,36}, {4,45}, {1,59}, {22,29}, {20,54}, {4,47}, {3,25}, {23,48}, {11,34}, {24,59}, {17,28}, {15,60}, {11,46}, {2,43}, {15,58}, {12,30}, {4,33}, {7,50}, {22,44}, {10,31}, {10,29}, {15,52}, {24,25}, {23,56}, {23,35}, {19,55}, {3,32}, {22,45}, {16,41}, {19,41}, {13,29}, {8,34}, {9,25}, {4,50}, {12,45}, {11,32}, {12,25}, {3,42}, {19,50}, {15,49}, {23,27}, {18,31}, {14,40}, {1,48}, {9,41}, {20,59}, {4,36}, {1,54}, {4,59}, {7,52}, {6,57}, {5,31}, {20,48}, {16,44}, {21,49}, {24,60}, {2,41}, {10,40}, {14,55}, {7,29}, {11,56}, {18,30}, {22,38}, {8,36}, {24,49}, {23,52}, {13,32}, {14,26}, {10,50}, {23,32}, {19,33}, {19,39}, {9,28}, {16,53}, {20,57}, {19,60}, {8,43}, {18,27}, {3,45}, {12,44}, {5,26}, {24,57}, {4,42}, {16,50}, {12,53}, {3,28}, {12,33}, {2,57}, {17,34}, {6,54}, {15,47}, {22,33}, {7,51}, {21,44}, {15,48}, {1,53}, {19,35}, {11,41}, {17,60}, {15,42}, {22,51}, {13,35}, {21,27}, {6,41}, {21,29}, {8,44}, {19,58}, {21,51}, {19,32}, {13,33}, {15,51}, {20,34}, {7,26}, {20,45}, {1,50}, {10,60}, {11,28}, {2,47}, {5,55}, {3,40}, {8,35}, {8,54}, {21,56}, {17,45}, {22,46}, {16,52}, {3,27}, {9,27}, {7,38}, {10,43}, {21,36}, {15,31}, {11,55}, {24,42}, {5,44}, {5,25}, {12,54}, {9,53}, {22,47}, {14,53}, {8,39}, {13,46}, {4,39}, {12,35}, {23,26}, {1,37}, {18,42}, {16,32}, {4,48}, {3,46}, {9,48}, {17,48}, {15,25}, {5,30}, {9,37}, {6,40} }; // ETB60.146 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][145]:={ {15,33}, {8,57}, {6,59}, {9,32}, {6,25}, {11,25}, {2,55}, {5,59}, {11,59}, {19,57}, {8,51}, {2,60}, {3,26}, {1,40}, {15,54}, {2,35}, {17,33}, {8,40}, {16,58}, {21,30}, {11,57}, {15,27}, {21,54}, {17,56}, {10,39}, {14,45}, {6,48}, {19,37}, {3,39}, {21,28}, {16,28}, {1,35}, {7,30}, {15,41}, {8,31}, {4,37}, {2,46}, {6,56}, {13,43}, {13,27}, {10,48}, {23,44}, {13,40}, {14,44}, {2,33}, {24,56}, {11,35}, {10,42}, {20,38}, {19,40}, {21,40}, {4,43}, {1,52}, {23,45}, {23,38}, {8,37}, {8,52}, {16,60}, {7,27}, {6,39}, {23,36}, {6,49}, {10,26}, {12,31}, {19,48}, {3,52}, {24,30}, {24,47}, {13,42}, {20,35}, {1,29}, {23,58}, {16,43}, {6,44}, {5,50}, {12,52}, {4,49}, {17,36}, {5,34}, {1,38}, {14,32}, {13,41}, {8,49}, {22,34}, {18,29}, {22,58}, {1,43}, {12,49}, {11,51}, {8,42}, {18,26}, {7,54}, {18,33}, {18,36}, {23,60}, {10,59}, {16,59}, {18,59}, {3,43}, {5,28}, {24,41}, {14,46}, {2,39}, {7,32}, {19,38}, {1,31}, {13,49}, {7,37}, {7,53}, {11,42}, {9,58}, {5,35}, {17,29}, {14,54}, {8,50}, {12,56}, {24,53}, {3,55}, {9,51}, {10,57}, {21,47}, {10,36}, {20,51}, {15,34}, {22,56}, {17,58}, {19,30}, {11,48}, {24,55}, {9,26}, {18,38}, {21,37}, {3,29}, {11,52}, {17,31}, {1,41}, {12,55}, {13,53}, {22,29}, {12,41}, {20,54}, {4,47}, {13,45}, {24,59}, {17,28}, {16,56}, {15,58}, {12,30}, {10,31}, {9,31}, {17,46}, {23,51}, {9,30}, {5,39}, {8,53}, {3,32}, {22,45}, {7,28}, {20,44}, {9,25}, {15,46}, {10,30}, {20,47}, {4,50}, {21,60}, {4,34}, {17,52}, {22,53}, {16,26}, {12,25}, {15,40}, {19,50}, {14,43}, {22,57}, {15,49}, {23,27}, {19,44}, {18,31}, {7,49}, {1,48}, {23,59}, {3,41}, {23,34}, {4,36}, {22,41}, {1,54}, {24,29}, {21,39}, {7,52}, {20,60}, {19,29}, {6,43}, {6,37}, {24,27}, {20,48}, {19,34}, {3,60}, {24,60}, {20,32}, {2,26}, {14,55}, {11,56}, {14,47}, {22,38}, {13,44}, {14,58}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {13,32}, {1,45}, {20,50}, {19,39}, {9,28}, {16,53}, {20,57}, {16,46}, {4,46}, {2,31}, {16,38}, {11,45}, {20,28}, {18,27}, {3,54}, {8,58}, {12,36}, {24,57}, {4,42}, {16,50}, {10,41}, {23,55}, {21,34}, {12,39}, {21,35}, {15,55}, {15,47}, {13,34}, {17,60}, {7,25}, {9,50}, {22,51}, {21,29}, {24,44}, {23,30}, {6,28}, {4,35}, {21,51}, {19,32}, {13,33}, {18,43}, {18,53}, {14,25}, {7,26}, {14,42}, {17,27}, {10,45}, {2,40}, {8,54}, {18,50}, {17,37}, {16,52}, {9,27}, {5,42}, {2,38}, {9,40}, {11,55}, {5,44}, {5,25}, {22,36}, {22,47}, {14,53}, {1,46}, {9,42}, {5,36}, {12,35}, {4,48}, {7,57}, {6,33}, {2,32}, {12,51}, {11,26}, {15,25}, {5,33}, {18,37}, {4,56}, {10,49} }; // ETB60.147 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[60][146]:={ {24,34}, {15,33}, {6,52}, {19,28}, {6,38}, {11,40}, {10,37}, {15,59}, {14,36}, {11,49}, {5,38}, {5,56}, {11,25}, {3,58}, {8,51}, {19,57}, {8,26}, {14,38}, {17,42}, {13,39}, {15,54}, {2,35}, {5,57}, {14,31}, {24,32}, {11,53}, {10,39}, {14,45}, {16,37}, {1,35}, {15,41}, {8,31}, {4,40}, {13,43}, {6,56}, {10,56}, {24,58}, {20,26}, {22,55}, {2,25}, {16,42}, {18,32}, {4,30}, {7,59}, {8,30}, {12,46}, {13,59}, {8,37}, {9,57}, {24,46}, {6,60}, {7,41}, {20,49}, {23,31}, {7,27}, {12,40}, {23,28}, {17,26}, {2,48}, {15,30}, {22,25}, {18,35}, {24,31}, {20,35}, {23,43}, {1,36}, {1,29}, {23,42}, {13,51}, {2,56}, {23,58}, {16,43}, {15,45}, {18,57}, {5,50}, {1,38}, {2,36}, {8,49}, {20,36}, {13,41}, {16,40}, {20,42}, {10,51}, {11,51}, {9,39}, {5,54}, {22,43}, {6,51}, {23,60}, {21,55}, {5,28}, {24,41}, {9,59}, {24,40}, {3,47}, {19,56}, {12,27}, {7,37}, {17,57}, {19,49}, {8,48}, {14,60}, {4,60}, {22,49}, {8,50}, {14,28}, {12,47}, {23,40}, {21,47}, {10,46}, {9,55}, {13,25}, {10,55}, {24,55}, {9,26}, {18,38}, {17,54}, {3,59}, {11,58}, {11,52}, {17,31}, {3,29}, {13,36}, {4,45}, {12,55}, {1,59}, {21,57}, {18,54}, {4,47}, {11,34}, {21,42}, {15,60}, {5,52}, {15,58}, {12,30}, {6,30}, {7,50}, {4,33}, {22,44}, {4,57}, {9,31}, {10,44}, {10,29}, {1,25}, {23,35}, {9,30}, {5,39}, {19,55}, {8,53}, {3,32}, {18,44}, {6,45}, {17,44}, {8,34}, {15,46}, {20,47}, {21,60}, {10,25}, {12,29}, {21,32}, {16,26}, {10,52}, {19,50}, {3,42}, {14,43}, {13,38}, {21,59}, {7,49}, {9,41}, {16,31}, {16,45}, {7,39}, {23,34}, {22,41}, {15,39}, {4,29}, {1,32}, {1,54}, {22,52}, {20,60}, {19,29}, {20,48}, {4,44}, {24,60}, {17,41}, {3,53}, {18,41}, {11,56}, {8,36}, {14,58}, {2,45}, {23,52}, {6,47}, {3,48}, {20,50}, {14,51}, {19,59}, {11,30}, {19,33}, {16,53}, {7,55}, {11,47}, {18,52}, {8,43}, {16,38}, {20,28}, {21,33}, {18,27}, {3,54}, {3,45}, {2,53}, {12,44}, {2,37}, {5,29}, {16,50}, {12,53}, {14,30}, {21,34}, {12,39}, {12,58}, {7,51}, {22,33}, {15,48}, {19,35}, {5,51}, {6,26}, {23,49}, {21,29}, {17,40}, {24,44}, {12,34}, {19,36}, {6,28}, {21,48}, {19,32}, {13,33}, {18,43}, {14,25}, {1,56}, {13,54}, {20,34}, {11,37}, {2,47}, {16,35}, {10,27}, {17,53}, {17,27}, {17,45}, {18,50}, {4,26}, {22,46}, {13,28}, {20,56}, {23,25}, {16,52}, {3,27}, {9,27}, {2,38}, {22,35}, {15,31}, {7,43}, {24,42}, {1,27}, {5,44}, {9,53}, {1,46}, {22,32}, {9,34}, {24,33}, {13,46}, {4,39}, {7,36}, {17,32}, {6,50}, {21,26}, {14,48}, {22,28}, {1,37}, {2,42}, {7,57}, {3,46}, {9,48}, {18,37}, {2,58}, {5,33}, {4,54}, {10,49}, {6,40} }; // ETB60.148 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[60][147]:={ {24,34}, {15,33}, {18,45}, {7,48}, {11,49}, {9,32}, {6,25}, {5,38}, {16,51}, {5,43}, {3,58}, {5,59}, {11,59}, {8,51}, {5,45}, {22,40}, {1,49}, {13,37}, {15,44}, {15,54}, {14,50}, {2,35}, {4,31}, {20,46}, {10,33}, {21,30}, {14,31}, {11,53}, {21,54}, {17,56}, {6,48}, {19,37}, {16,37}, {4,51}, {15,41}, {8,31}, {4,40}, {2,46}, {13,27}, {14,57}, {23,44}, {10,48}, {13,40}, {10,56}, {10,42}, {10,47}, {20,38}, {2,34}, {22,37}, {21,40}, {16,42}, {18,32}, {1,52}, {16,48}, {15,32}, {8,30}, {7,59}, {23,38}, {7,45}, {8,37}, {9,57}, {24,46}, {17,39}, {6,60}, {16,60}, {23,31}, {23,54}, {4,58}, {23,36}, {6,49}, {7,33}, {12,31}, {23,28}, {12,40}, {19,48}, {17,26}, {24,30}, {13,47}, {2,48}, {22,25}, {20,39}, {5,37}, {24,47}, {13,55}, {16,25}, {24,45}, {9,56}, {20,35}, {1,36}, {1,29}, {19,42}, {23,42}, {16,34}, {6,46}, {15,45}, {10,35}, {8,38}, {17,47}, {5,50}, {12,52}, {1,38}, {8,49}, {22,58}, {6,34}, {9,29}, {11,51}, {8,42}, {18,33}, {22,43}, {5,27}, {18,59}, {3,43}, {20,41}, {2,39}, {9,46}, {3,47}, {1,42}, {3,31}, {12,27}, {17,57}, {7,53}, {5,35}, {14,34}, {19,49}, {17,29}, {20,25}, {4,32}, {22,49}, {19,27}, {8,50}, {14,28}, {6,36}, {1,55}, {11,36}, {3,30}, {22,48}, {21,47}, {2,51}, {10,58}, {22,56}, {8,60}, {13,25}, {17,58}, {14,39}, {21,31}, {4,41}, {24,55}, {9,26}, {18,38}, {13,36}, {12,55}, {13,53}, {9,54}, {12,41}, {24,39}, {3,44}, {11,44}, {17,55}, {7,35}, {19,45}, {15,60}, {11,46}, {5,52}, {15,58}, {6,30}, {4,33}, {10,29}, {7,58}, {17,46}, {13,56}, {1,25}, {22,50}, {23,35}, {19,55}, {16,41}, {7,28}, {20,44}, {17,44}, {15,46}, {17,30}, {12,45}, {10,25}, {22,53}, {9,52}, {11,54}, {13,38}, {9,41}, {16,31}, {23,59}, {1,32}, {24,29}, {20,60}, {19,29}, {24,51}, {6,57}, {10,28}, {3,60}, {4,44}, {24,60}, {7,40}, {2,41}, {2,26}, {23,57}, {21,52}, {4,55}, {16,36}, {14,26}, {20,50}, {10,50}, {19,59}, {11,30}, {7,55}, {20,57}, {18,28}, {15,29}, {14,59}, {18,52}, {20,28}, {21,33}, {1,33}, {20,53}, {3,54}, {3,45}, {2,53}, {7,47}, {2,37}, {5,29}, {14,30}, {21,34}, {12,39}, {5,47}, {3,57}, {6,54}, {18,49}, {14,49}, {12,60}, {24,52}, {22,27}, {13,35}, {21,43}, {2,50}, {12,34}, {8,44}, {19,36}, {6,28}, {19,58}, {21,51}, {19,32}, {18,43}, {15,51}, {18,53}, {1,56}, {11,37}, {16,35}, {14,42}, {3,40}, {17,27}, {21,56}, {18,50}, {4,26}, {12,57}, {16,54}, {1,28}, {3,27}, {9,27}, {5,42}, {2,59}, {12,32}, {10,43}, {6,53}, {18,40}, {9,43}, {8,39}, {22,32}, {23,41}, {9,34}, {24,33}, {15,43}, {4,39}, {7,36}, {23,26}, {13,52}, {21,26}, {14,48}, {8,25}, {11,26}, {4,56}, {11,38} }; // ETB60.149 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[60][148]:={ {7,48}, {10,37}, {11,49}, {6,59}, {5,38}, {16,51}, {11,25}, {3,58}, {23,53}, {11,59}, {19,57}, {8,51}, {5,45}, {1,49}, {1,40}, {14,50}, {3,35}, {20,46}, {10,33}, {21,30}, {15,27}, {16,55}, {24,32}, {24,36}, {14,56}, {2,49}, {16,37}, {3,39}, {15,56}, {21,28}, {5,32}, {1,35}, {8,31}, {4,40}, {13,43}, {6,56}, {6,58}, {13,27}, {10,48}, {23,44}, {13,40}, {6,32}, {17,35}, {4,38}, {21,53}, {11,35}, {11,29}, {15,57}, {6,29}, {22,37}, {2,25}, {12,48}, {15,32}, {4,30}, {23,38}, {9,33}, {20,43}, {7,45}, {9,57}, {24,46}, {17,39}, {16,60}, {21,38}, {12,38}, {20,49}, {13,30}, {17,59}, {7,27}, {12,42}, {6,39}, {12,31}, {19,48}, {17,26}, {24,30}, {2,48}, {15,30}, {20,39}, {24,50}, {18,35}, {9,56}, {7,56}, {13,58}, {17,47}, {18,47}, {1,26}, {16,40}, {24,37}, {18,29}, {6,34}, {9,29}, {12,49}, {8,42}, {18,26}, {7,54}, {18,36}, {22,43}, {23,60}, {10,59}, {16,59}, {21,55}, {5,28}, {24,41}, {20,41}, {14,46}, {2,39}, {7,60}, {19,38}, {3,31}, {3,51}, {18,55}, {7,37}, {11,42}, {14,34}, {15,50}, {17,29}, {8,48}, {14,60}, {20,25}, {22,49}, {21,45}, {6,36}, {18,51}, {24,53}, {9,51}, {22,26}, {10,36}, {14,33}, {2,51}, {10,38}, {10,58}, {11,33}, {8,60}, {19,30}, {8,47}, {8,41}, {24,55}, {8,45}, {3,59}, {11,58}, {4,45}, {1,59}, {21,57}, {9,54}, {18,54}, {11,44}, {4,47}, {17,28}, {22,30}, {5,52}, {2,27}, {6,30}, {22,44}, {10,31}, {9,31}, {10,44}, {15,52}, {1,25}, {13,31}, {5,39}, {19,55}, {16,41}, {20,44}, {19,41}, {15,46}, {5,40}, {12,45}, {4,34}, {10,25}, {12,29}, {1,57}, {14,43}, {13,57}, {24,35}, {10,54}, {19,44}, {14,40}, {1,48}, {24,43}, {9,41}, {4,36}, {4,29}, {1,54}, {22,52}, {4,59}, {19,34}, {21,49}, {12,50}, {17,41}, {2,26}, {3,53}, {7,29}, {14,47}, {22,38}, {14,58}, {8,27}, {21,46}, {23,52}, {16,36}, {13,32}, {14,26}, {23,32}, {3,50}, {19,39}, {9,28}, {3,34}, {19,43}, {18,28}, {18,52}, {2,31}, {11,45}, {20,28}, {18,27}, {5,58}, {3,54}, {20,53}, {12,36}, {16,27}, {2,53}, {19,25}, {7,47}, {4,25}, {23,55}, {8,33}, {5,47}, {3,57}, {15,47}, {13,34}, {17,60}, {15,42}, {1,34}, {2,50}, {23,49}, {17,40}, {8,44}, {6,28}, {6,42}, {21,48}, {21,51}, {13,33}, {18,53}, {20,34}, {20,45}, {11,37}, {23,33}, {5,55}, {14,42}, {17,53}, {13,60}, {2,40}, {21,56}, {16,54}, {22,46}, {17,37}, {16,39}, {20,56}, {16,52}, {5,42}, {23,50}, {12,32}, {22,35}, {15,31}, {6,55}, {7,44}, {8,28}, {7,43}, {19,51}, {1,27}, {5,25}, {12,54}, {15,26}, {22,36}, {4,52}, {9,43}, {1,46}, {9,42}, {23,41}, {24,33}, {10,32}, {12,35}, {11,50}, {22,60}, {23,26}, {13,52}, {7,57}, {3,46}, {2,58}, {4,56}, {9,37} }; // ETB60.150 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1152 EdgesBipt[60][149]:={ {11,40}, {10,37}, {8,57}, {9,32}, {5,38}, {4,28}, {23,53}, {2,35}, {5,57}, {11,57}, {11,53}, {2,49}, {14,56}, {16,37}, {3,39}, {13,43}, {6,56}, {10,48}, {6,32}, {10,56}, {15,57}, {19,40}, {20,26}, {19,31}, {18,32}, {1,52}, {16,48}, {23,45}, {8,30}, {7,59}, {23,38}, {16,60}, {21,38}, {23,31}, {17,59}, {23,54}, {4,58}, {12,42}, {22,42}, {7,33}, {23,28}, {5,60}, {24,30}, {15,30}, {18,58}, {19,52}, {24,50}, {24,47}, {1,36}, {6,46}, {7,56}, {6,44}, {18,57}, {13,26}, {17,47}, {5,50}, {17,36}, {2,29}, {14,32}, {16,40}, {20,42}, {22,34}, {24,37}, {22,58}, {9,36}, {1,43}, {9,39}, {18,33}, {6,51}, {23,60}, {3,38}, {5,27}, {19,46}, {15,28}, {21,55}, {24,41}, {20,41}, {24,40}, {3,47}, {1,42}, {7,60}, {1,31}, {12,27}, {18,55}, {7,37}, {19,49}, {14,54}, {22,49}, {2,44}, {6,36}, {23,39}, {4,53}, {16,29}, {11,36}, {3,30}, {3,55}, {9,51}, {22,48}, {21,47}, {22,26}, {14,33}, {2,51}, {20,51}, {15,37}, {10,38}, {10,58}, {22,56}, {17,51}, {4,41}, {9,38}, {24,55}, {18,38}, {21,37}, {7,46}, {8,45}, {11,52}, {1,41}, {13,53}, {22,29}, {4,47}, {13,45}, {11,46}, {16,56}, {15,58}, {12,30}, {4,33}, {10,31}, {10,44}, {17,46}, {23,51}, {1,25}, {13,50}, {20,30}, {5,39}, {8,53}, {18,44}, {14,27}, {16,41}, {7,28}, {6,45}, {13,29}, {17,30}, {5,40}, {21,60}, {4,34}, {10,25}, {15,35}, {12,29}, {1,57}, {11,32}, {17,52}, {9,52}, {21,32}, {16,26}, {11,54}, {22,57}, {13,38}, {24,35}, {21,59}, {18,31}, {14,40}, {7,49}, {24,43}, {9,41}, {23,59}, {15,39}, {4,29}, {4,59}, {6,43}, {6,37}, {5,31}, {17,25}, {19,34}, {12,43}, {2,26}, {17,50}, {14,55}, {1,60}, {2,28}, {8,29}, {13,44}, {8,27}, {3,48}, {3,33}, {20,50}, {10,50}, {23,32}, {19,39}, {3,34}, {16,53}, {19,43}, {20,57}, {18,28}, {11,47}, {14,59}, {3,56}, {20,28}, {20,53}, {3,54}, {8,58}, {3,45}, {19,25}, {5,26}, {7,47}, {10,41}, {4,25}, {7,31}, {12,33}, {12,39}, {6,54}, {15,47}, {14,49}, {21,44}, {20,33}, {15,48}, {1,53}, {19,35}, {12,60}, {13,34}, {24,52}, {9,50}, {22,27}, {21,27}, {2,50}, {21,29}, {24,44}, {12,34}, {8,44}, {19,58}, {6,42}, {21,48}, {18,43}, {15,51}, {14,25}, {5,49}, {7,26}, {20,45}, {11,28}, {16,35}, {8,55}, {5,55}, {14,42}, {13,60}, {17,27}, {10,45}, {8,35}, {2,40}, {8,54}, {17,45}, {14,41}, {12,59}, {16,54}, {22,46}, {16,39}, {20,56}, {23,25}, {2,59}, {15,36}, {21,36}, {15,31}, {7,43}, {9,40}, {11,55}, {1,27}, {4,52}, {22,36}, {9,42}, {9,34}, {24,33}, {13,46}, {12,35}, {6,35}, {13,52}, {1,37}, {8,25}, {18,42}, {4,48}, {2,32}, {18,34}, {12,51}, {17,49}, {11,26}, {3,46}, {19,54}, {9,48}, {2,58}, {5,30}, {10,49} }; // ETB60.151 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][150]:={ {15,33}, {18,45}, {19,28}, {6,38}, {11,40}, {10,37}, {11,49}, {6,59}, {6,25}, {5,56}, {19,26}, {11,25}, {4,28}, {3,58}, {23,53}, {11,59}, {8,51}, {5,45}, {2,60}, {3,26}, {13,37}, {13,39}, {15,54}, {8,40}, {16,58}, {20,46}, {10,33}, {14,31}, {24,32}, {21,41}, {14,56}, {21,54}, {2,49}, {10,39}, {3,39}, {19,37}, {20,58}, {16,28}, {5,32}, {4,51}, {1,35}, {7,30}, {2,46}, {24,48}, {13,27}, {14,29}, {10,48}, {24,28}, {13,40}, {2,33}, {24,56}, {10,56}, {15,57}, {11,27}, {20,38}, {2,34}, {22,37}, {12,28}, {21,40}, {1,52}, {23,45}, {12,46}, {20,43}, {17,39}, {16,60}, {20,49}, {7,27}, {23,36}, {10,26}, {12,31}, {13,47}, {5,60}, {15,30}, {19,52}, {5,37}, {24,50}, {24,47}, {18,35}, {24,31}, {1,36}, {1,29}, {23,42}, {23,58}, {13,58}, {8,38}, {20,55}, {9,47}, {4,49}, {18,47}, {16,40}, {10,51}, {18,29}, {9,36}, {9,29}, {18,26}, {16,59}, {15,28}, {18,56}, {24,41}, {14,46}, {9,46}, {9,59}, {3,47}, {19,56}, {7,60}, {1,31}, {19,47}, {6,27}, {2,30}, {11,42}, {15,50}, {11,60}, {20,25}, {8,56}, {12,47}, {6,36}, {23,40}, {1,55}, {10,57}, {22,26}, {16,57}, {10,38}, {15,34}, {10,58}, {17,51}, {4,41}, {8,41}, {9,26}, {8,45}, {11,52}, {12,55}, {1,51}, {21,57}, {22,29}, {12,41}, {18,54}, {20,31}, {13,45}, {3,44}, {24,39}, {17,55}, {11,34}, {24,59}, {21,42}, {22,30}, {2,43}, {7,50}, {22,44}, {7,58}, {15,53}, {1,25}, {20,30}, {8,53}, {7,28}, {17,44}, {14,52}, {9,25}, {10,30}, {21,60}, {4,34}, {12,29}, {6,31}, {21,32}, {11,54}, {22,57}, {19,50}, {3,42}, {13,38}, {7,49}, {24,43}, {16,31}, {23,34}, {3,41}, {1,32}, {9,44}, {7,52}, {6,43}, {8,32}, {6,57}, {17,25}, {19,34}, {4,44}, {2,54}, {12,43}, {3,53}, {17,50}, {18,41}, {18,30}, {2,28}, {22,38}, {13,44}, {24,49}, {2,45}, {23,52}, {4,55}, {3,48}, {16,36}, {13,32}, {14,26}, {14,51}, {19,59}, {19,39}, {7,55}, {16,46}, {14,59}, {4,46}, {16,38}, {11,45}, {18,27}, {21,33}, {5,58}, {20,53}, {12,36}, {12,44}, {5,29}, {23,55}, {7,31}, {8,33}, {5,47}, {20,27}, {6,54}, {3,57}, {17,34}, {15,55}, {14,49}, {21,44}, {19,35}, {22,27}, {22,51}, {15,42}, {13,35}, {7,42}, {10,53}, {21,29}, {19,36}, {21,48}, {21,51}, {4,35}, {23,46}, {18,53}, {14,25}, {1,56}, {20,45}, {1,50}, {23,33}, {16,33}, {3,40}, {13,60}, {8,35}, {8,54}, {14,41}, {4,26}, {17,37}, {23,25}, {16,52}, {3,27}, {5,42}, {2,38}, {2,59}, {12,32}, {15,36}, {22,35}, {6,53}, {22,54}, {4,52}, {9,43}, {8,39}, {9,34}, {15,43}, {4,39}, {12,35}, {17,32}, {11,50}, {22,60}, {17,43}, {6,50}, {14,48}, {1,37}, {18,42}, {7,57}, {17,49}, {9,48}, {17,48}, {5,48}, {5,33}, {5,30}, {9,37}, {6,40} }; // ETB60.152 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][151]:={ {6,52}, {6,38}, {11,40}, {10,37}, {15,38}, {5,38}, {5,56}, {11,25}, {4,28}, {2,55}, {23,53}, {11,59}, {5,45}, {2,60}, {8,26}, {1,49}, {13,37}, {13,39}, {14,50}, {8,40}, {3,35}, {20,46}, {10,33}, {21,30}, {15,27}, {24,32}, {21,41}, {24,36}, {11,53}, {21,54}, {2,49}, {14,56}, {10,39}, {16,28}, {1,35}, {4,51}, {24,48}, {13,27}, {10,48}, {24,28}, {2,33}, {17,35}, {15,57}, {19,31}, {2,25}, {12,48}, {16,42}, {1,52}, {2,52}, {16,49}, {7,59}, {20,43}, {7,45}, {8,37}, {5,41}, {23,31}, {12,26}, {17,59}, {13,30}, {7,27}, {23,36}, {10,26}, {22,42}, {19,48}, {23,28}, {17,26}, {13,47}, {15,30}, {24,50}, {24,47}, {18,35}, {9,56}, {24,31}, {23,43}, {1,29}, {23,42}, {12,37}, {6,46}, {23,58}, {13,58}, {20,55}, {18,57}, {17,47}, {9,47}, {12,52}, {18,47}, {14,32}, {20,36}, {16,40}, {20,42}, {10,51}, {18,29}, {22,58}, {6,34}, {9,29}, {8,42}, {18,26}, {5,54}, {3,38}, {5,27}, {16,59}, {19,46}, {15,28}, {24,41}, {9,46}, {9,59}, {14,35}, {19,56}, {7,60}, {1,31}, {3,51}, {6,27}, {5,53}, {5,35}, {14,34}, {15,50}, {17,29}, {8,48}, {20,25}, {21,45}, {8,56}, {14,28}, {6,36}, {1,55}, {11,36}, {22,48}, {16,57}, {10,38}, {15,34}, {10,58}, {11,33}, {8,60}, {14,39}, {8,47}, {4,41}, {9,26}, {8,45}, {7,46}, {11,58}, {11,52}, {17,31}, {3,29}, {1,51}, {18,54}, {20,54}, {20,31}, {3,44}, {24,39}, {11,34}, {24,59}, {21,42}, {17,28}, {15,60}, {22,30}, {15,58}, {6,30}, {22,44}, {7,34}, {10,44}, {7,58}, {17,46}, {13,56}, {1,25}, {20,30}, {5,39}, {19,55}, {3,32}, {18,44}, {6,45}, {17,44}, {19,41}, {9,25}, {21,60}, {4,34}, {17,52}, {22,53}, {21,32}, {12,25}, {14,43}, {22,57}, {13,57}, {14,37}, {1,44}, {13,38}, {15,49}, {7,49}, {24,43}, {16,31}, {23,59}, {4,36}, {22,41}, {1,32}, {20,60}, {19,29}, {22,39}, {3,60}, {2,54}, {7,40}, {12,50}, {17,41}, {18,41}, {10,40}, {14,55}, {14,47}, {8,29}, {23,57}, {8,27}, {4,55}, {3,33}, {13,32}, {16,53}, {19,43}, {16,46}, {4,46}, {2,31}, {11,45}, {18,27}, {21,33}, {3,54}, {8,58}, {12,36}, {16,27}, {12,44}, {5,26}, {19,25}, {12,39}, {2,57}, {3,57}, {6,54}, {15,55}, {22,33}, {14,49}, {20,33}, {5,51}, {7,25}, {13,35}, {7,42}, {2,50}, {10,53}, {21,29}, {24,44}, {12,34}, {19,36}, {23,30}, {6,28}, {21,48}, {21,51}, {4,35}, {19,32}, {18,53}, {20,45}, {1,50}, {23,33}, {3,40}, {13,60}, {10,45}, {2,40}, {21,56}, {12,59}, {4,26}, {16,54}, {16,52}, {2,38}, {23,50}, {6,55}, {6,53}, {9,49}, {7,43}, {18,40}, {19,51}, {4,52}, {9,43}, {22,47}, {3,37}, {22,32}, {9,34}, {15,43}, {4,39}, {11,50}, {1,37}, {18,42}, {12,51}, {17,49}, {9,48}, {4,56}, {5,30}, {11,38}, {9,37} }; // ETB60.153 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][152]:={ {24,34}, {6,52}, {11,40}, {10,37}, {15,38}, {11,49}, {6,59}, {5,38}, {5,56}, {16,51}, {4,28}, {5,43}, {11,59}, {19,57}, {8,51}, {5,45}, {2,60}, {3,26}, {22,40}, {13,39}, {14,50}, {17,33}, {8,40}, {16,58}, {3,35}, {10,33}, {21,30}, {11,57}, {16,55}, {14,56}, {21,54}, {2,49}, {6,48}, {3,39}, {20,37}, {20,58}, {21,28}, {4,37}, {23,44}, {10,48}, {2,33}, {17,35}, {11,29}, {10,56}, {15,57}, {10,47}, {20,38}, {21,40}, {15,32}, {23,45}, {4,30}, {16,49}, {8,30}, {9,33}, {9,57}, {24,46}, {17,39}, {8,52}, {12,38}, {23,31}, {23,54}, {17,59}, {4,58}, {12,42}, {23,36}, {6,39}, {10,26}, {23,28}, {20,29}, {3,52}, {5,60}, {24,30}, {22,25}, {19,52}, {24,50}, {13,42}, {1,36}, {19,42}, {13,51}, {2,56}, {23,58}, {6,46}, {16,43}, {10,35}, {20,55}, {5,50}, {12,52}, {4,49}, {5,34}, {18,47}, {10,51}, {24,37}, {18,29}, {1,43}, {9,29}, {18,36}, {6,51}, {3,38}, {5,27}, {19,46}, {18,56}, {3,47}, {19,56}, {7,60}, {3,31}, {19,47}, {12,27}, {13,49}, {7,37}, {17,57}, {5,53}, {7,53}, {9,58}, {11,60}, {14,60}, {4,32}, {21,45}, {8,56}, {14,28}, {1,55}, {3,30}, {22,26}, {14,33}, {2,51}, {20,51}, {15,37}, {13,25}, {21,31}, {4,41}, {9,38}, {8,41}, {24,55}, {9,26}, {7,46}, {8,45}, {3,59}, {3,29}, {13,36}, {1,41}, {12,55}, {22,29}, {9,54}, {3,44}, {13,45}, {8,59}, {23,48}, {11,34}, {17,28}, {11,46}, {12,30}, {4,57}, {10,44}, {15,52}, {17,46}, {15,53}, {1,25}, {23,56}, {24,38}, {14,27}, {16,41}, {7,28}, {20,44}, {19,41}, {13,29}, {8,34}, {9,25}, {15,46}, {12,45}, {10,25}, {17,38}, {22,53}, {16,26}, {11,54}, {15,40}, {19,50}, {24,35}, {19,53}, {18,31}, {7,49}, {1,48}, {24,43}, {20,59}, {23,59}, {7,39}, {4,36}, {22,41}, {4,29}, {1,32}, {1,54}, {21,39}, {20,60}, {8,32}, {22,39}, {10,28}, {5,31}, {17,25}, {20,48}, {16,44}, {21,49}, {20,32}, {14,55}, {18,30}, {14,47}, {23,57}, {13,44}, {14,58}, {24,49}, {2,45}, {23,52}, {6,47}, {3,50}, {16,53}, {7,55}, {14,59}, {8,43}, {18,27}, {21,33}, {12,36}, {2,53}, {19,25}, {7,47}, {2,37}, {16,50}, {12,53}, {14,30}, {7,31}, {12,39}, {12,58}, {2,57}, {6,54}, {11,31}, {15,48}, {19,35}, {13,34}, {11,41}, {17,60}, {9,50}, {22,27}, {1,34}, {22,51}, {13,35}, {21,43}, {21,27}, {19,36}, {6,42}, {4,35}, {13,54}, {20,34}, {8,35}, {2,40}, {17,45}, {14,41}, {4,26}, {16,54}, {1,28}, {16,52}, {9,27}, {12,32}, {10,43}, {15,31}, {6,55}, {7,44}, {18,40}, {24,42}, {1,27}, {5,44}, {5,25}, {15,26}, {22,47}, {1,46}, {22,32}, {9,42}, {24,33}, {15,43}, {7,36}, {17,32}, {11,50}, {22,60}, {21,26}, {2,42}, {18,42}, {6,33}, {18,34}, {18,48}, {9,48}, {18,37}, {2,58}, {6,40} }; // ETB60.154 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][153]:={ {18,45}, {19,28}, {15,59}, {6,59}, {4,28}, {5,43}, {5,59}, {8,51}, {19,57}, {5,45}, {2,60}, {3,26}, {22,40}, {17,42}, {2,35}, {20,46}, {10,33}, {24,36}, {6,48}, {19,37}, {15,56}, {20,37}, {21,28}, {5,32}, {1,35}, {15,41}, {4,37}, {4,40}, {2,46}, {13,43}, {24,48}, {23,44}, {17,35}, {10,56}, {24,58}, {19,40}, {20,26}, {12,28}, {21,40}, {16,42}, {2,52}, {4,30}, {16,49}, {23,38}, {9,33}, {7,45}, {9,57}, {5,41}, {12,38}, {13,30}, {17,59}, {23,54}, {12,42}, {23,36}, {10,26}, {22,42}, {7,33}, {3,52}, {13,47}, {24,30}, {20,39}, {19,52}, {5,37}, {24,47}, {18,35}, {1,29}, {23,58}, {7,56}, {18,39}, {24,26}, {17,47}, {9,47}, {4,49}, {5,34}, {18,47}, {1,26}, {13,41}, {8,49}, {18,29}, {8,42}, {18,36}, {5,54}, {3,38}, {16,59}, {9,46}, {24,40}, {14,35}, {22,59}, {7,60}, {3,31}, {13,49}, {17,57}, {11,42}, {7,53}, {11,60}, {4,32}, {2,44}, {8,56}, {19,27}, {23,39}, {6,36}, {16,29}, {11,36}, {13,48}, {9,51}, {22,26}, {16,57}, {10,36}, {15,37}, {20,51}, {10,38}, {22,56}, {8,60}, {9,55}, {13,25}, {21,31}, {18,38}, {7,46}, {8,45}, {11,58}, {3,29}, {12,55}, {22,29}, {20,54}, {20,31}, {3,25}, {23,48}, {11,34}, {22,30}, {15,58}, {12,30}, {7,50}, {4,57}, {15,53}, {13,56}, {1,25}, {23,56}, {8,53}, {3,32}, {6,45}, {20,44}, {17,44}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {10,30}, {5,40}, {23,47}, {12,45}, {4,34}, {10,25}, {17,38}, {6,31}, {11,32}, {12,25}, {11,54}, {14,43}, {14,37}, {1,44}, {15,49}, {19,44}, {18,31}, {16,31}, {23,59}, {7,39}, {3,41}, {4,36}, {1,32}, {22,52}, {24,29}, {21,39}, {20,60}, {6,43}, {22,39}, {24,51}, {6,57}, {10,28}, {5,31}, {20,48}, {3,60}, {16,44}, {2,41}, {3,53}, {14,55}, {11,56}, {14,47}, {2,28}, {21,52}, {22,38}, {14,58}, {8,27}, {21,46}, {23,52}, {4,55}, {16,36}, {10,50}, {14,51}, {19,33}, {16,53}, {19,43}, {7,55}, {20,57}, {15,29}, {14,59}, {19,60}, {8,43}, {2,31}, {18,27}, {21,33}, {2,53}, {7,47}, {16,50}, {10,41}, {14,30}, {21,34}, {12,33}, {12,58}, {6,54}, {18,49}, {15,55}, {15,48}, {12,60}, {11,41}, {9,50}, {22,51}, {13,35}, {21,43}, {21,27}, {2,50}, {6,41}, {17,40}, {24,44}, {6,28}, {21,48}, {4,35}, {15,51}, {14,25}, {5,49}, {20,34}, {1,50}, {23,33}, {10,34}, {17,53}, {17,27}, {10,45}, {17,45}, {18,50}, {16,39}, {1,28}, {3,27}, {9,27}, {2,38}, {12,32}, {6,55}, {9,49}, {7,43}, {18,40}, {11,55}, {19,51}, {24,42}, {1,27}, {22,54}, {12,54}, {14,53}, {1,46}, {3,37}, {8,39}, {9,42}, {9,34}, {24,33}, {13,46}, {6,35}, {17,32}, {11,50}, {13,52}, {21,26}, {1,37}, {1,58}, {8,25}, {16,32}, {4,48}, {7,57}, {11,26}, {19,54}, {2,58}, {5,30} }; // ETB60.155 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][154]:={ {24,34}, {18,45}, {6,52}, {7,48}, {11,40}, {10,37}, {15,38}, {15,59}, {14,36}, {6,25}, {5,43}, {11,59}, {8,51}, {5,45}, {2,60}, {8,26}, {13,37}, {1,40}, {17,42}, {13,39}, {15,54}, {16,58}, {20,46}, {16,55}, {24,54}, {24,36}, {11,53}, {14,56}, {10,39}, {3,39}, {21,28}, {4,51}, {7,30}, {8,31}, {13,43}, {24,48}, {24,28}, {14,44}, {4,38}, {3,49}, {10,42}, {11,27}, {24,58}, {20,38}, {19,40}, {2,34}, {22,55}, {22,37}, {12,28}, {4,43}, {18,32}, {1,52}, {7,59}, {9,33}, {8,46}, {9,57}, {5,41}, {17,39}, {6,60}, {8,52}, {12,38}, {20,49}, {13,30}, {23,54}, {22,42}, {19,48}, {12,40}, {3,52}, {13,47}, {18,58}, {19,52}, {5,37}, {13,55}, {9,56}, {23,42}, {12,37}, {2,56}, {10,35}, {6,44}, {13,58}, {18,57}, {17,47}, {4,49}, {17,36}, {5,34}, {18,47}, {20,36}, {20,42}, {22,34}, {24,37}, {9,36}, {9,29}, {7,54}, {6,51}, {16,59}, {3,43}, {18,56}, {14,46}, {24,40}, {7,60}, {18,55}, {1,39}, {7,37}, {17,57}, {5,53}, {11,42}, {2,30}, {7,53}, {9,58}, {19,49}, {14,60}, {20,25}, {2,44}, {19,27}, {23,40}, {18,51}, {24,53}, {16,29}, {3,30}, {22,48}, {10,57}, {21,47}, {2,51}, {20,51}, {15,37}, {10,38}, {13,25}, {21,31}, {19,30}, {10,55}, {4,41}, {8,41}, {9,26}, {18,38}, {8,45}, {3,29}, {17,31}, {1,41}, {4,45}, {1,59}, {21,57}, {20,54}, {11,44}, {13,45}, {8,59}, {19,45}, {15,60}, {16,56}, {6,30}, {7,50}, {4,33}, {7,34}, {4,57}, {10,29}, {24,25}, {17,46}, {23,51}, {22,31}, {22,50}, {23,35}, {19,55}, {14,27}, {7,28}, {15,46}, {21,58}, {16,30}, {4,34}, {15,35}, {11,32}, {22,53}, {17,52}, {21,32}, {16,26}, {22,57}, {14,43}, {1,44}, {13,38}, {18,31}, {1,48}, {16,31}, {16,45}, {22,41}, {15,39}, {4,29}, {1,32}, {20,60}, {6,43}, {3,60}, {7,29}, {11,56}, {14,47}, {18,30}, {2,28}, {8,29}, {21,52}, {13,44}, {24,49}, {23,52}, {5,46}, {6,47}, {3,48}, {14,26}, {1,45}, {10,50}, {3,50}, {19,39}, {9,28}, {16,53}, {15,29}, {4,46}, {1,33}, {21,33}, {12,36}, {16,27}, {12,44}, {19,25}, {10,41}, {23,55}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {12,58}, {5,47}, {21,35}, {3,57}, {11,41}, {17,60}, {6,26}, {15,42}, {13,35}, {2,50}, {23,49}, {6,28}, {19,58}, {21,51}, {14,25}, {20,34}, {14,42}, {17,27}, {8,35}, {2,40}, {8,54}, {12,59}, {16,54}, {20,56}, {23,25}, {3,27}, {9,27}, {2,38}, {2,59}, {23,50}, {12,32}, {15,36}, {10,43}, {21,36}, {15,31}, {9,49}, {11,55}, {20,40}, {1,27}, {5,44}, {5,25}, {9,53}, {9,43}, {22,47}, {14,53}, {1,46}, {22,32}, {23,41}, {24,33}, {12,35}, {6,35}, {17,32}, {11,50}, {23,26}, {6,50}, {21,26}, {2,32}, {18,34}, {11,26}, {19,54}, {17,48}, {5,48}, {5,33}, {4,56}, {10,49} }; // ETB60.156 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 576 EdgesBipt[60][155]:={ {24,34}, {10,37}, {16,47}, {15,38}, {5,56}, {23,53}, {5,45}, {8,26}, {1,40}, {13,39}, {11,43}, {14,50}, {5,57}, {10,33}, {11,57}, {24,32}, {21,41}, {17,56}, {16,37}, {3,39}, {15,56}, {21,28}, {4,51}, {7,30}, {20,52}, {2,46}, {6,56}, {13,43}, {14,29}, {23,44}, {24,28}, {24,56}, {4,38}, {15,57}, {24,58}, {2,34}, {22,55}, {19,31}, {21,40}, {18,32}, {1,52}, {16,48}, {2,52}, {4,30}, {20,43}, {8,46}, {9,57}, {6,60}, {16,60}, {20,49}, {17,59}, {12,42}, {23,36}, {11,39}, {22,42}, {7,33}, {2,48}, {15,30}, {18,58}, {20,39}, {19,52}, {5,37}, {1,29}, {23,42}, {12,37}, {16,43}, {10,35}, {15,45}, {18,39}, {24,26}, {20,55}, {13,26}, {17,36}, {2,29}, {18,46}, {20,36}, {8,49}, {22,34}, {9,36}, {6,34}, {9,29}, {9,39}, {7,54}, {10,59}, {16,59}, {19,46}, {18,56}, {5,28}, {20,41}, {14,46}, {14,35}, {3,47}, {1,42}, {7,60}, {19,38}, {12,27}, {18,55}, {1,39}, {13,49}, {7,37}, {5,53}, {15,50}, {19,49}, {8,48}, {14,54}, {4,32}, {4,60}, {22,49}, {2,44}, {1,30}, {12,47}, {23,40}, {1,55}, {13,48}, {3,55}, {22,26}, {2,51}, {10,58}, {11,33}, {13,25}, {17,51}, {21,31}, {19,30}, {4,41}, {9,38}, {24,55}, {9,26}, {21,37}, {11,58}, {13,36}, {21,57}, {12,41}, {20,31}, {4,47}, {16,56}, {15,58}, {6,30}, {4,33}, {10,44}, {10,29}, {18,25}, {24,25}, {23,51}, {22,31}, {22,50}, {23,56}, {8,53}, {3,32}, {14,27}, {18,44}, {6,45}, {17,44}, {19,41}, {13,29}, {8,34}, {15,46}, {5,40}, {21,58}, {4,34}, {17,38}, {6,31}, {11,32}, {22,53}, {9,52}, {11,54}, {10,52}, {19,50}, {13,57}, {14,37}, {1,44}, {13,38}, {24,35}, {7,49}, {24,43}, {16,31}, {16,45}, {3,41}, {22,41}, {15,39}, {9,44}, {22,52}, {4,59}, {20,60}, {10,28}, {5,31}, {17,25}, {20,48}, {19,34}, {21,49}, {7,40}, {12,50}, {3,53}, {1,60}, {23,37}, {7,29}, {18,30}, {2,28}, {8,29}, {23,57}, {21,52}, {14,58}, {2,45}, {5,46}, {6,47}, {3,48}, {16,36}, {1,45}, {23,32}, {19,59}, {11,47}, {14,59}, {18,27}, {21,33}, {1,33}, {3,54}, {12,36}, {16,27}, {2,53}, {4,42}, {12,53}, {14,30}, {3,28}, {5,47}, {20,27}, {17,34}, {15,47}, {14,49}, {7,51}, {5,51}, {11,41}, {17,60}, {7,25}, {9,50}, {6,26}, {21,43}, {7,42}, {24,44}, {19,58}, {6,42}, {21,51}, {14,25}, {13,54}, {11,28}, {16,35}, {8,55}, {10,27}, {3,40}, {13,60}, {8,35}, {10,45}, {8,54}, {9,45}, {12,59}, {18,50}, {23,25}, {3,27}, {2,38}, {2,59}, {23,50}, {12,32}, {22,35}, {10,43}, {15,31}, {6,55}, {8,28}, {18,40}, {19,51}, {20,40}, {1,27}, {12,54}, {9,53}, {15,26}, {22,36}, {9,42}, {24,33}, {12,35}, {6,35}, {17,32}, {17,43}, {8,25}, {7,57}, {6,33}, {11,26}, {3,46}, {17,48}, {5,48}, {4,54}, {11,38} }; // ETB60.157 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 9216 EdgesBipt[60][156]:={ {6,52}, {19,28}, {10,37}, {15,38}, {15,59}, {8,57}, {14,36}, {11,49}, {5,59}, {23,53}, {11,59}, {19,57}, {8,51}, {1,49}, {1,40}, {14,38}, {17,33}, {20,46}, {14,31}, {15,27}, {16,55}, {21,41}, {11,53}, {14,56}, {14,45}, {6,48}, {3,39}, {21,28}, {16,28}, {4,37}, {13,43}, {24,48}, {6,58}, {14,57}, {13,40}, {6,32}, {4,38}, {11,35}, {11,29}, {10,56}, {15,57}, {10,42}, {24,58}, {20,38}, {20,26}, {22,55}, {22,37}, {2,52}, {4,30}, {9,33}, {8,46}, {9,57}, {5,41}, {17,39}, {6,60}, {16,60}, {20,49}, {17,59}, {23,54}, {4,58}, {6,39}, {11,39}, {6,49}, {19,48}, {12,40}, {2,48}, {15,30}, {18,58}, {22,25}, {19,52}, {21,50}, {13,55}, {18,35}, {9,35}, {1,36}, {1,29}, {2,56}, {24,26}, {20,55}, {12,52}, {18,47}, {14,32}, {20,36}, {24,37}, {18,29}, {6,34}, {9,39}, {18,26}, {5,54}, {6,51}, {3,43}, {14,46}, {9,59}, {7,32}, {19,56}, {3,31}, {19,47}, {12,27}, {13,49}, {6,27}, {7,53}, {5,53}, {11,42}, {9,58}, {5,35}, {15,50}, {3,36}, {8,48}, {2,44}, {8,56}, {12,47}, {23,40}, {1,55}, {18,51}, {3,55}, {10,36}, {15,37}, {20,51}, {10,38}, {22,56}, {13,25}, {21,31}, {11,48}, {10,55}, {8,47}, {17,54}, {8,45}, {4,45}, {1,51}, {13,53}, {21,57}, {12,41}, {20,31}, {24,39}, {21,42}, {11,46}, {16,56}, {22,30}, {15,58}, {2,43}, {12,30}, {4,33}, {7,50}, {22,44}, {4,57}, {9,31}, {17,46}, {1,25}, {13,50}, {22,45}, {16,41}, {13,29}, {8,34}, {10,30}, {5,40}, {4,50}, {21,58}, {23,47}, {10,25}, {11,54}, {3,42}, {23,27}, {24,35}, {10,54}, {21,59}, {19,53}, {19,44}, {7,49}, {9,41}, {16,31}, {16,45}, {23,59}, {3,41}, {23,34}, {9,44}, {4,59}, {24,29}, {21,39}, {7,52}, {19,29}, {6,37}, {24,51}, {19,34}, {3,60}, {16,44}, {4,44}, {24,60}, {7,40}, {20,32}, {2,26}, {18,41}, {18,30}, {14,47}, {8,29}, {22,38}, {8,36}, {13,44}, {24,49}, {5,46}, {14,26}, {1,45}, {20,50}, {23,32}, {14,51}, {9,28}, {19,43}, {7,55}, {18,52}, {3,56}, {2,31}, {3,54}, {2,53}, {19,25}, {5,26}, {5,29}, {4,25}, {3,28}, {7,31}, {12,33}, {5,47}, {12,58}, {2,57}, {17,34}, {22,33}, {12,60}, {13,34}, {24,52}, {9,50}, {15,42}, {1,34}, {21,43}, {21,27}, {12,34}, {23,30}, {4,35}, {23,46}, {7,26}, {20,45}, {1,50}, {10,60}, {11,37}, {23,33}, {2,47}, {16,35}, {10,27}, {16,33}, {17,53}, {17,27}, {9,45}, {16,54}, {17,37}, {16,39}, {13,28}, {1,28}, {3,27}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {22,35}, {10,43}, {21,36}, {7,44}, {8,28}, {7,43}, {18,40}, {24,42}, {20,40}, {18,60}, {22,54}, {1,46}, {23,41}, {15,43}, {17,32}, {22,60}, {13,52}, {14,48}, {8,25}, {18,42}, {6,33}, {2,32}, {12,51}, {17,49}, {11,26}, {17,48}, {15,25}, {5,30} }; // ETB60.158 // Bipartite(24,36) Valencies [12,8] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 319479999370622926848000000 EdgesBipt[60][157]:={ {15,33}, {16,47}, {8,57}, {6,25}, {23,29}, {19,26}, {4,28}, {3,58}, {5,59}, {23,53}, {11,59}, {8,51}, {8,26}, {22,40}, {1,49}, {13,37}, {14,38}, {17,42}, {14,50}, {16,58}, {15,27}, {24,54}, {24,36}, {11,53}, {14,56}, {14,45}, {6,48}, {19,37}, {3,39}, {21,28}, {16,28}, {4,40}, {13,43}, {24,48}, {14,57}, {14,44}, {2,33}, {17,35}, {11,35}, {11,29}, {15,57}, {10,47}, {20,38}, {20,26}, {19,31}, {12,48}, {21,40}, {9,33}, {9,57}, {5,41}, {6,60}, {17,59}, {23,54}, {4,58}, {12,42}, {23,36}, {6,49}, {12,31}, {3,52}, {5,60}, {24,30}, {20,39}, {13,55}, {24,31}, {23,42}, {12,37}, {16,34}, {2,56}, {15,45}, {10,35}, {7,56}, {8,38}, {13,26}, {17,47}, {17,36}, {1,38}, {1,26}, {14,32}, {16,40}, {22,34}, {24,37}, {22,58}, {1,43}, {12,49}, {9,39}, {18,36}, {5,54}, {23,60}, {10,59}, {16,59}, {15,28}, {2,39}, {9,46}, {22,59}, {7,32}, {19,56}, {19,38}, {1,31}, {3,51}, {18,55}, {13,49}, {7,37}, {11,42}, {5,53}, {9,58}, {5,35}, {19,49}, {17,29}, {11,60}, {2,44}, {21,45}, {8,56}, {8,50}, {6,36}, {1,55}, {4,53}, {16,29}, {11,36}, {9,51}, {14,33}, {2,51}, {20,51}, {15,34}, {10,58}, {10,46}, {13,25}, {14,39}, {11,48}, {4,41}, {24,55}, {17,54}, {8,45}, {12,55}, {21,57}, {22,29}, {18,54}, {4,47}, {23,48}, {15,58}, {2,27}, {12,30}, {6,30}, {7,50}, {10,29}, {18,25}, {15,52}, {24,25}, {13,56}, {1,25}, {13,50}, {23,35}, {13,31}, {19,55}, {14,27}, {16,41}, {20,44}, {15,46}, {17,30}, {21,58}, {23,47}, {4,34}, {6,31}, {22,53}, {9,52}, {12,25}, {11,54}, {15,40}, {19,50}, {10,52}, {1,44}, {13,38}, {19,44}, {18,31}, {7,49}, {24,43}, {23,59}, {22,41}, {15,39}, {4,29}, {1,32}, {22,52}, {4,59}, {21,39}, {6,43}, {6,37}, {8,32}, {10,28}, {24,60}, {17,41}, {12,43}, {20,32}, {2,26}, {10,40}, {18,30}, {21,52}, {13,44}, {24,49}, {8,27}, {21,46}, {2,45}, {3,33}, {13,32}, {14,26}, {20,50}, {14,51}, {11,30}, {9,28}, {3,34}, {16,53}, {19,43}, {7,55}, {20,57}, {16,46}, {11,47}, {4,46}, {21,33}, {12,36}, {3,45}, {19,25}, {5,29}, {10,41}, {3,28}, {21,34}, {7,31}, {8,33}, {5,47}, {2,57}, {20,27}, {6,54}, {3,57}, {18,49}, {20,33}, {12,60}, {11,41}, {17,60}, {7,25}, {21,27}, {2,50}, {10,53}, {8,44}, {23,30}, {6,42}, {4,35}, {21,51}, {19,32}, {18,43}, {15,51}, {1,56}, {7,26}, {20,45}, {1,50}, {16,35}, {10,34}, {17,53}, {3,40}, {9,45}, {22,46}, {20,56}, {16,52}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {22,35}, {6,55}, {7,44}, {7,43}, {9,40}, {24,42}, {18,60}, {12,54}, {4,52}, {22,47}, {8,39}, {23,41}, {5,36}, {9,34}, {22,28}, {1,37}, {18,42}, {2,32}, {18,48}, {3,46}, {17,48}, {5,48}, {18,37}, {5,30} }; // ETB60.159 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36349724372835319676928 EdgesBipt[60][158]:={ {11,40}, {10,37}, {16,47}, {15,59}, {14,36}, {11,49}, {9,32}, {5,38}, {23,29}, {5,56}, {19,26}, {4,28}, {8,51}, {2,60}, {17,42}, {14,50}, {17,33}, {21,30}, {16,55}, {21,41}, {17,56}, {14,45}, {6,48}, {3,39}, {16,37}, {21,28}, {16,28}, {1,35}, {15,41}, {4,37}, {13,43}, {24,48}, {6,58}, {13,27}, {2,33}, {4,38}, {11,29}, {10,56}, {15,57}, {24,58}, {10,47}, {22,55}, {22,37}, {12,48}, {4,43}, {1,52}, {15,32}, {23,38}, {7,45}, {9,57}, {23,31}, {12,26}, {7,27}, {6,39}, {6,49}, {12,31}, {12,40}, {5,60}, {24,30}, {15,30}, {18,58}, {22,25}, {19,52}, {21,50}, {18,35}, {16,25}, {24,31}, {1,36}, {23,42}, {16,34}, {23,58}, {16,43}, {18,39}, {6,44}, {24,26}, {18,57}, {13,26}, {17,47}, {1,26}, {14,32}, {2,36}, {20,36}, {20,42}, {22,34}, {1,43}, {12,49}, {9,39}, {11,51}, {8,42}, {18,26}, {7,54}, {22,43}, {23,60}, {15,28}, {21,55}, {20,41}, {9,46}, {9,59}, {24,40}, {7,53}, {11,42}, {15,50}, {17,29}, {11,60}, {14,54}, {14,60}, {19,27}, {8,50}, {23,40}, {24,53}, {16,29}, {3,30}, {3,55}, {14,33}, {2,51}, {20,51}, {15,37}, {10,38}, {10,46}, {11,33}, {22,56}, {8,60}, {9,55}, {13,25}, {17,51}, {17,58}, {10,55}, {8,41}, {21,37}, {8,45}, {3,59}, {11,58}, {17,31}, {13,36}, {13,53}, {21,57}, {22,29}, {20,54}, {4,47}, {13,45}, {24,39}, {8,59}, {7,35}, {19,45}, {16,56}, {2,27}, {12,30}, {6,30}, {7,34}, {10,29}, {23,51}, {1,25}, {23,56}, {9,30}, {3,32}, {14,27}, {18,44}, {15,46}, {5,40}, {23,47}, {4,34}, {10,25}, {17,38}, {6,31}, {21,32}, {10,52}, {1,44}, {24,35}, {21,59}, {19,53}, {19,44}, {18,31}, {9,41}, {20,59}, {3,41}, {15,39}, {4,29}, {1,54}, {22,52}, {21,39}, {7,52}, {20,60}, {8,32}, {6,57}, {10,28}, {5,31}, {19,34}, {2,54}, {2,41}, {20,32}, {11,56}, {18,30}, {22,38}, {8,36}, {13,44}, {24,49}, {8,27}, {21,46}, {2,45}, {4,55}, {3,48}, {1,45}, {20,50}, {14,51}, {3,50}, {9,28}, {19,43}, {16,46}, {11,47}, {14,59}, {4,46}, {16,38}, {5,58}, {12,44}, {19,25}, {24,57}, {5,29}, {12,53}, {4,25}, {3,28}, {8,33}, {12,39}, {12,58}, {5,47}, {20,27}, {3,57}, {18,49}, {15,55}, {11,31}, {20,33}, {15,48}, {1,53}, {19,35}, {5,51}, {13,34}, {17,60}, {7,25}, {9,50}, {6,26}, {1,34}, {13,35}, {2,50}, {23,49}, {17,40}, {24,44}, {19,36}, {21,48}, {18,53}, {5,49}, {13,54}, {7,26}, {20,45}, {23,33}, {14,42}, {10,34}, {8,54}, {14,41}, {12,57}, {22,46}, {16,52}, {5,42}, {2,59}, {10,43}, {6,53}, {7,44}, {7,43}, {18,40}, {1,27}, {4,52}, {22,47}, {3,37}, {12,35}, {7,36}, {6,35}, {13,52}, {22,28}, {2,42}, {2,32}, {18,48}, {17,49}, {3,46}, {19,54}, {9,48}, {5,33}, {4,56}, {11,38}, {9,37}, {6,40} }; // ETB60.160 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 27390260577042432000000 EdgesBipt[60][159]:={ {24,34}, {15,33}, {18,45}, {7,48}, {11,49}, {6,59}, {11,25}, {4,28}, {5,45}, {8,26}, {1,49}, {13,37}, {14,38}, {11,43}, {14,50}, {17,33}, {16,58}, {5,57}, {10,33}, {21,30}, {15,27}, {21,41}, {14,56}, {21,54}, {10,39}, {3,39}, {19,37}, {16,28}, {1,35}, {7,30}, {4,40}, {2,46}, {13,43}, {23,44}, {24,28}, {14,44}, {3,49}, {21,53}, {10,56}, {15,57}, {6,29}, {24,58}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {16,42}, {16,48}, {2,52}, {4,30}, {8,30}, {23,38}, {12,46}, {13,59}, {24,46}, {17,39}, {16,60}, {23,31}, {4,58}, {6,39}, {10,26}, {19,48}, {12,40}, {13,47}, {24,47}, {13,55}, {18,35}, {23,43}, {9,35}, {1,29}, {19,42}, {16,34}, {2,56}, {15,45}, {18,39}, {8,38}, {18,57}, {9,47}, {12,52}, {5,34}, {18,47}, {14,32}, {13,41}, {20,36}, {16,40}, {20,42}, {10,51}, {18,29}, {9,36}, {1,43}, {9,29}, {8,42}, {7,54}, {18,33}, {6,51}, {5,27}, {18,59}, {3,43}, {5,28}, {24,41}, {14,46}, {9,59}, {24,40}, {7,60}, {1,31}, {3,31}, {3,51}, {13,49}, {7,37}, {6,27}, {17,57}, {14,34}, {19,49}, {8,48}, {4,60}, {2,44}, {8,56}, {8,50}, {14,28}, {12,47}, {1,55}, {18,51}, {24,53}, {3,55}, {1,47}, {10,57}, {21,47}, {22,26}, {15,37}, {10,38}, {22,56}, {8,60}, {13,25}, {17,51}, {17,58}, {19,30}, {1,41}, {1,59}, {13,53}, {9,54}, {12,41}, {20,54}, {11,44}, {3,25}, {24,59}, {21,42}, {17,28}, {5,52}, {22,44}, {10,44}, {17,46}, {1,25}, {22,50}, {23,56}, {20,30}, {13,31}, {9,30}, {5,39}, {19,55}, {22,45}, {6,45}, {20,44}, {13,29}, {14,52}, {5,40}, {16,30}, {21,60}, {4,34}, {12,29}, {11,32}, {17,52}, {22,57}, {15,49}, {24,35}, {21,59}, {14,40}, {7,49}, {9,41}, {4,36}, {15,39}, {24,29}, {20,60}, {8,32}, {22,39}, {6,57}, {20,48}, {20,32}, {2,26}, {18,41}, {23,37}, {11,56}, {2,28}, {22,38}, {8,36}, {14,58}, {5,46}, {6,47}, {3,33}, {16,36}, {14,26}, {20,50}, {10,50}, {23,32}, {19,43}, {7,55}, {16,46}, {4,46}, {19,60}, {18,27}, {5,58}, {3,45}, {19,25}, {4,42}, {12,53}, {23,55}, {7,31}, {12,58}, {17,34}, {3,57}, {21,35}, {15,55}, {22,33}, {11,31}, {1,53}, {5,51}, {24,52}, {7,25}, {22,27}, {22,51}, {13,35}, {7,42}, {2,50}, {6,41}, {23,49}, {21,29}, {17,40}, {12,34}, {9,60}, {8,44}, {19,36}, {21,48}, {15,51}, {18,53}, {11,37}, {10,27}, {17,27}, {10,45}, {2,40}, {8,54}, {17,45}, {12,59}, {16,54}, {20,56}, {23,25}, {16,52}, {3,27}, {2,38}, {23,50}, {21,36}, {15,31}, {6,53}, {7,43}, {11,55}, {9,53}, {4,52}, {3,37}, {22,32}, {9,42}, {15,43}, {10,32}, {12,35}, {7,36}, {6,35}, {11,50}, {23,26}, {1,37}, {4,48}, {6,33}, {2,32}, {11,26}, {9,48}, {19,54}, {15,25}, {2,58}, {5,33}, {4,54}, {11,38} }; // ETB60.161 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19967499960663932928 EdgesBipt[60][160]:={ {18,45}, {6,52}, {11,49}, {11,25}, {4,28}, {3,58}, {5,45}, {8,26}, {22,40}, {1,49}, {13,37}, {14,38}, {17,42}, {13,39}, {15,54}, {14,50}, {2,35}, {17,33}, {5,57}, {20,46}, {21,30}, {11,57}, {15,27}, {24,32}, {21,41}, {14,56}, {21,54}, {3,39}, {19,37}, {20,58}, {16,28}, {1,35}, {15,41}, {4,40}, {2,46}, {6,56}, {13,43}, {13,27}, {10,48}, {24,28}, {14,44}, {6,32}, {24,56}, {4,38}, {21,53}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {18,32}, {16,48}, {23,45}, {7,59}, {13,59}, {8,46}, {16,60}, {23,54}, {7,27}, {23,36}, {10,26}, {12,31}, {12,40}, {13,47}, {5,60}, {15,30}, {5,37}, {13,55}, {24,31}, {24,45}, {20,35}, {23,42}, {13,51}, {2,56}, {6,44}, {8,38}, {18,57}, {12,52}, {17,36}, {14,32}, {16,40}, {1,43}, {9,29}, {9,39}, {18,33}, {5,54}, {23,60}, {18,56}, {14,46}, {9,46}, {24,40}, {14,35}, {1,31}, {19,47}, {3,51}, {18,55}, {1,39}, {13,49}, {7,37}, {17,57}, {11,42}, {9,58}, {14,34}, {19,49}, {11,60}, {4,60}, {2,44}, {8,56}, {19,27}, {8,50}, {12,56}, {1,55}, {4,53}, {16,29}, {11,36}, {3,30}, {9,51}, {1,47}, {22,48}, {22,26}, {10,36}, {10,38}, {15,34}, {11,33}, {13,25}, {11,48}, {8,47}, {4,41}, {24,55}, {17,54}, {3,29}, {12,55}, {1,51}, {1,59}, {22,29}, {9,54}, {8,59}, {23,48}, {21,42}, {7,35}, {15,58}, {10,29}, {15,53}, {1,25}, {22,50}, {13,31}, {9,30}, {19,55}, {18,44}, {16,41}, {6,45}, {20,44}, {8,34}, {15,46}, {17,30}, {20,47}, {4,50}, {21,58}, {12,45}, {6,31}, {22,53}, {16,26}, {11,54}, {10,52}, {3,42}, {18,31}, {7,49}, {24,43}, {9,41}, {20,59}, {7,39}, {3,41}, {4,36}, {15,39}, {22,41}, {4,29}, {22,52}, {21,39}, {6,43}, {8,32}, {6,57}, {10,28}, {17,25}, {12,43}, {20,32}, {2,26}, {3,53}, {10,40}, {23,37}, {14,47}, {23,57}, {22,38}, {14,58}, {21,46}, {16,36}, {14,26}, {20,50}, {10,50}, {19,59}, {11,30}, {19,39}, {3,34}, {16,53}, {19,43}, {7,55}, {18,28}, {15,29}, {14,59}, {18,52}, {16,38}, {11,45}, {3,54}, {8,58}, {12,44}, {19,25}, {7,47}, {24,57}, {16,50}, {10,41}, {21,34}, {7,31}, {12,33}, {7,51}, {19,35}, {24,52}, {17,60}, {7,25}, {15,42}, {13,35}, {21,27}, {2,50}, {23,49}, {10,53}, {21,29}, {24,44}, {8,44}, {23,30}, {6,28}, {21,51}, {18,43}, {15,51}, {5,49}, {20,34}, {10,60}, {11,37}, {23,33}, {2,47}, {8,35}, {17,45}, {4,26}, {12,57}, {17,37}, {20,56}, {23,25}, {16,52}, {3,27}, {9,27}, {5,42}, {2,38}, {2,59}, {12,32}, {6,55}, {7,43}, {18,40}, {19,51}, {1,27}, {5,25}, {9,53}, {4,52}, {22,36}, {9,42}, {5,36}, {9,34}, {24,33}, {22,60}, {22,28}, {1,37}, {4,48}, {2,32}, {6,33}, {17,49}, {3,46}, {17,48}, {5,48}, {5,33}, {2,58}, {5,30}, {6,40} }; // ETB60.162 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4674604471815241728 EdgesBipt[60][161]:={ {15,33}, {7,48}, {6,38}, {14,36}, {6,59}, {23,29}, {16,51}, {4,28}, {19,57}, {22,40}, {1,49}, {1,40}, {15,54}, {14,50}, {8,40}, {5,57}, {20,46}, {15,27}, {16,55}, {24,32}, {14,45}, {16,37}, {3,39}, {20,37}, {20,58}, {16,28}, {4,51}, {7,30}, {8,31}, {20,52}, {4,37}, {6,56}, {24,48}, {13,40}, {6,32}, {17,35}, {21,53}, {11,29}, {15,57}, {6,29}, {11,27}, {24,58}, {2,34}, {2,25}, {12,48}, {16,42}, {18,32}, {2,52}, {23,45}, {23,38}, {9,33}, {20,43}, {8,46}, {8,37}, {17,39}, {8,52}, {16,60}, {20,49}, {23,54}, {23,36}, {10,26}, {12,31}, {19,48}, {12,40}, {23,28}, {17,26}, {13,47}, {24,30}, {15,30}, {19,52}, {5,37}, {24,50}, {18,35}, {24,31}, {13,42}, {9,35}, {1,29}, {13,51}, {15,45}, {10,35}, {7,56}, {6,44}, {13,58}, {20,55}, {18,47}, {1,38}, {14,32}, {2,36}, {8,49}, {18,29}, {22,58}, {12,49}, {18,26}, {16,59}, {18,59}, {18,56}, {5,28}, {24,41}, {24,40}, {1,42}, {19,56}, {19,38}, {1,31}, {19,47}, {3,51}, {13,49}, {17,57}, {5,53}, {5,35}, {14,34}, {3,36}, {14,54}, {20,25}, {4,32}, {4,60}, {22,49}, {11,36}, {3,30}, {9,51}, {1,47}, {22,26}, {10,36}, {10,58}, {21,25}, {19,30}, {4,41}, {9,26}, {18,38}, {1,51}, {12,41}, {20,31}, {24,39}, {17,55}, {24,59}, {21,42}, {17,28}, {15,60}, {11,46}, {2,43}, {2,27}, {12,30}, {4,33}, {22,44}, {7,34}, {10,31}, {10,44}, {17,46}, {13,56}, {22,31}, {23,56}, {13,31}, {5,39}, {18,44}, {14,27}, {22,45}, {16,41}, {17,44}, {13,29}, {14,52}, {8,34}, {9,25}, {17,30}, {4,50}, {23,47}, {21,60}, {22,53}, {9,52}, {11,54}, {14,43}, {3,42}, {13,38}, {23,27}, {10,54}, {7,39}, {15,39}, {9,44}, {4,59}, {7,52}, {19,29}, {19,34}, {3,60}, {2,54}, {2,41}, {12,50}, {18,41}, {10,40}, {1,60}, {23,37}, {7,29}, {11,56}, {21,52}, {24,49}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {19,39}, {19,43}, {16,46}, {11,47}, {14,59}, {4,46}, {8,43}, {11,45}, {20,28}, {21,33}, {1,33}, {3,54}, {8,58}, {3,45}, {19,25}, {5,26}, {7,47}, {24,57}, {4,42}, {16,50}, {23,55}, {21,34}, {12,39}, {12,58}, {21,35}, {3,57}, {21,44}, {15,48}, {7,25}, {6,26}, {22,27}, {15,42}, {21,43}, {2,50}, {6,41}, {10,53}, {9,60}, {21,51}, {13,33}, {15,51}, {23,46}, {18,53}, {14,25}, {1,56}, {20,34}, {11,37}, {11,28}, {8,55}, {5,55}, {10,27}, {16,33}, {17,53}, {13,60}, {10,45}, {18,50}, {12,59}, {14,41}, {12,57}, {17,37}, {3,27}, {7,38}, {2,59}, {12,32}, {15,36}, {22,35}, {6,53}, {8,28}, {7,43}, {11,55}, {20,40}, {5,44}, {22,54}, {9,53}, {22,36}, {9,43}, {9,42}, {9,34}, {6,35}, {6,50}, {21,26}, {1,58}, {8,25}, {16,32}, {7,57}, {2,32}, {17,48}, {5,48}, {5,30}, {11,38}, {10,49} }; // ETB60.163 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3423782572130304 EdgesBipt[60][162]:={ {15,33}, {7,48}, {6,38}, {14,36}, {6,59}, {9,32}, {5,43}, {2,55}, {3,58}, {11,59}, {8,51}, {2,60}, {1,49}, {13,37}, {1,40}, {17,42}, {15,44}, {11,57}, {14,31}, {10,39}, {19,37}, {15,56}, {20,37}, {21,28}, {6,58}, {10,48}, {24,28}, {13,40}, {11,35}, {15,57}, {6,29}, {11,27}, {12,28}, {21,40}, {16,42}, {16,48}, {1,52}, {15,32}, {23,45}, {2,52}, {4,30}, {9,33}, {8,37}, {9,57}, {16,60}, {21,38}, {7,41}, {20,49}, {13,30}, {23,54}, {11,39}, {10,26}, {12,31}, {19,48}, {12,40}, {2,48}, {18,58}, {20,39}, {5,37}, {24,47}, {21,50}, {18,35}, {9,56}, {24,31}, {13,42}, {20,35}, {23,42}, {6,46}, {15,45}, {7,56}, {13,26}, {12,52}, {5,34}, {18,47}, {1,38}, {18,46}, {1,26}, {2,36}, {8,49}, {10,51}, {22,34}, {18,29}, {22,58}, {6,34}, {11,51}, {18,26}, {5,54}, {18,59}, {3,43}, {24,41}, {2,39}, {24,40}, {1,42}, {7,32}, {19,56}, {7,60}, {3,31}, {13,49}, {7,37}, {7,53}, {11,42}, {19,49}, {14,60}, {20,25}, {4,60}, {1,30}, {21,45}, {8,56}, {14,28}, {12,47}, {23,39}, {24,53}, {4,53}, {16,29}, {3,55}, {22,48}, {22,26}, {16,57}, {10,36}, {2,51}, {20,51}, {10,38}, {15,34}, {10,58}, {10,46}, {11,33}, {13,25}, {17,58}, {14,39}, {8,47}, {4,41}, {9,38}, {24,55}, {9,26}, {18,38}, {17,54}, {17,31}, {4,45}, {12,55}, {21,57}, {12,41}, {3,44}, {8,59}, {17,55}, {24,59}, {2,43}, {15,58}, {2,27}, {4,33}, {4,57}, {17,46}, {23,51}, {1,25}, {22,50}, {13,50}, {23,35}, {3,32}, {14,27}, {16,41}, {20,44}, {19,41}, {14,52}, {15,46}, {17,30}, {20,47}, {23,47}, {16,30}, {12,29}, {9,52}, {21,32}, {11,54}, {14,43}, {13,38}, {23,27}, {24,35}, {19,53}, {19,44}, {14,40}, {7,49}, {24,43}, {16,45}, {20,59}, {23,59}, {4,36}, {4,29}, {9,44}, {1,54}, {24,29}, {19,29}, {8,32}, {22,39}, {5,31}, {17,25}, {12,43}, {20,32}, {18,41}, {14,55}, {7,29}, {2,28}, {23,57}, {21,52}, {22,38}, {8,27}, {5,46}, {6,47}, {3,33}, {16,36}, {10,50}, {14,51}, {11,30}, {9,28}, {3,34}, {16,53}, {11,47}, {19,60}, {3,56}, {2,31}, {11,45}, {21,33}, {5,58}, {3,45}, {19,25}, {4,42}, {12,53}, {20,27}, {3,57}, {17,34}, {15,55}, {21,44}, {24,52}, {7,25}, {9,50}, {6,26}, {22,27}, {22,51}, {6,41}, {8,44}, {19,36}, {23,30}, {19,32}, {18,53}, {5,49}, {13,54}, {1,50}, {10,60}, {23,33}, {5,55}, {10,27}, {10,34}, {16,33}, {8,35}, {2,40}, {21,56}, {9,45}, {12,59}, {18,50}, {16,54}, {22,46}, {17,37}, {13,28}, {1,28}, {20,56}, {5,42}, {15,31}, {6,53}, {7,44}, {9,40}, {5,25}, {22,36}, {8,39}, {15,43}, {12,35}, {7,36}, {6,35}, {22,60}, {13,52}, {17,43}, {6,50}, {21,26}, {14,48}, {1,37}, {8,25}, {4,48}, {18,34}, {17,49}, {3,46}, {5,30}, {4,54} }; // ETB60.164 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 427972821516288 EdgesBipt[60][163]:={ {7,48}, {8,57}, {5,38}, {16,51}, {19,26}, {5,43}, {3,58}, {19,57}, {1,49}, {13,37}, {14,38}, {15,44}, {11,43}, {14,50}, {2,35}, {8,40}, {10,33}, {11,57}, {24,54}, {2,49}, {15,56}, {1,35}, {4,51}, {15,41}, {8,31}, {20,52}, {6,56}, {24,28}, {6,32}, {4,38}, {10,56}, {10,42}, {6,29}, {10,47}, {12,28}, {2,25}, {18,32}, {16,48}, {15,32}, {2,52}, {23,45}, {8,30}, {7,59}, {20,43}, {13,59}, {7,45}, {5,41}, {8,52}, {16,60}, {23,31}, {12,42}, {6,39}, {23,36}, {22,42}, {7,33}, {19,48}, {12,40}, {17,26}, {13,47}, {24,30}, {23,43}, {12,37}, {23,58}, {10,35}, {18,39}, {6,44}, {13,58}, {20,55}, {5,50}, {12,52}, {20,42}, {24,37}, {18,29}, {9,36}, {12,49}, {9,39}, {8,42}, {6,51}, {23,60}, {10,59}, {3,43}, {18,56}, {5,28}, {9,46}, {24,40}, {14,35}, {22,59}, {7,60}, {19,38}, {3,31}, {19,47}, {12,27}, {13,49}, {6,27}, {5,53}, {9,58}, {17,29}, {11,60}, {4,60}, {14,28}, {18,51}, {4,53}, {16,29}, {11,36}, {3,55}, {9,51}, {1,47}, {10,57}, {15,34}, {11,33}, {22,56}, {21,25}, {13,25}, {11,48}, {4,41}, {21,37}, {8,45}, {11,58}, {17,31}, {3,29}, {1,59}, {18,54}, {20,54}, {20,31}, {3,44}, {24,39}, {23,48}, {17,55}, {11,34}, {17,28}, {7,35}, {19,45}, {11,46}, {22,30}, {15,58}, {5,52}, {12,30}, {6,30}, {7,50}, {22,44}, {10,44}, {24,25}, {15,53}, {13,56}, {1,25}, {20,30}, {3,32}, {18,44}, {22,45}, {16,41}, {14,52}, {9,25}, {15,46}, {10,30}, {5,40}, {4,50}, {21,58}, {21,60}, {17,38}, {17,52}, {16,26}, {12,25}, {19,50}, {22,57}, {14,37}, {1,44}, {10,54}, {14,40}, {3,41}, {23,34}, {4,36}, {4,29}, {1,32}, {21,39}, {24,27}, {24,51}, {5,31}, {21,49}, {17,41}, {2,26}, {3,53}, {17,50}, {18,41}, {18,30}, {14,47}, {2,28}, {23,57}, {13,44}, {24,49}, {21,46}, {16,36}, {13,32}, {14,26}, {19,59}, {19,33}, {3,34}, {16,53}, {4,27}, {20,57}, {15,29}, {14,59}, {19,60}, {8,43}, {3,56}, {16,38}, {11,45}, {20,28}, {18,27}, {16,27}, {5,26}, {7,47}, {2,37}, {5,29}, {16,50}, {23,55}, {21,34}, {8,33}, {12,39}, {6,54}, {15,55}, {22,33}, {14,49}, {11,31}, {20,33}, {19,35}, {13,34}, {24,52}, {1,34}, {13,35}, {21,27}, {2,50}, {6,41}, {17,40}, {9,60}, {19,36}, {6,42}, {21,48}, {21,51}, {23,46}, {18,53}, {14,25}, {1,56}, {7,26}, {20,45}, {23,33}, {2,47}, {8,55}, {5,55}, {17,53}, {10,45}, {2,40}, {8,54}, {4,26}, {16,39}, {9,27}, {7,38}, {2,38}, {2,59}, {22,35}, {21,36}, {15,31}, {6,53}, {8,28}, {9,49}, {11,55}, {24,42}, {20,40}, {22,54}, {12,54}, {22,47}, {1,46}, {22,32}, {9,34}, {15,43}, {13,46}, {10,32}, {4,39}, {7,36}, {17,43}, {1,37}, {1,58}, {18,42}, {4,48}, {7,57}, {12,51}, {3,46}, {9,48}, {9,37} }; // ETB60.165 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 427972821516288 EdgesBipt[60][164]:={ {18,45}, {10,37}, {15,38}, {15,59}, {8,57}, {9,32}, {5,56}, {19,26}, {5,43}, {3,58}, {5,59}, {3,26}, {22,40}, {1,49}, {13,37}, {11,43}, {3,35}, {20,46}, {10,33}, {24,36}, {14,56}, {2,49}, {17,56}, {6,48}, {20,37}, {20,58}, {5,32}, {7,30}, {6,56}, {24,48}, {14,29}, {10,48}, {24,28}, {14,44}, {6,32}, {17,35}, {4,38}, {6,29}, {11,27}, {12,28}, {22,37}, {2,25}, {12,48}, {16,42}, {18,32}, {2,52}, {4,30}, {7,59}, {8,30}, {8,46}, {8,37}, {6,60}, {20,49}, {23,31}, {17,59}, {23,54}, {7,27}, {11,39}, {12,31}, {12,40}, {22,25}, {9,56}, {24,31}, {23,43}, {9,35}, {1,29}, {19,42}, {23,42}, {2,56}, {23,58}, {6,44}, {13,58}, {18,57}, {13,26}, {17,47}, {9,47}, {12,52}, {2,29}, {1,38}, {1,26}, {14,32}, {13,41}, {8,49}, {20,42}, {18,29}, {9,36}, {11,51}, {9,39}, {8,42}, {7,54}, {18,33}, {18,36}, {3,38}, {3,43}, {18,56}, {5,28}, {9,59}, {24,40}, {3,47}, {19,38}, {3,31}, {19,47}, {12,27}, {13,49}, {11,42}, {5,35}, {15,50}, {20,25}, {22,49}, {2,44}, {19,27}, {14,28}, {6,36}, {23,39}, {4,53}, {16,29}, {3,55}, {9,51}, {10,57}, {22,48}, {21,47}, {16,57}, {10,36}, {15,34}, {13,25}, {19,30}, {4,41}, {24,55}, {8,45}, {3,59}, {11,58}, {17,31}, {1,41}, {4,45}, {12,55}, {13,53}, {20,54}, {24,39}, {17,55}, {11,34}, {17,28}, {7,35}, {11,46}, {5,52}, {15,58}, {4,33}, {7,50}, {4,57}, {23,51}, {1,25}, {13,50}, {20,30}, {18,44}, {22,45}, {16,41}, {6,45}, {17,44}, {13,29}, {14,52}, {8,34}, {15,46}, {5,40}, {4,50}, {16,30}, {21,60}, {10,25}, {15,35}, {17,52}, {21,32}, {16,26}, {11,54}, {10,52}, {19,50}, {22,57}, {14,37}, {13,38}, {23,27}, {21,59}, {14,40}, {24,43}, {16,45}, {7,39}, {23,34}, {4,29}, {9,44}, {22,52}, {21,39}, {24,27}, {24,51}, {6,57}, {10,28}, {5,31}, {24,60}, {2,41}, {12,43}, {18,41}, {10,40}, {2,28}, {19,59}, {11,30}, {3,50}, {19,39}, {3,34}, {16,53}, {20,57}, {16,38}, {8,58}, {12,36}, {2,53}, {7,47}, {2,37}, {4,42}, {16,50}, {23,55}, {8,33}, {12,39}, {5,47}, {21,35}, {15,55}, {15,47}, {14,49}, {7,51}, {22,33}, {11,31}, {20,33}, {21,44}, {1,53}, {19,35}, {12,60}, {13,34}, {24,52}, {1,34}, {21,27}, {7,42}, {6,41}, {17,40}, {9,60}, {23,30}, {21,48}, {21,51}, {23,46}, {18,53}, {14,25}, {20,34}, {7,26}, {20,45}, {1,50}, {10,60}, {5,55}, {16,33}, {10,45}, {2,40}, {8,54}, {21,56}, {14,41}, {4,26}, {16,54}, {9,27}, {7,38}, {21,36}, {15,31}, {6,53}, {11,55}, {19,51}, {18,60}, {5,44}, {15,26}, {22,36}, {14,53}, {1,46}, {15,43}, {13,46}, {17,32}, {22,60}, {17,43}, {22,28}, {1,37}, {1,58}, {8,25}, {6,33}, {2,32}, {18,48}, {12,51}, {3,46}, {19,54}, {9,48}, {4,54}, {10,49} }; // ETB60.166 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 154618822656 EdgesBipt[60][165]:={ {6,52}, {7,48}, {6,38}, {10,37}, {8,57}, {11,49}, {6,59}, {6,25}, {23,29}, {16,51}, {11,25}, {3,58}, {5,59}, {11,59}, {19,57}, {2,60}, {3,26}, {8,26}, {15,44}, {11,43}, {15,54}, {14,50}, {5,57}, {14,31}, {16,55}, {2,49}, {10,39}, {16,37}, {1,35}, {4,51}, {7,30}, {8,31}, {20,52}, {4,37}, {13,43}, {6,56}, {24,48}, {6,58}, {14,29}, {24,28}, {2,33}, {4,38}, {11,29}, {24,58}, {20,26}, {22,55}, {12,28}, {22,37}, {12,48}, {21,40}, {23,38}, {12,46}, {9,33}, {20,43}, {7,45}, {24,46}, {5,41}, {17,39}, {8,52}, {21,38}, {20,49}, {23,31}, {17,59}, {7,27}, {10,26}, {7,33}, {19,48}, {12,40}, {3,52}, {24,30}, {2,48}, {18,58}, {20,39}, {24,47}, {9,56}, {24,45}, {13,42}, {23,43}, {1,36}, {19,42}, {10,35}, {13,26}, {9,47}, {2,29}, {5,34}, {1,26}, {14,32}, {8,49}, {20,42}, {6,34}, {1,43}, {9,29}, {8,42}, {18,36}, {18,59}, {15,28}, {21,55}, {5,28}, {18,56}, {24,41}, {24,40}, {1,42}, {7,60}, {12,27}, {17,57}, {2,30}, {7,53}, {9,58}, {3,36}, {14,60}, {20,25}, {4,32}, {21,45}, {19,27}, {12,47}, {6,36}, {4,53}, {3,55}, {9,51}, {10,57}, {21,47}, {22,26}, {14,33}, {2,51}, {15,37}, {15,34}, {10,46}, {8,60}, {9,55}, {13,25}, {19,30}, {10,55}, {9,38}, {18,38}, {21,37}, {17,31}, {13,36}, {13,53}, {12,41}, {18,54}, {20,31}, {3,44}, {24,59}, {17,28}, {7,35}, {19,45}, {16,56}, {5,52}, {15,58}, {12,30}, {4,33}, {22,44}, {10,44}, {18,25}, {15,52}, {17,46}, {1,25}, {13,50}, {23,56}, {5,39}, {22,45}, {20,44}, {8,34}, {15,46}, {17,30}, {4,50}, {21,58}, {23,47}, {12,45}, {12,29}, {11,32}, {17,52}, {22,53}, {15,40}, {22,57}, {1,44}, {19,53}, {23,59}, {7,39}, {4,36}, {1,32}, {1,54}, {24,29}, {20,60}, {6,43}, {22,39}, {24,27}, {10,28}, {5,31}, {17,41}, {18,41}, {1,60}, {11,56}, {14,47}, {13,44}, {5,46}, {4,55}, {16,36}, {13,32}, {23,32}, {14,51}, {19,33}, {19,39}, {3,34}, {16,53}, {20,57}, {11,47}, {18,52}, {19,60}, {8,43}, {2,31}, {16,38}, {21,33}, {3,54}, {16,50}, {14,30}, {3,28}, {12,58}, {17,34}, {6,54}, {15,55}, {7,51}, {14,49}, {11,31}, {1,53}, {19,35}, {11,41}, {22,27}, {13,35}, {21,27}, {2,50}, {7,42}, {6,41}, {23,49}, {10,53}, {21,29}, {8,44}, {4,35}, {21,51}, {18,43}, {5,49}, {13,54}, {20,34}, {1,50}, {2,47}, {16,35}, {14,42}, {10,27}, {16,33}, {3,40}, {13,60}, {10,45}, {21,56}, {9,45}, {12,59}, {16,54}, {22,46}, {23,25}, {9,27}, {23,50}, {15,36}, {22,35}, {18,40}, {9,40}, {19,51}, {15,26}, {3,37}, {8,39}, {23,41}, {11,50}, {14,48}, {22,28}, {8,25}, {2,42}, {16,32}, {7,57}, {2,32}, {18,34}, {17,49}, {3,46}, {17,48}, {5,48}, {4,56}, {4,54}, {5,30}, {11,38}, {9,37}, {6,40} }; // ETB60.167 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 154618822656 EdgesBipt[60][166]:={ {24,34}, {15,38}, {15,59}, {14,36}, {11,49}, {19,26}, {11,25}, {2,55}, {3,58}, {8,51}, {19,57}, {5,45}, {8,26}, {13,39}, {11,43}, {8,40}, {3,35}, {20,46}, {24,54}, {24,36}, {21,54}, {14,45}, {15,56}, {20,58}, {5,32}, {1,35}, {15,41}, {13,43}, {10,48}, {14,44}, {4,38}, {10,56}, {10,47}, {20,26}, {2,25}, {21,40}, {4,43}, {16,42}, {8,30}, {9,33}, {13,59}, {7,45}, {8,46}, {6,60}, {16,60}, {21,38}, {23,31}, {13,30}, {23,54}, {7,27}, {6,39}, {23,36}, {6,49}, {12,31}, {20,29}, {19,52}, {5,37}, {18,35}, {16,25}, {9,56}, {24,31}, {23,43}, {19,42}, {12,37}, {6,46}, {16,43}, {18,39}, {18,57}, {13,26}, {17,47}, {5,50}, {12,52}, {18,46}, {1,26}, {2,36}, {13,41}, {22,34}, {24,37}, {9,36}, {1,43}, {12,49}, {11,51}, {18,33}, {6,51}, {3,38}, {10,59}, {5,27}, {15,28}, {5,28}, {24,41}, {22,59}, {7,60}, {19,47}, {1,39}, {9,58}, {17,29}, {8,48}, {14,54}, {4,32}, {4,60}, {2,44}, {1,30}, {19,27}, {18,51}, {4,53}, {11,36}, {13,48}, {3,55}, {9,51}, {22,48}, {15,37}, {20,51}, {10,38}, {11,33}, {22,56}, {13,25}, {11,48}, {8,47}, {9,38}, {24,55}, {3,59}, {17,31}, {1,41}, {4,45}, {12,55}, {1,59}, {13,53}, {22,29}, {9,54}, {12,41}, {24,39}, {23,48}, {17,55}, {24,59}, {21,42}, {17,28}, {19,45}, {16,56}, {22,30}, {15,58}, {2,43}, {2,27}, {7,34}, {10,29}, {17,46}, {15,53}, {23,51}, {1,25}, {22,50}, {20,30}, {14,27}, {20,44}, {15,46}, {10,30}, {20,47}, {4,50}, {21,58}, {21,60}, {15,35}, {1,57}, {6,31}, {11,32}, {9,52}, {11,54}, {15,40}, {14,43}, {10,52}, {13,57}, {14,37}, {1,44}, {19,44}, {18,31}, {14,40}, {1,48}, {16,45}, {7,39}, {3,41}, {22,41}, {22,52}, {7,52}, {19,29}, {6,57}, {5,31}, {20,48}, {19,34}, {2,54}, {2,26}, {3,53}, {17,50}, {14,55}, {7,29}, {8,29}, {21,52}, {22,38}, {13,44}, {14,58}, {24,49}, {2,45}, {5,46}, {14,26}, {10,50}, {23,32}, {11,30}, {19,39}, {16,53}, {4,27}, {18,28}, {19,60}, {3,56}, {16,38}, {20,28}, {21,33}, {8,58}, {12,36}, {16,27}, {7,47}, {24,57}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {4,25}, {3,28}, {21,34}, {8,33}, {12,39}, {5,47}, {18,49}, {15,55}, {11,31}, {20,33}, {1,53}, {24,52}, {13,35}, {7,42}, {23,49}, {12,34}, {9,60}, {8,44}, {23,30}, {6,28}, {6,42}, {4,35}, {21,51}, {18,53}, {14,25}, {5,49}, {7,26}, {23,33}, {16,35}, {5,55}, {10,34}, {3,40}, {17,27}, {2,40}, {21,56}, {17,45}, {12,59}, {12,57}, {17,37}, {23,25}, {23,50}, {21,36}, {6,53}, {7,44}, {8,28}, {9,40}, {20,40}, {18,60}, {12,54}, {22,47}, {3,37}, {22,32}, {9,42}, {9,34}, {10,32}, {6,35}, {17,32}, {11,50}, {18,42}, {16,32}, {7,57}, {6,33}, {17,49}, {3,46}, {2,58}, {4,56} }; // ETB60.168 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 154618822656 EdgesBipt[60][167]:={ {24,34}, {15,33}, {7,48}, {6,38}, {15,59}, {14,36}, {6,59}, {11,49}, {19,26}, {5,43}, {8,51}, {19,57}, {22,40}, {13,37}, {1,40}, {14,38}, {15,54}, {14,50}, {2,35}, {20,46}, {14,56}, {3,39}, {19,37}, {21,28}, {7,30}, {15,41}, {13,43}, {6,56}, {6,58}, {14,29}, {10,48}, {23,44}, {24,28}, {13,40}, {17,35}, {24,56}, {3,49}, {21,53}, {15,57}, {10,42}, {11,27}, {10,47}, {20,38}, {12,28}, {21,40}, {4,43}, {16,42}, {1,52}, {23,45}, {7,59}, {12,46}, {20,43}, {7,45}, {8,46}, {24,46}, {6,60}, {16,60}, {12,38}, {7,41}, {23,31}, {23,54}, {7,27}, {12,42}, {23,36}, {22,42}, {19,48}, {17,26}, {13,47}, {2,48}, {18,58}, {13,55}, {18,35}, {16,25}, {9,35}, {1,29}, {16,34}, {2,56}, {16,43}, {13,58}, {8,38}, {13,26}, {17,47}, {12,52}, {2,29}, {1,26}, {14,32}, {2,36}, {22,58}, {1,43}, {11,51}, {18,36}, {10,59}, {18,59}, {21,55}, {5,28}, {18,56}, {9,46}, {14,35}, {22,59}, {3,31}, {3,51}, {7,37}, {2,30}, {5,53}, {9,58}, {5,35}, {3,36}, {17,29}, {14,54}, {20,25}, {4,32}, {4,60}, {8,56}, {19,27}, {8,50}, {12,56}, {6,36}, {1,55}, {11,36}, {3,55}, {1,47}, {22,48}, {16,57}, {15,37}, {20,51}, {10,58}, {11,33}, {9,55}, {13,25}, {21,31}, {19,30}, {11,48}, {18,38}, {21,37}, {8,45}, {3,59}, {17,31}, {4,45}, {22,29}, {18,54}, {11,44}, {24,39}, {23,48}, {17,28}, {19,45}, {22,30}, {4,57}, {9,31}, {10,29}, {17,46}, {23,51}, {1,25}, {22,50}, {24,38}, {19,55}, {17,44}, {19,41}, {13,29}, {10,30}, {4,50}, {21,58}, {4,34}, {9,52}, {11,54}, {1,44}, {15,49}, {23,27}, {19,44}, {16,45}, {7,39}, {3,41}, {15,39}, {22,41}, {8,32}, {24,51}, {5,31}, {17,25}, {2,54}, {21,49}, {24,60}, {20,32}, {18,41}, {10,40}, {14,47}, {21,52}, {13,44}, {8,27}, {21,46}, {5,46}, {3,33}, {20,50}, {10,50}, {19,59}, {11,30}, {19,39}, {9,28}, {4,27}, {7,55}, {8,43}, {11,45}, {20,28}, {3,54}, {16,27}, {2,53}, {5,26}, {24,57}, {4,42}, {5,29}, {16,50}, {10,41}, {4,25}, {14,30}, {21,34}, {12,33}, {8,33}, {12,39}, {5,47}, {20,27}, {6,54}, {3,57}, {21,35}, {15,55}, {11,31}, {20,33}, {12,60}, {13,34}, {24,52}, {1,34}, {2,50}, {6,41}, {23,49}, {12,34}, {23,30}, {6,42}, {15,51}, {18,53}, {5,49}, {7,26}, {20,45}, {10,60}, {23,33}, {2,47}, {17,53}, {12,57}, {16,39}, {20,56}, {16,52}, {2,38}, {15,36}, {15,31}, {6,53}, {7,44}, {8,28}, {9,49}, {18,40}, {9,40}, {24,42}, {18,60}, {5,44}, {5,25}, {9,53}, {4,52}, {22,47}, {14,53}, {3,37}, {22,32}, {9,34}, {24,33}, {10,32}, {4,39}, {6,35}, {22,60}, {23,26}, {13,52}, {17,43}, {14,48}, {1,37}, {1,58}, {8,25}, {18,42}, {16,32}, {7,57}, {2,32}, {12,51}, {17,49}, {11,26}, {9,37}, {6,40} }; // ETB60.169 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1671768834048 EdgesBipt[60][168]:={ {16,47}, {15,38}, {15,59}, {5,38}, {4,28}, {3,58}, {11,59}, {8,51}, {5,45}, {8,26}, {22,40}, {1,49}, {13,37}, {17,33}, {5,57}, {24,32}, {24,36}, {2,49}, {14,45}, {3,39}, {4,37}, {4,40}, {2,46}, {24,48}, {6,58}, {14,57}, {23,44}, {24,56}, {4,38}, {11,35}, {11,27}, {10,47}, {2,34}, {22,55}, {2,25}, {16,42}, {18,32}, {8,30}, {5,41}, {7,41}, {12,42}, {11,39}, {10,26}, {22,42}, {19,48}, {23,28}, {5,60}, {20,39}, {24,47}, {24,45}, {20,35}, {1,36}, {6,46}, {10,35}, {13,58}, {8,38}, {5,50}, {4,49}, {17,36}, {13,41}, {20,42}, {18,29}, {9,36}, {6,34}, {11,51}, {9,39}, {8,42}, {22,43}, {10,59}, {16,59}, {3,43}, {18,56}, {21,55}, {2,39}, {19,56}, {3,31}, {3,51}, {18,55}, {13,49}, {17,57}, {5,53}, {2,30}, {7,53}, {15,50}, {3,36}, {11,60}, {14,54}, {19,27}, {8,50}, {14,28}, {12,56}, {23,40}, {4,53}, {11,36}, {3,55}, {9,51}, {21,47}, {16,57}, {14,33}, {2,51}, {20,51}, {15,37}, {10,38}, {15,34}, {13,25}, {21,31}, {11,48}, {10,55}, {4,41}, {8,41}, {7,46}, {17,31}, {13,53}, {12,41}, {20,54}, {17,55}, {24,59}, {17,28}, {15,58}, {22,30}, {2,27}, {12,30}, {6,30}, {7,50}, {7,34}, {10,31}, {7,58}, {13,56}, {1,25}, {22,31}, {23,56}, {23,35}, {20,30}, {8,53}, {18,44}, {6,45}, {20,44}, {19,41}, {13,29}, {14,52}, {9,25}, {15,46}, {20,47}, {4,50}, {21,58}, {23,47}, {16,30}, {12,45}, {15,35}, {12,29}, {1,57}, {6,31}, {17,52}, {9,52}, {21,32}, {16,26}, {10,52}, {14,37}, {15,49}, {24,35}, {21,59}, {19,53}, {19,44}, {18,31}, {14,40}, {1,48}, {16,45}, {20,59}, {23,59}, {4,29}, {22,52}, {19,29}, {6,43}, {22,39}, {6,57}, {10,28}, {3,60}, {2,54}, {24,60}, {20,32}, {18,41}, {10,40}, {1,60}, {23,37}, {7,29}, {8,29}, {13,44}, {8,27}, {21,46}, {23,52}, {3,48}, {13,32}, {1,45}, {10,50}, {23,32}, {19,39}, {9,28}, {3,34}, {7,55}, {18,28}, {11,47}, {18,52}, {19,60}, {16,38}, {1,33}, {12,44}, {5,26}, {24,57}, {2,37}, {5,29}, {16,50}, {12,53}, {4,25}, {14,30}, {21,34}, {7,31}, {12,33}, {20,27}, {6,54}, {21,35}, {15,47}, {14,49}, {21,44}, {13,34}, {17,60}, {1,34}, {22,27}, {22,51}, {21,43}, {23,49}, {17,40}, {24,44}, {9,60}, {19,36}, {6,42}, {19,32}, {18,43}, {18,53}, {14,25}, {7,26}, {16,35}, {14,42}, {16,33}, {8,54}, {21,56}, {17,45}, {4,26}, {12,57}, {16,54}, {20,56}, {23,25}, {3,27}, {9,27}, {7,38}, {12,32}, {10,43}, {6,55}, {9,49}, {7,43}, {18,40}, {9,40}, {19,51}, {22,54}, {12,54}, {15,26}, {4,52}, {1,46}, {8,39}, {5,36}, {24,33}, {13,46}, {11,50}, {17,43}, {22,28}, {1,37}, {1,58}, {2,42}, {6,33}, {11,26}, {3,46}, {9,48}, {17,48}, {5,48}, {15,25}, {2,58}, {5,33}, {11,38}, {9,37} }; // ETB60.170 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1671768834048 EdgesBipt[60][169]:={ {15,33}, {19,28}, {16,47}, {15,59}, {14,36}, {5,38}, {3,58}, {11,59}, {8,51}, {5,45}, {2,60}, {8,26}, {1,49}, {13,37}, {14,38}, {17,42}, {15,44}, {15,54}, {14,50}, {17,33}, {16,58}, {5,57}, {24,32}, {21,41}, {2,49}, {14,45}, {6,48}, {19,37}, {3,39}, {16,37}, {15,56}, {4,37}, {2,46}, {6,58}, {14,57}, {23,44}, {24,28}, {13,40}, {24,56}, {4,38}, {21,53}, {11,35}, {15,57}, {11,27}, {10,47}, {19,40}, {2,34}, {12,28}, {2,25}, {15,32}, {16,49}, {9,33}, {13,59}, {9,57}, {5,41}, {6,60}, {7,41}, {4,58}, {12,42}, {23,36}, {11,39}, {10,26}, {22,42}, {20,29}, {12,40}, {13,47}, {2,48}, {15,30}, {19,52}, {24,47}, {16,25}, {24,31}, {12,37}, {16,34}, {6,46}, {15,45}, {10,35}, {18,39}, {8,38}, {13,26}, {5,50}, {12,52}, {4,49}, {2,36}, {20,36}, {9,36}, {6,34}, {12,49}, {11,51}, {18,36}, {5,54}, {23,60}, {10,59}, {16,59}, {3,43}, {21,55}, {20,41}, {2,39}, {24,40}, {14,35}, {1,42}, {19,56}, {3,31}, {12,27}, {3,51}, {18,55}, {13,49}, {17,57}, {5,53}, {11,42}, {7,53}, {19,49}, {8,48}, {14,60}, {1,30}, {8,50}, {6,36}, {23,39}, {18,51}, {4,53}, {3,30}, {3,55}, {14,33}, {2,51}, {10,38}, {10,46}, {10,58}, {22,56}, {8,60}, {13,25}, {21,31}, {10,55}, {4,41}, {8,41}, {24,55}, {17,54}, {17,31}, {22,29}, {23,48}, {17,55}, {24,59}, {17,28}, {16,56}, {22,30}, {2,27}, {12,30}, {7,50}, {22,44}, {10,31}, {23,51}, {1,25}, {13,50}, {23,56}, {23,35}, {8,53}, {7,28}, {6,45}, {20,44}, {19,41}, {9,25}, {17,30}, {4,50}, {21,58}, {23,47}, {4,34}, {15,35}, {1,57}, {6,31}, {17,52}, {22,53}, {9,52}, {21,32}, {12,25}, {11,54}, {3,42}, {13,38}, {23,27}, {24,35}, {19,53}, {19,44}, {18,31}, {24,43}, {23,59}, {22,41}, {4,29}, {1,54}, {7,52}, {20,60}, {19,29}, {6,43}, {22,39}, {6,57}, {20,48}, {16,44}, {7,40}, {20,32}, {7,29}, {14,47}, {8,29}, {8,36}, {8,27}, {21,46}, {14,26}, {1,45}, {10,50}, {23,32}, {11,30}, {9,28}, {3,34}, {7,55}, {20,57}, {18,28}, {16,46}, {11,47}, {14,59}, {4,46}, {18,52}, {18,27}, {1,33}, {20,53}, {3,54}, {19,25}, {5,26}, {2,37}, {5,29}, {4,25}, {21,34}, {7,31}, {12,39}, {15,47}, {21,44}, {20,33}, {24,52}, {15,42}, {1,34}, {22,27}, {22,51}, {13,35}, {21,43}, {21,29}, {17,40}, {24,44}, {9,60}, {19,32}, {18,43}, {7,26}, {20,45}, {16,35}, {10,34}, {21,56}, {17,45}, {9,45}, {4,26}, {13,28}, {20,56}, {3,27}, {7,38}, {5,42}, {10,43}, {6,55}, {9,49}, {7,43}, {18,40}, {9,40}, {18,60}, {22,54}, {12,54}, {1,46}, {8,39}, {22,32}, {11,50}, {13,52}, {17,43}, {14,48}, {1,37}, {1,58}, {16,32}, {6,33}, {18,48}, {12,51}, {11,26}, {3,46}, {9,48}, {5,33}, {2,58}, {5,30}, {11,38}, {9,37} }; // ETB60.171 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 226492416 EdgesBipt[60][170]:={ {15,33}, {19,28}, {10,37}, {16,47}, {15,59}, {8,57}, {9,32}, {5,38}, {5,56}, {2,55}, {3,58}, {5,59}, {8,51}, {5,45}, {22,40}, {14,38}, {15,44}, {14,50}, {3,35}, {21,30}, {11,57}, {16,55}, {21,41}, {14,56}, {17,56}, {16,37}, {16,28}, {5,32}, {15,41}, {13,43}, {6,58}, {14,57}, {14,29}, {24,28}, {2,33}, {17,35}, {3,49}, {20,38}, {19,40}, {20,26}, {2,25}, {16,42}, {1,52}, {15,32}, {16,49}, {13,59}, {24,46}, {5,41}, {17,39}, {6,60}, {16,60}, {20,49}, {23,31}, {13,30}, {17,59}, {23,54}, {12,42}, {23,36}, {11,39}, {7,33}, {12,31}, {19,48}, {20,29}, {18,58}, {19,52}, {24,47}, {9,35}, {1,36}, {19,42}, {13,51}, {23,58}, {7,56}, {10,35}, {6,44}, {24,26}, {5,50}, {12,52}, {18,47}, {1,38}, {14,32}, {13,41}, {20,36}, {22,34}, {24,37}, {18,29}, {22,58}, {1,43}, {12,49}, {7,54}, {18,33}, {10,59}, {5,27}, {19,46}, {3,43}, {21,55}, {18,56}, {20,41}, {2,39}, {14,35}, {3,47}, {7,32}, {7,60}, {3,31}, {13,49}, {6,27}, {17,57}, {14,34}, {15,50}, {4,32}, {4,60}, {22,49}, {1,30}, {6,36}, {23,40}, {18,51}, {24,53}, {16,29}, {11,36}, {13,48}, {22,26}, {16,57}, {2,51}, {22,56}, {9,55}, {13,25}, {14,39}, {19,30}, {11,48}, {10,55}, {8,47}, {8,41}, {24,55}, {18,38}, {21,37}, {7,46}, {8,45}, {3,29}, {4,45}, {21,57}, {20,54}, {20,31}, {4,47}, {11,44}, {8,59}, {3,25}, {23,48}, {17,28}, {11,46}, {2,43}, {15,58}, {2,27}, {7,50}, {22,44}, {10,31}, {18,25}, {17,46}, {15,53}, {23,51}, {1,25}, {22,31}, {13,31}, {9,30}, {7,28}, {6,45}, {20,44}, {14,52}, {9,25}, {5,40}, {20,47}, {4,50}, {4,34}, {17,38}, {15,35}, {11,32}, {12,25}, {11,54}, {15,40}, {10,52}, {24,35}, {21,59}, {19,53}, {1,48}, {16,31}, {20,59}, {4,29}, {1,54}, {22,52}, {24,29}, {21,39}, {6,37}, {24,51}, {17,25}, {19,34}, {4,44}, {17,41}, {12,43}, {3,53}, {23,37}, {14,47}, {8,29}, {21,52}, {22,38}, {8,36}, {8,27}, {2,45}, {1,45}, {11,30}, {4,27}, {16,46}, {19,60}, {5,58}, {12,36}, {3,45}, {2,37}, {4,42}, {10,41}, {23,55}, {21,34}, {8,33}, {12,39}, {2,57}, {6,54}, {7,51}, {21,44}, {19,35}, {12,60}, {9,50}, {6,26}, {1,34}, {7,42}, {2,50}, {23,49}, {10,53}, {24,44}, {12,34}, {9,60}, {23,30}, {19,58}, {6,42}, {21,48}, {13,33}, {18,43}, {15,51}, {1,56}, {23,33}, {11,28}, {10,27}, {10,34}, {17,53}, {3,40}, {10,45}, {8,54}, {4,26}, {12,57}, {22,46}, {16,39}, {13,28}, {20,56}, {3,27}, {7,38}, {6,55}, {18,40}, {18,60}, {1,27}, {12,54}, {9,53}, {15,26}, {4,52}, {9,43}, {14,53}, {8,39}, {9,42}, {24,33}, {13,46}, {7,36}, {11,50}, {17,43}, {21,26}, {22,28}, {18,42}, {2,32}, {11,26}, {9,48}, {5,48}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB60.172 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[60][171]:={ {19,28}, {6,38}, {11,40}, {10,37}, {16,47}, {8,57}, {11,49}, {6,59}, {11,25}, {4,28}, {5,43}, {2,55}, {3,58}, {8,51}, {3,26}, {8,26}, {1,40}, {17,42}, {11,43}, {17,33}, {5,57}, {10,33}, {15,27}, {24,32}, {21,41}, {2,49}, {21,54}, {10,39}, {14,45}, {6,48}, {20,37}, {16,28}, {1,35}, {13,43}, {6,56}, {23,44}, {24,28}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {11,29}, {10,47}, {19,40}, {22,55}, {22,37}, {21,40}, {1,52}, {15,32}, {16,49}, {23,38}, {7,45}, {24,46}, {17,39}, {20,49}, {7,27}, {13,47}, {5,60}, {2,48}, {15,30}, {24,50}, {24,47}, {9,56}, {12,37}, {23,58}, {15,45}, {13,58}, {20,55}, {12,52}, {17,36}, {5,34}, {18,47}, {18,46}, {20,36}, {20,42}, {10,51}, {22,34}, {24,37}, {18,29}, {9,36}, {1,43}, {11,51}, {8,42}, {18,36}, {3,38}, {16,59}, {19,46}, {5,28}, {2,39}, {9,59}, {14,35}, {7,60}, {3,31}, {3,51}, {18,55}, {6,27}, {17,57}, {5,53}, {2,30}, {7,53}, {5,35}, {14,34}, {15,50}, {4,32}, {2,44}, {21,45}, {12,47}, {23,40}, {24,53}, {4,53}, {16,29}, {3,30}, {22,48}, {10,57}, {22,26}, {2,51}, {15,37}, {11,33}, {8,60}, {13,25}, {17,51}, {10,55}, {4,41}, {9,38}, {24,55}, {17,54}, {8,45}, {11,58}, {1,41}, {12,55}, {1,59}, {9,54}, {18,54}, {20,54}, {20,31}, {4,47}, {3,44}, {23,48}, {17,28}, {7,35}, {15,60}, {16,56}, {22,30}, {5,52}, {6,30}, {22,44}, {7,34}, {10,31}, {9,31}, {10,29}, {17,46}, {15,53}, {13,56}, {1,25}, {22,50}, {13,50}, {23,56}, {20,30}, {9,30}, {5,39}, {14,27}, {16,41}, {6,45}, {19,41}, {13,29}, {14,52}, {4,50}, {21,58}, {10,25}, {15,35}, {12,29}, {12,25}, {22,57}, {13,38}, {24,35}, {21,59}, {18,31}, {14,40}, {9,41}, {16,31}, {7,39}, {23,34}, {4,29}, {22,52}, {4,59}, {24,29}, {7,52}, {20,60}, {22,39}, {17,25}, {20,48}, {24,60}, {12,50}, {12,43}, {2,26}, {11,56}, {8,36}, {14,58}, {8,27}, {23,52}, {5,46}, {3,48}, {3,33}, {16,36}, {13,32}, {14,26}, {23,32}, {19,59}, {19,33}, {19,43}, {18,28}, {16,46}, {11,47}, {14,59}, {4,46}, {3,56}, {2,31}, {16,38}, {21,33}, {19,25}, {2,37}, {8,33}, {12,39}, {2,57}, {20,27}, {18,49}, {15,55}, {11,31}, {21,44}, {15,48}, {1,53}, {13,34}, {17,60}, {15,42}, {1,34}, {21,27}, {7,42}, {6,41}, {12,34}, {8,44}, {19,36}, {23,30}, {19,58}, {4,35}, {21,51}, {7,26}, {20,45}, {3,40}, {8,54}, {9,45}, {14,41}, {12,57}, {16,54}, {1,28}, {9,27}, {5,42}, {23,50}, {12,32}, {10,43}, {21,36}, {6,53}, {7,44}, {9,49}, {19,51}, {24,42}, {18,60}, {5,25}, {14,53}, {1,46}, {8,39}, {22,32}, {6,35}, {23,26}, {13,52}, {17,43}, {6,50}, {21,26}, {1,58}, {18,42}, {7,57}, {9,48}, {19,54}, {18,37}, {4,56}, {11,38}, {10,49} }; // ETB60.173 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75497472 EdgesBipt[60][172]:={ {19,28}, {6,38}, {16,47}, {15,59}, {8,57}, {14,36}, {11,49}, {6,25}, {5,38}, {5,56}, {4,28}, {2,55}, {3,58}, {8,51}, {3,26}, {8,26}, {22,40}, {1,49}, {1,40}, {14,38}, {17,42}, {15,54}, {14,50}, {2,35}, {17,33}, {3,35}, {10,33}, {15,27}, {16,55}, {24,32}, {24,54}, {24,36}, {11,53}, {2,49}, {14,56}, {10,39}, {14,45}, {6,48}, {19,37}, {16,37}, {20,37}, {20,58}, {4,51}, {15,41}, {2,46}, {6,56}, {13,43}, {24,48}, {13,27}, {14,29}, {23,44}, {24,28}, {13,40}, {6,32}, {17,35}, {24,56}, {11,35}, {11,29}, {15,57}, {11,27}, {22,55}, {20,26}, {22,37}, {21,40}, {1,52}, {16,49}, {9,57}, {24,46}, {23,54}, {23,36}, {6,39}, {23,28}, {20,29}, {19,48}, {5,60}, {24,30}, {2,48}, {18,58}, {22,25}, {24,50}, {9,56}, {13,42}, {12,37}, {15,45}, {10,35}, {7,56}, {13,58}, {8,38}, {20,55}, {18,46}, {14,32}, {10,51}, {22,58}, {1,43}, {9,39}, {18,26}, {18,36}, {22,43}, {6,51}, {10,59}, {16,59}, {19,46}, {21,55}, {5,28}, {1,31}, {12,27}, {3,51}, {2,30}, {5,53}, {11,42}, {5,35}, {11,60}, {14,54}, {14,60}, {1,30}, {8,56}, {8,50}, {12,47}, {23,39}, {1,55}, {4,53}, {16,29}, {22,48}, {10,57}, {21,47}, {20,51}, {15,34}, {13,25}, {17,51}, {17,58}, {21,31}, {19,30}, {8,47}, {4,41}, {9,38}, {21,37}, {13,36}, {12,55}, {12,41}, {18,54}, {3,44}, {13,45}, {22,30}, {6,30}, {4,33}, {7,34}, {4,57}, {9,31}, {15,52}, {1,25}, {22,50}, {9,30}, {24,38}, {19,55}, {18,44}, {14,27}, {16,41}, {20,44}, {19,41}, {9,25}, {20,47}, {21,58}, {12,45}, {10,25}, {12,29}, {9,52}, {3,42}, {19,50}, {7,49}, {1,48}, {16,31}, {16,45}, {23,59}, {7,39}, {23,34}, {15,39}, {4,59}, {7,52}, {6,43}, {8,32}, {6,57}, {5,31}, {17,25}, {3,60}, {4,44}, {21,49}, {24,60}, {2,41}, {12,50}, {20,32}, {3,53}, {7,29}, {11,56}, {14,47}, {2,28}, {8,29}, {23,57}, {21,52}, {23,52}, {5,46}, {3,33}, {20,50}, {19,59}, {16,53}, {18,28}, {11,47}, {4,46}, {18,52}, {2,31}, {11,45}, {12,36}, {16,27}, {2,53}, {7,47}, {2,37}, {10,41}, {3,28}, {21,34}, {7,31}, {8,33}, {22,33}, {11,31}, {20,33}, {21,44}, {13,34}, {17,60}, {22,51}, {1,34}, {10,53}, {21,29}, {17,40}, {8,44}, {19,36}, {4,35}, {19,32}, {23,46}, {5,49}, {13,54}, {7,26}, {16,35}, {14,42}, {10,27}, {17,53}, {3,40}, {13,60}, {17,27}, {10,45}, {17,45}, {12,59}, {4,26}, {7,38}, {5,42}, {2,59}, {12,32}, {15,36}, {10,43}, {7,44}, {9,49}, {18,40}, {24,42}, {20,40}, {18,60}, {12,54}, {9,43}, {8,39}, {22,32}, {23,41}, {9,34}, {15,43}, {4,39}, {23,26}, {13,52}, {17,43}, {6,50}, {21,26}, {1,37}, {1,58}, {18,42}, {7,57}, {6,33}, {18,34}, {3,46}, {19,54}, {9,48}, {5,48}, {15,25}, {5,30}, {11,38} }; // ETB60.174 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[60][173]:={ {6,52}, {19,28}, {6,38}, {11,49}, {6,59}, {6,25}, {5,38}, {5,56}, {16,51}, {5,43}, {11,59}, {8,26}, {22,40}, {15,44}, {15,54}, {17,33}, {16,58}, {5,57}, {20,46}, {15,27}, {16,55}, {21,41}, {17,56}, {6,48}, {19,37}, {3,39}, {16,37}, {20,37}, {21,28}, {5,32}, {2,46}, {6,56}, {13,43}, {14,29}, {13,40}, {14,44}, {24,56}, {3,49}, {11,27}, {10,47}, {19,40}, {2,34}, {19,31}, {2,25}, {12,48}, {21,40}, {16,48}, {15,32}, {2,52}, {4,30}, {9,33}, {20,43}, {13,59}, {8,37}, {8,52}, {12,38}, {20,49}, {13,30}, {17,59}, {23,54}, {23,36}, {10,26}, {17,26}, {18,58}, {21,50}, {18,35}, {24,31}, {24,45}, {23,43}, {1,36}, {1,29}, {23,42}, {2,56}, {15,45}, {24,26}, {13,58}, {20,55}, {17,47}, {5,50}, {12,52}, {17,36}, {18,47}, {1,38}, {18,46}, {13,41}, {16,40}, {20,42}, {18,29}, {22,58}, {9,36}, {6,34}, {11,51}, {8,42}, {5,54}, {23,60}, {10,59}, {19,46}, {5,28}, {14,35}, {3,47}, {22,59}, {7,60}, {3,31}, {12,27}, {3,51}, {18,55}, {1,39}, {13,49}, {7,53}, {14,34}, {15,50}, {19,49}, {17,29}, {14,60}, {20,25}, {4,32}, {4,60}, {22,49}, {8,50}, {12,56}, {23,39}, {24,53}, {13,48}, {9,51}, {1,47}, {22,48}, {21,47}, {10,36}, {15,37}, {20,51}, {10,58}, {11,33}, {8,60}, {9,55}, {13,25}, {17,51}, {17,54}, {8,45}, {3,29}, {4,45}, {1,51}, {13,53}, {9,54}, {20,31}, {11,44}, {24,39}, {23,48}, {7,35}, {2,43}, {15,58}, {22,30}, {12,30}, {6,30}, {4,57}, {10,44}, {10,29}, {22,31}, {13,31}, {9,30}, {5,39}, {24,38}, {19,55}, {22,45}, {17,44}, {8,34}, {14,52}, {9,25}, {4,50}, {21,58}, {16,30}, {12,45}, {4,34}, {17,38}, {1,57}, {21,32}, {15,40}, {3,42}, {14,37}, {24,35}, {10,54}, {21,59}, {19,53}, {7,49}, {16,45}, {7,39}, {22,41}, {1,54}, {20,60}, {6,43}, {8,32}, {24,27}, {3,60}, {2,41}, {17,41}, {10,40}, {14,55}, {7,29}, {11,56}, {14,47}, {2,28}, {23,57}, {21,52}, {24,49}, {8,27}, {21,46}, {5,46}, {3,33}, {16,36}, {14,26}, {10,50}, {23,32}, {4,27}, {19,43}, {18,28}, {18,52}, {11,45}, {20,28}, {1,33}, {16,27}, {19,25}, {7,47}, {24,57}, {4,42}, {12,53}, {10,41}, {3,28}, {21,34}, {7,31}, {12,39}, {3,57}, {15,55}, {22,33}, {11,31}, {20,33}, {19,35}, {11,41}, {22,27}, {22,51}, {13,35}, {7,42}, {2,50}, {6,41}, {21,29}, {24,44}, {12,34}, {9,60}, {8,44}, {23,30}, {19,58}, {18,53}, {1,56}, {7,26}, {8,55}, {14,42}, {16,33}, {12,57}, {16,54}, {1,28}, {23,25}, {2,38}, {2,59}, {23,50}, {15,36}, {6,53}, {7,44}, {18,40}, {5,25}, {15,26}, {4,52}, {9,43}, {14,53}, {1,46}, {9,42}, {5,36}, {10,32}, {4,39}, {12,35}, {6,35}, {4,48}, {7,57}, {2,32}, {18,34}, {11,26}, {3,46}, {9,48}, {18,37}, {11,38}, {9,37} }; // ETB60.175 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[60][174]:={ {18,45}, {7,48}, {6,38}, {16,47}, {8,57}, {11,49}, {19,26}, {2,55}, {5,59}, {11,59}, {8,26}, {22,40}, {1,49}, {13,37}, {1,40}, {15,54}, {5,57}, {20,46}, {21,30}, {24,32}, {2,49}, {21,54}, {17,56}, {10,39}, {14,45}, {19,37}, {20,58}, {21,28}, {4,51}, {7,30}, {4,40}, {13,43}, {6,56}, {24,48}, {14,57}, {14,29}, {23,44}, {24,28}, {6,32}, {17,35}, {10,47}, {20,38}, {2,25}, {1,52}, {23,38}, {13,59}, {8,46}, {8,37}, {24,46}, {5,41}, {6,60}, {12,38}, {23,31}, {23,54}, {4,58}, {12,42}, {23,36}, {22,42}, {19,48}, {23,28}, {13,47}, {24,30}, {24,50}, {13,55}, {16,25}, {9,56}, {20,35}, {6,46}, {23,58}, {16,43}, {7,56}, {6,44}, {9,47}, {2,36}, {13,41}, {22,58}, {9,36}, {9,29}, {7,54}, {5,54}, {6,51}, {10,59}, {16,59}, {3,43}, {21,55}, {18,56}, {24,41}, {2,39}, {14,35}, {1,42}, {7,60}, {1,31}, {3,51}, {9,58}, {4,32}, {4,60}, {1,30}, {8,50}, {12,56}, {12,47}, {23,40}, {16,29}, {3,55}, {10,57}, {22,48}, {22,26}, {16,57}, {14,33}, {20,51}, {13,25}, {17,58}, {14,39}, {19,30}, {9,38}, {18,38}, {21,37}, {3,59}, {11,52}, {13,36}, {4,45}, {21,57}, {9,54}, {11,44}, {4,47}, {24,39}, {3,25}, {11,34}, {24,59}, {15,60}, {11,46}, {2,43}, {15,58}, {22,30}, {2,27}, {4,33}, {22,44}, {7,34}, {10,31}, {10,29}, {18,25}, {22,50}, {23,56}, {20,30}, {5,39}, {19,55}, {8,53}, {3,32}, {14,27}, {16,41}, {19,41}, {13,29}, {4,50}, {17,38}, {12,29}, {22,53}, {9,52}, {12,25}, {15,40}, {10,52}, {14,37}, {15,49}, {19,53}, {19,44}, {18,31}, {1,48}, {3,41}, {4,29}, {21,39}, {7,52}, {8,32}, {24,51}, {5,31}, {17,25}, {20,48}, {2,54}, {12,43}, {17,50}, {14,55}, {1,60}, {14,47}, {21,52}, {2,45}, {21,46}, {3,33}, {14,51}, {19,59}, {3,50}, {19,33}, {16,53}, {4,27}, {15,29}, {18,52}, {2,31}, {20,28}, {18,27}, {20,53}, {3,45}, {5,26}, {24,57}, {2,37}, {4,42}, {16,50}, {12,53}, {10,41}, {21,34}, {12,33}, {2,57}, {18,49}, {15,47}, {11,31}, {20,33}, {19,35}, {12,60}, {13,34}, {11,41}, {6,26}, {15,42}, {1,34}, {7,42}, {23,49}, {17,40}, {8,44}, {6,28}, {6,42}, {21,48}, {18,43}, {23,46}, {5,49}, {13,54}, {7,26}, {11,37}, {11,28}, {16,35}, {8,55}, {10,27}, {10,34}, {17,53}, {17,27}, {10,45}, {8,35}, {17,45}, {9,45}, {16,39}, {1,28}, {20,56}, {3,27}, {9,27}, {7,38}, {15,36}, {22,35}, {21,36}, {15,31}, {7,44}, {8,28}, {9,40}, {19,51}, {11,55}, {20,40}, {18,60}, {5,44}, {14,53}, {1,46}, {3,37}, {8,39}, {22,32}, {5,36}, {9,34}, {24,33}, {15,43}, {12,35}, {7,36}, {17,32}, {22,60}, {23,26}, {13,52}, {17,43}, {6,50}, {1,58}, {18,42}, {16,32}, {6,33}, {18,34}, {12,51}, {11,26}, {5,48}, {15,25}, {5,30}, {10,49} }; // ETB60.176 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[60][175]:={ {15,33}, {6,52}, {15,59}, {14,36}, {23,29}, {16,51}, {5,43}, {22,40}, {13,37}, {2,35}, {4,31}, {11,57}, {16,55}, {10,39}, {14,45}, {16,37}, {3,39}, {16,28}, {4,51}, {15,41}, {6,58}, {23,44}, {10,48}, {17,35}, {24,56}, {10,56}, {6,29}, {11,27}, {19,40}, {2,34}, {20,26}, {19,31}, {12,48}, {16,42}, {18,32}, {2,52}, {4,30}, {16,49}, {8,46}, {9,57}, {8,52}, {16,60}, {20,49}, {23,54}, {12,42}, {23,36}, {11,39}, {19,48}, {20,29}, {17,26}, {13,47}, {5,60}, {18,58}, {20,39}, {5,37}, {21,50}, {13,55}, {16,25}, {9,56}, {24,31}, {24,45}, {13,42}, {20,35}, {9,35}, {1,36}, {13,51}, {2,56}, {6,46}, {23,58}, {16,43}, {10,35}, {24,26}, {8,38}, {13,26}, {4,49}, {2,29}, {5,34}, {1,38}, {18,46}, {20,42}, {22,34}, {22,58}, {6,34}, {1,43}, {9,39}, {18,36}, {3,38}, {15,28}, {21,55}, {24,41}, {9,46}, {3,47}, {22,59}, {7,32}, {7,60}, {3,51}, {18,55}, {5,53}, {5,35}, {3,36}, {19,49}, {14,54}, {4,60}, {2,44}, {1,30}, {21,45}, {8,56}, {8,50}, {23,40}, {11,36}, {22,48}, {10,57}, {14,33}, {10,38}, {17,58}, {19,30}, {8,41}, {9,38}, {21,37}, {7,46}, {3,29}, {17,31}, {13,36}, {1,41}, {4,45}, {1,51}, {1,59}, {18,54}, {20,31}, {11,44}, {8,59}, {17,55}, {24,59}, {21,42}, {22,30}, {15,58}, {5,52}, {12,30}, {4,33}, {7,50}, {7,34}, {4,57}, {9,31}, {18,25}, {1,25}, {22,50}, {24,38}, {14,27}, {22,45}, {7,28}, {20,44}, {17,44}, {19,41}, {13,29}, {8,34}, {9,25}, {15,46}, {10,30}, {20,47}, {23,47}, {21,60}, {11,32}, {21,32}, {12,25}, {11,54}, {15,40}, {10,52}, {14,37}, {15,49}, {19,53}, {14,40}, {1,48}, {16,31}, {23,59}, {7,39}, {22,41}, {1,54}, {22,52}, {7,52}, {20,60}, {6,37}, {8,32}, {24,27}, {24,51}, {2,41}, {12,50}, {12,43}, {2,26}, {14,55}, {7,29}, {11,56}, {21,52}, {13,44}, {14,58}, {24,49}, {6,47}, {3,33}, {23,32}, {14,51}, {19,59}, {9,28}, {4,27}, {19,43}, {20,57}, {18,28}, {16,46}, {15,29}, {8,43}, {3,56}, {11,45}, {1,33}, {20,53}, {3,54}, {12,36}, {2,53}, {19,25}, {7,47}, {4,42}, {14,30}, {21,34}, {3,28}, {12,39}, {3,57}, {15,47}, {21,44}, {19,35}, {12,60}, {22,27}, {21,27}, {7,42}, {10,53}, {17,40}, {24,44}, {6,28}, {19,58}, {13,33}, {18,43}, {15,51}, {1,56}, {13,54}, {2,47}, {5,55}, {10,27}, {10,34}, {16,33}, {17,53}, {13,60}, {17,27}, {10,45}, {17,45}, {18,50}, {12,57}, {17,37}, {5,42}, {2,38}, {2,59}, {23,50}, {12,32}, {15,31}, {6,55}, {6,53}, {8,28}, {9,49}, {18,40}, {5,25}, {12,54}, {9,53}, {9,43}, {22,32}, {23,41}, {24,33}, {4,39}, {6,35}, {11,50}, {23,26}, {21,26}, {14,48}, {8,25}, {4,48}, {7,57}, {17,49}, {11,26}, {3,46}, {5,48}, {18,37}, {5,30}, {11,38}, {6,40} }; // ETB60.177 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37748736 EdgesBipt[60][176]:={ {6,52}, {7,48}, {19,28}, {15,38}, {9,32}, {23,29}, {16,51}, {19,26}, {11,25}, {3,58}, {5,59}, {11,59}, {8,51}, {2,60}, {22,40}, {15,44}, {11,43}, {14,50}, {4,31}, {3,35}, {24,32}, {21,41}, {10,39}, {19,37}, {15,56}, {16,28}, {1,35}, {7,30}, {20,52}, {2,46}, {6,58}, {13,27}, {10,48}, {13,40}, {14,44}, {2,33}, {4,38}, {6,29}, {11,27}, {20,38}, {12,28}, {19,31}, {12,48}, {4,43}, {16,42}, {15,32}, {12,46}, {20,43}, {8,37}, {9,57}, {5,41}, {17,39}, {6,60}, {16,60}, {23,31}, {23,54}, {23,36}, {6,49}, {10,26}, {12,31}, {20,29}, {17,26}, {13,47}, {2,48}, {22,25}, {19,52}, {5,37}, {24,50}, {21,50}, {18,35}, {24,45}, {23,43}, {9,35}, {1,29}, {23,42}, {23,58}, {13,58}, {9,47}, {12,52}, {4,49}, {17,36}, {5,34}, {14,32}, {20,36}, {20,42}, {24,37}, {22,58}, {6,34}, {9,29}, {9,39}, {11,51}, {12,49}, {18,26}, {7,54}, {5,54}, {18,33}, {22,43}, {23,60}, {3,38}, {10,59}, {19,46}, {15,28}, {18,56}, {9,59}, {14,35}, {3,51}, {1,39}, {7,37}, {6,27}, {17,57}, {2,30}, {15,50}, {19,49}, {14,60}, {20,25}, {4,60}, {22,49}, {21,45}, {23,40}, {1,55}, {18,51}, {24,53}, {3,30}, {1,47}, {10,57}, {21,47}, {10,36}, {2,51}, {11,33}, {22,56}, {8,47}, {8,41}, {24,55}, {18,38}, {17,54}, {7,46}, {17,31}, {13,36}, {4,45}, {1,51}, {21,57}, {12,41}, {20,54}, {13,45}, {24,39}, {8,59}, {17,55}, {17,28}, {16,56}, {5,52}, {15,58}, {12,30}, {7,34}, {10,31}, {10,44}, {24,25}, {17,46}, {15,53}, {13,56}, {22,31}, {19,55}, {8,53}, {18,44}, {22,45}, {7,28}, {6,45}, {17,44}, {19,41}, {13,29}, {9,25}, {15,46}, {10,30}, {20,47}, {23,47}, {4,34}, {15,35}, {1,57}, {6,31}, {11,32}, {21,32}, {16,26}, {15,40}, {13,38}, {24,35}, {10,54}, {21,59}, {19,44}, {14,40}, {24,43}, {9,41}, {7,39}, {21,39}, {7,52}, {20,60}, {24,27}, {19,34}, {16,44}, {3,53}, {18,30}, {2,28}, {8,29}, {22,38}, {14,58}, {6,47}, {3,48}, {3,33}, {14,26}, {1,45}, {19,59}, {4,27}, {7,55}, {16,46}, {8,43}, {3,56}, {16,38}, {11,45}, {1,33}, {21,33}, {5,26}, {24,57}, {4,42}, {16,50}, {10,41}, {4,25}, {14,30}, {3,28}, {8,33}, {12,39}, {1,53}, {13,34}, {11,41}, {9,50}, {22,27}, {21,27}, {2,50}, {23,49}, {21,29}, {12,34}, {6,42}, {21,51}, {18,53}, {13,54}, {20,34}, {11,37}, {8,55}, {5,55}, {14,42}, {16,33}, {3,40}, {8,35}, {2,40}, {12,59}, {12,57}, {17,37}, {20,56}, {23,25}, {11,55}, {18,60}, {1,27}, {5,44}, {22,54}, {9,53}, {15,26}, {22,36}, {4,52}, {9,43}, {14,53}, {5,36}, {7,36}, {11,50}, {13,52}, {14,48}, {1,37}, {8,25}, {2,42}, {18,42}, {16,32}, {7,57}, {2,32}, {18,48}, {17,49}, {3,46}, {5,48}, {2,58}, {4,56}, {5,30}, {10,49}, {6,40} }; // ETB60.178 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1179648 EdgesBipt[60][177]:={ {24,34}, {15,33}, {6,52}, {19,28}, {16,47}, {8,57}, {9,32}, {4,28}, {3,58}, {11,59}, {5,45}, {3,26}, {15,44}, {14,50}, {5,57}, {15,27}, {24,36}, {14,45}, {19,37}, {20,58}, {16,28}, {21,28}, {4,40}, {6,56}, {24,48}, {13,27}, {14,44}, {3,49}, {15,57}, {6,29}, {19,40}, {22,55}, {19,31}, {12,48}, {16,42}, {8,30}, {16,49}, {23,38}, {5,41}, {6,60}, {12,38}, {7,41}, {13,30}, {23,36}, {6,49}, {12,31}, {20,29}, {2,48}, {15,30}, {22,25}, {19,52}, {13,55}, {18,35}, {24,31}, {24,45}, {13,42}, {20,35}, {9,35}, {1,29}, {23,42}, {12,37}, {13,51}, {6,46}, {15,45}, {20,55}, {18,57}, {13,26}, {9,47}, {4,49}, {5,34}, {1,38}, {18,46}, {1,26}, {16,40}, {22,34}, {24,37}, {18,29}, {22,58}, {9,36}, {11,51}, {9,39}, {7,54}, {5,54}, {18,33}, {22,43}, {23,60}, {10,59}, {18,56}, {24,41}, {2,39}, {9,59}, {9,46}, {1,42}, {22,59}, {7,32}, {12,27}, {7,37}, {17,57}, {5,53}, {11,42}, {7,53}, {11,60}, {2,44}, {1,30}, {8,56}, {1,55}, {11,36}, {3,30}, {21,47}, {10,36}, {2,51}, {10,38}, {15,34}, {10,58}, {8,60}, {13,25}, {17,58}, {14,39}, {11,48}, {10,55}, {21,37}, {17,54}, {3,29}, {17,31}, {1,51}, {12,41}, {20,54}, {3,44}, {4,47}, {8,59}, {3,25}, {23,48}, {7,35}, {11,46}, {22,30}, {15,58}, {5,52}, {2,27}, {4,33}, {10,31}, {24,25}, {23,51}, {13,56}, {1,25}, {22,31}, {13,50}, {23,56}, {20,30}, {24,38}, {8,53}, {14,27}, {7,28}, {17,44}, {19,41}, {13,29}, {10,30}, {5,40}, {4,50}, {23,47}, {21,60}, {12,45}, {10,25}, {17,52}, {21,32}, {16,26}, {12,25}, {14,37}, {13,38}, {15,49}, {10,54}, {21,59}, {19,53}, {14,40}, {24,43}, {20,59}, {23,59}, {7,39}, {21,39}, {7,52}, {20,60}, {8,32}, {24,27}, {24,51}, {6,57}, {5,31}, {16,44}, {4,44}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {11,56}, {14,47}, {8,29}, {22,38}, {2,45}, {21,46}, {3,33}, {14,26}, {14,51}, {19,39}, {9,28}, {3,34}, {19,43}, {20,57}, {18,28}, {16,46}, {15,29}, {11,47}, {4,46}, {18,52}, {1,33}, {5,58}, {20,53}, {8,58}, {12,36}, {3,45}, {2,37}, {4,42}, {16,50}, {23,55}, {7,31}, {17,34}, {3,57}, {21,35}, {18,49}, {19,35}, {21,43}, {2,50}, {17,40}, {12,34}, {9,60}, {6,28}, {6,42}, {21,48}, {19,32}, {13,33}, {23,46}, {18,53}, {5,49}, {1,56}, {1,50}, {2,47}, {8,55}, {10,34}, {16,33}, {17,53}, {8,35}, {2,40}, {8,54}, {17,45}, {14,41}, {4,26}, {16,39}, {20,56}, {16,52}, {3,27}, {23,50}, {10,43}, {21,36}, {6,53}, {7,43}, {11,55}, {18,60}, {1,27}, {22,54}, {5,44}, {15,26}, {22,36}, {4,52}, {9,43}, {22,32}, {10,32}, {4,39}, {6,35}, {11,50}, {14,48}, {18,42}, {6,33}, {12,51}, {17,49}, {9,48}, {19,54}, {15,25}, {11,38}, {9,37} }; // ETB60.179 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 42467328 EdgesBipt[60][178]:={ {24,34}, {11,40}, {16,47}, {15,38}, {8,57}, {14,36}, {6,59}, {9,32}, {5,38}, {11,25}, {2,55}, {5,59}, {19,57}, {8,26}, {1,49}, {13,37}, {13,39}, {15,44}, {11,43}, {2,35}, {16,58}, {20,46}, {10,33}, {24,36}, {2,49}, {21,54}, {14,45}, {6,48}, {15,56}, {21,28}, {7,30}, {15,41}, {20,52}, {2,46}, {24,48}, {6,58}, {13,27}, {24,56}, {15,57}, {10,42}, {6,29}, {11,27}, {24,58}, {10,47}, {20,26}, {22,55}, {12,48}, {21,40}, {16,48}, {15,32}, {4,30}, {8,30}, {9,33}, {20,43}, {13,59}, {8,46}, {5,41}, {8,52}, {21,38}, {16,60}, {7,41}, {23,31}, {17,59}, {7,27}, {4,58}, {6,39}, {6,49}, {10,26}, {22,42}, {3,52}, {20,29}, {2,48}, {18,58}, {5,37}, {13,55}, {24,45}, {13,42}, {20,35}, {23,43}, {6,46}, {10,35}, {18,39}, {5,50}, {18,46}, {2,36}, {20,36}, {13,41}, {10,51}, {18,29}, {22,58}, {9,39}, {18,26}, {18,36}, {5,54}, {18,33}, {23,60}, {3,38}, {10,59}, {18,59}, {3,43}, {5,28}, {14,46}, {2,39}, {14,35}, {1,42}, {22,59}, {7,32}, {7,60}, {19,38}, {1,31}, {3,31}, {1,39}, {13,49}, {7,53}, {11,60}, {14,54}, {4,60}, {19,27}, {12,56}, {6,36}, {23,40}, {1,55}, {24,53}, {4,53}, {9,51}, {22,26}, {16,57}, {2,51}, {15,37}, {10,58}, {21,25}, {17,51}, {14,39}, {21,31}, {19,30}, {10,55}, {8,47}, {9,38}, {17,54}, {11,52}, {1,41}, {4,45}, {1,59}, {22,29}, {9,54}, {18,54}, {3,44}, {4,47}, {17,55}, {11,34}, {21,42}, {17,28}, {16,56}, {7,50}, {7,34}, {4,57}, {9,31}, {10,29}, {15,52}, {15,53}, {13,50}, {23,56}, {20,30}, {13,31}, {3,32}, {22,45}, {20,44}, {19,41}, {8,34}, {9,25}, {5,40}, {20,47}, {16,30}, {12,45}, {17,38}, {12,29}, {21,32}, {16,26}, {15,40}, {19,50}, {23,27}, {24,35}, {19,53}, {19,44}, {24,43}, {16,45}, {3,41}, {23,34}, {1,32}, {24,29}, {21,39}, {10,28}, {17,25}, {19,34}, {2,54}, {24,60}, {17,41}, {12,43}, {3,53}, {17,50}, {14,55}, {23,37}, {11,56}, {14,47}, {8,29}, {8,36}, {2,45}, {23,52}, {13,32}, {14,51}, {11,30}, {9,28}, {16,53}, {20,57}, {18,28}, {16,46}, {4,46}, {19,60}, {8,43}, {3,56}, {1,33}, {21,33}, {12,36}, {12,44}, {19,25}, {12,53}, {12,58}, {3,57}, {6,54}, {18,49}, {22,33}, {14,49}, {11,31}, {12,60}, {5,51}, {7,25}, {6,26}, {22,51}, {21,27}, {17,40}, {24,44}, {12,34}, {8,44}, {23,30}, {6,28}, {21,51}, {19,32}, {13,33}, {5,49}, {20,34}, {1,50}, {11,37}, {2,47}, {5,55}, {14,42}, {3,40}, {8,35}, {10,45}, {4,26}, {17,37}, {23,25}, {16,52}, {9,27}, {7,38}, {23,50}, {22,35}, {15,31}, {7,44}, {9,40}, {1,27}, {5,25}, {4,52}, {22,47}, {3,37}, {9,42}, {15,43}, {12,35}, {11,50}, {14,48}, {22,28}, {1,37}, {2,42}, {4,48}, {7,57}, {6,33}, {18,48}, {17,49}, {4,56} }; // ETB60.180 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9437184 EdgesBipt[60][179]:={ {24,34}, {15,33}, {6,52}, {18,45}, {19,28}, {16,47}, {15,38}, {6,59}, {16,51}, {19,26}, {4,28}, {2,55}, {5,59}, {11,59}, {19,57}, {2,60}, {3,26}, {22,40}, {1,49}, {13,39}, {11,43}, {14,50}, {4,31}, {14,31}, {24,32}, {21,41}, {24,36}, {14,56}, {21,54}, {2,49}, {15,56}, {20,37}, {16,28}, {5,32}, {4,51}, {4,40}, {20,52}, {13,43}, {14,29}, {23,44}, {14,44}, {11,35}, {22,55}, {19,31}, {15,32}, {2,52}, {9,33}, {20,43}, {8,37}, {9,57}, {5,41}, {8,52}, {21,38}, {23,31}, {12,26}, {17,59}, {13,30}, {7,27}, {23,36}, {10,26}, {7,33}, {20,29}, {13,47}, {24,30}, {5,37}, {16,25}, {9,56}, {20,35}, {23,43}, {23,42}, {12,37}, {13,51}, {16,34}, {2,56}, {6,46}, {23,58}, {15,45}, {10,35}, {6,44}, {24,26}, {20,55}, {18,57}, {5,50}, {2,29}, {1,38}, {18,46}, {20,36}, {16,40}, {20,42}, {22,34}, {24,37}, {22,58}, {9,36}, {1,43}, {11,51}, {9,39}, {8,42}, {23,60}, {3,38}, {19,46}, {18,59}, {5,28}, {24,41}, {9,59}, {12,27}, {1,39}, {13,49}, {6,27}, {11,42}, {5,53}, {15,50}, {19,49}, {8,48}, {11,60}, {14,60}, {2,44}, {1,30}, {19,27}, {11,36}, {1,47}, {10,57}, {22,26}, {10,38}, {10,58}, {13,25}, {17,51}, {17,58}, {10,55}, {8,47}, {9,38}, {7,46}, {11,58}, {3,29}, {4,45}, {1,51}, {13,53}, {21,57}, {9,54}, {12,41}, {18,54}, {11,44}, {4,47}, {24,39}, {3,25}, {17,28}, {22,30}, {12,30}, {6,30}, {4,33}, {7,58}, {24,25}, {23,51}, {1,25}, {23,56}, {23,35}, {19,55}, {8,53}, {3,32}, {18,44}, {22,45}, {7,28}, {6,45}, {14,52}, {15,46}, {10,30}, {20,47}, {5,40}, {4,34}, {12,29}, {11,32}, {22,53}, {9,52}, {12,25}, {3,42}, {22,57}, {13,38}, {21,59}, {14,40}, {7,49}, {9,41}, {16,31}, {16,45}, {23,59}, {7,39}, {1,54}, {24,29}, {21,39}, {6,37}, {24,27}, {6,57}, {20,48}, {2,41}, {17,41}, {17,50}, {10,40}, {14,55}, {1,60}, {11,56}, {14,47}, {18,30}, {8,29}, {21,52}, {22,38}, {8,36}, {3,48}, {3,33}, {23,32}, {3,50}, {19,33}, {19,39}, {4,27}, {19,43}, {7,55}, {15,29}, {18,52}, {8,43}, {3,56}, {2,31}, {20,28}, {21,33}, {18,27}, {5,58}, {20,53}, {12,36}, {16,27}, {3,45}, {12,44}, {4,25}, {21,34}, {7,31}, {12,39}, {6,54}, {14,49}, {11,31}, {15,48}, {1,53}, {5,51}, {15,42}, {2,50}, {10,53}, {17,40}, {24,44}, {12,34}, {19,58}, {6,42}, {21,48}, {4,35}, {5,49}, {13,54}, {7,26}, {10,60}, {2,47}, {16,35}, {8,55}, {10,34}, {16,33}, {17,53}, {13,60}, {8,35}, {10,45}, {2,40}, {21,56}, {18,50}, {14,41}, {16,54}, {17,37}, {12,32}, {22,35}, {21,36}, {8,28}, {7,43}, {15,26}, {1,46}, {9,34}, {13,46}, {17,32}, {22,60}, {6,50}, {18,42}, {7,57}, {17,49}, {3,46}, {9,48}, {17,48}, {5,48}, {15,25}, {18,37}, {4,54} }; // ETB60.181 // Bipartite(24,36) Valencies [12,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4718592 EdgesBipt[60][180]:={ {24,34}, {6,38}, {11,40}, {15,38}, {14,36}, {6,25}, {5,56}, {5,43}, {5,59}, {23,53}, {22,40}, {1,49}, {13,37}, {14,38}, {15,44}, {11,43}, {14,50}, {4,31}, {16,58}, {5,57}, {11,57}, {24,32}, {24,54}, {21,41}, {11,53}, {21,54}, {2,49}, {17,56}, {14,45}, {3,39}, {19,37}, {15,56}, {20,58}, {21,28}, {4,40}, {20,52}, {6,56}, {13,27}, {10,48}, {14,44}, {2,33}, {11,35}, {10,42}, {10,47}, {19,31}, {1,52}, {15,32}, {8,30}, {7,59}, {16,49}, {23,38}, {9,33}, {7,45}, {8,52}, {16,60}, {7,41}, {12,26}, {17,59}, {4,58}, {12,42}, {23,36}, {11,39}, {10,26}, {22,42}, {5,60}, {24,30}, {2,48}, {22,25}, {20,39}, {21,50}, {13,55}, {18,35}, {20,35}, {23,43}, {9,35}, {1,36}, {1,29}, {19,42}, {16,34}, {6,46}, {24,26}, {20,55}, {13,26}, {5,50}, {4,49}, {18,46}, {1,26}, {2,36}, {16,40}, {10,51}, {22,34}, {22,58}, {9,29}, {5,54}, {23,60}, {3,38}, {10,59}, {3,43}, {15,28}, {18,56}, {24,41}, {9,46}, {22,59}, {7,32}, {7,60}, {3,31}, {19,47}, {12,27}, {3,51}, {13,49}, {7,37}, {6,27}, {17,57}, {5,53}, {2,30}, {8,48}, {11,60}, {4,60}, {2,44}, {8,56}, {14,28}, {23,39}, {23,40}, {1,55}, {24,53}, {16,29}, {11,36}, {13,48}, {9,51}, {10,57}, {22,48}, {22,26}, {14,33}, {15,34}, {10,58}, {10,46}, {11,33}, {13,25}, {17,58}, {8,47}, {4,41}, {9,26}, {18,38}, {17,54}, {21,37}, {8,45}, {3,29}, {11,52}, {13,36}, {4,45}, {9,54}, {12,41}, {20,54}, {3,44}, {24,39}, {3,25}, {17,55}, {19,45}, {12,30}, {6,30}, {18,25}, {1,25}, {23,35}, {20,30}, {19,55}, {3,32}, {16,41}, {17,44}, {19,41}, {13,29}, {20,47}, {23,47}, {4,34}, {10,25}, {1,57}, {6,31}, {22,57}, {13,57}, {18,31}, {14,40}, {1,48}, {9,41}, {16,31}, {16,45}, {15,39}, {4,29}, {1,32}, {6,37}, {24,27}, {20,48}, {17,50}, {10,40}, {18,30}, {2,28}, {23,57}, {2,45}, {21,46}, {23,52}, {13,32}, {19,59}, {9,28}, {3,34}, {4,27}, {7,55}, {16,46}, {15,29}, {11,47}, {14,59}, {4,46}, {19,60}, {3,56}, {20,28}, {21,33}, {18,27}, {5,58}, {8,58}, {16,27}, {12,44}, {7,47}, {12,53}, {14,30}, {3,28}, {7,31}, {12,33}, {12,39}, {21,35}, {7,51}, {14,49}, {17,60}, {9,50}, {22,51}, {21,43}, {7,42}, {2,50}, {21,29}, {24,44}, {12,34}, {19,36}, {6,42}, {21,51}, {19,32}, {15,51}, {18,53}, {5,49}, {20,45}, {23,33}, {8,55}, {5,55}, {10,34}, {17,53}, {8,35}, {2,40}, {8,54}, {18,50}, {22,46}, {20,56}, {16,52}, {2,38}, {2,59}, {12,32}, {15,31}, {6,53}, {8,28}, {19,51}, {24,42}, {1,27}, {5,44}, {12,54}, {4,52}, {9,43}, {22,47}, {8,39}, {24,33}, {15,43}, {7,36}, {6,35}, {13,52}, {17,43}, {6,50}, {21,26}, {14,48}, {1,37}, {18,42}, {17,49}, {15,25}, {18,37}, {11,38}, {9,37} }; // ETB60.182 // Bipartite(30,30) Valencies [12,12] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 2880 EdgesBipt[60][181]:={ {24,34}, {7,48}, {6,38}, {15,59}, {8,57}, {27,48}, {14,36}, {11,49}, {3,58}, {23,53}, {27,59}, {11,59}, {28,44}, {11,43}, {15,54}, {14,50}, {4,31}, {8,40}, {16,58}, {26,43}, {3,35}, {10,33}, {14,31}, {29,48}, {30,40}, {30,41}, {24,36}, {2,49}, {10,39}, {26,37}, {6,48}, {20,37}, {20,58}, {5,32}, {4,51}, {1,35}, {30,59}, {4,37}, {20,52}, {13,43}, {6,56}, {14,57}, {10,48}, {27,56}, {13,40}, {14,44}, {2,33}, {4,38}, {21,53}, {15,57}, {24,58}, {10,47}, {20,38}, {2,34}, {19,31}, {21,40}, {4,43}, {1,52}, {16,49}, {23,38}, {13,59}, {28,50}, {28,31}, {16,60}, {21,38}, {29,44}, {12,38}, {20,49}, {7,41}, {26,55}, {12,42}, {25,34}, {22,42}, {7,33}, {3,52}, {12,40}, {5,60}, {29,55}, {24,47}, {18,35}, {9,56}, {24,45}, {13,42}, {1,36}, {12,37}, {13,58}, {20,55}, {18,57}, {27,53}, {29,31}, {12,52}, {18,47}, {20,36}, {25,52}, {28,60}, {26,36}, {22,58}, {11,51}, {8,42}, {18,36}, {22,43}, {19,46}, {18,59}, {21,55}, {18,56}, {9,59}, {26,42}, {3,47}, {27,40}, {19,56}, {7,60}, {1,31}, {19,47}, {1,39}, {7,53}, {9,58}, {28,42}, {3,36}, {26,41}, {27,57}, {4,32}, {25,44}, {21,45}, {8,56}, {6,36}, {23,39}, {11,36}, {3,55}, {1,47}, {10,57}, {14,33}, {2,51}, {15,37}, {15,34}, {10,46}, {11,33}, {22,56}, {30,49}, {17,51}, {30,51}, {14,39}, {25,59}, {11,48}, {10,55}, {8,47}, {9,38}, {24,55}, {21,37}, {17,54}, {8,45}, {3,59}, {29,36}, {1,41}, {4,45}, {12,55}, {1,59}, {13,53}, {30,56}, {25,32}, {12,41}, {26,54}, {13,45}, {23,48}, {25,49}, {17,55}, {11,34}, {24,59}, {11,46}, {2,43}, {5,52}, {27,34}, {22,44}, {9,31}, {7,58}, {17,46}, {15,53}, {25,46}, {22,31}, {22,50}, {23,56}, {23,35}, {18,44}, {16,41}, {6,45}, {20,44}, {19,41}, {8,34}, {14,52}, {5,40}, {4,50}, {25,45}, {28,37}, {21,60}, {12,45}, {4,34}, {17,38}, {6,31}, {15,40}, {10,52}, {22,57}, {27,35}, {14,37}, {10,54}, {21,59}, {19,53}, {27,58}, {7,49}, {1,48}, {24,43}, {9,41}, {16,31}, {3,41}, {15,39}, {1,54}, {21,39}, {30,32}, {6,43}, {6,37}, {8,32}, {24,51}, {6,57}, {26,53}, {16,44}, {4,44}, {29,54}, {24,60}, {12,50}, {3,53}, {17,50}, {18,41}, {10,40}, {29,45}, {1,60}, {27,46}, {11,56}, {23,57}, {21,52}, {28,39}, {23,52}, {5,46}, {3,33}, {13,32}, {1,45}, {10,50}, {23,32}, {14,51}, {27,49}, {19,33}, {19,39}, {29,58}, {19,43}, {7,55}, {20,57}, {16,46}, {11,47}, {18,52}, {19,60}, {25,39}, {16,38}, {16,50}, {30,53}, {7,31}, {5,47}, {30,33}, {2,57}, {28,54}, {17,34}, {6,54}, {18,49}, {15,47}, {14,49}, {22,33}, {7,51}, {11,31}, {28,55}, {26,50}, {5,51}, {17,60}, {13,35}, {2,50}, {29,46}, {24,44}, {9,60}, {8,44}, {26,57}, {21,48}, {21,51}, {19,32}, {15,51}, {5,49}, {13,54}, {20,34}, {20,45}, {23,33}, {16,35}, {29,50}, {5,55}, {10,34}, {17,53}, {3,40}, {13,60}, {8,35}, {2,40}, {8,54}, {9,45}, {22,46}, {16,52}, {7,38}, {5,42}, {2,38}, {23,50}, {12,32}, {15,36}, {22,35}, {6,53}, {9,49}, {24,42}, {20,40}, {5,44}, {12,54}, {9,43}, {22,47}, {26,33}, {8,39}, {29,35}, {9,42}, {23,41}, {15,43}, {13,46}, {25,60}, {4,39}, {25,48}, {12,35}, {7,36}, {6,35}, {17,32}, {29,34}, {28,51}, {28,41}, {17,43}, {26,58}, {14,48}, {2,42}, {30,39}, {30,42}, {30,37}, {18,42}, {16,32}, {2,32}, {25,56}, {3,46}, {19,54}, {17,48}, {18,37}, {2,58}, {5,33}, {28,47}, {4,56}, {9,37}, {27,38} }; // ETB60.183 // Bipartite(30,30) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 1440 EdgesBipt[60][182]:={ {24,34}, {6,52}, {7,48}, {30,54}, {11,40}, {16,47}, {15,38}, {27,48}, {14,36}, {26,46}, {25,37}, {5,43}, {3,58}, {5,59}, {23,53}, {11,59}, {19,57}, {5,45}, {2,60}, {22,40}, {13,37}, {1,40}, {26,49}, {28,44}, {11,43}, {14,50}, {17,33}, {4,31}, {8,40}, {16,58}, {5,57}, {20,46}, {11,57}, {11,53}, {21,54}, {2,49}, {14,56}, {16,37}, {19,37}, {3,39}, {15,56}, {4,51}, {2,46}, {14,57}, {10,48}, {27,56}, {14,44}, {27,54}, {2,33}, {24,56}, {3,49}, {24,58}, {27,36}, {2,34}, {19,31}, {12,48}, {16,42}, {1,52}, {20,43}, {8,46}, {29,57}, {17,39}, {6,60}, {21,38}, {29,44}, {12,38}, {20,49}, {7,41}, {26,55}, {17,59}, {6,39}, {7,33}, {3,52}, {13,47}, {5,60}, {18,58}, {20,39}, {29,55}, {24,50}, {18,35}, {9,56}, {24,31}, {13,42}, {23,43}, {9,35}, {19,42}, {13,51}, {18,39}, {29,49}, {20,55}, {17,47}, {5,50}, {12,52}, {30,36}, {5,34}, {29,47}, {14,32}, {2,36}, {13,41}, {25,52}, {16,40}, {10,51}, {26,36}, {22,58}, {9,36}, {6,34}, {9,39}, {6,51}, {23,60}, {10,59}, {16,59}, {19,46}, {21,55}, {2,39}, {1,42}, {22,59}, {28,40}, {7,32}, {19,38}, {1,31}, {3,31}, {27,60}, {18,55}, {9,58}, {15,50}, {3,36}, {30,55}, {11,60}, {26,41}, {25,44}, {2,44}, {8,56}, {8,50}, {12,56}, {23,40}, {24,53}, {11,36}, {13,48}, {27,52}, {10,57}, {14,33}, {15,37}, {10,38}, {10,58}, {30,49}, {30,51}, {14,39}, {21,31}, {25,59}, {8,47}, {8,41}, {9,38}, {27,37}, {21,37}, {28,48}, {7,46}, {29,36}, {1,41}, {4,45}, {26,44}, {12,55}, {1,59}, {25,32}, {18,54}, {4,47}, {17,55}, {21,42}, {7,35}, {19,45}, {27,34}, {4,33}, {4,57}, {9,31}, {25,41}, {7,58}, {25,46}, {22,31}, {23,56}, {5,39}, {24,38}, {8,53}, {20,44}, {25,31}, {17,44}, {8,34}, {23,47}, {25,45}, {28,37}, {15,35}, {28,45}, {6,31}, {11,32}, {30,48}, {10,52}, {3,42}, {14,43}, {22,57}, {13,57}, {1,44}, {13,38}, {15,49}, {24,35}, {10,54}, {26,59}, {19,44}, {1,48}, {24,43}, {16,45}, {25,38}, {23,59}, {23,34}, {15,39}, {22,52}, {4,59}, {21,39}, {6,43}, {8,32}, {24,51}, {3,60}, {16,44}, {21,49}, {24,60}, {7,40}, {2,41}, {12,43}, {20,32}, {3,53}, {29,41}, {17,50}, {10,40}, {29,45}, {11,56}, {14,47}, {23,57}, {22,38}, {8,36}, {13,44}, {5,46}, {3,48}, {13,32}, {23,32}, {27,49}, {19,33}, {3,34}, {30,35}, {20,57}, {26,60}, {4,46}, {18,52}, {11,45}, {1,33}, {12,36}, {2,53}, {29,53}, {7,47}, {4,42}, {12,53}, {27,55}, {30,53}, {10,41}, {21,34}, {7,31}, {8,33}, {5,47}, {12,58}, {28,54}, {6,54}, {18,49}, {14,49}, {20,33}, {15,48}, {12,60}, {24,52}, {11,41}, {17,60}, {9,50}, {26,32}, {15,42}, {22,51}, {13,35}, {21,43}, {7,42}, {17,40}, {30,50}, {28,35}, {6,42}, {4,35}, {21,51}, {19,32}, {13,33}, {15,51}, {23,46}, {18,53}, {28,57}, {20,34}, {20,45}, {16,35}, {29,50}, {5,55}, {16,33}, {17,53}, {10,45}, {2,40}, {21,56}, {17,45}, {18,50}, {14,41}, {16,54}, {22,46}, {26,34}, {20,56}, {16,52}, {7,38}, {2,59}, {23,50}, {15,36}, {22,35}, {6,55}, {11,55}, {19,51}, {18,60}, {12,54}, {25,54}, {9,53}, {4,52}, {22,47}, {1,46}, {27,31}, {3,37}, {22,32}, {8,39}, {9,42}, {28,58}, {30,43}, {9,34}, {15,43}, {10,32}, {25,48}, {29,43}, {6,35}, {28,51}, {28,41}, {6,50}, {1,37}, {1,58}, {26,56}, {30,37}, {18,42}, {26,45}, {12,51}, {17,49}, {9,48}, {19,54}, {18,37}, {5,33}, {28,47}, {4,54}, {30,58}, {27,38}, {29,40} }; // ETB60.184 // Bipartite(30,30) Valencies [12,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 720 EdgesBipt[60][183]:={ {24,34}, {18,45}, {6,52}, {16,47}, {15,38}, {11,49}, {5,43}, {2,55}, {3,58}, {23,53}, {25,47}, {27,59}, {19,57}, {5,45}, {22,40}, {1,49}, {1,40}, {17,42}, {13,39}, {15,54}, {4,31}, {26,43}, {3,35}, {20,46}, {11,57}, {14,31}, {30,41}, {27,33}, {24,36}, {14,56}, {2,49}, {10,39}, {19,37}, {15,56}, {20,37}, {1,35}, {30,59}, {15,41}, {28,52}, {4,37}, {2,46}, {6,56}, {13,43}, {14,57}, {23,44}, {10,48}, {27,54}, {24,56}, {11,35}, {10,47}, {22,55}, {12,48}, {21,40}, {4,43}, {18,32}, {15,32}, {2,52}, {23,38}, {7,59}, {12,46}, {7,45}, {8,46}, {28,31}, {5,41}, {17,39}, {8,52}, {21,38}, {16,60}, {29,44}, {12,38}, {29,56}, {4,58}, {23,36}, {6,39}, {25,34}, {6,49}, {22,42}, {7,33}, {19,48}, {12,40}, {3,52}, {27,50}, {2,48}, {19,52}, {5,37}, {13,55}, {24,31}, {23,43}, {20,35}, {9,35}, {19,42}, {12,37}, {13,51}, {16,34}, {2,56}, {23,58}, {6,46}, {15,45}, {10,35}, {18,39}, {29,49}, {28,43}, {20,55}, {18,57}, {27,53}, {29,31}, {9,47}, {4,49}, {5,50}, {30,36}, {18,47}, {1,38}, {14,32}, {13,41}, {8,49}, {20,36}, {16,40}, {28,60}, {20,42}, {10,51}, {26,36}, {22,58}, {9,36}, {12,49}, {11,51}, {18,36}, {5,54}, {18,33}, {22,43}, {16,59}, {18,59}, {3,43}, {24,41}, {24,40}, {26,42}, {27,39}, {22,59}, {7,60}, {19,38}, {3,31}, {3,51}, {27,60}, {18,55}, {7,37}, {28,53}, {5,53}, {5,35}, {15,50}, {19,49}, {8,48}, {14,54}, {26,41}, {25,44}, {29,52}, {18,51}, {24,53}, {3,55}, {16,57}, {14,33}, {2,51}, {10,46}, {11,33}, {22,56}, {30,49}, {17,51}, {14,39}, {10,55}, {8,47}, {24,55}, {17,54}, {28,48}, {7,46}, {28,34}, {11,52}, {1,41}, {12,55}, {13,53}, {30,56}, {9,54}, {4,47}, {13,45}, {8,59}, {17,55}, {7,35}, {2,43}, {15,58}, {27,34}, {4,33}, {7,50}, {22,44}, {25,41}, {23,51}, {22,31}, {13,50}, {13,31}, {5,39}, {24,38}, {19,55}, {3,32}, {18,44}, {6,45}, {17,44}, {8,34}, {4,50}, {25,45}, {21,60}, {26,47}, {17,38}, {25,53}, {1,57}, {26,31}, {6,31}, {11,32}, {9,52}, {30,48}, {21,32}, {15,40}, {10,52}, {13,57}, {13,38}, {10,54}, {30,44}, {21,59}, {26,59}, {27,58}, {19,44}, {14,40}, {7,49}, {20,59}, {23,59}, {7,39}, {23,34}, {1,32}, {20,60}, {20,48}, {19,34}, {21,49}, {24,60}, {2,41}, {12,50}, {20,32}, {3,53}, {25,42}, {17,50}, {10,40}, {14,55}, {14,47}, {29,37}, {29,42}, {23,57}, {21,52}, {8,36}, {14,58}, {21,46}, {5,46}, {29,60}, {6,47}, {3,48}, {16,36}, {23,32}, {29,58}, {20,57}, {11,47}, {26,60}, {25,36}, {25,39}, {2,31}, {16,38}, {11,45}, {5,58}, {29,53}, {24,57}, {16,50}, {21,34}, {12,33}, {8,33}, {12,39}, {17,34}, {3,57}, {21,35}, {28,36}, {15,47}, {21,44}, {1,53}, {26,50}, {17,60}, {9,50}, {22,51}, {7,42}, {6,41}, {17,40}, {9,60}, {8,44}, {19,36}, {28,35}, {27,44}, {21,51}, {13,33}, {15,51}, {1,56}, {11,37}, {16,33}, {10,45}, {2,40}, {8,54}, {17,45}, {9,45}, {12,57}, {16,54}, {2,38}, {30,46}, {6,53}, {28,59}, {7,44}, {19,51}, {24,42}, {27,43}, {20,40}, {12,54}, {25,54}, {4,52}, {26,33}, {14,53}, {1,46}, {27,31}, {3,37}, {22,32}, {8,39}, {29,35}, {23,41}, {9,42}, {30,43}, {9,34}, {15,43}, {10,32}, {6,35}, {29,34}, {11,50}, {22,60}, {28,41}, {25,58}, {1,37}, {1,58}, {26,56}, {30,42}, {30,37}, {18,42}, {16,32}, {4,48}, {26,45}, {6,33}, {25,56}, {9,48}, {5,48}, {4,56}, {4,54}, {30,58}, {11,38}, {28,46}, {9,37} }; // ETB60.185 // Bipartite(30,30) Valencies [12,12] // Diameter 5 Girth 4 // Has twins VT AT // Automorphism group of order 748781248524897484800000000000 EdgesBipt[60][184]:={ {6,38}, {30,54}, {10,37}, {15,59}, {14,36}, {26,46}, {16,51}, {25,37}, {2,55}, {3,58}, {5,59}, {23,53}, {25,47}, {25,57}, {2,60}, {22,40}, {17,42}, {13,39}, {28,44}, {15,44}, {11,43}, {15,54}, {14,50}, {2,35}, {4,31}, {16,58}, {5,57}, {26,43}, {14,31}, {21,41}, {24,36}, {11,53}, {14,56}, {10,39}, {14,45}, {6,48}, {3,39}, {20,37}, {5,32}, {4,51}, {30,59}, {4,40}, {20,52}, {13,43}, {6,56}, {6,58}, {23,44}, {17,35}, {24,56}, {3,49}, {21,53}, {15,57}, {10,42}, {10,47}, {19,40}, {22,55}, {19,31}, {22,37}, {26,38}, {16,48}, {30,52}, {15,32}, {2,52}, {23,38}, {13,59}, {7,45}, {24,46}, {21,38}, {20,49}, {29,56}, {23,54}, {30,57}, {12,42}, {25,34}, {22,42}, {12,40}, {27,50}, {18,58}, {20,39}, {29,55}, {5,37}, {27,32}, {24,50}, {9,56}, {24,31}, {24,45}, {23,43}, {9,35}, {1,36}, {12,37}, {6,46}, {23,58}, {29,51}, {16,43}, {18,39}, {13,58}, {28,43}, {8,38}, {29,31}, {17,47}, {12,52}, {5,34}, {1,38}, {8,49}, {25,52}, {20,42}, {26,36}, {9,36}, {1,43}, {11,51}, {18,33}, {5,54}, {6,51}, {3,38}, {10,59}, {19,46}, {18,59}, {3,43}, {24,41}, {14,46}, {27,45}, {9,46}, {24,40}, {14,35}, {7,32}, {27,40}, {19,56}, {7,60}, {1,31}, {27,60}, {13,49}, {7,37}, {28,53}, {17,57}, {8,48}, {26,41}, {27,57}, {14,60}, {25,44}, {4,60}, {12,47}, {6,36}, {23,39}, {30,47}, {11,36}, {13,48}, {9,51}, {27,52}, {10,57}, {26,51}, {15,37}, {15,34}, {11,33}, {30,49}, {9,55}, {21,31}, {25,59}, {11,48}, {4,41}, {27,37}, {24,55}, {18,38}, {28,48}, {3,59}, {28,34}, {11,58}, {29,36}, {1,41}, {4,45}, {12,55}, {1,51}, {13,53}, {28,49}, {25,32}, {18,54}, {20,54}, {3,44}, {8,59}, {23,48}, {25,49}, {17,55}, {7,35}, {19,45}, {11,46}, {16,56}, {5,52}, {7,50}, {9,31}, {10,44}, {15,52}, {22,50}, {5,39}, {19,55}, {8,53}, {18,44}, {22,45}, {16,41}, {20,44}, {19,41}, {8,34}, {20,47}, {4,50}, {21,58}, {12,45}, {26,31}, {6,31}, {17,52}, {10,52}, {19,50}, {22,57}, {27,35}, {13,38}, {15,49}, {24,35}, {10,54}, {30,44}, {14,40}, {1,48}, {9,41}, {16,31}, {20,59}, {23,59}, {23,34}, {4,36}, {15,39}, {22,52}, {30,32}, {7,52}, {6,43}, {24,51}, {26,48}, {26,53}, {24,60}, {7,40}, {12,50}, {20,32}, {3,53}, {25,42}, {29,41}, {17,50}, {29,45}, {14,55}, {11,56}, {28,39}, {13,44}, {2,45}, {21,46}, {4,55}, {29,60}, {3,48}, {3,33}, {16,36}, {14,51}, {3,34}, {16,53}, {7,55}, {20,57}, {16,46}, {27,47}, {4,46}, {19,60}, {8,43}, {25,39}, {16,38}, {1,33}, {21,33}, {3,54}, {8,58}, {7,47}, {2,37}, {27,55}, {8,33}, {5,47}, {2,57}, {28,54}, {28,33}, {18,49}, {15,47}, {11,31}, {1,53}, {19,35}, {12,60}, {13,34}, {11,41}, {17,60}, {9,50}, {15,42}, {30,34}, {21,43}, {7,42}, {2,50}, {6,41}, {23,49}, {29,46}, {17,40}, {9,60}, {8,44}, {19,36}, {4,35}, {21,48}, {21,51}, {13,33}, {18,43}, {18,53}, {5,49}, {1,56}, {13,54}, {20,34}, {23,33}, {2,47}, {29,50}, {10,34}, {16,33}, {2,40}, {8,54}, {21,56}, {17,45}, {9,45}, {14,41}, {12,57}, {17,37}, {28,38}, {5,42}, {12,32}, {22,35}, {21,36}, {6,53}, {28,59}, {27,42}, {9,40}, {19,51}, {5,44}, {25,54}, {22,47}, {26,33}, {1,46}, {8,39}, {22,32}, {29,35}, {28,58}, {10,32}, {12,35}, {17,32}, {22,60}, {26,58}, {1,58}, {26,56}, {2,42}, {30,39}, {30,42}, {30,37}, {7,57}, {6,33}, {2,32}, {18,34}, {18,48}, {4,56}, {11,38}, {10,49}, {29,40} }; // ETB60.186 // Bipartite(30,30) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1403964840984182784000000 EdgesBipt[60][185]:={ {7,48}, {6,38}, {15,59}, {27,48}, {14,36}, {6,59}, {11,49}, {16,51}, {5,59}, {23,53}, {11,59}, {19,57}, {5,45}, {1,49}, {25,40}, {17,42}, {26,49}, {28,44}, {17,33}, {4,31}, {8,40}, {16,58}, {14,31}, {30,40}, {27,33}, {21,41}, {24,36}, {14,56}, {21,54}, {10,39}, {14,45}, {6,48}, {19,37}, {5,32}, {4,51}, {30,59}, {4,37}, {20,52}, {13,43}, {6,58}, {14,57}, {23,44}, {13,40}, {2,33}, {24,56}, {10,42}, {19,31}, {22,37}, {26,38}, {12,48}, {16,48}, {30,52}, {15,32}, {2,52}, {16,49}, {28,50}, {8,46}, {9,57}, {26,39}, {29,57}, {24,46}, {21,38}, {12,38}, {20,49}, {29,56}, {23,54}, {12,42}, {6,39}, {23,36}, {11,39}, {6,49}, {22,42}, {7,33}, {5,60}, {2,48}, {20,39}, {29,55}, {27,32}, {24,47}, {9,56}, {24,31}, {24,45}, {20,35}, {23,43}, {9,35}, {12,37}, {16,34}, {29,51}, {15,45}, {10,35}, {6,44}, {28,43}, {20,55}, {27,53}, {29,31}, {17,47}, {9,47}, {12,52}, {5,50}, {1,38}, {18,46}, {29,47}, {25,52}, {28,60}, {20,42}, {24,37}, {22,58}, {9,36}, {6,34}, {11,51}, {18,36}, {18,33}, {6,51}, {22,43}, {23,60}, {10,59}, {16,59}, {19,46}, {3,43}, {18,56}, {24,41}, {14,46}, {9,46}, {14,35}, {28,40}, {7,32}, {19,56}, {1,31}, {19,47}, {1,39}, {7,37}, {28,53}, {17,57}, {7,53}, {5,35}, {15,50}, {3,36}, {30,55}, {26,41}, {27,57}, {8,56}, {8,50}, {12,47}, {23,40}, {9,51}, {27,52}, {22,48}, {26,51}, {8,60}, {30,49}, {9,55}, {17,58}, {21,31}, {25,59}, {11,48}, {10,55}, {4,41}, {27,37}, {24,55}, {28,34}, {11,58}, {29,36}, {13,36}, {1,41}, {4,45}, {26,44}, {1,51}, {1,59}, {13,53}, {25,32}, {18,54}, {26,54}, {11,44}, {4,47}, {3,44}, {25,49}, {11,34}, {19,45}, {15,60}, {2,43}, {5,52}, {4,57}, {9,31}, {7,58}, {15,52}, {13,56}, {13,50}, {23,56}, {5,39}, {19,55}, {8,53}, {18,44}, {16,41}, {19,41}, {8,34}, {5,40}, {21,58}, {25,45}, {17,38}, {15,35}, {26,31}, {6,31}, {17,52}, {22,53}, {11,54}, {15,40}, {10,52}, {22,57}, {14,37}, {1,44}, {15,49}, {24,35}, {21,59}, {26,59}, {27,58}, {1,48}, {9,41}, {16,31}, {20,59}, {23,34}, {4,36}, {15,39}, {1,54}, {22,52}, {25,50}, {21,39}, {30,32}, {7,52}, {20,60}, {24,51}, {26,48}, {3,60}, {16,44}, {21,49}, {12,43}, {20,32}, {3,53}, {25,42}, {29,41}, {10,40}, {29,45}, {14,55}, {14,47}, {29,37}, {30,60}, {22,38}, {8,36}, {13,44}, {4,55}, {3,33}, {30,45}, {20,50}, {10,50}, {14,51}, {3,50}, {3,34}, {30,35}, {27,47}, {4,46}, {8,43}, {25,39}, {3,56}, {16,38}, {3,54}, {2,53}, {7,47}, {24,57}, {2,37}, {12,53}, {21,34}, {12,33}, {8,33}, {12,58}, {2,57}, {28,54}, {6,54}, {28,33}, {28,36}, {15,55}, {22,33}, {11,31}, {21,44}, {19,35}, {13,34}, {11,41}, {15,42}, {1,34}, {7,42}, {6,41}, {28,56}, {29,46}, {30,50}, {8,44}, {19,36}, {21,48}, {21,51}, {4,35}, {13,33}, {18,43}, {23,46}, {18,53}, {5,49}, {13,54}, {20,45}, {10,60}, {23,33}, {2,47}, {5,55}, {17,53}, {3,40}, {13,60}, {10,45}, {8,54}, {9,45}, {14,41}, {18,50}, {12,57}, {16,54}, {17,37}, {16,39}, {26,34}, {7,38}, {5,42}, {2,38}, {23,50}, {12,32}, {25,35}, {27,42}, {7,43}, {18,40}, {19,51}, {27,43}, {20,40}, {18,60}, {22,47}, {22,32}, {29,35}, {25,55}, {10,32}, {13,46}, {25,60}, {17,32}, {17,43}, {26,58}, {1,58}, {2,42}, {30,39}, {30,42}, {7,57}, {2,32}, {18,34}, {3,46}, {17,48}, {2,58}, {4,56}, {11,38}, {10,49}, {28,46}, {9,37}, {27,38} }; // ETB60.187 // Bipartite(30,30) Valencies [12,12] // Diameter 4 Girth 4 // Has twins VT AT // Automorphism group of order 292492675205038080 EdgesBipt[60][186]:={ {30,54}, {15,38}, {15,59}, {8,57}, {14,36}, {6,59}, {9,32}, {5,38}, {25,37}, {5,59}, {25,47}, {8,51}, {25,57}, {2,60}, {22,40}, {25,40}, {14,38}, {26,49}, {17,33}, {5,57}, {26,43}, {3,35}, {20,46}, {10,33}, {30,41}, {16,55}, {27,33}, {21,41}, {24,36}, {14,56}, {14,45}, {29,39}, {28,52}, {8,31}, {4,37}, {24,48}, {14,57}, {23,44}, {13,40}, {17,35}, {24,56}, {4,38}, {10,56}, {15,57}, {24,58}, {2,34}, {12,48}, {18,32}, {1,52}, {2,52}, {23,45}, {16,49}, {9,33}, {20,43}, {29,33}, {7,45}, {28,31}, {8,37}, {26,39}, {24,46}, {6,60}, {8,52}, {21,38}, {16,60}, {29,44}, {12,38}, {7,41}, {26,55}, {23,54}, {4,58}, {12,42}, {6,39}, {23,36}, {6,49}, {22,42}, {7,33}, {12,40}, {5,60}, {2,48}, {19,52}, {5,37}, {27,41}, {24,47}, {26,35}, {13,55}, {24,45}, {1,36}, {19,42}, {16,43}, {18,39}, {29,49}, {18,57}, {27,53}, {17,47}, {5,50}, {12,52}, {30,36}, {18,47}, {1,38}, {20,36}, {8,49}, {16,40}, {10,51}, {22,34}, {24,37}, {22,58}, {11,51}, {9,39}, {8,42}, {23,60}, {29,32}, {16,59}, {18,59}, {20,41}, {14,46}, {27,45}, {9,59}, {14,35}, {1,42}, {1,31}, {7,37}, {17,57}, {11,42}, {7,53}, {30,31}, {28,42}, {15,50}, {3,36}, {19,49}, {27,57}, {2,44}, {23,40}, {29,52}, {18,51}, {11,36}, {3,55}, {22,48}, {10,36}, {15,37}, {20,51}, {10,46}, {17,51}, {30,51}, {21,31}, {25,59}, {11,48}, {8,47}, {8,41}, {27,37}, {24,55}, {29,59}, {11,58}, {11,52}, {17,31}, {13,36}, {1,41}, {4,45}, {1,51}, {28,49}, {30,56}, {9,54}, {20,54}, {20,31}, {13,45}, {4,47}, {3,44}, {8,59}, {25,49}, {17,55}, {21,42}, {7,35}, {15,60}, {11,46}, {15,58}, {22,44}, {10,31}, {4,57}, {10,44}, {13,56}, {22,50}, {13,50}, {23,56}, {23,35}, {5,39}, {24,38}, {6,45}, {20,44}, {5,40}, {21,58}, {28,37}, {11,32}, {9,52}, {27,51}, {21,32}, {15,40}, {27,35}, {14,37}, {15,49}, {24,35}, {10,54}, {30,44}, {19,53}, {26,59}, {19,44}, {18,31}, {1,48}, {16,45}, {25,38}, {23,34}, {4,36}, {15,39}, {1,32}, {9,44}, {22,52}, {25,50}, {28,32}, {6,43}, {8,32}, {26,53}, {19,34}, {3,60}, {29,54}, {2,54}, {12,50}, {17,41}, {18,41}, {14,55}, {11,56}, {14,47}, {29,42}, {21,52}, {22,38}, {28,39}, {13,44}, {14,58}, {21,46}, {4,55}, {19,59}, {3,50}, {19,33}, {19,39}, {3,34}, {16,53}, {19,43}, {7,55}, {27,47}, {26,60}, {4,46}, {18,52}, {25,39}, {3,56}, {5,58}, {3,54}, {20,53}, {3,45}, {12,44}, {29,53}, {7,47}, {24,57}, {16,50}, {27,55}, {30,53}, {10,41}, {23,55}, {7,31}, {5,47}, {12,58}, {30,33}, {18,49}, {15,47}, {7,51}, {11,31}, {20,33}, {15,48}, {12,60}, {26,50}, {13,34}, {11,41}, {30,34}, {13,35}, {2,50}, {10,53}, {12,34}, {21,48}, {21,51}, {4,35}, {19,32}, {23,46}, {5,49}, {28,57}, {1,56}, {13,54}, {20,34}, {16,35}, {10,34}, {16,33}, {17,53}, {3,40}, {13,60}, {2,40}, {21,56}, {17,45}, {17,37}, {16,39}, {20,56}, {2,38}, {23,50}, {12,32}, {10,43}, {21,36}, {30,46}, {6,55}, {6,53}, {28,59}, {9,49}, {7,43}, {26,40}, {27,43}, {22,54}, {12,54}, {9,53}, {9,43}, {26,33}, {1,46}, {27,31}, {8,39}, {22,32}, {9,42}, {30,43}, {9,34}, {13,46}, {25,60}, {25,48}, {29,43}, {6,35}, {29,34}, {28,51}, {22,60}, {28,41}, {17,43}, {25,58}, {6,50}, {14,48}, {1,58}, {2,42}, {18,42}, {4,48}, {7,57}, {26,45}, {2,32}, {6,33}, {3,46}, {19,54}, {5,48}, {18,37}, {2,58}, {28,47}, {4,56}, {11,38}, {6,40} }; // ETB60.188 // Bipartite(30,30) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14511882240 EdgesBipt[60][187]:={ {24,34}, {15,33}, {6,38}, {16,47}, {8,57}, {14,36}, {26,46}, {5,56}, {27,59}, {8,51}, {25,57}, {2,60}, {14,38}, {17,42}, {26,49}, {15,44}, {11,43}, {15,54}, {5,57}, {3,35}, {11,57}, {29,48}, {30,40}, {24,32}, {24,54}, {24,36}, {11,53}, {2,49}, {14,56}, {10,39}, {26,37}, {16,37}, {19,37}, {15,56}, {30,59}, {15,41}, {28,52}, {14,57}, {23,44}, {27,54}, {2,33}, {24,56}, {4,38}, {21,53}, {3,49}, {15,57}, {10,42}, {24,58}, {10,47}, {19,40}, {19,31}, {26,38}, {12,48}, {16,42}, {2,52}, {23,45}, {23,38}, {7,59}, {16,49}, {20,43}, {13,59}, {8,46}, {8,37}, {5,41}, {17,39}, {8,52}, {7,41}, {17,59}, {4,58}, {23,36}, {25,34}, {11,39}, {6,49}, {12,31}, {19,48}, {13,47}, {2,48}, {18,58}, {20,39}, {19,52}, {27,41}, {26,35}, {13,42}, {1,36}, {23,42}, {16,34}, {2,56}, {6,46}, {29,51}, {6,44}, {29,49}, {28,43}, {20,55}, {18,57}, {29,31}, {9,47}, {12,52}, {5,50}, {30,36}, {5,34}, {18,46}, {29,47}, {14,32}, {20,36}, {25,52}, {16,40}, {20,42}, {10,51}, {6,34}, {1,43}, {12,49}, {7,54}, {5,54}, {23,60}, {3,38}, {10,59}, {19,46}, {21,55}, {9,46}, {26,42}, {14,35}, {3,47}, {27,39}, {27,40}, {1,31}, {19,47}, {25,33}, {18,55}, {1,39}, {13,49}, {7,37}, {28,53}, {5,53}, {5,35}, {14,34}, {30,31}, {15,50}, {3,36}, {19,49}, {30,55}, {8,48}, {14,54}, {26,41}, {4,32}, {25,44}, {22,49}, {2,44}, {21,45}, {12,56}, {29,52}, {1,55}, {18,51}, {30,47}, {11,36}, {9,51}, {22,48}, {10,36}, {14,33}, {20,51}, {15,34}, {11,33}, {22,56}, {17,51}, {17,58}, {30,51}, {14,39}, {21,31}, {11,48}, {10,55}, {8,41}, {27,37}, {17,54}, {28,48}, {3,59}, {11,58}, {13,36}, {26,44}, {21,57}, {18,54}, {20,31}, {13,45}, {3,44}, {24,39}, {17,55}, {24,59}, {5,52}, {27,34}, {4,33}, {22,44}, {7,34}, {10,31}, {9,31}, {4,57}, {25,41}, {7,58}, {15,52}, {15,53}, {13,56}, {25,46}, {22,31}, {22,50}, {23,56}, {23,35}, {24,38}, {8,53}, {3,32}, {22,45}, {16,41}, {15,46}, {20,47}, {21,58}, {23,47}, {28,37}, {12,45}, {26,47}, {4,34}, {17,38}, {15,35}, {25,53}, {1,57}, {11,32}, {22,53}, {9,52}, {27,51}, {21,32}, {3,42}, {19,50}, {13,38}, {24,35}, {27,58}, {1,48}, {20,59}, {23,59}, {7,39}, {4,36}, {1,32}, {22,52}, {25,50}, {4,59}, {21,39}, {20,60}, {6,37}, {3,60}, {16,44}, {7,40}, {12,50}, {17,41}, {18,41}, {10,40}, {29,37}, {30,60}, {13,44}, {14,58}, {2,45}, {5,46}, {29,60}, {6,47}, {13,32}, {1,45}, {30,45}, {23,32}, {19,43}, {7,55}, {16,46}, {14,59}, {18,52}, {19,60}, {8,43}, {3,56}, {2,31}, {16,38}, {11,45}, {1,33}, {21,33}, {8,58}, {3,45}, {2,53}, {12,44}, {24,57}, {16,50}, {12,53}, {27,55}, {12,33}, {28,54}, {17,34}, {7,51}, {22,33}, {11,31}, {1,53}, {28,55}, {12,60}, {26,50}, {9,50}, {13,35}, {21,43}, {7,42}, {2,50}, {6,41}, {23,49}, {29,46}, {17,40}, {9,60}, {6,42}, {21,48}, {4,35}, {18,43}, {18,53}, {28,57}, {20,45}, {10,60}, {16,35}, {8,55}, {29,50}, {13,60}, {10,45}, {8,54}, {17,37}, {26,34}, {7,38}, {12,32}, {25,35}, {10,43}, {21,36}, {27,42}, {9,49}, {9,40}, {19,51}, {11,55}, {26,40}, {20,40}, {5,44}, {25,54}, {9,43}, {22,32}, {28,58}, {30,43}, {24,33}, {4,39}, {29,43}, {6,35}, {28,51}, {22,60}, {28,41}, {6,50}, {1,58}, {30,39}, {30,42}, {2,32}, {18,48}, {25,56}, {9,48}, {18,37}, {5,33}, {4,56}, {4,54}, {28,46}, {9,37}, {27,38}, {6,40}, {29,40} }; // ETB60.189 // Bipartite(30,30) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1426576071720960 EdgesBipt[60][188]:={ {15,33}, {18,45}, {6,38}, {10,37}, {8,57}, {11,49}, {9,32}, {26,46}, {25,37}, {2,55}, {11,59}, {22,40}, {1,49}, {13,39}, {15,54}, {14,50}, {16,58}, {26,43}, {30,40}, {24,54}, {21,41}, {14,45}, {6,48}, {3,39}, {20,37}, {30,59}, {29,39}, {28,52}, {4,40}, {20,52}, {6,58}, {23,44}, {14,44}, {2,33}, {17,35}, {10,42}, {24,58}, {27,36}, {20,38}, {22,55}, {22,37}, {26,38}, {12,48}, {4,43}, {16,42}, {18,32}, {16,48}, {30,52}, {2,52}, {13,59}, {28,50}, {8,37}, {6,60}, {8,52}, {16,60}, {20,49}, {29,56}, {23,54}, {30,57}, {4,58}, {23,36}, {25,34}, {12,40}, {27,50}, {13,47}, {2,48}, {5,37}, {27,32}, {24,50}, {18,35}, {9,56}, {24,45}, {13,42}, {1,36}, {23,42}, {12,37}, {13,51}, {2,56}, {6,46}, {16,43}, {29,49}, {20,55}, {18,57}, {27,53}, {17,47}, {9,47}, {12,52}, {5,50}, {17,36}, {5,34}, {18,47}, {29,47}, {2,36}, {25,52}, {28,60}, {20,42}, {22,58}, {11,51}, {9,39}, {8,42}, {30,38}, {5,54}, {22,43}, {29,32}, {10,59}, {18,56}, {24,40}, {26,42}, {14,35}, {3,47}, {7,32}, {27,40}, {19,56}, {19,38}, {1,31}, {19,47}, {25,33}, {3,51}, {7,53}, {9,58}, {5,35}, {28,42}, {15,50}, {3,36}, {19,49}, {30,55}, {11,60}, {14,54}, {14,60}, {4,60}, {21,45}, {8,56}, {8,50}, {12,56}, {23,39}, {11,36}, {13,48}, {10,57}, {22,48}, {16,57}, {2,51}, {15,37}, {10,38}, {15,34}, {22,56}, {8,60}, {30,49}, {17,51}, {14,39}, {21,31}, {10,55}, {8,47}, {8,41}, {9,38}, {24,55}, {8,45}, {7,46}, {3,59}, {17,31}, {13,36}, {1,41}, {4,45}, {12,55}, {1,51}, {1,59}, {9,54}, {12,41}, {11,44}, {3,44}, {24,39}, {23,48}, {25,49}, {17,55}, {11,34}, {24,59}, {7,35}, {11,46}, {2,43}, {5,52}, {7,50}, {10,44}, {15,52}, {17,46}, {23,51}, {25,46}, {5,39}, {3,32}, {6,45}, {20,44}, {25,31}, {19,41}, {15,46}, {4,50}, {23,47}, {28,37}, {21,60}, {17,38}, {15,35}, {29,38}, {26,31}, {28,45}, {6,31}, {27,51}, {10,52}, {3,42}, {14,43}, {27,35}, {13,57}, {1,44}, {15,49}, {24,35}, {30,44}, {21,59}, {19,53}, {14,40}, {24,43}, {9,41}, {16,31}, {16,45}, {20,59}, {23,59}, {22,41}, {15,39}, {22,52}, {25,50}, {4,59}, {28,32}, {6,43}, {8,32}, {6,57}, {26,48}, {5,31}, {26,53}, {19,34}, {4,44}, {29,54}, {21,49}, {24,60}, {7,40}, {2,41}, {12,43}, {29,41}, {17,50}, {18,41}, {10,40}, {14,55}, {1,60}, {27,46}, {11,56}, {23,57}, {13,44}, {14,58}, {21,46}, {5,46}, {4,55}, {3,48}, {3,33}, {13,32}, {1,45}, {23,32}, {19,39}, {16,53}, {29,58}, {19,43}, {7,55}, {20,57}, {16,46}, {27,47}, {14,59}, {26,60}, {18,52}, {25,39}, {16,38}, {11,45}, {20,53}, {3,54}, {12,36}, {29,53}, {7,47}, {2,37}, {27,55}, {30,53}, {21,34}, {7,31}, {12,33}, {12,58}, {3,57}, {7,51}, {22,33}, {11,31}, {21,44}, {15,48}, {11,41}, {1,34}, {22,51}, {30,34}, {28,56}, {10,53}, {17,40}, {24,44}, {26,57}, {28,35}, {19,58}, {6,42}, {4,35}, {21,51}, {19,32}, {13,33}, {5,49}, {28,57}, {1,56}, {13,54}, {20,34}, {23,33}, {10,34}, {16,33}, {17,53}, {8,35}, {2,40}, {21,56}, {18,50}, {7,38}, {25,35}, {21,36}, {15,31}, {6,53}, {9,49}, {20,40}, {18,60}, {25,54}, {9,53}, {22,36}, {9,43}, {26,33}, {1,46}, {27,31}, {9,34}, {4,39}, {25,48}, {29,43}, {7,36}, {17,32}, {29,34}, {28,41}, {26,58}, {30,42}, {30,37}, {18,42}, {26,45}, {6,33}, {12,51}, {19,54}, {5,48}, {18,37}, {2,58}, {5,33}, {28,47}, {4,54}, {10,49}, {27,38} }; // ETB60.190 // Bipartite(30,30) Valencies [12,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 87071293440 EdgesBipt[60][189]:={ {24,34}, {15,33}, {6,38}, {30,54}, {11,40}, {10,37}, {16,47}, {9,32}, {5,56}, {25,37}, {3,58}, {8,51}, {22,40}, {25,40}, {1,40}, {14,38}, {17,42}, {13,39}, {28,44}, {15,54}, {16,58}, {26,43}, {11,57}, {30,41}, {16,55}, {24,32}, {24,54}, {11,53}, {2,49}, {17,56}, {10,39}, {6,48}, {19,37}, {3,39}, {15,56}, {20,37}, {1,35}, {28,52}, {4,40}, {20,52}, {2,46}, {24,48}, {6,58}, {23,44}, {27,56}, {4,38}, {3,49}, {21,53}, {11,35}, {24,58}, {10,47}, {19,31}, {26,38}, {21,40}, {16,42}, {18,32}, {1,52}, {16,48}, {30,52}, {23,45}, {12,46}, {9,33}, {20,43}, {13,59}, {29,33}, {8,46}, {17,39}, {8,52}, {29,44}, {12,38}, {20,49}, {7,41}, {26,55}, {23,31}, {4,58}, {12,31}, {12,40}, {27,50}, {5,60}, {20,39}, {5,37}, {27,41}, {26,35}, {13,55}, {9,35}, {1,36}, {19,42}, {23,58}, {16,43}, {7,56}, {18,39}, {13,58}, {28,43}, {27,53}, {29,31}, {17,47}, {5,50}, {30,36}, {18,46}, {14,32}, {2,36}, {20,36}, {25,52}, {28,60}, {9,36}, {12,49}, {11,51}, {8,42}, {5,54}, {22,43}, {29,32}, {19,46}, {18,59}, {24,41}, {20,41}, {9,46}, {24,40}, {26,42}, {27,39}, {22,59}, {7,60}, {19,38}, {3,31}, {25,33}, {27,60}, {18,55}, {13,49}, {7,37}, {7,53}, {5,35}, {14,34}, {28,42}, {15,50}, {8,48}, {14,54}, {14,60}, {4,32}, {4,60}, {22,49}, {23,39}, {18,51}, {24,53}, {4,53}, {30,47}, {11,36}, {3,55}, {1,47}, {21,47}, {16,57}, {10,36}, {14,33}, {2,51}, {15,37}, {8,60}, {30,49}, {17,51}, {17,58}, {11,48}, {4,41}, {9,38}, {27,37}, {28,48}, {3,59}, {17,31}, {11,52}, {29,36}, {1,51}, {21,57}, {12,41}, {20,54}, {26,54}, {11,44}, {13,45}, {3,44}, {8,59}, {25,49}, {11,34}, {24,59}, {19,45}, {15,60}, {2,43}, {5,52}, {4,33}, {7,50}, {9,31}, {7,58}, {15,52}, {13,56}, {25,46}, {22,31}, {22,50}, {23,56}, {13,31}, {24,38}, {18,44}, {6,45}, {15,46}, {5,40}, {20,47}, {26,47}, {4,34}, {15,35}, {29,38}, {1,57}, {27,51}, {15,40}, {10,52}, {22,57}, {13,57}, {1,44}, {15,49}, {10,54}, {19,53}, {27,58}, {19,44}, {14,40}, {1,48}, {16,45}, {23,59}, {7,39}, {23,34}, {22,41}, {9,44}, {25,50}, {4,59}, {30,32}, {28,32}, {6,43}, {8,32}, {6,57}, {26,48}, {24,60}, {2,41}, {17,41}, {12,50}, {12,43}, {20,32}, {17,50}, {29,45}, {11,56}, {29,37}, {29,42}, {23,57}, {21,52}, {22,38}, {28,39}, {13,44}, {14,58}, {5,46}, {6,47}, {3,33}, {30,45}, {19,33}, {3,34}, {11,47}, {27,47}, {14,59}, {18,52}, {8,43}, {3,56}, {2,31}, {16,38}, {12,36}, {3,45}, {29,53}, {7,47}, {16,50}, {10,41}, {23,55}, {21,34}, {7,31}, {2,57}, {3,57}, {6,54}, {21,35}, {15,55}, {7,51}, {21,44}, {1,53}, {28,55}, {19,35}, {26,50}, {13,34}, {17,60}, {1,34}, {22,51}, {30,34}, {7,42}, {2,50}, {23,49}, {29,46}, {8,44}, {19,36}, {26,57}, {6,42}, {21,48}, {21,51}, {19,32}, {13,33}, {18,43}, {5,49}, {1,56}, {20,34}, {20,45}, {23,33}, {16,35}, {8,55}, {5,55}, {10,34}, {17,53}, {10,45}, {2,40}, {21,56}, {9,45}, {12,59}, {14,41}, {12,57}, {16,54}, {22,46}, {17,37}, {2,38}, {2,59}, {25,35}, {10,43}, {21,36}, {6,55}, {28,59}, {27,42}, {18,60}, {25,54}, {9,53}, {22,36}, {14,53}, {27,31}, {8,39}, {29,35}, {9,42}, {25,55}, {30,43}, {24,33}, {10,32}, {25,60}, {6,35}, {28,51}, {6,50}, {26,58}, {14,48}, {30,39}, {30,37}, {18,42}, {4,48}, {26,45}, {18,48}, {12,51}, {25,56}, {5,33}, {4,54}, {10,49}, {28,46}, {9,37} }; // ETB60.191 // Bipartite(30,30) Valencies [12,12] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 1546188226560 EdgesBipt[60][190]:={ {24,34}, {15,33}, {18,45}, {10,37}, {16,47}, {15,38}, {15,59}, {8,57}, {27,48}, {14,36}, {11,49}, {5,56}, {16,51}, {25,37}, {2,55}, {3,58}, {5,59}, {23,53}, {11,59}, {19,57}, {25,57}, {2,60}, {22,40}, {25,40}, {13,37}, {1,40}, {13,39}, {26,49}, {15,44}, {17,33}, {4,31}, {20,46}, {14,31}, {29,48}, {16,55}, {24,54}, {27,33}, {24,36}, {11,53}, {14,56}, {17,56}, {10,39}, {14,45}, {20,37}, {5,32}, {1,35}, {30,59}, {28,52}, {20,52}, {6,58}, {14,44}, {27,54}, {2,33}, {4,38}, {11,35}, {10,42}, {24,58}, {22,55}, {22,37}, {19,31}, {26,38}, {12,48}, {16,48}, {2,52}, {23,38}, {28,50}, {29,33}, {7,45}, {28,31}, {8,37}, {26,39}, {5,41}, {6,60}, {8,52}, {29,44}, {12,38}, {29,56}, {23,54}, {11,39}, {6,49}, {12,40}, {2,48}, {18,58}, {5,37}, {27,32}, {24,50}, {26,35}, {13,42}, {20,35}, {9,35}, {1,36}, {23,42}, {19,42}, {2,56}, {6,46}, {29,51}, {8,38}, {18,57}, {27,53}, {29,31}, {17,47}, {5,50}, {4,49}, {30,36}, {25,52}, {16,40}, {9,36}, {6,34}, {9,39}, {8,42}, {30,38}, {18,33}, {6,51}, {3,38}, {16,59}, {19,46}, {3,43}, {18,56}, {20,41}, {14,46}, {24,40}, {27,39}, {27,40}, {19,56}, {7,60}, {19,38}, {13,49}, {7,37}, {9,58}, {5,35}, {28,42}, {19,49}, {14,60}, {21,45}, {8,56}, {12,47}, {23,39}, {6,36}, {1,55}, {4,53}, {9,51}, {1,47}, {10,57}, {14,33}, {15,34}, {10,58}, {30,49}, {9,55}, {30,51}, {21,31}, {10,55}, {8,47}, {4,41}, {8,41}, {24,55}, {18,38}, {7,46}, {29,59}, {28,34}, {29,36}, {26,44}, {12,55}, {1,51}, {1,59}, {21,57}, {28,49}, {9,54}, {26,54}, {20,31}, {11,44}, {24,39}, {17,55}, {11,34}, {21,42}, {7,35}, {5,52}, {15,58}, {7,50}, {4,57}, {15,53}, {22,31}, {22,50}, {13,50}, {23,56}, {13,31}, {8,53}, {22,45}, {6,45}, {20,44}, {19,41}, {20,47}, {21,58}, {23,47}, {25,45}, {28,37}, {21,60}, {26,47}, {4,34}, {6,31}, {11,32}, {17,52}, {30,48}, {11,54}, {10,52}, {3,42}, {13,57}, {1,44}, {15,49}, {24,35}, {10,54}, {30,44}, {19,53}, {26,59}, {27,58}, {19,44}, {1,48}, {24,43}, {20,59}, {3,41}, {1,32}, {22,52}, {4,59}, {7,52}, {6,43}, {8,32}, {24,51}, {6,57}, {5,31}, {26,53}, {19,34}, {3,60}, {16,44}, {4,44}, {21,49}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {3,53}, {25,42}, {29,41}, {18,41}, {10,40}, {29,45}, {23,37}, {23,57}, {28,39}, {24,49}, {2,45}, {21,46}, {23,52}, {5,46}, {29,60}, {3,48}, {25,43}, {3,33}, {16,36}, {23,32}, {20,50}, {14,51}, {19,59}, {7,55}, {11,47}, {27,47}, {14,59}, {4,46}, {25,39}, {3,56}, {1,33}, {3,45}, {2,37}, {4,42}, {16,50}, {12,53}, {27,55}, {30,53}, {21,34}, {7,31}, {12,33}, {12,39}, {12,58}, {5,47}, {30,33}, {28,54}, {3,57}, {7,51}, {15,48}, {26,50}, {13,34}, {17,60}, {9,50}, {26,32}, {22,51}, {30,34}, {13,35}, {21,43}, {29,46}, {17,40}, {28,35}, {6,42}, {21,51}, {18,43}, {15,51}, {18,53}, {28,57}, {13,54}, {1,50}, {10,60}, {2,47}, {16,35}, {16,33}, {10,45}, {2,40}, {8,54}, {17,45}, {14,41}, {22,46}, {17,37}, {26,34}, {20,56}, {12,32}, {15,36}, {22,35}, {10,43}, {21,36}, {9,49}, {9,40}, {27,43}, {18,60}, {5,44}, {12,54}, {25,54}, {22,36}, {9,43}, {8,39}, {23,41}, {25,55}, {30,43}, {9,34}, {15,43}, {13,46}, {25,60}, {7,36}, {17,32}, {11,50}, {22,60}, {13,52}, {25,58}, {14,48}, {18,42}, {16,32}, {2,32}, {18,48}, {17,48}, {4,56}, {30,58}, {11,38}, {28,46}, {27,38} }; // ETB60.192 // Bipartite(30,30) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11796480 EdgesBipt[60][191]:={ {24,34}, {15,33}, {6,52}, {7,48}, {11,40}, {10,37}, {15,38}, {15,59}, {8,57}, {27,48}, {14,36}, {6,59}, {9,32}, {5,38}, {5,56}, {25,37}, {2,55}, {5,59}, {27,59}, {2,60}, {1,49}, {25,40}, {13,37}, {17,42}, {28,44}, {11,43}, {17,33}, {4,31}, {16,58}, {5,57}, {26,43}, {3,35}, {10,33}, {29,48}, {30,40}, {30,41}, {24,32}, {21,41}, {11,53}, {14,56}, {17,56}, {14,45}, {6,48}, {15,56}, {20,37}, {5,32}, {4,51}, {1,35}, {30,59}, {15,41}, {8,31}, {2,46}, {6,58}, {27,54}, {2,33}, {3,49}, {11,35}, {15,57}, {24,58}, {20,38}, {2,34}, {22,55}, {19,31}, {12,48}, {4,43}, {1,52}, {2,52}, {23,45}, {16,49}, {12,46}, {28,50}, {8,37}, {9,57}, {26,39}, {24,46}, {16,60}, {12,38}, {7,41}, {29,56}, {23,31}, {23,54}, {30,57}, {4,58}, {23,36}, {25,34}, {11,39}, {6,49}, {7,33}, {12,40}, {27,50}, {13,47}, {5,60}, {20,39}, {29,55}, {5,37}, {27,32}, {24,50}, {24,47}, {26,35}, {18,35}, {24,31}, {24,45}, {13,42}, {20,35}, {23,43}, {1,36}, {12,37}, {2,56}, {10,35}, {6,44}, {26,52}, {29,49}, {9,47}, {30,36}, {5,34}, {29,47}, {14,32}, {22,34}, {11,51}, {30,38}, {23,60}, {29,32}, {3,38}, {16,59}, {3,43}, {27,45}, {9,46}, {26,42}, {27,40}, {19,56}, {1,31}, {3,31}, {19,47}, {25,33}, {3,51}, {18,55}, {1,39}, {13,49}, {28,53}, {17,57}, {5,53}, {11,42}, {7,53}, {9,58}, {5,35}, {28,42}, {8,48}, {4,32}, {4,60}, {22,49}, {2,44}, {23,39}, {18,51}, {3,55}, {9,51}, {22,48}, {21,47}, {26,51}, {10,36}, {20,51}, {10,46}, {10,58}, {11,33}, {8,60}, {30,51}, {11,48}, {8,47}, {8,41}, {27,37}, {18,38}, {21,37}, {8,45}, {29,59}, {11,52}, {29,36}, {13,36}, {12,55}, {1,59}, {13,53}, {21,57}, {28,49}, {30,56}, {25,32}, {18,54}, {26,54}, {4,47}, {23,48}, {17,55}, {2,43}, {15,58}, {4,33}, {7,50}, {7,34}, {9,31}, {25,41}, {17,46}, {13,56}, {25,46}, {22,31}, {22,50}, {13,50}, {5,39}, {19,55}, {17,44}, {15,46}, {4,50}, {21,58}, {23,47}, {28,37}, {12,45}, {25,53}, {17,52}, {22,53}, {9,52}, {11,54}, {15,40}, {19,50}, {3,42}, {1,44}, {13,38}, {21,59}, {19,44}, {18,31}, {14,40}, {7,49}, {16,31}, {16,45}, {20,59}, {7,39}, {3,41}, {15,39}, {22,41}, {1,54}, {22,52}, {7,52}, {20,60}, {6,43}, {6,37}, {22,39}, {24,51}, {6,57}, {26,48}, {26,53}, {16,44}, {4,44}, {21,49}, {12,50}, {20,32}, {18,41}, {10,40}, {29,45}, {14,55}, {1,60}, {27,46}, {23,37}, {14,47}, {29,42}, {23,57}, {21,52}, {22,38}, {8,36}, {13,44}, {2,45}, {4,55}, {6,47}, {16,36}, {1,45}, {19,33}, {3,34}, {19,43}, {7,55}, {20,57}, {14,59}, {19,60}, {25,36}, {8,43}, {20,53}, {3,54}, {12,44}, {29,53}, {24,57}, {27,55}, {10,41}, {7,31}, {30,33}, {2,57}, {28,54}, {17,34}, {21,35}, {28,36}, {18,49}, {22,33}, {14,49}, {21,44}, {26,50}, {5,51}, {24,52}, {17,60}, {9,50}, {21,43}, {6,41}, {28,56}, {10,53}, {19,58}, {27,44}, {21,48}, {19,32}, {18,43}, {15,51}, {13,54}, {20,34}, {10,60}, {16,35}, {14,42}, {10,34}, {3,40}, {8,54}, {17,45}, {9,45}, {12,59}, {16,54}, {16,39}, {20,56}, {16,52}, {28,38}, {7,38}, {12,32}, {15,36}, {25,35}, {30,46}, {18,40}, {19,51}, {24,42}, {26,40}, {12,54}, {26,33}, {14,53}, {8,39}, {9,42}, {23,41}, {9,34}, {10,32}, {13,46}, {25,60}, {6,35}, {11,50}, {17,43}, {25,58}, {14,48}, {1,58}, {2,42}, {30,39}, {18,42}, {18,34}, {28,47}, {4,56}, {30,58}, {28,46}, {27,38}, {29,40} }; // ETB60.193 // Bipartite(30,30) Valencies [12,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23592960 EdgesBipt[60][192]:={ {24,34}, {15,33}, {6,38}, {11,40}, {10,37}, {16,47}, {8,57}, {25,37}, {2,55}, {25,47}, {27,59}, {19,57}, {5,45}, {22,40}, {1,49}, {13,37}, {1,40}, {15,44}, {2,35}, {17,33}, {16,58}, {11,57}, {29,48}, {27,33}, {11,53}, {21,54}, {14,56}, {6,48}, {19,37}, {3,39}, {20,58}, {4,51}, {29,39}, {28,52}, {4,37}, {20,52}, {4,40}, {6,56}, {24,48}, {14,57}, {23,44}, {27,54}, {2,33}, {17,35}, {24,56}, {3,49}, {21,53}, {10,47}, {19,40}, {2,34}, {22,55}, {4,43}, {2,52}, {16,49}, {7,59}, {12,46}, {9,33}, {13,59}, {28,50}, {29,33}, {29,57}, {24,46}, {5,41}, {8,52}, {21,38}, {12,38}, {29,56}, {23,54}, {6,49}, {12,31}, {27,50}, {5,60}, {20,39}, {29,55}, {9,56}, {1,36}, {23,42}, {6,46}, {23,58}, {16,43}, {15,45}, {18,39}, {13,58}, {20,55}, {27,53}, {17,47}, {4,49}, {30,36}, {1,38}, {25,52}, {16,40}, {28,60}, {20,42}, {10,51}, {24,37}, {1,43}, {9,39}, {8,42}, {18,36}, {23,60}, {3,38}, {19,46}, {18,59}, {18,56}, {20,41}, {27,45}, {9,46}, {9,59}, {26,42}, {14,35}, {22,59}, {7,32}, {1,31}, {13,49}, {11,42}, {14,34}, {30,31}, {15,50}, {3,36}, {19,49}, {26,41}, {14,60}, {4,60}, {2,44}, {21,45}, {8,56}, {6,36}, {23,39}, {24,53}, {9,51}, {1,47}, {16,57}, {10,36}, {14,33}, {15,37}, {10,58}, {8,60}, {30,51}, {14,39}, {21,31}, {11,48}, {10,55}, {4,41}, {18,38}, {17,54}, {7,46}, {3,59}, {11,58}, {13,36}, {1,41}, {28,49}, {18,54}, {26,54}, {3,44}, {24,39}, {17,55}, {24,59}, {21,42}, {7,35}, {5,52}, {27,34}, {7,50}, {10,31}, {4,57}, {25,41}, {22,31}, {22,50}, {13,50}, {23,56}, {23,35}, {5,39}, {19,55}, {18,44}, {16,41}, {6,45}, {20,44}, {25,31}, {17,44}, {19,41}, {8,34}, {20,47}, {28,37}, {12,45}, {26,47}, {1,57}, {6,31}, {11,32}, {17,52}, {27,51}, {30,48}, {11,54}, {10,52}, {3,42}, {13,57}, {13,38}, {30,44}, {14,40}, {24,43}, {16,31}, {23,34}, {15,39}, {1,32}, {22,52}, {25,50}, {4,59}, {7,52}, {20,60}, {28,32}, {6,43}, {8,32}, {24,51}, {26,48}, {20,48}, {26,53}, {2,54}, {21,49}, {7,40}, {12,50}, {29,41}, {14,55}, {27,46}, {11,56}, {23,57}, {22,38}, {24,49}, {2,45}, {21,46}, {23,52}, {4,55}, {29,60}, {25,43}, {16,36}, {13,32}, {30,45}, {10,50}, {23,32}, {19,59}, {3,50}, {3,34}, {19,43}, {7,55}, {16,46}, {11,47}, {4,46}, {19,60}, {25,36}, {3,56}, {16,38}, {11,45}, {5,58}, {3,54}, {8,58}, {2,53}, {12,44}, {29,53}, {7,47}, {12,53}, {10,41}, {7,31}, {12,33}, {5,47}, {30,33}, {17,34}, {6,54}, {28,36}, {18,49}, {7,51}, {20,33}, {15,48}, {19,35}, {11,41}, {26,32}, {15,42}, {22,51}, {13,35}, {21,43}, {17,40}, {12,34}, {30,50}, {8,44}, {26,57}, {28,35}, {6,42}, {27,44}, {21,48}, {4,35}, {15,51}, {28,57}, {20,45}, {10,60}, {2,47}, {5,55}, {17,53}, {13,60}, {8,35}, {2,40}, {8,54}, {21,56}, {17,45}, {18,50}, {12,59}, {14,41}, {22,46}, {28,38}, {7,38}, {5,42}, {15,36}, {22,35}, {10,43}, {21,36}, {15,31}, {6,53}, {28,59}, {9,49}, {19,51}, {26,40}, {5,44}, {12,54}, {9,53}, {9,43}, {22,47}, {14,53}, {1,46}, {27,31}, {3,37}, {22,32}, {8,39}, {29,35}, {25,55}, {28,58}, {30,43}, {9,34}, {24,33}, {15,43}, {25,60}, {17,32}, {29,34}, {13,52}, {25,58}, {26,58}, {14,48}, {1,58}, {26,56}, {30,39}, {30,42}, {30,37}, {18,42}, {16,32}, {26,45}, {2,32}, {18,34}, {12,51}, {9,48}, {5,48}, {18,37}, {5,33}, {9,37}, {25,51}, {27,38}, {29,40} }; // ETB60.194 // Bipartite(18,42) Valencies [14,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9176392198719340019712000000 EdgesBipt[60][193]:={ {6,48}, {2,44}, {11,53}, {15,52}, {9,58}, {3,33}, {16,41}, {1,20}, {9,28}, {13,32}, {14,56}, {2,33}, {17,35}, {11,36}, {17,36}, {11,35}, {18,48}, {3,22}, {2,56}, {3,40}, {15,46}, {17,47}, {4,53}, {1,56}, {14,51}, {16,40}, {14,39}, {17,53}, {9,45}, {2,51}, {16,47}, {7,55}, {7,38}, {4,29}, {1,32}, {3,45}, {8,33}, {10,23}, {7,44}, {14,38}, {1,19}, {2,27}, {12,42}, {3,58}, {5,47}, {12,55}, {16,59}, {18,54}, {2,26}, {8,39}, {11,41}, {17,24}, {14,50}, {3,52}, {3,57}, {16,23}, {8,44}, {4,23}, {8,27}, {12,37}, {16,29}, {10,22}, {13,55}, {10,53}, {18,42}, {18,37}, {2,45}, {13,56}, {15,45}, {3,34}, {3,46}, {6,31}, {1,38}, {14,33}, {7,56}, {1,50}, {4,22}, {10,47}, {7,20}, {1,55}, {14,21}, {9,27}, {16,53}, {12,36}, {15,40}, {1,44}, {4,41}, {5,29}, {2,38}, {12,49}, {10,52}, {8,45}, {2,39}, {7,32}, {17,23}, {1,31}, {10,41}, {16,52}, {7,49}, {7,43}, {10,28}, {7,25}, {15,27}, {10,59}, {11,59}, {6,55}, {4,47}, {6,30}, {6,43}, {18,49}, {5,23}, {10,29}, {6,60}, {9,34}, {6,49}, {3,51}, {2,20}, {2,57}, {13,49}, {4,59}, {18,55}, {4,52}, {10,40}, {12,43}, {16,58}, {7,50}, {3,39}, {13,31}, {18,30}, {4,35}, {7,26}, {2,32}, {18,43}, {11,23}, {13,43}, {6,24}, {11,29}, {13,44}, {5,30}, {13,50}, {17,30}, {11,30}, {5,24}, {11,60}, {12,25}, {15,34}, {17,48}, {5,48}, {8,56}, {13,25}, {18,24}, {3,27}, {9,51}, {10,46}, {18,36}, {4,28}, {1,43}, {4,46}, {8,26}, {18,31}, {5,42}, {16,22}, {9,22}, {7,31}, {11,54}, {10,58}, {5,41}, {8,57}, {17,54}, {9,40}, {5,54}, {8,32}, {8,21}, {9,57}, {11,24}, {1,49}, {12,19}, {5,59}, {12,30}, {18,19}, {17,59}, {18,25}, {17,29}, {5,36}, {3,21}, {1,25}, {6,19}, {4,58}, {6,54}, {17,41}, {18,60}, {1,37}, {14,20}, {15,21}, {16,34}, {5,60}, {6,42}, {13,26}, {14,45}, {4,40}, {10,35}, {17,60}, {13,19}, {6,36}, {2,21}, {16,35}, {8,38}, {1,26}, {4,34}, {14,44}, {10,34}, {8,50}, {15,22}, {15,51}, {14,32}, {15,33}, {6,25}, {9,33}, {14,57}, {11,47}, {16,46}, {15,28}, {9,39}, {13,38}, {12,48}, {15,57}, {9,52}, {11,48}, {3,28}, {8,20}, {12,24}, {13,37}, {15,39}, {9,46}, {8,51}, {6,37}, {12,31}, {17,42}, {7,37}, {13,20}, {5,35}, {7,19}, {9,21}, {11,42}, {12,54}, {16,28}, {14,27}, {5,53}, {2,50}, {15,58}, {14,26}, {12,60} }; // ETB60.195 // Bipartite(18,42) Valencies [14,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 604206893742837202944000000 EdgesBipt[60][194]:={ {17,57}, {6,48}, {16,41}, {17,50}, {10,25}, {2,24}, {13,52}, {17,44}, {11,36}, {4,27}, {17,56}, {13,21}, {5,34}, {13,40}, {15,24}, {18,29}, {17,38}, {10,37}, {18,32}, {11,25}, {12,56}, {7,48}, {12,32}, {16,47}, {18,38}, {18,50}, {8,33}, {3,43}, {3,25}, {12,38}, {7,41}, {1,40}, {7,54}, {17,20}, {9,44}, {13,57}, {2,19}, {1,19}, {5,47}, {12,55}, {16,59}, {3,37}, {15,48}, {18,56}, {8,39}, {15,54}, {16,60}, {7,36}, {17,21}, {9,53}, {18,41}, {16,23}, {9,35}, {14,28}, {8,44}, {8,27}, {12,37}, {2,54}, {12,50}, {16,29}, {2,42}, {10,22}, {15,60}, {15,45}, {16,30}, {6,21}, {2,25}, {5,40}, {14,23}, {2,36}, {9,47}, {5,22}, {4,22}, {3,49}, {9,29}, {13,58}, {1,55}, {9,32}, {16,24}, {9,26}, {18,20}, {16,53}, {12,20}, {5,29}, {11,49}, {2,37}, {12,49}, {10,52}, {12,44}, {16,54}, {8,45}, {14,40}, {17,51}, {9,41}, {17,39}, {3,56}, {1,31}, {4,45}, {10,28}, {11,31}, {5,58}, {17,33}, {1,22}, {15,27}, {3,44}, {6,30}, {4,33}, {5,23}, {4,21}, {10,31}, {3,20}, {6,60}, {13,22}, {15,42}, {14,53}, {2,48}, {4,52}, {10,40}, {9,50}, {12,43}, {7,30}, {7,53}, {3,32}, {6,33}, {13,33}, {18,44}, {4,57}, {6,24}, {14,47}, {11,30}, {9,56}, {17,27}, {5,46}, {12,25}, {11,60}, {18,53}, {1,58}, {8,56}, {13,28}, {14,58}, {9,20}, {18,26}, {1,28}, {14,41}, {3,50}, {18,47}, {10,46}, {4,28}, {16,48}, {1,43}, {3,26}, {4,46}, {5,28}, {15,36}, {8,26}, {1,52}, {12,26}, {11,54}, {10,58}, {10,43}, {10,55}, {5,41}, {14,59}, {8,57}, {6,51}, {7,47}, {8,32}, {8,21}, {7,59}, {3,19}, {14,22}, {6,27}, {11,24}, {18,59}, {1,49}, {12,19}, {5,59}, {14,34}, {11,55}, {1,25}, {1,46}, {4,58}, {6,54}, {7,29}, {7,60}, {18,23}, {13,27}, {13,46}, {1,37}, {15,21}, {6,42}, {4,40}, {7,23}, {16,36}, {6,36}, {11,37}, {4,51}, {16,35}, {6,45}, {8,38}, {4,34}, {10,34}, {8,50}, {13,51}, {15,51}, {15,33}, {10,49}, {2,31}, {14,52}, {16,42}, {3,55}, {9,38}, {11,19}, {10,19}, {17,45}, {3,38}, {15,57}, {11,48}, {8,20}, {14,35}, {7,24}, {3,31}, {15,39}, {8,51}, {17,26}, {6,39}, {2,55}, {14,46}, {12,31}, {13,34}, {7,35}, {13,39}, {11,43}, {2,30}, {13,45}, {15,30}, {5,35}, {1,34}, {2,60}, {9,59}, {2,43}, {17,32}, {11,42}, {4,39}, {18,35}, {7,42}, {9,23}, {5,52}, {6,57}, {5,53}, {14,29}, {2,49} }; // ETB60.196 // Bipartite(25,35) Valencies [14,10] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 809205661262728396800000000000 EdgesBipt[60][195]:={ {19,28}, {10,37}, {15,59}, {11,49}, {6,59}, {16,51}, {4,28}, {25,37}, {2,55}, {3,58}, {5,59}, {23,53}, {25,47}, {11,59}, {8,51}, {25,57}, {2,60}, {3,26}, {8,26}, {22,40}, {1,49}, {14,38}, {17,42}, {15,44}, {15,54}, {14,50}, {2,35}, {5,57}, {15,27}, {21,41}, {21,54}, {10,39}, {14,45}, {20,37}, {5,32}, {7,30}, {8,31}, {4,40}, {20,52}, {13,43}, {6,56}, {24,48}, {24,28}, {17,35}, {4,38}, {11,29}, {15,57}, {10,42}, {6,29}, {24,58}, {10,47}, {19,40}, {22,55}, {22,37}, {4,43}, {15,32}, {2,52}, {4,30}, {16,49}, {23,38}, {9,33}, {7,45}, {8,46}, {20,49}, {23,31}, {7,27}, {4,58}, {12,42}, {6,39}, {23,36}, {25,34}, {11,39}, {6,49}, {22,42}, {12,40}, {19,48}, {20,29}, {23,28}, {24,30}, {18,58}, {20,39}, {5,37}, {24,50}, {24,45}, {23,43}, {9,35}, {1,36}, {1,29}, {12,37}, {13,51}, {16,34}, {6,46}, {23,58}, {6,44}, {13,58}, {8,38}, {13,26}, {17,47}, {12,52}, {5,34}, {18,46}, {1,26}, {13,41}, {25,52}, {20,42}, {6,34}, {11,51}, {18,26}, {18,36}, {5,54}, {18,33}, {6,51}, {3,38}, {10,59}, {5,27}, {16,59}, {3,43}, {18,56}, {24,40}, {14,35}, {7,32}, {7,60}, {19,38}, {1,31}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {17,57}, {2,30}, {9,58}, {3,36}, {25,29}, {8,48}, {14,60}, {25,44}, {4,60}, {8,56}, {14,28}, {12,47}, {6,36}, {18,51}, {24,53}, {4,53}, {16,29}, {11,36}, {13,48}, {10,57}, {14,33}, {15,37}, {15,34}, {9,55}, {21,31}, {25,59}, {19,30}, {8,41}, {9,38}, {24,55}, {18,38}, {13,36}, {1,41}, {4,45}, {12,55}, {1,51}, {1,59}, {13,53}, {25,32}, {20,54}, {11,44}, {23,48}, {25,49}, {17,55}, {11,34}, {7,35}, {19,45}, {11,46}, {16,56}, {5,52}, {22,30}, {2,27}, {12,30}, {4,33}, {7,50}, {10,44}, {10,29}, {15,52}, {23,51}, {13,56}, {22,50}, {23,56}, {13,31}, {9,30}, {5,39}, {24,38}, {8,53}, {19,55}, {22,45}, {16,41}, {20,44}, {17,30}, {20,47}, {4,50}, {12,45}, {6,31}, {17,52}, {16,26}, {11,54}, {10,52}, {14,43}, {19,50}, {22,57}, {1,44}, {13,38}, {15,49}, {24,35}, {10,54}, {21,59}, {19,53}, {18,31}, {14,40}, {24,43}, {16,31}, {20,59}, {3,41}, {15,39}, {1,54}, {22,52}, {21,39}, {7,52}, {16,44}, {21,49}, {24,60}, {7,40}, {12,50}, {20,32}, {3,53}, {25,42}, {17,50}, {18,41}, {14,55}, {11,56}, {8,36}, {14,58}, {2,45}, {21,46}, {4,55}, {3,48}, {3,33}, {16,36}, {19,33}, {9,28}, {19,43}, {7,55}, {20,57}, {18,28}, {16,46}, {15,29}, {19,60}, {8,43}, {25,39}, {3,56}, {8,58}, {7,47}, {2,37}, {5,29}, {14,30}, {3,28}, {21,34}, {8,33}, {5,47}, {2,57}, {6,54}, {20,27}, {15,47}, {11,31}, {21,44}, {12,60}, {19,35}, {11,41}, {17,60}, {9,50}, {6,26}, {15,42}, {1,34}, {22,27}, {7,42}, {2,50}, {6,41}, {21,29}, {17,40}, {9,60}, {19,58}, {4,35}, {21,51}, {13,33}, {18,43}, {23,46}, {18,53}, {5,49}, {1,56}, {20,34}, {23,33}, {2,47}, {10,27}, {10,34}, {17,27}, {2,40}, {21,56}, {17,45}, {9,45}, {12,57}, {16,54}, {17,37}, {16,39}, {13,28}, {5,42}, {12,32}, {22,35}, {21,36}, {8,28}, {9,40}, {5,44}, {25,27}, {25,54}, {9,53}, {9,43}, {22,47}, {14,53}, {1,46}, {22,32}, {23,41}, {24,33}, {10,32}, {13,46}, {12,35}, {17,32}, {22,60}, {23,26}, {14,48}, {21,26}, {2,42}, {4,48}, {7,57}, {2,32}, {18,48}, {11,26}, {3,46}, {9,48}, {10,49} }; // ETB60.197 // Bipartite(30,30) Valencies [14,14] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 43293270343680 EdgesBipt[60][196]:={ {15,33}, {7,48}, {10,37}, {15,59}, {8,57}, {16,51}, {25,37}, {2,55}, {5,59}, {23,53}, {25,47}, {11,59}, {19,57}, {25,57}, {5,45}, {1,49}, {13,37}, {14,38}, {15,44}, {11,43}, {8,40}, {26,43}, {3,35}, {20,46}, {29,48}, {30,41}, {24,36}, {11,53}, {2,49}, {21,54}, {14,45}, {6,48}, {15,56}, {20,37}, {1,35}, {4,51}, {30,59}, {15,41}, {28,52}, {4,40}, {20,52}, {13,43}, {24,48}, {6,58}, {27,56}, {14,44}, {27,54}, {6,32}, {3,49}, {11,35}, {10,42}, {24,58}, {27,36}, {10,47}, {19,40}, {2,34}, {22,37}, {26,38}, {4,43}, {16,42}, {18,32}, {16,48}, {30,52}, {2,52}, {16,49}, {23,38}, {12,46}, {9,33}, {28,50}, {29,33}, {7,45}, {8,37}, {26,39}, {24,46}, {17,39}, {6,60}, {8,52}, {29,44}, {12,38}, {7,41}, {23,54}, {4,58}, {6,39}, {11,39}, {7,33}, {12,31}, {5,60}, {20,39}, {29,55}, {5,37}, {27,41}, {24,50}, {26,35}, {18,35}, {24,31}, {13,42}, {20,35}, {9,35}, {1,36}, {19,42}, {23,42}, {16,34}, {6,46}, {7,56}, {29,49}, {13,58}, {28,43}, {8,38}, {18,57}, {20,55}, {27,53}, {17,47}, {5,50}, {17,36}, {18,47}, {18,46}, {29,47}, {14,32}, {2,36}, {25,52}, {28,60}, {10,51}, {9,36}, {12,49}, {8,42}, {5,54}, {29,32}, {10,59}, {16,59}, {18,56}, {27,45}, {2,39}, {9,46}, {24,40}, {3,47}, {27,39}, {1,42}, {7,32}, {19,56}, {7,60}, {3,31}, {27,60}, {18,55}, {1,39}, {13,49}, {7,37}, {28,53}, {9,58}, {5,35}, {14,34}, {30,31}, {28,42}, {8,48}, {26,41}, {14,60}, {25,44}, {4,60}, {21,45}, {8,56}, {12,56}, {23,39}, {23,40}, {24,53}, {3,55}, {9,51}, {10,57}, {22,48}, {21,47}, {16,57}, {10,36}, {14,33}, {2,51}, {15,37}, {10,38}, {15,34}, {10,46}, {22,56}, {30,49}, {9,55}, {17,51}, {17,58}, {21,31}, {25,59}, {4,41}, {9,38}, {8,41}, {24,55}, {17,54}, {29,59}, {28,34}, {11,58}, {4,45}, {26,44}, {1,51}, {1,59}, {13,53}, {21,57}, {28,49}, {30,56}, {25,32}, {12,41}, {20,54}, {26,54}, {20,31}, {13,45}, {11,44}, {23,48}, {17,55}, {21,42}, {7,35}, {19,45}, {2,43}, {15,58}, {5,52}, {27,34}, {7,50}, {10,31}, {9,31}, {4,57}, {10,44}, {15,52}, {25,46}, {22,50}, {13,50}, {23,56}, {5,39}, {24,38}, {19,55}, {8,53}, {3,32}, {22,45}, {6,45}, {20,44}, {25,31}, {19,41}, {15,46}, {5,40}, {21,58}, {28,37}, {21,60}, {12,45}, {26,47}, {29,38}, {25,53}, {1,57}, {28,45}, {6,31}, {11,32}, {17,52}, {27,51}, {30,48}, {21,32}, {11,54}, {10,52}, {3,42}, {13,57}, {1,44}, {13,38}, {15,49}, {24,35}, {30,44}, {26,59}, {19,44}, {18,31}, {14,40}, {1,48}, {24,43}, {25,38}, {20,59}, {3,41}, {4,36}, {22,41}, {1,54}, {22,52}, {4,59}, {21,39}, {7,52}, {20,60}, {6,43}, {24,51}, {6,57}, {5,31}, {26,53}, {16,44}, {4,44}, {2,54}, {25,42}, {18,41}, {29,45}, {14,55}, {27,46}, {23,37}, {11,56}, {14,47}, {23,57}, {21,46}, {23,52}, {5,46}, {4,55}, {29,60}, {6,47}, {16,36}, {20,50}, {27,49}, {19,59}, {3,50}, {3,34}, {19,43}, {11,47}, {14,59}, {19,60}, {25,36}, {3,56}, {1,33}, {21,33}, {12,36}, {29,53}, {7,47}, {2,37}, {4,42}, {16,50}, {12,53}, {23,55}, {8,33}, {12,39}, {30,33}, {17,34}, {6,54}, {3,57}, {18,49}, {7,51}, {14,49}, {22,33}, {15,48}, {12,60}, {26,50}, {13,34}, {11,41}, {9,50}, {26,32}, {1,34}, {22,51}, {30,34}, {13,35}, {21,43}, {10,53}, {17,40}, {12,34}, {19,36}, {28,35}, {19,58}, {6,42}, {21,48}, {28,57}, {20,45}, {1,50}, {23,33}, {2,47}, {16,35}, {8,55}, {5,55}, {16,33}, {3,40}, {13,60}, {2,40}, {8,54}, {18,50}, {16,54}, {17,37}, {16,39}, {28,38}, {22,35}, {15,31}, {30,46}, {18,40}, {9,40}, {19,51}, {20,40}, {5,44}, {12,54}, {9,53}, {22,36}, {9,43}, {22,47}, {14,53}, {27,31}, {8,39}, {22,32}, {23,41}, {28,58}, {30,43}, {24,33}, {15,43}, {10,32}, {7,36}, {17,32}, {29,34}, {11,50}, {22,60}, {13,52}, {17,43}, {26,58}, {14,48}, {26,56}, {30,37}, {18,42}, {2,32}, {6,33}, {18,34}, {12,51}, {17,49}, {3,46}, {9,48}, {2,58}, {4,56}, {30,58}, {11,38}, {25,51}, {27,38}, {29,40} }; // ETB60.198 // Bipartite(10,50) Valencies [15,3] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 74300837068800000000000 EdgesBipt[60][197]:={ {3,33}, {3,60}, {6,32}, {2,46}, {7,15}, {2,56}, {3,40}, {1,56}, {4,50}, {4,30}, {7,48}, {5,55}, {7,55}, {7,38}, {8,54}, {4,29}, {3,13}, {3,43}, {10,23}, {7,41}, {10,26}, {9,44}, {4,19}, {10,33}, {2,27}, {9,43}, {3,37}, {2,26}, {7,51}, {3,57}, {9,53}, {2,28}, {5,32}, {6,11}, {8,44}, {8,31}, {8,27}, {10,53}, {6,22}, {7,58}, {3,17}, {4,38}, {6,21}, {6,40}, {6,31}, {4,60}, {2,36}, {5,22}, {7,11}, {1,55}, {9,32}, {1,44}, {5,29}, {8,41}, {2,38}, {8,47}, {2,37}, {8,14}, {5,25}, {9,14}, {7,25}, {6,12}, {10,59}, {6,30}, {9,54}, {10,29}, {6,60}, {3,20}, {9,34}, {9,42}, {2,57}, {4,59}, {2,48}, {8,17}, {2,16}, {6,50}, {8,11}, {4,48}, {5,49}, {1,45}, {3,50}, {3,27}, {10,46}, {4,28}, {10,13}, {8,37}, {5,42}, {9,22}, {7,31}, {2,17}, {10,43}, {8,57}, {6,51}, {9,13}, {5,12}, {8,21}, {1,24}, {5,59}, {3,23}, {1,25}, {9,12}, {1,46}, {4,58}, {6,41}, {1,15}, {10,39}, {1,35}, {5,39}, {7,28}, {6,42}, {3,53}, {4,40}, {3,30}, {8,34}, {1,26}, {10,36}, {1,16}, {8,24}, {2,47}, {10,49}, {4,49}, {9,33}, {2,58}, {4,18}, {6,52}, {10,56}, {10,19}, {9,52}, {4,20}, {7,45}, {5,45}, {9,24}, {1,14}, {8,51}, {5,15}, {3,47}, {5,19}, {6,20}, {7,35}, {5,35}, {1,54}, {2,18}, {1,34}, {4,39}, {9,23}, {7,21}, {5,52}, {1,36}, {7,18}, {10,16} }; // ETB60.199 // Bipartite(24,36) Valencies [15,10] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 17280 EdgesBipt[60][198]:={ {6,52}, {7,48}, {10,37}, {15,38}, {14,36}, {9,32}, {5,56}, {16,51}, {19,26}, {11,25}, {4,28}, {5,59}, {8,51}, {19,57}, {2,60}, {3,26}, {1,49}, {1,40}, {14,38}, {13,39}, {11,43}, {8,40}, {5,57}, {3,35}, {20,46}, {11,57}, {14,31}, {15,27}, {24,54}, {21,41}, {24,36}, {2,49}, {17,56}, {16,37}, {15,56}, {20,37}, {16,28}, {20,58}, {1,35}, {4,51}, {7,30}, {4,37}, {4,40}, {24,48}, {6,58}, {14,29}, {24,28}, {13,40}, {2,33}, {17,35}, {21,53}, {15,57}, {10,42}, {6,29}, {11,27}, {24,58}, {10,47}, {2,34}, {12,28}, {22,37}, {16,48}, {1,52}, {15,32}, {2,52}, {4,30}, {8,30}, {23,38}, {12,46}, {13,59}, {8,46}, {9,57}, {24,46}, {5,41}, {6,60}, {17,59}, {7,27}, {4,58}, {6,49}, {22,42}, {12,40}, {19,48}, {23,28}, {13,47}, {24,30}, {18,58}, {24,50}, {13,55}, {9,56}, {24,45}, {1,29}, {23,42}, {12,37}, {16,34}, {7,56}, {17,47}, {9,47}, {2,29}, {18,47}, {20,36}, {16,40}, {24,37}, {18,29}, {22,58}, {6,34}, {9,29}, {9,39}, {11,51}, {18,26}, {18,33}, {18,36}, {23,60}, {3,38}, {16,59}, {19,46}, {3,43}, {15,28}, {21,55}, {24,41}, {20,41}, {7,60}, {19,56}, {19,38}, {1,31}, {3,51}, {1,39}, {13,49}, {6,27}, {17,57}, {5,53}, {11,42}, {5,35}, {14,34}, {15,50}, {17,29}, {8,48}, {11,60}, {14,54}, {22,49}, {21,45}, {19,27}, {6,36}, {1,55}, {3,30}, {3,55}, {1,47}, {21,47}, {22,26}, {10,36}, {14,33}, {20,51}, {10,38}, {10,58}, {9,55}, {21,25}, {21,31}, {19,30}, {4,41}, {8,41}, {18,38}, {7,46}, {1,41}, {4,45}, {1,59}, {13,53}, {21,57}, {12,41}, {13,45}, {24,39}, {8,59}, {3,25}, {23,48}, {24,59}, {7,35}, {11,46}, {2,43}, {5,52}, {12,30}, {4,33}, {10,31}, {9,31}, {10,29}, {13,56}, {1,25}, {22,31}, {23,35}, {20,30}, {13,31}, {5,39}, {3,32}, {14,27}, {7,28}, {20,44}, {17,44}, {13,29}, {8,34}, {9,25}, {15,46}, {5,40}, {4,50}, {12,45}, {4,34}, {15,35}, {6,31}, {11,32}, {17,52}, {22,53}, {9,52}, {21,32}, {10,52}, {3,42}, {14,43}, {19,50}, {13,57}, {14,37}, {23,27}, {10,54}, {21,59}, {9,41}, {16,45}, {20,59}, {1,32}, {9,44}, {22,52}, {4,59}, {21,39}, {6,43}, {5,31}, {17,25}, {20,48}, {3,60}, {16,44}, {2,54}, {21,49}, {12,50}, {17,41}, {2,26}, {11,56}, {14,47}, {23,57}, {21,52}, {22,38}, {8,36}, {13,44}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {20,50}, {23,32}, {11,30}, {3,50}, {19,43}, {7,55}, {16,46}, {18,52}, {19,60}, {3,56}, {2,31}, {18,27}, {8,58}, {12,36}, {12,44}, {19,25}, {2,37}, {5,29}, {16,50}, {23,55}, {3,28}, {8,33}, {12,39}, {12,58}, {6,54}, {21,35}, {15,55}, {18,49}, {7,51}, {14,49}, {22,33}, {20,33}, {21,44}, {15,48}, {19,35}, {7,25}, {6,26}, {15,42}, {22,27}, {13,35}, {7,42}, {10,53}, {17,40}, {24,44}, {12,34}, {8,44}, {23,30}, {6,42}, {19,32}, {18,43}, {15,51}, {23,46}, {18,53}, {5,49}, {1,56}, {20,34}, {7,26}, {20,45}, {10,60}, {11,28}, {2,47}, {5,55}, {14,42}, {10,27}, {10,34}, {16,33}, {17,53}, {8,54}, {17,45}, {9,45}, {16,54}, {16,39}, {23,25}, {2,38}, {23,50}, {10,43}, {6,53}, {8,28}, {7,43}, {9,40}, {11,55}, {19,51}, {18,60}, {20,40}, {5,44}, {22,54}, {5,25}, {12,54}, {9,53}, {15,26}, {22,36}, {22,47}, {14,53}, {8,39}, {24,33}, {15,43}, {4,39}, {17,32}, {11,50}, {22,60}, {23,26}, {2,42}, {4,48}, {7,57}, {6,33}, {18,34}, {12,51}, {17,49}, {2,58}, {18,37}, {4,54}, {11,38} }; // ETB60.200 // Bipartite(24,36) Valencies [15,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2139864107581440 EdgesBipt[60][199]:={ {18,45}, {11,40}, {10,37}, {16,47}, {15,38}, {15,59}, {8,57}, {9,32}, {6,25}, {16,51}, {5,43}, {5,59}, {5,45}, {3,26}, {8,26}, {22,40}, {1,49}, {13,37}, {15,44}, {2,35}, {17,33}, {5,57}, {3,35}, {20,46}, {11,57}, {24,32}, {24,54}, {24,36}, {14,56}, {2,49}, {19,37}, {15,56}, {20,58}, {1,35}, {4,51}, {7,30}, {15,41}, {24,48}, {24,28}, {14,44}, {17,35}, {24,56}, {6,29}, {11,27}, {20,38}, {20,26}, {22,55}, {12,28}, {22,37}, {2,25}, {12,48}, {16,42}, {16,48}, {15,32}, {2,52}, {23,45}, {4,30}, {13,59}, {8,46}, {16,60}, {12,38}, {7,41}, {12,26}, {17,59}, {13,30}, {23,54}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {12,40}, {20,29}, {23,28}, {13,47}, {5,60}, {24,30}, {22,25}, {24,50}, {9,56}, {13,42}, {19,42}, {23,42}, {2,56}, {23,58}, {7,56}, {18,39}, {24,26}, {8,38}, {18,57}, {13,26}, {17,47}, {12,52}, {17,36}, {1,38}, {1,26}, {14,32}, {20,36}, {22,34}, {18,29}, {22,58}, {9,36}, {11,51}, {9,39}, {7,54}, {18,33}, {6,51}, {22,43}, {3,38}, {16,59}, {19,46}, {3,43}, {5,28}, {21,55}, {20,41}, {2,39}, {9,46}, {24,40}, {14,35}, {3,47}, {1,42}, {7,32}, {19,56}, {3,31}, {18,55}, {13,49}, {7,37}, {6,27}, {17,57}, {11,42}, {7,53}, {9,58}, {5,35}, {15,50}, {19,49}, {8,48}, {4,60}, {22,49}, {2,44}, {1,30}, {8,50}, {14,28}, {12,56}, {23,39}, {23,40}, {18,51}, {4,53}, {16,29}, {3,55}, {9,51}, {1,47}, {22,26}, {2,51}, {10,38}, {10,46}, {10,58}, {11,33}, {8,60}, {9,55}, {13,25}, {14,39}, {21,31}, {19,30}, {10,55}, {4,41}, {8,41}, {7,46}, {8,45}, {3,59}, {11,58}, {11,52}, {17,31}, {3,29}, {1,59}, {3,44}, {13,45}, {4,47}, {17,55}, {11,34}, {17,28}, {11,46}, {5,52}, {2,27}, {12,30}, {7,34}, {10,31}, {9,31}, {7,58}, {18,25}, {15,53}, {23,51}, {1,25}, {22,31}, {22,50}, {13,50}, {24,38}, {8,53}, {3,32}, {14,27}, {16,41}, {6,45}, {19,41}, {8,34}, {14,52}, {5,40}, {21,58}, {16,30}, {21,60}, {10,25}, {15,35}, {1,57}, {6,31}, {17,52}, {21,32}, {11,54}, {10,52}, {13,57}, {14,37}, {13,38}, {23,27}, {19,53}, {18,31}, {19,44}, {14,40}, {7,49}, {3,41}, {23,34}, {4,36}, {4,29}, {9,44}, {1,54}, {22,52}, {4,59}, {21,39}, {20,60}, {19,29}, {6,43}, {6,37}, {6,57}, {10,28}, {5,31}, {20,48}, {19,34}, {24,60}, {12,50}, {3,53}, {18,41}, {10,40}, {7,29}, {14,47}, {2,28}, {8,29}, {23,57}, {22,38}, {8,36}, {21,46}, {23,52}, {16,36}, {1,45}, {10,50}, {20,50}, {14,51}, {11,30}, {3,50}, {16,53}, {4,27}, {20,57}, {15,29}, {14,59}, {3,56}, {11,45}, {18,27}, {1,33}, {20,53}, {8,58}, {12,36}, {16,27}, {12,44}, {19,25}, {2,37}, {4,42}, {21,34}, {8,33}, {5,47}, {15,55}, {18,49}, {15,47}, {14,49}, {20,33}, {21,44}, {12,60}, {24,52}, {17,60}, {7,25}, {13,35}, {21,43}, {7,42}, {21,27}, {6,41}, {17,40}, {24,44}, {9,60}, {23,30}, {19,58}, {4,35}, {21,48}, {21,51}, {19,32}, {13,33}, {18,43}, {23,46}, {18,53}, {14,25}, {13,54}, {20,34}, {20,45}, {1,50}, {23,33}, {11,28}, {2,47}, {16,35}, {5,55}, {10,34}, {2,40}, {21,56}, {17,45}, {16,54}, {22,46}, {16,39}, {9,27}, {2,59}, {12,32}, {10,43}, {21,36}, {15,31}, {6,55}, {6,53}, {7,44}, {24,42}, {12,54}, {15,26}, {9,43}, {5,36}, {9,34}, {15,43}, {4,39}, {17,43}, {22,28}, {1,37}, {4,48}, {6,33}, {2,32}, {9,48}, {19,54}, {17,48}, {5,48}, {18,37}, {5,33}, {4,54}, {10,49} }; // ETB60.201 // Bipartite(30,30) Valencies [15,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10833062044631040000000 EdgesBipt[60][200]:={ {26,54}, {13,40}, {24,33}, {14,48}, {4,46}, {30,43}, {24,59}, {19,41}, {30,59}, {28,56}, {17,56}, {22,49}, {18,58}, {8,37}, {14,47}, {22,55}, {6,60}, {12,42}, {17,54}, {2,57}, {3,47}, {9,58}, {6,48}, {27,53}, {11,34}, {22,56}, {7,53}, {18,38}, {19,51}, {13,43}, {23,56}, {18,49}, {15,33}, {24,52}, {12,52}, {22,51}, {12,32}, {5,56}, {1,41}, {23,50}, {23,54}, {14,54}, {10,55}, {20,42}, {2,38}, {2,52}, {4,52}, {19,60}, {11,39}, {24,39}, {21,31}, {7,54}, {8,44}, {13,51}, {7,60}, {26,47}, {29,57}, {29,50}, {10,42}, {28,45}, {9,41}, {21,46}, {23,34}, {11,37}, {8,38}, {25,51}, {8,52}, {1,53}, {26,57}, {5,47}, {16,51}, {21,57}, {11,47}, {23,49}, {30,60}, {18,50}, {12,48}, {20,57}, {11,36}, {19,54}, {1,55}, {24,48}, {19,40}, {10,51}, {28,42}, {15,51}, {13,53}, {28,49}, {28,32}, {4,59}, {25,41}, {2,37}, {25,45}, {9,53}, {1,31}, {6,58}, {5,50}, {26,58}, {20,44}, {27,57}, {3,48}, {8,57}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {22,32}, {20,54}, {22,45}, {7,34}, {15,43}, {27,56}, {12,38}, {11,44}, {13,33}, {26,44}, {20,32}, {26,32}, {3,51}, {18,42}, {5,46}, {16,42}, {8,58}, {8,35}, {18,59}, {6,40}, {1,50}, {9,31}, {4,39}, {27,41}, {25,60}, {8,47}, {6,39}, {24,43}, {2,44}, {2,45}, {19,35}, {19,31}, {22,41}, {4,45}, {28,39}, {11,56}, {30,40}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {28,52}, {6,52}, {21,37}, {27,51}, {26,37}, {2,34}, {14,35}, {6,49}, {4,56}, {3,31}, {2,47}, {23,39}, {24,58}, {27,36}, {15,57}, {20,52}, {16,35}, {21,51}, {29,60}, {16,55}, {25,33}, {14,32}, {9,37}, {27,38}, {26,52}, {24,49}, {19,44}, {22,46}, {8,34}, {23,46}, {12,50}, {18,52}, {2,55}, {1,44}, {10,31}, {11,49}, {12,58}, {27,33}, {3,43}, {18,48}, {3,36}, {17,46}, {24,50}, {11,50}, {6,43}, {21,56}, {12,49}, {29,36}, {3,37}, {1,35}, {26,35}, {2,58}, {29,46}, {10,46}, {14,37}, {7,43}, {29,47}, {13,50}, {24,53}, {22,59}, {30,38}, {30,53}, {13,35}, {8,55}, {1,54}, {17,36}, {15,36}, {10,36}, {1,60}, {9,43}, {17,50}, {6,53}, {5,60}, {16,46}, {27,48}, {16,36}, {29,40}, {18,43}, {7,40}, {17,37}, {22,52}, {2,42}, {18,60}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {27,47}, {4,42}, {21,43}, {3,53}, {20,38}, {30,33}, {5,34}, {26,34}, {1,43}, {29,56}, {15,46}, {4,49}, {29,44}, {26,48}, {8,45}, {20,37}, {5,59}, {11,57}, {1,34}, {30,50}, {23,44}, {19,43}, {5,40}, {3,46}, {16,31}, {22,36}, {24,42}, {11,59}, {28,31}, {6,50}, {1,40}, {28,35}, {25,40}, {14,57}, {16,41}, {16,52}, {17,44}, {28,59}, {3,57}, {6,32}, {15,31}, {10,35}, {9,47}, {17,59}, {10,59}, {27,46}, {4,32}, {15,58}, {29,59}, {12,59}, {21,53}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {18,39}, {9,48}, {3,38}, {14,34}, {23,60}, {30,49}, {13,44}, {19,55}, {9,33}, {29,34}, {20,35}, {8,42}, {15,38}, {22,39}, {8,32}, {23,40}, {12,53}, {13,31}, {4,51}, {18,33}, {21,33}, {30,58}, {21,47}, {14,52}, {5,49}, {29,54}, {27,58}, {19,50}, {17,34}, {13,55}, {1,45}, {16,56}, {17,39}, {6,42}, {20,34}, {7,44}, {25,34}, {11,46}, {9,56}, {4,31}, {30,32}, {11,54}, {3,41}, {17,49}, {10,39}, {23,57}, {13,34}, {28,51}, {26,38}, {3,56}, {16,39}, {30,42}, {5,37}, {25,43}, {29,49}, {7,41}, {14,44}, {25,50}, {12,60}, {25,54}, {18,40}, {17,57}, {24,32}, {20,48}, {14,42}, {21,58}, {19,53}, {10,41}, {15,41}, {19,45}, {28,41}, {2,48}, {23,59}, {10,56}, {9,51}, {9,38}, {27,37}, {1,33}, {2,32}, {6,33}, {14,55}, {29,39}, {28,46}, {24,38}, {9,36}, {29,37}, {21,41}, {12,40}, {30,52}, {17,40}, {7,45}, {14,38}, {25,35}, {6,38}, {8,48}, {11,40}, {9,57}, {17,60}, {25,31}, {14,45}, {5,44}, {21,48}, {1,51}, {16,32}, {3,58}, {25,44}, {18,32}, {24,40}, {26,42}, {22,31}, {20,47}, {14,58}, {28,55}, {30,48}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {28,36}, {23,37}, {10,45}, {15,53}, {2,54}, {16,59}, {27,43}, {22,42}, {27,31}, {15,56}, {3,33}, {23,47}, {20,55}, {23,36}, {5,57}, {16,49}, {13,60}, {25,55}, {7,33}, {15,47}, {20,45}, {26,55}, {13,45}, {30,39}, {26,45}, {4,35}, {2,35}, {10,32}, {25,53}, {17,47}, {21,38}, {24,60}, {6,59}, {11,60}, {10,49}, {4,36}, {5,54} }; // ETB60.202 // Bipartite(12,48) Valencies [16,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3072 EdgesBipt[60][201]:={ {8,48}, {9,58}, {10,25}, {1,20}, {10,24}, {9,28}, {2,33}, {6,32}, {4,27}, {2,46}, {12,29}, {11,56}, {3,22}, {2,56}, {4,53}, {8,30}, {4,56}, {1,13}, {12,22}, {12,32}, {9,55}, {7,41}, {7,44}, {10,26}, {9,44}, {7,22}, {4,31}, {2,19}, {8,52}, {12,41}, {1,19}, {5,47}, {1,21}, {11,41}, {11,14}, {7,36}, {3,52}, {8,25}, {3,57}, {1,30}, {9,35}, {12,37}, {2,54}, {10,53}, {7,58}, {6,29}, {8,16}, {2,45}, {4,38}, {3,34}, {5,40}, {2,25}, {10,48}, {6,31}, {1,17}, {2,36}, {1,50}, {10,38}, {8,19}, {1,18}, {7,20}, {5,50}, {12,36}, {1,44}, {4,41}, {5,29}, {8,47}, {2,37}, {5,43}, {8,45}, {11,51}, {5,25}, {2,39}, {11,13}, {11,15}, {1,31}, {2,35}, {3,44}, {11,59}, {6,30}, {6,43}, {4,21}, {10,29}, {9,54}, {10,31}, {3,51}, {9,42}, {2,20}, {6,18}, {7,50}, {11,21}, {4,35}, {11,57}, {7,16}, {8,36}, {6,33}, {2,32}, {7,26}, {4,57}, {7,17}, {5,24}, {9,37}, {5,46}, {1,60}, {12,28}, {11,60}, {8,22}, {1,58}, {5,48}, {8,56}, {4,55}, {1,43}, {12,26}, {12,33}, {6,15}, {10,43}, {12,27}, {8,32}, {1,42}, {12,23}, {9,57}, {5,59}, {12,40}, {12,53}, {3,23}, {11,55}, {12,14}, {6,19}, {11,46}, {6,54}, {7,60}, {6,28}, {12,15}, {6,14}, {10,39}, {5,39}, {3,16}, {5,60}, {6,42}, {10,35}, {7,23}, {3,30}, {8,34}, {10,17}, {4,51}, {3,24}, {10,27}, {4,34}, {1,16}, {4,14}, {10,34}, {3,48}, {10,49}, {4,49}, {10,50}, {11,40}, {9,33}, {12,52}, {11,47}, {8,49}, {5,26}, {2,58}, {3,42}, {4,18}, {9,39}, {6,52}, {9,38}, {3,38}, {11,45}, {5,13}, {8,20}, {3,28}, {7,27}, {5,45}, {9,24}, {9,46}, {8,51}, {2,55}, {5,15}, {3,47}, {6,53}, {3,59}, {6,13}, {7,37}, {1,54}, {9,59}, {4,17}, {7,40}, {9,23}, {7,21}, {11,18}, {2,49} }; // ETB60.203 // Bipartite(12,48) Valencies [16,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3299775249027548244344832000000 EdgesBipt[60][202]:={ {6,48}, {2,44}, {11,17}, {11,53}, {3,33}, {9,58}, {5,17}, {1,20}, {9,28}, {2,33}, {11,36}, {11,35}, {3,22}, {2,56}, {3,40}, {4,16}, {4,53}, {1,56}, {1,13}, {2,51}, {9,45}, {7,55}, {7,38}, {4,29}, {1,32}, {3,45}, {8,33}, {3,15}, {10,23}, {7,44}, {2,15}, {1,19}, {2,27}, {12,42}, {3,58}, {5,47}, {12,55}, {2,26}, {8,39}, {11,41}, {3,52}, {3,57}, {2,14}, {8,15}, {8,44}, {4,23}, {8,27}, {12,37}, {10,22}, {10,53}, {2,45}, {3,34}, {3,46}, {6,31}, {1,38}, {7,56}, {1,50}, {4,22}, {7,20}, {10,47}, {1,55}, {9,27}, {12,36}, {1,44}, {4,41}, {5,29}, {2,38}, {12,49}, {10,52}, {8,14}, {8,45}, {2,39}, {7,32}, {1,31}, {10,41}, {7,49}, {7,13}, {7,43}, {7,25}, {10,28}, {12,13}, {10,59}, {11,59}, {6,55}, {4,47}, {6,30}, {6,43}, {5,23}, {10,29}, {6,60}, {9,34}, {6,49}, {3,51}, {2,20}, {2,57}, {6,18}, {4,59}, {4,52}, {10,40}, {12,43}, {7,50}, {3,39}, {4,35}, {7,26}, {2,32}, {5,18}, {11,23}, {6,24}, {11,29}, {5,30}, {11,30}, {5,24}, {11,60}, {12,25}, {5,48}, {8,56}, {7,14}, {3,27}, {9,51}, {10,46}, {4,28}, {1,43}, {4,46}, {8,26}, {5,42}, {9,22}, {7,31}, {11,54}, {10,58}, {5,41}, {8,57}, {9,40}, {5,54}, {8,32}, {8,21}, {9,57}, {11,24}, {1,49}, {12,19}, {5,59}, {12,30}, {5,36}, {3,21}, {1,25}, {6,19}, {4,58}, {6,54}, {1,37}, {3,16}, {5,60}, {6,42}, {4,40}, {10,35}, {6,36}, {2,21}, {10,17}, {8,38}, {1,26}, {4,34}, {8,50}, {10,34}, {6,25}, {9,33}, {11,47}, {9,39}, {12,48}, {9,52}, {11,48}, {3,28}, {8,20}, {12,24}, {1,14}, {9,46}, {8,51}, {6,37}, {12,31}, {9,15}, {6,13}, {7,37}, {5,35}, {7,19}, {4,17}, {9,21}, {9,16}, {11,42}, {12,54}, {12,18}, {11,18}, {5,53}, {2,50}, {10,16}, {12,60} }; // ETB60.204 // Bipartite(12,48) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 206235953064221765271552000000 EdgesBipt[60][203]:={ {2,44}, {8,48}, {3,33}, {11,20}, {2,46}, {12,29}, {5,34}, {11,56}, {4,24}, {9,60}, {2,56}, {4,16}, {4,30}, {11,25}, {8,30}, {7,48}, {6,17}, {1,13}, {12,22}, {7,55}, {8,42}, {8,54}, {3,45}, {3,13}, {3,43}, {3,25}, {3,15}, {7,54}, {10,26}, {12,41}, {1,19}, {10,33}, {3,37}, {2,26}, {11,14}, {12,35}, {7,36}, {10,44}, {12,58}, {3,57}, {9,53}, {2,28}, {12,34}, {2,14}, {9,35}, {8,44}, {11,50}, {10,15}, {6,29}, {6,47}, {6,21}, {5,40}, {11,38}, {4,60}, {2,34}, {1,17}, {9,48}, {9,47}, {5,22}, {4,22}, {3,49}, {9,29}, {10,38}, {1,55}, {12,17}, {2,38}, {12,46}, {11,49}, {2,52}, {8,14}, {4,42}, {9,41}, {11,13}, {1,31}, {8,60}, {7,49}, {7,13}, {7,43}, {7,25}, {11,31}, {5,58}, {11,44}, {12,16}, {9,54}, {1,59}, {3,51}, {10,21}, {9,42}, {2,20}, {4,52}, {1,29}, {7,30}, {2,16}, {3,39}, {8,36}, {6,33}, {2,32}, {1,23}, {12,47}, {4,48}, {5,46}, {12,28}, {8,56}, {3,27}, {4,54}, {4,28}, {10,45}, {6,23}, {1,43}, {4,46}, {5,28}, {8,26}, {10,51}, {7,31}, {6,15}, {4,36}, {12,59}, {6,51}, {8,32}, {3,19}, {12,23}, {6,27}, {1,49}, {12,40}, {12,53}, {10,32}, {11,55}, {3,21}, {1,25}, {4,58}, {5,51}, {1,53}, {6,41}, {7,60}, {9,30}, {10,39}, {1,35}, {1,37}, {5,39}, {11,26}, {4,40}, {5,33}, {9,18}, {11,37}, {10,27}, {8,38}, {6,45}, {2,22}, {4,34}, {8,50}, {11,32}, {9,17}, {8,24}, {1,47}, {2,40}, {10,50}, {9,36}, {12,52}, {3,55}, {5,27}, {8,18}, {2,58}, {4,18}, {10,57}, {10,56}, {11,19}, {8,20}, {1,41}, {5,45}, {7,24}, {3,31}, {9,24}, {6,59}, {10,20}, {6,39}, {5,15}, {10,14}, {11,43}, {5,21}, {6,53}, {7,37}, {9,59}, {7,19}, {6,35}, {7,42}, {9,23}, {5,52}, {5,57}, {6,57}, {2,50}, {7,18}, {5,16} }; // ETB60.205 // Bipartite(12,48) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 112190507323565801472 EdgesBipt[60][204]:={ {2,44}, {9,58}, {10,24}, {6,32}, {6,16}, {11,36}, {2,46}, {7,15}, {4,24}, {4,26}, {3,22}, {2,56}, {4,16}, {12,45}, {4,53}, {4,50}, {11,25}, {12,56}, {2,23}, {1,13}, {12,32}, {7,55}, {4,29}, {1,27}, {3,15}, {10,26}, {1,19}, {3,58}, {12,55}, {2,26}, {7,51}, {9,53}, {2,14}, {8,44}, {10,53}, {3,18}, {3,17}, {4,38}, {6,21}, {3,34}, {3,46}, {10,48}, {6,40}, {6,31}, {11,33}, {4,60}, {2,34}, {9,29}, {10,38}, {1,55}, {9,27}, {12,20}, {4,41}, {2,38}, {8,47}, {11,49}, {10,52}, {12,44}, {8,14}, {7,39}, {9,41}, {5,25}, {11,13}, {1,31}, {10,41}, {7,49}, {7,13}, {7,43}, {7,25}, {10,28}, {2,35}, {1,51}, {2,59}, {6,55}, {6,43}, {12,16}, {9,54}, {10,29}, {9,34}, {1,59}, {3,51}, {9,42}, {2,20}, {4,52}, {10,40}, {12,43}, {3,39}, {11,21}, {11,57}, {2,32}, {6,33}, {5,18}, {1,23}, {5,30}, {6,44}, {11,30}, {5,24}, {4,48}, {12,28}, {5,49}, {11,60}, {8,22}, {5,48}, {8,56}, {6,56}, {8,35}, {3,27}, {9,51}, {4,28}, {3,29}, {1,43}, {10,60}, {8,26}, {5,42}, {9,22}, {7,31}, {12,33}, {11,54}, {4,36}, {12,57}, {7,47}, {5,54}, {8,32}, {7,59}, {8,58}, {11,24}, {1,49}, {12,19}, {12,40}, {8,23}, {1,39}, {5,36}, {1,25}, {6,19}, {1,15}, {6,28}, {9,30}, {1,35}, {1,37}, {5,60}, {3,53}, {4,40}, {7,23}, {3,30}, {5,33}, {8,34}, {9,18}, {10,17}, {11,37}, {6,45}, {8,38}, {2,22}, {10,36}, {4,14}, {8,50}, {9,17}, {2,47}, {1,47}, {10,50}, {12,52}, {2,58}, {3,42}, {9,39}, {6,52}, {11,45}, {11,48}, {5,13}, {8,20}, {7,27}, {8,46}, {5,45}, {3,41}, {3,54}, {9,46}, {12,31}, {10,14}, {6,20}, {7,35}, {5,21}, {9,15}, {7,37}, {5,37}, {7,19}, {4,17}, {11,42}, {8,59}, {5,57}, {6,57}, {11,18}, {12,21}, {2,50}, {10,16} }; // ETB60.206 // Bipartite(12,48) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14023813415445725184 EdgesBipt[60][205]:={ {3,33}, {10,24}, {2,24}, {9,28}, {12,29}, {11,35}, {5,34}, {4,24}, {3,22}, {4,53}, {4,30}, {7,48}, {6,17}, {5,55}, {1,13}, {9,45}, {2,51}, {4,29}, {3,45}, {3,43}, {7,41}, {7,44}, {1,40}, {10,26}, {2,15}, {9,44}, {2,19}, {12,41}, {2,27}, {3,58}, {12,55}, {8,39}, {12,35}, {7,36}, {8,25}, {3,57}, {2,28}, {1,30}, {8,15}, {8,44}, {8,27}, {10,15}, {10,22}, {6,22}, {6,29}, {6,47}, {3,34}, {3,46}, {10,48}, {11,33}, {1,38}, {4,60}, {2,36}, {7,56}, {1,50}, {5,22}, {10,38}, {1,18}, {6,58}, {7,20}, {9,32}, {12,17}, {9,26}, {4,41}, {8,47}, {2,52}, {5,43}, {11,51}, {4,42}, {5,25}, {2,39}, {7,32}, {11,15}, {3,56}, {4,45}, {7,49}, {7,13}, {9,14}, {7,25}, {5,58}, {3,44}, {11,59}, {4,33}, {12,16}, {4,21}, {3,20}, {2,48}, {9,50}, {12,43}, {2,16}, {7,53}, {3,32}, {11,21}, {11,57}, {5,18}, {4,57}, {6,50}, {11,23}, {5,30}, {7,17}, {6,46}, {9,56}, {11,30}, {12,47}, {4,48}, {5,46}, {12,28}, {5,49}, {8,13}, {8,56}, {8,35}, {9,20}, {1,28}, {4,54}, {10,46}, {6,23}, {8,37}, {10,60}, {10,51}, {5,42}, {1,52}, {11,54}, {10,58}, {4,36}, {12,59}, {9,40}, {5,54}, {8,32}, {1,42}, {3,19}, {12,23}, {9,57}, {5,31}, {1,49}, {11,39}, {6,26}, {12,19}, {12,40}, {12,53}, {8,23}, {3,21}, {1,25}, {7,29}, {6,41}, {7,60}, {6,14}, {10,39}, {1,37}, {11,27}, {10,27}, {1,26}, {10,36}, {1,16}, {10,34}, {6,38}, {2,40}, {2,31}, {10,50}, {9,33}, {12,52}, {6,34}, {3,55}, {11,47}, {8,49}, {4,18}, {9,38}, {9,52}, {11,45}, {5,13}, {8,20}, {7,24}, {3,31}, {1,14}, {6,59}, {8,51}, {2,55}, {12,31}, {10,14}, {5,19}, {6,53}, {7,37}, {1,54}, {2,60}, {5,37}, {2,43}, {4,17}, {6,35}, {9,21}, {9,16}, {11,42}, {8,59}, {11,18} }; // ETB60.207 // Bipartite(12,48) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1752976676930715648 EdgesBipt[60][206]:={ {9,58}, {5,17}, {1,20}, {6,32}, {11,36}, {4,27}, {4,24}, {9,60}, {4,26}, {3,22}, {12,51}, {4,53}, {1,56}, {4,50}, {8,30}, {7,48}, {6,17}, {2,23}, {1,13}, {8,43}, {5,55}, {5,38}, {7,38}, {8,42}, {8,54}, {8,28}, {4,29}, {1,32}, {8,33}, {3,43}, {10,23}, {12,39}, {8,52}, {9,49}, {10,33}, {12,42}, {3,58}, {11,58}, {2,26}, {7,36}, {10,44}, {2,28}, {2,14}, {8,31}, {12,37}, {10,30}, {6,29}, {3,17}, {8,16}, {4,38}, {3,34}, {5,40}, {2,25}, {3,46}, {11,33}, {4,60}, {9,48}, {8,19}, {7,57}, {10,47}, {5,50}, {9,27}, {1,44}, {4,41}, {5,29}, {2,38}, {2,37}, {12,49}, {2,52}, {5,43}, {8,45}, {3,56}, {10,54}, {11,22}, {11,31}, {2,35}, {1,22}, {3,44}, {12,13}, {2,59}, {10,59}, {6,30}, {12,16}, {3,20}, {9,34}, {1,59}, {10,21}, {2,13}, {6,18}, {7,50}, {2,16}, {3,32}, {11,21}, {11,57}, {9,25}, {7,26}, {1,23}, {6,44}, {9,37}, {4,48}, {12,28}, {11,60}, {12,25}, {1,58}, {6,56}, {10,42}, {5,14}, {4,15}, {7,14}, {9,51}, {10,45}, {3,29}, {5,28}, {9,22}, {6,15}, {5,41}, {4,36}, {8,57}, {6,51}, {7,47}, {9,13}, {12,27}, {8,21}, {7,59}, {3,19}, {5,31}, {6,27}, {11,24}, {1,49}, {8,40}, {12,40}, {12,30}, {10,32}, {11,55}, {1,25}, {1,46}, {11,46}, {6,54}, {6,41}, {7,60}, {12,15}, {1,35}, {1,37}, {6,42}, {3,53}, {10,35}, {7,23}, {4,51}, {4,14}, {10,18}, {2,47}, {1,47}, {2,40}, {9,36}, {12,52}, {3,55}, {8,55}, {5,26}, {8,18}, {10,57}, {9,39}, {10,56}, {11,19}, {11,45}, {11,48}, {7,45}, {3,41}, {7,24}, {3,31}, {9,24}, {9,46}, {10,20}, {6,39}, {7,33}, {11,34}, {5,19}, {6,20}, {7,35}, {11,43}, {6,53}, {9,15}, {1,34}, {4,17}, {4,39}, {12,54}, {7,21}, {5,52}, {12,18}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB60.208 // Bipartite(12,48) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1752976676930715648 EdgesBipt[60][207]:={ {6,48}, {2,44}, {10,24}, {10,25}, {6,32}, {7,15}, {9,60}, {4,26}, {3,22}, {12,51}, {2,56}, {10,37}, {4,53}, {4,30}, {4,50}, {8,30}, {6,17}, {5,55}, {1,13}, {7,38}, {8,42}, {8,54}, {4,29}, {8,33}, {3,43}, {7,54}, {5,56}, {9,44}, {12,39}, {10,33}, {3,58}, {3,35}, {5,47}, {12,55}, {11,58}, {5,20}, {7,51}, {8,25}, {2,41}, {2,28}, {5,32}, {9,35}, {6,29}, {4,38}, {6,21}, {3,34}, {5,40}, {2,25}, {3,46}, {10,48}, {1,38}, {1,17}, {9,48}, {1,50}, {9,47}, {3,14}, {9,32}, {9,27}, {12,36}, {4,41}, {2,37}, {2,52}, {10,52}, {5,43}, {8,45}, {11,51}, {7,39}, {4,42}, {11,15}, {4,45}, {11,22}, {2,53}, {10,28}, {11,31}, {1,22}, {4,33}, {12,16}, {5,23}, {4,21}, {6,60}, {10,21}, {2,13}, {2,20}, {10,40}, {12,43}, {1,29}, {7,50}, {7,30}, {2,16}, {7,26}, {6,33}, {2,32}, {4,57}, {6,24}, {6,44}, {9,56}, {11,30}, {12,28}, {8,13}, {8,22}, {1,58}, {6,56}, {9,20}, {7,14}, {3,50}, {9,51}, {4,54}, {10,13}, {10,45}, {3,26}, {8,37}, {10,60}, {5,28}, {11,54}, {2,17}, {8,57}, {7,47}, {12,27}, {8,21}, {7,59}, {3,19}, {8,58}, {5,31}, {1,49}, {5,44}, {11,39}, {12,19}, {5,59}, {12,40}, {3,23}, {11,55}, {1,25}, {1,46}, {11,46}, {1,53}, {6,41}, {12,15}, {1,37}, {7,23}, {6,36}, {8,34}, {2,29}, {11,27}, {6,45}, {1,26}, {10,36}, {4,14}, {10,49}, {2,40}, {9,36}, {12,52}, {3,55}, {8,49}, {8,18}, {4,18}, {10,57}, {9,39}, {11,19}, {12,48}, {3,38}, {12,24}, {7,27}, {8,46}, {1,41}, {3,31}, {9,24}, {1,14}, {12,31}, {3,47}, {11,34}, {5,19}, {6,20}, {7,35}, {11,43}, {6,53}, {3,59}, {9,15}, {5,35}, {1,34}, {9,59}, {4,17}, {11,42}, {7,42}, {9,23}, {5,52}, {6,57}, {11,18}, {2,49}, {7,18}, {10,16}, {12,60}, {5,16} }; // ETB60.209 // Bipartite(12,48) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12884901888 EdgesBipt[60][208]:={ {6,48}, {8,48}, {2,44}, {5,17}, {10,25}, {9,28}, {6,32}, {11,36}, {2,46}, {12,29}, {7,15}, {11,35}, {11,56}, {9,60}, {4,26}, {4,16}, {12,45}, {10,37}, {4,53}, {4,30}, {4,50}, {8,30}, {2,23}, {1,13}, {5,55}, {2,51}, {8,54}, {4,29}, {3,45}, {8,33}, {1,27}, {3,15}, {1,40}, {7,54}, {7,22}, {12,39}, {2,19}, {12,41}, {2,27}, {10,33}, {3,58}, {12,55}, {5,20}, {7,34}, {1,21}, {8,25}, {2,41}, {9,53}, {2,28}, {8,31}, {12,37}, {10,15}, {11,28}, {7,58}, {3,34}, {5,40}, {11,33}, {1,38}, {9,48}, {1,50}, {4,22}, {9,29}, {7,57}, {10,38}, {6,58}, {3,14}, {12,17}, {9,26}, {12,36}, {2,52}, {5,43}, {7,46}, {11,51}, {7,39}, {9,41}, {5,25}, {3,56}, {8,60}, {4,45}, {11,22}, {7,43}, {1,51}, {3,44}, {12,13}, {11,59}, {4,21}, {3,20}, {1,59}, {9,42}, {2,20}, {6,18}, {4,59}, {9,50}, {7,30}, {2,16}, {3,39}, {7,53}, {3,32}, {4,35}, {11,57}, {8,36}, {6,50}, {11,23}, {6,24}, {5,30}, {6,44}, {5,24}, {9,37}, {12,47}, {5,49}, {11,60}, {1,45}, {5,48}, {8,56}, {6,56}, {8,35}, {10,42}, {4,54}, {10,13}, {4,46}, {10,51}, {5,41}, {2,17}, {10,43}, {8,57}, {9,13}, {5,54}, {11,52}, {8,32}, {12,23}, {5,31}, {1,49}, {5,44}, {6,26}, {12,53}, {3,23}, {3,21}, {1,25}, {11,46}, {4,58}, {7,29}, {6,28}, {12,15}, {6,14}, {10,39}, {1,35}, {1,37}, {6,42}, {4,40}, {9,18}, {11,27}, {10,27}, {1,26}, {2,22}, {4,34}, {1,16}, {11,32}, {9,17}, {10,18}, {8,24}, {2,47}, {10,49}, {6,38}, {2,40}, {9,36}, {6,34}, {3,55}, {11,47}, {8,55}, {8,49}, {10,57}, {6,52}, {10,19}, {3,38}, {9,52}, {3,31}, {9,24}, {1,14}, {7,33}, {12,31}, {3,47}, {10,14}, {5,19}, {6,20}, {7,19}, {2,43}, {7,42}, {8,59}, {12,21}, {7,18}, {12,60}, {5,16} }; // ETB60.210 // Bipartite(12,48) Valencies [16,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12884901888 EdgesBipt[60][209]:={ {6,48}, {2,44}, {5,17}, {11,36}, {2,46}, {7,15}, {11,35}, {5,34}, {4,24}, {12,45}, {10,37}, {4,53}, {4,30}, {11,25}, {12,56}, {6,17}, {2,23}, {1,13}, {5,55}, {9,45}, {12,32}, {8,28}, {4,29}, {8,33}, {3,15}, {12,38}, {1,40}, {7,54}, {5,56}, {4,19}, {7,22}, {4,31}, {2,19}, {8,52}, {10,33}, {12,42}, {3,58}, {3,35}, {5,20}, {2,26}, {1,21}, {12,35}, {7,36}, {2,41}, {9,53}, {5,32}, {8,31}, {8,27}, {12,50}, {11,50}, {10,15}, {10,22}, {11,28}, {6,29}, {6,47}, {3,34}, {5,40}, {2,25}, {1,38}, {4,60}, {9,29}, {7,57}, {10,38}, {6,58}, {3,14}, {1,55}, {9,32}, {9,26}, {9,27}, {12,20}, {11,49}, {10,52}, {5,43}, {12,44}, {7,46}, {11,51}, {7,39}, {9,41}, {1,31}, {8,60}, {4,45}, {11,22}, {7,43}, {10,28}, {5,58}, {3,44}, {11,59}, {4,21}, {3,20}, {9,42}, {2,20}, {9,50}, {10,40}, {7,30}, {2,16}, {3,39}, {7,53}, {8,36}, {11,23}, {6,24}, {9,56}, {9,37}, {4,48}, {11,60}, {1,45}, {8,56}, {8,35}, {10,42}, {4,55}, {1,28}, {9,51}, {4,54}, {10,46}, {4,43}, {10,13}, {6,23}, {1,52}, {12,26}, {6,15}, {5,41}, {4,36}, {2,17}, {8,57}, {12,59}, {6,51}, {9,13}, {11,52}, {8,32}, {1,24}, {8,58}, {6,27}, {5,31}, {1,49}, {5,44}, {12,30}, {3,23}, {12,14}, {1,25}, {11,46}, {7,29}, {6,41}, {7,60}, {10,39}, {1,37}, {11,26}, {3,30}, {5,33}, {8,34}, {9,18}, {3,24}, {11,27}, {2,22}, {1,16}, {3,48}, {9,17}, {10,18}, {2,47}, {4,49}, {2,40}, {6,34}, {11,47}, {8,55}, {10,57}, {4,25}, {3,38}, {1,48}, {3,54}, {1,14}, {8,51}, {6,39}, {7,33}, {6,37}, {3,47}, {10,14}, {5,19}, {6,53}, {3,59}, {6,13}, {7,19}, {2,43}, {9,21}, {12,54}, {7,42}, {8,59}, {5,57}, {12,18}, {12,21}, {2,50}, {2,49}, {7,18}, {10,16}, {5,16} }; // ETB60.211 // Bipartite(20,40) Valencies [16,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1280 EdgesBipt[60][210]:={ {15,33}, {6,38}, {15,59}, {8,57}, {14,36}, {6,59}, {11,49}, {5,22}, {16,51}, {11,25}, {5,43}, {11,59}, {19,57}, {5,45}, {12,22}, {8,26}, {1,49}, {16,22}, {13,39}, {17,42}, {14,50}, {17,33}, {8,40}, {5,57}, {16,58}, {3,35}, {10,33}, {8,23}, {1,21}, {3,21}, {19,37}, {15,56}, {20,58}, {5,32}, {4,51}, {8,31}, {4,40}, {4,37}, {2,46}, {6,56}, {13,43}, {14,29}, {16,21}, {19,21}, {14,44}, {2,33}, {17,35}, {4,38}, {3,49}, {11,27}, {2,34}, {20,26}, {19,31}, {16,48}, {18,32}, {15,32}, {2,52}, {8,30}, {16,49}, {13,59}, {7,45}, {8,37}, {20,24}, {17,39}, {8,52}, {12,38}, {7,41}, {13,30}, {12,42}, {11,39}, {6,49}, {7,33}, {3,52}, {19,48}, {20,29}, {17,26}, {1,24}, {2,48}, {18,58}, {5,37}, {13,55}, {16,25}, {9,56}, {13,42}, {20,35}, {1,36}, {1,29}, {6,46}, {10,35}, {6,44}, {8,38}, {18,57}, {9,47}, {12,52}, {5,50}, {6,24}, {18,47}, {8,49}, {16,40}, {20,42}, {18,29}, {9,29}, {8,42}, {4,22}, {7,54}, {18,36}, {6,51}, {10,59}, {5,27}, {19,46}, {3,43}, {15,28}, {14,46}, {9,46}, {1,42}, {7,32}, {12,24}, {19,56}, {3,31}, {18,55}, {1,39}, {2,30}, {5,53}, {9,58}, {15,50}, {3,36}, {19,23}, {14,60}, {4,32}, {4,60}, {2,44}, {12,56}, {12,47}, {1,55}, {11,36}, {3,30}, {3,55}, {13,48}, {9,51}, {10,57}, {11,23}, {16,57}, {3,24}, {15,37}, {8,60}, {17,51}, {11,48}, {19,30}, {10,55}, {8,47}, {4,41}, {14,21}, {9,26}, {11,58}, {20,22}, {12,55}, {13,53}, {15,23}, {18,54}, {3,44}, {11,34}, {17,28}, {7,35}, {11,46}, {5,52}, {2,27}, {7,50}, {1,22}, {7,34}, {9,31}, {15,52}, {13,22}, {15,53}, {13,56}, {1,25}, {13,31}, {5,39}, {8,53}, {19,55}, {14,27}, {18,44}, {7,28}, {19,41}, {14,52}, {15,46}, {17,30}, {10,22}, {10,30}, {20,47}, {4,50}, {12,45}, {10,25}, {17,38}, {12,29}, {6,31}, {15,24}, {17,52}, {11,54}, {3,42}, {14,37}, {13,38}, {18,31}, {14,40}, {16,31}, {16,45}, {6,23}, {20,59}, {15,39}, {4,29}, {1,54}, {4,59}, {17,25}, {16,44}, {2,41}, {2,26}, {3,53}, {17,50}, {18,41}, {10,40}, {1,60}, {9,21}, {7,29}, {2,45}, {6,47}, {13,32}, {14,26}, {10,50}, {20,50}, {14,51}, {11,30}, {19,33}, {9,28}, {3,34}, {19,43}, {7,55}, {19,60}, {16,38}, {20,28}, {5,58}, {20,53}, {8,58}, {16,27}, {12,44}, {19,25}, {10,41}, {12,33}, {2,57}, {6,54}, {20,27}, {15,47}, {14,49}, {7,51}, {14,24}, {12,60}, {13,34}, {11,41}, {17,60}, {7,25}, {13,35}, {5,21}, {10,53}, {6,28}, {18,23}, {18,53}, {1,56}, {13,54}, {20,34}, {20,45}, {10,60}, {11,28}, {2,47}, {1,23}, {16,35}, {10,24}, {10,27}, {17,45}, {9,45}, {14,41}, {4,26}, {12,57}, {16,54}, {1,28}, {3,27}, {2,38}, {2,59}, {12,32}, {15,36}, {7,44}, {7,43}, {18,40}, {19,51}, {20,40}, {5,25}, {10,23}, {9,43}, {8,39}, {9,42}, {5,36}, {9,34}, {15,43}, {4,39}, {7,36}, {6,35}, {17,43}, {1,58}, {4,48}, {2,32}, {12,21}, {6,33}, {18,34}, {17,49}, {11,26}, {3,46}, {9,48}, {5,48}, {18,37}, {4,56}, {4,54}, {9,37}, {6,40} }; // ETB60.212 // Bipartite(20,40) Valencies [16,8] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1280 EdgesBipt[60][211]:={ {15,33}, {7,48}, {6,38}, {8,57}, {14,36}, {9,32}, {6,25}, {5,56}, {16,51}, {4,28}, {5,59}, {11,59}, {2,60}, {3,26}, {1,40}, {14,38}, {2,35}, {17,33}, {8,40}, {20,46}, {15,27}, {11,53}, {2,49}, {10,39}, {1,21}, {3,21}, {16,28}, {20,52}, {13,27}, {14,57}, {16,21}, {13,40}, {6,32}, {2,33}, {17,35}, {4,38}, {11,29}, {10,56}, {10,47}, {19,40}, {20,38}, {12,28}, {19,31}, {12,48}, {15,32}, {8,30}, {7,59}, {16,49}, {8,46}, {8,37}, {20,24}, {5,41}, {6,60}, {20,49}, {12,26}, {13,30}, {17,59}, {4,58}, {19,22}, {12,31}, {3,52}, {12,40}, {13,47}, {13,24}, {5,37}, {13,55}, {16,25}, {20,35}, {9,35}, {1,29}, {16,34}, {18,39}, {4,23}, {20,55}, {18,47}, {18,46}, {14,32}, {2,36}, {8,49}, {13,41}, {20,42}, {18,29}, {9,36}, {6,34}, {12,49}, {11,51}, {8,42}, {18,26}, {6,51}, {5,27}, {16,59}, {18,56}, {14,46}, {20,41}, {9,59}, {3,47}, {1,42}, {19,56}, {19,47}, {3,51}, {11,22}, {1,39}, {11,42}, {17,57}, {9,58}, {14,34}, {15,50}, {3,36}, {11,60}, {14,54}, {14,60}, {8,56}, {19,27}, {1,55}, {18,51}, {4,53}, {11,36}, {3,30}, {13,48}, {2,24}, {11,23}, {16,57}, {3,24}, {15,37}, {14,23}, {10,38}, {10,46}, {13,25}, {17,58}, {14,39}, {10,55}, {8,24}, {4,41}, {14,21}, {17,54}, {8,45}, {17,31}, {2,23}, {4,45}, {12,55}, {1,51}, {1,59}, {9,54}, {20,54}, {13,45}, {3,25}, {7,35}, {15,60}, {16,56}, {2,43}, {15,58}, {5,52}, {6,30}, {4,33}, {1,22}, {11,24}, {10,31}, {7,58}, {15,52}, {13,50}, {20,30}, {8,53}, {3,32}, {16,41}, {7,28}, {6,45}, {13,29}, {8,34}, {9,25}, {15,46}, {10,22}, {10,30}, {4,50}, {16,30}, {7,23}, {6,22}, {4,34}, {15,35}, {17,38}, {17,52}, {10,52}, {19,50}, {14,37}, {1,44}, {19,53}, {19,44}, {1,48}, {16,31}, {16,45}, {20,59}, {7,39}, {4,29}, {9,44}, {1,32}, {1,54}, {7,52}, {20,60}, {6,43}, {6,57}, {9,24}, {5,31}, {17,22}, {17,25}, {20,48}, {19,34}, {3,60}, {16,44}, {4,44}, {2,41}, {12,43}, {2,26}, {10,40}, {10,21}, {7,29}, {11,56}, {18,30}, {2,28}, {9,23}, {13,44}, {14,58}, {8,27}, {5,46}, {4,55}, {3,48}, {16,36}, {14,26}, {1,45}, {14,51}, {19,39}, {19,43}, {18,28}, {15,29}, {11,47}, {4,46}, {8,43}, {2,31}, {16,38}, {11,45}, {18,27}, {5,58}, {2,53}, {12,44}, {5,26}, {19,25}, {7,47}, {5,29}, {10,41}, {7,31}, {12,33}, {8,33}, {12,39}, {2,57}, {3,57}, {15,55}, {18,49}, {7,51}, {11,41}, {7,25}, {9,50}, {7,22}, {15,42}, {5,21}, {2,50}, {10,53}, {17,24}, {17,40}, {20,23}, {19,36}, {6,28}, {19,58}, {6,42}, {18,23}, {19,32}, {13,33}, {18,43}, {5,49}, {1,56}, {7,26}, {10,60}, {11,37}, {2,47}, {17,53}, {3,40}, {8,54}, {15,22}, {17,45}, {12,57}, {17,37}, {13,28}, {3,27}, {9,27}, {7,38}, {12,32}, {10,43}, {6,55}, {9,49}, {5,44}, {12,54}, {15,26}, {14,53}, {3,37}, {9,42}, {5,36}, {9,34}, {15,43}, {4,39}, {12,35}, {6,35}, {11,50}, {13,52}, {6,50}, {20,21}, {1,37}, {18,42}, {12,21}, {18,34}, {18,48}, {9,48}, {5,33}, {4,54} }; // ETB60.213 // Bipartite(20,40) Valencies [16,8] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8485136354642266914029568000000 EdgesBipt[60][212]:={ {13,21}, {19,28}, {10,37}, {15,59}, {11,49}, {6,59}, {5,22}, {16,51}, {4,28}, {2,55}, {3,58}, {5,59}, {11,59}, {8,51}, {2,60}, {12,22}, {3,26}, {8,26}, {1,49}, {14,38}, {17,42}, {15,44}, {15,54}, {14,50}, {2,35}, {5,57}, {8,21}, {15,27}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {3,21}, {20,37}, {5,32}, {7,30}, {8,31}, {4,40}, {20,52}, {13,43}, {6,56}, {16,21}, {17,35}, {4,38}, {11,29}, {15,57}, {10,42}, {6,29}, {10,47}, {19,40}, {2,25}, {4,43}, {15,32}, {2,52}, {4,30}, {16,49}, {9,33}, {7,45}, {8,46}, {20,24}, {20,49}, {7,27}, {4,58}, {12,42}, {6,39}, {11,39}, {6,49}, {12,40}, {19,48}, {20,29}, {1,24}, {18,58}, {20,39}, {5,37}, {9,35}, {1,36}, {1,29}, {12,37}, {13,51}, {16,34}, {6,46}, {6,44}, {4,23}, {13,58}, {8,38}, {13,26}, {17,47}, {12,52}, {6,24}, {5,34}, {18,46}, {1,26}, {13,41}, {20,42}, {6,34}, {11,51}, {18,26}, {5,54}, {18,33}, {18,36}, {6,51}, {3,38}, {10,59}, {5,27}, {16,59}, {3,43}, {18,56}, {14,35}, {7,32}, {7,60}, {19,38}, {1,31}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {2,30}, {17,57}, {9,58}, {3,36}, {19,23}, {8,48}, {14,60}, {4,60}, {8,56}, {14,28}, {11,21}, {12,47}, {6,36}, {18,51}, {4,53}, {16,29}, {11,36}, {13,48}, {10,57}, {14,33}, {15,37}, {14,23}, {15,34}, {9,55}, {19,30}, {8,41}, {9,38}, {18,38}, {13,36}, {1,41}, {20,22}, {4,45}, {12,55}, {1,51}, {1,59}, {13,53}, {20,54}, {11,44}, {11,34}, {17,55}, {7,35}, {19,45}, {11,46}, {16,56}, {5,52}, {2,27}, {12,30}, {4,33}, {7,50}, {11,24}, {10,44}, {10,29}, {15,52}, {13,56}, {13,31}, {9,30}, {5,39}, {8,53}, {19,55}, {16,41}, {20,44}, {9,25}, {17,30}, {10,22}, {20,47}, {4,50}, {12,45}, {6,31}, {15,24}, {17,52}, {16,26}, {11,54}, {12,25}, {10,52}, {14,43}, {19,50}, {1,44}, {13,38}, {15,49}, {10,54}, {19,53}, {18,31}, {14,40}, {16,31}, {20,59}, {3,41}, {15,39}, {1,54}, {7,52}, {17,22}, {17,25}, {16,44}, {7,40}, {12,50}, {20,32}, {3,53}, {17,50}, {18,41}, {14,55}, {18,21}, {11,56}, {9,23}, {8,36}, {14,58}, {2,45}, {4,55}, {3,48}, {3,33}, {16,36}, {19,33}, {9,28}, {19,43}, {7,55}, {20,57}, {16,46}, {18,28}, {5,24}, {15,29}, {2,22}, {19,60}, {8,43}, {3,56}, {8,58}, {19,25}, {7,47}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {8,33}, {5,47}, {2,57}, {6,54}, {20,27}, {15,47}, {11,31}, {12,60}, {19,35}, {11,41}, {17,60}, {7,25}, {9,50}, {7,22}, {6,26}, {15,42}, {1,34}, {7,42}, {2,50}, {6,41}, {17,40}, {9,60}, {19,58}, {18,23}, {4,35}, {13,33}, {18,43}, {18,53}, {14,25}, {5,49}, {1,56}, {20,34}, {2,47}, {10,24}, {10,27}, {10,34}, {13,23}, {17,27}, {2,40}, {6,21}, {15,22}, {17,45}, {9,45}, {12,57}, {16,54}, {16,39}, {17,37}, {13,28}, {16,24}, {5,42}, {12,32}, {8,28}, {9,40}, {5,44}, {9,53}, {9,43}, {14,53}, {1,46}, {10,32}, {13,46}, {12,35}, {17,32}, {14,48}, {2,42}, {4,48}, {7,57}, {2,32}, {18,48}, {11,26}, {3,46}, {9,48}, {10,49} }; // ETB60.214 // Bipartite(20,40) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13094346226299794620416000000 EdgesBipt[60][213]:={ {6,38}, {15,59}, {8,57}, {14,36}, {6,59}, {11,49}, {19,26}, {4,28}, {2,55}, {3,58}, {5,59}, {11,59}, {8,51}, {5,45}, {2,60}, {12,22}, {8,26}, {1,49}, {13,37}, {14,38}, {17,42}, {15,44}, {15,54}, {2,35}, {4,31}, {16,58}, {10,33}, {8,21}, {14,31}, {14,56}, {3,23}, {1,21}, {6,48}, {16,28}, {20,58}, {4,51}, {8,31}, {13,43}, {6,58}, {13,27}, {10,48}, {19,21}, {4,38}, {11,29}, {6,29}, {19,40}, {20,38}, {19,31}, {2,25}, {4,43}, {16,48}, {18,32}, {2,52}, {16,49}, {7,59}, {20,43}, {8,46}, {8,37}, {17,39}, {8,52}, {17,59}, {7,27}, {4,58}, {12,42}, {6,39}, {11,39}, {6,49}, {3,52}, {12,40}, {13,47}, {5,60}, {1,24}, {15,30}, {9,56}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {16,43}, {10,35}, {15,45}, {6,44}, {4,23}, {13,58}, {18,57}, {20,55}, {17,47}, {5,50}, {12,52}, {6,24}, {5,34}, {18,47}, {18,46}, {1,26}, {8,22}, {9,36}, {6,34}, {11,51}, {8,42}, {18,26}, {7,54}, {5,54}, {18,36}, {3,38}, {16,59}, {19,46}, {3,43}, {18,56}, {14,46}, {9,46}, {3,47}, {7,32}, {19,56}, {1,31}, {12,27}, {1,39}, {7,37}, {2,30}, {17,57}, {5,35}, {15,50}, {4,21}, {17,29}, {20,25}, {8,56}, {14,28}, {11,21}, {12,47}, {18,51}, {4,53}, {16,29}, {11,36}, {13,48}, {9,51}, {14,33}, {14,23}, {10,38}, {15,34}, {10,58}, {18,22}, {9,55}, {19,30}, {10,55}, {8,47}, {4,41}, {8,41}, {14,21}, {9,26}, {17,54}, {1,41}, {12,55}, {1,51}, {1,59}, {13,53}, {11,44}, {11,34}, {19,45}, {15,60}, {11,46}, {2,27}, {12,30}, {4,33}, {7,34}, {11,24}, {9,31}, {13,22}, {20,30}, {9,30}, {5,39}, {19,55}, {3,32}, {17,44}, {19,41}, {9,25}, {10,30}, {5,40}, {12,45}, {10,25}, {15,35}, {15,24}, {17,52}, {12,25}, {11,54}, {15,40}, {3,42}, {14,43}, {19,50}, {3,22}, {13,57}, {1,44}, {13,38}, {15,49}, {18,31}, {7,49}, {9,41}, {6,23}, {7,39}, {4,36}, {15,39}, {1,54}, {7,52}, {20,60}, {6,43}, {8,32}, {7,24}, {10,28}, {17,22}, {20,48}, {16,44}, {12,50}, {3,53}, {18,41}, {10,40}, {18,21}, {9,21}, {7,29}, {11,56}, {8,36}, {14,58}, {8,27}, {2,45}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {20,50}, {14,51}, {16,53}, {5,24}, {15,29}, {2,22}, {4,46}, {18,52}, {19,60}, {16,38}, {18,27}, {20,28}, {20,53}, {19,25}, {7,47}, {2,37}, {5,29}, {3,28}, {2,57}, {17,34}, {6,54}, {3,57}, {15,55}, {11,31}, {20,33}, {12,60}, {19,35}, {11,41}, {9,50}, {7,22}, {1,34}, {7,42}, {2,50}, {10,53}, {17,24}, {20,23}, {9,60}, {19,36}, {6,28}, {16,23}, {13,33}, {5,49}, {1,56}, {20,45}, {10,60}, {2,47}, {5,55}, {16,33}, {17,27}, {10,45}, {13,23}, {2,40}, {9,45}, {14,41}, {4,26}, {12,57}, {16,54}, {17,37}, {16,39}, {13,28}, {16,24}, {3,27}, {12,32}, {10,43}, {6,53}, {7,44}, {9,40}, {19,51}, {20,40}, {5,44}, {5,25}, {10,23}, {14,53}, {1,46}, {3,37}, {12,35}, {17,32}, {13,52}, {14,48}, {2,42}, {18,42}, {4,48}, {7,57}, {6,33}, {2,32}, {17,49}, {11,26}, {15,25}, {18,37}, {4,56}, {5,30} }; // ETB60.215 // Bipartite(20,40) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60582873954725532794880 EdgesBipt[60][214]:={ {7,48}, {6,38}, {15,59}, {14,36}, {6,59}, {11,49}, {5,22}, {16,51}, {19,26}, {5,59}, {11,59}, {19,57}, {5,45}, {12,22}, {3,26}, {8,26}, {1,49}, {17,42}, {17,33}, {4,31}, {8,40}, {16,58}, {14,31}, {14,56}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {6,48}, {19,37}, {16,28}, {5,32}, {4,51}, {4,37}, {20,52}, {13,43}, {6,58}, {14,57}, {16,21}, {19,21}, {13,40}, {2,33}, {11,29}, {10,42}, {6,29}, {12,28}, {19,31}, {12,48}, {16,48}, {15,32}, {2,52}, {8,30}, {16,49}, {8,46}, {9,57}, {12,38}, {20,49}, {13,30}, {7,27}, {12,42}, {6,39}, {11,39}, {6,49}, {7,33}, {20,29}, {1,24}, {5,60}, {13,24}, {2,48}, {15,30}, {12,23}, {20,39}, {9,56}, {20,35}, {9,35}, {1,29}, {12,37}, {16,34}, {15,45}, {10,35}, {6,44}, {20,55}, {13,26}, {17,47}, {9,47}, {12,52}, {5,50}, {6,24}, {1,38}, {18,46}, {20,42}, {9,36}, {6,34}, {11,51}, {18,26}, {18,33}, {18,36}, {6,51}, {10,59}, {16,59}, {19,46}, {3,43}, {18,56}, {14,46}, {9,46}, {14,35}, {7,32}, {19,56}, {1,31}, {12,27}, {19,47}, {1,39}, {7,37}, {17,57}, {7,53}, {5,35}, {15,50}, {3,36}, {4,21}, {20,25}, {8,56}, {19,27}, {8,50}, {11,21}, {12,47}, {16,29}, {3,30}, {9,51}, {3,24}, {8,60}, {9,55}, {17,58}, {11,48}, {10,55}, {8,24}, {4,41}, {14,21}, {9,26}, {11,58}, {13,36}, {1,41}, {2,23}, {20,22}, {4,45}, {1,51}, {1,59}, {13,53}, {18,54}, {11,44}, {4,47}, {3,44}, {11,34}, {17,28}, {19,45}, {15,60}, {2,43}, {5,52}, {2,27}, {11,24}, {4,57}, {9,31}, {10,29}, {7,58}, {15,52}, {13,56}, {13,50}, {20,30}, {5,39}, {8,53}, {19,55}, {14,27}, {18,44}, {16,41}, {7,28}, {19,41}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {7,23}, {10,25}, {15,35}, {17,38}, {6,31}, {17,52}, {11,54}, {15,40}, {10,52}, {14,37}, {1,44}, {15,49}, {1,48}, {9,41}, {16,31}, {20,59}, {4,36}, {15,39}, {1,54}, {7,52}, {20,60}, {17,22}, {3,60}, {16,44}, {12,43}, {20,32}, {3,53}, {10,40}, {14,55}, {9,21}, {14,47}, {18,30}, {2,28}, {8,36}, {13,44}, {4,55}, {3,33}, {14,26}, {10,50}, {20,50}, {14,51}, {3,50}, {3,34}, {4,27}, {15,29}, {2,22}, {4,46}, {18,24}, {8,43}, {3,56}, {16,38}, {3,54}, {2,53}, {19,25}, {7,47}, {2,37}, {5,29}, {12,53}, {4,25}, {12,33}, {8,33}, {12,58}, {2,57}, {6,54}, {15,55}, {11,31}, {19,35}, {13,34}, {11,41}, {7,22}, {15,42}, {1,34}, {7,42}, {6,41}, {8,44}, {19,36}, {6,28}, {18,23}, {4,35}, {13,33}, {18,43}, {18,53}, {14,25}, {5,49}, {13,54}, {20,45}, {10,60}, {11,28}, {2,47}, {5,55}, {17,53}, {3,40}, {13,60}, {17,27}, {10,45}, {13,23}, {8,54}, {6,21}, {15,22}, {9,45}, {14,41}, {18,50}, {4,26}, {12,57}, {16,54}, {17,37}, {16,39}, {1,28}, {16,24}, {9,27}, {7,38}, {5,42}, {2,38}, {12,32}, {7,43}, {18,40}, {19,51}, {18,60}, {20,40}, {5,25}, {17,23}, {10,32}, {13,46}, {17,32}, {17,43}, {1,58}, {2,42}, {7,57}, {2,32}, {18,34}, {3,46}, {17,48}, {15,25}, {2,58}, {4,56}, {5,30}, {11,38}, {10,49}, {9,37} }; // ETB60.216 // Bipartite(20,40) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2597002484341800960 EdgesBipt[60][215]:={ {15,33}, {18,45}, {7,48}, {19,28}, {11,40}, {5,56}, {16,51}, {19,26}, {5,43}, {8,51}, {12,22}, {3,26}, {13,37}, {1,40}, {13,39}, {15,44}, {15,54}, {14,50}, {5,57}, {20,46}, {10,33}, {8,21}, {11,57}, {15,27}, {2,49}, {1,21}, {3,39}, {15,56}, {8,31}, {4,40}, {20,52}, {13,27}, {14,29}, {16,21}, {13,40}, {17,35}, {3,49}, {10,56}, {15,57}, {10,42}, {11,27}, {20,26}, {12,28}, {12,48}, {4,43}, {18,32}, {2,52}, {4,30}, {20,43}, {13,59}, {7,45}, {6,60}, {8,52}, {16,60}, {12,38}, {13,30}, {7,27}, {12,42}, {10,26}, {12,31}, {19,48}, {13,47}, {2,48}, {5,37}, {18,35}, {9,56}, {20,35}, {9,35}, {16,34}, {16,43}, {10,35}, {6,44}, {4,23}, {20,55}, {13,26}, {17,47}, {4,49}, {12,52}, {6,24}, {2,29}, {5,34}, {1,38}, {14,32}, {20,36}, {16,40}, {20,42}, {8,22}, {9,36}, {6,34}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {7,54}, {5,54}, {6,51}, {5,27}, {19,46}, {2,39}, {9,59}, {9,46}, {3,47}, {19,56}, {19,38}, {1,31}, {18,55}, {13,49}, {7,37}, {5,53}, {17,57}, {9,58}, {3,36}, {19,49}, {11,60}, {14,60}, {20,25}, {4,32}, {4,60}, {1,30}, {11,21}, {18,51}, {4,53}, {3,30}, {1,47}, {10,36}, {14,33}, {2,51}, {15,37}, {14,23}, {15,34}, {10,46}, {18,22}, {9,55}, {17,58}, {14,39}, {11,48}, {10,55}, {8,24}, {8,41}, {9,38}, {9,26}, {17,54}, {8,45}, {3,59}, {11,58}, {3,29}, {13,36}, {1,41}, {20,22}, {1,51}, {15,23}, {12,41}, {18,54}, {17,55}, {17,28}, {7,35}, {19,45}, {6,30}, {4,33}, {7,34}, {7,58}, {18,25}, {15,53}, {13,56}, {13,50}, {19,55}, {18,44}, {16,41}, {7,28}, {17,44}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {10,22}, {4,50}, {16,30}, {10,25}, {17,38}, {12,29}, {1,57}, {6,31}, {15,24}, {10,52}, {14,43}, {13,57}, {18,31}, {14,40}, {1,48}, {16,31}, {6,23}, {4,29}, {4,59}, {19,29}, {6,43}, {8,32}, {7,24}, {17,25}, {3,60}, {16,44}, {2,41}, {5,23}, {20,32}, {18,41}, {1,60}, {18,21}, {2,28}, {5,46}, {19,59}, {11,30}, {3,50}, {19,39}, {9,28}, {16,53}, {2,21}, {7,55}, {5,24}, {2,22}, {11,47}, {14,59}, {18,24}, {18,52}, {3,56}, {2,31}, {20,53}, {5,26}, {19,25}, {7,47}, {4,42}, {16,50}, {14,30}, {12,39}, {12,58}, {5,47}, {3,57}, {6,54}, {17,34}, {15,47}, {14,49}, {11,31}, {20,33}, {19,35}, {11,41}, {7,25}, {6,41}, {10,53}, {17,24}, {20,23}, {8,44}, {19,36}, {19,58}, {16,23}, {20,45}, {1,50}, {11,37}, {11,28}, {8,55}, {14,42}, {16,33}, {3,40}, {13,60}, {17,27}, {10,45}, {8,35}, {8,54}, {6,21}, {17,45}, {9,45}, {12,59}, {16,54}, {17,37}, {1,28}, {20,56}, {16,24}, {3,27}, {7,38}, {2,38}, {2,59}, {12,32}, {15,36}, {10,43}, {6,53}, {7,44}, {9,49}, {1,27}, {5,44}, {10,23}, {15,26}, {4,52}, {14,53}, {3,37}, {14,22}, {5,36}, {15,43}, {13,46}, {10,32}, {4,39}, {11,50}, {6,50}, {1,37}, {1,58}, {8,25}, {2,42}, {18,42}, {7,57}, {2,32}, {12,21}, {6,33}, {18,34}, {12,51}, {3,46}, {9,48}, {17,48}, {5,33}, {2,58}, {11,38}, {6,40} }; // ETB60.217 // Bipartite(20,40) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 167772160 EdgesBipt[60][216]:={ {13,21}, {7,48}, {11,40}, {8,57}, {6,59}, {9,32}, {4,28}, {2,55}, {19,57}, {5,45}, {3,26}, {13,37}, {17,42}, {11,43}, {15,54}, {2,35}, {17,33}, {4,31}, {16,58}, {8,21}, {14,31}, {15,27}, {16,55}, {2,49}, {17,56}, {8,23}, {10,39}, {1,21}, {14,45}, {19,37}, {5,32}, {4,51}, {1,35}, {7,30}, {6,56}, {14,57}, {16,21}, {13,40}, {14,44}, {2,33}, {4,38}, {10,42}, {11,27}, {19,40}, {19,31}, {4,43}, {15,32}, {2,52}, {4,30}, {7,59}, {16,49}, {8,30}, {8,37}, {5,41}, {8,52}, {12,38}, {20,49}, {4,58}, {6,39}, {7,33}, {20,29}, {13,24}, {5,60}, {15,30}, {12,23}, {18,58}, {20,39}, {9,56}, {16,34}, {6,46}, {10,35}, {4,23}, {13,26}, {12,52}, {17,36}, {2,29}, {5,34}, {18,47}, {1,26}, {13,41}, {20,36}, {18,29}, {9,36}, {1,43}, {12,49}, {5,54}, {18,36}, {6,51}, {10,59}, {16,59}, {5,28}, {18,56}, {20,41}, {14,35}, {7,32}, {1,31}, {3,31}, {12,27}, {19,47}, {3,51}, {1,39}, {13,49}, {6,27}, {7,53}, {17,57}, {9,58}, {5,35}, {15,50}, {19,23}, {19,49}, {4,21}, {8,48}, {11,60}, {20,25}, {2,44}, {19,27}, {8,50}, {14,28}, {11,21}, {12,47}, {6,36}, {1,55}, {18,51}, {16,29}, {11,36}, {3,30}, {1,47}, {2,24}, {11,23}, {3,24}, {20,51}, {10,38}, {15,34}, {10,58}, {18,22}, {14,39}, {10,55}, {4,41}, {9,38}, {8,41}, {18,38}, {7,46}, {11,58}, {11,52}, {13,36}, {1,41}, {1,51}, {1,59}, {13,53}, {9,22}, {18,54}, {3,44}, {20,31}, {19,45}, {15,60}, {11,46}, {5,52}, {2,27}, {6,30}, {7,50}, {7,58}, {15,52}, {13,56}, {8,53}, {18,44}, {16,41}, {7,28}, {13,29}, {9,25}, {15,46}, {17,30}, {10,22}, {5,40}, {10,30}, {4,50}, {12,45}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {1,57}, {6,31}, {11,32}, {9,52}, {16,26}, {12,25}, {15,40}, {13,57}, {14,37}, {10,54}, {18,31}, {20,59}, {7,39}, {4,36}, {9,44}, {7,52}, {19,29}, {8,32}, {7,24}, {9,24}, {17,22}, {17,25}, {20,48}, {19,34}, {3,60}, {16,44}, {12,43}, {17,50}, {14,55}, {11,56}, {13,44}, {6,47}, {3,48}, {10,50}, {14,51}, {3,50}, {9,28}, {3,34}, {19,43}, {16,46}, {2,22}, {11,47}, {14,59}, {18,24}, {19,60}, {8,43}, {16,38}, {18,27}, {20,28}, {3,54}, {20,53}, {2,53}, {19,25}, {2,37}, {5,29}, {12,53}, {3,28}, {12,33}, {8,33}, {12,39}, {12,58}, {2,57}, {3,57}, {15,55}, {18,49}, {15,47}, {20,33}, {14,24}, {11,41}, {17,60}, {6,26}, {15,42}, {5,21}, {17,40}, {9,60}, {6,42}, {13,33}, {14,25}, {5,49}, {7,26}, {20,45}, {2,47}, {1,23}, {16,35}, {8,55}, {5,55}, {14,42}, {10,34}, {17,53}, {3,40}, {13,60}, {8,35}, {10,45}, {15,22}, {17,45}, {9,45}, {12,59}, {16,54}, {16,39}, {17,37}, {20,56}, {16,24}, {7,38}, {12,32}, {10,43}, {6,53}, {7,44}, {8,28}, {9,40}, {19,51}, {1,27}, {5,25}, {17,23}, {10,23}, {15,26}, {1,46}, {3,37}, {14,22}, {9,42}, {13,46}, {17,43}, {6,50}, {14,48}, {20,21}, {1,37}, {2,42}, {18,42}, {4,48}, {6,33}, {2,32}, {18,34}, {11,26}, {3,46}, {9,48}, {19,54}, {5,48}, {4,56}, {4,54}, {11,38} }; // ETB60.218 // Bipartite(20,40) Valencies [16,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1006632960 EdgesBipt[60][217]:={ {13,21}, {15,33}, {18,45}, {7,48}, {6,38}, {11,40}, {10,37}, {15,38}, {14,36}, {5,56}, {19,26}, {11,25}, {3,58}, {5,59}, {8,51}, {5,45}, {12,22}, {8,26}, {15,44}, {4,31}, {8,40}, {14,56}, {2,49}, {17,56}, {10,39}, {1,21}, {6,48}, {16,37}, {20,37}, {16,28}, {5,32}, {4,51}, {15,41}, {8,31}, {20,52}, {6,58}, {14,57}, {13,27}, {13,40}, {4,38}, {11,35}, {10,56}, {10,42}, {6,29}, {11,27}, {19,40}, {2,34}, {12,28}, {12,48}, {4,24}, {16,48}, {1,52}, {18,32}, {2,52}, {4,30}, {16,49}, {12,46}, {8,46}, {20,24}, {5,41}, {17,39}, {6,60}, {12,26}, {13,30}, {17,59}, {4,58}, {19,22}, {12,42}, {6,49}, {10,26}, {7,33}, {13,47}, {1,24}, {2,48}, {15,30}, {13,55}, {9,35}, {1,36}, {19,42}, {16,34}, {13,51}, {2,56}, {6,46}, {16,43}, {15,45}, {18,39}, {18,57}, {5,50}, {12,52}, {17,36}, {2,29}, {5,34}, {18,47}, {14,32}, {2,36}, {8,49}, {13,41}, {20,36}, {8,22}, {12,49}, {11,51}, {8,42}, {5,54}, {6,51}, {3,38}, {10,59}, {5,27}, {16,59}, {18,59}, {19,46}, {14,46}, {20,41}, {9,46}, {3,47}, {19,38}, {3,31}, {3,51}, {1,39}, {17,57}, {7,53}, {9,58}, {15,50}, {19,23}, {19,49}, {4,21}, {8,48}, {11,60}, {14,28}, {12,56}, {11,21}, {4,53}, {16,29}, {3,30}, {9,51}, {1,47}, {10,57}, {16,57}, {3,24}, {10,36}, {14,23}, {10,46}, {8,60}, {9,55}, {13,25}, {14,39}, {4,41}, {9,38}, {9,26}, {17,54}, {11,58}, {1,41}, {2,23}, {1,59}, {13,53}, {9,22}, {18,54}, {20,54}, {11,44}, {13,45}, {4,47}, {3,44}, {3,25}, {7,35}, {15,60}, {2,43}, {15,58}, {5,52}, {4,33}, {11,24}, {9,31}, {10,29}, {7,58}, {18,25}, {15,53}, {1,25}, {13,50}, {20,30}, {13,31}, {5,39}, {8,53}, {19,55}, {18,44}, {7,28}, {20,44}, {17,44}, {14,52}, {17,30}, {10,22}, {20,47}, {4,50}, {7,23}, {15,35}, {12,29}, {1,57}, {6,31}, {15,24}, {16,26}, {15,40}, {14,43}, {14,37}, {1,44}, {10,54}, {19,53}, {7,49}, {6,23}, {1,32}, {19,29}, {6,43}, {17,25}, {3,60}, {4,44}, {2,54}, {17,41}, {20,32}, {3,53}, {17,50}, {7,29}, {18,30}, {2,28}, {8,29}, {9,23}, {4,55}, {3,33}, {14,26}, {1,45}, {20,50}, {3,50}, {19,33}, {9,28}, {4,27}, {19,43}, {7,55}, {20,57}, {16,46}, {2,22}, {11,47}, {14,59}, {18,24}, {18,52}, {19,60}, {11,45}, {18,27}, {12,36}, {3,45}, {2,37}, {7,31}, {8,33}, {12,39}, {5,47}, {2,57}, {17,34}, {20,27}, {15,55}, {7,51}, {11,31}, {19,35}, {11,41}, {7,22}, {6,26}, {13,35}, {5,21}, {7,42}, {17,24}, {12,34}, {9,60}, {17,21}, {6,28}, {19,58}, {16,23}, {4,35}, {13,33}, {15,21}, {1,56}, {20,34}, {8,55}, {14,42}, {10,34}, {3,40}, {13,60}, {8,35}, {17,45}, {12,59}, {18,50}, {16,54}, {17,37}, {16,39}, {20,56}, {16,52}, {3,27}, {7,38}, {12,32}, {10,43}, {6,53}, {8,28}, {7,43}, {9,40}, {11,55}, {1,27}, {5,25}, {12,54}, {10,23}, {9,43}, {14,22}, {9,42}, {5,36}, {14,48}, {20,21}, {1,37}, {2,42}, {16,32}, {2,32}, {6,33}, {18,34}, {9,48}, {15,25}, {18,37}, {5,30}, {11,38}, {10,49}, {6,40} }; // ETB60.219 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 86016 EdgesBipt[60][218]:={ {24,34}, {18,45}, {11,40}, {16,47}, {15,38}, {8,57}, {27,48}, {14,36}, {5,38}, {5,56}, {16,51}, {5,43}, {5,59}, {23,53}, {25,47}, {27,59}, {11,59}, {25,57}, {5,45}, {2,60}, {22,40}, {13,37}, {1,40}, {26,49}, {28,44}, {15,44}, {11,43}, {2,35}, {4,31}, {5,57}, {16,55}, {24,32}, {27,33}, {21,41}, {24,36}, {11,53}, {2,49}, {14,56}, {21,54}, {26,37}, {6,48}, {15,56}, {20,37}, {15,41}, {28,52}, {4,40}, {2,46}, {23,44}, {27,56}, {14,44}, {6,32}, {17,35}, {2,33}, {3,49}, {11,29}, {10,56}, {10,42}, {6,29}, {24,58}, {27,36}, {19,40}, {2,34}, {22,55}, {12,48}, {16,42}, {16,48}, {18,32}, {2,52}, {23,45}, {4,30}, {8,30}, {23,38}, {9,33}, {13,59}, {8,46}, {6,60}, {8,52}, {12,38}, {7,41}, {23,31}, {17,59}, {23,54}, {4,58}, {6,49}, {26,29}, {7,33}, {3,52}, {27,50}, {24,30}, {15,30}, {20,39}, {5,37}, {19,52}, {27,32}, {27,41}, {24,47}, {26,35}, {13,55}, {28,30}, {9,35}, {1,29}, {12,37}, {16,34}, {6,46}, {18,39}, {26,52}, {13,58}, {17,47}, {9,47}, {12,52}, {17,36}, {1,38}, {14,32}, {2,36}, {20,36}, {28,60}, {20,42}, {10,51}, {22,34}, {24,37}, {6,34}, {12,49}, {9,39}, {11,51}, {7,54}, {18,33}, {22,43}, {3,38}, {16,59}, {19,46}, {3,43}, {18,56}, {14,46}, {20,41}, {2,39}, {9,59}, {24,40}, {14,35}, {3,47}, {1,42}, {22,59}, {28,40}, {19,56}, {19,38}, {19,47}, {25,33}, {3,51}, {18,55}, {7,37}, {28,53}, {11,42}, {17,57}, {5,35}, {28,42}, {15,50}, {3,36}, {19,49}, {17,29}, {8,48}, {27,57}, {4,32}, {4,60}, {2,44}, {1,30}, {21,45}, {8,56}, {8,50}, {12,56}, {12,47}, {6,36}, {23,39}, {1,55}, {1,47}, {10,57}, {22,48}, {21,47}, {26,51}, {16,57}, {10,36}, {15,37}, {10,46}, {10,58}, {11,33}, {8,60}, {17,51}, {17,58}, {14,39}, {25,59}, {10,55}, {8,47}, {4,41}, {9,38}, {27,37}, {24,55}, {17,54}, {21,37}, {8,45}, {28,34}, {11,58}, {3,29}, {1,41}, {4,45}, {26,44}, {12,55}, {1,51}, {1,59}, {13,53}, {21,57}, {28,49}, {20,54}, {26,54}, {11,44}, {13,45}, {3,44}, {20,31}, {8,59}, {23,48}, {11,34}, {24,59}, {21,42}, {7,35}, {19,45}, {15,60}, {11,46}, {2,43}, {15,58}, {5,52}, {22,30}, {12,30}, {7,34}, {10,31}, {25,41}, {10,29}, {7,58}, {17,46}, {15,53}, {23,51}, {25,46}, {22,31}, {22,50}, {13,50}, {23,56}, {20,30}, {13,31}, {5,39}, {8,53}, {19,55}, {20,44}, {17,44}, {13,29}, {17,30}, {10,30}, {4,50}, {21,58}, {21,60}, {17,38}, {25,53}, {26,31}, {28,45}, {11,32}, {22,53}, {27,51}, {21,32}, {15,40}, {3,42}, {14,43}, {10,52}, {19,50}, {27,35}, {13,57}, {13,38}, {15,49}, {24,35}, {10,54}, {18,31}, {14,40}, {1,48}, {7,49}, {24,43}, {9,41}, {16,45}, {25,38}, {20,59}, {7,39}, {9,44}, {1,54}, {22,52}, {4,59}, {24,29}, {20,60}, {19,29}, {8,32}, {22,39}, {26,48}, {5,31}, {20,48}, {21,49}, {24,60}, {7,40}, {12,50}, {17,41}, {20,32}, {3,53}, {25,42}, {17,50}, {26,30}, {14,47}, {8,29}, {23,57}, {22,38}, {28,39}, {4,55}, {6,47}, {3,48}, {25,43}, {3,33}, {1,45}, {14,51}, {19,33}, {3,34}, {19,43}, {7,55}, {20,57}, {16,46}, {15,29}, {4,46}, {18,52}, {25,36}, {8,43}, {25,39}, {2,31}, {11,45}, {21,33}, {5,58}, {20,53}, {12,36}, {27,55}, {14,30}, {7,31}, {12,39}, {2,57}, {28,54}, {17,34}, {6,54}, {3,57}, {21,35}, {18,49}, {27,29}, {7,51}, {14,49}, {11,31}, {21,44}, {1,53}, {12,60}, {19,35}, {26,50}, {5,51}, {13,34}, {24,52}, {11,41}, {9,50}, {26,32}, {22,51}, {7,42}, {2,50}, {6,41}, {23,49}, {10,53}, {21,29}, {9,60}, {8,44}, {19,58}, {4,35}, {13,33}, {18,43}, {23,46}, {18,53}, {1,56}, {13,54}, {20,34}, {23,33}, {16,35}, {14,42}, {16,33}, {13,60}, {21,56}, {9,45}, {14,41}, {12,57}, {16,54}, {22,46}, {16,39}, {26,34}, {16,52}, {28,38}, {7,38}, {5,42}, {23,50}, {15,36}, {15,31}, {6,55}, {6,53}, {18,40}, {9,40}, {19,51}, {24,42}, {26,40}, {27,43}, {18,60}, {5,44}, {12,54}, {22,36}, {9,43}, {27,31}, {3,37}, {23,41}, {25,55}, {28,58}, {9,34}, {15,43}, {10,32}, {25,60}, {4,39}, {12,35}, {7,36}, {13,52}, {25,58}, {6,50}, {14,48}, {1,37}, {18,42}, {16,32}, {26,45}, {2,32}, {6,33}, {18,48}, {25,56}, {9,48}, {2,58}, {18,37}, {28,47}, {4,56}, {4,54}, {5,30}, {10,49}, {28,46}, {9,37}, {6,40} }; // ETB60.220 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1344 EdgesBipt[60][219]:={ {24,34}, {18,45}, {7,48}, {11,40}, {10,37}, {15,38}, {8,57}, {14,36}, {11,49}, {9,32}, {5,38}, {23,29}, {5,56}, {16,51}, {3,58}, {5,59}, {25,47}, {11,59}, {5,45}, {22,40}, {17,42}, {15,44}, {11,43}, {15,54}, {14,50}, {8,40}, {16,58}, {5,57}, {26,43}, {3,35}, {20,46}, {27,33}, {21,41}, {24,36}, {14,56}, {2,49}, {26,37}, {14,45}, {16,37}, {20,37}, {1,35}, {7,30}, {15,41}, {28,52}, {8,31}, {4,37}, {20,52}, {24,48}, {10,48}, {23,44}, {13,40}, {27,54}, {2,33}, {6,32}, {3,49}, {21,53}, {11,29}, {15,57}, {6,29}, {19,40}, {22,55}, {19,31}, {22,37}, {4,43}, {16,48}, {18,32}, {2,52}, {23,45}, {4,30}, {16,49}, {23,38}, {12,46}, {9,33}, {13,59}, {28,50}, {8,46}, {28,31}, {8,37}, {5,41}, {17,39}, {16,60}, {21,38}, {20,49}, {17,59}, {23,54}, {6,49}, {22,42}, {7,33}, {12,31}, {3,52}, {19,48}, {13,47}, {5,60}, {24,30}, {2,48}, {15,30}, {20,39}, {27,41}, {24,47}, {21,50}, {26,35}, {18,35}, {9,56}, {24,31}, {23,43}, {28,30}, {1,36}, {1,29}, {23,42}, {12,37}, {2,56}, {6,46}, {23,58}, {16,43}, {10,35}, {13,58}, {27,53}, {17,47}, {9,47}, {12,52}, {1,38}, {18,46}, {8,49}, {20,36}, {25,52}, {20,42}, {10,51}, {24,37}, {18,29}, {22,58}, {9,36}, {6,34}, {1,43}, {9,39}, {7,54}, {5,54}, {18,33}, {18,36}, {6,51}, {22,43}, {3,38}, {16,59}, {18,56}, {24,41}, {20,41}, {9,46}, {9,59}, {24,40}, {26,42}, {14,35}, {27,39}, {22,59}, {28,40}, {7,32}, {7,60}, {19,56}, {19,38}, {1,31}, {3,31}, {19,47}, {25,33}, {3,51}, {27,60}, {1,39}, {13,49}, {11,42}, {5,53}, {17,57}, {28,42}, {15,50}, {25,29}, {11,60}, {14,54}, {26,41}, {4,32}, {2,44}, {1,30}, {21,45}, {8,56}, {8,50}, {12,56}, {12,47}, {6,36}, {23,39}, {1,55}, {24,53}, {4,53}, {16,29}, {11,36}, {3,55}, {10,57}, {14,33}, {20,51}, {15,34}, {10,58}, {11,33}, {22,56}, {17,51}, {17,58}, {14,39}, {21,31}, {25,59}, {11,48}, {19,30}, {10,55}, {8,41}, {9,38}, {27,37}, {24,55}, {28,48}, {8,45}, {17,31}, {26,44}, {1,51}, {13,53}, {22,29}, {12,41}, {18,54}, {20,54}, {11,44}, {4,47}, {8,59}, {25,49}, {11,34}, {17,55}, {24,59}, {7,35}, {16,56}, {5,52}, {22,30}, {27,34}, {12,30}, {7,34}, {4,57}, {9,31}, {10,29}, {7,58}, {15,52}, {25,46}, {23,56}, {23,35}, {13,31}, {9,30}, {5,39}, {8,53}, {19,55}, {18,44}, {13,29}, {15,46}, {4,50}, {4,34}, {15,35}, {17,38}, {25,53}, {1,57}, {26,31}, {28,45}, {6,31}, {21,32}, {11,54}, {15,40}, {3,42}, {14,43}, {10,52}, {19,50}, {22,57}, {27,35}, {13,57}, {14,37}, {13,38}, {10,54}, {19,53}, {27,58}, {19,44}, {9,41}, {16,31}, {16,45}, {25,38}, {20,59}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {25,50}, {4,59}, {21,39}, {7,52}, {20,60}, {19,29}, {28,32}, {6,43}, {6,37}, {24,51}, {26,48}, {3,60}, {4,44}, {2,54}, {21,49}, {24,60}, {2,41}, {12,50}, {17,41}, {20,32}, {17,50}, {10,40}, {14,55}, {1,60}, {27,46}, {26,30}, {7,29}, {18,30}, {23,57}, {21,52}, {8,36}, {13,44}, {6,47}, {3,33}, {28,29}, {13,32}, {1,45}, {10,50}, {23,32}, {14,51}, {27,49}, {19,33}, {16,53}, {19,43}, {20,57}, {27,47}, {26,60}, {18,52}, {25,36}, {8,43}, {25,39}, {3,56}, {11,45}, {21,33}, {5,58}, {3,45}, {7,47}, {2,37}, {12,53}, {27,55}, {14,30}, {21,34}, {12,39}, {12,58}, {17,34}, {21,35}, {28,36}, {15,55}, {15,47}, {7,51}, {21,44}, {1,53}, {19,35}, {13,34}, {24,52}, {26,32}, {15,42}, {1,34}, {22,51}, {7,42}, {2,50}, {23,49}, {28,56}, {10,53}, {9,60}, {8,44}, {26,57}, {19,58}, {6,42}, {27,44}, {21,48}, {23,46}, {18,53}, {28,57}, {20,34}, {20,45}, {2,47}, {8,55}, {5,55}, {14,42}, {10,34}, {16,33}, {3,40}, {13,60}, {10,45}, {2,40}, {14,41}, {12,57}, {22,46}, {16,39}, {26,34}, {28,38}, {7,38}, {2,59}, {23,50}, {12,32}, {15,36}, {21,36}, {28,59}, {18,40}, {11,55}, {26,40}, {27,43}, {18,60}, {5,44}, {22,54}, {25,54}, {9,43}, {22,47}, {1,46}, {9,42}, {25,55}, {24,33}, {13,46}, {4,39}, {12,35}, {6,35}, {28,51}, {22,60}, {13,52}, {17,43}, {6,50}, {26,58}, {14,48}, {2,42}, {16,32}, {4,48}, {26,45}, {6,33}, {2,32}, {12,51}, {17,49}, {25,56}, {3,46}, {5,48}, {17,48}, {2,58}, {18,37}, {5,30}, {4,54}, {11,38}, {10,49}, {25,51}, {6,40} }; // ETB60.221 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 10752 EdgesBipt[60][220]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {13,40}, {6,36}, {14,48}, {20,33}, {24,59}, {19,41}, {25,42}, {26,33}, {27,55}, {20,50}, {7,57}, {3,49}, {4,57}, {5,32}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {18,51}, {11,52}, {11,34}, {15,54}, {10,54}, {2,39}, {7,53}, {15,50}, {1,32}, {19,51}, {19,37}, {9,49}, {10,29}, {15,33}, {16,57}, {12,32}, {5,56}, {23,54}, {3,54}, {14,54}, {10,55}, {25,58}, {2,52}, {23,45}, {4,52}, {6,34}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {19,38}, {8,44}, {13,51}, {4,34}, {26,46}, {13,29}, {26,47}, {20,29}, {10,42}, {28,45}, {9,41}, {17,43}, {17,45}, {11,35}, {11,37}, {18,29}, {19,30}, {22,29}, {26,57}, {5,55}, {23,49}, {12,48}, {19,54}, {1,55}, {28,42}, {15,51}, {28,32}, {18,54}, {7,59}, {9,50}, {14,43}, {25,45}, {28,57}, {1,31}, {2,41}, {6,58}, {5,50}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {20,58}, {8,39}, {7,34}, {15,43}, {27,56}, {2,36}, {11,44}, {13,33}, {26,44}, {18,35}, {26,32}, {3,51}, {18,42}, {5,46}, {16,42}, {15,34}, {24,30}, {8,58}, {8,35}, {18,59}, {11,38}, {24,44}, {9,31}, {5,33}, {4,39}, {27,41}, {6,57}, {12,56}, {25,60}, {22,47}, {8,47}, {24,43}, {2,45}, {19,35}, {23,52}, {1,42}, {10,48}, {22,41}, {28,39}, {20,60}, {14,53}, {5,38}, {22,60}, {1,37}, {14,50}, {8,60}, {6,52}, {21,37}, {25,38}, {26,37}, {1,29}, {12,41}, {6,49}, {4,56}, {2,47}, {24,58}, {26,49}, {20,49}, {20,52}, {2,56}, {20,40}, {21,51}, {16,55}, {11,58}, {8,30}, {14,32}, {27,38}, {17,53}, {22,46}, {9,52}, {23,46}, {4,33}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {19,32}, {21,45}, {18,48}, {24,50}, {11,50}, {6,43}, {12,47}, {21,56}, {12,49}, {2,51}, {6,37}, {28,40}, {1,35}, {23,32}, {2,58}, {7,36}, {28,60}, {10,46}, {14,37}, {20,31}, {8,33}, {11,45}, {9,44}, {15,60}, {24,53}, {14,59}, {22,59}, {19,57}, {13,35}, {16,37}, {17,36}, {18,44}, {9,35}, {15,36}, {10,36}, {1,60}, {27,59}, {8,41}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {27,48}, {9,59}, {24,34}, {15,30}, {27,54}, {7,40}, {17,37}, {10,37}, {25,36}, {24,51}, {7,55}, {23,48}, {21,43}, {3,53}, {15,29}, {4,29}, {9,60}, {24,57}, {1,30}, {13,36}, {1,59}, {5,48}, {25,59}, {9,40}, {7,46}, {6,47}, {11,57}, {11,33}, {1,34}, {22,40}, {4,47}, {24,31}, {5,30}, {10,53}, {19,43}, {5,40}, {3,46}, {16,31}, {22,36}, {22,30}, {28,31}, {19,56}, {8,29}, {17,31}, {23,41}, {8,51}, {25,40}, {19,36}, {3,60}, {16,41}, {16,52}, {2,33}, {9,47}, {4,32}, {19,39}, {12,59}, {21,53}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {18,39}, {3,38}, {25,48}, {2,43}, {14,34}, {23,60}, {26,41}, {6,51}, {3,59}, {8,42}, {15,38}, {7,38}, {14,30}, {22,39}, {7,52}, {13,31}, {12,53}, {5,31}, {10,38}, {3,30}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {25,39}, {28,34}, {2,53}, {24,56}, {24,29}, {19,42}, {27,58}, {18,46}, {18,56}, {16,56}, {10,30}, {17,58}, {6,42}, {7,32}, {13,38}, {22,54}, {13,57}, {20,34}, {25,34}, {27,44}, {19,59}, {11,46}, {4,31}, {11,54}, {3,41}, {10,33}, {17,49}, {10,39}, {28,51}, {22,50}, {27,52}, {15,49}, {16,39}, {1,38}, {25,43}, {3,44}, {14,44}, {18,40}, {17,57}, {26,30}, {20,48}, {14,39}, {9,45}, {13,52}, {7,56}, {13,58}, {23,35}, {19,45}, {16,44}, {4,50}, {2,50}, {17,41}, {21,52}, {8,43}, {2,48}, {16,58}, {10,56}, {14,60}, {9,51}, {27,37}, {12,30}, {14,55}, {28,46}, {24,38}, {26,56}, {27,49}, {18,47}, {12,40}, {7,45}, {15,32}, {25,35}, {13,56}, {8,48}, {13,42}, {9,57}, {17,60}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {9,32}, {16,53}, {3,58}, {18,32}, {24,40}, {21,32}, {17,55}, {20,47}, {22,58}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {28,36}, {23,37}, {23,42}, {2,54}, {21,49}, {3,40}, {20,46}, {27,43}, {16,59}, {12,36}, {13,49}, {26,51}, {28,53}, {28,30}, {27,35}, {1,57}, {23,47}, {20,55}, {27,50}, {23,36}, {10,58}, {17,30}, {25,55}, {12,31}, {16,47}, {27,29}, {4,37}, {22,57}, {28,33}, {12,29}, {4,35}, {28,47}, {17,33}, {20,53}, {21,38}, {6,59}, {12,55}, {11,60}, {4,36}, {6,29} }; // ETB60.222 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13642508295198269772713164800000000 EdgesBipt[60][221]:={ {24,34}, {18,45}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {15,59}, {27,48}, {9,32}, {26,46}, {5,56}, {16,51}, {25,37}, {27,59}, {11,59}, {8,51}, {25,57}, {5,45}, {1,49}, {25,40}, {13,37}, {1,40}, {14,38}, {26,49}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {16,58}, {5,57}, {3,35}, {20,46}, {10,33}, {16,55}, {24,54}, {21,41}, {2,49}, {17,56}, {26,37}, {14,45}, {3,39}, {15,56}, {20,58}, {5,32}, {4,51}, {8,31}, {2,46}, {6,58}, {14,57}, {14,29}, {23,44}, {27,56}, {13,40}, {2,33}, {4,38}, {21,53}, {11,35}, {10,42}, {6,29}, {24,58}, {27,36}, {19,40}, {20,38}, {2,34}, {19,31}, {22,37}, {26,38}, {4,43}, {21,40}, {16,42}, {1,52}, {15,32}, {4,30}, {7,59}, {8,30}, {12,46}, {9,33}, {20,43}, {28,50}, {8,46}, {28,31}, {9,57}, {24,46}, {5,41}, {12,38}, {23,31}, {4,58}, {12,42}, {23,36}, {11,39}, {6,49}, {26,29}, {22,42}, {12,31}, {3,52}, {19,48}, {5,60}, {24,30}, {18,58}, {20,39}, {5,37}, {19,52}, {27,32}, {24,50}, {24,47}, {9,56}, {24,31}, {20,35}, {23,43}, {28,30}, {1,36}, {1,29}, {16,34}, {6,46}, {16,43}, {7,56}, {28,43}, {8,38}, {18,57}, {20,55}, {17,36}, {2,29}, {18,46}, {13,41}, {25,52}, {20,42}, {22,34}, {18,29}, {22,58}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {18,33}, {23,60}, {16,59}, {3,43}, {14,46}, {26,42}, {3,47}, {27,39}, {7,32}, {27,40}, {7,60}, {19,56}, {3,31}, {19,47}, {25,33}, {3,51}, {27,60}, {13,49}, {2,30}, {5,53}, {17,57}, {14,34}, {28,42}, {3,36}, {25,29}, {17,29}, {11,60}, {14,54}, {26,41}, {25,44}, {22,49}, {21,45}, {8,50}, {12,47}, {23,39}, {23,40}, {11,36}, {13,48}, {3,55}, {27,52}, {10,57}, {14,33}, {20,51}, {10,38}, {10,46}, {10,58}, {11,48}, {8,47}, {24,55}, {18,38}, {21,37}, {3,59}, {28,34}, {11,52}, {13,36}, {1,41}, {12,55}, {13,53}, {21,57}, {22,29}, {25,32}, {18,54}, {20,54}, {26,54}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {24,39}, {8,59}, {23,48}, {25,49}, {24,59}, {7,35}, {15,60}, {5,52}, {22,30}, {12,30}, {6,30}, {25,41}, {10,29}, {15,52}, {23,51}, {13,56}, {22,50}, {23,56}, {23,35}, {20,30}, {24,38}, {19,55}, {3,32}, {22,45}, {6,45}, {17,44}, {13,29}, {8,34}, {10,30}, {5,40}, {20,47}, {4,50}, {23,47}, {25,45}, {16,30}, {21,60}, {4,34}, {15,35}, {25,53}, {1,57}, {11,32}, {17,52}, {22,53}, {9,52}, {27,51}, {21,32}, {15,40}, {22,57}, {27,35}, {13,57}, {14,37}, {1,44}, {24,35}, {10,54}, {19,44}, {1,48}, {24,43}, {9,41}, {16,31}, {20,59}, {23,59}, {7,39}, {15,39}, {22,41}, {1,32}, {9,44}, {4,59}, {7,52}, {6,37}, {24,51}, {6,57}, {26,53}, {3,60}, {2,54}, {21,49}, {7,40}, {2,41}, {17,41}, {12,50}, {12,43}, {18,41}, {1,60}, {26,30}, {11,56}, {18,30}, {21,52}, {22,38}, {28,39}, {13,44}, {14,58}, {2,45}, {23,52}, {4,55}, {3,48}, {13,32}, {1,45}, {10,50}, {20,50}, {23,32}, {19,59}, {19,39}, {19,43}, {7,55}, {16,46}, {11,47}, {27,47}, {4,46}, {19,60}, {25,36}, {8,43}, {3,56}, {16,38}, {1,33}, {21,33}, {8,58}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {27,55}, {10,41}, {23,55}, {14,30}, {7,31}, {12,39}, {12,58}, {2,57}, {28,54}, {6,54}, {15,55}, {18,49}, {15,47}, {14,49}, {7,51}, {22,33}, {11,31}, {21,44}, {15,48}, {1,53}, {28,55}, {19,35}, {26,50}, {17,60}, {2,50}, {6,41}, {10,53}, {21,29}, {17,40}, {12,34}, {9,60}, {19,36}, {26,57}, {28,35}, {6,42}, {27,44}, {4,35}, {21,48}, {19,32}, {13,33}, {15,51}, {18,53}, {5,49}, {1,56}, {20,34}, {16,35}, {8,55}, {14,42}, {10,34}, {17,53}, {3,40}, {13,60}, {8,35}, {10,45}, {8,54}, {21,56}, {17,45}, {9,45}, {12,59}, {14,41}, {18,50}, {16,54}, {22,46}, {17,37}, {16,39}, {26,34}, {28,38}, {2,38}, {15,36}, {21,36}, {15,31}, {6,53}, {28,59}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {19,51}, {24,42}, {27,43}, {5,44}, {22,54}, {12,54}, {9,53}, {26,33}, {14,53}, {27,31}, {8,39}, {28,58}, {5,36}, {15,43}, {25,60}, {4,39}, {25,48}, {12,35}, {7,36}, {17,32}, {28,51}, {13,52}, {6,50}, {26,58}, {1,37}, {2,42}, {18,42}, {26,45}, {6,33}, {18,34}, {12,51}, {17,49}, {25,56}, {9,48}, {5,48}, {17,48}, {5,33}, {2,58}, {18,37}, {28,47}, {4,54}, {10,49}, {28,46}, {9,37} }; // ETB60.223 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2423868985385680896 EdgesBipt[60][222]:={ {15,33}, {6,52}, {18,45}, {7,48}, {6,38}, {10,37}, {16,47}, {15,38}, {27,48}, {14,36}, {6,59}, {11,49}, {9,32}, {26,46}, {5,56}, {16,51}, {25,37}, {2,55}, {3,58}, {25,47}, {27,59}, {11,59}, {8,51}, {25,57}, {5,45}, {2,60}, {1,49}, {13,37}, {17,42}, {28,44}, {11,43}, {15,54}, {14,50}, {2,35}, {3,35}, {20,46}, {21,30}, {11,57}, {14,31}, {16,55}, {24,54}, {21,41}, {24,36}, {11,53}, {21,54}, {10,39}, {3,39}, {19,37}, {5,32}, {7,30}, {15,41}, {28,52}, {4,37}, {4,40}, {20,52}, {13,43}, {14,57}, {27,56}, {13,40}, {14,44}, {27,54}, {17,35}, {11,35}, {11,29}, {15,57}, {10,47}, {19,40}, {20,38}, {19,31}, {22,37}, {26,38}, {12,48}, {21,40}, {18,32}, {16,48}, {2,52}, {12,46}, {9,33}, {20,43}, {13,59}, {28,50}, {28,31}, {8,37}, {9,57}, {24,46}, {17,39}, {6,60}, {8,52}, {16,60}, {21,38}, {12,38}, {7,41}, {20,49}, {13,30}, {17,59}, {12,42}, {11,39}, {6,49}, {22,42}, {7,33}, {12,40}, {19,48}, {24,30}, {2,48}, {15,30}, {5,37}, {27,32}, {24,47}, {9,56}, {24,31}, {24,45}, {20,35}, {23,43}, {9,35}, {1,29}, {19,42}, {23,42}, {13,51}, {2,56}, {6,46}, {23,58}, {16,43}, {7,56}, {15,45}, {6,44}, {26,52}, {18,57}, {27,53}, {17,47}, {5,50}, {12,52}, {4,49}, {5,34}, {1,38}, {2,36}, {20,36}, {16,40}, {28,60}, {26,36}, {22,34}, {24,37}, {27,30}, {18,29}, {22,58}, {11,51}, {8,42}, {7,54}, {18,33}, {18,36}, {6,51}, {22,43}, {3,38}, {16,59}, {3,43}, {18,56}, {21,55}, {20,41}, {27,45}, {2,39}, {9,59}, {26,42}, {3,47}, {1,42}, {22,59}, {7,32}, {27,40}, {19,56}, {3,31}, {19,47}, {25,33}, {3,51}, {5,53}, {9,58}, {14,34}, {28,42}, {15,50}, {25,29}, {14,60}, {4,32}, {4,60}, {2,44}, {1,30}, {8,50}, {12,56}, {6,36}, {23,40}, {24,53}, {4,53}, {3,30}, {3,55}, {13,48}, {9,51}, {21,47}, {10,36}, {14,33}, {2,51}, {15,37}, {20,51}, {10,38}, {15,34}, {10,46}, {11,33}, {8,60}, {17,51}, {17,58}, {14,39}, {21,31}, {25,59}, {10,55}, {4,41}, {27,37}, {24,55}, {17,54}, {7,46}, {8,45}, {3,59}, {28,34}, {17,31}, {1,41}, {4,45}, {26,44}, {13,53}, {21,57}, {22,29}, {28,49}, {20,54}, {26,54}, {13,45}, {24,39}, {8,59}, {23,48}, {25,49}, {17,55}, {19,45}, {16,56}, {2,43}, {15,58}, {12,30}, {6,30}, {4,33}, {22,44}, {10,31}, {4,57}, {25,41}, {10,44}, {10,29}, {17,46}, {15,53}, {23,51}, {13,56}, {22,50}, {23,56}, {23,35}, {20,30}, {5,39}, {24,38}, {8,53}, {19,55}, {18,44}, {22,45}, {20,44}, {25,31}, {13,29}, {14,52}, {8,34}, {15,46}, {17,30}, {10,30}, {5,40}, {25,45}, {17,38}, {25,53}, {1,57}, {22,53}, {27,51}, {21,32}, {10,52}, {3,42}, {19,50}, {27,35}, {13,38}, {15,49}, {10,54}, {19,53}, {7,49}, {9,41}, {16,31}, {20,59}, {23,59}, {7,39}, {23,34}, {4,36}, {4,29}, {1,54}, {22,52}, {24,29}, {21,39}, {20,60}, {19,29}, {6,43}, {6,57}, {26,48}, {5,31}, {19,34}, {16,44}, {4,44}, {21,49}, {24,60}, {7,40}, {12,50}, {17,50}, {18,41}, {14,55}, {27,46}, {26,30}, {14,47}, {8,29}, {23,57}, {28,39}, {8,36}, {14,58}, {21,46}, {25,43}, {16,36}, {13,32}, {1,45}, {23,32}, {3,50}, {19,39}, {3,34}, {7,55}, {20,57}, {15,29}, {11,47}, {26,60}, {18,52}, {8,43}, {25,39}, {2,31}, {11,45}, {1,33}, {21,33}, {5,58}, {3,54}, {8,58}, {12,36}, {12,44}, {7,47}, {5,29}, {7,31}, {5,47}, {12,58}, {17,34}, {6,54}, {28,33}, {28,36}, {18,49}, {27,29}, {14,49}, {11,31}, {20,33}, {1,53}, {28,55}, {12,60}, {26,50}, {24,52}, {11,41}, {9,50}, {26,32}, {15,42}, {1,34}, {22,51}, {13,35}, {6,41}, {23,49}, {10,53}, {24,44}, {12,34}, {8,44}, {19,58}, {21,48}, {19,32}, {18,53}, {28,57}, {13,54}, {1,50}, {10,60}, {11,37}, {23,33}, {2,47}, {16,35}, {5,55}, {14,42}, {8,35}, {10,45}, {2,40}, {21,56}, {14,41}, {16,39}, {26,34}, {16,52}, {7,38}, {5,42}, {2,59}, {23,50}, {12,32}, {25,35}, {22,35}, {9,49}, {18,40}, {9,40}, {11,55}, {26,40}, {27,43}, {18,60}, {12,54}, {4,52}, {22,36}, {9,43}, {1,46}, {9,42}, {23,41}, {25,55}, {28,58}, {9,34}, {13,46}, {6,35}, {22,60}, {28,41}, {17,43}, {26,58}, {1,37}, {1,58}, {26,56}, {16,32}, {4,48}, {7,57}, {6,33}, {2,32}, {18,48}, {3,46}, {9,48}, {5,48}, {18,37}, {28,47}, {4,56}, {25,51}, {27,38} }; // ETB60.224 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36985305563136 EdgesBipt[60][223]:={ {26,54}, {13,40}, {24,33}, {6,36}, {14,48}, {19,41}, {25,42}, {14,29}, {7,47}, {28,56}, {3,49}, {4,57}, {22,49}, {8,37}, {22,55}, {6,60}, {17,54}, {2,57}, {3,47}, {27,53}, {3,55}, {15,54}, {10,54}, {15,50}, {1,32}, {19,51}, {28,54}, {23,56}, {18,49}, {9,49}, {19,58}, {12,52}, {16,57}, {22,51}, {12,32}, {2,30}, {28,29}, {23,50}, {23,54}, {14,54}, {21,35}, {25,58}, {2,38}, {2,52}, {19,49}, {6,34}, {11,39}, {24,39}, {16,33}, {25,49}, {4,34}, {26,46}, {13,48}, {26,47}, {18,37}, {15,45}, {20,29}, {10,42}, {14,40}, {28,45}, {9,41}, {23,58}, {23,34}, {11,35}, {3,32}, {11,31}, {11,37}, {18,29}, {11,29}, {1,53}, {28,43}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {23,49}, {12,48}, {15,59}, {10,51}, {15,51}, {5,53}, {28,32}, {4,59}, {25,41}, {7,59}, {2,37}, {6,31}, {8,40}, {2,41}, {6,58}, {11,48}, {5,50}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {4,41}, {18,53}, {13,54}, {7,51}, {7,34}, {15,43}, {2,36}, {12,38}, {26,44}, {18,31}, {5,46}, {18,55}, {24,30}, {12,44}, {15,34}, {8,58}, {2,60}, {1,50}, {20,39}, {27,41}, {12,56}, {25,60}, {22,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {19,35}, {26,60}, {1,42}, {8,49}, {19,31}, {22,41}, {4,45}, {11,56}, {20,43}, {20,60}, {24,54}, {12,39}, {21,36}, {7,31}, {14,53}, {26,43}, {5,38}, {1,37}, {6,52}, {27,51}, {1,29}, {5,42}, {21,59}, {11,32}, {3,31}, {10,43}, {27,60}, {5,29}, {27,36}, {20,52}, {16,35}, {21,51}, {21,40}, {25,33}, {14,32}, {26,52}, {25,47}, {24,49}, {22,46}, {24,55}, {8,34}, {23,46}, {4,33}, {21,34}, {1,44}, {22,38}, {8,56}, {16,60}, {27,33}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {9,54}, {26,31}, {12,47}, {21,56}, {11,53}, {6,37}, {28,40}, {26,35}, {23,32}, {10,46}, {22,33}, {14,37}, {7,43}, {20,31}, {8,33}, {11,45}, {13,50}, {24,53}, {22,59}, {21,50}, {19,57}, {13,32}, {27,45}, {17,36}, {26,39}, {9,35}, {10,36}, {1,60}, {27,59}, {8,41}, {28,37}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {9,59}, {15,30}, {23,38}, {16,36}, {12,54}, {6,45}, {7,40}, {6,44}, {25,36}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {4,42}, {23,48}, {21,43}, {15,29}, {4,29}, {24,57}, {5,34}, {15,46}, {1,52}, {26,59}, {4,49}, {9,40}, {8,45}, {6,47}, {20,37}, {5,58}, {1,34}, {24,37}, {24,31}, {5,30}, {2,49}, {19,43}, {14,46}, {9,30}, {22,30}, {11,59}, {6,50}, {1,40}, {28,35}, {8,29}, {1,48}, {23,41}, {3,60}, {16,41}, {16,52}, {17,44}, {3,57}, {28,59}, {2,33}, {24,47}, {10,35}, {10,59}, {6,55}, {15,58}, {19,39}, {15,35}, {19,33}, {18,39}, {9,48}, {19,55}, {16,40}, {9,33}, {20,35}, {8,42}, {15,38}, {14,30}, {22,39}, {8,32}, {23,40}, {13,31}, {5,31}, {4,51}, {10,38}, {10,60}, {18,33}, {17,38}, {1,56}, {10,34}, {25,39}, {7,48}, {14,52}, {13,39}, {11,43}, {3,52}, {28,38}, {20,51}, {2,53}, {28,48}, {19,42}, {24,29}, {19,50}, {17,34}, {13,55}, {24,46}, {18,56}, {1,45}, {16,56}, {10,30}, {17,58}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {25,34}, {27,44}, {17,52}, {19,59}, {9,56}, {3,41}, {17,49}, {19,47}, {23,57}, {13,34}, {14,56}, {28,51}, {26,38}, {27,52}, {3,56}, {5,37}, {3,44}, {2,29}, {14,44}, {25,50}, {12,60}, {20,59}, {1,36}, {18,40}, {17,57}, {26,30}, {13,30}, {21,58}, {18,45}, {2,46}, {3,39}, {7,56}, {13,58}, {11,55}, {4,50}, {16,44}, {17,41}, {21,52}, {7,39}, {14,60}, {9,51}, {9,38}, {10,44}, {27,37}, {25,57}, {12,30}, {28,46}, {24,38}, {27,49}, {18,47}, {12,40}, {14,38}, {18,57}, {7,58}, {13,56}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {14,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {25,44}, {18,32}, {21,32}, {23,30}, {22,31}, {20,47}, {22,35}, {7,50}, {5,39}, {19,34}, {13,47}, {23,42}, {15,53}, {2,54}, {3,40}, {16,59}, {27,43}, {12,36}, {28,53}, {26,51}, {3,33}, {28,30}, {27,35}, {20,55}, {18,41}, {22,43}, {16,49}, {4,53}, {10,58}, {17,30}, {25,55}, {24,41}, {12,31}, {20,36}, {20,45}, {26,55}, {27,29}, {21,60}, {4,37}, {22,57}, {4,35}, {17,33}, {20,53}, {8,50}, {12,55}, {8,53}, {12,46}, {1,58}, {5,54}, {6,29} }; // ETB60.225 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2886218022912 EdgesBipt[60][224]:={ {24,34}, {7,48}, {6,38}, {10,37}, {15,38}, {14,36}, {11,49}, {23,29}, {5,56}, {16,51}, {25,37}, {27,59}, {11,59}, {5,45}, {2,60}, {13,37}, {1,40}, {14,38}, {26,49}, {28,44}, {15,44}, {11,43}, {15,54}, {2,35}, {17,33}, {4,31}, {16,58}, {26,43}, {3,35}, {21,30}, {24,32}, {24,54}, {24,36}, {11,53}, {14,56}, {26,37}, {6,48}, {3,39}, {16,37}, {15,56}, {20,58}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {28,52}, {4,40}, {2,46}, {13,43}, {24,48}, {6,58}, {14,57}, {10,48}, {27,56}, {13,40}, {14,44}, {6,32}, {17,35}, {24,56}, {3,49}, {21,53}, {11,29}, {10,56}, {15,57}, {10,42}, {24,58}, {27,36}, {10,47}, {19,40}, {20,38}, {22,55}, {19,31}, {26,38}, {16,42}, {16,48}, {23,45}, {4,30}, {8,30}, {23,38}, {9,33}, {13,59}, {7,45}, {8,46}, {9,57}, {17,39}, {6,60}, {8,52}, {16,60}, {12,38}, {20,49}, {23,31}, {13,30}, {17,59}, {23,54}, {4,58}, {12,42}, {6,39}, {23,36}, {6,49}, {22,42}, {7,33}, {19,48}, {27,50}, {5,60}, {2,48}, {18,58}, {20,39}, {19,52}, {27,41}, {24,50}, {24,47}, {21,50}, {26,35}, {18,35}, {24,31}, {20,35}, {1,29}, {12,37}, {2,56}, {16,43}, {15,45}, {6,44}, {18,39}, {28,43}, {18,57}, {20,55}, {27,53}, {9,47}, {18,47}, {1,38}, {18,46}, {13,41}, {8,49}, {25,52}, {16,40}, {28,60}, {20,42}, {22,34}, {24,37}, {27,30}, {22,58}, {9,36}, {9,29}, {9,39}, {12,49}, {8,42}, {6,51}, {22,43}, {16,59}, {19,46}, {3,43}, {18,56}, {27,45}, {24,40}, {26,42}, {22,59}, {28,40}, {7,32}, {27,40}, {19,56}, {1,31}, {19,47}, {25,33}, {3,51}, {18,55}, {7,37}, {7,53}, {2,30}, {17,57}, {28,42}, {25,29}, {17,29}, {8,48}, {11,60}, {14,54}, {26,41}, {27,57}, {14,60}, {25,44}, {22,49}, {2,44}, {21,45}, {8,50}, {23,39}, {18,51}, {24,53}, {11,36}, {3,30}, {3,55}, {27,52}, {1,47}, {22,48}, {21,47}, {26,51}, {10,36}, {2,51}, {15,37}, {20,51}, {10,38}, {10,58}, {11,33}, {9,55}, {17,51}, {14,39}, {21,31}, {25,59}, {11,48}, {19,30}, {4,41}, {9,38}, {27,37}, {21,37}, {7,46}, {3,59}, {3,29}, {11,52}, {13,36}, {1,41}, {1,51}, {13,53}, {25,32}, {9,54}, {12,41}, {20,54}, {26,54}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {8,59}, {25,49}, {17,55}, {7,35}, {19,45}, {15,60}, {16,56}, {2,43}, {5,52}, {22,30}, {27,34}, {7,50}, {7,34}, {10,31}, {9,31}, {4,57}, {17,46}, {15,53}, {13,56}, {22,50}, {13,50}, {5,39}, {24,38}, {19,55}, {20,44}, {17,44}, {13,29}, {14,52}, {8,34}, {17,30}, {5,40}, {20,47}, {4,50}, {23,47}, {25,45}, {16,30}, {4,34}, {15,35}, {25,53}, {1,57}, {6,31}, {11,32}, {9,52}, {21,32}, {11,54}, {15,40}, {14,43}, {10,52}, {13,57}, {1,44}, {10,54}, {26,59}, {18,31}, {19,44}, {14,40}, {7,49}, {9,41}, {25,38}, {3,41}, {23,34}, {1,54}, {22,52}, {20,60}, {19,29}, {8,32}, {22,39}, {5,31}, {20,48}, {26,53}, {3,60}, {16,44}, {21,49}, {12,50}, {17,41}, {12,43}, {20,32}, {18,41}, {10,40}, {14,55}, {1,60}, {27,46}, {7,29}, {18,30}, {23,57}, {28,39}, {8,36}, {14,58}, {21,46}, {23,52}, {5,46}, {4,55}, {6,47}, {25,43}, {3,33}, {1,45}, {10,50}, {19,39}, {16,53}, {16,46}, {15,29}, {14,59}, {4,46}, {19,60}, {25,36}, {8,43}, {11,45}, {21,33}, {8,58}, {3,45}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {12,53}, {23,55}, {21,34}, {7,31}, {12,33}, {8,33}, {5,47}, {12,58}, {28,54}, {3,57}, {6,54}, {21,35}, {28,36}, {27,29}, {15,47}, {7,51}, {22,33}, {20,33}, {1,53}, {28,55}, {26,50}, {13,34}, {24,52}, {17,60}, {9,50}, {23,49}, {28,56}, {10,53}, {21,29}, {12,34}, {19,36}, {26,57}, {6,42}, {4,35}, {21,48}, {21,51}, {19,32}, {15,51}, {28,57}, {1,56}, {11,37}, {23,33}, {16,35}, {8,55}, {5,55}, {14,42}, {10,34}, {2,40}, {17,45}, {9,45}, {12,59}, {14,41}, {18,50}, {12,57}, {22,46}, {26,34}, {28,38}, {2,59}, {23,50}, {15,31}, {6,55}, {28,59}, {9,49}, {18,40}, {24,42}, {27,43}, {5,44}, {12,54}, {25,54}, {22,36}, {26,33}, {8,39}, {22,32}, {23,41}, {28,58}, {5,36}, {9,34}, {10,32}, {13,46}, {25,60}, {4,39}, {25,48}, {12,35}, {6,35}, {28,41}, {13,52}, {17,43}, {26,58}, {1,37}, {2,42}, {18,42}, {16,32}, {6,33}, {2,32}, {18,34}, {12,51}, {17,49}, {3,46}, {5,48}, {2,58}, {4,56}, {5,30}, {11,38} }; // ETB60.226 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 44040192 EdgesBipt[60][225]:={ {24,34}, {7,48}, {10,37}, {8,57}, {27,48}, {14,36}, {6,59}, {11,49}, {9,32}, {26,46}, {5,56}, {2,55}, {3,58}, {23,53}, {25,47}, {8,51}, {19,57}, {25,57}, {5,45}, {22,40}, {1,49}, {25,40}, {1,40}, {13,39}, {17,42}, {28,44}, {15,44}, {14,50}, {4,31}, {8,40}, {5,57}, {20,46}, {21,30}, {11,57}, {24,32}, {24,54}, {21,41}, {2,49}, {14,45}, {16,37}, {19,37}, {20,37}, {4,40}, {20,52}, {2,46}, {6,56}, {13,43}, {24,48}, {6,58}, {14,29}, {23,44}, {27,54}, {2,33}, {17,35}, {24,56}, {4,38}, {3,49}, {21,53}, {11,29}, {10,56}, {10,42}, {6,29}, {24,58}, {27,36}, {10,47}, {19,31}, {22,37}, {26,38}, {16,48}, {1,52}, {2,52}, {8,30}, {7,59}, {12,46}, {20,43}, {13,59}, {7,45}, {8,46}, {5,41}, {17,39}, {20,49}, {13,30}, {4,58}, {11,39}, {6,49}, {7,33}, {12,31}, {3,52}, {12,40}, {27,50}, {5,60}, {18,58}, {20,39}, {5,37}, {19,52}, {27,32}, {27,41}, {24,50}, {13,55}, {18,35}, {9,56}, {24,45}, {13,42}, {9,35}, {1,36}, {1,29}, {12,37}, {16,34}, {16,43}, {10,35}, {15,45}, {18,39}, {26,52}, {13,58}, {8,38}, {20,55}, {17,47}, {12,52}, {18,47}, {1,38}, {18,46}, {14,32}, {2,36}, {8,49}, {20,36}, {16,40}, {28,60}, {10,51}, {26,36}, {22,34}, {27,30}, {1,43}, {18,33}, {6,51}, {23,60}, {3,38}, {10,59}, {16,59}, {3,43}, {21,55}, {20,41}, {2,39}, {9,59}, {9,46}, {24,40}, {3,47}, {27,39}, {7,32}, {3,31}, {19,47}, {25,33}, {27,60}, {18,55}, {7,37}, {7,53}, {5,53}, {2,30}, {9,58}, {5,35}, {14,34}, {28,42}, {15,50}, {3,36}, {19,49}, {8,48}, {11,60}, {26,41}, {27,57}, {25,44}, {4,60}, {8,56}, {12,56}, {12,47}, {23,39}, {18,51}, {16,29}, {11,36}, {13,48}, {9,51}, {27,52}, {22,48}, {16,57}, {15,37}, {15,34}, {10,58}, {10,46}, {11,33}, {22,56}, {17,51}, {17,58}, {14,39}, {11,48}, {8,41}, {9,38}, {18,38}, {21,37}, {28,48}, {3,59}, {3,29}, {11,52}, {17,31}, {13,36}, {1,41}, {4,45}, {26,44}, {1,59}, {21,57}, {22,29}, {28,49}, {9,54}, {12,41}, {18,54}, {26,54}, {11,44}, {4,47}, {20,31}, {8,59}, {23,48}, {25,49}, {17,55}, {7,35}, {19,45}, {15,60}, {16,56}, {25,30}, {2,43}, {15,58}, {27,34}, {12,30}, {22,44}, {10,31}, {25,41}, {7,58}, {15,52}, {17,46}, {15,53}, {23,51}, {25,46}, {22,50}, {13,50}, {23,35}, {20,30}, {9,30}, {24,38}, {19,55}, {18,44}, {22,45}, {16,41}, {6,45}, {25,31}, {17,44}, {19,41}, {14,52}, {17,30}, {10,30}, {5,40}, {20,47}, {4,50}, {26,47}, {4,34}, {1,57}, {26,31}, {28,45}, {6,31}, {11,32}, {22,53}, {21,32}, {11,54}, {14,43}, {3,42}, {22,57}, {14,37}, {13,38}, {24,35}, {21,59}, {19,53}, {18,31}, {19,44}, {7,49}, {1,48}, {16,45}, {25,38}, {20,59}, {7,39}, {23,34}, {4,36}, {15,39}, {22,41}, {4,29}, {1,32}, {1,54}, {24,29}, {21,39}, {19,29}, {28,32}, {6,43}, {6,37}, {8,32}, {24,51}, {5,31}, {4,44}, {2,54}, {21,49}, {24,60}, {12,50}, {12,43}, {17,50}, {10,40}, {14,55}, {27,46}, {23,37}, {26,30}, {7,29}, {18,30}, {23,57}, {28,39}, {14,58}, {21,46}, {6,47}, {3,33}, {28,29}, {16,36}, {13,32}, {1,45}, {10,50}, {23,32}, {19,33}, {19,39}, {16,53}, {7,55}, {20,57}, {15,29}, {14,59}, {26,60}, {19,60}, {8,43}, {3,56}, {2,31}, {11,45}, {1,33}, {21,33}, {3,54}, {20,53}, {12,36}, {3,45}, {4,42}, {5,29}, {16,50}, {12,53}, {27,55}, {23,55}, {8,33}, {5,47}, {28,54}, {17,34}, {21,35}, {28,33}, {15,55}, {18,49}, {15,47}, {7,51}, {20,33}, {28,55}, {26,50}, {5,51}, {13,34}, {11,41}, {17,60}, {9,50}, {15,42}, {22,51}, {21,43}, {7,42}, {10,53}, {24,44}, {12,34}, {19,36}, {26,57}, {28,35}, {23,30}, {6,42}, {27,44}, {21,48}, {21,51}, {23,46}, {5,49}, {1,56}, {13,54}, {2,47}, {14,42}, {10,34}, {17,53}, {3,40}, {8,35}, {8,54}, {12,59}, {12,57}, {17,37}, {26,34}, {16,52}, {28,38}, {2,38}, {2,59}, {23,50}, {15,36}, {25,35}, {22,35}, {10,43}, {15,31}, {6,53}, {7,43}, {9,40}, {11,55}, {24,42}, {26,40}, {18,60}, {5,44}, {25,54}, {4,52}, {9,43}, {14,53}, {22,32}, {9,42}, {23,41}, {28,58}, {9,34}, {13,46}, {25,60}, {6,35}, {28,51}, {22,60}, {13,52}, {14,48}, {26,56}, {2,42}, {18,42}, {16,32}, {6,33}, {25,56}, {9,48}, {5,33}, {2,58}, {4,56}, {4,54}, {11,38}, {25,51}, {27,38}, {6,40} }; // ETB60.227 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1409286144 EdgesBipt[60][226]:={ {24,34}, {15,33}, {18,45}, {7,48}, {11,40}, {10,37}, {16,47}, {15,59}, {14,36}, {9,32}, {5,56}, {27,59}, {8,51}, {22,40}, {25,40}, {1,40}, {14,38}, {26,49}, {15,44}, {14,50}, {17,33}, {8,40}, {3,35}, {20,46}, {10,33}, {24,32}, {27,33}, {14,56}, {2,49}, {21,54}, {10,39}, {26,37}, {6,48}, {3,39}, {20,37}, {20,58}, {5,32}, {8,31}, {4,37}, {20,52}, {13,43}, {6,56}, {24,48}, {14,57}, {23,44}, {27,56}, {13,40}, {6,32}, {17,35}, {2,33}, {24,56}, {11,35}, {27,36}, {20,38}, {22,55}, {19,31}, {26,38}, {12,48}, {4,43}, {1,52}, {2,52}, {4,30}, {8,30}, {12,46}, {9,33}, {13,59}, {7,45}, {8,46}, {28,31}, {8,37}, {9,57}, {26,39}, {6,60}, {16,60}, {21,38}, {12,38}, {7,41}, {20,49}, {26,55}, {23,31}, {13,30}, {17,59}, {4,58}, {25,34}, {6,49}, {3,52}, {19,48}, {27,50}, {2,48}, {5,37}, {27,41}, {24,50}, {24,47}, {21,50}, {18,35}, {24,31}, {24,45}, {13,42}, {20,35}, {1,36}, {1,29}, {19,42}, {23,42}, {12,37}, {13,51}, {2,56}, {6,46}, {23,58}, {16,43}, {15,45}, {6,44}, {26,52}, {13,58}, {8,38}, {18,57}, {5,50}, {2,29}, {5,34}, {14,32}, {2,36}, {13,41}, {20,36}, {20,42}, {26,36}, {18,29}, {9,36}, {9,29}, {9,39}, {11,51}, {7,54}, {18,36}, {22,43}, {23,60}, {10,59}, {16,59}, {19,46}, {3,43}, {18,56}, {21,55}, {14,46}, {20,41}, {24,40}, {3,47}, {1,42}, {22,59}, {28,40}, {7,32}, {27,40}, {19,38}, {1,31}, {3,31}, {19,47}, {25,33}, {3,51}, {1,39}, {7,37}, {17,57}, {5,53}, {11,42}, {7,53}, {9,58}, {5,35}, {14,34}, {3,36}, {19,49}, {25,29}, {11,60}, {14,54}, {27,57}, {4,32}, {25,44}, {4,60}, {22,49}, {1,30}, {21,45}, {8,56}, {8,50}, {23,39}, {1,55}, {18,51}, {4,53}, {16,29}, {11,36}, {13,48}, {3,55}, {27,52}, {1,47}, {10,57}, {16,57}, {15,37}, {20,51}, {10,46}, {22,56}, {9,55}, {17,51}, {14,39}, {11,48}, {19,30}, {10,55}, {8,47}, {24,55}, {17,54}, {3,59}, {11,58}, {11,52}, {26,44}, {12,55}, {28,49}, {20,54}, {26,54}, {11,44}, {13,45}, {24,39}, {8,59}, {25,49}, {24,59}, {21,42}, {15,60}, {25,30}, {2,43}, {15,58}, {22,30}, {27,34}, {12,30}, {6,30}, {7,50}, {22,44}, {7,34}, {10,29}, {7,58}, {15,53}, {23,51}, {13,56}, {25,46}, {23,35}, {20,30}, {5,39}, {8,53}, {19,55}, {3,32}, {18,44}, {16,41}, {17,44}, {13,29}, {14,52}, {8,34}, {10,30}, {5,40}, {4,50}, {21,58}, {23,47}, {25,45}, {16,30}, {12,45}, {26,47}, {4,34}, {17,38}, {15,35}, {12,29}, {26,31}, {28,45}, {6,31}, {11,32}, {9,52}, {11,54}, {13,57}, {15,49}, {21,59}, {27,58}, {14,40}, {24,43}, {9,41}, {16,31}, {16,45}, {25,38}, {3,41}, {23,34}, {4,36}, {9,44}, {22,52}, {25,50}, {4,59}, {24,29}, {21,39}, {6,37}, {22,39}, {6,57}, {26,53}, {16,44}, {4,44}, {2,54}, {24,60}, {17,41}, {3,53}, {25,42}, {17,50}, {18,41}, {14,55}, {7,29}, {11,56}, {23,57}, {21,52}, {28,39}, {2,45}, {6,47}, {3,48}, {28,29}, {16,36}, {13,32}, {1,45}, {10,50}, {27,49}, {19,59}, {19,33}, {19,39}, {19,43}, {20,57}, {16,46}, {15,29}, {11,47}, {27,47}, {26,60}, {4,46}, {18,52}, {8,43}, {16,38}, {5,58}, {20,53}, {2,53}, {12,44}, {7,47}, {2,37}, {4,42}, {12,53}, {10,41}, {23,55}, {14,30}, {21,34}, {7,31}, {12,39}, {28,54}, {17,34}, {3,57}, {21,35}, {28,33}, {15,47}, {22,33}, {11,31}, {20,33}, {1,53}, {28,55}, {12,60}, {26,50}, {5,51}, {17,60}, {15,42}, {22,51}, {13,35}, {21,43}, {7,42}, {6,41}, {28,56}, {10,53}, {21,29}, {24,44}, {9,60}, {28,35}, {23,30}, {19,58}, {21,51}, {19,32}, {15,51}, {23,46}, {18,53}, {5,49}, {28,57}, {1,56}, {5,55}, {10,34}, {8,35}, {10,45}, {2,40}, {8,54}, {9,45}, {14,41}, {18,50}, {16,54}, {22,46}, {26,34}, {16,52}, {28,38}, {7,38}, {5,42}, {2,38}, {2,59}, {23,50}, {12,32}, {22,35}, {10,43}, {21,36}, {15,31}, {6,53}, {27,42}, {9,49}, {18,40}, {27,43}, {18,60}, {12,54}, {25,54}, {4,52}, {22,36}, {26,33}, {1,46}, {27,31}, {3,37}, {9,42}, {23,41}, {15,43}, {13,46}, {25,60}, {12,35}, {17,32}, {28,51}, {22,60}, {28,41}, {17,43}, {25,58}, {14,48}, {1,37}, {1,58}, {4,48}, {7,57}, {2,32}, {6,33}, {18,34}, {12,51}, {17,49}, {25,56}, {9,48}, {19,54}, {17,48}, {5,48}, {5,33}, {18,37}, {28,47}, {11,38}, {10,49}, {6,40} }; // ETB60.228 // Bipartite(28,32) Valencies [16,14] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 176160768 EdgesBipt[60][227]:={ {15,33}, {6,38}, {10,37}, {16,47}, {15,59}, {8,57}, {27,48}, {14,36}, {6,59}, {5,38}, {23,29}, {25,37}, {5,43}, {2,55}, {3,58}, {5,59}, {23,53}, {27,59}, {11,59}, {8,51}, {19,57}, {25,57}, {5,45}, {22,40}, {1,49}, {25,40}, {13,37}, {17,42}, {13,39}, {28,44}, {11,43}, {8,40}, {16,58}, {26,43}, {20,46}, {10,33}, {21,30}, {11,57}, {14,31}, {16,55}, {24,36}, {14,56}, {2,49}, {21,54}, {26,37}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {15,41}, {4,40}, {6,56}, {27,56}, {2,33}, {17,35}, {6,32}, {4,38}, {3,49}, {11,35}, {15,57}, {10,42}, {27,36}, {20,38}, {2,34}, {22,55}, {26,38}, {21,40}, {16,42}, {16,48}, {15,32}, {2,52}, {23,45}, {8,30}, {7,59}, {16,49}, {23,38}, {9,33}, {20,43}, {7,45}, {8,46}, {24,46}, {17,39}, {16,60}, {21,38}, {7,41}, {20,49}, {23,31}, {13,30}, {17,59}, {23,54}, {4,58}, {12,42}, {6,49}, {26,29}, {7,33}, {12,31}, {20,29}, {27,50}, {24,30}, {19,52}, {27,32}, {27,41}, {24,47}, {26,35}, {13,55}, {18,35}, {9,56}, {24,31}, {24,45}, {28,30}, {9,35}, {1,29}, {19,42}, {23,42}, {12,37}, {2,56}, {6,46}, {23,58}, {7,56}, {10,35}, {26,52}, {28,43}, {8,38}, {18,57}, {17,47}, {4,49}, {12,52}, {18,47}, {1,38}, {18,46}, {14,32}, {2,36}, {25,52}, {28,60}, {10,51}, {26,36}, {22,34}, {24,37}, {27,30}, {9,36}, {12,49}, {9,39}, {11,51}, {5,54}, {22,43}, {18,56}, {24,41}, {20,41}, {2,39}, {9,59}, {9,46}, {14,35}, {22,59}, {27,40}, {1,31}, {25,33}, {1,39}, {28,53}, {28,42}, {15,50}, {25,29}, {8,48}, {11,60}, {27,57}, {4,32}, {25,44}, {4,60}, {21,45}, {8,56}, {12,47}, {1,55}, {18,51}, {24,53}, {11,36}, {3,30}, {3,55}, {13,48}, {9,51}, {27,52}, {1,47}, {10,57}, {22,48}, {21,47}, {26,51}, {16,57}, {10,36}, {15,37}, {10,38}, {15,34}, {10,58}, {10,46}, {22,56}, {9,55}, {17,51}, {17,58}, {14,39}, {21,31}, {11,48}, {8,41}, {24,55}, {17,54}, {28,48}, {8,45}, {3,29}, {11,52}, {17,31}, {13,36}, {1,51}, {13,53}, {22,29}, {25,32}, {20,54}, {26,54}, {11,44}, {24,39}, {23,48}, {25,49}, {17,55}, {24,59}, {21,42}, {7,35}, {19,45}, {5,52}, {27,34}, {6,30}, {4,33}, {22,44}, {25,41}, {7,58}, {17,46}, {15,53}, {22,31}, {22,50}, {13,50}, {20,30}, {9,30}, {5,39}, {19,55}, {18,44}, {22,45}, {16,41}, {20,44}, {19,41}, {14,52}, {17,30}, {10,30}, {4,50}, {21,58}, {23,47}, {25,45}, {28,37}, {16,30}, {21,60}, {4,34}, {17,38}, {15,35}, {25,53}, {28,45}, {6,31}, {11,32}, {9,52}, {11,54}, {10,52}, {3,42}, {19,50}, {14,37}, {1,44}, {13,38}, {15,49}, {10,54}, {26,59}, {27,58}, {18,31}, {19,44}, {14,40}, {7,49}, {24,43}, {16,31}, {20,59}, {23,34}, {15,39}, {9,44}, {1,54}, {24,29}, {20,60}, {19,29}, {28,32}, {6,43}, {6,37}, {8,32}, {22,39}, {26,53}, {19,34}, {16,44}, {4,44}, {2,54}, {7,40}, {2,41}, {12,50}, {12,43}, {3,53}, {17,50}, {18,41}, {14,55}, {1,60}, {27,46}, {23,37}, {7,29}, {14,47}, {18,30}, {8,29}, {23,57}, {21,52}, {13,44}, {14,58}, {21,46}, {6,47}, {3,33}, {28,29}, {13,32}, {1,45}, {20,50}, {23,32}, {14,51}, {3,50}, {19,39}, {3,34}, {20,57}, {16,46}, {11,47}, {19,60}, {25,36}, {3,56}, {2,31}, {1,33}, {5,58}, {12,36}, {3,45}, {12,44}, {7,47}, {24,57}, {4,42}, {5,29}, {12,53}, {10,41}, {7,31}, {12,33}, {12,58}, {2,57}, {17,34}, {6,54}, {15,55}, {7,51}, {11,31}, {20,33}, {21,44}, {15,48}, {1,53}, {12,60}, {19,35}, {26,50}, {13,34}, {24,52}, {11,41}, {7,42}, {2,50}, {10,53}, {21,29}, {12,34}, {9,60}, {19,36}, {28,35}, {19,58}, {4,35}, {15,51}, {18,53}, {5,49}, {13,54}, {20,34}, {20,45}, {2,47}, {8,55}, {5,55}, {14,42}, {16,33}, {3,40}, {13,60}, {8,35}, {2,40}, {8,54}, {21,56}, {12,59}, {18,50}, {16,39}, {26,34}, {5,42}, {2,38}, {23,50}, {21,36}, {6,53}, {28,59}, {27,42}, {9,49}, {7,43}, {18,40}, {9,40}, {19,51}, {26,40}, {27,43}, {18,60}, {9,43}, {22,47}, {14,53}, {3,37}, {8,39}, {22,32}, {23,41}, {28,58}, {5,36}, {15,43}, {13,46}, {25,60}, {25,48}, {28,51}, {22,60}, {13,52}, {17,43}, {14,48}, {1,37}, {26,56}, {16,32}, {4,48}, {7,57}, {26,45}, {6,33}, {18,34}, {25,56}, {3,46}, {5,48}, {5,33}, {18,37}, {4,56}, {4,54}, {11,38}, {10,49}, {28,46}, {6,40} }; // ETB60.229 // Bipartite(30,30) Valencies [16,16] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 43293270343680 EdgesBipt[60][228]:={ {3,42}, {26,54}, {13,40}, {24,33}, {14,48}, {30,43}, {24,59}, {30,59}, {7,47}, {22,53}, {26,33}, {4,60}, {7,57}, {3,49}, {4,57}, {18,58}, {5,52}, {6,60}, {17,54}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {3,55}, {22,56}, {2,39}, {18,38}, {7,53}, {15,50}, {28,54}, {23,56}, {18,49}, {24,52}, {16,54}, {16,57}, {22,51}, {12,32}, {30,44}, {5,56}, {1,41}, {23,50}, {23,54}, {14,54}, {21,35}, {25,58}, {20,42}, {2,52}, {23,45}, {19,49}, {19,60}, {4,38}, {11,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {25,49}, {4,34}, {26,46}, {7,60}, {29,50}, {14,40}, {17,43}, {21,46}, {23,58}, {24,36}, {14,33}, {3,32}, {11,31}, {8,59}, {5,55}, {17,42}, {21,57}, {12,35}, {12,48}, {20,57}, {11,36}, {28,44}, {19,54}, {24,48}, {15,59}, {15,51}, {30,51}, {13,53}, {28,49}, {27,32}, {28,32}, {25,56}, {4,59}, {25,41}, {17,51}, {2,37}, {25,45}, {9,53}, {6,31}, {8,40}, {1,31}, {11,48}, {6,35}, {17,32}, {26,58}, {20,44}, {5,45}, {3,48}, {21,42}, {18,53}, {13,54}, {29,38}, {7,51}, {22,32}, {8,39}, {22,45}, {15,43}, {29,51}, {27,56}, {2,36}, {14,51}, {18,42}, {18,55}, {16,42}, {12,44}, {8,58}, {8,35}, {6,40}, {24,44}, {4,39}, {27,41}, {21,55}, {6,57}, {12,56}, {25,60}, {22,47}, {16,43}, {8,47}, {24,43}, {10,50}, {19,35}, {26,60}, {1,42}, {22,41}, {4,45}, {28,39}, {30,40}, {4,44}, {20,60}, {5,36}, {7,31}, {12,33}, {14,53}, {26,43}, {22,60}, {1,37}, {14,50}, {8,60}, {28,52}, {6,52}, {21,37}, {25,38}, {27,51}, {2,34}, {15,55}, {14,35}, {12,41}, {5,42}, {23,39}, {2,47}, {10,43}, {24,58}, {27,36}, {25,46}, {15,57}, {29,41}, {26,49}, {20,49}, {20,52}, {20,40}, {21,40}, {5,51}, {11,58}, {9,37}, {19,44}, {22,46}, {9,52}, {12,50}, {4,33}, {15,40}, {18,34}, {1,44}, {10,31}, {22,38}, {11,49}, {30,57}, {8,56}, {21,45}, {27,33}, {3,43}, {18,48}, {16,48}, {14,36}, {7,42}, {26,31}, {12,47}, {12,49}, {2,51}, {6,37}, {28,40}, {29,36}, {23,32}, {2,58}, {7,36}, {10,46}, {14,37}, {11,45}, {9,44}, {24,53}, {21,50}, {19,57}, {30,38}, {30,53}, {8,55}, {16,37}, {1,54}, {13,32}, {17,36}, {26,39}, {30,36}, {30,55}, {15,36}, {27,59}, {8,41}, {28,37}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {25,52}, {5,60}, {16,46}, {27,48}, {9,59}, {29,33}, {29,40}, {1,39}, {18,43}, {6,45}, {17,37}, {10,37}, {2,42}, {10,52}, {24,51}, {27,47}, {4,42}, {3,53}, {14,41}, {9,60}, {5,34}, {26,34}, {1,43}, {15,46}, {29,56}, {1,52}, {1,59}, {4,49}, {26,48}, {7,46}, {8,45}, {6,47}, {20,37}, {5,59}, {11,33}, {30,50}, {13,37}, {24,37}, {10,53}, {13,59}, {6,46}, {2,49}, {23,44}, {5,40}, {16,31}, {22,36}, {27,34}, {26,40}, {28,31}, {6,50}, {1,48}, {15,44}, {23,41}, {16,41}, {16,52}, {3,57}, {28,59}, {6,32}, {17,35}, {15,31}, {24,47}, {10,35}, {9,47}, {6,55}, {27,46}, {15,58}, {19,39}, {12,59}, {15,35}, {5,41}, {8,54}, {19,33}, {3,34}, {9,48}, {3,38}, {2,43}, {23,60}, {13,44}, {9,33}, {15,38}, {7,38}, {22,39}, {8,32}, {4,54}, {23,40}, {13,31}, {10,38}, {10,60}, {18,33}, {21,33}, {30,58}, {1,56}, {1,46}, {23,55}, {10,34}, {21,47}, {14,52}, {5,49}, {28,34}, {13,39}, {11,43}, {29,54}, {28,38}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {18,56}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {20,34}, {25,34}, {27,44}, {17,52}, {19,59}, {11,46}, {11,54}, {3,41}, {17,49}, {13,34}, {14,56}, {3,56}, {16,39}, {30,42}, {5,37}, {25,43}, {7,41}, {25,50}, {20,59}, {18,40}, {17,57}, {24,32}, {14,39}, {9,45}, {13,52}, {29,52}, {19,53}, {7,56}, {10,41}, {23,35}, {11,55}, {12,34}, {29,48}, {19,45}, {16,44}, {4,50}, {2,50}, {4,48}, {21,52}, {8,43}, {23,59}, {16,58}, {7,39}, {10,56}, {9,51}, {9,38}, {1,33}, {2,32}, {6,33}, {14,55}, {29,39}, {28,46}, {24,38}, {19,48}, {9,36}, {29,53}, {27,49}, {18,47}, {29,37}, {7,45}, {20,41}, {14,38}, {18,57}, {20,56}, {25,35}, {11,40}, {25,31}, {5,44}, {21,48}, {29,55}, {24,45}, {9,32}, {3,58}, {30,35}, {18,32}, {21,32}, {22,31}, {28,55}, {30,31}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {3,40}, {16,59}, {22,42}, {12,36}, {27,31}, {13,49}, {26,51}, {28,53}, {3,33}, {27,35}, {1,57}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {5,57}, {4,53}, {10,58}, {12,31}, {20,36}, {20,45}, {29,35}, {26,55}, {21,60}, {26,45}, {22,57}, {4,35}, {28,47}, {2,35}, {25,53}, {17,47}, {8,50}, {25,37}, {24,60}, {11,60}, {10,49}, {30,46}, {12,46}, {1,58} }; // ETB60.230 // Bipartite(30,30) Valencies [16,16] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 1546188226560 EdgesBipt[60][229]:={ {26,54}, {13,40}, {24,33}, {30,37}, {30,54}, {11,42}, {4,46}, {30,43}, {24,59}, {19,41}, {25,42}, {22,37}, {22,53}, {28,56}, {17,56}, {7,57}, {3,49}, {14,49}, {5,32}, {14,47}, {8,31}, {6,60}, {17,54}, {2,57}, {3,47}, {9,58}, {6,48}, {27,53}, {11,34}, {22,56}, {28,50}, {15,54}, {2,39}, {7,53}, {15,50}, {19,51}, {23,56}, {18,49}, {9,49}, {15,33}, {12,52}, {5,43}, {16,57}, {22,51}, {12,32}, {5,56}, {23,54}, {3,54}, {10,55}, {20,42}, {23,45}, {6,34}, {4,38}, {11,39}, {16,33}, {19,38}, {26,46}, {13,48}, {18,37}, {10,42}, {14,40}, {17,43}, {23,34}, {17,45}, {3,32}, {11,31}, {25,51}, {1,53}, {26,57}, {5,47}, {5,55}, {16,51}, {17,42}, {23,49}, {18,50}, {12,35}, {20,57}, {11,36}, {28,44}, {1,55}, {24,48}, {19,40}, {10,51}, {28,42}, {27,32}, {18,54}, {25,56}, {4,59}, {25,41}, {7,59}, {17,51}, {9,50}, {14,43}, {9,53}, {28,57}, {8,40}, {2,41}, {1,31}, {6,58}, {17,32}, {21,44}, {26,58}, {3,48}, {8,57}, {4,41}, {20,58}, {7,51}, {8,39}, {20,54}, {15,43}, {29,51}, {2,36}, {12,38}, {13,33}, {18,35}, {30,34}, {20,32}, {14,51}, {16,42}, {12,44}, {15,34}, {2,60}, {18,59}, {24,44}, {20,39}, {29,32}, {8,47}, {6,39}, {10,50}, {24,43}, {2,45}, {19,35}, {26,60}, {1,42}, {8,49}, {10,48}, {22,41}, {19,31}, {20,43}, {4,44}, {5,36}, {12,39}, {7,31}, {26,43}, {1,37}, {8,60}, {28,52}, {6,52}, {21,37}, {3,50}, {25,38}, {5,42}, {21,59}, {6,49}, {4,56}, {23,39}, {2,47}, {27,60}, {24,58}, {29,41}, {26,49}, {20,49}, {2,56}, {20,40}, {5,51}, {29,60}, {16,55}, {25,33}, {11,58}, {14,32}, {27,38}, {24,49}, {19,44}, {22,46}, {8,34}, {23,46}, {12,50}, {4,33}, {18,52}, {21,34}, {18,34}, {1,44}, {22,38}, {11,49}, {8,56}, {12,58}, {7,37}, {21,45}, {18,48}, {16,48}, {14,36}, {7,42}, {17,46}, {24,50}, {6,43}, {26,31}, {12,47}, {2,51}, {6,37}, {28,40}, {3,37}, {29,36}, {23,32}, {2,58}, {29,46}, {7,36}, {11,45}, {29,47}, {13,50}, {9,44}, {24,53}, {22,59}, {30,38}, {30,53}, {13,35}, {8,55}, {16,37}, {27,45}, {17,36}, {26,39}, {18,44}, {9,35}, {12,45}, {10,36}, {27,59}, {8,41}, {28,37}, {13,46}, {9,43}, {11,51}, {6,53}, {25,52}, {29,45}, {16,46}, {9,59}, {24,34}, {27,54}, {4,40}, {16,36}, {12,54}, {29,40}, {6,45}, {10,37}, {25,36}, {6,44}, {22,52}, {2,42}, {18,60}, {10,52}, {15,37}, {7,35}, {27,47}, {21,43}, {30,33}, {14,41}, {9,60}, {5,34}, {26,34}, {29,56}, {1,52}, {1,59}, {3,35}, {14,31}, {8,45}, {7,46}, {11,57}, {5,58}, {30,50}, {24,35}, {13,37}, {10,53}, {13,59}, {21,54}, {14,46}, {10,57}, {5,40}, {16,31}, {22,36}, {26,40}, {28,31}, {1,40}, {28,35}, {19,56}, {17,31}, {1,48}, {23,41}, {25,40}, {19,36}, {9,34}, {3,60}, {16,52}, {28,59}, {24,47}, {10,35}, {9,47}, {15,58}, {12,59}, {21,53}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {2,43}, {25,48}, {14,34}, {23,60}, {30,49}, {13,44}, {19,55}, {16,40}, {3,59}, {9,33}, {29,34}, {8,42}, {15,38}, {7,38}, {8,32}, {7,52}, {23,40}, {12,53}, {13,31}, {29,43}, {4,51}, {10,38}, {18,33}, {21,33}, {30,58}, {6,54}, {1,46}, {23,55}, {5,49}, {11,43}, {3,52}, {20,51}, {28,48}, {27,58}, {19,50}, {13,55}, {17,58}, {17,39}, {26,36}, {29,58}, {13,57}, {20,34}, {7,44}, {27,44}, {19,59}, {11,46}, {4,31}, {30,32}, {11,54}, {15,39}, {10,33}, {23,57}, {14,56}, {22,50}, {27,52}, {15,49}, {1,38}, {29,49}, {7,41}, {3,44}, {25,50}, {12,60}, {1,36}, {17,57}, {24,32}, {9,45}, {21,58}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {11,55}, {4,50}, {16,44}, {23,31}, {17,41}, {4,48}, {21,52}, {28,41}, {10,56}, {14,60}, {9,38}, {27,37}, {25,57}, {1,33}, {2,32}, {6,33}, {14,55}, {15,52}, {28,46}, {24,38}, {19,48}, {10,40}, {18,47}, {30,52}, {8,46}, {20,41}, {15,32}, {27,39}, {20,56}, {25,35}, {13,56}, {6,38}, {19,46}, {11,40}, {13,42}, {17,60}, {14,45}, {3,45}, {21,48}, {29,55}, {1,51}, {24,45}, {9,32}, {16,53}, {30,35}, {18,32}, {26,42}, {22,31}, {20,47}, {14,58}, {28,55}, {30,48}, {22,35}, {7,50}, {12,43}, {5,39}, {23,42}, {15,53}, {2,54}, {21,49}, {16,59}, {27,43}, {22,42}, {22,44}, {26,51}, {21,39}, {3,33}, {27,35}, {1,57}, {23,47}, {20,55}, {27,50}, {16,38}, {5,57}, {4,53}, {12,37}, {29,31}, {25,55}, {20,36}, {15,47}, {26,55}, {21,60}, {30,39}, {26,45}, {22,57}, {28,33}, {4,35}, {30,47}, {25,53}, {17,47}, {25,37}, {24,60}, {21,38}, {6,59}, {11,60}, {4,36}, {5,54}, {2,31} }; // ETB60.231 // Bipartite(6,54) Valencies [18,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 27400560283100769789419716608000000 EdgesBipt[60][230]:={ {4,35}, {6,12}, {6,48}, {3,15}, {1,43}, {2,38}, {4,58}, {6,18}, {5,42}, {5,30}, {6,36}, {3,46}, {1,31}, {5,35}, {2,20}, {4,40}, {1,25}, {4,16}, {6,13}, {4,59}, {5,24}, {1,38}, {5,41}, {1,56}, {2,33}, {6,25}, {1,44}, {6,7}, {1,32}, {3,45}, {3,10}, {3,34}, {2,15}, {3,51}, {6,54}, {6,43}, {2,14}, {5,23}, {6,49}, {2,56}, {4,46}, {2,50}, {2,32}, {3,40}, {4,28}, {1,50}, {4,53}, {3,9}, {4,29}, {3,22}, {1,55}, {6,37}, {5,29}, {3,27}, {6,55}, {1,19}, {4,17}, {2,57}, {2,9}, {1,26}, {5,59}, {2,44}, {6,31}, {6,60}, {4,11}, {5,60}, {2,27}, {3,52}, {6,19}, {3,58}, {3,57}, {2,21}, {5,53}, {1,7}, {6,30}, {2,39}, {4,22}, {5,47}, {1,49}, {3,28}, {5,36}, {5,17}, {2,51}, {5,48}, {3,21}, {1,14}, {6,42}, {3,39}, {2,8}, {1,37}, {1,20}, {5,11}, {3,16}, {1,13}, {2,26}, {4,52}, {5,12}, {6,24}, {5,18}, {4,34}, {4,41}, {4,47}, {3,33}, {4,23}, {1,8}, {4,10}, {5,54}, {2,45} }; // ETB60.232 // Bipartite(6,54) Valencies [18,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3743906242624487424000000000 EdgesBipt[60][231]:={ {6,39}, {6,12}, {6,48}, {1,43}, {4,55}, {5,42}, {3,46}, {6,17}, {1,25}, {4,16}, {6,13}, {5,24}, {3,32}, {1,9}, {2,33}, {1,44}, {5,58}, {3,30}, {3,50}, {6,40}, {5,13}, {3,10}, {1,52}, {6,58}, {2,18}, {2,15}, {6,22}, {3,55}, {3,19}, {3,48}, {5,49}, {3,41}, {6,53}, {1,34}, {2,14}, {5,33}, {4,37}, {4,20}, {2,41}, {2,23}, {6,49}, {4,7}, {4,46}, {1,36}, {1,17}, {2,50}, {2,32}, {1,16}, {6,21}, {2,36}, {4,28}, {3,14}, {5,51}, {4,29}, {4,43}, {5,15}, {5,56}, {6,8}, {3,23}, {5,29}, {2,42}, {6,26}, {4,25}, {2,9}, {1,35}, {1,26}, {1,53}, {4,38}, {2,24}, {6,31}, {4,11}, {5,22}, {2,27}, {5,60}, {5,38}, {3,57}, {1,54}, {2,54}, {1,7}, {6,30}, {5,20}, {5,47}, {3,28}, {3,59}, {5,31}, {3,12}, {4,56}, {2,51}, {2,59}, {3,21}, {3,39}, {1,27}, {5,11}, {4,52}, {6,57}, {3,37}, {2,60}, {6,35}, {6,44}, {4,34}, {4,47}, {1,45}, {1,8}, {1,18}, {4,19}, {4,10}, {5,40}, {2,45} }; // ETB60.233 // Bipartite(15,45) Valencies [18,6] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 489295719341085174811066368000000 EdgesBipt[60][232]:={ {13,21}, {10,37}, {15,59}, {11,49}, {6,59}, {5,22}, {4,28}, {2,55}, {3,58}, {5,59}, {11,59}, {8,51}, {2,60}, {12,22}, {3,26}, {8,26}, {1,49}, {14,38}, {15,44}, {14,50}, {15,54}, {2,35}, {5,57}, {8,21}, {15,27}, {1,19}, {3,23}, {8,23}, {10,39}, {1,21}, {14,45}, {3,21}, {5,32}, {7,30}, {8,31}, {4,40}, {13,43}, {6,56}, {4,38}, {11,29}, {15,57}, {10,42}, {6,29}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {2,25}, {4,43}, {2,52}, {15,32}, {4,30}, {9,33}, {7,45}, {8,46}, {12,20}, {7,27}, {4,58}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {12,40}, {1,24}, {5,37}, {9,35}, {1,36}, {15,19}, {1,29}, {12,37}, {13,51}, {6,46}, {6,44}, {4,23}, {13,58}, {8,38}, {13,26}, {12,52}, {6,24}, {13,16}, {5,34}, {1,26}, {13,41}, {6,34}, {11,51}, {9,20}, {5,54}, {6,51}, {3,38}, {10,59}, {5,27}, {3,43}, {8,18}, {4,18}, {14,35}, {7,32}, {7,60}, {1,31}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {2,30}, {9,58}, {3,36}, {8,48}, {14,60}, {4,60}, {8,56}, {13,18}, {14,28}, {11,21}, {12,47}, {6,36}, {4,53}, {11,36}, {13,48}, {3,16}, {10,57}, {11,16}, {14,33}, {15,37}, {14,23}, {6,16}, {15,34}, {9,55}, {8,41}, {9,38}, {12,17}, {13,36}, {1,41}, {4,45}, {12,55}, {1,51}, {1,59}, {13,53}, {10,19}, {11,44}, {11,34}, {7,35}, {11,46}, {5,52}, {2,27}, {12,30}, {4,33}, {7,50}, {11,24}, {5,19}, {10,44}, {10,29}, {15,52}, {13,56}, {6,19}, {2,20}, {13,31}, {9,30}, {5,39}, {8,53}, {9,25}, {10,22}, {4,50}, {12,45}, {6,31}, {15,24}, {12,25}, {11,54}, {10,52}, {14,43}, {1,16}, {1,44}, {13,38}, {15,49}, {10,54}, {14,40}, {15,17}, {3,41}, {15,39}, {1,54}, {7,52}, {7,40}, {12,50}, {3,53}, {14,55}, {11,56}, {9,23}, {8,36}, {14,58}, {2,45}, {4,55}, {3,48}, {3,33}, {9,28}, {7,55}, {5,24}, {2,22}, {15,29}, {8,43}, {3,56}, {8,58}, {7,47}, {2,37}, {5,29}, {4,25}, {14,30}, {3,28}, {11,19}, {8,33}, {5,47}, {2,57}, {6,54}, {15,47}, {11,31}, {12,60}, {11,41}, {7,25}, {9,50}, {7,22}, {6,26}, {1,34}, {15,42}, {14,18}, {7,42}, {2,50}, {6,41}, {9,60}, {4,35}, {13,33}, {14,20}, {14,25}, {5,49}, {1,56}, {2,47}, {10,24}, {10,27}, {10,34}, {5,17}, {7,17}, {13,23}, {2,40}, {6,21}, {15,22}, {9,45}, {12,57}, {13,28}, {7,20}, {5,42}, {12,32}, {8,28}, {9,40}, {4,20}, {5,44}, {9,53}, {9,43}, {14,53}, {1,46}, {10,32}, {13,46}, {12,35}, {14,48}, {2,42}, {4,48}, {7,57}, {2,32}, {11,26}, {3,46}, {9,48}, {10,49} }; // ETB60.234 // Bipartite(15,45) Valencies [18,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338533188894720 EdgesBipt[60][233]:={ {8,48}, {11,17}, {11,53}, {15,52}, {3,33}, {9,58}, {3,60}, {1,20}, {10,24}, {10,25}, {11,20}, {9,28}, {14,56}, {6,16}, {2,46}, {13,21}, {11,35}, {13,40}, {4,24}, {14,19}, {4,26}, {12,51}, {2,56}, {10,37}, {4,30}, {8,30}, {4,56}, {2,23}, {7,55}, {7,38}, {8,42}, {9,55}, {3,45}, {8,33}, {12,38}, {5,56}, {4,19}, {13,57}, {7,22}, {15,44}, {1,19}, {2,27}, {12,55}, {5,20}, {9,43}, {15,48}, {2,26}, {14,31}, {1,21}, {15,47}, {14,50}, {12,58}, {2,41}, {3,57}, {9,53}, {12,34}, {8,27}, {11,50}, {2,42}, {10,22}, {13,55}, {6,22}, {15,25}, {3,18}, {7,58}, {6,29}, {3,17}, {15,29}, {6,21}, {11,38}, {3,46}, {6,31}, {11,33}, {4,60}, {14,60}, {1,50}, {5,22}, {8,19}, {7,20}, {10,47}, {5,50}, {15,32}, {9,26}, {9,27}, {12,36}, {15,40}, {1,44}, {4,41}, {8,41}, {2,38}, {11,49}, {12,49}, {10,52}, {5,43}, {8,45}, {14,30}, {9,41}, {7,32}, {10,54}, {8,60}, {4,45}, {2,53}, {7,43}, {7,25}, {5,58}, {2,35}, {11,44}, {1,22}, {1,51}, {3,44}, {11,59}, {6,30}, {4,21}, {9,54}, {6,60}, {10,31}, {1,59}, {9,42}, {2,20}, {14,16}, {2,57}, {13,18}, {10,40}, {12,43}, {1,29}, {7,50}, {2,16}, {7,53}, {3,32}, {9,25}, {2,32}, {13,33}, {11,23}, {6,24}, {11,29}, {6,44}, {7,17}, {6,46}, {9,56}, {5,24}, {5,46}, {8,53}, {12,28}, {12,25}, {15,37}, {1,58}, {8,56}, {13,25}, {13,54}, {10,42}, {1,28}, {14,41}, {3,27}, {4,54}, {10,46}, {4,28}, {4,43}, {15,17}, {3,29}, {1,43}, {5,28}, {13,36}, {15,36}, {8,26}, {1,52}, {12,33}, {13,30}, {5,41}, {4,36}, {2,17}, {10,55}, {14,59}, {13,60}, {8,57}, {6,51}, {7,47}, {9,40}, {5,54}, {12,23}, {9,57}, {5,31}, {13,24}, {1,49}, {12,19}, {12,40}, {12,53}, {8,23}, {14,34}, {10,32}, {14,49}, {4,58}, {6,54}, {10,39}, {13,27}, {1,35}, {13,42}, {1,37}, {14,20}, {15,21}, {5,39}, {7,28}, {3,16}, {14,45}, {15,18}, {7,23}, {6,36}, {3,30}, {8,34}, {10,17}, {4,51}, {6,45}, {8,38}, {10,27}, {4,34}, {14,44}, {3,48}, {15,22}, {13,51}, {15,51}, {11,32}, {13,48}, {15,33}, {2,47}, {4,49}, {2,31}, {11,47}, {8,49}, {5,26}, {8,18}, {3,42}, {10,57}, {9,39}, {6,52}, {9,38}, {11,19}, {12,48}, {11,48}, {14,35}, {15,59}, {3,31}, {9,24}, {6,59}, {6,39}, {14,46}, {6,37}, {3,47}, {11,34}, {7,35}, {13,39}, {3,59}, {13,45}, {7,37}, {5,35}, {1,34}, {7,52}, {5,37}, {15,55}, {4,39}, {7,40}, {9,23}, {5,52}, {12,18}, {11,18}, {1,36}, {12,21}, {14,29}, {2,50}, {14,26}, {10,16}, {5,16} }; // ETB60.235 // Bipartite(20,40) Valencies [18,9] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2880 EdgesBipt[60][234]:={ {13,21}, {18,45}, {16,47}, {8,57}, {6,59}, {5,38}, {16,51}, {19,26}, {5,43}, {5,59}, {11,59}, {19,57}, {8,26}, {1,49}, {13,37}, {1,40}, {17,42}, {11,43}, {14,50}, {15,54}, {2,35}, {17,33}, {8,40}, {16,58}, {3,35}, {11,57}, {14,31}, {16,55}, {14,56}, {2,49}, {3,23}, {17,56}, {8,23}, {10,39}, {1,21}, {3,39}, {16,37}, {15,56}, {7,30}, {15,41}, {4,37}, {4,40}, {2,46}, {13,27}, {14,29}, {16,21}, {11,35}, {10,56}, {20,38}, {2,34}, {20,26}, {4,24}, {4,43}, {16,42}, {1,52}, {16,48}, {18,32}, {15,32}, {2,52}, {8,30}, {7,59}, {9,33}, {20,24}, {5,41}, {6,60}, {16,60}, {12,38}, {7,41}, {17,59}, {19,22}, {6,39}, {11,39}, {6,49}, {3,52}, {19,48}, {20,29}, {13,47}, {5,60}, {1,24}, {2,48}, {15,30}, {19,52}, {13,55}, {16,25}, {9,56}, {13,42}, {19,42}, {12,37}, {13,51}, {6,46}, {10,35}, {4,23}, {13,58}, {8,38}, {18,57}, {20,55}, {5,50}, {4,49}, {17,36}, {5,34}, {18,46}, {14,32}, {13,41}, {8,49}, {20,36}, {20,42}, {18,29}, {9,36}, {6,34}, {1,43}, {9,29}, {11,51}, {12,49}, {18,26}, {7,54}, {18,36}, {10,59}, {5,27}, {18,59}, {19,46}, {3,43}, {15,28}, {18,56}, {2,39}, {9,59}, {14,35}, {1,42}, {19,56}, {19,38}, {11,22}, {6,27}, {9,58}, {15,50}, {19,23}, {4,21}, {17,29}, {14,54}, {14,60}, {2,44}, {14,28}, {6,36}, {4,53}, {16,29}, {9,51}, {1,47}, {10,57}, {3,24}, {10,36}, {15,37}, {20,51}, {11,33}, {18,22}, {8,60}, {13,25}, {17,51}, {8,47}, {8,24}, {9,38}, {14,21}, {7,46}, {11,58}, {1,41}, {2,23}, {4,45}, {13,53}, {9,22}, {11,44}, {4,47}, {3,44}, {3,25}, {19,24}, {11,34}, {17,55}, {15,58}, {12,30}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {10,31}, {9,31}, {10,44}, {10,29}, {7,58}, {15,52}, {17,46}, {13,56}, {1,25}, {13,50}, {13,31}, {19,55}, {14,27}, {18,44}, {20,44}, {13,29}, {14,52}, {10,22}, {5,40}, {10,30}, {7,23}, {16,30}, {12,45}, {15,35}, {17,38}, {12,29}, {6,31}, {11,32}, {17,52}, {16,26}, {3,42}, {19,50}, {3,22}, {19,44}, {6,23}, {7,39}, {3,41}, {7,24}, {6,57}, {10,28}, {5,31}, {17,22}, {20,48}, {4,44}, {2,54}, {2,41}, {12,43}, {20,32}, {17,50}, {10,21}, {9,21}, {11,56}, {14,47}, {2,28}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {3,33}, {14,26}, {1,45}, {19,59}, {11,30}, {19,33}, {9,28}, {3,34}, {2,21}, {16,53}, {7,55}, {20,57}, {5,24}, {2,22}, {18,52}, {8,43}, {1,33}, {18,27}, {5,58}, {3,54}, {20,53}, {8,58}, {12,36}, {16,27}, {2,53}, {12,44}, {4,42}, {4,25}, {14,30}, {3,28}, {7,31}, {12,33}, {12,39}, {12,58}, {5,47}, {6,54}, {20,27}, {15,55}, {11,31}, {20,33}, {15,48}, {1,53}, {12,60}, {7,25}, {6,26}, {15,42}, {1,34}, {6,41}, {17,24}, {17,40}, {20,23}, {9,60}, {18,23}, {4,35}, {19,32}, {15,51}, {18,53}, {5,49}, {7,26}, {20,45}, {10,60}, {11,37}, {11,28}, {2,47}, {8,55}, {16,35}, {5,55}, {10,34}, {17,53}, {13,60}, {10,45}, {17,27}, {2,40}, {8,54}, {17,45}, {9,45}, {14,41}, {18,50}, {12,57}, {16,54}, {13,28}, {1,28}, {7,38}, {12,32}, {15,31}, {9,49}, {7,43}, {18,40}, {19,51}, {20,40}, {5,25}, {15,26}, {9,43}, {14,53}, {1,46}, {3,37}, {8,39}, {5,36}, {9,34}, {10,32}, {4,39}, {12,35}, {13,52}, {6,50}, {14,48}, {1,37}, {8,25}, {4,48}, {16,32}, {7,57}, {12,21}, {12,51}, {18,48}, {3,46}, {15,25}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.236 // Bipartite(20,40) Valencies [18,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3019898880 EdgesBipt[60][235]:={ {7,48}, {6,38}, {19,28}, {11,40}, {16,47}, {15,38}, {15,59}, {14,36}, {11,49}, {5,38}, {19,26}, {2,55}, {5,59}, {8,51}, {5,45}, {8,26}, {13,37}, {11,43}, {14,50}, {15,54}, {2,35}, {3,35}, {10,33}, {11,57}, {14,31}, {15,27}, {14,56}, {3,23}, {17,56}, {8,23}, {1,21}, {14,45}, {16,37}, {20,37}, {5,32}, {8,31}, {4,37}, {6,58}, {16,21}, {19,21}, {14,44}, {11,29}, {11,27}, {10,47}, {19,40}, {2,34}, {12,28}, {12,48}, {4,24}, {1,52}, {18,32}, {15,32}, {12,46}, {20,43}, {8,46}, {5,41}, {6,60}, {17,39}, {16,60}, {20,49}, {12,26}, {17,59}, {7,33}, {12,31}, {3,52}, {12,40}, {19,48}, {20,29}, {17,26}, {13,24}, {20,39}, {19,52}, {13,55}, {16,25}, {9,56}, {13,42}, {1,36}, {12,37}, {13,51}, {16,34}, {6,46}, {7,56}, {10,35}, {15,45}, {6,44}, {18,39}, {8,38}, {18,57}, {5,50}, {4,49}, {6,24}, {17,36}, {1,38}, {18,46}, {1,26}, {20,36}, {16,40}, {10,51}, {8,22}, {9,36}, {6,34}, {1,43}, {11,51}, {8,42}, {18,26}, {18,36}, {18,59}, {19,46}, {3,43}, {5,28}, {18,56}, {20,41}, {2,39}, {7,32}, {12,24}, {7,60}, {11,22}, {13,49}, {6,27}, {7,53}, {11,42}, {2,30}, {9,58}, {5,35}, {19,23}, {19,49}, {17,29}, {8,48}, {11,60}, {20,25}, {4,32}, {1,30}, {4,53}, {11,36}, {3,30}, {3,55}, {13,48}, {9,51}, {1,47}, {11,23}, {16,57}, {14,33}, {2,51}, {10,38}, {15,34}, {10,58}, {18,22}, {13,25}, {17,51}, {17,58}, {14,39}, {10,55}, {9,38}, {17,54}, {17,31}, {1,41}, {2,23}, {9,54}, {15,23}, {12,41}, {18,54}, {4,47}, {13,45}, {8,59}, {3,25}, {11,46}, {16,56}, {2,43}, {5,52}, {15,58}, {2,27}, {12,30}, {6,30}, {4,33}, {10,31}, {9,31}, {4,57}, {10,29}, {7,58}, {15,52}, {17,46}, {13,22}, {13,31}, {9,30}, {5,39}, {8,53}, {19,55}, {3,32}, {14,27}, {16,41}, {7,28}, {17,44}, {19,41}, {13,29}, {9,25}, {6,22}, {10,25}, {17,38}, {3,42}, {3,22}, {13,57}, {15,49}, {7,49}, {16,45}, {20,59}, {15,39}, {4,29}, {1,32}, {4,59}, {7,52}, {19,29}, {7,24}, {20,48}, {19,34}, {3,60}, {16,44}, {4,44}, {2,54}, {7,40}, {2,41}, {12,50}, {17,41}, {3,53}, {10,40}, {10,21}, {7,29}, {11,56}, {14,47}, {18,30}, {9,23}, {13,44}, {4,55}, {6,47}, {3,33}, {16,36}, {14,51}, {3,50}, {9,28}, {2,21}, {4,27}, {19,43}, {20,57}, {18,28}, {5,24}, {15,29}, {11,47}, {14,59}, {4,46}, {18,52}, {19,60}, {8,43}, {2,31}, {1,33}, {20,28}, {5,58}, {20,53}, {8,58}, {3,45}, {16,27}, {12,44}, {2,37}, {12,53}, {10,41}, {14,30}, {12,33}, {8,33}, {2,57}, {3,57}, {6,54}, {17,34}, {15,47}, {11,31}, {20,33}, {1,53}, {14,24}, {12,60}, {19,35}, {13,34}, {9,50}, {7,22}, {6,26}, {15,42}, {13,35}, {5,21}, {2,50}, {7,42}, {10,53}, {17,24}, {20,23}, {9,60}, {17,21}, {6,42}, {4,35}, {19,32}, {14,25}, {1,56}, {13,54}, {20,45}, {1,50}, {10,60}, {11,37}, {2,47}, {1,23}, {8,55}, {5,55}, {14,42}, {10,27}, {3,40}, {8,35}, {10,45}, {15,22}, {9,45}, {18,50}, {4,26}, {12,57}, {16,54}, {13,28}, {20,56}, {16,24}, {16,52}, {7,38}, {2,59}, {6,55}, {7,44}, {8,28}, {9,40}, {1,27}, {5,44}, {5,25}, {4,52}, {9,43}, {14,53}, {1,46}, {3,37}, {14,22}, {8,39}, {9,34}, {15,43}, {4,39}, {7,36}, {6,35}, {6,50}, {20,21}, {1,58}, {18,42}, {16,32}, {12,21}, {18,34}, {12,51}, {17,49}, {18,48}, {11,26}, {9,48}, {19,54}, {5,48}, {15,25}, {18,37}, {5,30}, {10,49}, {6,40} }; // ETB60.237 // Bipartite(24,36) Valencies [18,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[60][236]:={ {24,34}, {15,33}, {7,48}, {6,38}, {11,40}, {16,47}, {15,38}, {8,57}, {23,29}, {5,56}, {19,26}, {5,59}, {8,51}, {5,45}, {3,26}, {8,26}, {22,40}, {1,40}, {17,42}, {11,43}, {15,54}, {17,33}, {4,31}, {5,57}, {24,32}, {24,54}, {21,41}, {2,49}, {14,45}, {6,48}, {20,37}, {20,58}, {21,28}, {5,32}, {7,30}, {15,41}, {4,37}, {2,46}, {6,56}, {13,43}, {24,48}, {14,57}, {14,29}, {10,48}, {14,44}, {6,32}, {4,38}, {3,49}, {11,35}, {11,29}, {10,56}, {15,57}, {6,29}, {19,40}, {2,34}, {22,55}, {19,31}, {2,25}, {12,48}, {16,42}, {1,52}, {16,48}, {2,52}, {16,49}, {23,38}, {9,33}, {20,43}, {13,59}, {7,45}, {8,46}, {8,37}, {17,39}, {8,52}, {7,41}, {20,49}, {13,30}, {17,59}, {23,54}, {12,42}, {6,39}, {23,36}, {11,39}, {7,33}, {12,31}, {13,47}, {5,60}, {15,30}, {20,39}, {19,52}, {24,50}, {13,55}, {18,35}, {24,31}, {23,43}, {9,35}, {1,36}, {19,42}, {23,42}, {13,51}, {6,46}, {23,58}, {6,44}, {18,39}, {13,58}, {8,38}, {20,55}, {13,26}, {9,47}, {12,52}, {4,49}, {5,50}, {18,47}, {18,46}, {1,26}, {2,36}, {20,36}, {22,34}, {22,58}, {9,29}, {11,51}, {12,49}, {18,26}, {7,54}, {5,54}, {18,36}, {5,27}, {16,59}, {19,46}, {3,43}, {15,28}, {5,28}, {18,56}, {24,41}, {2,39}, {9,59}, {24,40}, {14,35}, {1,42}, {3,31}, {12,27}, {19,47}, {3,51}, {1,39}, {7,37}, {7,53}, {11,42}, {2,30}, {17,57}, {9,58}, {5,35}, {14,34}, {15,50}, {17,29}, {8,48}, {14,60}, {20,25}, {4,60}, {22,49}, {19,27}, {8,50}, {14,28}, {6,36}, {1,55}, {4,53}, {16,29}, {11,36}, {3,30}, {3,55}, {13,48}, {1,47}, {10,57}, {22,48}, {21,47}, {16,57}, {14,33}, {15,37}, {20,51}, {10,38}, {15,34}, {10,58}, {11,33}, {22,56}, {8,60}, {13,25}, {21,25}, {19,30}, {8,41}, {9,38}, {9,26}, {17,54}, {18,38}, {21,37}, {7,46}, {3,59}, {17,31}, {1,41}, {12,55}, {1,51}, {1,59}, {13,53}, {22,29}, {9,54}, {12,41}, {18,54}, {11,44}, {13,45}, {20,31}, {24,39}, {8,59}, {11,34}, {17,28}, {21,42}, {7,35}, {19,45}, {15,60}, {16,56}, {2,43}, {15,58}, {22,30}, {2,27}, {4,33}, {7,50}, {22,44}, {7,34}, {10,31}, {10,44}, {10,29}, {15,52}, {24,25}, {23,51}, {1,25}, {22,31}, {13,50}, {23,56}, {20,30}, {9,30}, {24,38}, {8,53}, {19,55}, {3,32}, {18,44}, {7,28}, {6,45}, {19,41}, {14,52}, {9,25}, {15,46}, {10,30}, {5,40}, {21,60}, {10,25}, {17,38}, {11,32}, {9,52}, {21,32}, {12,25}, {11,54}, {16,26}, {10,52}, {14,43}, {22,57}, {14,37}, {13,38}, {23,27}, {24,35}, {19,53}, {18,31}, {24,43}, {16,45}, {20,59}, {3,41}, {4,36}, {22,41}, {4,29}, {9,44}, {1,32}, {22,52}, {4,59}, {20,60}, {6,37}, {22,39}, {24,27}, {24,51}, {6,57}, {5,31}, {19,34}, {3,60}, {16,44}, {4,44}, {21,49}, {12,50}, {3,53}, {17,50}, {10,40}, {1,60}, {11,56}, {2,28}, {8,29}, {23,57}, {21,52}, {13,44}, {2,45}, {21,46}, {6,47}, {16,36}, {1,45}, {10,50}, {23,32}, {14,51}, {19,59}, {11,30}, {19,39}, {9,28}, {3,34}, {16,53}, {4,27}, {7,55}, {16,46}, {18,28}, {15,29}, {14,59}, {4,46}, {3,56}, {2,31}, {20,28}, {20,53}, {8,58}, {12,36}, {16,27}, {2,53}, {5,26}, {7,47}, {2,37}, {4,42}, {23,55}, {21,34}, {12,33}, {12,39}, {12,58}, {5,47}, {15,55}, {18,49}, {7,51}, {15,47}, {22,33}, {24,52}, {11,41}, {17,60}, {13,35}, {21,43}, {21,27}, {23,49}, {17,40}, {24,44}, {9,60}, {8,44}, {23,30}, {6,28}, {19,58}, {6,42}, {4,35}, {21,51}, {19,32}, {14,25}, {5,49}, {1,56}, {13,54}, {20,45}, {23,33}, {2,47}, {8,55}, {16,35}, {10,27}, {10,34}, {16,33}, {17,53}, {3,40}, {17,27}, {21,56}, {17,45}, {9,45}, {14,41}, {18,50}, {4,26}, {12,57}, {17,37}, {1,28}, {20,56}, {23,25}, {3,27}, {23,50}, {22,35}, {10,43}, {21,36}, {6,53}, {7,43}, {18,40}, {11,55}, {24,42}, {18,60}, {20,40}, {12,54}, {15,26}, {22,36}, {9,43}, {14,53}, {3,37}, {9,34}, {10,32}, {13,46}, {4,39}, {12,35}, {17,32}, {6,50}, {14,48}, {21,26}, {1,58}, {8,25}, {2,42}, {16,32}, {7,57}, {12,51}, {18,48}, {3,46}, {5,48}, {5,33}, {2,58}, {18,37}, {4,54}, {11,38}, {10,49}, {6,40} }; // ETB60.238 // Bipartite(24,36) Valencies [18,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1728 EdgesBipt[60][237]:={ {15,33}, {6,52}, {18,45}, {19,28}, {16,47}, {15,59}, {8,57}, {9,32}, {6,25}, {19,26}, {11,25}, {3,58}, {5,59}, {11,59}, {8,51}, {3,26}, {14,38}, {13,39}, {17,42}, {15,44}, {15,54}, {8,40}, {5,57}, {3,35}, {20,46}, {11,57}, {14,31}, {15,27}, {16,55}, {24,32}, {21,41}, {14,45}, {3,39}, {16,37}, {15,56}, {20,58}, {21,28}, {1,35}, {4,51}, {15,41}, {8,31}, {2,46}, {24,48}, {13,27}, {14,57}, {10,48}, {13,40}, {2,33}, {17,35}, {24,56}, {21,53}, {11,29}, {10,56}, {15,57}, {6,29}, {11,27}, {24,58}, {10,47}, {19,40}, {12,28}, {19,31}, {2,25}, {4,43}, {21,40}, {16,48}, {15,32}, {23,45}, {8,30}, {7,59}, {23,38}, {9,33}, {13,59}, {7,45}, {8,46}, {8,37}, {24,46}, {5,41}, {6,60}, {16,60}, {21,38}, {23,31}, {12,26}, {13,30}, {17,59}, {23,36}, {11,39}, {6,49}, {12,31}, {20,29}, {23,28}, {17,26}, {2,48}, {20,39}, {5,37}, {24,47}, {21,50}, {16,25}, {9,56}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,36}, {19,42}, {12,37}, {13,51}, {23,58}, {15,45}, {7,56}, {8,38}, {18,57}, {20,55}, {5,50}, {12,52}, {4,49}, {17,36}, {2,29}, {5,34}, {18,47}, {1,38}, {14,32}, {2,36}, {13,41}, {22,34}, {24,37}, {1,43}, {12,49}, {9,39}, {18,26}, {7,54}, {5,54}, {18,33}, {18,36}, {22,43}, {10,59}, {5,27}, {16,59}, {19,46}, {3,43}, {14,46}, {20,41}, {2,39}, {1,42}, {22,59}, {7,60}, {19,38}, {3,31}, {12,27}, {19,47}, {18,55}, {13,49}, {6,27}, {9,58}, {14,34}, {15,50}, {17,29}, {14,54}, {14,60}, {20,25}, {4,60}, {22,49}, {2,44}, {8,50}, {14,28}, {12,56}, {1,55}, {18,51}, {24,53}, {4,53}, {16,29}, {11,36}, {3,55}, {1,47}, {10,57}, {22,48}, {22,26}, {16,57}, {10,36}, {14,33}, {2,51}, {15,37}, {10,38}, {10,46}, {10,58}, {22,56}, {17,51}, {21,31}, {11,48}, {10,55}, {8,41}, {24,55}, {7,46}, {3,29}, {4,45}, {12,55}, {1,51}, {22,29}, {18,54}, {20,54}, {11,44}, {4,47}, {24,39}, {8,59}, {3,25}, {11,34}, {24,59}, {21,42}, {7,35}, {11,46}, {15,60}, {15,58}, {22,30}, {12,30}, {6,30}, {7,50}, {22,44}, {7,34}, {4,57}, {9,31}, {10,44}, {7,58}, {18,25}, {15,52}, {24,25}, {13,56}, {22,31}, {13,50}, {13,31}, {9,30}, {19,55}, {3,32}, {16,41}, {7,28}, {6,45}, {20,44}, {8,34}, {15,46}, {17,30}, {5,40}, {20,47}, {4,50}, {23,47}, {12,45}, {4,34}, {15,35}, {12,29}, {11,32}, {17,52}, {22,53}, {9,52}, {12,25}, {10,52}, {3,42}, {14,37}, {1,44}, {13,38}, {14,40}, {1,48}, {7,49}, {9,41}, {16,45}, {3,41}, {23,34}, {4,36}, {15,39}, {1,54}, {22,52}, {4,59}, {24,29}, {21,39}, {7,52}, {20,60}, {6,43}, {6,37}, {8,32}, {22,39}, {24,27}, {10,28}, {20,48}, {3,60}, {2,54}, {2,41}, {17,41}, {12,43}, {20,32}, {2,26}, {3,53}, {17,50}, {1,60}, {23,37}, {18,30}, {23,57}, {22,38}, {13,44}, {14,58}, {8,27}, {4,55}, {3,33}, {20,50}, {23,32}, {14,51}, {11,30}, {19,33}, {9,28}, {16,53}, {19,43}, {11,47}, {19,60}, {3,56}, {2,31}, {20,53}, {16,27}, {5,26}, {19,25}, {24,57}, {4,42}, {5,29}, {16,50}, {12,53}, {23,55}, {14,30}, {3,28}, {8,33}, {12,39}, {12,58}, {5,47}, {17,34}, {21,35}, {18,49}, {7,51}, {14,49}, {11,31}, {20,33}, {21,44}, {1,53}, {5,51}, {13,34}, {24,52}, {6,26}, {22,27}, {13,35}, {21,43}, {7,42}, {2,50}, {6,41}, {23,49}, {10,53}, {21,29}, {17,40}, {24,44}, {9,60}, {8,44}, {19,36}, {23,30}, {19,58}, {6,42}, {4,35}, {21,48}, {21,51}, {19,32}, {18,43}, {23,46}, {1,56}, {1,50}, {11,37}, {2,47}, {16,35}, {14,42}, {10,34}, {16,33}, {17,53}, {3,40}, {10,45}, {17,27}, {2,40}, {8,54}, {21,56}, {9,45}, {16,54}, {13,28}, {1,28}, {20,56}, {23,25}, {16,52}, {9,27}, {7,38}, {2,38}, {12,32}, {10,43}, {21,36}, {6,55}, {6,53}, {7,44}, {9,49}, {18,40}, {9,40}, {19,51}, {18,60}, {5,25}, {4,52}, {22,36}, {1,46}, {8,39}, {9,42}, {5,36}, {6,35}, {23,26}, {13,52}, {17,43}, {21,26}, {22,28}, {1,58}, {18,42}, {4,48}, {7,57}, {2,32}, {6,33}, {18,34}, {17,49}, {11,26}, {19,54}, {5,48}, {17,48}, {5,33}, {18,37}, {5,30}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.239 // Bipartite(24,36) Valencies [18,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[60][238]:={ {15,33}, {11,40}, {15,38}, {14,36}, {6,59}, {11,49}, {5,38}, {23,29}, {16,51}, {19,26}, {11,25}, {3,58}, {5,59}, {23,53}, {5,45}, {3,26}, {22,40}, {1,49}, {13,37}, {14,38}, {15,44}, {11,43}, {15,54}, {2,35}, {8,40}, {5,57}, {16,58}, {20,46}, {10,33}, {21,30}, {11,57}, {16,55}, {24,32}, {24,54}, {11,53}, {14,56}, {21,54}, {17,56}, {3,39}, {16,37}, {19,37}, {20,37}, {16,28}, {1,35}, {15,41}, {8,31}, {20,52}, {24,48}, {6,58}, {14,57}, {14,29}, {13,40}, {14,44}, {6,32}, {17,35}, {24,56}, {4,38}, {3,49}, {21,53}, {10,56}, {10,42}, {6,29}, {10,47}, {19,40}, {20,38}, {2,34}, {22,55}, {19,31}, {22,37}, {21,40}, {16,48}, {23,45}, {4,30}, {7,59}, {12,46}, {9,33}, {20,43}, {7,45}, {8,46}, {9,57}, {24,46}, {8,52}, {7,41}, {23,31}, {13,30}, {7,27}, {4,58}, {6,39}, {11,39}, {6,49}, {12,40}, {19,48}, {17,26}, {2,48}, {20,39}, {22,25}, {5,37}, {19,52}, {21,50}, {18,35}, {9,56}, {20,35}, {1,36}, {1,29}, {23,42}, {13,51}, {16,34}, {16,43}, {24,26}, {13,58}, {20,55}, {13,26}, {17,47}, {5,50}, {12,52}, {4,49}, {17,36}, {2,29}, {5,34}, {18,47}, {18,46}, {1,26}, {2,36}, {13,41}, {16,40}, {20,42}, {10,51}, {24,37}, {12,49}, {9,39}, {11,51}, {8,42}, {18,26}, {18,33}, {22,43}, {23,60}, {3,38}, {10,59}, {15,28}, {5,28}, {18,56}, {21,55}, {14,46}, {2,39}, {9,59}, {3,47}, {1,42}, {22,59}, {7,32}, {7,60}, {19,56}, {19,38}, {1,31}, {12,27}, {6,27}, {2,30}, {5,53}, {11,42}, {17,57}, {9,58}, {15,50}, {17,29}, {11,60}, {14,60}, {4,32}, {2,44}, {1,30}, {8,56}, {12,56}, {12,47}, {23,39}, {23,40}, {1,55}, {24,53}, {16,29}, {13,48}, {3,55}, {9,51}, {16,57}, {10,36}, {14,33}, {20,51}, {10,58}, {15,34}, {21,25}, {17,51}, {17,58}, {8,47}, {4,41}, {8,41}, {17,54}, {7,46}, {11,58}, {11,52}, {13,36}, {1,41}, {4,45}, {1,59}, {9,54}, {12,41}, {20,54}, {11,44}, {20,31}, {3,25}, {23,48}, {11,34}, {17,55}, {24,59}, {21,42}, {19,45}, {11,46}, {22,30}, {2,27}, {6,30}, {7,34}, {10,31}, {10,44}, {15,52}, {24,25}, {17,46}, {23,51}, {13,56}, {1,25}, {22,31}, {22,50}, {13,50}, {23,56}, {20,30}, {24,38}, {8,53}, {3,32}, {18,44}, {22,45}, {16,41}, {17,44}, {14,52}, {9,25}, {4,50}, {16,30}, {21,60}, {12,45}, {4,34}, {15,35}, {17,38}, {6,31}, {11,32}, {21,32}, {12,25}, {14,43}, {3,42}, {15,40}, {13,57}, {14,37}, {1,44}, {15,49}, {23,27}, {24,35}, {10,54}, {21,59}, {7,49}, {24,43}, {3,41}, {4,36}, {4,29}, {9,44}, {24,29}, {7,52}, {19,29}, {6,37}, {8,32}, {22,39}, {24,27}, {24,51}, {6,57}, {10,28}, {5,31}, {4,44}, {7,40}, {17,50}, {18,41}, {14,55}, {14,47}, {18,30}, {2,28}, {22,38}, {8,36}, {14,58}, {21,46}, {23,52}, {6,47}, {3,48}, {16,36}, {1,45}, {20,50}, {19,59}, {3,50}, {19,33}, {19,39}, {9,28}, {4,27}, {18,28}, {15,29}, {18,52}, {19,60}, {2,31}, {16,38}, {21,33}, {20,53}, {8,58}, {12,36}, {3,45}, {2,53}, {5,26}, {19,25}, {7,47}, {4,42}, {12,53}, {10,41}, {4,25}, {23,55}, {14,30}, {3,28}, {7,31}, {12,33}, {8,33}, {12,39}, {5,47}, {2,57}, {3,57}, {20,27}, {15,55}, {18,49}, {7,51}, {14,49}, {15,47}, {22,33}, {11,31}, {1,53}, {19,35}, {13,34}, {24,52}, {17,60}, {6,26}, {1,34}, {13,35}, {21,43}, {7,42}, {2,50}, {21,27}, {6,41}, {21,29}, {17,40}, {12,34}, {9,60}, {8,44}, {23,30}, {6,28}, {4,35}, {21,48}, {19,32}, {18,43}, {15,51}, {13,54}, {20,45}, {10,60}, {23,33}, {11,28}, {2,47}, {5,55}, {10,27}, {16,33}, {13,60}, {10,45}, {8,54}, {9,45}, {12,59}, {18,50}, {12,57}, {16,54}, {22,46}, {13,28}, {20,56}, {16,52}, {3,27}, {9,27}, {5,42}, {2,38}, {2,59}, {23,50}, {22,35}, {10,43}, {6,55}, {6,53}, {8,28}, {9,49}, {7,43}, {19,51}, {24,42}, {18,60}, {5,44}, {22,54}, {5,25}, {12,54}, {9,53}, {15,26}, {9,43}, {3,37}, {8,39}, {22,32}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {7,36}, {6,35}, {22,60}, {23,26}, {14,48}, {21,26}, {1,37}, {1,58}, {8,25}, {4,48}, {7,57}, {2,32}, {18,34}, {17,49}, {18,48}, {5,48}, {18,37} }; // ETB60.240 // Bipartite(24,36) Valencies [18,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37279673854558870461795532800000000 EdgesBipt[60][239]:={ {24,34}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {15,59}, {9,32}, {6,25}, {5,56}, {16,51}, {11,59}, {8,51}, {5,45}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {5,57}, {16,58}, {3,35}, {20,46}, {10,33}, {15,27}, {16,55}, {24,54}, {21,41}, {2,49}, {17,56}, {14,45}, {3,39}, {15,56}, {20,58}, {21,28}, {5,32}, {4,51}, {8,31}, {2,46}, {6,58}, {14,57}, {14,29}, {23,44}, {13,40}, {2,33}, {4,38}, {21,53}, {11,35}, {10,42}, {6,29}, {11,27}, {24,58}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {22,37}, {2,25}, {4,43}, {21,40}, {16,42}, {1,52}, {15,32}, {4,30}, {7,59}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {9,57}, {24,46}, {5,41}, {12,38}, {23,31}, {12,26}, {7,27}, {4,58}, {12,42}, {23,36}, {11,39}, {6,49}, {10,26}, {22,42}, {12,31}, {3,52}, {19,48}, {23,28}, {5,60}, {24,30}, {18,58}, {20,39}, {22,25}, {5,37}, {19,52}, {24,50}, {24,47}, {9,56}, {24,31}, {20,35}, {23,43}, {1,36}, {1,29}, {16,34}, {6,46}, {7,56}, {16,43}, {24,26}, {8,38}, {18,57}, {20,55}, {17,36}, {2,29}, {18,46}, {13,41}, {20,42}, {22,34}, {18,29}, {22,58}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {18,26}, {18,33}, {23,60}, {16,59}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {7,32}, {7,60}, {19,56}, {3,31}, {12,27}, {19,47}, {3,51}, {13,49}, {2,30}, {5,53}, {17,57}, {14,34}, {3,36}, {17,29}, {11,60}, {14,54}, {22,49}, {21,45}, {19,27}, {8,50}, {12,47}, {23,39}, {23,40}, {11,36}, {13,48}, {3,55}, {10,57}, {22,26}, {14,33}, {20,51}, {10,38}, {10,46}, {10,58}, {13,25}, {21,25}, {11,48}, {8,47}, {24,55}, {18,38}, {21,37}, {3,59}, {11,52}, {13,36}, {1,41}, {12,55}, {13,53}, {21,57}, {22,29}, {18,54}, {20,54}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {24,39}, {8,59}, {23,48}, {24,59}, {17,28}, {7,35}, {15,60}, {5,52}, {22,30}, {12,30}, {6,30}, {10,29}, {18,25}, {15,52}, {23,51}, {13,56}, {1,25}, {22,50}, {23,56}, {23,35}, {20,30}, {24,38}, {19,55}, {3,32}, {22,45}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {20,47}, {4,50}, {23,47}, {16,30}, {21,60}, {4,34}, {10,25}, {15,35}, {1,57}, {11,32}, {17,52}, {22,53}, {9,52}, {21,32}, {16,26}, {15,40}, {22,57}, {13,57}, {14,37}, {1,44}, {23,27}, {24,35}, {10,54}, {19,44}, {1,48}, {24,43}, {9,41}, {16,31}, {20,59}, {23,59}, {7,39}, {15,39}, {22,41}, {1,32}, {9,44}, {4,59}, {7,52}, {6,37}, {24,27}, {24,51}, {6,57}, {17,25}, {3,60}, {2,54}, {21,49}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {2,26}, {18,41}, {1,60}, {11,56}, {18,30}, {21,52}, {22,38}, {13,44}, {14,58}, {8,27}, {2,45}, {23,52}, {4,55}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {19,59}, {19,39}, {9,28}, {4,27}, {19,43}, {7,55}, {16,46}, {11,47}, {4,46}, {19,60}, {8,43}, {3,56}, {16,38}, {1,33}, {21,33}, {8,58}, {16,27}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {23,55}, {14,30}, {3,28}, {7,31}, {12,39}, {12,58}, {2,57}, {6,54}, {20,27}, {15,55}, {18,49}, {15,47}, {14,49}, {7,51}, {22,33}, {11,31}, {21,44}, {15,48}, {1,53}, {19,35}, {17,60}, {6,26}, {2,50}, {6,41}, {10,53}, {21,29}, {17,40}, {12,34}, {9,60}, {19,36}, {6,42}, {4,35}, {21,48}, {19,32}, {13,33}, {15,51}, {18,53}, {14,25}, {5,49}, {1,56}, {20,34}, {11,28}, {8,55}, {16,35}, {14,42}, {10,34}, {17,53}, {3,40}, {13,60}, {8,35}, {10,45}, {8,54}, {21,56}, {17,45}, {9,45}, {12,59}, {14,41}, {18,50}, {4,26}, {16,54}, {22,46}, {16,39}, {17,37}, {13,28}, {1,28}, {3,27}, {2,38}, {15,36}, {21,36}, {15,31}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {19,51}, {24,42}, {5,44}, {22,54}, {5,25}, {12,54}, {9,53}, {14,53}, {8,39}, {5,36}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {13,52}, {6,50}, {1,37}, {2,42}, {18,42}, {6,33}, {18,34}, {12,51}, {17,49}, {9,48}, {5,48}, {17,48}, {5,33}, {2,58}, {18,37}, {4,54}, {10,49}, {9,37} }; // ETB60.241 // Bipartite(24,36) Valencies [18,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 79529970889725590318497136640000 EdgesBipt[60][240]:={ {6,52}, {15,33}, {18,45}, {11,40}, {15,59}, {6,25}, {5,56}, {19,26}, {4,28}, {5,43}, {2,55}, {5,59}, {11,59}, {8,51}, {19,57}, {8,26}, {22,40}, {1,49}, {13,37}, {14,38}, {11,43}, {14,50}, {2,35}, {16,58}, {3,35}, {20,46}, {14,31}, {15,27}, {24,32}, {21,41}, {24,36}, {17,56}, {6,48}, {3,39}, {19,37}, {16,28}, {20,58}, {5,32}, {7,30}, {15,41}, {8,31}, {4,40}, {2,46}, {6,56}, {24,48}, {10,48}, {23,44}, {24,28}, {6,32}, {17,35}, {24,56}, {4,38}, {3,49}, {21,53}, {11,35}, {10,56}, {15,57}, {10,42}, {6,29}, {11,27}, {20,38}, {2,34}, {20,26}, {12,28}, {12,48}, {16,42}, {16,48}, {18,32}, {4,30}, {8,30}, {9,33}, {20,43}, {7,45}, {8,46}, {9,57}, {6,60}, {17,39}, {16,60}, {7,41}, {23,31}, {13,30}, {17,59}, {4,58}, {23,36}, {11,39}, {6,49}, {10,26}, {22,42}, {7,33}, {12,40}, {23,28}, {5,60}, {20,39}, {24,45}, {13,42}, {20,35}, {23,43}, {9,35}, {1,29}, {19,42}, {12,37}, {16,34}, {15,45}, {6,44}, {13,58}, {8,38}, {18,57}, {20,55}, {13,26}, {17,47}, {9,47}, {12,52}, {17,36}, {1,38}, {1,26}, {13,41}, {16,40}, {20,42}, {22,34}, {24,37}, {18,29}, {22,58}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {7,54}, {18,33}, {18,36}, {23,60}, {5,27}, {19,46}, {3,43}, {5,28}, {18,56}, {21,55}, {24,41}, {14,46}, {2,39}, {9,59}, {24,40}, {14,35}, {3,47}, {1,42}, {19,38}, {3,31}, {3,51}, {13,49}, {7,37}, {7,53}, {2,30}, {5,35}, {14,34}, {19,49}, {11,60}, {14,54}, {4,32}, {4,60}, {1,30}, {21,45}, {8,50}, {12,56}, {6,36}, {23,39}, {23,40}, {24,53}, {11,36}, {3,55}, {9,51}, {22,48}, {21,47}, {22,26}, {10,36}, {2,51}, {15,37}, {20,51}, {10,38}, {10,46}, {10,58}, {22,56}, {9,55}, {13,25}, {21,25}, {17,51}, {14,39}, {21,31}, {11,48}, {19,30}, {8,47}, {21,37}, {7,46}, {3,59}, {3,29}, {11,52}, {17,31}, {1,41}, {13,53}, {21,57}, {12,41}, {20,54}, {11,44}, {13,45}, {20,31}, {8,59}, {3,25}, {23,48}, {17,55}, {17,28}, {19,45}, {16,56}, {2,43}, {5,52}, {22,30}, {2,27}, {7,50}, {22,44}, {7,34}, {9,31}, {10,44}, {7,58}, {18,25}, {24,25}, {15,53}, {23,51}, {1,25}, {22,50}, {13,50}, {23,56}, {23,35}, {20,30}, {5,39}, {14,27}, {18,44}, {6,45}, {17,44}, {19,41}, {13,29}, {8,34}, {9,25}, {10,30}, {5,40}, {20,47}, {4,50}, {23,47}, {16,30}, {12,45}, {4,34}, {15,35}, {12,29}, {1,57}, {11,32}, {17,52}, {12,25}, {16,26}, {10,52}, {14,43}, {19,50}, {13,57}, {13,38}, {15,49}, {23,27}, {10,54}, {21,59}, {19,53}, {7,49}, {9,41}, {20,59}, {23,59}, {3,41}, {4,36}, {15,39}, {1,54}, {22,52}, {24,29}, {21,39}, {19,29}, {6,37}, {6,57}, {10,28}, {5,31}, {19,34}, {16,44}, {4,44}, {2,54}, {21,49}, {24,60}, {2,26}, {3,53}, {18,41}, {10,40}, {14,55}, {7,29}, {11,56}, {14,47}, {22,38}, {14,58}, {24,49}, {8,27}, {23,52}, {3,33}, {16,36}, {14,26}, {1,45}, {10,50}, {20,50}, {23,32}, {14,51}, {19,33}, {16,46}, {18,28}, {11,47}, {15,29}, {14,59}, {4,46}, {18,52}, {8,43}, {2,31}, {16,38}, {1,33}, {21,33}, {8,58}, {12,36}, {3,45}, {12,44}, {19,25}, {24,57}, {4,42}, {16,50}, {12,53}, {23,55}, {14,30}, {12,33}, {5,47}, {3,57}, {20,27}, {21,35}, {15,55}, {18,49}, {15,47}, {11,31}, {1,53}, {12,60}, {5,51}, {13,34}, {24,52}, {17,60}, {7,25}, {1,34}, {21,43}, {7,42}, {2,50}, {21,27}, {6,41}, {21,29}, {17,40}, {24,44}, {6,28}, {19,58}, {21,51}, {13,33}, {15,51}, {18,53}, {13,54}, {20,34}, {7,26}, {1,50}, {10,60}, {11,28}, {2,47}, {8,55}, {5,55}, {14,42}, {10,34}, {8,35}, {17,27}, {8,54}, {9,45}, {4,26}, {12,57}, {16,54}, {22,46}, {16,52}, {3,27}, {9,27}, {7,38}, {2,38}, {2,59}, {12,32}, {15,31}, {6,53}, {9,49}, {18,40}, {11,55}, {18,60}, {5,44}, {22,54}, {9,53}, {4,52}, {22,36}, {9,43}, {1,46}, {3,37}, {8,39}, {22,32}, {5,36}, {24,33}, {10,32}, {13,46}, {15,43}, {17,32}, {22,60}, {17,43}, {22,28}, {1,37}, {1,58}, {2,42}, {4,48}, {16,32}, {7,57}, {6,33}, {18,48}, {19,54}, {5,48}, {17,48}, {2,58}, {15,25}, {18,37}, {4,56}, {4,54}, {9,37}, {6,40} }; // ETB60.242 // Bipartite(24,36) Valencies [18,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 898537498229876981760000000000 EdgesBipt[60][241]:={ {24,34}, {15,33}, {6,52}, {6,38}, {10,37}, {16,47}, {15,38}, {15,59}, {6,25}, {23,29}, {19,26}, {4,28}, {5,43}, {2,55}, {23,53}, {11,59}, {19,57}, {5,45}, {3,26}, {22,40}, {1,49}, {13,37}, {14,38}, {13,39}, {17,42}, {15,44}, {14,50}, {17,33}, {8,40}, {5,57}, {16,58}, {3,35}, {20,46}, {21,30}, {11,57}, {14,31}, {15,27}, {24,54}, {24,36}, {11,53}, {2,49}, {14,56}, {21,54}, {3,39}, {15,56}, {16,28}, {20,58}, {15,41}, {4,40}, {20,52}, {2,46}, {6,56}, {13,43}, {24,48}, {6,58}, {13,27}, {23,44}, {24,28}, {14,44}, {6,32}, {11,35}, {11,29}, {10,56}, {15,57}, {11,27}, {24,58}, {2,34}, {22,55}, {12,28}, {22,37}, {2,25}, {12,48}, {16,42}, {16,48}, {18,32}, {15,32}, {2,52}, {23,45}, {4,30}, {7,59}, {8,30}, {23,38}, {12,46}, {9,33}, {7,45}, {8,46}, {9,57}, {24,46}, {17,39}, {8,52}, {16,60}, {7,41}, {13,30}, {7,27}, {4,58}, {12,42}, {11,39}, {6,49}, {10,26}, {7,33}, {12,40}, {20,29}, {5,60}, {24,30}, {18,58}, {22,25}, {5,37}, {24,47}, {13,55}, {13,42}, {20,35}, {1,36}, {13,51}, {16,34}, {2,56}, {6,46}, {15,45}, {7,56}, {6,44}, {12,52}, {17,36}, {18,46}, {14,32}, {20,36}, {16,40}, {20,42}, {22,34}, {22,58}, {9,36}, {6,34}, {1,43}, {11,51}, {9,39}, {8,42}, {18,26}, {5,54}, {22,43}, {3,38}, {5,27}, {16,59}, {18,56}, {21,55}, {24,41}, {14,46}, {20,41}, {24,40}, {3,47}, {1,42}, {7,32}, {19,56}, {19,38}, {1,31}, {19,47}, {3,51}, {18,55}, {1,39}, {13,49}, {7,53}, {17,57}, {14,34}, {15,50}, {8,48}, {4,60}, {22,49}, {2,44}, {1,30}, {21,45}, {19,27}, {14,28}, {12,47}, {23,39}, {1,55}, {24,53}, {4,53}, {16,29}, {13,48}, {9,51}, {22,26}, {10,38}, {10,46}, {10,58}, {11,33}, {22,56}, {8,60}, {9,55}, {13,25}, {21,25}, {17,51}, {21,31}, {10,55}, {8,47}, {4,41}, {8,41}, {17,54}, {18,38}, {21,37}, {3,59}, {3,29}, {17,31}, {13,36}, {1,51}, {21,57}, {9,54}, {12,41}, {20,54}, {11,44}, {13,45}, {4,47}, {3,44}, {8,59}, {17,55}, {24,59}, {21,42}, {7,35}, {19,45}, {2,43}, {12,30}, {7,50}, {22,44}, {10,31}, {9,31}, {10,44}, {18,25}, {15,53}, {23,51}, {1,25}, {22,31}, {22,50}, {23,56}, {23,35}, {20,30}, {13,31}, {9,30}, {5,39}, {8,53}, {3,32}, {18,44}, {16,41}, {19,41}, {8,34}, {14,52}, {9,25}, {17,30}, {20,47}, {23,47}, {16,30}, {21,60}, {4,34}, {10,25}, {15,35}, {12,29}, {1,57}, {6,31}, {11,32}, {10,52}, {14,43}, {19,50}, {13,57}, {14,37}, {23,27}, {24,35}, {19,53}, {18,31}, {19,44}, {14,40}, {1,48}, {20,59}, {23,59}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {1,54}, {22,52}, {4,59}, {24,29}, {21,39}, {20,60}, {19,29}, {6,43}, {6,37}, {10,28}, {5,31}, {17,25}, {20,48}, {21,49}, {24,60}, {2,26}, {3,53}, {10,40}, {14,55}, {1,60}, {7,29}, {11,56}, {2,28}, {8,29}, {23,57}, {22,38}, {8,36}, {14,58}, {3,33}, {16,36}, {14,26}, {1,45}, {10,50}, {23,32}, {19,59}, {3,50}, {19,33}, {19,39}, {16,53}, {16,46}, {18,28}, {15,29}, {11,47}, {4,46}, {18,52}, {3,56}, {2,31}, {11,45}, {1,33}, {20,28}, {21,33}, {20,53}, {8,58}, {12,36}, {3,45}, {7,47}, {2,37}, {4,42}, {12,53}, {12,58}, {3,57}, {18,49}, {15,47}, {14,49}, {7,51}, {12,60}, {19,35}, {5,51}, {24,52}, {11,41}, {17,60}, {6,26}, {21,43}, {2,50}, {21,27}, {12,34}, {9,60}, {6,28}, {4,35}, {21,48}, {21,51}, {19,32}, {13,33}, {18,43}, {15,51}, {14,25}, {5,49}, {13,54}, {20,34}, {7,26}, {23,33}, {16,35}, {5,55}, {10,34}, {13,60}, {8,35}, {17,27}, {2,40}, {8,54}, {17,45}, {9,45}, {12,59}, {18,50}, {16,54}, {22,46}, {17,37}, {16,52}, {3,27}, {9,27}, {7,38}, {5,42}, {2,38}, {23,50}, {10,43}, {21,36}, {6,55}, {7,44}, {8,28}, {9,49}, {18,40}, {19,51}, {24,42}, {20,40}, {1,27}, {5,25}, {12,54}, {15,26}, {4,52}, {9,43}, {22,32}, {9,42}, {23,41}, {5,36}, {10,32}, {12,35}, {11,50}, {23,26}, {17,43}, {6,50}, {22,28}, {1,37}, {4,48}, {7,57}, {2,32}, {18,34}, {17,49}, {11,26}, {9,48}, {5,48}, {17,48}, {5,33}, {2,58}, {18,37}, {5,30}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.243 // Bipartite(24,36) Valencies [18,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11231718727873462272000000 EdgesBipt[60][242]:={ {24,34}, {6,52}, {7,48}, {6,38}, {10,37}, {15,59}, {11,49}, {23,29}, {19,26}, {11,25}, {2,55}, {5,59}, {23,53}, {19,57}, {5,45}, {2,60}, {3,26}, {8,26}, {22,40}, {1,49}, {14,38}, {13,39}, {11,43}, {14,50}, {15,54}, {2,35}, {17,33}, {4,31}, {8,40}, {5,57}, {16,58}, {11,57}, {24,32}, {24,54}, {21,41}, {24,36}, {14,56}, {2,49}, {14,45}, {3,39}, {19,37}, {20,37}, {16,28}, {21,28}, {1,35}, {7,30}, {15,41}, {4,37}, {6,56}, {24,48}, {6,58}, {14,57}, {13,27}, {10,48}, {24,28}, {13,40}, {14,44}, {6,32}, {17,35}, {24,56}, {4,38}, {3,49}, {21,53}, {10,42}, {11,27}, {24,58}, {10,47}, {20,38}, {20,26}, {19,31}, {2,25}, {12,48}, {4,43}, {21,40}, {16,42}, {16,48}, {4,30}, {7,59}, {8,30}, {9,33}, {20,43}, {13,59}, {8,46}, {9,57}, {24,46}, {5,41}, {17,39}, {8,52}, {16,60}, {12,38}, {7,41}, {20,49}, {12,26}, {17,59}, {23,54}, {12,42}, {6,39}, {23,36}, {11,39}, {12,31}, {23,28}, {13,47}, {24,30}, {2,48}, {15,30}, {24,50}, {18,35}, {9,35}, {1,29}, {23,42}, {12,37}, {13,51}, {16,34}, {6,46}, {23,58}, {10,35}, {6,44}, {24,26}, {13,58}, {8,38}, {20,55}, {17,47}, {9,47}, {4,49}, {2,29}, {5,34}, {18,47}, {14,32}, {2,36}, {13,41}, {20,36}, {16,40}, {20,42}, {22,34}, {18,29}, {22,58}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {7,54}, {18,36}, {6,51}, {23,60}, {3,38}, {10,59}, {5,27}, {18,59}, {3,43}, {15,28}, {5,28}, {14,46}, {9,59}, {24,40}, {7,60}, {19,56}, {19,38}, {1,31}, {3,31}, {3,51}, {18,55}, {1,39}, {6,27}, {7,53}, {5,53}, {2,30}, {17,57}, {5,35}, {14,34}, {19,49}, {17,29}, {8,48}, {20,25}, {4,32}, {4,60}, {21,45}, {8,56}, {19,27}, {8,50}, {14,28}, {12,56}, {23,40}, {1,55}, {3,55}, {9,51}, {1,47}, {21,47}, {22,26}, {10,36}, {14,33}, {15,34}, {11,33}, {22,56}, {8,60}, {9,55}, {17,51}, {14,39}, {10,55}, {7,46}, {17,31}, {1,41}, {12,55}, {1,51}, {1,59}, {13,53}, {21,57}, {18,54}, {20,54}, {11,44}, {13,45}, {3,44}, {20,31}, {3,25}, {23,48}, {17,55}, {7,35}, {19,45}, {15,60}, {16,56}, {2,43}, {5,52}, {15,58}, {12,30}, {22,44}, {7,34}, {10,31}, {9,31}, {10,29}, {7,58}, {18,25}, {15,52}, {15,53}, {1,25}, {22,50}, {23,35}, {20,30}, {5,39}, {24,38}, {19,55}, {3,32}, {14,27}, {22,45}, {7,28}, {6,45}, {20,44}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {10,30}, {5,40}, {4,50}, {21,58}, {23,47}, {16,30}, {10,25}, {15,35}, {1,57}, {11,32}, {12,25}, {16,26}, {15,40}, {19,50}, {22,57}, {13,57}, {10,54}, {21,59}, {18,31}, {19,44}, {14,40}, {9,41}, {23,59}, {23,34}, {4,36}, {22,52}, {21,39}, {7,52}, {20,60}, {8,32}, {22,39}, {6,57}, {17,25}, {20,48}, {16,44}, {4,44}, {2,54}, {24,60}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {20,32}, {18,41}, {7,29}, {11,56}, {18,30}, {21,52}, {22,38}, {8,36}, {14,58}, {21,46}, {23,52}, {5,46}, {4,55}, {3,33}, {16,36}, {14,26}, {1,45}, {20,50}, {14,51}, {3,50}, {19,33}, {19,39}, {19,43}, {16,46}, {15,29}, {3,56}, {2,31}, {16,38}, {11,45}, {1,33}, {21,33}, {5,58}, {8,58}, {12,36}, {3,45}, {2,53}, {12,44}, {19,25}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {4,25}, {21,34}, {5,47}, {3,57}, {21,35}, {18,49}, {15,47}, {22,33}, {11,31}, {1,53}, {15,48}, {12,60}, {5,51}, {13,34}, {24,52}, {6,26}, {15,42}, {22,27}, {22,51}, {13,35}, {7,42}, {21,27}, {10,53}, {21,29}, {24,44}, {8,44}, {23,30}, {6,28}, {21,51}, {19,32}, {13,33}, {18,43}, {23,46}, {18,53}, {10,60}, {11,37}, {2,47}, {17,53}, {17,27}, {8,54}, {17,45}, {9,45}, {4,26}, {16,54}, {22,46}, {17,37}, {13,28}, {20,56}, {16,52}, {3,27}, {9,27}, {2,59}, {12,32}, {15,36}, {10,43}, {8,28}, {9,49}, {11,55}, {19,51}, {24,42}, {18,60}, {1,27}, {12,54}, {9,53}, {9,43}, {3,37}, {22,32}, {23,41}, {13,46}, {7,36}, {11,50}, {13,52}, {17,43}, {6,50}, {22,28}, {1,37}, {2,42}, {18,42}, {4,48}, {16,32}, {6,33}, {17,49}, {18,48}, {11,26}, {5,33}, {18,37}, {4,56}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.244 // Bipartite(24,36) Valencies [18,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 701982420492091392 EdgesBipt[60][243]:={ {24,34}, {15,33}, {18,45}, {10,37}, {15,38}, {15,59}, {8,57}, {14,36}, {6,25}, {23,29}, {19,26}, {4,28}, {5,59}, {23,53}, {11,59}, {5,45}, {2,60}, {3,26}, {8,26}, {1,49}, {13,37}, {1,40}, {13,39}, {15,44}, {11,43}, {4,31}, {5,57}, {16,58}, {3,35}, {20,46}, {10,33}, {21,30}, {14,31}, {24,54}, {24,36}, {14,56}, {2,49}, {21,54}, {10,39}, {6,48}, {3,39}, {15,56}, {20,58}, {1,35}, {4,51}, {15,41}, {4,40}, {20,52}, {6,56}, {24,48}, {13,27}, {14,29}, {10,48}, {23,44}, {14,44}, {2,33}, {6,32}, {17,35}, {4,38}, {11,35}, {10,56}, {15,57}, {6,29}, {11,27}, {24,58}, {20,38}, {20,26}, {22,55}, {12,28}, {19,31}, {22,37}, {2,25}, {12,48}, {4,43}, {16,42}, {1,52}, {16,48}, {18,32}, {15,32}, {2,52}, {23,45}, {8,30}, {7,59}, {23,38}, {12,46}, {20,43}, {13,59}, {7,45}, {8,46}, {24,46}, {6,60}, {16,60}, {12,38}, {7,41}, {12,26}, {13,30}, {17,59}, {4,58}, {11,39}, {6,49}, {22,42}, {7,33}, {12,31}, {12,40}, {23,28}, {13,47}, {24,30}, {2,48}, {20,39}, {22,25}, {5,37}, {24,50}, {24,45}, {13,42}, {9,35}, {1,29}, {19,42}, {13,51}, {16,34}, {2,56}, {7,56}, {15,45}, {6,44}, {18,39}, {24,26}, {13,58}, {8,38}, {18,57}, {20,55}, {17,47}, {9,47}, {12,52}, {5,34}, {14,32}, {2,36}, {20,36}, {10,51}, {1,43}, {9,29}, {11,51}, {8,42}, {5,54}, {18,33}, {18,36}, {22,43}, {3,38}, {5,27}, {3,43}, {15,28}, {18,56}, {24,41}, {2,39}, {9,59}, {9,46}, {3,47}, {7,32}, {19,56}, {19,38}, {1,31}, {3,31}, {12,27}, {19,47}, {3,51}, {13,49}, {7,53}, {11,42}, {9,58}, {5,35}, {15,50}, {17,29}, {8,48}, {14,54}, {14,60}, {4,60}, {22,49}, {2,44}, {21,45}, {19,27}, {8,50}, {6,36}, {23,40}, {1,55}, {18,51}, {24,53}, {16,29}, {3,30}, {3,55}, {1,47}, {10,57}, {22,48}, {21,47}, {16,57}, {10,36}, {2,51}, {20,51}, {22,56}, {8,60}, {9,55}, {13,25}, {21,25}, {17,58}, {19,30}, {8,41}, {21,37}, {8,45}, {3,59}, {17,31}, {1,41}, {12,55}, {1,59}, {21,57}, {22,29}, {11,44}, {13,45}, {3,44}, {20,31}, {17,55}, {17,28}, {21,42}, {7,35}, {22,30}, {2,27}, {6,30}, {7,50}, {22,44}, {9,31}, {10,44}, {18,25}, {15,52}, {17,46}, {15,53}, {1,25}, {22,31}, {23,56}, {23,35}, {5,39}, {24,38}, {8,53}, {19,55}, {3,32}, {18,44}, {16,41}, {7,28}, {8,34}, {9,25}, {4,50}, {21,58}, {23,47}, {16,30}, {4,34}, {10,25}, {15,35}, {6,31}, {11,32}, {17,52}, {22,53}, {9,52}, {11,54}, {16,26}, {10,52}, {3,42}, {14,43}, {15,40}, {19,50}, {13,57}, {14,37}, {21,59}, {19,44}, {9,41}, {16,45}, {23,59}, {4,36}, {22,41}, {24,29}, {21,39}, {7,52}, {20,60}, {6,43}, {6,37}, {10,28}, {17,25}, {20,48}, {21,49}, {24,60}, {7,40}, {12,50}, {17,41}, {12,43}, {10,40}, {14,55}, {7,29}, {11,56}, {2,28}, {8,29}, {23,57}, {8,36}, {2,45}, {21,46}, {23,52}, {5,46}, {4,55}, {16,36}, {20,50}, {23,32}, {19,59}, {11,30}, {3,50}, {19,39}, {9,28}, {16,53}, {4,27}, {19,43}, {16,46}, {18,28}, {15,29}, {11,47}, {4,46}, {18,52}, {3,56}, {16,38}, {18,27}, {20,28}, {21,33}, {5,58}, {3,54}, {8,58}, {12,36}, {7,47}, {24,57}, {2,37}, {16,50}, {14,30}, {21,34}, {8,33}, {12,39}, {12,58}, {5,47}, {2,57}, {6,54}, {17,34}, {20,27}, {21,35}, {18,49}, {14,49}, {15,47}, {11,31}, {1,53}, {12,60}, {19,35}, {5,51}, {13,34}, {1,34}, {13,35}, {21,27}, {6,41}, {17,40}, {12,34}, {6,42}, {21,51}, {19,32}, {13,33}, {14,25}, {5,49}, {13,54}, {20,34}, {7,26}, {10,60}, {23,33}, {14,42}, {10,27}, {16,33}, {17,53}, {10,45}, {2,40}, {8,54}, {14,41}, {4,26}, {16,54}, {17,37}, {1,28}, {3,27}, {7,38}, {5,42}, {23,50}, {6,55}, {6,53}, {7,44}, {9,49}, {18,40}, {9,40}, {11,55}, {19,51}, {24,42}, {18,60}, {20,40}, {22,54}, {5,25}, {9,53}, {15,26}, {4,52}, {22,36}, {9,43}, {14,53}, {1,46}, {22,32}, {23,41}, {9,34}, {24,33}, {10,32}, {13,46}, {4,39}, {11,50}, {22,60}, {23,26}, {17,43}, {14,48}, {1,37}, {1,58}, {4,48}, {7,57}, {2,32}, {12,51}, {17,49}, {18,48}, {11,26}, {19,54}, {5,33}, {18,37}, {5,30}, {11,38}, {10,49}, {9,37} }; // ETB60.245 // Bipartite(24,36) Valencies [18,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1934917632 EdgesBipt[60][244]:={ {24,34}, {18,45}, {6,38}, {11,40}, {15,38}, {15,59}, {11,49}, {6,25}, {23,29}, {19,26}, {2,55}, {5,59}, {23,53}, {19,57}, {5,45}, {2,60}, {3,26}, {8,26}, {14,38}, {17,42}, {15,44}, {11,43}, {15,54}, {2,35}, {17,33}, {8,40}, {16,58}, {3,35}, {10,33}, {21,30}, {11,57}, {14,31}, {16,55}, {24,32}, {21,41}, {2,49}, {14,56}, {21,54}, {17,56}, {10,39}, {6,48}, {16,37}, {19,37}, {16,28}, {20,58}, {21,28}, {5,32}, {4,51}, {4,40}, {20,52}, {6,56}, {24,48}, {13,27}, {14,57}, {23,44}, {24,28}, {13,40}, {2,33}, {6,32}, {24,56}, {3,49}, {21,53}, {11,35}, {11,27}, {24,58}, {19,40}, {22,55}, {22,37}, {2,25}, {12,48}, {4,43}, {21,40}, {16,42}, {16,48}, {18,32}, {2,52}, {23,45}, {7,59}, {23,38}, {9,33}, {20,43}, {13,59}, {7,45}, {8,46}, {8,37}, {9,57}, {24,46}, {5,41}, {6,60}, {17,39}, {8,52}, {16,60}, {20,49}, {23,31}, {13,30}, {23,54}, {4,58}, {12,42}, {6,39}, {23,36}, {6,49}, {12,40}, {19,48}, {20,29}, {18,58}, {20,39}, {22,25}, {24,50}, {21,50}, {18,35}, {9,56}, {20,35}, {23,43}, {1,36}, {1,29}, {23,42}, {13,51}, {16,34}, {6,46}, {10,35}, {15,45}, {18,39}, {24,26}, {13,58}, {13,26}, {17,47}, {9,47}, {12,52}, {4,49}, {5,50}, {17,36}, {2,29}, {14,32}, {2,36}, {13,41}, {16,40}, {20,42}, {24,37}, {18,29}, {9,36}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {7,54}, {5,54}, {18,33}, {18,36}, {3,38}, {10,59}, {5,27}, {16,59}, {18,59}, {3,43}, {5,28}, {14,46}, {20,41}, {2,39}, {9,46}, {24,40}, {3,47}, {1,42}, {19,38}, {1,31}, {19,47}, {3,51}, {18,55}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {17,57}, {19,49}, {17,29}, {8,48}, {14,60}, {4,60}, {22,49}, {1,30}, {21,45}, {8,56}, {19,27}, {8,50}, {14,28}, {12,56}, {24,53}, {3,30}, {9,51}, {1,47}, {22,48}, {22,26}, {10,36}, {15,37}, {20,51}, {10,38}, {10,58}, {15,34}, {22,56}, {8,60}, {13,25}, {21,25}, {17,51}, {14,39}, {11,48}, {19,30}, {10,55}, {4,41}, {24,55}, {17,54}, {18,38}, {7,46}, {17,31}, {13,36}, {1,51}, {13,53}, {9,54}, {12,41}, {11,44}, {13,45}, {3,44}, {8,59}, {11,34}, {24,59}, {17,28}, {7,35}, {19,45}, {16,56}, {22,30}, {2,27}, {6,30}, {4,33}, {7,34}, {10,31}, {9,31}, {4,57}, {10,29}, {18,25}, {15,52}, {17,46}, {15,53}, {1,25}, {22,31}, {13,50}, {23,35}, {9,30}, {8,53}, {14,27}, {19,41}, {8,34}, {9,25}, {15,46}, {17,30}, {5,40}, {4,50}, {21,58}, {23,47}, {4,34}, {10,25}, {15,35}, {12,29}, {1,57}, {6,31}, {21,32}, {11,54}, {16,26}, {10,52}, {22,57}, {14,37}, {21,59}, {18,31}, {19,44}, {23,59}, {3,41}, {23,34}, {4,29}, {1,54}, {7,52}, {20,60}, {6,37}, {8,32}, {22,39}, {6,57}, {17,25}, {20,48}, {19,34}, {16,44}, {24,60}, {2,41}, {12,50}, {12,43}, {17,50}, {18,41}, {14,55}, {23,37}, {7,29}, {14,47}, {22,38}, {13,44}, {2,45}, {23,52}, {6,47}, {3,48}, {13,32}, {14,26}, {20,50}, {11,30}, {9,28}, {3,34}, {16,53}, {19,43}, {7,55}, {20,57}, {16,46}, {11,47}, {15,29}, {18,52}, {2,31}, {11,45}, {1,33}, {18,27}, {21,33}, {5,58}, {3,54}, {8,58}, {3,45}, {5,26}, {7,47}, {4,42}, {16,50}, {10,41}, {23,55}, {14,30}, {7,31}, {12,33}, {12,39}, {12,58}, {3,57}, {15,55}, {18,49}, {14,49}, {15,47}, {20,33}, {21,44}, {1,53}, {12,60}, {19,35}, {5,51}, {24,52}, {11,41}, {9,50}, {6,26}, {15,42}, {22,27}, {7,42}, {21,27}, {24,44}, {12,34}, {8,44}, {6,28}, {4,35}, {21,51}, {13,33}, {23,46}, {14,25}, {1,56}, {13,54}, {20,34}, {1,50}, {10,60}, {11,37}, {8,55}, {10,27}, {17,53}, {3,40}, {10,45}, {12,57}, {22,46}, {13,28}, {1,28}, {20,56}, {16,52}, {3,27}, {7,38}, {2,38}, {2,59}, {15,36}, {21,36}, {15,31}, {6,55}, {7,44}, {8,28}, {7,43}, {19,51}, {24,42}, {18,60}, {20,40}, {5,44}, {5,25}, {9,53}, {4,52}, {9,43}, {22,47}, {1,46}, {3,37}, {22,32}, {9,42}, {5,36}, {10,32}, {15,43}, {4,39}, {12,35}, {7,36}, {22,60}, {17,43}, {14,48}, {21,26}, {22,28}, {4,48}, {16,32}, {2,32}, {12,51}, {11,26}, {19,54}, {5,33}, {2,58}, {4,56}, {5,30}, {11,38}, {10,49} }; // ETB60.246 // Bipartite(24,36) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1283918464548864 EdgesBipt[60][245]:={ {24,34}, {15,33}, {18,45}, {7,48}, {19,28}, {10,37}, {16,47}, {15,38}, {8,57}, {11,49}, {6,59}, {9,32}, {5,38}, {5,56}, {11,25}, {5,43}, {2,55}, {5,59}, {8,51}, {19,57}, {3,26}, {8,26}, {22,40}, {1,49}, {13,37}, {1,40}, {15,44}, {11,43}, {15,54}, {2,35}, {4,31}, {16,58}, {10,33}, {21,30}, {11,57}, {14,31}, {16,55}, {24,54}, {24,36}, {14,56}, {2,49}, {21,54}, {17,56}, {10,39}, {6,48}, {16,37}, {19,37}, {15,56}, {5,32}, {7,30}, {15,41}, {4,37}, {6,56}, {24,48}, {14,29}, {10,48}, {24,28}, {13,40}, {14,44}, {6,32}, {17,35}, {4,38}, {15,57}, {6,29}, {11,27}, {24,58}, {19,40}, {20,38}, {20,26}, {22,55}, {12,28}, {22,37}, {2,25}, {12,48}, {4,43}, {1,52}, {18,32}, {15,32}, {2,52}, {23,45}, {8,30}, {16,49}, {12,46}, {7,45}, {24,46}, {6,60}, {21,38}, {23,31}, {17,59}, {23,54}, {4,58}, {12,42}, {6,39}, {11,39}, {7,33}, {12,31}, {12,40}, {19,48}, {20,29}, {17,26}, {24,30}, {15,30}, {20,39}, {22,25}, {19,52}, {21,50}, {18,35}, {16,25}, {9,56}, {24,31}, {20,35}, {23,43}, {9,35}, {1,29}, {19,42}, {23,42}, {16,34}, {2,56}, {23,58}, {15,45}, {16,43}, {6,44}, {18,39}, {13,58}, {8,38}, {18,57}, {13,26}, {17,47}, {9,47}, {12,52}, {4,49}, {5,50}, {2,29}, {5,34}, {18,47}, {1,38}, {1,26}, {14,32}, {13,41}, {20,42}, {10,51}, {18,29}, {9,36}, {11,51}, {9,39}, {8,42}, {7,54}, {18,33}, {18,36}, {6,51}, {22,43}, {3,38}, {16,59}, {18,59}, {19,46}, {5,28}, {18,56}, {20,41}, {9,59}, {24,40}, {14,35}, {7,60}, {12,27}, {13,49}, {7,37}, {6,27}, {11,42}, {5,35}, {3,36}, {15,50}, {19,49}, {22,49}, {2,44}, {8,50}, {14,28}, {6,36}, {23,39}, {18,51}, {4,53}, {16,29}, {3,30}, {9,51}, {10,57}, {22,48}, {21,47}, {10,36}, {20,51}, {11,33}, {13,25}, {17,58}, {19,30}, {10,55}, {8,47}, {4,41}, {9,38}, {8,41}, {24,55}, {9,26}, {7,46}, {8,45}, {11,58}, {3,29}, {17,31}, {1,41}, {12,55}, {13,53}, {9,54}, {20,54}, {3,44}, {4,47}, {24,39}, {8,59}, {11,34}, {17,55}, {17,28}, {21,42}, {19,45}, {11,46}, {15,60}, {2,43}, {5,52}, {12,30}, {7,34}, {10,31}, {7,58}, {17,46}, {15,53}, {23,51}, {13,56}, {1,25}, {22,31}, {13,50}, {20,30}, {9,30}, {8,53}, {3,32}, {18,44}, {22,45}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {14,52}, {5,40}, {20,47}, {4,50}, {21,60}, {4,34}, {10,25}, {17,38}, {17,52}, {21,32}, {11,54}, {16,26}, {10,52}, {3,42}, {14,43}, {22,57}, {14,37}, {1,44}, {13,38}, {23,27}, {21,59}, {14,40}, {7,49}, {24,43}, {16,31}, {20,59}, {3,41}, {23,34}, {4,29}, {9,44}, {1,32}, {22,52}, {4,59}, {21,39}, {7,52}, {22,39}, {24,27}, {24,51}, {6,57}, {10,28}, {5,31}, {19,34}, {3,60}, {24,60}, {7,40}, {2,41}, {12,43}, {3,53}, {17,50}, {18,41}, {10,40}, {14,55}, {23,37}, {14,47}, {2,28}, {8,29}, {23,57}, {13,44}, {8,27}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {13,32}, {20,50}, {11,30}, {3,50}, {19,33}, {16,53}, {20,57}, {16,46}, {15,29}, {14,59}, {4,46}, {19,60}, {3,56}, {2,31}, {16,38}, {11,45}, {18,27}, {5,58}, {3,54}, {20,53}, {12,36}, {3,45}, {2,53}, {5,26}, {19,25}, {2,37}, {16,50}, {4,25}, {23,55}, {8,33}, {12,39}, {12,58}, {5,47}, {3,57}, {17,34}, {20,27}, {21,35}, {14,49}, {22,33}, {11,31}, {20,33}, {21,44}, {1,53}, {15,48}, {12,60}, {13,34}, {24,52}, {7,25}, {9,50}, {1,34}, {15,42}, {22,27}, {22,51}, {7,42}, {21,27}, {6,41}, {23,49}, {17,40}, {12,34}, {9,60}, {19,36}, {23,30}, {19,58}, {4,35}, {21,48}, {21,51}, {23,46}, {18,53}, {14,25}, {1,56}, {20,45}, {1,50}, {10,60}, {11,37}, {23,33}, {2,47}, {16,35}, {5,55}, {10,27}, {8,35}, {10,45}, {2,40}, {8,54}, {21,56}, {14,41}, {4,26}, {13,28}, {1,28}, {23,25}, {9,27}, {2,59}, {15,36}, {10,43}, {21,36}, {6,53}, {11,55}, {24,42}, {18,60}, {5,44}, {12,54}, {15,26}, {22,36}, {14,53}, {1,46}, {8,39}, {9,42}, {13,46}, {7,36}, {6,35}, {17,32}, {22,60}, {13,52}, {17,43}, {21,26}, {22,28}, {1,37}, {1,58}, {7,57}, {2,32}, {6,33}, {12,51}, {18,48}, {9,48}, {19,54}, {10,49} }; // ETB60.247 // Bipartite(24,36) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5135673858195456 EdgesBipt[60][246]:={ {24,34}, {15,33}, {6,52}, {18,45}, {19,28}, {11,40}, {10,37}, {16,47}, {6,59}, {5,38}, {5,56}, {16,51}, {2,55}, {3,58}, {11,59}, {8,51}, {19,57}, {5,45}, {8,26}, {14,38}, {13,39}, {15,44}, {15,54}, {14,50}, {2,35}, {17,33}, {8,40}, {5,57}, {16,58}, {21,30}, {14,31}, {24,32}, {24,54}, {21,41}, {24,36}, {2,49}, {21,54}, {17,56}, {10,39}, {14,45}, {6,48}, {16,37}, {19,37}, {15,56}, {21,28}, {5,32}, {4,51}, {15,41}, {8,31}, {4,37}, {20,52}, {13,43}, {24,48}, {13,27}, {14,57}, {10,48}, {2,33}, {24,56}, {21,53}, {11,35}, {10,56}, {15,57}, {6,29}, {11,27}, {24,58}, {19,40}, {20,38}, {20,26}, {22,55}, {22,37}, {2,25}, {12,48}, {21,40}, {16,42}, {15,32}, {4,30}, {7,59}, {8,30}, {16,49}, {23,38}, {12,46}, {20,43}, {7,45}, {24,46}, {6,60}, {8,52}, {21,38}, {7,27}, {4,58}, {12,42}, {23,36}, {11,39}, {7,33}, {12,31}, {3,52}, {23,28}, {17,26}, {5,60}, {24,30}, {15,30}, {20,39}, {22,25}, {5,37}, {19,52}, {24,47}, {21,50}, {13,55}, {18,35}, {16,25}, {24,31}, {1,29}, {13,51}, {16,34}, {23,58}, {15,45}, {7,56}, {13,58}, {8,38}, {18,57}, {20,55}, {13,26}, {5,50}, {4,49}, {17,36}, {5,34}, {18,47}, {1,38}, {1,26}, {13,41}, {20,42}, {10,51}, {18,29}, {9,36}, {1,43}, {9,29}, {11,51}, {8,42}, {18,33}, {18,36}, {22,43}, {23,60}, {16,59}, {18,59}, {15,28}, {14,35}, {7,32}, {19,56}, {1,31}, {19,47}, {18,55}, {1,39}, {7,37}, {2,30}, {17,57}, {19,49}, {11,60}, {14,54}, {22,49}, {8,56}, {19,27}, {8,50}, {12,56}, {12,47}, {6,36}, {23,39}, {23,40}, {1,55}, {4,53}, {16,29}, {11,36}, {3,30}, {22,48}, {10,36}, {14,33}, {20,51}, {15,34}, {22,56}, {21,25}, {17,58}, {11,48}, {10,55}, {4,41}, {9,38}, {24,55}, {9,26}, {21,37}, {11,58}, {11,52}, {3,29}, {1,41}, {12,55}, {1,51}, {13,53}, {22,29}, {9,54}, {20,54}, {3,44}, {13,45}, {4,47}, {20,31}, {23,48}, {11,34}, {24,59}, {21,42}, {7,35}, {19,45}, {11,46}, {2,43}, {15,58}, {12,30}, {22,44}, {10,31}, {10,44}, {10,29}, {15,52}, {17,46}, {15,53}, {23,51}, {22,31}, {13,50}, {23,35}, {20,30}, {13,31}, {9,30}, {3,32}, {16,41}, {7,28}, {6,45}, {20,44}, {17,44}, {13,29}, {9,25}, {15,46}, {23,47}, {16,30}, {21,60}, {4,34}, {10,25}, {17,38}, {1,57}, {6,31}, {22,53}, {9,52}, {15,40}, {3,42}, {14,43}, {13,57}, {14,37}, {13,38}, {23,27}, {24,35}, {18,31}, {19,44}, {7,49}, {24,43}, {9,41}, {23,59}, {7,39}, {3,41}, {23,34}, {22,41}, {4,29}, {4,59}, {7,52}, {6,43}, {8,32}, {22,39}, {6,57}, {17,25}, {2,54}, {21,49}, {24,60}, {7,40}, {12,43}, {20,32}, {2,26}, {3,53}, {17,50}, {18,41}, {14,55}, {14,47}, {21,52}, {8,27}, {2,45}, {23,52}, {5,46}, {6,47}, {3,33}, {14,26}, {1,45}, {20,50}, {19,59}, {19,33}, {19,39}, {9,28}, {3,34}, {16,53}, {4,27}, {16,46}, {18,28}, {15,29}, {11,47}, {14,59}, {4,46}, {18,52}, {8,43}, {3,56}, {2,31}, {1,33}, {20,28}, {5,58}, {3,54}, {12,36}, {16,27}, {3,45}, {12,44}, {5,26}, {19,25}, {7,47}, {2,37}, {4,42}, {10,41}, {4,25}, {14,30}, {3,28}, {12,58}, {2,57}, {3,57}, {17,34}, {20,27}, {7,51}, {14,49}, {1,53}, {12,60}, {19,35}, {13,34}, {17,60}, {7,25}, {9,50}, {15,42}, {1,34}, {22,27}, {22,51}, {2,50}, {6,41}, {10,53}, {21,29}, {24,44}, {12,34}, {9,60}, {8,44}, {6,28}, {4,35}, {21,48}, {19,32}, {13,33}, {18,43}, {23,46}, {18,53}, {14,25}, {5,49}, {1,50}, {10,60}, {11,28}, {2,47}, {8,55}, {16,35}, {14,42}, {10,27}, {3,40}, {8,54}, {17,45}, {12,59}, {16,54}, {16,39}, {17,37}, {20,56}, {2,38}, {2,59}, {23,50}, {12,32}, {10,43}, {21,36}, {6,55}, {6,53}, {7,44}, {8,28}, {9,49}, {18,40}, {9,40}, {19,51}, {24,42}, {18,60}, {20,40}, {1,27}, {5,44}, {5,25}, {12,54}, {9,53}, {22,36}, {1,46}, {8,39}, {22,32}, {9,42}, {5,36}, {10,32}, {13,46}, {4,39}, {12,35}, {6,35}, {17,32}, {11,50}, {22,60}, {23,26}, {21,26}, {1,58}, {2,42}, {7,57}, {6,33}, {17,49}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.248 // Bipartite(24,36) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 313456656384 EdgesBipt[60][247]:={ {24,34}, {15,33}, {6,52}, {18,45}, {6,38}, {19,28}, {11,40}, {16,47}, {15,38}, {8,57}, {14,36}, {6,59}, {11,49}, {9,32}, {5,38}, {5,56}, {16,51}, {11,25}, {5,43}, {2,55}, {3,58}, {2,60}, {22,40}, {1,49}, {13,37}, {1,40}, {14,38}, {13,39}, {17,42}, {14,50}, {2,35}, {16,58}, {20,46}, {10,33}, {21,30}, {15,27}, {24,54}, {21,41}, {11,53}, {21,54}, {17,56}, {6,48}, {19,37}, {20,37}, {16,28}, {20,58}, {5,32}, {15,41}, {8,31}, {4,37}, {13,43}, {13,27}, {10,48}, {2,33}, {17,35}, {21,53}, {11,29}, {15,57}, {24,58}, {19,40}, {20,38}, {20,26}, {22,55}, {16,42}, {1,52}, {18,32}, {2,52}, {23,45}, {4,30}, {7,59}, {23,38}, {12,46}, {9,33}, {7,45}, {8,37}, {9,57}, {24,46}, {6,60}, {21,38}, {20,49}, {23,31}, {17,59}, {23,54}, {7,27}, {4,58}, {12,42}, {10,26}, {22,42}, {7,33}, {3,52}, {19,48}, {5,60}, {24,30}, {2,48}, {20,39}, {19,52}, {24,47}, {21,50}, {13,55}, {9,56}, {24,31}, {24,45}, {20,35}, {23,43}, {23,42}, {12,37}, {13,51}, {16,34}, {15,45}, {7,56}, {18,39}, {18,57}, {17,47}, {5,50}, {4,49}, {17,36}, {2,29}, {5,34}, {1,38}, {1,26}, {2,36}, {8,49}, {13,41}, {16,40}, {18,29}, {9,36}, {12,49}, {18,33}, {22,43}, {5,27}, {16,59}, {18,56}, {21,55}, {24,41}, {14,46}, {9,46}, {14,35}, {1,42}, {7,32}, {12,27}, {19,47}, {18,55}, {13,49}, {7,37}, {11,42}, {9,58}, {14,34}, {15,50}, {19,49}, {8,48}, {11,60}, {14,60}, {20,25}, {4,32}, {4,60}, {1,30}, {8,56}, {19,27}, {14,28}, {12,47}, {6,36}, {18,51}, {24,53}, {4,53}, {11,36}, {3,30}, {13,48}, {10,57}, {22,26}, {10,36}, {20,51}, {10,38}, {15,34}, {10,58}, {10,46}, {22,56}, {8,60}, {13,25}, {21,25}, {17,58}, {14,39}, {21,31}, {11,48}, {8,47}, {4,41}, {9,38}, {24,55}, {9,26}, {17,54}, {21,37}, {8,45}, {3,29}, {11,52}, {17,31}, {13,36}, {13,53}, {12,41}, {3,44}, {8,59}, {17,55}, {24,59}, {21,42}, {7,35}, {16,56}, {2,43}, {15,58}, {22,30}, {12,30}, {6,30}, {22,44}, {10,29}, {17,46}, {15,53}, {13,56}, {1,25}, {22,31}, {22,50}, {23,35}, {13,31}, {5,39}, {3,32}, {14,27}, {18,44}, {7,28}, {17,44}, {19,41}, {13,29}, {14,52}, {9,25}, {15,46}, {17,30}, {20,47}, {23,47}, {16,30}, {4,34}, {12,29}, {1,57}, {6,31}, {12,25}, {11,54}, {10,52}, {3,42}, {1,44}, {24,35}, {19,53}, {18,31}, {14,40}, {7,49}, {24,43}, {20,59}, {23,59}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {1,54}, {22,52}, {24,29}, {21,39}, {7,52}, {19,29}, {6,43}, {8,32}, {22,39}, {10,28}, {5,31}, {16,44}, {4,44}, {21,49}, {7,40}, {2,41}, {3,53}, {18,41}, {10,40}, {23,37}, {14,47}, {2,28}, {23,57}, {22,38}, {8,36}, {14,58}, {13,44}, {2,45}, {5,46}, {6,47}, {3,33}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {14,51}, {19,59}, {11,30}, {19,39}, {3,34}, {20,57}, {16,46}, {18,28}, {15,29}, {14,59}, {4,46}, {18,52}, {19,60}, {8,43}, {3,56}, {2,31}, {1,33}, {18,27}, {5,58}, {3,54}, {16,27}, {3,45}, {2,53}, {5,26}, {19,25}, {7,47}, {24,57}, {4,42}, {12,53}, {10,41}, {4,25}, {23,55}, {3,28}, {8,33}, {12,39}, {12,58}, {2,57}, {3,57}, {6,54}, {17,34}, {20,27}, {15,55}, {7,51}, {20,33}, {19,35}, {5,51}, {11,41}, {17,60}, {7,25}, {9,50}, {6,26}, {22,27}, {22,51}, {21,43}, {21,27}, {23,49}, {10,53}, {21,29}, {12,34}, {9,60}, {8,44}, {19,36}, {23,30}, {6,28}, {6,42}, {21,51}, {18,43}, {15,51}, {18,53}, {1,56}, {20,34}, {20,45}, {1,50}, {10,60}, {11,37}, {23,33}, {11,28}, {2,47}, {8,55}, {16,35}, {5,55}, {10,34}, {3,40}, {13,60}, {8,35}, {10,45}, {2,40}, {9,45}, {12,59}, {16,54}, {16,39}, {1,28}, {23,25}, {16,52}, {2,59}, {23,50}, {15,31}, {6,55}, {7,44}, {9,49}, {18,40}, {19,51}, {24,42}, {5,44}, {22,54}, {12,54}, {15,26}, {22,32}, {5,36}, {9,34}, {24,33}, {15,43}, {12,35}, {6,35}, {17,32}, {11,50}, {23,26}, {17,43}, {6,50}, {14,48}, {21,26}, {22,28}, {1,37}, {8,25}, {4,48}, {16,32}, {7,57}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {4,56}, {4,54}, {11,38}, {9,37}, {6,40} }; // ETB60.249 // Bipartite(24,36) Valencies [18,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5015306502144 EdgesBipt[60][248]:={ {6,52}, {18,45}, {19,28}, {16,47}, {15,38}, {15,59}, {6,59}, {6,25}, {5,38}, {5,56}, {16,51}, {19,26}, {4,28}, {3,58}, {8,51}, {5,45}, {2,60}, {1,49}, {13,39}, {17,42}, {11,43}, {15,54}, {5,57}, {16,58}, {3,35}, {10,33}, {11,57}, {24,32}, {21,41}, {24,36}, {14,56}, {17,56}, {10,39}, {14,45}, {20,37}, {16,28}, {5,32}, {4,51}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {24,48}, {13,27}, {14,57}, {14,29}, {23,44}, {24,28}, {13,40}, {14,44}, {2,33}, {24,56}, {21,53}, {10,56}, {6,29}, {19,40}, {2,34}, {22,55}, {12,48}, {16,42}, {18,32}, {2,52}, {23,45}, {7,59}, {12,46}, {20,43}, {13,59}, {7,45}, {8,46}, {21,38}, {20,49}, {7,27}, {12,42}, {23,36}, {6,49}, {7,33}, {23,28}, {13,47}, {2,48}, {15,30}, {20,39}, {5,37}, {19,52}, {24,50}, {21,50}, {13,55}, {18,35}, {20,35}, {9,35}, {1,29}, {19,42}, {12,37}, {13,51}, {16,34}, {23,58}, {24,26}, {18,57}, {20,55}, {13,26}, {9,47}, {4,49}, {5,50}, {17,36}, {2,29}, {18,47}, {1,38}, {1,26}, {14,32}, {2,36}, {16,40}, {20,42}, {10,51}, {22,34}, {24,37}, {22,58}, {9,36}, {1,43}, {12,49}, {5,54}, {18,33}, {18,36}, {22,43}, {23,60}, {16,59}, {18,59}, {19,46}, {3,43}, {5,28}, {18,56}, {21,55}, {14,46}, {9,59}, {24,40}, {3,47}, {1,42}, {19,38}, {1,31}, {3,31}, {18,55}, {1,39}, {7,37}, {11,42}, {14,34}, {15,50}, {17,29}, {8,48}, {20,25}, {4,60}, {1,30}, {21,45}, {19,27}, {12,56}, {23,40}, {1,55}, {4,53}, {3,30}, {3,55}, {10,57}, {22,48}, {22,26}, {14,33}, {15,37}, {20,51}, {15,34}, {11,33}, {22,56}, {8,60}, {9,55}, {21,25}, {14,39}, {21,31}, {19,30}, {10,55}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {17,54}, {21,37}, {7,46}, {3,59}, {11,58}, {3,29}, {17,31}, {1,41}, {1,51}, {21,57}, {9,54}, {12,41}, {20,54}, {11,44}, {13,45}, {4,47}, {20,31}, {24,39}, {8,59}, {23,48}, {11,34}, {17,55}, {17,28}, {7,35}, {11,46}, {15,60}, {16,56}, {5,52}, {15,58}, {12,30}, {6,30}, {7,50}, {22,44}, {7,34}, {10,31}, {9,31}, {10,44}, {10,29}, {7,58}, {18,25}, {24,25}, {1,25}, {22,31}, {22,50}, {13,50}, {23,56}, {23,35}, {20,30}, {13,31}, {9,30}, {24,38}, {8,53}, {14,27}, {18,44}, {6,45}, {20,44}, {17,44}, {19,41}, {8,34}, {15,46}, {17,30}, {5,40}, {20,47}, {23,47}, {16,30}, {21,60}, {15,35}, {12,29}, {11,32}, {17,52}, {9,52}, {12,25}, {11,54}, {10,52}, {3,42}, {19,50}, {13,57}, {14,37}, {13,38}, {15,49}, {19,53}, {18,31}, {7,49}, {20,59}, {23,59}, {7,39}, {3,41}, {23,34}, {4,36}, {4,29}, {1,54}, {4,59}, {19,29}, {6,37}, {22,39}, {24,27}, {24,51}, {6,57}, {10,28}, {19,34}, {16,44}, {21,49}, {24,60}, {2,41}, {17,41}, {20,32}, {2,26}, {3,53}, {10,40}, {11,56}, {2,28}, {8,29}, {23,57}, {22,38}, {8,36}, {14,58}, {24,49}, {8,27}, {2,45}, {23,52}, {6,47}, {3,33}, {23,32}, {14,51}, {11,30}, {19,39}, {9,28}, {3,34}, {4,27}, {16,46}, {8,43}, {11,45}, {21,33}, {3,54}, {8,58}, {12,36}, {3,45}, {16,27}, {2,53}, {12,44}, {5,26}, {7,47}, {12,53}, {10,41}, {4,25}, {12,58}, {2,57}, {3,57}, {6,54}, {20,27}, {18,49}, {7,51}, {14,49}, {15,47}, {11,31}, {1,53}, {15,48}, {12,60}, {24,52}, {17,60}, {7,25}, {9,50}, {15,42}, {22,27}, {22,51}, {13,35}, {21,43}, {2,50}, {6,41}, {10,53}, {21,29}, {17,40}, {24,44}, {12,34}, {9,60}, {6,28}, {19,58}, {6,42}, {4,35}, {21,48}, {13,33}, {18,43}, {23,46}, {14,25}, {5,49}, {7,26}, {1,50}, {23,33}, {8,55}, {16,35}, {10,27}, {17,53}, {8,35}, {10,45}, {2,40}, {14,41}, {16,54}, {22,46}, {16,39}, {13,28}, {20,56}, {16,52}, {7,38}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {21,36}, {6,53}, {9,40}, {11,55}, {19,51}, {18,60}, {1,27}, {5,44}, {5,25}, {12,54}, {15,26}, {4,52}, {22,36}, {9,43}, {14,53}, {8,39}, {22,32}, {9,42}, {10,32}, {4,39}, {6,35}, {17,32}, {11,50}, {22,60}, {13,52}, {17,43}, {21,26}, {1,37}, {4,48}, {16,32}, {7,57}, {6,33}, {18,48}, {11,26}, {3,46}, {9,48}, {19,54}, {17,48}, {15,25}, {2,58}, {5,33}, {18,37}, {5,30}, {11,38}, {6,40} }; // ETB60.250 // Bipartite(24,36) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5135673858195456 EdgesBipt[60][249]:={ {6,52}, {15,33}, {11,40}, {10,37}, {8,57}, {11,49}, {6,59}, {16,51}, {11,25}, {5,43}, {2,55}, {5,59}, {11,59}, {19,57}, {8,26}, {1,40}, {14,38}, {17,42}, {15,44}, {14,50}, {4,31}, {16,58}, {20,46}, {14,31}, {16,55}, {24,54}, {21,41}, {2,49}, {14,56}, {10,39}, {14,45}, {6,48}, {19,37}, {15,56}, {20,58}, {21,28}, {4,51}, {7,30}, {15,41}, {8,31}, {6,56}, {14,57}, {10,48}, {24,28}, {13,40}, {14,44}, {2,33}, {6,32}, {17,35}, {3,49}, {21,53}, {11,35}, {15,57}, {11,27}, {20,38}, {20,26}, {12,28}, {22,37}, {2,25}, {4,43}, {21,40}, {16,42}, {1,52}, {18,32}, {15,32}, {4,30}, {7,59}, {23,38}, {9,33}, {20,43}, {7,45}, {8,46}, {9,57}, {5,41}, {6,60}, {12,38}, {12,26}, {13,30}, {17,59}, {23,54}, {4,58}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {23,28}, {5,60}, {24,30}, {22,25}, {5,37}, {24,50}, {18,35}, {24,31}, {24,45}, {13,42}, {20,35}, {9,35}, {1,36}, {19,42}, {23,42}, {16,34}, {2,56}, {7,56}, {15,45}, {16,43}, {6,44}, {18,39}, {24,26}, {13,58}, {8,38}, {20,55}, {13,26}, {17,47}, {9,47}, {12,52}, {17,36}, {18,47}, {1,38}, {1,26}, {14,32}, {20,36}, {10,51}, {22,34}, {22,58}, {9,29}, {9,39}, {11,51}, {7,54}, {5,54}, {18,36}, {6,51}, {18,59}, {19,46}, {15,28}, {18,56}, {24,41}, {2,39}, {9,59}, {9,46}, {24,40}, {1,42}, {7,32}, {19,56}, {19,47}, {18,55}, {7,37}, {6,27}, {11,42}, {5,53}, {9,58}, {5,35}, {3,36}, {19,49}, {17,29}, {8,48}, {4,32}, {22,49}, {2,44}, {1,30}, {21,45}, {8,50}, {6,36}, {23,39}, {23,40}, {18,51}, {24,53}, {4,53}, {16,29}, {13,48}, {9,51}, {22,48}, {21,47}, {22,26}, {10,36}, {14,33}, {2,51}, {15,37}, {10,38}, {10,46}, {10,58}, {8,60}, {14,39}, {19,30}, {8,47}, {4,41}, {24,55}, {17,54}, {7,46}, {8,45}, {3,29}, {11,52}, {17,31}, {13,36}, {12,55}, {21,57}, {22,29}, {12,41}, {3,44}, {20,31}, {8,59}, {3,25}, {17,55}, {7,35}, {19,45}, {15,60}, {16,56}, {2,43}, {2,27}, {12,30}, {7,34}, {10,29}, {7,58}, {15,52}, {15,53}, {23,51}, {13,56}, {22,50}, {13,50}, {23,35}, {24,38}, {3,32}, {14,27}, {18,44}, {16,41}, {8,34}, {17,30}, {20,47}, {21,58}, {23,47}, {16,30}, {12,45}, {4,34}, {10,25}, {12,29}, {6,31}, {22,53}, {9,52}, {11,54}, {14,43}, {15,40}, {14,37}, {1,44}, {13,38}, {15,49}, {23,27}, {21,59}, {18,31}, {19,44}, {7,49}, {1,48}, {24,43}, {9,41}, {16,31}, {20,59}, {23,59}, {3,41}, {22,41}, {4,29}, {1,32}, {1,54}, {24,29}, {21,39}, {20,60}, {6,43}, {22,39}, {5,31}, {17,25}, {20,48}, {19,34}, {3,60}, {16,44}, {4,44}, {12,50}, {17,41}, {12,43}, {2,26}, {3,53}, {14,55}, {1,60}, {23,37}, {21,52}, {22,38}, {8,36}, {13,44}, {2,45}, {21,46}, {23,52}, {4,55}, {6,47}, {3,48}, {3,33}, {13,32}, {14,26}, {10,50}, {20,50}, {14,51}, {19,59}, {11,30}, {19,33}, {9,28}, {16,53}, {4,27}, {20,57}, {16,46}, {18,28}, {11,47}, {15,29}, {4,46}, {18,52}, {8,43}, {3,56}, {2,31}, {18,27}, {21,33}, {8,58}, {3,45}, {16,27}, {19,25}, {7,47}, {24,57}, {2,37}, {4,42}, {5,29}, {12,53}, {10,41}, {3,28}, {21,34}, {12,33}, {8,33}, {5,47}, {2,57}, {3,57}, {21,35}, {14,49}, {20,33}, {15,48}, {19,35}, {13,34}, {24,52}, {17,60}, {7,25}, {1,34}, {22,27}, {22,51}, {7,42}, {2,50}, {21,27}, {23,49}, {10,53}, {21,29}, {23,30}, {6,28}, {19,58}, {21,51}, {19,32}, {18,43}, {14,25}, {5,49}, {1,56}, {13,54}, {20,34}, {20,45}, {1,50}, {10,60}, {11,37}, {11,28}, {8,55}, {5,55}, {10,27}, {10,34}, {17,53}, {3,40}, {13,60}, {8,35}, {9,45}, {12,57}, {16,54}, {22,46}, {16,39}, {17,37}, {13,28}, {1,28}, {23,25}, {9,27}, {5,42}, {2,38}, {23,50}, {15,36}, {6,55}, {7,44}, {18,40}, {9,40}, {24,42}, {18,60}, {5,25}, {12,54}, {9,53}, {22,36}, {1,46}, {3,37}, {5,36}, {9,34}, {24,33}, {13,46}, {4,39}, {6,35}, {11,50}, {22,60}, {23,26}, {13,52}, {17,43}, {1,58}, {16,32}, {7,57}, {2,32}, {17,49}, {18,48}, {11,26}, {19,54}, {5,48}, {17,48}, {15,25}, {4,56}, {4,54}, {5,30}, {11,38}, {10,49}, {6,40} }; // ETB60.251 // Bipartite(24,36) Valencies [18,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1769472 EdgesBipt[60][250]:={ {24,34}, {15,33}, {18,45}, {7,48}, {19,28}, {11,40}, {10,37}, {16,47}, {11,49}, {9,32}, {6,25}, {16,51}, {5,59}, {23,53}, {11,59}, {8,51}, {2,60}, {8,26}, {22,40}, {1,40}, {17,42}, {11,43}, {15,54}, {2,35}, {17,33}, {4,31}, {5,57}, {20,46}, {21,30}, {14,31}, {16,55}, {11,53}, {14,56}, {14,45}, {3,39}, {15,56}, {20,58}, {21,28}, {4,51}, {15,41}, {20,52}, {13,43}, {24,48}, {6,58}, {10,48}, {23,44}, {13,40}, {6,32}, {17,35}, {24,56}, {11,35}, {10,56}, {10,42}, {24,58}, {10,47}, {20,38}, {2,34}, {20,26}, {22,55}, {22,37}, {2,25}, {12,48}, {4,43}, {21,40}, {1,52}, {18,32}, {2,52}, {23,45}, {4,30}, {7,59}, {23,38}, {12,46}, {9,33}, {13,59}, {8,46}, {24,46}, {5,41}, {8,52}, {16,60}, {21,38}, {12,38}, {7,41}, {20,49}, {12,26}, {13,30}, {17,59}, {23,54}, {6,39}, {23,36}, {6,49}, {10,26}, {22,42}, {7,33}, {12,31}, {19,48}, {20,29}, {24,30}, {2,48}, {18,58}, {20,39}, {5,37}, {18,35}, {16,25}, {24,31}, {24,45}, {23,43}, {9,35}, {1,29}, {19,42}, {13,51}, {2,56}, {15,45}, {16,43}, {18,39}, {24,26}, {13,58}, {8,38}, {18,57}, {13,26}, {5,50}, {17,36}, {5,34}, {18,47}, {1,38}, {1,26}, {13,41}, {8,49}, {20,36}, {22,34}, {9,36}, {1,43}, {9,29}, {11,51}, {12,49}, {18,26}, {5,54}, {23,60}, {10,59}, {5,27}, {3,43}, {15,28}, {24,41}, {2,39}, {14,35}, {3,47}, {22,59}, {7,32}, {7,60}, {19,38}, {18,55}, {6,27}, {7,53}, {2,30}, {17,57}, {5,35}, {14,34}, {15,50}, {3,36}, {19,49}, {8,48}, {11,60}, {14,54}, {14,60}, {20,25}, {4,60}, {22,49}, {1,30}, {14,28}, {12,56}, {23,40}, {24,53}, {4,53}, {16,29}, {11,36}, {3,55}, {10,57}, {22,48}, {22,26}, {16,57}, {15,37}, {20,51}, {22,56}, {8,60}, {13,25}, {21,25}, {17,51}, {17,58}, {14,39}, {21,31}, {10,55}, {8,47}, {4,41}, {9,38}, {24,55}, {9,26}, {17,54}, {21,37}, {8,45}, {3,29}, {17,31}, {1,41}, {12,55}, {1,51}, {1,59}, {12,41}, {18,54}, {11,44}, {4,47}, {21,42}, {7,35}, {11,46}, {16,56}, {5,52}, {22,30}, {12,30}, {7,50}, {4,57}, {9,31}, {18,25}, {17,46}, {23,51}, {1,25}, {22,50}, {13,50}, {23,56}, {23,35}, {9,30}, {24,38}, {19,55}, {16,41}, {7,28}, {6,45}, {17,44}, {19,41}, {13,29}, {14,52}, {8,34}, {9,25}, {15,46}, {10,30}, {20,47}, {23,47}, {16,30}, {12,45}, {1,57}, {6,31}, {11,32}, {17,52}, {21,32}, {11,54}, {15,40}, {3,42}, {10,52}, {19,50}, {22,57}, {13,57}, {13,38}, {19,53}, {18,31}, {19,44}, {14,40}, {7,49}, {24,43}, {16,31}, {23,59}, {7,39}, {3,41}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {1,54}, {22,52}, {20,60}, {19,29}, {6,37}, {6,57}, {5,31}, {20,48}, {16,44}, {4,44}, {2,54}, {17,41}, {12,43}, {17,50}, {10,40}, {23,37}, {7,29}, {11,56}, {2,28}, {8,29}, {8,36}, {14,58}, {24,49}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {16,36}, {13,32}, {10,50}, {23,32}, {19,59}, {3,50}, {19,33}, {19,39}, {9,28}, {16,53}, {4,27}, {7,55}, {18,28}, {15,29}, {11,47}, {14,59}, {19,60}, {3,56}, {2,31}, {11,45}, {18,27}, {21,33}, {5,58}, {3,54}, {8,58}, {3,45}, {16,27}, {2,53}, {12,44}, {24,57}, {12,53}, {4,25}, {14,30}, {3,28}, {21,34}, {12,33}, {8,33}, {12,58}, {6,54}, {17,34}, {20,27}, {21,35}, {15,55}, {18,49}, {15,47}, {7,51}, {20,33}, {21,44}, {15,48}, {19,35}, {5,51}, {6,26}, {15,42}, {22,27}, {21,43}, {7,42}, {21,27}, {23,49}, {21,29}, {24,44}, {12,34}, {6,28}, {19,32}, {23,46}, {18,53}, {14,25}, {13,54}, {20,34}, {20,45}, {1,50}, {10,60}, {11,37}, {14,42}, {10,27}, {10,34}, {3,40}, {17,27}, {2,40}, {18,50}, {12,57}, {16,39}, {17,37}, {13,28}, {1,28}, {16,52}, {9,27}, {7,38}, {5,42}, {2,59}, {15,36}, {21,36}, {6,55}, {6,53}, {7,44}, {9,40}, {19,51}, {5,44}, {4,52}, {9,43}, {22,47}, {14,53}, {1,46}, {3,37}, {8,39}, {22,32}, {9,42}, {5,36}, {9,34}, {24,33}, {15,43}, {13,46}, {10,32}, {4,39}, {6,35}, {22,60}, {13,52}, {6,50}, {14,48}, {21,26}, {1,58}, {8,25}, {2,42}, {3,46}, {5,33}, {2,58}, {18,37}, {4,56}, {11,38}, {10,49}, {9,37} }; // ETB60.252 // Bipartite(30,30) Valencies [18,18] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 43545600 EdgesBipt[60][251]:={ {26,53}, {7,49}, {24,33}, {30,37}, {30,54}, {11,42}, {14,48}, {20,33}, {30,43}, {24,59}, {19,41}, {25,42}, {30,59}, {7,47}, {28,56}, {26,33}, {27,55}, {4,60}, {7,57}, {4,57}, {14,49}, {22,49}, {18,58}, {5,52}, {8,37}, {8,31}, {2,57}, {18,51}, {3,47}, {9,58}, {11,52}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {2,39}, {18,38}, {15,50}, {1,32}, {8,36}, {28,54}, {15,33}, {5,43}, {16,57}, {12,32}, {30,44}, {29,42}, {3,54}, {20,42}, {23,53}, {23,45}, {2,52}, {4,52}, {19,49}, {19,60}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {19,38}, {25,49}, {4,34}, {7,60}, {13,48}, {29,57}, {18,37}, {25,32}, {10,42}, {28,45}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {14,33}, {11,35}, {3,32}, {11,31}, {26,57}, {5,55}, {30,56}, {17,42}, {23,49}, {18,50}, {20,57}, {11,36}, {28,44}, {19,54}, {15,59}, {28,42}, {15,51}, {5,53}, {28,49}, {27,32}, {28,32}, {25,56}, {4,59}, {25,41}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {28,57}, {8,40}, {1,31}, {6,58}, {11,48}, {26,58}, {23,33}, {5,45}, {8,57}, {4,41}, {18,53}, {20,58}, {13,54}, {8,39}, {22,45}, {9,55}, {15,43}, {27,56}, {2,36}, {30,34}, {14,51}, {3,51}, {5,46}, {16,42}, {12,44}, {15,34}, {8,58}, {8,35}, {2,60}, {18,59}, {6,40}, {24,44}, {1,50}, {20,39}, {27,41}, {21,55}, {12,56}, {25,60}, {22,47}, {6,39}, {10,50}, {24,43}, {17,48}, {2,45}, {19,35}, {23,52}, {26,60}, {16,34}, {8,49}, {10,48}, {22,41}, {4,45}, {30,40}, {4,44}, {20,60}, {5,36}, {24,54}, {12,39}, {7,31}, {12,33}, {14,53}, {26,43}, {22,60}, {8,60}, {28,52}, {21,37}, {3,50}, {25,38}, {27,51}, {26,37}, {15,55}, {14,35}, {12,41}, {5,42}, {21,59}, {4,56}, {24,58}, {26,49}, {20,49}, {20,52}, {20,40}, {21,51}, {21,40}, {5,51}, {11,58}, {9,37}, {27,38}, {17,53}, {26,52}, {25,47}, {24,55}, {23,46}, {12,50}, {21,34}, {18,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {16,60}, {12,58}, {19,32}, {19,52}, {27,33}, {3,43}, {16,48}, {17,46}, {7,42}, {24,50}, {6,43}, {9,54}, {26,31}, {12,47}, {21,56}, {11,53}, {2,51}, {6,37}, {3,37}, {29,36}, {1,35}, {26,35}, {29,46}, {7,36}, {9,39}, {14,37}, {11,45}, {8,33}, {13,50}, {9,44}, {24,53}, {22,59}, {21,50}, {19,57}, {30,38}, {30,53}, {13,35}, {8,55}, {1,54}, {13,32}, {17,36}, {26,39}, {18,44}, {30,55}, {10,36}, {1,60}, {2,40}, {9,43}, {11,51}, {6,53}, {25,52}, {29,45}, {5,60}, {9,59}, {29,33}, {24,34}, {27,54}, {16,36}, {12,54}, {29,40}, {18,43}, {17,37}, {6,44}, {25,36}, {22,52}, {9,46}, {10,52}, {24,51}, {15,37}, {7,35}, {4,42}, {27,47}, {3,53}, {30,33}, {27,40}, {15,46}, {1,52}, {1,59}, {5,48}, {26,48}, {9,40}, {14,31}, {8,45}, {20,37}, {11,33}, {5,58}, {1,34}, {30,41}, {24,37}, {13,59}, {6,46}, {2,49}, {21,54}, {14,46}, {6,56}, {5,40}, {3,46}, {16,31}, {22,36}, {26,40}, {27,34}, {6,50}, {28,31}, {28,35}, {19,56}, {17,31}, {1,48}, {15,44}, {8,51}, {19,36}, {14,57}, {16,41}, {16,52}, {28,59}, {2,33}, {6,32}, {24,47}, {10,35}, {9,47}, {10,59}, {6,55}, {4,32}, {15,58}, {12,59}, {21,53}, {13,41}, {3,34}, {18,39}, {3,38}, {25,48}, {2,43}, {23,60}, {13,44}, {1,47}, {6,51}, {3,59}, {9,33}, {20,35}, {8,42}, {15,38}, {7,38}, {4,54}, {23,40}, {12,53}, {13,31}, {5,31}, {29,43}, {10,60}, {18,33}, {21,33}, {30,58}, {6,54}, {1,56}, {23,55}, {10,34}, {21,47}, {7,48}, {14,52}, {28,34}, {11,43}, {28,38}, {20,51}, {2,53}, {28,48}, {24,56}, {19,42}, {27,58}, {19,50}, {18,46}, {24,46}, {23,51}, {18,56}, {1,45}, {16,56}, {17,58}, {17,39}, {7,32}, {13,38}, {26,36}, {29,58}, {22,54}, {13,57}, {12,51}, {7,44}, {25,34}, {27,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {30,32}, {15,39}, {17,49}, {19,47}, {23,57}, {13,34}, {22,50}, {3,56}, {1,38}, {5,37}, {29,49}, {7,41}, {3,44}, {25,50}, {25,54}, {1,36}, {18,40}, {17,57}, {20,48}, {14,39}, {14,42}, {21,58}, {13,52}, {29,52}, {2,46}, {3,39}, {10,41}, {7,56}, {23,35}, {11,55}, {12,34}, {15,41}, {29,48}, {19,45}, {16,44}, {4,50}, {23,31}, {4,48}, {8,43}, {28,41}, {2,48}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {27,37}, {25,57}, {14,55}, {29,39}, {22,34}, {16,50}, {24,38}, {19,48}, {29,53}, {18,47}, {29,37}, {21,41}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {27,39}, {25,35}, {6,38}, {8,48}, {11,40}, {13,42}, {17,60}, {25,31}, {14,45}, {5,35}, {29,55}, {16,32}, {9,32}, {25,44}, {18,32}, {24,40}, {21,32}, {26,42}, {22,31}, {14,58}, {16,45}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {28,36}, {13,47}, {23,37}, {10,45}, {23,42}, {15,53}, {3,40}, {20,46}, {16,59}, {27,43}, {22,42}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {1,57}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {16,49}, {29,31}, {13,60}, {24,41}, {16,47}, {20,36}, {15,47}, {20,45}, {29,35}, {26,55}, {13,45}, {30,39}, {22,57}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {10,32}, {30,47}, {21,38}, {6,59}, {12,55}, {11,60}, {6,41}, {10,49}, {30,46}, {12,46}, {4,36}, {2,31} }; // ETB60.253 // Bipartite(30,30) Valencies [18,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1403964840984182784000000 EdgesBipt[60][252]:={ {26,53}, {7,49}, {13,40}, {6,36}, {30,37}, {30,54}, {11,42}, {14,48}, {20,33}, {30,43}, {19,41}, {25,42}, {22,37}, {7,47}, {26,33}, {17,56}, {4,60}, {7,57}, {3,49}, {5,32}, {22,49}, {5,52}, {8,37}, {8,31}, {17,54}, {2,57}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {3,55}, {22,56}, {28,50}, {15,54}, {10,54}, {2,39}, {1,32}, {19,51}, {13,43}, {18,49}, {15,33}, {24,52}, {19,58}, {5,43}, {30,44}, {5,56}, {29,42}, {23,50}, {14,54}, {21,35}, {20,42}, {2,38}, {23,53}, {23,45}, {4,52}, {19,60}, {4,38}, {1,49}, {11,39}, {7,54}, {16,33}, {19,38}, {13,51}, {4,34}, {26,46}, {7,60}, {18,37}, {29,50}, {25,32}, {10,42}, {14,40}, {28,45}, {9,41}, {21,46}, {11,35}, {8,59}, {25,51}, {1,53}, {5,47}, {28,43}, {30,56}, {23,49}, {18,50}, {12,48}, {20,57}, {11,36}, {19,54}, {1,55}, {24,48}, {19,40}, {10,51}, {15,51}, {30,51}, {5,53}, {13,53}, {28,49}, {25,56}, {25,41}, {7,59}, {2,37}, {9,50}, {28,57}, {8,40}, {6,58}, {11,48}, {2,59}, {6,35}, {26,58}, {23,33}, {20,44}, {27,57}, {21,42}, {8,57}, {4,41}, {18,53}, {29,38}, {8,39}, {20,54}, {7,34}, {9,55}, {15,43}, {29,51}, {27,56}, {2,36}, {12,38}, {13,33}, {18,35}, {30,34}, {20,32}, {18,31}, {14,51}, {26,32}, {3,51}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {8,35}, {2,60}, {18,59}, {11,38}, {24,44}, {9,31}, {5,33}, {21,55}, {12,56}, {29,32}, {22,47}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {19,35}, {1,42}, {8,49}, {19,31}, {4,45}, {28,39}, {11,56}, {20,43}, {4,44}, {5,36}, {24,54}, {12,39}, {21,36}, {26,43}, {22,60}, {14,50}, {8,60}, {6,52}, {3,50}, {2,34}, {14,35}, {5,42}, {21,59}, {6,49}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {27,60}, {24,58}, {27,36}, {25,46}, {15,57}, {29,41}, {26,49}, {20,52}, {2,56}, {16,35}, {5,51}, {29,60}, {16,55}, {25,33}, {11,58}, {14,32}, {27,38}, {26,52}, {25,47}, {19,44}, {22,46}, {24,55}, {9,52}, {12,50}, {10,31}, {22,38}, {11,49}, {30,57}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {3,43}, {16,48}, {17,46}, {4,58}, {24,50}, {6,43}, {9,54}, {12,47}, {21,56}, {11,53}, {12,49}, {3,37}, {28,40}, {1,35}, {26,35}, {2,58}, {7,36}, {28,60}, {10,46}, {20,31}, {8,33}, {11,45}, {13,50}, {9,44}, {22,59}, {9,42}, {30,53}, {13,35}, {8,55}, {17,36}, {26,39}, {9,35}, {30,36}, {15,36}, {10,36}, {27,59}, {8,41}, {28,37}, {15,42}, {2,40}, {17,50}, {6,53}, {25,52}, {29,45}, {16,46}, {27,48}, {24,34}, {27,54}, {4,40}, {16,36}, {12,54}, {29,40}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {25,36}, {18,60}, {10,52}, {24,51}, {15,37}, {22,48}, {27,47}, {4,42}, {21,43}, {3,53}, {30,33}, {14,41}, {27,40}, {9,60}, {5,34}, {1,43}, {15,46}, {1,52}, {1,59}, {26,59}, {3,35}, {29,44}, {26,48}, {9,40}, {14,31}, {8,45}, {7,46}, {20,37}, {11,33}, {30,41}, {22,40}, {24,35}, {13,37}, {24,31}, {10,53}, {13,59}, {6,46}, {2,49}, {12,57}, {6,56}, {10,57}, {22,36}, {27,34}, {24,42}, {11,59}, {28,31}, {28,35}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {3,60}, {16,52}, {17,44}, {3,57}, {28,59}, {6,32}, {15,31}, {17,59}, {6,55}, {27,46}, {4,32}, {12,59}, {21,53}, {5,41}, {13,41}, {4,55}, {18,39}, {9,48}, {14,34}, {23,60}, {19,55}, {3,59}, {29,34}, {22,39}, {7,38}, {4,54}, {23,40}, {13,31}, {5,31}, {4,51}, {18,33}, {21,33}, {17,38}, {1,56}, {1,46}, {23,55}, {10,34}, {7,48}, {14,52}, {13,39}, {11,43}, {29,54}, {20,51}, {19,42}, {27,58}, {19,50}, {17,34}, {13,55}, {23,51}, {1,45}, {16,56}, {17,58}, {17,39}, {6,42}, {26,36}, {29,58}, {22,54}, {13,57}, {20,34}, {7,44}, {25,34}, {27,44}, {11,46}, {4,31}, {30,32}, {3,41}, {10,33}, {17,49}, {23,57}, {28,51}, {26,38}, {22,50}, {16,39}, {30,42}, {1,38}, {5,37}, {25,43}, {14,44}, {12,60}, {25,54}, {1,36}, {18,40}, {17,57}, {24,32}, {9,45}, {14,42}, {21,58}, {18,45}, {29,52}, {2,46}, {3,39}, {10,41}, {7,56}, {23,35}, {11,55}, {12,34}, {15,41}, {29,48}, {19,45}, {4,50}, {23,31}, {2,50}, {4,48}, {21,52}, {8,43}, {28,41}, {2,48}, {23,59}, {16,58}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {27,37}, {25,57}, {1,33}, {6,33}, {14,55}, {22,34}, {15,52}, {24,38}, {19,48}, {26,56}, {27,49}, {18,47}, {12,40}, {17,40}, {30,52}, {20,41}, {15,32}, {14,38}, {18,57}, {27,39}, {7,58}, {20,56}, {6,38}, {17,60}, {25,31}, {14,45}, {5,44}, {3,45}, {21,48}, {29,55}, {24,45}, {16,32}, {9,32}, {16,53}, {25,44}, {24,40}, {21,32}, {26,42}, {20,47}, {14,58}, {28,55}, {30,31}, {22,58}, {16,45}, {7,50}, {19,34}, {13,47}, {23,37}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {16,59}, {12,36}, {22,44}, {13,49}, {28,53}, {21,39}, {15,56}, {3,33}, {23,47}, {27,50}, {18,41}, {23,43}, {16,38}, {5,57}, {16,49}, {12,37}, {29,31}, {13,60}, {24,41}, {20,36}, {15,47}, {29,35}, {26,55}, {13,45}, {26,45}, {22,57}, {28,33}, {4,35}, {10,47}, {28,47}, {20,53}, {10,32}, {30,47}, {25,53}, {17,47}, {8,50}, {25,37}, {24,60}, {21,38}, {6,59}, {8,53}, {30,46}, {12,46}, {1,58}, {5,54} }; // ETB60.254 // Bipartite(30,30) Valencies [18,18] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 877478025615114240 EdgesBipt[60][253]:={ {26,53}, {3,42}, {7,49}, {26,54}, {24,33}, {30,37}, {11,42}, {4,46}, {19,41}, {25,42}, {22,37}, {30,59}, {7,47}, {22,53}, {28,56}, {26,33}, {17,56}, {4,60}, {20,50}, {7,57}, {4,57}, {5,32}, {18,58}, {5,52}, {14,47}, {8,31}, {30,45}, {17,54}, {2,57}, {18,51}, {6,48}, {11,52}, {11,34}, {3,55}, {28,50}, {15,54}, {18,38}, {15,50}, {1,32}, {19,51}, {8,36}, {19,37}, {23,56}, {9,49}, {24,52}, {16,54}, {16,57}, {22,51}, {5,56}, {29,42}, {1,41}, {23,54}, {3,54}, {10,55}, {21,35}, {25,58}, {20,42}, {2,38}, {23,45}, {4,52}, {19,49}, {6,34}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {25,49}, {13,51}, {7,60}, {13,48}, {26,47}, {29,57}, {25,32}, {10,42}, {14,40}, {28,45}, {9,41}, {23,58}, {23,34}, {24,36}, {14,33}, {11,35}, {3,32}, {11,31}, {8,38}, {1,53}, {26,57}, {28,43}, {28,58}, {30,60}, {18,50}, {12,48}, {20,57}, {1,55}, {15,59}, {25,56}, {7,59}, {2,37}, {17,51}, {14,43}, {9,53}, {8,40}, {2,41}, {1,31}, {6,58}, {6,35}, {5,50}, {21,44}, {26,58}, {3,48}, {27,57}, {21,42}, {18,53}, {20,58}, {13,54}, {7,51}, {7,34}, {29,51}, {27,56}, {12,38}, {11,44}, {26,44}, {18,35}, {20,32}, {18,31}, {3,51}, {5,46}, {18,55}, {15,34}, {12,44}, {8,58}, {8,35}, {2,60}, {9,31}, {20,39}, {27,41}, {21,55}, {6,57}, {25,60}, {29,32}, {22,47}, {16,43}, {6,39}, {10,50}, {24,43}, {2,44}, {23,52}, {1,42}, {16,34}, {10,48}, {22,41}, {19,31}, {4,45}, {30,40}, {20,60}, {5,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {22,60}, {14,50}, {8,60}, {25,38}, {27,51}, {26,37}, {2,34}, {14,35}, {12,41}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {27,60}, {27,36}, {25,46}, {29,41}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {16,55}, {14,32}, {9,37}, {11,41}, {24,55}, {9,52}, {23,46}, {12,50}, {4,33}, {15,40}, {21,34}, {1,44}, {22,38}, {11,49}, {30,57}, {8,56}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {18,48}, {16,48}, {3,36}, {14,36}, {17,46}, {24,50}, {6,43}, {12,47}, {11,53}, {2,51}, {6,37}, {28,40}, {29,36}, {1,35}, {23,32}, {2,58}, {26,35}, {29,46}, {7,36}, {28,60}, {9,39}, {14,37}, {22,33}, {11,45}, {8,33}, {29,47}, {15,60}, {24,53}, {9,42}, {19,57}, {30,38}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {17,36}, {26,39}, {30,55}, {15,36}, {27,59}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {5,60}, {9,59}, {29,33}, {27,54}, {4,40}, {23,38}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {25,36}, {6,44}, {18,60}, {9,46}, {10,52}, {22,48}, {4,42}, {27,47}, {23,48}, {21,43}, {20,38}, {24,57}, {27,40}, {5,34}, {26,34}, {1,43}, {15,46}, {29,56}, {1,52}, {13,36}, {1,59}, {26,59}, {3,35}, {5,48}, {26,48}, {25,59}, {7,46}, {8,45}, {6,47}, {20,37}, {5,59}, {11,33}, {5,58}, {1,34}, {30,50}, {22,40}, {4,47}, {24,35}, {24,37}, {21,54}, {12,57}, {23,44}, {19,43}, {14,46}, {10,57}, {5,40}, {3,46}, {24,42}, {27,34}, {11,59}, {28,31}, {28,35}, {19,56}, {17,31}, {15,44}, {23,41}, {8,51}, {25,40}, {19,36}, {14,57}, {17,44}, {2,33}, {24,47}, {10,35}, {9,47}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {4,32}, {15,58}, {29,59}, {19,39}, {21,53}, {13,41}, {15,48}, {4,55}, {19,33}, {3,34}, {3,38}, {25,48}, {2,43}, {30,49}, {13,44}, {9,33}, {20,35}, {15,38}, {13,31}, {12,53}, {29,43}, {10,38}, {10,60}, {18,33}, {21,33}, {30,58}, {6,54}, {23,55}, {25,39}, {14,52}, {5,49}, {11,43}, {3,52}, {28,38}, {2,53}, {28,48}, {24,56}, {19,42}, {17,34}, {13,55}, {18,46}, {24,46}, {23,51}, {18,56}, {1,45}, {17,39}, {13,38}, {22,54}, {12,51}, {7,44}, {25,34}, {27,44}, {19,59}, {9,56}, {30,32}, {11,54}, {3,41}, {15,39}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {28,51}, {22,50}, {26,38}, {3,56}, {15,49}, {16,39}, {30,42}, {29,49}, {7,41}, {3,44}, {12,60}, {25,50}, {20,59}, {25,54}, {18,40}, {17,57}, {24,32}, {20,48}, {14,42}, {13,52}, {18,45}, {29,52}, {19,53}, {7,56}, {13,58}, {23,35}, {11,55}, {12,34}, {4,50}, {16,44}, {23,31}, {2,50}, {17,41}, {21,52}, {8,43}, {28,41}, {2,48}, {16,58}, {7,39}, {14,60}, {9,51}, {27,37}, {1,33}, {6,33}, {14,55}, {29,39}, {22,34}, {15,52}, {28,46}, {9,36}, {10,40}, {29,53}, {27,49}, {29,37}, {21,41}, {12,40}, {17,40}, {30,52}, {8,46}, {15,32}, {27,39}, {13,56}, {6,38}, {8,48}, {19,46}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {3,45}, {4,43}, {1,51}, {24,45}, {9,32}, {16,53}, {3,58}, {30,35}, {25,44}, {24,40}, {21,32}, {22,31}, {20,47}, {28,55}, {22,58}, {16,45}, {30,48}, {7,50}, {12,43}, {5,39}, {28,36}, {10,45}, {23,42}, {2,54}, {21,49}, {16,59}, {27,31}, {22,44}, {28,53}, {21,39}, {15,56}, {20,55}, {27,50}, {18,41}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {29,31}, {12,31}, {16,47}, {20,45}, {26,55}, {13,45}, {30,39}, {26,45}, {4,37}, {22,57}, {28,33}, {4,35}, {10,47}, {10,32}, {30,47}, {17,47}, {8,50}, {24,60}, {6,59}, {8,53}, {10,49}, {4,36}, {5,54}, {2,31} }; // ETB60.255 // Bipartite(30,30) Valencies [18,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1426576071720960 EdgesBipt[60][254]:={ {7,49}, {26,54}, {26,50}, {6,36}, {24,33}, {14,48}, {4,46}, {20,33}, {30,43}, {19,41}, {22,37}, {30,59}, {7,47}, {28,56}, {27,55}, {4,60}, {20,50}, {3,49}, {4,57}, {14,49}, {5,32}, {22,49}, {8,37}, {14,47}, {22,55}, {12,42}, {30,45}, {2,57}, {18,51}, {9,58}, {11,52}, {27,53}, {28,50}, {15,54}, {2,39}, {18,38}, {7,53}, {15,50}, {1,32}, {8,36}, {13,43}, {19,37}, {23,56}, {9,49}, {15,33}, {19,58}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {30,44}, {5,56}, {29,42}, {1,41}, {23,50}, {14,54}, {10,55}, {25,58}, {20,42}, {2,52}, {23,45}, {19,49}, {19,60}, {6,34}, {4,38}, {11,39}, {24,39}, {21,31}, {19,38}, {13,51}, {4,34}, {26,46}, {13,48}, {29,57}, {18,37}, {25,32}, {10,42}, {28,45}, {9,41}, {17,43}, {21,46}, {23,58}, {23,34}, {24,36}, {14,33}, {11,31}, {11,37}, {8,38}, {25,51}, {8,52}, {26,57}, {5,47}, {16,51}, {11,47}, {23,49}, {30,60}, {18,50}, {12,35}, {12,48}, {20,57}, {19,54}, {1,55}, {24,48}, {15,59}, {28,42}, {15,51}, {5,53}, {27,32}, {28,32}, {25,56}, {25,41}, {7,59}, {2,37}, {17,51}, {9,53}, {6,31}, {28,57}, {8,40}, {1,31}, {11,48}, {6,35}, {17,32}, {5,50}, {21,44}, {23,33}, {20,44}, {3,48}, {8,57}, {18,53}, {20,58}, {29,38}, {7,51}, {22,32}, {7,34}, {15,43}, {11,44}, {13,33}, {26,44}, {18,35}, {14,51}, {3,51}, {18,42}, {18,55}, {16,42}, {8,35}, {6,40}, {5,33}, {4,39}, {21,55}, {6,57}, {22,47}, {8,47}, {6,39}, {10,50}, {23,52}, {16,34}, {10,48}, {4,45}, {11,56}, {30,40}, {20,43}, {20,60}, {5,36}, {24,54}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {28,52}, {21,37}, {3,50}, {25,38}, {27,51}, {2,34}, {21,59}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {27,36}, {29,41}, {26,49}, {20,40}, {16,35}, {21,40}, {5,51}, {29,60}, {16,55}, {25,33}, {14,32}, {9,37}, {27,38}, {17,53}, {25,47}, {24,49}, {11,41}, {19,44}, {9,52}, {23,46}, {12,50}, {4,33}, {18,52}, {2,55}, {1,44}, {10,31}, {30,57}, {8,56}, {12,58}, {7,37}, {21,45}, {19,52}, {3,43}, {3,36}, {14,36}, {17,46}, {9,54}, {26,31}, {12,47}, {21,56}, {12,49}, {3,37}, {28,40}, {26,35}, {2,58}, {7,36}, {28,60}, {9,39}, {10,46}, {22,33}, {7,43}, {20,31}, {11,45}, {13,50}, {9,44}, {24,53}, {9,42}, {19,57}, {30,38}, {30,53}, {13,35}, {8,55}, {1,54}, {17,36}, {26,39}, {30,55}, {15,36}, {1,60}, {27,59}, {8,41}, {28,37}, {13,46}, {2,40}, {9,43}, {29,45}, {16,46}, {9,59}, {24,34}, {16,36}, {12,54}, {1,39}, {7,40}, {17,37}, {6,44}, {25,36}, {22,52}, {2,42}, {18,60}, {24,51}, {7,55}, {22,48}, {4,42}, {27,47}, {23,48}, {20,38}, {30,33}, {24,57}, {9,60}, {27,40}, {26,34}, {29,56}, {1,52}, {13,36}, {1,59}, {26,59}, {3,35}, {4,49}, {29,44}, {5,48}, {25,59}, {14,31}, {8,45}, {7,46}, {5,59}, {11,33}, {5,58}, {30,50}, {22,40}, {4,47}, {13,37}, {24,31}, {10,53}, {6,46}, {2,49}, {12,57}, {21,54}, {19,43}, {14,46}, {6,56}, {10,57}, {3,46}, {16,31}, {24,42}, {26,40}, {27,34}, {11,59}, {6,50}, {1,40}, {28,35}, {19,56}, {17,31}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {14,57}, {3,60}, {16,41}, {17,44}, {2,33}, {24,47}, {10,35}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {4,32}, {15,58}, {29,59}, {19,39}, {15,35}, {5,41}, {13,41}, {15,48}, {3,34}, {2,43}, {25,48}, {14,34}, {23,60}, {16,40}, {26,41}, {1,47}, {6,51}, {29,34}, {20,35}, {8,42}, {15,38}, {7,38}, {22,39}, {8,32}, {7,52}, {4,54}, {13,31}, {29,43}, {4,51}, {10,38}, {10,60}, {21,33}, {30,58}, {17,38}, {6,54}, {1,46}, {1,56}, {21,47}, {25,39}, {29,54}, {3,52}, {28,38}, {19,42}, {27,58}, {17,34}, {24,46}, {23,51}, {18,56}, {1,45}, {16,56}, {17,58}, {6,42}, {7,32}, {26,36}, {29,58}, {22,54}, {7,44}, {27,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {13,34}, {28,51}, {22,50}, {3,56}, {27,52}, {16,39}, {30,42}, {25,43}, {29,49}, {25,50}, {20,59}, {25,54}, {18,40}, {24,32}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {29,52}, {19,53}, {13,58}, {23,35}, {11,55}, {12,34}, {15,41}, {19,45}, {16,44}, {23,31}, {2,50}, {4,48}, {21,52}, {28,41}, {2,48}, {14,60}, {9,38}, {10,44}, {27,37}, {1,33}, {2,32}, {29,39}, {22,34}, {16,50}, {24,38}, {26,56}, {10,40}, {29,53}, {27,49}, {18,47}, {29,37}, {21,41}, {12,40}, {17,40}, {15,32}, {14,38}, {18,57}, {7,58}, {25,35}, {13,56}, {11,40}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {24,45}, {3,58}, {30,35}, {25,44}, {18,32}, {17,55}, {21,32}, {26,42}, {28,55}, {30,31}, {22,58}, {30,48}, {22,35}, {5,39}, {12,43}, {19,34}, {28,36}, {23,37}, {10,45}, {15,53}, {2,54}, {20,46}, {16,59}, {27,43}, {22,42}, {27,31}, {13,49}, {26,51}, {28,53}, {21,39}, {15,56}, {3,33}, {20,55}, {18,41}, {23,43}, {23,36}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {13,60}, {15,47}, {20,45}, {21,60}, {26,55}, {13,45}, {22,57}, {28,47}, {2,35}, {20,53}, {25,53}, {17,47}, {8,50}, {24,60}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {30,46}, {4,36}, {5,54} }; // ETB60.256 // Bipartite(30,30) Valencies [18,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 87071293440 EdgesBipt[60][255]:={ {26,53}, {3,42}, {7,49}, {13,40}, {6,36}, {11,42}, {4,46}, {20,33}, {19,41}, {25,42}, {22,37}, {30,59}, {22,53}, {28,56}, {26,33}, {27,55}, {20,50}, {7,57}, {4,57}, {14,49}, {5,32}, {18,58}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {17,54}, {3,47}, {9,58}, {22,56}, {28,50}, {2,39}, {18,38}, {1,32}, {19,51}, {8,36}, {28,54}, {13,43}, {18,49}, {9,49}, {24,52}, {19,58}, {12,52}, {5,43}, {12,32}, {30,44}, {1,41}, {23,50}, {23,54}, {3,54}, {10,55}, {25,58}, {20,42}, {23,53}, {2,52}, {4,52}, {19,49}, {19,60}, {6,34}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {13,51}, {26,46}, {13,48}, {29,57}, {18,37}, {29,50}, {15,45}, {25,32}, {10,42}, {28,45}, {9,41}, {17,43}, {21,46}, {17,45}, {24,36}, {3,32}, {11,31}, {11,37}, {8,38}, {25,51}, {5,47}, {30,56}, {16,51}, {28,58}, {30,60}, {18,50}, {12,35}, {12,48}, {20,57}, {19,54}, {1,55}, {19,40}, {15,59}, {10,51}, {15,51}, {30,51}, {5,53}, {13,53}, {28,49}, {27,32}, {18,54}, {25,41}, {7,59}, {2,37}, {9,50}, {14,43}, {25,45}, {6,31}, {28,57}, {8,40}, {1,31}, {17,32}, {20,44}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {18,53}, {20,58}, {13,54}, {22,32}, {7,34}, {22,45}, {9,55}, {15,43}, {29,51}, {26,44}, {18,35}, {18,31}, {14,51}, {26,32}, {3,51}, {15,34}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {6,40}, {24,44}, {1,50}, {4,39}, {21,55}, {12,56}, {22,47}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {23,52}, {26,60}, {1,42}, {16,34}, {8,49}, {10,48}, {4,45}, {30,40}, {4,44}, {20,60}, {5,36}, {12,39}, {12,33}, {5,38}, {22,60}, {1,37}, {14,50}, {6,52}, {21,37}, {3,50}, {25,38}, {26,37}, {2,34}, {14,35}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {2,47}, {27,36}, {15,57}, {29,41}, {26,49}, {2,56}, {20,40}, {5,51}, {29,60}, {11,58}, {27,38}, {26,52}, {25,47}, {24,49}, {11,41}, {24,55}, {9,52}, {8,34}, {23,46}, {18,34}, {2,55}, {10,31}, {11,49}, {30,57}, {8,56}, {16,60}, {12,58}, {21,45}, {19,52}, {27,33}, {3,43}, {3,36}, {14,36}, {17,46}, {24,50}, {11,50}, {9,54}, {26,31}, {12,47}, {6,37}, {3,37}, {28,40}, {23,32}, {2,58}, {7,36}, {9,39}, {10,46}, {22,33}, {14,37}, {7,43}, {20,31}, {8,33}, {11,45}, {29,47}, {13,50}, {21,50}, {19,57}, {30,38}, {30,53}, {13,35}, {16,37}, {1,54}, {13,32}, {27,45}, {17,36}, {26,39}, {12,45}, {30,55}, {15,36}, {1,60}, {27,59}, {8,41}, {28,37}, {15,42}, {13,46}, {9,43}, {6,53}, {16,46}, {9,59}, {27,48}, {27,54}, {23,38}, {16,36}, {12,54}, {29,40}, {1,39}, {7,40}, {6,44}, {25,36}, {22,52}, {2,42}, {24,51}, {7,55}, {22,48}, {7,35}, {4,42}, {23,48}, {21,43}, {3,53}, {20,38}, {30,33}, {24,57}, {9,60}, {27,40}, {5,34}, {26,34}, {1,43}, {29,56}, {13,36}, {1,59}, {26,59}, {3,35}, {4,49}, {5,48}, {25,59}, {9,40}, {14,31}, {8,45}, {7,46}, {5,59}, {11,33}, {5,58}, {30,50}, {4,47}, {24,35}, {13,37}, {24,37}, {24,31}, {10,53}, {6,46}, {21,54}, {19,43}, {14,46}, {6,56}, {10,57}, {3,46}, {16,31}, {24,42}, {26,40}, {27,34}, {11,59}, {28,31}, {28,35}, {19,56}, {15,44}, {23,41}, {9,34}, {14,57}, {3,60}, {16,41}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {24,47}, {10,35}, {9,47}, {17,59}, {18,36}, {10,59}, {27,46}, {15,58}, {29,59}, {19,39}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {9,48}, {3,38}, {25,48}, {23,60}, {19,55}, {16,40}, {26,41}, {6,51}, {29,34}, {20,35}, {15,38}, {7,38}, {22,39}, {7,52}, {23,40}, {12,53}, {5,31}, {29,43}, {4,51}, {10,38}, {10,60}, {18,33}, {21,33}, {30,58}, {17,38}, {1,46}, {25,39}, {7,48}, {14,52}, {28,34}, {11,43}, {29,54}, {3,52}, {28,38}, {20,51}, {2,53}, {24,56}, {19,50}, {17,34}, {24,46}, {23,51}, {18,56}, {1,45}, {16,56}, {7,32}, {13,38}, {26,36}, {29,58}, {22,54}, {7,44}, {25,34}, {27,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {19,47}, {14,56}, {27,52}, {16,39}, {30,42}, {1,38}, {25,43}, {29,49}, {14,44}, {12,60}, {20,59}, {18,40}, {17,57}, {20,48}, {14,39}, {14,42}, {21,58}, {13,52}, {18,45}, {29,52}, {23,35}, {11,55}, {12,34}, {15,41}, {29,48}, {4,50}, {16,44}, {28,41}, {2,48}, {10,56}, {9,51}, {10,44}, {25,57}, {1,33}, {6,33}, {2,32}, {14,55}, {29,39}, {22,34}, {19,48}, {26,56}, {10,40}, {27,49}, {18,47}, {21,41}, {17,40}, {7,45}, {15,32}, {18,57}, {20,56}, {13,42}, {9,57}, {25,31}, {14,45}, {5,44}, {4,43}, {29,55}, {24,45}, {16,32}, {16,53}, {30,35}, {25,44}, {17,55}, {21,32}, {30,31}, {22,58}, {30,48}, {22,35}, {5,39}, {19,34}, {28,36}, {13,47}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {20,46}, {16,59}, {27,43}, {22,42}, {22,44}, {26,51}, {28,53}, {21,39}, {27,35}, {23,47}, {20,55}, {18,41}, {23,43}, {23,36}, {5,57}, {16,49}, {12,37}, {10,58}, {13,60}, {7,33}, {15,47}, {21,60}, {4,37}, {28,33}, {4,35}, {28,47}, {2,35}, {17,33}, {20,53}, {25,53}, {8,50}, {21,38}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {30,46}, {4,36}, {1,58} }; // ETB60.257 // Bipartite(10,50) Valencies [20,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 400 EdgesBipt[60][256]:={ {6,48}, {1,11}, {2,33}, {6,16}, {2,46}, {7,15}, {5,34}, {8,12}, {4,26}, {2,56}, {4,16}, {10,37}, {4,30}, {2,23}, {5,38}, {8,54}, {8,28}, {1,32}, {3,13}, {1,27}, {3,43}, {3,15}, {7,41}, {7,44}, {2,15}, {4,31}, {2,27}, {3,58}, {5,47}, {5,20}, {3,37}, {8,25}, {10,44}, {3,57}, {9,53}, {6,11}, {8,27}, {9,11}, {2,42}, {3,17}, {2,25}, {10,48}, {6,40}, {1,38}, {9,48}, {7,56}, {1,50}, {4,22}, {3,49}, {9,29}, {1,18}, {10,47}, {1,55}, {5,50}, {1,44}, {8,41}, {2,38}, {8,47}, {2,52}, {8,14}, {7,46}, {8,45}, {5,25}, {9,41}, {1,31}, {10,41}, {4,45}, {7,13}, {2,53}, {9,14}, {5,58}, {1,22}, {6,12}, {1,51}, {6,30}, {4,21}, {9,54}, {3,20}, {10,31}, {9,34}, {2,13}, {9,42}, {4,59}, {4,52}, {7,30}, {3,39}, {3,32}, {9,25}, {7,26}, {1,12}, {6,33}, {6,50}, {1,23}, {6,24}, {6,44}, {7,17}, {9,56}, {5,49}, {8,13}, {1,45}, {5,48}, {8,35}, {4,55}, {4,54}, {1,33}, {3,29}, {1,43}, {4,46}, {8,37}, {10,60}, {5,28}, {5,42}, {9,22}, {7,31}, {6,15}, {4,36}, {10,43}, {7,47}, {9,40}, {5,54}, {8,32}, {8,21}, {3,19}, {1,24}, {9,57}, {6,26}, {8,40}, {8,23}, {10,32}, {5,36}, {3,21}, {6,19}, {9,12}, {4,58}, {5,51}, {7,60}, {6,28}, {9,30}, {10,39}, {3,16}, {5,60}, {6,42}, {3,53}, {7,23}, {9,18}, {10,17}, {4,51}, {3,24}, {2,29}, {2,22}, {4,34}, {1,16}, {10,36}, {10,34}, {10,18}, {8,24}, {10,49}, {6,38}, {10,50}, {3,55}, {5,27}, {5,26}, {2,58}, {10,57}, {9,39}, {10,56}, {10,19}, {4,11}, {4,20}, {3,28}, {7,45}, {1,14}, {9,46}, {8,51}, {2,55}, {7,33}, {10,14}, {6,20}, {7,35}, {6,53}, {3,59}, {5,35}, {2,18}, {7,52}, {2,60}, {9,59}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {4,39}, {7,40}, {7,21}, {8,59}, {8,29}, {5,52}, {6,57}, {1,36}, {2,49} }; // ETB60.258 // Bipartite(10,50) Valencies [20,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 201356263103327232432537600000000000 EdgesBipt[60][257]:={ {8,48}, {1,11}, {3,33}, {9,58}, {5,17}, {10,24}, {9,28}, {6,16}, {7,15}, {5,34}, {9,60}, {10,37}, {4,53}, {1,56}, {4,50}, {4,30}, {8,43}, {9,45}, {7,55}, {8,28}, {9,55}, {3,13}, {8,33}, {3,43}, {2,15}, {7,22}, {1,19}, {2,27}, {3,58}, {5,47}, {9,43}, {1,21}, {10,44}, {9,53}, {5,32}, {6,11}, {9,35}, {4,23}, {8,31}, {2,42}, {10,22}, {3,18}, {6,29}, {8,16}, {2,45}, {4,38}, {6,21}, {2,25}, {7,12}, {3,46}, {6,31}, {4,60}, {9,48}, {5,22}, {7,57}, {7,20}, {10,47}, {1,44}, {5,29}, {8,41}, {2,37}, {2,52}, {10,52}, {7,32}, {3,56}, {10,54}, {1,31}, {4,45}, {7,25}, {2,35}, {1,51}, {10,59}, {4,33}, {10,29}, {1,59}, {6,49}, {3,51}, {2,20}, {2,57}, {9,50}, {1,29}, {7,50}, {7,30}, {4,35}, {9,25}, {8,36}, {2,32}, {6,24}, {6,44}, {7,17}, {6,46}, {8,11}, {5,24}, {4,48}, {8,53}, {5,49}, {8,13}, {6,56}, {8,56}, {10,42}, {5,14}, {4,55}, {9,20}, {4,15}, {4,13}, {3,11}, {4,28}, {4,43}, {10,12}, {3,26}, {8,26}, {5,42}, {2,17}, {6,51}, {7,47}, {9,13}, {5,12}, {9,40}, {5,54}, {8,21}, {1,24}, {8,58}, {1,49}, {5,44}, {6,26}, {5,59}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {6,19}, {1,46}, {4,58}, {6,54}, {6,41}, {7,60}, {6,14}, {9,30}, {10,39}, {5,39}, {3,16}, {3,53}, {4,40}, {6,36}, {9,18}, {10,17}, {8,38}, {10,27}, {1,26}, {2,22}, {1,16}, {3,48}, {10,34}, {2,47}, {10,49}, {2,40}, {9,33}, {6,34}, {5,27}, {8,18}, {4,18}, {10,57}, {9,38}, {4,25}, {10,19}, {3,38}, {4,20}, {3,28}, {7,27}, {7,45}, {8,46}, {1,41}, {3,41}, {3,31}, {2,12}, {1,14}, {6,59}, {8,51}, {6,39}, {2,55}, {10,14}, {5,19}, {7,35}, {2,30}, {9,15}, {7,37}, {1,54}, {1,34}, {2,60}, {7,52}, {5,37}, {3,36}, {7,40}, {7,42}, {9,23}, {5,52}, {5,57}, {1,36}, {2,50} }; // ETB60.259 // Bipartite(10,50) Valencies [20,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75508598663747712162201600000000000 EdgesBipt[60][258]:={ {6,48}, {1,11}, {3,33}, {10,25}, {5,34}, {8,12}, {9,60}, {4,26}, {3,22}, {4,16}, {4,53}, {1,56}, {4,56}, {5,55}, {9,45}, {8,42}, {9,55}, {3,13}, {3,43}, {10,23}, {7,44}, {7,54}, {2,15}, {7,22}, {4,31}, {8,52}, {1,19}, {2,27}, {10,33}, {3,58}, {5,20}, {3,37}, {7,34}, {1,21}, {3,52}, {3,57}, {9,35}, {4,23}, {8,27}, {8,31}, {9,11}, {2,42}, {10,15}, {10,53}, {3,18}, {10,30}, {6,29}, {3,17}, {8,16}, {2,45}, {4,38}, {2,25}, {5,40}, {7,12}, {10,48}, {7,57}, {10,38}, {6,58}, {5,50}, {9,26}, {1,44}, {4,41}, {5,29}, {8,41}, {8,47}, {2,37}, {2,52}, {7,39}, {5,25}, {9,41}, {7,32}, {1,31}, {3,12}, {7,49}, {10,28}, {2,35}, {1,51}, {6,43}, {4,33}, {4,21}, {1,59}, {6,49}, {2,20}, {2,57}, {6,18}, {9,50}, {10,40}, {1,29}, {8,17}, {3,32}, {9,25}, {2,32}, {6,33}, {8,36}, {6,24}, {5,30}, {6,44}, {7,17}, {8,11}, {9,56}, {5,24}, {4,48}, {5,49}, {8,22}, {8,56}, {5,14}, {9,20}, {4,13}, {7,14}, {3,27}, {9,51}, {4,28}, {4,43}, {10,13}, {10,45}, {6,23}, {4,46}, {8,37}, {10,60}, {8,26}, {10,58}, {2,17}, {4,36}, {10,43}, {10,55}, {8,57}, {7,47}, {9,40}, {5,54}, {8,32}, {8,21}, {7,59}, {1,24}, {1,49}, {5,44}, {5,59}, {3,23}, {1,39}, {6,19}, {1,46}, {4,58}, {6,54}, {7,29}, {6,28}, {6,14}, {9,30}, {5,39}, {5,60}, {3,53}, {10,35}, {4,51}, {1,26}, {2,22}, {1,16}, {3,48}, {10,18}, {2,47}, {6,38}, {2,40}, {10,50}, {9,36}, {6,34}, {3,42}, {4,18}, {3,38}, {4,11}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {7,24}, {2,12}, {1,14}, {6,59}, {9,46}, {8,51}, {10,20}, {6,39}, {5,15}, {2,55}, {3,47}, {5,19}, {6,53}, {2,30}, {9,15}, {6,13}, {7,37}, {5,35}, {1,54}, {1,34}, {2,60}, {7,52}, {9,31}, {7,19}, {9,16}, {9,21}, {7,42}, {1,36}, {2,50} }; // ETB60.260 // Bipartite(10,50) Valencies [20,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2377626786201600000000000 EdgesBipt[60][259]:={ {6,48}, {1,11}, {3,33}, {3,60}, {10,25}, {2,33}, {4,27}, {4,26}, {3,40}, {4,16}, {8,30}, {7,48}, {4,56}, {2,23}, {5,55}, {8,43}, {9,45}, {7,38}, {8,54}, {9,55}, {3,13}, {8,33}, {3,43}, {7,22}, {4,31}, {1,19}, {2,27}, {5,20}, {1,21}, {2,28}, {5,32}, {6,11}, {9,35}, {8,44}, {9,11}, {2,42}, {10,15}, {10,22}, {7,58}, {10,30}, {6,29}, {8,16}, {6,21}, {3,34}, {5,40}, {7,12}, {3,46}, {6,31}, {1,38}, {9,47}, {5,22}, {7,57}, {1,18}, {6,58}, {3,14}, {5,50}, {9,26}, {9,27}, {1,44}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {10,52}, {8,14}, {5,25}, {9,41}, {7,32}, {3,56}, {1,31}, {8,60}, {4,45}, {7,13}, {2,53}, {7,43}, {1,51}, {3,44}, {10,59}, {4,47}, {4,21}, {10,29}, {3,20}, {1,59}, {6,49}, {2,13}, {2,57}, {6,18}, {2,48}, {10,40}, {1,29}, {7,53}, {4,35}, {9,25}, {2,32}, {8,36}, {4,57}, {6,24}, {5,30}, {6,44}, {7,17}, {9,56}, {9,37}, {8,53}, {5,49}, {8,13}, {1,58}, {8,56}, {10,42}, {4,55}, {4,15}, {1,28}, {3,50}, {9,51}, {10,45}, {10,12}, {4,46}, {3,26}, {10,60}, {8,26}, {5,42}, {2,17}, {4,36}, {10,55}, {6,51}, {7,47}, {5,12}, {1,24}, {9,57}, {1,49}, {8,40}, {5,59}, {3,23}, {8,23}, {1,39}, {10,32}, {6,19}, {6,54}, {6,41}, {6,28}, {6,14}, {10,39}, {5,39}, {7,28}, {3,16}, {4,37}, {5,60}, {3,53}, {10,35}, {7,23}, {3,30}, {8,34}, {4,51}, {3,24}, {2,22}, {8,50}, {9,17}, {8,24}, {2,47}, {10,49}, {6,38}, {10,50}, {9,36}, {6,34}, {2,58}, {4,25}, {10,19}, {4,11}, {8,20}, {7,27}, {8,46}, {1,41}, {5,45}, {1,48}, {3,54}, {2,12}, {1,14}, {6,59}, {9,46}, {10,20}, {6,39}, {5,15}, {7,33}, {5,19}, {9,15}, {7,37}, {5,35}, {1,54}, {2,18}, {1,34}, {7,52}, {9,31}, {2,43}, {4,17}, {3,36}, {9,16}, {9,21}, {7,42}, {5,52}, {7,18} }; // ETB60.261 // Bipartite(10,50) Valencies [20,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24766945689600000000000 EdgesBipt[60][260]:={ {1,11}, {9,58}, {3,60}, {5,17}, {1,20}, {10,25}, {9,28}, {7,15}, {5,34}, {8,12}, {3,40}, {4,53}, {4,30}, {4,50}, {7,48}, {2,51}, {9,45}, {7,55}, {7,38}, {8,42}, {8,54}, {4,29}, {1,57}, {9,55}, {1,27}, {10,23}, {7,44}, {1,40}, {7,54}, {10,26}, {5,56}, {4,19}, {2,19}, {8,52}, {9,49}, {10,33}, {5,47}, {3,37}, {7,34}, {1,21}, {8,25}, {2,41}, {3,57}, {2,28}, {1,30}, {6,11}, {8,15}, {9,35}, {4,23}, {8,44}, {8,31}, {2,42}, {10,15}, {10,22}, {10,53}, {7,58}, {3,17}, {6,21}, {3,46}, {6,40}, {6,31}, {1,38}, {4,60}, {1,17}, {9,48}, {1,50}, {4,22}, {3,49}, {7,57}, {9,29}, {1,18}, {9,26}, {8,41}, {2,38}, {9,19}, {2,52}, {10,52}, {5,43}, {8,14}, {8,45}, {4,42}, {2,39}, {3,56}, {1,31}, {7,25}, {1,51}, {2,59}, {6,30}, {6,43}, {4,33}, {5,23}, {6,60}, {3,20}, {4,59}, {2,48}, {4,52}, {3,39}, {9,25}, {2,32}, {6,33}, {6,50}, {6,24}, {6,44}, {7,17}, {8,11}, {9,56}, {5,24}, {5,46}, {1,60}, {8,22}, {1,58}, {8,35}, {10,42}, {5,14}, {1,28}, {4,13}, {7,14}, {3,50}, {3,27}, {10,46}, {4,43}, {10,13}, {10,45}, {10,12}, {3,29}, {6,23}, {3,26}, {10,43}, {10,55}, {6,51}, {7,47}, {5,54}, {8,32}, {8,21}, {3,19}, {5,44}, {10,32}, {5,36}, {6,54}, {6,41}, {6,14}, {2,11}, {1,37}, {7,28}, {3,16}, {4,40}, {10,35}, {2,21}, {3,30}, {5,33}, {8,34}, {9,18}, {2,29}, {2,22}, {10,36}, {8,24}, {1,47}, {4,49}, {2,31}, {9,36}, {6,34}, {5,27}, {8,55}, {5,26}, {2,58}, {9,39}, {9,38}, {10,56}, {4,12}, {4,20}, {5,13}, {7,27}, {7,45}, {1,41}, {1,48}, {7,24}, {2,12}, {9,46}, {8,51}, {3,47}, {6,20}, {7,35}, {6,53}, {3,59}, {9,15}, {6,13}, {7,37}, {2,18}, {9,59}, {5,37}, {3,36}, {9,16}, {4,39}, {4,32}, {5,57}, {5,53}, {2,49}, {7,18}, {10,16}, {5,16} }; // ETB60.262 // Bipartite(10,50) Valencies [20,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6710886400 EdgesBipt[60][261]:={ {8,48}, {1,11}, {3,33}, {2,24}, {5,17}, {9,28}, {2,33}, {4,27}, {5,34}, {4,24}, {8,12}, {2,56}, {3,40}, {6,17}, {1,13}, {8,28}, {4,29}, {3,15}, {10,23}, {1,40}, {10,26}, {7,22}, {9,49}, {1,19}, {2,27}, {3,58}, {5,20}, {9,43}, {8,25}, {2,41}, {9,53}, {2,14}, {1,30}, {5,32}, {6,11}, {8,44}, {2,54}, {9,11}, {10,53}, {6,22}, {10,30}, {3,17}, {6,47}, {6,21}, {3,34}, {3,46}, {10,48}, {6,40}, {1,38}, {2,34}, {7,56}, {9,47}, {8,19}, {7,57}, {10,38}, {7,20}, {1,55}, {5,50}, {1,44}, {8,47}, {2,52}, {4,42}, {5,25}, {9,41}, {2,39}, {7,32}, {10,41}, {4,45}, {7,49}, {9,14}, {7,43}, {7,25}, {10,28}, {5,58}, {2,35}, {6,12}, {3,44}, {2,59}, {10,59}, {6,43}, {4,33}, {10,31}, {3,51}, {6,18}, {4,52}, {1,29}, {7,50}, {2,16}, {7,53}, {1,12}, {6,50}, {1,23}, {6,44}, {6,46}, {9,56}, {9,37}, {5,46}, {8,53}, {8,13}, {8,22}, {4,15}, {4,54}, {4,43}, {10,13}, {3,29}, {3,26}, {8,37}, {10,60}, {8,26}, {10,51}, {5,42}, {9,22}, {7,31}, {6,15}, {4,36}, {10,55}, {8,57}, {7,47}, {9,13}, {8,32}, {8,21}, {3,19}, {5,59}, {3,23}, {8,23}, {1,39}, {10,32}, {3,21}, {6,19}, {9,12}, {4,58}, {5,51}, {1,15}, {7,60}, {1,37}, {7,28}, {5,60}, {6,42}, {4,40}, {10,35}, {6,36}, {3,30}, {5,33}, {9,18}, {2,29}, {6,45}, {8,38}, {1,16}, {4,14}, {3,48}, {8,50}, {10,34}, {6,25}, {4,49}, {2,31}, {9,36}, {3,55}, {5,27}, {5,26}, {2,58}, {3,42}, {4,18}, {10,57}, {9,39}, {9,38}, {10,56}, {4,11}, {4,20}, {7,27}, {7,45}, {8,46}, {1,41}, {5,45}, {1,48}, {7,24}, {3,54}, {1,14}, {9,24}, {8,51}, {2,55}, {6,37}, {6,20}, {7,35}, {5,21}, {2,30}, {3,59}, {5,35}, {1,54}, {7,52}, {2,60}, {9,31}, {4,17}, {9,16}, {4,39}, {5,52}, {5,57}, {1,36}, {2,49}, {7,18}, {10,16} }; // ETB60.263 // Bipartite(12,48) Valencies [20,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8764883384653578240 EdgesBipt[60][262]:={ {2,44}, {8,48}, {9,58}, {10,25}, {4,27}, {4,24}, {9,60}, {2,56}, {10,37}, {4,53}, {4,30}, {12,56}, {6,17}, {2,23}, {1,13}, {5,55}, {2,51}, {12,32}, {4,29}, {1,57}, {9,55}, {8,33}, {3,43}, {12,38}, {7,41}, {7,44}, {7,54}, {10,26}, {2,15}, {9,44}, {7,22}, {2,27}, {12,42}, {3,35}, {5,47}, {11,58}, {9,43}, {7,34}, {1,21}, {2,28}, {1,30}, {4,23}, {12,50}, {10,22}, {11,28}, {7,58}, {6,29}, {3,17}, {6,21}, {2,25}, {5,40}, {6,31}, {11,33}, {1,38}, {4,60}, {9,48}, {7,56}, {1,50}, {10,38}, {1,18}, {3,14}, {7,20}, {9,32}, {9,27}, {12,20}, {12,36}, {4,41}, {8,41}, {9,19}, {2,37}, {2,52}, {10,52}, {5,43}, {12,44}, {8,14}, {7,46}, {8,45}, {11,51}, {4,42}, {2,39}, {7,32}, {11,15}, {3,56}, {8,60}, {7,49}, {11,22}, {7,13}, {7,25}, {10,28}, {2,35}, {3,44}, {2,59}, {6,55}, {4,47}, {6,43}, {12,16}, {5,23}, {3,20}, {10,31}, {1,59}, {9,34}, {6,49}, {2,13}, {2,20}, {4,59}, {10,40}, {7,30}, {8,17}, {2,16}, {7,53}, {3,32}, {11,21}, {4,35}, {11,57}, {8,36}, {6,33}, {2,32}, {1,23}, {7,17}, {9,56}, {11,30}, {5,24}, {4,48}, {8,53}, {12,28}, {8,22}, {1,45}, {5,48}, {9,20}, {4,15}, {3,50}, {9,51}, {4,54}, {10,46}, {1,33}, {10,13}, {3,29}, {3,26}, {5,28}, {8,26}, {12,26}, {9,22}, {11,54}, {6,15}, {10,58}, {4,36}, {10,43}, {10,55}, {8,57}, {6,51}, {11,52}, {8,21}, {1,42}, {3,19}, {5,31}, {6,27}, {8,58}, {1,49}, {11,39}, {5,59}, {12,40}, {12,30}, {3,23}, {12,14}, {5,36}, {1,25}, {6,19}, {11,46}, {7,29}, {6,41}, {1,35}, {1,37}, {5,60}, {3,53}, {11,16}, {8,34}, {5,33}, {4,51}, {11,27}, {6,45}, {8,38}, {1,26}, {8,50}, {10,34}, {8,24}, {2,47}, {6,25}, {10,49}, {1,47}, {2,40}, {10,50}, {11,40}, {9,36}, {12,52}, {3,55}, {4,18}, {9,39}, {12,48}, {10,19}, {3,38}, {11,45}, {12,24}, {8,46}, {5,45}, {3,41}, {3,31}, {1,14}, {9,24}, {9,46}, {6,39}, {6,37}, {3,47}, {10,14}, {11,34}, {5,19}, {5,21}, {3,59}, {6,53}, {9,15}, {6,13}, {7,37}, {5,35}, {1,54}, {9,31}, {4,17}, {11,42}, {4,39}, {12,54}, {7,42}, {8,29}, {5,52}, {5,57}, {12,18}, {6,57}, {11,18}, {2,49}, {7,18}, {10,16}, {12,60}, {5,16} }; // ETB60.264 // Bipartite(20,40) Valencies [20,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 287651804433324617760768000000000000 EdgesBipt[60][263]:={ {13,21}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {16,47}, {15,59}, {9,32}, {6,25}, {5,56}, {16,51}, {11,59}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {15,44}, {11,43}, {14,50}, {17,33}, {4,31}, {5,57}, {16,58}, {3,35}, {20,46}, {10,33}, {15,27}, {16,55}, {2,49}, {3,23}, {17,56}, {8,23}, {1,21}, {14,45}, {3,39}, {15,56}, {20,58}, {5,32}, {4,51}, {8,31}, {2,46}, {6,58}, {14,57}, {14,29}, {13,40}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {2,25}, {4,43}, {16,42}, {1,52}, {15,32}, {4,30}, {7,59}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {9,57}, {5,41}, {12,38}, {12,26}, {7,27}, {4,58}, {12,42}, {11,39}, {6,49}, {10,26}, {12,31}, {3,52}, {19,48}, {1,24}, {5,60}, {13,24}, {12,23}, {18,58}, {20,39}, {5,37}, {19,52}, {9,56}, {20,35}, {1,36}, {1,29}, {16,34}, {6,46}, {7,56}, {16,43}, {4,23}, {8,38}, {18,57}, {20,55}, {17,36}, {2,29}, {18,46}, {13,41}, {20,42}, {8,22}, {18,29}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {18,26}, {4,22}, {18,33}, {16,59}, {3,43}, {15,28}, {5,28}, {14,46}, {3,47}, {7,32}, {7,60}, {19,56}, {3,31}, {12,27}, {19,47}, {3,51}, {13,49}, {2,30}, {5,53}, {17,57}, {14,34}, {3,36}, {19,23}, {17,29}, {11,60}, {14,54}, {19,27}, {8,50}, {12,47}, {11,36}, {13,48}, {3,55}, {10,57}, {11,23}, {3,24}, {14,33}, {20,51}, {10,38}, {10,46}, {10,58}, {18,22}, {13,25}, {11,48}, {8,47}, {14,21}, {18,38}, {3,59}, {11,52}, {13,36}, {1,41}, {20,22}, {12,55}, {13,53}, {15,23}, {18,54}, {20,54}, {11,44}, {13,45}, {4,47}, {3,44}, {20,31}, {8,59}, {19,24}, {17,28}, {7,35}, {15,60}, {5,52}, {12,30}, {6,30}, {11,24}, {10,29}, {18,25}, {15,52}, {13,56}, {1,25}, {20,30}, {19,55}, {3,32}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {20,47}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {1,57}, {11,32}, {15,24}, {17,52}, {9,52}, {16,26}, {15,40}, {13,57}, {14,37}, {1,44}, {10,54}, {19,44}, {1,48}, {9,41}, {16,31}, {20,59}, {7,39}, {15,39}, {1,32}, {9,44}, {4,59}, {7,52}, {6,37}, {7,24}, {6,57}, {9,24}, {17,25}, {3,60}, {2,54}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {2,26}, {18,41}, {1,60}, {18,21}, {10,21}, {9,21}, {11,56}, {18,30}, {13,44}, {14,58}, {8,27}, {2,45}, {4,55}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {20,50}, {19,59}, {19,39}, {9,28}, {2,21}, {4,27}, {19,43}, {7,55}, {16,46}, {5,24}, {2,22}, {11,47}, {4,46}, {19,60}, {8,43}, {3,56}, {16,38}, {1,33}, {8,58}, {16,27}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {14,30}, {3,28}, {7,31}, {12,39}, {12,58}, {2,57}, {6,54}, {20,27}, {15,55}, {18,49}, {7,51}, {14,49}, {15,47}, {11,31}, {1,53}, {15,48}, {19,35}, {17,60}, {6,26}, {5,21}, {2,50}, {6,41}, {10,53}, {17,24}, {17,40}, {20,23}, {12,34}, {9,60}, {17,21}, {19,36}, {6,42}, {16,23}, {4,35}, {19,32}, {13,33}, {15,51}, {18,53}, {14,25}, {5,49}, {1,56}, {20,34}, {11,28}, {8,55}, {16,35}, {14,42}, {10,34}, {17,53}, {3,40}, {13,60}, {8,35}, {10,45}, {8,54}, {6,21}, {17,45}, {9,45}, {12,59}, {14,41}, {18,50}, {4,26}, {16,54}, {16,39}, {17,37}, {13,28}, {1,28}, {3,27}, {2,38}, {15,36}, {15,31}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {19,51}, {5,44}, {5,25}, {12,54}, {9,53}, {14,53}, {8,39}, {14,22}, {5,36}, {15,43}, {4,39}, {12,35}, {7,36}, {17,32}, {13,52}, {6,50}, {1,37}, {2,42}, {18,42}, {6,33}, {18,34}, {12,51}, {17,49}, {9,48}, {5,48}, {17,48}, {5,33}, {2,58}, {18,37}, {4,54}, {10,49}, {9,37} }; // ETB60.265 // Bipartite(30,30) Valencies [20,20] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 172800 EdgesBipt[60][264]:={ {26,53}, {3,42}, {26,54}, {26,50}, {6,36}, {30,37}, {30,54}, {11,42}, {20,33}, {30,43}, {19,41}, {25,42}, {22,37}, {30,59}, {7,47}, {22,53}, {28,56}, {26,33}, {17,56}, {20,50}, {7,57}, {3,49}, {4,57}, {14,49}, {18,58}, {5,52}, {8,37}, {8,31}, {30,45}, {17,54}, {2,57}, {18,51}, {11,34}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {2,39}, {18,38}, {7,53}, {15,50}, {1,32}, {19,51}, {8,36}, {28,54}, {18,49}, {23,56}, {24,52}, {19,58}, {12,52}, {16,54}, {5,43}, {16,57}, {1,41}, {3,54}, {10,55}, {21,35}, {20,42}, {2,38}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {26,47}, {29,50}, {10,42}, {14,40}, {28,45}, {9,41}, {17,43}, {21,46}, {23,58}, {11,35}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {30,56}, {28,58}, {21,57}, {23,49}, {30,60}, {12,35}, {20,57}, {11,36}, {28,44}, {1,55}, {19,40}, {24,48}, {15,59}, {10,51}, {15,51}, {30,51}, {13,53}, {28,49}, {27,32}, {28,32}, {18,54}, {25,56}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {25,45}, {9,53}, {6,31}, {1,31}, {2,41}, {6,35}, {17,32}, {5,50}, {21,44}, {26,58}, {23,33}, {5,45}, {3,48}, {21,42}, {4,41}, {13,54}, {7,51}, {22,32}, {20,54}, {9,55}, {15,43}, {29,51}, {27,56}, {2,36}, {12,38}, {11,44}, {26,44}, {30,34}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {16,42}, {12,44}, {15,34}, {2,60}, {18,59}, {6,40}, {1,50}, {24,44}, {20,39}, {5,33}, {4,39}, {21,55}, {6,57}, {12,56}, {25,60}, {29,32}, {22,47}, {16,43}, {10,50}, {24,43}, {17,48}, {23,52}, {26,60}, {1,42}, {16,34}, {10,48}, {22,41}, {4,45}, {28,39}, {30,40}, {20,43}, {20,60}, {12,39}, {7,31}, {14,53}, {26,43}, {5,38}, {22,60}, {1,37}, {14,50}, {28,52}, {21,37}, {25,38}, {27,51}, {26,37}, {15,55}, {14,35}, {12,41}, {5,42}, {21,59}, {3,31}, {2,47}, {23,39}, {27,60}, {24,58}, {27,36}, {25,46}, {15,57}, {26,49}, {20,49}, {20,40}, {21,40}, {5,51}, {25,33}, {11,58}, {24,49}, {25,47}, {11,41}, {19,44}, {24,55}, {9,52}, {8,34}, {23,46}, {12,50}, {15,40}, {18,34}, {10,31}, {22,38}, {11,49}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {27,33}, {18,48}, {3,36}, {14,36}, {4,58}, {11,50}, {11,53}, {2,51}, {6,37}, {3,37}, {29,36}, {1,35}, {23,32}, {2,58}, {26,35}, {29,46}, {7,36}, {28,60}, {10,46}, {22,33}, {20,31}, {8,33}, {29,47}, {9,44}, {15,60}, {24,53}, {22,59}, {9,42}, {19,57}, {8,55}, {1,54}, {17,36}, {18,44}, {9,35}, {30,55}, {1,60}, {27,59}, {8,41}, {28,37}, {15,42}, {13,46}, {17,50}, {6,53}, {25,52}, {29,45}, {5,60}, {16,46}, {27,48}, {27,54}, {23,38}, {16,36}, {12,54}, {29,40}, {6,45}, {7,40}, {10,37}, {6,44}, {22,52}, {18,60}, {9,46}, {10,52}, {15,37}, {22,48}, {7,35}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {20,38}, {30,33}, {14,41}, {24,57}, {27,40}, {5,34}, {26,34}, {1,43}, {15,46}, {29,56}, {13,36}, {26,59}, {4,49}, {29,44}, {5,48}, {9,40}, {25,59}, {8,45}, {6,47}, {11,57}, {1,34}, {30,50}, {22,40}, {4,47}, {24,35}, {13,37}, {13,59}, {6,46}, {12,57}, {23,44}, {19,43}, {14,46}, {10,57}, {16,31}, {24,42}, {26,40}, {11,59}, {6,50}, {19,56}, {17,31}, {23,41}, {8,51}, {25,40}, {19,36}, {9,34}, {14,57}, {3,60}, {16,41}, {17,44}, {28,59}, {2,33}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {17,59}, {18,36}, {10,59}, {6,55}, {4,32}, {19,39}, {12,59}, {21,53}, {15,35}, {13,41}, {4,55}, {8,54}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {23,60}, {30,49}, {13,44}, {16,40}, {1,47}, {29,34}, {8,42}, {15,38}, {7,38}, {22,39}, {8,32}, {7,52}, {13,31}, {12,53}, {5,31}, {29,43}, {4,51}, {10,38}, {18,33}, {21,33}, {17,38}, {6,54}, {23,55}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {5,49}, {28,34}, {13,39}, {11,43}, {3,52}, {20,51}, {2,53}, {28,48}, {19,42}, {24,56}, {27,58}, {19,50}, {13,55}, {18,46}, {24,46}, {18,56}, {1,45}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {29,58}, {12,51}, {20,34}, {7,44}, {27,44}, {11,46}, {9,56}, {11,54}, {3,41}, {15,39}, {10,33}, {19,47}, {13,34}, {14,56}, {28,51}, {27,52}, {15,49}, {5,37}, {25,43}, {29,49}, {7,41}, {14,44}, {12,60}, {20,59}, {1,36}, {17,57}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {29,52}, {3,39}, {7,56}, {13,58}, {11,55}, {29,48}, {19,45}, {16,44}, {4,50}, {23,31}, {2,50}, {17,41}, {4,48}, {2,48}, {23,59}, {16,58}, {10,56}, {9,51}, {9,38}, {27,37}, {25,57}, {1,33}, {2,32}, {6,33}, {14,55}, {29,39}, {15,52}, {16,50}, {28,46}, {24,38}, {19,48}, {9,36}, {10,40}, {29,53}, {21,41}, {12,40}, {17,40}, {30,52}, {8,46}, {14,38}, {27,39}, {20,56}, {25,35}, {13,56}, {19,46}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {5,35}, {3,45}, {4,43}, {29,55}, {24,45}, {16,32}, {9,32}, {3,58}, {30,35}, {18,32}, {21,32}, {24,40}, {22,31}, {20,47}, {14,58}, {28,55}, {22,58}, {16,45}, {30,48}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {28,36}, {23,37}, {10,45}, {23,42}, {2,54}, {21,49}, {20,46}, {16,59}, {27,43}, {12,36}, {22,44}, {13,49}, {28,53}, {15,56}, {3,33}, {27,35}, {1,57}, {27,50}, {18,41}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {13,60}, {25,55}, {24,41}, {7,33}, {12,31}, {16,47}, {20,45}, {29,35}, {21,60}, {26,55}, {30,39}, {26,45}, {22,57}, {28,33}, {4,35}, {10,47}, {2,35}, {17,33}, {30,47}, {17,47}, {25,37}, {6,59}, {11,60}, {8,53}, {6,41}, {30,46}, {4,36}, {1,58}, {5,54}, {2,31} }; // ETB60.266 // Bipartite(30,30) Valencies [20,20] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 27400560283100769789419716608000000000000 EdgesBipt[60][265]:={ {26,53}, {3,42}, {7,49}, {26,50}, {13,40}, {6,36}, {24,33}, {30,54}, {4,46}, {24,59}, {25,42}, {22,37}, {30,59}, {17,56}, {4,60}, {20,50}, {7,57}, {4,57}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {30,45}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {27,53}, {15,54}, {10,54}, {18,38}, {15,50}, {19,51}, {28,54}, {13,43}, {19,37}, {23,56}, {15,33}, {19,58}, {16,54}, {5,43}, {16,57}, {22,51}, {12,32}, {30,44}, {5,56}, {23,50}, {3,54}, {10,55}, {21,35}, {25,58}, {2,38}, {2,52}, {23,53}, {4,52}, {19,49}, {19,60}, {1,49}, {24,39}, {7,54}, {16,33}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {7,60}, {13,48}, {26,47}, {29,50}, {15,45}, {10,42}, {14,40}, {28,45}, {9,41}, {17,43}, {23,58}, {23,34}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {25,51}, {8,52}, {5,47}, {28,43}, {5,55}, {30,56}, {16,51}, {28,58}, {21,57}, {11,47}, {23,49}, {30,60}, {18,50}, {12,35}, {12,48}, {19,54}, {1,55}, {19,40}, {24,48}, {15,59}, {10,51}, {28,42}, {15,51}, {30,51}, {5,53}, {28,49}, {27,32}, {18,54}, {2,37}, {9,50}, {14,43}, {25,45}, {9,53}, {28,57}, {8,40}, {2,41}, {1,31}, {2,59}, {17,32}, {6,35}, {5,50}, {21,44}, {26,58}, {20,44}, {3,48}, {27,57}, {21,42}, {18,53}, {20,58}, {13,54}, {29,38}, {7,51}, {7,34}, {22,45}, {27,56}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {20,32}, {26,32}, {3,51}, {18,42}, {5,46}, {16,42}, {12,44}, {8,58}, {8,35}, {18,59}, {11,38}, {24,44}, {4,39}, {27,41}, {6,57}, {12,56}, {25,60}, {29,32}, {16,43}, {8,47}, {6,39}, {2,44}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {4,45}, {28,39}, {11,56}, {20,43}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {22,60}, {1,37}, {14,50}, {28,52}, {3,50}, {27,51}, {26,37}, {2,34}, {14,35}, {12,41}, {21,59}, {11,32}, {2,47}, {10,43}, {27,60}, {27,36}, {25,46}, {15,57}, {29,41}, {26,49}, {20,49}, {20,52}, {2,56}, {20,40}, {21,51}, {16,55}, {25,33}, {11,58}, {14,32}, {27,38}, {17,53}, {26,52}, {11,41}, {22,46}, {8,34}, {23,46}, {12,50}, {4,33}, {2,55}, {10,31}, {11,49}, {30,57}, {8,56}, {16,60}, {7,37}, {21,45}, {19,52}, {27,33}, {18,48}, {16,48}, {3,36}, {17,46}, {7,42}, {4,58}, {9,54}, {11,50}, {24,50}, {26,31}, {12,47}, {21,56}, {11,53}, {28,40}, {23,32}, {2,58}, {26,35}, {29,46}, {7,36}, {28,60}, {9,39}, {10,46}, {22,33}, {14,37}, {7,43}, {20,31}, {29,47}, {9,44}, {15,60}, {14,59}, {24,53}, {9,42}, {21,50}, {19,57}, {30,38}, {30,53}, {8,55}, {16,37}, {1,54}, {27,45}, {18,44}, {9,35}, {12,45}, {30,36}, {15,36}, {10,36}, {1,60}, {27,59}, {8,41}, {28,37}, {15,42}, {13,46}, {2,40}, {17,50}, {6,53}, {25,52}, {16,46}, {9,59}, {27,48}, {27,54}, {4,40}, {23,38}, {16,36}, {12,54}, {29,40}, {1,39}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {22,52}, {18,60}, {10,52}, {24,51}, {7,55}, {22,48}, {4,42}, {27,47}, {3,53}, {20,38}, {30,33}, {14,41}, {9,60}, {24,57}, {5,34}, {26,34}, {1,43}, {29,56}, {1,52}, {13,36}, {26,59}, {3,35}, {4,49}, {29,44}, {14,31}, {7,46}, {6,47}, {20,37}, {5,59}, {5,58}, {1,34}, {30,41}, {30,50}, {22,40}, {24,35}, {13,37}, {2,49}, {12,57}, {21,54}, {19,43}, {23,44}, {14,46}, {6,56}, {10,57}, {5,40}, {16,31}, {22,36}, {24,42}, {26,40}, {11,59}, {6,50}, {28,31}, {1,40}, {17,31}, {1,48}, {15,44}, {23,41}, {25,40}, {19,36}, {3,60}, {16,52}, {17,44}, {3,57}, {6,32}, {17,35}, {24,47}, {9,47}, {17,59}, {18,36}, {29,59}, {19,39}, {12,59}, {21,53}, {15,35}, {5,41}, {15,48}, {4,55}, {19,33}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {19,55}, {16,40}, {26,41}, {6,51}, {3,59}, {9,33}, {29,34}, {20,35}, {15,38}, {22,39}, {8,32}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {29,43}, {4,51}, {10,60}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {5,49}, {28,34}, {13,39}, {11,43}, {2,53}, {28,48}, {19,42}, {24,56}, {17,34}, {13,55}, {18,56}, {1,45}, {17,58}, {6,42}, {29,58}, {22,54}, {13,57}, {12,51}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {9,56}, {4,31}, {30,32}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {28,51}, {26,38}, {3,56}, {16,39}, {30,42}, {5,37}, {25,43}, {29,49}, {3,44}, {14,44}, {12,60}, {20,59}, {25,54}, {1,36}, {24,32}, {9,45}, {13,52}, {18,45}, {29,52}, {2,46}, {3,39}, {13,58}, {11,55}, {23,35}, {15,41}, {19,45}, {23,31}, {2,50}, {17,41}, {4,48}, {8,43}, {23,59}, {16,58}, {7,39}, {9,51}, {9,38}, {25,57}, {1,33}, {2,32}, {6,33}, {14,55}, {22,34}, {28,46}, {24,38}, {19,48}, {9,36}, {26,56}, {10,40}, {29,53}, {18,47}, {29,37}, {21,41}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {18,57}, {27,39}, {7,58}, {20,56}, {6,38}, {19,46}, {11,40}, {13,42}, {9,57}, {25,31}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {29,55}, {24,45}, {9,32}, {30,35}, {18,32}, {17,55}, {21,32}, {22,31}, {20,47}, {14,58}, {28,55}, {22,58}, {16,45}, {30,48}, {19,34}, {28,36}, {10,45}, {23,37}, {15,53}, {20,46}, {22,42}, {12,36}, {13,49}, {21,39}, {15,56}, {3,33}, {27,35}, {1,57}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {22,43}, {16,49}, {10,58}, {29,31}, {13,60}, {25,55}, {27,42}, {24,41}, {7,33}, {15,47}, {29,35}, {21,60}, {26,55}, {13,45}, {30,39}, {4,37}, {22,57}, {28,33}, {2,35}, {20,53}, {30,47}, {17,47}, {8,50}, {21,38}, {24,60}, {25,37}, {6,59}, {8,53}, {6,41}, {10,49}, {4,36}, {1,58}, {2,31} }; // ETB60.267 // Bipartite(30,30) Valencies [20,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 70448201072640000000 EdgesBipt[60][266]:={ {26,53}, {7,49}, {26,50}, {6,36}, {30,54}, {11,42}, {14,48}, {4,46}, {20,33}, {24,59}, {25,42}, {22,37}, {30,59}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {20,50}, {7,57}, {3,49}, {14,49}, {8,37}, {14,47}, {22,55}, {6,60}, {12,42}, {30,45}, {17,54}, {2,57}, {18,51}, {9,58}, {3,55}, {10,54}, {7,53}, {15,50}, {1,32}, {28,54}, {13,43}, {19,37}, {23,56}, {18,49}, {9,49}, {15,33}, {19,58}, {16,54}, {5,43}, {22,51}, {12,32}, {30,44}, {5,56}, {29,42}, {23,50}, {23,54}, {10,55}, {21,35}, {25,58}, {20,42}, {2,38}, {23,53}, {23,45}, {2,52}, {4,52}, {19,49}, {19,60}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {25,49}, {7,60}, {26,47}, {29,57}, {29,50}, {15,45}, {25,32}, {14,40}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {24,36}, {14,33}, {11,35}, {8,59}, {8,38}, {8,52}, {1,53}, {26,57}, {28,43}, {30,56}, {16,51}, {17,42}, {28,58}, {30,60}, {20,57}, {11,36}, {28,44}, {19,54}, {10,51}, {15,51}, {30,51}, {5,53}, {13,53}, {28,32}, {18,54}, {4,59}, {17,51}, {2,37}, {9,50}, {25,45}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {2,59}, {5,50}, {23,33}, {20,44}, {5,45}, {3,48}, {8,57}, {13,54}, {29,38}, {22,32}, {7,34}, {9,55}, {15,43}, {29,51}, {27,56}, {11,44}, {26,44}, {30,34}, {20,32}, {18,31}, {26,32}, {3,51}, {18,42}, {18,55}, {15,34}, {12,44}, {8,35}, {18,59}, {11,38}, {6,40}, {24,44}, {1,50}, {9,31}, {5,33}, {4,39}, {27,41}, {21,55}, {6,57}, {12,56}, {25,60}, {22,47}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {19,35}, {1,42}, {8,49}, {10,48}, {19,31}, {28,39}, {11,56}, {30,40}, {4,44}, {5,36}, {24,54}, {12,39}, {21,36}, {7,31}, {14,53}, {5,38}, {1,37}, {14,50}, {28,52}, {21,37}, {3,50}, {25,38}, {27,51}, {26,37}, {2,34}, {15,55}, {14,35}, {12,41}, {5,42}, {6,49}, {3,31}, {2,47}, {23,39}, {10,43}, {27,60}, {27,36}, {25,46}, {29,41}, {26,49}, {20,49}, {20,52}, {2,56}, {20,40}, {21,51}, {21,40}, {5,51}, {29,60}, {16,55}, {11,58}, {14,32}, {9,37}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {22,46}, {24,55}, {9,52}, {8,34}, {4,33}, {15,40}, {21,34}, {18,34}, {2,55}, {10,31}, {22,38}, {30,57}, {8,56}, {19,32}, {7,37}, {21,45}, {19,52}, {27,33}, {3,43}, {16,48}, {3,36}, {7,42}, {4,58}, {11,50}, {12,47}, {21,56}, {11,53}, {12,49}, {3,37}, {28,40}, {29,36}, {1,35}, {26,35}, {10,46}, {22,33}, {14,37}, {7,43}, {11,45}, {8,33}, {13,50}, {15,60}, {14,59}, {22,59}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {27,45}, {17,36}, {18,44}, {9,35}, {12,45}, {30,36}, {30,55}, {15,36}, {10,36}, {1,60}, {8,41}, {28,37}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {25,52}, {29,45}, {5,60}, {16,46}, {27,48}, {29,33}, {24,34}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {6,45}, {10,37}, {6,44}, {22,52}, {2,42}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {23,48}, {21,43}, {20,38}, {14,41}, {24,57}, {9,60}, {27,40}, {26,34}, {1,43}, {15,46}, {29,56}, {1,52}, {26,59}, {3,35}, {29,44}, {5,48}, {26,48}, {9,40}, {7,46}, {6,47}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {30,41}, {22,40}, {4,47}, {13,37}, {24,31}, {10,53}, {6,46}, {2,49}, {12,57}, {23,44}, {19,43}, {6,56}, {3,46}, {16,31}, {22,36}, {24,42}, {26,40}, {27,34}, {11,59}, {28,31}, {23,41}, {9,34}, {14,57}, {3,60}, {16,52}, {17,44}, {28,59}, {2,33}, {17,35}, {6,32}, {15,31}, {24,47}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {4,32}, {15,58}, {29,59}, {19,39}, {12,59}, {15,35}, {5,41}, {15,48}, {4,55}, {3,34}, {18,39}, {9,48}, {14,34}, {23,60}, {30,49}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {22,39}, {7,52}, {4,54}, {13,31}, {29,43}, {4,51}, {10,38}, {21,33}, {17,38}, {6,54}, {1,46}, {25,39}, {14,52}, {13,39}, {11,43}, {29,54}, {3,52}, {28,38}, {2,53}, {28,48}, {24,56}, {19,42}, {27,58}, {19,50}, {18,46}, {24,46}, {23,51}, {18,56}, {1,45}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {29,58}, {22,54}, {13,57}, {12,51}, {20,34}, {25,34}, {9,56}, {4,31}, {30,32}, {11,54}, {3,41}, {10,33}, {10,39}, {19,47}, {23,57}, {13,34}, {14,56}, {28,51}, {26,38}, {3,56}, {27,52}, {15,49}, {16,39}, {30,42}, {1,38}, {25,43}, {14,44}, {12,60}, {25,50}, {20,59}, {25,54}, {18,40}, {17,57}, {24,32}, {20,48}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {13,58}, {23,35}, {12,34}, {15,41}, {29,48}, {19,45}, {16,44}, {2,50}, {17,41}, {4,48}, {21,52}, {2,48}, {23,59}, {16,58}, {7,39}, {9,51}, {10,44}, {27,37}, {25,57}, {2,32}, {14,55}, {29,39}, {15,52}, {28,46}, {9,36}, {26,56}, {10,40}, {29,53}, {27,49}, {18,47}, {21,41}, {12,40}, {7,45}, {20,41}, {14,38}, {18,57}, {7,58}, {20,56}, {25,35}, {19,46}, {8,48}, {13,42}, {17,60}, {25,31}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {16,53}, {3,58}, {18,32}, {24,40}, {26,42}, {22,31}, {20,47}, {28,55}, {30,31}, {22,58}, {7,50}, {5,39}, {19,34}, {28,36}, {13,47}, {23,42}, {21,49}, {3,40}, {16,59}, {27,43}, {12,36}, {27,31}, {22,44}, {13,49}, {28,53}, {15,56}, {3,33}, {27,35}, {1,57}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {22,43}, {4,53}, {10,58}, {13,60}, {24,41}, {12,31}, {16,47}, {29,35}, {21,60}, {26,55}, {13,45}, {30,39}, {4,37}, {28,33}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {10,32}, {30,47}, {25,53}, {8,50}, {25,37}, {24,60}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {30,46}, {12,46}, {4,36}, {1,58}, {5,54} }; // ETB60.268 // Bipartite(15,45) Valencies [21,7] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9478929289052160 EdgesBipt[60][267]:={ {13,21}, {6,52}, {15,59}, {8,57}, {11,49}, {9,32}, {6,25}, {5,22}, {10,18}, {9,17}, {5,56}, {4,28}, {5,43}, {2,55}, {8,26}, {1,40}, {13,39}, {15,44}, {14,50}, {4,31}, {8,40}, {10,33}, {11,57}, {14,31}, {15,27}, {11,53}, {14,56}, {3,23}, {8,23}, {12,16}, {10,39}, {2,18}, {1,21}, {3,21}, {14,45}, {3,39}, {1,35}, {7,30}, {13,43}, {14,29}, {10,48}, {14,44}, {2,33}, {6,32}, {15,57}, {11,27}, {1,20}, {10,47}, {10,17}, {12,28}, {2,25}, {12,48}, {4,43}, {2,52}, {4,30}, {12,46}, {4,16}, {7,45}, {9,57}, {5,41}, {12,38}, {13,30}, {4,58}, {6,39}, {6,49}, {2,17}, {12,31}, {3,52}, {12,40}, {10,20}, {13,47}, {13,24}, {1,24}, {2,48}, {12,23}, {5,37}, {9,56}, {9,35}, {1,36}, {15,19}, {13,51}, {2,56}, {6,46}, {10,35}, {13,58}, {11,18}, {8,38}, {13,26}, {9,47}, {5,50}, {6,24}, {2,29}, {13,19}, {2,36}, {13,41}, {9,36}, {6,34}, {12,49}, {8,42}, {9,20}, {5,54}, {1,18}, {3,38}, {10,59}, {15,28}, {6,17}, {5,28}, {14,46}, {4,18}, {9,46}, {14,35}, {1,42}, {7,32}, {7,60}, {3,31}, {3,51}, {11,22}, {1,39}, {13,49}, {7,37}, {6,27}, {7,53}, {11,42}, {5,35}, {14,34}, {3,36}, {15,50}, {11,60}, {13,17}, {14,60}, {4,32}, {4,60}, {2,44}, {1,30}, {8,56}, {1,55}, {3,30}, {9,51}, {3,16}, {11,23}, {3,24}, {2,51}, {15,37}, {10,38}, {6,16}, {15,34}, {11,33}, {11,48}, {8,24}, {8,41}, {9,38}, {9,26}, {3,59}, {3,29}, {11,52}, {13,36}, {4,45}, {12,55}, {1,51}, {10,19}, {3,44}, {13,45}, {4,47}, {8,59}, {11,34}, {7,35}, {5,52}, {15,58}, {4,33}, {7,50}, {4,57}, {9,31}, {10,44}, {10,29}, {7,58}, {15,52}, {13,56}, {1,25}, {6,19}, {4,17}, {9,16}, {5,39}, {8,53}, {7,28}, {12,18}, {7,23}, {6,22}, {15,35}, {1,57}, {6,31}, {12,25}, {3,22}, {15,49}, {10,54}, {1,48}, {14,40}, {9,41}, {4,29}, {1,54}, {4,59}, {7,52}, {6,37}, {6,57}, {5,31}, {3,60}, {4,44}, {7,40}, {2,41}, {12,43}, {5,20}, {3,53}, {2,26}, {1,60}, {14,55}, {9,21}, {11,56}, {8,29}, {9,23}, {14,16}, {8,27}, {5,46}, {6,47}, {13,32}, {14,26}, {1,45}, {10,50}, {11,30}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {15,29}, {14,59}, {4,46}, {8,43}, {14,19}, {11,45}, {1,33}, {5,58}, {3,54}, {8,58}, {12,36}, {3,45}, {5,26}, {7,47}, {2,37}, {4,42}, {12,53}, {14,30}, {12,33}, {11,19}, {12,58}, {6,54}, {14,49}, {13,34}, {11,41}, {7,25}, {9,50}, {7,22}, {15,42}, {10,53}, {12,34}, {8,44}, {6,42}, {15,51}, {14,20}, {14,25}, {15,21}, {13,54}, {1,50}, {11,37}, {2,47}, {5,18}, {5,16}, {8,55}, {10,24}, {10,34}, {13,60}, {7,17}, {2,40}, {8,54}, {15,22}, {14,41}, {15,20}, {13,28}, {7,20}, {9,27}, {7,38}, {2,59}, {15,36}, {6,55}, {8,28}, {7,43}, {1,27}, {10,23}, {9,53}, {3,37}, {8,39}, {9,42}, {10,32}, {15,43}, {12,19}, {8,25}, {4,48}, {2,32}, {12,21}, {12,51}, {11,26}, {3,46}, {5,48}, {5,33}, {11,38}, {10,49}, {6,40} }; // ETB60.269 // Bipartite(5,55) Valencies [22,2] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1013394610282936065952894156800000000000 EdgesBipt[60][268]:={ {4,35}, {5,32}, {5,14}, {4,58}, {3,56}, {1,11}, {5,52}, {4,55}, {2,22}, {4,60}, {3,38}, {5,42}, {5,57}, {4,8}, {1,31}, {3,46}, {4,48}, {1,46}, {2,20}, {4,40}, {3,53}, {5,34}, {2,47}, {2,37}, {5,24}, {1,9}, {1,56}, {1,44}, {2,55}, {5,7}, {3,31}, {2,15}, {3,51}, {5,9}, {1,29}, {3,48}, {5,37}, {3,18}, {5,49}, {3,41}, {1,34}, {3,11}, {2,10}, {4,20}, {2,52}, {1,36}, {3,13}, {2,50}, {2,32}, {1,16}, {4,33}, {2,17}, {4,28}, {4,53}, {4,43}, {5,19}, {3,23}, {4,45}, {5,29}, {2,42}, {4,30}, {1,19}, {2,40}, {2,57}, {2,35}, {4,15}, {4,25}, {1,59}, {1,26}, {5,59}, {4,38}, {5,22}, {2,27}, {3,58}, {1,54}, {5,27}, {1,39}, {2,12}, {1,49}, {5,47}, {3,28}, {3,26}, {5,17}, {3,21}, {1,14}, {1,51}, {1,41}, {3,16}, {4,18}, {3,8}, {4,50}, {3,6}, {2,25}, {5,12}, {3,36}, {2,60}, {2,7}, {3,43}, {5,44}, {3,33}, {4,23}, {5,39}, {4,13}, {1,21}, {2,30}, {1,6}, {4,10}, {1,24}, {5,54}, {2,45} }; // ETB60.270 // Bipartite(16,44) Valencies [22,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 6738416109933289165816646860800000000 EdgesBipt[60][269]:={ {13,21}, {7,48}, {6,38}, {11,40}, {10,37}, {16,47}, {15,59}, {9,32}, {6,25}, {9,17}, {10,18}, {5,56}, {16,51}, {11,59}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {16,22}, {15,44}, {11,43}, {14,50}, {4,31}, {5,57}, {16,58}, {3,35}, {10,33}, {3,19}, {15,27}, {16,55}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {14,45}, {3,39}, {15,56}, {5,32}, {4,51}, {8,31}, {2,46}, {6,58}, {14,57}, {14,29}, {13,40}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {10,17}, {2,25}, {4,43}, {16,42}, {1,52}, {15,32}, {4,30}, {7,59}, {8,30}, {12,46}, {9,33}, {1,17}, {8,46}, {9,57}, {5,41}, {12,38}, {12,26}, {7,27}, {4,58}, {12,42}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {1,24}, {5,60}, {13,24}, {12,23}, {5,37}, {13,20}, {9,56}, {1,36}, {6,18}, {1,29}, {15,19}, {16,34}, {6,46}, {7,56}, {16,43}, {4,23}, {8,38}, {2,29}, {13,41}, {8,22}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {9,20}, {4,22}, {8,19}, {16,59}, {3,43}, {15,28}, {6,17}, {5,28}, {14,46}, {8,18}, {4,18}, {3,47}, {7,32}, {7,60}, {3,31}, {12,27}, {3,51}, {13,49}, {2,30}, {5,53}, {14,34}, {3,36}, {11,60}, {13,17}, {14,54}, {7,19}, {16,18}, {8,50}, {12,47}, {11,36}, {3,55}, {13,48}, {10,57}, {11,23}, {3,24}, {14,33}, {10,38}, {10,46}, {10,58}, {13,25}, {11,48}, {8,47}, {14,21}, {3,59}, {11,52}, {13,36}, {1,41}, {12,55}, {13,53}, {15,23}, {11,44}, {4,47}, {3,44}, {13,45}, {8,59}, {7,35}, {15,60}, {5,52}, {12,30}, {6,30}, {11,24}, {10,29}, {15,52}, {13,56}, {1,25}, {3,32}, {7,28}, {6,45}, {12,18}, {13,29}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {16,30}, {6,22}, {4,34}, {10,25}, {15,35}, {1,57}, {11,32}, {15,24}, {9,52}, {16,26}, {15,40}, {13,57}, {14,37}, {1,44}, {10,54}, {1,48}, {9,41}, {16,31}, {7,39}, {15,39}, {1,32}, {9,44}, {4,59}, {7,52}, {6,37}, {7,24}, {6,57}, {9,24}, {3,60}, {2,54}, {7,40}, {2,41}, {12,50}, {12,43}, {5,20}, {2,26}, {1,60}, {10,21}, {9,21}, {11,56}, {13,44}, {14,58}, {8,27}, {2,45}, {4,55}, {3,48}, {13,32}, {14,26}, {1,45}, {10,50}, {9,28}, {2,21}, {4,27}, {7,55}, {16,46}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {3,56}, {16,38}, {1,33}, {8,58}, {16,27}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {10,41}, {3,28}, {14,30}, {7,31}, {11,19}, {12,39}, {12,58}, {2,57}, {6,54}, {15,55}, {7,51}, {14,49}, {15,47}, {11,31}, {1,53}, {15,48}, {6,26}, {14,18}, {5,21}, {2,50}, {6,41}, {10,53}, {12,34}, {9,60}, {6,42}, {16,23}, {4,35}, {13,33}, {15,51}, {14,25}, {5,49}, {1,56}, {11,28}, {8,55}, {16,35}, {11,20}, {14,42}, {10,34}, {5,17}, {3,40}, {13,60}, {8,35}, {10,45}, {8,54}, {6,21}, {9,45}, {12,59}, {14,41}, {4,26}, {16,54}, {15,20}, {16,39}, {13,28}, {1,28}, {3,27}, {7,20}, {2,38}, {15,36}, {15,31}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {5,44}, {5,25}, {12,54}, {9,53}, {14,53}, {4,19}, {8,39}, {14,22}, {14,17}, {5,36}, {16,19}, {15,43}, {4,39}, {12,35}, {7,36}, {12,19}, {13,52}, {6,50}, {1,37}, {2,42}, {6,33}, {12,51}, {9,48}, {5,48}, {5,33}, {2,58}, {4,54}, {10,49}, {9,37} }; // ETB60.271 // Bipartite(27,33) Valencies [22,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18235072868403562294858821402624000000000 EdgesBipt[60][270]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {16,28}, {20,33}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {20,50}, {3,49}, {5,32}, {22,49}, {18,58}, {14,47}, {6,60}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {9,58}, {6,48}, {3,55}, {22,56}, {15,54}, {2,39}, {7,28}, {7,53}, {1,32}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {23,56}, {9,49}, {10,29}, {15,33}, {24,52}, {19,58}, {6,28}, {12,52}, {2,30}, {5,56}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {25,58}, {20,42}, {2,38}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {19,38}, {18,28}, {8,44}, {25,49}, {4,34}, {13,29}, {22,28}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {21,46}, {17,45}, {14,33}, {24,36}, {11,35}, {8,59}, {25,28}, {8,38}, {22,29}, {11,29}, {1,53}, {26,57}, {5,47}, {17,42}, {21,57}, {11,47}, {12,48}, {20,57}, {11,36}, {1,55}, {19,40}, {24,48}, {15,51}, {5,53}, {13,53}, {18,54}, {25,56}, {4,59}, {25,41}, {7,59}, {17,51}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {4,41}, {8,39}, {22,32}, {20,54}, {7,34}, {9,55}, {15,43}, {2,36}, {11,44}, {26,44}, {20,32}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {18,55}, {15,34}, {24,30}, {8,35}, {2,60}, {11,38}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {21,55}, {6,57}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {26,60}, {16,34}, {19,31}, {22,41}, {11,56}, {4,44}, {20,60}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {21,37}, {25,38}, {27,51}, {1,29}, {15,55}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,60}, {24,58}, {27,36}, {25,46}, {15,57}, {9,28}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {8,56}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {27,33}, {3,43}, {18,48}, {3,36}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {23,32}, {26,35}, {9,39}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {15,60}, {14,59}, {22,59}, {9,42}, {13,35}, {16,37}, {13,32}, {27,45}, {17,36}, {26,39}, {3,28}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {25,52}, {5,60}, {16,46}, {27,48}, {15,30}, {24,34}, {27,54}, {4,40}, {23,38}, {12,54}, {6,45}, {18,43}, {7,40}, {10,37}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {7,35}, {21,43}, {23,48}, {20,38}, {14,41}, {4,29}, {9,60}, {24,57}, {27,40}, {1,43}, {15,46}, {1,52}, {1,59}, {26,59}, {4,49}, {5,48}, {26,48}, {9,40}, {25,59}, {7,46}, {8,45}, {19,28}, {5,59}, {11,57}, {11,33}, {1,34}, {4,47}, {22,40}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {13,59}, {6,46}, {21,54}, {12,57}, {19,43}, {23,44}, {9,30}, {3,46}, {16,31}, {24,42}, {27,34}, {18,30}, {11,59}, {1,40}, {19,56}, {8,29}, {23,41}, {8,51}, {25,40}, {9,34}, {14,57}, {3,60}, {16,41}, {13,28}, {16,52}, {17,44}, {3,57}, {2,33}, {17,35}, {15,31}, {10,35}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {4,32}, {15,58}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {23,60}, {13,44}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {13,31}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {24,28}, {3,52}, {20,51}, {2,53}, {27,58}, {19,50}, {13,55}, {18,46}, {23,51}, {24,46}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {12,51}, {7,44}, {25,34}, {19,59}, {4,31}, {11,54}, {15,39}, {19,47}, {23,57}, {13,34}, {14,56}, {22,50}, {26,38}, {27,52}, {15,49}, {1,38}, {25,43}, {7,41}, {2,29}, {20,30}, {14,44}, {12,60}, {25,50}, {20,59}, {18,40}, {17,57}, {26,30}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {23,35}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {21,52}, {2,48}, {23,59}, {16,58}, {10,56}, {14,60}, {9,51}, {10,44}, {27,37}, {12,30}, {2,32}, {6,33}, {22,34}, {27,30}, {15,52}, {16,50}, {9,36}, {26,56}, {10,40}, {27,49}, {12,40}, {20,41}, {14,38}, {18,57}, {27,39}, {6,30}, {7,58}, {20,56}, {25,35}, {13,56}, {19,46}, {8,48}, {9,57}, {17,60}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {16,53}, {27,28}, {3,58}, {25,44}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {23,42}, {2,54}, {21,49}, {3,40}, {16,59}, {27,43}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {3,33}, {23,47}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {17,30}, {25,55}, {27,42}, {12,31}, {16,47}, {20,36}, {20,45}, {21,60}, {26,45}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {24,60}, {25,37}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB60.272 // Bipartite(12,48) Valencies [24,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 82944 EdgesBipt[60][271]:={ {6,52}, {11,40}, {8,57}, {11,49}, {5,38}, {9,17}, {10,18}, {4,28}, {5,59}, {12,22}, {3,26}, {8,26}, {5,57}, {11,15}, {10,33}, {5,15}, {8,23}, {10,39}, {2,18}, {1,35}, {4,51}, {2,46}, {6,56}, {10,48}, {6,14}, {4,38}, {11,35}, {11,29}, {10,56}, {10,42}, {11,27}, {1,20}, {2,34}, {2,25}, {2,52}, {4,30}, {12,46}, {1,17}, {8,46}, {8,37}, {6,60}, {8,52}, {7,41}, {1,13}, {4,58}, {12,42}, {11,39}, {6,49}, {7,33}, {12,31}, {12,40}, {10,20}, {2,15}, {5,37}, {12,37}, {6,46}, {10,35}, {4,23}, {12,52}, {6,24}, {2,29}, {3,17}, {8,49}, {10,51}, {7,15}, {9,36}, {1,43}, {9,29}, {12,49}, {4,22}, {7,54}, {6,51}, {8,19}, {1,18}, {5,27}, {3,43}, {5,28}, {2,39}, {9,59}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {12,24}, {7,60}, {1,31}, {12,27}, {3,51}, {3,13}, {9,13}, {1,39}, {7,53}, {5,35}, {3,36}, {8,48}, {4,32}, {4,60}, {2,44}, {1,30}, {8,50}, {11,21}, {12,47}, {12,56}, {6,36}, {1,55}, {4,53}, {11,36}, {3,30}, {3,55}, {9,51}, {3,16}, {10,57}, {1,47}, {2,24}, {11,23}, {11,16}, {3,24}, {10,38}, {6,16}, {11,33}, {9,55}, {11,48}, {10,55}, {8,24}, {4,41}, {9,26}, {8,45}, {3,59}, {3,29}, {11,52}, {12,17}, {1,41}, {10,13}, {4,45}, {12,55}, {9,54}, {9,19}, {4,47}, {11,44}, {8,59}, {11,34}, {7,35}, {6,30}, {4,33}, {11,24}, {10,31}, {9,31}, {5,19}, {4,57}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {7,28}, {2,16}, {8,34}, {10,22}, {5,40}, {10,30}, {7,23}, {6,22}, {10,25}, {12,29}, {6,31}, {11,32}, {9,52}, {3,42}, {3,22}, {1,44}, {4,14}, {10,54}, {1,48}, {9,41}, {7,39}, {3,41}, {6,37}, {8,32}, {2,19}, {4,44}, {5,23}, {12,43}, {5,20}, {3,53}, {2,26}, {12,14}, {1,60}, {9,21}, {2,28}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {1,45}, {10,15}, {3,50}, {3,34}, {2,21}, {3,56}, {11,45}, {5,58}, {8,58}, {5,26}, {7,47}, {5,29}, {12,53}, {7,31}, {8,33}, {2,57}, {6,54}, {7,51}, {12,60}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {12,34}, {9,60}, {8,44}, {6,42}, {1,15}, {5,49}, {1,56}, {11,37}, {11,28}, {5,18}, {5,16}, {1,23}, {11,20}, {3,40}, {7,17}, {10,45}, {8,35}, {2,40}, {6,21}, {12,59}, {1,28}, {3,27}, {9,27}, {7,38}, {2,38}, {2,59}, {10,43}, {7,44}, {9,49}, {7,43}, {4,20}, {5,25}, {12,54}, {9,53}, {9,43}, {3,37}, {8,39}, {7,13}, {9,14}, {5,36}, {9,34}, {10,14}, {10,32}, {11,50}, {12,19}, {6,50}, {1,58}, {8,25}, {4,48}, {7,57}, {2,32}, {12,21}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {11,38}, {6,40} }; // ETB60.273 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2304 EdgesBipt[60][272]:={ {6,52}, {7,48}, {10,37}, {8,57}, {11,49}, {5,22}, {10,18}, {9,17}, {11,25}, {2,55}, {8,51}, {5,45}, {2,60}, {1,49}, {1,40}, {11,43}, {4,31}, {8,40}, {6,15}, {11,57}, {5,15}, {2,18}, {3,39}, {11,14}, {4,51}, {5,32}, {2,46}, {6,58}, {6,14}, {2,33}, {4,38}, {3,49}, {11,35}, {10,56}, {6,29}, {11,27}, {3,18}, {2,34}, {12,48}, {4,43}, {4,30}, {7,59}, {9,33}, {12,46}, {1,17}, {7,45}, {8,37}, {9,57}, {12,20}, {5,41}, {8,52}, {7,41}, {1,13}, {4,58}, {11,39}, {6,49}, {2,17}, {10,20}, {1,24}, {2,15}, {12,23}, {5,37}, {9,35}, {6,18}, {1,29}, {12,37}, {2,56}, {7,56}, {4,23}, {9,47}, {12,52}, {6,24}, {2,29}, {1,26}, {8,49}, {10,51}, {7,15}, {9,36}, {11,51}, {9,20}, {5,54}, {6,51}, {3,38}, {5,27}, {2,39}, {9,59}, {4,18}, {3,47}, {12,27}, {3,51}, {3,13}, {11,22}, {9,13}, {1,39}, {7,53}, {5,53}, {11,42}, {2,30}, {5,35}, {8,48}, {7,19}, {4,32}, {4,60}, {1,30}, {2,13}, {8,56}, {8,50}, {11,21}, {12,56}, {6,36}, {4,53}, {10,16}, {3,30}, {3,55}, {3,16}, {10,57}, {1,47}, {2,24}, {10,36}, {10,46}, {8,60}, {11,48}, {8,47}, {8,41}, {9,38}, {9,26}, {8,45}, {11,58}, {11,52}, {3,29}, {12,17}, {1,41}, {2,23}, {10,13}, {10,19}, {3,44}, {4,47}, {8,59}, {3,25}, {11,13}, {7,35}, {11,46}, {2,43}, {4,33}, {7,50}, {1,22}, {11,24}, {10,31}, {9,31}, {5,19}, {4,57}, {10,29}, {6,19}, {2,20}, {9,16}, {9,30}, {8,53}, {3,32}, {7,28}, {2,16}, {8,34}, {10,22}, {5,40}, {12,45}, {6,22}, {10,25}, {6,31}, {11,32}, {12,25}, {10,52}, {3,42}, {3,22}, {10,54}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {4,36}, {1,32}, {9,44}, {4,59}, {7,52}, {6,43}, {6,37}, {7,24}, {10,28}, {9,24}, {2,19}, {3,60}, {4,44}, {5,23}, {12,43}, {5,20}, {10,40}, {12,14}, {1,60}, {10,21}, {9,21}, {2,28}, {8,29}, {7,21}, {8,36}, {4,55}, {1,45}, {10,50}, {3,50}, {9,28}, {7,55}, {11,47}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {8,58}, {3,45}, {5,26}, {4,42}, {12,53}, {8,33}, {12,39}, {12,58}, {11,31}, {12,60}, {3,15}, {7,25}, {9,50}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {7,16}, {5,16}, {1,23}, {5,18}, {8,55}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,54}, {6,21}, {12,59}, {4,26}, {12,57}, {9,27}, {7,38}, {5,42}, {2,38}, {2,59}, {12,32}, {6,55}, {6,53}, {7,44}, {8,28}, {7,43}, {9,40}, {4,20}, {1,27}, {5,44}, {5,25}, {12,54}, {5,36}, {9,34}, {10,14}, {12,35}, {11,50}, {12,19}, {1,37}, {1,58}, {6,33}, {2,14}, {11,26}, {3,46}, {9,48}, {5,30}, {4,54}, {11,38} }; // ETB60.274 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 545811704904596422431148395724800000000 EdgesBipt[60][273]:={ {7,48}, {6,38}, {11,40}, {10,37}, {9,32}, {6,25}, {9,17}, {10,18}, {5,56}, {11,59}, {8,51}, {5,45}, {12,22}, {8,26}, {1,49}, {1,40}, {11,43}, {4,31}, {5,57}, {3,35}, {11,15}, {10,33}, {3,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,39}, {5,32}, {4,51}, {8,31}, {2,46}, {6,58}, {6,14}, {2,33}, {4,38}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {2,34}, {10,17}, {2,25}, {4,43}, {1,52}, {4,30}, {7,59}, {8,30}, {9,33}, {12,46}, {1,17}, {8,46}, {9,57}, {5,41}, {12,38}, {1,13}, {12,26}, {7,27}, {4,58}, {12,42}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {1,24}, {5,60}, {12,23}, {5,37}, {9,56}, {1,36}, {6,18}, {1,29}, {6,46}, {7,56}, {4,23}, {8,38}, {2,29}, {7,15}, {8,22}, {9,36}, {6,34}, {9,29}, {11,51}, {8,42}, {9,20}, {4,22}, {8,19}, {3,43}, {6,17}, {5,28}, {8,18}, {4,18}, {3,47}, {7,32}, {7,60}, {3,31}, {12,27}, {3,51}, {9,13}, {2,30}, {5,53}, {3,36}, {11,60}, {7,19}, {2,13}, {12,15}, {8,50}, {8,15}, {12,47}, {11,36}, {3,55}, {3,16}, {10,57}, {11,23}, {11,16}, {3,24}, {10,38}, {10,46}, {10,58}, {11,48}, {8,47}, {3,59}, {11,52}, {1,41}, {10,13}, {12,55}, {11,44}, {4,47}, {3,44}, {8,59}, {7,35}, {5,52}, {12,30}, {6,30}, {11,24}, {10,29}, {6,13}, {1,25}, {9,16}, {3,32}, {7,28}, {6,45}, {12,18}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {1,57}, {11,32}, {9,52}, {1,16}, {1,44}, {4,14}, {10,54}, {4,15}, {1,48}, {9,41}, {7,39}, {1,32}, {9,44}, {4,59}, {7,52}, {6,37}, {7,24}, {6,57}, {9,24}, {3,60}, {2,54}, {7,40}, {2,41}, {12,50}, {12,43}, {5,20}, {2,26}, {12,14}, {1,60}, {10,21}, {9,21}, {11,56}, {8,27}, {2,45}, {4,55}, {3,48}, {1,45}, {10,50}, {9,28}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {3,56}, {1,33}, {8,58}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {10,41}, {3,28}, {7,31}, {11,19}, {12,39}, {12,58}, {2,57}, {6,54}, {8,14}, {7,51}, {11,31}, {1,53}, {3,15}, {6,26}, {5,21}, {2,50}, {6,41}, {10,53}, {12,34}, {9,60}, {6,42}, {4,35}, {5,49}, {1,56}, {11,28}, {7,16}, {5,16}, {8,55}, {11,20}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {8,54}, {6,21}, {9,45}, {12,59}, {4,26}, {1,28}, {3,27}, {7,20}, {2,38}, {6,53}, {7,44}, {9,49}, {7,43}, {9,40}, {11,55}, {5,44}, {5,13}, {5,25}, {12,54}, {9,53}, {4,19}, {8,39}, {5,36}, {10,14}, {4,39}, {7,36}, {12,35}, {12,19}, {6,50}, {1,37}, {2,42}, {6,33}, {2,14}, {12,51}, {9,48}, {5,48}, {5,33}, {2,58}, {4,54}, {10,49}, {9,37} }; // ETB60.275 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 80860993319199469989799762329600000000 EdgesBipt[60][274]:={ {6,52}, {11,40}, {6,25}, {9,17}, {10,18}, {5,56}, {4,28}, {5,43}, {2,55}, {5,59}, {11,59}, {8,51}, {8,26}, {1,49}, {11,43}, {2,35}, {3,35}, {11,15}, {3,19}, {5,15}, {3,23}, {8,23}, {12,16}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {7,30}, {8,31}, {4,40}, {2,46}, {6,56}, {10,48}, {6,32}, {4,38}, {3,49}, {11,35}, {10,56}, {10,42}, {6,29}, {11,27}, {2,34}, {12,28}, {12,48}, {4,24}, {4,30}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {8,46}, {9,57}, {12,20}, {6,60}, {7,41}, {1,13}, {4,58}, {11,39}, {6,49}, {10,26}, {7,33}, {12,40}, {10,20}, {5,60}, {2,15}, {12,13}, {9,35}, {1,29}, {12,37}, {6,44}, {8,38}, {9,47}, {12,52}, {6,24}, {1,38}, {1,26}, {3,17}, {8,22}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {7,54}, {8,19}, {1,18}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {9,59}, {4,18}, {8,18}, {3,47}, {1,42}, {12,24}, {3,31}, {3,51}, {3,13}, {9,13}, {7,37}, {7,53}, {2,30}, {5,35}, {11,60}, {4,32}, {4,60}, {1,30}, {8,50}, {8,15}, {12,56}, {6,36}, {11,36}, {10,16}, {3,55}, {9,51}, {11,23}, {11,16}, {10,36}, {2,51}, {10,38}, {6,16}, {10,58}, {10,46}, {9,55}, {11,48}, {8,47}, {7,46}, {3,59}, {3,29}, {11,52}, {12,17}, {1,41}, {2,23}, {12,41}, {9,19}, {11,44}, {8,59}, {3,25}, {2,43}, {5,52}, {2,27}, {7,50}, {1,22}, {7,34}, {11,24}, {5,19}, {9,31}, {10,44}, {7,58}, {6,13}, {1,25}, {5,39}, {6,45}, {8,34}, {9,25}, {10,22}, {5,40}, {10,30}, {4,50}, {12,45}, {4,34}, {12,29}, {1,57}, {11,32}, {12,25}, {10,52}, {4,14}, {10,54}, {7,49}, {9,41}, {3,41}, {4,36}, {1,54}, {6,37}, {6,57}, {10,28}, {5,31}, {2,19}, {6,20}, {4,44}, {2,54}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {9,21}, {7,29}, {11,56}, {9,23}, {7,21}, {8,27}, {3,33}, {1,45}, {10,50}, {5,24}, {2,22}, {11,47}, {4,46}, {8,43}, {2,31}, {1,33}, {8,58}, {12,36}, {3,45}, {12,44}, {4,42}, {12,53}, {12,33}, {11,19}, {5,47}, {3,57}, {8,14}, {11,31}, {1,53}, {12,60}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {1,34}, {7,42}, {2,50}, {6,41}, {9,15}, {6,28}, {7,26}, {1,50}, {10,60}, {7,18}, {11,28}, {2,47}, {5,16}, {8,55}, {10,24}, {5,55}, {11,20}, {10,34}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {12,57}, {3,27}, {9,27}, {7,38}, {2,38}, {2,59}, {12,32}, {6,53}, {9,49}, {11,55}, {4,20}, {5,44}, {9,53}, {4,52}, {9,43}, {1,46}, {3,37}, {8,39}, {7,13}, {5,36}, {10,14}, {10,32}, {1,37}, {1,58}, {2,42}, {4,48}, {7,57}, {6,33}, {12,21}, {2,14}, {5,48}, {2,58}, {4,56}, {4,54}, {9,37}, {6,40} }; // ETB60.276 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 133640897585615703895965696000000 EdgesBipt[60][275]:={ {6,52}, {6,38}, {10,37}, {6,25}, {4,28}, {5,43}, {2,55}, {11,59}, {5,45}, {12,22}, {3,26}, {1,49}, {8,40}, {5,57}, {3,35}, {11,15}, {11,57}, {5,15}, {1,19}, {11,53}, {2,49}, {3,23}, {8,23}, {12,16}, {3,20}, {1,21}, {3,21}, {3,39}, {11,14}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {6,32}, {11,35}, {11,29}, {10,56}, {11,17}, {11,27}, {8,16}, {9,18}, {2,34}, {12,28}, {2,25}, {12,48}, {4,24}, {2,52}, {4,30}, {7,59}, {8,30}, {12,46}, {9,33}, {4,16}, {7,45}, {8,46}, {9,57}, {8,52}, {7,41}, {1,13}, {7,27}, {4,58}, {12,42}, {11,39}, {6,49}, {10,26}, {7,33}, {12,40}, {10,20}, {1,24}, {5,60}, {12,23}, {5,37}, {1,36}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {12,52}, {3,17}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {11,51}, {9,39}, {8,42}, {4,22}, {5,54}, {1,18}, {3,38}, {5,27}, {7,14}, {8,18}, {4,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,51}, {9,13}, {1,39}, {7,53}, {8,48}, {4,60}, {2,44}, {1,30}, {2,13}, {11,21}, {12,47}, {8,17}, {1,55}, {4,53}, {10,16}, {9,51}, {11,23}, {10,38}, {6,16}, {10,58}, {10,46}, {11,33}, {8,60}, {9,55}, {10,55}, {8,47}, {8,24}, {4,41}, {8,41}, {3,59}, {3,29}, {12,17}, {10,13}, {1,51}, {9,54}, {10,19}, {12,41}, {9,19}, {4,47}, {3,44}, {11,44}, {8,59}, {7,35}, {2,43}, {12,30}, {7,50}, {10,31}, {9,31}, {5,19}, {10,44}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,30}, {5,39}, {8,53}, {3,32}, {12,18}, {2,16}, {8,34}, {9,25}, {10,22}, {7,23}, {6,22}, {4,34}, {10,25}, {12,29}, {1,57}, {6,31}, {11,32}, {10,52}, {1,48}, {7,39}, {3,41}, {4,36}, {4,29}, {1,54}, {4,59}, {6,43}, {6,37}, {10,28}, {9,24}, {5,31}, {2,19}, {6,20}, {2,26}, {3,53}, {10,40}, {1,60}, {9,21}, {7,29}, {11,56}, {2,28}, {8,29}, {7,21}, {8,36}, {3,33}, {1,45}, {10,50}, {3,50}, {5,24}, {2,22}, {11,47}, {4,46}, {3,56}, {2,31}, {11,45}, {1,33}, {8,58}, {12,36}, {3,45}, {3,14}, {7,47}, {2,37}, {4,42}, {12,53}, {12,58}, {3,57}, {7,51}, {12,60}, {3,15}, {5,51}, {11,41}, {6,26}, {5,21}, {2,50}, {9,15}, {12,34}, {9,60}, {6,28}, {4,35}, {1,15}, {5,49}, {7,26}, {5,18}, {11,20}, {5,55}, {10,34}, {7,17}, {8,35}, {2,40}, {8,54}, {9,45}, {12,59}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {10,43}, {6,55}, {7,44}, {8,28}, {9,49}, {1,27}, {5,13}, {5,25}, {12,54}, {4,52}, {9,43}, {9,42}, {5,36}, {10,14}, {10,32}, {12,35}, {11,50}, {6,50}, {1,37}, {4,48}, {7,57}, {2,32}, {2,14}, {11,26}, {9,48}, {5,48}, {5,33}, {2,58}, {5,30}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.277 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 221861110674043699200000000 EdgesBipt[60][276]:={ {6,52}, {7,48}, {6,38}, {11,49}, {6,59}, {5,38}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {11,59}, {5,45}, {2,60}, {3,26}, {12,22}, {8,26}, {1,40}, {11,43}, {8,40}, {5,57}, {10,33}, {11,57}, {11,53}, {3,23}, {8,23}, {12,16}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {11,14}, {4,51}, {7,30}, {8,31}, {6,56}, {6,14}, {6,32}, {3,49}, {11,35}, {11,29}, {11,17}, {10,42}, {11,27}, {3,18}, {8,16}, {10,17}, {9,18}, {2,34}, {12,28}, {12,48}, {4,43}, {2,52}, {9,33}, {12,46}, {7,45}, {9,57}, {12,20}, {5,41}, {6,60}, {8,52}, {12,38}, {1,13}, {4,58}, {10,26}, {12,40}, {10,20}, {1,24}, {2,48}, {2,15}, {5,37}, {1,29}, {2,56}, {6,46}, {7,56}, {10,35}, {6,44}, {9,47}, {4,49}, {12,52}, {6,24}, {1,38}, {3,17}, {2,36}, {10,51}, {7,15}, {9,29}, {9,39}, {11,51}, {8,42}, {7,54}, {5,54}, {6,51}, {10,59}, {5,27}, {7,14}, {2,39}, {4,18}, {8,18}, {3,47}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {9,58}, {5,35}, {8,48}, {4,60}, {2,44}, {1,30}, {8,56}, {8,50}, {8,15}, {11,21}, {12,56}, {6,36}, {1,55}, {3,55}, {1,47}, {10,57}, {2,24}, {10,36}, {6,16}, {10,58}, {11,33}, {8,60}, {9,55}, {8,47}, {8,24}, {4,41}, {9,26}, {5,14}, {7,46}, {3,29}, {2,23}, {10,19}, {3,25}, {11,13}, {11,46}, {12,30}, {6,30}, {4,33}, {1,22}, {4,57}, {9,31}, {5,19}, {10,44}, {6,19}, {2,20}, {4,17}, {2,16}, {8,34}, {9,25}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {11,54}, {10,52}, {3,42}, {1,16}, {1,48}, {9,41}, {7,39}, {3,41}, {4,36}, {1,32}, {1,54}, {4,59}, {6,43}, {8,32}, {7,24}, {10,28}, {6,20}, {4,44}, {7,40}, {12,43}, {2,26}, {3,53}, {12,14}, {9,21}, {7,29}, {2,28}, {9,23}, {7,21}, {8,36}, {5,46}, {3,33}, {1,45}, {10,50}, {11,30}, {3,50}, {3,34}, {4,27}, {7,55}, {2,31}, {11,45}, {8,58}, {12,36}, {3,45}, {12,44}, {7,47}, {4,42}, {5,29}, {10,41}, {4,25}, {7,31}, {11,19}, {3,57}, {6,54}, {1,53}, {12,60}, {3,15}, {5,51}, {11,41}, {9,50}, {7,22}, {1,14}, {5,21}, {2,50}, {9,15}, {8,44}, {6,28}, {4,35}, {1,15}, {5,49}, {1,56}, {10,60}, {11,37}, {2,47}, {7,16}, {1,23}, {8,55}, {10,27}, {10,34}, {5,17}, {2,40}, {9,45}, {12,59}, {4,26}, {7,38}, {12,32}, {10,43}, {8,28}, {9,49}, {4,20}, {8,20}, {5,13}, {5,25}, {12,54}, {9,53}, {4,52}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {9,34}, {12,35}, {6,35}, {12,19}, {1,37}, {2,42}, {2,32}, {12,51}, {5,33}, {2,58}, {5,30}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.278 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13866319417127731200000000 EdgesBipt[60][277]:={ {6,52}, {7,48}, {10,37}, {11,49}, {6,25}, {9,17}, {11,25}, {5,43}, {2,55}, {5,59}, {11,59}, {8,51}, {5,45}, {2,60}, {12,22}, {8,26}, {1,49}, {11,43}, {2,35}, {6,15}, {11,15}, {10,33}, {11,57}, {11,53}, {3,23}, {8,23}, {12,16}, {1,21}, {3,39}, {4,51}, {8,31}, {4,40}, {4,37}, {6,58}, {10,48}, {4,38}, {3,49}, {11,35}, {11,29}, {10,56}, {11,17}, {11,27}, {10,17}, {12,28}, {12,48}, {4,24}, {4,43}, {2,52}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {9,57}, {12,20}, {6,60}, {12,38}, {1,13}, {12,26}, {12,42}, {6,39}, {11,39}, {6,49}, {12,40}, {10,20}, {5,60}, {2,48}, {2,15}, {5,37}, {9,35}, {6,18}, {1,29}, {2,56}, {7,56}, {6,44}, {8,38}, {5,50}, {12,52}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {8,22}, {9,36}, {6,34}, {11,51}, {8,42}, {9,20}, {4,22}, {8,19}, {3,38}, {1,18}, {5,27}, {6,17}, {5,28}, {2,39}, {9,59}, {9,46}, {8,18}, {3,47}, {1,42}, {7,32}, {12,24}, {3,31}, {7,37}, {7,53}, {5,53}, {5,35}, {4,21}, {4,32}, {2,44}, {1,30}, {8,50}, {8,15}, {11,21}, {12,56}, {6,36}, {4,53}, {10,16}, {3,30}, {3,55}, {9,51}, {3,16}, {10,57}, {2,24}, {11,23}, {3,24}, {10,36}, {2,51}, {11,33}, {8,47}, {9,38}, {1,41}, {2,23}, {10,13}, {4,45}, {9,54}, {9,22}, {9,19}, {8,59}, {3,25}, {11,13}, {2,43}, {5,52}, {2,27}, {12,30}, {7,50}, {1,22}, {7,34}, {5,19}, {10,44}, {10,29}, {7,58}, {1,25}, {2,20}, {9,30}, {3,32}, {12,18}, {2,16}, {8,34}, {9,25}, {7,23}, {10,25}, {1,57}, {6,31}, {9,52}, {10,52}, {3,22}, {4,14}, {9,41}, {6,23}, {7,39}, {3,41}, {4,29}, {9,44}, {1,54}, {4,59}, {7,24}, {6,57}, {10,28}, {2,19}, {6,20}, {7,40}, {12,50}, {5,20}, {10,40}, {12,14}, {10,21}, {7,29}, {2,28}, {7,21}, {8,27}, {6,47}, {3,48}, {3,33}, {1,45}, {9,28}, {4,27}, {7,55}, {11,47}, {4,46}, {8,43}, {3,56}, {2,31}, {11,45}, {1,33}, {5,58}, {3,54}, {8,58}, {12,36}, {3,14}, {5,26}, {12,44}, {7,47}, {5,29}, {10,41}, {7,31}, {11,19}, {12,58}, {3,57}, {8,14}, {11,31}, {1,53}, {12,60}, {3,15}, {5,51}, {11,41}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {10,53}, {12,34}, {9,60}, {6,28}, {6,42}, {4,35}, {7,26}, {1,50}, {10,60}, {7,18}, {11,37}, {2,47}, {7,16}, {5,18}, {8,55}, {10,24}, {3,40}, {8,35}, {10,45}, {2,40}, {8,54}, {9,27}, {5,42}, {2,59}, {12,32}, {6,55}, {9,49}, {11,55}, {5,44}, {5,13}, {12,54}, {9,43}, {1,46}, {4,19}, {8,39}, {7,13}, {9,14}, {5,36}, {10,32}, {6,50}, {1,37}, {1,58}, {4,48}, {2,32}, {6,33}, {3,46}, {4,56}, {4,54}, {10,49} }; // ETB60.279 // Bipartite(12,48) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5258930030792146944 EdgesBipt[60][278]:={ {7,48}, {10,37}, {8,57}, {6,59}, {11,49}, {9,32}, {5,38}, {5,22}, {5,56}, {11,25}, {5,43}, {2,55}, {5,59}, {8,51}, {3,26}, {12,22}, {8,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {6,15}, {11,15}, {10,33}, {8,21}, {11,57}, {2,49}, {8,23}, {12,16}, {10,39}, {3,20}, {3,21}, {6,48}, {5,32}, {7,30}, {4,37}, {6,56}, {10,48}, {6,32}, {4,38}, {6,29}, {11,27}, {1,20}, {3,18}, {9,18}, {12,28}, {2,25}, {12,48}, {4,43}, {1,52}, {2,52}, {8,30}, {12,46}, {1,17}, {7,45}, {4,13}, {6,60}, {1,13}, {4,58}, {12,42}, {6,39}, {11,39}, {2,17}, {7,33}, {12,31}, {12,40}, {9,56}, {9,35}, {1,29}, {2,56}, {6,44}, {4,23}, {11,18}, {8,38}, {9,47}, {4,49}, {5,50}, {12,52}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {10,51}, {9,36}, {9,39}, {11,51}, {8,42}, {9,20}, {4,22}, {7,54}, {6,51}, {3,38}, {6,17}, {5,28}, {8,18}, {9,59}, {12,24}, {7,60}, {12,27}, {11,22}, {7,37}, {6,27}, {11,42}, {5,35}, {3,36}, {2,44}, {2,13}, {8,50}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {4,53}, {10,16}, {3,30}, {9,51}, {10,57}, {3,24}, {10,36}, {11,33}, {10,55}, {8,47}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {7,46}, {8,45}, {3,29}, {11,58}, {1,41}, {2,23}, {10,13}, {12,55}, {9,54}, {10,19}, {3,44}, {4,47}, {8,59}, {11,34}, {11,13}, {11,46}, {2,43}, {5,52}, {12,30}, {1,22}, {7,34}, {10,31}, {5,19}, {7,58}, {1,25}, {2,20}, {4,17}, {9,30}, {8,53}, {3,32}, {7,28}, {6,45}, {12,18}, {2,16}, {5,40}, {4,50}, {4,34}, {10,25}, {11,54}, {10,52}, {3,42}, {1,16}, {1,44}, {4,14}, {7,49}, {6,23}, {3,41}, {4,29}, {9,44}, {1,32}, {4,59}, {7,52}, {7,24}, {6,57}, {10,28}, {9,24}, {5,31}, {2,19}, {3,60}, {6,20}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {3,53}, {10,40}, {10,21}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {10,15}, {11,30}, {3,50}, {4,46}, {3,56}, {2,31}, {11,45}, {5,58}, {3,54}, {12,36}, {3,45}, {2,53}, {3,14}, {5,26}, {2,37}, {4,25}, {11,19}, {8,33}, {5,47}, {12,39}, {12,58}, {3,57}, {8,14}, {11,31}, {1,53}, {12,60}, {7,25}, {9,50}, {7,22}, {1,14}, {1,34}, {7,42}, {6,41}, {9,15}, {12,34}, {9,60}, {4,35}, {1,56}, {1,50}, {10,60}, {7,18}, {11,37}, {2,47}, {7,16}, {5,16}, {10,24}, {5,55}, {10,27}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {9,27}, {2,59}, {10,43}, {6,53}, {11,55}, {5,44}, {12,54}, {1,46}, {4,19}, {8,39}, {7,13}, {9,42}, {9,14}, {7,36}, {6,35}, {12,19}, {1,37}, {1,58}, {7,57}, {2,32}, {6,33}, {12,51}, {9,48}, {10,49} }; // ETB60.280 // Bipartite(12,48) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21035720123168587776 EdgesBipt[60][279]:={ {6,52}, {11,40}, {10,37}, {6,59}, {5,38}, {5,22}, {9,17}, {5,56}, {2,55}, {3,58}, {11,59}, {8,51}, {5,45}, {12,22}, {8,26}, {2,35}, {8,40}, {5,57}, {11,15}, {1,19}, {2,49}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {11,14}, {4,51}, {5,32}, {8,31}, {4,37}, {10,48}, {2,33}, {11,35}, {10,56}, {6,29}, {11,27}, {3,18}, {8,16}, {10,17}, {9,18}, {2,25}, {12,48}, {4,30}, {7,59}, {8,30}, {12,46}, {1,17}, {7,45}, {4,13}, {12,20}, {6,60}, {8,52}, {7,27}, {4,58}, {12,42}, {11,39}, {7,33}, {12,31}, {3,52}, {10,20}, {5,60}, {12,23}, {5,37}, {1,29}, {7,56}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {5,34}, {1,38}, {1,26}, {3,17}, {10,51}, {7,15}, {9,36}, {1,43}, {9,29}, {11,51}, {8,42}, {4,22}, {8,19}, {6,17}, {8,18}, {4,18}, {7,32}, {12,24}, {1,31}, {11,22}, {9,13}, {1,39}, {7,37}, {2,30}, {11,60}, {2,13}, {8,56}, {8,50}, {8,15}, {12,47}, {12,56}, {6,36}, {1,55}, {4,53}, {11,36}, {3,30}, {3,16}, {11,23}, {11,16}, {10,36}, {6,16}, {11,48}, {10,55}, {4,41}, {9,38}, {9,26}, {5,14}, {11,58}, {11,52}, {3,29}, {1,41}, {2,23}, {10,13}, {12,55}, {1,51}, {9,54}, {10,19}, {3,44}, {4,47}, {11,34}, {7,35}, {11,46}, {2,43}, {12,30}, {1,22}, {11,24}, {10,31}, {10,44}, {10,29}, {6,19}, {4,17}, {9,16}, {9,30}, {3,32}, {7,28}, {6,45}, {12,18}, {9,25}, {7,23}, {4,34}, {10,25}, {1,57}, {6,31}, {9,52}, {3,42}, {3,22}, {4,15}, {7,49}, {9,41}, {6,23}, {7,39}, {3,41}, {4,29}, {4,59}, {7,52}, {6,43}, {8,32}, {6,57}, {9,24}, {2,19}, {2,54}, {7,40}, {12,43}, {5,20}, {3,53}, {2,26}, {7,21}, {8,27}, {2,45}, {5,46}, {6,47}, {3,33}, {1,45}, {10,15}, {9,28}, {3,34}, {2,21}, {4,27}, {5,24}, {11,47}, {4,46}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {12,36}, {3,45}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {10,41}, {4,25}, {3,28}, {12,58}, {2,57}, {3,57}, {8,14}, {7,51}, {1,53}, {12,60}, {7,25}, {9,50}, {1,14}, {1,34}, {5,21}, {2,50}, {6,41}, {10,53}, {12,34}, {9,60}, {8,44}, {6,28}, {4,35}, {1,15}, {5,49}, {1,50}, {10,60}, {11,28}, {2,47}, {7,16}, {8,55}, {10,24}, {10,27}, {3,40}, {8,54}, {6,21}, {12,59}, {7,20}, {2,38}, {2,59}, {12,32}, {10,43}, {6,55}, {6,53}, {7,44}, {8,28}, {9,49}, {9,40}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {12,54}, {9,53}, {1,46}, {8,39}, {7,13}, {9,42}, {9,14}, {5,36}, {10,32}, {4,39}, {12,35}, {6,35}, {11,50}, {12,19}, {1,58}, {2,42}, {7,57}, {6,33}, {2,14}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.281 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2166612408926208 EdgesBipt[60][280]:={ {6,52}, {7,48}, {6,38}, {11,40}, {8,57}, {6,59}, {9,32}, {5,38}, {5,22}, {9,17}, {5,56}, {5,43}, {3,58}, {5,59}, {5,45}, {2,60}, {3,26}, {8,26}, {1,40}, {2,35}, {6,15}, {8,40}, {11,15}, {10,33}, {1,19}, {2,49}, {10,39}, {3,20}, {3,21}, {1,35}, {7,30}, {4,37}, {6,14}, {2,33}, {4,38}, {11,29}, {10,56}, {1,20}, {10,47}, {8,16}, {10,17}, {9,18}, {4,43}, {1,52}, {8,13}, {7,59}, {9,33}, {12,46}, {4,16}, {4,13}, {7,41}, {1,13}, {12,26}, {7,27}, {4,58}, {12,42}, {6,39}, {11,39}, {2,17}, {3,52}, {1,24}, {2,15}, {1,36}, {1,29}, {12,37}, {6,46}, {7,56}, {10,35}, {5,50}, {2,29}, {5,34}, {1,26}, {8,49}, {10,51}, {1,43}, {9,39}, {12,49}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {7,14}, {8,18}, {9,46}, {4,18}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {12,27}, {11,22}, {6,27}, {5,35}, {3,36}, {4,21}, {8,48}, {11,60}, {4,32}, {2,44}, {2,13}, {8,56}, {8,50}, {6,36}, {8,17}, {4,53}, {11,36}, {3,30}, {3,16}, {10,57}, {1,47}, {11,23}, {11,16}, {2,51}, {10,46}, {8,60}, {9,55}, {11,48}, {10,55}, {8,24}, {8,41}, {9,38}, {7,46}, {8,45}, {11,52}, {12,17}, {1,41}, {4,45}, {1,51}, {1,59}, {9,54}, {10,19}, {9,22}, {12,41}, {11,44}, {3,44}, {3,25}, {11,13}, {12,30}, {6,30}, {7,50}, {7,34}, {11,24}, {10,31}, {5,19}, {10,44}, {1,25}, {6,19}, {9,16}, {9,30}, {5,39}, {3,32}, {12,18}, {8,34}, {10,30}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {1,57}, {6,31}, {11,32}, {11,54}, {12,25}, {3,42}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {9,44}, {4,59}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {10,28}, {2,19}, {3,60}, {6,20}, {2,54}, {7,40}, {12,50}, {5,23}, {12,43}, {2,26}, {3,53}, {10,40}, {12,14}, {9,21}, {11,56}, {2,28}, {8,29}, {9,23}, {2,45}, {6,47}, {3,48}, {1,45}, {10,15}, {9,28}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {11,47}, {2,31}, {11,45}, {8,58}, {2,53}, {3,14}, {2,37}, {4,42}, {5,29}, {12,53}, {10,41}, {3,28}, {12,33}, {8,33}, {12,58}, {3,57}, {6,54}, {11,31}, {3,15}, {5,51}, {7,25}, {9,50}, {12,34}, {9,60}, {8,44}, {1,15}, {5,49}, {1,56}, {10,60}, {7,18}, {11,28}, {2,47}, {7,16}, {5,18}, {10,24}, {5,55}, {11,20}, {5,17}, {6,21}, {12,59}, {4,26}, {12,57}, {7,20}, {2,38}, {6,55}, {6,53}, {8,28}, {9,49}, {7,43}, {11,55}, {4,20}, {1,27}, {5,13}, {10,23}, {9,53}, {4,52}, {3,37}, {9,14}, {9,34}, {10,14}, {7,36}, {12,35}, {6,35}, {12,19}, {1,58}, {8,25}, {2,42}, {4,48}, {7,57}, {12,21}, {12,51}, {3,46}, {9,48}, {5,33}, {2,58}, {4,54}, {11,38}, {10,49}, {9,37} }; // ETB60.282 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3249918613389312 EdgesBipt[60][281]:={ {6,52}, {7,48}, {8,57}, {11,49}, {6,25}, {9,17}, {10,18}, {4,28}, {2,55}, {5,45}, {12,22}, {8,26}, {1,49}, {5,57}, {3,35}, {11,15}, {8,21}, {3,19}, {5,15}, {1,19}, {11,53}, {2,49}, {8,23}, {10,39}, {2,18}, {11,14}, {1,35}, {7,30}, {8,31}, {4,40}, {6,56}, {6,58}, {2,33}, {4,38}, {11,29}, {10,56}, {11,17}, {8,16}, {9,18}, {2,34}, {4,24}, {4,43}, {2,52}, {4,30}, {7,59}, {9,33}, {12,46}, {1,17}, {4,16}, {7,45}, {8,37}, {12,20}, {5,41}, {6,60}, {12,38}, {1,13}, {7,27}, {4,58}, {6,49}, {2,17}, {12,31}, {12,40}, {12,23}, {5,37}, {9,56}, {9,35}, {1,29}, {12,37}, {10,35}, {6,44}, {5,50}, {12,52}, {6,24}, {5,34}, {1,26}, {2,36}, {10,51}, {7,15}, {9,36}, {1,43}, {9,29}, {8,42}, {9,20}, {4,22}, {7,54}, {6,51}, {1,18}, {10,59}, {7,14}, {6,17}, {2,39}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {3,31}, {3,51}, {3,13}, {9,13}, {11,42}, {5,53}, {5,35}, {8,48}, {4,32}, {4,60}, {12,15}, {8,15}, {11,21}, {12,47}, {12,56}, {6,36}, {11,36}, {3,30}, {9,51}, {3,16}, {10,57}, {11,16}, {3,24}, {10,38}, {11,33}, {8,60}, {11,48}, {10,55}, {8,47}, {8,41}, {9,38}, {7,46}, {11,58}, {11,52}, {3,29}, {2,23}, {12,55}, {1,51}, {1,59}, {9,54}, {10,19}, {9,22}, {12,41}, {9,19}, {3,44}, {8,59}, {3,25}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {7,50}, {7,34}, {5,19}, {10,44}, {6,19}, {2,20}, {9,30}, {5,39}, {8,53}, {3,32}, {10,22}, {7,23}, {10,25}, {11,32}, {9,52}, {12,25}, {1,16}, {1,44}, {4,14}, {10,54}, {1,48}, {7,39}, {3,41}, {4,36}, {1,32}, {4,59}, {6,37}, {8,32}, {6,57}, {10,28}, {9,24}, {5,31}, {3,60}, {6,20}, {4,44}, {2,54}, {5,23}, {2,26}, {10,40}, {12,14}, {1,60}, {7,29}, {8,27}, {3,48}, {1,45}, {10,50}, {11,30}, {2,21}, {4,27}, {7,55}, {2,22}, {11,47}, {4,46}, {8,43}, {3,56}, {11,45}, {1,33}, {8,58}, {12,36}, {3,45}, {2,53}, {3,14}, {7,47}, {2,37}, {4,42}, {5,29}, {12,53}, {10,41}, {3,28}, {7,31}, {5,47}, {12,39}, {3,57}, {11,31}, {3,15}, {5,51}, {9,50}, {7,22}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {8,44}, {6,28}, {6,42}, {5,49}, {1,50}, {10,60}, {7,18}, {11,37}, {7,16}, {5,18}, {8,55}, {10,24}, {5,55}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {6,21}, {9,45}, {4,26}, {12,57}, {1,28}, {7,38}, {2,38}, {2,59}, {10,43}, {6,53}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {1,27}, {5,13}, {5,25}, {12,54}, {10,23}, {4,52}, {8,39}, {7,13}, {9,14}, {9,34}, {6,35}, {1,58}, {8,25}, {2,42}, {4,48}, {6,33}, {12,21}, {11,26}, {3,46}, {5,33}, {2,58}, {4,56}, {4,54}, {6,40} }; // ETB60.283 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 541653102231552 EdgesBipt[60][282]:={ {6,52}, {7,48}, {6,38}, {11,40}, {8,57}, {11,49}, {6,59}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {5,43}, {3,58}, {5,59}, {5,45}, {2,60}, {3,26}, {12,22}, {8,26}, {1,40}, {6,15}, {3,35}, {11,15}, {3,19}, {5,15}, {11,53}, {2,49}, {3,23}, {10,39}, {1,21}, {3,39}, {11,14}, {4,51}, {8,31}, {4,40}, {4,37}, {2,46}, {6,56}, {6,58}, {10,48}, {6,14}, {2,33}, {11,29}, {11,17}, {1,20}, {3,18}, {8,16}, {12,28}, {4,24}, {1,52}, {2,52}, {8,30}, {9,33}, {12,46}, {4,16}, {7,45}, {8,46}, {7,41}, {12,38}, {1,13}, {12,26}, {4,58}, {12,42}, {2,17}, {7,33}, {10,20}, {1,24}, {2,48}, {12,23}, {9,56}, {9,35}, {1,36}, {1,29}, {6,46}, {10,35}, {5,50}, {6,24}, {5,34}, {2,36}, {10,51}, {9,36}, {1,43}, {9,29}, {9,39}, {12,49}, {8,42}, {9,20}, {5,54}, {6,51}, {1,18}, {10,59}, {5,27}, {8,18}, {3,47}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {7,37}, {6,27}, {7,53}, {11,42}, {2,30}, {4,21}, {8,48}, {11,60}, {4,32}, {4,60}, {2,44}, {8,50}, {8,15}, {11,21}, {6,36}, {4,53}, {10,16}, {3,55}, {9,51}, {1,47}, {10,57}, {3,24}, {10,36}, {10,38}, {11,33}, {8,60}, {9,55}, {10,55}, {8,47}, {4,41}, {9,38}, {8,41}, {5,14}, {11,58}, {3,29}, {12,17}, {12,55}, {1,59}, {9,54}, {10,19}, {9,22}, {12,41}, {9,19}, {11,44}, {8,59}, {3,25}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {7,50}, {7,34}, {11,24}, {4,57}, {6,19}, {2,20}, {5,39}, {7,28}, {2,16}, {8,34}, {10,22}, {7,23}, {6,22}, {10,25}, {6,31}, {9,52}, {12,25}, {10,52}, {3,42}, {1,16}, {10,54}, {7,49}, {1,48}, {7,39}, {3,41}, {4,36}, {1,32}, {6,43}, {8,32}, {9,24}, {5,31}, {6,20}, {4,44}, {2,54}, {5,23}, {12,14}, {9,21}, {7,29}, {11,56}, {2,28}, {9,23}, {7,21}, {8,27}, {5,46}, {6,47}, {1,45}, {10,50}, {11,30}, {3,50}, {3,34}, {2,21}, {7,55}, {2,22}, {11,47}, {8,43}, {3,56}, {11,45}, {8,58}, {3,45}, {2,53}, {12,44}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {12,33}, {5,47}, {12,39}, {12,58}, {3,57}, {6,54}, {8,14}, {11,31}, {1,53}, {12,60}, {3,15}, {7,25}, {6,26}, {1,34}, {8,44}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {7,18}, {11,37}, {11,28}, {7,16}, {5,18}, {5,55}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {9,45}, {4,26}, {12,57}, {2,38}, {2,59}, {10,43}, {7,44}, {8,28}, {9,49}, {9,40}, {4,20}, {1,27}, {5,13}, {12,54}, {10,23}, {9,53}, {4,52}, {4,19}, {7,13}, {10,32}, {12,35}, {6,35}, {12,19}, {1,37}, {8,25}, {4,48}, {7,57}, {2,32}, {2,14}, {12,51}, {11,26}, {5,33}, {4,56}, {5,30}, {9,37}, {6,40} }; // ETB60.284 // Bipartite(12,48) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2415919104 EdgesBipt[60][283]:={ {6,52}, {6,59}, {9,32}, {5,38}, {5,22}, {4,28}, {3,58}, {11,59}, {12,22}, {3,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {5,57}, {8,21}, {3,19}, {5,15}, {1,19}, {11,53}, {12,16}, {10,39}, {2,18}, {1,21}, {6,48}, {11,14}, {1,35}, {7,30}, {4,37}, {2,46}, {6,58}, {10,48}, {2,33}, {4,38}, {3,49}, {11,35}, {11,29}, {10,56}, {6,29}, {1,20}, {8,16}, {10,17}, {2,34}, {4,43}, {4,30}, {7,59}, {8,13}, {8,30}, {12,46}, {4,13}, {8,37}, {12,20}, {6,60}, {8,52}, {7,41}, {12,38}, {1,13}, {12,26}, {7,27}, {4,58}, {12,42}, {6,39}, {10,26}, {2,17}, {7,33}, {12,31}, {3,52}, {12,40}, {1,24}, {5,60}, {12,23}, {9,56}, {9,35}, {6,18}, {2,56}, {4,23}, {11,18}, {6,24}, {3,17}, {8,49}, {10,51}, {9,36}, {6,34}, {1,43}, {9,39}, {12,49}, {9,20}, {4,22}, {7,54}, {5,54}, {8,19}, {5,27}, {7,14}, {3,43}, {4,18}, {9,59}, {9,46}, {7,60}, {1,31}, {3,31}, {3,51}, {9,13}, {7,53}, {11,42}, {11,60}, {2,13}, {8,15}, {12,47}, {6,36}, {8,17}, {1,55}, {11,36}, {10,16}, {3,30}, {3,55}, {9,51}, {1,47}, {3,24}, {10,36}, {2,51}, {6,16}, {10,46}, {11,48}, {8,41}, {9,38}, {5,14}, {8,45}, {11,52}, {12,17}, {2,23}, {12,55}, {1,59}, {9,54}, {9,22}, {12,41}, {9,19}, {4,47}, {11,44}, {3,25}, {7,35}, {2,27}, {7,34}, {11,24}, {10,29}, {7,58}, {6,13}, {1,25}, {9,30}, {5,39}, {8,53}, {3,32}, {12,18}, {8,34}, {10,22}, {5,40}, {4,50}, {12,45}, {4,34}, {12,29}, {1,57}, {11,32}, {12,25}, {10,52}, {1,16}, {1,44}, {4,14}, {4,15}, {7,49}, {1,48}, {6,23}, {3,41}, {1,32}, {9,44}, {6,37}, {6,57}, {10,28}, {5,31}, {2,41}, {12,50}, {5,23}, {2,26}, {10,40}, {12,14}, {10,21}, {9,21}, {7,29}, {11,56}, {8,29}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {1,45}, {10,50}, {10,15}, {3,50}, {3,34}, {2,21}, {5,24}, {2,22}, {4,46}, {8,43}, {3,56}, {1,33}, {3,54}, {8,58}, {12,44}, {2,37}, {4,42}, {12,53}, {10,41}, {3,28}, {11,19}, {5,47}, {2,57}, {3,57}, {7,51}, {11,31}, {5,51}, {7,25}, {7,42}, {2,50}, {9,15}, {10,53}, {9,60}, {8,44}, {6,28}, {6,42}, {5,49}, {1,56}, {10,60}, {7,18}, {11,28}, {2,47}, {1,23}, {5,16}, {10,24}, {5,55}, {11,20}, {10,27}, {7,17}, {10,45}, {8,54}, {9,45}, {4,26}, {3,27}, {7,20}, {9,27}, {7,38}, {2,59}, {6,53}, {7,44}, {8,28}, {11,55}, {8,20}, {5,25}, {4,52}, {9,43}, {4,19}, {8,39}, {9,14}, {5,36}, {10,32}, {4,39}, {7,36}, {6,35}, {11,50}, {1,37}, {8,25}, {2,42}, {7,57}, {2,32}, {12,21}, {6,33}, {11,26}, {5,48}, {5,33}, {2,58}, {5,30}, {4,54}, {11,38}, {9,37}, {6,40} }; // ETB60.285 // Bipartite(12,48) Valencies [24,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 38654705664 EdgesBipt[60][284]:={ {6,52}, {11,40}, {11,49}, {5,38}, {5,22}, {9,17}, {11,25}, {4,28}, {2,55}, {3,58}, {11,59}, {2,60}, {3,26}, {8,26}, {1,40}, {11,43}, {4,31}, {6,15}, {5,57}, {11,15}, {3,19}, {5,15}, {1,19}, {2,49}, {8,23}, {12,16}, {10,39}, {3,20}, {6,48}, {7,30}, {4,40}, {6,56}, {10,48}, {2,33}, {6,32}, {4,38}, {3,49}, {11,35}, {6,29}, {11,27}, {10,47}, {2,34}, {9,18}, {2,25}, {12,48}, {8,30}, {9,33}, {1,17}, {4,16}, {7,45}, {8,46}, {9,57}, {12,20}, {8,52}, {12,38}, {1,13}, {6,39}, {11,39}, {10,26}, {2,17}, {7,33}, {3,52}, {12,40}, {10,20}, {1,24}, {5,37}, {9,35}, {1,36}, {6,18}, {7,56}, {10,35}, {11,18}, {9,47}, {4,49}, {5,50}, {6,24}, {1,26}, {2,36}, {10,51}, {7,15}, {8,22}, {1,43}, {9,39}, {11,51}, {4,22}, {7,54}, {6,51}, {1,18}, {10,59}, {3,43}, {6,17}, {4,18}, {9,59}, {9,46}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {3,13}, {7,37}, {6,27}, {7,53}, {5,53}, {11,42}, {3,36}, {4,21}, {8,48}, {4,60}, {1,30}, {2,13}, {8,56}, {8,50}, {11,21}, {8,17}, {4,53}, {3,55}, {3,16}, {11,16}, {2,51}, {10,38}, {10,58}, {8,60}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {9,26}, {5,14}, {7,46}, {11,52}, {1,41}, {2,23}, {4,45}, {1,51}, {9,54}, {10,19}, {9,22}, {9,19}, {3,44}, {11,44}, {8,59}, {3,25}, {2,43}, {2,27}, {12,30}, {7,34}, {10,31}, {10,44}, {7,58}, {6,13}, {4,17}, {9,30}, {5,39}, {8,53}, {3,32}, {6,45}, {8,34}, {9,25}, {5,40}, {7,23}, {12,45}, {12,29}, {1,57}, {6,31}, {11,32}, {11,54}, {10,52}, {1,16}, {3,22}, {4,14}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {6,37}, {8,32}, {10,28}, {5,31}, {2,19}, {3,60}, {2,41}, {5,20}, {12,14}, {1,60}, {7,29}, {11,56}, {8,29}, {9,23}, {7,21}, {8,36}, {2,45}, {5,46}, {4,55}, {6,47}, {10,50}, {10,15}, {11,30}, {3,50}, {3,34}, {2,21}, {5,24}, {4,46}, {3,56}, {2,31}, {11,45}, {1,33}, {8,58}, {12,36}, {5,26}, {12,44}, {7,47}, {2,37}, {4,42}, {5,29}, {12,53}, {4,25}, {3,28}, {12,33}, {11,19}, {12,58}, {2,57}, {12,60}, {7,25}, {9,50}, {7,22}, {6,41}, {9,15}, {12,34}, {6,28}, {6,42}, {4,35}, {1,56}, {1,50}, {11,28}, {2,47}, {5,18}, {5,16}, {10,24}, {5,55}, {11,20}, {10,27}, {10,34}, {3,40}, {8,35}, {8,54}, {6,21}, {12,59}, {12,57}, {7,20}, {5,42}, {2,38}, {10,43}, {6,55}, {6,53}, {7,44}, {8,28}, {9,49}, {1,27}, {5,44}, {5,13}, {12,54}, {10,23}, {4,52}, {9,43}, {3,37}, {7,13}, {9,42}, {9,14}, {10,14}, {12,35}, {1,37}, {7,57}, {12,21}, {2,14}, {12,51}, {3,46}, {5,48}, {5,33}, {2,58} }; // ETB60.286 // Bipartite(12,48) Valencies [24,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21035720123168587776 EdgesBipt[60][285]:={ {6,52}, {11,40}, {10,37}, {8,57}, {6,59}, {11,49}, {9,17}, {11,25}, {5,43}, {2,55}, {5,59}, {11,59}, {8,26}, {1,40}, {4,31}, {6,15}, {11,15}, {8,21}, {2,49}, {8,23}, {12,16}, {10,39}, {3,20}, {3,21}, {6,48}, {11,14}, {4,51}, {7,30}, {8,31}, {6,56}, {10,48}, {2,33}, {6,32}, {3,49}, {11,35}, {11,27}, {1,20}, {10,17}, {12,28}, {2,25}, {4,43}, {1,52}, {4,30}, {7,59}, {9,33}, {7,45}, {8,46}, {9,57}, {5,41}, {6,60}, {12,38}, {12,26}, {4,58}, {12,42}, {6,39}, {11,39}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {1,24}, {5,60}, {2,15}, {5,37}, {9,35}, {1,36}, {2,56}, {7,56}, {6,44}, {11,18}, {8,38}, {9,47}, {12,52}, {6,24}, {1,38}, {1,26}, {3,17}, {10,51}, {8,22}, {9,29}, {9,39}, {11,51}, {4,22}, {7,54}, {5,54}, {6,51}, {8,19}, {1,18}, {2,39}, {9,59}, {9,46}, {4,18}, {1,42}, {7,32}, {3,13}, {7,37}, {6,27}, {5,53}, {11,42}, {9,58}, {5,35}, {3,36}, {8,48}, {4,32}, {2,44}, {1,30}, {2,13}, {8,50}, {6,36}, {4,53}, {9,51}, {3,16}, {11,23}, {11,16}, {10,36}, {3,24}, {2,51}, {10,38}, {6,16}, {10,58}, {10,46}, {8,60}, {8,47}, {8,24}, {4,41}, {7,46}, {8,45}, {3,29}, {11,52}, {12,17}, {10,13}, {12,55}, {9,22}, {12,41}, {3,44}, {8,59}, {3,25}, {11,13}, {7,35}, {2,43}, {2,27}, {12,30}, {1,22}, {7,34}, {5,19}, {10,29}, {7,58}, {6,19}, {2,20}, {9,16}, {4,17}, {3,32}, {12,18}, {8,34}, {10,22}, {7,23}, {12,45}, {4,34}, {10,25}, {12,29}, {6,31}, {9,52}, {11,54}, {1,16}, {1,44}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {3,41}, {4,29}, {1,32}, {1,54}, {6,43}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {12,50}, {5,23}, {12,43}, {2,26}, {3,53}, {12,14}, {1,60}, {9,21}, {9,23}, {7,21}, {8,36}, {2,45}, {4,55}, {6,47}, {3,48}, {3,33}, {10,50}, {10,15}, {11,30}, {9,28}, {2,21}, {4,27}, {5,24}, {11,47}, {4,46}, {8,43}, {3,56}, {2,31}, {8,58}, {3,45}, {7,47}, {2,37}, {4,42}, {5,29}, {12,53}, {10,41}, {3,28}, {12,33}, {8,33}, {5,47}, {2,57}, {3,57}, {8,14}, {7,25}, {7,22}, {1,14}, {1,34}, {7,42}, {2,50}, {9,15}, {10,53}, {6,28}, {5,49}, {1,56}, {1,50}, {10,60}, {7,18}, {11,37}, {11,28}, {5,18}, {8,55}, {10,24}, {5,55}, {10,27}, {10,34}, {5,17}, {3,40}, {8,35}, {9,45}, {12,57}, {1,28}, {7,20}, {9,27}, {5,42}, {2,38}, {6,55}, {7,44}, {9,40}, {4,20}, {5,13}, {5,25}, {12,54}, {9,53}, {1,46}, {4,19}, {3,37}, {7,13}, {5,36}, {9,34}, {10,14}, {4,39}, {6,35}, {11,50}, {12,19}, {1,58}, {7,57}, {2,32}, {12,21}, {2,14}, {11,26}, {5,48}, {4,56}, {4,54}, {5,30}, {11,38}, {10,49}, {6,40} }; // ETB60.287 // Bipartite(15,45) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9478929289052160 EdgesBipt[60][286]:={ {6,52}, {11,40}, {15,38}, {6,59}, {9,32}, {5,38}, {9,17}, {10,18}, {11,25}, {4,28}, {5,59}, {11,59}, {5,45}, {12,22}, {3,26}, {1,40}, {14,38}, {13,39}, {14,50}, {15,54}, {8,40}, {5,57}, {10,33}, {3,19}, {11,57}, {14,31}, {11,53}, {12,16}, {2,18}, {1,21}, {3,21}, {14,45}, {3,39}, {15,56}, {5,32}, {15,41}, {4,40}, {6,56}, {14,57}, {10,48}, {13,40}, {2,33}, {6,32}, {3,49}, {11,35}, {11,29}, {10,56}, {6,29}, {11,27}, {3,18}, {12,48}, {4,43}, {1,52}, {2,52}, {8,30}, {7,59}, {12,46}, {8,37}, {12,20}, {6,60}, {8,52}, {13,30}, {4,58}, {6,39}, {10,26}, {2,17}, {12,31}, {10,20}, {5,60}, {13,24}, {13,47}, {2,48}, {13,55}, {9,56}, {1,36}, {15,19}, {12,37}, {10,35}, {6,44}, {11,18}, {13,26}, {9,47}, {4,49}, {12,52}, {6,24}, {13,16}, {5,34}, {1,26}, {2,36}, {8,49}, {13,41}, {10,51}, {8,22}, {1,43}, {9,29}, {12,49}, {7,54}, {8,19}, {10,59}, {5,27}, {6,17}, {14,46}, {2,39}, {9,59}, {9,46}, {4,18}, {8,18}, {14,35}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {11,22}, {6,27}, {11,42}, {5,53}, {9,58}, {14,34}, {3,36}, {15,50}, {8,48}, {13,17}, {14,54}, {14,60}, {4,32}, {1,30}, {13,18}, {14,28}, {12,47}, {1,55}, {13,48}, {3,16}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {2,51}, {15,37}, {10,38}, {14,23}, {10,58}, {15,34}, {11,33}, {8,60}, {13,25}, {14,39}, {11,48}, {8,24}, {4,41}, {9,38}, {9,26}, {7,46}, {8,45}, {3,59}, {3,29}, {11,52}, {12,17}, {1,41}, {2,23}, {1,51}, {13,53}, {15,23}, {9,22}, {9,19}, {4,47}, {3,44}, {11,44}, {13,45}, {8,59}, {7,35}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {7,50}, {4,33}, {1,22}, {4,57}, {9,31}, {5,19}, {10,44}, {10,29}, {7,58}, {15,52}, {15,53}, {13,56}, {1,25}, {4,17}, {9,16}, {13,31}, {14,27}, {7,28}, {6,45}, {12,18}, {8,34}, {10,30}, {5,40}, {4,50}, {12,45}, {6,22}, {4,34}, {15,35}, {1,57}, {15,24}, {9,52}, {1,16}, {3,42}, {14,43}, {15,40}, {13,38}, {15,49}, {9,41}, {7,39}, {3,41}, {15,39}, {9,44}, {6,37}, {7,24}, {6,57}, {10,28}, {6,20}, {2,54}, {7,40}, {12,50}, {5,23}, {1,60}, {10,21}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {14,16}, {14,58}, {4,55}, {6,47}, {3,48}, {3,33}, {13,32}, {1,45}, {10,50}, {9,28}, {3,34}, {2,21}, {4,27}, {7,55}, {2,22}, {8,43}, {3,56}, {14,19}, {3,54}, {8,58}, {12,36}, {2,53}, {7,47}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {7,31}, {12,33}, {8,33}, {5,47}, {2,57}, {3,57}, {6,54}, {15,55}, {7,51}, {14,49}, {11,31}, {12,60}, {14,24}, {5,51}, {7,25}, {6,26}, {5,21}, {6,41}, {10,53}, {12,34}, {8,44}, {6,42}, {4,35}, {13,33}, {15,51}, {14,20}, {15,21}, {5,49}, {1,56}, {13,54}, {10,60}, {11,37}, {2,47}, {7,16}, {8,55}, {11,20}, {5,55}, {14,42}, {5,17}, {13,60}, {7,17}, {10,45}, {13,23}, {8,54}, {15,22}, {4,26}, {15,20}, {1,28}, {3,27}, {7,20}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {7,44}, {8,28}, {9,49}, {7,43}, {11,55}, {4,20}, {1,27}, {5,44}, {5,25}, {10,23}, {9,53}, {15,26}, {9,43}, {14,53}, {1,46}, {4,19}, {8,39}, {5,36}, {9,34}, {13,46}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {6,50}, {1,37}, {1,58}, {8,25}, {2,42}, {4,48}, {2,32}, {12,21}, {12,51}, {3,46}, {2,58}, {15,25}, {4,56}, {5,30}, {11,38}, {9,37} }; // ETB60.288 // Bipartite(15,45) Valencies [24,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338533188894720 EdgesBipt[60][287]:={ {13,21}, {6,52}, {15,33}, {7,48}, {11,40}, {15,38}, {15,59}, {8,57}, {11,49}, {6,59}, {14,36}, {9,32}, {6,25}, {5,22}, {9,17}, {11,25}, {5,43}, {3,58}, {11,59}, {8,51}, {5,45}, {2,60}, {12,22}, {1,49}, {13,39}, {15,44}, {11,43}, {15,54}, {2,35}, {8,40}, {5,57}, {8,21}, {3,19}, {14,31}, {15,27}, {1,19}, {11,53}, {12,16}, {2,18}, {3,21}, {3,39}, {15,56}, {4,51}, {7,30}, {15,41}, {8,31}, {6,56}, {13,27}, {14,57}, {2,33}, {6,32}, {4,38}, {3,49}, {11,35}, {11,29}, {10,56}, {15,57}, {11,17}, {6,29}, {3,18}, {8,16}, {9,18}, {12,28}, {4,24}, {1,52}, {15,32}, {4,30}, {8,30}, {9,33}, {12,46}, {1,17}, {13,59}, {7,45}, {8,46}, {8,37}, {9,57}, {12,20}, {8,52}, {12,38}, {12,26}, {13,30}, {7,27}, {6,49}, {10,26}, {2,17}, {7,33}, {12,31}, {12,40}, {10,20}, {5,60}, {13,24}, {13,47}, {2,48}, {12,23}, {5,37}, {13,20}, {9,56}, {13,42}, {9,35}, {1,29}, {12,37}, {13,51}, {6,46}, {10,35}, {6,44}, {4,23}, {13,26}, {9,47}, {12,52}, {2,29}, {5,34}, {1,38}, {1,26}, {8,49}, {13,41}, {8,22}, {9,36}, {6,34}, {1,43}, {8,42}, {9,20}, {5,54}, {8,19}, {10,59}, {5,27}, {3,43}, {6,17}, {5,28}, {14,46}, {2,39}, {4,18}, {7,60}, {1,31}, {3,31}, {3,51}, {11,22}, {7,37}, {2,30}, {14,34}, {3,36}, {4,21}, {13,17}, {14,54}, {4,60}, {2,44}, {14,28}, {12,47}, {12,56}, {4,53}, {10,16}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {10,38}, {6,16}, {10,58}, {10,46}, {8,60}, {14,39}, {10,55}, {8,24}, {4,41}, {9,38}, {9,26}, {14,21}, {7,46}, {8,45}, {11,58}, {11,52}, {12,17}, {13,36}, {1,41}, {2,23}, {4,45}, {12,55}, {1,59}, {10,19}, {15,23}, {12,41}, {11,44}, {13,45}, {3,25}, {11,34}, {5,52}, {2,27}, {4,33}, {1,22}, {10,31}, {5,19}, {10,44}, {10,29}, {7,58}, {15,53}, {13,56}, {13,50}, {6,19}, {2,20}, {9,30}, {5,39}, {14,27}, {7,28}, {8,34}, {13,29}, {14,52}, {5,40}, {4,50}, {6,22}, {10,25}, {6,31}, {11,32}, {15,24}, {12,25}, {1,16}, {14,43}, {13,57}, {14,37}, {1,44}, {9,41}, {15,17}, {4,36}, {15,39}, {4,29}, {1,32}, {4,59}, {7,52}, {6,37}, {10,28}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {12,50}, {12,43}, {10,40}, {9,21}, {9,23}, {7,21}, {14,16}, {8,36}, {13,44}, {14,58}, {8,27}, {2,45}, {6,47}, {3,48}, {3,33}, {13,32}, {10,50}, {14,51}, {3,34}, {7,55}, {5,24}, {11,47}, {15,29}, {14,19}, {5,58}, {3,54}, {3,45}, {2,53}, {12,53}, {10,41}, {3,28}, {7,31}, {11,19}, {12,58}, {2,57}, {7,51}, {14,49}, {15,47}, {1,53}, {15,48}, {14,24}, {7,25}, {9,50}, {7,22}, {6,26}, {1,34}, {15,42}, {13,35}, {14,18}, {7,42}, {2,50}, {6,41}, {10,53}, {9,60}, {4,35}, {15,51}, {15,21}, {5,49}, {1,56}, {13,54}, {7,18}, {11,37}, {11,28}, {2,47}, {7,16}, {1,23}, {5,18}, {8,55}, {11,20}, {5,55}, {14,42}, {10,34}, {15,18}, {3,40}, {13,60}, {8,54}, {9,45}, {4,26}, {1,28}, {9,27}, {5,42}, {2,38}, {2,59}, {12,32}, {15,36}, {10,43}, {6,55}, {7,43}, {11,55}, {4,20}, {5,25}, {10,23}, {9,53}, {15,26}, {1,46}, {8,39}, {14,22}, {9,42}, {4,39}, {12,35}, {7,36}, {6,35}, {11,50}, {6,50}, {14,48}, {1,37}, {1,58}, {8,25}, {2,42}, {4,48}, {7,57}, {2,32}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {4,54}, {5,30}, {11,38}, {10,49}, {6,40} }; // ETB60.289 // Bipartite(20,40) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13094346226299794620416000000 EdgesBipt[60][288]:={ {13,21}, {6,52}, {15,33}, {7,48}, {19,28}, {11,40}, {10,37}, {16,47}, {15,38}, {15,59}, {8,57}, {11,49}, {9,32}, {6,25}, {5,38}, {5,56}, {16,51}, {19,26}, {11,25}, {5,43}, {2,55}, {3,58}, {5,59}, {11,59}, {8,51}, {19,57}, {2,60}, {3,26}, {8,26}, {1,49}, {1,40}, {16,22}, {17,42}, {15,44}, {11,43}, {14,50}, {15,54}, {2,35}, {17,33}, {3,35}, {10,33}, {8,21}, {16,55}, {11,53}, {2,49}, {3,23}, {10,39}, {3,21}, {14,45}, {16,37}, {19,37}, {15,56}, {20,37}, {20,58}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {4,37}, {20,52}, {2,46}, {6,56}, {13,43}, {14,57}, {14,29}, {10,48}, {16,21}, {19,21}, {13,40}, {14,44}, {6,32}, {17,35}, {11,35}, {11,29}, {10,42}, {10,47}, {20,38}, {2,34}, {19,31}, {2,25}, {4,24}, {16,42}, {18,32}, {4,30}, {9,33}, {12,46}, {20,43}, {7,45}, {8,46}, {8,37}, {9,57}, {20,24}, {5,41}, {6,60}, {8,52}, {16,60}, {20,49}, {12,26}, {13,30}, {7,27}, {19,22}, {11,39}, {7,33}, {12,31}, {12,40}, {19,48}, {20,29}, {1,24}, {20,39}, {19,52}, {13,55}, {16,25}, {9,56}, {1,29}, {19,42}, {13,51}, {2,56}, {6,46}, {18,39}, {13,58}, {18,57}, {13,26}, {17,47}, {9,47}, {4,49}, {2,29}, {5,34}, {18,47}, {1,38}, {18,46}, {14,32}, {2,36}, {8,49}, {13,41}, {16,40}, {20,42}, {8,22}, {18,29}, {9,36}, {1,43}, {12,49}, {8,42}, {18,26}, {4,22}, {5,54}, {18,36}, {6,51}, {3,38}, {10,59}, {18,59}, {19,46}, {3,43}, {15,28}, {5,28}, {18,56}, {2,39}, {9,46}, {14,35}, {7,32}, {12,24}, {7,60}, {19,56}, {19,38}, {3,31}, {19,47}, {3,51}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {17,57}, {9,58}, {14,34}, {3,36}, {19,23}, {11,60}, {14,54}, {14,60}, {4,32}, {4,60}, {2,44}, {1,30}, {8,56}, {19,27}, {12,56}, {6,36}, {1,55}, {18,51}, {3,30}, {3,55}, {13,48}, {9,51}, {10,57}, {2,24}, {11,23}, {16,57}, {2,51}, {10,38}, {10,58}, {15,34}, {11,33}, {18,22}, {13,25}, {17,58}, {14,39}, {11,48}, {8,47}, {8,24}, {8,41}, {9,38}, {9,26}, {11,58}, {13,36}, {20,22}, {4,45}, {12,55}, {1,59}, {13,53}, {15,23}, {9,22}, {12,41}, {18,54}, {20,54}, {11,44}, {4,47}, {13,45}, {8,59}, {3,25}, {11,34}, {17,55}, {17,28}, {7,35}, {16,56}, {15,58}, {12,30}, {6,30}, {7,50}, {11,24}, {4,57}, {9,31}, {10,44}, {10,29}, {7,58}, {15,53}, {13,56}, {1,25}, {13,50}, {13,31}, {5,39}, {14,27}, {18,44}, {16,41}, {7,28}, {6,45}, {20,44}, {19,41}, {8,34}, {14,52}, {15,46}, {17,30}, {10,22}, {20,47}, {4,50}, {7,23}, {16,30}, {12,45}, {6,22}, {4,34}, {17,38}, {12,29}, {6,31}, {15,24}, {17,52}, {9,52}, {12,25}, {11,54}, {16,26}, {10,52}, {14,37}, {1,44}, {13,38}, {15,49}, {10,54}, {19,53}, {18,31}, {1,48}, {14,40}, {9,41}, {16,31}, {16,45}, {20,59}, {3,41}, {15,39}, {4,29}, {1,54}, {4,59}, {7,52}, {6,37}, {8,32}, {6,57}, {10,28}, {5,31}, {17,22}, {17,25}, {20,48}, {3,60}, {4,44}, {2,54}, {7,40}, {2,41}, {12,50}, {5,23}, {20,32}, {2,26}, {3,53}, {17,50}, {18,41}, {1,60}, {14,55}, {18,21}, {9,21}, {14,47}, {8,29}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {16,36}, {1,45}, {11,30}, {3,50}, {19,33}, {9,28}, {2,21}, {4,27}, {19,43}, {7,55}, {20,57}, {16,46}, {5,24}, {15,29}, {14,59}, {18,24}, {18,52}, {3,56}, {2,31}, {11,45}, {1,33}, {18,27}, {20,28}, {5,58}, {20,53}, {12,36}, {3,45}, {16,27}, {5,26}, {12,44}, {7,47}, {4,42}, {5,29}, {16,50}, {4,25}, {3,28}, {14,30}, {12,39}, {20,27}, {18,49}, {14,49}, {20,33}, {1,53}, {15,48}, {12,60}, {14,24}, {5,51}, {17,60}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {17,40}, {20,23}, {12,34}, {8,44}, {19,36}, {19,58}, {6,42}, {4,35}, {19,32}, {13,33}, {15,51}, {14,25}, {15,21}, {5,49}, {20,34}, {1,50}, {11,28}, {1,23}, {16,35}, {10,24}, {14,42}, {10,27}, {10,34}, {17,53}, {3,40}, {13,60}, {13,23}, {17,27}, {2,40}, {8,54}, {6,21}, {17,45}, {12,59}, {17,37}, {1,28}, {13,28}, {16,52}, {9,27}, {7,38}, {2,59}, {15,36}, {10,43}, {15,31}, {6,55}, {7,43}, {11,55}, {19,51}, {5,44}, {12,54}, {17,23}, {10,23}, {9,53}, {4,52}, {15,26}, {9,43}, {8,39}, {14,22}, {9,42}, {5,36}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {6,35}, {17,32}, {11,50}, {17,43}, {6,50}, {1,58}, {18,42}, {16,32}, {7,57}, {12,21}, {18,34}, {12,51}, {3,46}, {9,48}, {5,48}, {17,48}, {5,33}, {18,37}, {4,54}, {11,38}, {10,49}, {9,37}, {6,40} }; // ETB60.290 // Bipartite(20,40) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60582873954725532794880 EdgesBipt[60][289]:={ {13,25}, {7,49}, {13,40}, {6,36}, {11,42}, {14,48}, {20,26}, {3,29}, {16,28}, {20,33}, {19,41}, {7,47}, {2,26}, {17,56}, {19,22}, {4,60}, {7,57}, {3,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {17,54}, {2,57}, {7,24}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {3,55}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {1,32}, {20,27}, {4,28}, {19,51}, {9,21}, {13,43}, {17,29}, {18,49}, {15,33}, {19,58}, {6,28}, {5,43}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {4,30}, {14,54}, {2,38}, {20,42}, {4,52}, {12,27}, {19,60}, {4,38}, {1,49}, {11,39}, {7,54}, {16,33}, {19,38}, {7,26}, {13,51}, {4,34}, {7,60}, {13,29}, {10,22}, {18,37}, {10,42}, {14,40}, {9,41}, {11,35}, {3,27}, {8,59}, {18,29}, {19,30}, {11,29}, {1,53}, {5,47}, {18,50}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {1,55}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {7,59}, {2,37}, {9,50}, {7,30}, {5,26}, {8,40}, {6,58}, {11,48}, {2,59}, {6,35}, {16,23}, {20,44}, {8,57}, {9,22}, {4,41}, {18,53}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {13,33}, {18,35}, {10,23}, {15,24}, {20,32}, {1,26}, {18,31}, {1,25}, {14,51}, {19,21}, {5,46}, {3,51}, {18,55}, {16,42}, {12,44}, {15,34}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {9,31}, {5,33}, {1,22}, {12,56}, {16,43}, {8,47}, {6,39}, {2,44}, {17,48}, {19,35}, {1,42}, {8,49}, {19,31}, {8,21}, {4,45}, {18,21}, {11,56}, {2,28}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {12,39}, {14,50}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {15,27}, {14,35}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {15,57}, {9,28}, {20,52}, {2,56}, {19,24}, {16,35}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {17,26}, {19,44}, {9,52}, {12,50}, {10,31}, {11,49}, {13,23}, {12,58}, {19,32}, {7,37}, {19,52}, {1,28}, {3,43}, {16,48}, {20,23}, {17,46}, {4,58}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {12,49}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {10,46}, {20,31}, {8,33}, {11,45}, {13,50}, {9,44}, {15,23}, {9,42}, {13,35}, {8,55}, {10,24}, {17,36}, {9,35}, {12,24}, {14,28}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {2,40}, {17,50}, {6,53}, {16,46}, {4,40}, {16,36}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {10,37}, {18,60}, {10,52}, {15,37}, {4,42}, {3,53}, {14,41}, {9,60}, {8,25}, {5,34}, {1,43}, {15,46}, {1,52}, {1,59}, {16,22}, {3,35}, {18,23}, {9,40}, {14,31}, {8,45}, {7,46}, {19,28}, {20,37}, {11,33}, {13,37}, {8,27}, {10,53}, {13,59}, {6,46}, {2,49}, {12,57}, {15,22}, {6,56}, {9,30}, {10,57}, {18,30}, {11,59}, {4,22}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {15,44}, {8,51}, {9,34}, {6,22}, {3,60}, {16,52}, {16,25}, {3,57}, {17,44}, {6,32}, {15,31}, {17,59}, {14,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {5,41}, {13,41}, {4,55}, {18,39}, {9,48}, {13,21}, {14,34}, {11,23}, {19,55}, {3,59}, {20,21}, {14,30}, {7,38}, {17,24}, {4,54}, {13,31}, {5,31}, {4,51}, {4,25}, {3,30}, {18,33}, {17,38}, {1,56}, {1,46}, {10,34}, {7,48}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {1,45}, {16,56}, {17,58}, {17,39}, {6,42}, {11,26}, {13,57}, {7,44}, {20,34}, {11,46}, {4,31}, {3,41}, {10,33}, {17,49}, {20,24}, {16,39}, {1,38}, {5,37}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {9,45}, {14,42}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {19,45}, {4,50}, {2,50}, {4,48}, {8,43}, {2,48}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {14,55}, {15,52}, {19,48}, {18,47}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {18,57}, {7,58}, {11,25}, {20,56}, {17,27}, {6,38}, {17,60}, {14,45}, {5,44}, {3,45}, {11,22}, {16,32}, {9,32}, {16,53}, {20,47}, {14,58}, {16,45}, {7,50}, {19,34}, {13,47}, {15,53}, {2,54}, {3,40}, {16,59}, {20,46}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {19,25}, {15,26}, {18,41}, {16,38}, {5,57}, {16,49}, {12,37}, {13,60}, {17,30}, {5,24}, {20,36}, {15,47}, {13,45}, {12,29}, {4,35}, {10,47}, {20,53}, {10,32}, {17,47}, {8,50}, {6,59}, {8,53}, {12,46}, {1,58}, {5,54}, {6,29} }; // ETB60.291 // Bipartite(20,40) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7791007453025402880 EdgesBipt[60][290]:={ {3,42}, {7,49}, {15,28}, {11,42}, {4,46}, {3,29}, {16,28}, {4,26}, {20,25}, {19,41}, {7,47}, {17,56}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {18,58}, {14,47}, {17,54}, {7,24}, {6,48}, {11,52}, {12,25}, {15,54}, {10,54}, {2,39}, {18,38}, {2,24}, {15,50}, {1,32}, {20,27}, {19,51}, {8,36}, {9,21}, {19,37}, {17,29}, {9,49}, {8,26}, {15,33}, {13,22}, {6,28}, {16,54}, {5,43}, {16,57}, {2,30}, {14,25}, {20,22}, {5,56}, {10,27}, {1,41}, {3,54}, {10,55}, {20,42}, {4,52}, {19,49}, {19,60}, {6,34}, {17,22}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {18,28}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {10,42}, {9,41}, {14,33}, {3,32}, {11,31}, {11,37}, {8,38}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {20,57}, {14,22}, {11,21}, {19,40}, {3,22}, {15,51}, {5,53}, {5,23}, {7,59}, {9,50}, {14,43}, {7,30}, {5,26}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {17,32}, {6,35}, {5,50}, {16,23}, {20,44}, {3,48}, {4,41}, {18,53}, {20,58}, {13,54}, {7,34}, {20,54}, {9,55}, {15,43}, {18,35}, {15,24}, {20,32}, {9,27}, {14,51}, {19,21}, {18,42}, {5,46}, {3,51}, {18,55}, {15,34}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {9,31}, {5,33}, {1,22}, {6,57}, {6,24}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {19,31}, {18,26}, {14,23}, {4,45}, {1,27}, {9,25}, {5,36}, {20,60}, {9,26}, {12,39}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {1,29}, {2,34}, {14,35}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {20,52}, {20,40}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {2,55}, {11,49}, {8,56}, {7,37}, {1,28}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {6,43}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {5,21}, {7,36}, {9,39}, {13,26}, {14,37}, {8,33}, {10,28}, {15,23}, {15,60}, {19,57}, {8,55}, {16,37}, {13,32}, {10,24}, {2,25}, {17,36}, {3,28}, {9,35}, {12,24}, {12,45}, {15,36}, {16,29}, {13,46}, {2,40}, {17,50}, {11,51}, {6,53}, {5,60}, {9,59}, {15,30}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {18,60}, {9,46}, {10,52}, {4,42}, {20,38}, {14,41}, {9,60}, {8,25}, {5,34}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {1,59}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {20,37}, {11,57}, {11,33}, {5,58}, {4,47}, {5,30}, {13,59}, {2,49}, {16,27}, {14,46}, {9,30}, {10,57}, {5,40}, {3,46}, {18,30}, {11,59}, {4,22}, {6,23}, {1,23}, {19,56}, {1,48}, {7,22}, {15,44}, {19,36}, {14,57}, {13,28}, {16,25}, {17,44}, {2,33}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {19,39}, {12,59}, {5,41}, {13,41}, {15,48}, {4,55}, {19,29}, {3,34}, {13,21}, {2,43}, {3,38}, {13,44}, {11,23}, {19,55}, {1,47}, {3,59}, {8,42}, {20,35}, {15,38}, {8,32}, {17,24}, {7,52}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {18,33}, {6,54}, {10,34}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,50}, {17,34}, {18,46}, {18,56}, {10,30}, {17,39}, {7,32}, {13,38}, {13,24}, {12,51}, {7,44}, {20,34}, {17,52}, {19,59}, {9,56}, {4,31}, {3,41}, {17,49}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {16,39}, {1,38}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {3,21}, {19,27}, {12,60}, {18,40}, {17,57}, {20,48}, {9,45}, {14,42}, {13,52}, {18,45}, {3,39}, {7,56}, {13,58}, {12,34}, {15,41}, {19,45}, {16,44}, {2,50}, {8,43}, {16,58}, {2,23}, {7,39}, {15,21}, {9,51}, {10,44}, {1,33}, {12,30}, {6,33}, {14,55}, {19,26}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {17,40}, {8,46}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {4,43}, {11,22}, {1,51}, {16,53}, {3,58}, {18,32}, {20,47}, {16,45}, {7,50}, {12,43}, {1,21}, {10,45}, {15,53}, {2,54}, {16,59}, {13,49}, {15,56}, {1,57}, {19,25}, {15,26}, {20,55}, {16,38}, {16,49}, {4,53}, {10,58}, {17,30}, {5,24}, {12,31}, {16,47}, {20,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {10,32}, {16,24}, {17,47}, {8,50}, {6,59}, {12,55}, {8,53}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.292 // Bipartite(20,40) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3019898880 EdgesBipt[60][291]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {3,29}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {19,22}, {4,60}, {8,28}, {3,49}, {14,49}, {5,32}, {4,24}, {5,52}, {14,47}, {6,60}, {12,42}, {17,54}, {7,24}, {18,51}, {6,48}, {11,52}, {3,55}, {12,25}, {15,54}, {10,54}, {7,53}, {7,28}, {15,50}, {20,27}, {8,36}, {9,21}, {19,37}, {17,29}, {8,26}, {10,29}, {19,58}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {1,41}, {3,54}, {4,30}, {8,24}, {4,52}, {4,38}, {11,39}, {2,21}, {16,33}, {19,38}, {18,28}, {8,44}, {4,34}, {13,29}, {13,48}, {10,22}, {20,29}, {12,22}, {10,42}, {9,41}, {17,45}, {17,25}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {20,28}, {18,50}, {10,25}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {11,21}, {15,59}, {3,22}, {15,51}, {13,53}, {5,23}, {18,54}, {4,59}, {17,51}, {14,43}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {6,35}, {5,50}, {20,44}, {13,54}, {7,51}, {8,39}, {9,55}, {18,27}, {12,38}, {11,44}, {13,33}, {18,35}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {19,21}, {18,42}, {5,46}, {3,51}, {18,55}, {16,42}, {12,44}, {15,34}, {16,30}, {8,58}, {8,35}, {5,27}, {6,40}, {7,23}, {20,39}, {4,39}, {1,22}, {6,57}, {8,47}, {6,39}, {10,50}, {2,45}, {19,35}, {1,42}, {16,34}, {10,48}, {18,26}, {14,23}, {11,56}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {20,60}, {7,31}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {2,34}, {15,55}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {9,28}, {20,49}, {20,52}, {20,40}, {5,28}, {5,51}, {9,37}, {17,53}, {12,21}, {17,26}, {11,41}, {8,34}, {12,50}, {2,22}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {11,49}, {8,56}, {16,60}, {12,58}, {1,28}, {3,43}, {18,48}, {20,23}, {17,46}, {4,58}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {20,31}, {10,28}, {13,50}, {9,44}, {15,60}, {14,59}, {19,57}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {18,44}, {9,35}, {12,24}, {12,45}, {15,36}, {10,36}, {16,29}, {1,60}, {13,46}, {9,43}, {17,50}, {11,51}, {6,53}, {5,60}, {9,59}, {15,30}, {4,40}, {16,36}, {6,45}, {18,43}, {17,37}, {2,42}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {9,60}, {15,46}, {13,36}, {9,23}, {16,22}, {3,35}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,22}, {6,47}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {13,37}, {8,27}, {10,53}, {5,30}, {2,49}, {12,57}, {19,43}, {14,46}, {6,56}, {5,40}, {18,30}, {11,59}, {4,22}, {1,40}, {10,26}, {17,31}, {1,48}, {14,57}, {16,41}, {13,28}, {16,52}, {3,57}, {2,33}, {17,35}, {6,32}, {15,31}, {9,47}, {17,59}, {18,36}, {6,55}, {7,27}, {4,32}, {15,58}, {19,39}, {2,27}, {15,35}, {15,48}, {4,55}, {8,54}, {19,33}, {3,34}, {9,48}, {3,38}, {2,43}, {11,23}, {19,55}, {16,40}, {6,51}, {3,59}, {9,33}, {8,42}, {20,21}, {15,38}, {14,30}, {7,52}, {4,54}, {5,31}, {4,51}, {3,30}, {17,38}, {1,56}, {1,46}, {10,34}, {7,48}, {6,25}, {11,43}, {2,53}, {20,51}, {19,42}, {17,34}, {12,26}, {18,46}, {18,56}, {1,45}, {16,56}, {10,30}, {17,58}, {17,39}, {7,32}, {13,38}, {13,57}, {7,44}, {19,59}, {9,56}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {19,47}, {13,34}, {20,24}, {18,24}, {1,38}, {7,41}, {8,23}, {2,29}, {14,21}, {3,21}, {19,27}, {12,60}, {20,59}, {1,36}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {11,55}, {19,45}, {7,21}, {16,44}, {4,50}, {2,50}, {8,43}, {16,58}, {2,23}, {10,56}, {10,44}, {1,33}, {12,30}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {16,21}, {18,47}, {6,27}, {12,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {13,56}, {17,27}, {19,46}, {8,48}, {11,40}, {9,57}, {14,45}, {5,44}, {4,43}, {16,32}, {16,53}, {3,58}, {18,32}, {17,55}, {20,47}, {14,58}, {5,39}, {1,21}, {19,34}, {10,45}, {2,54}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {16,38}, {16,49}, {12,37}, {13,60}, {17,30}, {5,24}, {7,33}, {15,47}, {20,45}, {13,45}, {12,29}, {4,35}, {2,35}, {17,33}, {10,32}, {16,24}, {17,47}, {6,59}, {11,60}, {10,49}, {12,46}, {4,36}, {1,58}, {6,29}, {2,31} }; // ETB60.293 // Bipartite(24,36) Valencies [24,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 43223876428808443958183872954368000000000 EdgesBipt[60][292]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {20,26}, {16,28}, {20,33}, {4,26}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {3,49}, {5,32}, {22,49}, {18,58}, {14,47}, {6,60}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {9,58}, {6,48}, {3,55}, {12,25}, {22,56}, {15,54}, {2,39}, {7,28}, {7,53}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {19,58}, {6,28}, {12,52}, {22,25}, {2,30}, {5,56}, {3,25}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {2,38}, {20,42}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {19,38}, {7,26}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {22,28}, {18,37}, {15,45}, {20,29}, {21,46}, {17,45}, {14,33}, {24,36}, {11,35}, {3,27}, {8,59}, {8,38}, {22,29}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {21,57}, {10,25}, {12,48}, {20,57}, {11,36}, {1,55}, {19,40}, {24,48}, {16,26}, {15,51}, {5,53}, {13,53}, {18,54}, {4,59}, {7,59}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {4,41}, {8,39}, {22,32}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {11,44}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {24,30}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {6,57}, {21,55}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {22,41}, {11,56}, {22,26}, {9,25}, {4,44}, {5,36}, {20,60}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {21,37}, {1,29}, {15,55}, {15,27}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {24,58}, {15,57}, {9,28}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {8,56}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {3,36}, {14,36}, {4,58}, {24,25}, {9,54}, {11,50}, {6,43}, {23,26}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {23,32}, {9,39}, {13,26}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {15,60}, {14,59}, {22,59}, {9,42}, {13,35}, {16,37}, {13,32}, {17,36}, {3,28}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {5,60}, {16,46}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {21,27}, {10,37}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {7,35}, {21,43}, {23,48}, {20,38}, {14,41}, {4,29}, {9,60}, {24,57}, {1,43}, {15,46}, {1,52}, {1,59}, {4,49}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {5,59}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {13,59}, {6,46}, {12,57}, {21,54}, {19,43}, {23,44}, {9,30}, {3,46}, {16,31}, {24,42}, {18,30}, {11,59}, {1,40}, {10,26}, {19,56}, {8,29}, {23,41}, {8,51}, {9,34}, {14,57}, {15,25}, {3,60}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {17,59}, {18,36}, {10,59}, {6,55}, {4,32}, {15,58}, {2,27}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {23,60}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {13,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {24,28}, {6,25}, {3,52}, {2,53}, {20,51}, {19,50}, {13,55}, {18,46}, {23,51}, {24,46}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {19,59}, {4,31}, {11,54}, {15,39}, {19,47}, {23,57}, {13,34}, {14,56}, {22,50}, {15,49}, {1,38}, {7,41}, {2,29}, {20,30}, {14,44}, {12,60}, {20,59}, {18,40}, {17,57}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {23,35}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {21,52}, {2,48}, {23,59}, {16,58}, {10,56}, {14,60}, {9,51}, {10,44}, {12,30}, {6,33}, {2,32}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {20,41}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {13,56}, {17,27}, {19,46}, {8,48}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {16,53}, {3,58}, {24,40}, {23,30}, {20,47}, {22,31}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {23,42}, {2,54}, {21,49}, {3,40}, {16,59}, {23,27}, {12,36}, {22,44}, {13,49}, {21,39}, {3,33}, {23,47}, {19,25}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {17,30}, {12,31}, {16,47}, {20,36}, {20,45}, {21,60}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {24,60}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB60.294 // Bipartite(24,36) Valencies [24,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 36349724372835319676928 EdgesBipt[60][293]:={ {13,25}, {3,42}, {15,28}, {6,36}, {24,33}, {11,42}, {4,46}, {3,29}, {16,28}, {20,33}, {4,26}, {20,25}, {19,41}, {24,59}, {22,37}, {14,29}, {22,53}, {17,56}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {22,49}, {18,58}, {5,52}, {8,37}, {14,47}, {6,60}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {22,56}, {7,53}, {7,28}, {15,50}, {20,27}, {1,32}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {23,56}, {9,49}, {10,29}, {15,33}, {5,43}, {16,57}, {12,32}, {22,25}, {14,25}, {5,56}, {1,41}, {23,54}, {4,30}, {10,55}, {14,54}, {20,42}, {2,38}, {2,52}, {23,45}, {23,53}, {4,52}, {12,27}, {4,38}, {24,39}, {21,31}, {7,54}, {7,26}, {11,27}, {4,34}, {22,28}, {13,48}, {20,29}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {8,38}, {19,30}, {22,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {21,57}, {23,49}, {20,28}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {19,54}, {1,55}, {24,48}, {15,59}, {16,26}, {15,51}, {5,53}, {13,53}, {18,54}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {5,26}, {6,31}, {2,41}, {6,58}, {2,59}, {6,35}, {21,30}, {23,33}, {5,45}, {3,48}, {21,42}, {18,53}, {13,54}, {7,34}, {20,54}, {9,55}, {18,27}, {2,36}, {11,44}, {18,35}, {20,32}, {1,26}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {12,44}, {24,30}, {16,30}, {2,60}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {5,33}, {4,39}, {6,57}, {21,55}, {22,47}, {16,43}, {8,47}, {6,39}, {2,45}, {19,35}, {23,52}, {16,34}, {10,48}, {18,26}, {11,56}, {22,26}, {2,28}, {20,43}, {1,27}, {4,44}, {5,36}, {20,60}, {12,39}, {24,54}, {12,33}, {5,38}, {1,37}, {14,50}, {8,60}, {3,50}, {21,37}, {2,34}, {15,55}, {12,41}, {5,42}, {21,59}, {6,49}, {4,56}, {3,31}, {2,47}, {10,43}, {5,29}, {24,58}, {15,57}, {9,28}, {20,52}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {11,58}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {19,44}, {22,46}, {8,34}, {9,29}, {12,50}, {15,40}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {12,58}, {19,32}, {7,37}, {19,52}, {1,28}, {18,48}, {16,48}, {14,36}, {4,58}, {24,50}, {23,26}, {21,56}, {11,53}, {2,51}, {12,49}, {3,37}, {1,35}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {15,60}, {14,59}, {24,53}, {9,42}, {21,50}, {19,57}, {13,35}, 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{13,44}, {19,55}, {16,40}, {6,51}, {3,59}, {9,33}, {8,42}, {15,38}, {8,32}, {22,39}, {7,52}, {12,53}, {23,40}, {5,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {13,39}, {11,43}, {20,51}, {19,50}, {17,34}, {13,55}, {12,26}, {23,51}, {1,45}, {16,56}, {10,30}, {17,58}, {6,42}, {7,32}, {11,26}, {24,26}, {13,57}, {12,51}, {20,34}, {7,44}, {17,52}, {19,59}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {17,49}, {10,39}, {13,34}, {14,56}, {23,25}, {3,56}, {15,49}, {16,39}, {7,41}, {2,29}, {19,27}, {12,60}, {20,59}, {1,36}, {18,40}, {13,30}, {24,32}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {6,26}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {2,50}, {4,48}, {8,43}, {16,58}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {12,30}, {6,33}, {2,32}, {14,55}, {19,26}, {22,34}, {19,48}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {11,25}, {20,56}, {17,27}, {19,46}, {11,40}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {21,48}, {4,43}, {24,45}, {9,32}, {16,53}, {3,58}, {18,32}, {21,32}, {24,40}, {20,47}, {22,31}, {22,58}, {22,35}, {7,50}, {19,34}, {23,42}, {2,54}, {21,49}, {3,40}, {20,46}, {23,27}, {12,36}, {22,44}, {21,39}, {15,56}, {3,33}, {1,57}, {23,47}, {19,25}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {10,58}, {24,41}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {21,60}, {13,45}, {4,37}, {22,57}, {4,35}, {10,47}, {17,33}, {17,47}, {8,50}, {21,38}, {24,60}, {6,59}, {11,60}, {6,41}, {10,49}, {5,54} }; // ETB60.295 // Bipartite(24,36) Valencies [24,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4674604471815241728 EdgesBipt[60][294]:={ {13,25}, {7,49}, {15,28}, {6,36}, {24,33}, {11,42}, {14,48}, {20,26}, {3,29}, {20,33}, {4,26}, {19,41}, {22,37}, {14,29}, {2,26}, {17,56}, {20,50}, {3,49}, {4,57}, {14,49}, {5,32}, {18,58}, {5,52}, {14,47}, {6,60}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {2,39}, {7,28}, {7,53}, {15,50}, {20,27}, {1,32}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {24,52}, {19,58}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {22,51}, {22,25}, {2,30}, {5,56}, {3,25}, {1,41}, {23,50}, {4,30}, {10,55}, {20,42}, {2,38}, {23,53}, {4,52}, {19,49}, {12,27}, {19,60}, {6,34}, {4,38}, {11,39}, {21,31}, {7,54}, {7,26}, {18,28}, {8,44}, {4,34}, {7,60}, {22,28}, {13,48}, {18,37}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {8,38}, {22,29}, {1,53}, {5,47}, {17,42}, {21,57}, {23,49}, {10,25}, {12,35}, {20,57}, {19,54}, {1,55}, {19,40}, {15,59}, {16,26}, {10,51}, {13,53}, {18,54}, {7,59}, {2,37}, {17,51}, {9,50}, {5,25}, {6,31}, {6,58}, {11,48}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {8,57}, {13,54}, {7,51}, {8,39}, {22,32}, {20,54}, {9,55}, {15,43}, {18,27}, {12,38}, {11,44}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {18,42}, {18,55}, {15,34}, {12,44}, {16,30}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {6,57}, {21,55}, {12,56}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {19,35}, {23,52}, {16,34}, {10,48}, {19,31}, {22,41}, {4,45}, {2,28}, {1,27}, {4,44}, {20,60}, {5,36}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {22,60}, {1,37}, {8,60}, {6,52}, {3,50}, {21,37}, {15,55}, {14,35}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {9,28}, {2,56}, {16,35}, {21,40}, {5,51}, {11,58}, {8,30}, {9,37}, {11,41}, {19,44}, {22,46}, {24,55}, {9,29}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {22,38}, {11,49}, {8,56}, {19,32}, {7,37}, {21,45}, {1,28}, {3,43}, {18,48}, {16,48}, {7,42}, {4,58}, {24,25}, {9,54}, {11,50}, {6,43}, {23,26}, {12,47}, {21,56}, {11,53}, {2,51}, {6,37}, {12,28}, {3,37}, {1,35}, {2,58}, {23,32}, {7,36}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {8,33}, {10,28}, {13,50}, {24,53}, {22,59}, {21,50}, {13,35}, {1,54}, {13,32}, {17,36}, {21,29}, {3,28}, {14,28}, {12,45}, {16,29}, {8,41}, {13,46}, {2,40}, {17,50}, {11,51}, {5,60}, {9,59}, {24,34}, {4,40}, {16,36}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {18,25}, {21,27}, {10,37}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {23,48}, {3,53}, {15,29}, {20,38}, {4,29}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {9,40}, {14,31}, {8,45}, {7,46}, {19,28}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {4,47}, {24,35}, {13,37}, {24,37}, {8,27}, {13,59}, {6,46}, {2,49}, {21,54}, {16,27}, {23,44}, {14,46}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {22,30}, {24,42}, {18,30}, {11,59}, {17,31}, {8,29}, {1,48}, {15,44}, {23,41}, {8,51}, {19,36}, {14,57}, {15,25}, {13,28}, {16,52}, {16,25}, {2,33}, {15,31}, {24,47}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {6,55}, {7,27}, {15,58}, {15,35}, {5,41}, {13,41}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {3,38}, {23,60}, {13,44}, {19,55}, {16,40}, {6,51}, {3,59}, {20,35}, {8,42}, {15,38}, {14,30}, {8,32}, {22,39}, {4,54}, {12,53}, {23,40}, {5,31}, {4,25}, {10,38}, {10,60}, {24,27}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {24,28}, {5,49}, {6,25}, {13,39}, {11,43}, {3,52}, {20,51}, {2,53}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {23,51}, {24,46}, {1,45}, {16,56}, {10,30}, {17,58}, {6,42}, {7,32}, {11,26}, {24,26}, {13,57}, {12,51}, {7,44}, {17,52}, {19,59}, {9,56}, {4,31}, {3,41}, {10,33}, {17,49}, {10,39}, {23,57}, {13,34}, {14,56}, {23,25}, {22,50}, {3,56}, {15,49}, {16,39}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {19,27}, {12,60}, {20,59}, {1,36}, {18,40}, {13,30}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {2,46}, {10,41}, {12,34}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {17,41}, {4,48}, {11,30}, {2,48}, {23,59}, {16,58}, {10,56}, {14,60}, {9,38}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {24,38}, {9,36}, {6,27}, {21,41}, {17,40}, {7,45}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {17,27}, {19,46}, {8,48}, {11,40}, {9,57}, {17,60}, {21,48}, {4,43}, {24,45}, {9,32}, {16,53}, {3,58}, {21,32}, {23,30}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {23,42}, {15,53}, {21,49}, {3,40}, {22,42}, {12,36}, {21,39}, {15,56}, {1,57}, {15,26}, {23,43}, {21,28}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {21,38}, {24,60}, {12,55}, {11,60}, {8,53}, {12,46}, {4,36}, {5,54}, {2,31} }; // ETB60.296 // Bipartite(28,32) Valencies [24,21] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 672 EdgesBipt[60][295]:={ {26,53}, {7,49}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {24,59}, {25,42}, {7,47}, {28,56}, {26,33}, {17,56}, {4,60}, {20,50}, {7,57}, {3,49}, {4,57}, {5,32}, {22,49}, {18,58}, {5,52}, {8,37}, {8,31}, {6,60}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {3,47}, {6,48}, {11,34}, {27,53}, {22,56}, {28,50}, {10,54}, {2,39}, {7,53}, {1,32}, {28,54}, {13,43}, {19,37}, {17,29}, {23,29}, {23,56}, {9,49}, {10,29}, {15,33}, {24,52}, {19,58}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {28,29}, {5,56}, {1,41}, {23,54}, {3,54}, {14,54}, {21,35}, {25,58}, {2,38}, {20,42}, {23,45}, {23,53}, {4,52}, {19,49}, {19,60}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {19,38}, {4,34}, {26,46}, {7,60}, {13,29}, {13,48}, {18,37}, {25,32}, {10,42}, {14,40}, {28,45}, {9,41}, {17,43}, {17,45}, {14,33}, {24,36}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {26,57}, {5,47}, {5,55}, {16,51}, {17,42}, {28,58}, {21,57}, {23,49}, {18,50}, {12,35}, {12,48}, {11,36}, {28,44}, {19,54}, {1,55}, {19,40}, {24,48}, {15,59}, {10,51}, {15,51}, {28,49}, {27,32}, {28,32}, {18,54}, {25,56}, {25,41}, {7,59}, {17,51}, {9,50}, {14,43}, {9,53}, {28,57}, {1,31}, {2,41}, {2,59}, {17,32}, {21,30}, {21,44}, {20,44}, {5,45}, {27,57}, {21,42}, {4,41}, {20,58}, {13,54}, {7,51}, {8,39}, {22,32}, {7,34}, {9,55}, {27,56}, {2,36}, {11,44}, {26,44}, {18,35}, {20,32}, {18,31}, {14,51}, {3,51}, {5,46}, {15,34}, {12,44}, {24,30}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {6,57}, {12,56}, {22,47}, {16,43}, {6,39}, {24,43}, {2,44}, {2,45}, {19,35}, {26,60}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {28,39}, {11,56}, {20,43}, {4,44}, {5,36}, {20,60}, {7,31}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {28,52}, {3,50}, {21,37}, {25,38}, {27,51}, {26,37}, {2,34}, {15,55}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {2,47}, {23,39}, {5,29}, {27,60}, {24,58}, {27,36}, {25,46}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, 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{25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {24,45}, {9,32}, {16,53}, {3,58}, {25,44}, {18,32}, {17,55}, {21,32}, {26,42}, {23,30}, {20,47}, {14,58}, {28,55}, {16,45}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {27,43}, {22,42}, {27,31}, {22,44}, {13,49}, {21,39}, {3,33}, {1,57}, {20,55}, {18,41}, {23,43}, {23,36}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {13,60}, {25,55}, {27,42}, {24,41}, {12,31}, {16,47}, {15,47}, {20,45}, {21,60}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {22,57}, {12,29}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {25,53}, {17,47}, {8,50}, {21,38}, {24,60}, {25,37}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {6,29}, {2,31} }; // ETB60.297 // Bipartite(28,32) Valencies [24,21] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 40927524885594809318139494400000000 EdgesBipt[60][296]:={ {26,53}, {3,42}, {26,54}, 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{9,57}, {17,60}, {14,45}, {5,44}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {16,53}, {3,58}, {25,44}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {14,58}, {28,55}, {16,45}, {22,58}, {22,35}, {7,50}, {12,43}, {26,29}, {19,34}, {28,36}, {10,45}, {23,42}, {2,54}, {21,49}, {3,40}, {16,59}, {27,43}, {22,42}, {12,36}, {27,31}, {13,49}, {26,51}, {28,53}, {15,56}, {27,35}, {1,57}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {13,60}, {17,30}, {27,42}, {24,41}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {21,60}, {26,55}, {13,45}, {26,45}, {4,37}, {22,57}, {28,33}, {12,29}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {25,53}, {21,38}, {24,60}, {25,37}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.298 // Bipartite(28,32) Valencies [24,21] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4438236667576320 EdgesBipt[60][297]:={ {26,53}, {3,42}, {7,49}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,33}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {28,56}, {26,33}, {27,55}, {4,60}, {20,50}, {7,57}, {4,57}, {14,49}, {5,32}, {22,49}, {18,58}, {8,37}, {8,31}, {6,60}, {22,55}, {12,42}, {2,57}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {27,53}, {3,55}, {28,50}, {15,54}, {10,54}, {2,39}, {7,53}, {15,50}, {1,32}, {8,36}, {28,54}, {13,43}, {17,29}, {18,49}, {9,49}, {10,29}, {24,52}, {19,58}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {2,30}, {5,56}, {1,41}, {23,50}, {23,54}, {4,30}, {10,55}, {14,54}, {21,35}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {19,60}, {6,34}, {4,38}, {1,49}, {21,31}, {7,54}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {7,60}, {13,29}, {13,48}, {26,47}, {25,29}, {15,45}, {25,32}, {20,29}, {14,40}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {8,59}, {8,38}, {25,51}, {19,30}, {22,29}, {8,52}, {1,53}, {26,57}, {5,47}, {28,43}, 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{4,54}, {13,31}, {12,53}, {5,31}, {4,51}, {10,38}, {10,60}, {18,33}, {1,56}, {1,46}, {23,55}, {21,47}, {7,48}, {5,49}, {28,34}, {13,39}, {11,43}, {3,52}, {28,38}, {28,48}, {19,42}, {24,29}, {24,56}, {27,58}, {19,50}, {17,34}, {13,55}, {23,51}, {24,46}, {18,56}, {1,45}, {16,56}, {10,30}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {13,57}, {7,44}, {20,34}, {27,44}, {17,52}, {11,46}, {9,56}, {11,54}, {10,33}, {17,49}, {10,39}, {19,47}, {23,57}, {14,56}, {28,51}, {22,50}, {3,56}, {27,52}, {16,39}, {1,38}, {25,43}, {7,41}, {3,44}, {20,30}, {12,60}, {25,54}, {18,40}, {17,57}, {13,30}, {24,32}, {9,45}, {14,42}, {21,58}, {2,46}, {3,39}, {10,41}, {7,56}, {12,34}, {23,35}, {4,50}, {16,44}, {23,31}, {17,41}, {11,30}, {8,43}, {2,48}, {23,59}, {7,39}, {9,51}, {10,44}, {27,37}, {25,57}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {15,52}, {28,46}, {24,38}, {19,48}, {26,56}, {27,49}, {18,47}, {12,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {27,39}, {25,35}, {13,56}, {19,46}, {11,40}, {9,57}, {17,60}, {14,45}, {5,35}, {3,45}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {16,53}, {3,58}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {20,47}, {22,31}, {14,58}, {28,55}, {16,45}, {22,58}, {22,35}, {5,39}, {26,29}, {19,34}, {28,36}, {13,47}, {10,45}, {23,42}, {15,53}, {2,54}, {3,40}, {16,59}, {20,46}, {22,42}, {12,36}, {27,31}, {13,49}, {26,51}, {21,39}, {15,56}, {28,30}, {1,57}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {22,43}, {4,53}, {12,37}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {20,45}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {25,53}, {17,47}, {8,50}, {21,38}, {24,60}, {25,37}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.299 // Bipartite(30,30) Valencies [24,24] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 8985374982298769817600000000000 EdgesBipt[60][298]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {30,37}, {30,54}, {14,48}, {4,46}, {20,33}, {30,43}, {19,41}, {24,59}, {25,42}, {22,37}, {30,59}, {7,47}, {28,56}, {26,33}, {27,55}, {17,56}, {20,50}, {7,57}, {4,57}, {14,49}, {5,32}, {22,49}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {30,45}, {17,54}, {2,57}, {18,51}, {3,47}, {9,58}, {6,48}, {11,34}, {3,55}, {22,56}, {28,50}, {15,54}, {10,54}, {2,39}, {18,38}, {15,50}, {19,51}, {8,36}, {13,43}, {19,37}, {23,56}, {9,49}, {15,33}, {24,52}, {19,58}, {12,52}, {16,54}, {5,43}, {22,51}, {12,32}, {30,44}, {29,42}, {1,41}, {23,50}, {14,54}, {10,55}, {21,35}, {25,58}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {25,49}, {13,51}, {4,34}, {26,46}, {7,60}, {13,48}, {29,57}, {18,37}, {15,45}, {25,32}, {10,42}, {28,45}, {9,41}, {21,46}, {23,58}, {17,45}, {14,33}, {24,36}, {11,35}, {3,32}, {11,31}, {8,38}, {8,52}, {1,53}, {5,47}, {28,43}, {5,55}, {16,51}, {17,42}, {28,58}, {30,60}, {18,50}, {12,35}, {20,57}, {11,36}, {19,54}, {1,55}, {24,48}, {15,59}, {28,42}, {5,53}, {13,53}, {27,32}, {28,32}, {4,59}, {7,59}, {2,37}, {17,51}, {14,43}, {25,45}, {9,53}, {6,31}, {28,57}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {17,32}, {6,35}, {5,50}, {21,44}, {26,58}, {23,33}, {20,44}, {5,45}, {3,48}, {27,57}, {8,57}, {4,41}, {18,53}, {20,58}, {29,38}, {7,51}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {29,51}, {27,56}, {2,36}, {11,44}, {13,33}, {26,44}, {18,35}, {30,34}, {20,32}, {18,31}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {27,41}, {21,55}, {12,56}, {25,60}, {29,32}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {2,45}, {23,52}, {26,60}, {16,34}, {10,48}, {19,31}, {22,41}, {11,56}, {30,40}, {20,43}, {4,44}, {20,60}, {12,39}, {24,54}, {21,36}, {7,31}, {14,53}, {26,43}, {5,38}, {22,60}, {8,60}, {28,52}, {3,50}, {25,38}, {27,51}, {2,34}, {15,55}, {12,41}, {5,42}, {21,59}, {6,49}, {4,56}, {3,31}, {2,47}, {10,43}, {27,60}, {24,58}, {27,36}, {15,57}, {29,41}, {26,49}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {16,55}, {25,33}, {11,58}, {14,32}, {9,37}, {24,49}, {25,47}, {11,41}, {19,44}, {22,46}, {9,52}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {21,34}, {2,55}, {1,44}, {11,49}, {30,57}, {8,56}, {16,60}, {19,32}, {7,37}, {21,45}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {26,31}, {12,47}, {21,56}, {11,53}, {2,51}, {12,49}, {3,37}, {28,40}, {29,36}, {1,35}, {23,32}, {26,35}, {29,46}, {7,36}, {28,60}, {9,39}, {14,37}, {11,45}, {8,33}, {29,47}, {13,50}, {9,44}, {15,60}, {14,59}, {24,53}, {22,59}, {9,42}, {21,50}, {19,57}, {30,38}, {30,53}, {13,35}, {8,55}, {1,54}, {13,32}, {27,45}, {17,36}, {26,39}, {12,45}, {30,55}, {1,60}, {27,59}, {8,41}, {28,37}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {5,60}, {16,46}, {9,59}, {29,33}, {24,34}, {27,54}, {23,38}, {16,36}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {7,35}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {20,38}, {30,33}, {14,41}, {24,57}, {27,40}, {5,34}, {26,34}, {1,43}, {29,56}, {13,36}, {1,59}, {26,59}, {3,35}, {4,49}, {29,44}, {5,48}, {26,48}, {25,59}, {14,31}, {8,45}, {7,46}, {20,37}, {5,59}, {11,33}, {5,58}, {1,34}, {30,50}, {4,47}, {22,40}, {13,37}, {24,37}, {10,53}, {24,31}, {6,46}, {2,49}, {12,57}, {21,54}, {19,43}, {14,46}, {6,56}, {10,57}, {5,40}, {3,46}, {16,31}, {22,36}, {24,42}, {26,40}, {27,34}, {11,59}, {6,50}, {28,31}, {1,40}, {28,35}, {19,56}, {17,31}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {19,36}, {9,34}, {14,57}, {3,60}, {16,41}, {17,44}, {3,57}, {17,35}, {10,35}, {24,47}, {9,47}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {4,32}, {15,58}, {29,59}, {19,39}, {12,59}, {15,35}, {21,53}, {13,41}, {15,48}, {19,33}, {9,48}, {3,38}, {25,48}, {14,34}, {23,60}, {30,49}, {16,40}, {26,41}, {6,51}, {9,33}, {29,34}, {20,35}, {8,42}, {15,38}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {23,40}, {29,43}, {4,51}, {10,38}, {10,60}, {18,33}, {21,33}, {30,58}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {25,39}, {14,52}, {5,49}, {11,43}, {29,54}, {3,52}, {28,38}, {28,48}, {19,42}, {24,56}, {17,34}, {13,55}, {18,46}, {23,51}, {24,46}, {18,56}, {1,45}, {16,56}, {17,39}, {7,32}, {13,38}, {26,36}, {29,58}, {22,54}, {13,57}, {12,51}, {20,34}, {7,44}, {25,34}, {27,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {30,32}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {23,57}, {14,56}, {28,51}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {16,39}, {30,42}, {1,38}, {5,37}, {25,43}, {29,49}, {7,41}, {14,44}, {12,60}, {25,50}, {20,59}, {25,54}, {1,36}, {18,40}, {17,57}, {20,48}, {24,32}, {14,39}, {14,42}, {21,58}, {13,52}, {18,45}, {29,52}, {19,53}, {2,46}, {7,56}, {13,58}, {12,34}, {11,55}, {23,35}, {29,48}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {8,43}, {28,41}, {16,58}, {7,39}, {9,51}, {9,38}, {10,44}, {27,37}, {25,57}, {1,33}, {2,32}, {6,33}, {29,39}, {22,34}, {15,52}, {16,50}, {28,46}, {24,38}, {19,48}, {9,36}, {26,56}, {10,40}, {29,53}, {27,49}, {18,47}, {29,37}, {12,40}, {21,41}, {17,40}, {30,52}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {27,39}, {25,35}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {9,32}, {16,53}, {3,58}, {30,35}, {25,44}, {18,32}, {17,55}, {20,47}, {22,31}, {14,58}, {28,55}, {16,45}, {30,48}, {22,35}, {7,50}, {5,39}, {19,34}, {28,36}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {16,59}, {22,42}, {12,36}, {27,31}, {22,44}, {26,51}, {28,53}, {21,39}, {3,33}, {27,35}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {16,49}, {4,53}, {12,37}, {10,58}, {29,31}, {13,60}, {25,55}, {27,42}, {24,41}, {12,31}, {15,47}, {20,45}, {21,60}, {26,55}, {13,45}, {30,39}, {26,45}, {4,37}, {22,57}, {28,33}, {10,47}, {28,47}, {2,35}, {20,53}, {10,32}, {30,47}, {25,53}, {17,47}, {8,50}, {21,38}, {25,37}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {2,31} }; // ETB60.300 // Bipartite(30,30) Valencies [24,24] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 1546188226560 EdgesBipt[60][299]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {6,36}, {24,33}, {30,37}, {30,54}, {11,42}, {14,48}, {20,33}, {30,43}, {30,59}, {7,47}, {22,53}, {28,56}, {26,33}, {17,56}, {4,60}, {20,50}, {7,57}, {3,49}, {4,57}, {14,49}, {22,49}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {30,45}, {2,57}, {18,51}, {3,47}, {9,58}, {6,48}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {7,53}, {18,38}, {15,50}, {1,32}, {19,51}, {28,54}, {13,43}, {19,37}, {18,49}, {23,56}, {9,49}, {24,52}, {19,58}, {12,52}, {16,54}, {5,43}, {16,57}, {30,44}, {5,56}, {29,42}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {21,35}, {25,58}, {2,38}, {2,52}, {23,45}, {4,52}, {19,49}, {19,60}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {7,60}, {26,47}, {29,57}, {29,50}, {15,45}, {25,32}, {28,45}, {9,41}, {17,43}, {21,46}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {25,51}, {8,52}, {1,53}, {26,57}, {28,43}, {5,55}, {30,56}, {16,51}, {17,42}, {28,58}, {11,47}, {21,57}, {23,49}, {30,60}, {12,35}, {12,48}, {11,36}, {28,44}, {1,55}, {19,40}, {24,48}, {15,59}, {10,51}, {28,42}, {5,53}, {13,53}, {28,49}, {28,32}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {6,31}, {28,57}, {8,40}, {2,41}, {1,31}, {11,48}, {2,59}, {17,32}, {6,35}, {5,50}, {21,44}, {26,58}, {23,33}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {18,53}, {20,58}, {13,54}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {29,51}, {27,56}, {2,36}, {12,38}, {11,44}, {26,44}, {30,34}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {8,35}, {2,60}, {11,38}, {6,40}, {9,31}, {20,39}, {5,33}, {27,41}, {6,57}, {21,55}, {12,56}, {29,32}, {22,47}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {2,45}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {10,48}, {22,41}, {4,45}, {28,39}, {11,56}, {30,40}, {20,43}, {4,44}, {5,36}, {20,60}, {12,39}, {21,36}, {12,33}, {26,43}, {5,38}, {22,60}, {1,37}, {14,50}, {8,60}, {28,52}, {6,52}, {21,37}, {25,38}, {27,51}, {15,55}, {14,35}, {12,41}, {21,59}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {27,60}, {24,58}, {27,36}, {25,46}, {29,41}, {20,49}, {20,52}, {2,56}, {20,40}, {21,51}, {21,40}, {5,51}, {16,55}, {25,33}, {11,58}, {14,32}, {9,37}, {27,38}, {17,53}, {24,49}, {25,47}, {11,41}, {19,44}, {24,55}, {9,52}, {8,34}, {23,46}, {12,50}, {4,33}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {22,38}, {8,56}, {16,60}, {12,58}, {19,32}, {21,45}, {19,52}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {11,50}, {24,50}, {26,31}, {21,56}, {11,53}, {2,51}, {12,49}, {6,37}, {29,36}, {2,58}, {23,32}, {26,35}, {29,46}, {28,60}, {10,46}, {14,37}, {22,33}, {7,43}, {20,31}, {8,33}, {29,47}, {15,60}, {14,59}, {22,59}, {9,42}, {21,50}, {19,57}, {30,38}, {30,53}, {8,55}, {16,37}, {1,54}, {13,32}, {27,45}, {17,36}, {26,39}, {9,35}, {12,45}, {30,55}, {10,36}, {1,60}, {27,59}, {8,41}, {28,37}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {5,60}, {16,46}, {27,48}, {29,33}, {24,34}, {27,54}, {4,40}, {16,36}, {12,54}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {2,42}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {23,48}, {3,53}, {20,38}, {14,41}, {9,60}, {24,57}, {5,34}, {15,46}, {29,56}, {1,52}, {13,36}, {1,59}, {26,59}, {4,49}, {29,44}, {5,48}, {26,48}, {9,40}, {25,59}, {14,31}, {8,45}, {20,37}, {11,57}, {11,33}, {5,58}, {1,34}, {30,41}, {30,50}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {10,53}, {24,31}, {13,59}, {6,46}, {12,57}, {21,54}, {19,43}, {23,44}, {14,46}, {6,56}, {5,40}, {3,46}, {16,31}, {24,42}, {26,40}, {27,34}, {11,59}, {6,50}, {28,31}, {1,40}, {17,31}, {1,48}, {15,44}, {23,41}, {25,40}, {19,36}, {9,34}, {14,57}, {3,60}, {16,52}, {17,44}, {3,57}, {28,59}, {17,35}, {15,31}, {10,35}, {24,47}, {9,47}, {17,59}, {18,36}, {10,59}, {6,55}, {4,32}, {15,58}, {29,59}, {12,59}, {15,35}, {21,53}, {5,41}, {13,41}, {4,55}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {23,60}, {30,49}, {13,44}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {29,34}, {20,35}, {8,42}, {15,38}, {7,38}, {8,32}, {22,39}, {13,31}, {12,53}, {23,40}, {5,31}, {29,43}, {4,51}, {10,38}, {18,33}, {21,33}, {30,58}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {25,39}, {7,48}, {14,52}, {5,49}, {28,34}, {13,39}, {11,43}, {29,54}, {28,38}, {20,51}, {2,53}, {19,42}, {24,56}, {27,58}, {19,50}, {18,46}, {24,46}, {18,56}, {1,45}, {17,58}, {6,42}, {7,32}, {13,38}, {26,36}, {29,58}, {22,54}, {13,57}, {12,51}, {20,34}, {7,44}, {25,34}, {27,44}, {17,52}, {19,59}, {11,46}, {9,56}, {30,32}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {23,57}, {13,34}, {14,56}, {28,51}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {29,49}, {7,41}, {14,44}, {12,60}, {25,50}, {25,54}, {1,36}, {18,40}, {17,57}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {29,52}, {19,53}, {2,46}, {3,39}, {7,56}, {13,58}, {12,34}, {11,55}, {23,35}, {15,41}, {29,48}, {19,45}, {16,44}, {4,50}, {23,31}, {2,50}, {17,41}, {4,48}, {21,52}, {28,41}, {23,59}, {7,39}, {9,51}, {10,44}, {27,37}, {1,33}, {2,32}, {6,33}, {29,39}, {22,34}, {15,52}, {28,46}, {19,48}, {9,36}, {26,56}, {10,40}, {27,49}, {18,47}, {29,37}, {21,41}, {17,40}, {30,52}, {7,45}, {20,41}, {8,46}, {15,32}, {18,57}, {27,39}, {7,58}, {20,56}, {25,35}, {13,56}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {3,58}, {30,35}, {25,44}, {18,32}, {17,55}, {24,40}, {26,42}, {14,58}, {30,31}, {16,45}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {28,36}, {13,47}, {23,37}, {23,42}, {15,53}, {3,40}, {20,46}, {16,59}, {27,43}, {22,42}, {12,36}, {22,44}, {13,49}, {26,51}, {28,53}, {21,39}, {15,56}, {3,33}, {27,35}, {1,57}, {23,47}, {20,55}, {27,50}, {18,41}, {16,38}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {29,31}, {13,60}, {25,55}, {27,42}, {24,41}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {29,35}, {21,60}, {26,55}, {13,45}, {30,39}, {4,37}, {22,57}, {4,35}, {10,47}, {28,47}, {2,35}, {20,53}, {10,32}, {30,47}, {25,53}, {17,47}, {8,50}, {21,38}, {24,60}, {25,37}, {6,59}, {6,41}, {10,49}, {30,46}, {4,36}, {5,54}, {2,31} }; // ETB60.301 // Bipartite(30,30) Valencies [25,25] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 12839184645488640000000000000 EdgesBipt[60][300]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {30,37}, {30,54}, {14,48}, {4,46}, {20,33}, {30,43}, {24,59}, {25,42}, {22,37}, {30,59}, {22,53}, {28,56}, {26,33}, {27,55}, {17,56}, {4,60}, {20,50}, {7,57}, {3,49}, {5,32}, {22,49}, {5,52}, {14,47}, {6,60}, {22,55}, {12,42}, {30,45}, {2,57}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {27,53}, {3,55}, {22,56}, {28,50}, {15,54}, {10,54}, {2,39}, {18,38}, {1,32}, {19,51}, {8,36}, {28,54}, {13,43}, {19,37}, {18,49}, {23,56}, {9,49}, {15,33}, {19,58}, {16,54}, {5,43}, {12,32}, {30,44}, {5,56}, {23,50}, {3,54}, {14,54}, {10,55}, {21,35}, {25,58}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {19,60}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {7,60}, {13,48}, {26,47}, {29,57}, {18,37}, {29,50}, {15,45}, {25,32}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {25,51}, {8,52}, {26,57}, {5,47}, {28,43}, {5,55}, {30,56}, {28,58}, {11,47}, {21,57}, {23,49}, {30,60}, {18,50}, {12,35}, {12,48}, {20,57}, {28,44}, {19,54}, {1,55}, {19,40}, {24,48}, {15,59}, {28,42}, {15,51}, {30,51}, {5,53}, {28,49}, {28,32}, {18,54}, {25,56}, {4,59}, {17,51}, {25,45}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {2,59}, {17,32}, {6,35}, {5,50}, {26,58}, {23,33}, {20,44}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {4,41}, {18,53}, {20,58}, {13,54}, {29,38}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {9,55}, {15,43}, {29,51}, {2,36}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {20,32}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {27,41}, {6,57}, {21,55}, {12,56}, {25,60}, {29,32}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {2,45}, {23,52}, {26,60}, {1,42}, {16,34}, {10,48}, {19,31}, {22,41}, {11,56}, {4,44}, {20,60}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {22,60}, {1,37}, {14,50}, {8,60}, {28,52}, {21,37}, {25,38}, {27,51}, {2,34}, {15,55}, {14,35}, {12,41}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {27,60}, {27,36}, {25,46}, {15,57}, {29,41}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {25,33}, {11,58}, {14,32}, {9,37}, {17,53}, {26,52}, {24,49}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {8,34}, {23,46}, {12,50}, {15,40}, {21,34}, {1,44}, {10,31}, {22,38}, {11,49}, {30,57}, {8,56}, {16,60}, {19,32}, {7,37}, {21,45}, {19,52}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {24,50}, {12,47}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {28,40}, {2,58}, {23,32}, {26,35}, {29,46}, {7,36}, {28,60}, {9,39}, {10,46}, {7,43}, {11,45}, {8,33}, {29,47}, {13,50}, {15,60}, {14,59}, {24,53}, {22,59}, {9,42}, {19,57}, {30,38}, {30,53}, {16,37}, {1,54}, {13,32}, {27,45}, {26,39}, {18,44}, {9,35}, {12,45}, {30,36}, {30,55}, {15,36}, {10,36}, {1,60}, {27,59}, {8,41}, {28,37}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {29,45}, {16,46}, {9,59}, {27,48}, {29,33}, {27,54}, {4,40}, {23,38}, {16,36}, {12,54}, {29,40}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {4,42}, {27,47}, {21,43}, {3,53}, {20,38}, {30,33}, {14,41}, {9,60}, {24,57}, {27,40}, {5,34}, {26,34}, {1,43}, {15,46}, {29,56}, {1,52}, {13,36}, {26,59}, {3,35}, {4,49}, {29,44}, {26,48}, {9,40}, {7,46}, {8,45}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {30,41}, {30,50}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {10,53}, {24,31}, {12,57}, {21,54}, {19,43}, {23,44}, {14,46}, {6,56}, {5,40}, {3,46}, {16,31}, {22,36}, {24,42}, {26,40}, {27,34}, {11,59}, {6,50}, {28,31}, {1,40}, {28,35}, {17,31}, {19,56}, {1,48}, {23,41}, {8,51}, {25,40}, {19,36}, {9,34}, {14,57}, {3,60}, {16,41}, {16,52}, {17,44}, {3,57}, {28,59}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {4,32}, {15,58}, {29,59}, {19,39}, {12,59}, {15,35}, {21,53}, {5,41}, {15,48}, {4,55}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {25,48}, {14,34}, {30,49}, {13,44}, {19,55}, {16,40}, {26,41}, {6,51}, {3,59}, {9,33}, {29,34}, {8,42}, {20,35}, {8,32}, {7,38}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {29,43}, {10,38}, {10,60}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {5,49}, {28,34}, {13,39}, {11,43}, {3,52}, {28,38}, {2,53}, {20,51}, {28,48}, {19,42}, {24,56}, {27,58}, {19,50}, {17,34}, {13,55}, {23,51}, {18,56}, {1,45}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {29,58}, {22,54}, {13,57}, {12,51}, {7,44}, {20,34}, {25,34}, {17,52}, {11,46}, {4,31}, {30,32}, {3,41}, {15,39}, {17,49}, {23,57}, {13,34}, {14,56}, {22,50}, {26,38}, {27,52}, {15,49}, {30,42}, {1,38}, {5,37}, {25,43}, {29,49}, {14,44}, {12,60}, {25,50}, {20,59}, {25,54}, {1,36}, {17,57}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {29,52}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {11,55}, {23,35}, {15,41}, {19,45}, {16,44}, {4,50}, {23,31}, {2,50}, {17,41}, {4,48}, {21,52}, {28,41}, {2,48}, {23,59}, {16,58}, {7,39}, {10,56}, {14,60}, {9,51}, {10,44}, {27,37}, {25,57}, {1,33}, {2,32}, {6,33}, {29,39}, {22,34}, {15,52}, {16,50}, {28,46}, {24,38}, {19,48}, {9,36}, {26,56}, {10,40}, {29,53}, {27,49}, {18,47}, {29,37}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {14,38}, {18,57}, {27,39}, {7,58}, {20,56}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {29,55}, {24,45}, {16,32}, {16,53}, {3,58}, {30,35}, {25,44}, {18,32}, {17,55}, {26,42}, {20,47}, {22,31}, {14,58}, {28,55}, {30,31}, {22,58}, {30,48}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {28,36}, {23,37}, {15,53}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {28,53}, {21,39}, {3,33}, {27,35}, {1,57}, {23,47}, {18,41}, {23,43}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {29,31}, {13,60}, {25,55}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {29,35}, {21,60}, {13,45}, {30,39}, {26,45}, {4,37}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {10,32}, {30,47}, {17,47}, {8,50}, {24,60}, {25,37}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {4,36}, {1,58} }; // ETB60.302 // Bipartite(8,52) Valencies [26,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 192455902515804671864889250991308800000000 EdgesBipt[60][301]:={ {3,60}, {5,17}, {1,20}, {2,33}, {4,27}, {2,46}, {7,15}, {4,26}, {3,40}, {1,56}, {4,50}, {4,30}, {8,30}, {6,17}, {7,48}, {1,13}, {8,43}, {7,55}, {8,42}, {8,54}, {1,57}, {1,32}, {3,43}, {3,15}, {7,44}, {1,40}, {5,56}, {4,19}, {4,31}, {3,35}, {5,20}, {2,26}, {8,39}, {1,21}, {7,51}, {2,9}, {7,36}, {3,52}, {8,10}, {2,41}, {2,14}, {5,32}, {8,15}, {4,23}, {8,27}, {8,31}, {2,54}, {2,42}, {6,22}, {6,29}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {7,12}, {4,10}, {2,34}, {1,17}, {7,56}, {4,22}, {8,19}, {6,58}, {7,11}, {7,20}, {1,44}, {5,29}, {2,10}, {2,38}, {8,47}, {2,37}, {8,14}, {4,42}, {7,39}, {5,25}, {7,32}, {3,56}, {3,12}, {2,53}, {7,43}, {3,44}, {6,30}, {4,47}, {3,20}, {6,49}, {3,51}, {2,13}, {2,57}, {6,18}, {4,59}, {1,29}, {3,39}, {3,32}, {4,35}, {7,16}, {6,33}, {1,12}, {6,50}, {6,46}, {8,11}, {5,24}, {1,60}, {5,49}, {1,45}, {8,22}, {1,9}, {5,48}, {8,35}, {4,55}, {4,15}, {1,28}, {3,11}, {3,27}, {4,54}, {4,43}, {1,33}, {4,46}, {5,28}, {8,26}, {1,52}, {7,31}, {5,41}, {2,17}, {7,47}, {5,12}, {3,19}, {7,59}, {1,24}, {8,58}, {1,49}, {5,44}, {6,26}, {3,23}, {8,23}, {5,36}, {1,25}, {4,58}, {6,9}, {6,54}, {1,53}, {6,41}, {7,60}, {6,14}, {1,37}, {7,28}, {3,16}, {5,60}, {6,42}, {7,23}, {2,21}, {5,33}, {8,34}, {4,51}, {3,24}, {2,29}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {8,50}, {6,25}, {6,38}, {6,34}, {6,10}, {3,55}, {8,55}, {2,58}, {8,18}, {4,18}, {5,9}, {4,11}, {5,13}, {3,28}, {7,27}, {8,46}, {1,41}, {5,45}, {1,48}, {3,31}, {7,24}, {8,51}, {6,37}, {3,47}, {7,35}, {5,21}, {2,30}, {3,59}, {6,53}, {6,13}, {2,18}, {7,52}, {5,37}, {7,19}, {3,36}, {4,39}, {7,40}, {8,59}, {5,52}, {5,57}, {6,57}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB60.303 // Bipartite(21,39) Valencies [26,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 185474329129086233156503845470208000000000 EdgesBipt[60][302]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {3,49}, {5,32}, {18,58}, {14,47}, {6,60}, {12,42}, {17,54}, {2,57}, {18,51}, {9,58}, {6,48}, {3,55}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {2,30}, {5,56}, {3,25}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {20,42}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {21,46}, {17,45}, {14,33}, {11,35}, {3,27}, {8,59}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {21,57}, {10,25}, {12,48}, {20,57}, {11,36}, {1,55}, {19,40}, {16,26}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {4,59}, {7,59}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {16,23}, {21,30}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {9,22}, {4,41}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {11,44}, {15,24}, {10,23}, {20,32}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {1,22}, {6,57}, {21,55}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {14,23}, {11,56}, {9,25}, {4,44}, {5,36}, {20,60}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {21,37}, {1,29}, {15,55}, {21,22}, {15,27}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {8,56}, {13,23}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {20,23}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {15,60}, {14,59}, {9,42}, {13,35}, {16,37}, {13,32}, {17,36}, {17,23}, {3,28}, {12,24}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {5,60}, {16,46}, {15,30}, {4,40}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {21,27}, {10,37}, {2,42}, {18,60}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {21,43}, {20,38}, {14,41}, {4,29}, {9,60}, {1,43}, {15,46}, {1,52}, {1,59}, {16,22}, {4,49}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {5,59}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {13,59}, {6,46}, {15,22}, {12,57}, {21,54}, {19,43}, {9,30}, {3,46}, {16,31}, {18,30}, {11,59}, {4,22}, {1,40}, {10,26}, {1,23}, {8,29}, {19,56}, {7,22}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {4,32}, {15,58}, {2,27}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {17,24}, {7,52}, {13,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {6,25}, {3,52}, {2,53}, {20,51}, {19,50}, {13,55}, {18,46}, {16,56}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {19,59}, {4,31}, {11,54}, {15,39}, {19,47}, {13,34}, {14,56}, {20,24}, {18,24}, {21,24}, {15,49}, {1,38}, {7,41}, {8,23}, {2,29}, {20,30}, {14,44}, {12,60}, {20,59}, {18,40}, {17,57}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {21,52}, {2,48}, {16,58}, {2,23}, {10,56}, {14,60}, {9,51}, {10,44}, {12,30}, {2,32}, {6,33}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {20,41}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {13,56}, {17,27}, {8,48}, {19,46}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {16,32}, {16,53}, {3,58}, {20,47}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {2,54}, {21,49}, {3,40}, {16,59}, {12,36}, {13,49}, {21,39}, {3,33}, {19,25}, {21,28}, {16,38}, {5,57}, {16,49}, {4,53}, {12,37}, {10,58}, {17,30}, {5,24}, {12,31}, {16,47}, {20,36}, {20,45}, {21,60}, {4,37}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {8,50}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB60.304 // Bipartite(24,36) Valencies [27,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 111839021563676611385386598400000000 EdgesBipt[60][303]:={ {13,25}, {3,42}, {15,28}, {13,40}, {24,33}, {11,42}, {16,28}, {20,33}, {20,25}, {24,59}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {4,60}, {8,28}, {4,57}, {14,49}, {5,32}, {22,49}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {22,55}, {17,54}, {2,57}, {18,51}, {3,47}, {9,58}, {11,52}, {11,34}, {3,55}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {17,29}, {18,49}, {23,56}, {9,49}, {10,29}, {24,52}, {19,58}, {12,52}, {16,57}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {2,38}, {4,52}, {12,27}, {19,60}, {6,34}, {1,49}, {11,39}, {24,39}, {7,54}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {7,60}, {13,29}, {13,48}, {18,37}, {20,29}, {10,42}, {9,41}, {21,46}, {23,58}, {17,45}, {23,34}, {14,33}, {17,25}, {24,36}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {18,29}, {19,30}, {22,29}, {8,52}, {14,27}, {1,53}, {16,51}, {17,42}, {11,47}, {21,57}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {19,54}, {19,40}, {24,48}, {15,59}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {6,35}, {5,50}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {22,45}, {15,43}, {18,27}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {15,34}, {12,44}, {8,35}, {18,59}, {11,38}, {1,50}, {24,44}, {20,39}, {5,33}, {4,39}, {6,57}, {12,56}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {17,48}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {19,31}, {22,41}, {18,26}, {4,45}, {11,56}, {22,26}, {20,43}, {9,25}, {4,44}, {5,36}, {20,60}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {9,28}, {20,49}, {20,52}, {20,40}, {16,35}, {21,40}, {5,28}, {16,55}, {11,58}, {9,37}, {17,53}, {17,26}, {24,49}, {19,44}, {22,46}, {24,55}, {9,52}, {9,29}, {23,46}, {4,33}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {8,56}, {16,60}, {19,32}, {21,45}, {1,28}, {19,52}, {3,43}, {16,48}, {3,36}, {17,46}, {7,42}, {24,25}, {9,54}, {11,50}, {6,43}, {23,26}, {12,47}, {21,56}, {12,49}, {2,51}, {6,37}, {12,28}, {17,28}, {2,58}, {23,32}, {7,36}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {8,33}, {20,31}, {13,50}, {9,44}, {15,60}, {14,59}, {24,53}, {22,59}, {9,42}, {21,50}, {8,55}, {16,37}, {1,54}, {13,32}, {2,25}, {17,36}, {21,29}, {23,28}, {3,28}, {12,45}, {15,36}, {16,29}, {1,60}, {8,41}, {15,42}, {13,46}, {17,50}, {11,51}, {6,53}, {5,60}, {15,30}, {4,40}, {23,38}, {16,36}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {2,42}, {9,46}, {24,51}, {7,55}, {7,35}, {23,48}, {14,41}, {4,29}, {9,60}, {24,57}, {8,25}, {5,34}, {1,30}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {5,58}, {1,34}, {4,47}, {24,35}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {6,46}, {2,49}, {12,57}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {22,30}, {18,30}, {11,59}, {6,50}, {1,40}, {10,26}, {8,29}, {19,56}, {1,48}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {3,60}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {15,31}, {10,35}, {24,47}, {4,27}, {10,59}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {23,60}, {13,44}, {19,55}, {16,40}, {6,51}, {3,59}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {7,52}, {12,53}, {23,40}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {24,28}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {18,46}, {23,51}, {1,45}, {16,56}, {10,30}, {17,58}, {6,42}, {7,32}, {13,38}, {11,26}, {22,54}, {13,57}, {12,51}, {7,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {22,50}, {3,56}, {16,39}, {1,38}, {5,37}, {3,44}, {2,29}, {12,60}, {19,27}, {20,59}, {1,36}, {17,57}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {6,26}, {11,55}, {23,35}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {23,59}, {7,39}, {9,38}, {1,33}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {9,36}, {19,48}, {18,47}, {6,27}, {12,40}, {21,41}, {17,40}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {21,48}, {4,43}, {24,45}, {16,32}, {9,32}, {16,53}, {3,58}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {14,58}, {16,45}, {22,58}, {22,35}, {7,50}, {12,43}, {19,34}, {10,45}, {23,42}, {2,54}, {21,49}, {3,40}, {16,59}, {23,27}, {22,42}, {12,36}, {13,49}, {15,56}, {1,57}, {23,47}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {13,60}, {17,30}, {24,41}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {21,60}, {13,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {21,38}, {24,60}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.305 // Bipartite(30,30) Valencies [27,27] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 26534935494601054617600 EdgesBipt[60][304]:={ {3,42}, {7,49}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {30,37}, {30,54}, {11,42}, {14,48}, {4,46}, {20,33}, {30,43}, {19,41}, {25,42}, {22,37}, {30,59}, {7,47}, {22,53}, {28,56}, {27,55}, {4,60}, {20,50}, {7,57}, {3,49}, {4,57}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {30,45}, {17,54}, {2,57}, {18,51}, {9,58}, {6,48}, {11,52}, {27,53}, {3,55}, {22,56}, {28,50}, {15,54}, {10,54}, {2,39}, {7,53}, {1,32}, {19,51}, {8,36}, {28,54}, {13,43}, {19,37}, {18,49}, {23,56}, {9,49}, {15,33}, {24,52}, {19,58}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {30,44}, {5,56}, {29,42}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {21,35}, {25,58}, {2,38}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {19,60}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,54}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {7,60}, {13,48}, {26,47}, {29,57}, {18,37}, {29,50}, {15,45}, {25,32}, {14,40}, {28,45}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {11,37}, {25,51}, {8,52}, {1,53}, {26,57}, {5,47}, {28,43}, {5,55}, {30,56}, {16,51}, {17,42}, {11,47}, {21,57}, {23,49}, {30,60}, {18,50}, {12,35}, {12,48}, {20,57}, {11,36}, {28,44}, {19,54}, {1,55}, {19,40}, {24,48}, {15,59}, {10,51}, {28,42}, {15,51}, {30,51}, {5,53}, {13,53}, {28,49}, {27,32}, {28,32}, {18,54}, {25,56}, {25,41}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {25,45}, {9,53}, {6,31}, {28,57}, {8,40}, {1,31}, {6,58}, {11,48}, {2,59}, {17,32}, {6,35}, {26,58}, {23,33}, {20,44}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {4,41}, {18,53}, {20,58}, {13,54}, {29,38}, {7,51}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {15,43}, {29,51}, {2,36}, {12,38}, {13,33}, {26,44}, {18,35}, {30,34}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {8,35}, {2,60}, {18,59}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {27,41}, {6,57}, {21,55}, {12,56}, {29,32}, {22,47}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {23,52}, {26,60}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {4,45}, {28,39}, {11,56}, {30,40}, {20,43}, {4,44}, {5,36}, {20,60}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {22,60}, {1,37}, {14,50}, {8,60}, {28,52}, {6,52}, {3,50}, {21,37}, {25,38}, {27,51}, {26,37}, {2,34}, {15,55}, {14,35}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {27,60}, {24,58}, {25,46}, {15,57}, {29,41}, {26,49}, {20,49}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,51}, {29,60}, {16,55}, {25,33}, {11,58}, {14,32}, {9,37}, {27,38}, {17,53}, {26,52}, {25,47}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {8,34}, {23,46}, {12,50}, {4,33}, {18,52}, {18,34}, {2,55}, {10,31}, {22,38}, {11,49}, {30,57}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {27,33}, {3,43}, {16,48}, {3,36}, {14,36}, {7,42}, {4,58}, {9,54}, {11,50}, {24,50}, {26,31}, {12,47}, {21,56}, {11,53}, {12,49}, {6,37}, {28,40}, {29,36}, {1,35}, {2,58}, {23,32}, {26,35}, {29,46}, {28,60}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {8,33}, {20,31}, {29,47}, {13,50}, {9,44}, {24,53}, {22,59}, {9,42}, {21,50}, {19,57}, {30,38}, {30,53}, {13,35}, {8,55}, {16,37}, {13,32}, {27,45}, {26,39}, {18,44}, {12,45}, {30,36}, {30,55}, {15,36}, {10,36}, {1,60}, {27,59}, {8,41}, {28,37}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {25,52}, {16,46}, {9,59}, {27,48}, {29,33}, {24,34}, {27,54}, {4,40}, {23,38}, {16,36}, {12,54}, {29,40}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {18,60}, {9,46}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {20,38}, {30,33}, {14,41}, {9,60}, {24,57}, {27,40}, {5,34}, {26,34}, {1,43}, {15,46}, {29,56}, {1,52}, {13,36}, {1,59}, {26,59}, {3,35}, {29,44}, {5,48}, {26,48}, {9,40}, {25,59}, {14,31}, {8,45}, {6,47}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {30,41}, {30,50}, {4,47}, {22,40}, {24,35}, {24,37}, {10,53}, {24,31}, {13,59}, {6,46}, {2,49}, {12,57}, {19,43}, {23,44}, {14,46}, {6,56}, {10,57}, {3,46}, {16,31}, {22,36}, {24,42}, {26,40}, {27,34}, {11,59}, {6,50}, {28,31}, {1,40}, {28,35}, {17,31}, {19,56}, {1,48}, {15,44}, {23,41}, {8,51}, {9,34}, {19,36}, {14,57}, {3,60}, {16,41}, {16,52}, {17,44}, {28,59}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {17,59}, {18,36}, {10,59}, {6,55}, {4,32}, {15,58}, {29,59}, {12,59}, {19,39}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {25,48}, {14,34}, {23,60}, {30,49}, {13,44}, {16,40}, {26,41}, {1,47}, {6,51}, {3,59}, {9,33}, {29,34}, {8,42}, {20,35}, {15,38}, {7,38}, {8,32}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {29,43}, {4,51}, {10,38}, {10,60}, {18,33}, {21,33}, {30,58}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {5,49}, {28,34}, {13,39}, {11,43}, {29,54}, {3,52}, {2,53}, {20,51}, {19,42}, {24,56}, {27,58}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {24,46}, {18,56}, {1,45}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {29,58}, {22,54}, {7,44}, {20,34}, {25,34}, {27,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {28,51}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {29,49}, {7,41}, {3,44}, {14,44}, {12,60}, {20,59}, {25,54}, {1,36}, {18,40}, {17,57}, {20,48}, {24,32}, {14,42}, {21,58}, {13,52}, {18,45}, {29,52}, {19,53}, {2,46}, {3,39}, {10,41}, {13,58}, {12,34}, {11,55}, {23,35}, {15,41}, {29,48}, {4,50}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {21,52}, {8,43}, {28,41}, {2,48}, {23,59}, {16,58}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {27,37}, {25,57}, {1,33}, {2,32}, {14,55}, {29,39}, {22,34}, {15,52}, {16,50}, {28,46}, {24,38}, {9,36}, {19,48}, {26,56}, {10,40}, {29,53}, {27,49}, {18,47}, {29,37}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {27,39}, {7,58}, {20,56}, {25,35}, {13,56}, {6,38}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {3,58}, {30,35}, {25,44}, {18,32}, {17,55}, {21,32}, {24,40}, {26,42}, {20,47}, {14,58}, {28,55}, {30,31}, {16,45}, {22,58}, {30,48}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {28,36}, {10,45}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {28,53}, {21,39}, {15,56}, {3,33}, {27,35}, {1,57}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {29,31}, {13,60}, {25,55}, {27,42}, {24,41}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {21,60}, {26,55}, {13,45}, {30,39}, {26,45}, {4,37}, {22,57}, {28,33}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {30,47}, {25,53}, {17,47}, {8,50}, {21,38}, {24,60}, {25,37}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {30,46}, {12,46}, {4,36}, {1,58}, {5,54} }; // ETB60.306 // Bipartite(4,56) Valencies [28,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 462086621940447017147599091630132428800000000 EdgesBipt[60][305]:={ {4,35}, {3,15}, {2,38}, {4,42}, {3,56}, {4,58}, {4,14}, {2,22}, {4,55}, {3,7}, {4,27}, {1,40}, {1,25}, {4,59}, {2,37}, {3,32}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {1,32}, {4,6}, {1,52}, {3,31}, {2,18}, {4,26}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {2,14}, {3,11}, {2,10}, {2,41}, {4,7}, {4,46}, {1,36}, {4,39}, {1,17}, {2,50}, {3,40}, {1,16}, {2,17}, {2,13}, {1,12}, {4,43}, {3,23}, {4,31}, {2,42}, {3,27}, {2,34}, {4,30}, {2,57}, {3,47}, {2,9}, {4,15}, {2,53}, {1,53}, {2,58}, {4,38}, {4,11}, {3,52}, {4,51}, {3,35}, {1,60}, {2,21}, {2,54}, {2,46}, {4,22}, {1,49}, {3,28}, {3,59}, {3,24}, {3,12}, {2,49}, {2,6}, {1,41}, {3,44}, {3,60}, {3,39}, {1,37}, {1,20}, {4,54}, {3,16}, {1,13}, {4,18}, {2,26}, {3,8}, {3,20}, {4,50}, {1,33}, {2,25}, {1,28}, {3,36}, {3,43}, {4,34}, {4,47}, {1,45}, {1,57}, {1,8}, {4,23}, {2,30}, {1,21}, {1,48}, {4,19}, {4,10}, {2,5}, {1,24}, {2,45} }; // ETB60.307 // Bipartite(18,42) Valencies [28,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1483794633032689865252030763761664000000000 EdgesBipt[60][306]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {3,49}, {5,32}, {18,58}, {14,47}, {6,60}, {12,42}, {2,57}, {17,54}, {18,51}, {9,58}, {6,48}, {3,55}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {2,30}, {5,56}, {3,25}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,29}, {10,22}, {18,37}, {15,45}, {12,22}, {17,45}, {14,33}, {11,35}, {3,27}, {8,59}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {17,42}, {11,47}, {10,25}, {12,48}, {11,36}, {11,21}, {1,55}, {16,26}, {3,22}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {11,44}, {15,24}, {10,23}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {1,22}, {6,57}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {16,34}, {8,21}, {14,23}, {11,56}, {18,21}, {9,25}, {4,44}, {5,36}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {1,29}, {15,55}, {10,19}, {12,19}, {15,27}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {15,57}, {9,28}, {2,56}, {16,35}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {13,19}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {13,50}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {17,36}, {17,23}, {3,28}, {12,24}, {18,19}, {12,45}, {15,36}, {16,29}, {8,41}, {15,42}, {13,46}, {9,43}, {17,50}, {11,51}, {5,60}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {10,37}, {2,42}, {18,60}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {14,41}, {4,29}, {9,60}, {1,43}, {15,46}, {1,52}, {1,59}, {16,22}, {4,49}, {14,26}, {5,48}, {9,40}, {7,46}, {8,45}, {14,20}, {5,59}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {13,59}, {6,46}, {15,22}, {12,57}, {9,30}, {3,46}, {16,31}, {18,30}, {11,59}, {4,22}, {1,40}, {10,26}, {17,20}, {1,23}, {8,29}, {7,22}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {4,32}, {15,58}, {2,27}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {13,20}, {9,48}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {17,24}, {7,52}, {13,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {6,25}, {3,52}, {2,53}, {13,55}, {18,46}, {16,56}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {4,31}, {11,54}, {15,39}, {13,34}, {14,56}, {18,24}, {15,49}, {1,38}, {7,41}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {18,40}, {17,57}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {4,20}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {2,48}, {16,58}, {2,23}, {15,21}, {10,56}, {14,60}, {9,51}, {10,44}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {14,38}, {18,57}, {6,30}, {7,58}, {13,56}, {17,27}, {8,48}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {16,53}, {3,58}, {7,50}, {12,43}, {5,39}, {6,21}, {13,47}, {7,20}, {2,54}, {3,40}, {16,59}, {16,19}, {12,36}, {13,49}, {3,33}, {17,21}, {16,38}, {5,57}, {16,49}, {4,53}, {12,37}, {10,58}, {17,30}, {5,24}, {12,31}, {16,47}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {8,50}, {17,47}, {4,19}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB60.308 // Bipartite(18,42) Valencies [28,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 604206893742837202944000000 EdgesBipt[60][307]:={ {13,25}, {3,42}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {17,56}, {7,57}, {3,49}, {4,57}, {5,32}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {7,53}, {7,28}, {2,24}, {18,38}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {16,54}, {16,57}, {12,32}, {2,30}, {5,56}, {3,25}, {1,41}, {3,54}, {10,55}, {8,24}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {7,54}, {16,33}, {8,44}, {13,51}, {4,34}, {17,19}, {7,60}, {10,22}, {15,45}, {14,40}, {9,41}, {17,43}, {17,45}, {14,33}, {17,25}, {11,35}, {3,32}, {11,31}, {11,37}, {8,38}, {18,29}, {11,29}, {14,27}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {1,55}, {15,51}, {5,53}, {6,19}, {5,23}, {18,54}, {7,59}, {2,37}, {17,51}, {9,50}, {7,30}, {9,53}, {5,26}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {18,53}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {13,33}, {15,24}, {10,23}, {18,35}, {1,26}, {9,27}, {1,25}, {14,51}, {5,46}, {18,42}, {16,42}, {12,44}, {15,34}, {16,30}, {2,60}, {18,59}, {5,27}, {6,40}, {1,50}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {6,39}, {10,50}, {17,48}, {16,34}, {8,49}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {18,21}, {2,28}, {5,22}, {3,23}, {4,44}, {9,26}, {18,20}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {15,27}, {14,35}, {12,41}, {6,49}, {4,56}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {11,19}, {16,35}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {14,32}, {10,20}, {17,26}, {11,41}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {16,60}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {7,42}, {4,58}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {12,49}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {13,26}, {10,46}, {11,24}, {8,33}, {10,28}, {13,50}, {9,44}, {15,60}, {14,59}, {9,42}, {8,55}, {13,32}, {2,25}, {17,36}, {18,44}, {9,35}, {12,24}, {14,28}, {15,36}, {12,20}, {16,29}, {15,42}, {13,46}, {2,40}, {17,50}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {16,36}, {12,54}, {6,45}, {7,40}, {17,37}, {10,37}, {2,42}, {18,60}, {10,52}, {15,37}, {7,35}, {3,53}, {14,41}, {9,60}, {8,25}, {5,34}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {7,46}, {8,45}, {14,20}, {5,59}, {5,58}, {1,34}, {13,37}, {8,27}, {10,53}, {6,46}, {2,49}, {15,22}, {16,27}, {14,46}, {9,30}, {5,40}, {18,30}, {11,59}, {4,22}, {1,40}, {10,26}, {17,20}, {1,23}, {17,31}, {7,22}, {8,51}, {14,57}, {15,25}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {17,44}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {10,59}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {1,19}, {5,41}, {15,48}, {4,55}, {8,54}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {17,24}, {7,52}, {12,23}, {12,53}, {13,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {2,53}, {13,55}, {12,26}, {18,56}, {17,39}, {6,42}, {13,38}, {13,57}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {17,49}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {7,41}, {3,44}, {2,29}, {14,21}, {14,44}, {12,60}, {17,57}, {9,24}, {14,39}, {9,45}, {13,52}, {18,45}, {2,46}, {10,41}, {13,58}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {11,30}, {8,43}, {2,48}, {16,58}, {2,23}, {7,39}, {15,21}, {10,56}, {9,51}, {9,38}, {10,44}, {12,30}, {6,33}, {15,52}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {7,45}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {8,48}, {11,40}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {4,43}, {11,22}, {9,32}, {16,53}, {18,32}, {17,55}, {14,58}, {16,45}, {5,39}, {12,43}, {6,21}, {2,54}, {16,59}, {12,36}, {13,49}, {17,21}, {18,41}, {5,57}, {12,37}, {10,58}, {17,30}, {2,19}, {7,33}, {12,31}, {16,47}, {13,45}, {4,37}, {12,29}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {4,19}, {12,55}, {11,60}, {10,49}, {1,58}, {2,31} }; // ETB60.309 // Bipartite(25,35) Valencies [28,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9710467935152740761600000000000 EdgesBipt[60][308]:={ {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {24,59}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {4,60}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {22,49}, {18,58}, {5,52}, {14,47}, {8,31}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {6,48}, {11,52}, {11,34}, {3,55}, {2,39}, {7,28}, {7,53}, {18,38}, {15,50}, {1,32}, {20,27}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {15,33}, {24,52}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {5,56}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {25,58}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {19,60}, {6,34}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {7,60}, {13,29}, {22,28}, {13,48}, {15,45}, {25,32}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {23,34}, {24,36}, {11,31}, {8,59}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {20,57}, {11,36}, {19,54}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {25,56}, {4,59}, {25,41}, {7,59}, {2,37}, {9,50}, {25,45}, {7,30}, {5,26}, {6,31}, {8,40}, {1,31}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {21,44}, {23,33}, {5,45}, {3,48}, {25,26}, {21,42}, {4,41}, {18,53}, {20,58}, {13,54}, {8,39}, {22,32}, {7,34}, {22,45}, {9,55}, {15,43}, {12,38}, {11,44}, {13,33}, {18,35}, {22,27}, {20,32}, {1,26}, {9,27}, {18,31}, {14,51}, {3,51}, {5,46}, {18,55}, {16,42}, {12,44}, {24,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {24,44}, {9,31}, {5,33}, {4,39}, {6,57}, {25,27}, {25,60}, {22,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {18,26}, {4,45}, {11,56}, {2,28}, {1,27}, {20,43}, {4,44}, {5,36}, {20,60}, {9,26}, {12,39}, {24,54}, {21,36}, {12,33}, {5,38}, {22,60}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {21,37}, {25,38}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {25,46}, {15,57}, {20,52}, {20,40}, {21,51}, {5,28}, {5,51}, {25,33}, {11,58}, {8,30}, {14,32}, {9,37}, {17,53}, {24,49}, {25,47}, {11,41}, {19,44}, {24,55}, {9,52}, {8,34}, {9,29}, {23,46}, {12,50}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {12,58}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {9,54}, {6,43}, {24,50}, {23,26}, {12,47}, {21,56}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {17,28}, {2,58}, {9,39}, {13,26}, {14,37}, {10,46}, {22,33}, {7,43}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,60}, {14,59}, {22,59}, {9,42}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {17,50}, {11,51}, {6,53}, {25,52}, {5,60}, {16,46}, {9,59}, {15,30}, {24,34}, {4,40}, {23,38}, {16,36}, {12,54}, {1,39}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {6,44}, {25,36}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {4,42}, {21,43}, {23,48}, {3,53}, {20,38}, {14,41}, {4,29}, {9,60}, {24,57}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {25,30}, {14,31}, {8,45}, {6,47}, {20,37}, {11,57}, {11,33}, {5,58}, {1,34}, {4,47}, {22,40}, {24,35}, {24,37}, {10,53}, {5,30}, {24,31}, {13,59}, {6,46}, {2,49}, {12,57}, {21,54}, {16,27}, {23,44}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {22,30}, {24,42}, {18,30}, {11,59}, {10,26}, {8,29}, {19,56}, {1,48}, {23,41}, {8,51}, {25,40}, {9,34}, {19,36}, {14,57}, {3,60}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {4,27}, {17,59}, {18,36}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {3,38}, {2,43}, {25,48}, {14,34}, {23,60}, {13,44}, {19,55}, {1,47}, {6,51}, {3,59}, {20,35}, {15,38}, {7,38}, {14,30}, {22,39}, {7,52}, {4,54}, {13,31}, {12,53}, {23,40}, {5,31}, {4,51}, {10,38}, {10,60}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {21,47}, {7,48}, {14,52}, {11,28}, {13,39}, {11,43}, {2,53}, {20,51}, {19,42}, {24,29}, {24,56}, {19,50}, {17,34}, {13,55}, {18,46}, {23,51}, {24,46}, {18,56}, {16,56}, {10,30}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {24,26}, {22,54}, {7,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {10,33}, {17,49}, {19,47}, {13,34}, {14,56}, {22,50}, {3,56}, {16,39}, {1,38}, {5,37}, {25,43}, {3,44}, {2,29}, {20,30}, {14,44}, {12,60}, {19,27}, {25,50}, {1,36}, {18,40}, {17,57}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {21,58}, {18,45}, {3,39}, {10,41}, {13,58}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {23,31}, {2,50}, {21,52}, {8,43}, {2,48}, {23,59}, {16,58}, {7,39}, {10,56}, {14,60}, {9,51}, {25,57}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {22,34}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {7,58}, {20,56}, {25,35}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {9,57}, {17,60}, {25,31}, {14,45}, {5,35}, {3,45}, {21,48}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,58}, {22,35}, {7,50}, {12,43}, {19,34}, {10,45}, {15,53}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {22,42}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {15,26}, {20,55}, {18,41}, {23,43}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {25,55}, {24,41}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {25,53}, {17,47}, {8,50}, {21,38}, {24,60}, {25,37}, {6,59}, {12,55}, {8,53}, {6,41}, {4,36}, {1,58}, {6,29} }; // ETB60.310 // Bipartite(30,30) Valencies [28,28] // Diameter 3 Girth 4 // Has twins VT AT // Automorphism group of order 2808209322188734464000 EdgesBipt[60][309]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {30,47}, {28,51}, {12,36}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {28,53}, {16,42}, {18,52}, {5,55}, {25,35}, 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{5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB60.311 // Bipartite(30,30) Valencies [29,29] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 530505719624382117272616960000000 EdgesBipt[60][310]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {30,47}, {28,51}, {12,36}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {13,49}, {28,53}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {30,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {29,46}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {30,31}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, 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{19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {9,58}, {29,38}, {22,42}, {30,44}, {1,46}, {27,52}, {8,51}, {18,34}, {30,46}, {15,46}, {18,31}, {26,37}, {14,42}, {15,40}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {30,40}, {27,60}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {19,54}, {13,55}, {25,59}, {6,46}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB60.312 // Bipartite(10,50) Valencies [30,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 75508598663747712162201600000000000 EdgesBipt[60][311]:={ {6,52}, {7,48}, {10,37}, {8,57}, {9,32}, {6,25}, {5,38}, {9,17}, {10,18}, {5,56}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {2,60}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {6,15}, {3,35}, {8,21}, {10,33}, {1,19}, {2,49}, {3,23}, {10,39}, {3,20}, {3,21}, {1,35}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,56}, {10,48}, {6,32}, {10,42}, {9,11}, {1,20}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {2,34}, {2,25}, {4,24}, {4,30}, {9,33}, {8,12}, {7,45}, {8,46}, {8,37}, {9,57}, {5,41}, {6,60}, {8,52}, {1,13}, {7,27}, {7,33}, {1,24}, {2,15}, {9,56}, {1,29}, {2,56}, {6,46}, {9,47}, {4,49}, {2,29}, {5,34}, {1,38}, {2,36}, {8,49}, {7,15}, {8,22}, {9,36}, {1,43}, {8,42}, {4,22}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {10,59}, {3,43}, {6,17}, {5,28}, {2,39}, {9,46}, {10,12}, {7,32}, {7,60}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {9,58}, {3,36}, {6,12}, {4,32}, {4,60}, {2,44}, {1,30}, {8,56}, {6,36}, {8,17}, {1,55}, {3,30}, {3,55}, {9,51}, {3,16}, {10,57}, {2,24}, {2,51}, {10,38}, {6,16}, {10,58}, {7,12}, {8,24}, {8,47}, {8,41}, {9,38}, {9,26}, {5,14}, {10,13}, {4,45}, {1,59}, {10,19}, {9,22}, {4,47}, {8,59}, {3,25}, {7,35}, {6,30}, {7,50}, {4,57}, {9,31}, {5,19}, {10,44}, {10,29}, {7,58}, {1,25}, {2,20}, {9,16}, {4,17}, {5,39}, {9,12}, {7,28}, {6,45}, {2,16}, {6,11}, {8,34}, {10,22}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {10,52}, {1,44}, {4,14}, {10,54}, {4,15}, {1,48}, {9,41}, {3,41}, {4,29}, {1,54}, {4,59}, {7,52}, {6,37}, {8,32}, {6,57}, {10,28}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {2,26}, {3,53}, {1,60}, {9,21}, {8,29}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {2,21}, {4,27}, {7,55}, {5,24}, {8,11}, {3,56}, {2,31}, {1,33}, {5,58}, {3,45}, {5,26}, {3,11}, {7,47}, {4,42}, {5,29}, {4,25}, {3,28}, {4,12}, {8,14}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {8,44}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {7,18}, {5,18}, {5,16}, {1,23}, {10,24}, {10,27}, {10,34}, {3,40}, {7,17}, {2,40}, {8,54}, {6,21}, {1,28}, {7,20}, {9,27}, {7,38}, {2,59}, {10,43}, {6,55}, {7,43}, {4,20}, {5,44}, {5,13}, {10,23}, {9,53}, {4,52}, {9,43}, {4,19}, {8,39}, {7,13}, {9,42}, {5,36}, {10,14}, {10,32}, {4,39}, {6,35}, {6,50}, {1,58}, {7,57}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {4,54}, {10,49}, {9,37}, {6,40} }; // ETB60.313 // Bipartite(10,50) Valencies [30,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2377626786201600000000000 EdgesBipt[60][312]:={ {6,52}, {7,48}, {6,38}, {10,37}, {8,57}, {6,59}, {9,32}, {6,25}, {5,22}, {5,56}, {4,28}, {5,43}, {8,51}, {2,60}, {1,49}, {5,11}, {4,31}, {8,40}, {6,15}, {5,57}, {3,35}, {8,21}, {10,33}, {3,19}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {1,35}, {7,30}, {8,31}, {4,40}, {2,46}, {6,56}, {6,58}, {10,11}, {6,32}, {4,38}, {3,49}, {10,56}, {1,12}, {10,42}, {9,11}, {6,29}, {10,47}, {2,34}, {9,18}, {10,17}, {4,24}, {1,52}, {4,30}, {7,59}, {8,13}, {8,30}, {8,37}, {5,41}, {1,13}, {7,27}, {4,58}, {6,39}, {6,49}, {2,17}, {10,26}, {2,48}, {5,37}, {9,35}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {8,49}, {2,36}, {10,51}, {1,43}, {9,20}, {4,22}, {7,54}, {5,54}, {8,19}, {1,18}, {5,27}, {7,14}, {3,43}, {2,39}, {4,18}, {3,47}, {1,42}, {10,12}, {7,60}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {2,30}, {5,53}, {9,58}, {6,12}, {4,21}, {7,19}, {4,32}, {4,60}, {2,44}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {10,16}, {3,30}, {3,55}, {9,51}, {10,57}, {2,24}, {10,36}, {6,16}, {10,46}, {8,60}, {9,55}, {8,47}, {4,41}, {9,38}, {8,41}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {10,13}, {4,45}, {1,59}, {9,54}, {9,22}, {4,11}, {8,59}, {3,25}, {5,52}, {2,27}, {7,50}, {1,22}, {7,34}, {9,31}, {10,31}, {10,44}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {9,30}, {8,53}, {9,12}, {7,28}, {6,45}, {2,16}, {9,25}, {10,22}, {4,50}, {6,22}, {4,34}, {9,52}, {1,16}, {10,52}, {4,14}, {10,54}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {1,32}, {9,44}, {6,43}, {7,24}, {9,24}, {5,31}, {2,19}, {3,60}, {4,44}, {2,54}, {7,40}, {5,23}, {2,26}, {3,53}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {8,27}, {5,46}, {4,55}, {3,33}, {1,45}, {3,50}, {9,28}, {5,24}, {8,11}, {8,43}, {1,33}, {3,45}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,25}, {10,41}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {1,53}, {3,15}, {5,51}, {9,50}, {6,26}, {5,21}, {2,50}, {9,15}, {10,53}, {9,60}, {6,28}, {6,42}, {4,35}, {1,15}, {1,56}, {7,26}, {7,18}, {2,47}, {7,16}, {5,16}, {1,23}, {8,55}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {9,45}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {2,59}, {10,43}, {6,55}, {6,53}, {7,44}, {9,40}, {4,20}, {8,20}, {5,44}, {5,13}, {10,23}, {4,52}, {1,46}, {3,37}, {8,39}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {7,36}, {6,35}, {1,58}, {8,25}, {4,48}, {7,57}, {6,33}, {2,14}, {9,48}, {5,33}, {2,58}, {4,54} }; // ETB60.314 // Bipartite(10,50) Valencies [30,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 74300837068800000000000 EdgesBipt[60][313]:={ {6,38}, {10,37}, {6,59}, {6,25}, {5,38}, {9,17}, {10,18}, {5,56}, {5,43}, {2,55}, {3,58}, {2,60}, {3,26}, {8,26}, {1,49}, {5,11}, {2,35}, {4,31}, {8,40}, {6,15}, {3,19}, {1,19}, {2,49}, {8,23}, {1,21}, {3,21}, {6,48}, {3,39}, {4,51}, {7,30}, {4,37}, {6,58}, {6,14}, {10,48}, {2,33}, {3,49}, {1,12}, {10,42}, {9,11}, {6,29}, {3,18}, {10,47}, {8,16}, {2,34}, {10,17}, {2,25}, {4,43}, {1,52}, {8,30}, {7,59}, {8,13}, {8,12}, {1,17}, {4,16}, {8,46}, {4,13}, {9,57}, {5,41}, {8,52}, {1,13}, {7,27}, {6,39}, {6,49}, {3,52}, {10,20}, {5,60}, {2,15}, {9,56}, {9,35}, {6,18}, {1,29}, {7,56}, {10,35}, {6,44}, {4,23}, {8,38}, {5,50}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {8,22}, {9,36}, {6,34}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {7,54}, {5,54}, {1,18}, {3,38}, {7,14}, {6,17}, {5,28}, {2,39}, {9,46}, {8,18}, {9,59}, {1,42}, {10,12}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {1,39}, {7,37}, {6,27}, {2,30}, {5,53}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {2,44}, {2,13}, {8,56}, {8,50}, {8,15}, {4,53}, {9,51}, {3,16}, {1,47}, {10,57}, {2,24}, {3,24}, {2,51}, {10,38}, {10,58}, {8,60}, {9,55}, {10,55}, {7,12}, {4,41}, {9,26}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {9,19}, {4,47}, {3,44}, {2,43}, {4,33}, {7,50}, {1,22}, {7,34}, {4,57}, {9,31}, {10,44}, {6,13}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {8,53}, {3,32}, {6,45}, {9,25}, {5,40}, {10,22}, {10,30}, {10,25}, {1,57}, {3,42}, {10,52}, {3,22}, {10,54}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {6,57}, {10,28}, {5,31}, {2,19}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {10,40}, {9,21}, {7,29}, {8,36}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {2,11}, {10,50}, {10,15}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {4,46}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {4,42}, {4,25}, {3,28}, {8,33}, {4,12}, {6,54}, {1,53}, {5,51}, {9,50}, {7,22}, {5,21}, {2,50}, {7,42}, {9,15}, {9,60}, {6,28}, {4,35}, {7,26}, {10,60}, {7,16}, {5,16}, {1,23}, {5,18}, {8,55}, {10,24}, {10,27}, {10,34}, {7,17}, {8,35}, {10,45}, {2,40}, {9,45}, {4,26}, {1,28}, {7,20}, {9,27}, {2,59}, {6,55}, {6,53}, {7,44}, {8,28}, {9,49}, {9,40}, {8,20}, {1,27}, {5,44}, {5,13}, {4,52}, {3,12}, {5,36}, {10,14}, {10,32}, {7,36}, {6,35}, {1,37}, {1,58}, {8,25}, {7,57}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {4,56}, {5,30}, {9,37} }; // ETB60.315 // Bipartite(15,45) Valencies [30,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23184291141135779144562980683776000000000000 EdgesBipt[60][314]:={ {6,52}, {15,33}, {10,37}, {8,57}, {14,36}, {6,25}, {5,38}, {5,56}, {4,28}, {3,58}, {5,59}, {8,51}, {11,59}, {5,45}, {2,60}, {12,22}, {8,26}, {1,49}, {13,37}, {1,40}, {14,38}, {14,50}, {15,54}, {2,35}, {4,31}, {5,57}, {8,21}, {3,19}, {11,57}, {15,27}, {1,19}, {11,53}, {14,56}, {8,23}, {12,16}, {2,18}, {3,21}, {14,45}, {6,48}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {13,43}, {6,58}, {14,57}, {14,29}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {11,29}, {11,35}, {10,56}, {15,57}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {7,59}, {9,33}, {12,46}, {1,17}, {13,59}, {4,16}, {9,57}, {5,41}, {6,60}, {7,41}, {4,58}, {12,42}, {6,39}, {11,39}, {6,49}, {10,26}, {2,17}, {12,31}, {3,52}, {12,40}, {10,20}, {5,60}, {13,47}, {2,48}, {15,30}, {13,20}, {13,55}, {6,18}, {1,29}, {15,19}, {12,37}, {2,56}, {6,46}, {7,56}, {10,35}, {15,45}, {4,23}, {13,58}, {11,18}, {8,38}, {13,26}, {5,50}, {4,49}, {12,52}, {6,24}, {2,29}, {13,16}, {1,38}, {1,26}, {13,19}, {14,32}, {2,36}, {13,41}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {10,59}, {3,43}, {15,28}, {2,39}, {9,46}, {8,18}, {14,35}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {7,37}, {13,49}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {9,58}, {5,35}, {3,36}, {8,48}, {11,60}, {13,17}, {14,54}, {14,60}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {11,21}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {11,36}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {14,33}, {2,51}, {15,37}, {10,38}, {14,23}, {6,16}, {10,46}, {10,58}, {15,34}, {11,33}, {8,60}, {9,55}, {13,25}, {14,39}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {8,41}, {14,21}, {7,46}, {8,45}, {1,41}, {2,23}, {12,55}, {1,59}, {13,53}, {9,54}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {8,59}, {3,25}, {7,35}, {15,60}, {15,58}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {9,31}, {10,31}, {10,44}, {10,29}, {7,58}, {15,52}, {13,22}, {13,56}, {1,25}, {13,50}, {6,19}, {2,20}, {9,16}, {4,17}, {13,31}, {9,30}, {5,39}, 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{4,35}, {15,51}, {14,20}, {15,21}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {14,42}, {10,34}, {15,18}, {5,17}, {3,40}, {15,16}, {7,17}, {8,35}, {13,23}, {8,54}, {6,21}, {15,22}, {9,45}, {14,41}, {4,26}, {12,57}, {1,28}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {2,59}, {15,36}, {10,43}, {15,31}, {6,55}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {12,54}, {10,23}, {4,52}, {9,43}, {14,53}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {13,46}, {15,43}, {11,50}, {12,19}, {13,52}, {14,48}, {1,37}, {1,58}, {2,42}, {2,32}, {6,33}, {12,21}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {15,25}, {4,56}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB60.316 // Bipartite(20,40) Valencies [30,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 862955413299973853282304000000000000 EdgesBipt[60][315]:={ {13,25}, {3,42}, {15,28}, {13,40}, {11,42}, {16,28}, {20,33}, {20,25}, {14,29}, {7,47}, {2,26}, {17,56}, {4,60}, {19,22}, {8,28}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {11,52}, {11,34}, {3,55}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {18,38}, {15,50}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {17,29}, {18,49}, {9,49}, {10,29}, {19,58}, {13,22}, {12,52}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {10,27}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {4,52}, {12,27}, {19,60}, {6,34}, {17,22}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {7,60}, {13,29}, {13,48}, {10,22}, {18,37}, {20,29}, {10,42}, {9,41}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {18,29}, {19,30}, {8,52}, {14,27}, {1,53}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {19,40}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {18,54}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {7,51}, {8,39}, {7,34}, {15,43}, {18,27}, {11,44}, {13,33}, {15,24}, {10,23}, {18,35}, {20,32}, {1,26}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {15,34}, {12,44}, {8,35}, {18,59}, {11,38}, {1,50}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {8,47}, {16,43}, {6,39}, {10,50}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {20,60}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {3,50}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {20,49}, {20,52}, {20,40}, {19,24}, {16,35}, {5,28}, {16,55}, {11,58}, {4,21}, {9,37}, {12,21}, {17,53}, {17,26}, {19,44}, {9,52}, {9,29}, {2,22}, {4,33}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {8,56}, {16,60}, {19,32}, {1,28}, {19,52}, {3,43}, {3,36}, {16,48}, {20,23}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {12,49}, {2,51}, {6,37}, {12,28}, {17,28}, {2,58}, {5,21}, {7,36}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {8,33}, {20,31}, {13,50}, {9,44}, {15,23}, {15,60}, {14,59}, {9,42}, {8,55}, {16,37}, {1,54}, {13,32}, {2,25}, {17,36}, {3,28}, {12,24}, {12,45}, {15,36}, {16,29}, {1,60}, {8,41}, {15,42}, {13,46}, {17,50}, {11,51}, {6,53}, {5,60}, {15,30}, {4,40}, {16,36}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {2,42}, {9,46}, {7,55}, {7,35}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {20,37}, {5,58}, {1,34}, {19,23}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {19,43}, {14,46}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {8,29}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {15,31}, {10,35}, {4,27}, {10,59}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {6,51}, {3,59}, {9,33}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {7,52}, {12,23}, {12,53}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {18,46}, {1,45}, {10,30}, {16,56}, {17,58}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {20,24}, {3,56}, {16,39}, {1,38}, {5,37}, {3,44}, {8,23}, {2,29}, {14,21}, {12,60}, {19,27}, {20,59}, {1,36}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {6,26}, {11,55}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {1,33}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {9,36}, {19,48}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {4,43}, {11,22}, {16,32}, {9,32}, {16,53}, {3,58}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {1,21}, {6,21}, {19,34}, {10,45}, {2,54}, {3,40}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {1,57}, {1,24}, {17,21}, {15,26}, {20,55}, {18,41}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {5,24}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {16,24}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.317 // Bipartite(24,36) Valencies [30,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19168799962237375610880000000 EdgesBipt[60][316]:={ {13,25}, {3,42}, {7,49}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,25}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {22,49}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {22,56}, {15,54}, {7,53}, {7,28}, {18,38}, {15,50}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {19,58}, {6,28}, {12,52}, {16,57}, {22,51}, {12,32}, {22,25}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {21,35}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {19,60}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {7,60}, {13,29}, {22,28}, {13,48}, {18,37}, {15,45}, {20,29}, {14,40}, {9,41}, {23,58}, {17,45}, {23,34}, {24,36}, {11,35}, {3,27}, {3,32}, {8,59}, {8,38}, {19,30}, {22,29}, {8,52}, {11,29}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {21,57}, {18,50}, {20,28}, {10,25}, {12,48}, {11,36}, {19,54}, {1,55}, {19,40}, {24,48}, {15,59}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {20,58}, {13,54}, {7,51}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {22,27}, {20,32}, {9,27}, {18,31}, {1,25}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {24,30}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {24,44}, {9,31}, {5,33}, {4,39}, {6,57}, {21,55}, {12,56}, {22,47}, {8,47}, {16,43}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {19,35}, {23,52}, {1,42}, {16,34}, {8,49}, {19,31}, {22,41}, {18,26}, {4,45}, {11,56}, {22,26}, {2,28}, {1,27}, {20,43}, {9,25}, {4,44}, {5,36}, {20,60}, {9,26}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {24,58}, {15,57}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {22,46}, {24,55}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {18,52}, {18,34}, {2,55}, {10,31}, {22,38}, {8,56}, {12,58}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {24,25}, {9,54}, {11,50}, {6,43}, {24,50}, {23,26}, {21,56}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {23,32}, {7,36}, {9,39}, {10,46}, {14,37}, {22,33}, {7,43}, {11,45}, {20,31}, {10,28}, {9,44}, {15,60}, {14,59}, {22,59}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {2,25}, {17,36}, {18,44}, {21,29}, {23,28}, {9,35}, {14,28}, {12,45}, {15,36}, {16,29}, {1,60}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {24,34}, {4,40}, {23,38}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {18,25}, {21,27}, {10,37}, {6,44}, {2,42}, {22,52}, {18,60}, {10,52}, {24,51}, {15,37}, {7,55}, {7,35}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {9,60}, {24,57}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {5,48}, {14,31}, {7,46}, {19,28}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {13,59}, {6,46}, {2,49}, {12,57}, {21,54}, {16,27}, {19,43}, {23,44}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {16,31}, {24,42}, {18,30}, {11,59}, {6,50}, {1,40}, {10,26}, {8,29}, {1,48}, {15,44}, {23,41}, {19,36}, {15,25}, {3,60}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {6,55}, {7,27}, {4,32}, {19,39}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {18,39}, {9,48}, {3,38}, {2,43}, {14,34}, {23,60}, {19,55}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {20,35}, {15,38}, {14,30}, {8,32}, {22,39}, {7,52}, {13,31}, {23,40}, {4,51}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {21,47}, {24,28}, {7,48}, {14,52}, {11,28}, {6,25}, {13,39}, {2,53}, {19,42}, {24,56}, {17,34}, {13,55}, {12,26}, {18,46}, {23,51}, {24,46}, {18,56}, {1,45}, {16,56}, {17,58}, {17,39}, {6,42}, {11,26}, {24,26}, {13,57}, {12,51}, {20,34}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {19,47}, {23,57}, {13,34}, {14,56}, {22,50}, {3,56}, {15,49}, {16,39}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {12,60}, {19,27}, {20,59}, {1,36}, {18,40}, {17,57}, {13,30}, {20,48}, {24,32}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {13,58}, {6,26}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {17,41}, {11,30}, {8,43}, {2,48}, {23,59}, {16,58}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {22,34}, {16,50}, {24,38}, {9,36}, {19,48}, {10,40}, {6,27}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {14,58}, {16,45}, {22,58}, {22,35}, {5,39}, {12,43}, {19,34}, {13,47}, {10,45}, {23,42}, {15,53}, {2,54}, {21,49}, {16,59}, {20,46}, {23,27}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {23,47}, {19,25}, {15,26}, {20,55}, {23,36}, {16,38}, {5,57}, {22,43}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {21,60}, {13,45}, {4,37}, {22,57}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {8,50}, {17,47}, {21,38}, {24,60}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54}, {2,31} }; // ETB60.318 // Bipartite(24,36) Valencies [30,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4246732800 EdgesBipt[60][317]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {3,29}, {16,28}, {4,26}, {20,33}, {19,41}, {24,59}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {4,60}, {8,28}, {7,57}, {4,57}, {14,49}, {5,32}, {22,49}, {18,58}, {5,52}, {8,37}, {8,31}, {6,60}, {22,55}, {12,42}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, 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{7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,32}, {17,55}, {21,32}, {24,40}, {23,30}, {21,26}, {20,47}, {22,31}, {14,58}, {22,58}, {22,35}, {12,43}, {19,34}, {10,45}, {23,37}, {23,42}, {15,53}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {23,27}, {22,42}, {12,36}, {22,44}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {23,47}, {19,25}, {20,55}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {22,43}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {21,60}, {13,45}, {4,37}, {22,57}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,47}, {21,38}, {24,60}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.319 // Bipartite(30,30) Valencies [30,30] // Diameter 2 Girth 4 // Has twins VT AT // Automorphism group of order 140718159277091764749378493561312239152064323439820800000000000000 EdgesBipt[60][318]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {30,47}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {13,49}, {28,53}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {30,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {29,46}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {30,31}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {30,34}, {13,47}, {17,36}, {10,35}, {13,40}, {29,53}, {15,32}, {1,34}, 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Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 72704382293164078453845555006677990228566567110574080000000000000 EdgesBipt[60][319]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {29,46}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, 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{5,59}, {1,39}, {4,37}, {8,43}, {29,55}, {25,48}, {14,30}, {21,48}, {17,58}, {19,34}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {26,60}, {7,60}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {29,40}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {27,34}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {29,58}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {23,47}, {23,44}, {12,60}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {6,58}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {29,38}, {22,42}, {1,46}, {27,52}, {8,51}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {27,60}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {19,54}, {13,55}, {25,59}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB60.321 // Bipartite(12,48) Valencies [32,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 759702852112737211009039751045971968000000000 EdgesBipt[60][320]:={ {6,52}, {10,37}, {8,57}, {6,25}, {5,38}, {5,56}, {4,28}, {3,58}, {5,59}, {8,51}, {11,59}, {5,45}, {2,60}, {12,22}, {8,26}, {1,49}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {11,15}, {8,21}, {3,19}, {11,57}, {5,15}, {1,19}, {11,53}, {8,23}, {12,16}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {4,37}, {4,40}, {6,58}, {2,33}, {4,38}, {3,49}, {11,29}, {11,35}, {10,56}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {7,59}, {9,33}, {12,46}, {1,17}, {4,16}, {4,13}, {9,57}, {5,41}, {6,60}, {7,41}, {1,13}, {4,58}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {12,31}, {3,52}, {12,40}, {10,20}, {5,60}, {2,48}, {2,15}, {12,13}, {6,18}, {1,29}, {12,37}, {2,56}, {6,46}, {7,56}, {10,35}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {12,52}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {9,36}, {6,34}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {10,59}, {7,14}, {3,43}, {2,39}, {8,18}, {9,46}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {3,13}, {9,13}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {9,58}, {3,36}, {8,48}, {11,60}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {11,36}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {2,51}, {10,38}, {6,16}, {10,46}, {10,58}, {11,33}, {8,60}, {9,55}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {8,41}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {10,13}, {12,55}, {1,59}, {9,54}, {10,19}, {9,22}, {9,19}, {4,47}, {11,44}, {8,59}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {9,31}, {10,31}, {10,44}, {10,29}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {9,16}, {4,17}, {9,30}, {5,39}, {8,53}, {7,28}, {6,45}, {12,18}, {9,25}, {10,22}, {4,50}, {7,23}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {9,52}, {11,54}, {12,25}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {7,49}, {4,29}, {1,32}, {4,59}, {7,52}, {6,43}, {6,37}, {8,32}, {6,57}, {9,24}, {10,28}, {3,60}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {9,21}, {7,29}, {11,56}, {8,29}, {8,36}, {8,27}, {2,45}, {4,55}, {3,48}, {3,33}, {10,50}, {11,30}, {9,28}, {3,34}, {2,21}, {7,55}, {5,24}, {11,47}, {4,46}, {11,45}, {3,54}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {12,58}, {2,57}, {3,57}, {6,54}, {8,14}, {1,53}, {12,60}, {3,15}, {5,51}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {9,15}, {10,53}, {12,34}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {12,57}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {2,59}, {10,43}, {6,55}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {12,54}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {11,50}, {12,19}, {1,37}, {1,58}, {2,42}, {2,32}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB60.322 // Bipartite(20,40) Valencies [32,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 101821636255707202968354816000000 EdgesBipt[60][321]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {4,60}, {19,22}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {15,33}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {19,60}, {6,34}, {17,22}, {1,49}, {11,39}, {7,54}, {16,33}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {17,45}, {17,25}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {19,30}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {19,54}, {11,21}, {19,40}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {1,31}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {20,58}, {13,54}, {8,39}, {7,34}, {9,55}, {15,43}, {12,38}, {11,44}, {13,33}, {10,23}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {14,51}, {3,51}, {5,46}, {19,21}, {18,55}, {12,44}, {16,42}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {6,24}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {20,60}, {9,26}, {12,39}, {12,33}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {15,27}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {15,57}, {20,52}, {20,40}, {19,24}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {17,53}, {11,41}, {19,44}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {17,28}, {2,58}, {5,21}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {15,23}, {15,60}, {14,59}, {9,42}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {2,25}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {15,36}, {10,36}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {17,50}, {11,51}, {6,53}, {5,60}, {16,46}, {9,59}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {18,60}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {4,42}, {3,53}, {20,38}, {14,41}, {4,29}, {9,60}, {8,25}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {14,31}, {8,45}, {6,47}, {20,37}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {10,53}, {5,30}, {13,59}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {11,59}, {4,22}, {6,23}, {10,26}, {1,23}, {8,29}, {19,56}, {1,48}, {7,22}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {14,24}, {3,24}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {1,47}, {6,51}, {3,59}, {20,21}, {20,35}, {15,38}, {7,38}, {14,30}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {7,48}, {14,52}, {11,28}, {13,39}, {11,43}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {18,46}, {18,56}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {7,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {10,33}, {17,49}, {19,47}, {13,34}, {14,56}, {3,56}, {18,24}, {16,39}, {1,38}, {5,37}, {3,44}, {8,23}, {2,29}, {20,30}, {14,21}, {14,44}, {3,21}, {12,60}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {18,45}, {3,39}, {10,41}, {13,58}, {6,26}, {12,34}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {15,52}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {7,58}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {9,57}, {17,60}, {14,45}, {5,35}, {3,45}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {20,47}, {7,50}, {12,43}, {1,21}, {6,21}, {19,34}, {10,45}, {15,53}, {2,54}, {3,40}, {16,59}, {20,46}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {16,38}, {5,57}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {6,59}, {12,55}, {8,53}, {6,41}, {4,36}, {1,58}, {6,29} }; // ETB60.323 // Bipartite(28,32) Valencies [32,28] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 80225525289008638293898543455644678872901039570288640000000000000 EdgesBipt[60][322]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {16,29}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {28,46}, {5,47}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {28,37}, {15,55}, {24,41}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {25,60}, {11,45}, {28,29}, {11,31}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {27,59}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {3,59}, {10,40}, {26,53}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {1,60}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {28,59}, {8,35}, {28,42}, 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{23,31}, {25,29}, {18,43}, {28,40}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {28,44}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {16,34}, {25,36}, {12,30}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, 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{18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {6,43}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {27,60}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {25,59}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB60.324 // Bipartite(16,44) Valencies [33,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 20215248329799867497449940582400000000 EdgesBipt[60][323]:={ {13,25}, {3,42}, {15,28}, {13,40}, {11,42}, {9,18}, {10,17}, {16,28}, {14,29}, {7,47}, {2,26}, {4,60}, {16,17}, {8,28}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {7,24}, {2,57}, {3,47}, {9,58}, {11,52}, {11,34}, {3,55}, {12,25}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {5,18}, {9,49}, {10,29}, {13,22}, {12,52}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {10,27}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {7,60}, {13,29}, {13,48}, {10,22}, {10,42}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {8,52}, {14,27}, {1,53}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {13,17}, {11,36}, {14,22}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {6,19}, {16,20}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {8,35}, {11,38}, {1,50}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {8,47}, {16,43}, {6,39}, {10,50}, {2,45}, {1,42}, {8,49}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {13,18}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {16,35}, {5,28}, {16,55}, {11,58}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {9,52}, {9,29}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {16,60}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {9,54}, {11,50}, {6,43}, {12,47}, {12,49}, {2,51}, {6,37}, {12,28}, {2,58}, {5,21}, {7,36}, {13,26}, {14,37}, {10,46}, {11,24}, {7,43}, {8,33}, {13,50}, {9,44}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {8,55}, {16,37}, {1,54}, {13,32}, {2,25}, {3,28}, {12,24}, {12,45}, {15,36}, {12,20}, {1,60}, {16,29}, {8,41}, {15,42}, {13,46}, {11,51}, {6,53}, {5,60}, {15,30}, {3,19}, {4,40}, {16,36}, {6,45}, {7,40}, {14,19}, {10,37}, {2,42}, {9,46}, {7,55}, {7,35}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {6,47}, {5,58}, {1,34}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {8,17}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {16,25}, {2,33}, {15,31}, {10,35}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {3,34}, {13,20}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {16,40}, {6,51}, {3,59}, {15,19}, {9,33}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {12,23}, {12,53}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {3,52}, {2,53}, {15,18}, {1,45}, {10,30}, {16,56}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {3,56}, {16,39}, {1,38}, {5,37}, {3,44}, {8,23}, {2,29}, {14,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {6,26}, {11,55}, {8,19}, {4,20}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,23}, {7,39}, {9,38}, {1,33}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {16,21}, {6,27}, {12,40}, {15,32}, {14,38}, {6,30}, {7,58}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {4,43}, {11,22}, {16,32}, {9,32}, {16,53}, {3,58}, {14,58}, {16,45}, {7,50}, {12,43}, {1,21}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {1,57}, {5,17}, {1,24}, {15,26}, {2,18}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {5,24}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {16,24}, {4,19}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.325 // Bipartite(24,36) Valencies [33,22] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4270826380475341209600 EdgesBipt[60][324]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, 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{27,28}, {16,57}, {14,36}, {2,43}, {19,50}, {27,36}, {19,52}, {6,43}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {27,60}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {19,28}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB60.327 // Bipartite(9,51) Valencies [34,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 58319064256716842463865817138888441856000000000 EdgesBipt[60][326]:={ {6,52}, {8,57}, {6,25}, {5,38}, {5,56}, {4,28}, {3,58}, {5,59}, {9,10}, {8,51}, {5,45}, {2,60}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {8,21}, {3,19}, {5,15}, {1,19}, {8,23}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {6,58}, {2,33}, {4,38}, {3,49}, {1,20}, {3,18}, {9,18}, {4,43}, {1,52}, {8,30}, {7,59}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {4,13}, {9,57}, {7,11}, {5,41}, {6,60}, {7,41}, {1,13}, {3,10}, {4,58}, {6,39}, {6,49}, {2,17}, {3,52}, {5,60}, {2,48}, {2,15}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {6,34}, {9,36}, {1,43}, {9,39}, {8,42}, {4,22}, {5,54}, {6,51}, {5,27}, {7,14}, {3,43}, {6,10}, {2,39}, {8,18}, {9,46}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {7,37}, {5,12}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {9,58}, {3,36}, {6,12}, {8,48}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {8,60}, {9,55}, {8,47}, {8,24}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {1,59}, {9,54}, {9,22}, {4,11}, {4,47}, {9,19}, {8,59}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {7,50}, {1,22}, {7,34}, {9,31}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {7,28}, {6,45}, {9,25}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {7,49}, {4,29}, {1,32}, {4,59}, {7,52}, {6,43}, {6,37}, {8,32}, {6,57}, {9,24}, {3,60}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {9,21}, {7,29}, {8,29}, {8,36}, {8,27}, {2,45}, {4,55}, {3,48}, {3,33}, {2,11}, {9,28}, {3,34}, {2,21}, {1,11}, {7,55}, {5,24}, {8,11}, {4,46}, {3,54}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {3,57}, {6,54}, {8,14}, {7,10}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {9,15}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {2,59}, {6,55}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {3,12}, {7,13}, {9,42}, {5,36}, {9,34}, {1,37}, {1,58}, {2,42}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {5,30}, {9,37}, {6,40} }; // ETB60.328 // Bipartite(26,34) Valencies [34,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 119064866897179486991738314493694880549464241267015680000000000000 EdgesBipt[60][327]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {26,27}, {15,55}, {24,41}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {25,60}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {23,28}, {3,59}, {7,27}, {10,40}, {26,53}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {1,60}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {16,46}, {24,50}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {4,27}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {11,60}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {25,27}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {5,60}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {26,46}, {18,27}, {11,37}, {14,55}, {2,30}, {24,60}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {13,60}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {6,31}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {14,44}, {20,54}, {25,51}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {25,29}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {24,27}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {25,42}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {26,58}, {15,27}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {26,35}, {10,28}, {16,34}, {12,30}, {25,36}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {5,59}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {25,28}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {26,60}, {7,60}, {3,33}, {21,28}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {23,49}, {11,27}, {26,41}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {17,44}, {9,49}, {3,35}, {15,53}, {26,28}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {26,29}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {26,36}, {3,37}, {4,34} }; // ETB60.329 // Bipartite(18,42) Valencies [35,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 550583531923160401182720000000 EdgesBipt[60][328]:={ {13,25}, {3,42}, {7,49}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {7,53}, {7,28}, {2,24}, {18,38}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {16,33}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {7,60}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {14,40}, {9,41}, {15,20}, {17,45}, {11,35}, {3,27}, {3,32}, {8,59}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {4,41}, {13,54}, {5,20}, {7,51}, {7,34}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {9,27}, {18,31}, {1,25}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {1,42}, {8,49}, {16,34}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {18,34}, {2,55}, {10,31}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {10,28}, {9,44}, {15,23}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {2,25}, {17,36}, {17,23}, {18,44}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {12,20}, {1,60}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {1,39}, {6,45}, {18,43}, {7,40}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {18,60}, {10,52}, {7,55}, {15,37}, {7,35}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {8,22}, {7,46}, {14,31}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {10,53}, {5,30}, {13,59}, {6,46}, {2,49}, {12,57}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {16,31}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {10,26}, {17,20}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {15,25}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {14,30}, {15,38}, {17,24}, {7,52}, {13,31}, {4,51}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {14,52}, {11,28}, {6,25}, {13,39}, {2,53}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {16,56}, {17,58}, {17,39}, {6,42}, {11,20}, {11,26}, {13,24}, {13,57}, {12,51}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {7,41}, {3,44}, {8,23}, {2,29}, {14,44}, {3,21}, {12,60}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {13,58}, {6,26}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,32}, {14,58}, {16,45}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {2,54}, {16,19}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {8,50}, {17,47}, {4,19}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54}, {2,31} }; // ETB60.330 // Bipartite(25,35) Valencies [35,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 160279628515433924796570807972281569970432632474828800000000000000 EdgesBipt[60][329]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {25,30}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,26}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {16,26}, {11,32}, {22,43}, {22,59}, {15,55}, {24,41}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {25,60}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {5,34}, {9,29}, {13,35}, {14,26}, {23,28}, {3,59}, {7,27}, {10,40}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {1,60}, {22,26}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {5,30}, {24,30}, {5,35}, {24,35}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {25,44}, {16,46}, {24,50}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {4,27}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {1,37}, {12,40}, {21,47}, {11,60}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {25,27}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {21,38}, {15,37}, {7,44}, {2,41}, {5,60}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {24,60}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {25,26}, {22,55}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {13,60}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, 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{24,59}, {4,53}, {7,30}, {7,58}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {8,59}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {25,36}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {25,28}, {8,26}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {7,60}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {24,26}, {14,34}, {23,49}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB60.331 // Bipartite(6,54) Valencies [36,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12596917879450837972195016501999903440896000000000 EdgesBipt[60][330]:={ {2,44}, {6,48}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,26}, {3,22}, {2,56}, {3,40}, {4,16}, {1,10}, {4,53}, {1,56}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {5,56}, {4,31}, {1,19}, {2,27}, {3,58}, {5,47}, {5,20}, {3,37}, {2,26}, {2,9}, {3,52}, {2,41}, {3,57}, {6,7}, {2,14}, {5,32}, {4,23}, {2,54}, {2,42}, {6,22}, {3,18}, {3,7}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {6,58}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,39}, {1,31}, {3,12}, {2,53}, {2,35}, {1,22}, {6,12}, {2,59}, {4,47}, {6,30}, {6,55}, {6,43}, {5,23}, {6,60}, {1,59}, {6,49}, {3,51}, {2,20}, {2,57}, {4,59}, {6,18}, {2,48}, {4,52}, {1,29}, {3,39}, {4,35}, {2,32}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {1,58}, {5,48}, {5,14}, {4,55}, {1,28}, {4,13}, {3,27}, {4,7}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {5,42}, {1,52}, {6,15}, {2,17}, {5,41}, {6,51}, {5,12}, {5,54}, {3,19}, {6,27}, {1,49}, {5,44}, {5,59}, {3,21}, {5,36}, {1,25}, {6,19}, {1,46}, {4,58}, {6,9}, {6,54}, {5,51}, {1,53}, {6,28}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {5,60}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {4,49}, {6,34}, {3,55}, {6,10}, {5,27}, {5,26}, {3,42}, {5,9}, {6,52}, {4,25}, {4,11}, {1,8}, {4,20}, {3,28}, {1,41}, {5,45}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {5,21}, {2,30}, {6,13}, {2,18}, {5,35}, {1,34}, {2,60}, {4,17}, {3,36}, {4,44}, {4,32}, {5,57}, {6,57}, {5,53}, {2,50} }; // ETB60.332 // Bipartite(6,54) Valencies [36,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3743906242624487424000000000 EdgesBipt[60][331]:={ {6,48}, {3,33}, {3,60}, {2,24}, {5,17}, {2,33}, {6,32}, {2,46}, {5,34}, {4,26}, {3,22}, {2,56}, {3,40}, {4,16}, {1,10}, {4,53}, {4,30}, {4,56}, {6,17}, {2,23}, {5,38}, {2,51}, {4,29}, {1,57}, {1,32}, {3,13}, {1,27}, {3,15}, {2,15}, {4,19}, {5,56}, {4,31}, {2,19}, {1,19}, {2,27}, {3,58}, {5,47}, {5,20}, {3,37}, {1,21}, {2,9}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {2,54}, {2,42}, {6,22}, {2,45}, {4,38}, {6,21}, {2,25}, {5,40}, {3,46}, {6,31}, {6,40}, {4,10}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {5,22}, {4,22}, {3,49}, {1,18}, {3,14}, {6,58}, {1,55}, {4,8}, {5,11}, {1,44}, {5,29}, {2,10}, {2,38}, {2,37}, {2,52}, {5,43}, {6,8}, {5,25}, {3,56}, {3,12}, {5,58}, {6,12}, {2,59}, {4,47}, {6,30}, {4,21}, {3,20}, {6,60}, {1,59}, {6,49}, {3,51}, {2,20}, {6,18}, {4,52}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {4,57}, {1,23}, {6,50}, {6,24}, {6,44}, {5,24}, {4,48}, {5,7}, {5,49}, {1,45}, {1,9}, {4,55}, {1,28}, {4,13}, {3,11}, {3,50}, {4,7}, {4,28}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {4,46}, {5,42}, {1,52}, {6,15}, {6,51}, {5,54}, {3,19}, {5,31}, {6,27}, {5,44}, {6,26}, {3,23}, {1,39}, {5,36}, {3,21}, {2,7}, {1,25}, {1,46}, {4,58}, {6,9}, {6,54}, {5,51}, {1,53}, {6,41}, {6,14}, {2,11}, {1,35}, {1,37}, {4,37}, {5,60}, {6,42}, {4,40}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {3,48}, {5,8}, {2,47}, {4,49}, {3,55}, {5,27}, {5,26}, {3,42}, {5,9}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {1,14}, {6,59}, {2,55}, {5,15}, {6,39}, {3,47}, {3,59}, {6,53}, {6,13}, {5,35}, {1,54}, {2,18}, {1,34}, {2,60}, {2,43}, {4,17}, {6,35}, {4,39}, {4,44}, {5,52}, {6,57}, {1,36}, {5,53}, {2,50}, {5,16} }; // ETB60.333 // Bipartite(12,48) Valencies [36,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1637435114713789267293445187174400000000 EdgesBipt[60][332]:={ {7,48}, {6,38}, {11,40}, {10,37}, {8,57}, {6,59}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {5,56}, {4,28}, {2,55}, {3,58}, {8,51}, {11,59}, {5,45}, {3,26}, {1,49}, {1,40}, {11,43}, {2,35}, {4,31}, {8,40}, {6,15}, {5,57}, {3,35}, {11,15}, {8,21}, {10,33}, {3,19}, {2,49}, {3,23}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {1,21}, {3,39}, {5,32}, {4,51}, {11,14}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {6,58}, {6,14}, {2,33}, {11,35}, {10,42}, {6,29}, {11,27}, {1,20}, {3,18}, {10,47}, {8,16}, {2,34}, {9,18}, {10,17}, {12,28}, {2,25}, {12,48}, {4,24}, {4,43}, {1,52}, {8,13}, {7,59}, {9,33}, {1,17}, {4,16}, {4,13}, {8,37}, {9,57}, {12,20}, {5,41}, {8,52}, {1,13}, {7,27}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {12,31}, {3,52}, {12,40}, {1,24}, {5,60}, {2,15}, {12,23}, {5,37}, {12,13}, {9,56}, {1,36}, {6,18}, {1,29}, {12,37}, {6,46}, {7,56}, {10,35}, {4,23}, {11,18}, {5,50}, {4,49}, {12,52}, {2,29}, {5,34}, {1,38}, {1,26}, {8,49}, {10,51}, {7,15}, {6,34}, {9,36}, {9,29}, {11,51}, {12,49}, {9,20}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {10,59}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {9,46}, {3,47}, {1,42}, {7,32}, {12,24}, {7,60}, {3,31}, {12,27}, {3,51}, {11,22}, {9,13}, {6,27}, {2,30}, {5,53}, {11,42}, {9,58}, {3,36}, {4,21}, {8,48}, {11,60}, {7,19}, {4,32}, {4,60}, {1,30}, {2,13}, {8,56}, {12,15}, {8,15}, {12,47}, {12,56}, {8,17}, {4,53}, {11,36}, {3,30}, {3,55}, {3,16}, {10,57}, {11,23}, {3,24}, {11,16}, {2,51}, {10,38}, {10,46}, {10,58}, {8,60}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,59}, {11,52}, {11,58}, {12,17}, {1,41}, {2,23}, {10,13}, {4,45}, {12,55}, {9,54}, {10,19}, {9,22}, {12,41}, {3,44}, {4,47}, {11,44}, {8,59}, {11,34}, {7,35}, {11,46}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {11,24}, {4,57}, {10,31}, {10,29}, {7,58}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {8,53}, {3,32}, {7,28}, {6,45}, {9,25}, {5,40}, {10,22}, {10,30}, {7,23}, {12,45}, {6,22}, {10,25}, {12,29}, {1,57}, {6,31}, {11,32}, {9,52}, {11,54}, {12,25}, {1,16}, {3,42}, {3,22}, {1,44}, {10,54}, {4,15}, {1,48}, {9,41}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {4,59}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {6,57}, {9,24}, {2,19}, {3,60}, {4,44}, {2,54}, {7,40}, {2,41}, {12,43}, {5,20}, {2,26}, {1,60}, {9,21}, {10,21}, {11,56}, {8,29}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {1,45}, {10,50}, {10,15}, {3,50}, {11,30}, {9,28}, {3,34}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {11,47}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {12,36}, {2,53}, {3,14}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {12,53}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {11,19}, {8,33}, {12,39}, {2,57}, {6,54}, {7,51}, {11,31}, {1,53}, {12,60}, {3,15}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {9,60}, {8,44}, {6,42}, {4,35}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {11,28}, {7,16}, {5,16}, {5,18}, {8,55}, {11,20}, {10,27}, {10,34}, {5,17}, {3,40}, {8,35}, {10,45}, {6,21}, {9,45}, {12,59}, {12,57}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {2,59}, {12,32}, {10,43}, {6,55}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {11,55}, {4,20}, {8,20}, {5,44}, {5,13}, {5,25}, {9,53}, {10,23}, {4,52}, {1,46}, {4,19}, {8,39}, {9,14}, {9,42}, {5,36}, {9,34}, {10,14}, {4,39}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {6,50}, {1,37}, {1,58}, {8,25}, {2,42}, {4,48}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {2,58}, {4,56}, {5,30}, {10,49}, {11,38}, {9,37} }; // ETB60.334 // Bipartite(12,48) Valencies [36,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1624959306694656 EdgesBipt[60][333]:={ {6,52}, {11,40}, {10,37}, {8,57}, {11,49}, {9,32}, {5,38}, {5,22}, {4,28}, {11,25}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {5,45}, {2,60}, {3,26}, {12,22}, {8,26}, {1,40}, {2,35}, {4,31}, {8,40}, {11,15}, {8,21}, {10,33}, {11,57}, {5,15}, {1,19}, {2,49}, {11,53}, {8,23}, {3,20}, {6,48}, {5,32}, {1,35}, {11,14}, {4,37}, {2,46}, {6,56}, {6,58}, {6,14}, {10,48}, {2,33}, {6,32}, {3,49}, {11,29}, {10,56}, {10,42}, {11,17}, {6,29}, {3,18}, {8,16}, {9,18}, {10,17}, {12,28}, {2,25}, {4,43}, {2,52}, {4,30}, {7,59}, {12,46}, {4,16}, {7,45}, {8,37}, {9,57}, {6,60}, {8,52}, {12,38}, {1,13}, {12,26}, {7,27}, {4,58}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {10,20}, {1,24}, {5,60}, {2,48}, {2,15}, {12,23}, {5,37}, {9,35}, {6,18}, {1,29}, {12,37}, {2,56}, {6,46}, {7,56}, {10,35}, {6,44}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {9,29}, {9,39}, {12,49}, {8,42}, {9,20}, {7,54}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {5,27}, {10,59}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,46}, {9,59}, {3,47}, {1,42}, {12,24}, {7,60}, {1,31}, {3,31}, {12,27}, {3,13}, {11,22}, {9,13}, {1,39}, {7,37}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {12,15}, {11,21}, {12,47}, {12,56}, {6,36}, {1,55}, {4,53}, {10,16}, {11,36}, {9,51}, {3,16}, {1,47}, {10,57}, {2,24}, {11,23}, {3,24}, {10,36}, {2,51}, {10,38}, {6,16}, {10,46}, {10,58}, {11,33}, {8,60}, {9,55}, {8,24}, {4,41}, {8,41}, {9,38}, {5,14}, {3,59}, {3,29}, {11,52}, {11,58}, {12,17}, {1,41}, {2,23}, {10,13}, {12,55}, {1,51}, {9,54}, {10,19}, {9,22}, {12,41}, {3,44}, {4,47}, {9,19}, {8,59}, {3,25}, {11,34}, {7,35}, {11,13}, {11,46}, {2,43}, {2,27}, {12,30}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {11,24}, {4,57}, {5,19}, {9,31}, {10,29}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {9,30}, {8,53}, {3,32}, {7,28}, {6,45}, {2,16}, {8,34}, {9,25}, {10,22}, {10,30}, {4,50}, {7,23}, {4,34}, {10,25}, {1,57}, {9,52}, {11,54}, {12,25}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {10,54}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {8,32}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {7,40}, {2,41}, {12,43}, {10,40}, {12,14}, {1,60}, {9,21}, {10,21}, {7,29}, {11,56}, {2,28}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {3,48}, {3,33}, {1,45}, {3,50}, {11,30}, {3,34}, {4,27}, {7,55}, {11,47}, {4,46}, {8,43}, {3,56}, {2,31}, {11,45}, {5,58}, {3,54}, {8,58}, {3,45}, {5,26}, {12,44}, {7,47}, {4,42}, {5,29}, {12,53}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {5,47}, {12,39}, {12,58}, {2,57}, {3,57}, {7,51}, {11,31}, {12,60}, {3,15}, {5,51}, {11,41}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {9,15}, {10,53}, {8,44}, {6,28}, {6,42}, {1,15}, {5,49}, {1,56}, {1,50}, {7,18}, {11,37}, {2,47}, {5,18}, {5,16}, {1,23}, {8,55}, {10,24}, {11,20}, {10,27}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {9,45}, {12,59}, {4,26}, {12,57}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,59}, {10,43}, {6,55}, {6,53}, {7,44}, {8,28}, {7,43}, {11,55}, {4,20}, {8,20}, {5,44}, {5,13}, {12,54}, {9,53}, {4,52}, {9,43}, {1,46}, {8,39}, {7,13}, {9,14}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {6,50}, {1,58}, {8,25}, {4,48}, {2,32}, {6,33}, {12,21}, {2,14}, {12,51}, {11,26}, {9,48}, {5,48}, {5,33}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB60.335 // Bipartite(15,45) Valencies [36,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5871548632093022097732796416000000 EdgesBipt[60][334]:={ {13,25}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {4,46}, {10,17}, {3,29}, {4,26}, {14,29}, {7,47}, {2,20}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {15,16}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {15,33}, {7,17}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {1,49}, {11,39}, {7,54}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {15,20}, {11,31}, {8,59}, {11,37}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {10,51}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {5,25}, {5,26}, {6,31}, {8,40}, {1,31}, {6,58}, {11,48}, {2,59}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {8,39}, {7,34}, {9,55}, {15,43}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {6,24}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {12,33}, {5,38}, {1,37}, {13,18}, {8,60}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {12,19}, {14,35}, {15,27}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {15,57}, {11,19}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {8,56}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {2,58}, {5,21}, {9,39}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {15,36}, {10,36}, {12,20}, {8,41}, {15,42}, {13,46}, {2,40}, {11,51}, {6,53}, {5,60}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {1,39}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {14,41}, {4,29}, {9,60}, {8,25}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,45}, {14,31}, {6,47}, {14,20}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {11,59}, {4,22}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {13,28}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {14,24}, {4,17}, {3,24}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {13,20}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {8,16}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {7,48}, {14,52}, {11,28}, {13,39}, {11,43}, {11,17}, {2,53}, {15,18}, {13,55}, {4,16}, {10,30}, {6,18}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {6,16}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {10,33}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {3,39}, {10,41}, {6,26}, {13,58}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {2,50}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {7,58}, {13,56}, {6,38}, {8,48}, {2,17}, {9,57}, {14,45}, {5,35}, {3,45}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {12,43}, {1,21}, {6,21}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {15,26}, {2,18}, {5,57}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {7,33}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {13,16}, {8,53}, {6,41}, {4,36}, {1,58}, {6,29} }; // ETB60.336 // Bipartite(15,45) Valencies [36,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338533188894720 EdgesBipt[60][335]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {14,29}, {7,47}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {9,58}, {15,16}, {6,48}, {11,52}, {3,55}, {13,27}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {8,26}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {1,41}, {3,54}, {4,30}, {10,55}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {11,39}, {7,54}, {11,27}, {4,34}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {12,22}, {14,40}, {9,41}, {15,20}, {11,35}, {3,27}, {11,37}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,48}, {13,17}, {11,36}, {14,22}, {11,21}, {1,55}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {13,54}, {5,20}, {7,51}, {7,34}, {9,55}, {1,20}, {15,43}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {10,16}, {12,44}, {15,34}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {4,39}, {7,16}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {13,18}, {8,60}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {15,27}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {3,20}, {5,29}, {15,57}, {9,28}, {2,56}, {5,51}, {11,58}, {12,18}, {8,30}, {14,32}, {9,37}, {12,21}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {12,58}, {1,28}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {6,43}, {11,50}, {12,47}, {7,29}, {11,53}, {12,49}, {12,28}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {13,26}, {10,46}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {13,35}, {8,55}, {1,54}, {13,32}, {10,24}, {2,25}, {9,35}, {12,24}, {14,28}, {15,36}, {10,36}, {1,60}, {8,41}, {15,42}, {2,40}, {9,43}, {11,51}, {5,60}, {9,59}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {7,40}, {14,19}, {10,37}, {6,44}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {9,23}, {1,59}, {3,35}, {4,49}, {14,26}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {5,59}, {11,57}, {11,33}, {7,25}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {8,17}, {11,59}, {4,22}, {6,50}, {1,40}, {10,26}, {1,23}, {1,48}, {8,51}, {14,57}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {4,27}, {3,24}, {6,55}, {7,27}, {15,58}, {12,59}, {15,35}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {3,34}, {13,20}, {9,48}, {3,38}, {2,43}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {4,54}, {12,23}, {12,53}, {8,18}, {4,25}, {10,38}, {10,60}, {6,54}, {1,46}, {1,56}, {10,34}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {13,24}, {6,16}, {13,57}, {12,51}, {7,44}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {3,44}, {2,29}, {14,21}, {14,44}, {3,21}, {1,36}, {13,30}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {6,26}, {13,58}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {1,33}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {7,45}, {8,46}, {15,32}, {14,38}, {7,58}, {13,56}, {8,48}, {2,17}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {4,43}, {11,22}, {1,51}, {9,16}, {14,58}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {10,21}, {3,33}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {13,60}, {1,16}, {2,19}, {5,24}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {10,32}, {8,50}, {4,19}, {6,59}, {11,60}, {6,41}, {10,49}, {12,46}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.337 // Bipartite(20,40) Valencies [36,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 235600065379488183091200 EdgesBipt[60][336]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {4,60}, {19,22}, {20,50}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {12,32}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {19,60}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {13,51}, {4,34}, {7,60}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {11,21}, {1,55}, {19,40}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {8,57}, {9,22}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, {9,27}, {18,31}, {1,25}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,35}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {8,49}, {16,34}, {10,48}, {19,31}, {8,21}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {20,60}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {14,35}, {15,27}, {12,41}, {5,42}, {6,49}, {4,56}, {3,31}, {2,47}, {10,43}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {14,32}, {9,37}, {12,21}, {17,26}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {16,60}, {12,58}, {19,32}, {7,37}, {1,28}, {19,52}, {3,43}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {4,58}, {6,43}, {11,50}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {14,37}, {11,24}, {11,45}, {8,33}, {20,31}, {10,28}, {13,50}, {15,23}, {15,60}, {14,59}, {9,42}, {19,57}, {13,35}, {8,55}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {18,44}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {1,60}, {16,29}, {8,41}, {15,42}, {9,43}, {17,50}, {11,51}, {6,53}, {5,60}, {16,46}, {9,59}, {15,30}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {18,25}, {10,37}, {6,44}, {2,42}, {18,60}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {20,38}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {9,23}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {19,28}, {20,37}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {13,59}, {6,46}, {2,49}, {12,57}, {15,22}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {16,31}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {19,36}, {14,57}, {15,25}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,21}, {2,43}, {3,38}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {20,21}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,25}, {10,38}, {10,60}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {19,59}, {11,46}, {9,56}, {11,54}, {3,41}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {18,24}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {3,21}, {19,27}, {20,59}, {1,36}, {18,40}, {17,57}, {13,30}, {20,48}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {7,21}, {16,44}, {19,45}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {17,27}, {6,38}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {1,21}, {6,21}, {13,47}, {15,53}, {2,54}, {3,40}, {16,59}, {20,46}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {5,24}, {12,31}, {20,36}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.338 // Bipartite(24,36) Valencies [36,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 230802665062224851707061963480085460757422990763753472000000000000 EdgesBipt[60][337]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {24,49}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {21,34}, {24,47}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {24,58}, {7,59}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {4,25}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {16,26}, {11,32}, {22,43}, {22,59}, {15,55}, {24,41}, {17,28}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {5,34}, {9,29}, {13,35}, {14,26}, {23,28}, {3,59}, {7,27}, {10,40}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {1,60}, {22,26}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {5,30}, {24,30}, {5,35}, {24,35}, {18,25}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {16,46}, {24,50}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {22,25}, {15,28}, {6,28}, {11,41}, {9,56}, {14,25}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {4,27}, {24,29}, {9,42}, {13,50}, {3,25}, {1,37}, {12,40}, {21,47}, {11,60}, {8,52}, {1,28}, {7,46}, {8,45}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {21,38}, {15,37}, {7,44}, {2,41}, {5,60}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {24,60}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {12,25}, {14,49}, {20,36}, {6,31}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,25}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {22,44}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {2,50}, {24,27}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {8,59}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {23,60}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {7,60}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {12,45}, {5,46}, {24,26}, {14,34}, {23,49}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {23,40}, {1,51}, {9,25}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {24,51}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {24,25}, {3,57}, {6,47}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {23,58}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB60.339 // Bipartite(23,37) Valencies [37,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 355820775304263313048387193698465085334360444094119936000000000000 EdgesBipt[60][338]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {22,54}, {18,24}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {23,26}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {8,24}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {23,29}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {16,26}, {5,24}, {11,32}, {22,43}, {22,59}, {15,55}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {5,34}, {9,29}, {13,35}, {14,26}, {23,28}, {3,59}, {7,27}, {10,40}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {22,26}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {23,24}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {22,25}, {15,28}, {6,28}, {11,41}, {9,56}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {4,27}, {23,37}, {9,42}, {13,50}, {3,25}, {1,37}, {12,40}, {21,47}, {11,60}, {8,52}, {1,28}, {7,46}, {8,45}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {21,58}, {17,24}, {21,38}, {15,37}, {7,44}, {2,41}, {5,60}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {5,37}, {11,59}, {9,24}, {21,39}, {21,46}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {12,25}, {22,24}, {14,49}, {20,36}, {6,31}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {20,42}, {13,37}, {21,53}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,25}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {1,42}, {4,29}, {21,51}, {23,33}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {22,44}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {14,24}, {21,29}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {3,47}, {22,41}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {8,59}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {23,60}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {7,60}, {12,24}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {23,49}, {7,24}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {23,40}, {1,51}, {9,25}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {21,24}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {23,58}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {10,24}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34} }; // ETB60.340 // Bipartite(3,57) Valencies [38,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10800282466894162206410702273402167212638208000000000 EdgesBipt[60][339]:={ {3,15}, {1,43}, {2,38}, {1,11}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {1,25}, {2,47}, {1,38}, {1,56}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,45}, {3,10}, {3,34}, {1,52}, {3,31}, {2,18}, {2,15}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {1,34}, {2,14}, {2,41}, {2,23}, {1,10}, {2,56}, {1,17}, {3,13}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {3,9}, {3,22}, {1,55}, {2,42}, {3,27}, {1,19}, {2,57}, {2,35}, {2,9}, {1,4}, {1,59}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,24}, {1,58}, {3,42}, {2,27}, {3,52}, {3,58}, {3,4}, {3,57}, {1,23}, {2,21}, {2,48}, {2,54}, {1,7}, {2,39}, {2,12}, {1,49}, {3,28}, {3,24}, {3,12}, {2,51}, {2,6}, {2,59}, {3,21}, {1,14}, {1,41}, {3,49}, {3,60}, {2,8}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {3,25}, {2,26}, {3,6}, {1,28}, {3,36}, {2,60}, {3,37}, {3,43}, {1,47}, {3,33}, {1,8}, {2,30}, {2,5}, {2,45} }; // ETB60.341 // Bipartite(20,40) Valencies [38,19] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2551082656125828464640000 EdgesBipt[60][340]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {4,60}, {20,50}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {4,24}, {18,58}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {9,21}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {2,38}, {20,42}, {2,52}, {4,52}, {19,49}, {12,27}, {19,60}, {6,34}, {17,22}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {18,28}, {4,34}, {13,51}, {7,60}, {13,48}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {10,25}, {12,35}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {20,44}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {20,32}, {1,26}, 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{7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {2,54}, {3,40}, {16,59}, {20,46}, {12,36}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {20,55}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {4,35}, {17,33}, {20,53}, {10,32}, {16,24}, {8,50}, {17,47}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.342 // Bipartite(22,38) Valencies [38,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 587877802676608951992987537414855358378508559807676416000000000000 EdgesBipt[60][341]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {16,56}, {1,47}, {21,30}, {18,24}, {22,54}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {7,23}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {22,37}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, 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{18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {3,37}, {4,34}, {12,23} }; // ETB60.343 // Bipartite(8,52) Valencies [39,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 577367707547414015594667752973926400000000 EdgesBipt[60][342]:={ {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {2,55}, {3,58}, {8,51}, {5,45}, {3,26}, {1,49}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,39}, {5,32}, {4,51}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,58}, {6,14}, {2,33}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {7,59}, {8,13}, {8,12}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {8,52}, {1,13}, {3,10}, {7,27}, {8,9}, {2,10}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {5,60}, {2,15}, {5,37}, {1,36}, {6,18}, {1,29}, {6,46}, {7,56}, {4,23}, {5,50}, {4,49}, {2,29}, {5,34}, {1,38}, {1,26}, {8,49}, {7,15}, {6,34}, {7,54}, {5,54}, {6,51}, {1,18}, {3,38}, {8,19}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {3,47}, {1,42}, {7,32}, {7,60}, {3,31}, {3,51}, {5,12}, {6,27}, {2,30}, {5,53}, {4,9}, {3,36}, {4,21}, {8,48}, {7,19}, {4,32}, {4,60}, {1,30}, {2,13}, {8,56}, {8,15}, {8,17}, {4,53}, {3,30}, {3,55}, {3,16}, {3,24}, {2,51}, {8,60}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {5,14}, {7,46}, {8,45}, {3,59}, {1,41}, {2,23}, {4,45}, {4,11}, {3,44}, {4,47}, {8,59}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {4,57}, {7,58}, {6,13}, {1,25}, {6,19}, {4,17}, {8,53}, {3,32}, {7,28}, {6,45}, {6,11}, {5,40}, {7,23}, {6,22}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,15}, {1,48}, {6,23}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,43}, {6,37}, {8,32}, {7,24}, {6,57}, {2,19}, {3,60}, {4,44}, {2,54}, {7,40}, {2,41}, {5,20}, {2,26}, {1,60}, {8,29}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {6,47}, {3,48}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {4,27}, {7,55}, {5,24}, {2,22}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {2,57}, {4,12}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,42}, {4,35}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {7,16}, {5,16}, {5,18}, {8,55}, {5,17}, {3,40}, {8,35}, {6,21}, {1,28}, {3,27}, {7,20}, {7,38}, {5,42}, {2,38}, {2,59}, {6,55}, {6,53}, {5,10}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {8,39}, {3,12}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {2,9}, {4,48}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {5,30} }; // ETB60.344 // Bipartite(21,39) Valencies [39,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1042147013835806778533023361780879953489174265113608192000000000000 EdgesBipt[60][343]:={ {15,47}, {8,40}, {8,58}, {7,36}, {16,56}, {9,22}, {1,47}, {21,30}, {18,24}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {7,23}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {5,58}, {21,57}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {14,22}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {17,23}, {10,45}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {19,22}, {16,54}, {16,26}, {3,22}, {5,24}, {11,32}, {15,55}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {16,22}, {10,49}, {19,59}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {19,56}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {9,23}, {5,34}, {9,29}, {13,35}, {14,26}, {3,59}, {7,27}, {10,40}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {8,41}, {5,32}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {7,22}, {12,22}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,51}, {20,41}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {15,28}, {6,28}, {11,41}, {21,22}, {9,56}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {21,43}, {7,43}, {12,43}, {8,23}, {5,45}, {5,36}, {12,46}, {4,27}, {9,42}, {13,50}, {3,25}, {1,37}, {13,23}, {12,40}, {11,60}, {21,47}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {4,22}, {21,58}, {10,22}, {17,24}, {21,38}, {15,37}, {7,44}, {2,41}, {5,60}, {6,56}, {8,36}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {20,37}, {17,59}, {5,23}, {12,44}, {11,23}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {5,37}, {11,59}, {9,24}, {21,39}, {21,46}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {20,23}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {18,22}, {8,37}, {8,48}, {12,25}, {14,49}, {20,36}, {6,31}, {1,23}, {6,45}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {2,34}, {9,60}, {20,42}, {13,37}, {21,53}, {6,34}, {15,56}, {18,28}, {21,23}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {1,42}, {4,29}, {21,51}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {17,57}, {16,49}, {18,46}, {4,39}, {18,43}, {2,52}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,22}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {21,29}, {8,22}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {4,23}, {5,22}, {3,47}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {1,48}, {11,54}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {8,59}, {11,22}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {21,36}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {20,22}, {18,36}, {18,23}, {4,54}, {7,60}, {12,24}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {15,22}, {12,45}, {5,46}, {1,22}, {14,34}, {7,24}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {4,48}, {1,51}, {9,25}, {19,31}, {3,30}, {15,38}, {11,46}, {17,55}, {20,43}, {7,52}, {16,41}, {7,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {21,24}, {18,54}, {6,44}, {6,22}, {18,56}, {14,32}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {2,22}, {3,29}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {21,41}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {14,23}, {20,44}, {19,36}, {18,33}, {9,26}, {13,51}, {17,47}, {10,24}, {9,58}, {16,28}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {17,22}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {3,37}, {4,34}, {12,23} }; // ETB60.345 // Bipartite(10,50) Valencies [40,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2416275157239926789190451200000000000 EdgesBipt[60][344]:={ {6,52}, {7,48}, {6,38}, {10,37}, {6,59}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {5,56}, {5,43}, {2,55}, {3,58}, {8,51}, {5,45}, {2,60}, {3,26}, {8,26}, {1,49}, {5,11}, {2,35}, {4,31}, {8,40}, {5,57}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {4,51}, {7,30}, {4,37}, {4,40}, {8,31}, {6,56}, {6,58}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {3,49}, {10,56}, {1,12}, {10,42}, {6,29}, {9,11}, {3,18}, {10,47}, {2,34}, {8,16}, {10,17}, {2,25}, {4,24}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {1,17}, {4,16}, {7,45}, {8,46}, {9,57}, {5,41}, {1,13}, {7,27}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {10,20}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {6,46}, {10,35}, {6,44}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {1,38}, {1,26}, {8,49}, {10,51}, {7,15}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {9,20}, {4,22}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {6,17}, {5,28}, {2,39}, {8,18}, {9,46}, {9,59}, {1,42}, {10,12}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {4,60}, {2,44}, {2,13}, {8,56}, {8,50}, {8,15}, {6,36}, {10,16}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {10,57}, {2,24}, {3,24}, {10,36}, {10,38}, {6,16}, {10,46}, {10,58}, {8,60}, {9,55}, {10,55}, {7,12}, {8,24}, {4,41}, {8,41}, {9,26}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {1,59}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {2,12}, {7,50}, {1,22}, {7,34}, {4,57}, {9,31}, {10,31}, {7,58}, {6,13}, {6,19}, {2,20}, {4,17}, {9,16}, {9,30}, {8,53}, {9,12}, {7,28}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {1,57}, {6,31}, {9,52}, {1,16}, {10,52}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {4,59}, {7,52}, {6,43}, {6,37}, {7,24}, {6,57}, {9,24}, {10,28}, {5,31}, {2,19}, {3,60}, {4,44}, {2,54}, {7,40}, {5,23}, {5,20}, {3,53}, {10,40}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {8,36}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {10,50}, {10,15}, {3,50}, {3,34}, {1,11}, {4,27}, {7,55}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {1,33}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,25}, {10,41}, {3,28}, {8,33}, {5,47}, {2,57}, {4,12}, {6,54}, {8,14}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {10,53}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,56}, {7,18}, {10,60}, {2,47}, {5,18}, {5,16}, {1,23}, {8,55}, {5,55}, {10,27}, {5,17}, {3,40}, {7,17}, {8,35}, {10,45}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {2,59}, {10,43}, {6,53}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,13}, {5,25}, {10,23}, {4,52}, {1,46}, {4,19}, {8,39}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {10,32}, {4,39}, {1,37}, {1,58}, {2,42}, {8,25}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {9,37} }; // ETB60.346 // Bipartite(10,50) Valencies [40,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 966367641600 EdgesBipt[60][345]:={ {7,48}, {6,38}, {10,37}, {6,59}, {6,25}, {9,32}, {5,22}, {10,18}, {5,56}, {4,28}, {5,43}, {2,55}, {5,59}, {8,51}, {5,45}, {2,60}, {8,26}, {1,40}, {2,35}, {8,40}, {5,57}, {3,35}, {8,21}, {10,33}, {3,19}, {3,23}, {8,23}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {7,30}, {4,37}, {4,40}, {8,31}, {6,56}, {6,14}, {10,48}, {2,33}, {6,32}, {3,49}, {10,56}, {1,12}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {9,18}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {8,37}, {9,57}, {7,11}, {8,52}, {7,41}, {1,13}, {4,58}, {6,39}, {6,49}, {2,17}, {10,26}, {7,33}, {3,52}, {5,60}, {2,48}, {2,15}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {10,35}, {6,44}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,39}, {8,42}, {9,20}, {7,54}, {5,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {10,59}, {3,43}, {6,17}, {5,28}, {2,39}, {4,18}, {8,18}, {9,59}, {3,47}, {1,42}, {10,12}, {7,60}, {3,31}, {3,13}, {9,13}, {1,39}, {7,37}, {7,53}, {5,53}, {2,30}, {5,35}, {9,58}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {9,51}, {3,16}, {1,47}, {10,57}, {3,24}, {2,51}, {10,38}, {6,16}, {10,46}, {10,58}, {8,60}, {9,55}, {10,55}, {7,12}, {8,24}, {8,47}, {4,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {9,22}, {4,11}, {3,44}, {9,19}, {7,35}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {1,22}, {7,34}, {4,57}, {5,19}, {9,31}, {10,31}, {10,29}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {6,11}, {9,25}, {10,22}, {10,30}, {4,50}, {7,23}, {6,22}, {4,34}, {10,25}, {1,57}, {6,31}, {9,52}, {1,16}, {3,42}, {10,52}, {3,22}, {4,14}, {10,54}, {4,15}, {7,49}, {1,48}, {9,41}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {4,59}, {6,43}, {6,37}, {7,24}, {6,57}, {9,24}, {10,28}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {6,47}, {3,48}, {2,11}, {1,45}, {10,50}, {10,15}, {3,34}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {8,11}, {4,46}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {2,53}, {3,14}, {5,26}, {3,11}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {1,14}, {6,26}, {5,21}, {7,42}, {6,41}, {9,15}, {10,53}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {7,26}, {1,50}, {10,60}, {2,47}, {7,16}, {1,23}, {5,18}, {5,55}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {2,59}, {10,43}, {6,55}, {6,53}, {7,44}, {9,49}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,25}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,34}, {10,32}, {4,39}, {7,36}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {2,32}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {5,30}, {4,54}, {10,49}, {9,37} }; // ETB60.347 // Bipartite(12,48) Valencies [40,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 197986514941652894660689920000000 EdgesBipt[60][346]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {3,47}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {3,17}, {7,53}, {7,28}, {2,24}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {11,27}, {8,44}, {4,34}, {7,60}, {10,22}, {12,22}, {9,41}, {11,35}, {3,27}, {3,32}, {7,13}, {8,59}, {10,13}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {11,47}, {10,25}, {12,48}, {11,36}, {11,21}, {1,55}, {10,51}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {5,50}, {3,14}, {5,45}, {3,48}, {4,41}, {5,20}, {7,51}, {7,34}, {9,55}, {2,36}, {12,38}, {11,44}, {10,23}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {10,14}, {1,42}, {8,49}, {9,20}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {6,13}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,20}, {11,41}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {11,50}, {6,43}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {11,45}, {10,28}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {2,25}, {2,14}, {9,35}, {12,24}, {12,45}, {12,20}, {1,60}, {8,41}, {2,40}, {9,43}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {10,52}, {7,55}, {7,35}, {9,13}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {12,15}, {5,48}, {8,22}, {7,46}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {4,13}, {8,17}, {11,59}, {4,22}, {6,50}, {1,40}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {6,22}, {3,60}, {3,57}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {1,19}, {5,41}, {4,55}, {8,54}, {11,14}, {9,48}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,52}, {8,18}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {10,34}, {4,14}, {7,48}, {11,28}, {6,25}, {11,17}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {6,18}, {6,42}, {11,20}, {11,26}, {6,16}, {12,51}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {10,41}, {11,15}, {6,26}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,32}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {2,54}, {12,36}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {11,60}, {8,53}, {10,15}, {10,49}, {12,46}, {1,58}, {5,54}, {2,31} }; // ETB60.348 // Bipartite(20,40) Valencies [40,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1985041931115822435300996879582628482836522409740206080000000000000 EdgesBipt[60][347]:={ {15,47}, {8,40}, {8,58}, {7,36}, {16,56}, {9,22}, {1,47}, {18,24}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {13,49}, {6,26}, {4,30}, {16,42}, {7,23}, {18,52}, {5,55}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {15,21}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {18,60}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {12,59}, {7,56}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {4,45}, {15,33}, {13,47}, {17,36}, {10,35}, {13,40}, {14,22}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {4,21}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,21}, {17,23}, {10,45}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {19,22}, {16,54}, {16,26}, {3,22}, {5,24}, {11,32}, {15,55}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {17,54}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {16,22}, {10,49}, {19,59}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {19,56}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {9,23}, {5,34}, {9,29}, {13,35}, {14,26}, {3,59}, {7,27}, {10,40}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {8,41}, {5,32}, {20,50}, {5,33}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {7,22}, {12,22}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,51}, {20,41}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {16,43}, {13,45}, {18,21}, {8,30}, {9,59}, {13,31}, {10,44}, {2,28}, {15,28}, {6,28}, {14,21}, {11,41}, {9,56}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {7,43}, {12,43}, {8,23}, {5,45}, {3,21}, {5,36}, {12,46}, {4,27}, {9,42}, {13,50}, {3,25}, {1,37}, {13,23}, {12,40}, {11,60}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {9,31}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {4,22}, {10,22}, {17,24}, {15,37}, {7,44}, {2,41}, {5,60}, {6,56}, {8,36}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {19,21}, {20,37}, {17,59}, {5,23}, {12,44}, {11,23}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {12,47}, {5,28}, {20,57}, {2,35}, {17,33}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {16,21}, {5,37}, {11,59}, {9,24}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {20,23}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,21}, {7,47}, {19,40}, {18,22}, {8,37}, {8,48}, {12,25}, {14,49}, {20,36}, {6,31}, {1,23}, {6,45}, {12,21}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {2,34}, {9,60}, {20,42}, {13,37}, {6,34}, {2,21}, {15,56}, {18,28}, {15,59}, {6,21}, {2,32}, {6,33}, {12,49}, {18,38}, {1,42}, {4,29}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {17,57}, {16,49}, {18,46}, {4,39}, {18,43}, {2,52}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {14,41}, {13,22}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {8,22}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, 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{17,55}, {20,43}, {7,52}, {16,41}, {7,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {13,21}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {6,22}, {18,56}, {14,32}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {2,22}, {3,29}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {19,29}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {5,21}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {14,23}, {20,44}, {19,36}, {18,33}, {9,26}, {13,51}, {17,47}, {10,24}, {9,58}, {16,28}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {17,22}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {6,43}, {19,45}, {8,21}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {20,21}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {11,21}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {3,37}, {4,34}, {12,23}, {1,21} }; // ETB60.349 // Bipartite(19,41) Valencies [41,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4069335958787435992367043603144388389814870939967422464000000000000 EdgesBipt[60][348]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {19,22}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, 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{19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {19,42}, {19,50}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {12,34}, {11,55}, {15,41}, {4,20}, {4,50}, {7,21}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {19,20}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {19,48}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.350 // Bipartite(4,56) Valencies [42,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1386259865821341051442797274890397286400000000 EdgesBipt[60][349]:={ {3,60}, {1,20}, {2,33}, {4,27}, {2,46}, {4,24}, {3,22}, {3,8}, {3,40}, {4,16}, {1,10}, {4,53}, {1,56}, {4,56}, {2,23}, {1,13}, {2,51}, {3,6}, {4,29}, {1,57}, {1,32}, {3,43}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {2,27}, {3,58}, {3,35}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {2,14}, {1,30}, {4,23}, {2,54}, {2,42}, {3,18}, {3,7}, {2,45}, {3,34}, {2,25}, {3,46}, {1,38}, {2,34}, {4,60}, {1,17}, {1,50}, {1,18}, {3,14}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,39}, {3,56}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {3,44}, {2,59}, {4,47}, {4,33}, {4,21}, {3,20}, {3,51}, {2,13}, {2,57}, {4,59}, {4,52}, {1,29}, {3,39}, {3,32}, {4,35}, {1,12}, {4,57}, {2,6}, {4,48}, {1,60}, {1,45}, {1,9}, {1,58}, {4,55}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,10}, {3,26}, {1,52}, {2,17}, {4,36}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {2,7}, {1,25}, {1,46}, {1,53}, {2,11}, {4,5}, {1,37}, {3,16}, {4,37}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {1,16}, {3,48}, {2,47}, {4,49}, {2,31}, {3,55}, {2,58}, {3,42}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {1,48}, {3,54}, {3,31}, {1,14}, {1,6}, {2,55}, {3,47}, {3,59}, {2,30}, {2,18}, {1,54}, {1,34}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB60.351 // Bipartite(15,45) Valencies [42,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 614848852548510547968000 EdgesBipt[60][350]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {15,16}, {6,48}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {1,32}, {15,50}, {8,36}, {9,21}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {5,45}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {13,23}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {5,60}, {9,59}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {5,48}, {8,22}, {8,45}, {7,46}, {14,31}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {8,17}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,16}, {8,32}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {7,44}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {12,43}, {1,21}, {6,21}, {13,47}, {15,53}, {7,20}, {2,54}, {3,40}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {6,29}, {2,31} }; // ETB60.352 // Bipartite(18,42) Valencies [42,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8995374224688016404179780596424437493274977867296407552000000000000 EdgesBipt[60][351]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {7,60}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {2,42}, {18,60}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.353 // Bipartite(17,43) Valencies [43,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21488949536754705854429475869236156233934669349652529152000000000000 EdgesBipt[60][352]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {17,19}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,18}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {15,23}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {17,58}, {6,18}, {17,39}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.354 // Bipartite(5,55) Valencies [44,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12160735323395232791434729881600000000000 EdgesBipt[60][353]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {5,17}, {2,33}, {4,27}, {4,24}, {4,26}, {3,8}, {3,40}, {4,16}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {5,55}, {5,38}, {3,9}, {3,6}, {4,29}, {1,57}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {2,15}, {4,19}, {5,56}, {4,31}, {2,19}, {1,19}, {2,27}, {3,58}, {3,35}, {5,47}, {5,20}, {1,21}, {2,9}, {2,28}, {2,14}, {5,32}, {2,54}, {2,42}, {3,18}, {2,45}, {3,34}, {2,25}, {5,40}, {3,46}, {1,38}, {4,10}, {2,34}, {4,60}, {1,17}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {5,50}, {5,11}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {5,25}, {2,39}, {3,56}, {1,31}, {4,45}, {2,53}, {2,35}, {5,58}, {1,22}, {1,51}, {3,44}, {2,59}, {4,47}, {4,21}, {5,23}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {4,59}, {2,48}, {4,52}, {1,29}, {3,39}, {4,35}, {2,32}, {1,12}, {5,18}, {4,57}, {1,23}, {5,30}, {5,7}, {5,46}, {1,9}, {1,58}, {5,48}, {4,55}, {4,15}, {1,28}, {3,11}, {3,50}, {4,7}, {4,54}, {1,33}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {2,17}, {4,36}, {5,41}, {4,6}, {5,12}, {1,42}, {3,19}, {4,9}, {1,24}, {5,31}, {1,49}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,46}, {5,51}, {1,53}, {1,37}, {3,16}, {4,37}, {5,60}, {3,53}, {4,40}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {1,47}, {2,40}, {4,49}, {3,55}, {5,10}, {5,27}, {2,58}, {5,26}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {5,13}, {1,41}, {5,45}, {5,6}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {5,15}, {3,59}, {2,30}, {5,21}, {2,18}, {1,54}, {5,35}, {1,34}, {2,60}, {5,37}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {5,57}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB60.355 // Bipartite(12,48) Valencies [44,11] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17493304854426997594521600 EdgesBipt[60][354]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {5,32}, {4,24}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {4,38}, {1,49}, {11,39}, {3,13}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {11,35}, {11,31}, {7,13}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {12,48}, {11,36}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {5,25}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {5,51}, {11,58}, {12,18}, {8,30}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {4,58}, {9,54}, {6,43}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {8,25}, {5,34}, {1,30}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {10,53}, {5,30}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {3,46}, {4,13}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {1,48}, {7,22}, {8,51}, {9,34}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {9,45}, {6,20}, {2,46}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {12,14}, {4,23}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {11,60}, {10,15}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.356 // Bipartite(16,44) Valencies [44,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 55618457624541591623229231661552404370183850081453604864000000000000 EdgesBipt[60][355]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {16,17}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.357 // Bipartite(6,54) Valencies [45,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1644033616986046187365182996480000000 EdgesBipt[60][356]:={ {2,44}, {6,48}, {1,11}, {3,33}, {3,60}, {2,24}, {5,17}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,26}, {2,56}, {3,8}, {4,16}, {1,10}, {4,53}, {4,50}, {4,56}, {2,23}, {1,13}, {5,38}, {3,9}, {4,29}, {1,57}, {3,45}, {3,13}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {4,19}, {5,56}, {4,31}, {2,19}, {1,19}, {3,35}, {5,47}, {5,20}, {3,37}, {2,26}, {1,21}, {2,41}, {3,57}, {6,7}, {2,28}, {2,14}, {1,30}, {5,32}, {4,23}, {2,54}, {2,42}, {6,22}, {3,18}, {3,17}, {3,7}, {4,38}, {6,21}, {2,25}, {5,40}, {6,31}, {6,40}, {4,10}, {2,34}, {1,17}, {2,36}, {1,7}, {4,22}, {5,22}, {3,49}, {1,18}, {3,14}, {6,58}, {1,55}, {5,50}, {4,8}, {5,11}, {2,10}, {4,41}, {5,29}, {2,38}, {2,37}, {2,52}, {6,8}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {5,58}, {1,22}, {1,51}, {3,44}, {6,12}, {2,59}, {4,47}, {6,30}, {6,55}, {6,43}, {4,33}, {4,21}, {5,23}, {3,20}, {6,60}, {1,59}, {6,49}, {3,51}, {2,13}, {2,20}, {4,59}, {6,18}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {6,33}, {5,18}, {4,57}, {1,23}, {6,50}, {6,24}, {5,30}, {6,44}, {6,46}, {5,24}, {5,46}, {1,60}, {1,45}, {1,9}, {1,58}, {5,48}, {6,56}, {4,55}, {5,14}, {4,15}, {4,13}, {1,28}, {3,11}, {3,50}, {3,27}, {4,7}, {4,28}, {1,33}, {4,43}, {3,29}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {6,15}, {2,17}, {5,41}, {6,51}, {5,12}, {5,54}, {1,42}, {3,19}, {4,9}, {1,24}, {6,27}, {1,49}, {5,44}, {6,26}, {5,59}, {3,23}, {1,39}, {3,21}, {5,36}, {2,7}, {1,25}, {6,19}, {1,46}, {4,58}, {6,9}, {6,54}, {5,51}, {1,53}, {1,15}, {6,28}, {6,14}, {2,11}, {1,35}, {1,37}, {5,39}, {4,37}, {5,60}, {6,42}, {3,53}, {4,40}, {6,36}, {3,30}, {5,33}, {3,24}, {4,51}, {2,29}, {6,45}, {2,22}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {6,38}, {2,40}, {4,49}, {2,31}, {6,34}, {3,55}, {6,10}, {5,10}, {5,27}, {2,58}, {5,26}, {3,42}, {5,9}, {6,52}, {4,25}, {3,38}, {4,11}, {4,20}, {1,41}, {5,45}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {2,8}, {2,55}, {5,15}, {6,39}, {6,37}, {3,47}, {6,20}, {3,59}, {2,30}, {5,21}, {6,13}, {2,18}, {1,54}, {5,35}, {1,34}, {2,60}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {5,52}, {5,57}, {6,57}, {1,36}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB60.358 // Bipartite(10,50) Valencies [45,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2246857312960512000000000000 EdgesBipt[60][357]:={ {6,52}, {7,48}, {6,38}, {10,37}, {8,57}, {6,59}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {10,18}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {8,51}, {5,45}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {10,33}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {10,39}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {10,48}, {10,11}, {2,33}, {6,32}, {4,38}, {3,49}, {10,56}, {10,42}, {6,29}, {9,11}, {1,20}, {3,18}, {10,47}, {2,34}, {8,16}, {9,18}, {10,17}, {2,25}, {4,24}, {4,43}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {4,13}, {8,37}, {9,57}, {7,11}, {5,41}, {6,60}, {8,52}, {7,41}, {1,13}, {7,27}, {4,58}, {6,39}, {6,49}, {2,17}, {10,26}, {3,52}, {10,20}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {9,56}, {9,35}, {1,36}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {10,51}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {10,59}, {7,14}, {3,43}, {5,28}, {2,39}, {4,18}, {9,46}, {9,59}, {3,47}, {10,12}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {5,53}, {5,35}, {9,58}, {6,12}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {3,30}, {3,55}, {9,51}, {1,47}, {10,57}, {2,24}, {3,24}, {10,36}, {2,51}, {10,38}, {6,16}, {10,46}, {10,58}, {8,60}, {9,55}, {7,12}, {8,24}, {8,47}, {8,41}, {9,38}, {9,26}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {10,13}, {4,45}, {1,51}, {1,59}, {10,19}, {9,22}, {3,44}, {4,47}, {9,19}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {7,34}, {4,57}, {9,31}, {10,31}, {10,44}, {10,29}, {7,58}, {6,13}, {1,25}, {6,19}, {4,17}, {9,16}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {10,22}, {10,30}, {4,50}, {6,22}, {4,34}, {1,57}, {6,31}, {9,52}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {10,54}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,54}, {4,59}, {7,52}, {6,43}, {8,32}, {7,24}, {10,28}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {1,60}, {9,21}, {10,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {3,33}, {2,11}, {1,45}, {10,50}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {2,31}, {1,33}, {5,58}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,25}, {10,41}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {9,15}, {10,53}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {1,56}, {7,26}, {1,50}, {7,18}, {10,60}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {10,24}, {10,27}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {2,59}, {10,43}, {6,55}, {6,53}, {7,44}, {9,49}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {9,42}, {5,36}, {10,14}, {10,32}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {9,48}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {10,49}, {9,37}, {6,40} }; // ETB60.359 // Bipartite(15,45) Valencies [45,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 156426912069023226440332214048116137291142078354088263680000000000000 EdgesBipt[60][358]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {15,16}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.360 // Bipartite(14,46) Valencies [46,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 479709197011671227750352123080889487692835706952537341952000000000000 EdgesBipt[60][359]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {14,40}, {9,41}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {1,60}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.361 // Bipartite(13,47) Valencies [47,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1610452304253467693161896413200128994397377016197803933696000000000000 EdgesBipt[60][360]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.362 // Bipartite(12,48) Valencies [48,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5946285431089726867059309833354322440851853598268814524416000000000000 EdgesBipt[60][361]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {12,29}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.363 // Bipartite(11,49) Valencies [49,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 24280665510283051373825515152863483300145068859597659308032000000000000 EdgesBipt[60][362]:={ {3,42}, {7,49}, {6,36}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {1,60}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {11,60}, {10,15}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.364 // Bipartite(10,50) Valencies [50,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 110366661410377506244661432513015833182477585725443905945600000000000000 EdgesBipt[60][363]:={ {3,42}, {7,49}, {6,36}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {7,60}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {7,13}, {8,59}, {10,13}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {10,25}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {9,52}, {8,34}, {9,29}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {10,11}, {8,55}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {1,60}, {8,41}, {2,40}, {9,43}, {6,53}, {5,60}, {1,11}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {5,58}, {1,34}, {7,25}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {7,32}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {2,46}, {3,39}, {7,56}, {10,41}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {5,11}, {6,41}, {10,15}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB60.365 // Bipartite(9,51) Valencies [51,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 562869973192925281847773305816380749230635687199763920322560000000000000 EdgesBipt[60][364]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {9,32}, {5,38}, {5,22}, {9,17}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {9,10}, {8,51}, {5,45}, {2,60}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {9,57}, {7,11}, {5,41}, {6,60}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {9,56}, {9,35}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {9,59}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {9,58}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {8,60}, {9,55}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {9,31}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {9,25}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {9,52}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {9,44}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {9,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {9,21}, {7,29}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {2,38}, {2,59}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {9,14}, {9,42}, {5,36}, {9,34}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {9,48}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {9,37}, {6,40} }; // ETB60.366 // Bipartite(8,52) Valencies [52,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3252137622892457184009356878050199884443672859376413761863680000000000000 EdgesBipt[60][365]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {5,45}, {2,60}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {6,60}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {8,60}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {2,59}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {2,9}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB60.367 // Bipartite(7,53) Valencies [53,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21545411751662528844061989317082574234439332693368741172346880000000000000 EdgesBipt[60][366]:={ {6,52}, {7,48}, {6,38}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {6,60}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {6,34}, {1,43}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,8}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {2,59}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB60.368 // Bipartite(6,54) Valencies [54,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 166207462084253793939906774731779858379960566491701717615247360000000000000 EdgesBipt[60][367]:={ {6,52}, {6,38}, {6,59}, {5,7}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {6,60}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {3,38}, {5,27}, {3,43}, {5,28}, {6,17}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {4,57}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {4,34}, {6,22}, {1,57}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {6,37}, {6,43}, {6,57}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {5,10}, {6,53}, {6,55}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {2,32}, {6,33}, {2,14}, {6,7}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB60.369 // Bipartite(5,55) Valencies [55,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1523568402438993111115812101707982035149638526173932411473100800000000000000 EdgesBipt[60][368]:={ {5,7}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {2,35}, {4,31}, {5,57}, {3,35}, {5,6}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {4,51}, {1,35}, {2,7}, {4,37}, {4,40}, {2,46}, {2,33}, {4,38}, {3,49}, {1,12}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {2,6}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {2,56}, {4,23}, {5,50}, {4,49}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {1,43}, {4,22}, {5,54}, {1,18}, {3,38}, {5,27}, {3,43}, {5,28}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {3,25}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {1,22}, {4,57}, {5,19}, {1,6}, {1,25}, {2,20}, {4,17}, {5,39}, {3,32}, {2,16}, {5,40}, {4,50}, {4,34}, {1,57}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {5,31}, {2,19}, {3,60}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {3,6}, {1,53}, {3,15}, {5,51}, {1,14}, {1,34}, {5,21}, {2,50}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {5,10}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {4,6}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {2,32}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30} }; // ETB60.370 // Bipartite(4,56) Valencies [56,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17063966107316722844497095539129398793675951493148043008498728960000000000000 EdgesBipt[60][369]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,58}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {4,60}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {4,47}, {4,33}, {4,21}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {4,59}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {4,57}, {1,23}, {2,6}, {4,48}, {1,60}, {1,45}, {1,9}, {1,58}, {4,55}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {4,58}, {1,53}, {1,15}, {2,11}, {4,5}, {1,35}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {2,58}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {3,59}, {2,30}, {2,18}, {1,54}, {1,34}, {2,60}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB60.371 // Bipartite(3,57) Valencies [57,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 243161517029263300534083611432593932809882308777359612871106887680000000000000 EdgesBipt[60][370]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {2,46}, {3,22}, {2,56}, {3,8}, {3,40}, {1,10}, {1,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {2,19}, {1,19}, {2,27}, {3,58}, {3,35}, {2,4}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {3,34}, {2,25}, {3,46}, {1,38}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {3,49}, {1,18}, {3,14}, {1,55}, {1,5}, {2,5}, {1,44}, {2,10}, {2,38}, {2,37}, {2,52}, {2,39}, {3,56}, {1,31}, {3,12}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {2,32}, {3,4}, {1,12}, {1,23}, {2,6}, {1,60}, {1,45}, {1,9}, {1,58}, {1,28}, {3,11}, {3,50}, {3,27}, {1,33}, {3,29}, {3,10}, {1,43}, {3,26}, {1,52}, {2,17}, {1,42}, {3,19}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {3,16}, {3,53}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {3,48}, {2,47}, {1,47}, {2,40}, {2,31}, {3,55}, {2,58}, {3,42}, {1,4}, {3,38}, {1,8}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {3,59}, {2,18}, {1,54}, {1,34}, {2,60}, {2,43}, {3,36}, {1,36}, {2,50}, {2,49} }; // ETB60.372 // Bipartite(2,58) Valencies [58,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4701122662565757143658949821030149367657724636362285848841399828480000000000000 EdgesBipt[60][371]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,57}, {2,9}, {1,4}, {1,59}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,58}, {2,4}, {2,24}, {1,58}, {2,27}, {2,43}, {1,60}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {2,59}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,60}, {2,7}, {1,47}, {1,45}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB60.373 // Bipartite(1,59) Valencies [59,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 138683118545689835737939019720389406345902876772687432540821294940160000000000000 EdgesBipt[60][372]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,56}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,36}, {1,6}, {1,45}, {1,4}, {1,60}, {1,20}, {1,12}, {1,31}, {1,58}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,59}, {1,49}, {1,3}, {1,18}, {1,5}, {1,57}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 60 is 373 // ******************************************************************************************** // Order 61 // ETB61.1 // Bipartite(30,31) Valencies [31,30] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2181131468794922353615366650200339706856997013317222400000000000000 EdgesBipt[61][1]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {30,47}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {13,49}, {28,53}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {30,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {29,46}, {20,47}, {15,49}, {28,43}, {30,61}, {21,50}, {18,60}, {1,61}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {30,31}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {30,34}, {13,47}, {17,36}, {10,35}, {13,40}, {29,53}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {26,59}, {9,43}, {3,38}, {15,58}, {30,32}, {6,42}, {11,55}, {12,42}, {29,36}, {30,33}, {14,43}, {4,60}, {20,34}, {1,33}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {20,49}, {7,54}, {10,50}, {23,42}, {11,35}, {10,52}, {16,39}, {15,31}, {10,45}, {22,56}, {30,58}, {20,33}, {1,58}, {7,48}, {14,56}, {29,42}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {28,46}, {5,47}, {29,51}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {28,37}, {5,61}, {15,55}, {24,41}, {8,61}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {30,55}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {11,52}, {17,51}, {25,60}, {11,45}, {11,31}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {30,41}, {29,54}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {27,59}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {30,45}, {26,38}, {30,49}, {5,34}, {13,35}, {3,59}, {26,53}, {10,40}, {23,48}, {29,37}, {20,60}, {17,42}, {18,47}, {23,36}, {8,41}, {30,60}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {1,60}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {30,57}, {27,46}, {5,35}, {24,35}, {30,52}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {29,48}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {30,50}, {16,43}, {13,45}, {9,59}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {28,59}, {8,35}, {28,42}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {30,37}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {11,60}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {9,48}, {21,58}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {10,61}, {5,60}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {28,34}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {29,41}, {7,40}, {17,56}, {16,47}, {5,52}, {13,48}, {28,31}, {30,42}, {26,46}, {11,37}, {25,61}, {21,61}, {14,55}, {24,60}, {9,35}, {30,56}, {27,49}, {30,59}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {29,59}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {17,32}, {25,46}, {13,60}, {8,42}, {28,35}, {6,57}, {10,46}, {28,50}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {30,36}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {19,58}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {29,56}, {19,40}, {29,31}, {8,37}, {8,48}, {14,49}, {20,36}, {26,61}, {6,31}, {27,44}, {27,58}, {12,61}, {6,45}, {22,49}, {19,55}, {29,34}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {3,58}, {19,44}, {3,40}, {28,60}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {20,42}, {13,37}, {21,53}, {7,61}, {23,50}, {6,34}, {15,56}, {23,35}, {29,33}, {28,41}, {29,35}, {29,32}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {25,51}, {20,54}, {29,57}, {7,49}, {22,58}, {1,56}, {11,36}, {6,52}, {1,59}, {15,42}, {15,48}, {30,39}, {16,61}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {28,40}, {2,52}, {23,45}, {16,35}, {20,56}, {27,61}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {29,60}, {5,38}, {25,42}, {9,40}, {28,44}, {10,36}, {1,54}, {12,34}, {29,52}, {7,33}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {26,31}, {7,58}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {29,45}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {29,50}, {3,61}, {7,55}, {12,55}, {4,51}, {8,38}, {27,47}, {17,45}, {30,48}, {22,61}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {9,57}, {16,34}, {25,36}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {6,60}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {30,43}, {29,44}, {23,55}, {5,43}, {9,47}, {29,49}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {5,59}, {1,39}, {4,37}, {8,43}, {29,55}, {25,48}, {21,48}, {17,58}, {19,34}, {20,53}, {30,38}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {28,61}, {18,36}, {4,54}, {26,60}, {7,60}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {30,53}, {27,33}, {14,34}, {23,49}, {30,54}, {29,40}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {27,34}, {4,48}, {23,40}, {1,51}, {19,31}, {22,52}, {15,38}, {11,46}, {30,51}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {29,58}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {23,47}, {23,44}, {12,60}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {6,58}, {22,32}, {8,39}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {9,58}, {29,38}, {22,42}, {30,44}, {1,46}, {27,52}, {8,51}, {18,34}, {30,46}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {17,61}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {29,61}, {30,40}, {27,60}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {19,54}, {13,55}, {25,59}, {6,46}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB61.2 // Bipartite(29,32) Valencies [32,29] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2326540233381250510523057760213695687314130147538370560000000000000 EdgesBipt[61][2]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {29,46}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {1,61}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, 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{8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {29,38}, {22,42}, {1,46}, {27,52}, {8,51}, {18,34}, {15,46}, {18,31}, {27,57}, {26,37}, {14,42}, {15,40}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {17,61}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {29,61}, {27,60}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {19,54}, {13,55}, {25,59}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB61.3 // Bipartite(28,33) Valencies [33,28] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2647442334537285063698651934036274402805734305819525120000000000000 EdgesBipt[61][3]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {16,29}, {25,30}, {13,49}, {28,53}, {4,30}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {1,61}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, 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{26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {27,60}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {19,28}, {18,35}, {14,48}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB61.5 // Bipartite(26,35) Valencies [35,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4167270341401282044710841007279320819231248444345548800000000000000 EdgesBipt[61][5]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {5,61}, {26,27}, {15,55}, {24,41}, {8,61}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {11,52}, {17,51}, {11,45}, {25,60}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {23,28}, {3,59}, {7,27}, {10,40}, {26,53}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {1,60}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {5,35}, {24,35}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {25,44}, {16,46}, {24,50}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {4,27}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {21,47}, {11,60}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {25,27}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {10,61}, {5,60}, {25,58}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {26,46}, {18,27}, {11,37}, {25,61}, {21,61}, {14,55}, {2,30}, {24,60}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {13,60}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {26,61}, {6,31}, {12,61}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {20,42}, {13,37}, {21,53}, {7,61}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {14,44}, {20,54}, {25,51}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {25,29}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {24,27}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {25,42}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {22,61}, {26,58}, {15,27}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {5,56}, {8,56}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {26,35}, {10,28}, {16,34}, {12,30}, {25,36}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {5,59}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {25,28}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {26,60}, {7,60}, {3,33}, {21,28}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {23,49}, {11,27}, {26,41}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {17,44}, {9,49}, {3,35}, {15,53}, {26,28}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {26,29}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {9,27}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34} }; // ETB61.6 // Bipartite(25,36) Valencies [36,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5770066626555621292676549087002136518935574769093836800000000000000 EdgesBipt[61][6]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {25,30}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {23,26}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,26}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, 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{3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34} }; // ETB61.8 // Bipartite(23,38) Valencies [38,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 13521189461562005895838713360541673242705696875576557568000000000000 EdgesBipt[61][8]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {18,24}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {23,26}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {8,24}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {23,29}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {16,26}, {5,24}, {11,32}, {22,43}, {22,59}, {5,61}, {15,55}, {8,61}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {22,38}, {19,56}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {5,34}, {9,29}, {13,35}, {14,26}, {23,28}, {3,59}, {7,27}, {10,40}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {23,36}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {22,26}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {23,24}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,51}, {20,41}, {22,51}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {22,25}, {15,28}, {6,28}, {11,41}, {9,56}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {22,53}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {4,27}, {23,37}, {9,42}, {13,50}, {3,25}, {1,37}, {12,40}, {21,47}, {11,60}, {8,52}, {1,28}, {7,46}, {8,45}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {21,58}, {17,24}, {21,38}, {15,37}, {7,44}, {2,41}, {10,61}, {5,60}, {6,56}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {23,56}, {20,37}, {17,59}, {12,44}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {21,61}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {10,26}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {5,37}, {11,59}, {9,24}, {21,39}, {21,46}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {12,25}, {22,24}, {14,49}, {20,36}, {6,31}, {12,61}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {20,42}, {13,37}, {21,53}, {7,61}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,25}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {1,42}, {4,29}, {21,51}, {23,33}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {22,44}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {14,24}, {21,29}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {3,47}, {22,41}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {22,61}, {15,27}, {8,59}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {23,60}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {7,60}, {12,24}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {23,49}, {7,24}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {23,40}, {1,51}, {9,25}, {19,31}, {3,30}, {22,52}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {9,61}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {21,24}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {23,58}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {10,24}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {23,43}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {22,60}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34} }; // ETB61.9 // Bipartite(22,39) Valencies [39,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 22927234304387749127726513959179358976761833832499380224000000000000 EdgesBipt[61][9]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {18,24}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {5,58}, {21,57}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {22,37}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {17,23}, {10,45}, {22,56}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {16,26}, {5,24}, {11,32}, {22,43}, {22,59}, {5,61}, {15,55}, {8,61}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {19,56}, {22,38}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {9,23}, {5,34}, {9,29}, {13,35}, {14,26}, {3,59}, {7,27}, {10,40}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {8,41}, {5,32}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {22,26}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,51}, {20,41}, {22,51}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {22,25}, {15,28}, {6,28}, {11,41}, {9,56}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {22,53}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {21,43}, {7,43}, {12,43}, {8,23}, {5,45}, {5,36}, {12,46}, {4,27}, {9,42}, {13,50}, {3,25}, {1,37}, {13,23}, {12,40}, {21,47}, {11,60}, {8,52}, {1,28}, {7,46}, {8,45}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {21,58}, {17,24}, {21,38}, {15,37}, {7,44}, {2,41}, {10,61}, {5,60}, {6,56}, {8,36}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {20,37}, {17,59}, {5,23}, {12,44}, {11,23}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {21,61}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {10,26}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {5,37}, {11,59}, {9,24}, {21,39}, {21,46}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {20,23}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {12,25}, {22,24}, {14,49}, {20,36}, {6,31}, {1,23}, {12,61}, {6,45}, {22,49}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {2,34}, {9,60}, {22,40}, {20,42}, {13,37}, {21,53}, {7,61}, {6,34}, {15,56}, {18,28}, {21,23}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {22,47}, {1,42}, {4,29}, {21,51}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {22,44}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {17,57}, {16,49}, {18,46}, {4,39}, {18,43}, {2,52}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {21,29}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {4,23}, {3,47}, {22,41}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {22,61}, {15,27}, {8,59}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {21,36}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {18,23}, {4,54}, {7,60}, {12,24}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {7,24}, {11,27}, {6,49}, {22,23}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {4,48}, {22,30}, {1,51}, {9,25}, {19,31}, {3,30}, {22,52}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {9,61}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {21,24}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {8,39}, {6,58}, {22,32}, {19,30}, {1,43}, {15,43}, {7,41}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {14,23}, {20,44}, {19,36}, {18,33}, {9,26}, {22,29}, {13,51}, {17,47}, {22,34}, {10,24}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {22,60}, {2,38}, {10,59}, {2,46}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23} }; // ETB61.10 // Bipartite(21,40) Valencies [40,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 41685880553432271141320934471235198139566970604544327680000000000000 EdgesBipt[61][10]:={ {15,47}, {8,40}, {8,58}, {7,36}, {2,61}, {16,56}, {9,22}, {1,47}, {21,30}, {18,24}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {13,49}, {21,25}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {5,58}, {21,57}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {7,56}, {13,44}, {21,31}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {14,22}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {17,23}, {10,45}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {19,22}, {16,54}, {16,26}, {3,22}, {5,24}, {11,32}, {5,61}, {15,55}, {8,61}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {16,22}, {10,49}, {19,59}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {19,56}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, 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{15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {18,22}, {8,37}, {8,48}, {12,25}, {14,49}, {20,36}, {6,31}, {1,23}, {12,61}, {6,45}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {2,34}, {9,60}, {20,42}, {13,37}, {21,53}, {7,61}, {6,34}, {15,56}, {18,28}, {21,23}, {15,59}, {2,32}, {6,33}, {12,49}, {18,38}, {1,42}, {4,29}, {21,51}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {17,57}, {16,49}, {18,46}, {4,39}, {18,43}, {2,52}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,22}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {21,29}, {8,22}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {4,23}, {5,22}, {3,47}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {15,27}, {8,59}, {11,22}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {21,36}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {20,22}, {18,36}, {18,23}, {4,54}, {7,60}, {12,24}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {15,22}, {12,45}, {5,46}, {1,22}, {14,34}, {7,24}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {4,48}, {1,51}, {9,25}, {19,31}, {3,30}, {15,38}, {11,46}, {17,55}, {20,43}, {9,61}, {7,52}, {16,41}, {7,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {21,24}, {18,54}, {6,44}, {6,22}, {18,56}, {14,32}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {2,22}, {3,29}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {21,41}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {14,23}, {20,44}, {19,36}, {18,33}, {9,26}, {13,51}, {17,47}, {10,24}, {9,58}, {16,28}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {17,22}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23} }; // ETB61.11 // Bipartite(20,41) Valencies [41,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 81386719175748719847340872062887767796297418799348449280000000000000 EdgesBipt[61][11]:={ {15,47}, {8,40}, {8,58}, {7,36}, {2,61}, {16,56}, {9,22}, {1,47}, {18,24}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {5,55}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {15,21}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {20,47}, {19,27}, {15,49}, {18,60}, {1,61}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {12,59}, {7,56}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {13,47}, {17,36}, {10,35}, {13,40}, {14,22}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {4,21}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,21}, {17,23}, {10,45}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {19,22}, {16,54}, {16,26}, {3,22}, {5,24}, {11,32}, {5,61}, {15,55}, {8,61}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {17,54}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {16,22}, {10,49}, {19,59}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {19,56}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {16,53}, {6,48}, {20,35}, {17,48}, {9,23}, {5,34}, {9,29}, {13,35}, {14,26}, {3,59}, {7,27}, {10,40}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {8,41}, {5,32}, {13,61}, {5,33}, {20,50}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {7,22}, {12,22}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,51}, {20,41}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {16,43}, {13,45}, {18,21}, {8,30}, {9,59}, {13,31}, {10,44}, {2,28}, {15,28}, {6,28}, {14,21}, {11,41}, {9,56}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {7,43}, {12,43}, {8,23}, {5,45}, {3,21}, {5,36}, {12,46}, {4,27}, {9,42}, {13,50}, {3,25}, {1,37}, {13,23}, {12,40}, {11,60}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {9,31}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {4,22}, {10,22}, {17,24}, {15,37}, {7,44}, {2,41}, {10,61}, {5,60}, {6,56}, {8,36}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {19,21}, {20,37}, {17,59}, {5,23}, {12,44}, {11,23}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {12,47}, {5,28}, {20,57}, {2,35}, {17,33}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {16,21}, {5,37}, {11,59}, {9,24}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {20,23}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,21}, {7,47}, {19,40}, {18,22}, {8,37}, {8,48}, {12,25}, {14,49}, {20,36}, {6,31}, {1,23}, {12,61}, {6,45}, {12,21}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {2,34}, {9,60}, {20,42}, {13,37}, {7,61}, {6,34}, {2,21}, {15,56}, {18,28}, {15,59}, {6,21}, {2,32}, {6,33}, {12,49}, {18,38}, {1,42}, {4,29}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {17,57}, {16,49}, {18,46}, {4,39}, {18,43}, {2,52}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {14,41}, {13,22}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {8,22}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {4,23}, {5,22}, {3,47}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {17,21}, {15,27}, {8,59}, {11,22}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {20,22}, {18,36}, {18,23}, {4,54}, {7,60}, {12,24}, {3,33}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {15,22}, {12,45}, {5,46}, {1,22}, {14,34}, {7,24}, {11,27}, {6,49}, {2,49}, {10,37}, {15,51}, {18,59}, {4,48}, {9,21}, {1,51}, {9,25}, {19,31}, {3,30}, {15,38}, {11,46}, {17,55}, {20,43}, {9,61}, {7,52}, {16,41}, {7,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {13,21}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {6,22}, {18,56}, {14,32}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {2,22}, {3,29}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {19,29}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {5,21}, {3,45}, {20,40}, {18,32}, {7,28}, {16,60}, {14,23}, {19,36}, {20,44}, {18,33}, {9,26}, {13,51}, {17,47}, {10,24}, {9,58}, {16,28}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {17,22}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {8,21}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {20,21}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {9,27}, {11,25}, {11,44}, {5,49}, {11,21}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23}, {1,21} }; // ETB61.12 // Bipartite(19,42) Valencies [42,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 170912110269072311679415831332064312372224579478631743488000000000000 EdgesBipt[61][12]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {7,61}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {17,61}, {19,41}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {19,22}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {19,49}, {12,27}, {19,60}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {14,40}, {9,41}, {17,43}, {15,20}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {19,54}, {11,21}, {1,55}, {19,40}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {14,61}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {19,21}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, 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{15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {19,34}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {18,61}, {3,33}, {1,57}, {1,24}, {19,25}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.13 // Bipartite(18,43) Valencies [43,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 386801091661584705379730565646250812210824048293745524736000000000000 EdgesBipt[61][13]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {7,61}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {17,61}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {7,60}, {13,29}, {13,48}, {10,22}, {18,37}, {15,45}, {10,42}, {12,22}, {14,40}, 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{9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {18,61}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.14 // Bipartite(17,44) Valencies [44,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 945513779617207057594896938246390874293125451384711282688000000000000 EdgesBipt[61][14]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {7,61}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {17,61}, {14,29}, {7,47}, {2,20}, {2,26}, 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{12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,18}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {6,53}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {11,61}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {17,58}, {6,18}, {17,39}, {9,61}, {11,20}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.15 // Bipartite(16,45) Valencies [45,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2502830593104371623045315424769858196658273253665412218880000000000000 EdgesBipt[61][15]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {16,17}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {16,29}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {9,61}, {11,20}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.16 // Bipartite(15,46) Valencies [46,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7195637955175068416255281846213342315392535604288060129280000000000000 EdgesBipt[61][16]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {15,16}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.17 // Bipartite(14,47) Valencies [47,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 22546332259548547704266549784801805921563278226769255071744000000000000 EdgesBipt[61][17]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {14,40}, {9,41}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {3,61}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.18 // Bipartite(13,48) Valencies [48,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 77301710604166449271771027833606191731074096777494588817408000000000000 EdgesBipt[61][18]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {3,61}, {12,29}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.19 // Bipartite(12,49) Valencies [49,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 291367986123396616485906181834361799601740826315171911696384000000000000 EdgesBipt[61][19]:={ {3,42}, {7,49}, {6,36}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {5,61}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {10,22}, {10,42}, {12,22}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {3,61}, {12,29}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.20 // Bipartite(11,50) Valencies [50,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1214033275514152568691275757643174165007253442979882965401600000000000000 EdgesBipt[61][20]:={ {3,42}, {7,49}, {6,36}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {1,60}, {8,41}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {11,61}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {11,14}, {3,38}, {2,43}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {9,61}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {11,60}, {10,15}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.21 // Bipartite(10,51) Valencies [51,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5628699731929252818477733058163807492306356871997639203225600000000000000 EdgesBipt[61][21]:={ {3,42}, {7,49}, {6,36}, {7,61}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {7,60}, {9,12}, {10,22}, {10,42}, {9,41}, {3,32}, {3,27}, {7,13}, {8,59}, {10,13}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {10,25}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {10,11}, {8,55}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {1,60}, {8,41}, {2,40}, {9,43}, {6,53}, {5,60}, {1,11}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {9,61}, {6,42}, {7,32}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {5,11}, {6,41}, {10,15}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.22 // Bipartite(9,52) Valencies [52,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29269238606032114656084211902451798959993055734387723856773120000000000000 EdgesBipt[61][22]:={ {3,42}, {7,49}, {6,36}, {7,61}, {4,46}, {9,18}, {3,29}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {2,39}, {7,28}, {2,24}, {7,53}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {3,10}, {5,18}, {9,49}, {8,26}, {7,17}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {1,41}, {7,10}, {3,54}, {4,30}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {7,60}, {9,12}, {9,41}, {9,10}, {3,32}, {3,27}, {7,13}, {8,59}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {1,55}, {3,22}, {5,53}, {6,19}, {1,10}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {6,14}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {8,49}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {3,20}, {5,29}, {9,28}, {6,13}, {8,10}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {1,14}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {3,18}, {8,56}, {5,15}, {5,16}, {6,10}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {7,43}, {8,33}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {2,25}, {3,28}, {2,14}, {9,35}, {1,60}, {8,41}, {2,40}, {9,43}, {6,53}, {5,60}, {1,11}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {6,44}, {2,42}, {9,46}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {2,10}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {4,10}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {4,16}, {1,45}, {6,18}, {5,12}, {6,42}, {9,61}, {7,32}, {5,10}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {4,35}, {7,19}, {2,35}, {8,50}, {4,19}, {6,59}, {8,53}, {5,11}, {6,41}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB61.23 // Bipartite(8,53) Valencies [53,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 172363294013300230752495914536660593875514661546949929378775040000000000000 EdgesBipt[61][23]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {5,45}, {2,60}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {2,61}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {6,60}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {1,61}, {6,34}, {1,43}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {4,61}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {8,60}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {7,61}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {8,61}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {2,59}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {2,9}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB61.24 // Bipartite(7,54) Valencies [54,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1163452234589776557579347423122459008659723965441912023306731520000000000000 EdgesBipt[61][24]:={ {6,52}, {7,48}, {6,38}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {2,61}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {6,60}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {1,61}, {6,34}, {1,43}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {4,61}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,8}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {7,61}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {2,59}, {7,9}, {5,10}, {6,53}, {6,55}, {7,44}, {7,43}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB61.25 // Bipartite(6,55) Valencies [55,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9141410414633958666694872610247892210897831157043594468838604800000000000000 EdgesBipt[61][25]:={ {6,52}, {6,38}, {6,59}, {5,7}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {2,61}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {6,60}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {1,61}, {6,34}, {1,43}, {4,22}, {5,54}, {6,51}, {1,18}, {4,61}, {3,38}, {5,27}, {3,43}, {5,28}, {6,17}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {4,57}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {4,34}, {6,22}, {1,57}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {6,37}, {6,43}, {6,57}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {5,10}, {6,53}, {6,55}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {6,61}, {4,48}, {2,32}, {6,33}, {2,14}, {6,7}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB61.26 // Bipartite(5,56) Valencies [56,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 85319830536583614222485477695646993968379757465740215042493644800000000000000 EdgesBipt[61][26]:={ {5,7}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {5,57}, {3,35}, {5,6}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {4,51}, {1,35}, {2,7}, {2,61}, {4,37}, {4,40}, {2,46}, {2,33}, {4,38}, {3,49}, {1,12}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {2,6}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {2,56}, {4,23}, {5,50}, {4,49}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {1,61}, {1,43}, {4,22}, {5,54}, {1,18}, {4,61}, {3,38}, {5,27}, {3,43}, {5,28}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {1,22}, {4,57}, {5,19}, {1,6}, {1,25}, {2,20}, {4,17}, {5,39}, {3,32}, {2,16}, {5,40}, {4,50}, {4,34}, {1,57}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {5,31}, {2,19}, {3,60}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {2,28}, {2,45}, {5,46}, {4,55}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {3,6}, {1,53}, {3,15}, {5,51}, {1,14}, {1,34}, {5,21}, {2,50}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {5,10}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {4,6}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {2,32}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30} }; // ETB61.27 // Bipartite(4,57) Valencies [57,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 972646068117053202136334445730375731239529235109438451484427550720000000000000 EdgesBipt[61][27]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {2,61}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {3,58}, {3,35}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {3,61}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {4,60}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {1,61}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {4,47}, {4,33}, {4,21}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {4,59}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {4,57}, {1,23}, {2,6}, {4,48}, {1,60}, {1,45}, {1,9}, {1,58}, {4,55}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {4,58}, {1,53}, {1,15}, {2,11}, {1,35}, {4,5}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {2,58}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {3,59}, {4,61}, {2,18}, {1,54}, {1,34}, {2,60}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB61.28 // Bipartite(3,58) Valencies [58,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14103367987697271430976849463090448102973173909086857546524199485440000000000000 EdgesBipt[61][28]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {2,46}, {3,22}, {2,56}, {3,8}, {3,40}, {1,10}, {1,56}, {2,61}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {2,19}, {1,19}, {2,27}, {3,35}, {3,58}, {2,4}, {3,37}, {2,26}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {3,61}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {3,34}, {2,25}, {3,46}, {1,38}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {3,49}, {1,18}, {3,14}, {1,55}, {1,5}, {2,5}, {1,44}, {2,10}, {2,38}, {2,37}, {2,52}, {2,39}, {3,56}, {1,31}, {3,12}, {1,61}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {2,32}, {3,4}, {1,12}, {1,23}, {2,6}, {1,60}, {1,45}, {1,9}, {1,58}, {1,28}, {3,11}, {3,50}, {3,27}, {1,33}, {3,29}, {3,10}, {1,43}, {3,26}, {1,52}, {2,17}, {1,42}, {3,19}, {1,24}, {1,49}, {3,23}, {1,39}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {3,16}, {3,53}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {3,48}, {2,47}, {1,47}, {2,40}, {2,31}, {3,55}, {2,58}, {3,42}, {1,4}, {3,38}, {1,8}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {3,59}, {2,18}, {1,54}, {1,34}, {2,60}, {2,43}, {3,36}, {1,36}, {2,50}, {2,49} }; // ETB61.29 // Bipartite(2,59) Valencies [59,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 277366237091379671475878039440778812691805753545374865081642589880320000000000000 EdgesBipt[61][29]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,61}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,61}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,57}, {2,9}, {1,4}, {1,59}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,58}, {2,4}, {2,24}, {1,58}, {2,27}, {2,43}, {1,60}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {2,49}, {2,51}, {1,42}, {2,6}, {2,59}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,60}, {2,7}, {1,47}, {1,45}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB61.30 // Bipartite(1,60) Valencies [60,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 8320987112741390144276341183223364380754172606361245952449277696409600000000000000 EdgesBipt[61][30]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,56}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,61}, {1,36}, {1,6}, {1,45}, {1,4}, {1,60}, {1,20}, {1,12}, {1,31}, {1,58}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,59}, {1,49}, {1,3}, {1,18}, {1,5}, {1,57}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 61 is 30 // ******************************************************************************************** // Order 62 // ETB62.1 // Bipartite(31,31) Valencies [2,2] // Diameter 31 Girth 62 // Twin-free VT AT // Automorphism group of order 124 EdgesBipt[62][1]:={ {13,54}, {25,47}, {5,42}, {27,43}, {13,58}, {30,32}, {4,36}, {30,37}, {1,32}, {11,54}, {26,45}, {31,33}, {10,48}, {4,40}, {3,38}, {2,36}, {18,61}, {9,46}, {6,40}, {16,60}, {23,47}, {2,33}, {26,41}, {18,57}, {8,44}, {17,59}, {8,48}, {14,56}, {29,35}, {22,53}, {12,52}, {15,62}, {5,38}, {17,62}, {23,51}, {10,52}, {31,35}, {19,55}, {12,56}, {27,39}, {15,58}, {3,34}, {19,59}, {9,50}, {29,39}, {24,49}, {11,50}, {7,42}, {1,34}, {20,57}, {16,61}, {14,60}, {25,43}, {7,46}, {24,45}, {28,37}, {6,44}, {20,53}, {28,41}, {21,55}, {22,49}, {21,51} }; // ETB62.2 // Bipartite(31,31) Valencies [3,3] // Diameter 7 Girth 6 // Twin-free VT AT // Automorphism group of order 186 EdgesBipt[62][2]:={ {17,62}, {11,43}, {5,32}, {9,40}, {6,39}, {18,41}, {16,49}, {31,46}, {12,60}, {15,43}, {29,52}, {23,57}, {11,61}, {18,53}, {28,62}, {13,54}, {8,36}, {19,60}, {27,34}, {26,33}, {25,32}, {16,51}, {22,52}, {24,62}, {2,33}, {1,44}, {14,42}, {1,32}, {26,50}, {27,38}, {21,44}, {24,45}, {3,34}, {26,35}, {3,55}, {22,61}, {24,37}, {2,52}, {20,38}, {23,58}, {28,44}, {7,41}, {6,33}, {25,53}, {29,40}, {8,47}, {12,51}, {10,39}, {6,59}, {5,51}, {4,43}, {13,59}, {4,45}, {11,46}, {28,36}, {20,49}, {15,50}, {16,57}, {4,36}, {9,54}, {22,50}, {20,37}, {9,49}, {31,45}, {30,35}, {3,58}, {31,38}, {2,54}, {17,56}, {25,42}, {18,61}, {21,56}, {30,39}, {10,55}, {27,57}, {10,56}, {12,47}, {8,48}, {7,46}, {14,55}, {21,42}, {14,41}, {17,59}, {1,47}, {19,35}, {7,34}, {13,37}, {29,53}, {23,60}, {30,58}, {5,40}, {19,48}, {15,48} }; // ETB62.3 // Bipartite(31,31) Valencies [5,5] // Diameter 4 Girth 6 // Twin-free VT AT // Automorphism group of order 310 EdgesBipt[62][3]:={ {25,62}, {15,52}, {3,33}, {3,60}, {29,45}, {31,61}, {2,33}, {17,35}, {11,36}, {29,51}, {21,48}, {24,48}, {3,40}, {30,58}, {12,56}, {4,56}, {26,47}, {21,37}, {9,55}, {1,32}, {20,40}, {12,38}, {28,48}, {31,60}, {12,39}, {23,54}, {23,55}, {13,53}, {26,59}, {9,43}, {8,39}, {21,43}, {23,59}, {7,36}, {27,44}, {18,58}, {11,50}, {18,34}, {15,60}, {23,44}, {16,61}, {18,37}, {30,59}, {21,52}, {2,45}, {28,56}, {3,34}, {29,52}, {26,45}, {10,38}, {19,40}, {17,61}, {2,37}, {28,50}, {9,41}, {26,40}, {19,53}, {7,49}, {7,43}, {17,33}, {21,44}, {1,51}, {6,43}, {27,62}, {25,54}, {25,41}, {28,41}, {2,57}, {29,54}, {16,58}, {2,32}, {15,53}, {16,32}, {31,62}, {13,43}, {20,44}, {14,47}, {12,47}, {1,60}, {19,61}, {27,53}, {5,48}, {10,42}, {3,50}, {18,47}, {10,45}, {16,38}, {24,35}, {17,52}, {25,37}, {4,36}, {8,32}, {7,59}, {22,58}, {24,62}, {27,45}, {12,53}, {20,39}, {11,55}, {22,54}, {14,49}, {5,36}, {31,56}, {8,62}, {6,54}, {29,56}, {25,42}, {5,51}, {26,41}, {20,46}, {19,36}, {7,60}, {13,46}, {1,35}, {24,38}, {13,42}, {20,35}, {5,39}, {31,57}, {5,33}, {22,49}, {4,34}, {30,50}, {10,34}, {13,51}, {10,49}, {14,52}, {9,33}, {14,57}, {6,34}, {28,46}, {22,48}, {11,47}, {8,55}, {8,49}, {16,46}, {9,38}, {22,40}, {1,41}, {30,51}, {6,39}, {14,46}, {17,42}, {30,57}, {15,55}, {11,42}, {27,50}, {18,35}, {4,44}, {19,37}, {23,61}, {4,32}, {6,57}, {15,58}, {24,59} }; // ETB62.4 // Bipartite(31,31) Valencies [6,6] // Diameter 4 Girth 4 // Twin-free VT AT // Automorphism group of order 372 EdgesBipt[62][4]:={ {17,57}, {6,48}, {2,44}, {15,52}, {3,60}, {13,52}, {6,32}, {2,33}, {21,45}, {29,51}, {29,40}, {11,56}, {9,60}, {3,40}, {4,53}, {1,56}, {12,56}, {22,37}, {16,62}, {18,50}, {1,32}, {13,57}, {5,56}, {23,55}, {8,52}, {4,62}, {21,42}, {21,35}, {24,51}, {26,33}, {7,34}, {11,41}, {23,59}, {30,53}, {14,50}, {31,47}, {12,58}, {27,33}, {5,32}, {3,61}, {27,44}, {12,50}, {23,44}, {14,54}, {15,45}, {6,47}, {3,34}, {5,40}, {31,33}, {10,48}, {31,39}, {1,38}, {26,45}, {14,60}, {2,36}, {7,56}, {7,57}, {6,58}, {13,58}, {10,47}, {30,47}, {18,57}, {19,59}, {31,35}, {9,62}, {2,38}, {24,43}, {15,62}, {29,44}, {11,49}, {28,34}, {12,49}, {29,36}, {16,54}, {17,51}, {22,41}, {24,39}, {10,54}, {10,41}, {3,44}, {4,47}, {18,49}, {9,54}, {22,44}, {28,53}, {18,55}, {22,51}, {30,39}, {16,37}, {10,40}, {7,50}, {26,37}, {19,52}, {11,57}, {23,42}, {15,41}, {8,36}, {6,33}, {18,43}, {13,43}, {19,55}, {5,46}, {14,61}, {15,37}, {17,48}, {1,58}, {5,48}, {26,38}, {25,45}, {20,43}, {16,48}, {4,46}, {30,32}, {21,38}, {16,49}, {27,42}, {15,61}, {4,36}, {25,35}, {13,60}, {12,59}, {23,53}, {9,40}, {25,32}, {28,36}, {8,58}, {30,40}, {20,39}, {17,59}, {10,61}, {28,42}, {31,56}, {19,45}, {26,32}, {17,41}, {25,55}, {7,60}, {1,35}, {20,35}, {28,51}, {20,37}, {23,49}, {29,46}, {3,53}, {14,45}, {25,46}, {25,43}, {8,34}, {20,52}, {22,49}, {8,50}, {30,55}, {24,53}, {19,39}, {18,51}, {16,42}, {9,36}, {11,47}, {27,35}, {14,43}, {2,58}, {28,38}, {12,48}, {27,37}, {26,39}, {9,52}, {11,62}, {19,50}, {8,61}, {13,59}, {24,46}, {7,33}, {17,42}, {4,61}, {20,54}, {27,34}, {1,34}, {2,60}, {21,41}, {5,62}, {29,55}, {6,57}, {22,38}, {21,54}, {31,46}, {24,59} }; // ETB62.5 // Bipartite(31,31) Valencies [6,6] // Diameter 3 Girth 6 // Twin-free VT AT // Automorphism group of order 744000 EdgesBipt[62][5]:={ {6,48}, {25,62}, {16,41}, {28,58}, {22,60}, {17,36}, {31,59}, {13,40}, {2,56}, {25,51}, {10,37}, {4,53}, {18,32}, {22,37}, {29,60}, {8,42}, {21,58}, {25,38}, {29,33}, {1,57}, {12,38}, {7,61}, {17,34}, {30,54}, {14,38}, {8,52}, {22,42}, {15,44}, {28,49}, {5,47}, {26,59}, {19,47}, {24,51}, {18,56}, {26,33}, {29,57}, {15,47}, {7,51}, {31,47}, {27,33}, {30,37}, {9,53}, {31,54}, {29,48}, {28,35}, {18,58}, {2,54}, {11,50}, {10,53}, {23,44}, {18,42}, {16,61}, {21,52}, {6,47}, {11,38}, {14,60}, {3,49}, {13,58}, {1,55}, {15,32}, {15,40}, {12,36}, {4,41}, {8,47}, {28,34}, {12,49}, {10,52}, {23,45}, {2,52}, {5,43}, {8,45}, {22,41}, {28,50}, {17,39}, {20,61}, {26,40}, {19,53}, {1,61}, {7,43}, {21,44}, {3,44}, {10,59}, {30,43}, {9,54}, {9,34}, {1,59}, {25,54}, {23,62}, {3,51}, {9,42}, {26,35}, {30,39}, {7,50}, {4,35}, {18,43}, {16,32}, {20,44}, {4,48}, {5,46}, {28,37}, {5,49}, {15,34}, {19,58}, {17,48}, {1,58}, {13,54}, {6,56}, {27,36}, {8,35}, {4,55}, {31,41}, {24,34}, {6,61}, {26,56}, {18,36}, {10,46}, {4,43}, {31,36}, {21,33}, {31,50}, {24,56}, {21,38}, {16,49}, {17,52}, {29,32}, {24,41}, {12,57}, {14,59}, {25,35}, {8,57}, {23,53}, {25,32}, {16,45}, {27,55}, {19,60}, {11,39}, {27,45}, {12,40}, {12,53}, {14,34}, {24,57}, {11,55}, {10,32}, {19,51}, {11,46}, {20,60}, {20,46}, {13,46}, {20,35}, {14,45}, {5,33}, {3,48}, {13,48}, {23,56}, {19,39}, {1,62}, {6,38}, {9,33}, {20,36}, {29,50}, {30,44}, {14,43}, {3,42}, {16,39}, {27,51}, {27,37}, {26,39}, {9,61}, {22,40}, {23,50}, {22,62}, {24,46}, {2,55}, {6,37}, {30,57}, {3,59}, {13,45}, {7,52}, {2,60}, {21,41}, {15,55}, {5,62}, {11,42}, {7,40}, {17,62}, {2,49} }; // ETB62.6 // Bipartite(31,31) Valencies [10,10] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 620 EdgesBipt[62][6]:={ {18,45}, {16,47}, {31,39}, {5,38}, {16,51}, {25,37}, {2,55}, {3,58}, {5,59}, {11,59}, {19,57}, {31,40}, {25,57}, {2,60}, {26,49}, {28,44}, {3,61}, {14,50}, {17,33}, {8,40}, {5,57}, {20,46}, {21,41}, {2,49}, {19,37}, {15,56}, {4,51}, {15,41}, {28,52}, {24,48}, {13,43}, {27,56}, {14,44}, {2,33}, {31,50}, {11,35}, {10,56}, {24,58}, {20,38}, {19,40}, {22,55}, {22,37}, {26,38}, {12,48}, {16,42}, {16,48}, {15,32}, {7,59}, {9,33}, {13,59}, {28,50}, {8,37}, {29,57}, {17,39}, {6,60}, {12,38}, {17,59}, {25,34}, {14,62}, {23,61}, {22,42}, {19,48}, {12,40}, {13,47}, {18,58}, {20,39}, {29,55}, {27,32}, {27,41}, {26,35}, {9,56}, {1,36}, {23,42}, {6,46}, {15,45}, {7,56}, {18,39}, {29,49}, {28,43}, {17,47}, {18,62}, {12,52}, {30,36}, {31,43}, {1,38}, {2,36}, {20,42}, {10,51}, {26,36}, {24,37}, {22,58}, {6,34}, {8,42}, {30,38}, {18,36}, {6,51}, {29,32}, {10,59}, {21,55}, {20,41}, {9,46}, {30,61}, {26,42}, {21,62}, {1,42}, {27,40}, {19,56}, {19,47}, {1,39}, {7,37}, {17,57}, {28,42}, {15,50}, {11,60}, {14,54}, {14,60}, {4,32}, {21,45}, {12,56}, {29,52}, {30,47}, {11,36}, {9,51}, {22,48}, {15,37}, {10,58}, {8,60}, {14,39}, {25,59}, {10,55}, {31,33}, {4,41}, {27,37}, {21,37}, {17,54}, {28,48}, {7,46}, {11,58}, {11,52}, {1,59}, {13,53}, {20,54}, {26,54}, {24,39}, {13,45}, {11,44}, {31,47}, {5,61}, {8,59}, {24,59}, {19,45}, {2,43}, {5,52}, {7,50}, {10,44}, {15,52}, {15,53}, {23,51}, {13,56}, {22,50}, {11,61}, {23,35}, {24,38}, {20,62}, {31,51}, {26,62}, {20,44}, {14,52}, {5,40}, {23,47}, {25,45}, {15,61}, {4,34}, {29,38}, {22,53}, {17,52}, {9,52}, {22,57}, {14,43}, {13,57}, {13,38}, {10,54}, {27,58}, {16,45}, {3,41}, {4,36}, {15,39}, {1,32}, {31,37}, {30,32}, {6,43}, {24,51}, {8,32}, {6,57}, {16,44}, {4,44}, {2,54}, {21,49}, {17,41}, {25,42}, {18,41}, {14,55}, {30,62}, {14,47}, {23,57}, {21,52}, {13,44}, {24,49}, {2,45}, {21,46}, {4,55}, {25,43}, {3,33}, {1,45}, {23,32}, {9,61}, {27,49}, {3,50}, {3,34}, {16,53}, {7,55}, {20,57}, {11,47}, {26,60}, {4,46}, {3,56}, {3,54}, {29,53}, {7,47}, {12,53}, {30,53}, {31,35}, {23,62}, {12,39}, {30,33}, {17,34}, {28,33}, {31,34}, {7,51}, {19,35}, {12,60}, {26,50}, {11,41}, {1,34}, {21,43}, {23,49}, {10,53}, {9,60}, {8,44}, {19,36}, {28,35}, {27,44}, {21,48}, {4,35}, {18,53}, {1,50}, {8,55}, {29,50}, {5,55}, {10,34}, {16,33}, {3,40}, {8,61}, {2,40}, {9,45}, {16,54}, {25,35}, {24,62}, {6,53}, {9,49}, {6,62}, {27,43}, {20,40}, {18,60}, {22,54}, {1,46}, {8,39}, {29,35}, {23,41}, {9,42}, {28,58}, {30,43}, {5,36}, {24,33}, {25,60}, {13,46}, {12,35}, {7,36}, {29,34}, {25,58}, {26,56}, {6,61}, {22,61}, {4,48}, {16,32}, {2,32}, {18,34}, {18,48}, {7,62}, {17,49}, {12,51}, {3,46}, {19,54}, {5,48}, {5,33}, {30,58}, {10,49}, {28,46}, {27,38}, {6,40} }; // ETB62.7 // Bipartite(31,31) Valencies [15,15] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 930 EdgesBipt[62][7]:={ {15,33}, {6,52}, {30,54}, {11,40}, {15,38}, {27,48}, {6,59}, {9,32}, {26,46}, {16,51}, {25,37}, {5,43}, {2,55}, {3,58}, {23,53}, {25,47}, {27,59}, {11,59}, {8,51}, {5,45}, {2,62}, {22,40}, {1,40}, {14,38}, {17,42}, {13,39}, {26,49}, {15,44}, {14,50}, {17,33}, {8,40}, {16,58}, {3,35}, {20,46}, {10,33}, {21,41}, {2,49}, {26,37}, {14,45}, {19,37}, {15,56}, {20,37}, {20,58}, {5,32}, {30,59}, {29,39}, {15,41}, {26,61}, {13,43}, {14,57}, {31,53}, {13,40}, {27,54}, {2,33}, {17,35}, {24,56}, {31,50}, {4,38}, {11,35}, {15,57}, {24,58}, {10,47}, {20,38}, {22,55}, {22,37}, {26,38}, {16,42}, {18,32}, {30,52}, {2,52}, {16,49}, {9,33}, {20,43}, {28,50}, {29,33}, {7,45}, {26,39}, {29,57}, {24,46}, {5,41}, {6,60}, {8,52}, {31,36}, {29,44}, {12,38}, {26,55}, {17,59}, {4,58}, {12,42}, {6,39}, {23,36}, {23,61}, {3,52}, {12,40}, {13,47}, {2,48}, {16,61}, {20,39}, {5,37}, {31,52}, {24,47}, {21,50}, {18,35}, {31,57}, {24,45}, {23,42}, {12,37}, {13,51}, {16,34}, {2,56}, {23,58}, {16,43}, {10,35}, {6,44}, {26,52}, {27,61}, {9,62}, {18,57}, {18,62}, {9,47}, {12,52}, {17,36}, {31,43}, {18,46}, {14,32}, {10,51}, {1,61}, {22,34}, {22,58}, {6,34}, {12,49}, {11,51}, {8,42}, {30,38}, {10,59}, {18,56}, {21,55}, {24,41}, {27,45}, {2,39}, {30,61}, {24,40}, {26,42}, {14,35}, {21,62}, {27,39}, {1,42}, {7,32}, {7,60}, {19,56}, {19,38}, {19,47}, {3,51}, {27,60}, {18,55}, {13,49}, {7,37}, {28,53}, {17,57}, {11,42}, {9,58}, {31,62}, {14,54}, {27,57}, {4,32}, {25,44}, {4,60}, {22,49}, {2,44}, {21,45}, {8,56}, {31,59}, {12,47}, {23,39}, {23,40}, {4,53}, {30,47}, {11,36}, {13,48}, {10,57}, {21,47}, {26,51}, {10,36}, {15,37}, {20,51}, {10,46}, {11,33}, {22,56}, {8,60}, {17,58}, {25,59}, {11,48}, {31,41}, {4,41}, {27,37}, {24,55}, {18,38}, {28,48}, {8,45}, {10,61}, {13,36}, {3,62}, {1,41}, {29,61}, {1,59}, {21,57}, {28,49}, {30,56}, {25,32}, {31,55}, {12,41}, {26,54}, {11,44}, {24,39}, {5,61}, {8,59}, {23,48}, {11,34}, {24,59}, {21,42}, {15,60}, {16,56}, {5,52}, {27,34}, {22,44}, {7,34}, {17,46}, {15,53}, {25,46}, {22,50}, {13,50}, {23,56}, {11,61}, {23,35}, {24,38}, {8,53}, {19,55}, {31,51}, {26,62}, {22,45}, {16,41}, {17,44}, {14,52}, {5,40}, {23,47}, {25,45}, {28,37}, {11,62}, {4,34}, {17,38}, {29,38}, {25,53}, {1,57}, {28,45}, {17,52}, {22,53}, {30,48}, {7,61}, {19,50}, {22,57}, {27,35}, {1,44}, {15,49}, {10,54}, {30,44}, {31,60}, {14,40}, {20,59}, {7,39}, {3,41}, {4,36}, {1,32}, {1,54}, {21,39}, {7,52}, {31,48}, {28,32}, {6,37}, {8,32}, {24,51}, {20,48}, {26,53}, {3,60}, {16,44}, {4,44}, {29,54}, {2,54}, {24,60}, {12,43}, {20,32}, {25,42}, {29,41}, {17,50}, {19,61}, {29,45}, {14,55}, {1,60}, {23,37}, {1,62}, {11,56}, {14,47}, {23,57}, {28,39}, {8,36}, {13,44}, {24,49}, {21,46}, {23,52}, {5,46}, {4,55}, {6,47}, {3,48}, {25,43}, {3,33}, {30,45}, {9,61}, {20,50}, {28,62}, {14,51}, {27,49}, {19,33}, {3,34}, {29,58}, {19,43}, {20,57}, {4,46}, {18,52}, {19,60}, {8,43}, {3,56}, {12,62}, {21,33}, {3,54}, {12,36}, {3,45}, {29,53}, {7,47}, {4,42}, {16,50}, {27,55}, {30,53}, {10,41}, {21,34}, {8,33}, {13,62}, {12,58}, {2,57}, {28,36}, {18,49}, {15,47}, {7,51}, {20,33}, {15,48}, {19,35}, {26,50}, {17,60}, {9,50}, {15,42}, {22,51}, {30,34}, {13,35}, {21,43}, {6,41}, {28,56}, {10,53}, {24,61}, {12,34}, {30,50}, {9,60}, {19,36}, {28,35}, {19,58}, {19,32}, {18,43}, {15,51}, {23,46}, {18,53}, {5,49}, {1,56}, {13,54}, {20,34}, {1,50}, {2,47}, {16,35}, {5,55}, {14,42}, {10,34}, {13,60}, {8,54}, {21,56}, {17,45}, {9,45}, {12,59}, {14,41}, {16,39}, {16,52}, {28,38}, {7,38}, {2,59}, {25,35}, {31,58}, {21,36}, {30,46}, {6,55}, {6,53}, {28,59}, {7,44}, {27,42}, {9,49}, {18,40}, {9,40}, {11,55}, {27,43}, {18,60}, {20,40}, {5,44}, {22,54}, {12,54}, {9,53}, {22,36}, {26,33}, {29,62}, {1,46}, {3,37}, {8,39}, {29,35}, {9,42}, {25,55}, {30,43}, {5,36}, {9,34}, {15,43}, {13,46}, {10,32}, {4,39}, {25,62}, {29,43}, {7,36}, {6,35}, {28,41}, {25,58}, {6,50}, {14,48}, {31,61}, {1,37}, {16,32}, {4,48}, {7,57}, {6,33}, {2,32}, {18,34}, {17,49}, {7,62}, {3,46}, {9,48}, {19,54}, {5,48}, {5,33}, {2,58}, {4,54}, {11,38}, {10,49}, {25,51}, {6,40}, {29,40} }; // ETB62.8 // Bipartite(31,31) Valencies [15,15] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 19998720 EdgesBipt[62][8]:={ {26,53}, {13,40}, {30,37}, {24,33}, {6,36}, {20,33}, {30,43}, {24,59}, {22,37}, {30,59}, {22,53}, {17,56}, {27,61}, {20,50}, {7,57}, {4,57}, {22,49}, {5,52}, {8,37}, {22,55}, {12,42}, {30,45}, {17,54}, {2,57}, {3,47}, {27,53}, {11,34}, {11,52}, {3,55}, {28,50}, {2,39}, {7,62}, {19,51}, {28,54}, {23,56}, {18,49}, {9,49}, {15,33}, {24,52}, {19,58}, {12,52}, {16,54}, {5,61}, {30,44}, {1,41}, {23,50}, {3,54}, {14,54}, {31,42}, {25,58}, {29,61}, {23,53}, {4,52}, {19,49}, {19,60}, {11,39}, {24,39}, {31,36}, {25,49}, {26,47}, {29,57}, {18,37}, {10,42}, {14,40}, {9,41}, {17,43}, {21,46}, {23,34}, {5,62}, {17,45}, {24,36}, {14,33}, {11,37}, {8,38}, {25,51}, {1,53}, {5,55}, {16,51}, {21,57}, {11,47}, {23,49}, {18,50}, {12,35}, {20,57}, {19,54}, {1,55}, {24,48}, {15,51}, {30,51}, {13,53}, {28,49}, {27,32}, {28,32}, {18,54}, {4,59}, {25,41}, {7,59}, {2,37}, {9,50}, {25,45}, {9,53}, {6,58}, {2,59}, {21,44}, {26,58}, {23,33}, {20,44}, {3,48}, {8,57}, {20,58}, {7,51}, {8,39}, {7,34}, {9,55}, {31,48}, {15,43}, {29,51}, {27,56}, {13,33}, {26,44}, {18,35}, {30,34}, {20,32}, {22,62}, {14,51}, {26,32}, {5,46}, {16,42}, {8,35}, {2,60}, {11,38}, {6,40}, {24,44}, {4,39}, {21,55}, {25,60}, {6,39}, {10,50}, {24,43}, {17,48}, {19,35}, {16,34}, {22,41}, {4,45}, {11,56}, {30,40}, {20,43}, {24,54}, {12,39}, {12,33}, {5,38}, {14,50}, {31,47}, {21,37}, {3,50}, {25,38}, {27,51}, {15,55}, {12,41}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {27,36}, {20,49}, {20,52}, {2,56}, {21,40}, {14,32}, {26,52}, {17,53}, {25,47}, {19,44}, {31,45}, {8,61}, {4,33}, {30,62}, {16,60}, {12,58}, {19,32}, {21,45}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {24,50}, {11,50}, {6,43}, {12,47}, {21,56}, {2,51}, {6,37}, {28,40}, {29,36}, {31,32}, {26,35}, {2,58}, {20,61}, {29,46}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {29,47}, {15,60}, {24,53}, {9,42}, {13,35}, {8,55}, {31,61}, {16,37}, {13,32}, {27,45}, {31,41}, {26,39}, {18,44}, {9,35}, {30,55}, {15,36}, {1,60}, {12,61}, {8,41}, {28,37}, {15,42}, {2,62}, {2,40}, {25,52}, {29,45}, {5,60}, {9,59}, {27,54}, {23,38}, {12,54}, {11,61}, {6,45}, {4,62}, {10,37}, {6,44}, {22,52}, {2,42}, {18,60}, {9,46}, {15,37}, {7,35}, {4,42}, {21,43}, {30,33}, {27,40}, {9,60}, {31,62}, {15,46}, {28,62}, {1,52}, {13,36}, {1,59}, {3,35}, {4,49}, {29,44}, {26,48}, {5,48}, {7,46}, {11,62}, {30,50}, {2,61}, {4,47}, {13,37}, {10,53}, {13,59}, {21,54}, {23,44}, {19,43}, {14,46}, {10,57}, {5,40}, {22,36}, {24,42}, {26,40}, {23,41}, {8,51}, {25,40}, {9,34}, {14,57}, {16,41}, {16,52}, {3,57}, {28,59}, {6,32}, {24,47}, {10,35}, {18,36}, {6,55}, {27,46}, {4,32}, {15,58}, {12,59}, {21,53}, {15,35}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {31,33}, {9,48}, {3,38}, {14,34}, {26,41}, {3,59}, {29,34}, {8,32}, {7,38}, {1,61}, {4,54}, {23,40}, {4,51}, {10,38}, {18,33}, {17,38}, {1,46}, {23,55}, {21,47}, {25,39}, {5,49}, {11,43}, {28,38}, {2,53}, {28,48}, {26,62}, {17,34}, {1,62}, {23,51}, {18,56}, {1,45}, {16,56}, {17,58}, {31,57}, {17,39}, {6,42}, {13,38}, {26,36}, {22,54}, {13,57}, {7,44}, {19,59}, {11,46}, {10,33}, {17,49}, {19,47}, {13,34}, {28,51}, {22,50}, {27,52}, {3,56}, {15,49}, {1,38}, {25,43}, {29,49}, {7,41}, {14,44}, {25,50}, {20,59}, {1,36}, {20,48}, {14,39}, {9,45}, {13,52}, {6,61}, {18,45}, {29,52}, {19,53}, {7,56}, {12,34}, {11,55}, {29,48}, {16,44}, {2,50}, {19,61}, {8,43}, {28,41}, {2,48}, {16,58}, {7,39}, {14,60}, {10,44}, {25,57}, {1,33}, {31,60}, {14,55}, {29,39}, {22,34}, {28,46}, {24,38}, {26,56}, {29,53}, {19,62}, {29,37}, {21,41}, {12,40}, {30,52}, {17,40}, {23,61}, {20,41}, {20,56}, {25,35}, {13,56}, {6,38}, {8,48}, {5,44}, {5,35}, {3,45}, {1,51}, {16,32}, {9,32}, {18,62}, {3,58}, {30,35}, {14,58}, {22,58}, {16,45}, {30,48}, {31,43}, {19,34}, {28,36}, {10,45}, {23,42}, {20,46}, {27,43}, {22,42}, {31,34}, {13,49}, {15,56}, {18,61}, {27,35}, {23,47}, {27,50}, {18,41}, {16,38}, {5,57}, {22,43}, {12,37}, {10,58}, {13,60}, {27,42}, {15,47}, {26,55}, {21,60}, {31,40}, {22,57}, {3,61}, {10,62}, {10,47}, {28,47}, {17,33}, {17,62}, {10,32}, {24,60}, {6,59}, {11,60}, {8,53}, {12,46}, {1,58}, {5,54} }; // ETB62.9 // Bipartite(30,32) Valencies [16,15] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 645120 EdgesBipt[62][9]:={ {3,42}, {26,54}, {13,40}, {24,33}, {30,54}, {7,61}, {14,48}, {20,33}, {30,43}, {17,61}, {22,37}, {7,47}, {4,60}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,52}, {14,47}, {8,31}, {6,60}, {12,42}, {30,45}, {17,54}, {18,51}, {9,58}, {6,48}, {27,53}, {11,52}, {28,50}, {15,54}, {18,38}, {7,62}, {15,50}, {19,51}, {28,54}, {19,37}, {23,56}, {15,33}, {5,61}, {22,51}, {30,44}, {5,56}, {29,42}, {1,41}, {3,54}, {14,54}, {21,35}, {29,61}, {2,38}, {23,53}, {4,52}, {19,49}, {19,60}, {6,34}, {24,39}, {7,54}, {13,51}, {4,34}, {7,60}, {18,37}, {25,32}, {10,42}, {28,45}, {17,43}, {23,58}, {17,45}, {8,59}, {11,37}, {8,38}, {25,51}, {8,52}, {26,57}, {5,47}, {5,55}, {16,51}, {28,58}, {21,57}, {30,60}, {12,35}, {20,57}, {11,36}, {1,55}, {15,59}, {28,42}, {30,51}, {13,53}, {14,61}, {27,32}, {25,56}, {2,37}, {9,50}, {14,43}, {1,31}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {27,62}, {26,58}, {27,57}, {8,57}, {4,41}, {18,53}, {20,58}, {22,32}, {20,54}, {22,45}, {7,34}, {9,55}, {15,43}, {27,56}, {2,36}, {11,44}, {13,33}, {26,44}, {18,35}, {20,32}, {14,62}, {3,51}, {18,42}, {18,55}, {15,34}, {8,58}, {18,59}, {11,38}, {6,40}, {9,31}, {20,39}, {27,41}, {21,55}, {29,32}, {25,60}, {22,47}, {2,44}, {2,45}, {19,35}, {23,52}, {1,42}, {8,49}, {19,31}, {22,41}, {4,45}, {11,56}, {30,40}, {20,43}, {5,36}, {24,54}, {12,39}, {21,36}, {5,38}, {28,52}, {27,51}, {3,50}, {25,38}, {26,37}, {16,62}, {11,32}, {2,47}, {10,43}, {27,36}, {25,46}, {15,57}, {29,41}, {26,49}, {20,40}, {16,35}, {16,55}, {21,62}, {25,33}, {11,58}, {14,32}, {9,37}, {25,47}, {24,49}, {11,41}, {19,44}, {22,46}, {24,55}, {23,46}, {12,50}, {15,40}, {21,34}, {22,38}, {11,49}, {30,62}, {30,57}, {16,60}, {7,37}, {19,52}, {3,43}, {18,48}, {17,46}, {24,50}, {6,43}, {9,54}, {26,31}, {12,47}, {21,56}, {28,40}, {1,35}, {26,35}, {20,61}, {29,46}, {28,60}, {7,36}, {21,61}, {13,50}, {22,59}, {21,50}, {30,38}, {13,35}, {8,55}, {16,37}, {1,54}, {17,36}, {20,62}, {12,45}, {30,36}, {1,60}, {12,61}, {27,59}, {28,37}, {15,42}, {2,62}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {29,33}, {9,59}, {24,34}, {4,40}, {23,38}, {16,36}, {1,39}, {6,45}, {7,40}, {6,44}, {25,36}, {22,52}, {9,46}, {10,52}, {24,51}, {12,62}, {7,35}, {27,47}, {23,48}, {21,43}, {20,38}, {14,41}, {24,57}, {26,34}, {1,43}, {29,56}, {1,52}, {13,36}, {26,59}, {3,35}, {4,61}, {26,48}, {9,40}, {14,31}, {8,45}, {7,46}, {5,59}, {11,57}, {11,33}, {1,34}, {30,50}, {22,40}, {4,47}, {2,61}, {13,37}, {24,37}, {10,53}, {13,59}, {6,46}, {2,49}, {23,44}, {14,46}, {10,57}, {24,62}, {3,46}, {28,61}, {16,31}, {27,34}, {24,42}, {1,40}, {28,35}, {19,56}, {17,31}, {15,44}, {23,41}, {8,51}, {25,40}, {9,34}, {16,41}, {17,44}, {6,32}, {2,33}, {24,47}, {10,35}, {4,32}, {29,59}, {12,59}, {21,53}, {26,61}, {15,48}, {4,55}, {9,48}, {3,38}, {13,44}, {9,62}, {26,41}, {6,51}, {3,59}, {29,34}, {8,42}, {8,32}, {22,39}, {23,40}, {12,53}, {5,31}, {10,38}, {10,60}, {18,33}, {21,33}, {1,56}, {25,39}, {5,49}, {13,39}, {28,38}, {2,53}, {28,48}, {19,42}, {26,62}, {19,50}, {17,34}, {6,62}, {18,56}, {17,58}, {17,39}, {6,42}, {29,58}, {22,54}, {13,57}, {7,44}, {27,44}, {17,52}, {9,56}, {4,31}, {11,54}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {3,56}, {16,39}, {5,37}, {25,43}, {29,49}, {7,41}, {3,44}, {25,50}, {20,59}, {18,40}, {24,32}, {14,42}, {21,58}, {13,52}, {29,52}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {23,35}, {12,34}, {23,31}, {2,50}, {4,48}, {8,43}, {2,48}, {23,59}, {16,58}, {7,39}, {14,60}, {9,51}, {10,44}, {2,32}, {6,33}, {14,55}, {29,39}, {15,52}, {28,46}, {19,48}, {9,36}, {29,53}, {27,49}, {18,47}, {29,37}, {12,40}, {23,61}, {20,41}, {15,32}, {14,38}, {18,57}, {27,39}, {19,46}, {8,48}, {17,60}, {5,35}, {21,48}, {29,55}, {1,51}, {24,45}, {9,32}, {16,53}, {18,62}, {3,58}, {30,35}, {26,42}, {22,31}, {28,55}, {30,31}, {16,45}, {30,48}, {5,39}, {12,43}, {19,34}, {10,45}, {15,61}, {21,49}, {27,43}, {22,42}, {27,31}, {22,44}, {15,56}, {3,33}, {1,57}, {20,55}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {16,49}, {4,53}, {25,55}, {7,33}, {12,31}, {20,36}, {15,47}, {20,45}, {21,60}, {13,45}, {26,45}, {4,37}, {28,33}, {10,47}, {30,47}, {25,53}, {8,50}, {24,60}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54} }; // ETB62.10 // Bipartite(30,32) Valencies [16,15] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 23040 EdgesBipt[62][10]:={ {26,53}, {3,42}, {6,36}, {24,33}, {30,37}, {30,54}, {11,42}, {7,61}, {20,33}, {17,61}, {19,41}, {25,42}, {26,33}, {27,61}, {20,50}, {3,49}, {4,57}, {14,49}, {22,49}, {18,58}, {8,31}, {6,60}, {22,55}, {17,54}, {2,57}, {3,47}, {9,58}, {28,50}, {15,54}, {7,53}, {18,38}, {15,50}, {1,32}, {22,61}, {28,54}, {13,43}, {19,37}, {23,56}, {18,49}, {9,49}, {12,52}, {5,43}, {16,57}, {22,51}, {5,61}, {30,44}, {5,56}, {23,54}, {3,54}, {21,35}, {25,58}, {23,53}, {23,45}, {2,52}, {19,49}, {19,60}, {6,34}, {1,49}, {21,31}, {7,54}, {16,33}, {13,51}, {4,34}, {26,46}, {13,48}, {18,37}, {29,50}, {10,42}, {14,40}, {28,45}, {9,41}, {17,43}, {23,58}, {5,62}, {8,59}, {8,52}, {16,61}, {5,47}, {30,56}, {17,42}, {28,58}, {23,49}, {30,60}, {18,50}, {12,35}, {12,48}, {19,54}, {1,55}, {10,51}, {28,42}, {15,51}, {5,53}, {28,49}, {14,61}, {27,32}, {25,41}, {17,51}, {2,37}, {25,45}, {9,53}, {25,61}, {28,57}, {1,31}, {2,41}, {6,58}, {2,59}, {17,32}, {6,35}, {5,50}, {27,62}, {20,44}, {3,48}, {21,42}, {8,57}, {4,41}, {20,58}, {13,54}, {29,38}, {7,34}, {22,45}, {9,55}, {29,51}, {27,56}, {11,44}, {13,33}, {26,44}, {18,35}, {14,62}, {18,31}, {26,32}, {3,51}, {16,42}, {15,34}, {2,60}, {18,59}, {11,38}, {24,44}, {9,31}, {4,39}, {27,41}, {29,32}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {23,52}, {19,35}, {26,60}, {1,42}, {8,49}, {19,31}, {22,41}, {4,45}, {11,56}, {30,40}, {12,39}, {14,53}, {26,43}, {5,38}, {22,60}, {8,60}, {6,52}, {21,37}, {25,38}, {26,37}, {15,55}, {12,41}, {5,42}, {16,62}, {21,59}, {11,32}, {4,56}, {3,31}, {23,39}, {10,43}, {27,36}, {29,41}, {26,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,62}, {11,58}, {14,32}, {9,37}, {17,53}, {25,47}, {30,61}, {22,46}, {4,33}, {15,40}, {21,34}, {30,57}, {8,56}, {16,60}, {19,32}, {7,37}, {27,33}, {3,43}, {16,48}, {14,36}, {7,42}, {17,46}, {24,50}, {11,50}, {9,54}, {12,47}, {21,56}, {12,49}, {2,51}, {1,35}, {26,35}, {2,58}, {20,61}, {29,46}, {28,60}, {7,36}, {7,43}, {11,45}, {8,33}, {8,62}, {13,50}, {9,44}, {14,59}, {19,57}, {13,35}, {8,55}, {17,36}, {18,44}, {30,36}, {30,55}, {15,36}, {10,36}, {12,61}, {27,59}, {28,37}, {2,62}, {13,46}, {25,52}, {29,45}, {24,34}, {24,61}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {25,36}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {27,47}, {23,48}, {20,38}, {30,33}, {27,40}, {24,57}, {26,34}, {1,43}, {15,46}, {4,61}, {26,48}, {5,48}, {25,59}, {14,31}, {8,45}, {7,46}, {11,62}, {11,57}, {11,33}, {1,34}, {22,40}, {2,61}, {24,35}, {13,37}, {24,31}, {6,46}, {21,54}, {19,43}, {10,57}, {5,40}, {3,46}, {22,36}, {24,42}, {26,40}, {1,40}, {28,35}, {1,48}, {8,51}, {14,57}, {3,60}, {6,32}, {15,31}, {24,47}, {10,35}, {9,47}, {10,59}, {6,55}, {27,46}, {4,32}, {29,59}, {19,39}, {12,59}, {21,53}, {5,41}, {13,41}, {4,55}, {18,39}, {9,48}, {3,38}, {14,34}, {30,49}, {19,55}, {1,47}, {6,51}, {3,59}, {9,33}, {29,34}, {15,38}, {7,38}, {22,39}, {8,32}, {23,40}, {12,53}, {5,31}, {29,43}, {10,38}, {10,60}, {18,33}, {21,33}, {6,54}, {23,55}, {10,34}, {21,47}, {25,39}, {5,49}, {28,34}, {13,39}, {11,43}, {3,52}, {28,38}, {20,51}, {2,53}, {28,48}, {19,42}, {26,62}, {17,34}, {24,46}, {18,56}, {1,45}, {9,61}, {29,58}, {12,51}, {20,34}, {7,44}, {27,44}, {17,52}, {19,59}, {11,46}, {11,54}, {10,39}, {28,51}, {22,50}, {27,52}, {15,49}, {16,39}, {30,42}, {1,38}, {5,37}, {7,41}, {3,44}, {14,44}, {25,50}, {12,60}, {23,62}, {25,54}, {1,36}, {18,40}, {17,57}, {24,32}, {20,48}, {9,45}, {21,58}, {13,52}, {18,45}, {2,46}, {12,34}, {11,55}, {29,48}, {15,41}, {4,50}, {16,44}, {2,50}, {21,52}, {23,59}, {16,58}, {7,39}, {10,56}, {14,60}, {25,57}, {1,33}, {6,33}, {14,55}, {29,39}, {15,52}, {24,38}, {26,56}, {10,40}, {29,53}, {19,62}, {30,52}, {15,32}, {14,38}, {27,39}, {7,58}, {20,56}, {13,56}, {19,46}, {8,48}, {11,40}, {13,42}, {25,31}, {9,32}, {16,53}, {3,58}, {30,35}, {17,55}, {21,32}, {20,47}, {14,58}, {28,55}, {16,45}, {13,47}, {23,37}, {2,54}, {3,40}, {16,59}, {27,43}, {12,36}, {27,31}, {22,44}, {28,53}, {26,51}, {15,56}, {18,41}, {23,43}, {23,36}, {5,57}, {22,43}, {4,53}, {12,37}, {29,31}, {25,55}, {24,41}, {12,31}, {16,47}, {20,36}, {20,45}, {13,45}, {29,62}, {4,37}, {22,57}, {10,62}, {4,35}, {20,53}, {17,62}, {30,47}, {17,47}, {8,50}, {21,38}, {24,60}, {6,59}, {4,36} }; // ETB62.11 // Bipartite(30,32) Valencies [16,15] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 23040 EdgesBipt[62][11]:={ {7,49}, {26,54}, {30,37}, {30,54}, {11,42}, {7,61}, {30,43}, {17,61}, {24,59}, {25,42}, {7,47}, {26,33}, {10,61}, {3,49}, {14,49}, {18,58}, {8,31}, {6,60}, {22,55}, {17,54}, {2,57}, {18,51}, {25,62}, {3,47}, {6,48}, {11,52}, {3,55}, {22,56}, {28,50}, {2,39}, {7,53}, {7,62}, {15,50}, {1,32}, {8,36}, {22,61}, {13,43}, {23,56}, {15,33}, {24,52}, {19,58}, {16,54}, {5,61}, {12,32}, {29,42}, {1,41}, {23,54}, {3,54}, {10,55}, {21,35}, {29,61}, {2,52}, {4,52}, {19,49}, {19,60}, {4,38}, {1,49}, {11,39}, {24,39}, {7,54}, {4,34}, {26,46}, {7,60}, {13,48}, {13,62}, {29,57}, {18,37}, {29,50}, {25,32}, {14,40}, {21,46}, {24,36}, {14,33}, {11,35}, {25,51}, {8,52}, {16,61}, {28,43}, {5,47}, {5,55}, {30,56}, {17,42}, {21,57}, {11,47}, {18,50}, {12,48}, {28,44}, {19,40}, {10,51}, {15,51}, {28,49}, {14,61}, {27,32}, {25,56}, {25,41}, {7,59}, {2,37}, {9,50}, {25,61}, {28,57}, {1,31}, {2,59}, {17,32}, {27,62}, {26,58}, {23,33}, {3,48}, {8,57}, {13,54}, {29,38}, {8,39}, {20,54}, {15,43}, {29,51}, {27,56}, {2,36}, {12,38}, {26,44}, {14,51}, {3,51}, {5,46}, {16,42}, {12,44}, {8,35}, {2,60}, {18,59}, {1,50}, {9,31}, {20,39}, {5,33}, {27,41}, {6,57}, {12,56}, {29,32}, {6,39}, {24,43}, {17,48}, {26,60}, {16,34}, {10,48}, {22,41}, {19,31}, {30,40}, {20,43}, {4,44}, {5,36}, {14,53}, {26,43}, {5,38}, {22,60}, {14,50}, {28,52}, {6,52}, {21,37}, {3,50}, {27,51}, {26,37}, {14,35}, {16,62}, {4,56}, {3,31}, {2,47}, {27,60}, {24,58}, {15,57}, {29,41}, {26,49}, {2,56}, {21,51}, {21,40}, {5,51}, {29,60}, {16,55}, {21,62}, {14,32}, {9,37}, {27,38}, {26,52}, {17,53}, {25,47}, {24,49}, {11,41}, {19,44}, {8,34}, {23,46}, {4,33}, {21,34}, {2,55}, {1,44}, {22,38}, {30,62}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {27,33}, {7,42}, {4,58}, {24,50}, {11,50}, {6,43}, {9,54}, {11,53}, {2,51}, {12,49}, {6,37}, {28,40}, {26,35}, {2,58}, {23,32}, {20,61}, {29,46}, {9,39}, {14,37}, {22,33}, {11,45}, {8,33}, {24,53}, {14,59}, {22,59}, {9,42}, {19,57}, {30,53}, {8,55}, {1,54}, {27,45}, {26,39}, {9,35}, {20,62}, {30,36}, {30,55}, {28,37}, {13,46}, {9,43}, {6,53}, {29,45}, {16,46}, {9,59}, {24,34}, {27,54}, {4,40}, {16,36}, {12,54}, {11,61}, {6,45}, {18,43}, {7,40}, {4,62}, {6,44}, {25,36}, {2,42}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {27,47}, {4,42}, {23,48}, {3,53}, {20,38}, {30,33}, {5,34}, {1,43}, {13,36}, {26,59}, {29,44}, {4,61}, {9,40}, {14,31}, {8,45}, {20,37}, {5,59}, {11,62}, {11,33}, {5,58}, {1,34}, {2,61}, {24,31}, {10,53}, {21,54}, {12,57}, {23,44}, {6,56}, {5,40}, {24,62}, {3,46}, {28,61}, {22,36}, {24,42}, {6,50}, {1,40}, {17,31}, {1,48}, {15,44}, {23,41}, {8,51}, {25,40}, {19,36}, {3,60}, {17,44}, {28,59}, {3,57}, {6,32}, {17,35}, {15,31}, {9,47}, {18,36}, {4,32}, {15,58}, {29,59}, {12,59}, {21,53}, {15,35}, {5,41}, {13,41}, {15,48}, {19,33}, {25,48}, {23,60}, {30,49}, {19,55}, {16,40}, {3,59}, {29,34}, {20,35}, {15,38}, {7,38}, {22,39}, {8,32}, {23,40}, {5,31}, {10,60}, {18,33}, {30,58}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {5,49}, {28,34}, {11,43}, {20,51}, {2,53}, {28,48}, {19,42}, {27,58}, {19,50}, {17,34}, {6,62}, {13,55}, {1,62}, {18,46}, {18,56}, {1,45}, {16,56}, {17,39}, {6,42}, {13,38}, {13,57}, {12,51}, {20,34}, {7,44}, {25,34}, {17,52}, {11,46}, {3,41}, {10,33}, {17,49}, {19,47}, {23,57}, {13,34}, {14,56}, {26,38}, {22,50}, {16,39}, {1,38}, {7,41}, {14,44}, {25,50}, {12,60}, {20,59}, {18,40}, {20,48}, {14,39}, {21,58}, {13,52}, {18,45}, {29,52}, {3,39}, {10,41}, {13,58}, {23,35}, {11,55}, {12,34}, {15,41}, {19,45}, {21,52}, {8,43}, {10,56}, {9,38}, {10,44}, {25,57}, {1,33}, {15,52}, {28,46}, {24,38}, {9,36}, {23,61}, {8,46}, {20,41}, {18,57}, {27,39}, {7,58}, {20,56}, {8,48}, {11,40}, {13,42}, {9,57}, {25,31}, {14,45}, {5,35}, {3,45}, {4,43}, {24,45}, {16,32}, {9,32}, {18,62}, {17,55}, {21,32}, {22,31}, {28,55}, {30,31}, {16,45}, {30,48}, {7,50}, {28,36}, {13,47}, {23,37}, {10,45}, {15,53}, {21,49}, {20,46}, {16,59}, {22,42}, {12,36}, {27,31}, {22,44}, {28,53}, {27,35}, {23,47}, {18,41}, {22,43}, {16,49}, {12,37}, {10,58}, {13,60}, {27,42}, {12,31}, {15,47}, {29,35}, {26,55}, {30,39}, {26,45}, {4,37}, {10,62}, {4,35}, {2,35}, {20,53}, {30,47}, {25,53}, {17,47}, {10,49}, {4,36} }; // ETB62.12 // Bipartite(30,32) Valencies [16,15] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 189400365058979172188160000000000 EdgesBipt[62][12]:={ {24,34}, {15,33}, {7,48}, {6,38}, {30,54}, {15,59}, {8,57}, {14,36}, {6,59}, {11,49}, {5,38}, {23,53}, {25,47}, {27,59}, {5,45}, {2,60}, {22,40}, {25,40}, {1,40}, {17,42}, {13,39}, {26,49}, {28,44}, {3,61}, {10,62}, {17,33}, {8,40}, {16,58}, {5,57}, {3,35}, {11,57}, {24,54}, {27,33}, {21,41}, {11,53}, {2,49}, {14,56}, {26,37}, {14,45}, {3,39}, {20,37}, {1,35}, {30,59}, {15,41}, {26,61}, {28,52}, {2,61}, {4,40}, {20,52}, {13,43}, {6,58}, {14,57}, {10,48}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {21,53}, {10,56}, {15,57}, {10,42}, {24,58}, {19,40}, {19,31}, {16,42}, {16,48}, {1,52}, {2,52}, {23,45}, {20,61}, {7,59}, {23,38}, {12,46}, {9,33}, {13,59}, {28,50}, {29,33}, {8,37}, {9,57}, {29,57}, {24,46}, {5,41}, {8,52}, {16,60}, {12,38}, {20,49}, {23,54}, {4,58}, {17,62}, {12,42}, {6,39}, {23,61}, {22,42}, {12,31}, {19,48}, {13,47}, {2,48}, {18,58}, {5,37}, {19,52}, {27,41}, {24,50}, {24,47}, {13,55}, {18,35}, {24,31}, {9,35}, {1,36}, {23,42}, {16,34}, {13,51}, {2,56}, {6,46}, {23,58}, {15,45}, {7,56}, {18,39}, {26,52}, {29,49}, {27,61}, {27,53}, {18,62}, {9,47}, {5,50}, {5,34}, {18,47}, {18,46}, {14,32}, {2,36}, {8,49}, {20,36}, {25,52}, {16,40}, {28,60}, {26,36}, {22,34}, {22,58}, {6,34}, {1,43}, {9,39}, {4,62}, {30,38}, {5,54}, {6,51}, {18,59}, {3,43}, {21,55}, {20,41}, {27,45}, {9,59}, {3,47}, {27,39}, {28,40}, {7,32}, {7,60}, {19,56}, {1,31}, {3,31}, {19,47}, {3,51}, {18,55}, {1,39}, {11,42}, {5,53}, {17,57}, {30,31}, {28,42}, {30,55}, {8,48}, {26,41}, {27,57}, {14,60}, {4,32}, {25,44}, {4,60}, {2,44}, {21,45}, {8,56}, {21,61}, {12,47}, {1,55}, {18,51}, {30,47}, {13,48}, {3,55}, {9,51}, {1,47}, {22,48}, {21,47}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {10,58}, {11,33}, {22,56}, {8,60}, {9,55}, {17,58}, {30,51}, {21,31}, {25,59}, {8,41}, {27,37}, {24,55}, {17,54}, {18,38}, {21,37}, {28,48}, {8,45}, {3,59}, {28,34}, {11,58}, {13,36}, {29,61}, {26,44}, {12,55}, {1,51}, {1,59}, {21,57}, {25,32}, {18,54}, {24,39}, {5,61}, {11,34}, {24,59}, {7,35}, {11,46}, {16,56}, {22,44}, {9,31}, {10,44}, {17,46}, {15,53}, {13,56}, {22,50}, {11,61}, {13,31}, {24,38}, {8,53}, {19,55}, {20,44}, {25,31}, {14,52}, {17,61}, {4,50}, {11,62}, {15,61}, {4,34}, {17,38}, {15,35}, {29,38}, {6,31}, {27,51}, {11,54}, {10,52}, {22,62}, {27,35}, {14,37}, {1,44}, {15,49}, {24,35}, {10,54}, {21,59}, {18,31}, {19,44}, {14,40}, {1,48}, {24,43}, {9,41}, {7,39}, {3,41}, {23,34}, {4,36}, {15,39}, {1,32}, {22,52}, {21,39}, {7,52}, {20,60}, {28,32}, {6,43}, {8,32}, {24,51}, {26,48}, {20,48}, {26,53}, {16,44}, {4,44}, {29,54}, {21,49}, {7,40}, {2,41}, {17,41}, {12,50}, {12,43}, {20,32}, {3,53}, {29,41}, {17,50}, {10,40}, {29,45}, {1,60}, {23,37}, {30,62}, {29,37}, {29,42}, {23,57}, {22,38}, {8,36}, {13,44}, {2,45}, {5,46}, {6,47}, {25,43}, {3,33}, {16,36}, {13,32}, {10,50}, {9,61}, {28,62}, {27,49}, {19,59}, {19,39}, {29,58}, {30,35}, {19,43}, {7,55}, {20,57}, {16,46}, {27,47}, {26,60}, {4,46}, {19,60}, {25,36}, {25,39}, {16,38}, {12,62}, {11,45}, {21,33}, {5,58}, {20,53}, {3,45}, {2,53}, {29,53}, {7,47}, {2,37}, {4,42}, {16,50}, {27,55}, {7,31}, {8,33}, {23,62}, {12,39}, {12,58}, {2,57}, {28,54}, {17,34}, {6,54}, {3,57}, {21,35}, {28,36}, {15,55}, {15,47}, {14,49}, {7,51}, {20,33}, {19,35}, {11,41}, {26,32}, {30,34}, {13,35}, {21,43}, {23,49}, {28,56}, {29,46}, {14,61}, {12,34}, {30,50}, {8,44}, {19,36}, {26,57}, {6,42}, {21,51}, {19,32}, {16,62}, {18,43}, {15,51}, {23,46}, {5,49}, {1,56}, {20,45}, {10,60}, {11,37}, {23,33}, {29,50}, {10,34}, {17,53}, {13,60}, {8,61}, {2,40}, {17,45}, {9,45}, {12,59}, {14,41}, {18,50}, {16,54}, {22,46}, {17,37}, {20,56}, {16,52}, {28,38}, {5,42}, {23,50}, {24,62}, {25,35}, {15,31}, {30,46}, {6,55}, {5,62}, {7,44}, {9,49}, {7,43}, {6,62}, {19,51}, {24,42}, {26,40}, {27,43}, {20,40}, {22,54}, {12,54}, {9,53}, {4,52}, {22,36}, {9,43}, {26,33}, {14,53}, {29,62}, {27,31}, {3,37}, {22,32}, {23,41}, {25,55}, {28,58}, {30,43}, {15,43}, {10,32}, {25,60}, {25,48}, {12,35}, {7,36}, {6,35}, {29,34}, {11,50}, {22,60}, {13,52}, {6,50}, {14,48}, {26,56}, {30,39}, {30,42}, {18,42}, {16,32}, {4,48}, {26,45}, {2,32}, {18,34}, {12,51}, {17,49}, {25,56}, {5,33}, {4,56}, {4,54}, {30,58}, {11,38}, {28,46}, {9,37}, {25,51} }; // ETB62.13 // Bipartite(30,32) Valencies [16,15] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15776790092376440832000000 EdgesBipt[62][13]:={ {7,49}, {26,54}, {26,50}, {13,40}, {30,37}, {30,54}, {4,46}, {20,33}, {17,61}, {19,41}, {25,42}, {22,37}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {4,60}, {20,50}, {7,57}, {10,61}, {3,49}, {14,49}, {5,32}, {18,58}, {12,42}, {30,45}, {2,57}, {3,47}, {6,48}, {3,55}, {10,54}, {18,38}, {1,32}, {8,36}, {22,61}, {28,54}, {23,56}, {9,49}, {15,33}, {19,58}, {16,54}, {5,43}, {5,61}, {22,51}, {12,32}, {5,56}, {1,41}, {14,54}, {21,35}, {25,58}, {29,61}, {20,42}, {2,38}, {23,53}, {23,45}, {2,52}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {8,44}, {25,49}, {26,46}, {13,48}, {18,37}, {25,32}, {28,45}, {9,41}, {17,43}, {17,45}, {14,33}, {11,35}, {11,31}, {11,37}, {8,38}, {8,52}, {16,61}, {26,57}, {28,43}, {5,47}, {5,55}, {30,56}, {16,51}, {21,57}, {11,47}, {18,50}, {12,48}, {20,57}, {28,44}, {1,55}, {24,48}, {19,40}, {15,59}, {10,51}, {15,51}, {5,53}, {18,54}, {25,56}, {4,59}, {25,41}, {17,51}, {1,31}, {2,41}, {6,58}, {11,48}, {17,32}, {21,44}, {26,58}, {20,44}, {5,45}, {27,57}, {8,57}, {18,53}, {20,58}, {20,54}, {22,45}, {7,34}, {9,55}, {15,43}, {29,51}, {2,36}, {12,38}, {13,33}, {26,44}, {30,34}, {22,62}, {14,62}, {3,51}, {18,42}, {8,58}, {2,60}, {6,40}, {1,50}, {9,31}, {27,41}, {21,55}, {12,56}, {29,32}, {16,43}, {2,44}, {17,48}, {26,60}, {1,42}, {8,49}, {19,31}, {4,45}, {11,56}, {30,40}, {4,44}, {20,60}, {24,54}, {21,36}, {7,31}, {22,60}, {14,50}, {8,60}, {28,52}, {27,51}, {2,34}, {15,55}, {16,62}, {21,59}, {11,32}, {3,31}, {23,39}, {10,43}, {27,60}, {24,58}, {27,36}, {15,57}, {26,49}, {20,49}, {20,52}, {16,35}, {21,51}, {5,51}, {25,33}, {26,52}, {17,53}, {25,47}, {30,61}, {22,46}, {9,52}, {8,34}, {12,50}, {18,34}, {22,38}, {30,62}, {16,60}, {12,58}, {19,32}, {27,33}, {3,43}, {18,48}, {3,36}, {14,36}, {7,42}, {24,50}, {11,53}, {6,37}, {23,32}, {2,58}, {28,60}, {9,39}, {10,46}, {11,45}, {8,33}, {29,47}, {8,62}, {13,50}, {9,44}, {15,60}, {24,53}, {22,59}, {19,57}, {30,38}, {30,53}, {16,37}, {13,32}, {9,35}, {20,62}, {12,45}, {15,36}, {10,36}, {12,61}, {27,59}, {8,41}, {28,37}, {2,62}, {9,43}, {11,51}, {6,53}, {29,45}, {16,46}, {9,59}, {24,34}, {24,61}, {16,36}, {12,54}, {11,61}, {29,40}, {1,39}, {6,45}, {7,40}, {17,37}, {4,62}, {10,37}, {22,52}, {2,42}, {10,52}, {7,55}, {12,62}, {27,47}, {23,48}, {21,43}, {20,38}, {14,41}, {9,60}, {26,34}, {29,56}, {28,62}, {3,35}, {4,61}, {5,48}, {5,59}, {1,34}, {30,50}, {24,37}, {10,53}, {6,46}, {2,49}, {14,46}, {6,56}, {5,40}, {24,62}, {28,61}, {22,36}, {24,42}, {11,59}, {6,50}, {1,40}, {28,35}, {19,56}, {17,31}, {1,48}, {15,44}, {25,40}, {14,57}, {3,60}, {16,52}, {3,57}, {28,59}, {6,32}, {17,35}, {2,33}, {15,31}, {10,35}, {9,47}, {17,59}, {10,59}, {29,59}, {19,39}, {15,35}, {13,41}, {8,54}, {19,33}, {25,48}, {14,34}, {19,55}, {26,41}, {1,47}, {3,59}, {9,33}, {8,42}, {4,54}, {23,40}, {12,53}, {13,31}, {5,31}, {29,43}, {4,51}, {10,38}, {10,60}, {21,33}, {30,58}, {6,54}, {1,56}, {23,55}, {21,47}, {25,39}, {7,48}, {14,52}, {13,39}, {11,43}, {3,52}, {28,38}, {24,56}, {19,42}, {26,62}, {19,50}, {6,62}, {13,55}, {18,46}, {24,46}, {23,51}, {18,56}, {17,39}, {6,42}, {7,32}, {26,36}, {22,54}, {13,57}, {20,34}, {25,34}, {27,44}, {30,32}, {3,41}, {15,39}, {19,47}, {13,34}, {28,51}, {26,38}, {27,52}, {15,49}, {30,42}, {5,37}, {7,41}, {3,44}, {14,44}, {25,50}, {18,40}, {24,32}, {14,42}, {6,61}, {18,45}, {2,46}, {3,39}, {7,56}, {13,58}, {23,35}, {11,55}, {12,34}, {29,48}, {15,41}, {16,44}, {23,31}, {2,50}, {21,52}, {23,59}, {7,39}, {14,60}, {9,51}, {10,44}, {25,57}, {1,33}, {29,39}, {15,52}, {28,46}, {24,38}, {19,48}, {9,36}, {29,53}, {27,49}, {29,37}, {21,41}, {12,40}, {17,40}, {23,61}, {8,46}, {20,41}, {14,38}, {27,39}, {7,58}, {13,56}, {6,38}, {11,40}, {13,42}, {9,57}, {25,31}, {5,35}, {4,43}, {29,55}, {24,45}, {18,62}, {16,53}, {18,32}, {24,40}, {17,55}, {26,42}, {14,58}, {16,45}, {30,48}, {22,35}, {7,50}, {5,39}, {19,34}, {28,36}, {13,47}, {23,37}, {10,45}, {2,54}, {21,49}, {20,46}, {27,43}, {16,59}, {27,31}, {22,44}, {13,49}, {28,53}, {21,39}, {18,61}, {3,33}, {27,35}, {1,57}, {23,47}, {23,43}, {16,38}, {22,43}, {4,53}, {12,37}, {29,31}, {25,55}, {7,33}, {20,36}, {15,47}, {29,35}, {21,60}, {4,37}, {10,62}, {4,35}, {17,47}, {8,50}, {30,46}, {12,46}, {4,36}, {1,58} }; // ETB62.14 // Bipartite(30,32) Valencies [16,15] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7608405715845120 EdgesBipt[62][14]:={ {24,34}, {15,33}, {6,52}, {18,45}, {6,38}, {11,40}, {10,37}, {15,38}, {8,57}, {11,49}, {9,32}, {5,38}, {26,46}, {5,56}, {16,51}, {23,53}, {25,47}, {27,59}, {11,59}, {25,57}, {2,60}, {1,49}, {25,40}, {13,37}, {1,40}, {13,39}, {28,44}, {15,44}, {11,43}, {15,54}, {10,62}, {14,50}, {8,40}, {16,58}, {5,57}, {3,35}, {20,46}, {29,48}, {16,55}, {28,61}, {14,56}, {2,49}, {17,56}, {10,39}, {26,37}, {14,45}, {16,37}, {3,39}, {15,56}, {20,37}, {20,58}, {4,51}, {30,59}, {29,39}, {15,41}, {2,61}, {4,37}, {4,40}, {6,58}, {14,57}, {10,48}, {27,56}, {27,54}, {2,33}, {17,35}, {24,56}, {3,49}, {15,57}, {10,42}, {19,31}, {22,37}, {26,38}, {12,48}, {21,40}, {16,42}, {2,52}, {20,61}, {7,59}, {20,43}, {8,46}, {26,39}, {24,46}, {5,41}, {17,39}, {29,44}, {26,55}, {23,31}, {17,59}, {17,62}, {12,42}, {6,39}, {14,62}, {23,36}, {22,42}, {3,52}, {19,48}, {27,50}, {13,47}, {5,60}, {2,48}, {18,58}, {20,39}, {29,55}, {19,52}, {24,50}, {21,50}, {26,35}, {13,55}, {24,45}, {19,42}, {12,37}, {13,51}, {6,46}, {7,56}, {26,52}, {28,43}, {8,38}, {18,57}, {20,55}, {29,31}, {17,47}, {18,62}, {9,47}, {12,52}, {4,49}, {18,46}, {29,47}, {2,36}, {25,52}, {28,60}, {20,42}, {26,36}, {1,61}, {24,37}, {22,58}, {9,36}, {1,43}, {12,49}, {9,39}, {8,42}, {4,62}, {7,54}, {5,54}, {6,51}, {29,32}, {4,61}, {10,59}, {18,59}, {18,56}, {24,41}, {14,46}, {9,59}, {30,61}, {24,40}, {26,42}, {14,35}, {3,47}, {27,39}, {28,40}, {27,40}, {19,38}, {1,31}, {3,31}, {19,47}, {25,33}, {3,51}, {13,49}, {9,58}, {5,35}, {14,34}, {28,42}, {3,36}, {30,55}, {11,60}, {26,41}, {25,44}, {22,49}, {2,44}, {21,45}, {8,56}, {21,61}, {6,36}, {23,39}, {29,52}, {24,53}, {4,53}, {13,48}, {3,55}, {1,47}, {22,48}, {21,47}, {26,51}, {16,57}, {14,33}, {10,46}, {10,58}, {11,33}, {8,60}, {9,55}, {17,51}, {21,31}, {11,48}, {10,55}, {4,41}, {9,38}, {8,41}, {17,54}, {18,38}, {7,46}, {8,45}, {29,59}, {17,31}, {10,61}, {29,36}, {13,36}, {4,45}, {1,59}, {13,53}, {9,54}, {12,41}, {18,54}, {26,54}, {11,44}, {8,59}, {23,48}, {25,49}, {11,34}, {17,55}, {7,35}, {15,60}, {5,52}, {27,34}, {4,33}, {7,50}, {22,44}, {7,34}, {4,57}, {9,31}, {25,41}, {15,52}, {17,46}, {23,51}, {13,50}, {11,61}, {23,35}, {13,31}, {20,62}, {19,55}, {3,32}, {18,44}, {26,62}, {22,45}, {16,41}, {25,31}, {5,40}, {4,50}, {23,47}, {21,60}, {12,45}, {4,34}, {17,38}, {15,35}, {29,38}, {28,45}, {11,32}, {22,53}, {9,52}, {27,51}, {30,48}, {21,32}, {15,40}, {22,57}, {27,35}, {14,37}, {1,44}, {15,49}, {24,35}, {21,59}, {19,44}, {14,40}, {1,48}, {25,38}, {20,59}, {7,39}, {23,34}, {22,41}, {1,32}, {9,44}, {22,52}, {30,32}, {6,37}, {24,51}, {6,57}, {5,31}, {20,48}, {26,53}, {18,61}, {29,54}, {21,49}, {7,40}, {2,41}, {20,32}, {3,53}, {17,50}, {18,41}, {1,60}, {27,46}, {23,37}, {30,62}, {11,56}, {29,42}, {24,49}, {2,45}, {23,52}, {29,60}, {3,48}, {3,33}, {16,36}, {13,32}, {1,45}, {30,45}, {10,50}, {20,50}, {23,32}, {28,62}, {14,51}, {19,59}, {3,50}, {19,39}, {3,34}, {16,53}, {29,58}, {19,43}, {7,55}, {16,46}, {11,47}, {27,47}, {4,46}, {19,60}, {25,36}, {8,43}, {12,61}, {16,38}, {11,45}, {1,33}, {21,33}, {20,53}, {8,58}, {12,36}, {2,53}, {12,44}, {7,47}, {24,57}, {2,37}, {12,53}, {27,55}, {30,53}, {23,55}, {21,34}, {7,31}, {12,33}, {5,47}, {12,58}, {2,57}, {28,54}, {17,34}, {6,54}, {15,47}, {14,49}, {7,51}, {22,33}, {11,31}, {21,44}, {12,60}, {5,51}, {13,34}, {1,34}, {30,34}, {13,35}, {21,43}, {6,41}, {23,49}, {28,56}, {10,53}, {24,61}, {14,61}, {17,40}, {30,50}, {9,60}, {8,44}, {19,36}, {26,57}, {19,58}, {6,42}, {4,35}, {21,48}, {19,32}, {16,62}, {13,33}, {18,43}, {15,51}, {5,49}, {28,57}, {1,56}, {20,34}, {20,45}, {1,50}, {23,33}, {16,35}, {10,34}, {8,61}, {10,45}, {8,54}, {21,56}, {14,41}, {12,57}, {16,54}, {16,39}, {16,52}, {28,38}, {7,38}, {23,50}, {12,32}, {15,36}, {24,62}, {25,35}, {27,62}, {10,43}, {15,31}, {8,62}, {30,46}, {6,55}, {6,53}, {28,59}, {7,43}, {18,40}, {6,62}, {27,43}, {18,60}, {5,44}, {25,54}, {22,36}, {9,43}, {14,53}, {27,31}, {3,37}, {22,32}, {9,42}, {28,58}, {30,43}, {5,36}, {24,33}, {10,32}, {25,60}, {29,43}, {6,35}, {11,50}, {22,60}, {28,41}, {13,52}, {17,43}, {26,58}, {2,42}, {30,39}, {30,42}, {30,37}, {18,42}, {22,61}, {2,32}, {7,62}, {25,56}, {9,48}, {19,54}, {5,33}, {2,58}, {4,56}, {30,58}, {28,46}, {25,51}, {27,38} }; // ETB62.15 // Bipartite(30,32) Valencies [16,15] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 232190115840 EdgesBipt[62][15]:={ {26,53}, {3,42}, {26,54}, {30,54}, {30,37}, {13,40}, {14,48}, {24,59}, {19,41}, {30,59}, {22,53}, {28,56}, {17,56}, {20,50}, {10,61}, {22,49}, {18,58}, {5,52}, {22,55}, {6,60}, {30,45}, {17,54}, {2,57}, {3,47}, {11,34}, {28,50}, {10,54}, {2,39}, {1,32}, {22,61}, {28,54}, {18,49}, {9,49}, {15,33}, {24,52}, {16,54}, {5,43}, {22,51}, {29,42}, {21,35}, {25,58}, {20,42}, {23,45}, {4,52}, {19,49}, {19,60}, {1,49}, {11,39}, {24,39}, {21,31}, {7,54}, {19,38}, {25,49}, {13,51}, {26,46}, {26,47}, {29,57}, {29,50}, {10,42}, {14,40}, {9,41}, {17,43}, {23,34}, {17,45}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {11,37}, {8,52}, {28,43}, {30,56}, {5,55}, {16,51}, {17,42}, {28,58}, {21,57}, {30,60}, {18,50}, {20,57}, {11,36}, {19,54}, {1,55}, {24,48}, {10,51}, {30,51}, {5,53}, {28,49}, {14,61}, {27,32}, {18,54}, {4,59}, {25,41}, {7,59}, {9,50}, {9,53}, {28,57}, {1,31}, {2,41}, {6,58}, {11,48}, {17,32}, {26,58}, {23,33}, {8,57}, {18,53}, {29,38}, {20,54}, {15,43}, {27,56}, {2,36}, {13,33}, {26,44}, {30,34}, {20,32}, {22,62}, {14,62}, {14,51}, {3,51}, {5,46}, {18,55}, {16,42}, {12,44}, {8,58}, {2,60}, {18,59}, {6,40}, {24,44}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {21,55}, {29,32}, {22,47}, {10,50}, {2,44}, {17,48}, {26,60}, {8,49}, {19,31}, {22,41}, {4,45}, {11,56}, {4,44}, {20,60}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {5,38}, {22,60}, {1,37}, {8,60}, {28,52}, {6,52}, {21,37}, {25,38}, {2,34}, {15,55}, {14,35}, {12,41}, {16,62}, {11,32}, {4,56}, {3,31}, {2,47}, {23,39}, {24,58}, {25,46}, {29,41}, {29,60}, {25,33}, {27,38}, {26,52}, {30,61}, {24,55}, {8,61}, {18,52}, {15,40}, {21,34}, {2,55}, {11,49}, {30,62}, {30,57}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {18,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {9,54}, {11,50}, {12,47}, {21,56}, {12,49}, {2,51}, {3,37}, {1,35}, {23,32}, {2,58}, {20,61}, {29,46}, {28,60}, {21,61}, {14,37}, {22,33}, {7,43}, {29,47}, {8,62}, {14,59}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {13,32}, {27,45}, {20,62}, {15,36}, {12,61}, {27,59}, {2,62}, {9,43}, {17,50}, {6,53}, {25,52}, {16,46}, {27,48}, {29,33}, {27,54}, {4,40}, {24,61}, {23,38}, {11,61}, {1,39}, {18,43}, {6,45}, {7,40}, {17,37}, {4,62}, {10,37}, {25,36}, {6,44}, {18,60}, {9,46}, {24,51}, {12,62}, {7,35}, {21,43}, {27,40}, {9,60}, {1,43}, {15,46}, {28,62}, {13,36}, {26,59}, {3,35}, {4,61}, {5,48}, {7,46}, {6,47}, {20,37}, {11,57}, {11,33}, {5,58}, {1,34}, {30,50}, {2,61}, {24,35}, {13,37}, {24,37}, {6,46}, {2,49}, {12,57}, {23,44}, {19,43}, {10,57}, {5,40}, {24,62}, {28,61}, {22,36}, {26,40}, {17,31}, {1,48}, {15,44}, {23,41}, {25,40}, {9,34}, {16,41}, {16,52}, {28,59}, {2,33}, {17,35}, {15,31}, {9,47}, {17,59}, {10,59}, {27,46}, {15,58}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {3,34}, {3,38}, {25,48}, {13,44}, {16,40}, {26,41}, {6,51}, {9,33}, {29,34}, {15,38}, {7,38}, {22,39}, {1,61}, {7,52}, {23,40}, {12,53}, {13,31}, {5,31}, {29,43}, {4,51}, {10,60}, {21,33}, {17,38}, {6,54}, {1,56}, {10,34}, {7,48}, {14,52}, {5,49}, {13,39}, {11,43}, {29,54}, {20,51}, {2,53}, {28,48}, {24,56}, {19,42}, {26,62}, {19,50}, {6,62}, {18,46}, {23,51}, {18,56}, {6,42}, {7,32}, {13,38}, {12,51}, {20,34}, {17,52}, {30,32}, {3,41}, {10,39}, {19,47}, {13,34}, {14,56}, {26,38}, {27,52}, {15,49}, {30,42}, {25,43}, {29,49}, {3,44}, {14,44}, {12,60}, {20,59}, {1,36}, {14,39}, {19,53}, {3,39}, {7,56}, {23,35}, {11,55}, {12,34}, {15,41}, {16,44}, {23,31}, {4,48}, {8,43}, {16,58}, {10,56}, {9,38}, {27,37}, {1,33}, {14,55}, {22,34}, {15,52}, {28,46}, {29,53}, {17,40}, {7,45}, {8,46}, {18,57}, {20,56}, {25,35}, {6,38}, {8,48}, {19,46}, {13,42}, {9,57}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {24,45}, {9,32}, {16,53}, {18,62}, {25,44}, {24,40}, {21,32}, {26,42}, {20,47}, {14,58}, {28,55}, {22,58}, {16,45}, {7,50}, {19,34}, {13,47}, {23,37}, {10,45}, {23,42}, {15,53}, {21,49}, {3,40}, {16,59}, {27,43}, {12,36}, {27,31}, {22,44}, {28,53}, {26,51}, {21,39}, {18,61}, {3,33}, {27,35}, {1,57}, {23,47}, {27,50}, {23,36}, {16,38}, {29,31}, {27,42}, {25,55}, {16,47}, {20,45}, {13,45}, {30,39}, {26,45}, {4,37}, {22,57}, {10,62}, {4,35}, {10,47}, {30,47}, {10,32}, {25,53}, {8,50}, {6,59}, {12,55}, {8,53}, {6,41}, {4,36} }; // ETB62.16 // Bipartite(30,32) Valencies [16,15] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21139292160 EdgesBipt[62][16]:={ {3,42}, {26,54}, {30,37}, {7,61}, {20,33}, {17,61}, {24,59}, {25,42}, {22,37}, {7,47}, {22,53}, {28,56}, {27,55}, {27,61}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {18,58}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {25,62}, {9,58}, {6,48}, {11,52}, {22,56}, {28,50}, {7,53}, {18,38}, {7,62}, {15,50}, {1,32}, {19,51}, {28,54}, {13,43}, {19,37}, {23,56}, {18,49}, {15,62}, {15,33}, {16,57}, {22,51}, {30,44}, {5,56}, {23,50}, {23,54}, {3,54}, {14,54}, {21,35}, {25,58}, {2,52}, {6,34}, {21,31}, {7,54}, {16,33}, {19,38}, {25,49}, {13,51}, {4,34}, {7,60}, {13,62}, {26,47}, {18,37}, {29,50}, {25,32}, {28,45}, {14,40}, {9,41}, {17,43}, {21,46}, {23,58}, {23,34}, {5,62}, {17,45}, {14,33}, {11,35}, {26,57}, {28,43}, {5,47}, {5,55}, {21,57}, {30,60}, {20,57}, {11,36}, {19,54}, {1,55}, {24,48}, {19,40}, {15,51}, {30,51}, {28,49}, {18,54}, {4,59}, {2,37}, {25,45}, {9,53}, {25,61}, {8,40}, {1,31}, {2,59}, {17,32}, {6,35}, {21,44}, {27,62}, {26,58}, {4,41}, {18,53}, {13,54}, {8,39}, {27,56}, {2,36}, {12,38}, {11,44}, {14,51}, {26,32}, {5,46}, {18,42}, {18,55}, {16,42}, {12,44}, {15,34}, {8,58}, {2,60}, {18,59}, {11,38}, {24,44}, {9,31}, {20,39}, {5,33}, {12,56}, {25,60}, {8,47}, {6,39}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {23,52}, {16,34}, {10,48}, {22,41}, {20,43}, {24,54}, {12,39}, {7,31}, {14,53}, {5,38}, {28,52}, {27,51}, {3,50}, {2,34}, {14,35}, {12,41}, {6,49}, {4,56}, {27,36}, {25,46}, {20,49}, {21,51}, {21,40}, {29,60}, {16,55}, {21,62}, {25,33}, {9,37}, {26,52}, {25,47}, {11,41}, {9,52}, {8,34}, {8,61}, {23,46}, {4,33}, {18,52}, {21,34}, {1,44}, {22,38}, {11,49}, {30,62}, {30,57}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {27,33}, {18,48}, {17,46}, {4,58}, {24,50}, {26,31}, {21,56}, {2,51}, {28,40}, {3,37}, {1,35}, {26,35}, {2,58}, {23,32}, {20,61}, {29,46}, {7,36}, {21,61}, {14,37}, {20,31}, {13,50}, {24,53}, {9,42}, {21,50}, {30,53}, {13,35}, {8,55}, {27,45}, {17,36}, {12,45}, {30,55}, {15,36}, {10,36}, {1,60}, {12,61}, {13,46}, {9,43}, {17,50}, {11,51}, {29,33}, {9,59}, {24,34}, {4,40}, {23,38}, {16,36}, {12,54}, {29,40}, {1,39}, {18,43}, {6,45}, {10,37}, {6,44}, {22,52}, {2,42}, {9,46}, {10,52}, {15,37}, {7,55}, {4,42}, {23,48}, {3,53}, {27,40}, {24,57}, {1,43}, {15,46}, {29,56}, {1,52}, {1,59}, {4,49}, {29,44}, {26,48}, {5,48}, {25,59}, {9,40}, {14,31}, {8,45}, {7,46}, {20,37}, {11,62}, {11,57}, {11,33}, {30,41}, {22,40}, {2,61}, {24,37}, {24,31}, {10,53}, {13,59}, {12,57}, {23,44}, {19,43}, {10,57}, {5,40}, {3,46}, {28,61}, {22,36}, {16,31}, {11,59}, {28,31}, {6,50}, {1,40}, {19,56}, {1,48}, {16,41}, {16,52}, {3,57}, {28,59}, {6,32}, {15,31}, {24,47}, {9,47}, {17,59}, {18,36}, {6,55}, {27,46}, {4,32}, {29,59}, {12,59}, {15,35}, {5,41}, {26,61}, {15,48}, {3,34}, {18,39}, {3,38}, {25,48}, {2,43}, {23,60}, {9,62}, {26,41}, {1,47}, {6,51}, {29,34}, {20,35}, {8,42}, {8,32}, {7,38}, {22,39}, {7,52}, {23,40}, {13,31}, {5,31}, {29,43}, {4,51}, {10,60}, {18,33}, {30,58}, {6,54}, {1,56}, {21,47}, {5,49}, {28,34}, {13,39}, {11,43}, {28,38}, {20,51}, {2,53}, {27,58}, {17,34}, {13,55}, {17,39}, {13,38}, {26,36}, {22,54}, {7,44}, {17,52}, {19,59}, {11,46}, {9,56}, {30,32}, {11,54}, {3,41}, {10,33}, {13,34}, {14,56}, {26,38}, {22,50}, {27,52}, {15,49}, {16,39}, {30,42}, {25,43}, {29,49}, {14,44}, {12,60}, {20,59}, {23,62}, {1,36}, {17,57}, {24,32}, {14,42}, {6,61}, {19,53}, {10,41}, {13,58}, {19,45}, {16,44}, {4,50}, {2,50}, {17,41}, {4,48}, {19,61}, {16,58}, {7,39}, {10,56}, {14,60}, {10,44}, {6,33}, {29,39}, {22,34}, {15,52}, {16,50}, {24,38}, {19,48}, {9,36}, {10,40}, {29,53}, {19,62}, {27,49}, {29,37}, {21,41}, {12,40}, {7,45}, {20,41}, {15,32}, {14,38}, {27,39}, {6,38}, {8,48}, {19,46}, {13,42}, {9,57}, {25,31}, {3,45}, {4,43}, {1,51}, {29,55}, {3,58}, {30,35}, {25,44}, {18,32}, {26,42}, {17,55}, {20,47}, {14,58}, {30,48}, {22,35}, {5,39}, {12,43}, {28,36}, {13,47}, {10,45}, {23,42}, {15,53}, {26,51}, {3,33}, {27,35}, {20,55}, {23,36}, {5,57}, {16,49}, {27,42}, {24,41}, {16,47}, {15,47}, {20,45}, {21,60}, {30,39}, {29,62}, {26,45}, {22,57}, {3,61}, {28,33}, {4,35}, {28,47}, {2,35}, {20,53}, {17,62}, {10,32}, {8,50}, {24,60}, {12,55}, {11,60}, {8,53}, {10,49}, {30,46}, {5,54} }; // ETB62.17 // Bipartite(31,31) Valencies [16,16] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 19998720 EdgesBipt[62][17]:={ {3,42}, {7,49}, {26,54}, {26,50}, {30,54}, {11,42}, {14,48}, {7,61}, {4,46}, {17,61}, {19,41}, {25,42}, {7,47}, {28,56}, {26,33}, {27,55}, {4,60}, {10,61}, {3,49}, {3,62}, {14,49}, {5,32}, {18,58}, {14,47}, {6,60}, {18,51}, {25,62}, {9,58}, {6,48}, {22,56}, {15,54}, {10,54}, {7,53}, {18,38}, {15,50}, {1,32}, {8,36}, {22,61}, {13,43}, {19,37}, {15,62}, {5,43}, {13,61}, {16,57}, {22,51}, {12,32}, {5,56}, {29,42}, {23,54}, {10,55}, {21,35}, {20,42}, {2,38}, {2,52}, {23,45}, {31,37}, {6,34}, {4,38}, {1,49}, {7,54}, {16,33}, {19,38}, {8,44}, {13,51}, {4,34}, {26,46}, {7,60}, {13,48}, {13,62}, {31,38}, {29,50}, {15,45}, {25,32}, {28,45}, {23,58}, {11,35}, {3,32}, {8,59}, {8,52}, {16,61}, {26,57}, {28,43}, {5,47}, {30,56}, {17,42}, {28,58}, {30,60}, {12,48}, {11,36}, {28,44}, {19,40}, {15,59}, {10,51}, {28,42}, {5,53}, {14,61}, {25,56}, {17,51}, {31,52}, {14,43}, {25,61}, {28,57}, {8,40}, {2,41}, {11,48}, {6,35}, {17,32}, {5,50}, {27,62}, {5,45}, {27,57}, {31,44}, {21,42}, {4,41}, {31,35}, {18,53}, {13,54}, {29,38}, {22,32}, {20,54}, {22,45}, {2,36}, {12,38}, {11,44}, {14,62}, {3,51}, {18,42}, {18,55}, {15,34}, {12,44}, {8,58}, {18,59}, {1,50}, {20,39}, {5,33}, {27,41}, {6,57}, {12,56}, {29,32}, {22,47}, {16,43}, {8,47}, {2,44}, {2,45}, {23,52}, {26,60}, {1,42}, {8,49}, {10,48}, {28,39}, {31,39}, {31,49}, {4,44}, {20,60}, {5,36}, {21,36}, {14,53}, {26,43}, {22,60}, {1,37}, {8,60}, {28,52}, {6,52}, {26,37}, {2,34}, {31,58}, {14,35}, {16,62}, {23,39}, {2,47}, {10,43}, {27,60}, {24,58}, {25,46}, {15,57}, {29,41}, {26,49}, {20,40}, {16,35}, {21,51}, {5,51}, {29,60}, {16,55}, {21,62}, {25,33}, {11,58}, {9,37}, {27,38}, {31,53}, {24,49}, {30,61}, {11,41}, {22,46}, {24,55}, {9,52}, {8,34}, {23,46}, {12,50}, {18,52}, {15,40}, {21,34}, {18,34}, {2,55}, {1,44}, {22,38}, {11,49}, {30,57}, {8,56}, {7,37}, {19,52}, {27,33}, {3,43}, {18,48}, {4,58}, {9,54}, {11,53}, {12,49}, {3,37}, {1,35}, {23,32}, {28,60}, {21,61}, {14,37}, {22,33}, {11,45}, {31,50}, {8,62}, {13,50}, {9,44}, {14,59}, {22,59}, {21,50}, {19,57}, {30,38}, {30,53}, {1,54}, {17,36}, {31,56}, {20,62}, {12,45}, {30,36}, {10,36}, {27,59}, {13,46}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {27,48}, {29,33}, {24,34}, {4,40}, {24,61}, {16,36}, {29,40}, {1,39}, {18,43}, {7,40}, {17,37}, {25,36}, {10,52}, {24,51}, {7,55}, {22,48}, {12,62}, {27,47}, {23,48}, {3,53}, {20,38}, {14,41}, {24,57}, {5,34}, {26,34}, {1,43}, {29,56}, {26,59}, {31,51}, {4,61}, {25,59}, {9,40}, {8,45}, {6,47}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {30,41}, {22,40}, {24,35}, {24,37}, {6,46}, {2,49}, {12,57}, {6,56}, {24,62}, {3,46}, {28,61}, {27,34}, {11,59}, {6,50}, {1,40}, {28,35}, {19,56}, {1,48}, {15,44}, {19,36}, {3,60}, {17,44}, {2,33}, {17,35}, {9,47}, {17,59}, {10,59}, {29,59}, {19,39}, {5,41}, {13,41}, {26,61}, {19,33}, {31,54}, {2,43}, {25,48}, {23,60}, {30,49}, {13,44}, {9,62}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {15,38}, {22,39}, {7,52}, {12,53}, {29,43}, {10,60}, {21,33}, {30,58}, {6,54}, {1,56}, {10,34}, {7,48}, {14,52}, {28,34}, {13,39}, {29,54}, {3,52}, {20,51}, {24,56}, {19,42}, {27,58}, {19,50}, {6,62}, {13,55}, {18,46}, {24,46}, {9,61}, {7,32}, {29,58}, {12,51}, {20,34}, {25,34}, {27,44}, {17,52}, {9,56}, {30,32}, {11,54}, {3,41}, {15,39}, {10,39}, {23,57}, {14,56}, {26,38}, {16,39}, {30,42}, {5,37}, {3,44}, {12,60}, {23,62}, {25,54}, {18,40}, {17,57}, {24,32}, {14,42}, {21,58}, {2,46}, {3,39}, {10,41}, {13,58}, {23,35}, {15,41}, {19,45}, {4,50}, {17,41}, {4,48}, {21,52}, {23,59}, {10,56}, {9,51}, {9,38}, {27,37}, {6,33}, {2,32}, {31,55}, {15,52}, {16,50}, {19,48}, {9,36}, {10,40}, {27,49}, {18,47}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {27,39}, {31,46}, {7,58}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {31,59}, {21,48}, {4,43}, {29,55}, {24,45}, {16,53}, {25,44}, {18,32}, {24,40}, {21,32}, {17,55}, {26,42}, {20,47}, {28,55}, {22,35}, {7,50}, {12,43}, {5,39}, {13,47}, {23,37}, {15,53}, {15,61}, {21,49}, {2,54}, {3,40}, {16,59}, {12,36}, {22,44}, {28,53}, {26,51}, {21,39}, {3,33}, {1,57}, {20,55}, {23,43}, {23,36}, {16,49}, {4,53}, {25,55}, {24,41}, {7,33}, {16,47}, {20,36}, {20,45}, {29,35}, {13,45}, {30,39}, {29,62}, {26,45}, {4,37}, {28,33}, {4,35}, {2,35}, {20,53}, {30,47}, {25,53}, {17,47}, {8,50}, {25,37}, {21,38}, {12,55}, {6,41}, {10,49}, {30,46}, {4,36} }; // ETB62.18 // Bipartite(20,42) Valencies [21,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 81567930655283022397440000000000 EdgesBipt[62][18]:={ {13,21}, {6,52}, {18,45}, {19,28}, {11,40}, {15,59}, {11,49}, {14,36}, {9,32}, {5,38}, {5,56}, {11,25}, {3,58}, {5,59}, {11,59}, {5,45}, {2,60}, {8,26}, {13,39}, {3,61}, {11,43}, {17,33}, {4,31}, {5,57}, {3,35}, {10,33}, {16,55}, {11,53}, {3,23}, {17,56}, {10,39}, {1,21}, {14,45}, {6,48}, {16,37}, {19,37}, {20,37}, {5,32}, {1,35}, {15,41}, {8,31}, {4,37}, {2,46}, {6,58}, {13,27}, {14,57}, {10,48}, {2,33}, {17,35}, {4,38}, {3,49}, {11,35}, {11,29}, {10,42}, {19,40}, {20,38}, {2,34}, {20,26}, {19,31}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {2,52}, {20,61}, {4,30}, {7,59}, {8,30}, {16,49}, {9,33}, {20,43}, {13,59}, {8,37}, {9,57}, {20,24}, {5,41}, {6,60}, {17,39}, {16,60}, {12,38}, {7,41}, {20,49}, {12,26}, {17,59}, {17,62}, {19,22}, {12,42}, {6,39}, {12,31}, {3,52}, {17,26}, {13,47}, {2,48}, {16,61}, {18,58}, {19,52}, {16,25}, {9,56}, {9,35}, {1,29}, {12,37}, {13,51}, {6,46}, {16,43}, {18,39}, {8,38}, {9,62}, {18,57}, {20,55}, {13,26}, {17,47}, {9,47}, {4,49}, {5,50}, {6,24}, {1,38}, {18,46}, {1,26}, {2,36}, {8,49}, {13,41}, {20,36}, {20,42}, {10,51}, {6,34}, {9,29}, {9,39}, {12,49}, {8,42}, {4,62}, {18,33}, {18,36}, {6,51}, {4,61}, {5,27}, {19,46}, {3,43}, {15,28}, {14,46}, {2,39}, {9,59}, {3,47}, {12,24}, {3,31}, {19,47}, {11,22}, {1,39}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {17,57}, {5,35}, {14,34}, {19,23}, {19,49}, {17,29}, {8,48}, {14,54}, {14,60}, {20,25}, {4,32}, {4,60}, {8,56}, {8,50}, {14,28}, {12,56}, {6,36}, {18,51}, {3,55}, {9,51}, {1,47}, {10,57}, {2,24}, {11,23}, {10,36}, {14,33}, {2,51}, {15,37}, {10,46}, {10,58}, {15,34}, {18,22}, {8,60}, {17,51}, {14,39}, {8,24}, {9,38}, {9,26}, {14,21}, {7,46}, {3,59}, {11,58}, {11,52}, {3,29}, {1,41}, {12,55}, {1,51}, {1,59}, {13,53}, {15,23}, {18,54}, {20,54}, {13,45}, {20,31}, {3,25}, {11,34}, {7,35}, {11,46}, {16,56}, {15,58}, {2,27}, {12,30}, {6,30}, {7,34}, {7,58}, {15,52}, {15,53}, {13,56}, {13,50}, {11,61}, {20,30}, {5,39}, {20,62}, {19,55}, {14,27}, {7,28}, {6,45}, {20,44}, {17,44}, {19,41}, {13,29}, {14,52}, {15,46}, {10,22}, {10,30}, {4,50}, {7,23}, {16,30}, {15,61}, {6,22}, {15,35}, {17,38}, {1,57}, {7,61}, {12,25}, {16,26}, {10,52}, {15,40}, {3,22}, {13,57}, {1,44}, {13,38}, {15,49}, {10,54}, {19,53}, {7,49}, {14,40}, {9,41}, {16,31}, {3,41}, {4,36}, {1,32}, {9,44}, {7,52}, {20,60}, {19,29}, {8,32}, {6,57}, {10,28}, {20,48}, {19,34}, {16,44}, {4,44}, {2,54}, {7,40}, {12,50}, {17,41}, {5,23}, {12,43}, {20,32}, {3,53}, {17,50}, {10,40}, {19,61}, {18,21}, {10,21}, {9,21}, {7,29}, {1,62}, {18,30}, {2,28}, {9,23}, {8,36}, {13,44}, {14,58}, {2,45}, {4,55}, {16,36}, {13,32}, {1,45}, {20,50}, {14,51}, {19,59}, {3,34}, {2,21}, {19,43}, {7,55}, {18,28}, {2,22}, {11,47}, {15,29}, {18,24}, {18,52}, {8,43}, {12,61}, {12,62}, {16,38}, {1,33}, {18,27}, {12,36}, {12,44}, {5,26}, {19,25}, {7,47}, {4,42}, {5,29}, {16,50}, {4,25}, {3,28}, {14,30}, {7,31}, {13,62}, {5,47}, {2,57}, {6,54}, {15,55}, {15,47}, {11,31}, {1,53}, {12,60}, {14,24}, {19,35}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {13,35}, {5,21}, {8,44}, {17,21}, {6,28}, {19,58}, {6,42}, {13,33}, {16,62}, {1,56}, {1,50}, {10,60}, {11,37}, {11,28}, {1,23}, {8,55}, {10,24}, {14,42}, {10,27}, {10,34}, {17,53}, {3,40}, {8,61}, {13,23}, {10,45}, {17,27}, {2,40}, {8,54}, {6,21}, {15,22}, {17,45}, {9,45}, {4,26}, {16,54}, {20,56}, {16,24}, {9,27}, {12,32}, {8,62}, {15,31}, {5,62}, {7,43}, {18,40}, {11,55}, {18,60}, {1,27}, {5,44}, {12,54}, {17,23}, {9,53}, {3,37}, {14,22}, {15,43}, {17,32}, {14,48}, {8,25}, {2,42}, {18,42}, {4,48}, {16,32}, {6,33}, {18,34}, {18,48}, {3,46}, {5,33}, {2,58}, {15,25}, {4,56}, {4,54}, {6,40} }; // ETB62.19 // Bipartite(20,42) Valencies [21,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1007011489571395338240000000 EdgesBipt[62][19]:={ {13,21}, {15,33}, {10,37}, {16,47}, {6,59}, {9,32}, {6,25}, {5,22}, {19,26}, {4,28}, {11,59}, {5,45}, {2,62}, {2,60}, {12,22}, {3,26}, {8,26}, {13,39}, {10,62}, {15,54}, {4,31}, {8,40}, {5,57}, {3,35}, {10,33}, {11,57}, {14,31}, {15,27}, {16,55}, {11,53}, {3,23}, {8,23}, {10,39}, {1,21}, {3,21}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {20,37}, {1,35}, {4,51}, {4,37}, {4,40}, {2,46}, {13,27}, {14,57}, {17,35}, {11,35}, {11,29}, {10,56}, {15,57}, {6,29}, {11,27}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {12,48}, {4,43}, {16,42}, {16,48}, {18,32}, {2,52}, {20,61}, {7,59}, {16,49}, {12,46}, {20,43}, {13,59}, {8,46}, {6,60}, {8,52}, {16,60}, {12,38}, {7,41}, {20,49}, {12,26}, {17,59}, {4,58}, {12,42}, {11,39}, {6,49}, {10,26}, {12,40}, {19,48}, {13,47}, {5,60}, {1,24}, {2,48}, {15,30}, {16,61}, {18,58}, {20,39}, {18,35}, {16,25}, {9,56}, {1,36}, {1,29}, {19,42}, {13,51}, {2,56}, {15,45}, {16,43}, {8,38}, {9,62}, {20,55}, {13,26}, {17,47}, {18,62}, {4,49}, {12,52}, {6,24}, {5,34}, {18,47}, {18,46}, {2,36}, {13,41}, {10,51}, {8,22}, {18,29}, {9,36}, {11,51}, {18,26}, {4,22}, {5,54}, {3,38}, {4,61}, {5,27}, {16,59}, {18,59}, {15,28}, {5,28}, {18,56}, {14,46}, {3,47}, {1,42}, {12,24}, {19,56}, {19,38}, {3,51}, {1,39}, {7,37}, {7,53}, {11,42}, {2,30}, {14,34}, {19,49}, {4,21}, {17,29}, {11,60}, {20,25}, {2,44}, {1,30}, {8,56}, {8,50}, {14,28}, {12,56}, {11,21}, {6,36}, {16,29}, {11,36}, {1,47}, {10,57}, {2,24}, {11,23}, {14,33}, {20,51}, {10,38}, {15,34}, {11,33}, {18,22}, {9,55}, {17,58}, {14,39}, {11,48}, {19,30}, {10,55}, {8,47}, {8,41}, {9,38}, {14,21}, {9,26}, {18,38}, {7,46}, {3,59}, {3,29}, {10,61}, {17,31}, {3,62}, {1,41}, {4,45}, {1,51}, {1,59}, {13,53}, {9,54}, {3,44}, {13,45}, {20,31}, {8,59}, {19,24}, {17,55}, {17,28}, {7,35}, {15,60}, {5,52}, {15,58}, {12,30}, {6,30}, {4,33}, {7,34}, {11,24}, {10,31}, {9,31}, {4,57}, {10,44}, {7,58}, {15,52}, {17,46}, {13,56}, {13,50}, {9,30}, {5,39}, {20,62}, {8,53}, {19,55}, {3,32}, {14,27}, {18,44}, {16,41}, {7,28}, {20,44}, {13,29}, {8,34}, {14,52}, {17,61}, {9,25}, {15,46}, {5,40}, {7,23}, {16,30}, {4,34}, {10,25}, {1,57}, {6,31}, {15,24}, {17,52}, {7,61}, {11,54}, {14,43}, {15,40}, {19,50}, {13,57}, {14,37}, {13,38}, {19,44}, {7,49}, {1,48}, {14,40}, {6,23}, {16,31}, {3,41}, {15,39}, {9,44}, {1,54}, {7,52}, {6,43}, {6,37}, {8,32}, {9,24}, {17,22}, {17,25}, {2,54}, {7,40}, {12,50}, {17,41}, {20,32}, {2,26}, {3,53}, {18,41}, {19,61}, {1,60}, {14,55}, {10,21}, {7,29}, {19,62}, {2,28}, {8,29}, {13,44}, {14,58}, {5,46}, {4,55}, {6,47}, {3,33}, {16,36}, {13,32}, {1,45}, {10,50}, {9,61}, {20,50}, {14,51}, {11,30}, {3,50}, {16,53}, {4,27}, {19,43}, {7,55}, {20,57}, {18,28}, {5,24}, {2,22}, {11,47}, {4,46}, {18,52}, {19,60}, {3,56}, {12,62}, {11,45}, {1,33}, {5,58}, {8,58}, {12,36}, {3,45}, {12,44}, {19,25}, {7,47}, {4,25}, {7,31}, {13,62}, {12,58}, {3,57}, {6,54}, {17,34}, {20,27}, {14,49}, {20,33}, {1,53}, {15,48}, {12,60}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {15,42}, {13,35}, {5,21}, {2,50}, {6,41}, {14,61}, {17,40}, {12,34}, {9,60}, {8,44}, {19,36}, {6,42}, {16,23}, {18,23}, {19,32}, {13,33}, {15,51}, {18,53}, {14,25}, {15,21}, {20,45}, {1,23}, {16,35}, {10,27}, {17,53}, {13,23}, {10,45}, {8,35}, {2,40}, {15,22}, {18,50}, {16,54}, {17,37}, {20,56}, {16,24}, {3,27}, {5,42}, {2,38}, {12,32}, {15,36}, {10,43}, {8,62}, {6,55}, {6,53}, {8,28}, {9,49}, {7,43}, {18,40}, {1,27}, {12,54}, {17,23}, {4,52}, {9,43}, {14,22}, {9,42}, {5,36}, {10,32}, {4,39}, {6,35}, {17,43}, {20,21}, {2,42}, {6,61}, {2,32}, {18,34}, {17,49}, {9,48}, {19,54}, {5,48}, {5,33}, {2,58}, {5,30}, {10,49}, {9,37} }; // ETB62.20 // Bipartite(20,42) Valencies [21,10] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 11800915893414789120000000 EdgesBipt[62][20]:={ {15,33}, {18,45}, {7,48}, {6,38}, {19,28}, {11,40}, {10,37}, {15,59}, {8,57}, {6,59}, {6,25}, {5,22}, {16,51}, {19,26}, {4,28}, {3,58}, {5,59}, {8,51}, {19,57}, {5,45}, {2,60}, {12,22}, {14,38}, {17,42}, {3,61}, {10,62}, {14,50}, {5,57}, {20,46}, {8,21}, {14,31}, {15,27}, {14,56}, {1,21}, {14,45}, {20,37}, {20,58}, {1,35}, {7,30}, {15,41}, {8,31}, {4,40}, {20,52}, {2,46}, {6,56}, {14,57}, {10,48}, {16,21}, {19,21}, {14,44}, {2,33}, {6,32}, {17,35}, {4,38}, {3,49}, {10,56}, {15,57}, {10,42}, {6,29}, {19,40}, {2,34}, {12,28}, {16,42}, {16,48}, {2,52}, {20,61}, {8,30}, {7,59}, {12,46}, {20,43}, {13,59}, {7,45}, {8,37}, {5,41}, {16,60}, {12,38}, {7,41}, {20,49}, {12,26}, {13,30}, {17,59}, {7,27}, {4,58}, {19,22}, {14,62}, {6,49}, {10,26}, {7,33}, {12,31}, {3,52}, {12,40}, {20,29}, {13,47}, {13,24}, {2,48}, {18,58}, {19,52}, {13,42}, {20,35}, {9,35}, {1,29}, {12,37}, {15,45}, {6,44}, {18,39}, {4,23}, {18,57}, {20,55}, {13,26}, {17,47}, {9,47}, {12,52}, {17,36}, {5,34}, {1,38}, {18,46}, {1,26}, {14,32}, {2,36}, {8,49}, {13,41}, {9,36}, {9,29}, {12,49}, {8,42}, {4,62}, {4,22}, {7,54}, {18,33}, {5,27}, {19,46}, {3,43}, {5,28}, {20,41}, {2,39}, {9,59}, {9,46}, {7,60}, {19,56}, {19,38}, {3,31}, {11,22}, {18,55}, {1,39}, {7,53}, {5,53}, {11,42}, {2,30}, {9,58}, {5,35}, {3,36}, {17,29}, {8,48}, {11,60}, {20,25}, {4,32}, {19,27}, {12,56}, {18,51}, {4,53}, {11,36}, {3,30}, {3,55}, {13,48}, {1,47}, {2,24}, {16,57}, {3,24}, {10,36}, {14,33}, {2,51}, {15,37}, {10,38}, {18,22}, {8,60}, {14,39}, {11,48}, {10,55}, {8,24}, {4,41}, {14,21}, {17,54}, {8,45}, {11,58}, {10,61}, {11,52}, {17,31}, {13,36}, {1,41}, {20,22}, {12,55}, {1,51}, {1,59}, {13,53}, {9,54}, {15,23}, {9,22}, {11,44}, {4,47}, {20,31}, {3,25}, {11,34}, {17,55}, {7,35}, {19,45}, {11,46}, {16,56}, {5,52}, {2,27}, {11,24}, {10,31}, {10,44}, {18,25}, {15,53}, {13,56}, {13,50}, {9,30}, {5,39}, {14,27}, {13,29}, {17,61}, {17,30}, {10,30}, {5,40}, {20,47}, {4,50}, {7,23}, {11,62}, {16,30}, {15,61}, {4,34}, {10,25}, {15,35}, {1,57}, {6,31}, {11,32}, {9,52}, {12,25}, {11,54}, {16,26}, {3,42}, {14,43}, {19,50}, {3,22}, {14,37}, {1,44}, {13,38}, {15,49}, {10,54}, {18,31}, {19,44}, {9,41}, {6,23}, {16,45}, {20,59}, {7,39}, {15,39}, {4,29}, {1,32}, {4,59}, {6,43}, {6,37}, {7,24}, {9,24}, {17,25}, {19,34}, {3,60}, {18,61}, {16,44}, {4,44}, {2,54}, {12,50}, {17,41}, {5,23}, {12,43}, {14,55}, {18,21}, {7,29}, {1,62}, {19,62}, {11,56}, {2,28}, {9,23}, {7,21}, {8,36}, {13,44}, {8,27}, {2,45}, {5,46}, {6,47}, {3,48}, {16,36}, {13,32}, {14,26}, {1,45}, {10,50}, {14,51}, {11,30}, {19,33}, {19,39}, {9,28}, {3,34}, {2,21}, {18,28}, {2,22}, {15,29}, {4,46}, {18,52}, {8,43}, {12,61}, {12,62}, {16,38}, {1,33}, {18,27}, {20,28}, {5,58}, {3,54}, {20,53}, {16,27}, {12,44}, {7,47}, {5,29}, {16,50}, {3,28}, {8,33}, {13,62}, {5,47}, {12,58}, {2,57}, {15,55}, {18,49}, {7,51}, {14,49}, {15,47}, {1,53}, {5,51}, {17,60}, {6,26}, {13,35}, {5,21}, {7,42}, {6,41}, {14,61}, {17,24}, {20,23}, {12,34}, {9,60}, {19,58}, {4,35}, {19,32}, {16,62}, {18,43}, {15,51}, {14,25}, {15,21}, {1,56}, {13,54}, {20,34}, {1,50}, {10,60}, {11,28}, {1,23}, {8,55}, {10,24}, {16,33}, {17,53}, {3,40}, {13,60}, {8,61}, {13,23}, {2,40}, {8,54}, {4,26}, {16,54}, {16,39}, {17,37}, {16,24}, {12,32}, {10,43}, {15,31}, {6,55}, {6,53}, {18,40}, {9,40}, {6,62}, {19,51}, {20,40}, {1,27}, {17,23}, {9,53}, {4,52}, {3,37}, {8,39}, {9,42}, {9,34}, {10,32}, {15,43}, {7,36}, {6,35}, {11,50}, {17,43}, {6,50}, {8,25}, {2,42}, {6,61}, {16,32}, {7,57}, {18,34}, {17,49}, {11,26}, {3,46}, {9,48}, {17,48}, {5,33}, {2,58}, {15,25}, {18,37}, {4,56}, {11,38}, {10,49} }; // ETB62.21 // Bipartite(18,44) Valencies [22,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2842769296378106366828897894400000000 EdgesBipt[62][21]:={ {15,33}, {7,48}, {6,38}, {15,59}, {8,57}, {11,49}, {6,59}, {14,36}, {5,38}, {5,22}, {11,25}, {4,28}, {5,45}, {2,60}, {12,22}, {1,40}, {16,22}, {13,39}, {17,42}, {3,61}, {10,62}, {17,33}, {8,40}, {5,57}, {16,58}, {3,35}, {8,21}, {3,19}, {11,57}, {15,27}, {1,19}, {11,53}, {2,49}, {14,56}, {3,23}, {3,21}, {14,45}, {3,39}, {16,28}, {1,35}, {15,41}, {2,61}, {4,40}, {13,43}, {6,58}, {13,27}, {14,57}, {14,29}, {10,48}, {13,40}, {14,44}, {2,33}, {4,38}, {3,49}, {11,29}, {10,56}, {15,57}, {10,42}, {1,20}, {2,25}, {4,24}, {16,42}, {1,52}, {16,48}, {2,52}, {4,30}, {7,59}, {12,46}, {9,33}, {13,59}, {8,37}, {9,57}, {5,41}, {8,52}, {16,60}, {12,38}, {12,26}, {7,27}, {4,58}, {17,62}, {12,42}, {6,39}, {10,26}, {12,31}, {10,20}, {17,26}, {1,24}, {13,24}, {13,47}, {2,48}, {12,23}, {18,58}, {5,37}, {13,20}, {13,55}, {18,35}, {9,35}, {1,36}, {15,19}, {13,51}, {16,34}, {2,56}, {6,46}, {7,56}, {15,45}, {18,39}, {18,62}, {9,47}, {5,50}, {2,29}, {5,34}, {18,47}, {18,46}, {13,19}, {14,32}, {2,36}, {8,49}, {16,40}, {6,34}, {1,43}, {9,29}, {9,39}, {4,62}, {18,26}, {4,22}, {5,54}, {6,51}, {18,59}, {3,43}, {9,59}, {3,47}, {7,32}, {7,60}, {1,31}, {3,31}, {12,27}, {3,51}, {11,22}, {18,55}, {1,39}, {6,27}, {11,42}, {5,53}, {17,57}, {17,29}, {8,48}, {14,60}, {18,19}, {7,19}, {4,32}, {4,60}, {2,44}, {8,56}, {14,28}, {11,21}, {12,47}, {1,55}, {18,51}, {3,55}, {13,48}, {9,51}, {1,47}, {2,24}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {10,58}, {11,33}, {18,22}, {8,60}, {9,55}, {17,58}, {8,24}, {8,41}, {14,21}, {17,54}, {18,38}, {8,45}, {3,59}, {11,58}, {3,29}, {13,36}, {12,55}, {1,51}, {1,59}, {15,23}, {18,54}, {9,19}, {5,61}, {3,25}, {11,34}, {7,35}, {11,46}, {16,56}, {12,30}, {6,30}, {9,31}, {10,44}, {17,46}, {15,53}, {13,56}, {11,61}, {6,19}, {2,20}, {13,31}, {8,53}, {7,28}, {14,52}, {17,61}, {9,25}, {17,30}, {10,22}, {10,30}, {4,50}, {7,23}, {11,62}, {16,30}, {15,61}, {6,22}, {4,34}, {15,35}, {17,38}, {6,31}, {11,54}, {16,26}, {10,52}, {14,37}, {1,44}, {15,49}, {10,54}, {18,31}, {1,48}, {14,40}, {9,41}, {6,23}, {7,39}, {3,41}, {4,36}, {15,39}, {1,32}, {7,52}, {6,43}, {8,32}, {7,24}, {10,28}, {17,22}, {17,25}, {16,44}, {4,44}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {3,53}, {17,50}, {10,40}, {1,60}, {9,21}, {18,30}, {2,28}, {8,29}, {9,23}, {8,36}, {13,44}, {2,45}, {5,46}, {6,47}, {3,33}, {16,36}, {13,32}, {10,50}, {9,61}, {11,30}, {2,21}, {7,55}, {16,46}, {15,29}, {16,20}, {4,46}, {12,62}, {16,38}, {11,45}, {18,27}, {5,58}, {3,45}, {2,53}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {16,50}, {7,31}, {8,33}, {12,39}, {12,58}, {2,57}, {3,57}, {6,54}, {17,34}, {15,55}, {7,51}, {14,49}, {15,47}, {14,24}, {11,41}, {6,26}, {13,35}, {5,21}, {14,61}, {12,34}, {8,44}, {17,21}, {6,42}, {18,23}, {16,62}, {18,43}, {15,51}, {14,20}, {14,25}, {15,21}, {5,49}, {1,56}, {10,60}, {11,37}, {1,23}, {10,24}, {10,34}, {17,53}, {13,60}, {8,61}, {13,23}, {2,40}, {17,45}, {9,45}, {12,59}, {14,41}, {18,50}, {4,26}, {16,54}, {17,37}, {13,28}, {1,28}, {16,24}, {16,52}, {3,27}, {7,20}, {9,27}, {5,42}, {15,31}, {6,55}, {5,62}, {7,44}, {8,28}, {9,49}, {7,43}, {6,62}, {4,20}, {8,20}, {1,27}, {5,25}, {12,54}, {9,53}, {4,52}, {9,43}, {14,53}, {3,37}, {10,32}, {15,43}, {12,35}, {7,36}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {14,48}, {8,25}, {18,42}, {4,48}, {16,32}, {2,32}, {18,34}, {12,51}, {17,49}, {11,26}, {5,33}, {15,25}, {4,56}, {4,54}, {5,30}, {11,38}, {9,37} }; // ETB62.22 // Bipartite(14,48) Valencies [24,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 97064235919894118400000000 EdgesBipt[62][22]:={ {13,21}, {7,48}, {6,38}, {11,49}, {6,59}, {14,36}, {11,25}, {11,59}, {2,62}, {12,22}, {13,37}, {1,40}, {14,38}, {13,39}, {3,61}, {11,43}, {10,62}, {4,31}, {5,57}, {11,15}, {10,33}, {8,21}, {11,57}, {5,15}, {1,19}, {11,53}, {2,49}, {8,23}, {12,16}, {10,39}, {3,20}, {2,18}, {3,21}, {6,48}, {1,35}, {4,51}, {2,61}, {8,31}, {2,46}, {6,56}, {14,57}, {10,48}, {13,40}, {14,44}, {2,33}, {6,32}, {4,38}, {3,49}, {11,35}, {11,29}, {10,56}, {11,17}, {6,29}, {11,27}, {1,20}, {10,47}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {12,48}, {4,43}, {1,52}, {4,30}, {7,59}, {8,30}, {12,46}, {8,46}, {8,37}, {12,20}, {5,41}, {8,52}, {7,41}, {12,38}, {12,26}, {7,27}, {4,58}, {12,42}, {14,62}, {11,39}, {2,17}, {7,33}, {3,52}, {12,40}, {1,24}, {5,60}, {13,24}, {13,47}, {13,55}, {13,42}, {9,35}, {1,36}, {6,46}, {7,56}, {4,23}, {13,58}, {8,38}, {13,26}, {5,50}, {12,52}, {6,24}, {2,29}, {13,16}, {5,34}, {3,17}, {8,22}, {9,36}, {1,43}, {9,29}, {11,51}, {4,62}, {9,20}, {4,22}, {6,51}, {5,28}, {14,46}, {4,18}, {9,59}, {14,35}, {7,32}, {12,24}, {1,31}, {1,39}, {6,27}, {2,30}, {9,58}, {3,36}, {13,61}, {14,54}, {14,60}, {7,19}, {13,18}, {8,15}, {14,28}, {11,21}, {12,56}, {1,55}, {10,16}, {13,48}, {9,51}, {3,16}, {10,57}, {1,47}, {11,23}, {3,24}, {14,33}, {10,38}, {6,16}, {10,46}, {11,33}, {8,60}, {10,55}, {8,47}, {9,26}, {8,45}, {3,29}, {1,51}, {1,59}, {13,53}, {9,19}, {4,47}, {3,44}, {13,45}, {3,25}, {7,35}, {5,52}, {12,30}, {6,30}, {7,50}, {7,34}, {10,31}, {7,58}, {13,56}, {13,50}, {11,61}, {6,19}, {13,31}, {5,39}, {8,53}, {3,32}, {14,27}, {6,45}, {12,18}, {13,29}, {14,52}, {10,22}, {10,30}, {4,50}, {6,22}, {4,34}, {10,25}, {9,52}, {1,16}, {14,43}, {1,44}, {10,54}, {4,15}, {7,49}, {1,48}, {3,41}, {1,32}, {9,44}, {4,59}, {6,43}, {6,37}, {7,24}, {5,31}, {3,60}, {2,54}, {7,40}, {2,41}, {12,50}, {5,23}, {5,20}, {3,53}, {2,26}, {10,40}, {1,60}, {9,21}, {8,29}, {8,36}, {2,45}, {4,55}, {3,48}, {3,33}, {13,32}, {9,61}, {14,51}, {10,15}, {9,28}, {2,21}, {4,27}, {2,22}, {11,47}, {14,59}, {4,46}, {3,56}, {12,62}, {14,19}, {11,45}, {5,58}, {12,36}, {3,45}, {2,53}, {5,26}, {12,44}, {2,37}, {4,42}, {10,41}, {3,28}, {14,30}, {11,19}, {5,47}, {12,58}, {2,57}, {3,57}, {6,54}, {7,51}, {14,49}, {11,31}, {12,60}, {13,34}, {11,41}, {7,25}, {9,50}, {7,42}, {2,50}, {12,34}, {9,60}, {8,44}, {4,35}, {1,15}, {13,15}, {14,20}, {14,25}, {5,49}, {1,56}, {7,26}, {7,18}, {11,37}, {7,16}, {1,23}, {5,18}, {8,55}, {10,24}, {5,55}, {5,17}, {3,40}, {8,61}, {7,17}, {13,23}, {8,54}, {6,21}, {9,45}, {14,41}, {4,26}, {1,28}, {9,27}, {5,42}, {2,38}, {12,32}, {8,62}, {6,53}, {8,28}, {7,43}, {11,55}, {6,62}, {8,20}, {1,27}, {5,44}, {5,25}, {12,54}, {10,23}, {9,53}, {9,43}, {4,19}, {8,39}, {3,37}, {14,22}, {9,42}, {14,17}, {5,36}, {9,34}, {10,32}, {4,39}, {6,35}, {2,42}, {6,61}, {7,57}, {5,33}, {2,58}, {4,54}, {10,49}, {9,37}, {6,40} }; // ETB62.23 // Bipartite(14,48) Valencies [24,7] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7583143431241728 EdgesBipt[62][23]:={ {7,48}, {11,40}, {8,57}, {6,25}, {5,38}, {5,22}, {10,18}, {9,17}, {4,28}, {2,55}, {8,51}, {2,62}, {2,60}, {1,49}, {1,40}, {14,38}, {13,39}, {3,61}, {5,57}, {3,35}, {11,15}, {10,33}, {3,19}, {5,15}, {14,56}, {10,39}, {2,18}, {1,21}, {3,21}, {14,45}, {5,32}, {2,61}, {4,37}, {2,46}, {6,56}, {13,43}, {13,27}, {14,57}, {14,29}, {14,44}, {11,35}, {11,29}, {10,56}, {10,42}, {8,16}, {10,17}, {2,34}, {12,28}, {4,43}, {9,33}, {1,17}, {13,59}, {4,16}, {9,57}, {12,20}, {5,41}, {6,60}, {8,52}, {4,58}, {14,62}, {11,39}, {6,49}, {10,26}, {7,33}, {12,40}, {10,20}, {1,24}, {13,47}, {2,48}, {12,23}, {13,20}, {13,55}, {9,56}, {13,42}, {9,35}, {6,18}, {12,37}, {6,46}, {6,44}, {13,58}, {11,18}, {8,38}, {13,26}, {9,47}, {4,49}, {5,50}, {12,52}, {6,24}, {2,29}, {13,16}, {5,34}, {1,26}, {7,15}, {8,22}, {9,36}, {6,34}, {1,43}, {11,51}, {9,20}, {5,54}, {6,51}, {8,19}, {3,43}, {6,17}, {14,46}, {2,39}, {9,59}, {8,18}, {3,47}, {1,42}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {11,22}, {1,39}, {7,37}, {7,53}, {2,30}, {13,61}, {4,21}, {8,48}, {14,54}, {14,60}, {7,19}, {4,32}, {4,60}, {2,44}, {1,30}, {8,50}, {14,28}, {12,56}, {1,55}, {4,53}, {3,30}, {13,48}, {9,51}, {3,16}, {1,47}, {11,23}, {10,36}, {10,38}, {10,58}, {8,60}, {10,55}, {4,41}, {9,38}, {8,41}, {8,45}, {3,59}, {3,29}, {3,62}, {13,36}, {2,23}, {12,55}, {1,59}, {9,54}, {9,22}, {9,19}, {13,45}, {3,25}, {11,34}, {7,35}, {11,46}, {6,30}, {7,50}, {4,33}, {7,34}, {11,24}, {4,57}, {9,31}, {10,44}, {13,22}, {11,61}, {6,19}, {4,17}, {13,31}, {3,32}, {14,27}, {2,16}, {8,34}, {13,29}, {9,25}, {10,22}, {7,23}, {11,62}, {12,45}, {12,29}, {9,52}, {11,54}, {10,52}, {14,43}, {13,38}, {10,54}, {7,49}, {14,40}, {9,41}, {7,39}, {3,41}, {4,36}, {4,59}, {7,52}, {6,37}, {8,32}, {6,57}, {10,28}, {9,24}, {5,31}, {4,44}, {12,43}, {2,26}, {3,53}, {10,40}, {1,62}, {11,56}, {2,28}, {8,29}, {7,21}, {8,36}, {14,58}, {2,45}, {5,46}, {3,48}, {13,32}, {14,26}, {10,50}, {11,30}, {2,21}, {4,27}, {7,55}, {11,47}, {14,59}, {12,61}, {11,45}, {1,33}, {5,58}, {12,36}, {3,45}, {2,53}, {12,44}, {5,26}, {7,47}, {2,37}, {4,42}, {12,53}, {4,25}, {14,30}, {7,31}, {11,19}, {12,39}, {5,47}, {3,57}, {7,51}, {11,31}, {1,53}, {12,60}, {14,24}, {3,15}, {2,50}, {6,41}, {9,15}, {14,61}, {8,44}, {6,28}, {1,15}, {13,15}, {14,25}, {5,49}, {1,56}, {13,54}, {10,60}, {7,18}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {14,42}, {10,34}, {5,17}, {8,61}, {7,17}, {8,35}, {13,23}, {8,54}, {6,21}, {12,59}, {14,41}, {4,26}, {3,27}, {7,20}, {9,27}, {5,42}, {6,53}, {5,62}, {8,28}, {9,49}, {9,40}, {6,62}, {11,55}, {4,20}, {8,20}, {1,27}, {5,25}, {10,23}, {4,52}, {9,43}, {1,46}, {3,37}, {14,22}, {12,35}, {7,36}, {6,35}, {11,50}, {12,19}, {13,52}, {6,50}, {1,37}, {1,58}, {8,25}, {2,42}, {4,48}, {2,32}, {12,21}, {6,33}, {12,51}, {3,46}, {5,48}, {5,33}, {2,58}, {5,30}, {11,38}, {10,49}, {6,40} }; // ETB62.24 // Bipartite(12,50) Valencies [25,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2377626786201600000000000 EdgesBipt[62][24]:={ {6,52}, {10,37}, {8,57}, {11,49}, {6,25}, {5,38}, {5,22}, {10,18}, {5,56}, {4,28}, {3,58}, {5,59}, {11,59}, {2,60}, {12,22}, {8,26}, {4,31}, {8,40}, {6,15}, {3,35}, {10,33}, {3,19}, {2,49}, {3,23}, {3,20}, {3,39}, {5,32}, {4,51}, {1,35}, {4,37}, {2,46}, {10,48}, {6,14}, {6,32}, {4,38}, {3,49}, {11,29}, {3,18}, {10,47}, {8,16}, {10,17}, {9,18}, {2,34}, {4,24}, {4,43}, {1,52}, {8,30}, {9,33}, {1,17}, {7,45}, {8,46}, {4,13}, {8,37}, {12,20}, {5,41}, {6,60}, {1,13}, {7,27}, {4,58}, {12,42}, {11,39}, {2,17}, {7,33}, {12,31}, {12,40}, {9,35}, {1,36}, {2,56}, {7,56}, {6,44}, {4,23}, {11,18}, {12,52}, {6,24}, {2,29}, {1,26}, {2,36}, {8,49}, {10,51}, {7,15}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {9,20}, {6,51}, {8,19}, {4,61}, {3,38}, {3,43}, {5,28}, {2,39}, {9,59}, {4,18}, {1,42}, {7,32}, {12,24}, {3,13}, {11,22}, {9,13}, {7,37}, {7,53}, {11,42}, {2,30}, {9,58}, {4,21}, {2,44}, {8,56}, {12,15}, {8,50}, {11,21}, {8,17}, {1,55}, {4,53}, {11,36}, {3,30}, {3,55}, {1,47}, {10,57}, {2,24}, {11,16}, {10,38}, {10,58}, {8,60}, {9,55}, {11,48}, {8,47}, {8,24}, {4,41}, {9,38}, {7,46}, {3,59}, {11,58}, {10,61}, {11,52}, {3,29}, {10,13}, {12,55}, {12,41}, {9,19}, {4,47}, {5,61}, {8,59}, {3,25}, {7,35}, {11,46}, {5,52}, {2,27}, {12,30}, {6,30}, {4,33}, {1,22}, {10,31}, {5,19}, {4,57}, {10,44}, {1,25}, {11,61}, {2,20}, {4,17}, {9,30}, {5,39}, {6,45}, {2,16}, {8,34}, {9,25}, {7,23}, {11,62}, {12,45}, {6,22}, {4,34}, {1,57}, {6,31}, {11,32}, {12,25}, {1,16}, {4,14}, {10,54}, {1,32}, {7,52}, {10,28}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {12,50}, {2,26}, {3,53}, {12,14}, {10,21}, {1,62}, {11,56}, {8,29}, {9,23}, {8,36}, {8,27}, {5,46}, {3,48}, {3,33}, {1,45}, {3,50}, {9,28}, {4,27}, {7,55}, {12,61}, {12,62}, {1,33}, {5,58}, {3,45}, {5,26}, {12,44}, {7,47}, {2,37}, {5,29}, {10,41}, {3,28}, {11,19}, {2,57}, {6,54}, {8,14}, {11,31}, {1,53}, {12,60}, {3,15}, {5,51}, {11,41}, {7,25}, {9,50}, {7,22}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {10,53}, {12,34}, {9,60}, {8,44}, {6,42}, {1,15}, {5,49}, {1,56}, {7,26}, {11,28}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {10,24}, {10,27}, {10,34}, {3,40}, {7,17}, {2,40}, {8,54}, {6,21}, {9,45}, {5,42}, {2,59}, {12,32}, {10,43}, {6,55}, {5,62}, {9,49}, {7,43}, {9,40}, {6,62}, {8,20}, {1,27}, {12,54}, {10,23}, {9,53}, {9,43}, {1,46}, {8,39}, {7,13}, {5,36}, {10,14}, {7,36}, {12,35}, {6,35}, {6,50}, {1,37}, {6,61}, {4,48}, {7,57}, {12,21}, {2,14}, {7,62}, {12,51}, {11,26}, {9,48}, {5,48}, {4,54}, {11,38}, {6,40} }; // ETB62.25 // Bipartite(12,50) Valencies [25,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 74300837068800000000000 EdgesBipt[62][25]:={ {6,52}, {6,38}, {8,57}, {11,49}, {5,38}, {5,22}, {10,18}, {2,55}, {5,59}, {11,59}, {8,51}, {2,62}, {3,26}, {12,22}, {1,40}, {3,61}, {11,43}, {10,62}, {2,35}, {5,57}, {8,21}, {3,19}, {11,53}, {8,23}, {12,16}, {3,20}, {2,18}, {1,21}, {3,21}, {6,48}, {3,39}, {11,14}, {1,35}, {5,32}, {8,31}, {4,40}, {4,37}, {6,56}, {6,58}, {10,48}, {2,33}, {6,32}, {3,49}, {11,29}, {10,56}, {10,42}, {1,20}, {9,18}, {2,25}, {4,24}, {2,52}, {4,30}, {7,59}, {8,13}, {9,33}, {12,46}, {8,37}, {12,20}, {7,41}, {1,13}, {12,26}, {7,27}, {12,42}, {11,39}, {10,26}, {2,17}, {12,40}, {10,20}, {2,48}, {2,15}, {5,37}, {9,35}, {1,36}, {6,18}, {12,37}, {6,46}, {7,56}, {11,18}, {4,49}, {12,52}, {5,34}, {1,26}, {8,49}, {1,61}, {1,43}, {11,51}, {9,20}, {5,54}, {6,51}, {8,19}, {5,27}, {5,28}, {7,32}, {1,31}, {3,31}, {12,27}, {3,51}, {9,13}, {7,37}, {9,58}, {3,36}, {7,19}, {4,60}, {1,30}, {2,13}, {12,15}, {8,15}, {11,21}, {12,47}, {12,56}, {6,36}, {8,17}, {1,55}, {10,16}, {3,30}, {3,16}, {11,23}, {3,24}, {10,36}, {10,38}, {6,16}, {10,58}, {10,46}, {11,33}, {9,55}, {11,48}, {8,47}, {8,41}, {9,38}, {5,14}, {7,46}, {8,45}, {3,59}, {11,58}, {3,29}, {12,17}, {1,41}, {2,23}, {4,45}, {12,55}, {1,51}, {9,54}, {11,44}, {4,47}, {3,44}, {8,59}, {11,34}, {11,13}, {2,43}, {5,52}, {2,27}, {12,30}, {11,24}, {4,57}, {5,19}, {10,44}, {6,13}, {1,25}, {11,61}, {4,17}, {9,30}, {5,39}, {8,53}, {9,25}, {10,22}, {10,30}, {4,50}, {12,45}, {6,22}, {4,34}, {6,31}, {7,61}, {11,54}, {12,25}, {10,52}, {1,16}, {4,14}, {10,54}, {4,15}, {7,49}, {6,23}, {7,39}, {3,41}, {4,29}, {9,44}, {4,59}, {7,52}, {6,43}, {10,28}, {9,24}, {3,60}, {4,44}, {12,50}, {10,40}, {1,60}, {7,29}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {2,45}, {4,55}, {1,45}, {10,50}, {3,50}, {9,28}, {3,34}, {4,27}, {5,24}, {2,22}, {8,43}, {3,56}, {12,62}, {1,33}, {5,58}, {3,54}, {12,36}, {2,53}, {3,14}, {7,47}, {2,37}, {5,29}, {4,25}, {7,31}, {11,19}, {8,33}, {5,47}, {2,57}, {7,51}, {11,31}, {1,53}, {12,60}, {11,41}, {9,50}, {7,22}, {6,26}, {7,42}, {6,41}, {9,15}, {9,60}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {10,60}, {11,28}, {2,47}, {7,16}, {1,23}, {5,18}, {8,55}, {10,24}, {10,34}, {5,17}, {3,40}, {8,61}, {7,17}, {8,35}, {6,21}, {9,45}, {12,57}, {5,42}, {2,38}, {12,32}, {6,53}, {5,62}, {9,40}, {6,62}, {4,20}, {5,44}, {9,53}, {9,43}, {1,46}, {4,19}, {8,39}, {9,14}, {9,34}, {10,14}, {10,32}, {4,39}, {7,36}, {12,35}, {8,25}, {2,42}, {6,61}, {7,57}, {2,32}, {6,33}, {7,62}, {3,46}, {9,48}, {5,48}, {2,58}, {4,54}, {11,38} }; // ETB62.26 // Bipartite(31,31) Valencies [25,25] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 744000 EdgesBipt[62][26]:={ {26,53}, {7,49}, {26,54}, {26,50}, {6,36}, {24,33}, {14,48}, {4,46}, {20,33}, {17,61}, {19,41}, {24,59}, {25,42}, {30,59}, {7,47}, {22,53}, {28,56}, {17,56}, {4,60}, {20,50}, {27,61}, {7,57}, {10,61}, {3,62}, {4,57}, {14,49}, {5,32}, {22,49}, {5,52}, {8,37}, {14,47}, {6,60}, {22,55}, {12,42}, {30,45}, {17,54}, {2,57}, {18,51}, {3,47}, {9,58}, {11,52}, {11,34}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {2,39}, {18,38}, {7,53}, {7,62}, {15,50}, {1,32}, {8,36}, {22,61}, {28,54}, {13,43}, {19,37}, {18,49}, {9,49}, {15,62}, {15,33}, {24,52}, {12,52}, {16,54}, {13,61}, {16,57}, {5,61}, {22,51}, {12,32}, {5,56}, {29,42}, {1,41}, {23,54}, {3,54}, {14,54}, {10,55}, {21,35}, {25,58}, {31,42}, {29,61}, {2,38}, {20,42}, {4,52}, {19,49}, {31,37}, {6,34}, {4,38}, {1,49}, {24,39}, {7,54}, {16,33}, {19,38}, {8,44}, {25,49}, {13,51}, {4,34}, {26,46}, {7,60}, {13,62}, {31,38}, {26,47}, {18,37}, {15,45}, {10,42}, {14,40}, {28,45}, {9,41}, {17,43}, {21,46}, {23,58}, {17,45}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, {8,59}, {11,37}, {8,38}, {1,53}, {26,57}, {28,43}, {5,55}, {30,56}, {16,51}, {17,42}, {11,47}, {21,57}, {23,49}, {30,60}, {18,50}, {12,35}, {12,48}, {20,57}, {11,36}, {28,44}, {19,54}, {19,40}, {24,48}, {15,59}, {10,51}, {28,42}, {15,51}, {30,51}, {5,53}, {13,53}, {14,61}, {27,32}, {28,32}, {18,54}, {25,56}, {4,59}, {25,41}, {7,59}, {2,37}, {17,51}, {9,50}, {31,52}, {25,45}, {25,61}, {28,57}, {8,40}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {6,35}, {5,50}, {26,58}, {27,62}, {23,33}, {5,45}, {27,57}, {31,44}, {21,42}, {31,35}, {18,53}, {20,58}, {29,38}, {8,39}, {22,32}, {7,34}, {20,54}, {22,45}, {9,55}, {31,48}, {15,43}, {29,51}, {27,56}, {2,36}, {11,44}, {13,33}, {26,44}, {18,35}, {30,34}, {20,32}, {14,62}, {14,51}, {26,32}, {18,55}, {16,42}, {12,44}, {8,58}, {18,59}, {6,40}, {1,50}, {24,44}, {20,39}, {4,39}, {27,41}, {6,57}, {21,55}, {12,56}, {25,60}, {22,47}, {16,43}, {6,39}, {10,50}, {24,43}, {2,44}, {2,45}, {19,35}, {23,52}, {26,60}, {1,42}, {16,34}, {8,49}, {10,48}, {4,45}, {28,39}, {11,56}, {31,39}, {30,40}, {20,43}, {31,49}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {12,33}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {8,60}, {28,52}, {6,52}, {3,50}, {21,37}, {26,37}, {2,34}, {31,58}, {14,35}, {12,41}, {5,42}, {16,62}, {21,59}, {6,49}, {4,56}, {11,32}, {2,47}, {23,39}, {10,43}, {27,60}, {24,58}, {25,46}, {15,57}, {29,41}, {26,49}, {20,49}, {20,52}, {20,40}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {21,62}, {25,33}, {11,58}, {14,32}, {9,37}, {27,38}, {17,53}, {26,52}, {31,53}, {24,49}, {25,47}, {30,61}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {31,45}, {8,34}, {8,61}, {23,46}, {12,50}, {4,33}, {18,52}, {18,34}, {21,34}, {1,44}, {22,38}, {11,49}, {30,62}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {6,43}, {24,50}, {12,47}, {21,56}, {11,53}, {2,51}, {3,37}, {28,40}, {29,36}, {1,35}, {31,32}, {2,58}, {23,32}, {29,46}, {7,36}, {28,60}, {9,39}, {21,61}, {14,37}, {22,33}, {11,45}, {8,33}, {29,47}, {8,62}, {13,50}, {9,44}, {15,60}, {24,53}, {22,59}, {21,50}, {19,57}, {30,38}, {30,53}, {13,35}, {8,55}, {31,61}, {16,37}, {1,54}, {13,32}, {18,44}, {9,35}, {31,56}, {12,45}, {20,62}, {30,36}, {30,55}, {15,36}, {10,36}, {1,60}, {12,61}, {27,59}, {8,41}, {15,42}, {2,62}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {29,45}, {5,60}, {16,46}, {9,59}, {27,48}, {27,54}, {4,40}, {24,61}, {23,38}, {16,36}, {12,54}, {11,61}, {29,40}, {1,39}, {6,45}, {17,37}, {4,62}, {6,44}, {25,36}, {2,42}, {22,52}, {18,60}, {9,46}, {15,37}, {7,55}, {12,62}, {22,48}, {7,35}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {20,38}, {30,33}, {14,41}, {9,60}, {27,40}, {5,34}, {26,34}, {31,62}, {1,43}, {15,46}, {29,56}, {28,62}, {1,52}, {13,36}, {31,51}, {3,35}, {4,49}, {4,61}, {29,44}, {5,48}, {26,48}, {9,40}, {25,59}, {7,46}, {20,37}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {30,41}, {30,50}, {2,61}, {4,47}, {24,35}, {13,37}, {24,37}, {13,59}, {6,46}, {21,54}, {19,43}, {14,46}, {10,57}, {5,40}, {3,46}, {24,62}, {22,36}, {28,61}, {24,42}, {27,34}, {11,59}, {6,50}, {1,40}, {19,56}, {1,48}, {23,41}, {8,51}, {25,40}, {19,36}, {14,57}, {3,60}, {16,52}, {17,44}, {3,57}, {28,59}, {2,33}, {17,35}, {6,32}, {10,35}, {24,47}, {9,47}, {17,59}, {6,55}, {27,46}, {4,32}, {15,58}, {29,59}, {12,59}, {15,35}, {21,53}, {5,41}, {13,41}, {26,61}, {15,48}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {31,33}, {3,38}, {2,43}, {25,48}, {23,60}, {30,49}, {13,44}, {9,62}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {29,34}, {15,38}, {7,38}, {8,32}, {22,39}, {4,54}, {23,40}, {29,43}, {4,51}, {10,38}, {10,60}, {18,33}, {30,58}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {25,39}, {7,48}, {14,52}, {13,39}, {11,43}, {29,54}, {3,52}, {28,38}, {2,53}, {20,51}, {28,48}, {19,42}, {26,62}, {27,58}, {19,50}, {6,62}, {13,55}, {18,46}, {23,51}, {1,45}, {16,56}, {17,58}, {31,57}, {6,42}, {7,32}, {13,38}, {26,36}, {29,58}, {22,54}, {13,57}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {19,59}, {9,56}, {30,32}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {23,57}, {13,34}, {14,56}, {28,51}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {30,42}, {1,38}, {5,37}, {25,43}, {29,49}, {7,41}, {14,44}, {12,60}, {25,50}, {20,59}, {1,36}, {18,40}, {17,57}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {13,52}, {18,45}, {29,52}, {2,46}, {3,39}, {10,41}, {7,56}, {12,34}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {17,41}, {19,61}, {8,43}, {28,41}, {2,48}, {23,59}, {16,58}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {25,57}, {1,33}, {2,32}, {6,33}, {31,60}, {14,55}, {29,39}, {22,34}, {31,55}, {15,52}, {16,50}, {28,46}, {24,38}, {9,36}, {19,48}, {10,40}, {29,53}, {19,62}, {27,49}, {18,47}, {29,37}, {17,40}, {30,52}, {23,61}, {7,45}, {8,46}, {20,41}, {18,57}, {27,39}, {31,46}, {7,58}, {20,56}, {13,56}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {5,44}, {5,35}, {3,45}, {21,48}, {1,51}, {29,55}, {24,45}, {9,32}, {16,53}, {18,62}, {3,58}, {30,35}, {25,44}, {17,55}, {21,32}, {24,40}, {26,42}, {20,47}, {14,58}, {28,55}, {22,58}, {30,48}, {31,43}, {22,35}, {5,39}, {12,43}, {19,34}, {28,36}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {15,61}, {21,49}, {3,40}, {16,59}, {27,43}, {22,44}, {31,34}, {13,49}, {26,51}, {28,53}, {21,39}, {15,56}, {18,61}, {3,33}, {27,35}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {22,43}, {12,37}, {10,58}, {13,60}, {25,55}, {27,42}, {7,33}, {16,47}, {20,45}, {29,35}, {21,60}, {26,55}, {29,62}, {26,45}, {31,40}, {4,37}, {22,57}, {3,61}, {28,33}, {10,62}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {30,47}, {25,53}, {17,47}, {8,50}, {24,60}, {25,37}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {30,46}, {12,46}, {4,36}, {5,54} }; // ETB62.27 // Bipartite(8,54) Valencies [27,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 876817929059224633261430931456000000 EdgesBipt[62][27]:={ {6,48}, {8,48}, {1,11}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {2,46}, {4,24}, {8,12}, {4,26}, {3,22}, {3,40}, {1,56}, {4,50}, {4,30}, {8,30}, {4,56}, {8,43}, {5,38}, {2,51}, {7,55}, {8,42}, {8,54}, {1,57}, {1,32}, {3,13}, {1,27}, {3,43}, {3,25}, {7,41}, {7,61}, {2,15}, {4,19}, {5,56}, {7,22}, {4,31}, {4,62}, {2,27}, {3,58}, {3,35}, {5,47}, {5,20}, {3,37}, {7,34}, {1,21}, {2,9}, {3,52}, {8,25}, {2,28}, {5,32}, {3,61}, {8,44}, {8,31}, {2,54}, {2,42}, {6,22}, {7,58}, {3,17}, {2,45}, {4,38}, {6,21}, {3,34}, {3,46}, {6,40}, {1,38}, {4,60}, {2,34}, {1,17}, {2,36}, {1,50}, {3,49}, {8,19}, {6,58}, {7,11}, {5,50}, {5,11}, {1,44}, {5,29}, {2,10}, {2,52}, {8,14}, {7,46}, {4,42}, {2,39}, {8,60}, {7,49}, {7,13}, {7,25}, {7,43}, {6,12}, {1,51}, {6,30}, {5,23}, {6,60}, {1,59}, {2,57}, {6,18}, {2,48}, {1,29}, {2,16}, {7,53}, {7,16}, {6,33}, {8,36}, {1,23}, {6,24}, {7,17}, {6,46}, {4,48}, {1,45}, {8,13}, {1,9}, {8,56}, {5,14}, {4,55}, {4,13}, {3,11}, {4,54}, {4,43}, {1,33}, {3,29}, {3,10}, {8,37}, {8,26}, {7,31}, {6,15}, {5,41}, {4,36}, {6,51}, {7,47}, {8,32}, {3,19}, {7,59}, {6,27}, {5,44}, {5,59}, {3,23}, {1,39}, {8,62}, {6,9}, {6,54}, {5,51}, {1,53}, {7,29}, {1,15}, {6,28}, {1,35}, {5,39}, {7,28}, {3,16}, {4,37}, {6,42}, {3,53}, {7,23}, {6,36}, {2,21}, {5,33}, {6,45}, {8,38}, {1,26}, {2,22}, {4,14}, {8,50}, {8,24}, {1,62}, {1,47}, {4,49}, {2,40}, {6,34}, {6,10}, {3,55}, {5,27}, {8,49}, {8,55}, {5,26}, {2,58}, {8,18}, {4,18}, {5,9}, {6,52}, {4,25}, {4,12}, {4,20}, {3,28}, {8,20}, {7,10}, {1,41}, {5,45}, {8,61}, {3,41}, {3,31}, {2,12}, {1,14}, {6,39}, {5,15}, {3,47}, {7,35}, {5,21}, {2,30}, {4,61}, {3,59}, {7,37}, {5,35}, {2,18}, {2,60}, {7,52}, {7,19}, {5,62}, {7,40}, {4,44}, {4,32}, {5,57}, {6,57}, {5,53} }; // ETB62.28 // Bipartite(8,54) Valencies [27,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 109602241132403079157678866432000000 EdgesBipt[62][28]:={ {6,48}, {2,44}, {8,48}, {1,11}, {3,33}, {5,17}, {2,33}, {6,16}, {4,27}, {8,12}, {4,26}, {3,22}, {2,56}, {3,40}, {4,16}, {2,61}, {4,50}, {8,30}, {6,17}, {4,56}, {7,48}, {5,55}, {1,13}, {2,51}, {7,55}, {3,9}, {7,38}, {8,42}, {8,54}, {8,28}, {1,57}, {3,45}, {1,27}, {3,15}, {7,44}, {7,54}, {7,61}, {2,15}, {2,19}, {8,52}, {1,19}, {2,27}, {4,62}, {3,58}, {3,35}, {5,47}, {2,26}, {2,62}, {1,21}, {2,9}, {7,36}, {3,52}, {8,10}, {3,57}, {2,14}, {6,11}, {8,44}, {6,22}, {6,29}, {3,17}, {8,16}, {2,45}, {4,38}, {6,47}, {3,34}, {2,25}, {7,12}, {3,46}, {6,40}, {4,10}, {1,17}, {7,56}, {4,22}, {6,58}, {7,20}, {1,55}, {5,11}, {5,29}, {2,38}, {2,37}, {5,43}, {8,14}, {5,25}, {2,39}, {7,32}, {1,31}, {8,60}, {4,45}, {7,49}, {1,61}, {7,13}, {7,25}, {7,43}, {6,12}, {1,51}, {6,30}, {4,33}, {5,23}, {4,21}, {6,60}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {6,18}, {4,52}, {1,29}, {5,61}, {7,30}, {7,50}, {3,39}, {2,32}, {7,26}, {8,36}, {5,18}, {4,57}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {5,49}, {1,45}, {8,22}, {1,9}, {5,48}, {8,56}, {4,15}, {3,11}, {7,14}, {3,27}, {4,28}, {1,33}, {7,62}, {3,29}, {3,10}, {6,23}, {1,43}, {4,46}, {8,26}, {5,42}, {7,31}, {5,41}, {5,12}, {5,54}, {8,32}, {4,9}, {5,31}, {8,58}, {1,49}, {8,40}, {5,59}, {3,23}, {1,39}, {5,36}, {3,21}, {8,62}, {1,25}, {4,58}, {6,54}, {1,53}, {6,41}, {1,15}, {6,28}, {7,60}, {1,35}, {1,37}, {3,16}, {5,60}, {6,42}, {3,53}, {4,40}, {6,36}, {2,21}, {8,34}, {4,51}, {8,38}, {4,34}, {4,14}, {8,50}, {8,24}, {1,47}, {2,31}, {6,34}, {6,10}, {8,18}, {6,52}, {4,20}, {5,13}, {3,28}, {8,20}, {8,46}, {1,41}, {3,41}, {7,24}, {6,59}, {2,55}, {3,47}, {5,19}, {6,53}, {3,59}, {7,37}, {5,35}, {5,37}, {7,19}, {2,43}, {6,35}, {4,39}, {4,44}, {7,42}, {4,32}, {5,53}, {2,50}, {2,49}, {7,18} }; // ETB62.29 // Bipartite(6,56) Valencies [28,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1386259865821341051442797274890397286400000000 EdgesBipt[62][29]:={ {2,44}, {1,11}, {3,33}, {2,24}, {1,20}, {5,17}, {2,33}, {5,34}, {4,24}, {4,26}, {2,56}, {4,16}, {1,56}, {4,50}, {4,30}, {2,61}, {4,56}, {5,38}, {3,9}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {1,19}, {4,62}, {3,35}, {3,37}, {2,9}, {6,7}, {3,57}, {2,41}, {2,28}, {3,61}, {6,11}, {6,22}, {3,17}, {3,7}, {2,45}, {4,38}, {6,47}, {2,25}, {6,31}, {4,10}, {4,60}, {2,36}, {1,7}, {5,22}, {4,22}, {3,49}, {6,58}, {1,55}, {5,50}, {4,8}, {1,44}, {5,29}, {2,37}, {2,52}, {4,42}, {5,25}, {1,31}, {2,53}, {5,58}, {1,51}, {6,30}, {6,55}, {6,43}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {6,18}, {2,48}, {4,52}, {5,61}, {2,16}, {3,39}, {2,32}, {1,12}, {5,18}, {1,23}, {6,50}, {5,30}, {6,46}, {4,48}, {5,46}, {1,60}, {5,49}, {5,14}, {1,28}, {3,11}, {3,27}, {4,54}, {4,28}, {3,29}, {6,23}, {1,43}, {4,46}, {5,42}, {1,52}, {6,15}, {5,41}, {4,36}, {2,17}, {6,51}, {5,54}, {3,19}, {1,24}, {6,27}, {6,26}, {3,23}, {1,39}, {3,21}, {6,19}, {4,58}, {6,54}, {6,62}, {1,15}, {6,14}, {1,35}, {6,42}, {3,53}, {4,40}, {2,21}, {5,33}, {2,29}, {4,34}, {1,16}, {4,14}, {1,47}, {6,38}, {2,40}, {6,34}, {6,10}, {3,55}, {5,10}, {5,26}, {4,18}, {5,9}, {1,8}, {4,12}, {4,20}, {5,13}, {5,45}, {3,41}, {1,48}, {3,31}, {2,12}, {2,8}, {6,59}, {6,39}, {3,47}, {5,21}, {3,59}, {2,60}, {5,37}, {5,62}, {6,35}, {4,44}, {4,32}, {5,57}, {1,36}, {5,53}, {2,49} }; // ETB62.30 // Bipartite(6,56) Valencies [28,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 19984143010544340487372800000000 EdgesBipt[62][30]:={ {2,44}, {6,48}, {3,33}, {3,60}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {1,10}, {4,53}, {1,56}, {4,30}, {5,55}, {3,9}, {4,29}, {1,57}, {1,32}, {3,43}, {3,25}, {3,15}, {1,40}, {5,56}, {4,19}, {4,62}, {3,35}, {5,47}, {2,26}, {2,62}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {5,32}, {2,54}, {2,42}, {6,22}, {6,29}, {3,17}, {3,7}, {4,38}, {6,21}, {2,25}, {5,40}, {6,40}, {4,60}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {6,58}, {1,55}, {5,11}, {2,10}, {5,29}, {2,38}, {2,52}, {5,43}, {6,8}, {1,31}, {3,12}, {4,45}, {3,44}, {6,30}, {5,23}, {4,21}, {3,20}, {3,51}, {2,20}, {2,57}, {6,18}, {4,59}, {4,52}, {5,61}, {3,39}, {4,35}, {1,23}, {6,50}, {6,24}, {6,46}, {5,24}, {5,7}, {1,9}, {1,58}, {5,48}, {6,56}, {4,13}, {6,61}, {3,11}, {3,27}, {4,54}, {4,28}, {1,33}, {4,43}, {4,46}, {2,17}, {4,36}, {1,42}, {3,19}, {1,24}, {5,31}, {1,49}, {6,26}, {5,59}, {3,23}, {1,39}, {1,25}, {6,54}, {5,51}, {6,62}, {1,15}, {6,14}, {5,39}, {4,37}, {6,42}, {4,51}, {6,45}, {1,26}, {2,22}, {1,16}, {4,14}, {5,8}, {1,47}, {6,38}, {6,34}, {6,10}, {3,55}, {5,27}, {2,58}, {4,11}, {1,8}, {4,12}, {4,20}, {5,13}, {3,28}, {1,41}, {5,45}, {3,41}, {1,48}, {3,31}, {2,12}, {5,15}, {6,37}, {3,47}, {5,19}, {5,21}, {2,30}, {4,61}, {3,59}, {6,53}, {6,13}, {5,35}, {2,18}, {1,34}, {2,60}, {5,37}, {3,36}, {4,44}, {5,53}, {2,50}, {2,49}, {5,16} }; // ETB62.31 // Bipartite(31,31) Valencies [30,30] // Diameter 3 Girth 4 // Twin-free VT AT // Automorphism group of order 16445677308355845635451125760000000 EdgesBipt[62][31]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {30,47}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {28,38}, {13,49}, {28,62}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {30,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {27,37}, {2,39}, {12,56}, {31,34}, {9,53}, {9,62}, {29,46}, {20,47}, {28,43}, {30,61}, {21,50}, {18,60}, {1,61}, {26,54}, {31,33}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {24,44}, {31,58}, {31,47}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {13,44}, {17,39}, {13,58}, {6,53}, {1,49}, {21,52}, {31,35}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {30,34}, {13,47}, {17,36}, {10,35}, {13,40}, {29,53}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {26,59}, {9,43}, {3,38}, {15,58}, {30,32}, {6,42}, {11,55}, {29,36}, {30,33}, {14,43}, {4,60}, {20,34}, {2,42}, {1,32}, {9,37}, {27,38}, {20,49}, {7,54}, {10,50}, {23,42}, {29,62}, {11,35}, {10,52}, {16,39}, {10,45}, {22,56}, {30,58}, {20,33}, {1,58}, {7,48}, {14,56}, {29,42}, {20,32}, {11,33}, {18,44}, {28,46}, {5,47}, {29,51}, {16,54}, {31,49}, {11,32}, {22,43}, {22,59}, {26,48}, {28,37}, {5,61}, {15,55}, {24,41}, {8,61}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {30,55}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {11,52}, {17,51}, {25,60}, {11,45}, {19,59}, {10,49}, {27,43}, {31,60}, {12,39}, {17,53}, {2,36}, {11,58}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {30,41}, {29,54}, {10,60}, {14,38}, {4,49}, {20,58}, {16,51}, {23,62}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {22,39}, {11,50}, {6,62}, {27,59}, {8,33}, {2,48}, {2,62}, {16,53}, {6,48}, {20,35}, {17,48}, {30,45}, {26,38}, {30,49}, {5,34}, {13,35}, {3,59}, {26,53}, {10,40}, {29,37}, {20,60}, {17,42}, {18,47}, {31,55}, {23,36}, {8,41}, {30,60}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {19,46}, {17,37}, {26,62}, {1,60}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {31,41}, {8,34}, {15,50}, {26,43}, {24,52}, {7,62}, {12,62}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {31,37}, {14,39}, {26,51}, {31,45}, {30,57}, {27,46}, {5,35}, {24,35}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {29,48}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {30,50}, {16,43}, {13,45}, {9,59}, {21,44}, {10,44}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, 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{10,42}, {10,48}, {1,38}, {28,61}, {18,36}, {4,54}, {26,60}, {7,60}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {30,53}, {30,62}, {27,33}, {14,34}, {23,49}, {30,54}, {29,40}, {26,41}, {27,32}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {27,34}, {4,48}, {31,43}, {1,62}, {23,40}, {1,51}, {22,52}, {15,38}, {11,46}, {30,51}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {28,47}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {29,58}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {11,43}, {3,57}, {6,47}, {15,62}, {23,47}, {23,44}, {12,60}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {31,44}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {6,58}, {22,32}, {8,39}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {31,53}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {31,51}, {27,50}, {11,38}, {12,41}, {6,40}, {31,40}, {18,48}, {25,41}, 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{3,37}, {4,34}, {27,48} }; // ETB62.33 // Bipartite(30,32) Valencies [32,30] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 69796207001437515315691732806410870619423904426151116800000000000000 EdgesBipt[62][33]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {30,47}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {13,49}, {28,53}, {28,62}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {30,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {9,62}, {29,46}, {20,47}, {15,49}, {28,43}, {30,61}, {21,50}, {18,60}, {1,61}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {30,31}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, 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{30,51}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {28,47}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {29,58}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {15,62}, {23,47}, {23,44}, {12,60}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {6,58}, {22,32}, {8,39}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {11,62}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {9,58}, {29,38}, {22,42}, {30,44}, {1,46}, {27,52}, {8,51}, {18,34}, {30,46}, {15,46}, {18,31}, {27,57}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {17,61}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {29,61}, {30,40}, {27,60}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {19,54}, {13,55}, {25,59}, {6,46}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {13,62}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB62.34 // Bipartite(29,33) Valencies [33,29] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 76775827701581266847260906087051957681366294868766228480000000000000 EdgesBipt[62][34]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {25,30}, {13,49}, {28,53}, {4,30}, {28,62}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {9,62}, {29,46}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {1,61}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {13,40}, {29,53}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {29,36}, {14,43}, {4,60}, {20,34}, {1,33}, 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{7,41}, {24,53}, {21,41}, {22,45}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {11,62}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {29,38}, {22,42}, {1,46}, {27,52}, {8,51}, {18,34}, {15,46}, {18,31}, {27,57}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {17,61}, {6,43}, {27,54}, {19,45}, {7,57}, {5,53}, {29,61}, {27,60}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {13,62}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB62.35 // Bipartite(28,34) Valencies [34,28] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 90013039374267692165754165757233329695394966397863854080000000000000 EdgesBipt[62][35]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {16,29}, {25,30}, {13,49}, {28,53}, {4,30}, {28,62}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {9,62}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {1,61}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, 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{19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB62.37 // Bipartite(26,36) Valencies [36,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 150021732290446153609590276262055549492324943996439756800000000000000 EdgesBipt[62][37]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {13,49}, {4,30}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {26,54}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {5,61}, {26,27}, {15,55}, {24,41}, {8,61}, {17,28}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {11,52}, {17,51}, {11,45}, {25,60}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, 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{15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {18,62}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {14,44}, {20,54}, {25,51}, {7,49}, {22,58}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {25,29}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {24,27}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {25,42}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {25,62}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {7,55}, {12,55}, {4,51}, {8,38}, {21,62}, {17,45}, {22,61}, {26,58}, {15,27}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {5,56}, {8,56}, {16,32}, 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{3,35}, {15,53}, {26,28}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {15,62}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {19,29}, {21,37}, {19,57}, {23,58}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {11,62}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {26,29}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {13,62}, {9,27}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34} }; // ETB62.38 // Bipartite(25,37) Valencies [37,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 213492465182557987829032316219079051200616266456471961600000000000000 EdgesBipt[62][38]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {25,30}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {23,26}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,26}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {1,33}, {23,29}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, 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{14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {22,60}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34} }; // ETB62.40 // Bipartite(23,39) Valencies [39,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 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{6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {5,49}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23} }; // ETB62.43 // Bipartite(20,42) Valencies [42,20] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3418242205381446233588316626641286247444491589572634869760000000000000 EdgesBipt[62][43]:={ {15,47}, {8,40}, {8,58}, {7,36}, {2,61}, {16,56}, {9,22}, {1,47}, {18,24}, {19,37}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {5,55}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {15,21}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {18,60}, {1,61}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {12,59}, {7,56}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {13,47}, {17,36}, {10,35}, {13,40}, {14,22}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {4,21}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,21}, {17,23}, {10,45}, {10,25}, {7,48}, {1,58}, {20,33}, {14,56}, {11,33}, {18,40}, {20,32}, {14,59}, {18,44}, {5,47}, {19,22}, {16,54}, {16,26}, {3,22}, {5,24}, {11,32}, {5,61}, {15,55}, {8,61}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {17,54}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {16,22}, {10,49}, {19,59}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {17,62}, {19,56}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {11,50}, {19,26}, {6,62}, {8,33}, {5,31}, {2,48}, {2,62}, {16,53}, {6,48}, {20,35}, {17,48}, {9,23}, {5,34}, {9,29}, {13,35}, {14,26}, {3,59}, {7,27}, {10,40}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {8,41}, {5,32}, {13,61}, {5,33}, {20,50}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {7,22}, {12,22}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,62}, {12,62}, {7,51}, {20,41}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {16,43}, {13,45}, {18,21}, {8,30}, {9,59}, {13,31}, {10,44}, {2,28}, {15,28}, {6,28}, {14,21}, {11,41}, {9,56}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {7,43}, {12,43}, {8,23}, {5,45}, {3,21}, {5,36}, {12,46}, {4,27}, {9,42}, {13,50}, {3,25}, {1,37}, {13,23}, {12,40}, {11,60}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {9,31}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {4,22}, {10,22}, {17,24}, {15,37}, {7,44}, {2,41}, {16,62}, {10,61}, {5,60}, {6,56}, {3,62}, {8,36}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {19,21}, {20,37}, {17,59}, {5,23}, {12,44}, {11,23}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {14,62}, {12,47}, {5,28}, {20,57}, {2,35}, {17,33}, {10,26}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {16,21}, {5,37}, {11,59}, {9,24}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {20,23}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,21}, {7,47}, {19,40}, {18,22}, {8,37}, {8,48}, {12,25}, {14,49}, {20,36}, {6,31}, {1,23}, {12,61}, {6,45}, {12,21}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {2,34}, {9,60}, {13,37}, {20,42}, {7,61}, {6,34}, {2,21}, {15,56}, {18,28}, {15,59}, {6,21}, {2,32}, {6,33}, {12,49}, {18,38}, {1,42}, {4,29}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {18,62}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {17,57}, {16,49}, {18,46}, {4,39}, {18,43}, {2,52}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {14,41}, {13,22}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {8,22}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {4,23}, {5,22}, {3,47}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {17,21}, {15,27}, {8,59}, {11,22}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {3,41}, {20,38}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {20,62}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {20,22}, {18,36}, {18,23}, {4,54}, {7,60}, {12,24}, {3,33}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {15,22}, {12,45}, {5,46}, {1,22}, {14,34}, {7,24}, {11,27}, {6,49}, {2,49}, {10,37}, {15,51}, {18,59}, {4,48}, {1,62}, {9,21}, {1,51}, {9,25}, {19,31}, {3,30}, {15,38}, {11,46}, {17,55}, {20,43}, {9,61}, {7,52}, {16,41}, {7,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {13,21}, {15,62}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {6,22}, {18,56}, {14,32}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {2,22}, {3,29}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {19,29}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {5,21}, {3,45}, {11,62}, {18,32}, {20,40}, {7,28}, {16,60}, {14,23}, {19,36}, {20,44}, {18,33}, {9,26}, {13,51}, {17,47}, {10,24}, {9,58}, {16,28}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {5,62}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {17,22}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {8,21}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {20,21}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {5,49}, {11,21}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23}, {1,21} }; // ETB62.44 // Bipartite(19,43) Valencies [43,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7349220741570109402214880747278765432005656917581164969984000000000000 EdgesBipt[62][44]:={ {15,47}, {8,40}, {8,58}, {7,36}, {2,61}, {16,56}, {9,22}, {1,47}, {18,24}, {19,37}, {9,51}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {5,55}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {15,21}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {1,20}, {9,53}, {9,62}, {19,27}, {15,49}, {18,60}, {1,61}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {12,59}, {7,56}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {17,29}, {15,20}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {13,47}, {17,36}, {10,35}, {13,40}, {14,22}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {18,41}, {11,49}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {4,21}, {12,42}, {14,43}, {4,60}, {4,25}, {1,33}, {2,42}, {1,32}, {9,37}, {6,29}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,21}, {17,23}, {10,45}, {10,25}, {7,48}, {1,58}, {14,56}, {11,33}, {18,40}, {14,59}, {18,44}, {5,47}, {19,22}, {16,54}, {16,26}, {3,22}, {5,24}, {11,32}, {5,61}, {11,20}, {15,55}, {8,61}, {17,28}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {17,54}, {5,20}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {16,22}, {10,49}, {19,59}, {12,39}, {17,53}, {6,36}, {2,36}, {11,58}, {17,62}, {19,56}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {14,46}, {11,34}, {8,32}, {7,39}, {11,50}, {19,26}, {6,62}, {8,33}, {8,20}, {5,31}, {2,48}, {2,62}, {16,53}, {6,48}, {17,48}, {9,23}, {5,34}, {9,29}, {13,35}, {14,26}, {3,59}, {7,27}, {10,40}, {13,30}, {17,42}, {18,47}, {13,20}, {16,27}, {8,41}, {5,32}, {13,61}, {5,33}, {8,31}, {19,46}, {17,37}, {1,60}, {7,22}, {12,22}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,62}, {12,62}, {7,51}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {16,43}, {13,45}, {18,21}, {8,30}, {9,59}, {13,31}, {10,44}, {2,28}, {15,28}, {6,28}, {14,21}, {11,41}, {9,56}, {14,25}, {12,53}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {6,24}, {9,32}, {2,24}, {9,33}, {9,20}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {7,43}, {12,43}, {8,23}, {5,45}, {3,21}, {5,36}, {12,46}, {4,27}, {9,42}, {13,50}, {3,25}, {1,37}, {13,23}, {12,40}, {11,60}, {8,52}, {1,28}, {8,45}, {7,46}, {13,42}, {16,38}, {9,31}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {4,22}, {10,22}, {17,24}, {15,37}, {7,44}, {2,41}, {16,62}, {10,61}, {5,60}, {6,56}, {3,62}, {8,36}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {19,21}, {17,59}, {5,23}, {12,44}, {11,23}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {4,61}, {19,53}, {8,60}, {19,49}, {7,40}, {17,56}, {16,47}, {5,52}, {13,48}, {18,27}, {11,37}, {4,26}, {14,55}, {2,30}, {1,29}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {14,62}, {12,47}, {5,28}, {2,35}, {17,33}, {10,26}, {17,20}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {16,21}, {5,37}, {11,59}, {9,24}, {6,20}, {11,56}, {5,54}, {2,20}, {1,36}, {9,52}, {4,46}, {7,25}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,21}, {7,47}, {19,40}, {18,22}, {8,37}, {8,48}, {12,25}, {14,49}, {6,31}, {1,23}, {12,61}, {6,45}, {12,21}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {2,34}, {9,60}, {13,37}, {7,61}, {6,34}, {2,21}, {15,56}, {18,28}, {15,59}, {6,21}, {2,32}, {6,33}, {12,49}, {18,38}, {1,42}, {7,20}, {4,29}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {18,62}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {1,26}, {14,44}, {15,26}, {7,49}, {12,20}, {1,56}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {17,57}, {16,49}, {18,46}, {4,39}, {18,43}, {2,52}, {16,35}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {14,41}, {13,22}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {8,22}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {7,33}, {12,31}, {7,32}, {13,27}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {4,23}, {5,22}, {3,47}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {17,45}, {17,21}, {15,27}, {8,59}, {3,20}, {11,22}, {16,20}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {3,41}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {19,20}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {4,28}, {17,58}, {1,27}, {19,34}, {8,26}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {18,23}, {4,54}, {7,60}, {12,24}, {14,20}, {3,33}, {12,52}, {17,40}, {14,57}, {1,53}, {12,50}, {15,22}, {12,45}, {5,46}, {1,22}, {14,34}, {7,24}, {11,27}, {6,49}, {2,49}, {10,37}, {15,51}, {18,59}, {4,48}, {1,62}, {9,21}, {1,51}, {9,25}, {19,31}, {3,30}, {15,38}, {11,46}, {17,55}, {9,61}, {7,52}, {16,41}, {7,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {13,21}, {15,62}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {6,22}, {18,56}, {14,32}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {2,22}, {3,29}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {19,29}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {5,21}, {3,45}, {11,62}, {18,32}, {7,28}, {16,60}, {14,23}, {19,36}, {18,33}, {9,26}, {18,20}, {13,51}, {17,47}, {10,24}, {9,58}, {16,28}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {5,62}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {17,22}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {8,21}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {9,55}, {4,20}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {10,20}, {12,57}, {17,26}, {9,39}, {4,59}, {19,60}, {17,43}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {5,49}, {11,21}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23}, {1,21} }; // ETB62.45 // Bipartite(18,44) Valencies [44,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17019248033109727036708144888435035737276258124924803088384000000000000 EdgesBipt[62][45]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {7,61}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {17,61}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {7,62}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,19}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {18,37}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {17,43}, {15,20}, {5,62}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {14,62}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {16,62}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {3,43}, {18,48}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {8,62}, {9,44}, {13,50}, {15,23}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {16,29}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {11,61}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {4,62}, {10,37}, {6,44}, {2,42}, {18,60}, {9,46}, {10,52}, {7,55}, {15,37}, {12,62}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {18,30}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {6,62}, {1,62}, {13,55}, {12,26}, {18,46}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {17,39}, {9,61}, {11,20}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {18,62}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {18,61}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,62}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.46 // Bipartite(17,45) Valencies [45,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 42548120082774317591770362221087589343190645312312007720960000000000000 EdgesBipt[62][46]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {17,61}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {17,29}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {17,19}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {17,43}, {15,20}, {17,18}, {5,62}, {17,45}, {14,33}, {17,25}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {16,62}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {17,53}, {10,18}, {10,20}, {17,26}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {3,36}, {16,48}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {8,62}, {9,44}, {13,50}, {15,23}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {17,36}, {17,23}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {16,29}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {17,50}, {6,53}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {11,61}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {4,62}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {12,62}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {15,18}, {17,34}, {6,62}, {1,62}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {17,58}, {6,18}, {17,39}, {9,61}, {11,20}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,62}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.47 // Bipartite(16,46) Valencies [46,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 115130207282801094660084509539413477046280569668608962068480000000000000 EdgesBipt[62][47]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {16,17}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {5,62}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {16,62}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {8,62}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {16,29}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {4,62}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {12,62}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {6,62}, {1,62}, {13,55}, {12,26}, {1,45}, {10,30}, {16,56}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {16,32}, {9,32}, {16,53}, {3,58}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.48 // Bipartite(15,47) Valencies [47,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 338194983893228215563998246772027088823449173401538826076160000000000000 EdgesBipt[62][48]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {15,16}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {5,62}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {8,62}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {4,62}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {12,62}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {6,62}, {1,62}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.49 // Bipartite(14,48) Valencies [48,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1082223948458330289804794389670486684235037354884924243443712000000000000 EdgesBipt[62][49]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,42}, {12,22}, {14,40}, {9,41}, {5,62}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {8,62}, {9,44}, {13,50}, {12,17}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {2,62}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {4,62}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {12,62}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {14,34}, {13,44}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {6,62}, {1,62}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.50 // Bipartite(13,49) Valencies [49,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3787783819604156014316780363846703394822630742097234852052992000000000000 EdgesBipt[62][50]:={ {13,25}, {3,42}, {7,49}, {6,36}, {13,40}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,42}, {12,22}, {9,41}, {5,62}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {8,62}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {2,62}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {12,62}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {13,20}, {3,38}, {2,43}, {13,21}, {13,44}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {6,62}, {1,62}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.51 // Bipartite(12,50) Valencies [50,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14568399306169830824295309091718089980087041315758595584819200000000000000 EdgesBipt[62][51]:={ {3,42}, {7,49}, {6,36}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {6,28}, {12,52}, {5,43}, {5,61}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {10,22}, {10,42}, {12,22}, {9,41}, {5,62}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {8,62}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {2,62}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {12,62}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {3,38}, {2,43}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {6,62}, {1,62}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.52 // Bipartite(11,51) Valencies [51,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 61915697051221781003255063639801882415369925591974031235481600000000000000 EdgesBipt[62][52]:={ {3,42}, {7,49}, {6,36}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {9,12}, {10,22}, {10,42}, {9,41}, {5,62}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {8,62}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {1,60}, {8,41}, {2,62}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {11,61}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {11,14}, {3,38}, {2,43}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {6,62}, {1,62}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {9,61}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {11,60}, {10,15}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.53 // Bipartite(10,52) Valencies [52,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 292692386060321146560842119024517989599930557343877238567731200000000000000 EdgesBipt[62][53]:={ {3,42}, {7,49}, {6,36}, {7,61}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {7,60}, {9,12}, {10,22}, {10,42}, {9,41}, {5,62}, {3,32}, {3,27}, {7,13}, {8,59}, {10,13}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {10,25}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {8,62}, {10,28}, {9,44}, {10,12}, {9,42}, {9,19}, {10,11}, {8,55}, {1,13}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {1,60}, {8,41}, {2,62}, {2,40}, {9,43}, {6,53}, {5,60}, {1,11}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {9,62}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {6,62}, {1,62}, {4,16}, {1,45}, {10,30}, {6,18}, {5,12}, {9,61}, {6,42}, {7,32}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {5,11}, {6,41}, {10,15}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.54 // Bipartite(9,53) Valencies [53,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1551269646119702076772463230829945344879631953922549364408975360000000000000 EdgesBipt[62][54]:={ {3,42}, {7,49}, {6,36}, {7,61}, {4,46}, {9,18}, {3,29}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {3,62}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {3,10}, {5,18}, {9,49}, {8,26}, {7,17}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {1,41}, {7,10}, {3,54}, {4,30}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {7,60}, {9,12}, {9,41}, {9,10}, {5,62}, {3,32}, {3,27}, {7,13}, {8,59}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {1,55}, {3,22}, {5,53}, {6,19}, {1,10}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {5,25}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {6,14}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {8,49}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {3,20}, {5,29}, {9,28}, {6,13}, {8,10}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {1,14}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {3,18}, {8,56}, {5,15}, {5,16}, {6,10}, {7,37}, {1,28}, {3,43}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {6,43}, {9,54}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {7,43}, {8,33}, {8,62}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {2,25}, {3,28}, {2,14}, {9,35}, {1,60}, {8,41}, {2,62}, {2,40}, {9,43}, {6,53}, {5,60}, {1,11}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {2,42}, {9,46}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {9,47}, {4,27}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {2,10}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {4,10}, {9,62}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {6,62}, {1,62}, {4,16}, {1,45}, {6,18}, {5,12}, {6,42}, {9,61}, {7,32}, {5,10}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {4,35}, {7,19}, {2,35}, {8,50}, {4,19}, {6,59}, {8,53}, {5,11}, {6,41}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB62.55 // Bipartite(8,54) Valencies [54,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9307617876718212460634779384979672069277791723535296186453852160000000000000 EdgesBipt[62][55]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {5,45}, {2,62}, {2,60}, {3,26}, {8,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {2,61}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {6,60}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {1,61}, {6,34}, {1,43}, {4,62}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {4,61}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {8,60}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {7,61}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {1,62}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {8,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {8,61}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {2,59}, {7,9}, {8,62}, {5,10}, {5,62}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {6,62}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {2,9}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {7,62}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB62.56 // Bipartite(7,55) Valencies [55,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 63989872902437710666864108271735245476284818099305161281870233600000000000000 EdgesBipt[62][56]:={ {6,52}, {7,48}, {6,38}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,62}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {2,61}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {6,60}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {1,61}, {6,34}, {1,43}, {4,62}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {4,61}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,8}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {7,61}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {7,52}, {6,37}, {6,43}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {1,62}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {2,38}, {2,59}, {7,9}, {5,10}, {5,62}, {6,53}, {6,55}, {7,44}, {7,43}, {6,62}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {7,62}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB62.57 // Bipartite(6,56) Valencies [56,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 511918983219501685334912866173881963810278544794441290254961868800000000000000 EdgesBipt[62][57]:={ {6,52}, {6,38}, {6,59}, {5,7}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,62}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {2,61}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {6,60}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {6,44}, {4,23}, {4,49}, {5,50}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {1,61}, {6,34}, {1,43}, {4,62}, {4,22}, {5,54}, {6,51}, {1,18}, {4,61}, {3,38}, {5,27}, {3,43}, {5,28}, {6,17}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {6,12}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {4,57}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {4,34}, {6,22}, {1,57}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {6,37}, {6,43}, {6,57}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {1,62}, {2,28}, {2,45}, {4,55}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {5,10}, {5,62}, {6,53}, {6,55}, {6,62}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {6,61}, {4,48}, {2,32}, {6,33}, {2,14}, {6,7}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB62.58 // Bipartite(5,57) Valencies [57,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4863230340585266010681672228651878656197646175547192257422137753600000000000000 EdgesBipt[62][58]:={ {5,7}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,62}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {5,57}, {3,35}, {5,6}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {4,51}, {1,35}, {2,7}, {2,61}, {4,37}, {4,40}, {2,46}, {2,33}, {4,38}, {3,49}, {1,12}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {2,6}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {2,56}, {4,23}, {4,49}, {5,50}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {1,61}, {1,43}, {4,62}, {4,22}, {5,54}, {1,18}, {4,61}, {3,38}, {5,27}, {3,43}, {5,28}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,36}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {1,22}, {4,57}, {5,19}, {1,6}, {1,25}, {2,20}, {4,17}, {5,39}, {3,32}, {2,16}, {5,40}, {4,50}, {4,34}, {1,57}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,59}, {5,31}, {2,19}, {3,60}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {1,62}, {2,28}, {2,45}, {4,55}, {5,46}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {3,6}, {1,53}, {3,15}, {5,51}, {1,14}, {1,34}, {5,21}, {2,50}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {5,10}, {5,62}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {4,6}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {2,32}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30} }; // ETB62.59 // Bipartite(4,58) Valencies [58,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56413471950789085723907397852361792411892695636347430186096797941760000000000000 EdgesBipt[62][59]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {2,61}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {4,62}, {3,58}, {3,35}, {3,37}, {2,26}, {2,62}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {3,61}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {4,60}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {1,61}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {4,47}, {4,33}, {4,21}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {4,59}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {4,57}, {1,23}, {2,6}, {4,48}, {1,60}, {1,45}, {1,9}, {1,58}, {4,55}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,62}, {3,21}, {2,7}, {1,25}, {1,46}, {4,58}, {1,53}, {1,15}, {2,11}, {1,35}, {4,5}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {1,62}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {2,58}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {3,59}, {4,61}, {2,18}, {1,54}, {1,34}, {2,60}, {2,43}, {4,17}, {3,36}, {4,39}, {4,44}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB62.60 // Bipartite(3,59) Valencies [59,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 832098711274139014427634118322336438075417260636124595244927769640960000000000000 EdgesBipt[62][60]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {2,46}, {3,22}, {2,56}, {3,8}, {3,40}, {1,10}, {1,56}, {2,61}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {2,19}, {1,19}, {2,27}, {3,35}, {3,58}, {2,4}, {3,37}, {2,26}, {2,62}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {3,61}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {3,34}, {2,25}, {3,46}, {1,38}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {3,49}, {1,18}, {3,14}, {1,55}, {1,5}, {2,5}, {1,44}, {2,10}, {2,38}, {2,37}, {2,52}, {2,39}, {3,56}, {1,31}, {3,12}, {1,61}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {2,32}, {3,4}, {1,12}, {1,23}, {2,6}, {1,60}, {1,45}, {1,9}, {1,58}, {1,28}, {3,11}, {3,50}, {3,27}, {1,33}, {3,29}, {3,10}, {1,43}, {3,26}, {1,52}, {2,17}, {1,42}, {3,19}, {1,24}, {1,49}, {3,23}, {1,39}, {3,62}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {3,16}, {3,53}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {3,48}, {1,62}, {2,47}, {1,47}, {2,40}, {2,31}, {3,55}, {2,58}, {3,42}, {1,4}, {3,38}, {1,8}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {3,59}, {2,18}, {1,54}, {1,34}, {2,60}, {2,43}, {3,36}, {1,36}, {2,50}, {2,49} }; // ETB62.61 // Bipartite(2,60) Valencies [60,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16641974225482780288552682366446728761508345212722491904898555392819200000000000000 EdgesBipt[62][61]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,61}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,61}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,57}, {2,9}, {1,4}, {1,59}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,58}, {2,4}, {2,24}, {1,58}, {2,27}, {2,43}, {1,60}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {1,62}, {2,49}, {2,51}, {1,42}, {2,6}, {2,59}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {1,28}, {2,60}, {2,7}, {1,47}, {1,45}, {2,62}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB62.62 // Bipartite(1,61) Valencies [61,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 507580213877224798800856812176625227226004528988036003099405939480985600000000000000 EdgesBipt[62][62]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,56}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,61}, {1,36}, {1,6}, {1,45}, {1,4}, {1,60}, {1,20}, {1,12}, {1,31}, {1,58}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,59}, {1,49}, {1,3}, {1,18}, {1,5}, {1,57}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,62}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 62 is 62 // ******************************************************************************************** // Order 63 // ETB63.1 // Bipartite(21,42) Valencies [4,2] // Diameter 7 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 84 EdgesBipt[63][1]:={ {6,56}, {5,33}, {5,36}, {13,58}, {2,37}, {19,61}, {8,31}, {15,36}, {1,29}, {20,51}, {11,25}, {3,55}, {1,32}, {7,41}, {20,52}, {21,44}, {9,38}, {15,63}, {15,29}, {4,43}, {14,34}, {14,57}, {12,40}, {9,46}, {16,33}, {18,41}, {4,30}, {17,49}, {8,44}, {12,60}, {3,47}, {19,27}, {10,47}, {18,54}, {3,25}, {11,32}, {14,53}, {9,27}, {14,35}, {21,28}, {17,38}, {6,48}, {21,62}, {6,57}, {18,30}, {4,63}, {7,49}, {9,51}, {5,54}, {10,52}, {18,31}, {5,58}, {13,55}, {7,59}, {12,50}, {13,23}, {10,37}, {1,53}, {19,45}, {2,42}, {3,34}, {8,26}, {12,22}, {7,39}, {2,23}, {11,45}, {17,43}, {10,28}, {21,59}, {1,22}, {15,42}, {4,35}, {13,48}, {20,40}, {8,61}, {20,39}, {19,60}, {16,56}, {17,24}, {6,24}, {2,50}, {11,62}, {16,26}, {16,46} }; // ETB63.2 // Bipartite(21,42) Valencies [4,2] // Diameter 8 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[63][2]:={ {7,48}, {16,36}, {17,39}, {14,34}, {5,52}, {17,27}, {11,61}, {1,31}, {20,53}, {10,43}, {13,48}, {18,42}, {19,40}, {2,33}, {6,32}, {9,39}, {3,30}, {20,42}, {10,63}, {17,54}, {12,25}, {5,26}, {15,28}, {14,27}, {6,54}, {16,53}, {9,58}, {10,36}, {6,49}, {8,28}, {19,26}, {18,38}, {2,32}, {7,58}, {15,49}, {19,51}, {10,24}, {13,59}, {8,35}, {3,23}, {4,45}, {11,62}, {18,50}, {15,33}, {14,44}, {4,25}, {21,55}, {8,40}, {13,22}, {6,29}, {8,57}, {4,51}, {2,43}, {3,35}, {12,44}, {5,46}, {5,45}, {13,55}, {3,59}, {17,37}, {21,56}, {14,47}, {21,23}, {18,52}, {15,41}, {9,29}, {20,34}, {7,46}, {19,41}, {12,62}, {16,60}, {7,50}, {20,31}, {2,60}, {16,38}, {1,47}, {4,61}, {21,63}, {11,24}, {1,57}, {1,30}, {12,37}, {11,56}, {9,22} }; // ETB63.3 // Bipartite(21,42) Valencies [4,2] // Diameter 21 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 88080384 EdgesBipt[63][3]:={ {5,33}, {13,54}, {3,40}, {1,50}, {8,60}, {6,34}, {13,58}, {10,27}, {4,41}, {2,52}, {4,47}, {19,46}, {1,29}, {11,25}, {3,55}, {21,23}, {20,35}, {1,43}, {6,55}, {18,42}, {10,48}, {21,44}, {15,24}, {19,53}, {19,25}, {6,30}, {16,60}, {7,45}, {17,42}, {15,45}, {16,32}, {8,43}, {21,37}, {9,29}, {5,47}, {10,31}, {2,31}, {11,46}, {13,33}, {2,38}, {17,63}, {9,36}, {20,28}, {12,41}, {2,59}, {11,40}, {17,36}, {21,58}, {17,57}, {5,54}, {12,62}, {10,52}, {14,51}, {7,38}, {12,56}, {15,28}, {7,59}, {8,22}, {3,34}, {14,23}, {19,32}, {6,51}, {18,27}, {9,50}, {18,48}, {12,35}, {20,49}, {5,26}, {16,53}, {11,61}, {3,61}, {16,39}, {14,44}, {18,63}, {9,57}, {4,26}, {1,22}, {20,56}, {13,37}, {15,49}, {4,62}, {7,24}, {8,39}, {14,30} }; // ETB63.4 // Bipartite(27,36) Valencies [4,3] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[63][4]:={ {27,39}, {11,58}, {27,60}, {8,39}, {25,47}, {12,60}, {4,58}, {9,30}, {11,33}, {8,36}, {5,35}, {19,60}, {10,48}, {13,57}, {5,34}, {22,58}, {7,38}, {4,49}, {23,39}, {23,62}, {22,57}, {25,44}, {24,51}, {14,42}, {26,50}, {13,62}, {21,44}, {15,59}, {18,55}, {12,56}, {8,44}, {16,53}, {24,40}, {7,28}, {3,41}, {11,34}, {17,31}, {20,59}, {19,30}, {11,53}, {16,47}, {26,48}, {6,46}, {2,32}, {23,41}, {2,36}, {24,38}, {10,41}, {15,49}, {5,43}, {10,37}, {1,55}, {17,63}, {13,35}, {16,29}, {27,51}, {26,30}, {18,54}, {2,40}, {7,52}, {17,33}, {18,48}, {1,59}, {22,50}, {6,29}, {20,37}, {17,36}, {25,37}, {6,31}, {12,55}, {3,42}, {3,52}, {5,38}, {15,63}, {6,56}, {21,49}, {8,43}, {27,53}, {1,62}, {21,52}, {20,32}, {22,45}, {21,56}, {19,42}, {15,51}, {14,47}, {18,43}, {4,54}, {9,61}, {26,63}, {16,28}, {9,29}, {20,34}, {24,46}, {14,40}, {1,28}, {7,50}, {14,54}, {9,32}, {13,31}, {19,35}, {10,46}, {3,33}, {4,61}, {25,57}, {12,45}, {23,61}, {2,45} }; // ETB63.5 // Bipartite(27,36) Valencies [4,3] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[63][5]:={ {18,41}, {8,39}, {8,31}, {25,47}, {15,43}, {4,55}, {18,53}, {23,38}, {21,47}, {6,51}, {19,60}, {4,40}, {22,58}, {27,34}, {24,29}, {26,61}, {16,56}, {15,40}, {9,37}, {9,57}, {14,35}, {24,45}, {15,29}, {13,38}, {25,60}, {11,54}, {16,33}, {20,61}, {3,31}, {21,62}, {10,30}, {3,48}, {5,49}, {11,49}, {7,28}, {13,51}, {5,33}, {19,54}, {15,34}, {13,44}, {10,36}, {7,41}, {4,46}, {7,58}, {23,55}, {6,59}, {11,63}, {13,60}, {26,53}, {27,56}, {8,53}, {5,29}, {17,46}, {10,33}, {25,50}, {26,37}, {22,48}, {2,58}, {19,43}, {9,48}, {26,43}, {21,30}, {3,52}, {18,32}, {5,38}, {1,63}, {25,39}, {2,54}, {14,61}, {20,44}, {17,37}, {19,36}, {23,31}, {14,47}, {24,35}, {20,52}, {4,32}, {6,42}, {17,50}, {12,42}, {8,45}, {20,63}, {12,62}, {14,55}, {16,42}, {18,49}, {12,32}, {21,34}, {3,36}, {23,28}, {1,28}, {7,50}, {17,59}, {6,35}, {12,52}, {9,56}, {24,57}, {27,41}, {10,46}, {22,40}, {11,59}, {2,62}, {22,51}, {1,57}, {27,44}, {1,30}, {16,39}, {2,45} }; // ETB63.6 // Bipartite(27,36) Valencies [4,3] // Diameter 6 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[63][6]:={ {19,45}, {7,39}, {11,58}, {10,60}, {4,58}, {5,57}, {5,50}, {6,41}, {4,49}, {23,39}, {27,34}, {25,32}, {7,62}, {19,63}, {8,46}, {25,51}, {4,44}, {13,62}, {22,36}, {7,51}, {10,62}, {10,63}, {19,33}, {15,29}, {9,31}, {1,52}, {26,56}, {27,31}, {3,55}, {18,55}, {22,61}, {6,54}, {3,41}, {12,30}, {11,34}, {17,58}, {16,59}, {27,37}, {20,38}, {13,44}, {23,45}, {17,48}, {27,43}, {25,53}, {24,38}, {4,33}, {6,59}, {14,50}, {16,52}, {5,43}, {8,35}, {12,28}, {2,35}, {3,47}, {5,28}, {12,29}, {17,61}, {22,50}, {17,51}, {8,40}, {25,41}, {23,42}, {10,59}, {9,33}, {21,30}, {22,60}, {19,53}, {2,43}, {24,44}, {2,48}, {15,42}, {18,28}, {20,56}, {18,46}, {1,39}, {11,40}, {1,49}, {13,55}, {20,47}, {14,53}, {21,54}, {24,32}, {20,57}, {24,35}, {8,54}, {26,49}, {21,37}, {6,42}, {26,60}, {26,46}, {9,29}, {14,52}, {21,61}, {18,45}, {15,56}, {12,32}, {2,63}, {14,40}, {3,36}, {11,47}, {16,38}, {9,36}, {23,34}, {13,37}, {1,30}, {16,31}, {15,48}, {7,57} }; // ETB63.7 // Bipartite(27,36) Valencies [4,3] // Diameter 8 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56623104 EdgesBipt[63][7]:={ {9,62}, {6,48}, {25,47}, {21,39}, {26,28}, {8,51}, {14,63}, {16,30}, {8,36}, {6,51}, {1,46}, {10,38}, {10,48}, {3,54}, {22,58}, {12,40}, {25,32}, {18,42}, {27,29}, {22,57}, {13,34}, {5,41}, {7,62}, {21,57}, {24,60}, {15,40}, {14,60}, {21,35}, {4,63}, {21,53}, {14,42}, {16,48}, {17,52}, {2,28}, {3,55}, {10,30}, {5,37}, {15,58}, {24,42}, {27,37}, {20,59}, {8,33}, {18,60}, {11,53}, {6,33}, {24,38}, {13,49}, {9,59}, {5,55}, {27,55}, {14,45}, {7,53}, {25,29}, {4,45}, {26,31}, {19,29}, {20,49}, {12,61}, {18,50}, {4,36}, {25,50}, {19,61}, {15,33}, {5,59}, {7,35}, {19,43}, {11,50}, {9,44}, {18,32}, {12,43}, {17,56}, {6,30}, {2,46}, {1,39}, {7,44}, {22,39}, {15,51}, {24,56}, {8,54}, {12,58}, {10,56}, {26,49}, {16,44}, {17,34}, {4,54}, {11,32}, {26,46}, {17,38}, {2,63}, {19,47}, {13,52}, {1,28}, {3,36}, {9,41}, {20,31}, {3,37}, {13,31}, {23,34}, {23,43}, {22,40}, {1,57}, {16,62}, {11,35}, {27,47}, {23,61}, {20,41}, {2,45}, {23,52} }; // ETB63.8 // Bipartite(21,42) Valencies [6,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 126 EdgesBipt[63][8]:={ {11,43}, {13,25}, {5,32}, {21,43}, {6,48}, {10,54}, {18,41}, {12,48}, {13,29}, {12,60}, {21,39}, {15,43}, {14,34}, {16,30}, {10,27}, {7,24}, {6,23}, {3,53}, {1,25}, {2,37}, {5,41}, {2,33}, {7,62}, {7,31}, {19,63}, {21,57}, {10,44}, {4,63}, {21,53}, {6,40}, {11,22}, {14,35}, {20,42}, {13,38}, {2,28}, {3,34}, {1,52}, {17,44}, {4,26}, {21,28}, {5,37}, {3,48}, {3,41}, {15,58}, {9,38}, {20,59}, {20,35}, {18,59}, {1,22}, {14,30}, {4,33}, {15,36}, {10,39}, {12,51}, {16,52}, {18,25}, {8,56}, {8,58}, {18,56}, {19,29}, {3,27}, {14,26}, {6,55}, {7,49}, {14,49}, {17,33}, {12,29}, {11,37}, {17,36}, {12,59}, {12,24}, {6,52}, {2,24}, {11,50}, {4,51}, {15,31}, {5,46}, {1,54}, {15,42}, {8,27}, {18,61}, {20,55}, {9,53}, {13,32}, {7,44}, {11,40}, {5,47}, {1,62}, {20,47}, {5,31}, {20,45}, {15,51}, {13,28}, {8,23}, {1,42}, {9,26}, {9,60}, {16,46}, {19,34}, {17,50}, {4,54}, {9,47}, {13,23}, {10,32}, {8,45}, {17,55}, {21,61}, {17,38}, {6,57}, {16,60}, {14,40}, {18,49}, {3,36}, {16,58}, {19,62}, {10,35}, {4,61}, {19,50}, {16,39}, {2,30}, {11,56}, {19,46}, {2,45}, {9,22}, {8,63}, {7,57} }; // ETB63.9 // Bipartite(21,42) Valencies [6,3] // Diameter 6 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 126 EdgesBipt[63][9]:={ {17,62}, {6,39}, {19,49}, {12,49}, {8,39}, {18,40}, {4,58}, {3,29}, {19,44}, {6,36}, {5,50}, {5,57}, {8,51}, {11,42}, {7,38}, {13,48}, {5,41}, {6,32}, {7,31}, {6,25}, {12,33}, {1,44}, {10,53}, {20,43}, {21,60}, {10,62}, {19,38}, {15,29}, {6,45}, {2,28}, {16,41}, {16,33}, {18,51}, {10,23}, {10,30}, {20,25}, {1,34}, {10,58}, {7,26}, {2,56}, {4,46}, {18,60}, {1,22}, {14,30}, {2,50}, {13,49}, {16,35}, {9,59}, {10,37}, {7,53}, {8,56}, {14,43}, {13,45}, {17,63}, {2,61}, {11,28}, {18,34}, {18,54}, {15,57}, {3,63}, {11,51}, {5,28}, {11,57}, {12,35}, {13,40}, {1,53}, {8,40}, {13,22}, {16,61}, {17,36}, {12,59}, {15,26}, {6,52}, {1,58}, {9,33}, {3,52}, {2,27}, {21,46}, {5,38}, {2,43}, {15,31}, {15,63}, {15,42}, {21,29}, {8,27}, {20,56}, {14,61}, {14,23}, {7,44}, {8,32}, {11,60}, {20,32}, {3,59}, {3,24}, {5,31}, {17,37}, {9,24}, {21,54}, {14,47}, {20,30}, {9,46}, {11,27}, {16,50}, {4,54}, {9,47}, {7,37}, {16,55}, {19,41}, {14,55}, {3,36}, {21,42}, {17,26}, {12,52}, {18,22}, {4,34}, {9,55}, {19,35}, {20,62}, {4,47}, {4,23}, {1,48}, {21,24}, {12,45}, {17,25}, {19,48}, {13,39} }; // ETB63.10 // Bipartite(21,42) Valencies [6,3] // Diameter 4 Girth 6 // Twin-free Non-VT Non-AT // Automorphism group of order 1008 EdgesBipt[63][10]:={ {16,34}, {9,40}, {11,58}, {19,49}, {2,38}, {12,60}, {8,59}, {9,30}, {18,44}, {5,42}, {9,42}, {18,53}, {10,57}, {10,48}, {3,54}, {7,33}, {18,37}, {2,33}, {8,55}, {6,32}, {16,40}, {21,35}, {4,44}, {13,62}, {13,42}, {7,23}, {6,62}, {7,51}, {17,52}, {11,54}, {3,31}, {6,34}, {6,58}, {20,51}, {3,51}, {3,55}, {3,48}, {5,49}, {15,39}, {17,31}, {17,23}, {15,22}, {19,26}, {15,25}, {1,22}, {21,59}, {8,47}, {10,41}, {14,50}, {7,25}, {10,24}, {15,46}, {14,43}, {13,45}, {13,35}, {2,61}, {11,46}, {21,33}, {13,61}, {1,59}, {10,29}, {11,37}, {1,53}, {19,55}, {8,60}, {4,38}, {6,52}, {12,23}, {14,32}, {2,24}, {1,58}, {12,38}, {17,22}, {14,36}, {8,57}, {1,63}, {16,27}, {21,29}, {5,27}, {17,56}, {10,28}, {18,61}, {2,39}, {11,40}, {9,28}, {20,44}, {14,53}, {19,36}, {20,45}, {21,56}, {12,36}, {4,56}, {20,30}, {5,48}, {9,26}, {12,63}, {4,54}, {15,41}, {7,32}, {2,26}, {8,62}, {20,34}, {7,37}, {16,43}, {16,60}, {18,57}, {4,50}, {14,29}, {15,47}, {18,49}, {6,24}, {17,28}, {13,31}, {3,43}, {4,47}, {9,50}, {1,30}, {11,35}, {16,39}, {19,52}, {5,25}, {12,45}, {19,46}, {20,41}, {5,63}, {21,27} }; // ETB63.11 // Bipartite(21,42) Valencies [6,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26330359136256 EdgesBipt[63][11]:={ {17,62}, {13,25}, {20,27}, {6,39}, {6,48}, {8,31}, {17,47}, {2,38}, {11,23}, {8,59}, {12,39}, {18,44}, {19,44}, {9,42}, {20,28}, {10,27}, {13,54}, {10,38}, {7,60}, {4,40}, {5,62}, {5,34}, {4,59}, {12,22}, {6,25}, {16,56}, {8,46}, {3,30}, {10,52}, {3,61}, {6,62}, {20,42}, {12,53}, {12,25}, {6,34}, {4,26}, {2,29}, {5,37}, {18,63}, {6,53}, {16,59}, {5,23}, {2,52}, {15,22}, {17,48}, {19,30}, {21,38}, {1,36}, {13,26}, {21,51}, {1,22}, {10,41}, {15,36}, {15,49}, {1,50}, {5,51}, {10,24}, {1,55}, {15,35}, {14,43}, {4,45}, {13,53}, {11,46}, {4,31}, {19,29}, {15,50}, {14,26}, {7,49}, {2,57}, {17,33}, {11,51}, {3,47}, {18,58}, {17,61}, {11,37}, {13,40}, {7,35}, {19,43}, {8,60}, {18,35}, {2,24}, {9,33}, {3,58}, {2,43}, {15,63}, {20,56}, {20,55}, {16,45}, {8,32}, {9,28}, {19,58}, {11,60}, {21,52}, {12,36}, {19,57}, {10,55}, {7,63}, {21,23}, {5,48}, {1,41}, {3,44}, {21,37}, {17,34}, {4,54}, {9,61}, {1,27}, {9,47}, {11,32}, {18,30}, {16,28}, {7,32}, {7,46}, {8,45}, {14,57}, {16,42}, {14,29}, {14,40}, {18,49}, {14,54}, {9,56}, {3,33}, {12,50}, {16,31}, {21,24}, {20,41}, {13,39} }; // ETB63.12 // Bipartite(21,42) Valencies [6,3] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 132120576 EdgesBipt[63][12]:={ {14,39}, {19,45}, {21,48}, {16,49}, {1,43}, {11,55}, {7,40}, {4,27}, {20,53}, {18,39}, {8,36}, {4,48}, {3,54}, {11,42}, {2,37}, {12,22}, {20,60}, {6,32}, {19,31}, {8,46}, {14,60}, {19,24}, {21,35}, {6,40}, {7,23}, {7,51}, {17,54}, {13,38}, {16,41}, {11,52}, {10,47}, {15,59}, {21,28}, {10,30}, {18,24}, {3,41}, {6,53}, {11,34}, {1,34}, {17,58}, {9,38}, {5,33}, {5,23}, {17,30}, {10,34}, {2,41}, {18,60}, {19,26}, {15,25}, {1,22}, {13,49}, {4,53}, {11,63}, {9,59}, {4,43}, {9,23}, {15,46}, {13,59}, {1,55}, {7,61}, {14,26}, {7,30}, {17,33}, {12,29}, {17,51}, {2,58}, {1,58}, {9,44}, {2,27}, {8,57}, {20,50}, {15,63}, {3,57}, {5,46}, {6,56}, {15,42}, {2,48}, {12,43}, {21,49}, {9,35}, {14,61}, {16,45}, {7,44}, {4,22}, {11,31}, {20,32}, {17,37}, {21,56}, {13,28}, {10,55}, {14,47}, {8,50}, {6,61}, {12,63}, {4,32}, {1,37}, {10,51}, {12,42}, {16,28}, {8,25}, {20,29}, {15,38}, {18,45}, {18,57}, {14,40}, {13,52}, {19,47}, {3,36}, {18,36}, {20,39}, {6,35}, {13,31}, {9,56}, {10,26}, {5,44}, {3,33}, {12,50}, {2,62}, {16,62}, {19,52}, {5,25}, {3,62}, {8,29}, {5,54}, {16,24}, {21,27} }; // ETB63.13 // Bipartite(14,49) Valencies [7,2] // Diameter 4 Girth 8 // Twin-free Non-VT Non-AT // Automorphism group of order 50803200 EdgesBipt[63][13]:={ {1,15}, {6,48}, {10,21}, {11,44}, {12,49}, {4,42}, {12,39}, {2,22}, {11,55}, {1,31}, {7,40}, {13,54}, {5,35}, {9,45}, {10,38}, {10,43}, {6,63}, {14,19}, {4,59}, {12,17}, {5,24}, {5,41}, {9,39}, {2,55}, {11,38}, {3,30}, {13,43}, {14,35}, {7,23}, {6,62}, {12,25}, {9,51}, {4,26}, {13,63}, {13,58}, {3,48}, {3,18}, {8,15}, {6,53}, {7,28}, {9,27}, {2,41}, {1,17}, {1,22}, {14,30}, {1,16}, {12,34}, {2,36}, {8,18}, {13,49}, {14,50}, {10,16}, {10,24}, {14,45}, {5,29}, {11,62}, {10,33}, {1,19}, {7,52}, {13,61}, {12,29}, {1,26}, {2,58}, {6,31}, {9,33}, {6,60}, {3,42}, {11,50}, {12,44}, {5,53}, {8,27}, {10,28}, {2,46}, {8,32}, {5,20}, {5,47}, {4,56}, {2,51}, {8,23}, {8,20}, {9,60}, {3,21}, {11,32}, {3,25}, {7,46}, {4,52}, {6,57}, {14,40}, {3,36}, {8,37}, {14,54}, {9,56}, {4,47}, {7,34}, {13,37}, {11,59}, {4,61}, {7,57} }; // ETB63.14 // Bipartite(21,42) Valencies [8,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[63][14]:={ {2,44}, {15,52}, {16,41}, {3,60}, {10,24}, {2,33}, {17,35}, {6,32}, {18,39}, {17,36}, {17,56}, {11,35}, {11,56}, {5,63}, {3,40}, {18,32}, {1,56}, {21,47}, {7,48}, {2,23}, {5,55}, {12,32}, {7,55}, {7,38}, {18,38}, {1,57}, {10,26}, {7,22}, {8,52}, {4,62}, {12,42}, {8,39}, {8,25}, {13,47}, {4,23}, {13,29}, {12,37}, {2,54}, {11,50}, {18,42}, {6,22}, {14,54}, {15,45}, {6,47}, {4,60}, {6,58}, {14,36}, {19,30}, {16,53}, {9,27}, {15,40}, {12,46}, {2,37}, {10,52}, {2,52}, {14,30}, {9,41}, {17,23}, {8,60}, {11,44}, {9,63}, {1,22}, {21,44}, {10,59}, {2,59}, {20,33}, {6,30}, {21,26}, {10,31}, {3,51}, {17,55}, {20,59}, {13,49}, {14,53}, {17,43}, {12,43}, {16,58}, {1,29}, {13,31}, {7,53}, {15,41}, {13,33}, {14,48}, {19,42}, {6,50}, {13,43}, {11,29}, {19,41}, {15,35}, {5,24}, {9,37}, {17,49}, {5,46}, {12,28}, {12,25}, {19,61}, {20,28}, {1,28}, {6,61}, {3,27}, {20,51}, {4,54}, {4,43}, {10,45}, {7,62}, {3,26}, {21,38}, {18,31}, {16,45}, {18,59}, {5,31}, {8,58}, {20,39}, {14,34}, {10,61}, {16,44}, {20,46}, {19,56}, {16,63}, {18,60}, {21,50}, {19,49}, {16,34}, {3,30}, {5,33}, {4,51}, {10,27}, {6,45}, {4,34}, {8,50}, {15,51}, {18,22}, {20,62}, {14,32}, {1,47}, {11,40}, {9,36}, {3,55}, {8,49}, {19,25}, {2,58}, {3,42}, {13,38}, {12,48}, {4,25}, {15,57}, {11,62}, {9,61}, {20,53}, {13,37}, {21,36}, {1,48}, {7,24}, {15,39}, {9,46}, {17,26}, {11,34}, {21,24}, {19,57}, {5,35}, {1,63}, {16,28}, {7,40}, {9,23}, {14,27}, {8,29}, {5,57}, {21,54} }; // ETB63.15 // Bipartite(21,42) Valencies [8,4] // Diameter 5 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 336 EdgesBipt[63][15]:={ {2,24}, {11,36}, {18,48}, {21,48}, {4,24}, {16,33}, {3,22}, {12,51}, {3,40}, {12,45}, {17,47}, {12,56}, {4,56}, {14,39}, {5,38}, {7,55}, {7,38}, {16,31}, {9,55}, {20,27}, {8,33}, {1,27}, {20,57}, {10,23}, {1,40}, {17,34}, {12,39}, {9,49}, {10,33}, {21,35}, {13,35}, {21,43}, {15,54}, {21,22}, {15,43}, {2,41}, {2,28}, {12,34}, {10,62}, {20,30}, {8,31}, {18,58}, {13,29}, {2,54}, {18,34}, {10,53}, {15,60}, {13,63}, {6,22}, {14,54}, {13,56}, {3,63}, {15,29}, {19,33}, {5,40}, {20,50}, {21,61}, {10,38}, {6,58}, {9,32}, {16,24}, {9,27}, {1,44}, {4,41}, {2,38}, {8,47}, {14,30}, {11,51}, {7,39}, {17,58}, {5,25}, {3,56}, {15,26}, {16,52}, {2,53}, {5,58}, {11,44}, {6,43}, {6,60}, {1,59}, {21,62}, {14,53}, {4,52}, {9,50}, {5,61}, {19,52}, {7,26}, {16,32}, {11,23}, {1,23}, {20,44}, {13,50}, {15,35}, {9,37}, {12,47}, {17,49}, {14,42}, {19,61}, {5,48}, {18,26}, {1,28}, {18,36}, {4,46}, {8,26}, {18,31}, {5,42}, {13,30}, {5,41}, {10,55}, {19,46}, {1,42}, {7,59}, {6,27}, {17,25}, {8,23}, {11,55}, {10,61}, {10,32}, {21,30}, {20,60}, {1,53}, {7,29}, {6,41}, {16,63}, {6,28}, {18,60}, {13,46}, {19,49}, {16,34}, {14,25}, {4,37}, {4,40}, {11,37}, {2,29}, {20,52}, {3,48}, {15,51}, {14,57}, {20,36}, {8,49}, {19,25}, {18,45}, {15,57}, {11,45}, {12,24}, {3,28}, {7,45}, {21,36}, {3,31}, {9,46}, {8,51}, {6,37}, {3,47}, {19,35}, {17,22}, {13,39}, {16,50}, {11,43}, {19,57}, {9,59}, {2,63}, {17,32}, {12,54}, {7,42}, {4,44}, {8,59}, {17,62}, {14,62} }; // ETB63.16 // Bipartite(21,42) Valencies [8,4] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 176160768 EdgesBipt[63][16]:={ {2,44}, {11,53}, {9,58}, {16,41}, {3,60}, {14,56}, {18,39}, {21,48}, {4,24}, {9,60}, {2,56}, {4,53}, {16,40}, {16,62}, {17,53}, {2,23}, {8,43}, {5,38}, {12,38}, {20,40}, {7,54}, {7,61}, {13,57}, {21,55}, {7,63}, {13,35}, {15,48}, {15,47}, {21,57}, {12,58}, {4,23}, {18,58}, {12,37}, {16,29}, {16,61}, {18,37}, {10,30}, {13,56}, {15,56}, {6,40}, {21,46}, {2,34}, {9,48}, {19,62}, {10,38}, {5,50}, {19,30}, {9,27}, {5,29}, {12,46}, {19,29}, {8,45}, {20,61}, {15,26}, {1,31}, {11,22}, {4,45}, {11,31}, {20,31}, {5,58}, {17,33}, {2,35}, {11,44}, {1,22}, {15,27}, {21,27}, {10,59}, {6,30}, {6,63}, {18,49}, {4,33}, {10,29}, {6,49}, {3,39}, {18,30}, {9,25}, {8,36}, {19,42}, {11,23}, {13,44}, {14,55}, {14,47}, {19,41}, {15,35}, {21,25}, {9,37}, {12,47}, {13,23}, {12,25}, {5,49}, {8,22}, {1,45}, {6,61}, {3,27}, {4,54}, {1,33}, {1,43}, {3,26}, {10,60}, {15,36}, {13,36}, {5,28}, {16,49}, {10,51}, {12,26}, {1,52}, {7,31}, {17,54}, {8,57}, {12,59}, {6,51}, {11,52}, {1,24}, {13,24}, {5,59}, {14,34}, {19,63}, {19,51}, {17,41}, {6,28}, {10,39}, {18,60}, {14,25}, {6,42}, {8,34}, {18,28}, {20,52}, {2,22}, {3,48}, {20,62}, {11,32}, {8,24}, {18,51}, {10,50}, {8,55}, {9,39}, {3,38}, {15,57}, {20,41}, {14,35}, {20,53}, {19,50}, {21,36}, {21,34}, {9,46}, {2,55}, {14,46}, {7,33}, {17,42}, {3,47}, {16,50}, {11,43}, {3,59}, {13,45}, {1,54}, {7,52}, {5,37}, {2,43}, {17,32}, {16,28}, {7,40}, {7,42}, {4,44}, {20,32}, {4,32}, {17,62}, {17,63}, {14,26} }; // ETB63.17 // Bipartite(21,42) Valencies [8,4] // Diameter 5 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 352321536 EdgesBipt[63][17]:={ {2,44}, {8,48}, {21,23}, {9,58}, {17,50}, {10,24}, {11,36}, {18,61}, {16,26}, {9,60}, {4,26}, {2,56}, {15,46}, {12,45}, {16,27}, {2,23}, {12,22}, {16,47}, {8,54}, {1,57}, {8,33}, {1,27}, {10,23}, {7,41}, {13,57}, {14,38}, {12,41}, {10,33}, {12,42}, {3,58}, {7,63}, {21,59}, {3,37}, {13,35}, {18,56}, {14,31}, {15,47}, {19,48}, {7,51}, {21,43}, {21,22}, {10,44}, {18,41}, {5,32}, {16,23}, {15,63}, {8,27}, {18,34}, {10,53}, {6,22}, {15,25}, {11,28}, {14,54}, {6,29}, {13,56}, {19,28}, {5,40}, {4,60}, {14,33}, {2,36}, {20,55}, {3,49}, {1,55}, {16,24}, {19,30}, {15,40}, {8,47}, {11,49}, {11,51}, {10,54}, {15,26}, {20,31}, {2,35}, {17,33}, {9,63}, {21,44}, {6,30}, {4,47}, {6,43}, {15,42}, {9,42}, {2,57}, {18,55}, {12,43}, {5,61}, {7,50}, {7,30}, {11,57}, {6,50}, {6,24}, {11,30}, {9,37}, {17,49}, {8,53}, {14,58}, {3,50}, {14,37}, {10,45}, {7,62}, {3,29}, {16,48}, {4,46}, {13,36}, {21,38}, {17,31}, {8,26}, {17,52}, {18,62}, {15,61}, {5,41}, {14,59}, {13,60}, {17,54}, {21,39}, {6,51}, {17,28}, {19,46}, {9,40}, {16,45}, {8,32}, {12,62}, {5,31}, {11,55}, {10,32}, {17,29}, {19,51}, {1,25}, {1,46}, {16,44}, {4,58}, {7,29}, {19,49}, {20,35}, {4,37}, {20,52}, {6,45}, {20,34}, {2,22}, {14,52}, {19,25}, {21,60}, {9,39}, {13,38}, {4,25}, {3,38}, {9,61}, {12,24}, {3,28}, {20,53}, {1,48}, {18,40}, {13,59}, {11,34}, {20,56}, {13,39}, {3,59}, {1,34}, {2,43}, {5,62}, {12,63}, {4,39}, {18,35}, {7,42}, {20,32}, {5,52}, {19,27}, {1,36}, {5,53} }; // ETB63.18 // Bipartite(21,42) Valencies [8,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 704643072 EdgesBipt[63][18]:={ {17,57}, {21,23}, {11,53}, {10,25}, {17,36}, {16,33}, {4,26}, {5,63}, {11,61}, {1,56}, {16,27}, {4,30}, {18,38}, {20,27}, {20,57}, {19,24}, {7,44}, {13,57}, {14,38}, {12,39}, {8,52}, {15,44}, {7,63}, {15,48}, {2,26}, {17,24}, {2,62}, {2,41}, {13,47}, {2,28}, {17,40}, {8,31}, {13,29}, {10,53}, {6,22}, {14,54}, {7,58}, {21,52}, {6,29}, {16,30}, {15,29}, {3,34}, {11,33}, {4,60}, {14,33}, {19,62}, {10,38}, {3,49}, {18,57}, {15,40}, {17,61}, {12,46}, {12,49}, {2,37}, {16,54}, {19,29}, {8,45}, {7,32}, {20,31}, {9,63}, {1,22}, {15,27}, {21,44}, {10,59}, {6,55}, {4,47}, {6,63}, {6,43}, {9,54}, {21,62}, {9,42}, {17,43}, {7,53}, {18,30}, {9,25}, {18,44}, {15,50}, {6,50}, {5,30}, {13,50}, {19,41}, {5,24}, {8,53}, {12,28}, {1,60}, {12,25}, {5,49}, {1,58}, {13,25}, {4,55}, {20,58}, {14,41}, {3,27}, {18,36}, {10,46}, {21,31}, {16,48}, {1,43}, {5,28}, {13,36}, {5,42}, {15,61}, {11,54}, {14,59}, {21,39}, {16,51}, {8,32}, {14,22}, {18,59}, {12,40}, {1,39}, {10,32}, {19,45}, {5,51}, {19,56}, {18,23}, {13,46}, {1,35}, {20,48}, {1,37}, {16,56}, {20,37}, {13,26}, {6,42}, {11,26}, {10,35}, {7,23}, {8,34}, {4,51}, {16,35}, {20,52}, {4,34}, {3,48}, {11,32}, {8,24}, {2,47}, {18,51}, {11,40}, {9,33}, {20,36}, {6,34}, {3,55}, {11,47}, {14,43}, {8,55}, {2,58}, {21,60}, {10,56}, {17,45}, {3,38}, {9,52}, {3,28}, {15,23}, {19,50}, {5,45}, {9,46}, {12,61}, {19,35}, {17,22}, {3,59}, {7,37}, {9,31}, {21,41}, {4,39}, {7,42}, {14,62}, {2,49}, {12,60} }; // ETB63.19 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[63][19]:={ {16,41}, {17,50}, {14,56}, {9,28}, {2,33}, {17,35}, {18,39}, {11,36}, {21,45}, {11,35}, {13,40}, {23,29}, {15,46}, {16,40}, {21,32}, {8,43}, {2,51}, {16,47}, {8,42}, {19,44}, {18,38}, {17,34}, {4,31}, {25,50}, {25,29}, {26,59}, {21,59}, {15,48}, {24,51}, {14,31}, {25,30}, {26,33}, {11,41}, {2,62}, {19,48}, {15,54}, {14,50}, {15,43}, {21,57}, {12,58}, {3,57}, {9,53}, {12,34}, {23,43}, {9,35}, {17,46}, {12,37}, {13,63}, {23,44}, {24,60}, {18,37}, {7,58}, {23,52}, {15,45}, {15,29}, {4,38}, {13,61}, {6,40}, {26,45}, {20,55}, {10,38}, {7,57}, {19,40}, {27,28}, {6,58}, {19,30}, {22,34}, {1,44}, {8,41}, {8,47}, {11,49}, {10,52}, {2,52}, {12,44}, {19,29}, {7,46}, {7,39}, {17,58}, {22,56}, {26,60}, {20,61}, {8,60}, {4,45}, {27,40}, {1,61}, {2,53}, {20,31}, {22,57}, {17,33}, {6,55}, {6,63}, {27,62}, {10,31}, {9,34}, {21,62}, {24,32}, {14,53}, {4,52}, {26,35}, {10,40}, {1,29}, {7,50}, {7,30}, {3,39}, {3,32}, {19,42}, {18,43}, {6,50}, {13,44}, {14,55}, {6,44}, {9,56}, {17,49}, {27,53}, {5,48}, {6,56}, {26,61}, {13,28}, {10,42}, {9,51}, {20,51}, {4,43}, {23,58}, {7,62}, {27,56}, {4,46}, {21,33}, {5,28}, {18,62}, {12,33}, {24,41}, {11,54}, {18,52}, {5,41}, {10,55}, {13,60}, {12,59}, {25,47}, {5,54}, {12,62}, {18,59}, {5,59}, {20,49}, {14,49}, {22,54}, {5,36}, {25,49}, {25,42}, {25,55}, {10,39}, {18,60}, {1,35}, {24,38}, {16,56}, {10,63}, {20,35}, {22,50}, {5,60}, {25,46}, {16,36}, {3,30}, {8,38}, {23,46}, {13,51}, {11,32}, {14,32}, {19,39}, {24,53}, {27,57}, {21,53}, {1,47}, {4,49}, {2,31}, {26,51}, {9,33}, {9,36}, {16,42}, {14,57}, {20,47}, {23,63}, {6,34}, {11,47}, {22,48}, {2,58}, {3,42}, {12,48}, {27,37}, {17,45}, {3,38}, {11,45}, {13,37}, {27,39}, {15,59}, {8,61}, {3,41}, {1,48}, {3,54}, {26,43}, {15,30}, {22,30}, {22,36}, {1,34}, {7,52}, {5,37}, {20,63}, {2,63}, {16,28}, {19,37}, {23,61}, {8,29}, {4,32}, {24,28}, {24,31}, {1,36}, {16,55}, {21,54} }; // ETB63.20 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[63][20]:={ {15,52}, {25,31}, {21,48}, {16,33}, {24,48}, {15,46}, {26,62}, {17,47}, {12,56}, {25,39}, {8,30}, {5,55}, {25,56}, {16,47}, {12,32}, {19,44}, {21,58}, {18,38}, {20,57}, {7,44}, {7,61}, {9,44}, {18,63}, {23,54}, {9,49}, {13,53}, {3,35}, {16,59}, {9,43}, {3,37}, {13,35}, {24,51}, {22,32}, {2,62}, {7,36}, {15,43}, {3,52}, {13,47}, {9,53}, {12,34}, {18,58}, {12,50}, {16,29}, {2,42}, {10,53}, {15,60}, {18,42}, {10,30}, {2,45}, {15,29}, {19,33}, {20,38}, {26,45}, {21,61}, {26,28}, {7,57}, {4,41}, {8,41}, {2,37}, {2,52}, {14,30}, {7,46}, {17,58}, {9,41}, {22,56}, {20,61}, {26,40}, {8,60}, {4,45}, {7,43}, {11,31}, {25,28}, {17,33}, {21,44}, {19,38}, {2,59}, {20,33}, {27,62}, {10,31}, {27,31}, {9,34}, {25,54}, {6,49}, {15,42}, {24,32}, {14,53}, {22,51}, {10,40}, {12,43}, {1,29}, {3,39}, {7,53}, {8,36}, {4,57}, {21,51}, {14,47}, {6,44}, {15,35}, {11,30}, {5,49}, {15,34}, {1,45}, {19,58}, {17,48}, {4,55}, {1,28}, {6,61}, {23,38}, {25,45}, {10,46}, {4,28}, {23,58}, {3,29}, {16,48}, {27,56}, {16,38}, {10,60}, {5,28}, {17,52}, {25,37}, {24,40}, {25,40}, {11,54}, {18,52}, {13,30}, {5,41}, {4,36}, {14,59}, {13,60}, {8,57}, {16,51}, {27,55}, {1,42}, {26,55}, {22,58}, {24,63}, {18,59}, {5,44}, {22,33}, {26,54}, {12,53}, {20,49}, {1,39}, {22,54}, {17,29}, {19,51}, {21,63}, {5,36}, {11,46}, {26,32}, {6,62}, {19,36}, {27,32}, {7,60}, {22,31}, {9,30}, {1,35}, {20,48}, {24,38}, {13,42}, {19,49}, {5,39}, {4,37}, {23,40}, {8,34}, {16,35}, {6,45}, {23,33}, {11,32}, {23,56}, {1,62}, {2,47}, {1,47}, {11,40}, {10,50}, {14,52}, {18,51}, {23,63}, {3,55}, {22,48}, {14,43}, {8,49}, {10,56}, {27,37}, {9,61}, {3,28}, {20,41}, {8,46}, {27,39}, {23,50}, {21,36}, {13,59}, {6,39}, {14,46}, {2,55}, {6,37}, {13,34}, {11,34}, {17,42}, {11,43}, {19,57}, {3,59}, {4,61}, {20,63}, {21,41}, {26,50}, {5,62}, {27,50}, {12,54}, {18,35}, {24,50}, {6,57}, {24,31}, {17,63}, {14,29}, {12,60} }; // ETB63.21 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[63][21]:={ {2,44}, {6,32}, {17,44}, {11,36}, {2,46}, {5,34}, {11,56}, {21,48}, {21,40}, {15,46}, {26,62}, {17,47}, {2,61}, {25,39}, {16,40}, {14,51}, {17,53}, {26,47}, {9,45}, {5,38}, {22,53}, {7,55}, {7,38}, {8,28}, {16,57}, {25,38}, {27,48}, {4,29}, {18,50}, {3,45}, {25,63}, {12,38}, {1,40}, {13,57}, {14,38}, {12,39}, {8,52}, {12,41}, {23,55}, {9,49}, {3,58}, {25,50}, {25,29}, {27,59}, {13,35}, {18,56}, {26,33}, {15,47}, {23,59}, {15,43}, {18,41}, {23,43}, {27,44}, {14,28}, {8,44}, {12,37}, {12,50}, {18,34}, {10,53}, {14,54}, {7,58}, {6,40}, {6,31}, {1,38}, {4,60}, {2,34}, {9,48}, {9,47}, {26,28}, {13,58}, {14,36}, {9,32}, {15,32}, {24,37}, {27,30}, {19,59}, {8,41}, {12,46}, {19,29}, {11,51}, {24,58}, {17,39}, {3,56}, {4,45}, {27,40}, {2,53}, {7,43}, {11,44}, {21,44}, {1,51}, {2,59}, {6,55}, {4,47}, {6,63}, {10,31}, {24,52}, {25,54}, {2,57}, {8,63}, {4,52}, {26,35}, {16,37}, {17,43}, {9,50}, {7,30}, {13,31}, {7,53}, {18,30}, {3,32}, {4,35}, {16,32}, {5,30}, {19,55}, {9,37}, {5,46}, {1,60}, {26,52}, {25,58}, {5,48}, {8,56}, {6,56}, {26,61}, {27,36}, {10,42}, {20,58}, {1,28}, {6,61}, {3,50}, {1,33}, {21,31}, {20,43}, {18,33}, {16,49}, {18,62}, {15,61}, {12,33}, {24,41}, {26,42}, {11,54}, {13,30}, {10,55}, {13,60}, {17,54}, {21,39}, {11,52}, {1,42}, {24,63}, {27,45}, {14,34}, {24,57}, {14,49}, {10,61}, {22,54}, {19,51}, {17,29}, {3,62}, {5,36}, {22,28}, {20,46}, {22,47}, {25,55}, {16,63}, {7,60}, {22,31}, {19,49}, {1,37}, {4,37}, {23,40}, {10,35}, {17,60}, {16,36}, {8,34}, {4,51}, {2,29}, {20,52}, {22,49}, {23,33}, {20,62}, {15,33}, {23,56}, {27,57}, {13,41}, {10,49}, {20,42}, {16,42}, {20,36}, {22,48}, {21,60}, {10,57}, {12,48}, {24,29}, {11,45}, {15,59}, {19,50}, {8,61}, {22,62}, {3,54}, {15,39}, {3,31}, {24,46}, {6,39}, {19,35}, {11,43}, {13,45}, {19,34}, {9,59}, {21,41}, {21,28}, {5,62}, {18,35}, {7,42}, {20,32}, {14,63}, {5,53}, {23,30}, {23,51} }; // ETB63.22 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[63][22]:={ {17,57}, {6,48}, {3,33}, {13,32}, {25,31}, {11,36}, {12,29}, {17,56}, {21,45}, {3,40}, {15,46}, {12,56}, {14,51}, {21,47}, {4,56}, {8,43}, {7,38}, {19,44}, {21,58}, {25,38}, {18,38}, {16,31}, {9,55}, {3,43}, {20,40}, {7,41}, {5,56}, {18,63}, {8,52}, {23,54}, {15,44}, {21,42}, {26,59}, {9,43}, {15,48}, {19,47}, {24,51}, {8,39}, {23,48}, {2,41}, {1,30}, {3,61}, {10,62}, {12,37}, {2,42}, {15,60}, {23,39}, {14,54}, {2,45}, {21,46}, {21,61}, {7,57}, {19,40}, {13,58}, {17,37}, {25,53}, {18,57}, {12,36}, {8,41}, {24,43}, {11,49}, {19,29}, {7,39}, {22,41}, {2,39}, {26,60}, {20,61}, {24,39}, {16,52}, {19,53}, {23,34}, {1,61}, {6,63}, {18,49}, {27,58}, {10,29}, {27,31}, {18,55}, {14,53}, {22,51}, {16,37}, {9,50}, {1,29}, {7,30}, {3,39}, {23,35}, {15,53}, {20,44}, {13,44}, {15,35}, {12,47}, {27,38}, {26,52}, {5,49}, {1,45}, {27,53}, {5,48}, {13,54}, {14,58}, {10,42}, {13,28}, {20,58}, {24,34}, {3,50}, {4,54}, {18,36}, {4,28}, {1,33}, {10,45}, {1,43}, {16,38}, {22,43}, {24,35}, {16,49}, {17,31}, {17,52}, {18,62}, {7,31}, {24,41}, {4,36}, {13,60}, {20,29}, {25,32}, {5,54}, {27,55}, {7,59}, {26,55}, {25,59}, {9,57}, {19,60}, {18,59}, {12,40}, {14,34}, {17,59}, {10,61}, {22,54}, {22,28}, {19,45}, {5,51}, {20,46}, {6,62}, {27,32}, {6,28}, {9,30}, {27,60}, {16,56}, {10,63}, {19,32}, {22,50}, {25,46}, {16,36}, {6,36}, {11,37}, {4,51}, {2,29}, {8,38}, {23,33}, {4,34}, {8,50}, {26,58}, {15,51}, {13,48}, {14,32}, {27,57}, {10,49}, {20,42}, {21,53}, {26,57}, {1,47}, {4,49}, {2,40}, {11,40}, {9,33}, {6,34}, {25,52}, {11,47}, {22,48}, {8,55}, {21,60}, {15,28}, {3,42}, {10,56}, {9,52}, {11,62}, {11,45}, {26,44}, {14,35}, {1,41}, {23,50}, {26,46}, {14,46}, {7,33}, {12,61}, {6,37}, {13,34}, {3,47}, {2,30}, {5,35}, {22,30}, {9,31}, {5,37}, {24,33}, {5,62}, {6,35}, {11,42}, {12,63}, {20,32}, {8,59}, {4,63}, {25,44}, {17,62}, {24,28}, {17,63}, {16,55}, {2,50}, {23,30} }; // ETB63.23 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[63][23]:={ {17,57}, {15,52}, {17,50}, {13,32}, {17,35}, {11,35}, {16,33}, {24,48}, {4,50}, {26,31}, {22,37}, {17,53}, {8,43}, {22,53}, {25,38}, {18,38}, {16,31}, {15,49}, {27,47}, {9,55}, {25,63}, {5,56}, {12,41}, {9,49}, {10,33}, {12,42}, {21,42}, {21,35}, {25,29}, {11,58}, {7,63}, {3,37}, {13,35}, {25,30}, {7,34}, {15,47}, {19,48}, {7,51}, {23,59}, {14,50}, {21,57}, {27,33}, {18,41}, {23,43}, {5,32}, {17,40}, {8,44}, {17,46}, {13,29}, {12,37}, {2,54}, {16,29}, {11,50}, {2,42}, {13,63}, {23,39}, {23,44}, {24,60}, {16,61}, {18,37}, {21,52}, {10,30}, {6,29}, {13,56}, {23,52}, {3,63}, {20,38}, {11,38}, {3,46}, {1,38}, {26,45}, {2,36}, {9,48}, {9,47}, {27,28}, {6,58}, {14,36}, {19,30}, {22,55}, {12,36}, {1,44}, {15,62}, {2,52}, {16,54}, {11,51}, {17,51}, {10,54}, {3,56}, {1,31}, {23,34}, {1,61}, {11,31}, {20,31}, {22,63}, {21,44}, {20,33}, {6,55}, {18,49}, {27,62}, {9,54}, {10,29}, {1,59}, {3,51}, {24,32}, {2,57}, {18,55}, {14,53}, {2,48}, {4,52}, {22,51}, {26,48}, {3,39}, {18,30}, {4,35}, {24,47}, {6,33}, {14,48}, {24,45}, {13,44}, {14,55}, {27,46}, {19,41}, {8,53}, {12,28}, {1,60}, {11,60}, {15,34}, {1,58}, {27,53}, {20,28}, {14,58}, {20,58}, {6,61}, {14,41}, {10,46}, {7,62}, {26,34}, {1,43}, {5,28}, {24,56}, {7,31}, {24,40}, {26,42}, {12,57}, {5,41}, {25,35}, {13,60}, {12,59}, {8,57}, {19,46}, {9,40}, {16,45}, {8,32}, {22,58}, {18,59}, {5,59}, {21,29}, {10,61}, {3,62}, {21,63}, {20,60}, {25,49}, {6,54}, {26,41}, {19,56}, {25,55}, {27,32}, {9,30}, {10,39}, {16,34}, {23,49}, {5,60}, {4,40}, {6,36}, {3,30}, {4,51}, {18,28}, {4,34}, {20,62}, {15,33}, {19,39}, {19,43}, {27,57}, {2,47}, {4,49}, {2,40}, {11,40}, {16,42}, {12,52}, {20,47}, {14,43}, {15,28}, {9,38}, {10,56}, {7,45}, {8,46}, {19,50}, {8,61}, {5,45}, {21,36}, {22,62}, {15,39}, {26,43}, {6,53}, {13,45}, {7,37}, {22,36}, {5,37}, {26,50}, {17,32}, {4,39}, {7,42}, {8,59}, {23,61}, {24,54}, {25,44} }; // ETB63.24 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[63][24]:={ {11,53}, {9,58}, {13,52}, {2,33}, {18,61}, {11,56}, {9,60}, {2,56}, {26,62}, {26,31}, {7,48}, {17,53}, {16,47}, {16,57}, {15,49}, {27,47}, {27,48}, {9,55}, {25,63}, {3,43}, {7,54}, {9,44}, {12,39}, {4,31}, {21,55}, {12,41}, {9,49}, {21,42}, {12,55}, {5,47}, {25,29}, {18,54}, {18,56}, {14,31}, {8,39}, {7,34}, {22,32}, {19,48}, {7,51}, {21,43}, {24,44}, {10,44}, {12,58}, {3,57}, {1,30}, {23,43}, {18,58}, {13,29}, {16,29}, {23,39}, {25,60}, {6,29}, {23,52}, {20,38}, {13,61}, {3,46}, {10,48}, {11,33}, {7,56}, {1,50}, {19,62}, {27,28}, {6,58}, {1,55}, {15,32}, {22,34}, {15,40}, {2,38}, {8,47}, {15,62}, {2,37}, {19,29}, {11,51}, {7,46}, {22,41}, {2,39}, {17,39}, {20,61}, {24,42}, {16,52}, {7,43}, {10,28}, {20,31}, {2,35}, {23,36}, {1,51}, {3,44}, {25,34}, {11,59}, {4,33}, {6,49}, {15,42}, {9,42}, {20,59}, {2,48}, {22,51}, {26,37}, {3,32}, {23,37}, {18,44}, {15,50}, {13,33}, {24,45}, {11,29}, {5,30}, {14,47}, {19,41}, {27,38}, {17,49}, {8,53}, {1,60}, {26,52}, {17,48}, {13,54}, {6,61}, {26,56}, {14,41}, {14,37}, {4,54}, {10,46}, {27,61}, {4,46}, {10,60}, {8,37}, {21,33}, {15,36}, {5,28}, {24,35}, {17,31}, {27,42}, {25,40}, {13,30}, {12,57}, {5,41}, {8,57}, {6,51}, {21,56}, {16,51}, {26,55}, {22,58}, {25,59}, {18,59}, {5,44}, {8,40}, {26,54}, {27,45}, {12,30}, {21,30}, {21,63}, {20,60}, {25,49}, {1,53}, {22,47}, {16,63}, {10,63}, {20,37}, {23,49}, {14,45}, {4,40}, {10,35}, {17,60}, {25,43}, {6,36}, {18,28}, {6,45}, {23,46}, {10,36}, {8,50}, {11,32}, {24,53}, {27,57}, {20,36}, {14,43}, {2,58}, {16,46}, {15,28}, {3,42}, {13,38}, {9,38}, {17,45}, {9,52}, {11,62}, {7,45}, {14,35}, {22,40}, {19,50}, {3,41}, {18,40}, {12,31}, {12,61}, {13,34}, {19,35}, {19,57}, {3,59}, {19,34}, {1,34}, {21,28}, {24,33}, {26,50}, {5,62}, {6,35}, {4,39}, {20,32}, {8,59}, {14,63}, {4,63}, {5,52}, {4,32}, {24,50}, {24,54}, {17,62}, {1,36}, {16,55}, {5,53}, {22,38}, {23,30} }; // ETB63.25 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[63][25]:={ {6,48}, {2,44}, {16,41}, {17,50}, {17,35}, {11,56}, {5,63}, {12,51}, {2,56}, {25,51}, {12,45}, {4,53}, {18,32}, {4,30}, {8,30}, {16,40}, {21,32}, {7,48}, {8,43}, {9,45}, {5,38}, {16,47}, {16,57}, {1,57}, {22,46}, {3,43}, {7,41}, {1,40}, {5,56}, {4,62}, {12,42}, {21,42}, {22,52}, {13,53}, {25,29}, {7,63}, {21,59}, {27,59}, {19,47}, {25,30}, {26,33}, {8,39}, {2,62}, {15,54}, {12,35}, {21,57}, {3,52}, {9,53}, {3,61}, {10,62}, {14,28}, {15,63}, {13,29}, {2,54}, {11,50}, {2,42}, {15,60}, {24,60}, {16,61}, {3,63}, {3,34}, {22,45}, {3,46}, {10,48}, {6,31}, {20,50}, {21,46}, {14,33}, {27,54}, {2,36}, {20,55}, {10,38}, {3,49}, {6,58}, {17,37}, {1,55}, {14,36}, {15,32}, {15,40}, {12,49}, {10,52}, {5,43}, {2,39}, {26,40}, {19,53}, {23,34}, {25,28}, {19,38}, {11,59}, {18,49}, {27,58}, {9,54}, {10,29}, {23,41}, {22,44}, {27,31}, {9,34}, {23,62}, {24,32}, {4,59}, {18,55}, {4,52}, {26,48}, {9,50}, {16,58}, {26,37}, {23,35}, {18,44}, {6,33}, {8,36}, {4,57}, {20,44}, {21,51}, {13,50}, {14,47}, {17,30}, {6,46}, {9,56}, {12,47}, {1,60}, {18,53}, {15,34}, {19,61}, {20,28}, {26,38}, {8,35}, {20,45}, {19,31}, {20,58}, {23,57}, {1,28}, {14,37}, {23,38}, {25,45}, {27,49}, {4,54}, {26,34}, {18,33}, {24,56}, {17,31}, {26,42}, {18,52}, {10,58}, {5,41}, {7,47}, {8,32}, {22,39}, {27,55}, {7,59}, {19,60}, {5,44}, {25,57}, {11,55}, {10,61}, {10,32}, {14,49}, {27,41}, {17,29}, {11,46}, {5,51}, {1,53}, {22,47}, {13,46}, {1,35}, {16,56}, {7,28}, {23,49}, {4,37}, {5,60}, {25,43}, {16,36}, {6,36}, {25,61}, {11,37}, {2,29}, {6,45}, {8,38}, {13,51}, {20,62}, {13,48}, {19,39}, {13,41}, {18,51}, {11,40}, {9,33}, {14,43}, {8,55}, {24,29}, {9,61}, {26,44}, {22,40}, {27,39}, {23,50}, {21,36}, {1,48}, {3,31}, {21,34}, {17,42}, {13,39}, {11,43}, {15,30}, {22,30}, {7,52}, {20,63}, {24,33}, {6,35}, {12,54}, {7,42}, {19,37}, {24,28}, {24,31}, {14,62}, {17,63}, {15,58}, {12,60}, {24,59} }; // ETB63.26 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 216 EdgesBipt[63][26]:={ {17,57}, {2,44}, {8,48}, {11,53}, {13,52}, {9,28}, {18,61}, {17,56}, {21,48}, {23,29}, {25,51}, {26,62}, {1,56}, {4,50}, {4,30}, {8,30}, {14,39}, {26,47}, {25,38}, {18,38}, {1,57}, {22,46}, {25,63}, {7,41}, {7,44}, {15,44}, {25,33}, {4,62}, {13,53}, {3,35}, {16,59}, {18,54}, {21,59}, {24,51}, {22,32}, {11,41}, {21,43}, {12,35}, {9,53}, {14,28}, {15,63}, {17,46}, {12,37}, {2,54}, {16,29}, {15,60}, {10,30}, {19,28}, {15,29}, {6,47}, {3,34}, {5,40}, {15,56}, {13,61}, {3,46}, {20,55}, {19,40}, {6,58}, {1,55}, {9,32}, {14,36}, {25,53}, {27,30}, {22,55}, {2,38}, {12,46}, {12,49}, {2,37}, {23,45}, {5,43}, {17,51}, {22,41}, {24,58}, {24,39}, {24,42}, {7,49}, {27,40}, {11,31}, {19,38}, {6,55}, {18,49}, {9,54}, {10,29}, {27,31}, {21,62}, {24,52}, {3,51}, {18,55}, {10,40}, {17,43}, {13,31}, {19,52}, {15,41}, {23,35}, {20,44}, {14,47}, {6,44}, {12,47}, {4,48}, {1,60}, {11,60}, {1,45}, {19,58}, {17,48}, {19,61}, {13,54}, {6,56}, {8,56}, {1,28}, {24,34}, {23,38}, {4,54}, {26,36}, {10,45}, {26,34}, {1,43}, {22,43}, {8,37}, {21,33}, {5,28}, {18,31}, {17,52}, {25,37}, {12,33}, {10,58}, {14,59}, {4,36}, {25,35}, {7,47}, {9,40}, {11,52}, {7,59}, {26,55}, {12,62}, {24,63}, {8,58}, {27,45}, {5,59}, {20,39}, {20,49}, {21,29}, {24,57}, {14,49}, {19,51}, {8,62}, {16,44}, {5,51}, {25,42}, {17,41}, {19,56}, {27,32}, {16,63}, {7,60}, {22,31}, {10,39}, {21,50}, {13,46}, {27,60}, {16,34}, {5,60}, {6,42}, {23,40}, {3,53}, {14,45}, {5,33}, {16,35}, {18,28}, {20,34}, {22,49}, {23,33}, {4,34}, {10,36}, {3,48}, {26,58}, {11,32}, {13,48}, {20,42}, {26,57}, {1,47}, {6,38}, {2,31}, {9,36}, {18,45}, {10,57}, {16,39}, {9,39}, {15,57}, {9,52}, {14,35}, {13,37}, {8,61}, {23,50}, {27,43}, {22,62}, {26,46}, {7,33}, {12,61}, {6,37}, {16,50}, {3,59}, {2,30}, {20,54}, {15,30}, {11,63}, {21,41}, {2,63}, {11,42}, {3,36}, {27,50}, {7,42}, {20,32}, {23,61}, {8,29}, {4,32}, {5,53}, {2,50} }; // ETB63.27 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2592 EdgesBipt[63][27]:={ {25,62}, {9,58}, {16,41}, {14,56}, {2,46}, {16,33}, {21,40}, {26,62}, {17,47}, {10,37}, {4,30}, {4,50}, {16,40}, {21,32}, {4,56}, {5,38}, {22,53}, {12,32}, {7,55}, {8,42}, {25,38}, {20,57}, {7,41}, {7,44}, {5,56}, {9,44}, {15,44}, {25,33}, {11,58}, {25,30}, {15,47}, {21,43}, {23,59}, {15,43}, {21,57}, {10,44}, {12,58}, {27,33}, {24,36}, {1,30}, {10,62}, {17,46}, {12,37}, {18,34}, {13,55}, {10,53}, {18,42}, {14,54}, {18,37}, {21,52}, {13,56}, {23,52}, {15,45}, {19,28}, {4,38}, {3,34}, {22,45}, {10,48}, {1,38}, {4,60}, {2,36}, {21,61}, {19,54}, {9,29}, {19,40}, {25,53}, {27,30}, {8,41}, {2,38}, {11,49}, {12,49}, {12,44}, {17,51}, {22,35}, {2,39}, {22,56}, {20,61}, {1,31}, {8,60}, {4,45}, {10,28}, {11,31}, {20,31}, {2,35}, {23,36}, {6,30}, {18,49}, {10,31}, {24,52}, {25,54}, {6,49}, {23,62}, {25,41}, {9,42}, {22,51}, {16,37}, {9,50}, {1,29}, {7,50}, {5,61}, {3,39}, {3,32}, {23,35}, {8,36}, {2,32}, {6,50}, {13,43}, {24,45}, {13,44}, {14,55}, {14,47}, {4,48}, {17,49}, {12,28}, {5,49}, {15,34}, {17,48}, {27,53}, {5,48}, {13,54}, {26,38}, {14,58}, {8,35}, {19,31}, {1,28}, {6,61}, {18,47}, {20,51}, {18,33}, {3,29}, {16,48}, {22,29}, {17,52}, {27,42}, {24,40}, {26,42}, {18,52}, {14,59}, {10,55}, {16,51}, {24,63}, {19,60}, {8,58}, {26,54}, {12,53}, {5,59}, {11,55}, {19,51}, {26,63}, {1,46}, {20,60}, {26,41}, {17,41}, {27,63}, {7,29}, {7,60}, {21,50}, {13,46}, {1,35}, {16,34}, {5,39}, {4,37}, {5,60}, {25,43}, {3,30}, {20,52}, {6,45}, {11,32}, {23,56}, {19,43}, {24,53}, {27,57}, {2,47}, {26,57}, {2,31}, {9,33}, {9,36}, {14,57}, {23,63}, {8,55}, {16,46}, {15,57}, {24,29}, {26,39}, {11,62}, {9,61}, {11,48}, {3,28}, {22,40}, {27,39}, {15,59}, {19,50}, {8,61}, {27,43}, {22,62}, {18,40}, {6,59}, {6,39}, {14,46}, {7,33}, {6,37}, {13,34}, {3,47}, {17,42}, {7,35}, {20,54}, {13,45}, {11,63}, {1,34}, {21,28}, {12,63}, {3,36}, {20,32}, {15,58}, {23,51}, {24,59} }; // ETB63.28 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[63][28]:={ {2,44}, {3,60}, {17,36}, {11,36}, {11,35}, {13,40}, {21,48}, {12,51}, {10,37}, {1,56}, {2,61}, {25,39}, {18,46}, {22,37}, {4,56}, {5,55}, {25,56}, {16,47}, {18,50}, {22,46}, {1,32}, {8,33}, {12,38}, {20,40}, {5,56}, {4,31}, {18,63}, {25,33}, {3,58}, {12,55}, {25,29}, {21,59}, {13,35}, {19,47}, {24,51}, {24,30}, {26,33}, {22,32}, {21,43}, {15,54}, {12,35}, {10,44}, {2,28}, {3,61}, {9,35}, {17,46}, {8,31}, {12,37}, {2,54}, {12,50}, {2,42}, {10,53}, {23,39}, {16,43}, {14,54}, {7,58}, {6,29}, {23,32}, {20,38}, {22,45}, {11,38}, {6,31}, {21,46}, {1,38}, {19,62}, {3,49}, {19,40}, {9,32}, {5,50}, {15,40}, {9,62}, {5,29}, {2,38}, {24,43}, {23,45}, {12,44}, {16,54}, {26,29}, {11,51}, {24,58}, {3,56}, {24,39}, {24,42}, {16,52}, {4,45}, {27,40}, {20,31}, {17,33}, {9,63}, {21,44}, {3,44}, {19,38}, {6,30}, {18,49}, {9,34}, {21,62}, {17,55}, {9,42}, {20,59}, {13,49}, {4,59}, {8,63}, {14,53}, {18,55}, {22,51}, {26,48}, {17,43}, {1,29}, {7,53}, {23,37}, {23,42}, {24,47}, {15,41}, {2,32}, {14,48}, {25,48}, {15,53}, {4,57}, {6,50}, {20,44}, {5,30}, {19,41}, {8,53}, {1,60}, {11,60}, {15,34}, {1,58}, {26,61}, {13,28}, {4,55}, {19,31}, {23,57}, {27,52}, {6,61}, {14,41}, {23,47}, {18,47}, {27,61}, {7,62}, {20,43}, {18,33}, {27,56}, {22,43}, {10,60}, {16,49}, {17,52}, {25,37}, {7,31}, {25,40}, {13,30}, {4,36}, {17,54}, {17,28}, {19,46}, {8,32}, {22,58}, {19,60}, {8,58}, {11,39}, {1,49}, {12,53}, {5,59}, {24,57}, {11,55}, {14,49}, {27,41}, {26,63}, {26,41}, {27,63}, {6,62}, {16,63}, {10,39}, {20,48}, {14,45}, {16,36}, {6,36}, {8,34}, {2,29}, {18,28}, {6,45}, {23,46}, {10,36}, {10,34}, {13,48}, {10,50}, {26,51}, {14,57}, {20,47}, {25,52}, {21,60}, {15,28}, {3,42}, {27,51}, {27,37}, {15,57}, {26,39}, {9,52}, {3,28}, {14,35}, {7,33}, {13,34}, {11,34}, {7,35}, {16,50}, {4,61}, {13,45}, {15,30}, {1,54}, {22,30}, {9,59}, {7,52}, {21,41}, {5,62}, {7,42}, {8,59}, {5,57} }; // ETB63.29 // Bipartite(27,36) Valencies [8,6] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 479219999055934390272 EdgesBipt[63][29]:={ {9,58}, {16,41}, {17,50}, {13,52}, {14,56}, {11,36}, {11,56}, {21,48}, {9,60}, {23,29}, {2,56}, {22,61}, {10,37}, {25,39}, {7,48}, {8,43}, {5,38}, {16,57}, {19,44}, {21,37}, {7,41}, {17,34}, {5,56}, {14,38}, {12,39}, {21,55}, {8,52}, {15,44}, {9,49}, {22,52}, {25,50}, {16,59}, {5,47}, {12,55}, {26,59}, {3,37}, {24,51}, {14,31}, {25,30}, {21,57}, {24,44}, {10,44}, {27,33}, {3,57}, {10,62}, {18,58}, {12,37}, {2,54}, {10,53}, {15,60}, {13,63}, {24,60}, {18,42}, {2,45}, {16,30}, {19,28}, {5,40}, {20,38}, {22,45}, {11,38}, {13,61}, {3,46}, {21,46}, {2,36}, {19,62}, {7,57}, {1,55}, {22,34}, {1,44}, {5,29}, {8,41}, {17,61}, {2,38}, {12,46}, {15,62}, {14,40}, {7,39}, {7,32}, {24,42}, {19,53}, {4,45}, {27,40}, {10,28}, {22,63}, {5,58}, {18,49}, {27,58}, {6,60}, {27,31}, {15,42}, {25,41}, {9,42}, {4,52}, {17,43}, {7,30}, {7,50}, {3,39}, {6,33}, {25,48}, {15,53}, {16,32}, {13,43}, {11,29}, {14,47}, {6,44}, {19,55}, {15,35}, {12,28}, {26,52}, {5,49}, {13,54}, {26,61}, {14,58}, {20,45}, {1,28}, {23,47}, {23,38}, {27,49}, {9,51}, {4,54}, {10,46}, {4,43}, {23,58}, {26,34}, {18,33}, {16,48}, {22,43}, {13,36}, {24,35}, {18,31}, {17,52}, {27,42}, {11,54}, {12,57}, {10,55}, {4,36}, {21,39}, {6,51}, {20,29}, {19,46}, {9,40}, {25,32}, {8,32}, {7,59}, {25,59}, {5,31}, {24,62}, {12,30}, {25,57}, {14,49}, {17,59}, {21,30}, {22,54}, {1,46}, {26,32}, {26,41}, {1,53}, {17,41}, {6,62}, {18,60}, {1,35}, {27,60}, {1,37}, {23,49}, {6,42}, {23,40}, {10,35}, {3,30}, {8,34}, {2,29}, {4,34}, {3,48}, {8,50}, {15,51}, {15,33}, {23,56}, {24,53}, {1,62}, {2,47}, {18,51}, {9,33}, {20,36}, {20,47}, {3,55}, {11,47}, {16,39}, {27,51}, {12,48}, {11,45}, {3,28}, {8,61}, {23,31}, {18,40}, {26,43}, {13,34}, {19,35}, {20,56}, {16,50}, {6,53}, {4,61}, {20,54}, {13,45}, {11,63}, {22,36}, {9,31}, {20,63}, {21,28}, {24,33}, {26,50}, {2,63}, {17,32}, {6,35}, {19,37}, {8,59}, {4,63}, {14,29} }; // ETB63.30 // Bipartite(27,36) Valencies [8,6] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 190210142896128 EdgesBipt[63][30]:={ {17,57}, {15,52}, {3,60}, {14,56}, {11,36}, {21,45}, {16,33}, {21,40}, {3,40}, {25,51}, {12,45}, {7,48}, {5,38}, {25,56}, {7,38}, {8,42}, {8,28}, {21,58}, {25,38}, {9,55}, {1,32}, {3,45}, {25,63}, {1,40}, {13,57}, {14,38}, {5,56}, {4,31}, {15,44}, {25,33}, {4,62}, {12,42}, {21,42}, {3,58}, {7,63}, {27,59}, {25,30}, {8,39}, {15,47}, {7,51}, {14,50}, {15,43}, {24,44}, {12,58}, {27,33}, {9,53}, {18,41}, {23,43}, {5,32}, {9,35}, {20,30}, {17,46}, {2,54}, {18,37}, {6,29}, {16,30}, {19,28}, {3,63}, {23,32}, {15,29}, {6,47}, {2,36}, {7,56}, {1,50}, {26,28}, {19,40}, {17,37}, {5,50}, {12,36}, {4,41}, {24,43}, {15,62}, {11,49}, {10,52}, {5,43}, {22,41}, {9,41}, {26,60}, {17,39}, {8,60}, {10,28}, {11,31}, {20,31}, {22,57}, {6,43}, {22,44}, {24,52}, {17,55}, {13,49}, {4,59}, {14,53}, {18,55}, {2,48}, {10,40}, {5,61}, {7,30}, {13,31}, {26,37}, {19,52}, {24,47}, {23,35}, {25,48}, {4,57}, {11,29}, {13,44}, {6,44}, {11,30}, {9,37}, {14,61}, {18,53}, {15,34}, {19,58}, {1,58}, {27,53}, {1,28}, {6,61}, {24,34}, {23,38}, {25,45}, {9,51}, {10,46}, {18,33}, {16,48}, {16,38}, {8,37}, {1,52}, {15,61}, {26,42}, {11,54}, {10,58}, {8,57}, {17,28}, {20,29}, {16,51}, {19,46}, {23,53}, {16,45}, {22,39}, {27,55}, {26,55}, {18,59}, {24,62}, {12,40}, {20,49}, {10,32}, {27,41}, {21,63}, {1,46}, {6,62}, {16,63}, {13,62}, {22,31}, {22,59}, {20,48}, {16,56}, {19,32}, {17,60}, {24,61}, {2,29}, {22,49}, {10,34}, {14,32}, {23,56}, {13,41}, {2,47}, {26,57}, {4,49}, {18,51}, {10,50}, {2,31}, {9,33}, {20,36}, {20,47}, {6,34}, {11,47}, {27,35}, {14,43}, {8,55}, {21,60}, {3,42}, {6,52}, {27,51}, {27,37}, {24,29}, {26,39}, {11,48}, {7,45}, {14,35}, {8,46}, {19,50}, {23,50}, {21,36}, {22,62}, {26,46}, {3,54}, {13,59}, {7,33}, {17,42}, {13,39}, {2,30}, {20,54}, {19,34}, {5,35}, {1,34}, {9,59}, {12,63}, {3,36}, {12,54}, {4,39}, {18,35}, {4,44}, {23,61}, {5,53}, {2,49}, {21,54}, {12,60} }; // ETB63.31 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3423782572130304 EdgesBipt[63][31]:={ {17,57}, {17,50}, {13,32}, {25,31}, {16,33}, {23,29}, {11,61}, {25,51}, {16,62}, {7,48}, {4,56}, {8,43}, {7,55}, {8,54}, {15,49}, {15,31}, {4,29}, {3,45}, {20,57}, {23,28}, {9,44}, {12,39}, {18,63}, {8,52}, {23,55}, {25,33}, {10,33}, {21,35}, {18,54}, {26,59}, {15,47}, {21,43}, {16,60}, {12,58}, {2,41}, {9,53}, {5,32}, {27,44}, {14,28}, {9,35}, {20,30}, {18,58}, {13,63}, {25,60}, {14,54}, {21,52}, {3,63}, {19,28}, {15,29}, {4,38}, {19,33}, {15,56}, {11,33}, {9,48}, {21,61}, {26,28}, {10,38}, {7,57}, {10,47}, {1,55}, {14,36}, {5,50}, {16,53}, {15,40}, {9,62}, {1,44}, {24,43}, {12,49}, {11,51}, {8,45}, {7,46}, {7,39}, {22,56}, {17,39}, {20,61}, {3,56}, {27,40}, {22,57}, {21,44}, {2,59}, {4,47}, {6,63}, {18,49}, {27,58}, {27,62}, {10,29}, {27,31}, {21,62}, {24,52}, {24,32}, {8,63}, {4,52}, {7,30}, {26,37}, {23,37}, {8,36}, {2,32}, {19,42}, {14,55}, {13,50}, {6,44}, {17,30}, {19,55}, {11,60}, {17,48}, {25,58}, {27,53}, {13,54}, {10,42}, {1,28}, {24,34}, {23,47}, {14,37}, {23,38}, {27,49}, {18,36}, {4,43}, {20,43}, {3,29}, {22,29}, {10,60}, {13,36}, {10,51}, {18,31}, {5,42}, {24,41}, {25,40}, {12,57}, {5,41}, {16,51}, {19,46}, {11,52}, {22,39}, {26,55}, {9,57}, {19,60}, {12,40}, {5,59}, {20,39}, {12,30}, {17,59}, {19,51}, {1,46}, {16,44}, {25,49}, {6,54}, {5,51}, {25,42}, {26,32}, {26,41}, {1,53}, {17,41}, {22,47}, {6,62}, {9,30}, {1,35}, {20,48}, {1,37}, {7,28}, {5,60}, {14,45}, {6,36}, {8,34}, {5,33}, {24,61}, {16,35}, {20,52}, {6,45}, {20,34}, {4,34}, {23,46}, {23,56}, {1,62}, {13,41}, {21,53}, {2,40}, {2,31}, {16,42}, {22,48}, {27,35}, {15,38}, {2,58}, {18,45}, {9,39}, {12,48}, {10,56}, {3,38}, {8,61}, {26,46}, {3,54}, {21,34}, {18,40}, {13,59}, {14,46}, {12,31}, {11,34}, {3,47}, {11,43}, {6,53}, {4,61}, {13,45}, {7,37}, {22,30}, {26,50}, {6,35}, {17,32}, {11,42}, {3,36}, {19,37}, {14,63}, {24,50}, {15,58}, {2,49}, {2,50}, {22,38}, {24,59} }; // ETB63.32 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3656994324480 EdgesBipt[63][32]:={ {16,41}, {6,32}, {5,34}, {18,29}, {11,61}, {15,46}, {1,56}, {4,30}, {2,61}, {12,56}, {25,39}, {26,31}, {14,51}, {21,32}, {17,53}, {9,45}, {12,32}, {7,55}, {16,57}, {18,50}, {7,41}, {4,31}, {10,33}, {4,62}, {25,50}, {11,58}, {26,59}, {21,59}, {9,43}, {13,35}, {19,47}, {11,41}, {19,48}, {15,54}, {26,53}, {15,43}, {23,48}, {3,52}, {27,33}, {2,41}, {13,47}, {2,28}, {12,34}, {9,35}, {17,46}, {8,31}, {2,54}, {21,49}, {11,28}, {21,52}, {19,28}, {19,33}, {3,34}, {5,40}, {10,48}, {6,40}, {1,38}, {26,45}, {10,38}, {7,57}, {9,29}, {3,49}, {10,47}, {17,37}, {13,58}, {1,55}, {15,32}, {15,40}, {12,36}, {24,43}, {15,62}, {12,49}, {27,29}, {2,52}, {12,44}, {14,30}, {14,40}, {8,45}, {22,35}, {7,39}, {26,60}, {20,61}, {3,56}, {8,60}, {23,34}, {7,49}, {10,28}, {21,44}, {3,44}, {19,38}, {4,47}, {6,43}, {22,44}, {24,32}, {25,41}, {14,53}, {8,63}, {16,37}, {9,50}, {5,61}, {7,50}, {13,31}, {26,37}, {3,32}, {4,35}, {23,42}, {14,48}, {18,43}, {11,29}, {13,44}, {5,30}, {19,55}, {6,46}, {8,53}, {1,60}, {14,61}, {14,42}, {5,48}, {20,28}, {27,36}, {20,58}, {1,28}, {9,51}, {18,36}, {1,33}, {18,33}, {10,60}, {8,37}, {16,49}, {17,31}, {5,42}, {25,37}, {24,40}, {11,54}, {13,30}, {10,55}, {12,59}, {20,29}, {21,56}, {23,53}, {11,52}, {22,39}, {22,58}, {19,60}, {24,62}, {27,45}, {14,34}, {24,57}, {25,57}, {17,59}, {26,63}, {4,58}, {25,49}, {6,54}, {5,51}, {25,42}, {22,47}, {6,62}, {19,56}, {25,55}, {13,62}, {22,31}, {24,38}, {23,40}, {17,60}, {2,29}, {20,52}, {1,47}, {6,38}, {18,51}, {9,33}, {9,36}, {12,52}, {16,42}, {27,35}, {15,38}, {2,58}, {18,45}, {16,39}, {27,51}, {10,56}, {17,45}, {15,57}, {20,41}, {8,46}, {27,43}, {21,36}, {22,62}, {1,48}, {26,46}, {21,34}, {24,46}, {13,39}, {16,50}, {3,59}, {20,54}, {7,37}, {11,63}, {22,30}, {20,63}, {2,63}, {3,36}, {27,50}, {4,39}, {18,35}, {7,42}, {4,44}, {8,59}, {23,61}, {24,54}, {6,57}, {17,63}, {16,55}, {5,53}, {23,30}, {23,51} }; // ETB63.33 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 113246208 EdgesBipt[63][33]:={ {16,41}, {13,32}, {17,44}, {12,29}, {11,56}, {21,48}, {23,29}, {12,51}, {2,56}, {4,30}, {8,43}, {25,56}, {12,32}, {7,55}, {7,38}, {16,57}, {25,38}, {15,49}, {15,31}, {21,37}, {9,55}, {1,32}, {23,28}, {4,31}, {21,55}, {18,63}, {8,52}, {22,52}, {16,59}, {18,54}, {7,34}, {16,60}, {21,57}, {27,33}, {3,57}, {23,43}, {20,30}, {8,44}, {2,54}, {12,50}, {10,53}, {15,60}, {23,44}, {11,28}, {5,40}, {11,38}, {21,46}, {26,45}, {27,54}, {14,60}, {2,36}, {7,56}, {1,50}, {26,28}, {19,40}, {22,34}, {15,40}, {2,38}, {10,52}, {5,43}, {14,40}, {24,58}, {2,39}, {3,56}, {1,31}, {2,53}, {5,58}, {2,35}, {6,63}, {6,43}, {4,33}, {9,54}, {10,31}, {9,34}, {15,42}, {23,62}, {24,32}, {25,41}, {2,57}, {22,51}, {26,48}, {1,29}, {5,61}, {3,39}, {7,53}, {18,44}, {13,33}, {19,42}, {11,29}, {20,44}, {13,50}, {19,55}, {9,37}, {12,47}, {4,48}, {8,53}, {14,61}, {18,53}, {14,42}, {19,58}, {25,58}, {27,53}, {24,49}, {26,61}, {27,36}, {14,58}, {8,35}, {20,45}, {1,28}, {6,61}, {23,47}, {18,36}, {4,28}, {3,29}, {4,46}, {16,38}, {25,37}, {18,62}, {12,33}, {24,40}, {24,41}, {25,40}, {5,41}, {13,60}, {21,39}, {20,29}, {25,59}, {9,57}, {19,60}, {1,49}, {5,44}, {22,33}, {5,59}, {12,30}, {11,55}, {17,59}, {10,32}, {21,30}, {22,54}, {26,63}, {8,62}, {1,46}, {11,46}, {6,54}, {17,41}, {25,55}, {27,32}, {22,31}, {20,48}, {13,42}, {16,56}, {14,45}, {10,35}, {17,60}, {6,36}, {3,30}, {8,34}, {11,37}, {4,51}, {6,45}, {22,49}, {23,46}, {3,48}, {10,34}, {13,51}, {15,51}, {20,62}, {15,33}, {19,39}, {13,41}, {10,49}, {1,47}, {4,49}, {10,50}, {16,42}, {9,36}, {20,47}, {6,34}, {11,47}, {27,35}, {14,43}, {18,45}, {16,39}, {9,39}, {6,52}, {27,51}, {12,48}, {17,45}, {3,38}, {9,52}, {8,61}, {26,46}, {13,59}, {26,43}, {17,42}, {3,47}, {7,35}, {19,57}, {7,37}, {22,36}, {7,52}, {20,63}, {21,28}, {5,62}, {27,50}, {18,35}, {19,37}, {14,63}, {23,61}, {24,50}, {17,62}, {24,31}, {17,63}, {15,58}, {26,30}, {24,59} }; // ETB63.34 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56623104 EdgesBipt[63][34]:={ {6,48}, {3,33}, {16,41}, {17,35}, {17,44}, {12,29}, {2,46}, {17,56}, {9,60}, {5,63}, {21,40}, {3,40}, {17,38}, {4,53}, {25,39}, {21,32}, {17,53}, {22,53}, {12,32}, {7,38}, {8,54}, {21,58}, {18,38}, {21,37}, {23,28}, {4,31}, {21,55}, {15,44}, {9,49}, {3,58}, {16,59}, {21,35}, {11,58}, {18,54}, {26,59}, {24,51}, {14,31}, {18,56}, {8,39}, {15,47}, {12,35}, {13,47}, {3,57}, {2,28}, {18,41}, {13,29}, {12,50}, {25,60}, {16,61}, {16,43}, {13,56}, {2,45}, {19,28}, {23,32}, {15,29}, {13,61}, {11,33}, {26,45}, {27,54}, {14,60}, {7,56}, {20,55}, {27,28}, {1,55}, {15,40}, {4,41}, {24,43}, {15,62}, {2,37}, {23,45}, {12,44}, {14,30}, {8,45}, {11,51}, {22,35}, {22,56}, {7,32}, {10,54}, {1,31}, {16,52}, {4,45}, {2,53}, {25,28}, {2,35}, {11,44}, {20,33}, {6,30}, {9,34}, {1,59}, {3,51}, {9,42}, {4,59}, {8,63}, {26,48}, {16,37}, {7,50}, {3,39}, {19,52}, {4,35}, {24,47}, {8,36}, {14,48}, {13,43}, {5,30}, {6,44}, {27,46}, {12,47}, {15,37}, {14,42}, {19,61}, {5,48}, {13,54}, {26,38}, {27,36}, {10,42}, {19,31}, {1,28}, {26,56}, {20,51}, {18,36}, {23,58}, {18,33}, {10,60}, {13,36}, {24,41}, {10,43}, {8,57}, {7,47}, {20,29}, {19,46}, {11,52}, {5,54}, {12,62}, {9,57}, {8,58}, {18,59}, {1,49}, {8,40}, {12,53}, {25,57}, {14,49}, {10,61}, {10,32}, {26,63}, {5,36}, {1,46}, {5,51}, {25,42}, {26,41}, {6,62}, {7,29}, {27,32}, {7,60}, {22,31}, {21,50}, {19,49}, {1,37}, {16,34}, {20,37}, {23,40}, {25,46}, {17,60}, {25,43}, {3,30}, {5,33}, {24,61}, {25,61}, {20,52}, {20,34}, {22,49}, {14,44}, {23,46}, {10,36}, {3,48}, {19,43}, {27,57}, {21,53}, {4,49}, {11,40}, {10,50}, {18,51}, {20,47}, {23,63}, {6,34}, {22,48}, {9,39}, {6,52}, {13,38}, {24,29}, {9,52}, {11,62}, {1,41}, {27,39}, {5,45}, {23,50}, {6,39}, {2,55}, {17,42}, {11,34}, {19,34}, {22,30}, {9,31}, {24,33}, {15,55}, {2,63}, {27,50}, {7,42}, {4,63}, {6,57}, {17,62}, {14,62}, {16,55}, {15,58}, {22,38}, {26,30}, {24,59} }; // ETB63.35 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 28311552 EdgesBipt[63][35]:={ {17,57}, {6,48}, {14,56}, {17,35}, {18,39}, {11,36}, {12,29}, {18,48}, {11,56}, {23,29}, {2,56}, {12,45}, {4,50}, {21,32}, {17,53}, {26,47}, {5,55}, {25,56}, {12,32}, {7,55}, {8,54}, {19,44}, {25,38}, {4,29}, {22,46}, {24,55}, {20,40}, {13,57}, {14,38}, {4,62}, {12,42}, {9,43}, {3,37}, {15,48}, {19,48}, {21,43}, {16,60}, {14,50}, {21,57}, {24,44}, {3,52}, {27,33}, {9,53}, {24,36}, {18,41}, {23,43}, {9,35}, {15,63}, {17,46}, {12,50}, {18,34}, {15,60}, {21,52}, {16,30}, {15,45}, {23,32}, {19,33}, {3,34}, {11,38}, {13,61}, {6,40}, {2,34}, {19,62}, {21,61}, {6,58}, {10,47}, {19,30}, {24,37}, {25,53}, {18,57}, {19,59}, {4,41}, {2,38}, {8,47}, {11,49}, {2,52}, {26,29}, {7,46}, {22,41}, {26,60}, {17,39}, {20,61}, {10,54}, {1,31}, {16,52}, {10,41}, {11,31}, {20,31}, {25,28}, {3,44}, {10,59}, {6,30}, {4,47}, {6,43}, {10,29}, {22,44}, {15,42}, {13,49}, {4,59}, {2,48}, {16,37}, {13,31}, {26,37}, {7,53}, {18,30}, {3,32}, {8,36}, {6,33}, {13,43}, {19,41}, {12,47}, {27,38}, {1,60}, {1,45}, {25,58}, {27,53}, {24,49}, {20,28}, {8,56}, {13,54}, {20,58}, {1,28}, {6,61}, {23,47}, {3,50}, {9,51}, {26,36}, {23,58}, {20,43}, {16,48}, {27,56}, {13,36}, {25,40}, {26,42}, {11,54}, {18,52}, {25,35}, {21,39}, {6,51}, {17,28}, {1,42}, {26,55}, {9,57}, {18,59}, {8,58}, {1,49}, {5,44}, {24,62}, {8,40}, {26,54}, {27,45}, {20,49}, {14,34}, {17,59}, {19,51}, {3,62}, {22,28}, {1,46}, {5,51}, {17,41}, {20,46}, {27,63}, {7,60}, {22,31}, {10,39}, {21,50}, {22,59}, {16,34}, {7,28}, {23,40}, {14,45}, {25,46}, {5,33}, {8,38}, {22,49}, {10,36}, {15,51}, {15,33}, {14,32}, {2,40}, {14,52}, {9,33}, {16,42}, {3,55}, {27,35}, {2,58}, {10,57}, {9,39}, {27,51}, {9,61}, {11,45}, {23,50}, {22,62}, {21,34}, {7,35}, {13,39}, {2,30}, {15,30}, {7,37}, {11,63}, {5,35}, {5,37}, {5,62}, {1,63}, {12,63}, {7,42}, {4,44}, {14,63}, {23,61}, {8,29}, {4,32}, {24,54}, {24,31}, {5,53}, {16,55}, {12,60} }; // ETB63.36 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 339738624 EdgesBipt[63][36]:={ {8,48}, {11,53}, {16,41}, {13,52}, {13,32}, {25,31}, {2,33}, {17,35}, {6,32}, {12,29}, {11,35}, {21,48}, {18,29}, {2,56}, {3,40}, {18,32}, {12,56}, {4,50}, {4,30}, {2,61}, {8,30}, {26,31}, {14,51}, {16,62}, {17,53}, {5,55}, {2,51}, {27,47}, {18,50}, {3,45}, {23,28}, {12,38}, {20,40}, {7,54}, {23,60}, {21,42}, {22,52}, {3,58}, {16,59}, {5,47}, {25,29}, {9,43}, {24,51}, {26,33}, {7,34}, {11,41}, {7,36}, {15,43}, {21,57}, {24,44}, {12,58}, {24,36}, {1,30}, {14,28}, {8,44}, {18,34}, {13,63}, {23,39}, {16,61}, {14,54}, {16,43}, {7,58}, {16,30}, {3,63}, {15,56}, {3,46}, {11,33}, {6,40}, {14,33}, {26,45}, {6,58}, {17,37}, {1,55}, {14,36}, {15,32}, {22,34}, {19,59}, {5,29}, {2,38}, {12,49}, {27,29}, {23,45}, {14,30}, {11,51}, {22,41}, {3,56}, {10,41}, {2,53}, {10,28}, {22,57}, {2,35}, {21,44}, {10,59}, {11,59}, {20,33}, {6,55}, {9,54}, {6,60}, {27,31}, {9,34}, {21,62}, {17,55}, {25,41}, {13,49}, {4,52}, {13,31}, {11,57}, {23,42}, {24,47}, {15,50}, {14,48}, {18,44}, {6,50}, {13,50}, {19,41}, {19,55}, {9,56}, {12,47}, {4,48}, {17,49}, {15,37}, {8,56}, {20,58}, {23,57}, {1,28}, {18,47}, {27,49}, {20,51}, {10,46}, {26,36}, {4,28}, {10,45}, {16,48}, {4,46}, {17,31}, {18,62}, {27,42}, {15,61}, {18,52}, {10,43}, {21,39}, {25,47}, {22,39}, {25,59}, {8,58}, {11,39}, {5,44}, {24,62}, {8,40}, {26,54}, {12,40}, {10,61}, {21,30}, {22,54}, {26,63}, {8,62}, {1,46}, {16,44}, {20,60}, {25,49}, {1,53}, {7,60}, {22,59}, {1,35}, {27,60}, {1,37}, {10,63}, {20,35}, {19,32}, {6,42}, {25,43}, {25,61}, {8,38}, {4,34}, {23,46}, {19,39}, {27,57}, {20,42}, {26,51}, {9,36}, {23,63}, {15,38}, {21,60}, {9,38}, {17,45}, {3,38}, {24,29}, {9,52}, {9,61}, {3,28}, {20,53}, {27,39}, {19,50}, {1,48}, {14,46}, {12,31}, {6,37}, {13,34}, {19,57}, {13,45}, {5,35}, {22,36}, {7,52}, {5,37}, {26,49}, {2,43}, {24,33}, {15,55}, {5,62}, {7,40}, {7,42}, {19,37}, {4,32}, {24,54}, {17,63}, {5,53} }; // ETB63.37 // Bipartite(27,36) Valencies [8,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56623104 EdgesBipt[63][37]:={ {15,52}, {17,50}, {25,31}, {2,33}, {18,39}, {11,36}, {13,40}, {21,48}, {9,60}, {11,61}, {3,40}, {25,51}, {17,47}, {4,53}, {12,56}, {26,31}, {21,47}, {9,45}, {2,51}, {5,38}, {16,47}, {8,42}, {16,57}, {21,37}, {24,55}, {1,32}, {12,38}, {7,44}, {5,56}, {4,31}, {21,55}, {23,54}, {15,44}, {25,33}, {3,58}, {12,55}, {26,59}, {7,63}, {9,43}, {3,37}, {27,59}, {19,48}, {15,43}, {21,57}, {27,33}, {3,57}, {24,36}, {14,28}, {17,46}, {12,37}, {16,29}, {18,34}, {13,63}, {23,39}, {25,60}, {18,37}, {10,30}, {23,52}, {19,28}, {5,40}, {10,48}, {6,40}, {2,34}, {1,50}, {6,58}, {13,58}, {10,47}, {19,30}, {24,37}, {18,57}, {8,41}, {12,46}, {15,62}, {2,52}, {14,30}, {7,46}, {17,51}, {9,41}, {26,40}, {1,31}, {8,60}, {23,34}, {2,53}, {5,58}, {17,33}, {2,35}, {9,63}, {23,36}, {6,43}, {4,33}, {10,29}, {6,60}, {9,42}, {18,55}, {22,51}, {3,39}, {4,35}, {2,32}, {14,48}, {15,53}, {20,44}, {13,44}, {6,44}, {15,35}, {12,28}, {14,61}, {18,53}, {15,34}, {25,58}, {8,56}, {20,45}, {19,31}, {23,57}, {6,61}, {23,38}, {4,54}, {10,45}, {7,62}, {22,29}, {16,38}, {8,37}, {24,56}, {24,35}, {5,42}, {1,52}, {27,42}, {15,61}, {25,40}, {11,54}, {18,52}, {10,43}, {4,36}, {21,39}, {7,47}, {17,28}, {19,46}, {11,52}, {1,49}, {22,33}, {12,30}, {21,29}, {10,61}, {21,30}, {27,41}, {17,29}, {25,49}, {25,42}, {26,32}, {26,41}, {22,47}, {6,62}, {7,29}, {27,32}, {13,62}, {22,31}, {24,38}, {19,49}, {27,60}, {16,56}, {5,39}, {10,63}, {20,35}, {7,28}, {19,32}, {5,60}, {6,42}, {4,51}, {8,38}, {22,49}, {14,44}, {26,58}, {20,62}, {23,56}, {24,53}, {13,41}, {4,49}, {20,36}, {3,55}, {22,48}, {14,43}, {8,55}, {16,46}, {16,39}, {27,51}, {12,48}, {9,61}, {11,45}, {7,45}, {20,53}, {19,50}, {3,41}, {13,59}, {14,46}, {11,34}, {11,43}, {3,59}, {20,54}, {13,45}, {11,63}, {1,54}, {22,30}, {1,34}, {9,59}, {20,63}, {26,49}, {26,50}, {17,32}, {27,50}, {18,35}, {16,28}, {8,59}, {5,57}, {24,54}, {14,62}, {1,36}, {2,50} }; // ETB63.38 // Bipartite(18,45) Valencies [10,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 4320 EdgesBipt[63][38]:={ {8,48}, {9,58}, {3,33}, {3,60}, {17,50}, {10,25}, {14,56}, {2,33}, {6,32}, {17,44}, {17,36}, {5,34}, {5,63}, {3,40}, {11,25}, {4,50}, {14,51}, {18,46}, {16,62}, {7,48}, {8,43}, {9,45}, {2,51}, {4,29}, {1,32}, {3,45}, {8,33}, {12,38}, {10,26}, {7,22}, {2,19}, {9,49}, {1,19}, {13,53}, {3,35}, {12,55}, {11,58}, {9,43}, {13,35}, {7,34}, {17,24}, {15,43}, {17,21}, {18,21}, {12,58}, {2,41}, {2,28}, {17,40}, {4,23}, {18,42}, {14,54}, {6,29}, {13,56}, {10,48}, {7,56}, {10,38}, {9,29}, {8,19}, {7,20}, {14,21}, {5,50}, {9,26}, {16,53}, {2,37}, {10,52}, {5,25}, {2,39}, {1,31}, {16,52}, {11,31}, {9,63}, {15,27}, {10,59}, {11,59}, {6,30}, {6,63}, {18,49}, {10,31}, {3,51}, {9,42}, {8,63}, {18,55}, {3,39}, {3,32}, {7,26}, {15,53}, {13,44}, {5,30}, {6,46}, {11,30}, {15,35}, {12,47}, {17,49}, {13,23}, {1,60}, {18,53}, {8,22}, {1,45}, {13,54}, {8,56}, {18,24}, {15,20}, {9,20}, {1,28}, {6,61}, {14,41}, {4,54}, {18,36}, {6,23}, {4,46}, {10,60}, {17,52}, {12,26}, {16,22}, {18,62}, {14,59}, {10,55}, {17,28}, {12,27}, {11,52}, {5,54}, {8,58}, {11,24}, {12,30}, {10,61}, {3,62}, {5,36}, {16,44}, {7,29}, {1,35}, {1,37}, {15,21}, {5,39}, {4,37}, {6,36}, {8,34}, {11,27}, {14,44}, {4,34}, {15,51}, {1,62}, {13,41}, {2,47}, {2,40}, {2,31}, {9,33}, {16,42}, {14,57}, {11,47}, {14,43}, {15,38}, {8,49}, {16,46}, {13,38}, {4,25}, {15,57}, {11,48}, {12,24}, {15,23}, {7,45}, {1,41}, {18,40}, {13,59}, {6,39}, {12,61}, {3,47}, {17,22}, {16,50}, {4,61}, {13,20}, {5,37}, {7,19}, {16,28}, {7,42}, {14,27}, {4,32}, {5,57}, {6,57}, {16,55}, {12,60} }; // ETB63.39 // Bipartite(18,45) Valencies [10,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2160 EdgesBipt[63][39]:={ {3,60}, {16,41}, {10,24}, {2,24}, {11,20}, {18,61}, {2,46}, {13,40}, {5,63}, {10,37}, {17,47}, {1,56}, {2,61}, {14,51}, {9,45}, {12,22}, {8,54}, {15,49}, {15,31}, {8,33}, {12,38}, {7,44}, {12,41}, {1,19}, {13,53}, {5,20}, {9,43}, {3,37}, {13,35}, {18,56}, {7,34}, {2,62}, {17,24}, {15,54}, {7,36}, {3,52}, {1,30}, {4,23}, {17,46}, {18,34}, {10,30}, {15,45}, {15,29}, {5,40}, {1,38}, {14,33}, {2,34}, {14,60}, {9,48}, {4,22}, {9,29}, {7,57}, {14,21}, {12,36}, {1,44}, {11,49}, {14,30}, {11,51}, {2,39}, {7,32}, {7,25}, {9,63}, {4,47}, {4,21}, {10,29}, {3,20}, {6,49}, {2,57}, {4,59}, {18,55}, {16,37}, {12,43}, {5,61}, {15,41}, {7,26}, {14,48}, {18,43}, {16,32}, {4,57}, {13,43}, {5,30}, {13,50}, {6,46}, {17,27}, {12,28}, {11,60}, {18,53}, {8,22}, {15,34}, {1,58}, {17,48}, {13,25}, {8,56}, {8,35}, {4,55}, {18,26}, {3,50}, {9,51}, {18,33}, {3,29}, {15,36}, {17,31}, {5,42}, {16,22}, {11,54}, {10,55}, {12,59}, {17,54}, {17,28}, {12,27}, {9,40}, {16,45}, {12,62}, {13,24}, {6,27}, {5,31}, {8,58}, {17,25}, {11,39}, {5,44}, {6,26}, {3,23}, {10,32}, {5,36}, {8,62}, {16,44}, {4,58}, {1,53}, {18,23}, {18,60}, {13,42}, {10,63}, {16,21}, {7,28}, {11,26}, {10,35}, {13,19}, {2,21}, {5,33}, {4,51}, {6,45}, {8,50}, {14,32}, {1,47}, {6,38}, {2,40}, {14,52}, {16,42}, {11,47}, {10,57}, {16,39}, {9,39}, {6,52}, {9,38}, {10,56}, {11,19}, {4,25}, {3,28}, {8,20}, {8,46}, {1,41}, {1,48}, {3,31}, {13,59}, {6,37}, {12,61}, {16,50}, {6,53}, {3,59}, {7,52}, {7,19}, {6,35}, {15,55}, {11,42}, {9,23}, {14,27}, {14,62}, {17,63}, {2,49}, {15,58} }; // ETB63.40 // Bipartite(18,45) Valencies [10,4] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 47552535724032000000000 EdgesBipt[63][40]:={ {9,58}, {16,41}, {17,50}, {11,20}, {13,52}, {14,56}, {11,36}, {4,27}, {11,56}, {9,60}, {15,24}, {2,56}, {10,37}, {7,48}, {8,43}, {5,38}, {16,57}, {7,41}, {10,26}, {17,34}, {5,56}, {14,38}, {12,39}, {8,52}, {15,44}, {9,49}, {1,19}, {2,27}, {12,55}, {5,47}, {16,59}, {5,20}, {3,37}, {14,31}, {10,44}, {8,25}, {3,57}, {16,23}, {10,62}, {18,58}, {12,37}, {2,54}, {10,53}, {13,63}, {15,60}, {18,42}, {2,45}, {16,30}, {5,40}, {11,38}, {13,61}, {3,46}, {2,36}, {5,22}, {7,57}, {1,55}, {1,44}, {5,29}, {8,41}, {17,61}, {2,38}, {12,46}, {15,62}, {14,40}, {7,39}, {7,32}, {15,26}, {17,23}, {4,45}, {10,28}, {5,58}, {18,49}, {6,60}, {15,42}, {9,42}, {2,20}, {4,52}, {17,43}, {7,30}, {7,50}, {3,39}, {6,33}, {15,53}, {16,32}, {13,43}, {11,29}, {6,24}, {14,47}, {6,44}, {15,35}, {12,28}, {5,49}, {13,25}, {13,54}, {18,24}, {14,58}, {1,28}, {9,51}, {4,54}, {10,46}, {4,43}, {18,33}, {16,48}, {13,36}, {18,31}, {17,52}, {9,22}, {11,54}, {12,57}, {10,55}, {4,36}, {6,51}, {9,40}, {8,32}, {7,59}, {3,19}, {14,22}, {5,31}, {17,25}, {12,19}, {6,26}, {12,30}, {8,23}, {14,49}, {17,59}, {3,21}, {1,46}, {1,53}, {17,41}, {6,62}, {13,27}, {18,60}, {1,35}, {14,20}, {1,37}, {16,21}, {6,42}, {10,35}, {7,23}, {3,30}, {8,34}, {2,29}, {11,27}, {1,26}, {4,34}, {3,48}, {8,50}, {15,51}, {18,22}, {15,33}, {1,62}, {2,47}, {18,51}, {9,33}, {3,55}, {11,47}, {16,39}, {12,48}, {10,19}, {4,25}, {11,45}, {3,28}, {8,61}, {9,24}, {18,40}, {13,34}, {16,50}, {6,53}, {4,61}, {13,45}, {11,63}, {9,31}, {2,63}, {6,35}, {17,32}, {8,59}, {7,21}, {4,63}, {12,21}, {14,29} }; // ETB63.41 // Bipartite(18,45) Valencies [10,4] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 371504185344000000000 EdgesBipt[63][41]:={ {16,41}, {2,24}, {2,33}, {18,39}, {18,61}, {13,21}, {18,48}, {16,33}, {11,61}, {2,56}, {11,25}, {4,56}, {5,55}, {12,22}, {2,51}, {7,55}, {8,54}, {4,29}, {3,43}, {3,25}, {10,26}, {13,57}, {4,31}, {15,44}, {1,19}, {16,59}, {15,48}, {14,31}, {11,41}, {17,24}, {7,51}, {12,35}, {16,60}, {18,21}, {10,44}, {12,58}, {3,52}, {5,32}, {3,61}, {16,23}, {17,40}, {10,62}, {8,27}, {11,50}, {2,42}, {18,34}, {13,55}, {10,53}, {14,54}, {4,38}, {3,34}, {9,48}, {9,47}, {4,22}, {9,29}, {1,55}, {14,36}, {5,50}, {16,24}, {18,57}, {1,44}, {8,41}, {2,38}, {15,62}, {12,49}, {12,44}, {7,46}, {14,40}, {8,45}, {17,51}, {17,58}, {10,54}, {15,26}, {3,56}, {17,33}, {11,59}, {4,47}, {6,63}, {6,43}, {5,23}, {3,20}, {2,20}, {8,63}, {18,30}, {8,36}, {15,53}, {18,43}, {16,32}, {11,23}, {15,35}, {9,56}, {17,49}, {5,46}, {14,58}, {13,28}, {9,20}, {1,28}, {6,61}, {10,45}, {3,29}, {5,28}, {17,31}, {12,26}, {18,52}, {13,30}, {5,41}, {16,51}, {11,52}, {8,32}, {12,62}, {9,57}, {14,22}, {6,27}, {12,40}, {5,59}, {12,53}, {8,23}, {14,49}, {18,25}, {1,46}, {4,58}, {6,54}, {1,53}, {7,60}, {9,30}, {13,46}, {1,35}, {1,37}, {15,21}, {10,63}, {7,28}, {14,45}, {4,40}, {10,35}, {17,60}, {13,19}, {6,36}, {2,29}, {10,27}, {6,45}, {1,26}, {10,36}, {8,50}, {11,32}, {13,48}, {1,62}, {2,47}, {6,25}, {4,49}, {16,42}, {6,34}, {9,39}, {6,52}, {9,38}, {3,38}, {15,57}, {4,20}, {13,37}, {7,24}, {15,39}, {7,33}, {12,31}, {11,34}, {3,47}, {17,42}, {5,19}, {13,39}, {17,22}, {16,50}, {11,43}, {15,30}, {7,37}, {2,60}, {5,37}, {7,19}, {9,21}, {7,42}, {8,59}, {14,27}, {14,63} }; // ETB63.42 // Bipartite(21,42) Valencies [10,5] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 5040 EdgesBipt[63][42]:={ {2,44}, {21,23}, {9,58}, {10,24}, {9,28}, {11,36}, {17,56}, {12,51}, {3,40}, {12,45}, {10,37}, {4,30}, {16,40}, {18,46}, {16,62}, {14,39}, {5,55}, {16,47}, {7,38}, {8,54}, {8,28}, {1,57}, {1,32}, {1,27}, {3,25}, {19,24}, {5,56}, {12,39}, {4,31}, {21,55}, {18,63}, {8,52}, {15,44}, {4,62}, {2,27}, {16,59}, {21,35}, {19,47}, {17,24}, {19,48}, {15,43}, {3,52}, {17,40}, {15,63}, {17,46}, {21,49}, {11,50}, {15,60}, {2,45}, {15,45}, {2,25}, {11,38}, {1,38}, {14,33}, {1,50}, {9,47}, {19,62}, {21,61}, {4,22}, {10,38}, {13,58}, {9,32}, {9,62}, {17,61}, {12,46}, {11,49}, {12,44}, {16,54}, {19,29}, {17,51}, {7,39}, {4,42}, {2,39}, {7,32}, {15,26}, {1,31}, {16,52}, {2,53}, {7,43}, {14,24}, {10,28}, {6,30}, {4,47}, {6,63}, {18,49}, {10,29}, {21,26}, {6,60}, {9,34}, {13,22}, {6,49}, {3,51}, {2,57}, {14,53}, {9,50}, {5,61}, {7,50}, {7,53}, {8,36}, {13,33}, {15,53}, {4,57}, {11,23}, {13,43}, {13,44}, {14,55}, {5,30}, {19,41}, {19,55}, {15,35}, {5,24}, {9,37}, {4,48}, {14,61}, {11,60}, {19,58}, {18,26}, {20,58}, {1,28}, {14,41}, {3,27}, {20,22}, {6,23}, {16,48}, {8,37}, {5,42}, {17,52}, {16,22}, {9,22}, {12,33}, {18,52}, {5,41}, {10,55}, {12,59}, {17,54}, {21,56}, {8,32}, {1,42}, {5,31}, {6,27}, {18,59}, {12,40}, {12,53}, {20,49}, {21,29}, {10,61}, {17,29}, {1,25}, {4,58}, {20,60}, {17,41}, {19,56}, {18,23}, {13,62}, {20,48}, {16,34}, {20,35}, {7,28}, {11,26}, {6,42}, {3,30}, {20,26}, {11,37}, {8,38}, {20,34}, {14,44}, {10,36}, {11,32}, {13,48}, {15,33}, {6,25}, {2,31}, {10,50}, {18,51}, {9,36}, {20,47}, {5,27}, {14,43}, {16,46}, {21,60}, {3,42}, {10,56}, {4,25}, {7,45}, {8,46}, {15,23}, {3,54}, {3,31}, {18,40}, {8,51}, {7,33}, {13,34}, {13,39}, {3,59}, {2,30}, {13,45}, {19,34}, {7,37}, {11,63}, {20,63}, {21,41}, {2,43}, {6,35}, {12,54}, {18,35}, {8,59}, {5,57}, {6,57}, {1,36}, {14,29} }; // ETB63.43 // Bipartite(21,42) Valencies [10,5] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 253671505920 EdgesBipt[63][43]:={ {2,44}, {15,52}, {16,41}, {10,25}, {9,28}, {12,29}, {11,35}, {11,56}, {4,26}, {5,63}, {3,22}, {11,61}, {21,40}, {17,47}, {4,53}, {4,50}, {14,51}, {21,32}, {16,62}, {4,56}, {2,23}, {8,43}, {2,51}, {7,55}, {16,31}, {15,31}, {4,29}, {20,27}, {1,27}, {3,43}, {20,57}, {3,25}, {12,38}, {19,24}, {7,44}, {13,57}, {14,38}, {18,63}, {9,49}, {15,44}, {10,33}, {3,35}, {5,47}, {11,58}, {15,48}, {2,26}, {18,56}, {7,34}, {11,41}, {2,62}, {17,24}, {15,54}, {15,43}, {21,57}, {2,41}, {9,53}, {2,28}, {1,30}, {10,62}, {17,46}, {13,29}, {12,50}, {16,29}, {18,42}, {14,54}, {7,58}, {21,52}, {19,28}, {19,33}, {3,34}, {5,40}, {20,38}, {3,46}, {6,31}, {14,33}, {9,48}, {1,50}, {21,61}, {5,22}, {19,54}, {20,55}, {19,40}, {13,58}, {17,37}, {9,32}, {9,27}, {18,57}, {8,41}, {12,46}, {5,43}, {12,44}, {14,30}, {8,45}, {7,39}, {17,58}, {7,32}, {10,54}, {3,56}, {10,41}, {16,52}, {9,63}, {15,27}, {1,51}, {4,47}, {4,33}, {6,60}, {13,22}, {6,49}, {3,51}, {9,42}, {20,59}, {13,49}, {1,29}, {5,61}, {7,53}, {4,35}, {9,25}, {18,44}, {13,43}, {21,51}, {13,50}, {19,55}, {8,53}, {1,60}, {12,25}, {8,22}, {1,45}, {14,42}, {19,61}, {6,56}, {18,24}, {13,28}, {14,58}, {14,37}, {4,54}, {10,46}, {18,36}, {21,31}, {10,60}, {13,36}, {17,31}, {5,42}, {17,52}, {14,59}, {12,59}, {8,32}, {1,24}, {12,23}, {17,25}, {12,40}, {1,39}, {21,30}, {8,62}, {19,45}, {7,60}, {6,28}, {16,63}, {18,23}, {10,39}, {20,48}, {19,49}, {16,34}, {5,39}, {5,60}, {7,23}, {3,30}, {20,26}, {11,37}, {11,27}, {8,38}, {20,34}, {10,36}, {15,22}, {15,33}, {8,24}, {2,47}, {21,53}, {6,38}, {11,40}, {16,42}, {20,36}, {20,47}, {3,55}, {5,26}, {18,45}, {10,57}, {6,52}, {17,45}, {11,62}, {11,48}, {15,23}, {13,37}, {21,36}, {1,48}, {6,59}, {9,46}, {17,26}, {6,39}, {12,61}, {16,50}, {2,30}, {19,34}, {7,37}, {6,35}, {18,35}, {8,59}, {14,63}, {4,32}, {16,55}, {2,49} }; // ETB63.44 // Bipartite(28,35) Valencies [10,8] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23007818884715642880000000 EdgesBipt[63][44]:={ {11,40}, {27,48}, {8,57}, {11,49}, {26,46}, {16,51}, {25,47}, {25,40}, {14,38}, {16,63}, {13,39}, {2,35}, {16,58}, {20,46}, {14,31}, {28,61}, {24,36}, {2,49}, {21,54}, {26,37}, {14,45}, {6,48}, {19,37}, {16,37}, {5,32}, {15,41}, {28,52}, {4,40}, {23,44}, {15,62}, {6,32}, {11,35}, {15,57}, {22,55}, {21,40}, {16,42}, {16,49}, {7,59}, {12,46}, {28,31}, {7,45}, {26,39}, {6,60}, {21,38}, {17,59}, {6,39}, {7,33}, {3,52}, {5,60}, {20,39}, {5,37}, {27,41}, {27,32}, {24,50}, {13,55}, {18,35}, {24,45}, {24,31}, {9,56}, {9,35}, {1,36}, {1,29}, {23,42}, {12,37}, {2,56}, {23,58}, {6,46}, {20,55}, {27,53}, {4,49}, {17,36}, {18,47}, {13,41}, {22,34}, {6,34}, {1,43}, {7,54}, {18,33}, {22,43}, {3,38}, {11,63}, {4,61}, {10,59}, {19,46}, {3,43}, {18,56}, {20,41}, {27,39}, {28,40}, {3,31}, {25,33}, {27,60}, {17,57}, {5,53}, {11,42}, {2,30}, {9,58}, {15,50}, {3,36}, {17,29}, {8,48}, {14,54}, {2,44}, {21,45}, {21,61}, {8,50}, {1,55}, {13,48}, {9,51}, {22,48}, {10,57}, {21,47}, {26,51}, {10,36}, {14,33}, {2,51}, {10,38}, {25,63}, {15,34}, {11,33}, {21,31}, {19,30}, {8,41}, {3,59}, {3,29}, {17,31}, {1,41}, {26,44}, {13,53}, {22,29}, {18,54}, {4,47}, {25,49}, {24,59}, {16,56}, {27,34}, {12,30}, {4,33}, {10,31}, {10,29}, {25,61}, {23,51}, {22,50}, {23,56}, {11,61}, {23,35}, {9,30}, {20,62}, {5,39}, {24,38}, {8,34}, {14,52}, {16,30}, {17,38}, {1,57}, {28,45}, {17,52}, {7,61}, {11,54}, {10,52}, {22,62}, {22,57}, {21,59}, {19,53}, {19,44}, {24,43}, {1,48}, {14,40}, {22,41}, {9,44}, {4,63}, {24,29}, {7,52}, {20,60}, {26,53}, {20,48}, {18,61}, {16,44}, {7,40}, {20,32}, {25,42}, {17,50}, {27,46}, {23,37}, {26,30}, {1,62}, {11,56}, {14,47}, {8,29}, {21,52}, {8,36}, {5,46}, {13,32}, {10,50}, {3,50}, {19,39}, {15,29}, {11,47}, {14,59}, {26,60}, {19,60}, {8,43}, {21,33}, {5,58}, {20,53}, {3,45}, {12,44}, {7,47}, {24,57}, {2,37}, {4,42}, {27,55}, {12,53}, {7,31}, {13,62}, {12,39}, {12,58}, {28,54}, {3,57}, {28,33}, {18,49}, {15,55}, {15,48}, {12,60}, {5,51}, {24,52}, {13,34}, {26,32}, {1,34}, {6,41}, {23,49}, {14,61}, {23,30}, {19,58}, {4,35}, {19,32}, {20,34}, {1,50}, {16,35}, {8,55}, {13,60}, {10,45}, {17,45}, {9,63}, {18,63}, {28,38}, {7,38}, {12,32}, {25,35}, {15,36}, {27,62}, {10,43}, {2,63}, {8,62}, {6,55}, {6,53}, {28,59}, {9,49}, {18,40}, {19,51}, {6,62}, {5,44}, {25,54}, {22,36}, {9,42}, {15,43}, {13,46}, {17,43}, {26,58}, {2,42}, {18,42}, {23,63}, {12,51}, {25,56}, {2,58}, {28,47}, {4,56}, {4,54}, {5,30}, {9,37} }; // ETB63.45 // Bipartite(9,54) Valencies [12,2] // Diameter 9 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 935976560656121856000000000 EdgesBipt[63][45]:={ {9,13}, {7,48}, {7,39}, {9,40}, {2,38}, {8,59}, {9,42}, {7,59}, {3,46}, {6,17}, {4,27}, {2,11}, {6,51}, {1,46}, {2,20}, {4,16}, {2,47}, {1,44}, {5,58}, {4,63}, {3,30}, {7,23}, {6,62}, {5,13}, {8,34}, {3,10}, {9,31}, {9,51}, {2,18}, {8,14}, {8,41}, {3,55}, {2,29}, {3,19}, {3,48}, {5,49}, {6,53}, {9,58}, {8,61}, {1,10}, {7,41}, {2,56}, {1,17}, {6,33}, {2,36}, {4,43}, {5,56}, {1,55}, {4,45}, {5,29}, {7,14}, {6,26}, {6,15}, {1,19}, {4,36}, {7,30}, {4,25}, {9,15}, {1,35}, {1,26}, {1,53}, {9,49}, {6,60}, {9,33}, {5,22}, {2,27}, {5,38}, {3,57}, {2,54}, {8,43}, {5,20}, {8,32}, {5,47}, {3,28}, {1,62}, {5,31}, {8,16}, {9,24}, {3,12}, {8,23}, {8,50}, {9,60}, {3,21}, {6,42}, {8,52}, {3,39}, {1,37}, {4,54}, {5,11}, {4,18}, {7,32}, {8,25}, {4,52}, {7,21}, {2,63}, {1,28}, {7,50}, {3,37}, {6,24}, {6,35}, {6,44}, {4,34}, {4,61}, {7,12}, {5,40}, {2,45}, {7,57}, {9,22} }; // ETB63.46 // Bipartite(9,54) Valencies [12,2] // Diameter 6 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 7312316880125952 EdgesBipt[63][46]:={ {7,48}, {5,32}, {5,14}, {8,39}, {8,24}, {5,50}, {2,11}, {5,35}, {1,46}, {1,40}, {3,54}, {7,38}, {4,49}, {4,59}, {2,47}, {7,33}, {8,55}, {6,25}, {7,45}, {7,27}, {8,46}, {9,19}, {4,44}, {1,32}, {9,37}, {8,42}, {7,15}, {6,62}, {3,45}, {7,51}, {1,52}, {9,51}, {6,34}, {2,18}, {4,26}, {7,56}, {9,17}, {2,29}, {3,18}, {6,43}, {1,34}, {6,11}, {5,61}, {6,47}, {2,31}, {1,10}, {8,28}, {4,39}, {1,22}, {3,40}, {1,16}, {2,36}, {8,21}, {8,10}, {1,50}, {2,13}, {9,59}, {3,22}, {5,43}, {9,23}, {7,20}, {5,56}, {4,31}, {3,27}, {6,26}, {3,63}, {7,30}, {4,21}, {9,15}, {4,62}, {8,19}, {6,29}, {8,60}, {6,52}, {1,58}, {9,33}, {3,42}, {3,58}, {8,57}, {5,38}, {2,48}, {5,53}, {2,54}, {9,35}, {9,53}, {2,12}, {5,20}, {3,24}, {5,17}, {2,49}, {7,63}, {6,16}, {1,14}, {6,61}, {3,60}, {1,28}, {3,36}, {8,37}, {9,41}, {6,44}, {9,55}, {4,41}, {4,57}, {4,23}, {7,12}, {4,13}, {2,30}, {5,25} }; // ETB63.47 // Bipartite(9,54) Valencies [12,2] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 173946175488 EdgesBipt[63][47]:={ {5,14}, {1,43}, {3,56}, {3,29}, {6,14}, {9,42}, {7,40}, {4,27}, {8,36}, {4,48}, {6,41}, {5,35}, {7,60}, {5,62}, {3,53}, {9,12}, {7,33}, {5,41}, {6,25}, {9,39}, {4,63}, {1,32}, {8,42}, {3,45}, {3,31}, {6,34}, {2,19}, {5,26}, {7,56}, {9,17}, {3,48}, {3,18}, {5,49}, {8,15}, {5,33}, {6,47}, {9,27}, {2,31}, {1,10}, {6,46}, {2,32}, {1,16}, {8,10}, {8,18}, {7,29}, {1,50}, {2,13}, {7,47}, {9,23}, {7,20}, {1,55}, {7,13}, {6,55}, {2,40}, {4,36}, {4,21}, {7,30}, {9,54}, {9,15}, {1,59}, {1,35}, {2,58}, {9,49}, {4,38}, {6,52}, {2,24}, {4,11}, {5,22}, {5,60}, {6,19}, {9,44}, {3,58}, {4,51}, {8,57}, {5,38}, {1,23}, {5,53}, {2,46}, {2,39}, {7,44}, {2,12}, {1,62}, {3,26}, {2,51}, {6,20}, {2,59}, {3,21}, {6,61}, {8,52}, {1,37}, {4,54}, {5,11}, {3,16}, {8,25}, {8,45}, {1,28}, {8,37}, {8,30}, {3,43}, {4,34}, {7,17}, {4,61}, {9,50}, {4,24}, {7,57}, {6,28}, {8,63}, {9,22} }; // ETB63.48 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 252 EdgesBipt[63][48]:={ {17,57}, {8,48}, {15,52}, {16,41}, {10,25}, {2,24}, {10,24}, {9,28}, {2,33}, {17,44}, {17,36}, {2,46}, {17,56}, {21,45}, {11,35}, {11,61}, {2,56}, {17,38}, {15,46}, {10,37}, {18,32}, {12,56}, {16,40}, {16,62}, {4,56}, {5,55}, {8,43}, {9,45}, {12,32}, {7,38}, {8,42}, {8,54}, {18,50}, {20,57}, {3,25}, {10,23}, {12,38}, {20,40}, {7,44}, {10,26}, {14,38}, {4,31}, {18,63}, {8,52}, {12,55}, {16,59}, {21,35}, {13,35}, {15,48}, {14,31}, {11,41}, {19,48}, {7,51}, {21,43}, {12,58}, {3,57}, {13,47}, {1,30}, {5,32}, {3,61}, {14,28}, {17,46}, {13,29}, {10,22}, {13,55}, {15,60}, {6,22}, {18,42}, {11,28}, {14,54}, {16,43}, {16,61}, {18,37}, {6,29}, {13,56}, {16,30}, {19,28}, {19,33}, {3,34}, {5,40}, {11,33}, {20,50}, {1,38}, {3,49}, {6,58}, {13,58}, {16,24}, {16,53}, {15,40}, {8,47}, {12,49}, {2,37}, {16,54}, {11,51}, {7,46}, {14,30}, {17,51}, {7,39}, {9,41}, {17,58}, {2,39}, {7,32}, {15,26}, {16,52}, {19,53}, {4,45}, {7,49}, {2,53}, {1,22}, {21,44}, {3,44}, {2,59}, {4,47}, {5,23}, {10,29}, {21,26}, {10,31}, {21,62}, {3,51}, {20,59}, {4,59}, {8,63}, {14,53}, {12,43}, {5,61}, {7,50}, {9,25}, {13,33}, {6,33}, {2,32}, {19,42}, {4,57}, {6,50}, {13,43}, {13,44}, {5,30}, {13,50}, {19,55}, {6,46}, {9,56}, {5,24}, {4,48}, {13,23}, {1,60}, {11,60}, {15,37}, {1,45}, {14,42}, {1,58}, {17,48}, {19,61}, {20,58}, {18,27}, {3,27}, {18,47}, {20,22}, {4,54}, {10,46}, {4,28}, {21,31}, {7,62}, {8,37}, {15,36}, {21,38}, {8,26}, {18,31}, {1,52}, {9,22}, {15,61}, {21,39}, {6,51}, {11,52}, {1,42}, {14,22}, {17,25}, {11,39}, {5,44}, {20,23}, {12,40}, {12,53}, {12,30}, {20,49}, {21,29}, {14,49}, {17,29}, {19,51}, {5,36}, {20,60}, {6,62}, {19,36}, {7,60}, {18,23}, {9,30}, {18,60}, {1,35}, {16,34}, {14,25}, {19,32}, {6,42}, {8,34}, {18,28}, {10,27}, {20,34}, {1,26}, {10,34}, {13,41}, {4,49}, {2,31}, {9,33}, {9,36}, {6,34}, {3,55}, {11,47}, {5,27}, {8,55}, {19,25}, {5,26}, {10,57}, {6,52}, {12,48}, {17,45}, {15,57}, {11,62}, {11,45}, {7,27}, {20,41}, {15,59}, {3,41}, {3,54}, {15,39}, {9,24}, {3,47}, {21,24}, {6,53}, {5,35}, {9,59}, {20,63}, {2,43}, {1,63}, {12,63}, {4,39}, {18,35}, {7,40}, {9,23}, {19,37}, {14,27}, {4,63}, {8,29}, {1,36}, {14,62}, {2,50}, {21,54} }; // ETB63.49 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 252 EdgesBipt[63][49]:={ {2,44}, {3,60}, {2,46}, {11,35}, {11,61}, {2,56}, {3,40}, {12,56}, {16,27}, {8,30}, {14,51}, {18,46}, {21,32}, {7,48}, {14,39}, {5,55}, {8,43}, {2,51}, {16,47}, {21,58}, {15,49}, {16,31}, {15,31}, {4,29}, {18,50}, {12,38}, {19,24}, {20,40}, {7,61}, {10,26}, {9,44}, {4,31}, {21,55}, {9,49}, {2,27}, {3,35}, {12,55}, {8,39}, {19,48}, {7,51}, {7,36}, {21,57}, {3,52}, {12,58}, {13,47}, {2,28}, {17,40}, {18,58}, {13,29}, {10,53}, {15,60}, {16,43}, {7,58}, {21,52}, {2,45}, {19,28}, {4,38}, {6,47}, {2,25}, {5,40}, {15,56}, {13,61}, {11,33}, {21,46}, {19,62}, {4,22}, {13,58}, {17,37}, {15,32}, {16,53}, {18,57}, {4,41}, {17,61}, {15,62}, {11,49}, {5,43}, {12,44}, {16,54}, {14,30}, {9,41}, {7,32}, {17,39}, {20,61}, {1,31}, {8,60}, {10,41}, {19,53}, {11,22}, {4,45}, {10,28}, {17,33}, {1,22}, {19,38}, {10,59}, {20,33}, {6,30}, {18,49}, {5,23}, {10,29}, {9,54}, {21,26}, {9,34}, {1,59}, {17,55}, {4,59}, {8,63}, {14,53}, {3,32}, {9,25}, {7,26}, {6,33}, {14,48}, {18,44}, {16,32}, {6,50}, {13,43}, {20,44}, {13,50}, {17,30}, {6,46}, {21,25}, {12,47}, {8,53}, {5,49}, {11,60}, {15,34}, {5,48}, {13,54}, {6,56}, {8,56}, {18,24}, {13,28}, {10,42}, {18,26}, {3,50}, {20,22}, {20,51}, {18,36}, {21,31}, {7,62}, {20,43}, {1,43}, {16,38}, {8,37}, {5,28}, {15,36}, {10,51}, {5,42}, {16,22}, {12,57}, {4,36}, {8,57}, {7,47}, {17,28}, {20,29}, {16,51}, {9,40}, {11,52}, {1,42}, {12,62}, {1,24}, {14,22}, {13,24}, {17,25}, {18,59}, {6,26}, {20,23}, {12,40}, {12,30}, {3,23}, {8,23}, {19,63}, {1,39}, {10,32}, {11,46}, {4,58}, {6,54}, {19,45}, {6,62}, {19,36}, {16,63}, {18,23}, {13,27}, {10,39}, {1,37}, {16,34}, {14,25}, {20,35}, {14,45}, {17,60}, {3,30}, {11,37}, {2,29}, {11,27}, {1,26}, {14,44}, {10,34}, {15,33}, {1,62}, {13,41}, {6,25}, {20,42}, {10,50}, {14,52}, {9,33}, {14,57}, {6,34}, {5,27}, {21,60}, {9,38}, {17,45}, {3,38}, {9,52}, {11,48}, {12,24}, {7,27}, {7,45}, {8,46}, {14,35}, {15,23}, {13,37}, {15,59}, {19,50}, {3,41}, {1,48}, {9,24}, {2,55}, {12,31}, {3,47}, {17,42}, {20,56}, {4,61}, {19,34}, {11,63}, {1,54}, {9,59}, {21,41}, {2,63}, {6,35}, {15,55}, {3,36}, {4,39}, {18,35}, {7,42}, {19,37}, {4,63}, {8,29}, {5,52}, {5,57}, {5,53}, {2,49}, {21,54} }; // ETB63.50 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 252 EdgesBipt[63][50]:={ {15,33}, {6,52}, {7,48}, {11,49}, {6,25}, {5,38}, {5,22}, {11,59}, {19,57}, {8,51}, {2,62}, {8,63}, {8,26}, {1,49}, {1,40}, {16,22}, {15,44}, {11,43}, {10,62}, {2,35}, {4,31}, {3,35}, {20,46}, {21,30}, {21,41}, {2,49}, {3,23}, {6,48}, {19,37}, {16,37}, {20,37}, {4,37}, {2,46}, {6,58}, {13,40}, {14,44}, {4,38}, {11,35}, {10,56}, {15,57}, {6,29}, {20,38}, {2,34}, {12,28}, {16,42}, {1,52}, {15,32}, {13,59}, {5,41}, {17,39}, {16,60}, {7,27}, {11,39}, {19,48}, {3,52}, {17,26}, {1,24}, {13,24}, {5,37}, {16,25}, {13,42}, {9,35}, {1,29}, {16,43}, {18,39}, {6,44}, {8,38}, {13,26}, {9,47}, {12,52}, {5,50}, {14,32}, {8,49}, {16,40}, {18,29}, {9,39}, {4,62}, {4,22}, {7,54}, {18,33}, {4,61}, {10,59}, {18,56}, {5,28}, {20,41}, {14,46}, {21,63}, {20,63}, {3,47}, {19,56}, {7,60}, {19,38}, {19,47}, {3,51}, {18,55}, {7,53}, {5,53}, {9,58}, {14,34}, {13,61}, {19,27}, {12,56}, {6,36}, {4,53}, {16,29}, {9,51}, {1,47}, {10,57}, {21,47}, {3,24}, {10,36}, {2,51}, {20,51}, {14,23}, {9,55}, {21,25}, {3,29}, {10,61}, {13,36}, {2,23}, {13,53}, {21,57}, {9,54}, {15,23}, {11,44}, {5,61}, {19,24}, {17,55}, {19,45}, {16,56}, {15,58}, {2,27}, {12,30}, {1,22}, {9,31}, {18,25}, {11,61}, {20,30}, {13,31}, {8,53}, {15,46}, {17,30}, {11,62}, {6,31}, {11,32}, {15,24}, {21,32}, {16,26}, {10,52}, {13,57}, {10,54}, {14,40}, {7,49}, {16,45}, {20,59}, {4,36}, {4,29}, {1,54}, {17,22}, {19,34}, {17,41}, {20,32}, {17,50}, {18,41}, {5,63}, {14,55}, {1,62}, {18,30}, {2,28}, {14,58}, {8,27}, {21,46}, {3,33}, {14,26}, {19,59}, {11,30}, {3,50}, {2,22}, {14,59}, {8,43}, {11,45}, {1,33}, {5,58}, {3,54}, {8,58}, {12,36}, {6,63}, {12,44}, {19,25}, {7,47}, {4,25}, {3,28}, {7,31}, {12,39}, {20,27}, {15,55}, {12,60}, {13,34}, {15,42}, {1,34}, {7,42}, {2,50}, {6,41}, {14,61}, {17,40}, {9,60}, {6,28}, {18,23}, {21,48}, {21,51}, {13,33}, {20,34}, {7,26}, {20,45}, {10,60}, {11,28}, {8,55}, {16,33}, {8,35}, {10,45}, {2,40}, {21,56}, {17,45}, {18,50}, {12,57}, {9,63}, {17,37}, {7,38}, {12,32}, {15,36}, {10,43}, {15,31}, {5,62}, {7,43}, {18,60}, {1,27}, {5,44}, {12,54}, {17,23}, {4,52}, {14,53}, {8,39}, {9,42}, {12,35}, {21,24}, {17,43}, {6,50}, {18,42}, {4,48}, {3,46}, {9,48}, {10,49} }; // ETB63.51 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1008 EdgesBipt[63][51]:={ {17,57}, {8,48}, {9,58}, {3,60}, {2,33}, {11,36}, {18,39}, {18,61}, {2,46}, {5,34}, {11,56}, {15,24}, {4,26}, {15,46}, {1,56}, {4,50}, {21,32}, {14,39}, {2,23}, {5,38}, {2,51}, {7,55}, {7,38}, {15,49}, {4,29}, {18,50}, {3,45}, {3,25}, {19,24}, {20,40}, {10,26}, {5,56}, {9,44}, {12,39}, {8,52}, {15,44}, {4,62}, {3,35}, {13,53}, {21,35}, {11,58}, {21,59}, {19,47}, {15,47}, {17,24}, {19,48}, {21,43}, {21,57}, {10,44}, {12,34}, {1,30}, {18,41}, {5,32}, {17,40}, {9,35}, {20,30}, {15,63}, {8,27}, {12,37}, {13,29}, {12,50}, {10,22}, {13,55}, {6,22}, {15,25}, {14,54}, {13,56}, {16,30}, {19,28}, {3,34}, {5,40}, {14,23}, {11,38}, {10,48}, {11,33}, {20,50}, {21,46}, {1,38}, {14,33}, {14,60}, {21,61}, {19,54}, {7,57}, {17,37}, {14,36}, {15,40}, {9,62}, {1,44}, {8,47}, {11,49}, {2,37}, {2,52}, {16,54}, {7,46}, {8,45}, {7,39}, {9,41}, {5,25}, {17,58}, {15,26}, {17,23}, {8,60}, {1,61}, {2,53}, {7,43}, {7,25}, {20,31}, {5,58}, {17,33}, {9,63}, {1,22}, {21,27}, {19,38}, {11,59}, {6,63}, {6,43}, {4,33}, {5,23}, {9,54}, {9,34}, {13,22}, {17,55}, {2,57}, {4,52}, {10,40}, {12,43}, {7,50}, {13,31}, {4,35}, {15,41}, {8,36}, {19,42}, {18,43}, {16,32}, {11,29}, {6,24}, {20,44}, {13,50}, {6,44}, {4,48}, {5,46}, {8,53}, {14,61}, {12,25}, {8,22}, {1,58}, {10,42}, {13,28}, {4,55}, {18,26}, {20,58}, {1,28}, {18,27}, {6,61}, {14,37}, {18,47}, {20,51}, {4,54}, {18,36}, {4,28}, {16,48}, {3,26}, {10,51}, {16,49}, {17,31}, {16,22}, {18,62}, {18,52}, {13,30}, {10,55}, {21,56}, {16,51}, {11,52}, {8,32}, {1,42}, {19,60}, {5,31}, {11,24}, {6,27}, {20,23}, {12,53}, {12,30}, {21,29}, {8,23}, {1,39}, {10,61}, {10,32}, {17,59}, {18,25}, {5,36}, {19,45}, {7,29}, {6,41}, {16,63}, {9,30}, {13,27}, {19,49}, {16,34}, {16,56}, {7,28}, {5,60}, {6,42}, {10,35}, {20,26}, {2,29}, {11,27}, {20,52}, {6,45}, {3,48}, {15,51}, {20,62}, {14,32}, {19,39}, {1,62}, {4,49}, {9,33}, {14,57}, {3,55}, {11,47}, {15,38}, {16,46}, {10,57}, {17,45}, {14,35}, {20,53}, {3,41}, {3,31}, {21,34}, {9,24}, {13,59}, {8,51}, {12,31}, {6,37}, {3,47}, {17,42}, {6,53}, {3,59}, {13,45}, {9,59}, {21,41}, {2,43}, {2,63}, {12,63}, {12,54}, {16,28}, {7,40}, {7,42}, {19,37}, {1,36}, {14,62}, {2,49}, {12,60} }; // ETB63.52 // Bipartite(21,42) Valencies [12,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1008 EdgesBipt[63][52]:={ {17,57}, {2,44}, {15,52}, {3,60}, {2,24}, {13,52}, {6,32}, {17,44}, {17,56}, {18,48}, {21,48}, {4,24}, {9,60}, {4,26}, {11,61}, {12,51}, {21,40}, {3,40}, {17,38}, {10,37}, {4,30}, {16,27}, {14,51}, {21,32}, {4,56}, {17,53}, {16,47}, {7,55}, {16,57}, {21,58}, {4,29}, {9,55}, {3,43}, {20,40}, {1,40}, {10,26}, {18,63}, {15,44}, {12,42}, {13,53}, {12,55}, {18,54}, {2,26}, {18,56}, {2,62}, {15,54}, {15,43}, {3,52}, {2,41}, {5,32}, {4,23}, {8,31}, {8,27}, {18,58}, {13,29}, {2,54}, {21,49}, {13,63}, {14,54}, {16,43}, {18,37}, {10,30}, {6,29}, {3,63}, {15,45}, {19,28}, {4,38}, {19,33}, {3,34}, {14,23}, {20,38}, {3,46}, {11,33}, {2,36}, {9,47}, {21,61}, {5,22}, {4,22}, {9,29}, {10,47}, {17,37}, {19,59}, {12,36}, {9,62}, {1,44}, {8,41}, {8,47}, {12,49}, {2,52}, {16,54}, {11,51}, {8,45}, {4,42}, {9,41}, {5,25}, {17,58}, {16,52}, {7,25}, {5,58}, {10,59}, {20,33}, {5,23}, {10,31}, {9,34}, {13,22}, {21,62}, {17,55}, {20,59}, {13,49}, {14,53}, {17,43}, {7,50}, {4,35}, {9,25}, {13,33}, {18,44}, {16,32}, {6,24}, {13,44}, {21,51}, {5,30}, {19,41}, {6,46}, {15,35}, {9,37}, {4,48}, {5,46}, {14,61}, {18,53}, {8,22}, {19,58}, {19,61}, {5,48}, {6,56}, {13,25}, {20,28}, {8,35}, {18,27}, {3,50}, {18,47}, {10,46}, {7,62}, {16,48}, {1,43}, {3,26}, {16,38}, {5,28}, {21,38}, {17,31}, {18,31}, {5,42}, {17,52}, {9,22}, {15,61}, {7,31}, {12,33}, {12,57}, {14,59}, {12,59}, {8,57}, {21,39}, {12,27}, {1,42}, {1,24}, {9,57}, {19,60}, {11,24}, {11,39}, {6,26}, {8,40}, {20,39}, {12,30}, {20,49}, {11,55}, {10,61}, {14,49}, {19,51}, {5,36}, {1,46}, {11,46}, {4,58}, {20,60}, {1,53}, {19,56}, {7,60}, {6,28}, {16,63}, {10,39}, {21,50}, {20,48}, {14,25}, {19,32}, {11,26}, {3,53}, {7,23}, {6,36}, {3,30}, {8,34}, {11,37}, {11,27}, {18,28}, {6,45}, {20,34}, {10,36}, {8,50}, {15,22}, {13,51}, {20,62}, {15,33}, {1,62}, {6,25}, {10,49}, {6,38}, {11,47}, {14,43}, {10,57}, {3,42}, {12,24}, {7,27}, {7,45}, {14,35}, {15,23}, {1,41}, {15,59}, {19,50}, {5,45}, {15,39}, {12,31}, {20,56}, {7,35}, {13,39}, {2,30}, {13,45}, {19,34}, {7,37}, {1,54}, {1,34}, {2,60}, {21,41}, {2,63}, {6,35}, {17,32}, {11,42}, {16,28}, {7,40}, {9,23}, {14,63}, {8,29}, {1,36}, {14,29}, {16,55}, {2,50} }; // ETB63.53 // Bipartite(21,42) Valencies [12,6] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 393110155475571179520000000 EdgesBipt[63][53]:={ {17,57}, {6,48}, {8,48}, {2,44}, {9,58}, {17,50}, {10,24}, {13,32}, {9,28}, {6,32}, {17,36}, {18,61}, {21,45}, {11,35}, {11,56}, {4,26}, {3,22}, {11,61}, {12,51}, {2,56}, {21,40}, {17,38}, {21,47}, {4,56}, {2,23}, {8,43}, {2,51}, {12,32}, {7,38}, {19,44}, {1,57}, {20,27}, {3,45}, {1,27}, {3,43}, {7,54}, {7,61}, {9,44}, {14,38}, {12,39}, {18,63}, {9,49}, {13,53}, {18,54}, {21,59}, {15,48}, {14,31}, {18,56}, {17,24}, {15,43}, {3,52}, {12,58}, {3,57}, {2,28}, {5,32}, {16,23}, {9,35}, {8,27}, {12,37}, {2,42}, {10,22}, {13,55}, {18,42}, {11,28}, {14,54}, {21,52}, {16,30}, {15,29}, {11,33}, {14,33}, {1,50}, {21,61}, {20,55}, {10,38}, {1,55}, {19,30}, {8,41}, {12,46}, {15,62}, {11,49}, {2,37}, {10,52}, {12,44}, {14,40}, {4,42}, {5,25}, {19,53}, {14,24}, {5,58}, {2,35}, {9,63}, {1,22}, {15,27}, {10,59}, {6,55}, {4,47}, {18,49}, {4,33}, {5,23}, {10,29}, {21,26}, {10,31}, {6,60}, {9,42}, {16,37}, {17,43}, {16,58}, {1,29}, {4,35}, {15,41}, {8,36}, {7,26}, {15,50}, {5,30}, {14,47}, {6,46}, {9,56}, {9,37}, {5,46}, {14,61}, {12,25}, {8,22}, {15,34}, {19,58}, {13,25}, {18,26}, {3,50}, {18,47}, {9,51}, {4,54}, {4,28}, {21,31}, {10,45}, {18,33}, {3,29}, {1,43}, {21,33}, {15,36}, {21,38}, {16,49}, {17,31}, {17,52}, {7,31}, {11,54}, {10,43}, {14,59}, {13,60}, {8,57}, {7,47}, {16,51}, {19,46}, {7,59}, {12,23}, {19,60}, {6,27}, {5,44}, {12,53}, {20,39}, {12,30}, {17,59}, {17,29}, {19,51}, {20,25}, {8,62}, {16,44}, {20,60}, {5,51}, {20,46}, {6,62}, {6,41}, {16,63}, {13,62}, {9,30}, {13,27}, {13,46}, {20,48}, {5,39}, {16,56}, {19,32}, {11,26}, {5,60}, {14,45}, {4,40}, {8,34}, {3,24}, {16,35}, {18,28}, {20,34}, {10,36}, {8,50}, {15,22}, {20,62}, {13,48}, {19,39}, {1,62}, {13,41}, {6,25}, {4,49}, {11,40}, {10,50}, {14,52}, {16,42}, {6,34}, {11,47}, {8,55}, {19,25}, {2,58}, {10,57}, {17,45}, {3,38}, {15,57}, {20,41}, {7,45}, {20,53}, {1,41}, {1,48}, {7,24}, {3,31}, {18,40}, {6,39}, {7,33}, {13,34}, {13,39}, {17,22}, {21,24}, {6,53}, {2,30}, {4,61}, {3,59}, {11,63}, {1,34}, {7,52}, {19,23}, {5,37}, {2,63}, {15,55}, {11,42}, {3,36}, {16,28}, {18,35}, {7,40}, {9,23}, {19,37}, {20,32}, {4,63}, {8,29}, {1,36}, {5,53}, {2,49}, {21,54}, {14,26}, {12,60} }; // ETB63.54 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 505542895416115200000000 EdgesBipt[63][54]:={ {17,57}, {2,44}, {11,53}, {15,52}, {9,58}, {3,60}, {16,41}, {17,50}, {6,32}, {17,44}, {17,36}, {11,35}, {5,34}, {11,56}, {13,40}, {21,48}, {4,24}, {15,24}, {5,63}, {2,56}, {11,25}, {4,50}, {16,27}, {8,30}, {21,32}, {16,62}, {2,23}, {5,55}, {9,45}, {2,51}, {18,38}, {15,31}, {4,29}, {1,57}, {3,45}, {1,27}, {20,57}, {3,25}, {7,44}, {7,54}, {7,61}, {5,56}, {9,44}, {13,57}, {14,38}, {4,31}, {21,55}, {18,63}, {12,41}, {12,55}, {19,47}, {14,31}, {18,56}, {8,39}, {15,47}, {7,51}, {15,54}, {3,52}, {8,25}, {13,47}, {2,28}, {12,34}, {16,23}, {8,44}, {13,29}, {2,42}, {10,22}, {18,42}, {11,28}, {7,58}, {15,45}, {16,30}, {19,28}, {4,38}, {19,33}, {6,47}, {13,61}, {3,46}, {6,40}, {20,50}, {21,46}, {1,50}, {4,22}, {19,54}, {19,40}, {17,37}, {1,55}, {19,26}, {15,40}, {11,49}, {2,37}, {17,51}, {17,58}, {15,26}, {17,23}, {8,60}, {4,45}, {10,28}, {14,24}, {2,35}, {1,22}, {21,27}, {18,49}, {10,29}, {6,60}, {13,22}, {21,62}, {4,59}, {4,52}, {16,37}, {17,43}, {16,58}, {1,29}, {7,30}, {3,39}, {3,32}, {13,33}, {6,33}, {7,26}, {14,48}, {19,42}, {4,57}, {13,43}, {14,55}, {13,50}, {17,30}, {6,46}, {21,25}, {9,37}, {12,47}, {8,53}, {5,49}, {11,60}, {19,61}, {5,48}, {13,54}, {18,24}, {10,42}, {6,61}, {14,41}, {20,22}, {9,51}, {4,43}, {20,43}, {16,48}, {1,43}, {8,37}, {5,28}, {13,36}, {18,31}, {5,42}, {12,26}, {15,61}, {12,33}, {18,52}, {10,43}, {4,36}, {5,41}, {14,59}, {21,39}, {7,47}, {20,29}, {12,27}, {16,51}, {8,32}, {12,62}, {8,58}, {18,59}, {11,39}, {6,26}, {12,40}, {20,39}, {8,23}, {14,34}, {19,63}, {17,29}, {20,25}, {11,46}, {16,44}, {20,60}, {6,54}, {20,46}, {19,56}, {9,30}, {19,49}, {16,34}, {10,63}, {13,26}, {3,53}, {14,45}, {10,35}, {7,23}, {3,24}, {18,28}, {10,36}, {11,32}, {15,33}, {1,62}, {6,25}, {10,49}, {21,53}, {10,50}, {14,52}, {20,36}, {5,27}, {15,38}, {2,58}, {18,45}, {21,60}, {10,57}, {12,48}, {10,56}, {9,38}, {3,38}, {9,52}, {8,46}, {20,53}, {1,41}, {15,59}, {1,48}, {3,31}, {21,34}, {9,24}, {8,51}, {6,39}, {7,33}, {12,61}, {19,35}, {17,22}, {6,53}, {2,30}, {3,59}, {7,37}, {11,63}, {5,35}, {9,31}, {9,59}, {1,34}, {21,41}, {5,62}, {2,63}, {11,42}, {12,54}, {18,35}, {7,40}, {9,23}, {20,32}, {14,27}, {1,36}, {14,62}, {16,55}, {2,49} }; // ETB63.55 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2958824445050880 EdgesBipt[63][55]:={ {17,57}, {2,44}, {21,23}, {11,53}, {15,52}, {9,58}, {3,60}, {10,25}, {10,24}, {9,28}, {17,35}, {17,36}, {4,27}, {17,56}, {5,34}, {18,48}, {4,24}, {18,29}, {21,40}, {15,46}, {4,53}, {18,32}, {4,50}, {21,32}, {21,47}, {14,39}, {2,23}, {8,43}, {5,55}, {2,51}, {15,31}, {4,29}, {18,50}, {3,45}, {3,25}, {7,44}, {7,61}, {9,44}, {18,63}, {8,52}, {9,49}, {4,62}, {3,35}, {12,55}, {16,59}, {13,35}, {14,31}, {11,41}, {17,24}, {19,48}, {15,43}, {8,25}, {3,57}, {13,47}, {2,28}, {12,34}, {18,41}, {16,23}, {17,46}, {8,31}, {11,50}, {16,29}, {13,63}, {6,22}, {15,25}, {18,42}, {21,52}, {10,30}, {13,56}, {16,30}, {19,28}, {19,33}, {6,47}, {5,40}, {14,23}, {3,46}, {1,38}, {14,60}, {21,61}, {19,54}, {9,29}, {19,40}, {6,58}, {13,58}, {1,55}, {12,36}, {4,41}, {8,41}, {2,38}, {15,62}, {12,49}, {2,37}, {14,40}, {17,51}, {7,39}, {4,42}, {7,32}, {17,39}, {3,56}, {1,31}, {4,45}, {1,22}, {21,44}, {2,59}, {20,33}, {6,63}, {6,43}, {21,26}, {1,59}, {13,22}, {3,51}, {14,53}, {16,37}, {9,50}, {16,58}, {5,61}, {3,39}, {7,53}, {15,41}, {7,26}, {6,33}, {13,33}, {13,43}, {11,29}, {14,47}, {17,30}, {19,55}, {9,37}, {4,48}, {12,28}, {14,61}, {5,49}, {18,53}, {8,22}, {15,34}, {19,61}, {5,48}, {6,56}, {13,54}, {18,24}, {20,58}, {18,27}, {20,22}, {9,51}, {10,46}, {21,31}, {10,45}, {20,43}, {1,43}, {16,38}, {10,60}, {5,28}, {10,51}, {16,49}, {1,52}, {18,62}, {7,31}, {12,33}, {12,57}, {21,39}, {7,47}, {12,27}, {16,51}, {5,54}, {11,24}, {17,25}, {6,26}, {12,40}, {5,36}, {8,62}, {1,25}, {1,46}, {16,44}, {6,54}, {19,36}, {7,60}, {9,30}, {10,39}, {13,42}, {19,49}, {20,35}, {20,37}, {6,42}, {13,26}, {10,35}, {17,60}, {7,23}, {3,30}, {5,33}, {8,34}, {20,26}, {3,24}, {2,29}, {11,27}, {8,38}, {14,44}, {10,36}, {15,22}, {11,32}, {14,32}, {1,62}, {20,42}, {21,53}, {14,52}, {20,47}, {5,27}, {15,38}, {8,55}, {2,58}, {18,45}, {21,60}, {10,57}, {12,48}, {10,56}, {9,38}, {17,45}, {11,62}, {11,45}, {11,48}, {8,46}, {1,41}, {13,37}, {15,59}, {6,37}, {12,61}, {20,56}, {16,50}, {19,57}, {2,30}, {20,54}, {19,34}, {11,63}, {1,34}, {7,52}, {9,59}, {20,63}, {6,35}, {15,55}, {11,42}, {3,36}, {12,54}, {16,28}, {7,40}, {9,23}, {8,59}, {4,63}, {4,32}, {5,57}, {19,27}, {2,50}, {2,49}, {14,26} }; // ETB63.56 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26330359136256 EdgesBipt[63][56]:={ {2,44}, {21,23}, {15,52}, {3,33}, {17,50}, {10,25}, {10,24}, {14,56}, {17,44}, {17,36}, {2,46}, {11,35}, {5,34}, {11,56}, {13,40}, {18,48}, {15,24}, {18,29}, {4,26}, {3,22}, {12,51}, {21,40}, {3,40}, {12,45}, {17,47}, {4,30}, {21,32}, {16,62}, {17,53}, {5,55}, {12,32}, {7,55}, {16,57}, {15,49}, {21,37}, {4,29}, {1,57}, {20,27}, {1,32}, {1,27}, {12,38}, {7,41}, {7,22}, {18,63}, {8,52}, {9,49}, {18,54}, {3,37}, {13,35}, {19,47}, {14,31}, {8,39}, {7,51}, {21,43}, {16,25}, {15,54}, {7,36}, {21,57}, {10,44}, {8,25}, {13,47}, {9,53}, {3,61}, {9,35}, {14,28}, {15,63}, {12,37}, {16,29}, {18,34}, {10,53}, {13,63}, {11,28}, {16,43}, {10,30}, {2,45}, {13,56}, {16,30}, {19,28}, {19,33}, {6,47}, {11,38}, {13,61}, {6,31}, {21,46}, {9,48}, {14,60}, {5,22}, {20,55}, {10,38}, {6,58}, {1,55}, {5,50}, {16,53}, {18,57}, {15,40}, {9,62}, {17,61}, {12,46}, {11,49}, {10,52}, {7,46}, {19,22}, {5,25}, {17,58}, {7,32}, {17,39}, {15,26}, {11,31}, {17,33}, {9,63}, {10,59}, {2,59}, {11,59}, {6,30}, {4,47}, {18,49}, {4,33}, {21,26}, {10,31}, {9,34}, {3,51}, {2,57}, {13,49}, {16,58}, {1,29}, {7,50}, {9,25}, {8,36}, {6,33}, {2,32}, {13,33}, {19,42}, {18,43}, {4,57}, {14,55}, {21,51}, {6,44}, {17,30}, {19,41}, {19,55}, {15,35}, {8,53}, {1,60}, {15,37}, {8,22}, {14,42}, {19,61}, {5,48}, {6,56}, {13,54}, {20,28}, {13,28}, {18,26}, {6,61}, {14,41}, {3,50}, {4,54}, {4,43}, {10,45}, {16,48}, {1,43}, {3,26}, {8,37}, {18,62}, {10,58}, {5,41}, {14,59}, {12,59}, {11,52}, {12,23}, {11,24}, {17,25}, {20,49}, {21,29}, {3,23}, {8,23}, {5,36}, {1,46}, {16,44}, {4,58}, {19,36}, {19,56}, {7,60}, {6,28}, {10,39}, {20,48}, {13,42}, {16,34}, {5,39}, {20,35}, {13,26}, {6,42}, {14,45}, {4,40}, {7,23}, {2,29}, {6,45}, {8,38}, {20,34}, {8,50}, {15,51}, {20,62}, {14,32}, {8,24}, {1,62}, {20,42}, {2,31}, {12,52}, {5,27}, {15,38}, {2,58}, {21,60}, {16,39}, {9,39}, {9,38}, {9,52}, {11,45}, {12,24}, {7,27}, {20,41}, {15,23}, {1,41}, {19,50}, {1,48}, {3,54}, {9,24}, {18,40}, {6,59}, {8,51}, {14,46}, {12,31}, {3,47}, {20,56}, {17,22}, {4,61}, {2,30}, {7,37}, {11,63}, {1,34}, {2,60}, {20,63}, {2,43}, {5,62}, {11,42}, {3,36}, {18,35}, {4,44}, {14,27}, {19,27}, {5,53}, {21,54}, {12,60} }; // ETB63.57 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 264241152 EdgesBipt[63][57]:={ {9,58}, {3,33}, {13,52}, {14,56}, {4,27}, {13,40}, {18,48}, {15,24}, {16,26}, {21,40}, {17,38}, {10,37}, {18,32}, {2,61}, {12,32}, {16,47}, {7,55}, {8,54}, {20,27}, {1,32}, {8,33}, {20,57}, {12,38}, {7,44}, {1,40}, {10,26}, {7,54}, {17,34}, {5,56}, {9,44}, {18,63}, {2,27}, {12,42}, {7,63}, {13,35}, {14,31}, {18,56}, {8,39}, {7,34}, {11,41}, {15,47}, {7,51}, {21,43}, {16,60}, {21,22}, {21,57}, {1,30}, {16,23}, {9,35}, {17,46}, {21,49}, {11,50}, {18,42}, {7,58}, {6,29}, {13,56}, {15,45}, {13,61}, {6,31}, {20,50}, {21,46}, {4,60}, {2,34}, {19,62}, {21,61}, {4,22}, {3,49}, {9,29}, {10,47}, {16,53}, {12,36}, {2,38}, {8,47}, {12,46}, {15,62}, {10,52}, {12,44}, {19,29}, {8,45}, {17,51}, {19,22}, {4,42}, {5,25}, {15,26}, {8,60}, {19,53}, {1,61}, {2,53}, {10,28}, {11,31}, {11,44}, {1,22}, {1,51}, {3,44}, {2,59}, {20,33}, {6,63}, {10,31}, {6,60}, {17,55}, {13,49}, {2,48}, {9,50}, {17,43}, {7,30}, {13,31}, {18,30}, {9,25}, {15,41}, {2,32}, {14,48}, {16,32}, {11,23}, {6,50}, {11,29}, {6,24}, {5,30}, {17,30}, {19,41}, {6,46}, {9,56}, {21,25}, {9,37}, {4,48}, {5,46}, {12,25}, {18,53}, {1,58}, {18,24}, {13,28}, {10,42}, {14,58}, {20,45}, {4,55}, {20,58}, {18,27}, {14,41}, {3,27}, {14,37}, {4,28}, {4,43}, {1,43}, {21,33}, {15,36}, {8,26}, {16,49}, {17,31}, {17,52}, {10,58}, {12,57}, {5,41}, {12,59}, {20,29}, {9,40}, {11,52}, {5,54}, {12,23}, {14,22}, {19,60}, {13,24}, {17,25}, {8,40}, {12,53}, {3,23}, {11,55}, {17,59}, {3,62}, {16,44}, {5,51}, {1,53}, {19,36}, {20,48}, {1,37}, {10,63}, {5,39}, {16,56}, {19,32}, {20,37}, {11,26}, {6,42}, {5,60}, {7,23}, {8,34}, {5,33}, {2,29}, {16,35}, {6,45}, {1,26}, {4,34}, {10,36}, {3,48}, {15,51}, {8,24}, {19,39}, {19,43}, {6,25}, {10,49}, {1,47}, {20,24}, {4,49}, {2,40}, {14,52}, {18,51}, {20,36}, {11,47}, {14,43}, {15,38}, {8,55}, {18,45}, {10,57}, {16,39}, {13,38}, {6,52}, {3,38}, {15,57}, {11,62}, {9,61}, {3,28}, {14,35}, {15,59}, {19,50}, {8,61}, {21,36}, {3,41}, {3,54}, {9,46}, {13,59}, {6,39}, {2,55}, {7,33}, {11,34}, {17,22}, {19,57}, {3,59}, {20,54}, {13,45}, {15,30}, {7,37}, {5,35}, {21,28}, {5,62}, {12,63}, {4,39}, {16,28}, {18,35}, {7,42}, {9,23}, {14,27}, {4,63}, {14,62}, {2,50}, {21,54} }; // ETB63.58 // Bipartite(21,42) Valencies [12,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 264241152 EdgesBipt[63][58]:={ {18,45}, {7,48}, {11,49}, {5,56}, {16,51}, {11,25}, {2,55}, {11,59}, {2,62}, {12,63}, {1,40}, {16,22}, {16,63}, {17,42}, {13,39}, {11,43}, {17,33}, {4,31}, {8,40}, {15,27}, {17,56}, {3,39}, {21,28}, {5,32}, {4,51}, {7,30}, {15,41}, {8,31}, {4,37}, {13,43}, {13,27}, {13,40}, {15,62}, {2,33}, {17,35}, {21,53}, {11,35}, {15,57}, {10,42}, {6,29}, {2,34}, {19,31}, {12,48}, {21,40}, {16,42}, {18,32}, {1,52}, {4,30}, {9,33}, {7,45}, {8,46}, {5,41}, {6,60}, {8,52}, {16,60}, {12,38}, {7,27}, {4,58}, {12,42}, {6,39}, {19,48}, {20,39}, {19,52}, {5,37}, {9,56}, {9,35}, {1,36}, {16,43}, {15,45}, {6,44}, {4,23}, {20,55}, {9,47}, {5,50}, {2,29}, {18,47}, {1,38}, {1,26}, {8,49}, {1,61}, {1,43}, {4,62}, {18,26}, {18,59}, {15,28}, {20,41}, {19,56}, {19,38}, {1,31}, {12,27}, {3,51}, {11,22}, {7,37}, {5,53}, {5,35}, {14,34}, {3,36}, {19,23}, {13,61}, {14,54}, {19,27}, {21,61}, {14,28}, {6,36}, {3,30}, {13,48}, {9,51}, {1,47}, {2,24}, {3,24}, {14,33}, {10,46}, {8,60}, {17,58}, {10,55}, {4,41}, {9,26}, {18,38}, {17,54}, {21,37}, {1,59}, {21,57}, {9,54}, {3,25}, {11,46}, {16,56}, {12,30}, {1,22}, {7,34}, {10,29}, {7,58}, {15,52}, {17,46}, {13,22}, {13,50}, {9,30}, {20,62}, {3,32}, {20,44}, {13,29}, {8,34}, {10,22}, {21,58}, {16,30}, {11,62}, {10,25}, {1,57}, {15,24}, {21,32}, {7,61}, {14,43}, {19,50}, {14,37}, {15,49}, {19,44}, {16,31}, {6,23}, {9,44}, {20,60}, {19,29}, {17,63}, {7,24}, {6,57}, {17,25}, {20,48}, {3,60}, {4,44}, {2,54}, {21,49}, {7,40}, {2,41}, {20,32}, {3,53}, {14,55}, {11,56}, {14,47}, {9,23}, {14,58}, {2,45}, {6,47}, {14,26}, {10,50}, {9,61}, {19,59}, {7,55}, {18,28}, {18,24}, {4,46}, {5,58}, {20,53}, {12,36}, {6,63}, {3,45}, {5,26}, {5,29}, {4,25}, {12,33}, {5,47}, {20,27}, {10,63}, {3,57}, {18,49}, {7,51}, {14,49}, {21,44}, {15,48}, {19,35}, {11,41}, {6,26}, {2,50}, {10,53}, {17,24}, {20,23}, {6,42}, {13,33}, {18,53}, {13,54}, {20,34}, {11,28}, {16,35}, {8,55}, {10,34}, {13,60}, {8,61}, {17,45}, {12,59}, {12,57}, {18,63}, {17,37}, {16,39}, {16,52}, {2,38}, {2,59}, {15,36}, {10,43}, {21,36}, {15,31}, {5,62}, {8,28}, {9,40}, {12,54}, {4,52}, {8,39}, {14,22}, {10,32}, {6,50}, {8,25}, {18,42}, {12,51}, {3,46}, {11,38}, {21,23} }; // ETB63.59 // Bipartite(21,42) Valencies [12,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2113929216 EdgesBipt[63][59]:={ {2,44}, {21,23}, {11,53}, {16,41}, {2,24}, {13,32}, {2,33}, {17,44}, {18,61}, {21,45}, {16,26}, {4,26}, {5,63}, {17,38}, {10,37}, {17,47}, {18,32}, {4,50}, {16,27}, {16,62}, {14,39}, {2,23}, {8,43}, {5,38}, {2,51}, {16,47}, {7,38}, {15,49}, {18,38}, {4,29}, {9,55}, {20,27}, {1,27}, {3,25}, {19,24}, {20,40}, {13,57}, {14,38}, {12,39}, {4,62}, {12,42}, {21,42}, {3,35}, {13,53}, {21,35}, {13,35}, {7,51}, {7,36}, {21,57}, {3,52}, {12,58}, {13,47}, {18,41}, {5,32}, {20,30}, {8,44}, {17,46}, {18,58}, {12,37}, {2,54}, {11,50}, {16,29}, {15,60}, {6,22}, {11,28}, {18,37}, {2,45}, {13,56}, {16,30}, {19,28}, {19,33}, {3,34}, {14,23}, {3,46}, {6,40}, {9,48}, {14,60}, {7,56}, {19,54}, {10,38}, {7,57}, {17,37}, {19,30}, {9,27}, {4,41}, {8,41}, {11,49}, {19,22}, {7,39}, {17,58}, {20,61}, {3,56}, {17,23}, {11,22}, {2,53}, {10,28}, {11,31}, {14,24}, {11,44}, {1,22}, {21,44}, {10,59}, {6,55}, {4,47}, {6,63}, {6,43}, {9,54}, {10,29}, {9,34}, {21,62}, {17,43}, {7,30}, {7,50}, {3,32}, {19,52}, {9,25}, {2,32}, {13,33}, {14,48}, {11,23}, {11,29}, {6,24}, {14,47}, {1,60}, {15,37}, {18,53}, {8,22}, {1,45}, {15,34}, {1,58}, {8,56}, {13,54}, {20,28}, {8,35}, {19,31}, {6,61}, {20,51}, {4,28}, {16,48}, {1,43}, {3,26}, {4,46}, {13,36}, {15,36}, {18,31}, {5,42}, {18,62}, {12,33}, {18,52}, {10,58}, {5,41}, {10,55}, {14,59}, {21,56}, {16,51}, {11,52}, {5,54}, {7,59}, {1,24}, {9,57}, {17,25}, {18,59}, {8,40}, {12,40}, {5,59}, {20,49}, {8,23}, {1,39}, {17,59}, {19,51}, {20,25}, {21,63}, {8,62}, {1,25}, {1,46}, {19,45}, {20,46}, {7,29}, {7,60}, {16,63}, {13,27}, {20,48}, {19,49}, {1,37}, {5,39}, {5,60}, {6,42}, {13,26}, {3,53}, {14,45}, {4,40}, {10,35}, {6,36}, {8,34}, {5,33}, {2,29}, {6,45}, {14,44}, {10,34}, {15,51}, {11,32}, {13,48}, {19,43}, {10,49}, {20,42}, {4,49}, {10,50}, {9,33}, {9,36}, {12,52}, {16,42}, {6,34}, {3,55}, {8,55}, {15,28}, {10,56}, {4,25}, {15,57}, {9,52}, {8,61}, {21,36}, {1,48}, {3,31}, {15,39}, {18,40}, {9,46}, {17,26}, {12,31}, {12,61}, {3,47}, {7,35}, {17,22}, {21,24}, {16,50}, {11,43}, {4,61}, {2,30}, {15,30}, {9,31}, {20,63}, {21,41}, {5,62}, {15,55}, {12,63}, {12,54}, {14,27}, {6,57}, {5,53}, {2,50}, {15,58}, {14,26}, {12,60} }; // ETB63.60 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 3888 EdgesBipt[63][60]:={ {18,45}, {6,38}, {16,47}, {27,48}, {6,59}, {9,32}, {5,56}, {5,43}, {8,51}, {5,45}, {2,62}, {2,60}, {25,40}, {15,54}, {10,62}, {4,31}, {24,32}, {21,41}, {11,53}, {21,54}, {2,49}, {17,56}, {10,39}, {26,37}, {14,45}, {16,37}, {15,56}, {20,37}, {20,58}, {1,35}, {4,51}, {2,61}, {4,37}, {6,58}, {14,57}, {23,44}, {15,62}, {14,44}, {6,32}, {24,56}, {21,53}, {11,35}, {10,56}, {27,36}, {10,47}, {20,38}, {19,31}, {12,48}, {16,42}, {20,61}, {7,59}, {12,46}, {9,33}, {7,45}, {24,46}, {5,41}, {17,39}, {12,38}, {26,55}, {17,59}, {23,36}, {25,34}, {6,49}, {26,29}, {19,48}, {20,29}, {3,52}, {24,30}, {18,58}, {27,41}, {21,50}, {24,31}, {23,43}, {20,35}, {13,42}, {1,36}, {23,42}, {16,34}, {13,51}, {16,43}, {26,52}, {27,61}, {8,38}, {18,62}, {5,34}, {13,41}, {16,40}, {24,37}, {27,30}, {22,58}, {9,39}, {4,62}, {7,54}, {18,33}, {18,36}, {4,61}, {11,63}, {19,46}, {3,43}, {14,46}, {24,40}, {27,39}, {19,56}, {25,33}, {3,51}, {27,60}, {18,55}, {1,39}, {7,37}, {7,53}, {11,42}, {5,35}, {19,49}, {8,48}, {4,60}, {2,44}, {1,30}, {8,56}, {8,50}, {18,51}, {16,29}, {11,36}, {13,48}, {3,55}, {1,47}, {21,47}, {26,51}, {16,57}, {15,37}, {10,58}, {25,63}, {11,33}, {8,60}, {9,55}, {14,39}, {10,55}, {8,47}, {8,41}, {17,54}, {7,46}, {3,29}, {17,31}, {1,41}, {1,59}, {21,57}, {12,41}, {26,54}, {23,48}, {25,49}, {11,34}, {24,59}, {21,42}, {7,35}, {15,60}, {15,58}, {9,31}, {17,46}, {15,53}, {23,51}, {25,46}, {22,50}, {13,50}, {20,30}, {13,31}, {9,30}, {20,62}, {5,39}, {24,38}, {19,55}, {22,45}, {13,29}, {14,52}, {10,30}, {23,47}, {25,45}, {16,30}, {12,45}, {26,47}, {15,35}, {12,29}, {25,53}, {1,57}, {11,32}, {22,53}, {17,52}, {9,52}, {7,61}, {11,54}, {10,52}, {22,62}, {27,35}, {13,38}, {24,35}, {26,59}, {14,40}, {1,48}, {25,38}, {23,34}, {22,41}, {4,29}, {1,32}, {22,52}, {25,50}, {24,29}, {21,39}, {22,39}, {15,63}, {6,57}, {18,61}, {16,44}, {4,44}, {24,60}, {12,50}, {17,41}, {17,50}, {10,40}, {14,55}, {8,29}, {23,57}, {21,52}, {5,46}, {4,55}, {6,47}, {25,43}, {3,33}, {13,32}, {19,59}, {9,28}, {3,34}, {18,28}, {14,59}, {19,60}, {8,43}, {3,56}, {12,61}, {2,31}, {16,38}, {20,28}, {3,54}, {8,58}, {6,63}, {3,45}, {2,53}, {26,28}, {12,44}, {4,42}, {23,55}, {14,30}, {21,34}, {18,49}, {15,47}, {14,49}, {22,33}, {11,31}, {20,33}, {21,44}, {13,34}, {17,60}, {26,32}, {21,43}, {2,50}, {23,49}, {14,61}, {19,36}, {26,57}, {6,28}, {27,44}, {19,32}, {13,33}, {20,45}, {10,60}, {11,37}, {11,28}, {16,35}, {17,53}, {2,40}, {12,59}, {12,57}, {18,63}, {13,28}, {1,28}, {7,63}, {2,38}, {19,63}, {15,36}, {27,62}, {10,43}, {2,63}, {8,62}, {6,53}, {7,44}, {27,42}, {9,49}, {9,40}, {19,51}, {20,40}, {22,54}, {4,52}, {27,31}, {3,37}, {9,42}, {5,36}, {9,34}, {15,43}, {7,36}, {17,32}, {6,50}, {26,58}, {22,28}, {1,58}, {2,42}, {22,61}, {7,57}, {23,63}, {18,48}, {12,51}, {25,56}, {3,46}, {5,48}, {5,33}, {5,30}, {4,54}, {10,49}, {6,40} }; // ETB63.61 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 648 EdgesBipt[63][61]:={ {18,45}, {6,52}, {19,28}, {10,37}, {16,47}, {15,38}, {11,49}, {5,38}, {5,43}, {27,59}, {8,51}, {2,62}, {22,40}, {25,40}, {16,63}, {17,42}, {26,49}, {15,44}, {14,50}, {10,62}, {17,33}, {20,46}, {10,33}, {13,63}, {24,32}, {27,33}, {21,41}, {17,56}, {10,39}, {26,37}, {6,48}, {16,37}, {5,32}, {1,35}, {7,30}, {26,61}, {2,46}, {6,56}, {13,43}, {24,48}, {6,58}, {14,57}, {10,48}, {15,62}, {27,54}, {2,33}, {17,35}, {24,56}, {3,49}, {11,35}, {11,29}, {6,29}, {24,58}, {27,36}, {20,38}, {22,55}, {12,28}, {19,31}, {16,48}, {2,52}, {20,61}, {9,33}, {13,59}, {9,57}, {24,46}, {8,52}, {16,60}, {7,41}, {26,55}, {23,31}, {23,54}, {23,36}, {25,34}, {26,29}, {12,40}, {23,28}, {5,60}, {24,30}, {15,30}, {19,52}, {27,32}, {27,41}, {21,50}, {13,55}, {9,56}, {23,43}, {1,29}, {19,42}, {2,56}, {16,43}, {18,39}, {13,58}, {8,38}, {27,53}, {4,49}, {12,52}, {5,34}, {1,38}, {2,36}, {25,52}, {10,51}, {22,34}, {1,61}, {9,29}, {5,54}, {11,63}, {18,59}, {3,43}, {21,55}, {21,63}, {2,39}, {9,46}, {21,62}, {3,47}, {27,39}, {22,59}, {19,56}, {7,60}, {3,31}, {3,51}, {7,53}, {5,53}, {11,42}, {2,30}, {5,35}, {14,34}, {19,49}, {17,29}, {8,48}, {14,54}, {14,60}, {14,28}, {12,47}, {23,39}, {24,53}, {11,36}, {3,55}, {10,57}, {21,47}, {16,57}, {14,33}, {10,38}, {17,51}, {17,58}, {4,41}, {18,38}, {21,37}, {4,45}, {1,63}, {26,44}, {12,55}, {22,29}, {9,54}, {12,41}, {18,54}, {3,44}, {13,45}, {4,47}, {8,59}, {27,63}, {17,55}, {7,35}, {11,46}, {25,30}, {6,30}, {4,33}, {4,57}, {9,31}, {10,44}, {13,56}, {22,50}, {11,61}, {20,30}, {13,31}, {22,45}, {7,28}, {25,31}, {17,44}, {13,29}, {23,47}, {16,30}, {15,61}, {26,47}, {15,35}, {7,61}, {3,42}, {27,35}, {14,37}, {15,49}, {10,54}, {19,53}, {19,44}, {18,31}, {14,40}, {1,48}, {7,49}, {20,59}, {4,36}, {22,41}, {15,39}, {1,32}, {1,54}, {25,50}, {4,59}, {20,60}, {6,37}, {8,32}, {26,48}, {5,31}, {20,48}, {3,60}, {18,61}, {4,44}, {24,60}, {7,40}, {2,41}, {17,41}, {12,43}, {20,32}, {25,42}, {17,50}, {5,63}, {27,46}, {23,37}, {11,56}, {14,47}, {22,38}, {23,52}, {4,55}, {25,43}, {16,36}, {13,32}, {10,50}, {11,30}, {19,33}, {19,39}, {3,34}, {20,57}, {18,28}, {16,46}, {4,46}, {18,52}, {8,43}, {11,45}, {8,58}, {3,45}, {26,28}, {7,47}, {24,57}, {12,53}, {23,62}, {12,58}, {21,35}, {3,57}, {18,49}, {11,31}, {15,48}, {1,53}, {12,60}, {5,51}, {9,50}, {15,42}, {22,51}, {21,43}, {7,42}, {2,50}, {23,49}, {21,29}, {24,44}, {8,44}, {26,57}, {6,28}, {19,58}, {21,51}, {16,62}, {15,51}, {20,34}, {20,45}, {8,55}, {10,34}, {17,53}, {2,40}, {9,45}, {12,59}, {14,41}, {9,63}, {1,28}, {5,42}, {2,59}, {12,32}, {15,36}, {22,35}, {21,36}, {8,62}, {18,40}, {6,62}, {24,42}, {20,40}, {14,53}, {8,39}, {9,34}, {24,33}, {13,46}, {25,60}, {4,39}, {25,62}, {7,36}, {13,52}, {6,50}, {26,58}, {1,37}, {1,58}, {6,61}, {22,61}, {16,32}, {23,63}, {26,45}, {18,34}, {25,56}, {19,54}, {9,37}, {25,51}, {27,38}, {6,40} }; // ETB63.62 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[63][62]:={ {15,33}, {19,28}, {15,38}, {15,59}, {11,49}, {26,46}, {5,56}, {2,55}, {23,53}, {27,59}, {25,57}, {5,45}, {2,60}, {1,49}, {25,40}, {13,39}, {26,49}, {3,61}, {11,43}, {15,54}, {2,35}, {5,57}, {26,43}, {20,46}, {10,33}, {11,57}, {14,31}, {16,55}, {24,32}, {21,54}, {26,37}, {6,48}, {16,37}, {15,56}, {20,37}, {20,58}, {5,32}, {7,30}, {26,61}, {20,52}, {13,43}, {10,48}, {14,44}, {17,35}, {4,38}, {21,53}, {11,35}, {11,29}, {10,47}, {19,40}, {26,38}, {4,43}, {16,42}, {15,32}, {2,52}, {4,30}, {16,49}, {12,46}, {8,46}, {9,57}, {5,41}, {17,39}, {21,38}, {23,31}, {17,62}, {12,42}, {6,39}, {14,62}, {23,36}, {23,61}, {6,49}, {20,29}, {12,40}, {23,28}, {27,50}, {24,30}, {2,48}, {15,30}, {18,58}, {27,32}, {27,41}, {21,50}, {13,55}, {24,45}, {13,42}, {9,35}, {1,29}, {12,37}, {6,46}, {7,56}, {6,44}, {13,58}, {27,53}, {17,47}, {9,47}, {18,46}, {13,41}, {20,42}, {10,51}, {26,36}, {22,34}, {24,37}, {27,30}, {22,58}, {8,42}, {18,33}, {6,51}, {23,60}, {3,38}, {11,63}, {4,61}, {10,59}, {16,59}, {3,43}, {21,55}, {18,56}, {2,39}, {24,40}, {26,42}, {21,62}, {7,60}, {3,31}, {25,33}, {27,60}, {7,37}, {7,53}, {5,53}, {2,30}, {9,58}, {14,34}, {3,36}, {8,48}, {14,60}, {25,44}, {4,60}, {2,44}, {8,50}, {16,29}, {9,51}, {27,52}, {1,47}, {22,48}, {21,47}, {26,51}, {16,57}, {10,36}, {25,63}, {22,56}, {9,55}, {17,51}, {21,31}, {19,30}, {8,41}, {17,54}, {8,45}, {11,58}, {10,61}, {3,62}, {1,41}, {1,51}, {12,41}, {26,54}, {13,45}, {8,59}, {24,59}, {19,45}, {7,34}, {10,31}, {9,31}, {10,44}, {13,50}, {20,44}, {25,31}, {19,41}, {14,52}, {17,30}, {4,50}, {25,45}, {12,45}, {4,34}, {17,38}, {9,52}, {10,52}, {3,42}, {22,62}, {27,35}, {13,57}, {14,37}, {15,49}, {10,54}, {27,58}, {14,40}, {7,49}, {24,43}, {16,31}, {20,59}, {4,36}, {1,32}, {9,44}, {1,54}, {22,52}, {4,59}, {24,29}, {21,39}, {6,37}, {8,32}, {22,39}, {24,51}, {15,63}, {5,31}, {20,48}, {18,61}, {16,44}, {21,49}, {7,40}, {12,50}, {18,41}, {19,61}, {7,29}, {11,56}, {14,47}, {22,38}, {8,36}, {3,33}, {16,36}, {9,61}, {14,51}, {11,30}, {19,33}, {9,28}, {3,34}, {16,53}, {19,43}, {20,57}, {18,28}, {15,29}, {27,47}, {18,52}, {19,60}, {25,39}, {3,56}, {12,62}, {5,58}, {6,63}, {3,45}, {26,28}, {24,57}, {4,42}, {5,29}, {16,50}, {12,53}, {23,55}, {8,33}, {12,39}, {5,47}, {21,35}, {6,54}, {3,57}, {27,29}, {15,48}, {1,53}, {12,60}, {13,35}, {2,50}, {23,49}, {14,61}, {17,40}, {24,44}, {12,34}, {6,28}, {4,35}, {19,32}, {20,34}, {23,33}, {11,28}, {2,40}, {8,54}, {17,45}, {22,46}, {18,63}, {13,28}, {1,28}, {26,34}, {20,56}, {7,38}, {7,63}, {2,59}, {19,63}, {23,50}, {15,36}, {22,35}, {21,36}, {2,63}, {6,55}, {5,62}, {11,55}, {19,51}, {24,42}, {18,60}, {22,54}, {4,52}, {9,43}, {22,47}, {14,53}, {1,46}, {8,39}, {23,41}, {25,55}, {10,32}, {13,46}, {25,48}, {25,62}, {17,32}, {17,43}, {1,37}, {1,58}, {23,63}, {18,34}, {18,48}, {7,62}, {25,56}, {5,33}, {11,38}, {6,40} }; // ETB63.63 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 648 EdgesBipt[63][63]:={ {15,33}, {7,48}, {16,47}, {15,38}, {14,36}, {16,51}, {4,28}, {2,55}, {5,59}, {25,57}, {2,62}, {2,60}, {8,63}, {1,49}, {13,37}, {16,63}, {17,42}, {13,39}, {26,49}, {11,43}, {10,62}, {8,40}, {13,63}, {11,57}, {16,55}, {27,33}, {21,41}, {17,56}, {14,45}, {6,48}, {3,39}, {16,37}, {20,37}, {15,41}, {4,37}, {6,56}, {24,48}, {23,44}, {24,28}, {13,40}, {15,62}, {27,54}, {2,33}, {24,56}, {21,53}, {11,29}, {10,56}, {6,29}, {27,36}, {20,38}, {19,40}, {2,34}, {19,31}, {21,40}, {16,48}, {15,32}, {7,59}, {7,45}, {27,28}, {24,46}, {6,60}, {8,52}, {16,60}, {7,41}, {20,49}, {26,55}, {23,31}, {23,54}, {4,58}, {25,34}, {11,39}, {6,49}, {3,52}, {27,50}, {5,60}, {18,58}, {5,37}, {24,47}, {26,35}, {13,55}, {1,36}, {19,42}, {16,34}, {13,51}, {15,45}, {10,35}, {26,52}, {27,61}, {8,38}, {20,55}, {4,49}, {12,52}, {17,36}, {5,34}, {18,47}, {14,32}, {13,41}, {26,36}, {22,34}, {22,58}, {9,29}, {9,39}, {8,42}, {18,33}, {5,54}, {22,43}, {4,61}, {10,59}, {16,59}, {20,41}, {14,46}, {21,63}, {2,39}, {9,46}, {27,39}, {1,42}, {7,32}, {27,40}, {19,38}, {25,33}, {3,51}, {27,60}, {17,57}, {5,53}, {5,35}, {3,63}, {3,36}, {19,49}, {17,29}, {11,60}, {26,41}, {1,30}, {21,61}, {3,30}, {3,55}, {9,51}, {1,47}, {14,33}, {20,51}, {10,46}, {17,58}, {14,39}, {19,30}, {11,48}, {4,41}, {9,38}, {8,41}, {27,37}, {18,38}, {21,37}, {7,46}, {13,36}, {22,29}, {25,32}, {12,41}, {18,54}, {26,54}, {20,31}, {11,44}, {5,61}, {8,59}, {24,59}, {21,42}, {17,28}, {19,45}, {11,46}, {16,56}, {22,30}, {2,43}, {22,44}, {10,31}, {9,31}, {4,57}, {10,29}, {25,61}, {23,51}, {13,50}, {23,56}, {11,61}, {9,30}, {3,32}, {18,44}, {26,62}, {6,45}, {20,44}, {17,30}, {5,40}, {20,47}, {4,50}, {23,47}, {21,58}, {25,45}, {15,35}, {25,53}, {6,31}, {9,52}, {7,61}, {10,52}, {22,57}, {13,38}, {15,49}, {24,63}, {10,54}, {21,59}, {19,53}, {18,31}, {24,43}, {14,40}, {16,31}, {23,59}, {23,34}, {4,36}, {1,32}, {9,44}, {1,54}, {22,52}, {24,29}, {19,29}, {17,63}, {22,39}, {6,57}, {5,31}, {20,48}, {4,44}, {24,60}, {12,43}, {3,53}, {10,40}, {27,46}, {1,62}, {18,30}, {2,28}, {8,29}, {22,38}, {23,52}, {25,43}, {23,32}, {10,50}, {20,50}, {14,51}, {19,33}, {3,34}, {16,53}, {18,28}, {8,43}, {25,39}, {3,56}, {12,61}, {11,45}, {1,33}, {5,58}, {8,58}, {12,44}, {7,47}, {2,37}, {14,30}, {13,62}, {12,58}, {3,57}, {18,49}, {15,55}, {15,47}, {7,51}, {19,35}, {26,50}, {9,50}, {26,32}, {15,42}, {7,42}, {14,61}, {12,34}, {26,57}, {23,30}, {19,58}, {21,48}, {21,51}, {23,46}, {1,56}, {20,45}, {10,60}, {11,28}, {2,47}, {14,42}, {17,53}, {8,35}, {9,45}, {12,59}, {12,57}, {1,28}, {22,63}, {2,38}, {12,32}, {24,62}, {25,35}, {27,62}, {21,36}, {2,63}, {8,62}, {6,55}, {6,53}, {7,44}, {7,43}, {9,40}, {24,42}, {12,54}, {14,53}, {1,46}, {25,55}, {15,43}, {25,60}, {12,35}, {6,35}, {11,50}, {13,52}, {6,50}, {22,28}, {26,56}, {4,48}, {18,34}, {17,49}, {17,48}, {18,37}, {5,33}, {4,54} }; // ETB63.64 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 23328 EdgesBipt[63][64]:={ {6,38}, {6,59}, {9,32}, {4,28}, {25,37}, {5,43}, {3,58}, {23,53}, {27,59}, {11,59}, {2,60}, {12,63}, {25,40}, {13,37}, {1,40}, {16,63}, {13,39}, {17,33}, {8,40}, {3,35}, {16,55}, {24,54}, {17,56}, {6,48}, {20,37}, {20,58}, {5,32}, {15,41}, {6,56}, {14,29}, {27,56}, {2,33}, {10,56}, {15,57}, {24,58}, {27,36}, {22,55}, {12,48}, {18,32}, {1,52}, {16,48}, {2,52}, {20,61}, {4,30}, {16,49}, {23,38}, {20,43}, {6,60}, {21,38}, {20,49}, {23,31}, {17,59}, {12,42}, {14,62}, {11,39}, {6,49}, {26,29}, {23,28}, {27,50}, {13,47}, {24,30}, {24,47}, {13,55}, {20,35}, {1,36}, {23,42}, {16,34}, {13,51}, {2,56}, {26,52}, {13,58}, {8,38}, {18,57}, {17,47}, {9,47}, {17,36}, {2,29}, {18,47}, {14,32}, {8,49}, {25,52}, {16,40}, {20,42}, {26,36}, {22,34}, {22,58}, {9,39}, {8,42}, {18,36}, {22,43}, {4,61}, {11,63}, {9,59}, {26,42}, {14,35}, {27,39}, {7,32}, {27,40}, {3,31}, {19,47}, {25,33}, {7,37}, {5,53}, {5,35}, {3,63}, {19,49}, {11,60}, {14,54}, {27,57}, {4,60}, {2,44}, {21,45}, {21,61}, {14,28}, {12,56}, {6,36}, {23,39}, {23,40}, {1,55}, {24,53}, {3,30}, {9,51}, {14,33}, {2,51}, {10,38}, {11,33}, {11,48}, {10,55}, {8,47}, {18,38}, {21,37}, {8,45}, {3,59}, {11,58}, {10,61}, {3,29}, {13,36}, {1,51}, {21,57}, {22,29}, {12,41}, {18,54}, {20,54}, {20,31}, {4,47}, {11,34}, {24,59}, {17,28}, {19,45}, {15,60}, {25,30}, {15,58}, {27,34}, {10,31}, {9,31}, {4,57}, {25,41}, {10,44}, {10,29}, {15,52}, {17,46}, {25,61}, {15,53}, {23,51}, {23,56}, {13,31}, {5,39}, {19,55}, {26,62}, {7,28}, {19,41}, {8,34}, {15,46}, {10,30}, {23,47}, {21,60}, {12,45}, {15,61}, {4,34}, {1,57}, {26,31}, {6,31}, {17,52}, {9,52}, {21,32}, {19,50}, {27,35}, {15,49}, {24,63}, {21,59}, {19,53}, {14,40}, {1,48}, {7,49}, {24,43}, {9,41}, {16,31}, {7,39}, {3,41}, {22,41}, {15,39}, {20,48}, {16,44}, {2,54}, {12,43}, {18,41}, {26,30}, {7,29}, {18,30}, {22,38}, {13,44}, {21,46}, {5,46}, {4,55}, {1,45}, {20,50}, {9,61}, {10,50}, {14,51}, {27,49}, {11,30}, {19,33}, {7,55}, {16,46}, {15,29}, {14,59}, {26,60}, {4,46}, {19,60}, {25,39}, {12,62}, {20,28}, {8,58}, {3,45}, {26,28}, {24,57}, {2,37}, {8,33}, {13,62}, {6,54}, {27,29}, {22,33}, {21,44}, {1,53}, {19,35}, {24,52}, {9,50}, {26,32}, {15,42}, {22,51}, {13,35}, {2,50}, {6,41}, {10,53}, {14,61}, {24,44}, {12,34}, {8,44}, {27,44}, {21,48}, {21,51}, {4,35}, {19,32}, {23,46}, {1,50}, {11,28}, {3,40}, {13,60}, {8,61}, {10,45}, {17,45}, {18,50}, {12,57}, {16,54}, {22,46}, {17,37}, {1,28}, {26,34}, {16,52}, {7,38}, {5,42}, {7,63}, {19,63}, {24,62}, {10,43}, {2,63}, {8,62}, {6,53}, {7,43}, {18,40}, {6,62}, {5,44}, {22,54}, {22,36}, {9,43}, {14,53}, {3,37}, {25,55}, {5,36}, {9,34}, {25,48}, {25,62}, {12,35}, {11,50}, {17,43}, {1,58}, {2,42}, {18,42}, {16,32}, {7,57}, {23,63}, {26,45}, {12,51}, {7,62}, {17,49}, {25,56}, {3,46}, {5,48}, {18,37}, {5,33}, {4,56}, {4,54}, {5,30}, {11,38} }; // ETB63.65 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 101085468550861160448000000 EdgesBipt[63][65]:={ {15,33}, {19,28}, {11,40}, {10,37}, {9,32}, {5,38}, {5,56}, {16,51}, {5,43}, {3,58}, {27,59}, {25,57}, {1,49}, {13,37}, {1,40}, {14,38}, {16,63}, {17,42}, {15,54}, {14,50}, {4,31}, {3,35}, {20,46}, {11,57}, {14,31}, {24,54}, {21,41}, {24,36}, {14,56}, {6,48}, {19,37}, {20,58}, {21,28}, {5,32}, {4,37}, {20,52}, {2,46}, {13,43}, {24,48}, {23,44}, {27,56}, {14,44}, {2,33}, {17,35}, {21,53}, {15,57}, {19,40}, {2,34}, {22,55}, {12,28}, {19,31}, {22,37}, {21,40}, {4,43}, {18,32}, {1,52}, {2,52}, {4,30}, {8,30}, {23,38}, {12,46}, {7,45}, {6,60}, {23,31}, {13,30}, {17,59}, {6,39}, {14,62}, {23,61}, {11,39}, {26,29}, {22,42}, {7,33}, {3,52}, {12,40}, {27,50}, {24,30}, {15,30}, {20,39}, {19,52}, {5,37}, {27,32}, {27,41}, {26,35}, {13,55}, {18,35}, {9,56}, {24,45}, {13,42}, {23,43}, {9,35}, {15,45}, {7,56}, {9,62}, {27,53}, {17,47}, {18,62}, {9,47}, {12,52}, {4,49}, {5,50}, {17,36}, {18,47}, {14,32}, {26,36}, {1,61}, {18,29}, {1,43}, {9,29}, {11,51}, {8,42}, {6,51}, {22,43}, {4,61}, {11,63}, {19,46}, {18,59}, {18,56}, {2,39}, {20,63}, {9,59}, {26,42}, {3,47}, {7,32}, {1,31}, {25,33}, {13,49}, {13,61}, {19,49}, {17,29}, {8,48}, {26,41}, {25,44}, {4,60}, {22,49}, {12,47}, {6,36}, {1,55}, {13,48}, {22,48}, {21,47}, {16,57}, {2,51}, {20,51}, {10,46}, {10,58}, {25,63}, {11,33}, {8,60}, {10,55}, {8,47}, {8,41}, {9,38}, {18,38}, {17,54}, {3,59}, {11,58}, {10,61}, {11,52}, {3,29}, {13,36}, {25,32}, {12,41}, {26,54}, {24,39}, {5,61}, {8,59}, {11,34}, {15,60}, {16,56}, {11,46}, {22,30}, {6,30}, {7,50}, {10,31}, {22,31}, {23,56}, {13,31}, {19,55}, {8,53}, {18,44}, {6,45}, {17,30}, {21,58}, {25,45}, {26,47}, {12,29}, {10,52}, {14,43}, {27,35}, {14,37}, {24,63}, {21,59}, {26,59}, {9,41}, {16,45}, {25,38}, {7,39}, {3,41}, {4,36}, {15,39}, {9,44}, {25,50}, {24,51}, {15,63}, {6,57}, {10,28}, {26,48}, {5,31}, {26,53}, {19,34}, {16,44}, {24,60}, {17,41}, {3,53}, {18,41}, {10,40}, {19,61}, {14,55}, {23,37}, {26,30}, {2,28}, {8,29}, {21,52}, {8,36}, {2,45}, {21,46}, {4,55}, {23,32}, {3,34}, {19,43}, {20,57}, {27,47}, {26,60}, {25,39}, {16,38}, {11,45}, {20,28}, {6,63}, {24,57}, {4,42}, {16,50}, {12,53}, {23,55}, {3,28}, {21,34}, {23,62}, {12,58}, {2,57}, {21,35}, {6,54}, {27,29}, {7,51}, {14,49}, {20,33}, {15,48}, {17,60}, {9,50}, {15,42}, {1,34}, {23,49}, {21,29}, {14,61}, {12,34}, {19,58}, {6,42}, {27,44}, {16,62}, {15,51}, {18,53}, {5,49}, {13,54}, {20,34}, {20,45}, {11,28}, {5,55}, {10,34}, {16,33}, {17,53}, {3,40}, {13,60}, {8,35}, {2,40}, {8,54}, {18,50}, {12,59}, {16,39}, {1,28}, {7,38}, {7,63}, {23,50}, {15,36}, {27,62}, {10,43}, {2,63}, {5,62}, {7,44}, {24,42}, {20,40}, {5,44}, {22,54}, {9,53}, {22,36}, {1,46}, {24,33}, {25,62}, {12,35}, {22,60}, {1,37}, {1,58}, {16,32}, {4,48}, {22,61}, {7,57}, {6,33}, {7,62}, {25,56}, {3,46}, {17,48}, {2,58}, {4,54}, {10,49}, {25,51}, {27,38} }; // ETB63.66 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2875319994335606341632 EdgesBipt[63][66]:={ {18,45}, {7,48}, {19,28}, {10,37}, {9,32}, {23,29}, {5,38}, {5,56}, {25,37}, {5,43}, {27,59}, {11,59}, {8,51}, {25,57}, {2,62}, {1,49}, {1,40}, {14,38}, {17,42}, {13,39}, {26,49}, {15,44}, {15,54}, {2,35}, {17,33}, {8,40}, {5,57}, {13,63}, {16,55}, {24,54}, {21,41}, {24,36}, {11,53}, {14,56}, {17,56}, {16,37}, {19,37}, {21,28}, {16,28}, {4,51}, {7,30}, {8,31}, {6,58}, {14,57}, {14,29}, {15,62}, {27,54}, {11,35}, {11,29}, {24,58}, {27,36}, {20,38}, {19,40}, {12,28}, {19,31}, {26,38}, {18,32}, {1,52}, {16,48}, {4,30}, {23,38}, {12,46}, {13,30}, {12,42}, {23,61}, {6,49}, {26,29}, {22,42}, {20,29}, {27,50}, {19,52}, {27,32}, {27,41}, {21,50}, {24,31}, {24,45}, {13,42}, {20,35}, {23,43}, {12,37}, {13,51}, {2,56}, {15,45}, {6,44}, {27,61}, {8,38}, {17,47}, {2,29}, {5,34}, {8,49}, {1,61}, {9,36}, {1,43}, {8,42}, {18,36}, {19,46}, {18,59}, {21,55}, {20,41}, {27,45}, {9,59}, {24,40}, {26,42}, {1,31}, {3,51}, {7,37}, {7,53}, {14,34}, {19,49}, {17,29}, {25,44}, {4,60}, {2,44}, {8,56}, {6,36}, {23,39}, {1,55}, {24,53}, {13,48}, {3,55}, {27,52}, {22,48}, {26,51}, {16,57}, {10,46}, {10,58}, {8,60}, {17,51}, {17,58}, {14,39}, {10,55}, {8,47}, {21,37}, {7,46}, {3,59}, {17,31}, {10,61}, {13,36}, {4,45}, {12,55}, {9,54}, {12,41}, {18,54}, {11,44}, {13,45}, {5,61}, {23,48}, {27,63}, {21,42}, {7,35}, {25,30}, {22,30}, {15,58}, {5,52}, {27,34}, {4,33}, {10,31}, {4,57}, {15,53}, {25,46}, {23,56}, {5,39}, {20,62}, {19,55}, {3,32}, {22,45}, {7,28}, {6,45}, {20,44}, {14,52}, {20,47}, {23,47}, {16,30}, {11,62}, {21,60}, {26,47}, {17,38}, {15,35}, {25,53}, {26,31}, {6,31}, {11,32}, {9,52}, {21,32}, {15,40}, {3,42}, {14,43}, {22,57}, {10,52}, {13,57}, {15,49}, {24,35}, {24,63}, {21,59}, {9,41}, {20,59}, {7,39}, {3,41}, {23,34}, {4,36}, {4,63}, {22,39}, {15,63}, {10,28}, {19,34}, {3,60}, {18,61}, {16,44}, {2,41}, {12,50}, {20,32}, {18,41}, {10,40}, {19,61}, {11,56}, {14,47}, {8,29}, {23,57}, {24,49}, {21,46}, {23,52}, {3,33}, {20,50}, {9,61}, {3,50}, {16,53}, {19,43}, {7,55}, {16,46}, {11,47}, {26,60}, {18,52}, {25,39}, {21,33}, {20,53}, {8,58}, {6,63}, {2,53}, {4,42}, {5,29}, {14,30}, {3,28}, {12,33}, {8,33}, {5,47}, {6,54}, {22,33}, {12,60}, {11,41}, {17,60}, {9,50}, {22,51}, {1,34}, {2,50}, {14,61}, {17,40}, {24,44}, {23,30}, {19,58}, {21,51}, {16,62}, {18,43}, {13,33}, {13,54}, {2,47}, {16,35}, {10,34}, {13,60}, {9,45}, {12,59}, {18,50}, {9,63}, {18,63}, {16,39}, {1,28}, {20,56}, {22,63}, {2,38}, {2,59}, {12,32}, {15,36}, {24,62}, {25,35}, {10,43}, {15,31}, {6,53}, {7,44}, {6,62}, {26,40}, {27,43}, {22,54}, {22,36}, {9,43}, {26,33}, {1,46}, {3,37}, {25,55}, {25,28}, {9,34}, {4,39}, {25,48}, {25,62}, {6,35}, {11,50}, {22,60}, {26,58}, {14,48}, {1,37}, {1,58}, {26,56}, {4,48}, {7,57}, {2,32}, {18,34}, {12,51}, {7,62}, {17,49}, {3,46}, {5,48}, {5,30}, {4,54}, {11,38}, {10,49}, {6,40} }; // ETB63.67 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 285315214344192 EdgesBipt[63][67]:={ {24,34}, {18,45}, {6,52}, {7,48}, {19,28}, {11,40}, {16,47}, {15,59}, {8,57}, {27,48}, {6,59}, {5,38}, {23,29}, {5,56}, {4,28}, {23,53}, {25,47}, {27,59}, {8,51}, {2,60}, {12,63}, {22,40}, {1,49}, {25,40}, {14,38}, {16,63}, {13,39}, {26,49}, {3,61}, {10,62}, {17,33}, {16,58}, {11,57}, {14,31}, {27,33}, {14,56}, {21,54}, {17,56}, {20,58}, {1,35}, {7,30}, {15,41}, {8,31}, {20,52}, {4,40}, {14,29}, {24,28}, {27,56}, {13,40}, {11,29}, {2,34}, {19,31}, {26,38}, {16,48}, {2,52}, {4,30}, {23,38}, {9,33}, {13,59}, {7,45}, {26,39}, {24,46}, {17,39}, {6,60}, {23,31}, {13,30}, {4,58}, {17,62}, {11,39}, {3,52}, {20,29}, {5,60}, {20,39}, {5,37}, {27,41}, {21,50}, {9,56}, {1,36}, {23,42}, {6,46}, {10,35}, {13,58}, {8,38}, {12,52}, {2,29}, {13,41}, {8,49}, {16,40}, {20,42}, {1,61}, {24,37}, {27,30}, {22,58}, {6,34}, {1,43}, {4,62}, {7,54}, {18,33}, {23,60}, {19,46}, {18,59}, {3,43}, {15,28}, {18,56}, {24,41}, {21,63}, {27,45}, {2,39}, {9,59}, {14,35}, {22,59}, {1,31}, {3,51}, {18,55}, {17,57}, {5,53}, {11,42}, {7,53}, {5,35}, {3,63}, {3,36}, {19,49}, {25,29}, {11,60}, {14,60}, {21,45}, {8,56}, {21,61}, {8,50}, {18,51}, {16,29}, {13,48}, {9,51}, {22,48}, {26,51}, {10,36}, {15,37}, {15,34}, {10,46}, {25,63}, {9,55}, {17,51}, {4,41}, {9,38}, {27,37}, {24,55}, {18,38}, {11,58}, {10,61}, {11,52}, {17,31}, {26,44}, {27,63}, {11,34}, {24,59}, {7,35}, {15,60}, {25,30}, {22,30}, {22,44}, {10,31}, {4,57}, {10,44}, {7,58}, {15,52}, {23,56}, {23,35}, {9,30}, {3,32}, {26,62}, {17,44}, {15,46}, {20,47}, {23,47}, {25,45}, {16,30}, {12,45}, {15,61}, {17,38}, {25,53}, {26,31}, {11,32}, {27,51}, {21,32}, {22,57}, {22,62}, {13,57}, {14,37}, {1,44}, {10,54}, {19,53}, {19,44}, {24,43}, {9,41}, {16,45}, {22,41}, {1,54}, {4,59}, {20,60}, {6,43}, {6,37}, {8,32}, {22,39}, {10,28}, {5,31}, {4,44}, {24,60}, {7,40}, {12,50}, {12,43}, {20,32}, {17,50}, {18,41}, {19,61}, {14,55}, {23,37}, {19,62}, {1,62}, {7,29}, {18,30}, {14,47}, {21,52}, {13,44}, {3,33}, {16,36}, {20,50}, {3,50}, {3,34}, {16,53}, {19,43}, {20,57}, {11,47}, {4,46}, {25,36}, {12,61}, {21,33}, {3,54}, {12,36}, {3,45}, {7,47}, {5,29}, {27,55}, {23,55}, {21,34}, {12,33}, {8,33}, {13,62}, {5,47}, {2,57}, {15,55}, {14,49}, {1,53}, {19,35}, {26,50}, {24,52}, {26,32}, {15,42}, {21,43}, {2,50}, {6,41}, {23,49}, {10,53}, {24,61}, {12,34}, {8,44}, {19,36}, {26,57}, {6,28}, {6,42}, {21,51}, {5,49}, {20,34}, {2,47}, {16,35}, {5,55}, {14,42}, {2,40}, {9,45}, {16,54}, {9,63}, {18,63}, {22,46}, {13,28}, {1,28}, {7,63}, {5,42}, {12,32}, {25,35}, {10,43}, {21,36}, {8,62}, {6,55}, {24,42}, {20,40}, {12,54}, {25,54}, {26,33}, {14,53}, {1,46}, {8,39}, {15,43}, {13,46}, {4,39}, {25,48}, {7,36}, {17,32}, {11,50}, {25,58}, {22,28}, {26,56}, {2,42}, {6,61}, {4,48}, {2,32}, {18,48}, {17,49}, {12,51}, {9,48}, {19,54}, {18,37}, {2,58}, {10,49}, {9,37}, {27,38} }; // ETB63.68 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9476762676643233792 EdgesBipt[63][68]:={ {24,34}, {16,47}, {8,57}, {27,48}, {11,49}, {5,38}, {16,51}, {25,37}, {25,47}, {8,51}, {5,45}, {2,60}, {8,63}, {25,40}, {14,38}, {16,63}, {15,44}, {3,61}, {15,54}, {14,50}, {17,33}, {4,31}, {5,57}, {26,43}, {21,30}, {11,57}, {24,32}, {24,54}, {21,41}, {2,49}, {21,54}, {14,45}, {16,37}, {15,56}, {20,37}, {16,28}, {1,35}, {2,61}, {8,31}, {13,43}, {6,56}, {6,58}, {14,57}, {10,48}, {27,54}, {2,33}, {6,32}, {24,56}, {4,38}, {21,53}, {3,49}, {24,58}, {27,36}, {10,47}, {22,55}, {4,43}, {15,32}, {23,45}, {20,61}, {23,38}, {7,59}, {16,49}, {13,59}, {26,39}, {27,28}, {24,46}, {17,39}, {21,38}, {12,38}, {20,49}, {26,55}, {12,42}, {6,39}, {14,62}, {26,29}, {23,28}, {19,48}, {13,47}, {24,30}, {2,48}, {15,30}, {16,61}, {21,50}, {13,55}, {1,36}, {1,29}, {12,37}, {2,56}, {6,46}, {23,58}, {10,35}, {6,44}, {5,50}, {5,34}, {2,36}, {20,36}, {25,52}, {16,40}, {27,30}, {9,36}, {6,34}, {12,49}, {4,62}, {18,36}, {22,43}, {6,51}, {3,38}, {10,59}, {16,59}, {19,46}, {5,28}, {14,46}, {26,63}, {21,62}, {22,59}, {27,40}, {19,47}, {27,60}, {18,55}, {7,37}, {17,57}, {14,34}, {17,29}, {11,60}, {26,41}, {4,32}, {2,44}, {21,61}, {14,28}, {23,40}, {11,36}, {3,30}, {27,52}, {1,47}, {26,51}, {10,36}, {14,33}, {15,34}, {10,58}, {10,46}, {25,63}, {11,33}, {22,56}, {9,55}, {17,51}, {25,59}, {11,48}, {8,41}, {21,37}, {8,45}, {3,29}, {17,31}, {3,62}, {1,41}, {1,59}, {9,54}, {12,41}, {18,54}, {11,44}, {4,47}, {24,39}, {25,49}, {17,55}, {21,42}, {7,35}, {5,52}, {15,58}, {12,30}, {6,30}, {22,44}, {9,31}, {10,29}, {25,61}, {13,56}, {22,31}, {22,50}, {13,50}, {11,61}, {13,31}, {9,30}, {8,53}, {7,28}, {20,44}, {19,41}, {14,52}, {15,46}, {5,40}, {4,50}, {12,29}, {26,31}, {11,32}, {9,52}, {7,61}, {3,42}, {22,62}, {13,38}, {24,63}, {19,53}, {18,31}, {14,40}, {1,48}, {7,49}, {7,39}, {3,41}, {23,34}, {15,39}, {4,59}, {7,52}, {20,60}, {19,29}, {17,63}, {24,51}, {15,63}, {20,48}, {26,53}, {19,34}, {4,44}, {21,49}, {7,40}, {12,50}, {17,41}, {20,32}, {3,53}, {1,60}, {11,56}, {18,30}, {8,29}, {23,57}, {22,38}, {13,44}, {14,58}, {2,45}, {23,52}, {5,46}, {4,55}, {13,32}, {19,59}, {3,50}, {9,28}, {20,57}, {18,28}, {18,52}, {19,60}, {8,43}, {25,39}, {12,61}, {12,62}, {11,45}, {5,58}, {3,54}, {6,63}, {7,47}, {2,37}, {12,53}, {27,55}, {10,41}, {8,33}, {13,62}, {23,62}, {2,57}, {6,54}, {7,51}, {20,33}, {1,53}, {19,35}, {15,42}, {1,34}, {13,35}, {10,53}, {21,29}, {24,44}, {9,60}, {19,36}, {26,57}, {19,58}, {6,42}, {4,35}, {18,43}, {23,46}, {15,51}, {20,45}, {10,60}, {11,37}, {23,33}, {16,35}, {8,55}, {10,34}, {17,53}, {17,45}, {16,39}, {20,56}, {16,52}, {7,63}, {23,50}, {25,35}, {22,35}, {5,62}, {27,42}, {18,40}, {9,40}, {24,42}, {27,43}, {18,60}, {12,54}, {9,43}, {22,47}, {26,33}, {1,46}, {27,31}, {3,37}, {22,32}, {8,39}, {9,42}, {25,28}, {17,43}, {1,58}, {18,42}, {26,45}, {2,32}, {18,48}, {9,48}, {5,33}, {4,56}, {25,51} }; // ETB63.69 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3423782572130304 EdgesBipt[63][69]:={ {15,33}, {6,52}, {18,45}, {19,28}, {6,38}, {15,38}, {8,57}, {27,48}, {6,59}, {4,28}, {5,43}, {3,58}, {23,53}, {11,59}, {19,57}, {1,49}, {1,40}, {13,39}, {3,61}, {14,50}, {5,57}, {13,63}, {16,55}, {27,33}, {11,53}, {21,54}, {2,49}, {17,56}, {16,37}, {19,37}, {15,56}, {16,28}, {2,61}, {4,37}, {13,43}, {6,56}, {24,48}, {23,44}, {27,54}, {6,32}, {17,35}, {24,56}, {3,49}, {11,35}, {6,29}, {27,36}, {20,38}, {2,34}, {21,40}, {4,43}, {16,48}, {1,52}, {2,52}, {23,45}, {8,30}, {9,33}, {26,39}, {8,52}, {12,38}, {13,30}, {17,59}, {23,54}, {17,62}, {23,36}, {12,31}, {19,48}, {12,40}, {20,29}, {3,52}, {24,30}, {18,58}, {5,37}, {24,47}, {26,35}, {18,35}, {19,42}, {2,56}, {8,38}, {17,47}, {18,62}, {2,29}, {5,34}, {14,32}, {20,42}, {26,36}, {1,61}, {27,30}, {6,34}, {1,43}, {12,49}, {18,36}, {4,61}, {10,59}, {19,46}, {3,43}, {5,28}, {20,41}, {14,46}, {21,63}, {27,45}, {9,46}, {26,63}, {27,39}, {1,31}, {3,31}, {25,33}, {27,60}, {7,37}, {7,53}, {9,58}, {3,63}, {3,36}, {13,61}, {17,29}, {8,48}, {27,57}, {14,60}, {4,32}, {21,45}, {8,56}, {14,28}, {12,56}, {12,47}, {1,55}, {13,48}, {9,51}, {22,48}, {16,57}, {10,36}, {14,33}, {20,51}, {25,63}, {22,56}, {9,55}, {21,31}, {25,59}, {19,30}, {8,47}, {4,41}, {7,46}, {10,61}, {13,36}, {26,44}, {22,29}, {25,32}, {18,54}, {26,54}, {11,44}, {13,45}, {24,39}, {5,61}, {27,63}, {21,42}, {7,35}, {15,60}, {11,46}, {22,30}, {15,58}, {5,52}, {2,43}, {22,44}, {9,31}, {25,41}, {7,58}, {23,35}, {5,39}, {24,38}, {19,55}, {18,44}, {26,62}, {7,28}, {17,44}, {8,34}, {20,47}, {4,50}, {21,58}, {25,45}, {16,30}, {11,62}, {21,60}, {4,34}, {17,38}, {12,29}, {11,32}, {22,53}, {27,51}, {15,40}, {22,62}, {22,57}, {10,52}, {13,57}, {14,37}, {15,49}, {10,54}, {18,31}, {7,49}, {20,59}, {23,59}, {25,50}, {4,59}, {24,29}, {20,60}, {6,43}, {22,39}, {24,51}, {26,48}, {26,53}, {16,44}, {21,49}, {24,60}, {7,40}, {17,41}, {20,32}, {25,42}, {17,50}, {14,55}, {26,30}, {8,29}, {22,38}, {5,46}, {4,55}, {6,47}, {23,32}, {10,50}, {20,50}, {14,51}, {19,33}, {19,39}, {9,28}, {3,34}, {16,53}, {7,55}, {16,46}, {15,29}, {14,59}, {4,46}, {19,60}, {25,36}, {8,43}, {2,31}, {12,62}, {21,33}, {3,54}, {3,45}, {12,44}, {24,57}, {12,53}, {10,41}, {7,31}, {23,62}, {12,58}, {10,63}, {18,49}, {15,47}, {20,33}, {13,34}, {11,41}, {15,42}, {1,34}, {6,41}, {9,60}, {26,57}, {21,51}, {16,62}, {15,51}, {18,53}, {13,54}, {11,37}, {11,28}, {2,47}, {16,35}, {5,55}, {14,42}, {10,34}, {17,53}, {3,40}, {8,61}, {10,45}, {2,40}, {14,41}, {18,63}, {16,39}, {1,28}, {20,56}, {2,38}, {23,50}, {22,35}, {10,43}, {21,36}, {15,31}, {7,44}, {27,42}, {9,49}, {18,40}, {9,40}, {19,51}, {11,55}, {24,42}, {25,54}, {4,52}, {22,47}, {1,46}, {8,39}, {23,41}, {9,42}, {24,33}, {10,32}, {25,60}, {12,35}, {17,32}, {11,50}, {13,52}, {6,50}, {1,37}, {1,58}, {6,61}, {23,63}, {26,45}, {7,62}, {5,48}, {2,58}, {5,30}, {9,37}, {25,51} }; // ETB63.70 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2821109907456 EdgesBipt[63][70]:={ {24,34}, {7,48}, {6,38}, {10,37}, {8,57}, {14,36}, {26,46}, {5,56}, {16,51}, {27,59}, {5,45}, {2,62}, {25,40}, {1,40}, {14,38}, {16,63}, {17,42}, {3,61}, {11,43}, {15,54}, {10,62}, {14,50}, {4,31}, {16,58}, {5,57}, {26,43}, {11,57}, {17,56}, {19,37}, {21,28}, {5,32}, {1,35}, {15,41}, {6,56}, {24,28}, {2,33}, {17,35}, {6,32}, {3,49}, {10,56}, {6,29}, {24,58}, {22,55}, {21,40}, {4,43}, {18,32}, {1,52}, {16,48}, {2,52}, {23,45}, {4,30}, {13,59}, {8,46}, {27,28}, {24,46}, {16,60}, {12,38}, {26,55}, {17,59}, {23,54}, {6,39}, {14,62}, {26,29}, {23,28}, {3,52}, {27,50}, {13,47}, {15,30}, {18,58}, {20,39}, {18,35}, {9,35}, {1,29}, {19,42}, {23,42}, {16,34}, {6,44}, {27,61}, {17,47}, {9,47}, {5,34}, {18,47}, {18,46}, {13,41}, {20,36}, {25,52}, {20,42}, {24,37}, {9,36}, {22,43}, {6,51}, {18,59}, {3,43}, {15,28}, {21,55}, {18,56}, {2,39}, {20,63}, {9,59}, {24,40}, {27,40}, {19,56}, {7,60}, {3,31}, {7,37}, {11,42}, {19,49}, {25,29}, {17,29}, {8,48}, {26,41}, {14,60}, {4,60}, {21,45}, {12,56}, {12,47}, {23,40}, {4,53}, {16,29}, {3,30}, {3,55}, {13,48}, {27,52}, {1,47}, {22,48}, {2,51}, {20,51}, {10,38}, {11,33}, {8,60}, {14,39}, {21,31}, {19,30}, {10,55}, {8,47}, {4,41}, {27,37}, {17,54}, {8,45}, {7,46}, {10,61}, {13,36}, {1,41}, {26,44}, {1,59}, {13,53}, {21,57}, {9,54}, {20,54}, {11,44}, {24,39}, {8,59}, {7,34}, {10,31}, {25,41}, {10,44}, {7,58}, {15,52}, {15,53}, {22,31}, {22,50}, {13,50}, {23,35}, {20,30}, {9,30}, {5,39}, {18,44}, {22,45}, {16,41}, {25,31}, {17,44}, {13,29}, {8,34}, {17,30}, {21,58}, {23,47}, {12,45}, {25,53}, {26,31}, {11,32}, {7,61}, {11,54}, {15,40}, {22,62}, {3,42}, {22,57}, {27,35}, {14,37}, {13,38}, {24,63}, {19,44}, {7,49}, {25,38}, {23,59}, {4,36}, {15,39}, {4,29}, {25,50}, {14,63}, {20,60}, {24,51}, {15,63}, {20,48}, {26,53}, {18,61}, {12,50}, {17,41}, {19,61}, {5,63}, {11,56}, {2,28}, {23,57}, {21,52}, {22,38}, {8,36}, {24,49}, {2,45}, {21,46}, {23,52}, {5,46}, {4,55}, {25,43}, {16,36}, {10,50}, {9,61}, {14,51}, {27,49}, {11,30}, {19,39}, {16,53}, {7,55}, {20,57}, {16,46}, {15,29}, {27,47}, {12,62}, {11,45}, {21,33}, {5,58}, {3,54}, {8,58}, {6,63}, {12,44}, {4,42}, {3,28}, {21,34}, {7,31}, {12,33}, {8,33}, {13,62}, {2,57}, {18,49}, {22,33}, {14,49}, {11,31}, {20,33}, {1,53}, {5,51}, {24,52}, {26,32}, {15,42}, {1,34}, {13,35}, {21,43}, {2,50}, {6,41}, {24,61}, {14,61}, {9,60}, {23,30}, {19,32}, {15,51}, {20,45}, {23,33}, {17,53}, {3,40}, {13,60}, {8,35}, {2,40}, {12,59}, {12,57}, {16,39}, {1,28}, {26,34}, {2,38}, {19,63}, {12,32}, {27,62}, {10,43}, {2,63}, {6,53}, {9,49}, {7,43}, {11,55}, {6,62}, {19,51}, {5,44}, {22,36}, {1,46}, {3,37}, {9,42}, {25,55}, {25,28}, {10,32}, {25,62}, {12,35}, {7,36}, {17,32}, {22,60}, {6,50}, {26,58}, {14,48}, {1,58}, {26,56}, {4,48}, {18,34}, {9,48}, {19,54}, {18,37}, {5,33}, {4,54}, {10,49}, {9,37}, {27,38} }; // ETB63.71 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1019215872 EdgesBipt[63][71]:={ {24,34}, {6,52}, {7,48}, {6,38}, {16,47}, {8,57}, {27,48}, {9,32}, {4,28}, {25,37}, {2,55}, {5,45}, {1,40}, {13,39}, {26,49}, {15,44}, {14,50}, {10,62}, {16,58}, {26,43}, {10,33}, {27,33}, {11,53}, {21,54}, {10,39}, {14,45}, {21,28}, {5,32}, {4,51}, {7,30}, {26,61}, {2,61}, {8,31}, {20,52}, {4,40}, {13,43}, {6,56}, {14,57}, {15,62}, {27,54}, {2,33}, {4,38}, {11,35}, {6,29}, {24,58}, {27,36}, {2,34}, {12,28}, {26,38}, {21,40}, {4,43}, {18,32}, {1,52}, {2,52}, {7,59}, {12,46}, {7,45}, {17,39}, {6,60}, {12,38}, {20,49}, {7,41}, {23,31}, {13,30}, {17,59}, {23,54}, {4,58}, {17,62}, {12,42}, {23,36}, {25,34}, {23,61}, {7,33}, {12,31}, {19,48}, {3,52}, {23,28}, {5,60}, {16,61}, {20,39}, {5,37}, {24,47}, {24,45}, {13,42}, {23,43}, {9,35}, {19,42}, {13,51}, {16,43}, {10,35}, {7,56}, {18,39}, {6,44}, {26,52}, {18,57}, {17,47}, {5,50}, {17,36}, {2,29}, {18,46}, {14,32}, {8,49}, {25,52}, {16,40}, {10,51}, {27,30}, {6,34}, {12,49}, {11,51}, {8,42}, {7,54}, {5,54}, {6,51}, {3,38}, {11,63}, {4,61}, {10,59}, {20,41}, {21,63}, {9,59}, {24,40}, {14,35}, {22,59}, {27,40}, {19,56}, {19,38}, {17,57}, {11,42}, {3,63}, {13,61}, {17,29}, {11,60}, {22,49}, {21,45}, {12,56}, {1,55}, {4,53}, {16,29}, {13,48}, {10,57}, {2,51}, {15,37}, {10,46}, {25,63}, {11,33}, {22,56}, {8,60}, {9,55}, {14,39}, {21,31}, {19,30}, {8,47}, {27,37}, {17,54}, {3,59}, {13,36}, {21,57}, {22,29}, {20,31}, {24,39}, {25,49}, {11,46}, {16,56}, {25,30}, {2,43}, {15,58}, {4,33}, {10,44}, {15,53}, {22,31}, {20,30}, {9,30}, {20,62}, {8,53}, {3,32}, {22,45}, {20,44}, {25,31}, {17,44}, {21,58}, {25,45}, {15,35}, {26,31}, {22,53}, {27,51}, {15,40}, {19,50}, {13,57}, {1,44}, {15,49}, {24,63}, {19,53}, {27,58}, {19,44}, {14,40}, {9,41}, {20,59}, {23,59}, {3,41}, {22,41}, {1,32}, {14,63}, {24,29}, {21,39}, {24,51}, {10,28}, {26,48}, {20,48}, {18,61}, {21,49}, {2,41}, {17,41}, {25,42}, {17,50}, {5,63}, {23,37}, {26,30}, {19,62}, {1,62}, {8,29}, {22,38}, {14,58}, {21,46}, {6,47}, {16,36}, {9,61}, {3,50}, {3,34}, {20,57}, {18,28}, {15,29}, {4,46}, {19,60}, {18,52}, {8,43}, {3,56}, {16,38}, {12,62}, {11,45}, {12,36}, {3,45}, {12,44}, {24,57}, {2,37}, {5,29}, {16,50}, {27,55}, {10,41}, {23,55}, {14,30}, {3,28}, {5,47}, {15,55}, {15,47}, {7,51}, {19,35}, {12,60}, {24,52}, {9,50}, {1,34}, {23,49}, {10,53}, {6,42}, {27,44}, {4,35}, {19,32}, {13,33}, {18,43}, {23,46}, {13,54}, {20,34}, {1,50}, {11,37}, {11,28}, {2,47}, {5,55}, {13,60}, {8,61}, {8,35}, {18,50}, {16,54}, {1,28}, {26,34}, {22,63}, {7,38}, {5,42}, {7,63}, {2,59}, {22,35}, {27,62}, {21,36}, {15,31}, {11,55}, {6,62}, {26,40}, {18,60}, {12,54}, {9,53}, {9,43}, {22,47}, {14,53}, {1,46}, {8,39}, {23,41}, {25,55}, {5,36}, {24,33}, {25,60}, {25,48}, {7,36}, {17,32}, {26,58}, {14,48}, {1,37}, {1,58}, {26,56}, {18,42}, {16,32}, {6,33}, {18,34}, {3,46}, {9,48}, {4,56}, {9,37} }; // ETB63.72 // Bipartite(27,36) Valencies [12,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 339738624 EdgesBipt[63][72]:={ {24,34}, {15,33}, {6,38}, {10,37}, {27,48}, {6,59}, {4,28}, {27,59}, {11,59}, {25,57}, {5,45}, {25,40}, {13,37}, {14,38}, {26,49}, {15,44}, {3,61}, {4,31}, {5,57}, {13,63}, {11,57}, {21,41}, {14,56}, {20,37}, {21,28}, {5,32}, {1,35}, {6,56}, {13,40}, {15,62}, {27,54}, {6,32}, {17,35}, {24,56}, {21,53}, {11,29}, {15,57}, {24,58}, {27,36}, {19,40}, {2,34}, {22,55}, {22,37}, {12,28}, {26,38}, {4,43}, {16,42}, {16,48}, {2,52}, {8,30}, {12,46}, {8,37}, {9,57}, {17,39}, {8,52}, {21,38}, {16,60}, {23,31}, {23,54}, {17,59}, {23,36}, {23,61}, {11,39}, {22,42}, {12,31}, {3,52}, {12,40}, {5,60}, {2,48}, {18,58}, {27,41}, {24,47}, {13,55}, {24,31}, {24,45}, {23,43}, {20,35}, {1,29}, {12,37}, {13,51}, {16,34}, {6,46}, {23,58}, {6,44}, {13,58}, {20,55}, {17,47}, {9,47}, {4,49}, {5,50}, {18,47}, {26,36}, {1,61}, {27,30}, {18,29}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {18,36}, {5,54}, {18,33}, {3,38}, {4,61}, {3,43}, {15,28}, {18,56}, {5,28}, {20,41}, {21,63}, {2,39}, {20,63}, {9,59}, {24,40}, {26,42}, {26,63}, {14,35}, {1,42}, {19,56}, {7,60}, {19,38}, {19,47}, {25,33}, {3,51}, {7,37}, {17,57}, {2,30}, {17,29}, {8,48}, {14,60}, {25,44}, {4,60}, {21,45}, {8,50}, {23,39}, {6,36}, {23,40}, {1,55}, {18,51}, {4,53}, {11,36}, {1,47}, {10,36}, {14,33}, {20,51}, {15,34}, {10,58}, {10,46}, {11,33}, {21,31}, {10,55}, {8,41}, {27,37}, {18,38}, {3,59}, {10,61}, {12,55}, {22,29}, {18,54}, {26,54}, {11,44}, {13,45}, {8,59}, {23,48}, {15,60}, {16,56}, {25,30}, {7,34}, {4,57}, {9,31}, {15,52}, {20,30}, {24,38}, {5,39}, {22,45}, {8,34}, {15,46}, {16,30}, {11,62}, {25,53}, {26,31}, {9,52}, {11,54}, {14,43}, {19,50}, {24,63}, {10,54}, {21,59}, {19,53}, {19,44}, {7,49}, {9,41}, {20,59}, {3,41}, {15,39}, {1,32}, {24,29}, {7,52}, {19,29}, {17,63}, {8,32}, {10,28}, {26,48}, {20,48}, {18,61}, {16,44}, {21,49}, {17,41}, {17,50}, {10,40}, {5,63}, {1,60}, {26,30}, {19,62}, {7,29}, {23,57}, {24,49}, {2,45}, {21,46}, {5,46}, {3,33}, {10,50}, {9,61}, {14,51}, {27,49}, {3,34}, {7,55}, {11,47}, {26,60}, {4,46}, {8,43}, {25,39}, {3,56}, {16,38}, {12,62}, {20,53}, {12,44}, {7,47}, {4,42}, {16,50}, {12,53}, {27,55}, {14,30}, {3,28}, {7,31}, {12,58}, {2,57}, {21,35}, {6,54}, {22,33}, {20,33}, {1,53}, {19,35}, {13,34}, {24,52}, {11,41}, {15,42}, {22,51}, {7,42}, {2,50}, {6,41}, {23,49}, {14,61}, {23,30}, {6,28}, {19,58}, {27,44}, {4,35}, {19,32}, {16,62}, {18,43}, {13,33}, {15,51}, {20,45}, {1,50}, {8,55}, {14,42}, {17,53}, {8,61}, {2,40}, {21,56}, {17,45}, {13,28}, {16,52}, {22,63}, {5,42}, {25,35}, {27,62}, {10,43}, {2,63}, {7,44}, {9,49}, {18,40}, {6,62}, {22,54}, {22,36}, {9,43}, {22,47}, {14,53}, {27,31}, {5,36}, {9,34}, {10,32}, {13,46}, {4,39}, {25,48}, {25,62}, {12,35}, {17,32}, {22,60}, {13,52}, {25,58}, {6,50}, {14,48}, {1,37}, {26,56}, {16,32}, {26,45}, {2,32}, {7,62}, {3,46}, {2,58}, {25,51} }; // ETB63.73 // Bipartite(14,49) Valencies [14,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 392 EdgesBipt[63][73]:={ {9,58}, {10,24}, {1,20}, {13,52}, {6,32}, {2,46}, {13,21}, {11,35}, {5,34}, {3,22}, {12,51}, {2,56}, {3,40}, {4,53}, {4,50}, {14,51}, {4,56}, {5,55}, {8,43}, {9,45}, {7,55}, {8,28}, {1,32}, {8,33}, {7,44}, {1,40}, {7,61}, {7,54}, {12,39}, {4,31}, {9,49}, {1,19}, {12,55}, {11,58}, {7,63}, {9,43}, {7,34}, {2,62}, {1,21}, {11,41}, {10,44}, {12,58}, {2,41}, {3,57}, {1,30}, {8,15}, {9,35}, {8,27}, {13,29}, {13,16}, {6,22}, {10,30}, {8,16}, {4,38}, {2,25}, {3,46}, {6,31}, {1,38}, {4,60}, {1,17}, {7,56}, {9,47}, {5,22}, {8,19}, {1,18}, {10,47}, {5,50}, {12,17}, {9,27}, {12,20}, {12,36}, {4,41}, {2,38}, {11,49}, {2,52}, {12,44}, {11,51}, {14,40}, {4,42}, {10,54}, {4,45}, {7,43}, {10,28}, {11,31}, {9,63}, {2,59}, {11,59}, {4,21}, {10,29}, {9,54}, {2,57}, {6,18}, {13,18}, {13,31}, {7,53}, {3,32}, {7,26}, {6,33}, {14,48}, {11,23}, {11,29}, {14,55}, {9,56}, {9,37}, {12,47}, {13,23}, {14,61}, {8,22}, {5,48}, {13,25}, {8,35}, {14,58}, {3,50}, {7,62}, {6,23}, {5,28}, {8,26}, {5,42}, {6,15}, {10,43}, {14,59}, {11,52}, {3,19}, {1,24}, {6,27}, {5,44}, {11,39}, {6,26}, {12,40}, {12,30}, {8,23}, {5,36}, {1,25}, {6,19}, {1,46}, {13,15}, {1,15}, {7,60}, {10,39}, {14,20}, {14,25}, {4,37}, {6,42}, {5,60}, {10,35}, {2,21}, {3,30}, {8,34}, {10,17}, {3,24}, {11,37}, {11,27}, {6,45}, {10,36}, {1,16}, {3,48}, {10,34}, {13,51}, {8,24}, {13,41}, {4,49}, {14,52}, {9,33}, {14,57}, {11,47}, {5,26}, {3,42}, {4,18}, {12,48}, {3,38}, {9,61}, {3,28}, {7,45}, {14,46}, {7,33}, {6,37}, {12,61}, {13,39}, {6,53}, {13,17}, {13,20}, {9,59}, {2,60}, {5,62}, {2,63}, {3,36}, {12,54}, {14,63}, {8,29}, {4,32}, {5,57}, {5,53}, {14,62}, {2,50}, {2,49}, {10,16} }; // ETB63.74 // Bipartite(14,49) Valencies [14,4] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 148030688966995114721280000000 EdgesBipt[63][74]:={ {6,48}, {8,48}, {2,44}, {9,58}, {10,24}, {1,20}, {9,28}, {13,32}, {6,32}, {11,35}, {11,56}, {14,19}, {4,26}, {3,22}, {11,61}, {12,51}, {2,56}, {4,56}, {2,23}, {8,43}, {2,51}, {12,32}, {7,38}, {1,57}, {3,45}, {1,27}, {3,43}, {3,15}, {7,54}, {7,61}, {9,44}, {4,19}, {14,38}, {12,39}, {9,49}, {13,53}, {14,31}, {3,52}, {12,58}, {3,57}, {2,28}, {5,32}, {8,15}, {9,35}, {8,27}, {12,37}, {10,15}, {2,42}, {10,22}, {13,55}, {11,28}, {14,54}, {3,17}, {11,33}, {14,33}, {1,50}, {10,38}, {1,55}, {8,41}, {12,46}, {11,49}, {2,37}, {10,52}, {12,44}, {14,40}, {4,42}, {5,25}, {14,24}, {5,58}, {2,35}, {9,63}, {1,22}, {10,59}, {6,55}, {4,47}, {4,33}, {12,16}, {5,23}, {10,29}, {4,21}, {10,31}, {6,60}, {9,42}, {6,18}, {13,18}, {1,29}, {2,16}, {11,21}, {4,35}, {8,36}, {7,26}, {5,18}, {5,30}, {14,47}, {7,17}, {6,46}, {9,56}, {9,37}, {5,46}, {14,61}, {12,25}, {8,22}, {13,25}, {3,50}, {9,51}, {4,54}, {4,28}, {10,45}, {3,29}, {1,43}, {7,31}, {11,54}, {10,43}, {14,59}, {13,60}, {8,57}, {7,47}, {14,17}, {7,59}, {12,23}, {6,27}, {5,44}, {12,53}, {12,30}, {8,62}, {5,51}, {6,62}, {6,41}, {1,15}, {13,62}, {9,30}, {13,27}, {13,46}, {5,39}, {11,26}, {5,60}, {14,45}, {4,40}, {2,21}, {8,34}, {10,17}, {3,24}, {10,36}, {8,50}, {13,48}, {1,62}, {6,25}, {13,41}, {4,49}, {11,40}, {10,50}, {14,52}, {6,34}, {11,47}, {8,55}, {2,58}, {10,57}, {11,19}, {3,38}, {8,20}, {7,45}, {1,41}, {1,48}, {7,24}, {3,31}, {6,39}, {7,33}, {13,34}, {6,20}, {13,39}, {6,53}, {2,30}, {4,61}, {3,59}, {13,20}, {11,63}, {1,34}, {7,52}, {5,37}, {7,19}, {2,63}, {11,42}, {9,16}, {3,36}, {9,21}, {7,40}, {9,23}, {4,63}, {8,29}, {12,18}, {1,36}, {5,53}, {2,49}, {14,26}, {12,60}, {5,16} }; // ETB63.75 // Bipartite(18,45) Valencies [15,6] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2160 EdgesBipt[63][75]:={ {18,45}, {7,48}, {6,38}, {10,37}, {15,38}, {5,56}, {5,59}, {11,59}, {8,51}, {2,60}, {3,26}, {8,26}, {16,22}, {17,42}, {15,44}, {14,50}, {8,40}, {5,57}, {3,35}, {13,63}, {11,57}, {16,55}, {1,19}, {3,23}, {10,39}, {3,20}, {14,45}, {16,37}, {3,39}, {7,30}, {2,61}, {4,37}, {14,29}, {10,48}, {15,62}, {3,49}, {15,57}, {10,42}, {11,27}, {12,28}, {1,52}, {4,30}, {16,49}, {13,59}, {7,45}, {8,46}, {12,20}, {8,52}, {12,26}, {4,58}, {17,20}, {12,40}, {1,24}, {13,24}, {2,48}, {16,61}, {13,20}, {13,55}, {18,35}, {13,42}, {9,35}, {1,36}, {16,34}, {13,51}, {2,56}, {16,43}, {10,35}, {18,39}, {8,38}, {9,62}, {13,26}, {9,47}, {5,50}, {17,36}, {6,24}, {2,29}, {5,34}, {18,47}, {18,46}, {13,41}, {16,40}, {10,51}, {9,29}, {12,49}, {9,20}, {18,26}, {4,22}, {7,54}, {6,51}, {4,61}, {11,63}, {5,27}, {18,59}, {3,43}, {15,28}, {18,56}, {14,46}, {9,59}, {7,32}, {12,24}, {17,57}, {3,63}, {17,29}, {11,60}, {14,54}, {14,60}, {4,32}, {4,60}, {1,30}, {8,56}, {8,50}, {12,56}, {11,21}, {1,55}, {4,53}, {11,36}, {13,48}, {14,33}, {14,23}, {10,58}, {11,33}, {17,51}, {17,58}, {8,24}, {8,41}, {17,54}, {17,31}, {10,61}, {1,41}, {1,51}, {10,19}, {9,19}, {3,44}, {11,34}, {11,46}, {5,52}, {15,58}, {10,31}, {5,19}, {10,44}, {18,25}, {13,22}, {15,53}, {13,56}, {1,25}, {13,31}, {5,39}, {3,32}, {14,27}, {18,44}, {16,41}, {6,45}, {14,52}, {10,22}, {5,40}, {12,45}, {15,61}, {10,25}, {15,35}, {12,29}, {6,31}, {17,52}, {15,40}, {3,42}, {14,43}, {10,52}, {14,37}, {15,49}, {7,49}, {6,23}, {7,39}, {4,36}, {15,39}, {4,29}, {6,43}, {17,63}, {4,44}, {2,54}, {12,50}, {12,43}, {17,50}, {5,63}, {1,62}, {18,30}, {9,23}, {7,21}, {8,27}, {4,55}, {6,47}, {3,33}, {13,32}, {1,45}, {11,30}, {9,28}, {2,21}, {7,55}, {18,28}, {2,22}, {11,47}, {18,24}, {4,46}, {2,31}, {14,19}, {12,62}, {16,38}, {8,58}, {2,37}, {12,53}, {14,30}, {7,31}, {8,33}, {3,57}, {6,54}, {15,47}, {1,53}, {13,34}, {11,41}, {7,25}, {7,22}, {1,34}, {2,50}, {6,41}, {9,60}, {17,21}, {8,44}, {6,28}, {16,23}, {6,42}, {16,62}, {15,21}, {14,25}, {5,49}, {2,47}, {16,33}, {17,53}, {8,61}, {17,27}, {2,40}, {6,21}, {4,26}, {9,63}, {1,28}, {3,27}, {2,38}, {2,59}, {12,32}, {15,36}, {5,62}, {7,43}, {11,55}, {4,20}, {18,60}, {5,25}, {12,54}, {10,23}, {9,53}, {9,42}, {16,19}, {9,34}, {7,36}, {6,35}, {1,58}, {16,32}, {7,57}, {6,33}, {18,48}, {3,46}, {5,48}, {11,38}, {9,37} }; // ETB63.76 // Bipartite(18,45) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17332899271409664000000000 EdgesBipt[63][76]:={ {13,21}, {15,33}, {6,52}, {7,48}, {6,38}, {10,37}, {8,57}, {14,36}, {6,25}, {11,25}, {4,28}, {5,43}, {3,58}, {5,59}, {11,59}, {5,45}, {2,62}, {3,26}, {8,63}, {8,26}, {13,37}, {16,22}, {13,39}, {15,44}, {11,43}, {2,35}, {4,31}, {16,58}, {3,35}, {8,21}, {16,55}, {1,19}, {1,21}, {14,45}, {16,37}, {16,28}, {5,32}, {7,30}, {4,37}, {4,40}, {6,56}, {14,57}, {15,62}, {14,44}, {3,49}, {6,29}, {11,27}, {1,20}, {8,30}, {16,49}, {9,33}, {12,20}, {5,41}, {6,60}, {12,38}, {13,30}, {17,59}, {4,58}, {12,42}, {14,62}, {13,47}, {2,48}, {13,20}, {13,55}, {9,35}, {1,29}, {7,56}, {4,23}, {9,62}, {5,50}, {12,52}, {4,49}, {17,36}, {6,24}, {5,34}, {18,47}, {1,38}, {13,19}, {2,36}, {16,40}, {18,29}, {6,34}, {4,22}, {18,33}, {5,54}, {6,51}, {11,63}, {10,59}, {5,27}, {16,59}, {18,56}, {2,39}, {14,35}, {12,24}, {3,31}, {3,51}, {1,39}, {7,37}, {2,30}, {9,58}, {8,48}, {14,54}, {7,19}, {4,32}, {2,44}, {1,30}, {12,56}, {12,47}, {1,55}, {18,51}, {11,36}, {13,48}, {9,51}, {1,47}, {11,23}, {3,24}, {10,46}, {10,58}, {14,39}, {10,55}, {4,41}, {14,21}, {18,20}, {9,26}, {18,38}, {17,54}, {7,46}, {8,45}, {11,52}, {3,62}, {10,19}, {9,22}, {3,44}, {5,61}, {11,34}, {15,60}, {5,52}, {15,58}, {2,27}, {10,31}, {9,31}, {18,25}, {15,53}, {13,56}, {11,61}, {8,53}, {14,27}, {16,41}, {7,28}, {13,29}, {17,61}, {10,22}, {4,50}, {15,35}, {12,29}, {1,57}, {11,32}, {15,24}, {17,52}, {12,25}, {11,54}, {15,40}, {3,42}, {3,22}, {13,57}, {13,38}, {15,49}, {1,48}, {16,31}, {7,39}, {9,44}, {4,59}, {14,63}, {6,43}, {17,63}, {10,28}, {9,24}, {17,25}, {3,60}, {6,20}, {18,61}, {2,54}, {17,41}, {5,23}, {12,43}, {2,26}, {3,53}, {17,50}, {10,40}, {5,63}, {7,29}, {7,21}, {8,36}, {8,27}, {2,45}, {4,55}, {6,47}, {3,33}, {14,26}, {10,50}, {2,21}, {7,55}, {16,46}, {18,24}, {4,46}, {18,52}, {12,61}, {11,45}, {2,53}, {7,47}, {16,50}, {10,41}, {14,30}, {12,33}, {2,57}, {17,34}, {12,60}, {11,41}, {15,42}, {12,34}, {9,60}, {8,44}, {16,23}, {6,42}, {18,43}, {15,51}, {1,56}, {3,40}, {17,27}, {8,35}, {8,54}, {15,22}, {17,45}, {13,28}, {1,28}, {7,20}, {7,38}, {2,63}, {15,31}, {8,62}, {9,49}, {9,40}, {18,60}, {5,25}, {17,23}, {10,23}, {9,53}, {15,26}, {14,53}, {1,46}, {4,19}, {8,39}, {9,42}, {16,19}, {5,36}, {10,32}, {13,46}, {17,32}, {11,50}, {17,43}, {14,48}, {1,37}, {6,61}, {18,42}, {16,32}, {7,57}, {6,33}, {18,34}, {12,51}, {10,49} }; // ETB63.77 // Bipartite(18,45) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15794604461072056320 EdgesBipt[63][77]:={ {18,45}, {6,38}, {10,37}, {15,38}, {14,36}, {16,51}, {5,59}, {11,59}, {8,51}, {2,62}, {2,60}, {12,63}, {1,49}, {1,40}, {16,22}, {17,42}, {14,50}, {2,35}, {17,33}, {4,31}, {5,57}, {3,35}, {8,21}, {11,57}, {15,27}, {1,19}, {2,49}, {3,23}, {10,39}, {3,20}, {14,45}, {6,48}, {16,37}, {5,32}, {4,51}, {4,37}, {13,43}, {6,58}, {16,21}, {13,40}, {11,29}, {10,56}, {15,57}, {11,27}, {2,34}, {12,28}, {12,48}, {4,24}, {8,30}, {7,59}, {13,59}, {9,57}, {6,60}, {12,38}, {7,41}, {17,59}, {17,62}, {6,39}, {14,62}, {10,26}, {3,52}, {16,61}, {12,23}, {18,58}, {13,55}, {9,35}, {1,29}, {7,56}, {18,39}, {13,58}, {13,26}, {17,47}, {6,24}, {13,19}, {14,32}, {1,26}, {2,36}, {8,49}, {13,41}, {10,51}, {1,43}, {9,20}, {4,22}, {18,33}, {8,19}, {11,63}, {4,61}, {3,38}, {5,27}, {14,35}, {12,24}, {13,49}, {17,57}, {11,42}, {2,30}, {14,34}, {15,50}, {4,21}, {17,29}, {14,60}, {7,19}, {8,50}, {1,55}, {3,55}, {10,36}, {2,51}, {15,37}, {10,46}, {11,33}, {8,60}, {9,55}, {13,25}, {11,48}, {8,47}, {4,41}, {9,38}, {14,21}, {18,38}, {8,45}, {17,31}, {10,61}, {1,41}, {1,59}, {15,23}, {9,22}, {18,54}, {11,44}, {5,61}, {3,25}, {11,46}, {16,56}, {12,30}, {6,30}, {7,34}, {10,31}, {7,58}, {15,52}, {17,46}, {15,53}, {13,56}, {1,25}, {11,61}, {2,20}, {16,41}, {7,28}, {6,45}, {17,44}, {13,29}, {8,34}, {17,61}, {9,25}, {10,22}, {11,62}, {12,45}, {15,35}, {11,32}, {9,52}, {16,26}, {15,40}, {3,42}, {10,52}, {3,22}, {1,44}, {10,54}, {7,49}, {16,31}, {6,23}, {4,36}, {6,43}, {17,63}, {8,32}, {5,31}, {2,19}, {7,40}, {12,43}, {3,53}, {5,63}, {10,21}, {7,29}, {18,30}, {14,47}, {9,23}, {8,36}, {13,44}, {2,45}, {5,46}, {16,36}, {14,51}, {3,50}, {2,21}, {7,55}, {18,28}, {16,46}, {11,47}, {18,24}, {4,46}, {14,19}, {6,63}, {5,29}, {12,53}, {10,41}, {14,30}, {12,33}, {12,39}, {12,58}, {5,47}, {3,57}, {6,54}, {15,55}, {14,49}, {11,31}, {12,60}, {13,34}, {7,25}, {9,50}, {15,42}, {1,34}, {2,50}, {6,28}, {18,23}, {18,43}, {18,53}, {14,20}, {1,56}, {7,26}, {2,47}, {10,24}, {3,40}, {17,27}, {8,35}, {15,22}, {4,26}, {16,54}, {15,20}, {18,63}, {16,39}, {13,28}, {1,28}, {16,24}, {16,52}, {3,27}, {9,27}, {5,42}, {8,62}, {6,53}, {5,62}, {7,44}, {7,43}, {9,40}, {8,20}, {18,60}, {5,44}, {12,54}, {9,53}, {4,52}, {3,37}, {9,42}, {4,39}, {17,32}, {1,58}, {6,33}, {2,32}, {18,48}, {17,48}, {5,48}, {15,25}, {5,33}, {4,56}, {4,54}, {9,37} }; // ETB63.78 // Bipartite(18,45) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 285315214344192000000000 EdgesBipt[63][78]:={ {13,21}, {18,45}, {7,48}, {10,37}, {9,32}, {5,38}, {5,56}, {5,43}, {11,59}, {8,51}, {2,62}, {1,49}, {1,40}, {14,38}, {17,42}, {13,39}, {15,44}, {15,54}, {2,35}, {17,33}, {8,40}, {5,57}, {13,63}, {3,19}, {15,27}, {16,55}, {1,19}, {11,53}, {14,56}, {3,23}, {17,56}, {16,37}, {16,28}, {4,51}, {7,30}, {8,31}, {6,58}, {14,57}, {13,27}, {14,29}, {16,21}, {15,62}, {11,35}, {11,29}, {12,28}, {4,24}, {16,48}, {1,52}, {18,32}, {4,30}, {12,46}, {13,30}, {12,42}, {6,49}, {17,20}, {13,24}, {12,23}, {13,42}, {12,37}, {13,51}, {2,56}, {15,45}, {6,44}, {8,38}, {17,47}, {2,29}, {5,34}, {8,49}, {8,22}, {1,61}, {9,36}, {1,43}, {8,42}, {18,36}, {18,59}, {9,59}, {12,24}, {1,31}, {3,51}, {7,37}, {6,27}, {7,53}, {14,34}, {4,21}, {17,29}, {7,19}, {4,60}, {2,44}, {8,56}, {6,36}, {1,55}, {13,48}, {3,55}, {11,23}, {16,57}, {3,24}, {10,46}, {10,58}, {8,60}, {17,51}, {17,58}, {14,39}, {10,55}, {8,47}, {8,24}, {14,21}, {7,46}, {3,59}, {17,31}, {10,61}, {13,36}, {2,23}, {4,45}, {12,55}, {9,54}, {10,19}, {12,41}, {18,54}, {11,44}, {13,45}, {5,61}, {7,35}, {5,52}, {15,58}, {4,33}, {1,22}, {10,31}, {4,57}, {18,25}, {15,53}, {1,25}, {2,20}, {5,39}, {3,32}, {7,28}, {6,45}, {14,52}, {9,25}, {10,22}, {16,30}, {11,62}, {6,22}, {10,25}, {15,35}, {17,38}, {6,31}, {11,32}, {9,52}, {16,26}, {15,40}, {3,42}, {14,43}, {10,52}, {13,57}, {15,49}, {9,41}, {7,39}, {3,41}, {4,36}, {4,63}, {15,63}, {10,28}, {17,22}, {3,60}, {18,61}, {16,44}, {2,41}, {12,50}, {5,20}, {2,26}, {18,41}, {10,40}, {11,56}, {14,47}, {8,29}, {9,23}, {7,21}, {3,33}, {9,61}, {3,50}, {16,53}, {4,27}, {7,55}, {16,46}, {11,47}, {18,52}, {18,27}, {8,58}, {6,63}, {2,53}, {4,42}, {5,29}, {14,30}, {3,28}, {12,33}, {8,33}, {5,47}, {6,54}, {12,60}, {11,41}, {17,60}, {9,50}, {6,26}, {1,34}, {5,21}, {2,50}, {14,61}, {17,24}, {17,40}, {18,23}, {16,62}, {13,33}, {18,43}, {14,20}, {14,25}, {13,54}, {7,26}, {2,47}, {16,35}, {11,20}, {10,34}, {13,60}, {15,22}, {9,45}, {12,59}, {18,50}, {9,63}, {18,63}, {16,39}, {1,28}, {9,27}, {2,38}, {2,59}, {12,32}, {15,36}, {10,43}, {15,31}, {6,53}, {7,44}, {6,62}, {8,20}, {5,25}, {15,26}, {9,43}, {1,46}, {3,37}, {16,19}, {9,34}, {4,39}, {6,35}, {11,50}, {12,19}, {14,48}, {1,37}, {1,58}, {4,48}, {7,57}, {2,32}, {18,34}, {12,51}, {7,62}, {17,49}, {11,26}, {3,46}, {5,48}, {5,30}, {4,54}, {11,38}, {10,49}, {6,40} }; // ETB63.79 // Bipartite(18,45) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 557256278016000000000 EdgesBipt[63][79]:={ {15,33}, {18,45}, {7,48}, {15,38}, {15,59}, {14,36}, {5,38}, {5,56}, {16,51}, {4,28}, {3,58}, {11,59}, {12,22}, {1,49}, {1,40}, {3,61}, {5,57}, {10,33}, {14,31}, {16,55}, {1,19}, {11,53}, {8,23}, {14,45}, {6,48}, {16,37}, {15,56}, {16,28}, {7,30}, {15,41}, {2,61}, {4,37}, {13,43}, {16,21}, {13,40}, {17,35}, {3,49}, {11,35}, {10,42}, {11,27}, {2,34}, {2,25}, {16,42}, {16,48}, {15,32}, {2,52}, {8,46}, {8,37}, {9,57}, {12,20}, {8,52}, {16,60}, {12,38}, {12,26}, {17,62}, {6,39}, {7,33}, {12,31}, {3,52}, {12,40}, {17,26}, {13,47}, {1,24}, {13,20}, {2,56}, {7,56}, {6,44}, {18,39}, {4,23}, {13,58}, {18,57}, {2,29}, {10,51}, {12,49}, {9,39}, {4,62}, {18,36}, {8,19}, {11,63}, {10,59}, {3,43}, {9,46}, {1,42}, {7,60}, {1,31}, {3,31}, {13,49}, {6,27}, {5,53}, {5,35}, {3,63}, {15,50}, {3,36}, {13,61}, {14,54}, {14,60}, {4,32}, {8,50}, {12,56}, {12,47}, {6,36}, {1,55}, {4,53}, {11,36}, {11,23}, {16,57}, {10,36}, {14,33}, {9,55}, {13,25}, {17,58}, {4,41}, {8,41}, {17,31}, {2,23}, {1,51}, {15,23}, {18,54}, {9,19}, {11,44}, {8,59}, {3,25}, {17,55}, {17,28}, {15,60}, {2,43}, {6,30}, {1,22}, {18,25}, {17,46}, {13,22}, {13,56}, {2,20}, {13,31}, {17,19}, {5,39}, {9,30}, {14,27}, {6,45}, {17,44}, {13,29}, {8,34}, {9,25}, {4,50}, {16,30}, {11,62}, {12,29}, {11,32}, {15,24}, {9,52}, {11,54}, {3,22}, {13,38}, {10,54}, {14,40}, {7,39}, {4,59}, {14,63}, {8,32}, {7,24}, {6,57}, {17,22}, {18,61}, {4,44}, {2,41}, {5,20}, {1,60}, {18,21}, {9,21}, {7,29}, {18,30}, {7,21}, {14,58}, {4,55}, {10,50}, {9,61}, {14,51}, {9,28}, {3,34}, {16,46}, {15,29}, {4,46}, {18,52}, {8,43}, {12,62}, {11,45}, {1,33}, {18,27}, {3,54}, {6,63}, {3,45}, {12,44}, {5,26}, {7,47}, {5,29}, {12,53}, {10,41}, {5,47}, {12,58}, {6,54}, {10,63}, {15,47}, {14,49}, {7,51}, {14,24}, {13,34}, {11,41}, {6,26}, {15,42}, {5,21}, {2,50}, {7,42}, {17,40}, {4,35}, {18,43}, {15,51}, {10,60}, {2,47}, {8,55}, {10,24}, {14,42}, {10,27}, {16,33}, {17,53}, {3,40}, {8,61}, {10,45}, {6,21}, {4,26}, {15,20}, {18,63}, {17,37}, {16,39}, {1,28}, {16,24}, {3,27}, {7,20}, {7,38}, {2,38}, {2,59}, {6,53}, {5,62}, {8,28}, {6,62}, {5,44}, {10,23}, {9,43}, {1,46}, {4,19}, {14,22}, {16,19}, {9,34}, {10,32}, {12,35}, {6,35}, {11,50}, {13,52}, {1,37}, {1,58}, {8,25}, {7,57}, {2,32}, {18,34}, {17,49}, {18,48}, {11,26}, {9,48}, {5,48}, {5,30}, {9,37} }; // ETB63.80 // Bipartite(18,45) Valencies [15,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 169266594447360 EdgesBipt[63][80]:={ {13,21}, {15,33}, {10,37}, {16,47}, {8,57}, {11,49}, {6,25}, {5,22}, {5,56}, {5,43}, {11,59}, {1,49}, {17,42}, {15,54}, {10,33}, {3,19}, {11,57}, {16,55}, {1,19}, {3,23}, {8,23}, {3,21}, {14,45}, {6,48}, {5,32}, {1,35}, {2,61}, {2,46}, {13,43}, {14,29}, {10,48}, {15,62}, {14,44}, {2,33}, {3,49}, {11,29}, {11,27}, {1,20}, {15,32}, {16,49}, {5,41}, {17,39}, {6,60}, {12,38}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {3,52}, {12,40}, {2,48}, {12,23}, {5,37}, {13,20}, {16,25}, {9,35}, {1,29}, {16,34}, {13,51}, {2,56}, {13,58}, {8,38}, {13,26}, {6,24}, {18,46}, {2,36}, {13,41}, {16,40}, {1,61}, {18,29}, {9,36}, {1,43}, {9,39}, {8,42}, {9,20}, {4,62}, {18,26}, {3,38}, {11,63}, {18,59}, {5,28}, {18,56}, {9,46}, {7,32}, {1,31}, {12,27}, {3,51}, {17,57}, {11,42}, {3,36}, {11,60}, {14,54}, {14,60}, {7,19}, {4,32}, {14,28}, {12,56}, {3,30}, {9,51}, {2,51}, {15,37}, {10,46}, {11,33}, {18,22}, {17,58}, {14,39}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {17,54}, {18,38}, {17,31}, {10,61}, {13,36}, {12,55}, {1,59}, {9,54}, {10,19}, {12,41}, {11,44}, {13,45}, {4,47}, {8,59}, {17,55}, {11,34}, {17,28}, {5,52}, {2,27}, {12,30}, {6,30}, {4,33}, {7,34}, {10,31}, {9,31}, {7,58}, {15,52}, {17,46}, {13,56}, {13,50}, {8,53}, {18,44}, {7,28}, {6,45}, {14,52}, {17,61}, {10,22}, {5,40}, {4,50}, {12,45}, {10,25}, {15,24}, {12,25}, {10,52}, {14,43}, {3,22}, {14,37}, {1,44}, {18,31}, {7,49}, {15,39}, {4,29}, {4,63}, {4,59}, {8,32}, {15,63}, {9,24}, {17,25}, {3,60}, {6,20}, {18,61}, {4,44}, {2,41}, {2,26}, {3,53}, {18,41}, {10,40}, {9,21}, {8,29}, {9,23}, {7,21}, {14,58}, {8,27}, {9,61}, {11,30}, {3,34}, {2,21}, {16,53}, {14,59}, {16,20}, {18,52}, {2,31}, {16,38}, {11,45}, {5,58}, {6,63}, {3,45}, {5,26}, {7,47}, {16,50}, {12,53}, {14,30}, {11,19}, {5,47}, {2,57}, {6,54}, {10,63}, {15,47}, {7,51}, {15,48}, {14,24}, {12,60}, {9,50}, {1,34}, {13,35}, {7,42}, {17,24}, {17,40}, {8,44}, {16,23}, {18,23}, {4,35}, {16,62}, {15,51}, {18,53}, {15,21}, {1,50}, {16,35}, {5,55}, {10,34}, {13,60}, {17,27}, {8,54}, {15,22}, {4,26}, {12,57}, {13,28}, {1,28}, {15,36}, {2,63}, {8,62}, {6,55}, {5,62}, {7,43}, {4,20}, {5,25}, {9,53}, {1,46}, {3,37}, {14,22}, {8,39}, {16,19}, {7,36}, {6,35}, {17,43}, {6,50}, {1,58}, {2,42}, {16,32}, {4,48}, {7,57}, {6,33}, {7,62}, {18,37}, {4,56}, {10,49}, {6,40} }; // ETB63.81 // Bipartite(28,35) Valencies [15,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 40320 EdgesBipt[63][81]:={ {15,33}, {6,52}, {6,38}, {16,47}, {11,49}, {23,29}, {26,46}, {5,56}, {25,37}, {5,43}, {5,59}, {8,51}, {25,57}, {2,60}, {8,63}, {22,40}, {1,40}, {13,39}, {28,44}, {15,54}, {2,35}, {17,33}, {8,40}, {26,43}, {20,46}, {10,33}, {13,63}, {14,31}, {27,33}, {24,36}, {11,53}, {21,54}, {17,56}, {26,37}, {14,45}, {15,56}, {20,58}, {5,32}, {4,51}, {1,35}, {2,61}, {4,40}, {20,52}, {2,46}, {13,43}, {24,48}, {6,58}, {14,29}, {14,44}, {17,35}, {24,56}, {4,38}, {3,49}, {11,29}, {15,57}, {24,58}, {10,47}, {21,40}, {18,32}, {1,52}, {16,48}, {23,45}, {16,49}, {20,43}, {13,59}, {28,50}, {7,45}, {8,46}, {8,37}, {9,57}, {24,46}, {17,39}, {6,60}, {21,38}, {7,41}, {26,55}, {23,31}, {13,30}, {4,58}, {17,62}, {12,42}, {23,36}, {25,34}, {11,39}, {6,49}, {26,29}, {22,42}, {7,33}, {19,48}, {2,48}, {16,61}, {21,50}, {9,56}, {20,35}, {1,36}, {19,42}, {16,34}, {15,45}, {6,44}, {13,58}, {27,61}, {8,38}, {18,57}, {27,53}, {17,47}, {18,62}, {9,47}, {12,52}, {5,50}, {17,36}, {2,29}, {18,47}, {18,46}, {14,32}, {8,49}, {28,60}, {26,36}, {24,37}, {18,29}, {22,58}, {9,36}, {4,62}, {7,54}, {23,60}, {3,38}, {10,59}, {16,59}, {19,46}, {3,43}, {18,56}, {26,42}, {26,63}, {3,47}, {27,39}, {1,42}, {28,40}, {27,40}, {7,60}, {19,38}, {3,31}, {19,47}, {1,39}, {28,53}, {2,30}, {11,42}, {9,58}, {14,34}, {15,50}, {3,36}, {8,48}, {11,60}, {26,41}, {27,57}, {4,32}, {25,44}, {22,49}, {21,61}, {4,53}, {9,51}, {27,52}, {1,47}, {22,48}, {16,57}, {9,55}, {17,51}, {17,58}, {14,39}, {21,31}, {25,59}, {11,48}, {19,30}, {10,55}, {4,41}, {8,41}, {27,37}, {18,38}, {28,48}, {7,46}, {3,59}, {11,58}, {10,61}, {17,31}, {3,29}, {13,36}, {3,62}, {13,53}, {21,57}, {22,29}, {28,49}, {9,54}, {12,41}, {18,54}, {20,54}, {26,54}, {11,44}, {13,45}, {4,47}, {24,39}, {5,61}, {24,59}, {19,45}, {25,30}, {15,58}, {22,30}, {6,30}, {7,34}, {10,31}, {25,41}, {10,29}, {15,53}, {23,51}, {22,50}, {13,50}, {23,35}, {13,31}, {9,30}, {5,39}, {20,62}, {24,38}, {19,55}, {16,41}, {6,45}, {20,44}, {25,31}, {19,41}, {14,52}, {17,30}, {10,30}, {4,50}, {28,37}, {16,30}, {12,45}, {26,47}, {4,34}, {12,29}, {1,57}, {28,45}, {6,31}, {11,32}, {27,51}, {21,32}, {7,61}, {11,54}, {15,40}, {10,52}, {27,35}, {14,37}, {13,38}, {15,49}, {24,63}, {19,53}, {27,58}, {7,49}, {1,48}, {16,45}, {20,59}, {7,39}, {3,41}, {15,39}, {22,41}, {1,32}, {9,44}, {4,63}, {22,52}, {14,63}, {24,29}, {21,39}, {20,60}, {28,32}, {6,43}, {6,57}, {26,53}, {18,61}, {16,44}, {4,44}, {2,54}, {21,49}, {12,50}, {17,41}, {3,53}, {25,42}, {10,40}, {19,61}, {5,63}, {14,55}, {23,37}, {26,30}, {7,29}, {19,62}, {11,56}, {23,57}, {21,46}, {25,43}, {3,33}, {16,36}, {1,45}, {9,61}, {23,32}, {28,62}, {14,51}, {19,39}, {7,55}, {27,47}, {14,59}, {18,52}, {19,60}, {8,43}, {3,56}, {12,61}, {2,31}, {16,38}, {12,62}, {6,63}, {2,53}, {2,37}, {16,50}, {12,53}, {27,55}, {21,34}, {12,33}, {8,33}, {13,62}, {23,62}, {17,34}, {3,57}, {15,55}, {7,51}, {22,33}, {11,31}, {20,33}, {28,55}, {19,35}, {5,51}, {13,34}, {24,52}, {11,41}, {17,60}, {9,50}, {15,42}, {1,34}, {21,43}, {2,50}, {23,49}, {28,56}, {24,61}, {24,44}, {9,60}, {8,44}, {6,42}, {21,48}, {21,51}, {18,43}, {23,46}, {1,56}, {20,34}, {20,45}, {10,60}, {8,55}, {5,55}, {14,42}, {10,34}, {8,35}, {2,40}, {12,59}, {12,57}, {9,63}, {18,63}, {26,34}, {20,56}, {16,52}, {22,63}, {5,42}, {2,59}, {23,50}, {15,36}, {25,35}, {22,35}, {10,43}, {8,62}, {6,55}, {5,62}, {28,59}, {7,44}, {26,40}, {18,60}, {20,40}, {12,54}, {25,54}, {4,52}, {22,36}, {14,53}, {1,46}, {27,31}, {3,37}, {22,32}, {24,33}, {15,43}, {13,46}, {10,32}, {25,48}, {12,35}, {7,36}, {6,35}, {17,32}, {1,37}, {18,42}, {23,63}, {12,51}, {25,56}, {5,48}, {5,33}, {2,58}, {28,47}, {5,30}, {4,54}, {11,38}, {10,49}, {9,37}, {25,51}, {27,38} }; // ETB63.82 // Bipartite(28,35) Valencies [15,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 276093826616587714560000000 EdgesBipt[63][82]:={ {24,34}, {6,52}, {7,48}, {6,38}, {11,40}, {16,47}, {8,57}, {11,49}, {6,59}, {16,51}, {5,43}, {25,47}, {27,59}, {8,51}, {19,57}, {25,40}, {28,44}, {15,44}, {10,62}, {16,58}, {5,57}, {26,43}, {21,30}, {13,63}, {24,32}, {21,41}, {11,53}, {14,56}, {10,39}, {16,37}, {3,39}, {7,30}, {26,61}, {2,61}, {4,40}, {20,52}, {13,43}, {6,56}, {24,48}, {10,48}, {23,44}, {27,56}, {14,44}, {2,33}, {11,35}, {15,57}, {6,29}, {27,36}, {19,40}, {20,38}, {22,37}, {12,48}, {18,32}, {15,32}, {2,52}, {23,45}, {8,30}, {23,38}, {9,33}, {28,63}, {20,43}, {13,59}, {8,46}, {8,37}, {24,46}, {5,41}, {17,39}, {7,41}, {20,49}, {26,55}, {23,31}, {17,59}, {23,54}, {17,62}, {14,62}, {23,61}, {11,39}, {6,49}, {26,29}, {3,52}, {12,40}, {19,48}, {20,29}, {27,50}, {15,30}, {16,61}, {18,35}, {24,31}, {24,45}, {13,42}, {20,35}, {28,30}, {1,36}, {1,29}, {23,58}, {7,56}, {18,39}, {9,47}, {4,49}, {5,50}, {5,34}, {18,47}, {18,46}, {20,36}, {16,40}, {20,42}, {26,36}, {22,58}, {1,43}, {5,54}, {18,33}, {22,43}, {3,38}, {11,63}, {4,61}, {10,59}, {16,59}, {18,56}, {21,55}, {24,41}, {21,63}, {27,45}, {9,59}, {20,63}, {14,35}, {21,62}, {3,31}, {19,47}, {25,33}, {1,39}, {13,49}, {7,37}, {2,30}, {11,42}, {9,58}, {14,34}, {28,42}, {15,50}, {11,60}, {26,41}, {27,57}, {4,32}, {4,60}, {2,44}, {1,30}, {8,50}, {12,47}, {6,36}, {23,40}, {24,53}, {4,53}, {3,55}, {9,51}, {27,52}, {2,51}, {15,37}, {10,38}, {10,46}, {25,63}, {11,33}, {8,60}, {10,55}, {9,38}, {24,55}, {21,37}, {28,48}, {3,59}, {28,34}, {17,31}, {13,36}, {3,62}, {12,55}, {1,51}, {22,29}, {28,49}, {25,32}, {9,54}, {12,41}, {18,54}, {26,54}, {4,47}, {13,45}, {20,31}, {24,39}, {5,61}, {25,49}, {27,63}, {17,55}, {24,59}, {21,42}, {7,35}, {15,60}, {11,46}, {15,58}, {22,30}, {4,33}, {22,44}, {7,34}, {10,31}, {9,31}, {7,58}, {17,46}, {25,61}, {15,53}, {23,51}, {13,56}, {25,46}, {22,50}, {13,50}, {11,61}, {13,31}, {9,30}, {24,38}, {8,53}, {19,55}, {3,32}, {26,62}, {6,45}, {19,41}, {13,29}, {15,46}, {5,40}, {21,58}, {23,47}, {28,37}, {16,30}, {26,47}, {17,38}, {12,29}, {25,53}, {1,57}, {6,31}, {11,32}, {17,52}, {22,53}, {9,52}, {11,54}, {10,52}, {19,50}, {22,57}, {27,35}, {13,57}, {14,37}, {1,44}, {13,38}, {7,49}, {16,31}, {16,45}, {20,59}, {23,59}, {3,41}, {15,39}, {1,32}, {9,44}, {4,63}, {14,63}, {19,29}, {6,43}, {8,32}, {22,39}, {6,57}, {26,48}, {19,34}, {3,60}, {18,61}, {16,44}, {2,54}, {21,49}, {24,60}, {12,50}, {17,41}, {12,43}, {3,53}, {25,42}, {19,61}, {14,55}, {1,60}, {23,37}, {19,62}, {11,56}, {8,29}, {8,36}, {14,58}, {2,45}, {23,52}, {3,48}, {9,61}, {20,50}, {28,62}, {14,51}, {27,49}, {19,33}, {3,34}, {19,43}, {7,55}, {20,57}, {15,29}, {11,47}, {4,46}, {8,43}, {25,39}, {2,31}, {12,61}, {16,38}, {12,62}, {8,58}, {12,36}, {6,63}, {3,45}, {2,37}, {4,42}, {5,29}, {10,41}, {14,30}, {21,34}, {12,33}, {5,47}, {17,34}, {21,35}, {18,49}, {27,29}, {7,51}, {14,49}, {21,44}, {1,53}, {28,55}, {26,50}, {24,52}, {17,60}, {22,51}, {13,35}, {7,42}, {28,56}, {10,53}, {12,34}, {8,44}, {19,36}, {26,57}, {28,35}, {23,30}, {6,42}, {4,35}, {21,48}, {21,51}, {15,51}, {18,53}, {20,45}, {1,50}, {10,60}, {23,33}, {2,47}, {5,55}, {14,42}, {10,34}, {16,33}, {17,53}, {10,45}, {2,40}, {21,56}, {17,45}, {9,45}, {14,41}, {12,57}, {16,54}, {18,63}, {22,46}, {26,34}, {20,56}, {16,52}, {7,63}, {2,38}, {2,59}, {15,36}, {24,62}, {25,35}, {5,62}, {7,44}, {27,42}, {18,40}, {9,40}, {26,40}, {27,43}, {18,60}, {12,54}, {25,54}, {22,36}, {26,33}, {1,46}, {27,31}, {8,39}, {22,32}, {28,58}, {5,36}, {15,43}, {10,32}, {25,60}, {4,39}, {6,35}, {17,32}, {28,51}, {22,60}, {28,41}, {13,52}, {6,50}, {14,48}, {1,37}, {1,58}, {18,42}, {7,62}, {25,56}, {3,46}, {19,54}, {17,48}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {9,37}, {27,38} }; // ETB63.83 // Bipartite(28,35) Valencies [15,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 246568703754240000000 EdgesBipt[63][83]:={ {18,45}, {11,40}, {16,47}, {27,48}, {14,36}, {26,46}, {16,51}, {5,43}, {25,47}, {8,51}, {19,57}, {25,57}, {22,40}, {25,40}, {13,37}, {14,38}, {15,44}, {3,61}, {11,43}, {14,50}, {17,33}, {4,31}, {8,40}, {16,58}, {5,57}, {26,43}, {20,46}, {10,33}, {13,63}, {11,57}, {14,31}, {24,54}, {24,36}, {14,56}, {21,54}, {14,45}, {6,48}, {16,37}, {19,37}, {28,52}, {2,61}, {6,56}, {14,57}, {14,29}, {23,44}, {27,56}, {2,33}, {6,32}, {24,56}, {4,38}, {21,53}, {11,29}, {10,56}, {15,57}, {10,42}, {10,47}, {22,37}, {26,38}, {21,40}, {18,32}, {15,32}, {2,52}, {23,45}, {8,30}, {23,38}, {12,46}, {28,63}, {28,50}, {8,46}, {28,31}, {8,37}, {26,39}, {5,41}, {6,60}, {12,38}, {20,49}, {23,31}, {13,30}, {17,59}, {17,62}, {6,39}, {25,34}, {6,49}, {26,29}, {7,33}, {12,31}, {3,52}, {19,48}, {15,30}, {16,61}, {20,39}, {5,37}, {27,41}, {24,50}, {24,47}, {13,55}, {9,56}, {13,42}, {20,35}, {9,35}, {1,36}, {1,29}, {23,42}, {13,51}, {6,46}, {23,58}, {7,56}, {10,35}, {18,39}, {26,52}, {13,58}, {28,43}, {20,55}, {17,47}, {18,62}, {5,50}, {12,52}, {5,34}, {18,46}, {13,41}, {16,40}, {20,42}, {26,36}, {27,30}, {22,58}, {6,34}, {1,43}, {4,62}, {7,54}, {3,38}, {16,59}, {18,59}, {20,41}, {21,63}, {9,59}, {20,63}, {24,40}, {14,35}, {3,47}, {7,32}, {7,60}, {3,31}, {25,33}, {18,55}, {1,39}, {13,49}, {7,53}, {2,30}, {9,58}, {28,42}, {15,50}, {25,29}, {4,32}, {4,60}, {2,44}, {1,30}, {21,61}, {4,53}, {11,36}, {13,48}, {3,55}, {9,51}, {10,57}, {21,47}, {10,36}, {2,51}, {15,37}, {11,33}, {8,60}, {11,48}, {19,30}, {8,47}, {4,41}, {9,38}, {27,37}, {18,38}, {17,54}, {7,46}, {3,59}, {17,31}, {10,61}, {3,62}, {4,45}, {1,51}, {28,49}, {27,63}, {17,55}, {11,34}, {21,42}, {7,35}, {15,60}, {15,58}, {22,30}, {27,34}, {22,44}, {9,31}, {25,41}, {10,29}, {25,61}, {15,53}, {23,51}, {13,56}, {23,56}, {11,61}, {23,35}, {9,30}, {20,62}, {8,53}, {19,55}, {19,41}, {17,61}, {14,52}, {15,46}, {16,30}, {11,62}, {21,60}, {12,45}, {4,34}, {17,38}, {12,29}, {1,57}, {26,31}, {28,45}, {17,52}, {22,53}, {9,52}, {27,51}, {21,32}, {7,61}, {11,54}, {14,43}, {19,50}, {27,35}, {1,44}, {24,35}, {24,63}, {10,54}, {26,59}, {27,58}, {18,31}, {19,44}, {7,49}, {24,43}, {16,31}, {16,45}, {23,59}, {7,39}, {3,41}, {15,39}, {1,32}, {9,44}, {25,50}, {4,59}, {14,63}, {24,29}, {21,39}, {20,60}, {19,29}, {8,32}, {22,39}, {20,48}, {26,53}, {19,34}, {16,44}, {2,54}, {21,49}, {7,40}, {12,50}, {17,41}, {12,43}, {20,32}, {18,41}, {10,40}, {1,60}, {23,37}, {19,62}, {13,44}, {24,49}, {2,45}, {21,46}, {23,52}, {4,55}, {3,48}, {25,43}, {3,33}, {28,29}, {10,50}, {27,49}, {3,34}, {19,43}, {15,29}, {11,47}, {14,59}, {26,60}, {4,46}, {18,52}, {25,36}, {2,31}, {16,38}, {21,33}, {5,58}, {3,54}, {20,53}, {8,58}, {12,36}, {6,63}, {3,45}, {7,47}, {24,57}, {2,37}, {5,29}, {12,53}, {27,55}, {8,33}, {13,62}, {12,39}, {17,34}, {10,63}, {21,35}, {28,36}, {14,49}, {22,33}, {1,53}, {12,60}, {26,50}, {5,51}, {13,34}, {11,41}, {26,32}, {22,51}, {13,35}, {7,42}, {6,41}, {23,49}, {28,56}, {24,61}, {17,40}, {8,44}, {19,36}, {26,57}, {28,35}, {23,30}, {19,58}, {6,42}, {27,44}, {15,51}, {18,53}, {28,57}, {20,34}, {1,50}, {2,47}, {5,55}, {14,42}, {16,33}, {3,40}, {8,61}, {2,40}, {8,54}, {21,56}, {17,45}, {9,45}, {12,59}, {12,57}, {16,54}, {9,63}, {22,46}, {20,56}, {16,52}, {28,38}, {7,63}, {2,38}, {2,59}, {12,32}, {15,36}, {27,62}, {10,43}, {6,55}, {5,62}, {6,53}, {28,59}, {27,42}, {9,49}, {11,55}, {6,62}, {19,51}, {24,42}, {18,60}, {5,44}, {22,54}, {25,54}, {4,52}, {22,47}, {1,46}, {8,39}, {22,32}, {9,42}, {25,55}, {5,36}, {24,33}, {15,43}, {4,39}, {25,48}, {25,62}, {6,35}, {11,50}, {22,60}, {1,37}, {1,58}, {4,48}, {22,61}, {23,63}, {26,45}, {18,34}, {18,48}, {17,48}, {5,48}, {2,58}, {5,30}, {10,49}, {9,37} }; // ETB63.84 // Bipartite(28,35) Valencies [15,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 60197437440000000 EdgesBipt[63][84]:={ {15,33}, {6,52}, {7,48}, {6,38}, {11,40}, {27,48}, {14,36}, {6,59}, {11,49}, {9,32}, {26,46}, {16,51}, {25,37}, {5,43}, {3,58}, {25,47}, {27,59}, {8,51}, {19,57}, {25,57}, {2,60}, {12,63}, {25,40}, {14,38}, {17,42}, {26,49}, {15,44}, {11,43}, {15,54}, {10,62}, {14,50}, {4,31}, {8,40}, {16,58}, {5,57}, {10,33}, {13,63}, {11,57}, {14,31}, {28,61}, {24,36}, {21,54}, {17,56}, {26,37}, {14,45}, {16,37}, {3,39}, {15,56}, {5,32}, {2,61}, {4,40}, {20,52}, {2,46}, {6,56}, {14,57}, {14,29}, {10,48}, {23,44}, {2,33}, {17,35}, {4,38}, {21,53}, {11,35}, {11,29}, {10,56}, {10,42}, {24,58}, {10,47}, {20,38}, {22,37}, {21,40}, {1,52}, {23,45}, {8,30}, {23,38}, {12,46}, {20,43}, {13,59}, {8,37}, {9,57}, {26,39}, {16,60}, {21,38}, {12,38}, {7,41}, {23,31}, {17,62}, {12,42}, {6,49}, {22,42}, {12,31}, {20,29}, {5,60}, {24,30}, {15,30}, {18,58}, {27,41}, {24,50}, {26,35}, {13,55}, {24,31}, {24,45}, {13,42}, {1,36}, {1,29}, {19,42}, {23,42}, {23,58}, {7,56}, {10,35}, {9,62}, {18,57}, {20,55}, {18,62}, {5,50}, {12,52}, {17,36}, {1,38}, {13,41}, {20,36}, {28,60}, {24,37}, {27,30}, {18,29}, {22,58}, {9,36}, {1,43}, {9,29}, {9,39}, {12,49}, {4,62}, {18,36}, {5,54}, {22,43}, {4,61}, {11,63}, {16,59}, {19,46}, {20,41}, {27,45}, {2,39}, {9,46}, {26,42}, {26,63}, {28,40}, {7,32}, {7,60}, {19,56}, {1,31}, {25,33}, {3,51}, {18,55}, {1,39}, {13,49}, {28,53}, {17,57}, {5,53}, {11,42}, {2,30}, {7,53}, {19,49}, {25,29}, {17,29}, {8,48}, {14,54}, {25,44}, {22,49}, {2,44}, {21,45}, {21,61}, {12,56}, {18,51}, {11,36}, {3,30}, {3,55}, {13,48}, {27,52}, {21,47}, {26,51}, {14,33}, {2,51}, {15,37}, {11,33}, {22,56}, {9,55}, {21,31}, {10,55}, {8,47}, {4,41}, {8,41}, {27,37}, {28,48}, {7,46}, {28,34}, {10,61}, {3,62}, {4,45}, {26,44}, {1,59}, {22,29}, {3,44}, {13,45}, {4,47}, {20,31}, {5,61}, {17,55}, {24,59}, {7,35}, {25,30}, {15,58}, {22,30}, {27,34}, {4,33}, {22,44}, {7,34}, {25,61}, {23,51}, {13,56}, {22,50}, {23,56}, {11,61}, {23,35}, {13,31}, {5,39}, {20,62}, {24,38}, {3,32}, {18,44}, {6,45}, {8,34}, {14,52}, {5,40}, {16,30}, {21,60}, {12,45}, {15,61}, {4,34}, {15,35}, {1,57}, {6,31}, {27,51}, {21,32}, {11,54}, {15,40}, {14,43}, {19,50}, {22,57}, {13,38}, {15,49}, {10,54}, {21,59}, {19,53}, {27,58}, {14,40}, {7,49}, {24,43}, {9,41}, {16,31}, {16,45}, {20,59}, {23,59}, {7,39}, {3,41}, {1,32}, {25,50}, {4,59}, {24,29}, {21,39}, {19,29}, {28,32}, {17,63}, {24,51}, {15,63}, {20,48}, {26,53}, {3,60}, {16,44}, {2,54}, {17,41}, {3,53}, {17,50}, {18,41}, {10,40}, {1,60}, {23,37}, {26,30}, {11,56}, {14,47}, {18,30}, {21,52}, {28,39}, {21,46}, {23,52}, {5,46}, {4,55}, {6,47}, {3,48}, {25,43}, {1,45}, {20,50}, {28,62}, {19,39}, {3,34}, {16,53}, {19,43}, {7,55}, {20,57}, {16,46}, {11,47}, {14,59}, {26,60}, {19,60}, {25,36}, {16,38}, {21,33}, {8,58}, {6,63}, {2,53}, {24,57}, {2,37}, {5,29}, {12,53}, {27,55}, {10,41}, {8,33}, {13,62}, {12,39}, {5,47}, {28,54}, {17,34}, {10,63}, {6,54}, {28,33}, {15,47}, {1,53}, {28,55}, {12,60}, {19,35}, {13,34}, {24,52}, {9,50}, {26,32}, {15,42}, {22,51}, {13,35}, {7,42}, {23,49}, {14,61}, {24,44}, {9,60}, {8,44}, {19,36}, {23,30}, {6,42}, {27,44}, {19,32}, {18,43}, {15,51}, {20,34}, {20,45}, {1,50}, {2,47}, {8,55}, {10,34}, {8,61}, {2,40}, {8,54}, {18,50}, {12,59}, {16,39}, {16,52}, {22,63}, {7,63}, {19,63}, {12,32}, {22,35}, {27,62}, {8,62}, {25,54}, {9,53}, {4,52}, {22,36}, {9,43}, {1,46}, {27,31}, {3,37}, {5,36}, {9,34}, {12,35}, {6,35}, {11,50}, {28,41}, {13,52}, {17,43}, {25,58}, {26,58}, {26,56}, {6,61}, {16,32}, {4,48}, {23,63}, {2,32}, {6,33}, {18,34}, {18,48}, {7,62}, {17,49}, {3,46}, {9,48}, {17,48}, {18,37}, {2,58}, {5,33}, {28,47}, {4,54}, {10,49}, {28,46}, {25,51}, {27,38}, {6,40} }; // ETB63.85 // Bipartite(28,35) Valencies [15,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23115815976960 EdgesBipt[63][85]:={ {7,48}, {11,40}, {16,47}, {15,38}, {15,59}, {5,56}, {5,59}, {23,53}, {25,47}, {8,51}, {25,57}, {12,63}, {22,40}, {1,49}, {25,40}, {1,40}, {14,38}, {13,39}, {28,44}, {15,44}, {3,61}, {11,43}, {2,35}, {17,33}, {4,31}, {8,40}, {16,58}, {20,46}, {10,33}, {13,63}, {11,57}, {14,31}, {24,54}, {24,36}, {2,49}, {17,56}, {26,37}, {14,45}, {19,37}, {15,56}, {5,32}, {4,51}, {15,41}, {26,61}, {2,61}, {4,40}, {14,57}, {14,29}, {23,44}, {13,40}, {14,44}, {6,32}, {24,56}, {11,29}, {10,56}, {27,36}, {22,37}, {4,43}, {16,42}, {1,52}, {15,32}, {2,52}, {23,45}, {16,49}, {28,63}, {7,45}, {28,31}, {8,37}, {9,57}, {24,46}, {8,52}, {21,38}, {20,49}, {13,30}, {23,54}, {4,58}, {12,42}, {6,39}, {23,61}, {6,49}, {26,29}, {7,33}, {27,50}, {13,47}, {5,60}, {24,30}, {18,58}, {16,61}, {20,39}, {5,37}, {27,32}, {27,41}, {24,50}, {26,35}, {24,45}, {20,35}, {9,35}, {19,42}, {23,42}, {12,37}, {6,46}, {23,58}, {8,38}, {18,57}, {18,62}, {9,47}, {17,36}, {18,47}, {1,38}, {13,41}, {8,49}, {20,36}, {25,52}, {22,34}, {27,30}, {18,29}, {6,34}, {1,43}, {11,51}, {9,39}, {4,62}, {18,36}, {22,43}, {3,38}, {16,59}, {3,43}, {21,55}, {24,41}, {14,46}, {20,41}, {21,63}, {2,39}, {9,59}, {20,63}, {26,42}, {26,63}, {27,39}, {22,59}, {27,40}, {19,56}, {18,55}, {13,49}, {7,37}, {9,58}, {5,35}, {14,34}, {28,42}, {3,36}, {25,29}, {8,48}, {11,60}, {4,60}, {22,49}, {2,44}, {21,45}, {8,56}, {12,56}, {6,36}, {23,39}, {18,51}, {24,53}, {11,36}, {3,30}, {3,55}, {22,48}, {26,51}, {16,57}, {10,36}, {14,33}, {15,37}, {10,38}, {15,34}, {10,46}, {22,56}, {14,39}, {21,31}, {19,30}, {11,48}, {10,55}, {8,41}, {24,55}, {17,54}, {21,37}, {28,48}, {7,46}, {28,34}, {11,58}, {10,61}, {11,52}, {13,36}, {1,41}, {1,51}, {1,59}, {21,57}, {9,54}, {18,54}, {4,47}, {20,31}, {5,61}, {8,59}, {27,63}, {17,55}, {21,42}, {27,34}, {12,30}, {6,30}, {22,44}, {7,34}, {4,57}, {15,52}, {17,46}, {15,53}, {13,50}, {23,35}, {20,30}, {13,31}, {20,62}, {24,38}, {8,53}, {26,62}, {25,31}, {17,61}, {8,34}, {17,30}, {10,30}, {20,47}, {23,47}, {28,37}, {11,62}, {17,38}, {12,29}, {28,45}, {6,31}, {22,53}, {9,52}, {11,54}, {15,40}, {27,35}, {14,37}, {1,44}, {15,49}, {10,54}, {26,59}, {18,31}, {1,48}, {24,43}, {16,45}, {23,59}, {7,39}, {3,41}, {4,36}, {22,41}, {4,29}, {9,44}, {1,32}, {22,52}, {14,63}, {21,39}, {19,29}, {8,32}, {3,60}, {16,44}, {2,54}, {24,60}, {17,41}, {20,32}, {3,53}, {17,50}, {19,61}, {5,63}, {14,55}, {27,46}, {26,30}, {7,29}, {19,62}, {23,57}, {22,38}, {28,39}, {2,45}, {21,46}, {23,52}, {4,55}, {6,47}, {25,43}, {3,33}, {28,29}, {13,32}, {10,50}, {9,61}, {20,50}, {27,49}, {19,59}, {3,50}, {19,33}, {16,53}, {7,55}, {11,47}, {27,47}, {26,60}, {18,52}, {19,60}, {25,36}, {8,43}, {3,56}, {12,61}, {12,62}, {21,33}, {5,58}, {3,54}, {6,63}, {3,45}, {2,53}, {5,29}, {16,50}, {10,41}, {21,34}, {7,31}, {12,33}, {13,62}, {12,58}, {2,57}, {28,33}, {11,31}, {21,44}, {15,48}, {1,53}, {28,55}, {19,35}, {12,60}, {5,51}, {13,34}, {17,60}, {9,50}, {26,32}, {1,34}, {22,51}, {13,35}, {7,42}, {2,50}, {6,41}, {23,49}, {10,53}, {21,29}, {24,61}, {8,44}, {19,58}, {21,48}, {19,32}, {18,43}, {15,51}, {28,57}, {1,56}, {20,34}, {10,60}, {2,47}, {16,35}, {14,42}, {17,53}, {10,45}, {17,45}, {9,45}, {12,59}, {16,54}, {16,39}, {16,52}, {28,38}, {7,38}, {5,42}, {7,63}, {2,59}, {19,63}, {23,50}, {12,32}, {27,62}, {10,43}, {5,62}, {7,44}, {9,49}, {18,40}, {11,55}, {6,62}, {19,51}, {18,60}, {20,40}, {25,54}, {9,53}, {4,52}, {26,33}, {27,31}, {22,32}, {9,42}, {25,55}, {24,33}, {15,43}, {13,46}, {25,60}, {25,48}, {25,62}, {12,35}, {6,35}, {17,43}, {25,58}, {6,50}, {26,58}, {14,48}, {1,37}, {26,56}, {2,42}, {4,48}, {7,57}, {18,48}, {12,51}, {3,46}, {5,33}, {2,58}, {5,30}, {4,54}, {28,46}, {25,51}, {6,40} }; // ETB63.86 // Bipartite(7,56) Valencies [16,2] // Diameter 7 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2425334808035247959593451520000000 EdgesBipt[63][86]:={ {1,15}, {4,35}, {7,19}, {5,32}, {6,39}, {6,48}, {3,15}, {1,43}, {4,42}, {6,18}, {4,14}, {3,29}, {3,38}, {5,30}, {7,59}, {7,40}, {6,41}, {7,24}, {4,40}, {7,38}, {4,49}, {6,13}, {7,33}, {2,37}, {7,54}, {6,32}, {6,25}, {7,31}, {7,45}, {5,58}, {4,63}, {3,50}, {6,62}, {3,45}, {3,10}, {2,28}, {3,31}, {6,34}, {4,26}, {5,9}, {5,37}, {4,12}, {1,29}, {6,53}, {1,34}, {7,10}, {2,14}, {5,23}, {6,11}, {2,23}, {7,26}, {2,56}, {1,36}, {6,46}, {2,16}, {1,22}, {4,33}, {4,28}, {1,50}, {5,51}, {7,47}, {3,22}, {1,55}, {7,61}, {2,42}, {6,55}, {4,21}, {2,35}, {7,52}, {2,9}, {2,44}, {2,58}, {6,60}, {5,60}, {3,52}, {3,57}, {5,46}, {2,21}, {5,53}, {1,62}, {3,59}, {3,24}, {2,49}, {4,56}, {2,51}, {6,20}, {1,41}, {1,20}, {4,54}, {1,27}, {5,11}, {1,13}, {3,8}, {2,63}, {3,36}, {3,17}, {5,18}, {3,43}, {6,27}, {4,47}, {5,44}, {4,61}, {7,17}, {1,57}, {1,8}, {5,16}, {5,39}, {7,12}, {2,30}, {1,48}, {5,25}, {4,19} }; // ETB63.87 // Bipartite(15,48) Valencies [16,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3093539295963326479073280000000 EdgesBipt[63][87]:={ {2,24}, {11,20}, {13,32}, {14,56}, {12,29}, {11,56}, {4,24}, {9,60}, {5,63}, {12,51}, {12,45}, {4,30}, {7,48}, {2,23}, {8,43}, {8,28}, {3,43}, {3,25}, {1,40}, {7,54}, {9,44}, {4,19}, {14,38}, {7,22}, {12,39}, {4,31}, {8,52}, {12,41}, {15,44}, {10,33}, {3,35}, {11,58}, {3,37}, {7,34}, {12,35}, {7,36}, {14,50}, {8,25}, {2,41}, {3,61}, {15,63}, {8,31}, {2,54}, {11,50}, {2,42}, {10,22}, {13,55}, {11,28}, {7,58}, {3,17}, {8,16}, {13,56}, {15,45}, {6,21}, {14,23}, {15,56}, {11,38}, {13,61}, {6,31}, {4,60}, {1,17}, {9,48}, {2,36}, {8,19}, {3,49}, {9,32}, {12,17}, {15,32}, {9,26}, {9,62}, {15,62}, {10,52}, {7,46}, {4,42}, {15,26}, {11,22}, {2,53}, {10,28}, {2,35}, {11,44}, {1,22}, {15,27}, {2,59}, {6,55}, {6,63}, {6,43}, {9,54}, {1,59}, {6,49}, {10,21}, {9,42}, {13,49}, {14,53}, {2,48}, {10,40}, {9,50}, {1,29}, {7,30}, {13,31}, {7,16}, {6,33}, {15,50}, {5,18}, {1,23}, {13,43}, {13,44}, {5,30}, {13,50}, {14,47}, {9,56}, {5,24}, {12,47}, {4,48}, {8,22}, {1,58}, {5,48}, {13,25}, {15,20}, {4,55}, {9,20}, {1,28}, {6,61}, {14,41}, {4,54}, {10,46}, {4,43}, {10,45}, {3,29}, {8,37}, {10,51}, {5,42}, {1,52}, {12,33}, {10,58}, {2,17}, {4,36}, {12,57}, {14,59}, {12,59}, {6,51}, {12,27}, {5,54}, {11,52}, {14,17}, {3,19}, {12,23}, {8,58}, {6,27}, {8,40}, {12,53}, {3,23}, {5,36}, {6,19}, {1,46}, {11,46}, {5,51}, {1,53}, {7,60}, {13,62}, {9,30}, {10,39}, {1,35}, {14,20}, {15,21}, {5,39}, {10,63}, {7,28}, {4,37}, {5,60}, {11,26}, {13,26}, {3,53}, {11,16}, {13,19}, {8,34}, {5,33}, {9,18}, {2,29}, {10,27}, {6,45}, {14,44}, {1,16}, {10,34}, {15,51}, {11,32}, {14,32}, {15,33}, {2,47}, {6,25}, {1,47}, {4,49}, {11,40}, {9,36}, {3,55}, {5,27}, {15,38}, {8,55}, {8,49}, {4,18}, {10,57}, {13,38}, {9,38}, {4,25}, {15,57}, {11,62}, {8,46}, {14,35}, {1,41}, {13,37}, {8,61}, {5,45}, {3,41}, {7,24}, {3,31}, {15,39}, {9,24}, {6,39}, {6,37}, {3,47}, {11,34}, {5,21}, {2,30}, {4,61}, {3,59}, {13,20}, {2,18}, {1,34}, {2,60}, {7,52}, {12,63}, {7,40}, {7,42}, {5,57}, {6,57}, {12,21}, {14,29}, {14,62}, {14,26}, {7,18}, {10,16} }; // ETB63.88 // Bipartite(15,48) Valencies [16,5] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4382441692326789120 EdgesBipt[63][88]:={ {6,48}, {9,58}, {2,24}, {10,25}, {11,36}, {14,19}, {4,26}, {3,22}, {11,61}, {4,16}, {12,45}, {10,37}, {4,50}, {11,25}, {14,51}, {6,17}, {14,39}, {2,23}, {8,43}, {12,22}, {1,57}, {8,33}, {3,25}, {7,41}, {1,40}, {7,54}, {5,56}, {9,44}, {14,38}, {2,19}, {15,44}, {4,62}, {12,42}, {3,58}, {13,53}, {5,47}, {11,58}, {5,20}, {3,37}, {14,31}, {1,21}, {12,35}, {15,54}, {14,50}, {10,44}, {12,58}, {2,28}, {12,34}, {5,32}, {3,61}, {9,35}, {15,63}, {8,44}, {8,31}, {13,29}, {13,63}, {14,54}, {6,29}, {3,17}, {15,45}, {4,38}, {3,34}, {15,56}, {3,46}, {6,31}, {1,17}, {2,36}, {9,47}, {8,19}, {3,49}, {9,32}, {15,32}, {9,27}, {12,46}, {11,49}, {2,52}, {10,52}, {8,45}, {11,51}, {14,30}, {5,25}, {4,45}, {11,22}, {10,28}, {2,35}, {9,63}, {1,22}, {15,27}, {2,59}, {6,55}, {6,30}, {6,43}, {4,33}, {5,23}, {4,21}, {6,60}, {10,31}, {9,34}, {15,42}, {6,18}, {2,48}, {4,52}, {10,40}, {1,29}, {7,30}, {5,61}, {2,16}, {7,53}, {7,16}, {4,57}, {6,24}, {14,55}, {13,50}, {7,17}, {9,56}, {5,24}, {12,47}, {5,49}, {11,60}, {1,45}, {14,42}, {1,58}, {5,48}, {8,56}, {15,20}, {9,20}, {1,28}, {3,50}, {9,51}, {4,28}, {1,33}, {3,29}, {3,26}, {13,36}, {8,26}, {1,52}, {9,22}, {12,33}, {10,43}, {10,55}, {12,57}, {13,60}, {8,57}, {12,59}, {7,47}, {8,32}, {8,21}, {7,59}, {14,18}, {12,23}, {11,24}, {13,24}, {5,44}, {11,39}, {5,59}, {12,30}, {10,32}, {10,61}, {3,62}, {5,36}, {8,62}, {6,19}, {1,46}, {11,46}, {6,54}, {1,53}, {7,29}, {6,41}, {13,62}, {13,27}, {15,21}, {7,28}, {4,37}, {6,42}, {5,60}, {13,26}, {3,53}, {15,18}, {4,40}, {7,23}, {6,36}, {11,37}, {11,27}, {8,38}, {1,16}, {8,50}, {13,51}, {15,51}, {13,48}, {15,33}, {2,47}, {10,49}, {13,41}, {4,49}, {2,40}, {2,31}, {14,43}, {8,55}, {9,39}, {13,38}, {10,56}, {10,19}, {4,25}, {3,38}, {15,57}, {11,48}, {8,20}, {1,41}, {3,41}, {15,39}, {9,46}, {10,20}, {2,55}, {11,34}, {7,35}, {13,39}, {6,53}, {4,61}, {13,17}, {15,30}, {11,63}, {5,35}, {1,34}, {2,60}, {7,52}, {9,59}, {5,37}, {2,43}, {12,54}, {7,40}, {7,42}, {9,23}, {14,27}, {14,63}, {12,18}, {12,21}, {14,62}, {14,26}, {7,18}, {10,16} }; // ETB63.89 // Bipartite(21,42) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 704643072 EdgesBipt[63][89]:={ {15,33}, {6,52}, {18,45}, {7,48}, {11,40}, {10,37}, {8,57}, {14,36}, {9,32}, {6,25}, {5,38}, {5,22}, {5,43}, {5,59}, {8,51}, {3,26}, {8,63}, {17,42}, {15,44}, {3,61}, {15,54}, {4,31}, {16,58}, {3,35}, {20,46}, {21,30}, {13,63}, {16,55}, {21,41}, {11,53}, {2,49}, {3,23}, {17,56}, {10,39}, {14,45}, {16,37}, {15,56}, {20,37}, {16,28}, {20,58}, {21,28}, {4,51}, {2,61}, {2,46}, {6,56}, {6,58}, {14,57}, {13,27}, {2,33}, {6,32}, {17,35}, {21,53}, {15,57}, {10,42}, {19,40}, {20,26}, {19,31}, {2,25}, {12,48}, {4,24}, {4,43}, {21,40}, {1,52}, {2,52}, {4,30}, {7,59}, {16,49}, {8,30}, {12,46}, {9,33}, {20,43}, {9,57}, {20,24}, {6,60}, {12,38}, {13,30}, {7,27}, {19,22}, {6,39}, {14,62}, {11,39}, {7,33}, {12,31}, {20,29}, {17,26}, {13,47}, {5,60}, {1,24}, {16,61}, {18,58}, {20,39}, {19,52}, {13,42}, {12,37}, {13,51}, {16,34}, {6,46}, {7,56}, {8,38}, {13,26}, {17,47}, {12,52}, {17,36}, {2,29}, {18,47}, {1,38}, {13,41}, {16,40}, {10,51}, {18,29}, {9,36}, {6,34}, {1,43}, {8,42}, {18,26}, {4,22}, {7,54}, {11,63}, {5,27}, {16,59}, {18,59}, {15,28}, {5,28}, {14,46}, {3,47}, {21,62}, {1,42}, {7,32}, {7,60}, {19,38}, {1,31}, {12,27}, {7,53}, {11,42}, {17,57}, {14,34}, {15,50}, {19,23}, {11,60}, {20,25}, {4,32}, {8,56}, {8,50}, {21,61}, {4,53}, {16,29}, {13,48}, {3,55}, {9,51}, {10,57}, {11,23}, {3,24}, {10,36}, {20,51}, {10,58}, {11,33}, {8,60}, {9,55}, {21,25}, {21,31}, {10,55}, {8,41}, {18,38}, {11,58}, {10,61}, {3,62}, {1,41}, {20,22}, {4,45}, {1,63}, {12,55}, {1,59}, {13,53}, {9,54}, {15,23}, {11,44}, {3,44}, {8,59}, {7,35}, {16,56}, {1,22}, {11,24}, {15,52}, {17,46}, {13,50}, {11,61}, {20,30}, {9,30}, {5,39}, {14,27}, {18,44}, {16,41}, {17,44}, {19,41}, {13,29}, {17,61}, {10,30}, {20,47}, {4,50}, {4,34}, {15,35}, {6,31}, {11,32}, {21,32}, {12,25}, {11,54}, {14,43}, {15,49}, {19,53}, {19,44}, {7,39}, {3,41}, {4,29}, {9,44}, {1,54}, {14,63}, {20,60}, {6,37}, {17,63}, {10,28}, {9,24}, {17,22}, {17,25}, {2,54}, {21,49}, {5,23}, {2,26}, {10,40}, {19,61}, {14,55}, {1,62}, {19,62}, {2,28}, {8,29}, {21,52}, {9,23}, {8,36}, {21,46}, {5,46}, {4,55}, {6,47}, {3,48}, {13,32}, {1,45}, {20,50}, {19,59}, {19,39}, {9,28}, {3,34}, {19,43}, {18,28}, {15,29}, {18,24}, {19,60}, {3,56}, {2,31}, {16,38}, {11,45}, {1,33}, {18,27}, {12,36}, {3,45}, {7,47}, {16,50}, {12,33}, {13,62}, {12,58}, {10,63}, {18,49}, {14,24}, {5,51}, {6,26}, {2,50}, {21,27}, {17,40}, {12,34}, {18,23}, {4,35}, {21,48}, {21,51}, {19,32}, {13,33}, {16,62}, {14,25}, {5,49}, {13,54}, {7,26}, {20,45}, {10,60}, {11,37}, {2,47}, {16,35}, {14,42}, {10,34}, {3,40}, {8,35}, {2,40}, {15,22}, {9,45}, {12,59}, {14,41}, {18,50}, {12,57}, {3,27}, {7,38}, {15,36}, {2,63}, {15,31}, {8,62}, {6,55}, {6,53}, {9,49}, {5,44}, {5,25}, {12,54}, {17,23}, {9,53}, {4,52}, {8,39}, {14,22}, {9,34}, {15,43}, {7,36}, {6,35}, {17,43}, {14,48}, {1,37}, {1,58}, {2,42}, {7,57}, {18,48}, {5,48}, {18,37}, {4,56}, {5,30}, {10,49} }; // ETB63.90 // Bipartite(21,42) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 704643072 EdgesBipt[63][90]:={ {6,52}, {7,48}, {15,38}, {15,59}, {11,49}, {5,38}, {5,22}, {5,43}, {2,55}, {5,59}, {11,59}, {8,51}, {19,57}, {3,26}, {1,49}, {16,22}, {17,42}, {13,39}, {14,50}, {10,62}, {2,35}, {3,35}, {11,57}, {16,55}, {3,23}, {17,56}, {8,23}, {14,45}, {3,39}, {19,37}, {16,28}, {21,28}, {5,32}, {2,61}, {4,37}, {4,40}, {21,22}, {2,46}, {6,56}, {13,43}, {13,27}, {14,29}, {10,48}, {6,32}, {17,35}, {4,38}, {21,53}, {11,35}, {11,29}, {10,42}, {10,47}, {19,40}, {20,38}, {2,34}, {2,25}, {4,24}, {1,52}, {2,52}, {20,61}, {8,30}, {16,49}, {7,45}, {8,46}, {8,37}, {7,41}, {7,27}, {4,58}, {17,62}, {11,39}, {6,49}, {10,26}, {7,33}, {20,29}, {17,26}, {1,24}, {5,60}, {13,24}, {15,30}, {18,58}, {20,39}, {18,35}, {16,25}, {9,56}, {9,35}, {1,29}, {19,42}, {12,37}, {16,34}, {2,56}, {16,43}, {15,45}, {17,47}, {9,47}, {5,50}, {1,38}, {1,26}, {14,32}, {8,49}, {20,42}, {10,51}, {8,22}, {18,29}, {4,62}, {7,54}, {18,33}, {6,51}, {4,61}, {11,63}, {5,27}, {18,56}, {14,46}, {20,41}, {21,63}, {9,59}, {20,63}, {3,47}, {7,60}, {19,38}, {1,31}, {18,55}, {13,49}, {2,30}, {5,53}, {11,42}, {9,58}, {3,63}, {3,36}, {11,60}, {14,60}, {2,44}, {8,50}, {6,36}, {11,36}, {13,48}, {1,47}, {21,47}, {16,57}, {3,24}, {2,51}, {15,37}, {20,51}, {9,55}, {14,39}, {4,41}, {9,38}, {9,26}, {7,46}, {11,52}, {10,61}, {2,23}, {4,45}, {12,55}, {1,59}, {13,53}, {21,57}, {12,41}, {18,54}, {3,44}, {13,45}, {17,55}, {21,42}, {2,43}, {15,58}, {5,52}, {12,30}, {6,30}, {7,34}, {10,31}, {15,52}, {17,46}, {13,22}, {20,30}, {5,39}, {20,62}, {19,55}, {14,27}, {16,41}, {17,44}, {15,46}, {10,22}, {10,30}, {12,29}, {6,31}, {15,24}, {21,32}, {10,52}, {3,42}, {14,37}, {1,44}, {18,31}, {20,59}, {7,39}, {9,44}, {1,54}, {4,63}, {4,59}, {20,60}, {17,63}, {7,24}, {6,57}, {9,24}, {5,31}, {17,25}, {19,34}, {3,60}, {18,61}, {16,44}, {21,49}, {12,50}, {17,41}, {20,32}, {10,40}, {19,61}, {11,56}, {8,29}, {9,23}, {13,44}, {14,58}, {3,33}, {16,36}, {13,32}, {1,45}, {9,61}, {20,50}, {14,51}, {19,59}, {19,33}, {19,39}, {16,53}, {4,27}, {7,55}, {16,46}, {18,28}, {2,22}, {4,46}, {18,52}, {19,60}, {8,43}, {3,56}, {2,31}, {12,62}, {1,33}, {3,54}, {20,53}, {8,58}, {12,36}, {3,45}, {5,26}, {4,42}, {5,29}, {12,53}, {10,41}, {4,25}, {14,30}, {12,33}, {8,33}, {5,47}, {12,58}, {17,34}, {10,63}, {3,57}, {21,35}, {18,49}, {15,47}, {11,31}, {14,24}, {7,25}, {21,43}, {21,27}, {6,41}, {12,34}, {8,44}, {19,36}, {6,28}, {19,58}, {16,23}, {21,48}, {16,62}, {13,33}, {15,51}, {14,25}, {13,54}, {1,50}, {11,28}, {1,23}, {10,27}, {13,60}, {17,27}, {13,23}, {2,40}, {8,54}, {21,56}, {15,22}, {9,45}, {18,50}, {12,57}, {13,28}, {1,28}, {19,63}, {12,32}, {10,43}, {21,36}, {15,31}, {6,53}, {8,28}, {18,40}, {9,40}, {6,62}, {20,40}, {12,54}, {17,23}, {15,26}, {14,53}, {9,34}, {15,43}, {7,36}, {6,35}, {11,50}, {14,48}, {21,26}, {8,25}, {6,61}, {16,32}, {4,48}, {7,57}, {18,34}, {12,51}, {7,62}, {19,54}, {17,48}, {5,48}, {15,25}, {18,37}, {11,38}, {9,37}, {6,40} }; // ETB63.91 // Bipartite(21,42) Valencies [16,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2113929216 EdgesBipt[63][91]:={ {15,33}, {6,52}, {19,28}, {10,37}, {16,47}, {8,57}, {5,56}, {11,25}, {4,28}, {8,51}, {19,57}, {5,45}, {2,62}, {12,22}, {1,40}, {14,38}, {13,39}, {17,42}, {15,54}, {14,50}, {17,33}, {5,57}, {3,35}, {20,46}, {11,57}, {15,27}, {21,41}, {21,54}, {8,23}, {3,39}, {16,28}, {4,51}, {2,61}, {4,37}, {4,40}, {6,56}, {13,27}, {14,29}, {14,44}, {6,32}, {21,53}, {10,56}, {6,29}, {11,27}, {10,47}, {12,28}, {19,31}, {12,48}, {1,52}, {2,52}, {20,61}, {4,30}, {16,49}, {8,30}, {12,46}, {20,43}, {13,59}, {20,24}, {5,41}, {21,38}, {7,41}, {4,58}, {17,62}, {19,22}, {11,39}, {6,49}, {10,26}, {17,26}, {13,47}, {1,24}, {15,30}, {16,61}, {18,58}, {19,52}, {18,35}, {16,25}, {12,37}, {7,56}, {10,35}, {6,44}, {20,55}, {13,26}, {17,47}, {18,62}, {9,47}, {4,49}, {20,36}, {16,40}, {20,42}, {1,61}, {18,29}, {6,34}, {1,43}, {9,29}, {9,39}, {12,49}, {3,38}, {4,61}, {10,59}, {5,27}, {18,59}, {15,28}, {18,56}, {14,46}, {21,63}, {9,59}, {20,63}, {21,62}, {1,42}, {12,24}, {1,31}, {12,27}, {3,51}, {18,55}, {1,39}, {5,35}, {3,63}, {3,36}, {19,49}, {17,29}, {11,60}, {20,25}, {4,60}, {2,44}, {21,45}, {8,56}, {8,50}, {14,28}, {16,29}, {11,36}, {3,30}, {13,48}, {9,51}, {14,23}, {10,38}, {10,46}, {10,58}, {11,33}, {17,51}, {11,48}, {19,30}, {10,55}, {8,24}, {9,38}, {9,26}, {17,54}, {18,38}, {7,46}, {8,45}, {3,59}, {11,58}, {11,52}, {3,29}, {13,36}, {3,62}, {2,23}, {20,22}, {1,63}, {13,53}, {19,24}, {11,34}, {21,42}, {7,35}, {19,45}, {11,46}, {2,43}, {12,30}, {1,22}, {7,34}, {10,31}, {4,57}, {15,52}, {13,56}, {9,30}, {8,53}, {19,55}, {16,41}, {15,46}, {17,30}, {7,23}, {21,60}, {12,45}, {15,61}, {6,22}, {4,34}, {10,25}, {6,31}, {21,32}, {16,26}, {11,54}, {12,25}, {7,61}, {15,40}, {3,42}, {14,43}, {10,52}, {13,57}, {14,37}, {13,38}, {15,49}, {21,59}, {16,31}, {6,23}, {3,41}, {4,36}, {9,44}, {1,54}, {4,63}, {21,39}, {6,43}, {17,63}, {8,32}, {15,63}, {9,24}, {20,48}, {19,34}, {3,60}, {18,61}, {7,40}, {2,41}, {17,41}, {5,23}, {12,43}, {17,50}, {18,41}, {5,63}, {1,60}, {14,47}, {8,29}, {9,23}, {8,36}, {14,58}, {4,55}, {13,32}, {14,26}, {1,45}, {3,50}, {19,33}, {16,53}, {19,43}, {7,55}, {20,57}, {16,46}, {18,28}, {5,24}, {2,22}, {14,59}, {3,56}, {2,31}, {1,33}, {21,33}, {2,53}, {5,26}, {7,47}, {2,37}, {4,42}, {16,50}, {8,33}, {12,39}, {12,58}, {5,47}, {3,57}, {20,27}, {18,49}, {14,49}, {11,31}, {21,44}, {15,48}, {12,60}, {7,25}, {9,50}, {7,22}, {15,42}, {13,35}, {10,53}, {9,60}, {8,44}, {19,36}, {6,28}, {16,62}, {13,33}, {15,51}, {14,25}, {13,54}, {20,34}, {7,26}, {20,45}, {11,37}, {10,34}, {17,53}, {13,60}, {8,35}, {17,27}, {2,40}, {8,54}, {9,45}, {18,50}, {16,52}, {9,27}, {5,42}, {2,38}, {2,59}, {15,31}, {6,55}, {5,62}, {6,53}, {7,44}, {7,43}, {18,40}, {11,55}, {19,51}, {20,40}, {5,44}, {14,22}, {5,36}, {10,32}, {4,39}, {6,35}, {17,32}, {21,24}, {6,50}, {1,37}, {1,58}, {16,32}, {2,32}, {18,34}, {12,51}, {7,62}, {9,48}, {19,54}, {5,48}, {17,48}, {15,25}, {2,58}, {18,37}, {21,23} }; // ETB63.92 // Bipartite(27,36) Valencies [16,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2592 EdgesBipt[63][92]:={ {24,34}, {15,33}, {6,52}, {18,45}, {7,48}, {8,57}, {14,36}, {9,32}, {26,46}, {4,28}, {25,37}, {2,55}, {3,58}, {27,59}, {11,59}, {8,51}, {2,62}, {2,60}, {8,63}, {25,40}, {13,37}, {1,40}, {14,38}, {26,49}, {3,61}, {4,31}, {5,57}, {20,46}, {10,33}, {21,30}, {11,57}, {14,31}, {16,55}, {24,32}, {2,49}, {17,56}, {19,37}, {16,28}, {20,58}, {5,32}, {4,51}, {7,30}, {26,61}, {2,61}, {8,31}, {4,40}, {6,58}, {24,28}, {13,40}, {6,32}, {17,35}, {3,49}, {21,53}, {11,35}, {10,56}, {6,29}, {24,58}, {27,36}, {20,38}, {22,55}, {22,37}, {4,43}, {18,32}, {15,32}, {2,52}, {23,38}, {7,45}, {8,46}, {9,57}, {27,28}, {5,41}, {17,39}, {8,52}, {16,60}, {20,49}, {26,55}, {23,31}, {13,30}, {17,59}, {23,54}, {17,62}, {12,42}, {14,62}, {25,34}, {23,61}, {11,39}, {3,52}, {12,40}, {19,48}, {27,50}, {24,30}, {2,48}, {15,30}, {18,58}, {20,39}, {27,32}, {24,50}, {24,47}, {26,35}, {20,35}, {23,42}, {13,51}, {2,56}, {23,58}, {16,43}, {10,35}, {7,56}, {6,44}, {18,39}, {26,52}, {27,61}, {8,38}, {18,57}, {20,55}, {9,47}, {12,52}, {17,36}, {14,32}, {13,41}, {8,49}, {20,36}, {20,42}, {10,51}, {26,36}, {22,34}, {24,37}, {18,29}, {6,34}, {1,43}, {11,51}, {9,39}, {4,62}, {7,54}, {5,54}, {18,36}, {22,43}, {23,60}, {18,59}, {19,46}, {3,43}, {15,28}, {20,41}, {21,63}, {27,45}, {9,59}, {20,63}, {14,35}, {27,40}, {19,56}, {19,38}, {7,37}, {17,57}, {11,42}, {7,53}, {5,35}, {3,63}, {15,50}, {25,29}, {8,48}, {11,60}, {14,60}, {25,44}, {21,45}, {8,56}, {12,47}, {6,36}, {23,39}, {1,55}, {4,53}, {16,29}, {11,36}, {13,48}, {27,52}, {22,48}, {21,47}, {26,51}, {2,51}, {15,37}, {10,38}, {10,46}, {17,58}, {14,39}, {19,30}, {8,47}, {4,41}, {27,37}, {17,54}, {21,37}, {7,46}, {3,59}, {17,31}, {11,52}, {1,41}, {1,51}, {13,53}, {3,44}, {24,39}, {8,59}, {23,48}, {17,55}, {21,42}, {19,45}, {11,46}, {16,56}, {5,52}, {22,30}, {27,34}, {12,30}, {4,33}, {22,44}, {7,34}, {10,29}, {15,52}, {15,53}, {25,46}, {22,31}, {22,50}, {13,50}, {11,61}, {13,31}, {9,30}, {20,62}, {19,55}, {18,44}, {7,28}, {25,31}, {19,41}, {13,29}, {14,52}, {17,61}, {10,30}, {20,47}, {21,58}, {23,47}, {25,45}, {16,30}, {12,45}, {15,61}, {26,47}, {4,34}, {17,38}, {12,29}, {26,31}, {9,52}, {11,54}, {15,40}, {3,42}, {1,44}, {13,38}, {15,49}, {10,54}, {21,59}, {19,53}, {26,59}, {27,58}, {19,44}, {1,48}, {24,43}, {16,31}, {16,45}, {20,59}, {15,39}, {22,41}, {4,29}, {1,54}, {25,50}, {14,63}, {21,39}, {19,29}, {6,43}, {17,63}, {8,32}, {15,63}, {6,57}, {26,48}, {5,31}, {20,48}, {19,34}, {18,61}, {16,44}, {4,44}, {2,54}, {21,49}, {7,40}, {2,41}, {12,50}, {12,43}, {3,53}, {10,40}, {5,63}, {1,60}, {1,62}, {19,62}, {11,56}, {18,30}, {23,57}, {22,38}, {24,49}, {5,46}, {4,55}, {6,47}, {3,33}, {1,45}, {10,50}, {23,32}, {14,51}, {27,49}, {3,50}, {19,33}, {9,28}, {16,53}, {18,28}, {15,29}, {11,47}, {27,47}, {26,60}, {4,46}, {12,61}, {16,38}, {1,33}, {21,33}, {5,58}, {12,36}, {6,63}, {3,45}, {24,57}, {16,50}, {10,41}, {23,55}, {21,34}, {7,31}, {12,33}, {13,62}, {12,39}, {5,47}, {2,57}, {3,57}, {27,29}, {7,51}, {14,49}, {22,33}, {21,44}, {1,53}, {19,35}, {5,51}, {11,41}, {17,60}, {26,32}, {15,42}, {13,35}, {23,49}, {21,29}, {24,61}, {14,61}, {24,44}, {12,34}, {6,28}, {6,42}, {27,44}, {4,35}, {16,62}, {13,33}, {18,43}, {23,46}, {18,53}, {1,56}, {1,50}, {10,60}, {16,35}, {5,55}, {14,42}, {10,34}, {3,40}, {13,60}, {10,45}, {8,54}, {9,45}, {12,59}, {14,41}, {18,50}, {12,57}, {16,54}, {9,63}, {18,63}, {22,46}, {13,28}, {20,56}, {7,38}, {5,42}, {2,59}, {15,36}, {25,35}, {10,43}, {2,63}, {21,36}, {8,62}, {6,53}, {5,62}, {9,49}, {7,43}, {9,40}, {24,42}, {22,54}, {9,53}, {9,43}, {3,37}, {8,39}, {23,41}, {25,55}, {25,28}, {5,36}, {9,34}, {24,33}, {25,60}, {25,48}, {17,32}, {22,60}, {26,58}, {14,48}, {22,28}, {1,37}, {26,56}, {2,42}, {6,33}, {7,62}, {25,56}, {2,58}, {4,54}, {11,38}, {9,37}, {25,51}, {6,40} }; // ETB63.93 // Bipartite(27,36) Valencies [16,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[63][93]:={ {15,33}, {18,45}, {6,38}, {11,40}, {16,47}, {15,38}, {8,57}, {27,48}, {6,59}, {5,38}, {23,29}, {4,28}, {25,37}, {5,43}, {5,59}, {23,53}, {25,47}, {27,59}, {8,51}, {5,45}, {2,62}, {22,40}, {17,42}, {14,50}, {10,62}, {8,40}, {5,57}, {3,35}, {20,46}, {21,30}, {11,57}, {16,55}, {24,32}, {11,53}, {2,49}, {14,56}, {21,54}, {17,56}, {19,37}, {20,37}, {20,58}, {1,35}, {4,51}, {15,41}, {26,61}, {2,61}, {4,37}, {20,52}, {24,48}, {6,58}, {14,29}, {10,48}, {23,44}, {2,33}, {24,56}, {3,49}, {11,29}, {15,57}, {10,42}, {27,36}, {19,40}, {12,28}, {22,37}, {26,38}, {21,40}, {16,42}, {16,48}, {18,32}, {4,30}, {7,59}, {9,33}, {20,43}, {7,45}, {8,46}, {26,39}, {27,28}, {5,41}, {7,41}, {23,31}, {4,58}, {12,42}, {14,62}, {23,36}, {11,39}, {22,42}, {12,31}, {2,48}, {16,61}, {5,37}, {27,32}, {21,50}, {26,35}, {18,35}, {9,56}, {24,31}, {13,42}, {20,35}, {1,29}, {23,58}, {16,43}, {7,56}, {15,45}, {6,44}, {26,52}, {8,38}, {9,62}, {20,55}, {5,50}, {12,52}, {4,49}, {17,36}, {18,47}, {1,38}, {18,46}, {14,32}, {2,36}, {8,49}, {13,41}, {25,52}, {20,42}, {10,51}, {26,36}, {1,61}, {22,34}, {24,37}, {22,58}, {1,43}, {12,49}, {9,39}, {11,51}, {8,42}, {7,54}, {18,33}, {6,51}, {22,43}, {3,38}, {11,63}, {10,59}, {20,41}, {9,46}, {9,59}, {24,40}, {26,63}, {3,47}, {22,59}, {27,40}, {7,60}, {19,56}, {1,31}, {7,53}, {2,30}, {9,58}, {5,35}, {14,34}, {3,63}, {3,36}, {25,29}, {17,29}, {14,54}, {27,57}, {14,60}, {2,44}, {21,45}, {8,50}, {14,28}, {12,56}, {1,55}, {24,53}, {16,29}, {3,30}, {3,55}, {13,48}, {1,47}, {22,48}, {21,47}, {10,36}, {14,33}, {20,51}, {10,38}, {15,34}, {10,46}, {25,63}, {8,60}, {9,55}, {11,48}, {19,30}, {9,38}, {27,37}, {17,54}, {11,58}, {17,31}, {3,29}, {13,36}, {4,45}, {26,44}, {13,53}, {22,29}, {25,32}, {18,54}, {20,54}, {13,45}, {24,39}, {25,49}, {17,55}, {11,34}, {21,42}, {15,60}, {16,56}, {11,46}, {25,30}, {2,43}, {5,52}, {22,30}, {6,30}, {7,50}, {4,33}, {7,34}, {10,31}, {4,57}, {25,61}, {15,53}, {23,51}, {13,56}, {13,50}, {23,56}, {11,61}, {23,35}, {13,31}, {5,39}, {8,53}, {19,55}, {3,32}, {16,41}, {7,28}, {25,31}, {17,44}, {19,41}, {15,46}, {17,30}, {5,40}, {20,47}, {23,47}, {15,61}, {26,47}, {12,29}, {1,57}, {26,31}, {11,32}, {9,52}, {27,51}, {10,52}, {19,50}, {27,35}, {13,57}, {1,44}, {13,38}, {15,49}, {24,35}, {19,53}, {26,59}, {27,58}, {18,31}, {19,44}, {7,49}, {24,43}, {9,41}, {25,38}, {20,59}, {23,59}, {3,41}, {23,34}, {1,32}, {1,54}, {4,63}, {14,63}, {21,39}, {7,52}, {20,60}, {6,43}, {22,39}, {24,51}, {15,63}, {26,48}, {19,34}, {18,61}, {16,44}, {4,44}, {24,60}, {7,40}, {2,41}, {17,41}, {10,40}, {14,55}, {26,30}, {1,62}, {11,56}, {18,30}, {2,28}, {21,52}, {2,45}, {21,46}, {23,52}, {4,55}, {6,47}, {3,48}, {25,43}, {16,36}, {13,32}, {1,45}, {23,32}, {27,49}, {19,59}, {3,50}, {19,33}, {19,39}, {9,28}, {16,53}, {16,46}, {15,29}, {19,60}, {25,39}, {2,31}, {12,61}, {12,62}, {1,33}, {21,33}, {3,54}, {20,53}, {8,58}, {12,36}, {6,63}, {26,28}, {2,37}, {16,50}, {12,53}, {21,34}, {8,33}, {13,62}, {12,39}, {12,58}, {5,47}, {17,34}, {10,63}, {6,54}, {3,57}, {15,55}, {27,29}, {7,51}, {14,49}, {21,44}, {12,60}, {19,35}, {24,52}, {17,60}, {21,43}, {2,50}, {6,41}, {24,61}, {14,61}, {24,44}, {26,57}, {23,30}, {6,28}, {19,58}, {27,44}, {4,35}, {21,51}, {23,46}, {18,53}, {5,49}, {13,54}, {20,45}, {10,60}, {11,28}, {16,35}, {8,55}, {14,42}, {10,34}, {16,33}, {8,54}, {21,56}, {17,45}, {9,45}, {12,59}, {18,50}, {12,57}, {9,63}, {22,46}, {17,37}, {13,28}, {1,28}, {7,63}, {15,36}, {27,62}, {2,63}, {15,31}, {8,62}, {6,55}, {5,62}, {6,62}, {24,42}, {26,40}, {27,43}, {18,60}, {4,52}, {22,36}, {22,47}, {3,37}, {8,39}, {9,42}, {9,34}, {10,32}, {13,46}, {4,39}, {25,62}, {17,32}, {22,60}, {17,43}, {25,58}, {6,50}, {14,48}, {22,61}, {7,57}, {18,34}, {18,48}, {5,33}, {18,37}, {4,54}, {11,38}, {10,49}, {25,51}, {6,40} }; // ETB63.94 // Bipartite(27,36) Valencies [16,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[63][94]:={ {6,52}, {7,48}, {15,38}, {15,59}, {26,46}, {5,56}, {16,51}, {4,28}, {2,55}, {27,59}, {11,59}, {8,51}, {2,62}, {12,63}, {1,49}, {1,40}, {3,61}, {11,43}, {2,35}, {8,40}, {16,58}, {5,57}, {3,35}, {10,33}, {13,63}, {11,53}, {14,56}, {17,56}, {16,37}, {19,37}, {15,56}, {20,58}, {21,28}, {7,30}, {15,41}, {26,61}, {2,61}, {4,37}, {20,52}, {13,43}, {10,48}, {24,28}, {27,56}, {13,40}, {27,54}, {17,35}, {3,49}, {11,29}, {27,36}, {10,47}, {22,55}, {19,31}, {26,38}, {21,40}, {16,48}, {1,52}, {15,32}, {4,30}, {16,49}, {8,30}, {23,38}, {12,46}, {9,33}, {13,59}, {8,46}, {8,37}, {26,39}, {5,41}, {17,39}, {6,60}, {16,60}, {21,38}, {26,55}, {13,30}, {17,59}, {23,54}, {4,58}, {17,62}, {12,42}, {25,34}, {22,42}, {7,33}, {12,31}, {3,52}, {20,29}, {23,28}, {18,58}, {19,52}, {24,50}, {24,47}, {26,35}, {18,35}, {24,31}, {13,42}, {1,29}, {19,42}, {23,42}, {16,34}, {13,51}, {6,46}, {16,43}, {10,35}, {15,45}, {13,58}, {18,57}, {9,62}, {20,55}, {9,47}, {2,29}, {5,34}, {1,38}, {14,32}, {2,36}, {13,41}, {25,52}, {27,30}, {18,29}, {9,36}, {6,34}, {9,29}, {12,49}, {6,51}, {22,43}, {3,38}, {11,63}, {16,59}, {15,28}, {18,56}, {5,28}, {21,55}, {14,46}, {21,63}, {27,45}, {2,39}, {9,46}, {20,63}, {1,42}, {22,59}, {7,32}, {7,60}, {19,56}, {19,38}, {1,31}, {19,47}, {25,33}, {27,60}, {1,39}, {7,53}, {11,42}, {2,30}, {9,58}, {14,34}, {3,36}, {13,61}, {25,29}, {8,48}, {14,54}, {26,41}, {27,57}, {14,60}, {25,44}, {4,60}, {1,30}, {21,45}, {8,50}, {14,28}, {12,56}, {23,39}, {1,55}, {16,29}, {27,52}, {22,48}, {16,57}, {10,36}, {15,37}, {17,51}, {11,48}, {8,47}, {4,41}, {9,38}, {8,41}, {24,55}, {21,37}, {10,61}, {13,36}, {3,62}, {4,45}, {1,59}, {21,57}, {9,54}, {20,54}, {11,44}, {13,45}, {20,31}, {24,39}, {23,48}, {25,49}, {21,42}, {7,35}, {15,60}, {11,46}, {6,30}, {4,33}, {22,44}, {10,31}, {25,41}, {7,58}, {25,61}, {23,51}, {25,46}, {22,31}, {11,61}, {13,31}, {5,39}, {24,38}, {6,45}, {17,61}, {15,46}, {10,30}, {5,40}, {20,47}, {4,50}, {23,47}, {25,45}, {11,62}, {26,47}, {12,29}, {25,53}, {6,31}, {17,52}, {27,51}, {15,40}, {3,42}, {22,57}, {22,62}, {27,35}, {14,37}, {13,38}, {15,49}, {24,63}, {19,53}, {26,59}, {19,44}, {1,48}, {24,43}, {9,41}, {16,45}, {23,59}, {4,36}, {22,41}, {22,52}, {14,63}, {21,39}, {6,37}, {17,63}, {8,32}, {24,51}, {6,57}, {10,28}, {5,31}, {26,53}, {19,34}, {18,61}, {4,44}, {2,54}, {24,60}, {7,40}, {12,50}, {17,41}, {20,32}, {3,53}, {17,50}, {18,41}, {14,55}, {26,30}, {11,56}, {2,28}, {8,29}, {23,57}, {14,58}, {24,49}, {5,46}, {6,47}, {3,48}, {10,50}, {23,32}, {14,51}, {27,49}, {11,30}, {19,39}, {16,53}, {19,43}, {7,55}, {20,57}, {11,47}, {27,47}, {26,60}, {18,52}, {25,36}, {8,43}, {25,39}, {2,31}, {12,62}, {11,45}, {20,28}, {21,33}, {5,58}, {3,54}, {20,53}, {12,36}, {12,44}, {2,37}, {4,42}, {14,30}, {3,28}, {21,34}, {12,33}, {5,47}, {2,57}, {3,57}, {21,35}, {18,49}, {15,55}, {27,29}, {7,51}, {14,49}, {22,33}, {20,33}, {21,44}, {1,53}, {19,35}, {5,51}, {13,34}, {24,52}, {9,50}, {21,43}, {2,50}, {23,49}, {10,53}, {21,29}, {24,61}, {14,61}, {17,40}, {24,44}, {12,34}, {9,60}, {8,44}, {26,57}, {19,58}, {6,42}, {27,44}, {19,32}, {16,62}, {18,43}, {13,54}, {20,45}, {1,50}, {23,33}, {11,28}, {8,55}, {14,42}, {10,34}, {17,53}, {3,40}, {8,35}, {10,45}, {8,54}, {17,45}, {18,50}, {12,59}, {9,63}, {18,63}, {17,37}, {16,39}, {26,34}, {20,56}, {7,38}, {7,63}, {2,59}, {23,50}, {12,32}, {15,36}, {24,62}, {10,43}, {15,31}, {5,62}, {7,44}, {18,40}, {6,62}, {18,60}, {20,40}, {5,44}, {22,54}, {25,54}, {9,53}, {4,52}, {9,43}, {26,33}, {1,46}, {3,37}, {22,32}, {23,41}, {25,55}, {5,36}, {15,43}, {10,32}, {4,39}, {12,35}, {7,36}, {17,32}, {22,60}, {6,50}, {1,58}, {26,56}, {16,32}, {4,48}, {22,61}, {23,63}, {6,33}, {18,34}, {18,48}, {7,62}, {3,46}, {19,54}, {5,48}, {2,58}, {4,56}, {10,49}, {9,37}, {25,51}, {27,38}, {6,40} }; // ETB63.95 // Bipartite(27,36) Valencies [16,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 51840 EdgesBipt[63][95]:={ {24,34}, {6,52}, {7,48}, {19,28}, {11,40}, {15,38}, {15,59}, {14,36}, {11,49}, {5,38}, {23,29}, {16,51}, {4,28}, {5,43}, {2,55}, {23,53}, {25,47}, {27,59}, {11,59}, {19,57}, {2,62}, {12,63}, {22,40}, {1,40}, {17,42}, {13,39}, {11,43}, {26,43}, {3,35}, {11,57}, {14,31}, {24,54}, {14,56}, {21,54}, {6,48}, {19,37}, {21,28}, {1,35}, {4,51}, {7,30}, {4,37}, {20,52}, {2,46}, {6,58}, {14,29}, {10,48}, {23,44}, {14,44}, {6,32}, {4,38}, {11,29}, {10,56}, {10,42}, {27,36}, {10,47}, {2,34}, {12,48}, {4,43}, {16,42}, {18,32}, {2,52}, {20,61}, {8,30}, {23,38}, {12,46}, {13,59}, {8,37}, {9,57}, {27,28}, {5,41}, {6,60}, {16,60}, {20,49}, {26,55}, {23,31}, {17,59}, {17,62}, {12,42}, {6,39}, {14,62}, {23,36}, {25,34}, {12,31}, {3,52}, {12,40}, {23,28}, {27,50}, {13,47}, {2,48}, {18,58}, {20,39}, {5,37}, {19,52}, {27,32}, {24,50}, {21,50}, {26,35}, {18,35}, {9,56}, {24,31}, {1,36}, {13,51}, {6,46}, {6,44}, {18,39}, {13,58}, {8,38}, {18,57}, {20,55}, {27,53}, {18,62}, {4,49}, {5,34}, {14,32}, {16,40}, {20,42}, {27,30}, {9,36}, {1,43}, {9,29}, {9,39}, {12,49}, {7,54}, {5,54}, {6,51}, {10,59}, {16,59}, {18,56}, {24,41}, {21,63}, {2,39}, {9,46}, {24,40}, {3,47}, {22,59}, {7,60}, {3,31}, {3,51}, {27,60}, {1,39}, {7,37}, {17,57}, {5,35}, {15,50}, {3,36}, {13,61}, {19,49}, {17,29}, {8,48}, {27,57}, {14,60}, {4,32}, {25,44}, {4,60}, {1,30}, {21,45}, {8,56}, {8,50}, {12,56}, {1,55}, {4,53}, {16,29}, {3,30}, {9,51}, {1,47}, {22,48}, {14,33}, {2,51}, {15,37}, {20,51}, {10,46}, {10,58}, {11,33}, {22,56}, {8,60}, {17,51}, {17,58}, {25,59}, {19,30}, {8,47}, {4,41}, {9,38}, {8,41}, {24,55}, {18,38}, {21,37}, {7,46}, {8,45}, {3,59}, {11,58}, {11,52}, {13,36}, {1,41}, {1,63}, {26,44}, {1,59}, {21,57}, {20,54}, {26,54}, {4,47}, {23,48}, {25,49}, {24,59}, {21,42}, {15,60}, {16,56}, {25,30}, {2,43}, {15,58}, {12,30}, {4,33}, {10,31}, {10,29}, {15,52}, {13,56}, {25,46}, {22,50}, {13,50}, {23,56}, {11,61}, {20,30}, {5,39}, {19,55}, {18,44}, {26,62}, {16,41}, {17,61}, {15,46}, {10,30}, {5,40}, {21,58}, {25,45}, {16,30}, {11,62}, {15,61}, {26,47}, {4,34}, {17,38}, {25,53}, {26,31}, {11,32}, {22,53}, {7,61}, {10,52}, {14,43}, {22,62}, {27,35}, {14,37}, {13,38}, {24,35}, {10,54}, {19,53}, {18,31}, {7,49}, {9,41}, {16,31}, {16,45}, {25,38}, {3,41}, {23,34}, {15,39}, {9,44}, {14,63}, {24,29}, {19,29}, {15,63}, {10,28}, {18,61}, {16,44}, {24,60}, {7,40}, {12,43}, {20,32}, {25,42}, {18,41}, {19,61}, {5,63}, {14,55}, {27,46}, {7,29}, {1,62}, {14,47}, {18,30}, {22,38}, {13,44}, {24,49}, {2,45}, {23,52}, {5,46}, {6,47}, {3,48}, {3,33}, {13,32}, {1,45}, {20,50}, {14,51}, {27,49}, {3,50}, {19,39}, {9,28}, {3,34}, {16,53}, {7,55}, {15,29}, {11,47}, {26,60}, {25,36}, {8,43}, {2,31}, {12,61}, {12,62}, {11,45}, {1,33}, {21,33}, {5,58}, {20,53}, {6,63}, {2,53}, {26,28}, {7,47}, {4,42}, {10,41}, {23,55}, {21,34}, {12,33}, {13,62}, {23,62}, {2,57}, {17,34}, {10,63}, {6,54}, {3,57}, {21,35}, {15,55}, {7,51}, {22,33}, {20,33}, {1,53}, {19,35}, {26,50}, {24,52}, {11,41}, {17,60}, {9,50}, {26,32}, {15,42}, {2,50}, {23,49}, {21,29}, {24,61}, {17,40}, {24,44}, {19,36}, {26,57}, {6,28}, {19,58}, {21,51}, {19,32}, {13,33}, {5,49}, {20,34}, {20,45}, {11,28}, {16,35}, {8,55}, {14,42}, {17,53}, {8,61}, {10,45}, {2,40}, {8,54}, {21,56}, {17,45}, {9,45}, {12,57}, {17,37}, {16,39}, {26,34}, {20,56}, {22,63}, {5,42}, {19,63}, {12,32}, {22,35}, {2,63}, {21,36}, {15,31}, {6,53}, {7,44}, {27,42}, {8,28}, {9,49}, {9,40}, {27,43}, {5,44}, {22,54}, {12,54}, {25,54}, {4,52}, {22,36}, {9,43}, {27,31}, {3,37}, {8,39}, {23,41}, {25,55}, {24,33}, {15,43}, {13,46}, {25,62}, {7,36}, {6,35}, {22,60}, {13,52}, {25,58}, {26,58}, {22,28}, {1,37}, {16,32}, {4,48}, {22,61}, {7,57}, {23,63}, {26,45}, {18,34}, {18,48}, {3,46}, {17,48}, {5,33}, {18,37}, {27,38}, {6,40} }; // ETB63.96 // Bipartite(27,36) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1916879996223737561088 EdgesBipt[63][96]:={ {24,34}, {6,52}, {7,48}, {19,28}, {10,37}, {15,59}, {8,57}, {27,48}, {14,36}, {6,59}, {5,38}, {23,29}, {5,56}, {4,28}, {25,37}, {3,58}, {5,59}, {8,51}, {25,57}, {5,45}, {2,62}, {2,60}, {25,40}, {13,37}, {14,38}, {16,63}, {17,42}, {15,44}, {14,50}, {10,62}, {2,35}, {17,33}, {16,58}, {5,57}, {13,63}, {16,55}, {24,32}, {27,33}, {21,41}, {11,53}, {14,56}, {14,45}, {16,37}, {19,37}, {16,28}, {21,28}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {4,37}, {13,43}, {6,58}, {14,57}, {14,29}, {15,62}, {6,32}, {17,35}, {2,33}, {3,49}, {11,35}, {11,29}, {10,56}, {24,58}, {10,47}, {20,38}, {22,55}, {12,28}, {22,37}, {4,43}, {21,40}, {16,48}, {1,52}, {15,32}, {23,45}, {8,30}, {16,49}, {23,38}, {12,46}, {9,33}, {7,45}, {9,57}, {26,39}, {5,41}, {17,39}, {21,38}, {12,38}, {17,59}, {23,54}, {17,62}, {23,36}, {6,49}, {22,42}, {12,31}, {12,40}, {20,29}, {18,58}, {19,52}, {24,50}, {21,50}, {26,35}, {13,55}, {24,31}, {13,42}, {20,35}, {1,29}, {12,37}, {13,51}, {2,56}, {10,35}, {18,39}, {6,44}, {27,61}, {18,57}, {5,50}, {2,29}, {1,38}, {14,32}, {2,36}, {20,36}, {16,40}, {20,42}, {1,61}, {22,34}, {27,30}, {6,34}, {1,43}, {12,49}, {9,39}, {11,51}, {8,42}, {7,54}, {5,54}, {18,33}, {22,43}, {3,38}, {11,63}, {4,61}, {19,46}, {21,55}, {24,41}, {20,63}, {24,40}, {26,42}, {3,47}, {27,39}, {27,40}, {19,56}, {19,38}, {3,31}, {19,47}, {27,60}, {7,37}, {17,57}, {11,42}, {9,58}, {15,50}, {13,61}, {8,48}, {11,60}, {14,54}, {26,41}, {27,57}, {4,60}, {2,44}, {8,50}, {12,56}, {12,47}, {23,39}, {1,55}, {18,51}, {24,53}, {11,36}, {3,55}, {9,51}, {27,52}, {1,47}, {21,47}, {26,51}, {16,57}, {2,51}, {20,51}, {10,38}, {15,34}, {10,46}, {25,63}, {11,33}, {8,60}, {17,51}, {14,39}, {21,31}, {10,55}, {8,41}, {21,37}, {7,46}, {3,59}, {3,29}, {10,61}, {13,36}, {4,45}, {26,44}, {12,55}, {12,41}, {20,54}, {11,44}, {13,45}, {8,59}, {23,48}, {25,49}, {24,59}, {25,30}, {15,58}, {27,34}, {4,33}, {9,31}, {10,44}, {10,29}, {7,58}, {15,52}, {15,53}, {25,46}, {23,56}, {9,30}, {5,39}, {20,62}, {8,53}, {19,55}, {3,32}, {26,62}, {22,45}, {7,28}, {20,44}, {25,31}, {17,44}, {17,30}, {20,47}, {21,58}, {23,47}, {25,45}, {16,30}, {11,62}, {15,61}, {4,34}, {15,35}, {12,29}, {6,31}, {9,52}, {27,51}, {21,32}, {11,54}, {15,40}, {10,52}, {1,44}, {15,49}, {24,35}, {21,59}, {19,53}, {26,59}, {27,58}, {18,31}, {19,44}, {7,49}, {24,43}, {16,31}, {16,45}, {23,59}, {7,39}, {3,41}, {4,36}, {4,63}, {22,52}, {14,63}, {20,60}, {19,29}, {6,43}, {8,32}, {10,28}, {26,48}, {26,53}, {19,34}, {18,61}, {2,54}, {21,49}, {7,40}, {12,50}, {17,41}, {17,50}, {19,61}, {5,63}, {26,30}, {1,62}, {19,62}, {11,56}, {14,47}, {18,30}, {23,57}, {24,49}, {2,45}, {21,46}, {4,55}, {16,36}, {9,61}, {23,32}, {27,49}, {3,50}, {19,43}, {7,55}, {16,46}, {11,47}, {14,59}, {26,60}, {4,46}, {18,52}, {25,36}, {25,39}, {3,56}, {11,45}, {20,53}, {2,53}, {4,42}, {5,29}, {14,30}, {3,28}, {7,31}, {8,33}, {5,47}, {12,58}, {18,49}, {22,33}, {20,33}, {1,53}, {19,35}, {26,50}, {13,34}, {24,52}, {17,60}, {26,32}, {1,34}, {22,51}, {6,41}, {10,53}, {21,29}, {24,61}, {24,44}, {9,60}, {8,44}, {26,57}, {23,30}, {13,33}, {18,43}, {1,56}, {13,54}, {20,45}, {2,47}, {10,34}, {17,53}, {3,40}, {13,60}, {8,35}, {21,56}, {14,41}, {12,59}, {16,54}, {22,46}, {16,39}, {13,28}, {1,28}, {20,56}, {22,63}, {7,63}, {2,38}, {23,50}, {12,32}, {24,62}, {10,43}, {2,63}, {15,31}, {8,62}, {6,53}, {27,42}, {9,49}, {18,40}, {9,40}, {6,62}, {27,43}, {18,60}, {22,54}, {25,54}, {4,52}, {22,36}, {9,43}, {26,33}, {1,46}, {27,31}, {3,37}, {8,39}, {9,42}, {23,41}, {25,55}, {25,28}, {5,36}, {9,34}, {15,43}, {13,46}, {25,48}, {7,36}, {6,35}, {17,32}, {22,60}, {13,52}, {25,58}, {6,50}, {14,48}, {22,28}, {1,37}, {2,42}, {6,61}, {18,42}, {22,61}, {7,57}, {23,63}, {18,34}, {18,48}, {3,46}, {9,48}, {17,48}, {5,48}, {5,30}, {4,54}, {11,38}, {6,40} }; // ETB63.97 // Bipartite(27,36) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 380420285792256 EdgesBipt[63][97]:={ {19,28}, {11,40}, {16,47}, {15,59}, {8,57}, {27,48}, {6,59}, {9,32}, {16,51}, {25,47}, {5,45}, {2,62}, {2,60}, {16,63}, {13,39}, {26,49}, {3,61}, {15,54}, {14,50}, {4,31}, {8,40}, {3,35}, {20,46}, {10,33}, {11,57}, {14,31}, {24,54}, {24,36}, {17,56}, {26,37}, {14,45}, {6,48}, {3,39}, {20,58}, {21,28}, {5,32}, {15,41}, {8,31}, {2,46}, {13,43}, {24,48}, {6,58}, {23,44}, {24,28}, {14,44}, {27,54}, {17,35}, {21,53}, {11,29}, {10,56}, {10,42}, {24,58}, {27,36}, {20,38}, {12,28}, {26,38}, {4,43}, {1,52}, {18,32}, {23,45}, {4,30}, {16,49}, {12,46}, {13,59}, {7,45}, {8,37}, {26,39}, {24,46}, {17,39}, {26,55}, {23,31}, {13,30}, {17,59}, {14,62}, {11,39}, {22,42}, {7,33}, {3,52}, {20,29}, {27,50}, {13,47}, {5,60}, {24,30}, {15,30}, {16,61}, {18,58}, {20,39}, {5,37}, {19,52}, {27,32}, {26,35}, {18,35}, {24,45}, {13,42}, {9,35}, {1,36}, {19,42}, {23,42}, {12,37}, {2,56}, {6,46}, {16,43}, {7,56}, {15,45}, {8,38}, {9,62}, {27,53}, {18,62}, {9,47}, {12,52}, {4,49}, {5,50}, {2,29}, {18,47}, {1,38}, {14,32}, {13,41}, {8,49}, {20,42}, {10,51}, {22,34}, {24,37}, {27,30}, {18,29}, {9,36}, {9,29}, {7,54}, {18,36}, {22,43}, {23,60}, {4,61}, {11,63}, {10,59}, {19,46}, {3,43}, {15,28}, {21,55}, {24,41}, {2,39}, {20,63}, {24,40}, {21,62}, {1,42}, {22,59}, {27,40}, {19,56}, {19,38}, {25,33}, {3,51}, {13,49}, {17,57}, {11,42}, {7,53}, {9,58}, {13,61}, {25,29}, {11,60}, {26,41}, {14,60}, {4,60}, {22,49}, {2,44}, {8,56}, {8,50}, {21,61}, {6,36}, {16,29}, {13,48}, {3,55}, {27,52}, {22,48}, {10,36}, {14,33}, {15,37}, {10,38}, {10,46}, {25,63}, {17,58}, {4,41}, {8,41}, {24,55}, {21,37}, {11,58}, {17,31}, {3,62}, {1,41}, {12,55}, {1,51}, {1,59}, {21,57}, {22,29}, {9,54}, {18,54}, {11,44}, {4,47}, {3,44}, {8,59}, {23,48}, {25,49}, {17,55}, {24,59}, {7,35}, {11,46}, {16,56}, {15,58}, {22,30}, {27,34}, {6,30}, {4,57}, {25,61}, {23,51}, {22,31}, {13,31}, {9,30}, {20,62}, {8,53}, {18,44}, {6,45}, {20,44}, {25,31}, {19,41}, {13,29}, {15,46}, {20,47}, {25,45}, {11,62}, {15,61}, {4,34}, {17,38}, {25,53}, {26,31}, {9,52}, {7,61}, {15,40}, {10,52}, {19,50}, {22,57}, {27,35}, {13,57}, {14,37}, {24,63}, {10,54}, {26,59}, {27,58}, {7,49}, {24,43}, {16,31}, {16,45}, {25,38}, {22,41}, {4,29}, {9,44}, {1,32}, {1,54}, {22,52}, {4,59}, {14,63}, {21,39}, {20,60}, {6,43}, {6,37}, {8,32}, {22,39}, {15,63}, {10,28}, {5,31}, {26,53}, {19,34}, {17,41}, {12,43}, {3,53}, {17,50}, {5,63}, {1,60}, {14,55}, {23,37}, {7,29}, {11,56}, {18,30}, {2,28}, {21,52}, {2,45}, {21,46}, {25,43}, {3,33}, {16,36}, {10,50}, {23,32}, {14,51}, {19,59}, {19,33}, {3,34}, {16,53}, {20,57}, {11,47}, {27,47}, {18,52}, {19,60}, {25,36}, {12,61}, {16,38}, {12,62}, {11,45}, {1,33}, {20,28}, {21,33}, {8,58}, {6,63}, {12,44}, {7,47}, {4,42}, {12,53}, {10,41}, {23,55}, {14,30}, {3,28}, {21,34}, {7,31}, {12,33}, {23,62}, {12,39}, {2,57}, {3,57}, {6,54}, {21,35}, {15,55}, {27,29}, {7,51}, {14,49}, {21,44}, {15,48}, {26,50}, {5,51}, {13,34}, {9,50}, {26,32}, {1,34}, {21,43}, {6,41}, {23,49}, {24,61}, {17,40}, {12,34}, {19,36}, {26,57}, {23,30}, {6,28}, {27,44}, {21,51}, {19,32}, {18,53}, {5,49}, {1,56}, {20,45}, {1,50}, {10,60}, {23,33}, {11,28}, {2,47}, {16,35}, {8,55}, {5,55}, {14,42}, {10,34}, {16,33}, {17,53}, {13,60}, {8,35}, {2,40}, {18,50}, {12,57}, {16,54}, {17,37}, {1,28}, {20,56}, {7,38}, {5,42}, {7,63}, {2,38}, {23,50}, {15,36}, {25,35}, {27,62}, {2,63}, {6,55}, {5,62}, {7,43}, {18,40}, {9,40}, {19,51}, {26,40}, {20,40}, {5,44}, {25,54}, {9,53}, {4,52}, {22,47}, {1,46}, {3,37}, {8,39}, {9,34}, {15,43}, {10,32}, {4,39}, {12,35}, {7,36}, {17,32}, {22,60}, {13,52}, {26,58}, {14,48}, {26,56}, {2,42}, {6,61}, {4,48}, {22,61}, {23,63}, {18,34}, {12,51}, {17,49}, {18,48}, {25,56}, {3,46}, {9,48}, {19,54}, {5,48}, {5,33}, {2,58}, {5,30}, {11,38}, {25,51}, {6,40} }; // ETB63.98 // Bipartite(27,36) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3423782572130304 EdgesBipt[63][98]:={ {11,40}, {8,57}, {27,48}, {14,36}, {6,59}, {11,49}, {9,32}, {5,38}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {27,59}, {19,57}, {5,45}, {2,60}, {12,63}, {22,40}, {25,40}, {14,38}, {16,63}, {26,49}, {15,44}, {26,43}, {21,30}, {13,63}, {11,57}, {16,55}, {24,32}, {27,33}, {21,41}, {14,56}, {21,54}, {17,56}, {14,45}, {16,37}, {3,39}, {16,28}, {1,35}, {26,61}, {2,61}, {4,37}, {20,52}, {2,46}, {6,58}, {14,29}, {24,28}, {15,62}, {2,33}, {17,35}, {6,32}, {24,56}, {3,49}, {11,29}, {10,56}, {15,57}, {24,58}, {10,47}, {19,40}, {2,34}, {22,55}, {12,28}, {19,31}, {22,37}, {4,43}, {16,48}, {18,32}, {2,52}, {20,61}, {8,30}, {12,46}, {9,33}, {20,43}, {8,46}, {8,37}, {9,57}, {26,39}, {24,46}, {21,38}, {23,31}, {17,62}, {12,42}, {25,34}, {23,61}, {11,39}, {6,49}, {7,33}, {19,48}, {27,50}, {13,47}, {15,30}, {18,58}, {20,39}, {27,32}, {27,41}, {24,50}, {24,47}, {21,50}, {18,35}, {24,31}, {13,42}, {20,35}, {23,43}, {1,36}, {19,42}, {23,42}, {12,37}, {13,51}, {2,56}, {6,46}, {23,58}, {7,56}, {26,52}, {8,38}, {27,53}, {17,47}, {18,62}, {12,52}, {2,29}, {5,34}, {25,52}, {24,37}, {27,30}, {22,58}, {9,39}, {4,62}, {5,54}, {18,33}, {23,60}, {3,38}, {4,61}, {10,59}, {16,59}, {18,59}, {24,41}, {20,41}, {21,63}, {9,59}, {24,40}, {26,42}, {3,47}, {27,39}, {1,42}, {7,60}, {3,31}, {27,60}, {7,37}, {7,53}, {5,53}, {5,35}, {14,34}, {3,63}, {3,36}, {19,49}, {17,29}, {8,48}, {14,54}, {27,57}, {14,60}, {25,44}, {22,49}, {21,45}, {8,56}, {8,50}, {6,36}, {23,40}, {1,55}, {18,51}, {4,53}, {3,30}, {9,51}, {22,48}, {21,47}, {26,51}, {16,57}, {10,36}, {14,33}, {2,51}, {10,38}, {15,34}, {10,58}, {25,59}, {11,48}, {19,30}, {8,47}, {8,41}, {24,55}, {7,46}, {11,58}, {3,29}, {13,36}, {4,45}, {1,63}, {12,55}, {1,51}, {13,53}, {21,57}, {25,32}, {13,45}, {5,61}, {8,59}, {25,49}, {17,55}, {24,59}, {17,28}, {7,35}, {11,46}, {2,43}, {15,58}, {5,52}, {22,30}, {10,31}, {25,41}, {10,29}, {15,52}, {17,46}, {25,61}, {15,53}, {23,51}, {13,56}, {22,31}, {20,30}, {9,30}, {20,62}, {24,38}, {18,44}, {22,45}, {16,41}, {7,28}, {6,45}, {20,44}, {25,31}, {17,44}, {13,29}, {14,52}, {17,61}, {16,30}, {12,45}, {15,61}, {4,34}, {17,38}, {15,35}, {25,53}, {26,31}, {6,31}, {17,52}, {9,52}, {27,51}, {21,32}, {15,40}, {14,43}, {22,57}, {27,35}, {1,44}, {13,38}, {15,49}, {10,54}, {21,59}, {19,53}, {18,31}, {19,44}, {9,41}, {16,45}, {20,59}, {23,59}, {23,34}, {4,36}, {15,39}, {1,54}, {4,63}, {25,50}, {14,63}, {24,29}, {21,39}, {6,37}, {8,32}, {22,39}, {26,48}, {20,48}, {4,44}, {12,43}, {20,32}, {18,41}, {10,40}, {5,63}, {1,60}, {26,30}, {7,29}, {1,62}, {19,62}, {11,56}, {14,47}, {2,28}, {8,29}, {13,44}, {24,49}, {23,52}, {4,55}, {3,48}, {25,43}, {16,36}, {1,45}, {10,50}, {9,61}, {20,50}, {23,32}, {14,51}, {11,30}, {19,33}, {19,39}, {7,55}, {20,57}, {16,46}, {11,47}, {26,60}, {4,46}, {19,60}, {3,56}, {12,61}, {1,33}, {3,54}, {20,53}, {12,36}, {6,63}, {3,45}, {7,47}, {2,37}, {5,29}, {16,50}, {10,41}, {12,33}, {13,62}, {5,47}, {17,34}, {10,63}, {6,54}, {3,57}, {18,49}, {7,51}, {11,31}, {15,48}, {1,53}, {12,60}, {19,35}, {9,50}, {13,35}, {7,42}, {6,41}, {23,49}, {21,29}, {14,61}, {12,34}, {9,60}, {26,57}, {6,28}, {19,58}, {27,44}, {4,35}, {21,48}, {13,33}, {18,53}, {13,54}, {20,34}, {11,37}, {23,33}, {11,28}, {2,47}, {8,55}, {14,42}, {17,53}, {3,40}, {13,60}, {10,45}, {21,56}, {18,50}, {16,54}, {22,46}, {17,37}, {16,39}, {1,28}, {26,34}, {22,63}, {7,38}, {2,38}, {23,50}, {25,35}, {27,62}, {21,36}, {15,31}, {6,55}, {5,62}, {7,44}, {27,42}, {8,28}, {18,40}, {11,55}, {19,51}, {26,40}, {18,60}, {5,44}, {22,54}, {12,54}, {4,52}, {22,36}, {9,43}, {26,33}, {1,46}, {8,39}, {9,42}, {23,41}, {5,36}, {9,34}, {15,43}, {10,32}, {25,62}, {17,43}, {25,58}, {6,50}, {26,58}, {22,28}, {1,37}, {2,42}, {18,42}, {16,32}, {12,51}, {7,62}, {9,48}, {4,54}, {11,38}, {10,49}, {6,40} }; // ETB63.99 // Bipartite(27,36) Valencies [16,12] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1451188224 EdgesBipt[63][99]:={ {19,28}, {15,59}, {11,49}, {6,59}, {5,38}, {26,46}, {25,37}, {3,58}, {23,53}, {27,59}, {19,57}, {2,62}, {22,40}, {1,49}, {25,40}, {14,38}, {16,63}, {13,39}, {17,42}, {11,43}, {17,33}, {4,31}, {16,58}, {5,57}, {26,43}, {3,35}, {10,33}, {11,57}, {27,33}, {24,36}, {2,49}, {21,54}, {26,37}, {6,48}, {3,39}, {16,37}, {15,56}, {21,28}, {5,32}, {1,35}, {15,41}, {26,61}, {2,61}, {8,31}, {4,40}, {6,56}, {24,48}, {6,58}, {14,57}, {23,44}, {24,28}, {13,40}, {14,44}, {24,56}, {4,38}, {3,49}, {11,29}, {10,56}, {24,58}, {27,36}, {10,47}, {20,38}, {22,55}, {12,28}, {12,48}, {16,42}, {1,52}, {20,61}, {4,30}, {7,59}, {23,38}, {9,33}, {20,43}, {8,46}, {8,37}, {24,46}, {6,60}, {8,52}, {7,41}, {20,49}, {13,30}, {23,54}, {4,58}, {17,62}, {25,34}, {22,42}, {12,31}, {20,29}, {27,50}, {5,60}, {24,30}, {2,48}, {15,30}, {16,61}, {19,52}, {27,41}, {24,50}, {24,47}, {13,55}, {18,35}, {24,31}, {13,42}, {9,35}, {1,36}, {23,42}, {12,37}, {16,34}, {6,46}, {7,56}, {10,35}, {18,39}, {26,52}, {13,58}, {27,53}, {17,47}, {4,49}, {2,29}, {5,34}, {14,32}, {25,52}, {16,40}, {1,61}, {27,30}, {18,29}, {22,58}, {9,36}, {9,29}, {9,39}, {11,51}, {12,49}, {8,42}, {4,62}, {7,54}, {5,54}, {18,33}, {18,36}, {23,60}, {11,63}, {10,59}, {16,59}, {18,59}, {19,46}, {3,43}, {15,28}, {21,55}, {24,41}, {20,41}, {9,59}, {20,63}, {24,40}, {26,42}, {14,35}, {27,39}, {7,32}, {19,56}, {3,31}, {19,47}, {3,51}, {18,55}, {13,49}, {7,37}, {5,53}, {5,35}, {14,34}, {15,50}, {19,49}, {25,29}, {14,54}, {14,60}, {22,49}, {21,45}, {8,50}, {12,56}, {6,36}, {23,40}, {1,55}, {18,51}, {24,53}, {16,29}, {3,55}, {9,51}, {27,52}, {1,47}, {10,57}, {10,36}, {14,33}, {2,51}, {20,51}, {10,46}, {25,63}, {8,60}, {9,55}, {21,31}, {25,59}, {11,48}, {10,55}, {8,47}, {9,38}, {27,37}, {17,54}, {18,38}, {21,37}, {8,45}, {17,31}, {10,61}, {13,36}, {4,45}, {26,44}, {12,55}, {1,59}, {22,29}, {25,32}, {26,54}, {13,45}, {23,48}, {24,59}, {15,60}, {16,56}, {2,43}, {15,58}, {22,30}, {6,30}, {22,44}, {7,34}, {4,57}, {25,41}, {10,44}, {7,58}, {17,46}, {25,61}, {15,53}, {23,51}, {22,31}, {11,61}, {23,35}, {13,31}, {9,30}, {20,62}, {8,53}, {19,55}, {26,62}, {22,45}, {16,41}, {17,44}, {13,29}, {17,61}, {15,46}, {5,40}, {20,47}, {21,58}, {11,62}, {21,60}, {12,45}, {26,47}, {1,57}, {26,31}, {6,31}, {11,32}, {17,52}, {9,52}, {27,51}, {7,61}, {15,40}, {10,52}, {22,57}, {22,62}, {27,35}, {13,57}, {1,44}, {13,38}, {24,63}, {19,44}, {14,40}, {9,41}, {7,39}, {23,34}, {4,36}, {4,29}, {1,32}, {14,63}, {21,39}, {7,52}, {22,39}, {15,63}, {10,28}, {20,48}, {26,53}, {19,34}, {3,60}, {4,44}, {21,49}, {24,60}, {7,40}, {2,41}, {12,43}, {20,32}, {25,42}, {17,50}, {18,41}, {19,61}, {5,63}, {7,29}, {18,30}, {2,28}, {23,57}, {22,38}, {13,44}, {2,45}, {4,55}, {6,47}, {3,48}, {20,50}, {23,32}, {14,51}, {19,59}, {19,33}, {3,34}, {20,57}, {11,47}, {26,60}, {4,46}, {18,52}, {8,43}, {25,39}, {3,56}, {11,45}, {1,33}, {20,28}, {3,54}, {6,63}, {3,45}, {4,42}, {27,55}, {14,30}, {3,28}, {21,34}, {8,33}, {13,62}, {12,39}, {12,58}, {2,57}, {21,35}, {27,29}, {15,47}, {15,48}, {12,60}, {19,35}, {26,50}, {5,51}, {11,41}, {17,60}, {9,50}, {1,34}, {21,43}, {7,42}, {2,50}, {6,41}, {12,34}, {8,44}, {19,36}, {23,30}, {6,28}, {21,48}, {21,51}, {19,32}, {16,62}, {18,43}, {18,53}, {1,56}, {20,45}, {23,33}, {11,28}, {2,47}, {14,42}, {10,34}, {17,53}, {8,61}, {8,54}, {21,56}, {17,45}, {18,50}, {16,54}, {22,46}, {16,39}, {17,37}, {1,28}, {16,52}, {7,63}, {5,42}, {2,38}, {15,36}, {2,63}, {15,31}, {8,62}, {6,53}, {27,43}, {5,44}, {12,54}, {25,54}, {9,53}, {22,36}, {9,43}, {26,33}, {14,53}, {1,46}, {3,37}, {10,32}, {13,46}, {4,39}, {25,62}, {12,35}, {11,50}, {17,43}, {25,58}, {6,50}, {14,48}, {16,32}, {23,63}, {26,45}, {2,32}, {12,51}, {7,62}, {25,56}, {5,48}, {5,33}, {18,37}, {5,30}, {11,38}, {10,49}, {9,37}, {27,38}, {6,40} }; // ETB63.100 // Bipartite(27,36) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 113246208 EdgesBipt[63][100]:={ {24,34}, {15,33}, {6,52}, {6,38}, {10,37}, {8,57}, {9,32}, {16,51}, {25,37}, {5,43}, {2,55}, {23,53}, {27,59}, {11,59}, {8,51}, {5,45}, {2,60}, {1,49}, {25,40}, {16,63}, {13,39}, {15,44}, {15,54}, {8,40}, {16,58}, {5,57}, {3,35}, {20,46}, {21,30}, {13,63}, {11,57}, {14,31}, {24,54}, {21,41}, {24,36}, {17,56}, {10,39}, {16,28}, {20,58}, {1,35}, {4,51}, {2,61}, {8,31}, {6,56}, {24,48}, {14,57}, {10,48}, {23,44}, {24,28}, {27,56}, {15,62}, {3,49}, {11,29}, {6,29}, {19,40}, {2,34}, {22,55}, {12,28}, {19,31}, {22,37}, {26,38}, {16,42}, {16,48}, {1,52}, {18,32}, {15,32}, {2,52}, {20,61}, {16,49}, {7,59}, {12,46}, {9,33}, {20,43}, {13,59}, {8,37}, {26,39}, {24,46}, {8,52}, {16,60}, {21,38}, {12,38}, {7,41}, {20,49}, {23,31}, {17,59}, {17,62}, {25,34}, {23,61}, {11,39}, {26,29}, {7,33}, {12,31}, {3,52}, {12,40}, {20,29}, {5,60}, {24,30}, {15,30}, {16,61}, {5,37}, {19,52}, {27,41}, {26,35}, {18,35}, {24,31}, {24,45}, {13,42}, {23,43}, {1,29}, {19,42}, {12,37}, {6,46}, {23,58}, {16,43}, {7,56}, {15,45}, {6,44}, {18,39}, {27,61}, {9,62}, {18,57}, {27,53}, {17,47}, {9,47}, {18,47}, {2,36}, {8,49}, {13,41}, {25,52}, {16,40}, {26,36}, {1,61}, {22,34}, {18,29}, {6,34}, {1,43}, {9,29}, {11,51}, {12,49}, {8,42}, {4,62}, {7,54}, {18,33}, {18,36}, {3,38}, {5,28}, {18,56}, {14,46}, {20,41}, {21,63}, {2,39}, {9,59}, {26,63}, {3,47}, {21,62}, {7,32}, {27,40}, {7,60}, {1,31}, {3,31}, {7,53}, {11,42}, {15,50}, {19,49}, {17,29}, {11,60}, {14,60}, {4,32}, {4,60}, {22,49}, {21,45}, {14,28}, {12,56}, {12,47}, {23,40}, {18,51}, {4,53}, {3,55}, {9,51}, {27,52}, {1,47}, {10,57}, {22,48}, {21,47}, {10,36}, {14,33}, {10,46}, {11,33}, {8,60}, {17,58}, {14,39}, {25,59}, {11,48}, {10,55}, {4,41}, {27,37}, {18,38}, {3,29}, {10,61}, {13,36}, {4,45}, {26,44}, {12,55}, {13,53}, {21,57}, {25,32}, {12,41}, {18,54}, {26,54}, {13,45}, {20,31}, {5,61}, {25,49}, {17,55}, {17,28}, {21,42}, {7,35}, {19,45}, {2,43}, {22,30}, {27,34}, {4,33}, {7,50}, {25,41}, {17,46}, {15,53}, {13,56}, {22,31}, {23,35}, {9,30}, {5,39}, {20,62}, {3,32}, {26,62}, {20,44}, {25,31}, {17,44}, {8,34}, {17,61}, {10,30}, {5,40}, {20,47}, {4,50}, {16,30}, {21,60}, {26,47}, {17,38}, {15,35}, {12,29}, {25,53}, {11,32}, {10,52}, {22,57}, {27,35}, {13,57}, {14,37}, {1,44}, {13,38}, {24,63}, {10,54}, {21,59}, {27,58}, {14,40}, {24,43}, {9,41}, {16,31}, {16,45}, {25,38}, {20,59}, {23,59}, {7,39}, {23,34}, {4,36}, {1,32}, {9,44}, {4,63}, {22,52}, {25,50}, {4,59}, {21,39}, {6,43}, {6,37}, {22,39}, {24,51}, {15,63}, {10,28}, {26,48}, {26,53}, {19,34}, {4,44}, {2,54}, {12,50}, {17,41}, {20,32}, {3,53}, {19,61}, {5,63}, {14,55}, {26,30}, {1,62}, {11,56}, {18,30}, {8,36}, {14,58}, {13,44}, {24,49}, {2,45}, {23,52}, {5,46}, {6,47}, {20,50}, {23,32}, {14,51}, {11,30}, {3,50}, {19,33}, {3,34}, {19,43}, {16,46}, {15,29}, {11,47}, {19,60}, {3,56}, {20,28}, {5,58}, {8,58}, {2,37}, {4,42}, {27,55}, {14,30}, {3,28}, {8,33}, {13,62}, {23,62}, {12,58}, {2,57}, {10,63}, {15,47}, {14,49}, {7,51}, {22,33}, {21,44}, {15,48}, {1,53}, {24,52}, {11,41}, {9,50}, {1,34}, {22,51}, {13,35}, {7,42}, {23,49}, {21,29}, {24,61}, {17,40}, {9,60}, {19,36}, {26,57}, {6,28}, {19,58}, {27,44}, {4,35}, {21,48}, {15,51}, {18,53}, {13,54}, {1,50}, {8,55}, {5,55}, {14,42}, {10,34}, {16,33}, {13,60}, {10,45}, {2,40}, {8,54}, {21,56}, {9,45}, {12,59}, {18,50}, {9,63}, {22,46}, {17,37}, {1,28}, {7,38}, {5,42}, {19,63}, {23,50}, {12,32}, {15,36}, {25,35}, {27,62}, {10,43}, {2,63}, {6,55}, {6,53}, {6,62}, {19,51}, {27,43}, {20,40}, {22,54}, {22,36}, {1,46}, {3,37}, {8,39}, {9,42}, {23,41}, {25,55}, {24,33}, {7,36}, {6,35}, {11,50}, {17,43}, {25,58}, {14,48}, {22,28}, {26,56}, {2,42}, {6,61}, {7,57}, {26,45}, {18,48}, {25,56}, {3,46}, {9,48}, {19,54}, {5,48}, {2,58}, {5,30}, {4,54}, {11,38}, {27,38} }; // ETB63.101 // Bipartite(27,36) Valencies [16,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 56623104 EdgesBipt[63][101]:={ {15,33}, {6,52}, {6,38}, {10,37}, {11,49}, {9,32}, {23,29}, {26,46}, {16,51}, {5,43}, {2,55}, {25,47}, {11,59}, {8,51}, {25,57}, {2,62}, {2,60}, {8,63}, {22,40}, {13,37}, {1,40}, {14,38}, {16,63}, {13,39}, {17,42}, {14,50}, {16,58}, {3,35}, {20,46}, {10,33}, {11,57}, {14,31}, {21,41}, {14,56}, {17,56}, {10,39}, {26,37}, {6,48}, {19,37}, {20,37}, {20,58}, {2,61}, {4,37}, {4,40}, {2,46}, {6,56}, {24,48}, {24,28}, {27,56}, {17,35}, {4,38}, {3,49}, {21,53}, {11,29}, {15,57}, {10,42}, {19,40}, {20,38}, {22,55}, {22,37}, {21,40}, {16,42}, {18,32}, {15,32}, {23,45}, {4,30}, {7,59}, {8,30}, {9,33}, {8,46}, {26,39}, {27,28}, {24,46}, {17,39}, {16,60}, {7,41}, {20,49}, {26,55}, {23,31}, {17,59}, {4,58}, {17,62}, {12,42}, {6,39}, {23,61}, {11,39}, {6,49}, {22,42}, {7,33}, {12,31}, {3,52}, {20,29}, {23,28}, {13,47}, {24,30}, {15,30}, {18,58}, {19,52}, {13,55}, {9,56}, {24,31}, {24,45}, {23,43}, {23,42}, {16,34}, {6,46}, {23,58}, {7,56}, {26,52}, {27,61}, {20,55}, {27,53}, {18,62}, {9,47}, {2,29}, {5,34}, {18,47}, {1,38}, {14,32}, {16,40}, {10,51}, {26,36}, {1,61}, {18,29}, {22,58}, {9,36}, {6,34}, {1,43}, {9,29}, {12,49}, {4,62}, {7,54}, {5,54}, {18,33}, {6,51}, {22,43}, {23,60}, {10,59}, {18,59}, {15,28}, {5,28}, {24,41}, {20,41}, {21,63}, {27,45}, {2,39}, {26,63}, {14,35}, {3,47}, {7,32}, {19,56}, {19,38}, {3,31}, {1,39}, {13,49}, {7,53}, {11,42}, {17,57}, {14,34}, {3,63}, {15,50}, {25,29}, {8,48}, {11,60}, {14,60}, {25,44}, {4,60}, {2,44}, {1,30}, {21,45}, {8,50}, {21,61}, {23,40}, {18,51}, {3,30}, {9,51}, {27,52}, {10,57}, {10,36}, {15,37}, {20,51}, {9,55}, {21,31}, {11,48}, {10,55}, {9,38}, {27,37}, {8,45}, {3,29}, {13,36}, {3,62}, {1,41}, {4,45}, {1,63}, {26,44}, {1,59}, {13,53}, {9,54}, {12,41}, {26,54}, {3,44}, {4,47}, {20,31}, {5,61}, {27,63}, {24,59}, {7,35}, {15,60}, {25,30}, {2,43}, {15,58}, {5,52}, {27,34}, {6,30}, {7,50}, {10,31}, {7,58}, {25,61}, {13,50}, {13,31}, {9,30}, {8,53}, {19,55}, {3,32}, {18,44}, {26,62}, {22,45}, {17,44}, {19,41}, {13,29}, {14,52}, {15,46}, {20,47}, {21,58}, {23,47}, {17,38}, {25,53}, {1,57}, {6,31}, {11,32}, {17,52}, {22,53}, {9,52}, {15,40}, {10,52}, {22,57}, {27,35}, {13,57}, {14,37}, {24,63}, {10,54}, {21,59}, {19,44}, {14,40}, {1,48}, {16,45}, {25,38}, {20,59}, {7,39}, {15,39}, {4,29}, {4,63}, {17,63}, {8,32}, {22,39}, {24,51}, {6,57}, {26,48}, {5,31}, {19,34}, {18,61}, {16,44}, {4,44}, {21,49}, {24,60}, {7,40}, {2,41}, {12,50}, {17,41}, {12,43}, {3,53}, {18,41}, {19,61}, {14,55}, {27,46}, {26,30}, {19,62}, {11,56}, {18,30}, {2,28}, {21,52}, {8,36}, {14,58}, {24,49}, {5,46}, {4,55}, {3,48}, {25,43}, {16,36}, {13,32}, {1,45}, {23,32}, {19,59}, {11,30}, {3,50}, {3,34}, {19,43}, {11,47}, {27,47}, {25,36}, {8,43}, {25,39}, {12,61}, {12,62}, {20,28}, {21,33}, {12,36}, {3,45}, {26,28}, {12,44}, {2,37}, {4,42}, {5,29}, {16,50}, {12,53}, {27,55}, {10,41}, {21,34}, {8,33}, {5,47}, {2,57}, {17,34}, {21,35}, {15,55}, {27,29}, {7,51}, {14,49}, {11,31}, {20,33}, {15,48}, {12,60}, {5,51}, {11,41}, {17,60}, {9,50}, {15,42}, {13,35}, {21,43}, {23,49}, {24,44}, {19,36}, {26,57}, {6,28}, {19,58}, {21,51}, {16,62}, {18,43}, {15,51}, {23,46}, {5,49}, {1,56}, {13,54}, {10,60}, {2,47}, {14,42}, {10,34}, {16,33}, {17,53}, {8,61}, {8,35}, {8,54}, {17,45}, {12,59}, {18,50}, {16,54}, {13,28}, {1,28}, {26,34}, {20,56}, {16,52}, {22,63}, {7,38}, {2,59}, {23,50}, {12,32}, {24,62}, {25,35}, {22,35}, {6,53}, {5,62}, {8,28}, {18,40}, {24,42}, {27,43}, {20,40}, {5,44}, {22,54}, {12,54}, {25,54}, {22,36}, {14,53}, {1,46}, {5,36}, {9,34}, {24,33}, {13,46}, {25,48}, {25,62}, {12,35}, {7,36}, {6,35}, {11,50}, {22,60}, {1,58}, {2,42}, {16,32}, {4,48}, {22,61}, {7,57}, {23,63}, {26,45}, {6,33}, {18,48}, {25,56}, {9,48}, {19,54}, {5,33}, {4,56}, {11,38}, {10,49}, {9,37}, {27,38} }; // ETB63.102 // Bipartite(9,54) Valencies [18,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 164403361698604618736518299648000000 EdgesBipt[63][102]:={ {6,48}, {8,48}, {2,33}, {2,46}, {7,15}, {4,24}, {8,12}, {3,22}, {3,40}, {1,10}, {4,30}, {8,30}, {5,55}, {1,13}, {5,38}, {2,51}, {7,38}, {8,42}, {8,54}, {7,44}, {1,40}, {2,15}, {4,19}, {5,56}, {9,44}, {4,31}, {1,19}, {2,27}, {3,58}, {3,35}, {5,20}, {7,63}, {7,51}, {3,52}, {9,53}, {2,28}, {5,32}, {9,35}, {9,11}, {3,17}, {2,45}, {6,21}, {3,34}, {3,46}, {4,60}, {2,34}, {7,56}, {9,47}, {7,57}, {9,29}, {7,20}, {1,55}, {9,32}, {5,50}, {9,26}, {9,62}, {2,10}, {8,41}, {8,47}, {2,52}, {5,43}, {7,39}, {4,42}, {5,25}, {9,41}, {2,39}, {7,32}, {1,31}, {8,60}, {1,61}, {9,14}, {1,22}, {6,12}, {6,30}, {6,63}, {6,60}, {2,57}, {6,18}, {9,50}, {5,61}, {7,50}, {8,17}, {2,16}, {7,26}, {6,33}, {8,36}, {6,24}, {8,11}, {9,56}, {4,48}, {8,53}, {5,49}, {1,58}, {8,35}, {5,14}, {4,55}, {9,20}, {1,28}, {4,13}, {3,11}, {7,14}, {4,54}, {4,43}, {7,62}, {3,29}, {3,10}, {1,43}, {1,52}, {6,15}, {4,36}, {6,51}, {5,31}, {6,27}, {1,49}, {5,44}, {3,23}, {8,23}, {1,25}, {1,46}, {6,54}, {1,37}, {3,16}, {4,37}, {6,42}, {3,53}, {6,36}, {2,21}, {6,45}, {2,22}, {1,16}, {9,17}, {8,24}, {4,49}, {2,40}, {5,26}, {2,58}, {8,18}, {4,18}, {9,38}, {4,25}, {4,12}, {5,13}, {3,28}, {7,27}, {7,45}, {3,41}, {6,39}, {7,33}, {3,47}, {5,19}, {3,59}, {4,61}, {1,34}, {9,59}, {5,37}, {5,62}, {2,63}, {9,23}, {7,21}, {8,59}, {8,29}, {6,57} }; // ETB63.103 // Bipartite(9,54) Valencies [18,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5615859363936731136000000000 EdgesBipt[63][103]:={ {2,44}, {3,33}, {3,60}, {4,27}, {5,34}, {4,24}, {2,56}, {1,10}, {4,30}, {7,48}, {6,17}, {2,23}, {1,13}, {5,38}, {9,45}, {7,55}, {8,42}, {8,33}, {3,15}, {7,44}, {1,40}, {5,56}, {1,19}, {5,47}, {5,20}, {3,37}, {9,43}, {2,26}, {2,62}, {2,41}, {2,14}, {8,15}, {8,31}, {6,22}, {7,12}, {3,46}, {6,40}, {6,31}, {4,60}, {7,57}, {6,58}, {3,14}, {1,55}, {9,32}, {9,27}, {5,11}, {5,29}, {2,38}, {8,47}, {5,43}, {7,46}, {7,39}, {4,42}, {5,25}, {9,41}, {1,31}, {8,60}, {4,45}, {1,61}, {2,53}, {9,14}, {2,35}, {9,63}, {1,22}, {2,59}, {6,63}, {4,33}, {4,21}, {9,54}, {9,34}, {6,49}, {3,51}, {2,20}, {6,18}, {9,50}, {5,61}, {7,30}, {7,53}, {3,32}, {9,25}, {7,26}, {2,32}, {4,57}, {5,30}, {6,44}, {7,17}, {8,11}, {4,48}, {8,13}, {8,22}, {1,58}, {5,48}, {8,56}, {4,15}, {1,28}, {3,50}, {4,54}, {7,62}, {3,10}, {1,43}, {1,52}, {2,17}, {4,36}, {5,12}, {3,19}, {8,58}, {6,27}, {1,49}, {6,26}, {8,40}, {3,23}, {1,25}, {1,46}, {6,54}, {6,62}, {2,11}, {1,37}, {5,39}, {7,28}, {6,36}, {9,18}, {4,51}, {3,24}, {2,29}, {6,45}, {8,38}, {1,16}, {8,24}, {2,47}, {9,36}, {3,55}, {8,49}, {3,42}, {4,18}, {4,12}, {9,52}, {9,61}, {3,28}, {8,20}, {7,10}, {3,41}, {8,51}, {7,35}, {5,21}, {3,59}, {6,53}, {6,13}, {7,37}, {1,34}, {9,59}, {7,19}, {6,35}, {9,16}, {4,39}, {9,23}, {7,21}, {4,63}, {8,29}, {5,52}, {5,57}, {2,50}, {5,16} }; // ETB63.104 // Bipartite(9,54) Valencies [18,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10968475320188928 EdgesBipt[63][104]:={ {3,33}, {2,24}, {5,17}, {6,16}, {4,26}, {1,10}, {4,30}, {7,48}, {5,55}, {1,13}, {5,38}, {9,45}, {9,55}, {3,45}, {8,33}, {3,43}, {3,25}, {3,15}, {7,54}, {5,56}, {7,22}, {4,62}, {5,47}, {5,20}, {7,63}, {8,39}, {7,36}, {3,52}, {2,14}, {3,61}, {8,15}, {8,44}, {4,23}, {8,31}, {2,42}, {3,18}, {7,58}, {3,63}, {3,34}, {7,12}, {4,10}, {2,34}, {1,17}, {9,48}, {4,22}, {1,18}, {7,11}, {3,14}, {9,27}, {5,11}, {1,44}, {4,41}, {5,29}, {9,19}, {2,52}, {8,14}, {9,41}, {2,39}, {1,31}, {1,61}, {9,63}, {6,55}, {6,43}, {4,21}, {6,60}, {3,51}, {2,57}, {4,59}, {7,30}, {2,16}, {7,53}, {3,32}, {2,32}, {4,57}, {6,24}, {7,17}, {6,46}, {9,56}, {5,24}, {9,37}, {4,48}, {5,49}, {8,13}, {8,56}, {9,20}, {1,28}, {6,61}, {3,50}, {3,27}, {9,51}, {4,28}, {6,23}, {1,43}, {4,46}, {8,26}, {5,42}, {8,57}, {7,47}, {8,32}, {8,21}, {5,31}, {1,49}, {8,62}, {1,25}, {6,19}, {9,12}, {1,46}, {4,58}, {1,53}, {7,29}, {6,41}, {6,28}, {2,11}, {9,30}, {1,35}, {3,16}, {5,60}, {6,42}, {4,40}, {2,21}, {2,29}, {8,38}, {1,26}, {2,22}, {8,50}, {1,62}, {2,47}, {6,25}, {2,40}, {9,33}, {6,34}, {6,10}, {8,49}, {2,58}, {6,52}, {9,38}, {4,12}, {5,13}, {8,20}, {7,27}, {7,45}, {3,54}, {6,59}, {8,51}, {6,37}, {5,19}, {7,35}, {9,15}, {5,35}, {1,54}, {2,60}, {9,59}, {5,37}, {3,36}, {4,39}, {7,40}, {4,44}, {9,23}, {1,36}, {5,53}, {2,50}, {7,18} }; // ETB63.105 // Bipartite(9,54) Valencies [18,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 173946175488 EdgesBipt[63][105]:={ {2,44}, {8,48}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {4,27}, {7,15}, {5,34}, {4,24}, {3,22}, {2,56}, {4,16}, {1,10}, {4,30}, {8,43}, {1,13}, {2,51}, {7,38}, {8,54}, {3,25}, {7,41}, {7,44}, {1,40}, {2,15}, {5,56}, {7,22}, {8,52}, {9,49}, {3,58}, {3,35}, {5,47}, {5,20}, {2,26}, {3,52}, {8,25}, {5,32}, {9,35}, {8,31}, {8,27}, {2,42}, {6,29}, {3,17}, {8,16}, {3,63}, {4,38}, {7,12}, {5,40}, {4,10}, {1,50}, {3,49}, {1,18}, {7,11}, {3,14}, {1,55}, {9,32}, {5,50}, {9,27}, {9,62}, {5,29}, {2,38}, {8,47}, {9,19}, {7,46}, {7,39}, {4,45}, {7,49}, {7,13}, {2,53}, {9,63}, {3,44}, {6,55}, {6,30}, {6,63}, {5,23}, {4,21}, {9,54}, {6,60}, {9,34}, {6,18}, {2,48}, {5,61}, {6,33}, {4,57}, {6,50}, {1,23}, {6,24}, {7,17}, {4,48}, {5,46}, {8,53}, {1,45}, {6,56}, {8,35}, {1,28}, {6,61}, {7,14}, {4,54}, {4,43}, {6,23}, {1,43}, {8,26}, {5,42}, {1,52}, {9,22}, {2,17}, {6,51}, {8,32}, {8,21}, {9,57}, {8,58}, {5,59}, {3,62}, {8,62}, {1,25}, {9,12}, {6,28}, {2,11}, {9,30}, {1,37}, {4,37}, {6,36}, {2,21}, {4,51}, {2,29}, {6,45}, {1,16}, {1,47}, {2,31}, {9,36}, {6,34}, {3,55}, {5,26}, {2,58}, {4,18}, {9,39}, {4,11}, {4,12}, {9,61}, {5,13}, {8,20}, {3,28}, {7,10}, {1,41}, {3,41}, {3,31}, {1,14}, {9,46}, {5,15}, {5,19}, {7,37}, {2,60}, {9,59}, {7,19}, {3,36}, {4,39}, {7,40}, {7,42}, {8,59}, {6,57}, {5,53} }; // ETB63.106 // Bipartite(21,42) Valencies [18,9] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4717321865706854154240000000 EdgesBipt[63][106]:={ {6,52}, {7,48}, {6,38}, {11,40}, {16,47}, {8,57}, {11,49}, {6,59}, {5,22}, {16,51}, {19,26}, {11,25}, {4,28}, {5,43}, {8,51}, {19,57}, {12,22}, {15,44}, {10,62}, {5,57}, {16,58}, {21,30}, {13,63}, {21,41}, {11,53}, {14,56}, {8,23}, {10,39}, {3,39}, {16,37}, {21,28}, {7,30}, {2,61}, {4,40}, {20,52}, {13,43}, {6,56}, {10,48}, {14,44}, {2,33}, {11,35}, {15,57}, {6,29}, {19,40}, {20,38}, {12,48}, {18,32}, {2,52}, {15,32}, {8,30}, {9,33}, {20,43}, {13,59}, {8,46}, {8,37}, {20,24}, {5,41}, {17,39}, {7,41}, {20,49}, {12,26}, {17,59}, {7,27}, {17,62}, {19,22}, {14,62}, {11,39}, {6,49}, {3,52}, {12,40}, {19,48}, {20,29}, {13,24}, {15,30}, {16,61}, {18,35}, {13,42}, {20,35}, {1,36}, {1,29}, {7,56}, {18,39}, {9,47}, {4,49}, {5,50}, {6,24}, {5,34}, {18,47}, {18,46}, {20,36}, {16,40}, {20,42}, {8,22}, {1,43}, {18,26}, {5,54}, {18,33}, {3,38}, {11,63}, {4,61}, {10,59}, {5,27}, {16,59}, {18,56}, {21,55}, {21,63}, {9,59}, {20,63}, {14,35}, {21,62}, {3,31}, {12,27}, {19,47}, {1,39}, {13,49}, {7,37}, {2,30}, {11,42}, {9,58}, {14,34}, {15,50}, {11,60}, {4,32}, {4,60}, {2,44}, {1,30}, {19,27}, {8,50}, {14,28}, {12,47}, {6,36}, {4,53}, {3,55}, {9,51}, {2,24}, {3,24}, {2,51}, {15,37}, {14,23}, {10,38}, {10,46}, {11,33}, {8,60}, {10,55}, {9,38}, {9,26}, {21,37}, {3,59}, {17,31}, {13,36}, {3,62}, {2,23}, {20,22}, {12,55}, {1,51}, {9,54}, {15,23}, {12,41}, {18,54}, {4,47}, {13,45}, {20,31}, {5,61}, {3,25}, {17,55}, {21,42}, {7,35}, {11,46}, {15,60}, {15,58}, {4,33}, {1,22}, {7,34}, {10,31}, {9,31}, {7,58}, {18,25}, {17,46}, {13,22}, {15,53}, {13,56}, {1,25}, {13,50}, {11,61}, {13,31}, {9,30}, {8,53}, {19,55}, {3,32}, {14,27}, {7,28}, {6,45}, {19,41}, {13,29}, {15,46}, {5,40}, {21,58}, {7,23}, {16,30}, {6,22}, {10,25}, {17,38}, {12,29}, {1,57}, {6,31}, {11,32}, {17,52}, {9,52}, {11,54}, {16,26}, {10,52}, {19,50}, {13,57}, {14,37}, {1,44}, {13,38}, {7,49}, {16,31}, {16,45}, {20,59}, {3,41}, {15,39}, {1,32}, {9,44}, {4,63}, {14,63}, {19,29}, {6,43}, {8,32}, {6,57}, {9,24}, {17,25}, {19,34}, {3,60}, {18,61}, {16,44}, {2,54}, {21,49}, {12,50}, {17,41}, {12,43}, {2,26}, {3,53}, {19,61}, {14,55}, {1,60}, {19,62}, {11,56}, {8,29}, {9,23}, {8,36}, {14,58}, {2,45}, {3,48}, {9,61}, {20,50}, {14,51}, {19,33}, {3,34}, {19,43}, {7,55}, {20,57}, {18,28}, {15,29}, {11,47}, {4,46}, {8,43}, {2,31}, {12,61}, {12,62}, {16,38}, {20,28}, {8,58}, {12,36}, {6,63}, {3,45}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {21,34}, {12,33}, {5,47}, {17,34}, {21,35}, {18,49}, {7,51}, {14,49}, {21,44}, {1,53}, {17,60}, {13,35}, {7,42}, {21,27}, {10,53}, {17,24}, {12,34}, {8,44}, {19,36}, {6,28}, {6,42}, {16,23}, {4,35}, {21,48}, {21,51}, {15,51}, {18,53}, {20,45}, {1,50}, {10,60}, {11,28}, {2,47}, {1,23}, {10,24}, {14,42}, {5,55}, {10,27}, {10,34}, {16,33}, {17,53}, {10,45}, {17,27}, {2,40}, {21,56}, {15,22}, {17,45}, {9,45}, {14,41}, {4,26}, {12,57}, {16,54}, {18,63}, {13,28}, {20,56}, {16,24}, {16,52}, {3,27}, {7,63}, {2,38}, {2,59}, {15,36}, {5,62}, {7,44}, {18,40}, {9,40}, {18,60}, {12,54}, {1,46}, {8,39}, {5,36}, {10,32}, {15,43}, {4,39}, {6,35}, {17,32}, {13,52}, {6,50}, {14,48}, {1,37}, {1,58}, {8,25}, {18,42}, {7,62}, {11,26}, {3,46}, {19,54}, {5,48}, {17,48}, {15,25}, {2,58}, {5,33}, {4,56}, {4,54}, {9,37}, {21,23} }; // ETB63.107 // Bipartite(21,42) Valencies [18,9] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 921351926895869952 EdgesBipt[63][107]:={ {6,52}, {15,33}, {7,48}, {6,38}, {19,28}, {10,37}, {15,59}, {6,25}, {5,38}, {5,56}, {16,51}, {11,25}, {4,28}, {5,43}, {3,58}, {5,59}, {19,57}, {5,45}, {2,62}, {8,63}, {8,26}, {1,49}, {1,40}, {16,22}, {13,39}, {3,61}, {11,43}, {15,54}, {17,33}, {8,40}, {5,57}, {16,58}, {3,35}, {20,46}, {10,33}, {21,30}, {11,57}, {14,31}, {21,41}, {11,53}, {14,56}, {3,23}, {10,39}, {14,45}, {6,48}, {3,39}, {16,37}, {19,37}, {21,28}, {5,32}, {1,35}, {7,30}, {8,31}, {20,52}, {13,27}, {13,40}, {14,44}, {6,32}, {17,35}, {3,49}, {11,29}, {11,27}, {10,47}, {20,38}, {2,34}, {20,26}, {12,28}, {19,31}, {4,43}, {16,48}, {15,32}, {7,59}, {12,46}, {7,45}, {8,46}, {9,57}, {20,24}, {6,60}, {17,39}, {12,38}, {7,41}, {7,27}, {12,42}, {6,39}, {14,62}, {11,39}, {12,31}, {3,52}, {13,24}, {5,60}, {2,48}, {12,23}, {20,39}, {5,37}, {19,52}, {13,55}, {1,36}, {19,42}, {12,37}, {16,34}, {6,46}, {7,56}, {10,35}, {15,45}, {16,43}, {18,39}, {9,62}, {18,57}, {20,55}, {13,26}, {17,47}, {12,52}, {6,24}, {2,29}, {18,47}, {1,26}, {2,36}, {8,49}, {13,41}, {16,40}, {10,51}, {8,22}, {1,61}, {18,29}, {9,36}, {6,34}, {9,29}, {4,22}, {18,33}, {18,36}, {3,38}, {4,61}, {19,46}, {5,28}, {18,56}, {21,55}, {20,41}, {21,63}, {14,35}, {3,47}, {21,62}, {12,24}, {19,56}, {19,38}, {1,31}, {3,51}, {11,22}, {18,55}, {6,27}, {2,30}, {11,42}, {9,58}, {14,34}, {3,63}, {15,50}, {19,23}, {20,25}, {2,44}, {21,45}, {8,50}, {14,28}, {12,56}, {4,53}, {16,29}, {11,36}, {3,30}, {13,48}, {9,51}, {1,47}, {16,57}, {3,24}, {2,51}, {10,38}, {10,58}, {11,33}, {18,22}, {8,60}, {13,25}, {17,51}, {17,58}, {21,31}, {8,47}, {4,41}, {9,26}, {8,45}, {10,61}, {2,23}, {1,63}, {1,59}, {13,53}, {9,54}, {9,22}, {20,54}, {3,44}, {4,47}, {8,59}, {3,25}, {19,24}, {21,42}, {7,35}, {19,45}, {15,60}, {2,43}, {5,52}, {4,33}, {1,22}, {7,34}, {4,57}, {10,44}, {7,58}, {18,25}, {11,61}, {9,30}, {20,62}, {14,27}, {7,28}, {17,44}, {17,61}, {15,46}, {17,30}, {10,30}, {4,50}, {21,58}, {16,30}, {12,45}, {15,61}, {10,25}, {15,35}, {17,38}, {12,29}, {17,52}, {16,26}, {10,52}, {15,40}, {13,38}, {15,49}, {21,59}, {7,49}, {4,36}, {4,29}, {9,44}, {1,32}, {1,54}, {14,63}, {20,60}, {19,29}, {17,63}, {8,32}, {15,63}, {5,31}, {17,25}, {20,48}, {18,61}, {16,44}, {2,54}, {21,49}, {5,23}, {12,43}, {20,32}, {2,26}, {3,53}, {18,41}, {14,55}, {1,60}, {11,56}, {9,23}, {8,36}, {14,58}, {5,46}, {4,55}, {3,33}, {16,36}, {13,32}, {1,45}, {19,59}, {4,27}, {19,43}, {7,55}, {18,28}, {5,24}, {2,22}, {11,47}, {14,59}, {19,60}, {1,33}, {18,27}, {20,53}, {2,37}, {4,42}, {5,29}, {16,50}, {4,25}, {14,30}, {21,34}, {7,31}, {8,33}, {13,62}, {2,57}, {6,54}, {10,63}, {20,27}, {21,35}, {14,49}, {15,47}, {21,44}, {12,60}, {5,51}, {13,34}, {11,41}, {9,50}, {6,26}, {7,42}, {2,50}, {21,27}, {6,41}, {10,53}, {17,24}, {16,23}, {21,48}, {19,32}, {16,62}, {18,43}, {18,53}, {13,54}, {20,34}, {1,50}, {11,28}, {10,24}, {14,42}, {17,53}, {13,60}, {8,61}, {8,35}, {2,40}, {8,54}, {21,56}, {15,22}, {14,41}, {12,59}, {18,50}, {12,57}, {16,54}, {17,37}, {7,63}, {5,42}, {12,32}, {15,36}, {15,31}, {6,55}, {6,53}, {7,44}, {9,40}, {6,62}, {11,55}, {19,51}, {20,40}, {17,23}, {10,23}, {15,26}, {9,43}, {1,46}, {3,37}, {9,34}, {13,46}, {4,39}, {11,50}, {13,52}, {14,48}, {18,42}, {12,51}, {7,62}, {17,49}, {9,48}, {2,58}, {4,56}, {10,49}, {9,37}, {6,40} }; // ETB63.108 // Bipartite(18,45) Valencies [20,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 4320 EdgesBipt[63][108]:={ {6,52}, {11,40}, {6,59}, {9,32}, {5,56}, {4,28}, {8,51}, {5,45}, {2,62}, {8,63}, {8,26}, {13,37}, {1,40}, {16,22}, {17,42}, {15,44}, {17,33}, {8,40}, {16,58}, {10,33}, {8,21}, {13,63}, {14,31}, {16,55}, {2,49}, {3,23}, {17,56}, {3,21}, {14,45}, {3,39}, {16,37}, {4,51}, {15,41}, {8,31}, {4,40}, {13,43}, {14,29}, {2,33}, {6,32}, {3,49}, {11,35}, {11,29}, {15,57}, {11,27}, {12,48}, {4,24}, {16,42}, {18,32}, {7,59}, {8,37}, {9,57}, {12,20}, {8,52}, {16,60}, {12,38}, {12,26}, {17,62}, {6,39}, {11,39}, {6,49}, {17,20}, {17,26}, {13,24}, {5,60}, {2,48}, {15,30}, {12,23}, {13,55}, {16,25}, {13,42}, {1,36}, {13,51}, {2,56}, {6,46}, {7,56}, {10,35}, {15,45}, {16,43}, {4,23}, {13,58}, {8,38}, {9,62}, {17,47}, {18,62}, {9,47}, {18,47}, {18,46}, {13,41}, {8,22}, {6,34}, {1,43}, {9,20}, {18,26}, {5,54}, {18,36}, {8,19}, {11,63}, {3,38}, {5,27}, {16,59}, {18,59}, {3,43}, {15,28}, {2,39}, {9,59}, {9,46}, {14,35}, {3,47}, {1,42}, {7,32}, {3,31}, {12,27}, {11,22}, {18,55}, {7,37}, {6,27}, {7,53}, {2,30}, {5,35}, {3,36}, {17,29}, {8,48}, {11,60}, {14,54}, {14,60}, {7,19}, {4,32}, {4,60}, {8,56}, {11,21}, {6,36}, {1,55}, {16,29}, {3,30}, {3,55}, {10,57}, {2,51}, {10,58}, {11,33}, {17,58}, {14,39}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {9,26}, {18,20}, {18,38}, {7,46}, {8,45}, {3,59}, {11,58}, {13,36}, {3,62}, {1,63}, {12,55}, {1,51}, {1,59}, {13,53}, {10,19}, {15,23}, {12,41}, {5,61}, {3,25}, {7,35}, {16,56}, {5,52}, {2,27}, {12,30}, {4,33}, {1,22}, {7,34}, {4,57}, {9,31}, {5,19}, {10,44}, {10,29}, {18,25}, {15,52}, {15,53}, {1,25}, {11,61}, {5,39}, {17,19}, {18,44}, {16,41}, {7,28}, {6,45}, {13,29}, {14,52}, {17,61}, {9,25}, {15,46}, {17,30}, {10,22}, {5,40}, {4,50}, {12,45}, {15,61}, {4,34}, {10,25}, {17,38}, {6,31}, {17,52}, {9,52}, {12,25}, {11,54}, {13,57}, {14,37}, {15,49}, {10,54}, {6,23}, {4,36}, {15,39}, {9,44}, {1,54}, {4,59}, {14,63}, {7,24}, {6,57}, {5,31}, {17,22}, {18,61}, {16,44}, {2,54}, {7,40}, {12,50}, {3,53}, {18,41}, {10,40}, {9,21}, {7,29}, {14,47}, {18,30}, {8,29}, {13,44}, {14,58}, {3,48}, {16,36}, {10,50}, {14,51}, {11,30}, {3,50}, {9,28}, {3,34}, {2,21}, {16,46}, {5,24}, {2,22}, {4,46}, {18,52}, {2,31}, {12,61}, {11,45}, {1,33}, {18,27}, {12,44}, {5,26}, {2,37}, {4,42}, {16,50}, {12,53}, {10,41}, {14,30}, {3,28}, {11,19}, {12,39}, {10,63}, {15,55}, {18,49}, {7,51}, {14,49}, {15,47}, {1,53}, {15,48}, {14,24}, {5,51}, {17,60}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {5,21}, {6,41}, {10,53}, {14,61}, {17,24}, {12,34}, {6,28}, {4,35}, {18,43}, {14,20}, {5,49}, {1,56}, {13,54}, {1,50}, {10,60}, {2,47}, {1,23}, {11,20}, {14,42}, {10,34}, {16,33}, {13,60}, {13,23}, {8,35}, {17,27}, {2,40}, {6,21}, {9,45}, {18,50}, {12,57}, {15,20}, {17,37}, {13,28}, {1,28}, {16,24}, {3,27}, {7,63}, {5,42}, {2,38}, {12,32}, {15,36}, {2,63}, {8,62}, {15,31}, {5,62}, {7,44}, {7,43}, {6,62}, {8,20}, {10,23}, {9,53}, {9,43}, {4,19}, {16,19}, {9,34}, {10,32}, {13,46}, {15,43}, {6,50}, {14,48}, {1,37}, {1,58}, {2,42}, {6,61}, {16,32}, {7,57}, {12,21}, {17,49}, {11,26}, {9,48}, {5,33}, {2,58}, {4,56}, {4,54}, {11,38} }; // ETB63.109 // Bipartite(18,45) Valencies [20,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2160 EdgesBipt[63][109]:={ {6,52}, {15,33}, {18,45}, {11,40}, {16,47}, {15,59}, {14,36}, {5,38}, {5,56}, {4,28}, {3,58}, {8,51}, {2,60}, {12,22}, {8,63}, {8,26}, {1,49}, {1,40}, {16,22}, {17,42}, {15,44}, {11,43}, {2,35}, {17,33}, {5,57}, {3,35}, {10,33}, {13,63}, {3,19}, {14,31}, {15,27}, {16,55}, {11,53}, {3,23}, {10,39}, {3,20}, {1,21}, {14,45}, {6,48}, {5,32}, {4,51}, {15,41}, {8,31}, {4,37}, {2,46}, {13,43}, {13,27}, {16,21}, {14,44}, {15,62}, {17,35}, {4,38}, {3,49}, {11,27}, {1,20}, {10,47}, {12,48}, {4,43}, {16,42}, {1,52}, {18,32}, {2,52}, {4,30}, {7,59}, {8,30}, {12,46}, {8,37}, {9,57}, {12,20}, {12,38}, {13,30}, {7,27}, {4,58}, {12,42}, {6,39}, {14,62}, {11,39}, {6,49}, {13,24}, {16,61}, {5,37}, {13,20}, {13,55}, {18,35}, {16,25}, {9,56}, {15,19}, {16,34}, {7,56}, {9,62}, {18,57}, {17,47}, {5,50}, {2,29}, {5,34}, {1,38}, {1,26}, {14,32}, {13,41}, {10,51}, {8,22}, {6,34}, {1,43}, {9,29}, {9,39}, {11,51}, {12,49}, {4,62}, {9,20}, {18,26}, {7,54}, {18,36}, {6,51}, {4,61}, {11,63}, {10,59}, {15,28}, {5,28}, {18,56}, {14,46}, {1,42}, {12,24}, {7,60}, {3,31}, {12,27}, {18,55}, {13,49}, {7,37}, {6,27}, {11,42}, {5,53}, {17,57}, {3,63}, {13,61}, {17,29}, {11,60}, {4,32}, {12,56}, {12,47}, {11,21}, {6,36}, {18,51}, {16,29}, {13,48}, {9,51}, {10,36}, {15,37}, {14,23}, {10,38}, {10,46}, {10,58}, {15,34}, {11,33}, {18,22}, {8,60}, {13,25}, {17,51}, {14,39}, {11,48}, {10,55}, {8,47}, {18,38}, {8,45}, {11,58}, {3,29}, {3,62}, {1,41}, {2,23}, {1,59}, {9,54}, {15,23}, {12,41}, {9,22}, {11,44}, {13,45}, {8,59}, {3,25}, {16,56}, {2,43}, {5,52}, {12,30}, {4,33}, {1,22}, {5,19}, {7,58}, {15,52}, {17,46}, {1,25}, {13,31}, {9,30}, {5,39}, {8,53}, {3,32}, {16,41}, {7,28}, {17,44}, {8,34}, {14,52}, {17,61}, {10,22}, {10,30}, {7,23}, {15,35}, {17,38}, {1,57}, {6,31}, {15,24}, {17,52}, {7,61}, {16,26}, {3,42}, {14,43}, {15,40}, {3,22}, {14,37}, {15,49}, {10,54}, {14,40}, {7,39}, {4,36}, {15,39}, {4,29}, {9,44}, {1,32}, {6,43}, {15,63}, {7,24}, {6,57}, {9,24}, {5,31}, {17,25}, {2,19}, {3,60}, {16,44}, {2,54}, {2,41}, {2,26}, {18,41}, {10,40}, {14,55}, {10,21}, {9,21}, {1,62}, {11,56}, {2,28}, {8,29}, {9,23}, {7,21}, {8,27}, {2,45}, {6,47}, {16,36}, {13,32}, {1,45}, {10,50}, {9,61}, {3,50}, {9,28}, {2,21}, {4,27}, {7,55}, {16,46}, {14,59}, {18,24}, {2,31}, {14,19}, {5,58}, {3,54}, {8,58}, {12,36}, {2,53}, {12,44}, {7,47}, {4,42}, {5,29}, {16,50}, {12,53}, {14,30}, {7,31}, {11,19}, {5,47}, {3,57}, {10,63}, {6,54}, {1,53}, {12,60}, {13,34}, {11,41}, {17,60}, {7,25}, {6,26}, {13,35}, {2,50}, {14,61}, {17,24}, {17,40}, {8,44}, {17,21}, {6,42}, {16,23}, {18,23}, {4,35}, {13,33}, {14,20}, {5,49}, {7,26}, {8,55}, {10,24}, {11,20}, {16,33}, {3,40}, {17,45}, {9,45}, {12,59}, {18,50}, {4,26}, {9,63}, {17,37}, {13,28}, {1,28}, {16,52}, {7,20}, {2,38}, {2,59}, {15,36}, {10,43}, {2,63}, {8,62}, {6,53}, {18,40}, {11,55}, {6,62}, {18,60}, {12,54}, {9,53}, {4,19}, {9,34}, {13,46}, {6,35}, {11,50}, {12,19}, {6,50}, {14,48}, {1,58}, {8,25}, {6,61}, {16,32}, {7,57}, {18,34}, {18,48}, {3,46}, {5,48}, {17,48}, {5,33}, {15,25}, {18,37}, {4,56}, {4,54}, {5,30}, {10,49} }; // ETB63.110 // Bipartite(18,45) Valencies [20,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 190210142896128000000000 EdgesBipt[63][110]:={ {6,52}, {7,48}, {10,37}, {15,59}, {8,57}, {14,36}, {6,59}, {6,25}, {5,38}, {5,56}, {4,28}, {3,58}, {5,59}, {8,51}, {5,45}, {2,62}, {2,60}, {12,22}, {8,26}, {13,37}, {14,38}, {16,22}, {16,63}, {17,42}, {15,44}, {10,62}, {14,50}, {2,35}, {17,33}, {5,57}, {16,58}, {8,21}, {13,63}, {3,19}, {16,55}, {1,19}, {11,53}, {14,56}, {3,23}, {8,23}, {3,20}, {14,45}, {16,37}, {16,28}, {5,32}, {4,51}, {1,35}, {7,30}, {15,41}, {4,37}, {13,43}, {6,58}, {13,27}, {14,57}, {14,29}, {16,21}, {15,62}, {2,33}, {6,32}, {17,35}, {3,49}, {11,35}, {11,29}, {10,56}, {11,27}, {1,20}, {10,47}, {12,28}, {4,24}, {4,43}, {1,52}, {16,48}, {15,32}, {8,30}, {16,49}, {12,46}, {9,33}, {7,45}, {9,57}, {12,20}, {5,41}, {17,39}, {12,38}, {17,59}, {7,27}, {17,62}, {6,49}, {10,26}, {12,31}, {12,40}, {10,20}, {17,26}, {13,24}, {12,23}, {18,58}, {13,55}, {13,42}, {1,29}, {12,37}, {13,51}, {2,56}, {10,35}, {6,44}, {18,39}, {18,57}, {5,50}, {2,29}, {1,38}, {13,19}, {14,32}, {1,26}, {2,36}, {16,40}, {1,61}, {6,34}, {1,43}, {12,49}, {9,39}, {11,51}, {8,42}, {7,54}, {5,54}, {18,33}, {3,38}, {11,63}, {4,61}, {5,27}, {3,47}, {3,31}, {7,37}, {11,42}, {17,57}, {9,58}, {15,50}, {13,61}, {8,48}, {11,60}, {14,54}, {7,19}, {4,60}, {2,44}, {8,50}, {12,56}, {12,47}, {1,55}, {18,51}, {11,36}, {3,55}, {9,51}, {1,47}, {2,24}, {16,57}, {2,51}, {14,23}, {10,38}, {10,46}, {15,34}, {11,33}, {18,22}, {8,60}, {13,25}, {17,51}, {14,39}, {10,55}, {8,24}, {8,41}, {14,21}, {7,46}, {3,59}, {3,29}, {10,61}, {13,36}, {4,45}, {12,55}, {10,19}, {15,23}, {12,41}, {9,22}, {11,44}, {13,45}, {8,59}, {15,58}, {2,27}, {4,33}, {11,24}, {9,31}, {10,44}, {10,29}, {7,58}, {18,25}, {15,52}, {15,53}, {1,25}, {2,20}, {9,30}, {5,39}, {8,53}, {3,32}, {14,27}, {7,28}, {17,44}, {9,25}, {17,30}, {11,62}, {16,30}, {15,61}, {6,22}, {4,34}, {10,25}, {15,35}, {12,29}, {6,31}, {9,52}, {11,54}, {10,52}, {15,40}, {3,22}, {1,44}, {15,49}, {18,31}, {7,49}, {6,23}, {16,31}, {16,45}, {7,39}, {3,41}, {4,36}, {4,63}, {14,63}, {6,43}, {8,32}, {10,28}, {9,24}, {18,61}, {2,54}, {7,40}, {12,50}, {17,41}, {5,23}, {5,20}, {2,26}, {17,50}, {5,63}, {18,21}, {9,21}, {1,62}, {11,56}, {14,47}, {18,30}, {7,21}, {2,45}, {4,55}, {16,36}, {9,61}, {3,50}, {4,27}, {7,55}, {16,46}, {11,47}, {14,59}, {4,46}, {18,24}, {18,52}, {3,56}, {11,45}, {16,27}, {2,53}, {4,42}, {5,29}, {4,25}, {14,30}, {3,28}, {7,31}, {8,33}, {5,47}, {12,58}, {18,49}, {1,53}, {13,34}, {17,60}, {7,22}, {6,26}, {1,34}, {5,21}, {6,41}, {10,53}, {17,24}, {9,60}, {8,44}, {17,21}, {13,33}, {18,43}, {14,20}, {1,56}, {13,54}, {2,47}, {11,20}, {10,34}, {17,53}, {3,40}, {13,60}, {8,35}, {15,22}, {12,59}, {14,41}, {16,54}, {16,39}, {13,28}, {1,28}, {7,63}, {2,38}, {12,32}, {10,43}, {2,63}, {8,62}, {15,31}, {6,53}, {9,49}, {18,40}, {9,40}, {6,62}, {18,60}, {17,23}, {4,52}, {15,26}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {9,42}, {5,36}, {16,19}, {9,34}, {13,46}, {15,43}, {7,36}, {6,35}, {17,32}, {12,19}, {13,52}, {6,50}, {14,48}, {1,37}, {2,42}, {6,61}, {18,42}, {7,57}, {18,34}, {18,48}, {11,26}, {3,46}, {9,48}, {5,48}, {17,48}, {15,25}, {5,30}, {4,54}, {11,38}, {6,40} }; // ETB63.111 // Bipartite(18,45) Valencies [20,8] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 743008370688000000000 EdgesBipt[63][111]:={ {6,52}, {7,48}, {15,38}, {15,59}, {8,57}, {6,59}, {6,25}, {16,51}, {11,25}, {3,58}, {5,59}, {5,45}, {12,22}, {8,63}, {8,26}, {16,22}, {11,43}, {10,62}, {4,31}, {16,58}, {10,33}, {8,21}, {13,63}, {14,31}, {1,19}, {11,53}, {2,49}, {3,23}, {17,56}, {10,39}, {1,21}, {6,48}, {15,56}, {5,32}, {7,30}, {15,41}, {2,61}, {4,40}, {13,27}, {10,48}, {16,21}, {14,44}, {6,32}, {3,49}, {11,35}, {11,29}, {10,42}, {1,20}, {2,34}, {2,25}, {12,48}, {4,43}, {16,42}, {16,48}, {18,32}, {2,52}, {15,32}, {8,30}, {16,49}, {9,33}, {7,45}, {12,20}, {5,41}, {17,39}, {8,52}, {16,60}, {12,38}, {12,26}, {17,59}, {7,27}, {4,58}, {6,39}, {14,62}, {10,26}, {17,20}, {12,31}, {12,40}, {13,47}, {13,24}, {1,24}, {16,61}, {5,37}, {13,20}, {16,25}, {13,42}, {1,29}, {15,19}, {13,51}, {16,34}, {2,56}, {6,46}, {10,35}, {16,43}, {4,23}, {13,26}, {17,47}, {5,50}, {4,49}, {17,36}, {2,29}, {18,47}, {1,38}, {2,36}, {16,40}, {10,51}, {18,29}, {9,36}, {6,34}, {12,49}, {4,62}, {4,22}, {7,54}, {5,54}, {18,33}, {4,61}, {10,59}, {5,27}, {18,59}, {15,28}, {5,28}, {18,56}, {14,46}, {9,46}, {14,35}, {1,42}, {3,31}, {3,51}, {1,39}, {7,37}, {5,53}, {17,57}, {5,35}, {3,63}, {3,36}, {15,50}, {17,29}, {8,48}, {14,60}, {7,19}, {4,32}, {1,30}, {14,28}, {12,56}, {12,47}, {1,55}, {18,51}, {4,53}, {9,51}, {1,47}, {10,57}, {16,57}, {3,24}, {14,33}, {15,37}, {9,55}, {4,41}, {18,20}, {17,54}, {18,38}, {7,46}, {8,45}, {3,59}, {11,52}, {13,36}, {1,51}, {13,53}, {9,54}, {15,23}, {9,19}, {13,45}, {11,44}, {11,34}, {11,46}, {2,43}, {15,58}, {2,27}, {12,30}, {6,30}, {5,19}, {10,44}, {7,58}, {18,25}, {13,56}, {11,61}, {6,19}, {2,20}, {8,53}, {3,32}, {7,28}, {13,29}, {8,34}, {9,25}, {15,46}, {17,30}, {10,30}, {4,50}, {11,62}, {16,30}, {4,34}, {17,38}, {12,29}, {1,57}, {9,52}, {3,42}, {15,40}, {3,22}, {14,37}, {13,38}, {15,49}, {14,40}, {1,48}, {7,49}, {6,23}, {16,31}, {7,39}, {3,41}, {4,59}, {6,43}, {6,37}, {17,63}, {6,57}, {9,24}, {3,60}, {18,61}, {4,44}, {2,54}, {7,40}, {17,41}, {5,23}, {17,50}, {18,41}, {5,63}, {1,60}, {14,55}, {10,21}, {11,56}, {7,21}, {8,36}, {13,44}, {14,58}, {8,27}, {2,45}, {5,46}, {3,33}, {14,26}, {10,50}, {9,61}, {14,51}, {3,50}, {9,28}, {7,55}, {2,22}, {11,47}, {15,29}, {18,24}, {18,52}, {8,43}, {2,31}, {14,19}, {12,62}, {1,33}, {3,54}, {3,45}, {12,44}, {5,26}, {12,53}, {10,41}, {4,25}, {7,31}, {11,19}, {13,62}, {12,39}, {12,58}, {15,55}, {14,49}, {15,47}, {14,24}, {7,22}, {13,35}, {6,41}, {10,53}, {9,60}, {8,44}, {17,21}, {6,28}, {18,23}, {4,35}, {13,33}, {18,43}, {1,56}, {13,54}, {10,60}, {11,37}, {11,28}, {2,47}, {10,24}, {14,42}, {5,55}, {11,20}, {16,33}, {3,40}, {13,60}, {8,61}, {8,35}, {17,27}, {2,40}, {8,54}, {6,21}, {15,22}, {17,45}, {9,45}, {18,50}, {4,26}, {12,57}, {9,63}, {15,20}, {16,39}, {1,28}, {16,24}, {16,52}, {3,27}, {9,27}, {7,63}, {2,38}, {2,63}, {8,62}, {15,31}, {6,55}, {5,62}, {11,55}, {18,60}, {5,44}, {17,23}, {10,23}, {4,52}, {9,43}, {14,53}, {1,46}, {8,39}, {14,22}, {9,42}, {5,36}, {9,34}, {10,32}, {12,35}, {7,36}, {17,32}, {6,50}, {1,37}, {8,25}, {6,61}, {18,42}, {7,57}, {12,21}, {18,34}, {11,26}, {17,48}, {2,58}, {11,38}, {9,37} }; // ETB63.112 // Bipartite(21,42) Valencies [20,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10569646080 EdgesBipt[63][112]:={ {6,38}, {11,40}, {10,37}, {16,47}, {6,59}, {19,26}, {4,28}, {3,58}, {11,59}, {2,60}, {12,63}, {12,22}, {8,26}, {1,49}, {14,38}, {16,22}, {16,63}, {13,39}, {3,61}, {15,44}, {10,62}, {14,50}, {4,31}, {8,40}, {5,57}, {3,35}, {20,46}, {10,33}, {21,30}, {13,63}, {14,31}, {15,27}, {21,41}, {11,53}, {2,49}, {8,23}, {10,39}, {14,45}, {15,56}, {16,28}, {21,28}, {5,32}, {15,41}, {20,52}, {21,22}, {6,56}, {6,58}, {13,27}, {14,29}, {10,48}, {15,62}, {2,33}, {4,38}, {3,49}, {21,53}, {11,29}, {15,57}, {20,26}, {19,31}, {12,48}, {4,24}, {4,43}, {16,42}, {16,48}, {18,32}, {20,61}, {7,59}, {16,49}, {12,46}, {20,43}, {13,59}, {8,46}, {8,37}, {5,41}, {6,60}, {17,39}, {20,49}, {12,26}, {17,62}, {19,22}, {12,42}, {6,39}, {11,39}, {7,33}, {12,31}, {3,52}, {12,40}, {19,48}, {13,47}, {5,60}, {13,24}, {1,24}, {2,48}, {5,37}, {19,52}, {18,35}, {13,42}, {20,35}, {1,29}, {19,42}, {7,56}, {16,43}, {4,23}, {8,38}, {9,62}, {18,57}, {20,55}, {13,26}, {18,62}, {9,47}, {12,52}, {4,49}, {5,50}, {2,29}, {5,34}, {2,36}, {6,34}, {1,43}, {11,51}, {9,39}, {4,22}, {7,54}, {5,54}, {18,36}, {3,38}, {11,63}, {5,28}, {18,56}, {21,55}, {14,46}, {2,39}, {9,59}, {9,46}, {21,62}, {7,32}, {7,60}, {19,38}, {3,31}, {12,27}, {19,47}, {3,51}, {18,55}, {7,53}, {5,53}, {11,42}, {9,58}, {17,29}, {11,60}, {20,25}, {2,44}, {1,30}, {8,56}, {19,27}, {12,47}, {6,36}, {1,55}, {18,51}, {3,30}, {3,55}, {13,48}, {10,57}, {2,24}, {16,57}, {10,36}, {20,51}, {10,46}, {10,58}, {15,34}, {21,25}, {17,51}, {17,58}, {10,55}, {8,47}, {8,24}, {9,38}, {9,26}, {8,45}, {3,59}, {11,58}, {11,52}, {3,29}, {13,36}, {2,23}, {20,22}, {4,45}, {1,51}, {21,57}, {15,23}, {12,41}, {4,47}, {13,45}, {20,31}, {8,59}, {19,24}, {7,35}, {19,45}, {16,56}, {2,43}, {2,27}, {12,30}, {4,33}, {7,50}, {1,22}, {10,44}, {17,46}, {13,56}, {1,25}, {11,61}, {20,30}, {5,39}, {7,28}, {20,44}, {8,34}, {14,52}, {9,25}, {15,46}, {17,30}, {20,47}, {4,50}, {11,62}, {15,61}, {10,25}, {15,35}, {11,32}, {21,32}, {12,25}, {16,26}, {14,43}, {15,40}, {19,50}, {13,57}, {14,37}, {1,44}, {13,38}, {10,54}, {19,53}, {18,31}, {7,49}, {14,40}, {9,41}, {16,31}, {7,39}, {4,29}, {1,54}, {4,59}, {7,52}, {19,29}, {6,37}, {15,63}, {6,57}, {9,24}, {17,22}, {17,25}, {18,61}, {16,44}, {4,44}, {2,54}, {21,49}, {17,41}, {12,43}, {17,50}, {18,41}, {7,29}, {14,47}, {18,30}, {2,28}, {13,44}, {14,58}, {2,45}, {21,46}, {3,33}, {16,36}, {14,26}, {1,45}, {9,61}, {14,51}, {19,59}, {11,30}, {3,50}, {19,39}, {3,34}, {16,53}, {19,43}, {18,28}, {2,22}, {14,59}, {18,52}, {19,60}, {3,56}, {12,61}, {12,62}, {1,33}, {20,28}, {5,58}, {3,54}, {8,58}, {6,63}, {16,27}, {2,53}, {5,29}, {12,53}, {10,41}, {14,30}, {3,28}, {21,34}, {7,31}, {8,33}, {2,57}, {6,54}, {15,55}, {18,49}, {15,47}, {11,31}, {21,44}, {15,48}, {14,24}, {5,51}, {11,41}, {17,60}, {1,34}, {15,42}, {13,35}, {21,43}, {7,42}, {2,50}, {21,27}, {6,41}, {14,61}, {17,24}, {20,23}, {9,60}, {8,44}, {6,42}, {16,23}, {4,35}, {21,48}, {21,51}, {19,32}, {13,33}, {18,53}, {14,25}, {5,49}, {13,54}, {20,34}, {1,50}, {10,60}, {11,37}, {1,23}, {8,55}, {16,35}, {10,24}, {5,55}, {10,27}, {10,34}, {17,53}, {3,40}, {13,60}, {8,61}, {13,23}, {10,45}, {8,35}, {17,27}, {8,54}, {17,45}, {9,45}, {4,26}, {9,63}, {18,63}, {17,37}, {1,28}, {20,56}, {16,52}, {9,27}, {7,38}, {7,63}, {19,63}, {12,32}, {15,36}, {21,36}, {6,55}, {5,62}, {18,40}, {9,40}, {6,62}, {20,40}, {10,23}, {4,52}, {15,26}, {1,46}, {3,37}, {14,22}, {9,42}, {5,36}, {7,36}, {6,35}, {17,32}, {11,50}, {17,43}, {1,37}, {1,58}, {8,25}, {6,61}, {18,42}, {16,32}, {7,57}, {2,32}, {6,33}, {18,34}, {12,51}, {9,48}, {17,48}, {5,33}, {15,25}, {4,56}, {4,54}, {5,30}, {11,38}, {9,37}, {6,40}, {21,23} }; // ETB63.113 // Bipartite(21,42) Valencies [20,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 10569646080 EdgesBipt[63][113]:={ {6,52}, {15,33}, {7,48}, {19,28}, {15,38}, {15,59}, {8,57}, {11,49}, {9,32}, {6,25}, {5,38}, {5,22}, {5,56}, {16,51}, {11,25}, {5,43}, {2,55}, {5,59}, {8,51}, {19,57}, {5,45}, {2,62}, {3,26}, {8,63}, {13,37}, {1,40}, {17,42}, {11,43}, {15,54}, {2,35}, {17,33}, {11,57}, {16,55}, {14,56}, {21,54}, {3,23}, {6,48}, {3,39}, {19,37}, {20,37}, {20,58}, {1,35}, {4,51}, {7,30}, {8,31}, {4,40}, {4,37}, {2,46}, {13,43}, {13,40}, {14,44}, {6,32}, {11,35}, {10,56}, {10,42}, {6,29}, {11,27}, {10,47}, {19,40}, {20,38}, {2,34}, {12,28}, {2,25}, {21,40}, {1,52}, {2,52}, {15,32}, {4,30}, {8,30}, {9,33}, {7,45}, {9,57}, {20,24}, {8,52}, {16,60}, {12,38}, {7,41}, {17,59}, {7,27}, {4,58}, {14,62}, {6,49}, {10,26}, {20,29}, {17,26}, {15,30}, {12,23}, {16,61}, {18,58}, {21,50}, {13,55}, {16,25}, {9,56}, {9,35}, {1,36}, {12,37}, {16,34}, {2,56}, {6,46}, {10,35}, {15,45}, {6,44}, {18,39}, {13,58}, {17,47}, {6,24}, {17,36}, {18,47}, {1,38}, {18,46}, {1,26}, {14,32}, {13,41}, {8,49}, {20,36}, {16,40}, {20,42}, {10,51}, {8,22}, {1,61}, {18,29}, {9,36}, {9,29}, {12,49}, {8,42}, {18,26}, {18,33}, {6,51}, {4,61}, {10,59}, {5,27}, {16,59}, {18,59}, {19,46}, {3,43}, {15,28}, {20,41}, {21,63}, {20,63}, {3,47}, {14,35}, {12,24}, {19,56}, {1,31}, {11,22}, {1,39}, {13,49}, {7,37}, {6,27}, {2,30}, {17,57}, {5,35}, {14,34}, {3,63}, {3,36}, {19,23}, {13,61}, {19,49}, {8,48}, {14,54}, {14,60}, {4,32}, {4,60}, {21,45}, {8,50}, {21,61}, {14,28}, {12,56}, {4,53}, {16,29}, {11,36}, {9,51}, {1,47}, {21,47}, {3,24}, {14,33}, {2,51}, {15,37}, {14,23}, {10,38}, {11,33}, {18,22}, {8,60}, {9,55}, {13,25}, {14,39}, {21,31}, {11,48}, {19,30}, {8,41}, {17,54}, {18,38}, {21,37}, {10,61}, {17,31}, {3,62}, {1,41}, {12,55}, {1,59}, {13,53}, {9,54}, {9,22}, {18,54}, {20,54}, {3,44}, {5,61}, {3,25}, {11,34}, {17,55}, {17,28}, {21,42}, {11,46}, {15,60}, {5,52}, {15,58}, {6,30}, {7,34}, {11,24}, {4,57}, {9,31}, {10,29}, {7,58}, {18,25}, {15,52}, {13,22}, {15,53}, {13,50}, {13,31}, {9,30}, {20,62}, {3,32}, {14,27}, {18,44}, {16,41}, {6,45}, {17,44}, {19,41}, {13,29}, {17,61}, {10,22}, {5,40}, {10,30}, {21,58}, {7,23}, {16,30}, {21,60}, {12,45}, {4,34}, {17,38}, {12,29}, {1,57}, {6,31}, {15,24}, {17,52}, {9,52}, {7,61}, {11,54}, {3,42}, {3,22}, {15,49}, {19,44}, {1,48}, {6,23}, {16,45}, {20,59}, {3,41}, {4,36}, {15,39}, {1,32}, {9,44}, {4,63}, {14,63}, {21,39}, {17,63}, {7,24}, {10,28}, {5,31}, {20,48}, {3,60}, {7,40}, {2,41}, {12,50}, {5,23}, {20,32}, {2,26}, {3,53}, {10,40}, {19,61}, {5,63}, {1,60}, {14,55}, {1,62}, {19,62}, {11,56}, {8,29}, {21,52}, {9,23}, {8,36}, {8,27}, {5,46}, {4,55}, {6,47}, {13,32}, {10,50}, {20,50}, {19,33}, {4,27}, {7,55}, {20,57}, {16,46}, {5,24}, {11,47}, {4,46}, {8,43}, {2,31}, {16,38}, {11,45}, {18,27}, {21,33}, {20,53}, {12,36}, {3,45}, {12,44}, {19,25}, {7,47}, {2,37}, {4,42}, {16,50}, {4,25}, {13,62}, {12,39}, {12,58}, {3,57}, {10,63}, {17,34}, {20,27}, {21,35}, {7,51}, {14,49}, {20,33}, {1,53}, {12,60}, {19,35}, {13,34}, {9,50}, {7,22}, {6,26}, {10,53}, {21,29}, {17,40}, {12,34}, {19,36}, {6,28}, {19,58}, {18,23}, {16,62}, {18,43}, {15,51}, {1,56}, {7,26}, {20,45}, {11,28}, {2,47}, {14,42}, {16,33}, {21,56}, {15,22}, {12,59}, {14,41}, {18,50}, {12,57}, {16,54}, {16,39}, {13,28}, {16,24}, {5,42}, {2,38}, {2,59}, {10,43}, {2,63}, {8,62}, {15,31}, {6,53}, {7,44}, {8,28}, {7,43}, {11,55}, {19,51}, {18,60}, {1,27}, {5,44}, {5,25}, {17,23}, {9,53}, {9,43}, {14,53}, {8,39}, {9,34}, {10,32}, {13,46}, {15,43}, {4,39}, {12,35}, {21,24}, {13,52}, {6,50}, {14,48}, {21,26}, {2,42}, {4,48}, {7,62}, {17,49}, {18,48}, {11,26}, {3,46}, {19,54}, {5,48}, {2,58}, {18,37}, {10,49} }; // ETB63.114 // Bipartite(27,36) Valencies [20,15] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 51840 EdgesBipt[63][114]:={ {26,53}, {3,42}, {1,63}, {15,28}, {26,54}, {13,40}, {6,36}, {24,33}, {14,48}, {4,46}, {3,29}, {16,28}, {17,61}, {24,59}, {25,42}, {22,37}, {7,47}, {22,53}, {26,33}, {17,56}, {27,61}, {8,28}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {5,32}, {5,52}, {8,37}, {8,31}, {6,60}, {2,57}, {18,51}, {25,62}, {9,58}, {3,55}, {15,54}, {2,39}, {7,28}, {18,38}, {4,28}, {19,37}, {23,29}, {18,49}, {23,56}, {15,62}, {3,63}, {5,43}, {13,61}, {16,57}, {22,51}, {1,41}, {23,50}, {3,54}, {4,30}, {7,63}, {10,55}, {14,54}, {21,35}, {25,58}, {23,53}, {23,45}, {19,49}, {19,60}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {16,33}, {19,38}, {18,28}, {4,34}, {22,28}, {26,47}, {18,37}, {25,29}, {15,45}, {10,42}, {9,41}, {17,43}, {23,58}, {23,34}, {17,45}, {14,33}, {24,36}, {11,35}, {8,59}, {11,37}, {25,28}, {8,38}, {25,51}, {19,30}, {22,29}, {16,61}, {1,53}, {26,57}, {5,47}, {5,55}, {17,42}, {23,49}, {20,28}, {20,57}, {11,36}, {19,54}, {24,48}, {15,59}, {15,51}, {13,53}, {14,61}, {27,32}, {18,54}, {25,41}, {17,51}, {14,43}, {7,30}, {9,53}, {6,31}, {1,31}, {6,58}, {11,48}, {2,59}, {5,50}, {21,30}, {21,44}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {22,32}, {8,39}, {20,54}, {22,45}, {9,55}, {15,43}, {27,56}, {12,38}, {11,44}, {13,33}, {26,44}, {22,62}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {5,46}, {18,55}, {15,34}, {24,30}, {16,30}, {8,58}, {8,35}, {6,40}, {1,50}, {9,31}, {5,33}, {4,39}, {21,55}, {25,60}, {22,47}, {8,47}, {6,39}, {24,43}, {2,44}, {8,49}, {19,31}, {22,41}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {26,43}, {22,60}, {14,50}, {8,60}, {21,37}, {1,29}, {26,37}, {2,34}, {15,55}, {14,35}, {12,41}, {16,62}, {11,32}, {4,56}, {3,31}, {2,47}, {10,43}, {5,29}, {24,58}, {27,36}, {9,28}, {26,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {16,55}, {25,33}, {11,58}, {14,32}, {9,37}, {27,38}, {26,52}, {19,44}, {22,46}, {9,52}, {8,34}, {9,29}, {12,50}, {4,33}, {15,40}, {18,34}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {3,43}, {18,48}, {16,48}, {3,36}, {17,46}, {7,42}, {6,43}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {23,32}, {20,61}, {9,39}, {20,31}, {8,33}, {11,45}, {22,59}, {9,42}, {21,50}, {27,45}, {9,35}, {20,62}, {12,45}, {1,60}, {27,59}, {8,41}, {2,62}, {13,46}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {27,48}, {15,30}, {24,34}, {27,54}, {4,40}, {24,61}, {23,38}, {16,36}, {12,54}, {11,61}, {1,39}, {7,40}, {17,37}, {6,44}, {22,52}, {18,60}, {10,52}, {15,37}, {22,48}, {12,62}, {7,35}, {27,47}, {3,53}, {20,38}, {14,41}, {4,29}, {24,57}, {27,40}, {26,63}, {5,34}, {26,34}, {1,30}, {1,52}, {13,36}, {1,59}, {5,48}, {25,59}, {19,28}, {5,59}, {11,57}, {11,33}, {22,40}, {2,61}, {24,35}, {13,37}, {10,53}, {5,30}, {13,59}, {6,46}, {2,49}, {12,57}, {21,54}, {23,44}, {19,43}, {14,46}, {10,57}, {5,40}, {16,31}, {22,36}, {12,63}, {24,42}, {6,50}, {1,40}, {17,31}, {8,29}, {1,48}, {15,44}, {25,40}, {14,57}, {11,63}, {24,63}, {16,52}, {17,44}, {2,33}, {17,35}, {10,35}, {9,47}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {15,58}, {12,59}, {21,53}, {15,35}, {13,41}, {4,55}, {8,54}, {25,48}, {4,63}, {23,60}, {13,44}, {9,62}, {26,41}, {3,59}, {20,35}, {8,42}, {8,32}, {7,38}, {1,61}, {2,63}, {4,54}, {23,40}, {5,31}, {4,51}, {10,38}, {10,60}, {21,33}, {1,56}, {23,55}, {10,34}, {21,47}, {24,28}, {14,52}, {5,49}, {11,28}, {13,39}, {20,51}, {2,53}, {19,63}, {19,42}, {24,29}, {24,56}, {26,62}, {27,58}, {19,50}, {17,34}, {6,62}, {1,62}, {18,46}, {18,56}, {10,30}, {9,61}, {6,42}, {7,32}, {13,38}, {26,36}, {12,51}, {20,34}, {7,44}, {25,34}, {27,44}, {11,46}, {4,31}, {15,39}, {10,39}, {23,57}, {22,50}, {3,56}, {27,52}, {15,49}, {1,38}, {7,41}, {2,29}, {14,44}, {12,60}, {25,50}, {20,59}, {23,62}, {25,54}, {18,40}, {17,57}, {26,30}, {13,30}, {14,39}, {14,42}, {13,52}, {6,61}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {4,50}, {17,41}, {11,30}, {19,61}, {21,52}, {2,48}, {16,58}, {7,39}, {10,56}, {9,38}, {2,32}, {6,33}, {14,55}, {16,63}, {15,52}, {16,50}, {19,48}, {9,36}, {26,56}, {10,40}, {19,62}, {21,41}, {14,63}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {25,35}, {13,56}, {19,46}, {8,48}, {11,40}, {9,57}, {17,60}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {24,45}, {9,32}, {3,58}, {25,44}, {18,32}, {20,47}, {16,45}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,42}, {21,49}, {27,63}, {20,46}, {27,43}, {13,49}, {23,47}, {20,55}, {27,50}, {26,28}, {16,38}, {22,43}, {16,49}, {12,37}, {13,60}, {17,30}, {25,55}, {27,42}, {24,41}, {23,63}, {16,47}, {20,36}, {27,29}, {22,57}, {3,61}, {2,35}, {17,62}, {10,32}, {25,53}, {17,47}, {24,60}, {12,55}, {11,60}, {10,49}, {12,46}, {4,36}, {6,29}, {2,31} }; // ETB63.115 // Bipartite(28,35) Valencies [20,16] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 40320 EdgesBipt[63][115]:={ {3,42}, {1,63}, {26,50}, {13,40}, {6,36}, {14,48}, {4,46}, {17,61}, {22,37}, {7,47}, {22,53}, {26,33}, {4,60}, {20,50}, {7,57}, {4,57}, {15,63}, {14,49}, {18,58}, {5,52}, {14,47}, {8,31}, {22,55}, {17,54}, {2,57}, {18,51}, {25,62}, {6,48}, {11,52}, {11,34}, {3,55}, {22,56}, {10,54}, {2,39}, {7,53}, {7,62}, {19,51}, {8,36}, {22,61}, {28,54}, {19,37}, {17,29}, {18,49}, {23,56}, {9,49}, {15,62}, {19,58}, {3,63}, {16,54}, {13,61}, {22,51}, {12,32}, {25,63}, {28,29}, {1,41}, {23,54}, {3,54}, {4,30}, {7,63}, {14,54}, {21,35}, {25,58}, {20,42}, {2,38}, {2,52}, {23,53}, {19,49}, {6,34}, {1,49}, {16,33}, {25,49}, {13,51}, {17,63}, {13,29}, {13,48}, {10,63}, {18,37}, {25,29}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {23,58}, {23,34}, {17,45}, {14,33}, {11,35}, {3,32}, {8,59}, {11,37}, {8,52}, {1,53}, {26,57}, {5,47}, {28,43}, {16,51}, {17,42}, {28,58}, {11,47}, {18,50}, {12,48}, {20,57}, {11,36}, {19,54}, {1,55}, {19,40}, {15,59}, {10,51}, {28,42}, {15,51}, {5,53}, {14,61}, {27,32}, {4,59}, {7,59}, {14,43}, {25,45}, {7,30}, {9,53}, {25,61}, {28,57}, {1,31}, {2,41}, {21,30}, {21,44}, {26,58}, {27,62}, {23,33}, {5,45}, {3,48}, {21,42}, {8,57}, {18,53}, {13,54}, {8,39}, {22,45}, {27,56}, {2,36}, {12,38}, {13,33}, {26,44}, {18,35}, {20,32}, {22,62}, {14,62}, {18,31}, {26,32}, {3,51}, {5,46}, {18,55}, {16,42}, {12,44}, {15,34}, {24,30}, {8,58}, {18,59}, {6,40}, {1,50}, {9,31}, {20,39}, {4,39}, {27,41}, {21,55}, {12,56}, {25,60}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {23,52}, {26,60}, {10,48}, {19,31}, {4,45}, {28,39}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {5,38}, {22,60}, {14,50}, {8,60}, {28,52}, {21,37}, {3,50}, {25,38}, {1,29}, {2,34}, {21,63}, {14,35}, {16,62}, {21,59}, {4,56}, {23,39}, {2,47}, {5,29}, {27,60}, {27,36}, {25,46}, {26,49}, {20,49}, {2,56}, {16,35}, 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{10,53}, {24,31}, {6,46}, {2,49}, {19,43}, {23,44}, {14,46}, {6,56}, {10,57}, {5,40}, {3,46}, {24,62}, {16,31}, {28,61}, {12,63}, {24,42}, {27,34}, {18,30}, {11,59}, {6,50}, {28,31}, {28,35}, {19,56}, {8,29}, {15,44}, {23,41}, {25,40}, {19,36}, {9,34}, {14,57}, {3,60}, {11,63}, {17,44}, {2,33}, {6,32}, {15,31}, {10,35}, {24,47}, {17,59}, {18,36}, {27,46}, {21,53}, {15,35}, {5,41}, {13,41}, {26,61}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {2,43}, {13,44}, {9,62}, {16,40}, {6,51}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {22,39}, {8,32}, {1,61}, {7,52}, {2,63}, {23,40}, {5,31}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {23,55}, {21,47}, {25,39}, {7,48}, {5,49}, {28,34}, {11,43}, {28,63}, {3,52}, {28,38}, {20,51}, {19,63}, {26,62}, {19,50}, {6,62}, {13,55}, {1,62}, {16,56}, {7,32}, {22,54}, {13,57}, {27,44}, {17,52}, {19,59}, {11,46}, {4,31}, {17,49}, {10,39}, {14,56}, {28,51}, {26,38}, {20,63}, {16,39}, {1,38}, {5,37}, {3,44}, {20,30}, {12,60}, {25,50}, {18,40}, {17,57}, {20,48}, {24,32}, {9,45}, {21,58}, {13,52}, {6,61}, {18,45}, {3,39}, {10,41}, {7,56}, {12,34}, {11,55}, {15,41}, {4,48}, {11,30}, {21,52}, {28,41}, {23,59}, {16,58}, {10,56}, {14,60}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {22,34}, {27,30}, {16,63}, {15,52}, {28,46}, {26,56}, {27,49}, {21,41}, {12,40}, {17,40}, {23,61}, {20,41}, {15,32}, {14,38}, {7,58}, {13,56}, {11,40}, {13,42}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {24,40}, {23,30}, {22,31}, {20,47}, {14,58}, {7,50}, {12,43}, {19,34}, {28,36}, {13,47}, {10,45}, {23,42}, {15,61}, {3,40}, {27,63}, {27,43}, {12,36}, {22,44}, {13,49}, {26,51}, {28,30}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {5,57}, {22,43}, {12,37}, {10,58}, {13,60}, {25,55}, {27,42}, {24,41}, {12,31}, {20,36}, {15,47}, {21,60}, {27,29}, {26,45}, {4,37}, {22,57}, {3,61}, {28,33}, {10,62}, {4,35}, {20,53}, {25,53}, {8,50}, {24,60}, {6,59}, {12,55}, {8,53}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29} }; // ETB63.116 // Bipartite(28,35) Valencies [20,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 276093826616587714560000000 EdgesBipt[63][116]:={ {3,42}, {26,54}, {26,50}, {24,33}, {11,42}, {14,48}, {4,46}, {17,61}, {24,59}, {25,42}, {14,29}, {22,53}, {26,33}, {17,56}, {4,60}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {8,31}, {6,60}, {12,42}, {17,54}, {25,62}, {3,47}, {9,58}, {11,34}, {27,53}, {3,55}, {28,50}, {15,54}, {10,54}, {2,39}, {7,62}, {15,50}, {1,32}, {19,51}, {8,36}, {22,61}, {19,37}, {18,49}, {15,33}, {24,52}, {19,58}, {3,63}, {16,54}, {5,43}, {5,61}, {2,30}, {25,63}, {28,29}, {5,56}, {23,54}, {3,54}, {10,55}, {20,42}, {23,53}, {19,49}, {11,39}, {21,31}, {16,33}, {25,49}, {13,51}, {17,63}, {4,34}, {26,47}, {10,63}, {25,29}, {15,45}, {25,32}, {10,42}, {28,45}, {9,41}, {23,58}, {23,34}, {17,45}, {11,35}, {8,59}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {16,61}, {1,53}, {26,57}, {5,47}, {28,43}, {16,51}, {17,42}, {28,58}, {21,57}, {18,50}, {12,35}, {11,36}, {28,44}, {19,54}, {19,40}, {24,48}, {15,59}, {13,53}, {27,32}, {25,56}, {25,41}, {7,59}, {2,37}, {14,43}, {7,30}, {9,53}, {6,31}, {28,57}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {21,30}, {21,44}, {26,58}, {23,33}, {20,44}, {3,48}, {8,57}, {4,41}, {18,53}, {20,58}, {7,51}, {22,32}, {8,39}, {7,34}, {22,45}, {9,55}, {15,43}, {27,56}, {26,44}, {18,35}, {20,32}, {14,62}, {14,51}, {18,42}, {18,55}, {12,44}, {16,30}, {2,60}, {1,50}, {20,39}, {5,33}, {4,39}, {21,55}, {12,56}, {25,60}, {22,47}, {8,47}, {6,39}, {2,44}, {17,48}, {19,35}, {16,34}, {10,48}, {11,56}, {20,60}, {5,36}, {24,54}, {21,36}, {7,31}, {12,33}, {26,43}, {22,60}, {14,50}, {8,60}, {28,52}, {6,52}, {21,37}, {27,51}, {1,29}, {26,37}, {2,34}, {16,62}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {5,29}, {27,60}, {25,46}, {15,57}, {26,49}, {20,49}, {20,52}, {21,51}, {5,51}, {16,55}, {21,62}, {9,37}, {27,38}, {24,49}, {11,41}, {19,44}, {22,46}, {24,55}, {8,61}, {23,46}, {12,50}, {15,40}, {21,34}, {18,34}, {2,55}, {10,31}, {22,38}, {11,49}, {16,60}, {12,58}, {7,37}, {21,45}, {5,63}, {18,48}, {16,48}, {14,36}, {9,54}, {11,50}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {23,32}, {2,58}, {26,35}, {7,36}, {9,39}, {14,37}, {22,33}, {7,43}, {20,31}, {8,33}, {9,44}, {15,60}, {14,59}, {22,59}, {21,50}, {19,57}, {13,35}, {16,37}, {1,54}, {13,32}, {27,45}, {21,29}, {15,36}, {1,60}, {12,61}, {27,59}, {28,37}, {2,62}, {13,46}, {2,40}, {6,53}, {16,46}, {24,34}, {24,61}, {12,54}, {1,39}, {18,43}, {6,45}, {4,62}, {6,44}, {25,36}, {22,52}, {18,60}, {9,46}, {10,52}, {7,55}, {4,42}, {23,48}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {9,60}, {26,63}, {1,43}, {15,46}, {28,62}, {1,52}, {1,59}, {3,35}, {4,49}, {9,40}, {14,31}, {8,45}, {20,37}, {11,62}, {11,57}, {5,58}, {22,40}, {2,61}, {24,35}, {13,37}, {5,30}, {24,31}, {13,59}, {6,46}, {12,57}, {23,44}, {19,43}, {6,56}, {9,30}, {5,40}, {24,62}, {22,36}, {12,63}, {24,42}, {26,40}, {28,31}, {1,40}, {19,56}, {8,29}, {17,31}, {23,41}, {19,36}, {9,34}, {14,57}, {11,63}, {24,63}, {16,41}, {28,59}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {24,47}, {9,47}, {17,59}, {18,36}, {10,59}, {27,46}, {4,32}, {26,61}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {25,48}, {4,63}, {14,34}, {23,60}, {13,44}, {9,62}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {22,39}, {8,32}, {1,61}, {7,52}, {23,40}, {13,31}, {10,38}, {17,38}, {1,46}, {23,55}, {10,34}, {25,39}, {7,48}, {14,52}, {5,49}, {28,34}, {13,39}, {11,43}, {3,52}, {28,38}, {20,51}, {2,53}, {19,63}, {28,48}, {19,42}, {24,56}, {27,58}, {19,50}, {17,34}, {18,46}, {23,51}, {18,56}, {1,45}, {9,61}, {6,42}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {25,34}, {27,44}, {17,52}, {11,46}, {3,41}, {15,39}, {10,33}, {17,49}, {19,47}, {28,51}, {22,50}, {3,56}, {27,52}, {20,63}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {20,30}, {14,44}, {25,50}, {20,59}, {23,62}, {1,36}, {26,30}, {13,30}, {21,58}, {13,52}, {2,46}, {10,41}, {13,58}, {11,55}, {4,50}, {16,44}, {17,41}, {4,48}, {19,61}, {21,52}, {8,43}, {28,41}, {2,48}, {16,58}, {10,56}, {9,51}, {27,37}, {25,57}, {1,33}, {12,30}, {2,32}, {18,63}, {14,55}, {27,30}, {15,52}, {24,38}, {26,56}, {10,40}, {27,49}, {21,41}, {12,40}, {17,40}, {23,61}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {27,39}, {6,30}, {7,58}, {20,56}, {25,35}, {13,56}, {6,38}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {6,63}, {24,45}, {16,32}, {9,32}, {16,53}, {18,62}, {18,32}, {17,55}, {24,40}, {26,42}, {23,30}, {22,31}, {14,58}, {28,55}, {7,50}, {12,43}, {26,29}, {28,36}, {23,37}, {10,45}, {15,53}, {15,61}, {2,54}, {3,40}, {27,63}, {20,46}, {12,36}, {27,31}, {13,49}, {26,51}, {3,33}, {27,35}, {28,30}, {1,57}, {23,47}, {18,41}, {5,57}, {22,43}, {4,53}, {12,37}, {13,60}, {25,55}, {27,42}, {24,41}, {16,47}, {15,47}, {20,45}, {13,45}, {22,57}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {17,33}, {20,53}, {17,62}, {25,53}, {17,47}, {8,50}, {13,63}, {21,38}, {6,59}, {11,60}, {8,53}, {10,49}, {4,36}, {5,54} }; // ETB63.117 // Bipartite(28,35) Valencies [20,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 23115815976960 EdgesBipt[63][117]:={ {26,53}, {3,42}, {7,49}, {1,63}, {26,54}, {26,50}, {11,42}, {7,61}, {4,46}, {3,29}, {20,33}, {19,41}, {24,59}, {25,42}, {7,47}, {28,56}, {27,55}, {27,61}, {3,49}, {3,62}, {15,63}, {14,49}, {5,52}, {14,47}, {8,31}, {6,60}, {22,55}, {3,47}, {6,48}, {11,34}, {27,53}, {28,50}, {15,54}, {7,53}, {18,38}, {7,62}, {9,63}, {15,50}, {8,36}, {22,61}, {28,54}, {13,43}, {17,29}, {23,29}, {18,49}, {23,56}, {15,62}, {10,29}, {15,33}, {24,52}, {3,63}, {12,52}, {5,43}, {13,61}, {2,30}, {25,63}, {4,30}, {14,54}, {21,35}, {20,42}, {2,38}, {19,49}, {4,38}, {11,39}, {24,39}, {7,54}, {16,33}, {19,38}, {25,49}, {13,51}, {17,63}, {4,34}, {26,46}, {7,60}, {13,29}, {13,48}, {26,47}, {10,63}, {18,37}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {23,34}, {11,35}, {3,32}, {11,37}, {22,29}, {26,57}, {5,47}, {28,43}, {5,55}, {16,51}, {17,42}, {28,58}, {18,50}, {12,48}, {20,57}, {19,54}, {1,55}, {19,40}, {24,48}, {10,51}, {5,53}, {13,53}, {28,49}, {14,61}, {28,32}, {25,56}, {4,59}, {25,41}, {7,59}, {2,37}, {17,51}, {14,43}, {25,45}, {7,30}, {25,61}, {1,31}, {2,41}, {6,58}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {27,57}, {8,57}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {20,54}, {22,45}, {9,55}, {27,56}, {2,36}, {12,38}, {11,44}, {13,33}, {26,44}, {18,35}, {22,62}, {14,62}, {14,51}, {3,51}, {18,42}, {5,46}, {12,44}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {1,50}, {24,44}, {9,31}, {4,39}, {6,57}, {22,47}, {16,43}, {8,47}, {17,48}, {1,42}, {16,34}, {10,48}, {19,31}, {4,45}, {11,56}, {20,43}, {4,44}, {20,60}, {5,36}, {12,39}, {21,36}, {14,53}, {26,43}, {5,38}, {22,60}, {14,50}, {8,60}, {28,52}, {6,52}, {25,38}, {27,51}, {1,29}, {2,34}, {15,55}, {14,35}, {12,41}, {16,62}, {21,59}, {11,32}, {4,56}, {3,31}, {27,60}, {24,58}, {25,46}, {15,57}, {26,49}, {20,52}, {2,56}, {21,51}, {21,40}, {16,55}, {21,62}, {25,33}, {8,30}, {14,32}, {9,37}, {27,38}, {26,52}, {24,49}, {11,41}, {19,44}, {22,46}, {9,29}, {8,61}, {23,46}, {12,50}, {4,33}, {18,34}, {2,55}, {10,31}, {11,49}, {16,60}, {19,52}, {27,33}, {16,48}, {14,36}, {6,43}, {11,50}, {26,31}, {12,47}, {21,56}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {28,40}, {1,35}, {23,32}, {20,61}, {7,36}, {28,60}, {21,61}, {22,33}, {7,43}, {11,45}, {8,33}, {8,62}, {15,60}, {14,59}, {21,50}, {19,57}, {8,55}, {16,37}, {1,54}, {27,45}, {26,39}, {18,44}, {12,45}, {15,36}, {16,29}, {1,60}, {27,59}, {15,42}, {2,62}, {2,40}, {9,43}, {6,53}, {16,46}, {27,48}, {24,34}, {15,30}, {27,54}, {23,38}, {16,36}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {17,37}, {10,37}, {6,44}, {9,46}, {10,52}, {24,51}, {7,35}, {4,42}, {23,48}, {21,43}, {15,29}, {20,38}, {14,41}, {9,60}, {24,57}, {5,34}, {26,34}, {1,30}, {15,46}, {28,62}, {3,35}, {4,49}, {4,61}, {5,48}, {26,48}, {9,40}, {25,30}, {25,59}, {8,45}, {20,37}, {11,33}, {24,35}, {13,37}, {24,37}, {24,31}, {13,59}, {21,54}, {12,57}, {19,43}, {6,56}, {9,30}, {10,57}, {5,40}, {24,62}, {16,31}, {22,36}, {28,61}, {22,30}, {24,42}, {26,40}, {18,30}, {11,59}, {28,35}, {17,31}, {8,29}, {23,41}, {19,36}, {9,34}, {11,63}, {24,63}, {16,41}, {17,44}, {3,57}, {28,59}, {2,33}, {17,35}, {15,31}, {10,35}, {24,47}, {17,59}, {10,59}, {6,55}, {4,32}, {15,58}, {19,39}, {21,53}, {15,35}, {5,41}, {8,54}, {3,34}, {18,39}, {9,48}, {2,43}, {4,63}, {23,60}, {13,44}, {9,62}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {22,39}, {14,30}, {1,61}, {7,52}, {2,63}, {23,40}, {12,53}, {5,31}, {18,33}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {25,39}, {14,52}, {5,49}, {3,52}, {20,51}, {24,29}, {27,58}, {19,50}, {17,34}, {13,55}, {1,62}, {18,46}, {23,51}, {8,63}, {18,56}, {1,45}, {16,56}, {17,58}, {17,39}, {6,42}, {7,32}, {13,38}, {26,36}, {22,54}, {13,57}, {25,34}, {27,44}, {17,52}, {11,46}, {9,56}, {15,39}, {17,49}, {10,39}, {19,47}, {14,56}, {28,51}, {22,50}, {26,38}, {27,52}, {7,41}, {3,44}, {2,29}, {25,50}, {20,59}, {23,62}, {1,36}, {17,57}, {24,32}, {20,48}, {21,58}, {13,52}, {6,61}, {18,45}, {19,53}, {2,46}, {3,39}, {7,56}, {13,58}, {12,34}, {19,45}, {4,50}, {23,31}, {11,30}, {21,52}, {28,41}, {2,48}, {14,60}, {9,51}, {9,38}, {10,44}, {27,37}, {1,33}, {6,33}, {2,32}, {18,63}, {16,63}, {19,48}, {9,36}, {10,40}, {21,41}, {12,40}, {17,40}, {8,46}, {7,58}, {20,56}, {25,35}, {13,56}, {6,38}, {19,46}, {13,42}, {5,44}, {16,32}, {9,32}, {3,58}, {25,44}, {18,32}, {24,40}, {21,32}, {23,30}, {22,31}, {14,58}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {28,36}, {23,37}, {15,61}, {21,49}, {3,40}, {27,43}, {22,42}, {12,36}, {28,53}, {18,61}, {28,30}, {1,57}, {22,63}, {20,55}, {18,41}, {23,43}, {23,36}, {16,38}, {5,57}, {4,53}, {10,58}, {13,60}, {27,42}, {23,63}, {12,31}, {15,47}, {20,45}, {21,60}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {22,57}, {10,62}, {4,35}, {10,47}, {28,47}, {20,53}, {17,62}, {10,32}, {25,53}, {17,47}, {8,50}, {25,37}, {6,59}, {12,55}, {10,49}, {12,46}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.118 // Bipartite(14,49) Valencies [21,6] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 56448 EdgesBipt[63][118]:={ {13,21}, {10,37}, {8,57}, {11,49}, {5,38}, {9,17}, {11,25}, {8,51}, {5,45}, {2,60}, {12,63}, {3,26}, {8,26}, {13,37}, {1,40}, {13,39}, {3,61}, {11,43}, {14,50}, {4,31}, {8,40}, {5,57}, {3,35}, {11,15}, {10,33}, {8,21}, {11,57}, {1,19}, {10,39}, {2,18}, {1,21}, {14,45}, {5,32}, {7,30}, {2,61}, {13,43}, {6,58}, {13,27}, {14,57}, {14,44}, {11,35}, {10,56}, {11,17}, {10,42}, {6,29}, {1,20}, {3,18}, {12,28}, {12,48}, {4,24}, {2,52}, {4,30}, {7,59}, {8,30}, {12,46}, {9,33}, {1,17}, {13,59}, {4,16}, {8,37}, {12,20}, {6,60}, {12,38}, {7,41}, {13,30}, {6,39}, {14,62}, {6,49}, {12,40}, {10,20}, {1,24}, {5,60}, {2,15}, {5,37}, {13,55}, {1,36}, {1,29}, {2,56}, {7,56}, {10,35}, {13,58}, {11,18}, {9,47}, {12,52}, {5,34}, {2,36}, {8,49}, {13,41}, {10,51}, {1,61}, {6,34}, {12,49}, {9,39}, {4,62}, {9,20}, {4,22}, {7,54}, {5,54}, {8,19}, {3,38}, {5,27}, {3,43}, {6,17}, {14,46}, {8,18}, {9,59}, {4,18}, {3,47}, {14,35}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {11,22}, {6,27}, {7,53}, {11,42}, {2,30}, {9,58}, {3,63}, {4,21}, {11,60}, {14,60}, {4,32}, {13,18}, {8,15}, {12,56}, {8,17}, {10,16}, {3,55}, {10,57}, {2,24}, {11,23}, {11,16}, {10,36}, {3,24}, {10,38}, {14,23}, {6,16}, {8,24}, {8,41}, {9,38}, {9,26}, {12,17}, {13,36}, {2,23}, {1,63}, {12,55}, {1,51}, {13,53}, {10,19}, {12,41}, {9,19}, {3,44}, {13,45}, {2,43}, {4,33}, {10,31}, {10,44}, {7,58}, {13,22}, {1,25}, {13,50}, {2,20}, {9,16}, {9,30}, {8,53}, {6,45}, {8,34}, {13,29}, {9,25}, {10,22}, {11,62}, {6,22}, {12,29}, {6,31}, {11,32}, {9,52}, {7,61}, {11,54}, {12,25}, {10,52}, {1,16}, {3,22}, {14,37}, {10,54}, {4,15}, {7,49}, {9,41}, {6,23}, {7,39}, {9,44}, {4,63}, {4,59}, {14,63}, {7,52}, {8,32}, {7,24}, {2,54}, {7,40}, {12,43}, {2,26}, {14,55}, {14,47}, {8,29}, {9,23}, {14,58}, {2,45}, {5,46}, {4,55}, {6,47}, {3,48}, {3,33}, {1,45}, {14,51}, {3,50}, {3,34}, {2,21}, {4,27}, {14,59}, {4,46}, {3,56}, {12,62}, {14,19}, {12,36}, {5,26}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {11,19}, {5,47}, {7,51}, {13,35}, {5,21}, {2,50}, {7,42}, {6,41}, {9,15}, {10,53}, {14,61}, {12,34}, {8,44}, {6,28}, {6,42}, {1,15}, {14,25}, {5,49}, {1,56}, {11,28}, {2,47}, {1,23}, {11,20}, {10,27}, {3,40}, {8,35}, {12,59}, {4,26}, {13,28}, {7,63}, {5,42}, {2,38}, {10,43}, {5,62}, {8,28}, {11,55}, {1,27}, {5,44}, {12,54}, {9,53}, {14,53}, {1,46}, {5,36}, {9,34}, {13,46}, {4,39}, {11,50}, {13,52}, {6,50}, {14,48}, {1,37}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {7,62}, {9,48}, {5,48}, {5,33}, {2,58}, {6,40} }; // ETB63.119 // Bipartite(14,49) Valencies [21,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1776368267603941376655360000000 EdgesBipt[63][119]:={ {13,21}, {6,52}, {7,48}, {6,38}, {11,40}, {8,57}, {11,49}, {6,59}, {5,22}, {10,18}, {9,17}, {11,25}, {4,28}, {5,43}, {8,51}, {12,22}, {10,62}, {6,15}, {5,57}, {13,63}, {5,15}, {11,53}, {14,56}, {8,23}, {10,39}, {3,20}, {3,39}, {7,30}, {2,61}, {4,40}, {6,56}, {13,43}, {10,48}, {14,44}, {2,33}, {11,35}, {6,29}, {3,18}, {8,16}, {10,17}, {12,48}, {2,52}, {8,30}, {9,33}, {13,59}, {8,46}, {8,37}, {12,20}, {5,41}, {7,41}, {12,26}, {7,27}, {14,62}, {11,39}, {6,49}, {2,17}, {3,52}, {12,40}, {10,20}, {13,24}, {13,42}, {1,36}, {1,29}, {7,56}, {11,18}, {9,47}, {4,49}, {5,50}, {6,24}, {5,34}, {3,17}, {8,22}, {1,43}, {5,54}, {1,18}, {11,63}, {4,61}, {3,38}, {10,59}, {5,27}, {6,17}, {8,18}, {9,59}, {4,18}, {14,35}, {3,31}, {12,27}, {1,39}, {7,37}, {13,49}, {2,30}, {11,42}, {9,58}, {14,34}, {4,21}, {11,60}, {13,17}, {4,32}, {4,60}, {2,44}, {1,30}, {12,15}, {8,50}, {8,15}, {14,28}, {11,21}, {12,47}, {6,36}, {4,53}, {3,55}, {9,51}, {2,24}, {3,24}, {2,51}, {10,38}, {14,23}, {10,46}, {11,33}, {8,60}, {10,55}, {9,38}, {9,26}, {14,21}, {3,59}, {13,36}, {3,62}, {2,23}, {12,55}, {1,51}, {9,54}, {12,41}, {9,19}, {4,47}, {13,45}, {5,61}, {3,25}, {7,35}, {11,46}, {4,33}, {1,22}, {7,34}, {10,31}, {9,31}, {5,19}, {7,58}, {13,22}, {13,56}, {1,25}, {13,50}, {11,61}, {13,31}, {9,16}, {9,30}, {8,53}, {3,32}, {14,27}, {7,28}, {6,45}, {2,16}, {13,29}, {5,40}, {7,23}, {6,22}, {10,25}, {12,29}, {1,57}, {6,31}, {11,32}, {9,52}, {11,54}, {10,52}, {1,16}, {13,57}, {14,37}, {1,44}, {13,38}, {7,49}, {3,41}, {1,32}, {9,44}, {4,63}, {14,63}, {6,43}, {8,32}, {6,57}, {9,24}, {2,19}, {3,60}, {2,54}, {12,50}, {12,43}, {5,20}, {3,53}, {2,26}, {1,60}, {14,55}, {11,56}, {8,29}, {9,23}, {7,21}, {14,16}, {8,36}, {14,58}, {2,45}, {3,48}, {9,61}, {14,51}, {3,34}, {7,55}, {11,47}, {4,46}, {8,43}, {2,31}, {12,61}, {12,62}, {8,58}, {12,36}, {6,63}, {3,45}, {5,26}, {2,37}, {4,42}, {5,29}, {10,41}, {4,25}, {14,30}, {12,33}, {11,19}, {5,47}, {7,51}, {14,49}, {1,53}, {13,35}, {7,42}, {10,53}, {12,34}, {8,44}, {6,28}, {6,42}, {4,35}, {13,15}, {1,15}, {14,20}, {1,50}, {10,60}, {11,28}, {2,47}, {7,16}, {1,23}, {10,24}, {5,55}, {14,42}, {10,27}, {10,34}, {10,45}, {2,40}, {6,21}, {9,45}, {14,41}, {4,26}, {12,57}, {13,28}, {3,27}, {7,20}, {7,63}, {2,38}, {2,59}, {5,62}, {7,44}, {9,40}, {12,54}, {1,46}, {4,19}, {8,39}, {5,36}, {10,32}, {4,39}, {6,35}, {12,19}, {13,52}, {6,50}, {14,48}, {1,37}, {1,58}, {8,25}, {7,62}, {11,26}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {9,37} }; // ETB63.120 // Bipartite(14,49) Valencies [21,6] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3469469272663948001280000000 EdgesBipt[63][120]:={ {13,21}, {11,40}, {14,36}, {6,25}, {5,22}, {9,17}, {5,43}, {8,51}, {12,22}, {3,26}, {8,26}, {13,37}, {14,38}, {3,61}, {11,43}, {14,50}, {4,31}, {8,40}, {5,57}, {11,15}, {10,33}, {3,19}, {13,63}, {11,57}, {14,31}, {5,15}, {14,56}, {8,23}, {3,20}, {14,45}, {6,48}, {2,61}, {6,56}, {13,27}, {14,57}, {14,29}, {2,33}, {6,32}, {4,38}, {11,29}, {10,56}, {10,42}, {11,27}, {10,47}, {8,16}, {4,24}, {2,52}, {8,30}, {12,46}, {8,46}, {8,37}, {5,41}, {6,60}, {12,38}, {13,30}, {6,39}, {6,49}, {10,26}, {2,17}, {7,33}, {12,31}, {3,52}, {5,37}, {13,20}, {13,55}, {9,56}, {13,42}, {9,35}, {1,36}, {6,18}, {1,29}, {13,51}, {6,46}, {7,56}, {10,35}, {13,58}, {5,50}, {12,52}, {13,16}, {5,34}, {3,17}, {13,41}, {6,34}, {1,43}, {4,62}, {7,54}, {8,19}, {3,38}, {1,18}, {5,27}, {8,18}, {9,59}, {4,18}, {3,47}, {14,35}, {7,32}, {12,24}, {7,60}, {3,31}, {11,22}, {1,39}, {13,49}, {6,27}, {7,53}, {2,30}, {9,58}, {7,19}, {4,32}, {4,60}, {2,44}, {1,30}, {12,15}, {14,28}, {4,53}, {11,36}, {13,48}, {3,55}, {9,51}, {10,57}, {2,24}, {3,24}, {10,36}, {14,15}, {2,51}, {11,33}, {8,60}, {11,48}, {8,47}, {4,41}, {9,38}, {14,21}, {7,46}, {3,59}, {10,61}, {12,17}, {3,62}, {2,23}, {4,45}, {1,51}, {10,19}, {11,34}, {7,35}, {1,22}, {9,31}, {10,29}, {13,56}, {1,25}, {11,61}, {4,17}, {9,16}, {9,30}, {8,53}, {7,28}, {12,18}, {2,16}, {14,52}, {10,22}, {11,62}, {12,45}, {4,34}, {12,29}, {1,57}, {9,52}, {7,61}, {11,54}, {12,25}, {1,16}, {14,43}, {1,44}, {10,54}, {7,49}, {7,39}, {3,41}, {1,32}, {9,44}, {4,59}, {14,63}, {8,32}, {10,28}, {9,24}, {2,19}, {6,20}, {2,54}, {7,40}, {12,50}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {1,60}, {10,21}, {9,21}, {9,23}, {7,21}, {13,44}, {2,45}, {4,55}, {3,48}, {3,33}, {10,50}, {10,15}, {9,28}, {3,34}, {4,27}, {11,47}, {14,59}, {4,46}, {2,31}, {5,58}, {3,54}, {8,58}, {12,36}, {6,63}, {3,45}, {7,47}, {2,37}, {5,29}, {12,53}, {4,25}, {11,19}, {8,33}, {13,62}, {12,39}, {10,63}, {14,49}, {1,53}, {12,60}, {14,24}, {5,51}, {13,34}, {11,41}, {7,25}, {13,35}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {1,15}, {7,26}, {1,50}, {7,18}, {2,47}, {1,23}, {5,16}, {11,20}, {5,55}, {14,42}, {3,40}, {8,61}, {13,23}, {2,40}, {8,54}, {6,21}, {9,45}, {12,59}, {12,57}, {9,63}, {13,28}, {3,27}, {7,63}, {2,38}, {2,59}, {12,32}, {10,43}, {6,55}, {5,62}, {6,53}, {9,49}, {11,55}, {6,62}, {4,20}, {5,44}, {4,52}, {1,46}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {4,39}, {6,35}, {11,50}, {1,37}, {1,58}, {8,25}, {4,48}, {11,26}, {5,48}, {2,58}, {5,30}, {10,49}, {9,37} }; // ETB63.121 // Bipartite(30,33) Valencies [22,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18235072868403562294858821402624000000000000 EdgesBipt[63][121]:={ {26,53}, {3,42}, {7,49}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {30,37}, {30,54}, {11,42}, {14,48}, {7,61}, {4,46}, {20,33}, {30,43}, {19,41}, {22,37}, {7,47}, {22,53}, {28,56}, {26,33}, {27,55}, {17,56}, {20,50}, {27,61}, {10,61}, {3,49}, {15,63}, {5,32}, {22,49}, {18,58}, {14,47}, {6,60}, {22,55}, {12,42}, {30,45}, {17,54}, {2,57}, {18,51}, {25,62}, {9,58}, {6,48}, {3,55}, {22,56}, {28,50}, {15,54}, {2,39}, {7,53}, {7,62}, {9,63}, {1,32}, {8,36}, {22,61}, {13,43}, {19,37}, {18,49}, {23,56}, {9,49}, {15,33}, {24,52}, {19,58}, {3,63}, {12,52}, {13,61}, {5,56}, {29,42}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {25,58}, {20,42}, {2,38}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {19,38}, {8,44}, {25,49}, {4,34}, {17,63}, {13,62}, {26,47}, {29,57}, {18,37}, {29,50}, {15,45}, {25,32}, {21,46}, {17,45}, {5,62}, {14,33}, {24,36}, {11,35}, {8,59}, {8,38}, {16,61}, {1,53}, {26,57}, {5,47}, {28,43}, {17,42}, {28,58}, {11,47}, {21,57}, {30,60}, {12,48}, {20,57}, {11,36}, {28,44}, {1,55}, {19,40}, {24,48}, {15,51}, {30,51}, {5,53}, {13,53}, {28,49}, {28,32}, {18,54}, {25,56}, {4,59}, {25,41}, {7,59}, {17,51}, {6,31}, {25,61}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {23,33}, {20,44}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {4,41}, {29,38}, {8,39}, {22,32}, {29,63}, {20,54}, {7,34}, {9,55}, {15,43}, {29,51}, {2,36}, {11,44}, {26,44}, {30,34}, {20,32}, {22,62}, {14,62}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {18,55}, {15,34}, {8,35}, {2,60}, {11,38}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {6,57}, {21,55}, {29,32}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {26,60}, {16,34}, {19,31}, {22,41}, {11,56}, {30,40}, {4,44}, {20,60}, {5,36}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {28,52}, {6,52}, {21,37}, {25,38}, {27,51}, {15,55}, {21,63}, {14,35}, {16,62}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {27,60}, {24,58}, {27,36}, {25,46}, {15,57}, {29,41}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {29,60}, {16,55}, {14,32}, {9,37}, {17,53}, {24,49}, {25,47}, {30,61}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {18,52}, {15,40}, {21,34}, {18,34}, {1,44}, {10,31}, {22,38}, {30,57}, {8,56}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {27,33}, {3,43}, {18,48}, {5,63}, {3,36}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {11,53}, {2,51}, {12,49}, {6,37}, {3,37}, {28,40}, {29,36}, {1,35}, {23,32}, {26,35}, {9,39}, {21,61}, {10,46}, {7,43}, {11,45}, {8,33}, {29,47}, {8,62}, {13,50}, {15,60}, {14,59}, {22,59}, {9,42}, {13,35}, {16,37}, {13,32}, {27,45}, {17,36}, {26,39}, {30,63}, {20,62}, {12,45}, {30,36}, {30,55}, {15,36}, {12,61}, {8,41}, {28,37}, {15,42}, {2,62}, {13,46}, {9,43}, {17,50}, {11,51}, {25,52}, {29,45}, {5,60}, {16,46}, {27,48}, {29,33}, {24,34}, {27,54}, {4,40}, {24,61}, {23,38}, {12,54}, {6,45}, {18,43}, {7,40}, {4,62}, {10,37}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {7,35}, {21,43}, {23,48}, {20,38}, {30,33}, {14,41}, {9,60}, {24,57}, {27,40}, {26,63}, {1,43}, {15,46}, {29,56}, {28,62}, {1,52}, {1,59}, {26,59}, {4,49}, {4,61}, {29,44}, {5,48}, {26,48}, {9,40}, {25,59}, {7,46}, {8,45}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {4,47}, {22,40}, {13,37}, {24,37}, {10,53}, {24,31}, {13,59}, {6,46}, {12,57}, {21,54}, {19,43}, {23,44}, {3,46}, {16,31}, {28,61}, {12,63}, {24,42}, {27,34}, {11,59}, {28,31}, {1,40}, {28,35}, {19,56}, {23,41}, {8,51}, {25,40}, {9,34}, {14,57}, {3,60}, {11,63}, {24,63}, {16,41}, {16,52}, {17,44}, {3,57}, {28,59}, {2,33}, {17,35}, {15,31}, {10,35}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {4,32}, {15,58}, {29,59}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {9,48}, {23,60}, {30,49}, {13,44}, {19,55}, {16,40}, {26,41}, {1,47}, {6,51}, {9,33}, {20,35}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {2,63}, {13,31}, {10,38}, {18,33}, {21,33}, {30,58}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {28,34}, {29,54}, {3,52}, {28,38}, {20,51}, {2,53}, {26,62}, {27,58}, {19,50}, {13,55}, {1,62}, {18,46}, {23,51}, {24,46}, {8,63}, {16,56}, {17,39}, {9,61}, {6,42}, {7,32}, {13,38}, {26,36}, {12,51}, {7,44}, {25,34}, {19,59}, {4,31}, {11,54}, {15,39}, {19,47}, {23,57}, {13,34}, {14,56}, {22,50}, {26,38}, {27,52}, {15,49}, {20,63}, {30,42}, {1,38}, {25,43}, {7,41}, {14,44}, {12,60}, {25,50}, {20,59}, {23,62}, {18,40}, {17,57}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {6,61}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {23,35}, {29,48}, {4,50}, {16,44}, {2,50}, {17,41}, {19,61}, {21,52}, {28,41}, {2,48}, {23,59}, {16,58}, {10,56}, {14,60}, {9,51}, {10,44}, {27,37}, {2,32}, {6,33}, {18,63}, {29,39}, {22,34}, {15,52}, {16,50}, {28,46}, {9,36}, {26,56}, {10,40}, {29,53}, {19,62}, {27,49}, {12,40}, {14,63}, {30,52}, {20,41}, {14,38}, {18,57}, {27,39}, {7,58}, {20,56}, {25,35}, {13,56}, {19,46}, {8,48}, {9,57}, {17,60}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {6,63}, {24,45}, {16,32}, {16,53}, {3,58}, {25,44}, {24,40}, {26,42}, {20,47}, {22,31}, {28,55}, {30,31}, {22,58}, {30,48}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {23,42}, {15,61}, {21,49}, {2,54}, {3,40}, {27,63}, {16,59}, {27,43}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {28,53}, {21,39}, {18,61}, {3,33}, {23,47}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {25,55}, {27,42}, {23,63}, {12,31}, {16,47}, {20,36}, {20,45}, {29,35}, {21,60}, {30,39}, {29,62}, {26,45}, {4,37}, {3,61}, {10,62}, {4,35}, {10,47}, {28,47}, {2,35}, {17,33}, {20,53}, {17,62}, {10,32}, {25,53}, {17,47}, {8,50}, {24,60}, {25,37}, {12,55}, {11,60}, {8,53}, {10,49}, {30,46}, {12,46}, {1,58}, {5,54} }; // ETB63.122 // Bipartite(7,56) Valencies [24,3] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29104017696422975515121418240000000 EdgesBipt[63][122]:={ {2,44}, {1,11}, {3,60}, {2,24}, {2,33}, {5,34}, {4,26}, {4,53}, {2,61}, {6,17}, {4,56}, {7,48}, {2,23}, {5,55}, {2,51}, {7,55}, {1,57}, {1,32}, {3,13}, {3,45}, {3,25}, {7,41}, {7,44}, {4,19}, {2,19}, {5,47}, {5,20}, {7,63}, {2,26}, {7,34}, {7,51}, {2,9}, {3,52}, {1,30}, {2,54}, {6,22}, {3,18}, {7,58}, {6,29}, {3,17}, {2,45}, {6,21}, {3,34}, {5,40}, {3,46}, {6,31}, {4,60}, {1,50}, {7,56}, {5,22}, {1,18}, {7,20}, {5,50}, {1,44}, {5,29}, {2,10}, {2,38}, {2,37}, {2,52}, {5,43}, {4,42}, {6,8}, {7,49}, {7,13}, {1,22}, {1,51}, {2,59}, {4,47}, {6,43}, {6,63}, {4,33}, {4,21}, {3,20}, {6,49}, {1,29}, {5,61}, {7,30}, {2,16}, {3,39}, {3,32}, {4,35}, {7,16}, {6,50}, {1,23}, {6,24}, {1,60}, {1,9}, {1,58}, {5,48}, {6,56}, {3,11}, {7,14}, {3,27}, {4,54}, {4,28}, {7,62}, {3,10}, {1,43}, {4,46}, {6,15}, {5,41}, {2,17}, {5,12}, {5,54}, {1,39}, {3,62}, {5,36}, {1,25}, {1,46}, {1,53}, {1,15}, {6,28}, {6,14}, {1,37}, {7,28}, {6,42}, {3,53}, {4,40}, {7,23}, {6,36}, {5,33}, {3,24}, {6,45}, {1,16}, {4,14}, {3,48}, {5,8}, {2,47}, {7,9}, {6,38}, {4,49}, {2,40}, {2,31}, {6,10}, {3,55}, {5,27}, {5,26}, {2,58}, {4,18}, {6,52}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {5,13}, {7,27}, {3,41}, {3,31}, {2,12}, {6,59}, {5,15}, {5,19}, {7,35}, {3,59}, {2,30}, {4,61}, {7,37}, {5,62}, {6,35}, {4,39}, {7,42}, {7,21}, {4,63}, {4,32}, {5,57}, {6,57}, {1,36} }; // ETB63.123 // Bipartite(7,56) Valencies [24,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 883500245173080686592 EdgesBipt[63][123]:={ {6,48}, {2,44}, {3,33}, {5,17}, {6,32}, {4,27}, {4,53}, {4,50}, {4,56}, {7,48}, {2,23}, {5,38}, {2,51}, {7,55}, {3,9}, {4,29}, {1,32}, {3,25}, {7,41}, {7,44}, {1,40}, {2,15}, {4,19}, {5,56}, {1,19}, {3,58}, {3,35}, {7,63}, {3,37}, {2,26}, {7,34}, {2,62}, {1,21}, {2,9}, {3,52}, {5,32}, {6,11}, {3,61}, {2,54}, {7,58}, {3,63}, {6,40}, {2,34}, {1,17}, {2,36}, {1,50}, {7,56}, {4,22}, {3,49}, {1,18}, {7,20}, {4,8}, {5,29}, {4,41}, {2,37}, {5,43}, {4,42}, {1,31}, {7,49}, {1,61}, {7,13}, {1,22}, {6,12}, {3,44}, {6,55}, {4,47}, {4,33}, {5,23}, {6,60}, {1,59}, {3,51}, {2,20}, {2,57}, {6,18}, {2,48}, {7,30}, {2,16}, {3,39}, {7,16}, {1,12}, {5,18}, {4,57}, {6,24}, {7,17}, {6,46}, {5,24}, {5,46}, {1,60}, {1,45}, {5,14}, {4,55}, {4,15}, {4,13}, {3,11}, {7,14}, {4,28}, {1,33}, {4,43}, {7,62}, {3,10}, {5,28}, {5,42}, {7,31}, {4,36}, {3,19}, {7,59}, {5,31}, {6,27}, {1,49}, {6,26}, {5,59}, {3,23}, {3,21}, {1,46}, {6,54}, {5,51}, {6,62}, {6,41}, {1,35}, {7,28}, {3,16}, {5,60}, {3,53}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {4,14}, {6,25}, {1,47}, {6,38}, {2,40}, {6,34}, {6,10}, {5,10}, {2,58}, {5,9}, {6,52}, {4,25}, {3,38}, {1,8}, {4,11}, {7,27}, {7,45}, {5,45}, {2,12}, {2,8}, {6,39}, {5,15}, {3,47}, {6,20}, {7,35}, {6,53}, {2,30}, {4,61}, {6,13}, {1,54}, {5,37}, {2,43}, {1,63}, {4,39}, {7,42}, {7,21}, {5,52}, {5,57}, {1,36}, {2,50} }; // ETB63.124 // Bipartite(7,56) Valencies [24,3] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 45097156608 EdgesBipt[63][124]:={ {6,48}, {5,17}, {2,33}, {6,16}, {4,26}, {5,63}, {3,8}, {4,16}, {2,61}, {6,17}, {4,56}, {7,48}, {2,23}, {2,51}, {1,57}, {1,32}, {3,13}, {1,27}, {7,41}, {1,40}, {7,54}, {7,61}, {2,15}, {4,19}, {5,56}, {7,22}, {3,58}, {2,62}, {1,21}, {2,9}, {5,32}, {6,11}, {4,23}, {7,58}, {4,38}, {3,34}, {5,40}, {2,25}, {4,10}, {2,34}, {5,22}, {3,49}, {7,57}, {1,18}, {7,20}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {2,10}, {2,38}, {2,37}, {5,43}, {7,46}, {4,42}, {3,56}, {1,31}, {7,13}, {2,53}, {2,59}, {6,55}, {4,47}, {6,63}, {6,43}, {4,33}, {3,20}, {1,59}, {3,51}, {2,57}, {1,29}, {7,30}, {7,50}, {3,39}, {4,35}, {7,26}, {1,12}, {2,32}, {5,18}, {6,24}, {6,44}, {7,17}, {5,46}, {1,60}, {5,49}, {3,11}, {7,14}, {3,27}, {4,54}, {4,28}, {5,28}, {1,52}, {6,15}, {5,41}, {4,36}, {7,47}, {5,12}, {3,19}, {4,9}, {1,24}, {6,27}, {1,49}, {3,23}, {3,62}, {3,21}, {1,25}, {1,46}, {1,53}, {6,62}, {7,29}, {6,14}, {5,39}, {4,37}, {6,42}, {5,60}, {4,40}, {3,30}, {4,51}, {2,29}, {6,45}, {1,26}, {2,22}, {1,16}, {4,14}, {3,48}, {6,25}, {6,38}, {2,31}, {6,34}, {6,10}, {3,55}, {2,58}, {5,9}, {6,52}, {1,8}, {4,12}, {5,13}, {3,28}, {7,45}, {5,45}, {3,41}, {7,24}, {3,31}, {6,39}, {5,15}, {7,33}, {3,47}, {6,20}, {5,21}, {2,30}, {4,61}, {3,59}, {6,53}, {5,35}, {1,54}, {2,60}, {7,52}, {5,37}, {7,19}, {2,43}, {6,35}, {3,36}, {4,44}, {7,42}, {4,63}, {1,36}, {2,50}, {7,18} }; // ETB63.125 // Bipartite(9,54) Valencies [24,4] // Diameter 4 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 432 EdgesBipt[63][125]:={ {8,48}, {3,33}, {1,20}, {9,28}, {4,27}, {2,46}, {5,34}, {3,22}, {5,63}, {3,40}, {1,10}, {1,56}, {4,30}, {2,61}, {8,30}, {7,48}, {2,23}, {8,42}, {8,28}, {9,55}, {1,32}, {7,41}, {7,61}, {4,31}, {9,49}, {4,62}, {2,27}, {3,58}, {5,47}, {7,63}, {3,37}, {2,26}, {8,39}, {2,62}, {3,52}, {2,41}, {9,53}, {2,28}, {2,14}, {1,30}, {5,32}, {8,15}, {9,35}, {8,44}, {8,27}, {2,54}, {9,11}, {6,22}, {7,58}, {3,17}, {3,63}, {2,25}, {3,46}, {6,31}, {1,38}, {1,17}, {2,36}, {9,48}, {1,50}, {7,56}, {5,22}, {7,57}, {8,19}, {9,29}, {6,58}, {7,20}, {7,11}, {5,50}, {2,10}, {8,47}, {9,19}, {2,37}, {8,14}, {8,45}, {4,42}, {5,25}, {2,39}, {1,31}, {8,60}, {7,13}, {7,25}, {7,43}, {6,12}, {3,44}, {6,30}, {4,47}, {6,43}, {4,33}, {9,54}, {6,60}, {9,34}, {6,49}, {2,57}, {6,18}, {4,59}, {8,63}, {2,48}, {1,29}, {3,39}, {4,35}, {7,16}, {7,26}, {6,33}, {2,32}, {8,36}, {5,18}, {4,57}, {1,23}, {6,24}, {6,44}, {6,46}, {9,56}, {5,24}, {9,37}, {5,46}, {8,53}, {1,60}, {1,45}, {8,13}, {8,22}, {1,58}, {8,56}, {4,55}, {9,20}, {4,13}, {6,61}, {3,50}, {3,27}, {4,54}, {3,29}, {3,10}, {1,43}, {1,52}, {5,41}, {8,57}, {6,51}, {5,12}, {9,40}, {5,54}, {8,21}, {3,19}, {7,59}, {1,49}, {5,59}, {8,23}, {3,62}, {3,21}, {9,12}, {5,51}, {7,29}, {6,41}, {1,15}, {6,28}, {2,11}, {3,16}, {4,40}, {7,23}, {9,18}, {4,51}, {3,24}, {8,38}, {1,26}, {4,34}, {1,16}, {4,14}, {9,17}, {1,62}, {1,47}, {6,38}, {4,49}, {9,36}, {6,10}, {3,55}, {5,26}, {3,42}, {9,38}, {4,25}, {4,11}, {4,12}, {9,52}, {9,61}, {5,13}, {7,45}, {5,45}, {7,24}, {3,31}, {1,14}, {6,59}, {8,51}, {6,39}, {5,15}, {2,55}, {7,33}, {6,20}, {7,35}, {5,21}, {6,53}, {9,15}, {2,18}, {1,34}, {2,60}, {5,37}, {7,19}, {2,43}, {4,17}, {6,35}, {3,36}, {9,21}, {7,40}, {4,44}, {7,42}, {5,52}, {4,32}, {5,53}, {2,50}, {5,16} }; // ETB63.126 // Bipartite(9,54) Valencies [24,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3743906242624487424000000000 EdgesBipt[63][126]:={ {2,44}, {8,48}, {1,11}, {9,58}, {2,24}, {1,20}, {2,33}, {6,16}, {6,32}, {4,27}, {4,24}, {8,12}, {9,60}, {3,22}, {5,63}, {2,56}, {3,40}, {4,16}, {1,10}, {1,56}, {8,30}, {6,17}, {7,48}, {5,38}, {2,51}, {7,55}, {8,42}, {3,13}, {8,33}, {7,54}, {2,15}, {4,19}, {5,56}, {7,22}, {9,49}, {1,19}, {2,27}, {3,58}, {5,47}, {5,20}, {7,63}, {3,37}, {9,43}, {2,26}, {8,39}, {2,62}, {7,36}, {5,32}, {8,15}, {8,44}, {2,54}, {2,42}, {6,22}, {7,58}, {2,45}, {7,12}, {3,46}, {6,40}, {6,31}, {1,38}, {4,10}, {4,60}, {1,17}, {2,36}, {9,48}, {3,49}, {7,57}, {6,58}, {3,14}, {1,55}, {5,50}, {5,11}, {1,44}, {5,29}, {8,41}, {2,38}, {8,14}, {7,46}, {4,42}, {7,39}, {3,56}, {8,60}, {4,45}, {7,49}, {1,61}, {7,13}, {2,53}, {2,35}, {6,43}, {4,33}, {5,23}, {3,20}, {9,34}, {6,49}, {9,42}, {2,20}, {4,52}, {1,29}, {7,30}, {8,17}, {3,32}, {9,25}, {5,18}, {6,50}, {5,30}, {6,44}, {8,53}, {5,48}, {8,35}, {5,14}, {4,55}, {4,15}, {1,28}, {6,61}, {3,11}, {3,50}, {9,51}, {4,54}, {4,28}, {4,43}, {3,29}, {3,10}, {6,23}, {1,43}, {4,46}, {8,26}, {1,52}, {9,22}, {7,31}, {5,41}, {4,36}, {2,17}, {8,57}, {9,13}, {5,12}, {9,40}, {5,54}, {8,32}, {8,21}, {3,19}, {9,57}, {6,26}, {5,59}, {3,23}, {8,23}, {5,36}, {8,62}, {1,25}, {9,12}, {1,46}, {1,53}, {6,62}, {6,41}, {6,14}, {2,11}, {9,30}, {1,35}, {1,37}, {5,39}, {7,28}, {4,37}, {4,51}, {2,29}, {1,26}, {4,34}, {1,16}, {8,50}, {8,24}, {1,62}, {2,47}, {6,25}, {1,47}, {9,33}, {6,34}, {3,55}, {5,27}, {4,18}, {6,52}, {9,39}, {4,25}, {3,38}, {9,52}, {9,61}, {3,28}, {7,10}, {7,27}, {7,45}, {5,45}, {3,41}, {3,31}, {9,24}, {6,59}, {8,51}, {3,47}, {5,21}, {4,61}, {3,59}, {6,53}, {9,15}, {6,13}, {7,37}, {2,18}, {1,34}, {2,60}, {9,31}, {7,19}, {2,63}, {6,35}, {9,16}, {9,21}, {7,40}, {7,21}, {8,59}, {4,63}, {5,57}, {7,18} }; // ETB63.127 // Bipartite(9,54) Valencies [24,4] // Diameter 4 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 14624633760251904 EdgesBipt[63][127]:={ {6,48}, {2,44}, {3,33}, {9,58}, {2,24}, {1,20}, {2,46}, {7,15}, {4,24}, {5,63}, {2,56}, {4,16}, {1,10}, {1,56}, {4,30}, {5,55}, {7,38}, {4,29}, {1,32}, {3,43}, {3,25}, {3,15}, {7,54}, {7,61}, {9,44}, {4,31}, {2,27}, {3,35}, {7,63}, {3,37}, {2,26}, {8,39}, {2,62}, {7,51}, {7,36}, {3,52}, {3,57}, {9,53}, {2,28}, {5,32}, {3,61}, {9,35}, {4,23}, {8,31}, {9,11}, {2,42}, {6,22}, {3,17}, {2,45}, {3,34}, {3,46}, {6,40}, {1,38}, {4,60}, {9,48}, {1,50}, {7,56}, {9,47}, {8,19}, {9,29}, {1,18}, {6,58}, {7,20}, {7,11}, {9,32}, {5,50}, {9,26}, {9,62}, {2,10}, {4,41}, {8,41}, {2,38}, {8,14}, {4,42}, {2,39}, {7,49}, {7,13}, {9,14}, {7,25}, {7,43}, {6,12}, {3,44}, {1,51}, {6,55}, {4,47}, {6,30}, {6,63}, {6,43}, {4,21}, {9,54}, {1,59}, {9,34}, {3,51}, {2,20}, {2,57}, {6,18}, {4,59}, {4,52}, {9,50}, {8,17}, {3,39}, {7,53}, {4,57}, {1,23}, {5,30}, {7,17}, {6,46}, {5,24}, {4,48}, {8,53}, {1,60}, {5,49}, {8,13}, {8,22}, {5,48}, {8,56}, {8,35}, {5,14}, {1,28}, {4,13}, {6,61}, {4,43}, {1,33}, {6,23}, {3,10}, {3,26}, {8,37}, {5,42}, {1,52}, {9,22}, {7,31}, {8,57}, {7,47}, {5,12}, {9,40}, {8,32}, {1,42}, {8,21}, {3,19}, {1,24}, {5,31}, {6,27}, {8,58}, {5,44}, {8,40}, {8,23}, {3,62}, {3,21}, {6,19}, {9,12}, {1,46}, {6,54}, {5,51}, {7,29}, {6,41}, {1,15}, {6,28}, {2,11}, {9,30}, {3,16}, {5,60}, {3,53}, {6,36}, {2,21}, {5,33}, {9,18}, {2,29}, {6,45}, {8,38}, {2,22}, {4,34}, {1,16}, {8,50}, {9,17}, {2,47}, {6,25}, {4,49}, {2,40}, {9,36}, {6,10}, {3,55}, {5,27}, {8,49}, {8,55}, {5,26}, {2,58}, {4,25}, {4,11}, {4,12}, {9,52}, {5,13}, {3,28}, {8,20}, {7,27}, {7,45}, {1,41}, {5,45}, {1,14}, {6,59}, {5,15}, {6,37}, {7,33}, {5,19}, {7,35}, {4,61}, {1,54}, {1,34}, {2,60}, {5,37}, {5,62}, {2,63}, {9,16}, {4,39}, {8,59}, {1,36}, {7,18} }; // ETB63.128 // Bipartite(9,54) Valencies [24,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 173946175488 EdgesBipt[63][128]:={ {6,48}, {2,44}, {1,11}, {9,58}, {5,17}, {1,20}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {5,34}, {4,24}, {5,63}, {1,10}, {7,48}, {2,23}, {1,13}, {8,43}, {7,38}, {8,54}, {8,28}, {3,45}, {3,25}, {7,41}, {1,40}, {7,61}, {5,56}, {4,19}, {4,31}, {2,19}, {9,49}, {4,62}, {3,58}, {3,35}, {2,26}, {7,34}, {1,21}, {7,51}, {3,52}, {8,10}, {2,41}, {3,57}, {2,14}, {5,32}, {6,11}, {8,27}, {6,22}, {3,18}, {3,17}, {8,16}, {3,63}, {6,21}, {1,38}, {4,60}, {1,17}, {9,48}, {7,56}, {7,11}, {1,44}, {5,29}, {8,41}, {2,38}, {9,19}, {8,14}, {4,42}, {5,25}, {9,41}, {2,39}, {7,32}, {3,56}, {1,31}, {3,12}, {7,13}, {2,53}, {9,14}, {3,44}, {6,55}, {4,47}, {6,63}, {6,43}, {4,33}, {3,20}, {6,49}, {3,51}, {9,42}, {2,20}, {2,57}, {6,18}, {4,59}, {8,63}, {9,50}, {5,61}, {7,50}, {2,16}, {3,39}, {7,53}, {4,35}, {9,25}, {7,26}, {8,36}, {5,18}, {6,50}, {5,30}, {9,37}, {5,46}, {8,53}, {1,60}, {8,13}, {8,22}, {1,58}, {8,56}, {9,10}, {4,55}, {4,15}, {7,14}, {4,54}, {4,28}, {1,33}, {7,62}, {3,29}, {6,23}, {1,43}, {4,46}, {8,37}, {8,26}, {5,42}, {1,52}, {9,22}, {2,17}, {9,13}, {9,40}, {5,54}, {1,42}, {7,59}, {9,57}, {6,27}, {5,44}, {8,40}, {5,59}, {3,62}, {5,36}, {1,25}, {9,12}, {4,58}, {6,54}, {1,53}, {6,62}, {7,29}, {1,15}, {6,28}, {2,11}, {9,30}, {1,37}, {5,60}, {7,23}, {6,36}, {3,30}, {5,33}, {8,34}, {4,51}, {3,24}, {6,45}, {1,26}, {2,22}, {4,34}, {1,16}, {8,24}, {2,47}, {1,47}, {6,38}, {6,10}, {3,55}, {5,27}, {8,49}, {8,55}, {9,39}, {4,12}, {9,52}, {4,20}, {3,28}, {7,45}, {5,45}, {8,61}, {1,48}, {7,24}, {3,31}, {2,12}, {6,59}, {9,46}, {8,51}, {5,15}, {6,37}, {3,47}, {5,19}, {7,35}, {4,61}, {2,30}, {9,15}, {2,60}, {9,31}, {2,43}, {6,35}, {3,36}, {9,21}, {4,39}, {7,40}, {9,23}, {7,21}, {8,29}, {5,52}, {4,32}, {5,57}, {2,50}, {2,49}, {7,18} }; // ETB63.129 // Bipartite(21,42) Valencies [24,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1008 EdgesBipt[63][129]:={ {3,42}, {1,63}, {15,28}, {14,48}, {4,46}, {20,26}, {16,28}, {19,41}, {7,47}, {2,26}, {17,56}, {4,60}, {20,50}, {8,28}, {3,62}, {14,49}, {5,32}, {4,24}, {18,58}, {8,37}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {6,48}, {13,27}, {15,54}, {7,53}, {7,28}, {18,38}, {2,24}, {9,63}, {15,50}, {20,27}, {4,28}, {8,36}, {13,43}, {19,37}, {17,29}, {18,49}, {9,49}, {10,29}, {19,58}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {16,57}, {5,61}, {12,32}, {14,25}, {3,25}, {10,27}, {1,41}, {14,54}, {7,63}, {21,35}, {8,24}, {20,42}, {19,49}, {6,34}, {17,22}, {4,38}, {1,49}, {7,54}, {16,33}, {19,38}, {7,26}, {11,27}, {13,51}, {17,63}, {13,29}, {13,48}, {10,22}, {15,45}, {10,42}, {17,43}, {21,46}, {5,62}, {14,33}, {11,35}, {3,32}, {11,31}, {18,29}, {19,30}, {8,52}, {5,55}, {17,42}, {11,47}, {20,28}, {18,50}, {10,25}, {20,57}, {11,36}, {14,22}, {19,40}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {18,54}, {7,59}, {2,37}, {9,50}, {5,26}, {6,31}, {2,41}, {2,59}, {5,50}, {16,23}, {21,30}, {5,45}, {3,48}, {4,41}, {9,22}, {18,53}, {7,51}, {8,39}, {7,34}, {9,55}, {15,43}, {18,27}, {11,44}, {13,33}, {18,35}, {10,23}, {20,32}, {1,26}, {18,31}, {9,27}, {3,51}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {2,60}, {18,59}, {11,38}, {6,40}, {1,50}, {9,31}, {20,39}, {4,39}, {1,22}, {6,57}, {21,55}, {6,39}, {17,48}, {2,45}, {1,42}, {16,34}, {8,49}, {14,23}, {4,45}, {11,56}, {1,27}, {5,22}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {12,33}, {5,38}, {1,37}, {14,50}, {8,60}, {21,37}, {1,29}, {2,34}, {21,63}, {15,27}, {12,41}, {16,62}, {4,56}, {3,31}, {2,47}, {5,29}, {21,25}, {15,57}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {5,51}, {16,55}, {11,58}, {14,32}, {9,37}, {11,41}, {8,34}, {8,61}, {18,52}, {21,34}, {1,44}, {10,31}, {11,49}, {13,23}, {16,60}, {12,58}, {1,28}, {18,48}, {3,36}, {20,23}, {4,58}, {12,47}, {18,22}, {21,56}, {7,29}, {11,53}, {6,37}, {17,28}, {20,61}, {7,36}, {13,26}, {8,33}, {8,62}, {9,44}, {15,60}, {14,59}, {9,42}, {21,50}, {19,57}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,23}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {20,62}, {12,61}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {5,60}, {9,59}, {15,30}, {4,40}, {16,36}, {12,54}, {11,61}, {18,43}, {7,40}, {17,37}, {21,27}, {10,37}, {9,46}, {10,52}, {7,55}, {21,23}, {21,43}, {15,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {1,52}, {9,23}, {14,26}, {4,61}, {9,40}, {14,31}, {5,59}, {11,62}, {11,33}, {5,58}, {7,25}, {5,30}, {13,59}, {6,46}, {2,49}, {12,57}, {19,43}, {14,46}, {6,56}, {10,57}, {16,31}, {12,63}, {6,23}, {10,26}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {17,44}, {2,33}, {10,35}, {9,47}, {18,36}, {3,24}, {6,55}, {7,27}, {4,32}, {19,39}, {2,27}, {15,35}, {13,41}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {2,43}, {4,63}, {9,62}, {19,55}, {6,51}, {3,59}, {20,35}, {8,42}, {15,38}, {7,38}, {14,30}, {17,24}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {4,25}, {10,38}, {10,60}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {14,52}, {6,25}, {3,52}, {20,51}, {19,42}, {17,34}, {6,62}, {13,55}, {1,62}, {12,26}, {16,56}, {10,30}, {17,58}, {17,39}, {9,61}, {7,44}, {17,52}, {19,59}, {11,46}, {4,31}, {11,54}, {15,39}, {10,39}, {19,47}, {13,34}, {18,24}, {3,56}, {21,24}, {15,49}, {20,63}, {5,37}, {3,44}, {8,23}, {2,29}, {14,44}, {12,60}, {20,59}, {1,36}, {18,40}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {19,53}, {2,46}, {13,58}, {6,26}, {11,55}, {15,41}, {19,45}, {16,44}, {4,50}, {2,50}, {17,41}, {4,48}, {11,30}, {19,61}, {21,52}, {8,43}, {7,39}, {10,56}, {9,38}, {2,32}, {14,55}, {4,23}, {16,63}, {16,50}, {19,48}, {10,40}, {19,62}, {17,40}, {7,45}, {8,46}, {20,41}, {14,38}, {18,57}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {19,46}, {8,48}, {11,40}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {16,32}, {18,62}, {16,53}, {3,58}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {14,58}, {7,50}, {19,34}, {13,47}, {10,45}, {15,53}, {15,61}, {2,54}, {21,49}, {3,40}, {16,59}, {12,36}, {15,56}, {3,33}, {1,57}, {19,25}, {18,41}, {21,28}, {5,57}, {16,49}, {12,37}, {13,60}, {17,30}, {5,24}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {3,61}, {12,29}, {10,62}, {4,35}, {20,53}, {10,32}, {17,47}, {21,38}, {6,59}, {12,55}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {6,29}, {2,31} }; // ETB63.130 // Bipartite(21,42) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4717321865706854154240000000 EdgesBipt[63][130]:={ {13,25}, {3,42}, {11,42}, {14,48}, {4,46}, {20,25}, {17,61}, {14,29}, {2,26}, {17,56}, {19,22}, {4,60}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {8,31}, {6,60}, {12,42}, {17,54}, {7,24}, {3,47}, {9,58}, {11,34}, {3,55}, {15,54}, {10,54}, {2,39}, {7,62}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {19,37}, {18,49}, {8,26}, {15,33}, {19,58}, {3,63}, {6,28}, {16,54}, {5,43}, {5,61}, {2,30}, {5,56}, {10,27}, {3,54}, {10,55}, {8,24}, {20,42}, {19,49}, {11,39}, {21,31}, {16,33}, {11,27}, {18,28}, {13,51}, {17,63}, {4,34}, {10,63}, {15,45}, {12,22}, {10,42}, {9,41}, {17,45}, {11,35}, {3,27}, {8,59}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {16,61}, {1,53}, {5,47}, {16,51}, {17,42}, {21,57}, {20,28}, {18,50}, {12,35}, {11,36}, {14,22}, {19,54}, {19,40}, {15,59}, {16,26}, {13,53}, {5,23}, {7,59}, {2,37}, {14,43}, {7,30}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {3,48}, {8,57}, {4,41}, {18,53}, {20,58}, {7,51}, {8,39}, {7,34}, {9,55}, {15,43}, {18,27}, {18,35}, {15,24}, {20,32}, {14,62}, {1,26}, {9,27}, {1,25}, {14,51}, {18,42}, {18,55}, {12,44}, {16,30}, {2,60}, {1,50}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {21,55}, {12,56}, {6,24}, {8,47}, {6,39}, {2,44}, {17,48}, {19,35}, {16,34}, {10,48}, {14,23}, {11,56}, {5,22}, {9,25}, {5,36}, {20,60}, {9,26}, {21,36}, {7,31}, {12,33}, {14,50}, {8,60}, {6,52}, {21,37}, {1,29}, {2,34}, {21,22}, {16,62}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {5,29}, {15,57}, {20,49}, {20,52}, {21,51}, {5,28}, {5,51}, {16,55}, {21,62}, {9,37}, {17,26}, {11,41}, {19,44}, {8,61}, {12,50}, {15,40}, {18,34}, {21,34}, {2,55}, {10,31}, {11,49}, {13,23}, {16,60}, {12,58}, {7,37}, {21,45}, {5,63}, {18,48}, {16,48}, {20,23}, {14,36}, {9,54}, {11,50}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {17,28}, {2,58}, {7,36}, {9,39}, {14,37}, {7,43}, {20,31}, {8,33}, {10,28}, {9,44}, {15,60}, {14,59}, {21,50}, {19,57}, {13,35}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {21,29}, {3,28}, {15,36}, {1,60}, {12,61}, {2,62}, {13,46}, {2,40}, {6,53}, {16,46}, {12,54}, {1,39}, {18,43}, {6,45}, {18,25}, {4,62}, {21,27}, {6,44}, {18,60}, {9,46}, {10,52}, {7,55}, {4,42}, {21,23}, {21,43}, {15,29}, {20,38}, {14,41}, {4,29}, {9,60}, {8,25}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {9,40}, {14,31}, {8,45}, {8,22}, {19,28}, {20,37}, {11,62}, {11,57}, {5,58}, {19,23}, {2,61}, {13,37}, {5,30}, {13,59}, {6,46}, {15,22}, {12,57}, {19,43}, {16,27}, {6,56}, {9,30}, {5,40}, {12,63}, {4,22}, {1,40}, {6,23}, {10,26}, {19,56}, {8,29}, {17,31}, {7,22}, {19,36}, {9,34}, {14,57}, {15,25}, {11,63}, {16,41}, {13,28}, {16,25}, {2,33}, {17,35}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {7,27}, {4,32}, {2,27}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {4,63}, {14,34}, {13,44}, {9,62}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {1,61}, {7,52}, {12,23}, {13,31}, {4,25}, {10,38}, {17,38}, {1,46}, {10,34}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,63}, {19,42}, {19,50}, {17,34}, {12,26}, {18,46}, {18,56}, {1,45}, {9,61}, {6,42}, {13,38}, {13,24}, {12,51}, {7,44}, {17,52}, {11,46}, {3,41}, {15,39}, {10,33}, {17,49}, {19,47}, {20,24}, {3,56}, {21,24}, {20,63}, {16,39}, {1,38}, {5,37}, {7,41}, {20,30}, {14,44}, {20,59}, {1,36}, {13,30}, {21,58}, {13,52}, {2,46}, {10,41}, {13,58}, {11,55}, {4,50}, {16,44}, {17,41}, {4,48}, {19,61}, {21,52}, {8,43}, {2,48}, {16,58}, {2,23}, {10,56}, {9,51}, {1,33}, {12,30}, {2,32}, {18,63}, {14,55}, {19,26}, {15,52}, {10,40}, {12,40}, {21,41}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {6,63}, {16,32}, {9,32}, {16,53}, {18,62}, {18,32}, {17,55}, {14,58}, {7,50}, {12,43}, {10,45}, {15,53}, {15,61}, {2,54}, {3,40}, {20,46}, {12,36}, {13,49}, {3,33}, {1,57}, {1,24}, {15,26}, {18,41}, {5,57}, {4,53}, {12,37}, {13,60}, {16,47}, {15,47}, {20,45}, {13,45}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {17,33}, {20,53}, {17,62}, {17,47}, {8,50}, {13,63}, {21,38}, {6,59}, {11,60}, {8,53}, {10,49}, {4,36}, {5,54} }; // ETB63.131 // Bipartite(21,42) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 26330359136256 EdgesBipt[63][131]:={ {3,42}, {1,63}, {15,28}, {6,36}, {7,61}, {14,48}, {4,46}, {20,26}, {3,29}, {20,33}, {20,25}, {14,29}, {7,47}, {2,26}, {17,56}, {4,60}, {20,50}, {7,57}, {10,61}, {3,49}, {14,49}, {5,32}, {18,58}, {5,52}, {14,47}, {8,31}, {6,60}, {12,42}, {17,54}, {7,24}, {18,51}, {9,58}, {11,34}, {3,55}, {13,27}, {12,25}, {2,39}, {7,28}, {18,38}, {2,24}, {7,53}, {7,62}, {15,50}, {4,28}, {19,51}, {13,43}, {19,37}, {17,29}, {8,26}, {15,62}, {10,29}, {15,33}, {19,58}, {3,63}, {13,22}, {16,54}, {5,43}, {5,61}, {20,22}, {5,56}, {3,25}, {21,35}, {2,38}, {2,52}, {19,49}, {12,27}, {19,60}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {7,26}, {11,27}, {18,28}, {8,44}, {13,51}, {4,34}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {9,41}, {17,43}, {17,45}, {14,33}, {3,32}, {3,27}, {8,59}, {11,37}, {19,30}, {16,61}, {1,53}, {5,47}, {17,42}, {11,47}, {12,35}, {20,57}, {14,22}, {19,54}, {19,40}, {15,59}, {16,26}, {10,51}, {14,61}, {5,23}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {8,40}, {2,41}, {1,31}, {11,48}, {6,35}, {21,30}, {21,44}, {9,22}, {18,53}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {11,44}, {10,23}, {20,32}, {14,62}, {1,26}, {9,27}, {1,25}, {14,51}, {5,46}, {18,42}, {18,55}, {15,34}, {12,44}, {8,58}, {8,35}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {4,39}, {1,22}, {6,57}, {21,55}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {17,48}, {19,35}, {1,42}, {8,49}, {10,48}, {19,31}, {14,23}, {4,45}, {2,28}, {20,43}, {20,60}, {9,26}, {12,39}, {21,36}, {7,31}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {2,34}, {21,22}, {21,63}, {14,35}, {12,41}, {5,42}, {21,59}, {6,49}, {4,56}, {11,32}, {2,47}, {10,43}, {5,29}, {15,57}, {9,28}, {20,52}, {2,56}, {20,40}, {16,35}, {5,28}, {5,51}, {16,55}, {21,62}, {11,58}, {8,30}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {9,29}, {8,61}, {12,50}, {18,52}, {21,34}, {2,55}, {1,44}, {13,23}, {16,60}, {12,58}, {19,32}, {21,45}, {1,28}, {3,43}, {5,63}, {14,36}, {7,42}, {9,54}, {6,43}, {7,29}, {11,53}, {2,51}, {12,49}, {12,28}, {1,35}, {17,28}, {20,61}, {21,61}, {10,46}, {14,37}, {7,43}, {20,31}, {8,33}, {10,28}, {8,62}, {13,50}, {9,44}, {15,60}, {9,42}, {21,50}, {8,55}, {1,54}, {2,25}, {17,23}, {18,44}, {3,28}, {15,36}, {10,36}, {8,41}, {15,42}, {2,62}, {2,40}, {9,43}, {11,51}, {6,53}, {5,60}, {16,46}, {9,59}, {16,36}, {12,54}, {11,61}, {1,39}, {7,40}, {17,37}, {18,25}, {4,62}, {21,27}, {10,37}, {2,42}, {18,60}, {4,42}, {3,53}, {15,29}, {20,38}, {1,30}, {15,46}, {13,36}, {9,23}, {1,59}, {16,22}, {3,35}, {4,49}, {18,23}, {9,40}, {8,45}, {11,62}, {11,33}, {5,58}, {19,23}, {7,25}, {2,61}, {13,37}, {8,27}, {5,30}, {13,59}, {6,46}, {15,22}, {12,57}, {16,27}, {9,30}, {10,57}, {3,46}, {16,31}, {12,63}, {18,30}, {4,22}, {6,50}, {1,40}, {1,23}, {17,31}, {14,57}, {15,25}, {6,22}, {3,60}, {16,41}, {16,52}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {17,59}, {14,24}, {3,24}, {6,55}, {4,32}, {19,39}, {2,27}, {13,41}, {15,48}, {8,54}, {18,39}, {3,38}, {4,63}, {14,34}, {13,44}, {11,23}, {16,40}, {8,32}, {7,38}, {14,30}, {17,24}, {7,52}, {13,31}, {12,53}, {4,51}, {4,25}, {10,60}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,56}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {6,25}, {3,52}, {2,53}, {19,63}, {17,34}, {13,55}, {12,26}, {18,46}, {8,63}, {18,56}, {1,45}, {13,38}, {11,26}, {13,24}, {13,57}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {13,34}, {20,24}, {18,24}, {3,56}, {21,24}, {5,37}, {3,44}, {14,44}, {20,59}, {1,36}, {17,57}, {13,30}, {9,45}, {21,58}, {13,52}, {19,53}, {3,39}, {7,56}, {13,58}, {6,26}, {11,55}, {19,45}, {4,50}, {17,41}, {4,48}, {11,30}, {21,52}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {12,30}, {19,26}, {4,23}, {16,63}, {16,50}, {19,48}, {9,36}, {19,62}, {18,47}, {6,27}, {12,40}, {21,41}, {14,63}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {11,25}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {9,57}, {5,44}, {5,35}, {21,48}, {1,51}, {6,63}, {16,32}, {3,58}, {18,32}, {17,55}, {20,47}, {14,58}, {16,45}, {12,43}, {19,34}, {15,53}, {15,61}, {2,54}, {21,49}, {16,59}, {20,46}, {12,36}, {15,56}, {18,61}, {19,25}, {18,41}, {16,38}, {5,57}, {16,49}, {4,53}, {5,24}, {7,33}, {16,47}, {20,36}, {15,47}, {20,45}, {13,45}, {4,37}, {12,29}, {10,62}, {4,35}, {10,47}, {20,53}, {17,62}, {10,32}, {16,24}, {21,38}, {12,55}, {11,60}, {6,41}, {10,49}, {4,36}, {1,58}, {6,29} }; // ETB63.132 // Bipartite(21,42) Valencies [24,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 63417876480 EdgesBipt[63][132]:={ {3,42}, {15,28}, {13,40}, {11,42}, {14,48}, {4,46}, {20,26}, {16,28}, {20,33}, {17,61}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {4,60}, {20,50}, {7,57}, {10,61}, {3,49}, {15,63}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {18,51}, {3,55}, {12,25}, {15,54}, {10,54}, {2,39}, {18,38}, {2,24}, {7,53}, {9,63}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {19,37}, {17,29}, {15,33}, {19,58}, {3,63}, {13,22}, {6,28}, {5,43}, {13,61}, {2,30}, {5,56}, {10,27}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {21,35}, {20,42}, {2,38}, {8,24}, {4,52}, {19,49}, {12,27}, {19,60}, {6,34}, {17,22}, {11,39}, {21,31}, {7,54}, {7,26}, {11,27}, {7,60}, {13,29}, {13,62}, {10,63}, {15,45}, {20,29}, {12,22}, {10,42}, {9,41}, {17,43}, {21,46}, {14,33}, {17,25}, {11,35}, {18,29}, {19,30}, {8,52}, {14,27}, {16,61}, {1,53}, {5,47}, {5,55}, {11,47}, {18,50}, {10,25}, {12,48}, {20,57}, {11,36}, {19,54}, {1,55}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {7,59}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {2,59}, {6,35}, {5,50}, {16,23}, {20,44}, {8,57}, {18,53}, {7,51}, {8,39}, {20,54}, {15,43}, {2,36}, {11,44}, {18,35}, {15,24}, {20,32}, {14,62}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {5,46}, {15,34}, {8,58}, {2,60}, {18,59}, {11,38}, {6,40}, {7,23}, {4,39}, {1,22}, {21,55}, {16,43}, {2,44}, {2,45}, {10,48}, {19,31}, {14,23}, {4,45}, {11,56}, {5,22}, {9,26}, {12,39}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {21,37}, {15,55}, {15,27}, {16,62}, {21,59}, {6,49}, {11,32}, {3,31}, {2,47}, {5,29}, {21,25}, {15,57}, {2,56}, {19,24}, {21,40}, {5,28}, {21,62}, {14,32}, {17,26}, {11,41}, {8,34}, {9,29}, {8,61}, {4,33}, {15,40}, {21,34}, {1,44}, {10,31}, {13,23}, {12,58}, {19,52}, {3,43}, {3,36}, {20,23}, {17,46}, {4,58}, {9,54}, {6,43}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {12,28}, {3,37}, {1,35}, {17,28}, {7,36}, {9,39}, {21,61}, {10,46}, {11,24}, {11,45}, {8,33}, {10,28}, {13,50}, {14,59}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {13,32}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {12,45}, {20,62}, {15,36}, {10,36}, {16,29}, {12,61}, {15,42}, {2,62}, {17,50}, {6,53}, {16,46}, {9,59}, {15,30}, {4,40}, {17,37}, {10,37}, {6,44}, {2,42}, {18,60}, {10,52}, {7,35}, {4,42}, {14,41}, {9,60}, {8,25}, {5,34}, {1,43}, {15,46}, {1,52}, {1,59}, {16,22}, {4,49}, {14,26}, {18,23}, {4,61}, {8,22}, {8,45}, {6,47}, {19,28}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {13,37}, {8,27}, {13,59}, {6,46}, {15,22}, {12,57}, {19,43}, {6,56}, {9,30}, {10,57}, {16,31}, {12,63}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {1,23}, {19,36}, {15,25}, {6,22}, {3,60}, {11,63}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {6,32}, {17,35}, {15,31}, {9,47}, {4,27}, {17,59}, {18,36}, {14,24}, {3,24}, {6,55}, {7,27}, {19,39}, {2,27}, {21,53}, {13,41}, {15,48}, {8,54}, {19,33}, {3,34}, {18,39}, {9,48}, {4,63}, {13,44}, {9,62}, {11,23}, {19,55}, {16,40}, {1,47}, {9,33}, {20,35}, {8,42}, {14,30}, {7,38}, {1,61}, {2,63}, {4,54}, {13,31}, {5,31}, {4,51}, {4,25}, {10,60}, {3,30}, {18,33}, {17,38}, {1,56}, {1,46}, {10,34}, {21,47}, {7,48}, {5,49}, {6,25}, {3,52}, {20,51}, {17,34}, {6,62}, {13,55}, {1,62}, {8,63}, {18,56}, {10,30}, {17,58}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {9,56}, {4,31}, {11,54}, {10,33}, {17,49}, {10,39}, {13,34}, {20,24}, {18,24}, {15,49}, {20,63}, {1,38}, {5,37}, {2,29}, {20,30}, {14,44}, {19,27}, {12,60}, {20,48}, {14,39}, {14,42}, {21,58}, {13,52}, {6,61}, {18,45}, {3,39}, {7,56}, {13,58}, {6,26}, {12,34}, {19,45}, {16,44}, {2,50}, {17,41}, {4,48}, {21,52}, {8,43}, {2,48}, {16,58}, {2,23}, {7,39}, {14,60}, {9,51}, {9,38}, {12,30}, {18,63}, {15,52}, {16,50}, {19,48}, {9,36}, {10,40}, {12,40}, {21,41}, {14,63}, {17,40}, {7,45}, {20,41}, {8,46}, {14,38}, {18,57}, {20,56}, {13,56}, {19,46}, {8,48}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {16,32}, {9,32}, {16,53}, {18,62}, {3,58}, {18,32}, {17,55}, {21,32}, {21,26}, {20,47}, {7,50}, {12,43}, {19,34}, {15,61}, {21,49}, {3,40}, {16,59}, {12,36}, {13,49}, {3,33}, {19,25}, {18,41}, {21,28}, {16,38}, {16,49}, {12,37}, {10,58}, {7,33}, {16,47}, {20,36}, {20,45}, {4,37}, {3,61}, {2,35}, {20,53}, {17,62}, {17,47}, {21,38}, {12,55}, {11,60}, {6,41}, {10,49}, {12,46}, {1,58}, {6,29} }; // ETB63.133 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 1296 EdgesBipt[63][133]:={ {26,53}, {3,42}, {7,49}, {1,63}, {15,28}, {26,54}, {26,50}, {13,40}, {24,33}, {11,42}, {14,48}, {3,29}, {20,33}, {19,41}, {24,59}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {27,61}, {8,28}, {10,61}, {3,62}, {4,57}, {15,63}, {22,49}, {5,52}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {17,54}, {2,57}, {25,62}, {3,47}, {9,58}, {11,52}, {15,54}, {2,39}, {18,38}, {7,53}, {7,62}, {9,63}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {23,56}, {10,29}, {15,33}, {24,52}, {19,58}, {6,28}, {12,52}, {5,43}, {13,61}, {16,57}, {5,61}, {12,32}, {23,50}, {4,30}, {7,63}, {10,55}, {21,35}, {2,52}, {23,45}, {19,60}, {6,34}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {19,38}, {18,28}, {8,44}, {25,49}, {4,34}, {22,28}, {13,48}, {13,62}, {26,47}, {10,63}, {15,45}, {25,32}, {20,29}, {14,40}, {9,41}, {21,46}, {23,58}, {17,45}, {5,62}, {23,34}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {11,37}, {25,28}, {18,29}, {25,51}, {22,29}, {16,61}, {26,57}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {20,28}, {12,35}, {12,48}, {20,57}, {19,54}, {1,55}, {24,48}, {15,59}, {10,51}, {15,51}, {14,61}, {18,54}, {25,56}, {25,41}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {25,45}, {9,53}, {25,61}, {1,31}, {2,41}, {6,58}, {17,32}, {5,50}, {21,30}, {21,44}, {26,58}, {27,62}, {5,45}, {3,48}, {27,57}, {21,42}, {8,57}, {4,41}, {13,54}, {7,51}, {8,39}, {22,32}, {20,54}, {7,34}, {9,55}, {2,36}, {13,33}, {26,44}, {18,35}, {14,62}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {5,46}, {18,55}, {15,34}, {12,44}, {24,30}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {6,40}, {1,50}, {24,44}, {9,31}, {20,39}, {5,33}, {4,39}, {27,41}, {6,57}, {21,55}, {12,56}, {25,60}, {16,43}, {2,44}, {17,48}, {19,35}, {1,42}, {8,49}, {10,48}, {22,41}, {11,56}, {2,28}, {20,43}, {4,44}, {5,36}, {12,39}, {24,54}, {21,36}, {14,53}, {26,43}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {21,37}, {25,38}, {27,51}, {1,29}, {26,37}, {2,34}, {15,55}, {21,63}, {16,62}, {5,42}, {6,49}, {4,56}, {3,31}, {23,39}, {10,43}, {5,29}, {27,60}, {24,58}, {27,36}, {25,46}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {21,51}, {21,40}, {5,51}, {25,33}, {8,30}, {14,32}, {9,37}, {17,53}, {24,49}, {11,41}, {19,44}, {22,46}, {9,52}, {8,34}, {8,61}, {23,46}, {12,50}, {18,52}, {21,34}, {18,34}, {2,55}, {10,31}, {22,38}, {11,49}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {3,43}, {18,48}, {3,36}, {14,36}, {7,42}, {4,58}, {6,43}, {11,50}, {24,50}, {26,31}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {1,35}, {17,28}, {2,58}, {23,32}, {26,35}, {20,61}, {7,36}, {10,46}, {14,37}, {22,33}, {20,31}, {8,33}, {11,45}, {10,28}, {13,50}, {15,60}, {14,59}, {24,53}, {9,42}, {21,50}, {19,57}, {13,35}, {16,37}, {1,54}, {13,32}, {17,36}, {3,28}, {20,62}, {12,45}, {15,36}, {10,36}, {1,60}, {12,61}, {8,41}, {2,62}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {5,60}, {16,46}, {27,48}, {27,54}, {4,40}, {24,61}, {16,36}, {12,54}, {6,45}, {18,43}, {7,40}, {17,37}, {4,62}, {6,44}, {25,36}, {22,52}, {24,51}, {7,55}, {12,62}, {22,48}, {7,35}, {27,47}, {21,43}, {3,53}, {15,29}, {20,38}, {4,29}, {9,60}, {24,57}, {26,63}, {26,34}, {1,30}, {1,43}, {15,46}, {1,52}, {1,59}, {26,59}, {3,35}, {5,48}, {9,40}, {25,59}, {7,46}, {8,45}, {19,28}, {20,37}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {2,61}, {4,47}, {22,40}, {13,37}, {24,37}, {10,53}, {5,30}, {6,46}, {2,49}, {23,44}, {14,46}, {6,56}, {9,30}, {10,57}, {24,62}, {16,31}, {22,36}, {22,30}, {26,40}, {27,34}, {19,56}, {8,29}, {15,44}, {23,41}, {25,40}, {11,63}, {13,28}, {17,44}, {6,32}, {17,35}, {15,31}, {24,47}, {9,47}, {10,59}, {6,55}, {27,46}, {4,32}, {12,59}, {15,35}, {21,53}, {5,41}, {13,41}, {8,54}, {19,29}, {18,39}, {9,48}, {3,38}, {25,48}, {4,63}, {14,34}, {23,60}, {9,62}, {19,55}, {16,40}, {1,47}, {3,59}, {9,33}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {1,61}, {7,52}, {2,63}, {4,54}, {13,31}, {23,40}, {5,31}, {4,51}, {10,38}, {10,60}, {3,30}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {25,39}, {24,28}, {14,52}, {5,49}, {11,28}, {13,39}, {2,53}, {19,42}, {24,29}, {24,56}, {27,58}, {19,50}, {17,34}, {18,46}, {23,51}, {18,56}, {1,45}, {16,56}, {10,30}, {17,58}, {9,61}, {6,42}, {22,54}, {13,57}, {7,44}, {17,52}, {19,59}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {19,47}, {23,57}, {26,38}, {3,56}, {27,52}, {15,49}, {20,63}, {16,39}, {1,38}, {25,43}, {3,44}, {20,30}, {14,44}, {20,59}, {23,62}, {18,40}, {26,30}, {13,30}, {20,48}, {14,42}, {21,58}, {13,52}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {11,55}, {23,35}, {15,41}, {19,45}, {16,44}, {4,50}, {23,31}, {17,41}, {4,48}, {19,61}, {8,43}, {2,48}, {23,59}, {16,58}, 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// ETB63.134 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 23328 EdgesBipt[63][134]:={ {26,53}, {3,42}, {1,63}, {15,28}, {26,54}, {26,50}, {13,40}, {24,33}, {11,42}, {14,48}, {7,61}, {16,28}, {20,33}, {17,61}, {25,42}, {22,37}, {7,47}, {22,53}, {26,33}, {27,55}, {27,61}, {8,28}, {3,49}, {3,62}, {15,63}, {14,49}, {22,49}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {17,54}, {2,57}, {18,51}, {3,47}, {9,58}, {11,52}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {2,39}, {7,53}, {9,63}, {15,50}, {1,32}, {19,51}, {8,36}, {22,61}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {9,49}, {15,62}, {15,33}, {19,58}, {6,28}, {12,52}, {13,61}, {16,57}, {5,61}, {12,32}, {2,30}, {25,63}, {5,56}, {1,41}, {23,50}, {23,54}, {3,54}, {21,35}, {25,58}, {2,38}, {23,45}, {4,52}, {6,34}, {4,38}, {1,49}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {18,28}, {25,49}, {17,63}, {26,46}, {7,60}, {13,29}, {22,28}, {13,48}, {26,47}, {10,63}, {25,29}, 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{15,32}, {14,38}, {6,30}, {7,58}, {20,56}, {25,35}, {13,56}, {19,46}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {14,45}, {4,43}, {6,63}, {24,45}, {18,62}, {16,53}, {27,28}, {25,44}, {17,55}, {24,40}, {23,30}, {20,47}, {22,31}, {14,58}, {16,45}, {22,35}, {7,50}, {19,34}, {23,37}, {21,49}, {27,63}, {16,59}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {15,56}, {18,61}, {3,33}, {22,63}, {20,55}, {23,43}, {21,28}, {23,36}, {16,38}, {5,57}, {4,53}, {12,37}, {10,58}, {17,30}, {27,42}, {24,41}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {26,55}, {13,45}, {4,37}, {22,57}, {3,61}, {12,29}, {10,62}, {10,47}, {2,35}, {20,53}, {17,62}, {10,32}, {25,53}, {8,50}, {13,63}, {24,60}, {12,55}, {8,53}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB63.135 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 31510205916601355645516043383734272000000000 EdgesBipt[63][135]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {7,61}, {4,46}, {16,28}, {20,33}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {20,50}, {27,61}, {10,61}, {3,49}, {15,63}, {5,32}, {22,49}, {18,58}, {14,47}, {6,60}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {25,62}, {9,58}, {6,48}, {3,55}, {22,56}, {15,54}, {2,39}, {7,28}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {8,36}, {22,61}, {13,43}, {19,37}, {17,29}, {18,49}, {23,29}, {23,56}, {9,49}, {10,29}, {15,33}, {24,52}, {19,58}, {3,63}, {6,28}, {12,52}, {13,61}, {2,30}, {5,56}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {25,58}, {2,38}, {20,42}, {23,45}, {23,53}, {4,52}, {19,49}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {19,38}, {18,28}, {8,44}, {25,49}, {4,34}, {17,63}, {13,29}, {22,28}, {13,62}, {26,47}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {21,46}, {17,45}, {5,62}, {14,33}, {24,36}, {11,35}, {8,59}, {25,28}, {8,38}, {22,29}, {11,29}, 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{25,44}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {23,42}, {15,61}, {2,54}, {21,49}, {3,40}, {27,63}, {16,59}, {27,43}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {18,61}, {3,33}, {23,47}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {17,30}, {25,55}, {27,42}, {23,63}, {12,31}, {16,47}, {20,36}, {20,45}, {21,60}, {26,45}, {4,37}, {3,61}, {10,62}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {17,62}, {10,32}, {25,53}, {17,47}, {8,50}, {24,60}, {25,37}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB63.136 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 101085468550861160448000000 EdgesBipt[63][136]:={ {26,53}, {7,49}, {15,28}, {26,54}, {13,40}, {6,36}, {24,33}, {7,61}, {14,48}, {4,46}, {3,29}, {20,33}, {19,41}, {25,42}, {22,37}, {14,29}, {22,53}, {26,33}, {4,60}, {20,50}, {8,28}, 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{22,54}, {12,51}, {7,44}, {20,34}, {27,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {3,41}, {15,39}, {19,47}, {13,34}, {14,56}, {3,56}, {15,49}, {20,63}, {16,39}, {1,38}, {5,37}, {25,43}, {3,44}, {14,44}, {25,50}, {23,62}, {25,54}, {17,57}, {26,30}, {13,30}, {9,45}, {14,42}, {21,58}, {13,52}, {6,61}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {11,55}, {23,35}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {19,61}, {21,52}, {23,59}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {25,57}, {2,32}, {6,33}, {18,63}, {14,55}, {22,34}, {27,30}, {16,63}, {15,52}, {16,50}, {9,36}, {10,40}, {19,62}, {18,47}, {12,40}, {21,41}, {17,40}, {23,61}, {7,45}, {8,46}, {14,38}, {18,57}, {27,39}, {6,30}, {20,56}, {19,46}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {5,44}, {5,35}, {3,45}, {4,43}, {6,63}, {24,45}, {16,32}, {9,32}, {18,62}, {3,58}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {22,31}, {16,45}, {22,58}, {22,35}, {7,50}, {26,29}, {19,34}, {13,47}, {23,37}, {23,42}, {15,61}, {3,40}, {27,63}, {20,46}, {22,42}, {13,49}, {26,51}, {21,39}, {3,33}, {27,35}, {23,47}, {20,55}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {22,43}, {16,49}, {4,53}, {10,58}, {13,60}, {17,30}, {25,55}, {27,42}, {7,33}, {20,45}, {27,29}, {26,45}, {4,37}, {12,29}, {10,62}, {4,35}, {10,47}, {17,33}, {10,32}, {17,47}, {21,38}, {24,60}, {25,37}, {8,53}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {2,31} }; // ETB63.137 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2875319994335606341632 EdgesBipt[63][137]:={ {26,53}, {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {7,61}, {4,46}, {16,28}, {19,41}, {24,59}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {4,60}, {27,61}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {22,49}, {18,58}, {5,52}, {14,47}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {25,62}, {9,58}, {6,48}, {11,52}, {11,34}, 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{24,41}, {23,63}, {12,31}, {16,47}, {20,36}, {20,45}, {21,60}, {26,45}, {4,37}, {22,57}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {17,62}, {10,32}, {25,53}, {17,47}, {8,50}, {25,37}, {6,59}, {12,55}, {8,53}, {6,41}, {12,46}, {5,54}, {2,31} }; // ETB63.138 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9476762676643233792 EdgesBipt[63][138]:={ {1,63}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {4,46}, {17,61}, {24,59}, {25,42}, {22,37}, {14,29}, {22,53}, {17,56}, {4,60}, {20,50}, {27,61}, {8,28}, {7,57}, {10,61}, {4,57}, {14,49}, {5,32}, {22,49}, {18,58}, {8,37}, {14,47}, {6,60}, {17,54}, {18,51}, {25,62}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {27,53}, {3,55}, {10,54}, {2,39}, {18,38}, {7,53}, {7,62}, {9,63}, {15,50}, {1,32}, {4,28}, {19,51}, {8,36}, {22,61}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {15,62}, {15,33}, {24,52}, {3,63}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {16,57}, {5,61}, {22,51}, {12,32}, {2,30}, {5,56}, {23,54}, {4,30}, {10,55}, {14,54}, {21,35}, {25,58}, {2,38}, {20,42}, {2,52}, {23,53}, {4,52}, {19,49}, {1,49}, {11,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {13,51}, {4,34}, {26,46}, {7,60}, {13,29}, {22,28}, {13,48}, {26,47}, {10,63}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {9,41}, {21,46}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {8,38}, {18,29}, {19,30}, {22,29}, {8,52}, {11,29}, {5,47}, {5,55}, {17,42}, {11,47}, {21,57}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {19,54}, {1,55}, {19,40}, {24,48}, {15,59}, {10,51}, {5,53}, {13,53}, {14,61}, {27,32}, {25,56}, {25,41}, {9,50}, {14,43}, {25,45}, {7,30}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {2,59}, {17,32}, {6,35}, {21,44}, {26,58}, {27,62}, {3,48}, {27,57}, {4,41}, {18,53}, {20,58}, {13,54}, {7,34}, {20,54}, {22,45}, {15,43}, {27,56}, {13,33}, {26,44}, {18,35}, {14,51}, {26,32}, {3,51}, {16,42}, {12,44}, {16,30}, {8,58}, {8,35}, {18,59}, {11,38}, {6,40}, {1,50}, {20,39}, {4,39}, {27,41}, {6,57}, {21,55}, {12,56}, {25,60}, {16,43}, {8,47}, {10,50}, {24,43}, {17,48}, {26,60}, {1,42}, {16,34}, {8,49}, {19,31}, {22,41}, {4,45}, {2,28}, {20,43}, {5,36}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {22,60}, {1,37}, {8,60}, {6,52}, {25,38}, {27,51}, {26,37}, {2,34}, {15,55}, {21,63}, {14,35}, {16,62}, {5,42}, {21,59}, {6,49}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {25,46}, {15,57}, {26,49}, {20,52}, {20,40}, {21,51}, {21,40}, {5,51}, {16,55}, {25,33}, {11,58}, {8,30}, {14,32}, {9,37}, {27,38}, {26,52}, {24,49}, {11,41}, {19,44}, {22,46}, {24,55}, {8,34}, {9,29}, {8,61}, {4,33}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {8,56}, {16,60}, {12,58}, {19,32}, {21,45}, {1,28}, {19,52}, {27,33}, {3,43}, {5,63}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {6,43}, {11,50}, {24,50}, {12,47}, {21,56}, {7,29}, {11,53}, {2,51}, {6,37}, {12,28}, {17,28}, {2,58}, {23,32}, {26,35}, {7,36}, {9,39}, {14,37}, {22,33}, {7,43}, {20,31}, {10,28}, {8,62}, {9,44}, {15,60}, {14,59}, {24,53}, {19,57}, {1,54}, {27,45}, {17,36}, {18,44}, {3,28}, {9,35}, {12,45}, {20,62}, {15,36}, {16,29}, {27,59}, {2,62}, {13,46}, {2,40}, {17,50}, {11,51}, {6,53}, {5,60}, {16,46}, {9,59}, {4,40}, {24,61}, {16,36}, {1,39}, {6,45}, {17,37}, {10,37}, {25,36}, {2,42}, {22,52}, {9,46}, {10,52}, {15,37}, {7,55}, {22,48}, {4,42}, {27,47}, {21,43}, {23,48}, {15,29}, {20,38}, {14,41}, {4,29}, {24,57}, {26,34}, {1,30}, {1,43}, {1,52}, {13,36}, {26,59}, {3,35}, {4,49}, {4,61}, {5,48}, {26,48}, {25,30}, {14,31}, {7,46}, {6,47}, {19,28}, {5,59}, {11,62}, {22,40}, {24,35}, {13,37}, {24,37}, {5,30}, {24,31}, {12,57}, {19,43}, {23,44}, {10,57}, {3,46}, {24,62}, {16,31}, {22,36}, {12,63}, {22,30}, {26,40}, {27,34}, {11,59}, {6,50}, {1,40}, {19,56}, {23,41}, {9,34}, {3,60}, {11,63}, {16,41}, {13,28}, {17,44}, {3,57}, {17,35}, {15,31}, {24,47}, {9,47}, {17,59}, {6,55}, {27,46}, {19,39}, {12,59}, {15,35}, {5,41}, {13,41}, {26,61}, {15,48}, {8,54}, {19,33}, {3,34}, {18,39}, {2,43}, {25,48}, {4,63}, {23,60}, {9,62}, {19,55}, {3,59}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {22,39}, {1,61}, {2,63}, {4,54}, {5,31}, {4,51}, {10,38}, {18,33}, {21,33}, {17,38}, {1,56}, {23,55}, {21,47}, {24,28}, {7,48}, {5,49}, {11,28}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,63}, {19,42}, {24,29}, {26,62}, {27,58}, {19,50}, {17,34}, {6,62}, {1,62}, {18,46}, {23,51}, {18,56}, {1,45}, {16,56}, {10,30}, {17,58}, {9,61}, {7,32}, {26,36}, {22,54}, {13,57}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {17,52}, {11,46}, {9,56}, {11,54}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {26,38}, {3,56}, {15,49}, {20,63}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {12,60}, {25,50}, {20,59}, {25,54}, {26,30}, {13,30}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {6,61}, {18,45}, {2,46}, {3,39}, {7,56}, {13,58}, {12,34}, {11,55}, {23,35}, {15,41}, {19,45}, {16,44}, {23,31}, {2,50}, {4,48}, {11,30}, {19,61}, {21,52}, {23,59}, {16,58}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {27,37}, {25,57}, {1,33}, {6,33}, {18,63}, {14,55}, {22,34}, {15,52}, {16,50}, {24,38}, {26,56}, {10,40}, {19,62}, {27,49}, {18,47}, {12,40}, {14,63}, {17,40}, {23,61}, {7,45}, {8,46}, {20,41}, {18,57}, {27,39}, {7,58}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {5,44}, {5,35}, {3,45}, {21,48}, {1,51}, {24,45}, {16,32}, {9,32}, {16,53}, {18,62}, {3,58}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {16,45}, {22,58}, {7,50}, {12,43}, {5,39}, {10,45}, {23,37}, {23,42}, {15,53}, {15,61}, {2,54}, {3,40}, {27,63}, {20,46}, {22,42}, {12,36}, {13,49}, {21,39}, {18,61}, {3,33}, {27,35}, {1,57}, {23,47}, {22,63}, {20,55}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {4,53}, {13,60}, {17,30}, {25,55}, {24,41}, {23,63}, {7,33}, {12,31}, {15,47}, {21,60}, {27,29}, {13,45}, {4,37}, {22,57}, {10,62}, {2,35}, {20,53}, {17,62}, {10,32}, {25,53}, {17,47}, {8,50}, {13,63}, {24,60}, {6,59}, {12,55}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB63.139 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3423782572130304 EdgesBipt[63][139]:={ {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {11,42}, {4,46}, {16,28}, {20,33}, {19,41}, {25,42}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {8,28}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {22,49}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {17,54}, {18,51}, {9,58}, {6,48}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {7,53}, {7,28}, {18,38}, {7,62}, {9,63}, {1,32}, {4,28}, {19,51}, {18,49}, {9,49}, {15,62}, {24,52}, {3,63}, {12,52}, {5,43}, {16,57}, {5,61}, {22,51}, {12,32}, {25,63}, {5,56}, {1,41}, {23,50}, {23,54}, {3,54}, {4,30}, {10,55}, {14,54}, {25,58}, {2,38}, {20,42}, {2,52}, {23,45}, {23,53}, {4,52}, {19,60}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {16,33}, {19,38}, {18,28}, {25,49}, {13,51}, {17,63}, {4,34}, {26,46}, {7,60}, {13,29}, {13,62}, {10,63}, {18,37}, {25,29}, {15,45}, {20,29}, {14,40}, {17,45}, {5,62}, {14,33}, {24,36}, {11,35}, {3,32}, {8,59}, {11,37}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {16,61}, {1,53}, {26,57}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {20,28}, {20,57}, {19,54}, {1,55}, {24,48}, {5,53}, {13,53}, {14,61}, {25,56}, {4,59}, {7,59}, {17,51}, {14,43}, {25,45}, {9,53}, {25,61}, {8,40}, {2,41}, {1,31}, {11,48}, {2,59}, {17,32}, {6,35}, {21,30}, {27,62}, {23,33}, {27,57}, {21,42}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {22,45}, {15,43}, {2,36}, {11,44}, {13,33}, {18,35}, {22,62}, {18,31}, {14,51}, {26,32}, {5,46}, {18,42}, {18,55}, {16,42}, {15,34}, {24,30}, {16,30}, {8,58}, {11,38}, {1,50}, {9,31}, {20,39}, {4,39}, {6,57}, {25,60}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {2,45}, {19,35}, {26,60}, {16,34}, {8,49}, {10,48}, {11,56}, {20,43}, {4,44}, {20,60}, {24,54}, {21,36}, {7,31}, {12,33}, {26,43}, {5,38}, {22,60}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {25,38}, {27,51}, {1,29}, {26,37}, {2,34}, {15,55}, {21,63}, {12,41}, {21,59}, {11,32}, {4,56}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {27,60}, {24,58}, {27,36}, {15,57}, {20,49}, {20,52}, {2,56}, {20,40}, {21,51}, {5,28}, {16,55}, {25,33}, {14,32}, {17,53}, {26,52}, {24,49}, {25,47}, {11,41}, {19,44}, {24,55}, {9,52}, {8,34}, {9,29}, {8,61}, {23,46}, {12,50}, {15,40}, {21,34}, {1,44}, {22,38}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {27,33}, {3,43}, {18,48}, {16,48}, {3,36}, {14,36}, {7,42}, {17,46}, {9,54}, {11,50}, {6,43}, {21,56}, {7,29}, {11,53}, {12,49}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {23,32}, {20,61}, {9,39}, {21,61}, {10,46}, {22,33}, {8,33}, {20,31}, {10,28}, {13,50}, {9,44}, {14,59}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {13,32}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {9,35}, {12,45}, {15,36}, {10,36}, {16,29}, {12,61}, {8,41}, {2,62}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {25,52}, {16,46}, {27,48}, {15,30}, {24,34}, {27,54}, {24,61}, {12,54}, {6,45}, {7,40}, {17,37}, {4,62}, {10,37}, {6,44}, {25,36}, {18,60}, {10,52}, {24,51}, {15,37}, {7,55}, {22,48}, {7,35}, {21,43}, {23,48}, {3,53}, {20,38}, {14,41}, {4,29}, {24,57}, {27,40}, {26,63}, {5,34}, {26,34}, {1,43}, {15,46}, {1,52}, {13,36}, {1,59}, {26,59}, {3,35}, {4,61}, {5,48}, {26,48}, {9,40}, {25,30}, {14,31}, {7,46}, {6,47}, {20,37}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {2,61}, {4,47}, {22,40}, {24,37}, {10,53}, {5,30}, {24,31}, {13,59}, {2,49}, {21,54}, {23,44}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {22,36}, {12,63}, {22,30}, {24,42}, {18,30}, {11,59}, {6,50}, {1,40}, {17,31}, {8,29}, {19,56}, {15,44}, {23,41}, {8,51}, {25,40}, {19,36}, {9,34}, {24,63}, {16,41}, {16,52}, {17,44}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {17,59}, {10,59}, {27,46}, {4,32}, {15,58}, {19,39}, {12,59}, {15,35}, {13,41}, {26,61}, {15,48}, {4,55}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {2,43}, {25,48}, {14,34}, {23,60}, {13,44}, {9,62}, {26,41}, {1,47}, {3,59}, {8,42}, {8,32}, {7,38}, {22,39}, {1,61}, {2,63}, {13,31}, {5,31}, {18,33}, {21,33}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {25,39}, {24,28}, {14,52}, {5,49}, {11,28}, {3,52}, {2,53}, {20,51}, {19,63}, {19,42}, {27,58}, {19,50}, {6,62}, {1,62}, {18,46}, {23,51}, {24,46}, {18,56}, {16,56}, {10,30}, {17,58}, {9,61}, {7,32}, {13,38}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {19,59}, {11,46}, {9,56}, {3,41}, {15,39}, {17,49}, {10,39}, {19,47}, {23,57}, {14,56}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {12,60}, {23,62}, {25,54}, {18,40}, {26,30}, {20,48}, {9,45}, {14,42}, {6,61}, {19,53}, {7,56}, {10,41}, {13,58}, {12,34}, {11,55}, {23,35}, {4,50}, {19,45}, {2,50}, {17,41}, {4,48}, {11,30}, {21,52}, {8,43}, {23,59}, {14,60}, {9,38}, {10,44}, {27,37}, {25,57}, {2,32}, {27,30}, {15,52}, {16,50}, {9,36}, {19,48}, {19,62}, {27,49}, {18,47}, {12,40}, {21,41}, {14,63}, {17,40}, {8,46}, {14,38}, {18,57}, {27,39}, {6,30}, {7,58}, {20,56}, {13,56}, {6,38}, {13,42}, {9,57}, {17,60}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {6,63}, {24,45}, {16,32}, {18,62}, {27,28}, {3,58}, {17,55}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {14,58}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {15,61}, {2,54}, {3,40}, {27,63}, {16,59}, {20,46}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {26,51}, {21,39}, {27,35}, {22,63}, {20,55}, {23,36}, {26,28}, {16,38}, {5,57}, {4,53}, {12,37}, {13,60}, {27,42}, {23,63}, {7,33}, {12,31}, {16,47}, {21,60}, {26,55}, {13,45}, {26,45}, {4,37}, {22,57}, {3,61}, {10,62}, {4,35}, {2,35}, {17,33}, {17,62}, {10,32}, {8,50}, {13,63}, {21,38}, {24,60}, {6,59}, {12,55}, {11,60}, {6,41}, {12,46}, {1,58}, {6,29}, {2,31} }; // ETB63.140 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2821109907456 EdgesBipt[63][140]:={ {3,42}, {7,49}, {15,28}, {26,54}, {26,50}, {13,40}, {6,36}, {24,33}, {7,61}, {14,48}, {17,61}, {19,41}, {22,37}, {22,53}, {26,33}, {27,55}, {17,56}, {4,60}, {20,50}, {7,57}, {10,61}, {3,49}, {15,63}, {14,49}, {5,32}, {22,49}, {18,58}, {14,47}, {8,31}, {6,60}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {25,62}, {6,48}, {11,52}, {11,34}, {27,53}, {3,55}, {22,56}, {15,54}, {10,54}, {2,39}, {7,28}, {7,62}, {15,50}, {1,32}, {19,51}, {8,36}, {22,61}, {13,43}, {19,37}, {17,29}, {23,29}, {23,56}, {15,62}, {15,33}, {24,52}, {19,58}, {3,63}, {6,28}, {12,52}, {16,54}, {13,61}, {16,57}, {22,51}, {2,30}, {25,63}, {5,56}, {1,41}, {23,50}, {3,54}, {4,30}, {7,63}, {10,55}, {21,35}, {25,58}, {2,38}, {2,52}, {23,53}, {19,49}, {6,34}, {4,38}, {1,49}, {24,39}, {16,33}, {18,28}, {8,44}, {7,60}, {13,29}, {22,28}, {13,48}, {13,62}, {26,47}, {10,63}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {9,41}, {17,43}, {21,46}, {23,58}, {5,62}, {23,34}, {14,33}, {24,36}, {11,35}, {3,32}, 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{23,39}, {10,43}, {5,29}, {25,46}, {15,57}, {26,49}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,51}, {21,62}, {25,33}, {11,58}, {8,30}, {14,32}, {17,53}, {26,52}, {11,41}, {19,44}, {24,55}, {8,34}, {9,29}, {23,46}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {1,28}, {27,33}, {3,43}, {18,48}, {5,63}, {16,48}, {14,36}, {17,46}, {9,54}, {11,50}, {6,43}, {24,50}, {26,31}, {12,47}, {21,56}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {23,32}, {26,35}, {20,61}, {7,36}, {21,61}, {14,37}, {7,43}, {11,45}, {8,33}, {13,50}, {9,44}, {15,60}, {14,59}, {24,53}, {9,42}, {21,50}, {13,35}, {8,55}, {16,37}, {27,45}, {17,36}, {3,28}, {9,35}, {12,45}, {20,62}, {15,36}, {10,36}, {12,61}, {27,59}, {8,41}, {15,42}, {2,62}, {2,40}, {9,43}, {6,53}, {25,52}, {5,60}, {16,46}, {9,59}, {15,30}, {27,54}, {23,38}, {16,36}, {12,54}, {7,40}, {17,37}, {4,62}, {10,37}, {2,42}, {22,52}, {18,60}, {24,51}, {15,37}, {7,55}, {4,42}, {27,47}, {23,48}, {20,38}, {4,29}, {9,60}, {24,57}, {27,40}, {5,34}, {1,43}, {1,52}, {13,36}, {1,59}, {26,59}, {4,49}, {4,61}, {5,48}, {14,31}, {8,45}, {7,46}, {19,28}, {20,37}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {4,47}, {22,40}, {13,37}, {24,31}, {13,59}, {6,46}, {12,57}, {23,44}, {14,46}, {9,30}, {10,57}, {3,46}, {24,62}, {22,30}, {24,42}, {26,40}, {27,34}, {18,30}, {11,59}, {1,40}, {17,31}, {8,29}, {19,56}, {23,41}, {8,51}, {25,40}, {14,57}, {24,63}, {13,28}, {17,44}, {3,57}, {2,33}, {17,35}, {9,47}, {17,59}, {18,36}, {6,55}, {27,46}, {4,32}, {19,39}, {12,59}, {15,35}, {5,41}, {13,41}, {26,61}, {15,48}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {4,63}, {14,34}, {23,60}, {9,62}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {8,32}, {22,39}, {1,61}, {7,52}, {2,63}, {4,54}, {13,31}, {4,51}, {10,38}, {10,60}, {3,30}, {18,33}, {21,33}, {6,54}, {1,46}, {1,56}, {23,55}, {21,47}, {25,39}, {24,28}, {7,48}, {11,28}, {11,43}, {3,52}, {2,53}, {20,51}, {19,63}, {19,42}, {24,29}, {26,62}, {27,58}, {17,34}, {13,55}, {1,62}, {18,46}, {23,51}, {8,63}, {16,56}, {10,30}, {17,58}, {6,42}, {13,38}, {22,54}, {20,34}, {25,34}, {27,44}, {19,59}, {11,46}, {9,56}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {14,56}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {20,63}, {16,39}, {1,38}, {25,43}, {3,44}, {2,29}, {14,44}, {12,60}, {25,50}, {20,59}, {23,62}, {18,40}, {26,30}, {13,30}, {20,48}, {9,45}, {21,58}, {13,52}, {6,61}, {18,45}, {19,53}, {3,39}, {12,34}, {11,55}, {4,50}, {16,44}, {23,31}, {2,50}, {17,41}, {4,48}, {19,61}, {21,52}, {8,43}, {16,58}, {7,39}, {10,56}, {14,60}, {9,38}, {10,44}, {25,57}, {12,30}, {2,32}, {18,63}, {14,55}, {27,30}, {16,63}, {15,52}, {24,38}, {9,36}, {26,56}, {18,47}, {12,40}, {23,61}, {7,45}, {8,46}, {20,41}, {14,38}, {18,57}, {6,30}, {7,58}, {19,46}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {6,63}, {24,45}, {16,32}, {9,32}, {27,28}, {3,58}, {25,44}, {17,55}, {21,32}, {24,40}, {26,42}, {20,47}, {22,31}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {10,45}, {23,37}, {15,61}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {13,49}, {21,39}, {3,33}, {27,35}, {22,63}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {13,60}, {17,30}, {25,55}, {27,42}, {24,41}, {23,63}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {26,55}, {27,29}, {26,45}, {4,37}, {3,61}, {10,62}, {4,35}, {2,35}, {20,53}, {10,32}, {25,53}, {17,47}, {21,38}, {24,60}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {6,29} }; // ETB63.141 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1019215872 EdgesBipt[63][141]:={ {3,42}, {7,49}, {26,54}, {26,50}, {6,36}, {11,42}, {14,48}, {7,61}, {4,46}, {3,29}, {16,28}, {20,33}, {17,61}, {19,41}, {24,59}, {25,42}, {22,37}, {14,29}, {7,47}, {22,53}, {26,33}, {27,55}, {17,56}, {4,60}, {8,28}, {10,61}, {3,62}, {15,63}, {5,32}, {5,52}, {14,47}, {8,31}, {22,55}, {12,42}, {18,51}, {25,62}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {15,54}, {10,54}, {18,38}, {7,28}, {15,50}, {4,28}, {19,51}, {22,61}, {13,43}, {17,29}, {18,49}, {9,49}, {10,29}, {19,58}, {3,63}, {16,54}, {5,43}, {13,61}, {16,57}, {5,61}, {22,51}, {12,32}, {5,56}, {1,41}, {23,50}, {23,54}, {4,30}, {7,63}, {14,54}, {2,38}, {23,45}, {23,53}, {4,52}, {19,49}, {4,38}, {1,49}, {11,39}, {24,39}, {7,54}, {16,33}, {19,38}, {25,49}, {13,51}, {4,34}, {7,60}, {22,28}, {13,48}, {26,47}, {18,37}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {17,43}, {23,58}, {5,62}, {14,33}, {24,36}, {3,32}, {11,31}, {8,59}, {11,37}, {25,28}, {8,38}, {18,29}, {22,29}, {8,52}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {21,57}, {12,35}, {12,48}, {20,57}, {11,36}, {19,54}, {1,55}, {19,40}, {24,48}, {5,53}, {13,53}, {14,61}, {27,32}, {25,41}, {7,59}, {2,37}, {17,51}, {14,43}, {6,31}, {25,61}, {8,40}, {1,31}, {6,58}, {11,48}, {6,35}, {5,50}, {21,30}, {21,44}, {26,58}, {27,62}, {23,33}, {20,44}, {27,57}, {21,42}, {8,57}, {18,53}, {20,58}, {13,54}, {8,39}, {22,32}, {7,34}, {22,45}, {9,55}, {15,43}, {2,36}, {12,38}, {13,33}, {26,44}, {18,35}, {18,31}, {14,51}, {26,32}, {3,51}, {18,42}, {5,46}, {18,55}, {16,42}, {12,44}, {24,30}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {6,40}, {24,44}, {9,31}, {20,39}, {5,33}, {27,41}, {21,55}, {12,56}, {25,60}, {22,47}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {26,60}, {1,42}, {16,34}, {8,49}, {19,31}, {4,45}, {2,28}, {4,44}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {5,38}, {22,60}, {1,37}, {14,50}, {3,50}, {21,37}, {1,29}, {26,37}, {15,55}, {16,62}, {21,59}, {6,49}, {4,56}, {2,47}, {23,39}, {10,43}, {5,29}, {27,36}, {25,46}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {21,51}, {5,28}, {5,51}, {21,62}, {11,58}, {8,30}, {14,32}, {9,37}, {17,53}, {26,52}, {24,49}, {22,46}, {9,52}, {8,34}, {8,61}, {23,46}, {12,50}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {16,60}, {12,58}, {7,37}, {1,28}, {18,48}, {16,48}, {14,36}, {7,42}, {4,58}, {9,54}, {6,43}, {24,50}, {7,29}, {2,51}, {6,37}, {12,28}, {1,35}, {2,58}, {23,32}, {7,36}, {21,61}, {10,46}, {22,33}, {7,43}, {20,31}, {11,45}, {10,28}, {13,50}, {9,44}, {15,60}, {14,59}, {24,53}, {21,50}, {19,57}, {13,35}, {1,54}, {13,32}, {27,45}, {21,29}, {23,28}, {3,28}, {20,62}, {15,36}, {10,36}, {1,60}, {12,61}, {27,59}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {25,52}, {16,46}, {9,59}, {15,30}, {27,54}, {4,40}, {16,36}, {12,54}, {11,61}, {1,39}, {18,43}, {4,62}, {6,44}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {15,37}, {7,55}, {12,62}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {15,29}, {14,41}, {24,57}, {27,40}, {26,63}, {5,34}, {26,34}, {1,43}, {13,36}, {1,59}, {3,35}, {4,49}, {26,48}, {9,40}, {25,30}, {25,59}, {7,46}, {8,45}, {6,47}, {19,28}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {22,40}, {24,35}, {13,37}, {24,31}, {13,59}, {2,49}, {12,57}, {21,54}, {19,43}, {23,44}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {24,62}, {16,31}, {24,42}, {26,40}, {27,34}, {18,30}, {6,50}, {19,56}, {17,31}, {23,41}, {19,36}, {9,34}, {14,57}, {3,60}, {11,63}, {24,63}, {16,41}, {13,28}, {16,52}, {17,44}, {3,57}, {2,33}, {17,35}, {6,32}, {15,31}, {24,47}, {6,55}, {27,46}, {4,32}, {15,58}, {19,39}, {15,35}, {5,41}, {13,41}, {15,48}, {4,55}, {19,33}, {19,29}, {3,34}, {9,48}, {3,38}, {25,48}, {4,63}, {14,34}, {9,62}, {1,47}, {3,59}, {9,33}, {20,35}, {8,32}, {7,38}, {14,30}, {22,39}, {1,61}, {7,52}, {2,63}, {12,53}, {23,40}, {10,38}, {10,60}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {23,55}, {10,34}, {21,47}, {25,39}, {14,52}, {11,28}, {11,43}, {3,52}, {2,53}, {20,51}, {19,63}, {24,29}, {24,56}, {26,62}, {27,58}, {17,34}, {6,62}, {13,55}, {1,62}, {23,51}, {8,63}, {18,56}, {16,56}, {17,58}, {17,39}, {9,61}, {7,32}, {13,38}, {26,36}, {12,51}, {20,34}, {25,34}, {27,44}, {17,52}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {17,49}, {10,39}, {19,47}, {23,57}, {14,56}, {22,50}, {26,38}, {3,56}, {27,52}, {15,49}, {20,63}, {16,39}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {20,30}, {12,60}, {25,50}, {20,59}, {23,62}, {1,36}, {17,57}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {6,61}, {18,45}, {19,53}, {2,46}, {3,39}, {7,56}, {11,55}, {23,35}, {19,45}, {16,44}, {4,50}, {4,48}, {11,30}, {19,61}, {21,52}, {8,43}, {23,59}, {10,56}, {9,51}, {9,38}, {10,44}, {27,37}, {25,57}, {1,33}, {12,30}, {18,63}, {22,34}, {16,63}, {24,38}, {9,36}, {26,56}, {10,40}, {27,49}, {18,47}, {12,40}, {21,41}, {14,63}, {17,40}, {7,45}, {20,41}, {8,46}, {15,32}, {14,38}, {27,39}, {6,30}, {25,35}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {17,60}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {1,51}, {24,45}, {27,28}, {25,44}, {21,32}, {26,42}, {23,30}, {20,47}, {14,58}, {16,45}, {22,58}, {22,35}, {7,50}, {12,43}, {26,29}, {23,37}, {15,53}, {15,61}, {2,54}, {27,63}, {16,59}, {22,42}, {12,36}, {27,31}, {26,51}, {21,39}, {18,61}, {3,33}, {1,57}, {22,63}, {20,55}, {27,50}, {18,41}, {23,36}, {16,38}, {22,43}, {16,49}, {4,53}, {10,58}, {13,60}, {17,30}, {25,55}, {24,41}, {23,63}, {15,47}, {20,45}, {21,60}, {26,55}, {27,29}, {13,45}, {26,45}, {4,37}, {22,57}, {10,62}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {17,62}, {10,32}, {25,53}, {17,47}, {8,50}, {13,63}, {24,60}, {25,37}, {6,59}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {6,29}, {2,31} }; // ETB63.142 // Bipartite(27,36) Valencies [24,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 339738624 EdgesBipt[63][142]:={ {26,53}, {3,42}, {1,63}, {26,50}, {24,33}, {11,42}, {7,61}, {3,29}, {16,28}, {17,61}, {19,41}, {24,59}, {25,42}, {14,29}, {22,53}, {26,33}, {17,56}, {20,50}, {27,61}, {8,28}, {7,57}, {3,49}, {3,62}, {15,63}, {14,49}, {22,49}, {5,52}, {14,47}, {8,31}, {6,60}, {12,42}, {17,54}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {27,53}, {3,55}, {22,56}, {15,54}, {7,53}, {7,28}, {9,63}, {15,50}, {19,51}, {8,36}, {22,61}, {13,43}, {19,37}, {18,49}, {23,29}, {23,56}, {10,29}, {3,63}, {12,52}, {16,54}, {5,43}, {13,61}, {16,57}, {5,61}, {12,32}, {25,63}, {5,56}, {1,41}, {23,50}, {3,54}, {4,30}, {7,63}, {14,54}, {2,38}, {20,42}, {23,45}, {23,53}, {4,52}, {19,49}, {19,60}, {6,34}, {4,38}, {1,49}, {24,39}, {7,54}, {16,33}, {18,28}, {8,44}, {25,49}, {4,34}, {26,46}, {13,29}, {22,28}, {13,48}, {13,62}, {26,47}, {10,63}, {18,37}, {25,29}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {17,43}, {5,62}, {23,34}, {24,36}, {11,35}, {3,32}, {11,31}, {11,37}, {25,28}, {8,38}, {19,30}, {16,61}, {26,57}, {5,47}, {5,55}, {16,51}, {17,42}, {21,57}, {18,50}, {20,28}, {12,48}, {20,57}, {19,54}, {24,48}, {15,59}, {10,51}, {5,53}, {13,53}, {27,32}, {25,56}, {4,59}, {25,41}, {7,59}, {2,37}, {17,51}, {9,50}, {25,45}, {7,30}, {9,53}, {6,31}, {25,61}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {21,30}, {21,44}, {26,58}, {23,33}, {20,44}, {3,48}, {27,57}, {21,42}, {8,57}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {22,32}, {20,54}, {9,55}, {15,43}, {27,56}, {2,36}, {12,38}, {26,44}, {18,35}, {20,32}, {22,62}, {14,62}, {18,31}, {26,32}, {18,42}, {18,55}, {24,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {6,40}, {24,44}, {20,39}, {5,33}, {6,57}, {21,55}, {12,56}, {25,60}, {16,43}, {8,47}, {6,39}, {24,43}, {2,44}, {17,48}, {23,52}, {8,49}, {10,48}, {19,31}, {22,41}, {4,45}, {11,56}, {2,28}, {20,43}, {4,44}, {20,60}, {12,39}, {24,54}, {21,36}, {12,33}, {26,43}, {5,38}, {14,50}, {8,60}, {6,52}, {3,50}, {21,37}, {25,38}, {27,51}, {26,37}, {15,55}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {5,29}, {27,60}, {25,46}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {21,62}, {11,58}, {14,32}, {9,37}, {27,38}, {26,52}, {25,47}, {22,46}, {24,55}, {23,46}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {22,38}, {11,49}, {8,56}, {19,52}, {1,28}, {27,33}, {18,48}, {3,36}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {24,50}, {12,47}, {11,53}, {2,51}, {6,37}, {3,37}, {17,28}, {23,32}, {26,35}, {20,61}, {7,36}, {21,61}, {14,37}, {7,43}, {11,45}, {8,33}, {20,31}, {8,62}, {13,50}, {9,44}, {14,59}, {24,53}, {22,59}, {9,42}, {21,50}, {19,57}, {13,35}, {16,37}, {1,54}, {13,32}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {9,35}, {14,28}, {12,45}, {20,62}, {15,36}, {16,29}, {12,61}, {2,62}, {6,53}, {25,52}, {16,46}, {15,30}, {4,40}, {24,61}, {23,38}, {16,36}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {17,37}, {4,62}, {25,36}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {22,48}, {7,35}, {27,47}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {9,60}, {24,57}, {27,40}, {5,34}, {26,34}, {1,30}, {1,52}, {13,36}, {1,59}, {26,59}, {3,35}, {5,48}, {9,40}, {25,59}, {14,31}, {8,45}, {7,46}, {6,47}, {19,28}, {5,59}, {5,58}, {1,34}, {2,61}, {4,47}, {22,40}, {24,35}, {24,37}, {10,53}, {5,30}, {13,59}, {2,49}, {12,57}, {21,54}, {19,43}, {23,44}, {14,46}, {9,30}, {10,57}, {5,40}, {24,62}, {16,31}, {12,63}, {22,30}, {24,42}, {26,40}, {27,34}, {18,30}, {1,40}, {17,31}, {8,29}, {1,48}, {23,41}, {8,51}, {19,36}, {14,57}, {3,60}, {11,63}, {16,41}, {17,44}, {3,57}, {2,33}, {15,31}, {10,35}, {10,59}, {6,55}, {27,46}, {4,32}, {15,58}, {19,39}, {12,59}, {15,35}, {5,41}, {13,41}, {26,61}, {15,48}, {4,55}, {8,54}, {19,33}, {18,39}, {9,48}, {2,43}, {4,63}, {14,34}, {23,60}, {13,44}, {9,62}, {19,55}, {16,40}, {26,41}, {6,51}, {9,33}, {8,42}, {15,38}, {7,38}, {22,39}, {4,54}, {13,31}, {5,31}, {4,51}, {10,38}, {10,60}, {3,30}, {21,33}, {17,38}, {1,56}, {1,46}, {23,55}, {10,34}, {21,47}, {24,28}, {7,48}, {14,52}, {5,49}, {11,28}, {13,39}, {11,43}, {2,53}, {19,63}, {19,42}, {26,62}, {27,58}, {17,34}, {1,62}, {18,46}, {23,51}, {24,46}, {8,63}, {1,45}, {10,30}, {17,58}, {6,42}, {7,32}, {13,38}, {13,57}, {12,51}, {20,34}, {25,34}, {17,52}, {19,59}, {11,46}, {9,56}, {10,33}, {17,49}, {10,39}, {22,50}, {27,52}, {15,49}, {16,39}, {1,38}, {5,37}, {25,43}, {7,41}, {3,44}, {2,29}, {14,44}, {12,60}, {25,50}, {23,62}, {25,54}, {1,36}, {13,30}, {24,32}, {14,39}, {9,45}, {21,58}, {6,61}, {18,45}, {2,46}, {3,39}, {10,41}, {7,56}, {12,34}, {11,55}, {23,35}, {15,41}, {19,45}, {4,50}, {4,48}, {11,30}, {19,61}, {21,52}, {23,59}, {16,58}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {18,63}, {14,55}, {22,34}, {16,63}, {19,48}, {9,36}, {14,63}, {17,40}, {7,45}, {8,46}, {15,32}, {18,57}, {27,39}, {6,30}, {7,58}, {20,56}, {13,56}, {19,46}, {11,40}, {13,42}, {17,60}, {25,31}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {1,51}, {6,63}, {9,32}, {16,53}, {18,62}, {27,28}, {3,58}, {18,32}, {17,55}, {21,32}, {20,47}, {22,31}, {14,58}, {16,45}, {22,58}, {22,35}, {7,50}, {12,43}, {26,29}, {19,34}, {13,47}, {10,45}, {23,37}, {23,42}, {15,53}, {15,61}, {2,54}, {3,40}, {27,63}, {16,59}, {20,46}, {27,43}, {12,36}, {22,44}, {13,49}, {26,51}, {21,39}, {15,56}, {27,35}, {1,57}, {23,47}, {27,50}, {18,41}, {26,28}, {22,43}, {16,49}, {13,60}, {17,30}, {25,55}, {27,42}, {24,41}, {23,63}, {7,33}, {16,47}, {20,36}, {15,47}, {21,60}, {26,55}, {27,29}, {4,37}, {22,57}, {12,29}, {10,62}, {10,47}, {2,35}, {17,33}, {17,62}, {24,60}, {25,37}, {11,60}, {8,53}, {10,49}, {4,36}, {1,58}, {6,29}, {2,31} }; // ETB63.143 // Bipartite(24,39) Valencies [26,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 94962856514092151376129968880746496000000000 EdgesBipt[63][143]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {24,33}, {11,42}, {14,48}, {7,61}, {4,46}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {22,37}, {14,29}, {7,47}, {22,53}, {2,26}, {17,56}, {20,50}, {10,61}, {3,49}, {15,63}, {5,32}, {22,49}, {18,58}, {14,47}, {6,60}, {22,55}, {12,42}, {17,54}, {2,57}, {18,51}, {9,58}, {6,48}, {3,55}, {12,25}, {22,56}, {15,54}, {2,39}, {7,28}, {7,53}, {7,62}, {9,63}, {1,32}, {20,27}, {4,28}, {8,36}, {22,61}, {13,43}, {17,29}, {19,37}, {18,49}, {23,29}, {23,56}, {9,49}, {8,26}, {10,29}, {15,33}, {24,52}, {19,58}, {3,63}, {6,28}, {12,52}, {13,61}, {22,25}, {2,30}, {5,56}, {3,25}, {1,41}, {23,50}, {23,54}, {3,54}, {14,54}, {10,55}, {2,38}, {20,42}, {23,45}, {23,53}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {24,39}, {21,31}, {7,26}, {19,38}, {11,27}, {18,28}, {8,44}, {4,34}, {17,63}, {13,29}, {22,28}, {13,62}, {18,37}, {15,45}, {20,29}, {21,46}, {17,45}, {5,62}, {14,33}, {24,36}, {11,35}, {3,27}, {8,59}, {8,38}, {22,29}, {11,29}, {14,27}, {16,61}, {1,53}, {5,47}, {17,42}, {11,47}, {21,57}, {10,25}, {12,48}, {20,57}, {11,36}, {1,55}, {19,40}, {24,48}, {16,26}, {15,51}, {5,53}, {13,53}, {18,54}, {4,59}, {7,59}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {21,30}, {23,33}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {4,41}, {8,39}, {22,32}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {11,44}, {20,32}, {22,62}, {14,62}, {1,26}, {18,31}, {9,27}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {24,30}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {6,57}, {21,55}, {22,47}, {16,43}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {22,41}, {11,56}, {22,26}, {9,25}, {4,44}, {5,36}, {20,60}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {21,37}, {1,29}, {15,55}, {21,63}, {15,27}, {14,35}, {16,62}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {23,39}, {10,43}, {5,29}, {21,25}, {24,58}, {15,57}, {9,28}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {24,49}, {11,41}, {19,44}, {22,46}, {24,55}, {9,52}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {22,38}, {8,56}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {5,63}, {3,36}, {14,36}, {4,58}, {24,25}, {9,54}, {11,50}, {6,43}, {23,26}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {23,32}, {9,39}, {21,61}, {13,26}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {8,62}, {13,50}, {15,60}, {14,59}, {22,59}, {9,42}, {13,35}, {16,37}, {13,32}, {17,36}, {3,28}, {12,45}, {20,62}, {15,36}, {16,29}, {12,61}, {8,41}, {15,42}, {2,62}, {13,46}, {9,43}, {17,50}, {11,51}, {5,60}, {16,46}, {15,30}, {24,34}, {4,40}, {24,61}, {23,38}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {4,62}, {21,27}, {10,37}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {7,35}, {21,43}, {23,48}, {20,38}, {14,41}, {4,29}, {9,60}, {24,57}, {1,43}, {15,46}, {1,52}, {1,59}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {22,40}, {13,37}, {24,37}, {8,27}, {10,53}, {5,30}, {24,31}, {13,59}, {6,46}, {12,57}, {21,54}, {19,43}, {23,44}, {9,30}, {3,46}, {16,31}, {12,63}, {24,42}, {18,30}, {11,59}, {1,40}, {10,26}, {8,29}, {19,56}, {23,41}, {8,51}, {9,34}, {14,57}, {15,25}, {3,60}, {11,63}, {24,63}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {17,59}, {18,36}, {10,59}, {6,55}, {4,32}, {15,58}, {2,27}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {23,60}, {13,44}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {1,61}, {7,52}, {2,63}, {13,31}, {4,25}, {10,38}, {3,30}, {24,27}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {24,28}, {6,25}, {3,52}, {2,53}, {20,51}, {19,50}, {13,55}, {1,62}, {18,46}, {23,51}, {24,46}, {8,63}, {16,56}, {17,39}, {9,61}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {19,59}, {4,31}, {11,54}, {15,39}, {19,47}, {23,57}, {13,34}, {14,56}, {22,50}, {15,49}, {20,63}, {1,38}, {7,41}, {2,29}, {20,30}, {14,44}, {12,60}, {20,59}, {23,62}, {18,40}, {17,57}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {6,61}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {23,35}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {19,61}, {21,52}, {2,48}, {23,59}, {16,58}, {10,56}, {14,60}, {9,51}, {10,44}, {12,30}, {2,32}, {6,33}, {18,63}, {19,26}, {22,34}, {15,52}, {16,50}, {9,36}, {10,40}, {19,62}, {6,27}, {12,40}, {14,63}, {20,41}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {13,56}, {17,27}, {8,48}, {19,46}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {6,63}, {24,45}, {16,32}, {16,53}, {3,58}, {24,40}, {23,30}, {20,47}, {22,31}, {22,58}, {22,35}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {23,42}, {15,61}, {2,54}, {21,49}, {3,40}, {16,59}, {23,27}, {12,36}, {22,44}, {13,49}, {21,39}, {18,61}, {3,33}, {23,47}, {19,25}, {21,28}, {23,36}, {16,38}, {5,57}, {22,43}, {16,49}, {4,53}, {12,37}, {10,58}, {17,30}, {23,63}, {12,31}, {16,47}, {20,36}, {20,45}, {21,60}, {4,37}, {3,61}, {10,62}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {17,62}, {10,32}, {17,47}, {8,50}, {24,60}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB63.144 // Bipartite(14,49) Valencies [28,8] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 56448 EdgesBipt[63][144]:={ {13,21}, {6,52}, {11,40}, {8,57}, {11,49}, {14,36}, {9,32}, {6,25}, {5,22}, {10,18}, {5,56}, {5,59}, {11,59}, {5,45}, {2,60}, {12,63}, {3,26}, {12,22}, {8,63}, {1,40}, {14,38}, {3,61}, {11,43}, {10,62}, {2,35}, {4,31}, {5,57}, {10,33}, {8,21}, {3,19}, {13,63}, {11,57}, {14,31}, {5,15}, {2,49}, {12,16}, {3,21}, {14,45}, {6,48}, {4,51}, {7,30}, {2,61}, {4,37}, {4,40}, {6,56}, {13,27}, {14,29}, {13,40}, {2,33}, {6,32}, {11,35}, {6,29}, {11,27}, {3,18}, {10,47}, {2,34}, {9,18}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {9,33}, {13,59}, {4,16}, {8,46}, {12,20}, {6,60}, {8,52}, {7,41}, {12,38}, {12,26}, {13,30}, {4,58}, {6,49}, {10,26}, {7,33}, {3,52}, {10,20}, {2,48}, {2,15}, {12,23}, {5,37}, {13,20}, {9,35}, {6,18}, {1,29}, {12,37}, {13,51}, {2,56}, {6,46}, {10,35}, {6,44}, {13,58}, {11,18}, {8,38}, {9,47}, {13,16}, {5,34}, {1,38}, {1,26}, {13,19}, {14,32}, {3,17}, {8,49}, {13,41}, {10,51}, {7,15}, {8,22}, {1,61}, {9,36}, {9,29}, {9,39}, {8,42}, {9,20}, {4,62}, {7,54}, {8,19}, {3,38}, {10,59}, {5,27}, {3,43}, {6,17}, {14,46}, {2,39}, {9,59}, {14,35}, {1,42}, {7,32}, {12,24}, {3,31}, {12,27}, {3,51}, {1,39}, {7,37}, {13,49}, {7,53}, {5,53}, {2,30}, {5,35}, {14,34}, {3,63}, {13,61}, {13,17}, {7,19}, {4,32}, {4,60}, {2,44}, {1,30}, {14,28}, {12,47}, {12,56}, {6,36}, {8,17}, {11,36}, {3,55}, {13,48}, {9,51}, {3,16}, {10,57}, {1,47}, {2,24}, {11,23}, {3,24}, {14,15}, {14,33}, {2,51}, {14,23}, {6,16}, {10,58}, {9,55}, {13,25}, {14,39}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,38}, {8,41}, {10,61}, {11,58}, {3,62}, {13,36}, {1,41}, {4,45}, {1,63}, {12,55}, {1,51}, {10,19}, {3,44}, {4,47}, {11,44}, {8,59}, {3,25}, {11,34}, {11,46}, {2,43}, {2,27}, {12,30}, {4,33}, {7,50}, {11,24}, {10,31}, {9,31}, {5,19}, {10,44}, {10,29}, {7,58}, {13,22}, {13,50}, {4,17}, {5,39}, {8,53}, {3,32}, {14,27}, {12,18}, {2,16}, {8,34}, {14,52}, {4,50}, {7,23}, {11,62}, {10,25}, {12,29}, {1,57}, {11,32}, {9,52}, {11,54}, {12,25}, {3,22}, {13,38}, {10,54}, {4,15}, {14,40}, {6,23}, {7,39}, {4,36}, {9,44}, {1,54}, {4,63}, {4,59}, {6,43}, {6,37}, {8,32}, {7,24}, {6,57}, {10,28}, {9,24}, {3,60}, {6,20}, {2,54}, {7,40}, {12,50}, {12,43}, {5,20}, {10,40}, {1,60}, {10,21}, {7,29}, {1,62}, {11,56}, {7,21}, {8,36}, {8,27}, {2,45}, {5,46}, {4,55}, {14,26}, {1,45}, {9,61}, {14,51}, {10,15}, {11,30}, {9,28}, {3,34}, {2,21}, {7,55}, {2,22}, {4,46}, {3,56}, {2,31}, {12,62}, {11,45}, {1,33}, {8,58}, {3,45}, {2,53}, {5,26}, {7,47}, {2,37}, {4,42}, {5,29}, {3,28}, {14,30}, {7,31}, {5,47}, {12,39}, {12,58}, {2,57}, {3,57}, {10,63}, {6,54}, {11,31}, {1,53}, {12,60}, {14,24}, {3,15}, {11,41}, {7,25}, {7,22}, {6,26}, {1,34}, {13,35}, {14,18}, {5,21}, {2,50}, {7,42}, {6,41}, {10,53}, {12,34}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {13,15}, {14,20}, {14,25}, {5,49}, {1,56}, {13,54}, {1,50}, {7,18}, {7,16}, {5,16}, {1,23}, {8,55}, {11,20}, {14,42}, {5,17}, {13,60}, {8,61}, {7,17}, {10,45}, {13,23}, {2,40}, {8,54}, {6,21}, {12,59}, {14,41}, {9,63}, {1,28}, {13,28}, {9,27}, {5,42}, {2,38}, {8,62}, {6,53}, {5,62}, {7,44}, {9,49}, {7,43}, {11,55}, {5,25}, {10,23}, {9,53}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {14,22}, {9,42}, {14,17}, {5,36}, {11,50}, {12,19}, {13,52}, {6,50}, {1,37}, {1,58}, {6,61}, {4,48}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {10,49}, {9,37} }; // ETB63.145 // Bipartite(14,49) Valencies [28,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1776368267603941376655360000000 EdgesBipt[63][145]:={ {13,21}, {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {11,49}, {14,36}, {9,32}, {6,25}, {5,22}, {5,56}, {4,28}, {11,25}, {5,43}, {2,55}, {2,62}, {2,60}, {12,63}, {3,26}, {12,22}, {8,26}, {13,37}, {1,40}, {14,38}, {13,39}, {3,61}, {11,43}, {10,62}, {14,50}, {8,40}, {5,57}, {3,35}, {11,15}, {10,33}, {3,19}, {13,63}, {11,57}, {14,31}, {5,15}, {1,19}, {11,53}, {12,16}, {3,20}, {2,18}, {3,21}, {14,45}, {7,30}, {2,61}, {8,31}, {2,46}, {6,56}, {6,58}, {14,57}, {14,29}, {10,48}, {14,44}, {2,33}, {6,32}, {3,49}, {11,29}, {11,35}, {10,56}, {10,42}, {11,27}, {10,47}, {2,34}, {10,17}, {9,18}, {12,28}, {2,25}, {4,43}, {1,52}, {7,59}, {9,33}, {1,17}, {13,59}, {7,45}, {8,46}, {6,60}, {8,52}, {7,41}, {12,26}, {13,30}, {7,27}, {12,42}, {6,39}, {14,62}, {11,39}, {6,49}, {10,26}, {3,52}, {12,40}, {10,20}, {1,24}, {13,24}, {2,48}, {12,23}, {5,37}, {13,42}, {1,36}, {6,18}, {1,29}, {12,37}, {13,51}, {6,46}, {10,35}, {6,44}, {13,58}, {11,18}, {8,38}, {9,62}, {9,47}, {4,49}, {5,50}, {6,24}, {13,16}, {1,38}, {1,26}, {3,17}, {7,15}, {8,22}, {1,61}, {1,43}, {9,39}, {12,49}, {4,62}, {9,20}, {4,22}, {5,54}, {6,51}, {8,19}, {3,38}, {1,18}, {11,63}, {10,59}, {6,17}, {5,28}, {2,39}, {9,46}, {4,18}, {8,18}, {3,47}, {1,31}, {3,31}, {11,22}, {1,39}, {7,37}, {13,49}, {2,30}, {11,42}, {9,58}, {5,35}, {14,34}, {3,63}, {4,21}, {11,60}, {13,17}, {4,32}, {4,60}, {2,44}, {13,18}, {8,50}, {12,15}, {8,15}, {11,21}, {12,47}, {12,56}, {8,17}, {4,53}, {11,36}, {3,55}, {9,51}, {1,47}, {3,24}, {14,15}, {2,51}, {10,38}, {14,23}, {6,16}, {8,60}, {9,55}, {13,25}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {9,26}, {8,45}, {3,59}, {10,61}, {3,62}, {2,23}, {1,59}, {13,53}, {9,54}, {10,19}, {9,19}, {13,45}, {5,61}, {8,59}, {11,34}, {11,46}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {10,31}, {5,19}, {4,57}, {7,58}, {13,56}, {1,25}, {2,20}, {9,16}, {13,31}, {9,30}, {8,53}, {14,27}, {6,45}, {2,16}, {14,52}, {9,25}, {5,40}, {4,50}, {7,23}, {11,62}, {4,34}, {12,29}, {1,57}, {6,31}, {11,32}, {3,42}, {10,52}, {14,43}, {14,37}, {13,38}, {10,54}, {4,15}, {9,41}, {6,23}, {3,41}, {4,36}, {4,29}, {9,44}, {1,32}, {1,54}, {4,63}, {7,52}, {6,37}, {8,32}, {7,24}, {10,28}, {2,19}, {2,54}, {2,41}, {12,50}, {5,23}, {12,43}, {2,26}, {10,40}, {5,63}, {1,60}, {14,55}, {10,21}, {7,29}, {11,56}, {8,29}, {9,23}, {14,16}, {8,36}, {13,44}, {14,58}, {4,55}, {3,48}, {3,33}, {13,32}, {1,45}, {9,61}, {14,51}, {3,34}, {4,27}, {7,55}, {14,59}, {4,46}, {8,43}, {3,56}, {12,61}, {1,33}, {5,58}, {3,54}, {6,63}, {12,36}, {3,45}, {2,53}, {5,26}, {12,44}, {2,37}, {4,42}, {5,29}, {4,25}, {10,41}, {3,28}, {14,30}, {7,31}, {12,33}, {8,33}, {5,47}, {12,58}, {10,63}, {7,51}, {1,53}, {14,24}, {5,51}, {11,41}, {7,22}, {13,35}, {5,21}, {9,60}, {6,28}, {6,42}, {4,35}, {1,15}, {14,20}, {5,49}, {1,50}, {2,47}, {11,28}, {7,16}, {5,16}, {10,24}, {11,20}, {10,27}, {10,34}, {3,40}, {13,60}, {8,61}, {7,17}, {10,45}, {13,23}, {2,40}, {8,54}, {6,21}, {14,41}, {12,57}, {13,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {6,53}, {7,44}, {7,43}, {9,40}, {11,55}, {4,20}, {5,44}, {12,54}, {9,53}, {1,46}, {8,39}, {14,22}, {14,17}, {5,36}, {9,34}, {13,46}, {4,39}, {7,36}, {12,35}, {6,35}, {11,50}, {12,19}, {13,52}, {14,48}, {8,25}, {4,48}, {7,57}, {2,32}, {12,21}, {7,62}, {12,51}, {9,48}, {5,33}, {2,58}, {4,56}, {5,30}, {10,49}, {9,37} }; // ETB63.146 // Bipartite(21,42) Valencies [28,14] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 508941559130212623781446551970250752000000000 EdgesBipt[63][146]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {7,61}, {4,46}, {20,26}, {16,28}, {4,26}, {20,33}, {19,41}, {14,29}, {7,47}, {2,26}, {17,56}, {19,22}, {20,50}, {10,61}, {3,49}, {15,63}, {5,32}, {18,58}, {14,47}, {6,60}, {12,42}, {2,57}, {17,54}, {18,51}, {9,58}, {6,48}, {3,55}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {20,27}, {4,28}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {19,58}, {3,63}, {13,22}, {6,28}, {12,52}, {13,61}, {2,30}, {5,56}, {3,25}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {20,42}, {4,52}, {19,49}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {21,31}, {7,26}, {19,38}, {11,27}, {8,44}, {18,28}, {4,34}, {17,63}, {13,29}, {13,62}, {10,22}, {18,37}, {15,45}, {20,29}, {12,22}, {21,46}, {5,62}, {17,45}, {14,33}, {11,35}, {3,27}, {8,59}, {8,38}, {11,29}, {14,27}, {16,61}, {1,53}, {5,47}, {17,42}, {11,47}, {21,57}, {10,25}, {12,48}, {20,57}, {11,36}, {1,55}, {19,40}, {16,26}, {3,22}, {15,51}, {5,53}, {13,53}, {5,23}, {18,54}, {4,59}, {7,59}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {16,23}, {21,30}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {9,22}, {4,41}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {2,36}, {11,44}, {15,24}, {10,23}, {20,32}, {14,62}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {20,39}, {5,33}, {1,22}, {6,57}, {21,55}, {6,24}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {19,31}, {14,23}, {11,56}, {9,25}, {4,44}, {5,36}, {20,60}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {21,37}, {1,29}, {15,55}, {21,22}, {21,63}, {15,27}, {14,35}, {16,62}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {2,56}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {18,52}, {15,40}, {18,34}, {21,34}, {1,44}, {10,31}, {8,56}, {13,23}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {5,63}, {18,48}, {3,36}, {20,23}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {9,39}, {21,61}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {8,62}, {13,50}, {15,60}, {14,59}, {9,42}, {13,35}, {16,37}, {13,32}, {17,36}, {17,23}, {3,28}, {12,24}, {12,45}, {20,62}, {15,36}, {16,29}, {12,61}, {8,41}, {15,42}, {2,62}, {13,46}, {9,43}, {17,50}, {11,51}, {5,60}, {16,46}, {15,30}, {4,40}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {4,62}, {21,27}, {10,37}, {2,42}, {18,60}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {21,43}, {20,38}, {14,41}, {4,29}, {9,60}, {1,43}, {15,46}, {1,52}, {1,59}, {16,22}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {7,46}, {8,45}, {19,28}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {13,59}, {6,46}, {15,22}, {12,57}, {21,54}, {19,43}, {9,30}, {3,46}, {16,31}, {12,63}, {18,30}, {11,59}, {4,22}, {1,40}, {10,26}, {1,23}, {8,29}, {19,56}, {7,22}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {4,32}, {15,58}, {2,27}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {13,44}, {11,23}, {19,55}, {16,40}, {1,47}, {6,51}, {9,33}, {8,42}, {20,35}, {8,32}, {7,38}, {14,30}, {17,24}, {1,61}, {7,52}, {2,63}, {13,31}, {4,25}, {10,38}, {3,30}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {6,25}, {3,52}, {2,53}, {20,51}, {19,50}, {13,55}, {1,62}, {18,46}, {8,63}, {16,56}, {17,39}, {9,61}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {19,59}, {4,31}, {11,54}, {15,39}, {19,47}, {13,34}, {14,56}, {20,24}, {18,24}, {21,24}, {15,49}, {20,63}, {1,38}, {7,41}, {8,23}, {2,29}, {20,30}, {14,44}, {12,60}, {20,59}, {18,40}, {17,57}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {6,61}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {19,61}, {21,52}, {2,48}, {16,58}, {2,23}, {10,56}, {14,60}, {9,51}, {10,44}, {12,30}, {2,32}, {6,33}, {18,63}, {19,26}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {19,62}, {6,27}, {12,40}, {14,63}, {20,41}, {14,38}, {18,57}, {6,30}, {7,58}, {20,56}, {13,56}, {17,27}, {8,48}, {19,46}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {6,63}, {16,32}, {16,53}, {3,58}, {20,47}, {7,50}, {12,43}, {5,39}, {19,34}, {13,47}, {15,61}, {2,54}, {21,49}, {3,40}, {16,59}, {12,36}, {13,49}, {21,39}, {18,61}, {3,33}, {19,25}, {21,28}, {16,38}, {5,57}, {16,49}, {4,53}, {12,37}, {10,58}, {17,30}, {5,24}, {12,31}, {16,47}, {20,36}, {20,45}, {21,60}, {4,37}, {3,61}, {10,62}, {4,35}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,62}, {8,50}, {17,47}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB63.147 // Bipartite(27,36) Valencies [28,21] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3656994324480 EdgesBipt[63][147]:={ {26,53}, {7,49}, {1,63}, {26,54}, {13,40}, {6,36}, {11,42}, {14,48}, {7,61}, {4,46}, {3,29}, {16,28}, {19,41}, {24,59}, {25,42}, {22,37}, {22,53}, {26,33}, {27,55}, {17,56}, {20,50}, {27,61}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {15,63}, {14,49}, {5,32}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {22,55}, {2,57}, {17,54}, {18,51}, {25,62}, {3,47}, {9,58}, {11,52}, {11,34}, {27,53}, {22,56}, {15,54}, {2,39}, {7,28}, {18,38}, {7,62}, {1,32}, {19,51}, {8,36}, {22,61}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {15,62}, {10,29}, {24,52}, {3,63}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {22,51}, {12,32}, {2,30}, {25,63}, {1,41}, {23,50}, {23,54}, {4,30}, {7,63}, {10,55}, {14,54}, {21,35}, {25,58}, {2,38}, {20,42}, {2,52}, {23,53}, {4,52}, {19,60}, {11,39}, {24,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {18,28}, {25,49}, {13,51}, {4,34}, {26,46}, {7,60}, {13,29}, {13,48}, {13,62}, {26,47}, {10,63}, {18,37}, {15,45}, {25,32}, {20,29}, {10,42}, {14,40}, {9,41}, {23,58}, {5,62}, {17,45}, {14,33}, {24,36}, {11,35}, {3,32}, {11,31}, {8,59}, {11,37}, {25,28}, {8,38}, {18,29}, {25,51}, {19,30}, {22,29}, {8,52}, {11,29}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {23,49}, {18,50}, {20,28}, {12,35}, {12,48}, {20,57}, {1,55}, {15,59}, {10,51}, {15,51}, {5,53}, {13,53}, {14,61}, {27,32}, {18,54}, {25,56}, {4,59}, {25,41}, {7,59}, {2,37}, {9,50}, {14,43}, {25,45}, {9,53}, {6,31}, {25,61}, {8,40}, {6,58}, {11,48}, {6,35}, {17,32}, {5,50}, {21,44}, {23,33}, {20,44}, {3,48}, {27,57}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {22,45}, {9,55}, {15,43}, {11,44}, {13,33}, {26,44}, {22,62}, {14,62}, {18,31}, {26,32}, {3,51}, {5,46}, {18,55}, {16,42}, {12,44}, {24,30}, {8,35}, {2,60}, {11,38}, {6,40}, {1,50}, {9,31}, {20,39}, {5,33}, {27,41}, {6,57}, {12,56}, {25,60}, {22,47}, {8,47}, {6,39}, {10,50}, {24,43}, {2,44}, {17,48}, {19,35}, {23,52}, {26,60}, {1,42}, {16,34}, {8,49}, {10,48}, {22,41}, {4,45}, {11,56}, {2,28}, {20,43}, {4,44}, {5,36}, {20,60}, {12,39}, {24,54}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {25,38}, {27,51}, {1,29}, {26,37}, {2,34}, {15,55}, {21,63}, {14,35}, {5,42}, {16,62}, {21,59}, {6,49}, {4,56}, {3,31}, {2,47}, {23,39}, {10,43}, {27,60}, {24,58}, {27,36}, {25,46}, {15,57}, {9,28}, {26,49}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {21,51}, {21,40}, {5,28}, {16,55}, {21,62}, {25,33}, {11,58}, {8,30}, {14,32}, {9,37}, {27,38}, {17,53}, {26,52}, {24,49}, {22,46}, {24,55}, {8,34}, {9,29}, {23,46}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {2,55}, {11,49}, {8,56}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {27,33}, {3,43}, {5,63}, {3,36}, {16,48}, {14,36}, {7,42}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {26,31}, {12,47}, {21,56}, {12,49}, {2,51}, {6,37}, {12,28}, {1,35}, {17,28}, {2,58}, {23,32}, {26,35}, {7,36}, {9,39}, {21,61}, {10,46}, {22,33}, {8,33}, {20,31}, {10,28}, {8,62}, {13,50}, {9,44}, {15,60}, {14,59}, {24,53}, {22,59}, {21,50}, {19,57}, {16,37}, {27,45}, {17,36}, {26,39}, {18,44}, {21,29}, {23,28}, {3,28}, {14,28}, {12,45}, {20,62}, {15,36}, {1,60}, {12,61}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {11,51}, {6,53}, {16,46}, {15,30}, {27,54}, {4,40}, {24,61}, {23,38}, {16,36}, {1,39}, {6,45}, {18,43}, {17,37}, {4,62}, {10,37}, {25,36}, {2,42}, {22,52}, {18,60}, {9,46}, {10,52}, {24,51}, {15,37}, {7,55}, {12,62}, {22,48}, {7,35}, {4,42}, {27,47}, {21,43}, {23,48}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {9,60}, {24,57}, {27,40}, {26,34}, {1,30}, {1,43}, {1,52}, {13,36}, {1,59}, {26,59}, {3,35}, {4,61}, {5,48}, {26,48}, {9,40}, {25,59}, {7,46}, {8,45}, {19,28}, {20,37}, {5,59}, {11,62}, {11,57}, {5,58}, {1,34}, {4,47}, {22,40}, {24,35}, {13,37}, {24,37}, {10,53}, {5,30}, {24,31}, {13,59}, {2,49}, {12,57}, {19,43}, {23,44}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {24,62}, {16,31}, {22,36}, {12,63}, {22,30}, {24,42}, {26,40}, {27,34}, {18,30}, {8,29}, {17,31}, {19,56}, {1,48}, {23,41}, {9,34}, {14,57}, {3,60}, {11,63}, {24,63}, {16,41}, {3,57}, {17,44}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {17,59}, {18,36}, {10,59}, {6,55}, {27,46}, {15,58}, {12,59}, {19,39}, {15,35}, {21,53}, {5,41}, {13,41}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {2,43}, {25,48}, {4,63}, {13,44}, {19,55}, {26,41}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {8,32}, {1,61}, {2,63}, {4,54}, {13,31}, {12,53}, {23,40}, {4,51}, {10,38}, {10,60}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {23,55}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {11,43}, {3,52}, {20,51}, {19,63}, {19,42}, {24,29}, {24,56}, {26,62}, {27,58}, {19,50}, {17,34}, {6,62}, {13,55}, {18,46}, {1,45}, {10,30}, {16,56}, {17,39}, {9,61}, {6,42}, {7,32}, {26,36}, {22,54}, {12,51}, {7,44}, {20,34}, {25,34}, {27,44}, {17,52}, {19,59}, {11,46}, {4,31}, {11,54}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {23,57}, {13,34}, {22,50}, {26,38}, {3,56}, {15,49}, {20,63}, {1,38}, {7,41}, {3,44}, {2,29}, {20,30}, {14,44}, {12,60}, {25,50}, {23,62}, {25,54}, {18,40}, {26,30}, {13,30}, {20,48}, {24,32}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {6,61}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {11,55}, {23,35}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {17,41}, {11,30}, {19,61}, {21,52}, {2,48}, {23,59}, {16,58}, {10,56}, {9,51}, {9,38}, {27,37}, {25,57}, {1,33}, {14,55}, {22,34}, {27,30}, {16,63}, {15,52}, {16,50}, {24,38}, {9,36}, {19,48}, {26,56}, {27,49}, {18,47}, {12,40}, {14,63}, {17,40}, {23,61}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {27,39}, {6,30}, {7,58}, {20,56}, {25,35}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {9,57}, {17,60}, {25,31}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {1,51}, {6,63}, {24,45}, {16,32}, {9,32}, {27,28}, {3,58}, {25,44}, {18,32}, {21,32}, {24,40}, {26,42}, {23,30}, {20,47}, {22,31}, {14,58}, {16,45}, {22,58}, {7,50}, {12,43}, {5,39}, {26,29}, {19,34}, {13,47}, {10,45}, {23,42}, {15,53}, {15,61}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {27,43}, {22,42}, {12,36}, {27,31}, {22,44}, {21,39}, {15,56}, {18,61}, {3,33}, {1,57}, {23,47}, {22,63}, {20,55}, {27,50}, {18,41}, {23,43}, {21,28}, {23,36}, {26,28}, {16,38}, {5,57}, {22,43}, {4,53}, {16,49}, {17,30}, {25,55}, {24,41}, {23,63}, {7,33}, {12,31}, {21,60}, {27,29}, {13,45}, {26,45}, {4,37}, {3,61}, {12,29}, {10,47}, {2,35}, {17,33}, {10,32}, {17,62}, {17,47}, {13,63}, {24,60}, {25,37}, {6,59}, {11,60}, {8,53}, {6,41}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB63.148 // Bipartite(18,45) Valencies [30,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 2160 EdgesBipt[63][148]:={ {3,42}, {1,63}, {15,28}, {13,40}, {6,36}, {11,42}, {7,61}, {4,46}, {16,28}, {7,47}, {2,20}, {17,56}, {4,60}, {8,28}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {18,58}, {5,52}, {6,60}, {2,57}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,62}, {9,63}, {1,32}, {4,28}, {8,20}, {9,49}, {3,63}, {6,28}, {16,54}, {13,61}, {12,32}, {14,25}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {8,24}, {2,38}, {4,52}, {12,27}, {17,22}, {4,38}, {11,39}, {2,21}, {16,33}, {7,26}, {8,44}, {13,51}, {4,34}, {17,63}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {18,37}, {15,45}, {10,42}, {15,20}, {17,45}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {16,51}, {17,42}, {18,50}, {10,25}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {10,51}, {5,53}, {13,53}, {6,19}, {5,23}, {18,54}, {7,59}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,26}, {6,31}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {7,51}, {8,39}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {15,24}, {18,35}, {14,62}, {1,26}, {9,27}, {14,51}, {3,51}, {5,46}, {15,34}, {12,44}, {16,42}, {16,30}, {8,58}, {8,35}, {6,40}, {1,50}, {9,31}, {5,33}, {1,22}, {6,57}, {6,24}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {1,27}, {5,22}, {9,25}, {4,44}, {5,36}, {9,26}, {18,20}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {8,60}, {1,29}, {2,34}, {15,55}, {10,19}, {15,27}, {5,42}, {16,62}, {11,32}, {4,56}, {2,47}, {10,43}, {5,29}, {15,57}, {11,19}, {2,56}, {16,35}, {5,51}, {16,55}, {11,58}, {14,32}, {4,21}, {9,37}, {12,21}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {5,63}, {3,36}, {16,48}, {14,36}, {7,42}, {9,54}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {17,28}, {2,58}, {5,21}, {7,36}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {13,50}, {15,60}, {14,59}, {13,35}, {8,55}, {1,54}, {13,32}, {2,25}, {17,23}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {15,36}, {10,36}, {12,20}, {16,29}, {12,61}, {1,60}, {8,41}, {15,42}, {2,62}, {2,40}, {17,50}, {6,53}, {16,46}, {4,40}, {12,54}, {16,36}, {11,61}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {4,62}, {10,37}, {6,44}, {18,60}, {9,46}, {10,52}, {15,37}, {12,62}, {4,42}, {15,29}, {14,41}, {4,29}, {9,60}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {4,61}, {5,48}, {9,40}, {14,31}, {7,46}, {14,20}, {5,59}, {11,57}, {5,58}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {2,49}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {3,46}, {16,31}, {6,23}, {17,20}, {1,23}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {3,60}, {11,63}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {6,55}, {4,32}, {12,59}, {15,35}, {1,19}, {5,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {3,38}, {2,43}, {13,44}, {9,62}, {11,23}, {1,47}, {6,51}, {9,33}, {8,42}, {14,30}, {17,24}, {1,61}, {7,52}, {12,23}, {12,53}, {13,31}, {4,25}, {10,38}, {10,60}, {3,30}, {18,33}, {17,38}, {6,54}, {1,56}, {10,34}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {3,52}, {2,53}, {17,34}, {6,62}, {12,26}, {18,46}, {18,56}, {1,45}, {17,58}, {7,32}, {13,38}, {11,26}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {15,49}, {16,39}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {3,21}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {13,52}, {6,61}, {2,46}, {3,39}, {10,41}, {13,58}, {6,26}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {17,41}, {11,30}, {8,43}, {2,23}, {7,39}, {15,21}, {10,56}, {14,60}, {9,38}, {1,33}, {12,30}, {18,63}, {14,55}, {9,36}, {10,40}, {18,47}, {6,27}, {12,40}, {14,63}, {17,40}, {7,45}, {14,38}, {18,57}, {6,30}, {7,58}, {13,56}, {8,48}, {13,42}, {9,57}, {17,60}, {5,35}, {4,43}, {11,22}, {6,63}, {16,32}, {9,32}, {16,53}, {3,58}, {18,32}, {17,55}, {14,58}, {16,45}, {5,39}, {12,43}, {13,47}, {10,45}, {15,53}, {7,20}, {15,61}, {3,40}, {16,19}, {16,59}, {18,61}, {3,33}, {1,24}, {17,21}, {18,41}, {16,38}, {16,49}, {12,37}, {2,19}, {17,30}, {5,24}, {15,47}, {13,45}, {12,29}, {10,62}, {10,47}, {7,19}, {2,35}, {17,62}, {16,24}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {11,60}, {8,53}, {12,46}, {5,54}, {2,31} }; // ETB63.149 // Bipartite(18,45) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5007806886485328295225603827695616000000000000 EdgesBipt[63][149]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {7,61}, {4,46}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {10,61}, {3,49}, {15,63}, {5,32}, {18,58}, {14,47}, {6,60}, {12,42}, {2,57}, {17,54}, {18,51}, {9,58}, {6,48}, {3,55}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {3,63}, {13,22}, {6,28}, {12,52}, {13,61}, {2,30}, {5,56}, {3,25}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,63}, {13,29}, {13,62}, {10,22}, {18,37}, {15,45}, {12,22}, {5,62}, {17,45}, {14,33}, {11,35}, {3,27}, {8,59}, {8,38}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {17,42}, {11,47}, {10,25}, {12,48}, {11,36}, {11,21}, {1,55}, {16,26}, {3,22}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {17,51}, {5,26}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {11,44}, {15,24}, {10,23}, {14,62}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {1,22}, {6,57}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {16,34}, {8,21}, {14,23}, {11,56}, {18,21}, {9,25}, {4,44}, {5,36}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {1,29}, {15,55}, {10,19}, {12,19}, {15,27}, {14,35}, {5,42}, {16,62}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {15,57}, {9,28}, {2,56}, {16,35}, {5,51}, {16,55}, {8,30}, {14,32}, {9,37}, {12,21}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {13,19}, {18,52}, {15,40}, {18,34}, {1,44}, {10,31}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {3,43}, {5,63}, {18,48}, {3,36}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {8,62}, {13,50}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {16,37}, {13,32}, {17,36}, {17,23}, {3,28}, {12,24}, {18,19}, {12,45}, {15,36}, {12,61}, {16,29}, {8,41}, {15,42}, {2,62}, {13,46}, {9,43}, {17,50}, {11,51}, {5,60}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {6,45}, {18,43}, {7,40}, {18,25}, {4,62}, {10,37}, {2,42}, {18,60}, {9,46}, {10,52}, {15,37}, {7,55}, {7,35}, {14,41}, {4,29}, {9,60}, {1,43}, {15,46}, {1,52}, {1,59}, {16,22}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {7,46}, {8,45}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {13,59}, {6,46}, {15,22}, {12,57}, {9,30}, {3,46}, {16,31}, {12,63}, {18,30}, {11,59}, {4,22}, {1,40}, {10,26}, {17,20}, {1,23}, {8,29}, {7,22}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {16,41}, {13,28}, {16,52}, {16,25}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {4,32}, {15,58}, {2,27}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {13,20}, {9,48}, {13,44}, {11,23}, {16,40}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {17,24}, {1,61}, {7,52}, {2,63}, {13,31}, {4,25}, {10,38}, {3,30}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {6,25}, {3,52}, {2,53}, {13,55}, {1,62}, {18,46}, {8,63}, {16,56}, {17,39}, {9,61}, {11,20}, {6,42}, {7,32}, {13,38}, {11,26}, {12,51}, {7,44}, {4,31}, {11,54}, {15,39}, {13,34}, {14,56}, {18,24}, {15,49}, {1,38}, {7,41}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {18,40}, {17,57}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,61}, {18,45}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {4,20}, {4,50}, {16,44}, {2,50}, {17,41}, {11,30}, {2,48}, {2,23}, {16,58}, {15,21}, {10,56}, {14,60}, {9,51}, {10,44}, {12,30}, {2,32}, {6,33}, {18,63}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {6,27}, {12,40}, {14,63}, {14,38}, {18,57}, {6,30}, {7,58}, {13,56}, {17,27}, {8,48}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {6,63}, {16,32}, {16,53}, {3,58}, {7,50}, {12,43}, {5,39}, {6,21}, {13,47}, {7,20}, {15,61}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {18,61}, {3,33}, {17,21}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {17,30}, {5,24}, {12,31}, {16,47}, {4,37}, {3,61}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,62}, {8,50}, {17,47}, {4,19}, {12,55}, {11,60}, {8,53}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB63.150 // Bipartite(18,45) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 17332899271409664000000000 EdgesBipt[63][150]:={ {3,42}, {7,49}, {13,40}, {6,36}, {14,48}, {4,46}, {16,28}, {17,61}, {7,47}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {15,63}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {9,58}, {6,48}, {11,52}, {11,34}, {12,25}, {15,54}, {2,39}, {7,28}, {7,53}, {18,38}, {7,62}, {9,63}, {15,50}, {4,28}, {8,36}, {17,29}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {3,63}, {13,22}, {12,52}, {5,43}, {5,61}, {2,30}, {5,56}, {3,25}, {3,54}, {14,54}, {10,55}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {13,51}, {4,34}, {17,63}, {17,19}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {15,45}, {10,42}, {14,40}, {9,41}, {17,43}, {17,45}, {17,25}, {3,32}, {3,27}, {8,59}, {11,37}, {18,29}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {10,51}, {3,22}, {15,51}, {13,53}, {5,23}, {16,20}, {18,54}, {4,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {8,40}, {2,41}, {1,31}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {8,57}, {9,22}, {4,41}, {18,53}, {5,20}, {7,51}, {8,39}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {13,33}, {15,24}, {10,23}, {18,35}, {14,62}, {1,26}, {9,27}, {3,51}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {8,58}, {8,35}, {11,38}, {5,27}, {9,31}, {1,22}, {6,57}, {12,56}, {6,24}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {8,21}, {14,23}, {18,26}, {11,56}, {18,21}, {2,28}, {9,25}, {3,23}, {5,36}, {9,26}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {1,29}, {10,19}, {15,27}, {14,35}, {11,32}, {4,56}, {3,31}, {10,43}, {5,29}, {11,19}, {5,28}, {16,55}, {8,30}, {14,32}, {12,21}, {10,20}, {11,41}, {9,52}, {13,19}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {16,60}, {7,37}, {1,28}, {3,43}, {5,63}, {18,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {1,35}, {17,28}, {2,58}, {5,21}, {13,26}, {14,37}, {10,46}, {11,45}, {10,28}, {8,62}, {9,44}, {15,23}, {15,60}, {14,59}, {9,42}, {13,35}, {8,55}, {16,37}, {10,24}, {17,36}, {17,23}, {18,44}, {9,35}, {12,24}, {14,28}, {12,45}, {15,36}, {12,20}, {16,29}, {12,61}, {1,60}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {17,50}, {6,53}, {16,46}, {9,59}, {4,40}, {12,54}, {11,61}, {1,39}, {6,45}, {18,43}, {7,40}, {17,37}, {14,19}, {18,25}, {10,37}, {6,44}, {18,60}, {10,52}, {7,55}, {12,62}, {7,35}, {4,42}, {3,53}, {14,41}, {4,29}, {9,60}, {5,34}, {1,30}, {3,26}, {9,23}, {16,22}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {5,59}, {11,57}, {4,47}, {13,37}, {8,27}, {5,30}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {16,31}, {12,63}, {18,30}, {11,59}, {4,22}, {1,40}, {17,20}, {1,48}, {7,22}, {15,44}, {9,34}, {14,57}, {15,25}, {3,60}, {11,63}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {15,31}, {17,59}, {18,36}, {10,59}, {3,24}, {4,32}, {15,58}, {2,27}, {15,35}, {1,19}, {5,41}, {4,55}, {8,54}, {3,34}, {18,39}, {13,20}, {13,21}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,32}, {7,38}, {14,30}, {2,63}, {13,31}, {12,53}, {4,51}, {4,25}, {10,38}, {10,60}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {6,62}, {13,55}, {1,62}, {12,26}, {8,63}, {18,56}, {16,56}, {17,39}, {9,61}, {11,20}, {6,42}, {13,38}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {11,46}, {4,31}, {11,54}, {3,41}, {10,33}, {18,24}, {15,49}, {1,38}, {5,37}, {3,44}, {8,23}, {14,21}, {14,44}, {12,60}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {6,20}, {6,61}, {18,45}, {2,46}, {7,56}, {10,41}, {13,58}, {6,26}, {12,34}, {11,55}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {17,41}, {11,30}, {2,48}, {2,23}, {16,58}, {7,39}, {10,56}, {9,51}, {1,33}, {12,30}, {2,32}, {6,33}, {18,63}, {14,55}, {4,23}, {15,52}, {16,50}, {9,36}, {10,40}, {18,47}, {6,27}, {14,63}, {8,46}, {15,32}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {13,42}, {14,45}, {3,45}, {4,43}, {1,51}, {6,63}, {16,32}, {9,32}, {18,62}, {3,58}, {17,55}, {14,58}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {15,53}, {7,20}, {15,61}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {18,61}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {16,38}, {5,57}, {16,49}, {10,58}, {13,60}, {2,19}, {17,30}, {7,33}, {16,47}, {4,37}, {3,61}, {12,29}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {17,47}, {4,19}, {8,53}, {10,49}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.151 // Bipartite(18,45) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15794604461072056320 EdgesBipt[63][151]:={ {13,25}, {7,49}, {1,63}, {15,28}, {13,40}, {11,42}, {7,61}, {4,46}, {3,29}, {16,28}, {4,26}, {17,61}, {14,29}, {2,20}, {2,26}, {17,56}, {8,28}, {7,57}, {10,61}, {3,49}, {4,57}, {15,63}, {5,32}, {4,24}, {18,58}, {8,37}, {14,47}, {6,60}, {12,42}, {17,54}, {9,58}, {6,48}, {3,55}, {13,27}, {15,54}, {10,54}, {7,53}, {9,63}, {4,28}, {8,36}, {9,21}, {8,20}, {17,29}, {18,49}, {9,49}, {8,26}, {15,33}, {3,63}, {13,22}, {6,28}, {12,52}, {16,54}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {10,55}, {7,63}, {2,38}, {2,52}, {12,27}, {6,34}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {17,63}, {7,60}, {13,48}, {18,37}, {12,22}, {14,40}, {10,42}, {5,62}, {17,45}, {11,31}, {8,59}, {8,38}, {18,29}, {8,52}, {11,29}, {1,53}, {16,61}, {5,47}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {16,20}, {18,54}, {2,37}, {17,51}, {14,43}, {7,30}, {9,53}, {5,26}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,45}, {3,48}, {4,41}, {9,22}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {11,44}, {13,33}, {15,24}, {18,35}, {14,62}, {1,26}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {15,34}, {12,44}, {16,42}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {16,34}, {8,21}, {14,23}, {11,56}, {2,28}, {1,27}, {9,25}, {3,23}, {5,36}, {12,39}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {15,55}, {10,19}, {12,19}, {14,35}, {5,42}, {16,62}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {9,28}, {2,56}, {16,35}, {5,51}, {16,55}, {8,30}, {4,21}, {14,32}, {9,37}, {17,53}, {10,20}, {17,26}, {11,41}, {9,52}, {13,19}, {9,29}, {12,50}, {2,22}, {18,52}, {15,40}, {18,34}, {2,55}, {10,31}, {8,56}, {13,23}, {12,58}, {7,37}, {3,43}, {5,63}, {18,48}, {3,36}, {14,36}, {7,42}, {17,46}, {4,58}, {9,54}, {6,43}, {12,47}, {18,22}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {2,58}, {5,21}, {9,39}, {13,26}, {14,37}, {10,46}, {11,24}, {11,45}, {10,28}, {8,62}, {13,50}, {9,44}, {15,23}, {14,59}, {9,19}, {13,35}, {8,55}, {10,24}, {2,25}, {17,36}, {17,23}, {18,44}, {3,28}, {12,24}, {18,19}, {14,28}, {12,45}, {15,36}, {10,36}, {12,20}, {1,60}, {8,41}, {2,62}, {13,46}, {2,40}, {9,43}, {11,51}, {5,60}, {16,46}, {9,59}, {3,19}, {4,40}, {12,54}, {16,36}, {11,61}, {6,45}, {18,43}, {7,40}, {4,62}, {6,44}, {18,60}, {9,46}, {15,37}, {7,55}, {12,62}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {8,25}, {1,30}, {15,46}, {1,52}, {9,23}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {5,30}, {15,22}, {12,57}, {16,27}, {10,57}, {3,46}, {16,31}, {12,63}, {18,30}, {11,59}, {6,50}, {1,40}, {10,26}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {6,22}, {11,63}, {16,41}, {16,25}, {17,44}, {6,32}, {15,31}, {10,35}, {4,27}, {17,59}, {3,24}, {7,27}, {4,32}, {15,58}, {12,59}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {3,34}, {18,39}, {13,20}, {9,48}, {3,38}, {2,43}, {11,23}, {16,40}, {3,59}, {15,19}, {9,33}, {15,38}, {7,38}, {14,30}, {8,32}, {17,24}, {1,61}, {7,52}, {4,54}, {13,31}, {5,31}, {4,51}, {4,25}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {14,52}, {3,52}, {2,53}, {6,62}, {13,55}, {1,45}, {16,56}, {17,39}, {9,61}, {6,42}, {13,38}, {11,26}, {13,57}, {11,46}, {4,31}, {11,54}, {15,39}, {10,39}, {13,34}, {14,56}, {18,24}, {15,49}, {16,39}, {1,38}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {17,57}, {13,30}, {9,24}, {13,52}, {6,20}, {18,45}, {3,39}, {10,41}, {7,56}, {12,34}, {4,20}, {4,50}, {2,50}, {17,41}, {11,30}, {8,43}, {2,23}, {16,58}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {1,33}, {12,30}, {2,32}, {6,33}, {18,63}, {14,55}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {7,45}, {14,38}, {18,57}, {6,30}, {13,56}, {17,27}, {13,42}, {17,60}, {14,45}, {5,44}, {4,43}, {6,63}, {16,32}, {18,62}, {3,58}, {18,32}, {14,58}, {7,50}, {12,43}, {5,39}, {15,53}, {7,20}, {15,61}, {3,40}, {16,19}, {13,49}, {10,21}, {3,33}, {1,57}, {17,21}, {5,57}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {5,24}, {7,33}, {16,47}, {13,45}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,62}, {16,24}, {8,50}, {17,47}, {13,63}, {4,19}, {6,59}, {11,60}, {8,53}, {10,49}, {4,36}, {5,54}, {6,29} }; // ETB63.152 // Bipartite(18,45) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 285315214344192000000000 EdgesBipt[63][152]:={ {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {7,61}, {4,46}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {14,47}, {12,42}, {2,57}, {17,54}, {18,51}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {15,54}, {2,39}, {7,28}, {7,53}, {7,62}, {9,63}, {15,50}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {17,29}, {18,49}, {9,49}, {8,26}, {15,62}, {10,29}, {3,63}, {13,22}, {6,28}, {5,43}, {5,61}, {12,32}, {2,30}, {14,25}, {5,56}, {1,41}, {3,54}, {4,30}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {12,27}, {6,34}, {4,38}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {18,28}, {13,51}, {17,63}, {13,29}, {13,48}, {13,62}, {18,37}, {15,45}, {12,22}, {14,40}, {10,42}, {17,45}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {8,38}, {11,29}, {14,27}, {16,61}, {5,47}, {17,42}, {11,47}, {10,25}, {12,35}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {13,53}, {6,19}, {14,61}, {5,23}, {16,20}, {18,54}, {7,59}, {17,51}, {14,43}, {5,25}, {11,48}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {8,57}, {9,22}, {5,20}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {11,44}, {13,33}, {10,23}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {12,44}, {8,35}, {11,38}, {5,27}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {6,57}, {16,43}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {16,34}, {10,48}, {8,21}, {14,23}, {11,56}, {18,21}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {7,31}, {12,33}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {15,27}, {12,41}, {5,42}, {16,62}, {4,56}, {3,31}, {2,47}, {10,43}, {5,29}, {15,57}, {9,28}, {2,56}, {16,35}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {17,53}, {10,20}, {17,26}, {9,52}, {13,19}, {12,50}, {2,22}, {4,33}, {18,52}, {18,34}, {11,49}, {8,56}, {12,58}, {7,37}, {1,28}, {5,63}, {18,48}, {3,36}, {14,36}, {4,58}, {9,54}, {6,43}, {18,22}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {2,58}, {9,39}, {13,26}, {10,46}, {7,43}, {11,45}, {8,33}, {10,28}, {8,62}, {15,23}, {14,59}, {9,42}, {9,19}, {13,35}, {16,37}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {12,24}, {18,19}, {12,45}, {15,36}, {16,29}, {1,60}, {8,41}, {2,62}, {13,46}, {2,40}, {9,43}, {17,50}, {6,53}, {5,60}, {16,46}, {15,30}, {3,19}, {4,40}, {12,54}, {11,61}, {1,39}, {6,45}, {18,43}, {7,40}, {18,25}, {4,62}, {10,37}, {6,44}, {18,60}, {9,46}, {10,52}, {15,37}, {7,55}, {12,62}, {7,35}, {4,42}, {3,53}, {14,41}, {4,29}, {9,60}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {1,59}, {16,22}, {3,35}, {4,49}, {9,40}, {14,31}, {8,45}, {7,46}, {14,20}, {5,59}, {11,62}, {11,57}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {6,46}, {2,49}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {12,63}, {18,30}, {4,22}, {6,50}, {6,23}, {17,20}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {15,25}, {3,60}, {11,63}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {6,32}, {17,35}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {15,48}, {4,55}, {8,54}, {18,39}, {13,20}, {9,48}, {13,21}, {2,43}, {14,34}, {13,44}, {16,40}, {1,47}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {17,24}, {1,61}, {7,52}, {2,63}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {10,38}, {10,60}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {14,52}, {5,49}, {6,25}, {13,39}, {11,43}, {2,53}, {6,62}, {13,55}, {12,26}, {18,46}, {8,63}, {10,30}, {16,56}, {17,39}, {9,61}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {14,56}, {18,24}, {1,38}, {7,41}, {3,44}, {8,23}, {2,29}, {12,60}, {18,40}, {17,57}, {13,30}, {9,24}, {9,45}, {14,42}, {6,61}, {18,45}, {7,56}, {10,41}, {13,58}, {6,26}, {15,41}, {4,20}, {16,44}, {4,48}, {17,41}, {11,30}, {2,48}, {16,58}, {15,21}, {10,56}, {14,60}, {9,51}, {1,33}, {18,63}, {15,52}, {16,50}, {9,36}, {6,27}, {12,40}, {14,63}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {3,45}, {11,22}, {1,51}, {6,63}, {16,32}, {16,53}, {3,58}, {14,58}, {7,50}, {1,21}, {6,21}, {13,47}, {15,53}, {7,20}, {15,61}, {2,54}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {10,21}, {18,61}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {16,38}, {16,49}, {4,53}, {12,37}, {13,60}, {17,30}, {5,24}, {12,31}, {16,47}, {4,37}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,62}, {8,50}, {17,47}, {4,19}, {6,59}, {12,55}, {8,53}, {6,41}, {12,46}, {5,54}, {2,31} }; // ETB63.153 // Bipartite(18,45) Valencies [30,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 169266594447360 EdgesBipt[63][153]:={ {13,25}, {3,42}, {1,63}, {15,28}, {13,40}, {7,61}, {3,29}, {4,26}, {17,61}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {10,61}, {15,63}, {5,32}, {18,58}, {5,52}, {14,47}, {7,24}, {2,57}, {18,51}, {9,58}, {6,48}, {11,52}, {11,34}, {12,25}, {10,54}, {7,53}, {7,28}, {18,38}, {7,62}, {1,32}, {8,36}, {9,21}, {8,20}, {13,43}, {18,49}, {9,49}, {15,62}, {10,29}, {15,33}, {3,63}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {16,57}, {2,30}, {10,27}, {3,54}, {4,30}, {14,54}, {8,24}, {2,38}, {4,52}, {4,38}, {1,49}, {11,39}, {7,54}, {16,33}, {7,26}, {18,28}, {13,51}, {4,34}, {17,63}, {17,19}, {13,48}, {10,63}, {18,37}, {15,45}, {12,22}, {10,42}, {9,41}, {5,62}, {17,25}, {11,35}, {3,27}, {11,31}, {11,37}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {12,35}, {12,48}, {11,36}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {5,53}, {5,23}, {18,54}, {4,59}, {17,51}, {14,43}, {5,25}, {9,53}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {18,53}, {5,20}, {7,51}, {8,39}, {15,43}, {18,27}, {12,38}, {11,44}, {13,33}, {10,23}, {14,62}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {18,42}, {18,55}, {15,34}, {12,44}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {6,40}, {9,31}, {7,23}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {14,23}, {4,45}, {18,21}, {2,28}, {1,27}, {5,22}, {4,44}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {1,29}, {2,34}, {15,55}, {10,19}, {15,27}, {14,35}, {12,41}, {16,62}, {11,32}, {4,56}, {3,31}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {5,28}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {17,53}, {10,20}, {17,26}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {1,44}, {10,31}, {11,49}, {16,60}, {7,37}, {3,43}, {3,36}, {16,48}, {14,36}, {17,46}, {6,43}, {11,50}, {18,22}, {3,37}, {2,58}, {7,36}, {13,26}, {10,46}, {11,24}, {7,43}, {8,33}, {8,62}, {13,50}, {9,44}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {2,25}, {17,36}, {17,23}, {3,28}, {12,24}, {18,19}, {14,28}, {12,45}, {10,36}, {12,20}, {12,61}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {5,60}, {9,59}, {15,30}, {12,54}, {16,36}, {11,61}, {1,39}, {18,43}, {7,40}, {18,25}, {4,62}, {6,44}, {2,42}, {18,60}, {9,46}, {15,37}, {7,55}, {7,35}, {15,29}, {14,41}, {4,29}, {8,25}, {5,34}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {4,49}, {14,26}, {18,23}, {7,46}, {8,45}, {6,47}, {14,20}, {5,59}, {11,62}, {11,33}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {15,22}, {16,27}, {6,56}, {10,57}, {5,40}, {3,46}, {12,63}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {17,20}, {1,23}, {17,31}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {3,60}, {11,63}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {6,32}, {17,35}, {10,35}, {9,47}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {4,32}, {15,58}, {12,59}, {2,27}, {1,19}, {13,41}, {15,48}, {8,54}, {18,39}, {13,20}, {13,21}, {2,43}, {4,63}, {9,62}, {16,40}, {1,47}, {3,59}, {15,19}, {8,42}, {8,32}, {7,38}, {14,30}, {1,61}, {7,52}, {12,23}, {12,53}, {13,31}, {4,51}, {10,38}, {10,60}, {3,30}, {17,38}, {6,54}, {1,46}, {10,34}, {5,49}, {11,28}, {6,25}, {11,43}, {3,52}, {2,53}, {17,34}, {6,62}, {13,55}, {1,62}, {12,26}, {18,46}, {8,63}, {10,30}, {16,56}, {9,61}, {11,20}, {6,42}, {7,32}, {11,46}, {9,56}, {11,54}, {3,41}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {18,40}, {17,57}, {13,30}, {14,39}, {14,42}, {13,52}, {6,20}, {6,61}, {18,45}, {2,46}, {3,39}, {7,56}, {13,58}, {6,26}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {17,41}, {8,43}, {2,23}, {7,39}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {6,33}, {4,23}, {16,63}, {15,52}, {9,36}, {16,21}, {6,27}, {12,40}, {17,40}, {15,32}, {14,38}, {18,57}, {7,58}, {13,56}, {17,27}, {8,48}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {11,22}, {6,63}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {10,45}, {7,20}, {13,49}, {10,21}, {15,56}, {18,61}, {3,33}, {1,57}, {1,24}, {17,21}, {15,26}, {16,38}, {4,53}, {12,37}, {13,60}, {2,19}, {5,24}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {4,35}, {2,35}, {17,33}, {17,62}, {16,24}, {8,50}, {17,47}, {13,63}, {4,19}, {6,59}, {12,55}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB63.154 // Bipartite(21,42) Valencies [30,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 505542895416115200000000 EdgesBipt[63][154]:={ {13,25}, {3,42}, {7,49}, {1,63}, {15,28}, {6,36}, {7,61}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {20,25}, {17,61}, {7,47}, {2,26}, {17,56}, {4,60}, {19,22}, {20,50}, {8,28}, {10,61}, {3,49}, {4,57}, {15,63}, {14,49}, {5,32}, {18,58}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {9,63}, {1,32}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {19,58}, {3,63}, {13,22}, {5,43}, {5,61}, {16,57}, {12,32}, {20,22}, {3,25}, {10,27}, {3,54}, {14,54}, {7,63}, {10,55}, {8,24}, {2,38}, {2,52}, {19,49}, {12,27}, {19,60}, {6,34}, {17,22}, {1,49}, {11,39}, {21,31}, {7,54}, {7,26}, {19,38}, {11,27}, {18,28}, {4,34}, {17,63}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {5,62}, {17,45}, {14,33}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {19,30}, {8,52}, {14,27}, {1,53}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {21,57}, {12,35}, {12,48}, {20,57}, {15,59}, {10,51}, {3,22}, {5,53}, {13,53}, {14,61}, {5,23}, {7,59}, {17,51}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {8,57}, {4,41}, {18,53}, {20,58}, {7,51}, {9,55}, {18,27}, {2,36}, {11,44}, {15,24}, {10,23}, {18,35}, {20,32}, {14,62}, {1,26}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {16,42}, {12,44}, {15,34}, {16,30}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {7,23}, {20,39}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {16,43}, {8,47}, {10,50}, {2,45}, {19,35}, {1,42}, {16,34}, {8,49}, {10,48}, {19,31}, {14,23}, {20,43}, {5,22}, {9,25}, {3,23}, {5,36}, {20,60}, {9,26}, {12,39}, {21,36}, {7,31}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {21,22}, {15,27}, {14,35}, {12,41}, {16,62}, {21,59}, {11,32}, {4,56}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,52}, {19,24}, {16,35}, {21,51}, {21,40}, {5,51}, {16,55}, {11,58}, {9,37}, {17,26}, {11,41}, {19,44}, {8,34}, {8,61}, {12,50}, {2,22}, {4,33}, {18,52}, {15,40}, {18,34}, {2,55}, {8,56}, {12,58}, {19,32}, {7,37}, {21,45}, {1,28}, {19,52}, {3,43}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {9,54}, {6,43}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {9,39}, {21,61}, {14,37}, {11,24}, {11,45}, {8,33}, {20,31}, {10,28}, {8,62}, {13,50}, {9,44}, {15,60}, {14,59}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {2,25}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {14,28}, {20,62}, {10,36}, {16,29}, {1,60}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {17,50}, {11,51}, {5,60}, {4,40}, {16,36}, {11,61}, {1,39}, {6,45}, {7,40}, {17,37}, {18,25}, {4,62}, {10,37}, {6,44}, {18,60}, {9,46}, {12,62}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {20,38}, {14,41}, {4,29}, {9,60}, {5,34}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {4,61}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {11,62}, {11,33}, {5,58}, {19,23}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {13,59}, {12,57}, {21,54}, {16,27}, {19,43}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {12,63}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {8,29}, {17,31}, {19,56}, {9,34}, {19,36}, {15,25}, {6,22}, {3,60}, {16,41}, {13,28}, {16,52}, {3,57}, {17,44}, {2,33}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {14,24}, {6,55}, {4,32}, {19,39}, {2,27}, {15,35}, {21,53}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {18,39}, {9,48}, {2,43}, {4,63}, {14,34}, {9,62}, {11,23}, {1,47}, {6,51}, {9,33}, {8,42}, {15,38}, {7,38}, {14,30}, {17,24}, {1,61}, {7,52}, {4,54}, {12,23}, {12,53}, {13,31}, {4,25}, {3,30}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {14,52}, {13,39}, {2,53}, {20,51}, {19,63}, {19,42}, {19,50}, {6,62}, {13,55}, {18,46}, {8,63}, {18,56}, {1,45}, {10,30}, {16,56}, {17,58}, {9,61}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {19,59}, {11,46}, {9,56}, {11,54}, {15,39}, {10,33}, {17,49}, {13,34}, {14,56}, {20,24}, {3,56}, {18,24}, {21,24}, {15,49}, {1,38}, {5,37}, {3,44}, {2,29}, {20,30}, {14,44}, {12,60}, {20,59}, {1,36}, {17,57}, {20,48}, {14,42}, {21,58}, {13,52}, {6,61}, {18,45}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {2,50}, {4,48}, {11,30}, {21,52}, {8,43}, {2,48}, {16,58}, {7,39}, {10,56}, {9,51}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {18,63}, {14,55}, {16,63}, {15,52}, {16,50}, {10,40}, {6,27}, {14,63}, {17,40}, {7,45}, {20,41}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {14,45}, {5,44}, {4,43}, {9,32}, {18,62}, {3,58}, {18,32}, {21,32}, {21,26}, {14,58}, {16,45}, {5,39}, {12,43}, {15,53}, {15,61}, {2,54}, {3,40}, {16,59}, {20,46}, {12,36}, {13,49}, {21,39}, {15,56}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {7,33}, {20,36}, {15,47}, {20,45}, {21,60}, {13,45}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {17,33}, {20,53}, {16,24}, {8,50}, {17,47}, {13,63}, {21,38}, {6,59}, {12,55}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {5,54}, {6,29}, {2,31} }; // ETB63.155 // Bipartite(21,42) Valencies [30,15] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2958824445050880 EdgesBipt[63][155]:={ {13,25}, {3,42}, {7,49}, {1,63}, {6,36}, {11,42}, {7,61}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {20,25}, {17,61}, {14,29}, {2,26}, {17,56}, {4,60}, {19,22}, {20,50}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {18,51}, {9,58}, {6,48}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {2,39}, {7,28}, {2,24}, {9,63}, {15,50}, {20,27}, {4,28}, {19,51}, {17,29}, {18,49}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {3,63}, {12,52}, {16,54}, {5,43}, {12,32}, {2,30}, {14,25}, {5,56}, {10,27}, {1,41}, {4,30}, {10,55}, {14,54}, {21,35}, {8,24}, {2,38}, {2,52}, {19,49}, {12,27}, {6,34}, {17,22}, {11,39}, {21,31}, {7,54}, {16,33}, {19,38}, {8,44}, {18,28}, {13,51}, {4,34}, {17,63}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {14,33}, {3,32}, {3,27}, {8,59}, {8,38}, {19,30}, {8,52}, {16,61}, {5,47}, {16,51}, {17,42}, {11,47}, {21,57}, {12,35}, {12,48}, {20,57}, {11,36}, {14,22}, {1,55}, {15,59}, {16,26}, {3,22}, {5,53}, {13,53}, {14,61}, {5,23}, {18,54}, {7,59}, {2,37}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {17,32}, {5,50}, {21,30}, {20,44}, {5,45}, {3,48}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {7,34}, {20,54}, {15,43}, {12,38}, {11,44}, {13,33}, {15,24}, {10,23}, {20,32}, {1,26}, {9,27}, {1,25}, {14,51}, {5,46}, {18,42}, {18,55}, {15,34}, {12,44}, {16,42}, {16,30}, {8,58}, {2,60}, {5,27}, {1,50}, {9,31}, {20,39}, {4,39}, {1,22}, {6,57}, {21,55}, {12,56}, {8,47}, {6,39}, {10,50}, {17,48}, {2,45}, {19,35}, {1,42}, {10,48}, {19,31}, {18,26}, {4,45}, {2,28}, {1,27}, {5,22}, {3,23}, {4,44}, {5,36}, {20,60}, {9,26}, {21,36}, {7,31}, {5,38}, {1,37}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {15,55}, {21,22}, {15,27}, {14,35}, {5,42}, {16,62}, {21,59}, {11,32}, {2,47}, {10,43}, {5,29}, {21,25}, {9,28}, {20,52}, {2,56}, {19,24}, {16,35}, {21,51}, {21,40}, {5,28}, {5,51}, {9,37}, {17,53}, {11,41}, {19,44}, {9,52}, {8,34}, {8,61}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {1,44}, {11,49}, {13,23}, {16,60}, {19,32}, {7,37}, {21,45}, {19,52}, {3,43}, {5,63}, {3,36}, {16,48}, {20,23}, {14,36}, {9,54}, {12,47}, {18,22}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {17,28}, {2,58}, {7,36}, {9,39}, {21,61}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {8,62}, {13,50}, {15,23}, {14,59}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {17,36}, {17,23}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {20,62}, {10,36}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {17,50}, {11,51}, {6,53}, {9,59}, {4,40}, {11,61}, {18,43}, {7,40}, {17,37}, {18,25}, {4,62}, {10,37}, {6,44}, {2,42}, {18,60}, {15,37}, {7,55}, {7,35}, {4,42}, {21,43}, {3,53}, {15,29}, {9,60}, {8,25}, {1,43}, {15,46}, {1,52}, {13,36}, {1,59}, {3,35}, {4,49}, {18,23}, {4,61}, {5,48}, {9,40}, {14,31}, {8,45}, {7,46}, {8,22}, {6,47}, {19,28}, {20,37}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {19,23}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {2,49}, {12,57}, {15,22}, {21,54}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {16,31}, {12,63}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {1,23}, {8,29}, {19,56}, {1,48}, {7,22}, {15,44}, {19,36}, {14,57}, {15,25}, {3,60}, {11,63}, {16,41}, {16,52}, {3,57}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {17,59}, {18,36}, {10,59}, {14,24}, {6,55}, {4,32}, {15,58}, {12,59}, {2,27}, {13,41}, {15,48}, {4,55}, {8,54}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {4,63}, {14,34}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {20,35}, {15,38}, {7,38}, {14,30}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {10,34}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {2,53}, {20,51}, {19,63}, {19,42}, {19,50}, {17,34}, {6,62}, {13,55}, {1,62}, {12,26}, {18,46}, {8,63}, {1,45}, {16,56}, {17,58}, {17,39}, {9,61}, {11,26}, {13,57}, {12,51}, {20,34}, {19,59}, {11,46}, {9,56}, {11,54}, {3,41}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {3,56}, {18,24}, {21,24}, {16,39}, {1,38}, {3,44}, {8,23}, {20,30}, {19,27}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {21,58}, {13,52}, {18,45}, {19,53}, {3,39}, {10,41}, {7,56}, {13,58}, {6,26}, {11,55}, {15,41}, {19,45}, {17,41}, {11,30}, {21,52}, {8,43}, {2,48}, {16,58}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {18,63}, {14,55}, {19,26}, {4,23}, {16,63}, {15,52}, {19,48}, {10,40}, {18,47}, {6,27}, {17,40}, {7,45}, {8,46}, {20,41}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {8,48}, {19,46}, {11,40}, {17,60}, {14,45}, {5,44}, {5,35}, {4,43}, {11,22}, {16,32}, {9,32}, {16,53}, {18,62}, {3,58}, {18,32}, {17,55}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {13,47}, {15,61}, {2,54}, {21,49}, {3,40}, {16,59}, {20,46}, {12,36}, {21,39}, {18,61}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {5,57}, {4,53}, {16,49}, {10,58}, {13,60}, {5,24}, {7,33}, {12,31}, {16,47}, {20,36}, {15,47}, {21,60}, {3,61}, {12,29}, {10,62}, {2,35}, {20,53}, {10,32}, {17,62}, {16,24}, {8,50}, {21,38}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {6,29}, {2,31} }; // ETB63.156 // Bipartite(28,35) Valencies [30,24] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8282814798497631436800000000 EdgesBipt[63][156]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {25,30}, {16,63}, {13,49}, {28,53}, {4,30}, {28,62}, {16,42}, {15,61}, {25,35}, {21,35}, {18,50}, {23,51}, {16,48}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {9,62}, {20,47}, {28,43}, {21,50}, {18,60}, {1,61}, {26,54}, {26,63}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {7,42}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {10,57}, {7,59}, {11,61}, {15,33}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {26,59}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {1,33}, {7,63}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {16,39}, {15,31}, {10,45}, {20,33}, {1,58}, {7,48}, {14,56}, {11,33}, {18,40}, {14,59}, {18,44}, {28,46}, {5,47}, {16,54}, {27,63}, {11,32}, {22,43}, {22,59}, {28,37}, {5,61}, {15,55}, {24,41}, {8,61}, {14,63}, {25,55}, {1,55}, {4,50}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {25,60}, {28,29}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {11,58}, {17,62}, {22,38}, {19,56}, {26,39}, {22,46}, {3,56}, {10,60}, {14,38}, {4,49}, {20,58}, {16,51}, {23,62}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {19,63}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {6,62}, {27,59}, {8,33}, {5,31}, {2,48}, {2,62}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {13,35}, {3,59}, {26,53}, {10,40}, {23,48}, {13,30}, {17,42}, {18,47}, {3,63}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {1,60}, {20,45}, {3,46}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {7,53}, {13,57}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {7,62}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {28,63}, {5,35}, {24,35}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {13,45}, {8,30}, {9,59}, {21,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {28,59}, {28,42}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {9,63}, {11,60}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {16,62}, {10,61}, {5,60}, {25,58}, {6,56}, {3,62}, {23,63}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {28,34}, {27,62}, {6,59}, {23,56}, {20,37}, {17,59}, {12,44}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {6,63}, {11,37}, {25,61}, {14,55}, {2,30}, {17,63}, {24,60}, {1,29}, {2,63}, {6,30}, {9,35}, {27,49}, {5,42}, {22,62}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {14,62}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {28,35}, {6,57}, {10,46}, {28,50}, {15,57}, {27,40}, {25,39}, {5,37}, {24,36}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {19,58}, {28,52}, {9,45}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {26,61}, {6,31}, {27,44}, {27,58}, {12,61}, {6,45}, {23,30}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {11,29}, {19,44}, {3,40}, {28,60}, {18,53}, {11,42}, {13,54}, {2,34}, {9,60}, {22,40}, {11,63}, {20,42}, {13,37}, {21,53}, {6,34}, {23,35}, {28,41}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {22,47}, {23,33}, {4,29}, {21,51}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {18,62}, {17,35}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {25,51}, {20,54}, {7,49}, {22,58}, {20,63}, {11,36}, {6,52}, {1,59}, {15,48}, {16,61}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {25,29}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {27,61}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {21,29}, {5,38}, {25,42}, {9,40}, {28,44}, {10,36}, {24,63}, {1,54}, {16,30}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {25,62}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {7,55}, {4,51}, {8,38}, {21,62}, {27,47}, {17,45}, {22,61}, {13,63}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {27,41}, {5,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {26,35}, {16,34}, {25,36}, {12,30}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {18,29}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {26,30}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {20,62}, {5,59}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {5,63}, {11,53}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {26,60}, {7,60}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {27,33}, {14,34}, {23,49}, {6,49}, {2,49}, {15,51}, {22,30}, {4,48}, {27,34}, {1,62}, {23,40}, {1,51}, {19,31}, {22,52}, {15,38}, {11,46}, {26,45}, {17,55}, {20,43}, {9,61}, {7,52}, {22,57}, {26,52}, {7,50}, {22,50}, {16,41}, {9,49}, {3,35}, {15,53}, {27,31}, {14,31}, {11,43}, {3,57}, {6,47}, {27,29}, {15,62}, {23,47}, {23,44}, {12,60}, {2,47}, {14,45}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {18,63}, {27,35}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {6,40}, {18,48}, {25,41}, {3,45}, {11,62}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {27,57}, {26,37}, {14,42}, {15,40}, {3,60}, {1,44}, {14,52}, {11,47}, {3,50}, {12,37}, {14,36}, {25,63}, {19,50}, {28,58}, {27,36}, {19,52}, {17,61}, {6,43}, {21,63}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {1,40}, {28,39}, {15,44}, {25,56}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {18,35}, {14,48}, {8,62}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {18,30}, {10,32}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {13,62}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {3,54}, {17,46}, {6,61}, {26,36}, {4,34}, {27,48} }; // ETB63.157 // Bipartite(7,56) Valencies [32,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29104017696422975515121418240000000 EdgesBipt[63][157]:={ {2,44}, {1,11}, {3,33}, {2,33}, {6,16}, {6,32}, {4,27}, {2,46}, {7,15}, {5,63}, {3,40}, {1,10}, {4,53}, {2,61}, {4,50}, {4,56}, {6,17}, {7,48}, {2,23}, {2,51}, {7,55}, {7,38}, {4,29}, {1,57}, {1,32}, {3,13}, {3,45}, {7,41}, {7,44}, {1,40}, {5,56}, {7,22}, {2,19}, {7,8}, {1,19}, {2,27}, {4,62}, {3,35}, {5,47}, {2,26}, {7,34}, {2,62}, {7,51}, {2,9}, {7,36}, {3,52}, {2,41}, {3,61}, {6,11}, {2,54}, {7,58}, {3,17}, {3,63}, {6,21}, {3,34}, {5,40}, {2,25}, {6,31}, {1,38}, {4,60}, {2,34}, {1,17}, {1,50}, {5,22}, {4,22}, {3,49}, {7,57}, {1,18}, {3,14}, {6,58}, {7,20}, {5,50}, {4,8}, {5,29}, {4,41}, {2,37}, {5,43}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {1,61}, {7,13}, {2,53}, {7,43}, {5,58}, {1,22}, {6,30}, {6,63}, {5,23}, {4,21}, {3,20}, {6,60}, {1,59}, {6,49}, {2,13}, {2,20}, {6,18}, {2,48}, {1,29}, {5,61}, {7,30}, {7,50}, {2,16}, {4,35}, {7,16}, {2,32}, {1,12}, {4,57}, {6,24}, {5,30}, {6,44}, {7,17}, {6,46}, {4,48}, {1,60}, {5,49}, {1,45}, {6,56}, {5,14}, {4,55}, {4,15}, {4,13}, {3,27}, {4,28}, {1,33}, {4,43}, {7,62}, {3,10}, {6,23}, {1,43}, {3,26}, {4,46}, {5,28}, {5,42}, {1,52}, {7,31}, {4,36}, {6,51}, {5,12}, {5,54}, {3,19}, {7,59}, {1,24}, {5,44}, {1,39}, {3,62}, {5,36}, {3,21}, {1,25}, {1,46}, {6,9}, {5,51}, {1,53}, {7,29}, {1,15}, {6,28}, {6,14}, {2,11}, {6,42}, {7,23}, {5,33}, {3,24}, {6,45}, {1,26}, {4,34}, {4,14}, {3,48}, {5,8}, {2,47}, {6,25}, {1,47}, {7,9}, {6,38}, {4,49}, {2,40}, {3,55}, {6,10}, {5,26}, {2,58}, {3,42}, {4,18}, {5,9}, {6,52}, {4,25}, {3,38}, {1,8}, {4,11}, {4,20}, {3,28}, {7,10}, {7,27}, {7,45}, {3,41}, {3,54}, {3,31}, {7,24}, {2,12}, {6,59}, {2,55}, {5,15}, {6,39}, {6,37}, {3,47}, {5,19}, {5,21}, {2,30}, {3,59}, {6,53}, {7,37}, {5,35}, {1,54}, {2,18}, {2,60}, {7,52}, {5,37}, {6,35}, {4,39}, {4,63}, {4,32}, {5,57}, {1,36}, {5,16} }; // ETB63.158 // Bipartite(15,48) Valencies [32,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 94962856514092151376129968880746496000000000000 EdgesBipt[63][158]:={ {13,25}, {3,42}, {7,49}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {7,61}, {4,46}, {9,18}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {10,61}, {3,49}, {15,63}, {5,32}, {14,47}, {6,60}, {12,42}, {2,57}, {9,58}, {15,16}, {6,48}, {3,55}, {12,25}, {15,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {15,33}, {7,17}, {3,63}, {13,22}, {6,28}, {12,52}, {13,61}, {2,30}, {5,56}, {3,25}, {1,41}, {3,54}, {14,54}, {10,55}, {8,24}, {2,38}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,29}, {13,62}, {10,22}, {15,45}, {12,22}, {5,62}, {14,33}, {11,35}, {3,27}, {8,59}, {8,38}, {11,29}, {14,27}, {1,53}, {5,47}, {11,47}, {10,25}, {12,48}, {13,17}, {11,36}, {11,21}, {1,55}, {3,22}, {15,51}, {5,53}, {13,53}, {6,19}, {5,23}, {4,59}, {7,59}, {5,26}, {6,31}, {1,31}, {2,41}, {6,58}, {11,48}, {2,59}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {11,44}, {10,23}, {15,24}, {14,62}, {1,26}, {9,27}, {1,25}, {14,51}, {3,51}, {10,16}, {15,34}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {7,16}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {8,21}, {14,23}, {3,16}, {11,56}, {9,25}, {4,44}, {5,36}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {6,52}, {1,29}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {5,29}, {15,57}, {9,28}, {2,56}, {5,51}, {12,18}, {8,30}, {14,32}, {9,37}, {12,21}, {10,20}, {11,41}, {9,52}, {13,19}, {15,40}, {1,44}, {10,31}, {3,18}, {13,23}, {8,56}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {5,63}, {1,17}, {3,36}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {5,21}, {9,39}, {13,26}, {10,46}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {8,62}, {13,50}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {13,32}, {3,28}, {12,24}, {12,45}, {15,36}, {12,61}, {8,41}, {15,42}, {2,62}, {13,46}, {9,43}, {11,51}, {5,60}, {15,30}, {3,19}, {4,40}, {12,54}, {6,45}, {7,40}, {4,62}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {14,41}, {4,29}, {9,60}, {1,43}, {15,46}, {1,52}, {1,59}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {7,46}, {8,45}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {7,25}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {13,59}, {6,46}, {12,57}, {15,22}, {9,30}, {3,46}, {12,63}, {8,17}, {11,59}, {4,22}, {1,40}, {10,26}, {1,23}, {8,29}, {7,22}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {13,28}, {3,57}, {2,33}, {15,31}, {10,35}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {4,32}, {15,58}, {2,27}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {13,20}, {9,48}, {13,44}, {11,23}, {1,47}, {6,51}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {1,61}, {7,52}, {2,63}, {13,31}, {8,18}, {4,25}, {10,38}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {6,25}, {11,17}, {3,52}, {2,53}, {15,18}, {13,55}, {1,62}, {4,16}, {8,63}, {6,18}, {9,61}, {11,20}, {6,42}, {7,32}, {13,38}, {11,26}, {6,16}, {12,51}, {7,44}, {4,31}, {11,54}, {15,39}, {13,34}, {14,56}, {15,49}, {1,38}, {7,41}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,61}, {3,39}, {10,41}, {7,56}, {13,58}, {12,34}, {4,20}, {4,50}, {2,50}, {12,16}, {11,30}, {2,48}, {2,23}, {15,21}, {10,56}, {14,60}, {9,51}, {10,44}, {12,30}, {2,32}, {6,33}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {14,63}, {14,38}, {6,30}, {7,58}, {13,56}, {8,48}, {2,17}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {6,63}, {9,16}, {3,58}, {7,50}, {12,43}, {5,39}, {6,21}, {13,47}, {7,20}, {2,54}, {15,61}, {3,40}, {12,36}, {13,49}, {3,33}, {5,17}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {5,24}, {12,31}, {4,37}, {3,61}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {8,50}, {4,19}, {12,55}, {13,16}, {8,53}, {11,60}, {10,49}, {12,46}, {1,58}, {5,54} }; // ETB63.159 // Bipartite(15,48) Valencies [32,10] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3093539295963326479073280000000 EdgesBipt[63][159]:={ {13,25}, {3,42}, {7,49}, {1,63}, {15,28}, {13,40}, {6,36}, {11,42}, {7,61}, {4,46}, {10,17}, {3,29}, {14,29}, {7,47}, {4,60}, {8,28}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {15,16}, {9,58}, {6,48}, {3,55}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {7,53}, {9,63}, {15,50}, {4,28}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {7,17}, {13,22}, {12,52}, {13,61}, {12,32}, {14,25}, {5,56}, {3,25}, {10,27}, {3,54}, {4,30}, {10,55}, {2,52}, {4,52}, {12,27}, {1,49}, {11,39}, {7,54}, {2,21}, {11,27}, {8,44}, {4,34}, {7,60}, {13,48}, {13,62}, {10,63}, {15,45}, {12,22}, {10,42}, {15,20}, {5,62}, {14,33}, {11,35}, {3,32}, {8,59}, {8,38}, {8,52}, {11,29}, {14,27}, {5,47}, {11,47}, {10,25}, {12,35}, {11,36}, {11,21}, {1,55}, {10,51}, {15,51}, {5,53}, {6,19}, {14,61}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {11,48}, {2,59}, {5,50}, {3,48}, {4,41}, {9,22}, {13,54}, {5,20}, {7,34}, {9,55}, {12,38}, {11,44}, {15,24}, {10,23}, {14,62}, {9,27}, {1,25}, {14,51}, {5,46}, {15,34}, {12,44}, {8,58}, {8,35}, {11,38}, {9,31}, {7,23}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {2,45}, {1,42}, {8,49}, {10,48}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {13,18}, {3,50}, {2,34}, {10,19}, {15,27}, {14,35}, {12,41}, {5,42}, {6,49}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {5,28}, {14,32}, {4,21}, {9,37}, {12,21}, {10,18}, {11,41}, {9,52}, {8,34}, {13,19}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {10,31}, {3,18}, {8,56}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {3,36}, {7,42}, {4,58}, {6,43}, {11,50}, {12,47}, {7,29}, {11,53}, {2,51}, {6,37}, {12,28}, {3,37}, {2,58}, {7,36}, {9,39}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,62}, {13,50}, {9,44}, {12,17}, {15,60}, {14,59}, {9,19}, {8,55}, {1,54}, {13,32}, {10,24}, {2,25}, {12,45}, {15,36}, {10,36}, {12,20}, {1,60}, {8,41}, {15,42}, {13,46}, {2,40}, {9,43}, {11,51}, {5,60}, {15,30}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {14,19}, {10,37}, {6,44}, {9,46}, {7,55}, {12,62}, {7,35}, {4,42}, {3,53}, {14,41}, {4,29}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {13,36}, {3,35}, {14,26}, {5,48}, {9,40}, {14,31}, {7,46}, {8,22}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {10,53}, {5,30}, {2,49}, {12,57}, {15,22}, {6,56}, {10,57}, {5,40}, {12,63}, {8,17}, {11,59}, {4,22}, {6,50}, {1,40}, {8,29}, {1,48}, {7,22}, {15,44}, {9,34}, {14,57}, {3,60}, {11,63}, {13,28}, {2,33}, {6,32}, {10,35}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {15,58}, {12,59}, {2,27}, {1,19}, {5,41}, {15,48}, {13,20}, {3,38}, {2,43}, {4,63}, {13,44}, {9,62}, {11,23}, {6,51}, {3,59}, {9,33}, {8,16}, {15,38}, {8,32}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {4,51}, {10,60}, {3,30}, {6,54}, {1,46}, {7,48}, {6,25}, {11,17}, {2,53}, {15,18}, {6,62}, {13,55}, {4,16}, {12,26}, {1,45}, {10,30}, {6,18}, {9,61}, {11,20}, {6,42}, {13,38}, {11,26}, {13,24}, {12,51}, {9,56}, {11,54}, {3,41}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {1,36}, {13,30}, {14,39}, {9,45}, {13,52}, {6,20}, {6,61}, {2,46}, {10,41}, {13,58}, {6,26}, {12,34}, {8,19}, {12,16}, {4,48}, {11,30}, {8,43}, {2,23}, {15,21}, {9,51}, {9,38}, {1,33}, {6,33}, {14,55}, {4,23}, {15,52}, {6,27}, {12,40}, {14,63}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {13,56}, {6,38}, {2,17}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {1,51}, {6,63}, {9,16}, {9,32}, {1,21}, {6,21}, {10,45}, {13,49}, {7,18}, {10,21}, {15,56}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {4,53}, {13,60}, {1,16}, {2,19}, {5,24}, {3,61}, {12,29}, {4,35}, {10,47}, {7,19}, {2,35}, {8,50}, {13,16}, {8,53}, {11,60}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {2,31} }; // ETB63.160 // Bipartite(21,42) Valencies [32,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 253671505920 EdgesBipt[63][160]:={ {13,25}, {3,42}, {7,49}, {1,63}, {15,28}, {13,40}, {6,36}, {11,42}, {14,48}, {7,61}, {4,46}, {3,29}, {16,28}, {20,33}, {20,25}, {17,61}, {19,41}, {14,29}, {7,47}, {17,56}, {4,60}, {19,22}, {20,50}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {13,27}, {2,39}, {7,28}, {2,24}, {18,38}, {7,62}, {1,32}, {15,50}, {4,28}, {19,51}, {8,36}, {17,29}, {19,37}, {18,49}, {8,26}, {15,62}, {10,29}, {19,58}, {3,63}, {12,52}, {16,54}, {13,61}, {16,57}, {12,32}, {14,25}, {20,22}, {5,56}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {21,35}, {2,38}, {20,42}, {2,52}, {4,52}, {12,27}, {19,60}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {16,33}, {7,26}, {19,38}, {8,44}, {18,28}, {13,51}, {4,34}, {17,63}, {13,48}, {13,62}, {10,22}, {10,63}, {18,37}, {15,45}, {20,29}, {12,22}, {14,40}, {10,42}, {9,41}, {17,43}, {21,46}, {5,62}, {3,32}, {3,27}, {11,31}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {20,28}, {12,35}, {12,48}, {11,36}, {14,22}, {1,55}, {15,59}, {16,26}, {10,51}, {15,51}, {5,53}, {13,53}, {14,61}, {5,23}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {5,25}, {8,40}, {1,31}, {6,58}, {2,59}, {17,32}, {5,50}, {16,23}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {9,22}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {20,54}, {9,55}, {18,27}, {2,36}, {11,44}, {13,33}, {15,24}, {10,23}, {20,32}, {14,62}, {1,26}, {18,31}, {1,25}, {5,46}, {18,55}, {15,34}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {6,40}, {9,31}, {20,39}, {5,33}, {4,39}, {1,22}, {6,57}, {21,55}, {12,56}, {6,24}, {8,47}, {16,43}, {10,50}, {17,48}, {2,45}, {19,35}, {1,42}, {8,49}, {10,48}, {19,31}, {14,23}, {18,26}, {4,45}, {20,43}, {3,23}, {4,44}, {5,36}, {20,60}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {14,50}, {8,60}, {3,50}, {21,37}, {2,34}, {15,55}, {21,22}, {21,63}, {14,35}, {12,41}, {21,59}, {11,32}, {3,31}, {10,43}, {5,29}, {21,25}, {15,57}, {20,49}, {20,52}, {2,56}, {20,40}, {16,35}, {5,28}, {5,51}, {21,62}, {8,30}, {14,32}, {9,37}, {17,53}, {19,44}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {18,52}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {16,60}, {12,58}, {19,32}, {21,45}, {1,28}, {19,52}, {18,48}, {3,36}, {16,48}, {20,23}, {14,36}, {7,42}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {21,56}, {7,29}, {11,53}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {20,61}, {7,36}, {9,39}, {13,26}, {11,24}, {7,43}, {11,45}, {8,33}, {20,31}, {10,28}, {9,44}, {15,60}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {13,32}, {10,24}, {2,25}, {17,36}, {17,23}, {21,29}, {3,28}, {9,35}, {12,24}, {14,28}, {12,45}, {20,62}, {15,36}, {15,42}, {13,46}, {2,40}, {9,43}, {17,50}, {11,51}, {6,53}, {16,46}, {9,59}, {15,30}, {4,40}, {12,54}, {16,36}, {6,45}, {18,43}, {7,40}, {18,25}, {4,62}, {21,27}, {10,37}, {6,44}, {2,42}, {18,60}, {10,52}, {15,37}, {12,62}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {14,41}, {9,60}, {8,25}, {5,34}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {1,59}, {16,22}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {14,31}, {7,46}, {6,47}, {20,37}, {5,59}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {2,61}, {8,27}, {10,53}, {5,30}, {13,59}, {6,46}, {12,57}, {21,54}, {16,27}, {19,43}, {14,46}, {9,30}, {12,63}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {19,56}, {7,22}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {3,57}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {10,35}, {9,47}, {4,27}, {17,59}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {15,58}, {19,39}, {2,27}, {15,35}, {5,41}, {13,41}, {4,55}, {8,54}, {19,29}, {18,39}, {3,38}, {2,43}, {4,63}, {14,34}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {8,42}, {20,35}, {7,38}, {15,38}, {1,61}, {7,52}, {2,63}, {13,31}, {12,53}, {5,31}, {4,51}, {4,25}, {10,38}, {18,33}, {21,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {21,47}, {7,48}, {14,52}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {20,51}, {19,63}, {19,42}, {19,50}, {17,34}, {6,62}, {13,55}, {1,62}, {12,26}, {18,46}, {8,63}, {10,30}, {16,56}, {17,39}, {9,61}, {6,42}, {13,38}, {11,26}, {13,24}, {12,51}, {19,59}, {11,46}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {17,49}, {19,47}, {13,34}, {14,56}, {20,24}, {21,24}, {15,49}, {20,63}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {20,30}, {14,44}, {12,60}, {19,27}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {21,58}, {13,52}, {6,61}, {19,53}, {2,46}, {3,39}, {7,56}, {6,26}, {12,34}, {11,55}, {15,41}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {2,48}, {16,58}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {19,26}, {4,23}, {9,36}, {19,48}, {10,40}, {19,62}, {18,47}, {6,27}, {21,41}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {6,30}, {11,25}, {20,56}, {13,56}, {17,27}, {8,48}, {19,46}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {6,63}, {16,32}, {16,53}, {18,62}, {3,58}, {18,32}, {17,55}, {21,26}, {16,45}, {7,50}, {12,43}, {13,47}, {10,45}, {15,53}, {2,54}, {15,61}, {21,49}, {3,40}, {16,59}, {20,46}, {12,36}, {21,39}, {15,56}, {18,61}, {3,33}, {1,57}, {19,25}, {15,26}, {18,41}, {21,28}, {16,38}, {5,57}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {20,45}, {21,60}, {13,45}, {4,37}, {3,61}, {10,47}, {2,35}, {17,33}, {20,53}, {10,32}, {17,62}, {16,24}, {8,50}, {13,63}, {21,38}, {12,55}, {11,60}, {6,41}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.161 // Bipartite(27,36) Valencies [32,24] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 9661075180967637307883520 EdgesBipt[63][161]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {16,63}, {13,49}, {4,30}, {15,61}, {5,55}, {25,35}, {21,35}, 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{20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {9,58}, {29,38}, {22,42}, {30,44}, {1,46}, {27,52}, {8,51}, {18,34}, {30,46}, {15,46}, {18,31}, {27,57}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {25,63}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {17,61}, {6,43}, {21,63}, {27,54}, {19,45}, {7,57}, {5,53}, {29,61}, {30,40}, {27,60}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {19,54}, {13,55}, {6,46}, {25,59}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {13,62}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB63.164 // Bipartite(12,51) Valencies [34,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3732420112429877917687412296888860278784000000000 EdgesBipt[63][164]:={ {6,52}, {10,37}, {8,57}, {6,25}, {5,38}, {5,56}, {4,28}, {3,58}, {5,59}, {8,51}, {11,59}, {5,45}, {2,62}, {2,60}, {12,63}, {12,22}, {8,63}, {8,26}, {1,49}, {1,40}, {3,61}, {10,62}, {2,35}, {4,31}, {6,15}, {5,57}, {11,15}, {8,21}, {3,19}, {11,57}, {5,15}, {1,19}, {11,53}, {8,23}, {12,16}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {11,14}, {4,37}, {4,40}, {6,58}, {2,33}, {4,38}, {3,49}, {11,29}, {11,35}, {10,56}, {11,17}, {11,27}, {1,20}, {3,18}, {10,47}, {9,18}, {10,17}, {12,28}, {12,48}, {4,43}, {1,52}, {8,30}, {7,59}, {9,33}, {12,46}, {1,17}, {4,16}, {4,13}, {9,57}, {5,41}, {6,60}, {7,41}, {1,13}, {4,58}, {12,42}, {6,39}, {11,39}, {6,49}, {2,17}, {10,26}, {12,31}, {3,52}, {12,40}, {10,20}, {5,60}, {2,48}, {2,15}, {12,13}, {6,18}, {1,29}, {12,37}, {2,56}, {6,46}, {7,56}, {10,35}, {4,23}, {11,18}, {8,38}, {5,50}, {4,49}, {12,52}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {1,61}, {6,34}, {9,36}, {1,43}, {9,39}, {11,51}, {12,49}, {8,42}, {4,62}, {4,22}, {5,54}, {6,51}, {4,61}, {11,63}, {5,27}, {10,59}, {7,14}, {3,43}, {2,39}, {8,18}, {9,46}, {7,32}, {12,24}, {1,31}, {3,31}, {12,27}, {3,51}, {3,13}, {9,13}, {7,37}, {6,27}, {7,53}, {5,53}, {2,30}, {11,42}, {5,35}, {9,58}, {3,63}, {3,36}, {8,48}, {11,60}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {12,15}, {8,15}, {11,21}, {6,36}, {8,17}, {1,55}, {4,53}, {10,16}, {11,36}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {11,23}, {3,24}, {2,51}, {10,38}, {6,16}, {10,46}, {10,58}, {11,33}, {8,60}, {9,55}, {11,48}, {10,55}, {8,47}, {8,24}, {4,41}, {8,41}, {5,14}, {7,46}, {8,45}, {10,61}, {1,41}, {2,23}, {10,13}, {12,55}, {1,59}, {9,54}, {10,19}, {9,22}, {4,47}, {9,19}, {11,44}, {8,59}, {3,25}, {7,35}, {2,27}, {12,30}, {6,30}, {7,50}, {1,22}, {7,34}, {11,24}, {9,31}, {10,31}, {10,44}, {10,29}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {7,28}, {6,45}, {12,18}, {9,25}, {10,22}, {4,50}, {7,23}, {11,62}, {12,45}, {6,22}, {4,34}, {10,25}, {6,31}, {11,32}, {9,52}, {7,61}, {11,54}, {12,25}, {1,16}, {3,42}, {10,52}, {3,22}, {1,44}, {4,14}, {7,49}, {4,29}, {1,32}, {4,59}, {7,52}, {6,43}, {6,37}, {8,32}, {6,57}, {9,24}, {10,28}, {3,60}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {12,43}, {5,20}, {2,26}, {10,40}, {5,63}, {9,21}, {7,29}, {1,62}, {11,56}, {8,29}, {8,36}, {8,27}, {2,45}, {4,55}, {3,48}, {3,33}, {9,61}, {10,50}, {11,30}, {9,28}, {3,34}, {2,21}, {7,55}, {5,24}, {11,47}, {4,46}, {12,61}, {11,45}, {3,54}, {6,63}, {12,36}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {4,25}, {10,41}, {3,28}, {7,31}, {12,33}, {8,33}, {5,47}, {12,39}, {12,58}, {2,57}, {3,57}, {6,54}, {8,14}, {1,53}, {12,60}, {3,15}, {5,51}, {11,41}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {9,15}, {10,53}, {12,34}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {11,20}, {10,34}, {5,17}, {3,40}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {12,57}, {9,63}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {2,59}, {10,43}, {2,63}, {8,62}, {6,55}, {5,62}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {12,54}, {10,23}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {10,14}, {10,32}, {11,50}, {12,19}, {1,37}, {1,58}, {2,42}, {6,61}, {2,32}, {6,33}, {12,21}, {2,14}, {7,62}, {12,51}, {11,26}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {5,30}, {10,49}, {11,38}, {9,37}, {6,40} }; // ETB63.165 // Bipartite(29,34) Valencies [34,29] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 2610378141853763072806870806959766561166454025538051768320000000000000 EdgesBipt[63][165]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {25,30}, {16,63}, {13,49}, {28,53}, {4,30}, {28,62}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {9,62}, {29,46}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {1,61}, {26,54}, {26,63}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {29,39}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {29,53}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {22,63}, {6,42}, {11,55}, {12,42}, {29,36}, {14,43}, {4,60}, {20,34}, {1,33}, {7,63}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {29,62}, {11,35}, {10,52}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {29,42}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {28,46}, {5,47}, {29,51}, {16,54}, {27,63}, {11,32}, {22,43}, {22,59}, {26,48}, {28,37}, {5,61}, {15,55}, {24,41}, {8,61}, {14,63}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {11,52}, {17,51}, {11,45}, {25,60}, {11,31}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {17,62}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {29,54}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {23,62}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {19,63}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {6,62}, {27,59}, {8,33}, {5,31}, {2,48}, {2,62}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {13,35}, {3,59}, {10,40}, {26,53}, {23,48}, {29,37}, {13,30}, {20,60}, {17,42}, {18,47}, {23,36}, {3,63}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {26,62}, {1,60}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {7,62}, {12,62}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {28,63}, {5,35}, {24,35}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {29,48}, {6,37}, {25,44}, {24,50}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {28,59}, {8,35}, {28,42}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {9,63}, {11,60}, {21,47}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {9,48}, {21,58}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {16,62}, {10,61}, {5,60}, {25,58}, {6,56}, {3,62}, {23,63}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {28,34}, {27,62}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {29,41}, {7,40}, {17,56}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {6,63}, {11,37}, {25,61}, {21,61}, {14,55}, {2,30}, {17,63}, {24,60}, {2,63}, {6,30}, {9,35}, {29,63}, {27,49}, {5,42}, {22,62}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {29,59}, {3,49}, {4,43}, {24,48}, {14,62}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {17,32}, {25,46}, {13,60}, {8,42}, {28,35}, {6,57}, {10,46}, {28,50}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {19,58}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {29,56}, {19,40}, {29,31}, {8,37}, {8,48}, {14,49}, {20,36}, {26,61}, {6,31}, {27,44}, {27,58}, {12,61}, {6,45}, {22,49}, {23,30}, {19,55}, {29,34}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {3,58}, {19,44}, {3,40}, {28,60}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {11,63}, {20,42}, {13,37}, {21,53}, {7,61}, {23,50}, {6,34}, {15,56}, {23,35}, {29,33}, {28,41}, {29,35}, {29,32}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {15,63}, {18,38}, {22,47}, {23,33}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {18,62}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {20,54}, {25,51}, {29,57}, {7,49}, {22,58}, {1,56}, {20,63}, {11,36}, {29,30}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {28,40}, {2,52}, {23,45}, {16,35}, {20,56}, {27,61}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {29,60}, {5,38}, {9,40}, {25,42}, {28,44}, {10,36}, {24,63}, {1,54}, {16,30}, {12,34}, {1,63}, {29,52}, {7,33}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {29,45}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {25,62}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {29,50}, {3,61}, {4,62}, {10,62}, {7,55}, {12,55}, {4,51}, {8,38}, {21,62}, {27,47}, {17,45}, {22,61}, {13,63}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {24,46}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {9,57}, {26,35}, {16,34}, {12,30}, {25,36}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {6,60}, {4,42}, {16,45}, {10,54}, {24,38}, {21,36}, {29,44}, {23,55}, {5,43}, {9,47}, {29,49}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {20,62}, {5,59}, {1,39}, {4,37}, {8,43}, {29,55}, {25,48}, {14,30}, {21,48}, {17,58}, {5,63}, {19,34}, {8,63}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {28,61}, {18,36}, {4,54}, {26,60}, {7,60}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {27,33}, {23,49}, {29,40}, {26,41}, {6,49}, {27,32}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {27,34}, {1,62}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {28,47}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {29,58}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {15,62}, {23,47}, {23,44}, {12,60}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {6,58}, {22,32}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {18,63}, {27,35}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {11,62}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {29,38}, {22,42}, {1,46}, {27,52}, {8,51}, {18,34}, {15,46}, {18,31}, {27,57}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {25,63}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {17,61}, {6,43}, {21,63}, {27,54}, {19,45}, {7,57}, {5,53}, {29,61}, {27,60}, {29,43}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {29,47}, {8,53}, {18,35}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {13,62}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB63.166 // Bipartite(28,35) Valencies [35,28] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3150456378099369225801395801503166539338823823925234892800000000000000 EdgesBipt[63][166]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {28,51}, {25,57}, {24,49}, {4,33}, {4,32}, {10,31}, {28,38}, {16,29}, {25,30}, {16,63}, {13,49}, {28,53}, {4,30}, {28,62}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {9,62}, {20,47}, {15,49}, {28,43}, {21,50}, {18,60}, {1,61}, {26,54}, {26,63}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {22,63}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {7,63}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {28,46}, {5,47}, {16,54}, {27,63}, {11,32}, {22,43}, {22,59}, {26,48}, {28,37}, {5,61}, {15,55}, {24,41}, {8,61}, {14,63}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {11,52}, {17,51}, {11,45}, {25,60}, {28,29}, {11,31}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {17,62}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {16,51}, {23,62}, {15,30}, {3,43}, {27,56}, {19,43}, {18,57}, {1,45}, {19,63}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {6,62}, {27,59}, {8,33}, {5,31}, {2,48}, {2,62}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {3,59}, {10,40}, {26,53}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {23,36}, {3,63}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {26,62}, {1,60}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {28,36}, {15,45}, {28,54}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {7,62}, {12,62}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {27,39}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {27,46}, {28,63}, {5,35}, {24,35}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {25,44}, {16,46}, {24,50}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {25,40}, {25,49}, {11,41}, {9,56}, {12,53}, {24,33}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {28,59}, {8,35}, {28,42}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {28,56}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {9,63}, {11,60}, {21,47}, {8,52}, {8,45}, {7,46}, {27,51}, {13,42}, {16,38}, {9,31}, {28,48}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {28,32}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {28,33}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {16,62}, {10,61}, {5,60}, {25,58}, {6,56}, {3,62}, {23,63}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {28,34}, {27,62}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {28,31}, {26,46}, {6,63}, {11,37}, {25,61}, {21,61}, {14,55}, {2,30}, {17,63}, {24,60}, {1,29}, {2,63}, {6,30}, {9,35}, {27,49}, {5,42}, {22,62}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {14,62}, {12,47}, {20,57}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {13,60}, {8,42}, {28,35}, {6,57}, {10,46}, {28,50}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {28,30}, {19,58}, {5,48}, {28,52}, {9,45}, {7,47}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {26,61}, {6,31}, {27,44}, {27,58}, {12,61}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {28,60}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {11,63}, {20,42}, {13,37}, {21,53}, {7,61}, {23,50}, {6,34}, {15,56}, {23,35}, {28,41}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {15,63}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {18,62}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {28,45}, {14,44}, {20,54}, {25,51}, {7,49}, {22,58}, {1,56}, {20,63}, {11,36}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {25,29}, {28,40}, {2,52}, {23,45}, {16,35}, {20,56}, {27,61}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {25,42}, {28,44}, {10,36}, {24,63}, {1,54}, {16,30}, {12,34}, {1,63}, {7,33}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {25,62}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {7,55}, {12,55}, {4,51}, {8,38}, {21,62}, {27,47}, {17,45}, {22,61}, {13,63}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {9,57}, {26,35}, {16,34}, {12,30}, {25,36}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {20,62}, {5,59}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {17,58}, {5,63}, {19,34}, {8,63}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {28,61}, {18,36}, {4,54}, {26,60}, {7,60}, {28,57}, {3,33}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {27,33}, {23,49}, {26,41}, {6,49}, {27,32}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {27,34}, {1,62}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {28,47}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {17,44}, {9,49}, {3,35}, {15,53}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {27,29}, {15,62}, {23,47}, {23,44}, {12,60}, {2,47}, {14,45}, {13,53}, {28,49}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {18,63}, {27,35}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {11,62}, {20,40}, {18,32}, {16,60}, {20,44}, {19,36}, {18,33}, {28,55}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {25,63}, {2,43}, {19,50}, {28,58}, {27,36}, {19,52}, {17,61}, {6,43}, {21,63}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {27,60}, {1,40}, {28,39}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {18,35}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {19,48}, {13,62}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB63.167 // Bipartite(9,54) Valencies [36,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 340116782745172625249265445553997392904192000000000 EdgesBipt[63][167]:={ {6,52}, {8,57}, {6,25}, {5,38}, {5,56}, {4,28}, {3,58}, {5,59}, {9,10}, {8,51}, {5,45}, {2,62}, {2,60}, {8,63}, {8,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {5,57}, {8,21}, {3,19}, {5,15}, {1,19}, {8,23}, {2,18}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {4,37}, {4,40}, {6,58}, {2,33}, {4,38}, {3,49}, {1,20}, {3,18}, {9,18}, {4,43}, {1,52}, {8,30}, {7,59}, {9,33}, {8,12}, {1,17}, {4,16}, {1,10}, {4,13}, {9,57}, {7,11}, {5,41}, {6,60}, {7,41}, {1,13}, {3,10}, {4,58}, {6,39}, {6,49}, {2,17}, {3,52}, {5,60}, {2,48}, {2,15}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {1,38}, {1,26}, {2,36}, {1,61}, {6,34}, {9,36}, {1,43}, {9,39}, {8,42}, {4,62}, {4,22}, {5,54}, {6,51}, {4,61}, {5,27}, {7,14}, {3,43}, {6,10}, {2,39}, {8,18}, {9,46}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {7,37}, {5,12}, {6,27}, {7,53}, {5,53}, {2,30}, {5,35}, {9,58}, {3,63}, {3,36}, {6,12}, {8,48}, {7,19}, {4,32}, {2,44}, {8,56}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {8,60}, {9,55}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {1,41}, {2,23}, {1,59}, {9,54}, {9,22}, {4,11}, {4,47}, {9,19}, {8,59}, {3,25}, {7,35}, {2,27}, {6,30}, {2,12}, {7,50}, {1,22}, {7,34}, {9,31}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {5,39}, {9,30}, {8,53}, {9,12}, {7,28}, {6,45}, {9,25}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {9,52}, {7,61}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {7,49}, {4,29}, {1,32}, {4,59}, {7,52}, {6,43}, {6,37}, {8,32}, {6,57}, {9,24}, {3,60}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {2,26}, {5,63}, {9,21}, {7,29}, {1,62}, {8,29}, {8,36}, {8,27}, {2,45}, {4,55}, {3,48}, {3,33}, {2,11}, {9,61}, {9,28}, {3,34}, {2,21}, {1,11}, {7,55}, {5,24}, {8,11}, {4,46}, {3,54}, {6,63}, {3,45}, {2,53}, {5,26}, {7,47}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {3,57}, {6,54}, {8,14}, {7,10}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {9,15}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {1,23}, {5,18}, {5,17}, {3,40}, {7,17}, {8,35}, {8,54}, {6,21}, {9,45}, {4,26}, {9,63}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {2,59}, {2,63}, {8,62}, {6,55}, {5,62}, {7,44}, {9,49}, {7,43}, {9,40}, {4,20}, {8,20}, {5,44}, {4,52}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {3,12}, {7,13}, {9,42}, {5,36}, {9,34}, {1,37}, {1,58}, {2,42}, {6,61}, {2,32}, {6,33}, {2,14}, {7,62}, {3,46}, {9,48}, {5,48}, {5,33}, {4,56}, {5,30}, {9,37}, {6,40} }; // ETB63.168 // Bipartite(9,54) Valencies [36,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 164403361698604618736518299648000000 EdgesBipt[63][168]:={ {6,52}, {7,48}, {8,57}, {6,25}, {9,32}, {5,38}, {9,17}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {2,62}, {3,26}, {8,63}, {1,49}, {5,11}, {1,40}, {4,31}, {6,15}, {8,40}, {3,35}, {8,21}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {3,21}, {6,48}, {3,39}, {5,32}, {1,35}, {7,30}, {2,61}, {4,37}, {4,40}, {2,46}, {6,58}, {2,33}, {9,11}, {1,20}, {8,16}, {2,34}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {9,57}, {5,41}, {6,60}, {8,52}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {6,39}, {6,49}, {7,33}, {3,52}, {5,60}, {2,15}, {5,37}, {9,56}, {9,35}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {4,23}, {9,62}, {5,50}, {4,49}, {9,47}, {6,24}, {1,38}, {1,26}, {3,17}, {7,15}, {8,22}, {1,61}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {8,42}, {9,20}, {4,22}, {7,54}, {5,54}, {6,51}, {3,38}, {4,61}, {7,14}, {6,10}, {2,39}, {4,18}, {8,18}, {9,59}, {3,47}, {7,32}, {7,60}, {1,31}, {3,51}, {7,37}, {5,12}, {6,27}, {5,53}, {5,35}, {3,63}, {6,12}, {8,48}, {7,19}, {4,60}, {2,44}, {2,13}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {9,51}, {3,16}, {1,47}, {2,51}, {6,16}, {8,60}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {5,14}, {8,45}, {3,59}, {3,29}, {3,62}, {1,41}, {1,59}, {9,54}, {4,11}, {3,44}, {4,47}, {5,61}, {8,59}, {2,43}, {2,27}, {6,30}, {7,50}, {1,22}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {2,16}, {8,34}, {6,22}, {4,34}, {6,31}, {7,61}, {1,16}, {3,22}, {1,44}, {7,49}, {9,41}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {9,44}, {4,59}, {6,43}, {6,37}, {7,24}, {6,57}, {9,24}, {5,31}, {2,19}, {5,23}, {5,20}, {3,53}, {2,26}, {9,21}, {1,62}, {2,28}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {4,55}, {3,33}, {3,50}, {3,34}, {2,21}, {1,11}, {7,55}, {5,24}, {2,22}, {8,11}, {4,46}, {3,56}, {2,31}, {8,58}, {6,63}, {3,45}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,51}, {1,53}, {3,15}, {7,25}, {9,50}, {1,14}, {1,34}, {7,42}, {2,50}, {9,15}, {9,60}, {6,28}, {6,42}, {4,35}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {5,18}, {1,23}, {5,55}, {5,17}, {3,40}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {9,63}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {7,63}, {2,38}, {2,63}, {6,55}, {5,62}, {7,44}, {8,28}, {7,43}, {5,44}, {5,13}, {5,25}, {9,53}, {4,52}, {1,46}, {4,19}, {8,39}, {7,13}, {9,14}, {9,42}, {5,36}, {7,36}, {1,37}, {1,58}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {7,62}, {3,46}, {9,48}, {5,48}, {2,58}, {5,30}, {4,54}, {6,40} }; // ETB63.169 // Bipartite(9,54) Valencies [36,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5615859363936731136000000000 EdgesBipt[63][169]:={ {6,52}, {8,57}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {3,58}, {5,59}, {9,10}, {8,51}, {5,45}, {2,62}, {3,26}, {8,63}, {8,26}, {5,11}, {2,35}, {4,31}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {2,18}, {1,21}, {6,48}, {5,32}, {4,51}, {2,61}, {4,37}, {4,40}, {6,14}, {6,32}, {4,38}, {3,49}, {1,12}, {1,20}, {3,18}, {2,34}, {9,18}, {2,25}, {4,24}, {1,52}, {2,52}, {4,30}, {7,59}, {8,30}, {9,33}, {8,12}, {1,10}, {4,13}, {9,57}, {7,11}, {5,41}, {7,41}, {3,10}, {4,58}, {6,39}, {2,17}, {1,24}, {5,60}, {2,48}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {6,44}, {8,38}, {5,50}, {4,49}, {2,29}, {5,34}, {1,38}, {3,17}, {2,36}, {1,61}, {6,34}, {9,36}, {1,43}, {9,39}, {4,62}, {8,42}, {4,22}, {5,54}, {5,27}, {7,14}, {6,17}, {6,10}, {2,39}, {8,18}, {9,46}, {1,42}, {7,32}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {6,27}, {7,53}, {2,30}, {9,58}, {3,63}, {3,36}, {6,12}, {4,21}, {8,48}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,55}, {9,51}, {1,47}, {3,24}, {6,16}, {8,60}, {9,55}, {8,24}, {8,47}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,59}, {3,62}, {1,41}, {1,51}, {1,59}, {9,54}, {9,22}, {4,11}, {3,44}, {4,47}, {9,19}, {5,61}, {8,59}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {7,50}, {4,33}, {7,34}, {4,57}, {9,31}, {7,58}, {1,25}, {6,19}, {2,20}, {4,17}, {9,16}, {9,30}, {8,53}, {9,12}, {3,32}, {7,28}, {6,45}, {2,16}, {9,25}, {5,40}, {7,23}, {1,57}, {9,52}, {7,61}, {1,16}, {3,42}, {3,22}, {4,15}, {7,49}, {1,48}, {6,23}, {3,41}, {4,29}, {1,32}, {7,52}, {6,43}, {6,37}, {8,32}, {6,57}, {9,24}, {5,31}, {3,60}, {4,44}, {2,54}, {7,40}, {5,23}, {5,20}, {3,53}, {2,26}, {5,63}, {1,60}, {9,21}, {7,29}, {8,29}, {8,36}, {8,27}, {2,45}, {4,55}, {3,33}, {2,11}, {9,61}, {3,50}, {9,28}, {2,21}, {1,11}, {7,55}, {5,24}, {2,22}, {8,11}, {4,46}, {2,31}, {1,33}, {5,58}, {3,54}, {6,63}, {3,45}, {2,53}, {3,14}, {7,47}, {4,42}, {5,29}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {6,54}, {8,14}, {7,10}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {6,41}, {9,15}, {9,60}, {8,44}, {6,28}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {2,47}, {7,16}, {5,16}, {1,23}, {5,18}, {3,40}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {9,63}, {1,28}, {3,27}, {7,20}, {9,27}, {7,38}, {5,42}, {2,38}, {2,63}, {8,62}, {6,55}, {6,53}, {7,44}, {9,49}, {7,43}, {6,62}, {9,40}, {4,20}, {8,20}, {5,13}, {5,25}, {9,43}, {1,46}, {4,19}, {8,39}, {3,37}, {7,13}, {9,42}, {5,36}, {9,34}, {4,39}, {6,35}, {6,50}, {1,37}, {6,61}, {4,48}, {7,62}, {3,46}, {9,48}, {5,33}, {2,58}, {4,56}, {9,37} }; // ETB63.170 // Bipartite(9,54) Valencies [36,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 173946175488 EdgesBipt[63][170]:={ {6,52}, {7,48}, {6,59}, {6,25}, {9,32}, {5,38}, {5,22}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {8,63}, {8,26}, {5,11}, {1,40}, {3,61}, {4,31}, {8,40}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,20}, {2,18}, {1,21}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {2,61}, {8,31}, {4,37}, {6,56}, {6,58}, {6,32}, {4,38}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {8,16}, {2,34}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {8,13}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {8,37}, {9,57}, {7,11}, {6,60}, {7,41}, {1,13}, {4,58}, {2,10}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {2,15}, {5,37}, {9,35}, {1,36}, {1,29}, {2,56}, {7,56}, {6,44}, {4,23}, {8,38}, {9,62}, {5,50}, {4,49}, {2,29}, {1,26}, {8,49}, {7,15}, {8,22}, {6,34}, {9,36}, {1,43}, {9,39}, {8,42}, {4,22}, {8,19}, {4,61}, {7,14}, {6,17}, {5,28}, {8,18}, {4,18}, {9,46}, {9,59}, {3,47}, {7,60}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {5,35}, {9,58}, {3,63}, {3,36}, {4,21}, {7,19}, {4,60}, {2,44}, {2,13}, {8,10}, {8,15}, {6,36}, {4,53}, {3,30}, {3,55}, {9,51}, {1,47}, {3,24}, {6,16}, {9,55}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {9,38}, {4,10}, {9,26}, {7,46}, {8,45}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,63}, {1,51}, {1,59}, {9,22}, {4,11}, {9,19}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {7,50}, {4,33}, {7,34}, {5,19}, {9,31}, {1,25}, {2,20}, {4,17}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {2,16}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {6,31}, {7,61}, {1,16}, {3,42}, {1,44}, {4,14}, {1,48}, {6,23}, {7,39}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,63}, {7,52}, {6,43}, {8,32}, {7,24}, {6,57}, {9,24}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {1,60}, {9,21}, {7,29}, {1,62}, {2,28}, {7,21}, {9,23}, {8,36}, {8,27}, {2,45}, {5,46}, {6,47}, {3,33}, {2,11}, {9,61}, {9,28}, {3,34}, {4,27}, {2,22}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {8,58}, {6,63}, {3,45}, {3,14}, {5,26}, {2,37}, {3,28}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {8,14}, {7,10}, {7,51}, {1,53}, {3,15}, {7,25}, {9,50}, {1,14}, {6,26}, {5,21}, {2,50}, {7,42}, {9,15}, {9,60}, {6,28}, {5,49}, {1,56}, {7,18}, {2,47}, {5,16}, {8,55}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {9,63}, {3,27}, {7,38}, {5,42}, {2,38}, {6,55}, {5,62}, {6,53}, {5,10}, {7,44}, {8,28}, {9,49}, {6,62}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {9,53}, {1,46}, {8,39}, {7,13}, {9,42}, {9,34}, {4,39}, {6,35}, {6,50}, {1,37}, {2,42}, {6,61}, {4,48}, {7,57}, {6,33}, {2,14}, {7,62}, {3,46}, {9,48}, {5,48}, {2,58}, {4,56}, {4,54}, {5,30} }; // ETB63.171 // Bipartite(21,42) Valencies [36,18] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 141519655971205624627200000000 EdgesBipt[63][171]:={ {3,42}, {7,49}, {13,40}, {6,36}, {11,42}, {14,48}, {4,46}, {3,29}, {20,26}, {16,28}, {4,26}, {20,33}, {17,61}, {14,29}, {2,26}, {17,56}, {4,60}, {19,22}, {20,50}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {18,58}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,34}, {3,55}, {13,27}, {12,25}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {15,50}, {20,27}, {4,28}, {19,51}, {8,36}, {13,43}, {17,29}, {19,37}, {18,49}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {19,58}, {3,63}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {12,32}, {2,30}, {14,25}, {20,22}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {21,35}, {8,24}, {2,38}, {20,42}, {2,52}, {19,49}, {19,60}, {6,34}, {17,22}, {11,39}, {21,31}, {16,33}, {19,38}, {11,27}, {8,44}, {18,28}, {13,51}, {4,34}, {17,63}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {18,37}, {15,45}, {20,29}, {12,22}, {10,42}, {9,41}, {17,43}, {21,46}, {17,45}, {17,25}, {11,35}, {3,27}, {3,32}, {8,59}, {11,37}, {8,38}, {18,29}, {19,30}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {16,51}, {17,42}, {11,47}, {21,57}, {18,50}, {20,28}, {10,25}, {12,35}, {20,57}, {11,36}, {14,22}, {19,54}, {1,55}, {19,40}, {15,59}, {16,26}, {3,22}, {15,51}, {5,53}, {5,23}, {18,54}, {7,59}, {2,37}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {21,30}, {21,44}, {20,44}, {5,45}, {3,48}, {21,42}, {8,57}, {4,41}, {18,53}, {20,58}, {13,54}, {7,51}, {8,39}, {7,34}, {20,54}, {9,55}, {15,43}, {18,27}, {12,38}, {11,44}, {13,33}, {15,24}, {18,35}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {2,60}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {21,55}, {12,56}, {6,24}, {8,47}, {10,50}, {2,44}, {17,48}, {2,45}, {19,35}, {16,34}, {10,48}, {19,31}, {14,23}, {18,26}, {11,56}, {2,28}, {1,27}, {20,43}, {5,22}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {21,36}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {14,50}, {6,52}, {3,50}, {21,37}, {1,29}, {2,34}, {15,55}, {21,22}, {21,63}, {14,35}, {15,27}, {5,42}, {16,62}, {21,59}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {5,29}, {21,25}, {15,57}, {9,28}, {20,49}, {20,52}, {2,56}, {20,40}, {19,24}, {16,35}, {21,51}, {5,28}, {5,51}, {16,55}, {21,62}, {11,58}, {8,30}, {14,32}, {9,37}, {17,53}, {17,26}, {11,41}, {19,44}, {9,52}, {8,34}, {8,61}, {12,50}, {4,33}, {15,40}, {18,34}, {21,34}, {2,55}, {1,44}, {10,31}, {11,49}, {13,23}, {16,60}, {12,58}, {19,32}, {7,37}, {21,45}, {19,52}, {3,43}, {5,63}, {18,48}, {3,36}, {16,48}, {20,23}, {7,42}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {21,56}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {17,28}, {2,58}, {20,61}, {7,36}, {9,39}, {13,26}, {10,46}, {14,37}, {7,43}, {8,33}, {20,31}, {10,28}, {8,62}, {13,50}, {9,44}, {15,23}, {15,60}, {14,59}, {9,42}, {21,50}, {19,57}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {2,25}, {17,36}, {18,44}, {21,29}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {20,62}, {15,36}, {10,36}, {1,60}, {12,61}, {8,41}, {2,62}, {2,40}, {17,50}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {4,40}, {12,54}, {11,61}, {1,39}, {6,45}, {18,43}, {18,25}, {4,62}, {21,27}, {6,44}, {2,42}, {18,60}, {9,46}, {10,52}, {7,55}, {15,37}, {7,35}, {4,42}, {21,23}, {21,43}, {3,53}, {15,29}, {20,38}, {14,41}, {4,29}, {9,60}, {8,25}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {18,23}, {4,61}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {19,28}, {20,37}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {19,23}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {19,43}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {12,63}, {18,30}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {17,31}, {19,56}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {19,36}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {2,33}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {17,59}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {19,39}, {2,27}, {21,53}, {13,41}, {15,48}, {4,55}, {8,54}, {19,33}, {19,29}, {3,34}, {18,39}, {9,48}, {3,38}, {4,63}, {14,34}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {9,33}, {20,35}, {8,32}, {7,38}, {14,30}, {15,38}, {17,24}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {18,33}, {17,38}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {11,43}, {3,52}, {2,53}, {20,51}, {19,63}, {19,42}, {19,50}, {17,34}, {6,62}, {13,55}, {1,62}, {12,26}, {18,46}, {18,56}, {1,45}, {16,56}, {17,39}, {9,61}, {6,42}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {20,34}, {17,52}, {19,59}, {11,46}, {9,56}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {19,47}, {13,34}, {14,56}, {20,24}, {3,56}, {21,24}, {20,63}, {16,39}, {1,38}, {5,37}, {7,41}, {8,23}, {20,30}, {14,44}, {12,60}, {20,59}, {1,36}, {18,40}, {17,57}, {13,30}, {9,24}, {20,48}, {14,39}, {9,45}, {14,42}, {21,58}, {13,52}, {6,61}, {19,53}, {2,46}, {3,39}, {10,41}, {7,56}, {13,58}, {6,26}, {11,55}, {15,41}, {4,50}, {16,44}, {19,45}, {4,48}, {17,41}, {11,30}, {19,61}, {21,52}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {1,33}, {12,30}, {2,32}, {6,33}, {18,63}, {14,55}, {19,26}, {4,23}, {16,63}, {15,52}, {10,40}, {18,47}, {6,27}, {12,40}, {21,41}, {14,63}, {17,40}, {7,45}, {8,46}, {20,41}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {20,56}, {13,56}, {17,27}, {6,38}, {8,48}, {19,46}, {11,40}, {13,42}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {21,48}, {4,43}, {11,22}, {1,51}, {6,63}, {16,32}, {9,32}, {16,53}, {18,62}, {18,32}, {17,55}, {21,32}, {20,47}, {14,58}, {16,45}, {7,50}, {12,43}, {5,39}, {13,47}, {10,45}, {15,53}, {2,54}, {15,61}, {21,49}, {3,40}, {16,59}, {12,36}, {13,49}, {21,39}, {18,61}, {3,33}, {1,57}, {1,24}, {19,25}, {15,26}, {20,55}, {18,41}, {21,28}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {5,24}, {12,31}, {16,47}, {20,36}, {15,47}, {20,45}, {21,60}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {2,35}, {17,33}, {10,32}, {17,62}, {16,24}, {8,50}, {17,47}, {13,63}, {21,38}, {6,59}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.172 // Bipartite(27,36) Valencies [36,27] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 4050586771842046147458937459075499836292773487903873433600000000000000 EdgesBipt[63][172]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {16,63}, {13,49}, {4,30}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {27,37}, {2,39}, {12,56}, {9,53}, {9,62}, {20,47}, {15,49}, {21,50}, {18,60}, {1,61}, {26,54}, {26,63}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {22,63}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {7,63}, {2,42}, {1,32}, {9,37}, {27,38}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {27,63}, {11,32}, {22,43}, {22,59}, {26,48}, {5,61}, {15,55}, {24,41}, {8,61}, {17,28}, {14,63}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {11,52}, {17,51}, {11,45}, {25,60}, {11,31}, {19,59}, {10,49}, {27,43}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {17,62}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, 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{11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {9,63}, {11,60}, {21,47}, {8,52}, {1,28}, {7,46}, {8,45}, {27,51}, {13,42}, {16,38}, {9,31}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {27,53}, {16,62}, {10,61}, {5,60}, {25,58}, {6,56}, {3,62}, {23,63}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {27,62}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {26,46}, {6,63}, {11,37}, {25,61}, {21,61}, {14,55}, {2,30}, {17,63}, {24,60}, {1,29}, {2,63}, {6,30}, {9,35}, {8,28}, {27,49}, {5,42}, {22,62}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {14,62}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {13,60}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {27,40}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {27,55}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {26,61}, {6,31}, {27,44}, {27,58}, {12,61}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {11,63}, {20,42}, {13,37}, {21,53}, {7,61}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {15,63}, {18,38}, {22,47}, {23,33}, {4,29}, {21,51}, {1,42}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {18,62}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {14,44}, {20,54}, {25,51}, {7,49}, {22,58}, {1,56}, {20,63}, {11,36}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {25,29}, {2,52}, {23,45}, {16,35}, {20,56}, {27,61}, {14,47}, {26,55}, {2,50}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {25,42}, {10,36}, {24,63}, {1,54}, {16,30}, {12,34}, {1,63}, {7,33}, {12,31}, {7,32}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {25,62}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {7,55}, {12,55}, {4,51}, {8,38}, {21,62}, {27,47}, {17,45}, {22,61}, {13,63}, {26,58}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {27,41}, {5,56}, {8,56}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {10,53}, {9,57}, {26,35}, {10,28}, {16,34}, {12,30}, {25,36}, {2,60}, {20,38}, {3,41}, {23,60}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {20,62}, {5,59}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {17,58}, {5,63}, {19,34}, {8,63}, {25,28}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {26,60}, {7,60}, {3,33}, {21,28}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {27,33}, {23,49}, {26,41}, {6,49}, {27,32}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {27,34}, {1,62}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {17,44}, {9,49}, {3,35}, {15,53}, {26,28}, {27,31}, {13,39}, {14,31}, {11,43}, {3,57}, {6,47}, {27,29}, {15,62}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {18,63}, {27,35}, {19,29}, {21,37}, {23,58}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {27,50}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {11,62}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {22,29}, {13,51}, {17,47}, {22,34}, {27,30}, {9,58}, {16,28}, {22,42}, {1,46}, {27,52}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {27,57}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {27,28}, {16,57}, {14,36}, {25,63}, {2,43}, {19,50}, {27,36}, {19,52}, {17,61}, {6,43}, {21,63}, {26,29}, {27,54}, {19,45}, {7,57}, {5,53}, {27,60}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {16,37}, {8,53}, {19,28}, {18,35}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {27,45}, {27,42}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {13,62}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34}, {27,48} }; // ETB63.173 // Bipartite(26,37) Valencies [37,26] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5550804094746507683554840221696055331216022927868271001600000000000000 EdgesBipt[63][173]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {25,30}, {16,63}, {13,49}, {4,30}, {16,42}, {15,61}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {26,42}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {26,54}, {26,63}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {15,34}, {18,41}, {11,49}, {26,56}, {20,55}, {12,48}, {9,43}, {26,59}, {3,38}, {15,58}, {11,30}, {22,63}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {23,29}, {1,33}, {7,63}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {11,32}, {22,43}, {22,59}, {26,48}, {5,61}, {26,27}, {15,55}, {24,41}, {8,61}, {17,28}, {14,63}, {25,55}, {1,55}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {24,61}, {21,60}, {11,52}, {17,51}, {11,45}, {25,60}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {17,62}, {22,38}, {19,56}, {26,39}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {23,62}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {19,63}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {6,62}, {8,33}, {5,31}, {2,48}, {2,62}, {16,53}, {6,48}, {20,35}, {17,48}, {26,38}, {5,34}, {9,29}, {13,35}, {23,28}, {3,59}, {7,27}, {10,40}, {26,53}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {23,36}, {3,63}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {26,62}, {1,60}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {26,43}, {24,52}, {7,62}, {12,62}, {22,51}, {20,41}, {7,51}, {12,38}, {15,52}, {1,52}, {24,57}, {14,39}, {26,51}, {5,30}, {24,30}, {5,35}, {24,35}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {25,44}, {16,46}, {24,50}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {21,44}, {10,44}, {13,31}, {2,28}, {25,40}, {15,28}, {25,49}, {6,28}, {11,41}, {9,56}, {12,53}, {24,33}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {24,32}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {22,53}, {15,41}, {24,31}, {9,32}, {9,33}, {8,29}, {9,54}, {18,58}, {24,45}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {4,27}, {23,37}, {25,43}, {25,47}, {24,29}, {9,42}, {13,50}, {26,44}, {1,37}, {12,40}, {9,63}, {11,60}, {21,47}, {8,52}, {1,28}, {7,46}, {8,45}, {13,42}, {16,38}, {25,27}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {26,40}, {21,38}, {15,37}, {7,44}, {2,41}, {16,62}, {10,61}, {5,60}, {25,58}, {6,56}, {3,62}, {23,63}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {6,59}, {25,38}, {23,56}, {20,37}, {17,59}, {12,44}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {26,46}, {18,27}, {6,63}, {11,37}, {25,61}, {21,61}, {14,55}, {2,30}, {17,63}, {24,60}, {1,29}, {2,63}, {6,30}, {9,35}, {8,28}, {5,42}, {22,62}, {18,39}, {10,43}, {16,44}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {14,62}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {25,46}, {13,60}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {25,39}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {14,49}, {20,36}, {26,61}, {6,31}, {12,61}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {11,63}, {20,42}, {13,37}, {21,53}, {7,61}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {15,63}, {18,38}, {22,47}, {1,42}, {4,29}, {21,51}, {23,33}, {10,39}, {11,48}, {15,54}, {25,53}, {7,31}, {12,33}, {2,33}, {18,62}, {17,35}, {6,32}, {26,47}, {14,58}, {12,32}, {22,44}, {14,44}, {20,54}, {25,51}, {7,49}, {22,58}, {1,56}, {20,63}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {25,29}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {26,55}, {2,50}, {24,27}, {18,37}, {26,49}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {26,34}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {25,42}, {10,36}, {24,63}, {1,54}, {16,30}, {12,34}, {1,63}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {26,31}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,49}, {25,62}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {7,55}, {12,55}, {4,51}, {8,38}, {21,62}, {17,45}, {22,61}, {13,63}, {26,58}, {15,27}, {8,59}, {26,32}, {26,33}, {20,48}, {20,39}, {5,56}, {8,56}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {26,35}, {10,28}, {16,34}, {12,30}, {25,36}, {2,60}, {20,38}, {3,41}, {15,39}, {23,60}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {26,30}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {20,62}, {5,59}, {1,39}, {4,37}, {8,43}, {25,48}, {14,30}, {21,48}, {4,28}, {17,58}, {5,63}, {1,27}, {19,34}, {8,63}, {25,28}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {26,60}, {7,60}, {3,33}, {21,28}, {26,50}, {12,52}, {17,40}, {14,57}, {20,51}, {25,54}, {1,53}, {12,50}, {12,45}, {5,46}, {14,34}, {23,49}, {11,27}, {26,41}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {1,62}, {23,40}, {1,51}, {19,31}, {22,52}, {3,30}, {15,38}, {11,46}, {26,45}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {26,52}, {17,44}, {9,49}, {3,35}, {15,53}, {26,28}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {15,62}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {25,37}, {14,33}, {2,58}, {3,29}, {22,32}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {18,63}, {19,29}, {21,37}, {19,57}, {23,58}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {25,41}, {3,45}, {11,62}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {26,37}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {25,63}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {21,63}, {26,29}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {22,60}, {11,40}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {13,62}, {9,27}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {26,57}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {26,36}, {3,37}, {4,34} }; // ETB63.174 // Bipartite(6,57) Valencies [38,4] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 86402259735153297651285618187217337701105664000000000 EdgesBipt[63][174]:={ {2,44}, {6,48}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {5,17}, {2,33}, {6,16}, {4,26}, {3,22}, {5,63}, {2,56}, {3,40}, {4,16}, {1,10}, {4,53}, {1,56}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {5,38}, {3,9}, {4,29}, {1,32}, {3,13}, {3,45}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {5,56}, {4,31}, {1,19}, {2,27}, {4,62}, {3,58}, {5,47}, {5,20}, {3,37}, {2,26}, {2,62}, {2,9}, {3,52}, {2,41}, {3,57}, {6,7}, {2,14}, {3,61}, {5,32}, {4,23}, {2,54}, {2,42}, {6,22}, {3,18}, {3,7}, {2,45}, {3,63}, {4,38}, {6,21}, {3,34}, {3,46}, {6,31}, {6,40}, {1,38}, {4,10}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {6,58}, {1,55}, {5,50}, {4,8}, {5,11}, {1,44}, {4,41}, {5,29}, {2,38}, {2,39}, {1,31}, {3,12}, {1,61}, {2,53}, {2,35}, {1,22}, {6,12}, {2,59}, {4,47}, {6,30}, {6,55}, {6,43}, {6,63}, {5,23}, {6,60}, {1,59}, {6,49}, {3,51}, {2,20}, {2,57}, {4,59}, {6,18}, {2,48}, {4,52}, {1,29}, {3,39}, {4,35}, {2,32}, {6,33}, {5,18}, {1,23}, {6,24}, {5,30}, {6,46}, {5,24}, {1,58}, {5,48}, {5,14}, {4,55}, {1,28}, {4,13}, {6,61}, {3,27}, {4,7}, {4,28}, {4,43}, {3,10}, {1,43}, {4,46}, {5,42}, {1,52}, {6,15}, {2,17}, {5,41}, {6,51}, {5,12}, {5,54}, {3,19}, {6,27}, {1,49}, {5,44}, {5,59}, {3,21}, {5,36}, {1,25}, {6,19}, {1,46}, {4,58}, {6,9}, {6,54}, {5,51}, {1,53}, {6,28}, {2,11}, {1,35}, {1,37}, {5,39}, {3,16}, {4,37}, {5,60}, {6,42}, {4,40}, {2,21}, {6,36}, {3,30}, {5,33}, {3,24}, {2,29}, {6,45}, {1,26}, {4,34}, {1,16}, {4,14}, {3,48}, {5,8}, {1,62}, {2,47}, {6,25}, {1,47}, {4,49}, {6,34}, {3,55}, {6,10}, {5,27}, {5,26}, {3,42}, {5,9}, {6,52}, {4,25}, {4,11}, {1,8}, {4,20}, {3,28}, {1,41}, {5,45}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {5,15}, {6,39}, {6,37}, {4,61}, {2,30}, {5,21}, {6,13}, {2,18}, {5,35}, {1,34}, {2,60}, {4,17}, {2,63}, {5,62}, {3,36}, {4,44}, {4,32}, {5,57}, {6,57}, {5,53}, {2,50} }; // ETB63.175 // Bipartite(25,38) Valencies [38,25] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 8112713676937203537503228016325003945623418125345934540800000000000000 EdgesBipt[63][175]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {25,57}, {24,49}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {25,30}, {16,63}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {23,26}, {18,52}, {5,55}, {25,35}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {24,47}, {25,50}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {25,31}, {16,36}, {7,26}, {7,42}, {25,52}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {25,34}, {8,47}, {12,54}, {25,33}, {2,51}, {9,46}, {3,27}, {6,51}, {25,32}, {25,45}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {15,32}, {1,34}, {13,41}, {22,37}, {12,26}, {15,34}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {22,63}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {1,33}, {23,29}, {7,63}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {16,26}, {11,32}, {22,43}, {22,59}, {5,61}, {15,55}, {24,41}, {8,61}, 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{11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {25,63}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {21,63}, {19,45}, {7,57}, {5,53}, {1,40}, {15,44}, {25,56}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {22,60}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {25,59}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {13,62}, {9,27}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34} }; // ETB63.176 // Bipartite(24,39) Valencies [39,24] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 12655833336022037518505035705467006155172532275539657883648000000000000 EdgesBipt[63][176]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {24,49}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {16,63}, {6,26}, {4,30}, {16,42}, {15,61}, {23,26}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {21,57}, {5,58}, {24,40}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {24,47}, {8,55}, {2,53}, {10,30}, {24,44}, {9,28}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {24,58}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {15,32}, {1,34}, {13,41}, {15,34}, {12,26}, {22,37}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {22,63}, {6,42}, 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{3,25}, {1,37}, {12,40}, {9,63}, {11,60}, {21,47}, {8,52}, {1,28}, {7,46}, {8,45}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {24,34}, {13,29}, {9,48}, {21,58}, {24,42}, {21,38}, {15,37}, {7,44}, {2,41}, {16,62}, {10,61}, {5,60}, {6,56}, {3,62}, {23,63}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {23,56}, {20,37}, {17,59}, {12,44}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {6,63}, {11,37}, {21,61}, {4,26}, {14,55}, {2,30}, {17,63}, {24,60}, {1,29}, {2,63}, {6,30}, {9,35}, {8,28}, {5,42}, {22,62}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {24,48}, {14,62}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {10,26}, {22,55}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {24,28}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {5,37}, {24,36}, {11,59}, {21,39}, {21,46}, {24,54}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {7,25}, {15,36}, {17,34}, {19,58}, {5,48}, {9,45}, {7,47}, {19,40}, {8,37}, {8,48}, {12,25}, {14,49}, {20,36}, {6,31}, {12,61}, {6,45}, {22,49}, {23,30}, {19,55}, {9,50}, {17,31}, {2,45}, {23,52}, {2,31}, {13,28}, {18,51}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {11,42}, {13,54}, {23,57}, {2,34}, {9,60}, {22,40}, {11,63}, {20,42}, {13,37}, {21,53}, {7,61}, {23,50}, {6,34}, {15,56}, {23,35}, {18,28}, {23,25}, {23,32}, {15,59}, {2,32}, {6,33}, {12,49}, {15,63}, {18,38}, {22,47}, {1,42}, {4,29}, {21,51}, {23,33}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {18,62}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {22,44}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {22,58}, {1,56}, {20,63}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {24,37}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {2,50}, {24,27}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {21,29}, {5,38}, {9,40}, {10,36}, {24,63}, {1,54}, {16,30}, {12,34}, {1,63}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {24,59}, {4,53}, {7,30}, {7,58}, {24,56}, {10,51}, {17,50}, {12,58}, {13,56}, {24,43}, {13,59}, {3,47}, {22,41}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {7,55}, {12,55}, {4,51}, {8,38}, {21,62}, {17,45}, {22,61}, {13,63}, {15,27}, {8,59}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {24,46}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {23,60}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {24,38}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {24,39}, {13,46}, {20,62}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {5,63}, {1,27}, {19,34}, {8,63}, {8,26}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {4,54}, {7,60}, {3,33}, {21,28}, {12,52}, {17,40}, {14,57}, {20,51}, {1,53}, {12,50}, {12,45}, {5,46}, {24,26}, {14,34}, {23,49}, {11,27}, {6,49}, {2,49}, {21,54}, {10,37}, {15,51}, {18,59}, {22,30}, {4,48}, {1,62}, {23,40}, {1,51}, {9,25}, {19,31}, {3,30}, {22,52}, {15,38}, {11,46}, {22,35}, {17,55}, {20,43}, {24,51}, {9,61}, {7,52}, {22,57}, {16,41}, {7,50}, {22,50}, {17,44}, {9,49}, {3,35}, {15,53}, {13,39}, {14,31}, {11,43}, {17,27}, {24,25}, {3,57}, {6,47}, {15,62}, {23,47}, {23,44}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {18,54}, {6,44}, {22,31}, {18,56}, {14,32}, {22,33}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {3,29}, {8,39}, {6,58}, {22,32}, {19,30}, {1,43}, {15,43}, {7,41}, {24,53}, {21,41}, {22,45}, {18,63}, {19,29}, {21,37}, {19,57}, {23,58}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {11,62}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {22,29}, {9,26}, {13,51}, {17,47}, {22,34}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {21,63}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {22,60}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {24,62}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {24,55}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34} }; // ETB63.177 // Bipartite(3,60) Valencies [40,2] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 86402259735153297651285618187217337701105664000000000000 EdgesBipt[63][177]:={ {3,15}, {1,43}, {2,38}, {1,11}, {1,61}, {1,31}, {3,7}, {3,46}, {2,11}, {1,46}, {1,40}, {2,20}, {3,54}, {1,25}, {2,47}, {1,38}, {1,56}, {2,33}, {1,5}, {1,44}, {3,30}, {1,32}, {3,61}, {3,45}, {3,10}, {3,34}, {1,52}, {3,31}, {2,18}, {2,15}, {3,51}, {3,55}, {2,29}, {3,19}, {1,29}, {3,48}, {3,18}, {1,34}, {2,14}, {2,41}, {2,23}, {1,10}, {2,56}, {1,17}, {3,13}, {1,22}, {2,50}, {2,32}, {1,16}, {3,40}, {2,36}, {2,17}, {1,50}, {3,9}, {3,22}, {1,55}, {2,42}, {3,27}, {1,19}, {3,63}, {2,57}, {2,35}, {2,9}, {1,4}, {1,59}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,24}, {1,58}, {3,42}, {2,27}, {3,52}, {3,58}, {3,4}, {3,57}, {1,23}, {2,21}, {2,48}, {2,54}, {1,7}, {2,39}, {2,12}, {1,49}, {3,28}, {1,62}, {3,24}, {3,12}, {2,51}, {2,6}, {2,59}, {3,21}, {1,14}, {1,41}, {3,49}, {3,60}, {2,8}, {3,39}, {1,37}, {1,20}, {3,16}, {1,13}, {3,25}, {2,26}, {2,63}, {3,6}, {1,28}, {3,36}, {2,60}, {3,37}, {3,43}, {1,47}, {3,33}, {2,62}, {1,8}, {2,30}, {2,5}, {2,45} }; // ETB63.178 // Bipartite(18,45) Valencies [40,16] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 958659120196485120000000000 EdgesBipt[63][178]:={ {13,25}, {3,42}, {7,49}, {15,28}, {6,36}, {13,40}, {11,42}, {7,61}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {17,61}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {13,27}, {15,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {7,62}, {9,63}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {10,29}, {15,33}, {3,63}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,63}, {17,19}, {13,48}, {13,62}, {10,22}, {18,37}, {15,45}, {12,22}, {10,42}, {9,41}, {17,43}, {15,20}, {5,62}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {11,36}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {5,50}, {16,23}, {5,45}, {8,57}, {9,22}, {4,41}, {18,53}, {13,54}, {5,20}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {18,27}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {18,35}, {1,26}, {14,62}, {9,27}, {18,31}, {1,25}, {14,51}, {3,51}, {5,46}, {18,42}, {18,55}, {12,44}, {15,34}, {16,30}, {8,58}, {8,35}, {2,60}, {18,59}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {17,48}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {18,26}, {4,45}, {11,56}, {18,21}, {3,23}, {4,44}, {5,36}, {9,26}, {18,20}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {12,41}, {5,42}, {16,62}, {6,49}, {11,32}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {15,57}, {9,28}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {17,53}, {10,20}, {17,26}, {11,41}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {1,44}, {10,31}, {11,49}, {8,56}, {13,23}, {12,58}, {7,37}, {1,28}, {3,43}, {5,63}, {18,48}, {3,36}, {16,48}, {14,36}, {17,46}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {18,22}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {3,37}, {1,35}, {17,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {8,62}, {9,44}, {13,50}, {15,23}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {10,24}, {13,32}, {2,25}, {17,36}, {18,44}, {3,28}, {9,35}, {12,24}, {18,19}, {12,45}, {14,28}, {15,36}, {12,20}, {1,60}, {12,61}, {16,29}, {15,42}, {2,62}, {13,46}, {2,40}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {11,61}, {1,39}, {6,45}, {7,40}, {17,37}, {14,19}, {4,62}, {10,37}, {2,42}, {18,60}, {9,46}, {10,52}, {7,55}, {15,37}, {12,62}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {18,23}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {1,34}, {7,25}, {2,61}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {3,46}, {16,31}, {12,63}, {18,30}, {11,59}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {17,20}, {1,23}, {8,29}, {17,31}, {1,48}, {7,22}, {8,51}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {5,19}, {16,41}, {13,28}, {16,52}, {16,25}, {17,44}, {2,33}, {6,32}, {17,35}, {15,31}, {10,35}, {9,47}, {4,27}, {18,36}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {15,48}, {4,55}, {8,54}, {3,34}, {18,39}, {9,48}, {3,38}, {2,43}, {13,21}, {4,63}, {14,34}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {7,38}, {14,30}, {15,38}, {17,24}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {4,51}, {4,25}, {10,38}, {10,60}, {18,33}, {17,38}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {14,52}, {6,25}, {13,39}, {11,43}, {3,52}, {2,53}, {17,34}, {1,62}, {13,55}, {12,26}, {18,46}, {8,63}, {18,56}, {10,30}, {16,56}, {17,58}, {17,39}, {6,42}, {11,20}, {7,32}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {17,52}, {9,56}, {4,31}, {11,54}, {3,41}, {15,39}, {10,33}, {17,49}, {10,39}, {13,34}, {14,56}, {3,56}, {18,24}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {2,29}, {14,21}, {14,44}, {12,60}, {18,40}, {17,57}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {18,45}, {7,56}, {10,41}, {13,58}, {12,34}, {15,41}, {8,19}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {18,63}, {14,55}, {4,23}, {16,63}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {18,47}, {6,27}, {12,40}, {14,63}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {18,57}, {6,30}, {7,58}, {11,25}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {16,32}, {9,32}, {16,53}, {18,62}, {3,58}, {18,32}, {17,55}, {16,45}, {7,50}, {12,43}, {5,39}, {1,21}, {6,21}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {18,41}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {17,30}, {5,24}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,62}, {17,47}, {13,63}, {4,19}, {6,59}, {12,55}, {11,60}, {8,53}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.179 // Bipartite(21,42) Valencies [40,20] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 107145471557284795514880000 EdgesBipt[63][179]:={ {15,47}, {8,58}, {7,36}, {2,61}, {16,56}, {9,22}, {1,47}, {21,30}, {18,24}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {16,63}, {13,49}, {21,25}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {21,35}, {18,45}, {18,50}, {14,54}, {5,44}, {5,58}, {21,57}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {2,39}, {15,25}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {7,56}, {13,44}, {21,31}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {14,22}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {11,30}, {6,42}, {11,55}, {12,42}, {14,43}, {20,34}, {4,25}, {1,33}, {7,63}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {17,23}, {10,45}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {19,22}, {16,54}, {16,26}, {3,22}, {5,24}, {11,32}, {5,61}, {15,55}, {14,63}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {16,22}, {10,49}, {19,59}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {17,62}, {19,56}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {19,63}, {14,46}, {11,34}, {8,32}, {7,39}, {11,50}, {19,26}, {8,33}, {5,31}, {2,48}, {2,62}, {16,53}, {6,48}, {20,35}, {17,48}, {9,23}, {9,29}, {13,35}, {14,26}, {3,59}, {7,27}, {10,40}, {13,30}, {20,60}, {17,42}, {18,47}, {3,63}, {8,41}, {5,32}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {7,22}, {12,22}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,62}, {12,62}, {7,51}, {20,41}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {8,30}, {13,31}, {10,44}, {21,44}, {2,28}, {15,28}, {6,28}, {11,41}, {9,56}, {21,22}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {21,43}, {7,43}, {12,43}, {8,23}, {5,45}, {5,36}, {12,46}, {4,27}, {9,42}, {13,50}, {3,25}, {1,37}, {13,23}, {12,40}, {9,63}, {11,60}, {21,47}, {8,52}, {1,28}, {8,45}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {4,22}, {21,58}, {10,22}, {17,24}, {21,38}, {15,37}, {7,44}, {2,41}, {16,62}, {10,61}, {5,60}, {6,56}, {3,62}, {8,36}, {9,34}, {10,38}, {5,50}, {11,28}, {8,50}, {13,36}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {20,37}, {17,59}, {5,23}, {12,44}, {11,23}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {6,63}, {11,37}, {21,61}, {4,26}, {14,55}, {2,30}, {17,63}, {1,29}, {2,63}, {6,30}, {9,35}, {8,28}, {5,42}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {14,62}, {12,47}, {20,57}, {5,28}, {17,33}, {16,40}, {6,35}, {15,29}, {17,32}, {13,60}, {8,42}, {6,57}, {10,46}, {15,57}, {2,57}, {16,25}, {5,37}, {11,59}, {9,24}, {21,39}, {21,46}, {11,56}, {5,54}, {1,36}, {9,52}, {4,46}, {20,23}, {15,36}, {17,34}, {5,48}, {9,45}, {7,47}, {19,40}, {18,22}, {8,37}, {8,48}, {12,25}, {14,49}, {20,36}, {6,31}, {12,61}, {6,45}, {19,55}, {15,23}, {9,50}, {17,31}, {2,45}, {2,31}, {13,28}, {20,26}, {3,55}, {3,58}, {11,29}, {19,44}, {3,40}, {18,53}, {3,44}, {13,54}, {2,34}, {9,60}, {20,42}, {13,37}, {21,53}, {7,61}, {6,34}, {15,56}, {18,28}, {21,23}, {15,59}, {2,32}, {6,33}, {12,49}, {15,63}, {18,38}, {1,42}, {4,29}, {21,51}, {10,39}, {11,48}, {15,54}, {6,25}, {7,31}, {12,33}, {2,25}, {18,62}, {17,35}, {6,32}, {2,33}, {14,58}, {12,32}, {1,26}, {14,44}, {15,26}, {20,54}, {7,49}, {1,56}, {20,63}, {11,36}, {5,27}, {8,27}, {6,52}, {1,59}, {15,42}, {15,48}, {17,30}, {16,61}, {17,57}, {16,49}, {18,46}, {18,43}, {2,52}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,22}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {10,23}, {14,24}, {21,29}, {8,22}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {1,63}, {7,33}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {4,23}, {5,22}, {3,47}, {7,35}, {17,25}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {21,62}, {17,45}, {13,63}, {15,27}, {8,59}, {11,22}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {21,36}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, {19,32}, {19,33}, {3,34}, {3,31}, {6,55}, {2,55}, {13,46}, {20,62}, {5,59}, {13,26}, {1,39}, {4,37}, {8,43}, {14,30}, {21,48}, {4,28}, {17,58}, {5,63}, {1,27}, {19,34}, {8,63}, {8,26}, {20,53}, {11,53}, {14,61}, {3,32}, {10,42}, {10,48}, {1,38}, {18,36}, {18,23}, {4,54}, {7,60}, {12,24}, {3,33}, {21,28}, {17,40}, {20,51}, {1,53}, {12,50}, {15,22}, {12,45}, {5,46}, {1,22}, {14,34}, {7,24}, {11,27}, {6,49}, {2,49}, {10,37}, {15,51}, {18,59}, {4,48}, {1,62}, {1,51}, {9,25}, {19,31}, {3,30}, {15,38}, {11,46}, {17,55}, {9,61}, {7,52}, {16,41}, {7,50}, {17,44}, {9,49}, {3,35}, {13,39}, {14,31}, {11,43}, {17,27}, {3,57}, {6,47}, {15,62}, {12,60}, {12,28}, {2,47}, {14,45}, {13,53}, {19,35}, {21,24}, {18,54}, {6,44}, {6,22}, {18,56}, {14,32}, {2,44}, {5,39}, {13,25}, {14,33}, {2,58}, {2,22}, {6,58}, {8,39}, {19,30}, {1,43}, {15,43}, {7,41}, {21,41}, {18,63}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {11,62}, {20,40}, {18,32}, {7,28}, {16,60}, {14,23}, {20,44}, {19,36}, {18,33}, {9,26}, {13,51}, {17,47}, {10,24}, {9,58}, {16,28}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {5,62}, {14,52}, {11,47}, {4,24}, {12,37}, {17,22}, {16,57}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {21,63}, {19,45}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {19,54}, {13,55}, {6,46}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23} }; // ETB63.180 // Bipartite(23,40) Valencies [40,23] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 21093055560036729197508392842445010258620887125899429806080000000000000 EdgesBipt[63][180]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {18,24}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {21,25}, {13,49}, {16,63}, {6,26}, {4,30}, {16,42}, {15,61}, {23,26}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {23,51}, {16,48}, {14,54}, {5,44}, {5,58}, {21,57}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {23,53}, {7,56}, {21,31}, {13,44}, {17,39}, {1,31}, {13,58}, {6,53}, {1,49}, {21,52}, {21,32}, {17,29}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {21,33}, {22,27}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {22,37}, {18,41}, {11,49}, {20,55}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {22,63}, {6,42}, {11,55}, {12,42}, {14,43}, {4,60}, {20,34}, {4,25}, {1,33}, {23,29}, {7,63}, {2,42}, {1,32}, {9,37}, {20,31}, {6,29}, {20,49}, {7,54}, {1,30}, {10,50}, {23,42}, {14,27}, {11,35}, {10,52}, {2,29}, {16,39}, {15,31}, {10,45}, {22,56}, {10,25}, {20,33}, {1,58}, {7,48}, {14,56}, {20,32}, {18,40}, {11,33}, {14,59}, {18,44}, {5,47}, {16,54}, {16,26}, {5,24}, {11,32}, {22,43}, {22,59}, {5,61}, {15,55}, {8,61}, {17,28}, {14,63}, {1,55}, {11,24}, {1,35}, {4,52}, {4,50}, {19,38}, {21,55}, {17,54}, {21,60}, {11,52}, {17,51}, {11,45}, {3,26}, {11,31}, {19,59}, {10,49}, {12,39}, {17,53}, {6,36}, {20,30}, {2,36}, {11,58}, {17,62}, {19,56}, {22,38}, {22,46}, {15,35}, {3,56}, {10,60}, {14,38}, {4,49}, {5,41}, {20,58}, {12,27}, {16,51}, {23,62}, {15,30}, {3,43}, {19,43}, {18,57}, {1,45}, {19,63}, {14,46}, {11,34}, {8,32}, {7,39}, {22,39}, {11,50}, {19,26}, {6,62}, {8,33}, {5,31}, {2,48}, {2,62}, {16,53}, {6,48}, {20,35}, {17,48}, {5,34}, {9,29}, {13,35}, {14,26}, {23,28}, {3,59}, {7,27}, {10,40}, {23,48}, {13,30}, {20,60}, {17,42}, {18,47}, {16,27}, {23,36}, {3,63}, {8,41}, {5,32}, {23,54}, {20,50}, {5,33}, {13,61}, {8,31}, {19,46}, {17,37}, {20,24}, {1,60}, {22,26}, {20,45}, {3,46}, {10,58}, {7,38}, {4,58}, {13,34}, {20,52}, {12,51}, {23,24}, {15,45}, {7,53}, {13,57}, {9,36}, {18,49}, {4,44}, {8,34}, {15,50}, {15,24}, {1,24}, {7,62}, {12,62}, {7,51}, {20,41}, {22,51}, {12,38}, {15,52}, {1,52}, {14,39}, {5,30}, {5,35}, {18,25}, {4,40}, {10,55}, {18,61}, {4,55}, {2,37}, {6,37}, {16,46}, {1,50}, {5,57}, {21,40}, {16,43}, {13,45}, {8,30}, {9,59}, {13,31}, {10,44}, {21,44}, {2,28}, {22,25}, {15,28}, {6,28}, {11,41}, {9,56}, {14,25}, {12,53}, {20,28}, {13,32}, {13,33}, {8,57}, {10,27}, {6,54}, {2,54}, {21,49}, {14,53}, {15,60}, {19,39}, {1,41}, {3,39}, {5,29}, {8,35}, {15,41}, {22,53}, {6,24}, {9,32}, {2,24}, {9,33}, {18,26}, {8,29}, {9,54}, {18,58}, {10,47}, {21,43}, {7,43}, {12,43}, {5,45}, {5,36}, {12,46}, {4,27}, {23,37}, {9,42}, {13,50}, {3,25}, {1,37}, {12,40}, {9,63}, {11,60}, {21,47}, {8,52}, {1,28}, {7,46}, {8,45}, {13,42}, {16,38}, {9,31}, {21,27}, {14,51}, {4,38}, {13,52}, {4,47}, {11,57}, {13,29}, {9,48}, {21,58}, {17,24}, {21,38}, {15,37}, {7,44}, {2,41}, {16,62}, {10,61}, {5,60}, {6,56}, {3,62}, {23,63}, {8,36}, {23,41}, {9,34}, {10,38}, {6,41}, {5,50}, {11,28}, {2,56}, {8,50}, {13,36}, {23,59}, {19,51}, {3,53}, {2,59}, {19,25}, {6,59}, {23,56}, {20,37}, {17,59}, {12,44}, {19,62}, {3,51}, {1,57}, {9,30}, {18,55}, {19,53}, {4,61}, {8,60}, {19,49}, {7,40}, {17,56}, {20,29}, {16,47}, {5,52}, {13,48}, {18,27}, {6,63}, {11,37}, {21,61}, {4,26}, {14,55}, {2,30}, {17,63}, {1,29}, {2,63}, {6,30}, {9,35}, {8,28}, {5,42}, {22,62}, {18,39}, {10,43}, {16,44}, {21,26}, {8,54}, {17,41}, {3,49}, {4,43}, {14,62}, {12,47}, {20,57}, {5,28}, {2,35}, {17,33}, {10,26}, 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{16,61}, {17,57}, {16,49}, {18,46}, {4,39}, {23,31}, {18,43}, {2,52}, {23,45}, {16,35}, {20,56}, {14,47}, {2,50}, {18,37}, {4,36}, {10,29}, {21,42}, {14,41}, {13,43}, {14,40}, {6,50}, {9,41}, {16,55}, {19,47}, {7,34}, {23,34}, {14,24}, {21,29}, {5,38}, {9,40}, {10,36}, {1,54}, {16,30}, {12,34}, {1,63}, {7,33}, {12,31}, {7,32}, {13,27}, {20,59}, {11,39}, {19,24}, {4,53}, {7,30}, {7,58}, {10,51}, {17,50}, {12,58}, {13,56}, {13,59}, {3,47}, {22,41}, {7,35}, {17,25}, {17,49}, {16,58}, {9,44}, {17,52}, {19,61}, {1,48}, {11,54}, {3,61}, {4,62}, {10,62}, {3,24}, {7,55}, {12,55}, {4,51}, {8,38}, {21,62}, {17,45}, {22,61}, {13,63}, {15,27}, {8,59}, {20,48}, {20,39}, {11,26}, {5,56}, {8,56}, {5,26}, {16,32}, {16,33}, {13,38}, {16,31}, {11,51}, {20,27}, {16,24}, {10,53}, {9,57}, {10,28}, {16,34}, {12,30}, {2,60}, {20,38}, {3,41}, {15,39}, {23,60}, {17,60}, {6,60}, {4,42}, {18,29}, {16,45}, {10,54}, {21,36}, {23,55}, {5,43}, {9,47}, {16,50}, {19,41}, {16,52}, {12,35}, {14,35}, {7,45}, {8,46}, 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{21,37}, {19,57}, {23,58}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {11,62}, {20,40}, {18,32}, {7,28}, {16,60}, {20,44}, {19,36}, {18,33}, {23,27}, {9,26}, {22,29}, {13,51}, {17,47}, {22,34}, {10,24}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {5,62}, {23,43}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {21,63}, {19,45}, {7,57}, {5,53}, {8,25}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {23,46}, {3,52}, {6,38}, {11,40}, {22,60}, {2,38}, {10,59}, {2,46}, {23,61}, {23,38}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {23,39}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34} }; // ETB63.181 // Bipartite(22,41) Valencies [41,22] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 37600664259195908569471482893054148721889407485298983567360000000000000 EdgesBipt[63][181]:={ {15,47}, {8,40}, {8,58}, {7,36}, {22,36}, {2,61}, {16,56}, {1,47}, {21,30}, {18,24}, {22,54}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {16,63}, {13,49}, {21,25}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {5,58}, {21,57}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, {9,62}, {20,47}, {19,27}, {15,49}, {21,50}, {18,60}, {1,61}, {21,34}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {21,45}, {12,59}, {7,56}, {13,44}, {21,31}, {17,39}, {1,31}, {13,58}, 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{22,45}, {18,63}, {19,29}, {21,37}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {3,45}, {11,62}, {20,40}, {18,32}, {7,28}, {16,60}, {14,23}, {20,44}, {19,36}, {18,33}, {9,26}, {22,29}, {13,51}, {17,47}, {22,34}, {10,24}, {9,58}, {16,28}, {22,42}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {5,62}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {21,63}, {19,45}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {21,56}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {22,60}, {2,38}, {10,59}, {2,46}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {21,59}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {22,48}, {3,42}, {14,60}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {10,63}, {5,49}, {19,42}, {16,59}, {10,41}, {12,29}, {22,28}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23} }; // ETB63.182 // Bipartite(14,49) Valencies [42,12] // Diameter 3 Girth 4 // Twin-free Non-VT Non-AT // Automorphism group of order 50803200 EdgesBipt[63][182]:={ {13,25}, {3,42}, {7,49}, {1,63}, {6,36}, {13,40}, {11,42}, {7,61}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,52}, {11,34}, {3,55}, {12,25}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {13,22}, {6,28}, {5,43}, {13,61}, {5,61}, {14,16}, {12,32}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,63}, {10,42}, {12,22}, {14,40}, {9,41}, {14,33}, {11,35}, {3,27}, {3,32}, {11,31}, {11,37}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {3,22}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {4,59}, {7,59}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {2,59}, {6,35}, {5,50}, {3,48}, {8,57}, {9,22}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {1,20}, {12,38}, {11,44}, {13,33}, {10,23}, {14,62}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {7,23}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {3,23}, {4,44}, {5,36}, {9,26}, {7,31}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {12,50}, {2,22}, {4,33}, {2,55}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {5,63}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {11,45}, {8,33}, {10,28}, {9,44}, {13,50}, {12,17}, {14,59}, {9,42}, {13,35}, {10,24}, {13,32}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {2,62}, {13,46}, {2,40}, {11,51}, {6,53}, {5,60}, {9,59}, {3,19}, {4,40}, {11,61}, {1,39}, {6,45}, {7,40}, {4,62}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {12,62}, {7,35}, {14,41}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {12,15}, {5,48}, {8,22}, {8,45}, {7,46}, {14,31}, {14,20}, {5,59}, {11,62}, {11,33}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {6,46}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {5,40}, {3,46}, {12,63}, {8,17}, {11,59}, {4,22}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {8,51}, {14,57}, {6,22}, {3,60}, {11,63}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {3,24}, {6,55}, {7,27}, {12,59}, {2,27}, {1,19}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {4,63}, {14,34}, {13,44}, {9,62}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {6,62}, {1,62}, {13,55}, {4,16}, {12,26}, {8,63}, {1,45}, {10,30}, {6,18}, {9,61}, {11,20}, {6,42}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {9,56}, {2,15}, {11,54}, {3,41}, {10,33}, {10,39}, {13,34}, {14,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {6,61}, {2,46}, {7,56}, {10,41}, {11,15}, {6,26}, {13,58}, {11,55}, {8,19}, {4,20}, {4,50}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {6,27}, {12,40}, {14,63}, {7,45}, {8,46}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {2,17}, {11,40}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {2,54}, {3,40}, {12,36}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {12,37}, {10,58}, {1,16}, {2,19}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {10,32}, {8,50}, {13,63}, {4,19}, {6,59}, {12,55}, {11,60}, {8,53}, {13,16}, {10,15}, {6,41}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.183 // Bipartite(14,49) Valencies [42,12] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 53291048028118241299660800000000 EdgesBipt[63][183]:={ {3,42}, {7,49}, {6,36}, {13,40}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {2,20}, {2,26}, {4,60}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {5,52}, {8,37}, {8,31}, {12,42}, {7,24}, {3,47}, {9,58}, {6,48}, {11,34}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {3,63}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {8,24}, {2,38}, {2,52}, {6,34}, {11,39}, {2,21}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {12,22}, {10,42}, {9,41}, {11,35}, {3,27}, {3,32}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {13,15}, {11,47}, {10,25}, {12,35}, {11,36}, {13,17}, {14,22}, {11,21}, {1,55}, {3,22}, {5,53}, {6,19}, {5,23}, {7,59}, {2,37}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {4,41}, {13,54}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {12,38}, {11,44}, {13,33}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {5,46}, {12,44}, {8,58}, {2,60}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {10,50}, {2,44}, {2,45}, {10,48}, {9,20}, {14,23}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {11,18}, {10,43}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {8,61}, {12,50}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {14,18}, {3,43}, {5,63}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {11,50}, {6,43}, {12,47}, {7,29}, {11,53}, {2,51}, {12,49}, {6,37}, {12,28}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {7,43}, {8,33}, {10,28}, {8,62}, {9,44}, {13,50}, {12,17}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {1,60}, {12,61}, {8,41}, {2,62}, {2,40}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {4,62}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {9,60}, {8,25}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {4,61}, {12,15}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {13,59}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {12,63}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {6,22}, {3,60}, {11,63}, {5,19}, {13,28}, {3,57}, {2,33}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {13,21}, {4,63}, {14,34}, {13,44}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,32}, {7,38}, {14,30}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {8,15}, {6,54}, {1,46}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {11,43}, {3,52}, {2,53}, {6,62}, {1,62}, {13,55}, {4,16}, {12,26}, {1,45}, {9,61}, {11,20}, {6,42}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {11,54}, {3,41}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {8,23}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {11,15}, {6,26}, {13,58}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {12,16}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {10,40}, {6,27}, {12,40}, {14,63}, {7,45}, {8,46}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {9,16}, {9,32}, {14,58}, {7,50}, {5,39}, {12,43}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {1,16}, {2,19}, {5,24}, {6,15}, {1,15}, {12,31}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {2,35}, {10,32}, {8,50}, {13,63}, {4,19}, {6,59}, {11,60}, {8,53}, {13,16}, {10,15}, {10,49}, {6,41}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.184 // Bipartite(21,42) Valencies [42,21] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 71783086313010370905354649159467011196334323381025332264960000000000000 EdgesBipt[63][184]:={ {15,47}, {8,40}, {8,58}, {7,36}, {2,61}, {16,56}, {9,22}, {1,47}, {21,30}, {18,24}, {19,37}, {4,63}, {9,51}, {20,61}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {16,63}, {13,49}, {21,25}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {5,55}, {21,35}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {5,58}, {21,57}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {9,53}, 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{15,40}, {14,42}, {3,60}, {1,44}, {5,62}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {17,22}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {8,21}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {20,46}, {9,55}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {20,21}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {17,26}, {12,57}, {9,39}, {4,59}, {19,60}, {17,43}, {20,25}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {10,63}, {5,49}, {11,21}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23}, {1,21} }; // ETB63.186 // Bipartite(19,44) Valencies [44,19] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 323365712629084813697454752880265679008248904373571258679296000000000000 EdgesBipt[63][186]:={ {15,47}, {8,40}, {8,58}, {7,36}, {2,61}, {16,56}, {9,22}, {1,47}, {18,24}, {19,37}, {4,63}, {9,51}, {10,34}, {3,48}, {12,36}, {1,25}, {4,33}, {14,28}, {4,32}, {10,31}, {16,29}, {2,26}, {16,63}, {13,49}, {6,26}, {4,30}, {16,42}, {15,61}, {7,23}, {18,52}, {5,55}, {18,45}, {18,50}, {16,48}, {14,54}, {5,44}, {15,21}, {5,58}, {5,40}, {4,35}, {6,39}, {8,44}, {14,37}, {4,57}, {9,38}, {2,39}, {15,25}, {12,56}, {1,20}, {9,53}, {9,62}, {19,27}, {15,49}, {18,60}, {1,61}, {8,55}, {2,53}, {10,30}, {9,28}, {2,23}, {16,36}, {7,26}, {7,42}, {12,59}, {7,56}, {13,44}, {17,39}, {1,31}, {13,58}, {6,23}, {6,53}, {1,49}, {17,29}, {15,20}, {8,47}, {12,54}, {2,51}, {9,46}, {3,27}, {6,51}, {10,57}, {7,59}, {11,61}, {4,45}, {15,33}, {13,47}, {17,36}, {10,35}, {12,63}, {13,40}, {14,22}, {15,32}, {8,24}, {1,34}, {13,41}, {15,34}, {12,26}, {18,41}, {11,49}, {12,48}, {9,43}, {3,38}, {15,58}, {13,24}, {11,30}, {6,42}, {11,55}, {4,21}, {12,42}, {14,43}, {4,60}, {4,25}, {1,33}, {7,63}, {2,42}, {1,32}, {9,37}, {6,29}, {7,54}, {1,30}, {10,50}, 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{14,33}, {2,58}, {2,22}, {3,29}, {8,39}, {6,58}, {19,30}, {1,43}, {15,43}, {7,41}, {18,63}, {19,29}, {19,57}, {18,42}, {7,37}, {14,50}, {3,36}, {2,40}, {11,38}, {12,41}, {6,40}, {18,48}, {5,25}, {5,21}, {3,45}, {11,62}, {18,32}, {7,28}, {16,60}, {14,23}, {19,36}, {18,33}, {9,26}, {18,20}, {13,51}, {17,47}, {10,24}, {9,58}, {16,28}, {1,46}, {8,51}, {14,29}, {18,34}, {15,46}, {19,23}, {18,31}, {15,40}, {14,42}, {3,60}, {1,44}, {5,62}, {14,52}, {11,47}, {4,24}, {3,50}, {12,37}, {17,22}, {16,57}, {14,36}, {2,43}, {19,50}, {19,52}, {17,61}, {6,43}, {19,45}, {8,21}, {7,57}, {5,53}, {8,25}, {3,23}, {1,40}, {15,44}, {8,49}, {5,51}, {10,56}, {17,38}, {6,27}, {16,37}, {8,53}, {19,28}, {18,35}, {2,27}, {14,48}, {8,62}, {9,55}, {4,20}, {3,52}, {6,38}, {11,40}, {2,38}, {10,59}, {2,46}, {7,29}, {19,54}, {13,55}, {6,46}, {18,30}, {10,32}, {4,31}, {16,23}, {4,56}, {10,33}, {10,20}, {12,57}, {17,26}, {9,39}, {4,59}, {19,60}, {17,43}, {4,41}, {3,42}, {14,60}, {3,28}, {19,48}, {13,62}, {9,27}, {11,25}, {11,44}, {10,63}, {5,49}, {11,21}, {19,42}, {16,59}, {10,41}, {12,29}, {3,54}, {17,46}, {6,61}, {3,37}, {4,34}, {12,23}, {1,21} }; // ETB63.187 // Bipartite(18,45) Valencies [45,18] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 765866161489937716651866519979576608177431615621616138977280000000000000 EdgesBipt[63][187]:={ {13,25}, {3,42}, {7,49}, {1,63}, {15,28}, {6,36}, {13,40}, {11,42}, {7,61}, {14,48}, {4,46}, {3,29}, {16,28}, {4,26}, {17,61}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {4,24}, {18,58}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {18,51}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {18,38}, {7,62}, {9,63}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {8,20}, {13,43}, {17,29}, {18,49}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {3,63}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {17,22}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {18,28}, {4,34}, {13,51}, {17,63}, {17,19}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {18,37}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {17,43}, {15,20}, {5,62}, {17,45}, {14,33}, {17,25}, {11,35}, {3,27}, {3,32}, {11,31}, {8,59}, {11,37}, {8,38}, {18,29}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {17,42}, {11,47}, {18,50}, {10,25}, {12,35}, {12,48}, {11,36}, {14,22}, {11,21}, {1,55}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {16,20}, {18,54}, {4,59}, {7,59}, {2,37}, {17,51}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {17,32}, {5,50}, {16,23}, {5,45}, 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{16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,62}, {16,24}, {8,50}, {17,47}, {13,63}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.188 // Bipartite(17,46) Valencies [46,17] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1957213523807618609221436662170029109786769684366352355164160000000000000 EdgesBipt[63][188]:={ {13,25}, {3,42}, {7,49}, {1,63}, {15,28}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {16,28}, {4,26}, {17,61}, {14,29}, {7,47}, {2,20}, {2,26}, {17,56}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {17,54}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {15,54}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {15,50}, {4,28}, 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{7,21}, {16,44}, {2,50}, {4,48}, {17,41}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {16,63}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {14,63}, {17,40}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {17,27}, {6,38}, {8,48}, {11,40}, {13,42}, {9,57}, {17,60}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {16,32}, {9,32}, {16,53}, {3,58}, {17,55}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {1,24}, {17,21}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {17,30}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {17,33}, {10,32}, {17,62}, {16,24}, {8,50}, {17,47}, {13,63}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.189 // Bipartite(16,47) Valencies [47,16] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 5411119742291651449023971948352433421175186774424621217218560000000000000 EdgesBipt[63][189]:={ {13,25}, {3,42}, {7,49}, {1,63}, {15,28}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {16,28}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {16,17}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {7,17}, {3,63}, {13,22}, {6,28}, {12,52}, {16,54}, {5,43}, {13,61}, {5,61}, {16,57}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {16,33}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {5,62}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {16,61}, {5,47}, {5,55}, {16,51}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {15,59}, {16,26}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {16,20}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {16,23}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {12,44}, {15,34}, {16,42}, {16,30}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {16,43}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {16,34}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {16,62}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {16,35}, {5,28}, {5,51}, {16,55}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {16,60}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {5,63}, {1,17}, {3,36}, {16,48}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {8,62}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {16,37}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {16,29}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {16,46}, {9,59}, {15,30}, {3,19}, {4,40}, {12,54}, {16,36}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {4,62}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {12,62}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {16,22}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {10,53}, {5,30}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {16,27}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {16,31}, {12,63}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {5,19}, {16,41}, {13,28}, {16,52}, {3,57}, {16,25}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {4,63}, {14,34}, {13,44}, {9,62}, {11,23}, {16,40}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {6,62}, {1,62}, {13,55}, {12,26}, {8,63}, {1,45}, {10,30}, {16,56}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {16,39}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {10,41}, {7,56}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {16,44}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {16,58}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {16,63}, {15,52}, {16,50}, {9,36}, {10,40}, {16,21}, {6,27}, {12,40}, {14,63}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {16,18}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {16,32}, {9,32}, {16,53}, {3,58}, {14,58}, {16,45}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {16,19}, {16,59}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {16,38}, {5,57}, {4,53}, {16,49}, {12,37}, {10,58}, {13,60}, {2,19}, {5,24}, {7,33}, {12,31}, {16,47}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {10,47}, {7,19}, {2,35}, {10,32}, {16,24}, {8,50}, {13,63}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.190 // Bipartite(7,56) Valencies [48,6] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 873120530892689265453642547200000000 EdgesBipt[63][190]:={ {6,52}, {7,48}, {6,38}, {6,59}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {5,59}, {5,45}, {2,62}, {2,60}, {3,26}, {5,11}, {1,40}, {3,61}, {2,35}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,20}, {2,18}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {7,30}, {6,9}, {2,61}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {6,49}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {5,37}, {1,36}, {1,29}, {2,56}, {7,56}, {6,44}, {4,23}, {5,50}, {4,49}, {6,24}, {1,38}, {1,26}, {3,17}, {7,15}, {1,61}, {6,34}, {1,43}, {4,62}, {4,22}, {5,54}, {6,51}, {1,18}, {4,61}, {3,38}, {7,14}, {3,43}, {6,17}, {5,28}, {6,10}, {2,39}, {4,18}, {3,47}, {7,32}, {7,60}, {1,31}, {3,31}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,63}, {3,36}, {6,12}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,55}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {5,14}, {7,46}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {1,51}, {1,59}, {4,11}, {4,47}, {5,61}, {3,25}, {6,8}, {7,35}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,8}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {5,40}, {4,50}, {7,23}, {6,22}, {4,34}, {1,57}, {6,31}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,63}, {7,52}, {6,37}, {6,43}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {2,26}, {3,53}, {5,63}, {1,60}, {1,62}, {7,29}, {2,28}, {7,21}, {2,45}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {4,46}, {3,56}, {2,31}, {1,33}, {5,58}, {3,54}, {6,63}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {1,8}, {4,12}, {3,57}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {6,26}, {1,34}, {5,21}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {3,27}, {7,20}, {5,42}, {7,38}, {7,63}, {2,38}, {2,59}, {7,9}, {2,63}, {5,10}, {6,55}, {7,44}, {7,43}, {6,62}, {4,20}, {1,27}, {5,44}, {5,25}, {1,46}, {4,19}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {7,62}, {3,46}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB63.191 // Bipartite(9,54) Valencies [48,8] // Diameter 3 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 18869287462827416616960000000000 EdgesBipt[63][191]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {9,32}, {5,38}, {9,17}, {5,56}, {4,28}, {5,43}, {3,58}, {5,59}, {9,10}, {8,51}, {5,45}, {2,62}, {2,60}, {3,26}, {8,63}, {8,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {2,61}, {4,37}, {4,40}, {8,31}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {3,49}, {1,12}, {6,29}, {9,11}, {1,20}, {3,18}, {2,34}, {8,16}, {9,18}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {9,33}, {8,12}, {1,17}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {9,57}, {7,11}, {5,41}, {6,60}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {9,56}, {9,35}, {6,18}, {1,29}, {2,56}, {6,46}, {7,56}, {4,23}, {8,38}, {9,62}, {5,50}, {4,49}, {9,47}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {8,22}, {1,61}, {6,34}, {9,36}, {1,43}, {9,29}, {9,39}, {4,62}, {8,42}, {9,20}, {4,22}, {5,54}, {7,54}, {6,51}, {3,38}, {4,61}, {8,19}, {5,27}, {7,14}, {3,43}, {5,28}, {6,10}, {2,39}, {4,18}, {8,18}, {9,46}, {9,59}, {3,47}, {1,42}, {7,32}, {1,31}, {3,31}, {3,51}, {3,13}, {9,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {9,58}, {3,63}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,55}, {9,51}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {8,60}, {9,55}, {7,12}, {8,24}, {8,47}, {4,41}, {9,38}, {4,10}, {9,26}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,51}, {1,59}, {9,54}, {9,22}, {3,44}, {9,19}, {5,61}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {6,30}, {2,12}, {4,33}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {9,31}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {9,30}, {8,53}, {9,12}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {4,50}, {7,23}, {6,22}, {4,34}, {1,57}, {6,31}, {7,61}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {9,41}, {6,23}, {3,41}, {7,39}, {4,36}, {1,32}, {9,44}, {4,63}, {4,59}, {7,52}, {6,37}, {6,43}, {6,57}, {9,24}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {5,63}, {1,60}, {9,21}, {1,62}, {7,29}, {8,29}, {7,21}, {9,23}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {6,47}, {3,33}, {2,11}, {3,50}, {9,28}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {8,58}, {6,63}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {8,33}, {5,47}, {2,57}, {4,12}, {6,54}, {7,10}, {1,53}, {3,15}, {5,51}, {7,25}, {9,50}, {7,22}, {1,14}, {1,34}, {5,21}, {2,50}, {6,41}, {9,15}, {9,60}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {8,61}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {9,45}, {4,26}, {9,63}, {1,28}, {3,27}, {7,20}, {9,27}, {5,42}, {7,38}, {7,63}, {2,38}, {2,59}, {2,63}, {8,62}, {5,10}, {5,62}, {6,55}, {7,44}, {8,28}, {9,49}, {7,43}, {9,40}, {8,20}, {5,44}, {5,25}, {9,53}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {7,13}, {9,14}, {9,42}, {5,36}, {4,39}, {7,36}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {7,62}, {3,46}, {9,48}, {5,48}, {5,33}, {2,58}, {5,30}, {4,54}, {9,37}, {6,40} }; // ETB63.192 // Bipartite(15,48) Valencies [48,15] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 16233359226874954347071915845057300263525560323273863651655680000000000000 EdgesBipt[63][192]:={ {13,25}, {3,42}, {7,49}, {1,63}, {15,28}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {15,17}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {15,63}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {15,16}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {15,54}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {15,50}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {13,43}, {5,18}, {9,49}, {8,26}, {15,62}, {10,29}, {15,33}, {7,17}, {3,63}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {14,16}, {12,32}, {2,30}, {14,25}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {15,45}, {10,42}, {12,22}, {14,40}, {9,41}, {15,20}, {5,62}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {15,59}, {10,51}, {3,22}, {15,51}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {15,43}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {15,24}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {15,34}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {15,55}, {10,19}, {12,19}, {14,35}, {15,27}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {15,57}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {15,40}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {5,63}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {8,62}, {9,44}, {13,50}, {15,23}, {12,17}, {15,60}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {15,36}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {15,42}, {2,62}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {15,30}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {4,62}, {10,37}, {6,44}, {2,42}, {9,46}, {10,52}, {7,55}, {15,37}, {12,62}, {7,35}, {4,42}, {3,53}, {15,29}, {14,41}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {15,46}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {15,22}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {12,63}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {15,44}, {8,51}, {9,34}, {14,57}, {15,25}, {6,22}, {3,60}, {11,63}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {15,31}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {15,58}, {12,59}, {2,27}, {15,35}, {1,19}, {5,41}, {13,41}, {15,48}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {4,63}, {14,34}, {13,44}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {15,19}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {15,38}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {15,18}, {6,62}, {1,62}, {13,55}, {4,16}, {12,26}, {8,63}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {3,41}, {11,54}, {15,39}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {15,49}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {6,26}, {13,58}, {11,55}, {12,34}, {15,41}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {15,21}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {15,52}, {9,36}, {10,40}, {6,27}, {12,40}, {14,63}, {7,45}, {8,46}, {15,32}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {6,21}, {13,47}, {10,45}, {15,53}, {7,20}, {2,54}, {15,61}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {15,56}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {15,26}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {7,33}, {12,31}, {15,47}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {13,63}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.193 // Bipartite(14,49) Valencies [49,14] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 53028973474458184200434925093853847527516830389361287928741888000000000000 EdgesBipt[63][193]:={ {13,25}, {3,42}, {7,49}, {1,63}, {6,36}, {13,40}, {7,61}, {11,42}, {14,48}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {14,29}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {14,49}, {5,32}, {4,24}, {5,52}, {8,37}, {14,47}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {14,17}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {14,15}, {9,49}, {8,26}, {10,29}, {7,17}, {3,63}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {14,16}, {12,32}, {2,30}, {14,25}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {14,54}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {10,42}, {12,22}, {14,40}, {9,41}, {5,62}, {14,33}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {14,27}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {14,22}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {14,61}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {14,43}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {14,62}, {9,27}, {1,25}, {14,51}, {3,51}, {5,46}, {10,16}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {14,23}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {14,53}, {5,38}, {1,37}, {8,60}, {13,18}, {14,50}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {14,35}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {14,32}, {9,37}, {12,21}, {9,17}, {10,18}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {14,18}, {3,43}, {5,63}, {1,17}, {3,36}, {7,42}, {14,36}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {14,37}, {11,24}, {7,43}, {8,33}, {11,45}, {10,28}, {8,62}, {9,44}, {13,50}, {12,17}, {14,59}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {9,35}, {12,24}, {12,45}, {14,28}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {2,62}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {14,19}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {12,62}, {7,35}, {4,42}, {3,53}, {14,41}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {14,26}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {14,31}, {6,47}, {14,20}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {14,46}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {12,63}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {14,57}, {6,22}, {3,60}, {11,63}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {14,24}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {13,20}, {3,38}, {2,43}, {13,21}, {4,63}, {14,34}, {13,44}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {14,30}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {7,48}, {5,49}, {14,52}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {6,62}, {1,62}, {13,55}, {4,16}, {12,26}, {8,63}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {14,56}, {3,56}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {14,21}, {14,44}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {14,39}, {9,45}, {14,42}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {14,60}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {14,55}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {14,63}, {7,45}, {8,46}, {14,38}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {14,45}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {9,16}, {9,32}, {3,58}, {14,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {13,63}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.194 // Bipartite(13,50) Valencies [50,13] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 189389190980207800715839018192335169741131537104861742602649600000000000000 EdgesBipt[63][194]:={ {13,25}, {3,42}, {7,49}, {1,63}, {6,36}, {13,40}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {13,27}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {13,43}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {3,63}, {13,22}, {6,28}, {12,52}, {5,43}, {13,61}, {5,61}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {13,51}, {7,60}, {13,29}, {13,48}, {13,62}, {10,22}, {10,63}, {10,42}, {12,22}, {9,41}, {5,62}, {3,32}, {3,27}, {11,35}, {11,31}, {8,59}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {13,15}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {13,17}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {13,53}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {13,54}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {13,33}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {13,18}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {13,19}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {13,23}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {5,63}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {13,26}, {11,24}, {7,43}, {8,33}, {11,45}, {8,62}, {10,28}, {9,44}, {13,50}, {12,17}, {9,42}, {9,19}, {13,35}, {8,55}, {1,54}, {10,24}, {13,32}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {2,62}, {13,46}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {12,62}, {7,35}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {13,36}, {1,59}, {3,35}, {4,49}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {13,37}, {8,27}, {5,30}, {10,53}, {6,46}, {13,59}, {2,49}, {12,57}, {6,56}, {9,30}, {10,57}, {5,40}, {3,46}, {12,63}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {11,63}, {5,19}, {13,28}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {13,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {13,20}, {3,38}, {2,43}, {13,21}, {4,63}, {13,44}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {13,31}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {13,39}, {11,43}, {11,17}, {3,52}, {2,53}, {6,62}, {1,62}, {13,55}, {4,16}, {12,26}, {8,63}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {13,38}, {11,26}, {6,16}, {13,24}, {13,57}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {13,34}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {13,30}, {9,24}, {9,45}, {13,52}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {13,58}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {13,56}, {6,38}, {8,48}, {2,17}, {11,40}, {13,42}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {13,14}, {13,47}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {13,49}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {13,60}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {13,45}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {13,63}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {13,16}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.195 // Bipartite(12,51) Valencies [51,12] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 742988364614661372039060763677622588984439107103688374825779200000000000000 EdgesBipt[63][195]:={ {3,42}, {7,49}, {1,63}, {6,36}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {12,42}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {12,25}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {3,63}, {6,28}, {12,52}, {5,43}, {5,61}, {12,32}, {2,30}, {7,15}, {5,56}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {12,27}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {10,22}, {10,63}, {10,42}, {12,22}, {9,41}, {5,62}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {12,35}, {12,48}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {12,38}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {12,44}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {12,56}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {5,36}, {9,26}, {12,39}, {7,31}, {12,33}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {12,19}, {5,42}, {12,41}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {12,18}, {8,30}, {4,21}, {9,37}, {12,21}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {8,61}, {12,50}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {12,58}, {7,37}, {1,28}, {3,43}, {5,63}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {12,47}, {7,29}, {2,51}, {11,53}, {12,49}, {6,37}, {3,37}, {12,28}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {8,62}, {10,28}, {9,44}, {12,17}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {12,24}, {12,45}, {10,36}, {12,20}, {1,60}, {12,61}, {8,41}, {2,62}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {12,54}, {11,61}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {12,62}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {12,15}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {12,57}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {12,63}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {11,63}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {12,59}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {9,48}, {11,14}, {3,38}, {2,43}, {4,63}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {2,63}, {4,54}, {12,23}, {12,53}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {12,13}, {6,62}, {1,62}, {4,16}, {12,26}, {8,63}, {1,45}, {10,30}, {6,18}, {9,61}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {12,51}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {12,60}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {12,34}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {12,16}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {12,30}, {2,32}, {6,33}, {12,14}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {12,40}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {12,43}, {1,21}, {9,15}, {6,21}, {10,45}, {7,20}, {2,54}, {3,40}, {12,36}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {12,37}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {12,31}, {4,37}, {3,61}, {12,29}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {12,55}, {8,53}, {11,60}, {10,15}, {6,41}, {10,49}, {12,46}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.196 // Bipartite(11,52) Valencies [52,11] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3219616246663532612169263309269697885599236130782649624245043200000000000000 EdgesBipt[63][196]:={ {3,42}, {7,49}, {1,63}, {6,36}, {7,61}, {11,42}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {11,12}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {11,34}, {11,52}, {3,55}, {3,17}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {3,63}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {8,24}, {2,38}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {11,39}, {3,13}, {7,54}, {2,21}, {7,26}, {11,27}, {8,44}, {4,34}, {7,60}, {9,12}, {10,22}, {10,63}, {10,42}, {9,41}, {5,62}, {3,32}, {3,27}, {11,35}, {7,13}, {11,31}, {8,59}, {10,13}, {11,37}, {8,38}, {8,52}, {11,29}, {1,53}, {5,47}, {5,55}, {11,47}, {10,25}, {11,36}, {1,55}, {11,21}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {9,53}, {5,25}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {11,48}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {11,44}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {2,60}, {11,38}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {11,56}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {6,49}, {4,56}, {11,32}, {3,31}, {2,47}, {10,43}, {11,18}, {3,20}, {5,29}, {9,28}, {6,13}, {11,19}, {2,56}, {5,28}, {5,51}, {11,58}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {11,41}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {11,49}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {5,63}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {9,54}, {6,43}, {11,50}, {7,29}, {2,51}, {11,53}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {11,24}, {7,43}, {8,33}, {11,45}, {8,62}, {10,28}, {10,12}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {1,60}, {8,41}, {2,62}, {2,40}, {9,43}, {6,53}, {11,51}, {5,60}, {9,59}, {3,19}, {4,40}, {2,16}, {11,61}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {11,62}, {11,57}, {11,33}, {5,58}, {1,34}, {11,16}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {11,59}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {11,63}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {11,14}, {3,38}, {2,43}, {4,63}, {9,62}, {11,23}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {2,63}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {11,28}, {6,25}, {11,43}, {11,17}, {3,52}, {2,53}, {6,62}, {1,62}, {4,16}, {8,63}, {1,45}, {10,30}, {6,18}, {5,12}, {9,61}, {6,42}, {11,20}, {7,32}, {11,26}, {6,16}, {11,13}, {7,44}, {11,46}, {9,56}, {4,31}, {2,15}, {3,41}, {11,54}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {11,15}, {6,26}, {11,55}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {11,30}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {11,25}, {6,38}, {8,48}, {2,17}, {11,40}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {11,22}, {1,51}, {6,63}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {11,60}, {6,41}, {10,15}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.197 // Bipartite(10,53) Valencies [53,10] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 15512696461197020767724632308299453448796319539225493644089753600000000000000 EdgesBipt[63][197]:={ {3,42}, {7,49}, {1,63}, {6,36}, {7,61}, {4,46}, {9,18}, {3,29}, {10,17}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {10,61}, {3,49}, {3,62}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {10,54}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {5,18}, {9,49}, {8,26}, {10,29}, {7,17}, {3,63}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {10,27}, {1,41}, {3,54}, {4,30}, {7,63}, {10,55}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {7,60}, {9,12}, {10,22}, {10,63}, {10,42}, {9,41}, {5,62}, {3,32}, {3,27}, {7,13}, {8,59}, {10,13}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {10,25}, {1,55}, {10,51}, {3,22}, {5,53}, {6,19}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {5,25}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {10,23}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {10,16}, {6,14}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {10,50}, {2,44}, {2,45}, {10,14}, {1,42}, {8,49}, {10,48}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {10,19}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {10,43}, {3,20}, {5,29}, {9,28}, {6,13}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {10,18}, {1,14}, {10,20}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {10,31}, {3,18}, {8,56}, {5,15}, {5,16}, {7,37}, {1,28}, {3,43}, {5,63}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {6,43}, {9,54}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {10,46}, {7,43}, {8,33}, {8,62}, {10,28}, {9,44}, {10,12}, {9,42}, {9,19}, {1,13}, {8,55}, {10,11}, {1,54}, {10,24}, {2,25}, {3,28}, {2,14}, {9,35}, {10,36}, {1,60}, {8,41}, {2,62}, {2,40}, {9,43}, {6,53}, {5,60}, {1,11}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {10,37}, {2,42}, {9,46}, {10,52}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {10,53}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {10,57}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {10,26}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {10,35}, {9,47}, {4,27}, {3,12}, {10,59}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {4,63}, {9,62}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {2,63}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {10,38}, {10,60}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {10,34}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {6,62}, {1,62}, {4,16}, {8,63}, {1,45}, {10,30}, {6,18}, {5,12}, {6,42}, {9,61}, {7,32}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {10,33}, {10,39}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {10,41}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {10,56}, {9,51}, {9,38}, {10,44}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {10,40}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {6,63}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {10,45}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {10,21}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {10,58}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {10,62}, {4,35}, {7,19}, {10,47}, {2,35}, {10,32}, {8,50}, {4,19}, {6,59}, {8,53}, {5,11}, {6,41}, {10,15}, {10,49}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.198 // Bipartite(9,54) Valencies [54,9] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 83768560890463912145713014464817048623500125511817665678084669440000000000000 EdgesBipt[63][198]:={ {3,42}, {7,49}, {1,63}, {6,36}, {7,61}, {4,46}, {9,18}, {3,29}, {5,13}, {4,26}, {7,47}, {2,20}, {2,26}, {4,60}, {8,28}, {7,57}, {3,49}, {3,62}, {4,57}, {5,32}, {4,24}, {5,52}, {8,37}, {8,31}, {6,60}, {7,24}, {2,57}, {3,47}, {9,58}, {6,48}, {3,55}, {3,17}, {2,11}, {2,39}, {7,28}, {2,24}, {7,53}, {7,62}, {9,63}, {1,32}, {4,28}, {4,11}, {8,36}, {9,21}, {1,18}, {8,20}, {3,15}, {3,10}, {5,18}, {9,49}, {8,26}, {7,17}, {3,63}, {2,12}, {6,28}, {5,43}, {5,61}, {2,30}, {7,15}, {5,56}, {4,12}, {3,25}, {1,41}, {7,10}, {3,54}, {4,30}, {7,63}, {8,24}, {2,38}, {8,11}, {2,52}, {4,52}, {6,34}, {4,38}, {1,49}, {3,13}, {7,54}, {2,21}, {7,26}, {8,44}, {4,34}, {7,60}, {9,12}, {9,41}, {9,10}, {5,62}, {3,32}, {3,27}, {7,13}, {8,59}, {8,38}, {8,52}, {1,53}, {5,47}, {5,55}, {1,55}, {3,22}, {5,53}, {6,19}, {1,10}, {5,23}, {4,59}, {7,59}, {2,37}, {9,50}, {7,30}, {5,25}, {9,53}, {5,26}, {6,31}, {8,40}, {2,41}, {1,31}, {6,58}, {2,59}, {6,35}, {5,50}, {3,14}, {5,45}, {3,48}, {8,57}, {9,22}, {4,41}, {5,20}, {7,51}, {8,39}, {7,34}, {9,55}, {1,20}, {2,36}, {7,14}, {1,26}, {9,27}, {1,25}, {3,51}, {5,46}, {6,14}, {8,58}, {8,35}, {2,60}, {5,27}, {6,40}, {1,50}, {9,31}, {7,23}, {5,33}, {4,39}, {7,16}, {6,11}, {1,22}, {6,57}, {6,24}, {8,47}, {6,39}, {2,44}, {2,45}, {1,42}, {8,49}, {8,21}, {9,20}, {4,45}, {3,16}, {2,28}, {1,27}, {5,22}, {9,25}, {3,23}, {4,44}, {1,12}, {5,36}, {9,26}, {6,12}, {7,31}, {5,38}, {1,37}, {8,60}, {6,52}, {3,50}, {1,29}, {2,34}, {5,42}, {9,11}, {4,56}, {6,49}, {3,31}, {2,47}, {3,20}, {5,29}, {9,28}, {6,13}, {8,10}, {2,56}, {5,28}, {5,51}, {8,30}, {4,21}, {9,37}, {9,17}, {1,14}, {9,52}, {8,34}, {9,29}, {8,61}, {2,22}, {4,33}, {2,55}, {1,44}, {3,18}, {8,56}, {5,15}, {5,16}, {6,10}, {7,37}, {1,28}, {3,43}, {5,63}, {1,17}, {3,36}, {9,14}, {7,42}, {4,58}, {6,43}, {9,54}, {7,29}, {2,51}, {6,37}, {3,37}, {1,35}, {2,58}, {5,21}, {7,36}, {9,39}, {7,43}, {8,33}, {8,62}, {9,44}, {9,42}, {9,19}, {1,13}, {8,55}, {1,54}, {2,25}, {3,28}, {2,14}, {9,35}, {1,60}, {8,41}, {2,62}, {2,40}, {9,43}, {6,53}, {5,60}, {1,11}, {9,59}, {3,19}, {4,40}, {2,16}, {1,39}, {6,45}, {7,40}, {4,62}, {6,44}, {2,42}, {9,46}, {7,55}, {7,35}, {9,13}, {4,42}, {3,53}, {4,15}, {4,29}, {9,60}, {8,25}, {5,34}, {1,30}, {1,43}, {3,26}, {1,52}, {9,23}, {1,59}, {3,35}, {4,49}, {4,61}, {5,48}, {9,40}, {8,22}, {8,45}, {7,46}, {6,47}, {5,59}, {5,58}, {1,34}, {7,25}, {2,61}, {4,47}, {8,27}, {5,30}, {6,46}, {2,49}, {6,56}, {9,30}, {2,13}, {5,40}, {3,46}, {4,13}, {8,17}, {4,22}, {6,50}, {1,40}, {6,23}, {1,23}, {8,29}, {1,48}, {7,22}, {8,51}, {9,34}, {6,22}, {3,60}, {5,19}, {3,57}, {2,33}, {6,32}, {4,27}, {9,47}, {3,12}, {4,17}, {3,24}, {6,55}, {7,27}, {7,11}, {4,32}, {2,27}, {1,19}, {5,41}, {2,10}, {6,17}, {4,55}, {8,54}, {3,34}, {7,12}, {9,48}, {3,38}, {3,11}, {2,43}, {4,10}, {4,63}, {9,62}, {1,47}, {6,51}, {3,59}, {9,33}, {8,16}, {8,42}, {8,32}, {7,38}, {1,61}, {7,52}, {2,63}, {4,54}, {8,18}, {5,31}, {4,51}, {4,25}, {3,30}, {8,15}, {6,54}, {1,46}, {1,56}, {4,14}, {7,48}, {5,49}, {6,25}, {3,52}, {2,53}, {6,62}, {1,62}, {4,16}, {8,63}, {1,45}, {6,18}, {5,12}, {6,42}, {9,61}, {7,32}, {5,10}, {6,16}, {7,44}, {9,56}, {4,31}, {2,15}, {3,41}, {3,56}, {8,14}, {1,38}, {5,37}, {7,41}, {3,44}, {8,23}, {2,29}, {3,21}, {1,36}, {9,24}, {9,45}, {6,20}, {6,61}, {2,46}, {3,39}, {7,56}, {6,26}, {8,19}, {4,20}, {4,50}, {7,21}, {2,50}, {4,48}, {8,43}, {2,48}, {2,23}, {7,39}, {9,51}, {9,38}, {1,33}, {2,32}, {6,33}, {4,23}, {9,36}, {8,13}, {6,27}, {7,45}, {8,46}, {6,30}, {7,58}, {6,38}, {8,48}, {2,17}, {9,57}, {5,14}, {5,44}, {5,35}, {3,45}, {4,43}, {1,51}, {6,63}, {9,16}, {9,32}, {3,58}, {7,50}, {5,39}, {1,21}, {9,15}, {6,21}, {8,12}, {7,20}, {2,54}, {3,40}, {7,18}, {3,33}, {1,57}, {5,17}, {1,24}, {4,18}, {2,18}, {5,57}, {4,53}, {1,16}, {2,19}, {5,24}, {6,15}, {7,33}, {1,15}, {4,37}, {3,61}, {4,35}, {7,19}, {2,35}, {8,50}, {4,19}, {6,59}, {8,53}, {5,11}, {6,41}, {4,36}, {1,58}, {5,54}, {6,29}, {2,31} }; // ETB63.199 // Bipartite(8,55) Valencies [55,8] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 511918983219501685334912866173881963810278544794441290254961868800000000000000 EdgesBipt[63][199]:={ {6,52}, {7,48}, {6,38}, {8,57}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {8,51}, {5,45}, {2,62}, {2,60}, {3,26}, {8,63}, {8,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {8,40}, {5,57}, {3,35}, {8,21}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {8,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {2,61}, {4,37}, {4,40}, {8,31}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {8,16}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {8,13}, {8,30}, {8,12}, {1,17}, {1,9}, {4,16}, {7,45}, {8,46}, {1,10}, {4,13}, {8,37}, {7,11}, {5,41}, {6,60}, {8,52}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {8,9}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {8,38}, {5,50}, {4,49}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {8,49}, {7,15}, {8,22}, {1,61}, {6,34}, {1,43}, {4,62}, {8,42}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {4,61}, {3,38}, {8,19}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {8,18}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {5,35}, {4,9}, {3,63}, {3,36}, {6,12}, {4,21}, {8,48}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {8,56}, {8,50}, {8,10}, {8,15}, {6,36}, {8,17}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {8,60}, {7,12}, {8,24}, {8,47}, {4,41}, {8,41}, {4,10}, {5,14}, {7,46}, {8,45}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,63}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {8,59}, {3,25}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {8,53}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {8,34}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {7,61}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,63}, {4,59}, {7,52}, {6,37}, {6,43}, {8,32}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {5,63}, {1,62}, {7,29}, {2,28}, {8,29}, {7,21}, {8,36}, {2,45}, {8,27}, {5,46}, {4,55}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {8,11}, {8,43}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {8,58}, {6,63}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {8,33}, {5,47}, {2,57}, {4,12}, {3,57}, {6,54}, {7,10}, {8,14}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {8,44}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {8,55}, {5,55}, {5,17}, {3,40}, {8,61}, {7,17}, {8,35}, {2,40}, {8,54}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {7,63}, {2,38}, {2,59}, {7,9}, {2,63}, {8,62}, {5,10}, {5,62}, {6,53}, {6,55}, {7,44}, {8,28}, {7,43}, {6,62}, {4,20}, {8,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {8,39}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {8,25}, {2,9}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {7,62}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB63.200 // Bipartite(7,56) Valencies [56,7] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3583432882536511797344390063217173746671949813561089031784733081600000000000000 EdgesBipt[63][200]:={ {6,52}, {7,48}, {6,38}, {6,59}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {5,43}, {2,55}, {3,58}, {5,59}, {5,45}, {2,62}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {7,30}, {6,9}, {2,61}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {7,59}, {1,17}, {1,9}, {4,16}, {7,45}, {1,10}, {4,13}, {7,11}, {5,41}, {6,60}, {7,41}, {1,13}, {3,10}, {7,27}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {7,33}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {7,56}, {6,44}, {4,23}, {4,49}, {5,50}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {7,15}, {1,61}, {6,34}, {1,43}, {4,62}, {4,22}, {5,54}, {7,54}, {6,51}, {1,18}, {4,61}, {3,38}, {5,27}, {7,14}, {3,43}, {5,28}, {6,17}, {6,10}, {2,39}, {4,18}, {3,47}, {1,42}, {7,32}, {7,60}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {7,37}, {5,12}, {6,27}, {2,30}, {5,53}, {7,53}, {2,8}, {5,35}, {4,9}, {3,63}, {3,36}, {6,12}, {4,21}, {4,32}, {7,19}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {7,12}, {4,41}, {4,10}, {5,14}, {7,46}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,63}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {6,8}, {7,35}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {7,50}, {1,22}, {7,34}, {4,57}, {5,19}, {7,8}, {7,58}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {7,28}, {2,16}, {6,11}, {5,40}, {4,50}, {7,23}, {4,34}, {6,22}, {1,57}, {6,31}, {7,61}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {7,49}, {6,23}, {3,41}, {7,39}, {4,36}, {4,29}, {1,32}, {1,54}, {4,63}, {4,59}, {7,52}, {6,37}, {6,43}, {6,57}, {7,24}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {7,40}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {5,63}, {1,62}, {7,29}, {2,28}, {7,21}, {2,45}, {4,55}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {7,55}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {6,63}, {3,45}, {2,53}, {3,14}, {5,26}, {3,11}, {7,47}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {7,31}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {7,10}, {7,51}, {1,53}, {3,15}, {5,51}, {7,25}, {7,22}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {7,42}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {7,26}, {1,50}, {7,18}, {2,47}, {5,18}, {5,16}, {1,23}, {7,16}, {5,55}, {5,17}, {3,40}, {7,17}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {7,20}, {5,42}, {7,38}, {7,63}, {2,38}, {2,59}, {7,9}, {2,63}, {5,10}, {5,62}, {6,53}, {6,55}, {7,44}, {7,43}, {6,62}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {7,13}, {5,36}, {4,39}, {7,36}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {6,61}, {4,48}, {7,57}, {2,32}, {6,33}, {2,14}, {7,62}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB63.201 // Bipartite(6,57) Valencies [57,6] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 29179382043511596064090033371911271937185877053283153544532826521600000000000000 EdgesBipt[63][201]:={ {6,52}, {6,38}, {6,59}, {5,7}, {6,25}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {2,55}, {5,43}, {3,58}, {5,59}, {5,45}, {2,62}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {6,15}, {5,57}, {3,35}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {6,48}, {5,32}, {4,51}, {1,35}, {2,7}, {6,9}, {2,61}, {4,37}, {4,40}, {2,46}, {6,56}, {6,58}, {6,14}, {2,33}, {6,32}, {4,38}, {3,49}, {1,12}, {6,29}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {6,60}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {6,39}, {6,49}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {6,18}, {2,56}, {6,46}, {6,44}, {4,23}, {4,49}, {5,50}, {6,24}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {1,61}, {6,34}, {1,43}, {4,62}, {4,22}, {5,54}, {6,51}, {1,18}, {4,61}, {3,38}, {5,27}, {3,43}, {5,28}, {6,17}, {6,10}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {6,27}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,63}, {3,36}, {6,12}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {6,36}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {6,16}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,63}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {6,8}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {6,30}, {1,22}, {4,57}, {5,19}, {6,13}, {1,25}, {6,19}, {2,20}, {4,17}, {5,39}, {3,32}, {6,45}, {2,16}, {6,11}, {5,40}, {4,50}, {4,34}, {6,22}, {1,57}, {6,31}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {6,23}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,63}, {4,59}, {6,37}, {6,43}, {6,57}, {5,31}, {2,19}, {3,60}, {6,20}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {5,63}, {1,62}, {2,28}, {2,45}, {4,55}, {5,46}, {3,48}, {6,47}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {6,63}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {6,54}, {1,53}, {3,15}, {5,51}, {1,14}, {6,26}, {1,34}, {5,21}, {2,50}, {6,41}, {6,28}, {6,42}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {6,21}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {2,63}, {5,10}, {5,62}, {6,53}, {6,55}, {6,62}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {6,35}, {6,50}, {1,37}, {1,58}, {2,42}, {2,9}, {6,61}, {4,48}, {2,32}, {6,33}, {2,14}, {6,7}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30}, {6,40} }; // ETB63.202 // Bipartite(5,58) Valencies [58,5] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 282067359753945428619536989261808962059463478181737150930483989708800000000000000 EdgesBipt[63][202]:={ {5,7}, {5,38}, {5,22}, {5,56}, {3,8}, {4,28}, {2,55}, {5,43}, {3,58}, {5,59}, {5,45}, {2,62}, {2,60}, {3,26}, {1,49}, {5,11}, {1,40}, {3,61}, {2,35}, {4,31}, {5,57}, {3,35}, {5,6}, {3,19}, {5,15}, {1,19}, {2,49}, {3,23}, {3,20}, {2,18}, {1,21}, {3,21}, {3,39}, {5,32}, {4,51}, {1,35}, {2,7}, {2,61}, {4,37}, {4,40}, {2,46}, {2,33}, {4,38}, {3,49}, {1,12}, {1,20}, {3,18}, {2,34}, {2,25}, {4,24}, {4,43}, {2,6}, {1,52}, {2,52}, {4,30}, {1,17}, {1,9}, {4,16}, {1,10}, {4,13}, {5,41}, {1,13}, {3,10}, {4,58}, {2,10}, {3,9}, {2,17}, {3,52}, {1,24}, {5,60}, {2,48}, {2,15}, {5,37}, {1,36}, {1,29}, {2,56}, {4,23}, {4,49}, {5,50}, {2,29}, {5,34}, {1,38}, {1,26}, {3,17}, {2,36}, {1,61}, {1,43}, {4,62}, {4,22}, {5,54}, {1,18}, {4,61}, {3,38}, {5,27}, {3,43}, {5,28}, {4,7}, {2,39}, {4,18}, {3,47}, {1,42}, {1,31}, {3,31}, {3,51}, {3,13}, {1,39}, {5,12}, {2,30}, {5,53}, {2,8}, {5,35}, {4,9}, {3,63}, {3,36}, {4,21}, {4,32}, {4,60}, {2,44}, {1,30}, {2,13}, {1,55}, {4,53}, {3,30}, {3,55}, {3,16}, {1,47}, {2,24}, {3,24}, {2,51}, {4,41}, {4,10}, {5,14}, {3,59}, {3,29}, {3,62}, {1,41}, {2,23}, {4,45}, {1,63}, {1,51}, {1,59}, {4,11}, {3,44}, {4,47}, {5,61}, {3,25}, {2,43}, {5,52}, {2,27}, {4,33}, {2,12}, {1,22}, {4,57}, {5,19}, {1,6}, {1,25}, {2,20}, {4,17}, {5,39}, {3,32}, {2,16}, {5,40}, {4,50}, {4,34}, {1,57}, {3,7}, {1,16}, {3,42}, {3,22}, {1,44}, {4,14}, {5,8}, {4,15}, {1,48}, {3,41}, {4,36}, {4,29}, {1,32}, {1,54}, {4,63}, {4,59}, {5,31}, {2,19}, {3,60}, {4,44}, {2,54}, {2,41}, {5,23}, {5,20}, {3,53}, {2,26}, {1,60}, {5,63}, {1,62}, {2,28}, {2,45}, {4,55}, {5,46}, {3,48}, {3,33}, {2,11}, {1,45}, {3,50}, {3,34}, {2,21}, {1,11}, {4,27}, {5,24}, {2,22}, {4,46}, {3,56}, {2,31}, {1,33}, {3,54}, {5,58}, {3,45}, {1,7}, {2,53}, {3,14}, {5,26}, {3,11}, {2,37}, {4,42}, {4,8}, {5,29}, {4,25}, {3,28}, {5,9}, {5,47}, {2,57}, {4,12}, {1,8}, {3,57}, {3,6}, {1,53}, {3,15}, {5,51}, {1,14}, {1,34}, {5,21}, {2,50}, {4,35}, {1,15}, {5,49}, {1,56}, {1,50}, {2,47}, {5,18}, {5,16}, {1,23}, {5,55}, {5,17}, {3,40}, {2,40}, {4,26}, {1,28}, {3,27}, {5,42}, {2,38}, {2,59}, {2,63}, {5,10}, {5,62}, {4,20}, {1,27}, {5,44}, {5,13}, {5,25}, {4,52}, {4,6}, {1,46}, {4,19}, {3,37}, {3,12}, {5,36}, {4,39}, {1,37}, {1,58}, {2,42}, {2,9}, {4,48}, {2,32}, {2,14}, {3,46}, {5,48}, {5,33}, {2,58}, {4,56}, {4,54}, {5,30} }; // ETB63.203 // Bipartite(4,59) Valencies [59,4] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 3328394845096556057710536473289345752301669042544498380979711078563840000000000000 EdgesBipt[63][203]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {2,46}, {4,27}, {4,24}, {3,22}, {4,26}, {2,56}, {3,8}, {3,40}, {1,10}, {4,16}, {4,53}, {1,56}, {2,61}, {4,30}, {4,50}, {4,56}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {4,29}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {4,19}, {4,31}, {2,19}, {1,19}, {2,27}, {4,62}, {3,35}, {3,58}, {3,37}, {2,26}, {2,62}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {3,61}, {4,23}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {3,63}, {4,38}, {3,34}, {2,25}, {3,46}, {1,38}, {4,10}, {2,34}, {4,60}, {1,17}, {2,36}, {1,50}, {1,7}, {4,22}, {3,49}, {1,18}, {3,14}, {1,55}, {4,8}, {1,5}, {2,5}, {1,44}, {2,10}, {4,41}, {2,38}, {2,37}, {2,52}, {4,42}, {2,39}, {3,56}, {1,31}, {3,12}, {4,45}, {1,61}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {4,47}, {4,33}, {4,21}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {4,59}, {2,48}, {4,52}, {1,29}, {2,16}, {3,39}, {3,32}, {4,35}, {2,32}, {1,12}, {4,57}, {1,23}, {2,6}, {4,48}, {1,60}, {1,45}, {1,9}, {1,58}, {4,55}, {1,28}, {4,13}, {4,15}, {3,11}, {3,50}, {3,27}, {4,7}, {4,54}, {1,33}, {4,28}, {4,43}, {3,29}, {3,10}, {1,43}, {3,26}, {4,46}, {1,52}, {2,17}, {4,36}, {4,6}, {1,42}, {3,19}, {4,9}, {1,24}, {1,49}, {3,23}, {1,39}, {3,62}, {3,21}, {2,7}, {1,25}, {1,46}, {4,58}, {1,53}, {1,15}, {2,11}, {1,35}, {4,5}, {1,37}, {3,16}, {4,37}, {3,53}, {4,40}, {2,21}, {3,30}, {3,24}, {4,51}, {2,29}, {1,26}, {2,22}, {4,34}, {1,16}, {3,48}, {4,14}, {1,62}, {2,47}, {1,47}, {2,40}, {4,49}, {2,31}, {3,55}, {2,58}, {3,42}, {4,18}, {4,25}, {3,38}, {1,8}, {4,11}, {4,12}, {4,20}, {3,28}, {1,41}, {3,41}, {1,48}, {3,54}, {3,31}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {3,59}, {4,61}, {2,18}, {1,54}, {1,34}, {2,60}, {2,43}, {2,63}, {4,17}, {1,63}, {3,36}, {4,39}, {4,44}, {4,63}, {4,32}, {1,36}, {2,50}, {2,49} }; // ETB63.204 // Bipartite(3,60) Valencies [60,3] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 49925922676448340865658047099340186284525035638167475714695666178457600000000000000 EdgesBipt[63][204]:={ {2,44}, {1,11}, {3,33}, {3,60}, {2,24}, {1,20}, {2,33}, {2,46}, {3,22}, {2,56}, {3,8}, {3,40}, {1,10}, {1,56}, {2,61}, {2,23}, {1,13}, {2,51}, {3,9}, {3,6}, {1,57}, {1,32}, {3,13}, {3,45}, {1,27}, {3,43}, {3,25}, {3,15}, {1,40}, {2,15}, {2,19}, {1,19}, {2,27}, {3,35}, {3,58}, {2,4}, {3,37}, {2,26}, {2,62}, {1,21}, {2,9}, {3,52}, {2,41}, {3,57}, {2,28}, {2,14}, {1,30}, {3,61}, {3,5}, {2,54}, {2,42}, {3,18}, {3,17}, {3,7}, {2,45}, {3,63}, {3,34}, {2,25}, {3,46}, {1,38}, {2,34}, {1,17}, {2,36}, {1,50}, {1,7}, {3,49}, {1,18}, {3,14}, {1,55}, {1,5}, {2,5}, {1,44}, {2,10}, {2,38}, {2,37}, {2,52}, {2,39}, {3,56}, {1,31}, {3,12}, {1,61}, {2,53}, {2,35}, {1,22}, {1,51}, {3,44}, {2,59}, {3,20}, {1,59}, {3,51}, {2,13}, {2,20}, {2,57}, {2,48}, {1,29}, {2,16}, {3,39}, {3,32}, {2,32}, {3,4}, {1,12}, {1,23}, {2,6}, {1,60}, {1,45}, {1,9}, {1,58}, {1,28}, {3,11}, {3,50}, {3,27}, {1,33}, {3,29}, {3,10}, {1,43}, {3,26}, {1,52}, {2,17}, {1,42}, {3,19}, {1,24}, {1,49}, {3,23}, {1,39}, {3,62}, {3,21}, {2,7}, {1,25}, {1,46}, {1,53}, {1,15}, {2,11}, {1,35}, {1,37}, {3,16}, {3,53}, {2,21}, {3,30}, {3,24}, {2,29}, {1,26}, {2,22}, {1,16}, {3,48}, {1,62}, {2,47}, {1,47}, {2,40}, {2,31}, {3,55}, {2,58}, {3,42}, {1,4}, {3,38}, {1,8}, {3,28}, {1,41}, {3,41}, {1,48}, {3,31}, {3,54}, {2,12}, {1,14}, {2,8}, {1,6}, {2,55}, {3,47}, {2,30}, {3,59}, {2,18}, {1,54}, {1,34}, {2,60}, {2,43}, {2,63}, {1,63}, {3,36}, {1,36}, {2,50}, {2,49} }; // ETB63.205 // Bipartite(2,61) Valencies [61,2] // Diameter 2 Girth 4 // Has twins Non-VT Non-AT // Automorphism group of order 1015160427754449597601713624353250454452009057976072006198811878961971200000000000000 EdgesBipt[63][205]:={ {1,15}, {1,43}, {2,38}, {1,11}, {2,22}, {1,61}, {1,31}, {2,11}, {1,46}, {1,40}, {2,3}, {2,20}, {1,25}, {2,47}, {2,37}, {1,38}, {1,9}, {1,56}, {2,33}, {1,5}, {1,44}, {2,55}, {1,32}, {2,28}, {1,52}, {2,19}, {2,18}, {2,15}, {2,29}, {1,29}, {1,34}, {2,14}, {1,3}, {2,10}, {2,52}, {2,41}, {2,31}, {2,23}, {1,10}, {2,56}, {1,36}, {1,17}, {2,16}, {1,22}, {2,50}, {2,32}, {1,16}, {2,36}, {2,17}, {1,50}, {2,13}, {1,12}, {1,55}, {2,61}, {2,42}, {2,34}, {1,19}, {2,40}, {2,35}, {2,57}, {2,9}, {1,4}, {1,59}, {2,53}, {1,35}, {1,26}, {1,53}, {2,44}, {2,58}, {2,4}, {2,24}, {1,58}, {2,27}, {1,63}, {2,43}, {1,60}, {1,23}, {2,21}, {1,54}, {2,48}, {2,54}, {1,7}, {2,46}, {1,39}, {2,39}, {2,12}, {1,49}, {1,62}, {2,49}, {2,51}, {1,42}, {2,6}, {2,59}, {1,14}, {1,51}, {1,41}, {2,8}, {1,37}, {1,20}, {1,27}, {1,13}, {2,26}, {1,33}, {2,25}, {2,63}, {1,28}, {2,60}, {2,7}, {1,47}, {1,45}, {2,62}, {1,57}, {1,8}, {1,30}, {2,30}, {1,21}, {1,6}, {1,48}, {1,18}, {2,5}, {1,24}, {2,45} }; // ETB63.206 // Bipartite(1,62) Valencies [62,1] // Diameter 2 No cycles // Has twins Non-VT Non-AT // Automorphism group of order 31469973260387937525653122354950764088012280797258232192163168247821107200000000000000 EdgesBipt[63][206]:={ {1,26}, {1,47}, {1,50}, {1,14}, {1,44}, {1,24}, {1,46}, {1,29}, {1,30}, {1,32}, {1,56}, {1,37}, {1,33}, {1,40}, {1,10}, {1,2}, {1,43}, {1,39}, {1,61}, {1,36}, {1,6}, {1,45}, {1,4}, {1,60}, {1,20}, {1,12}, {1,31}, {1,58}, {1,38}, {1,55}, {1,7}, {1,15}, {1,16}, {1,21}, {1,59}, {1,49}, {1,3}, {1,18}, {1,5}, {1,63}, {1,57}, {1,27}, {1,17}, {1,48}, {1,53}, {1,28}, {1,54}, {1,42}, {1,8}, {1,13}, {1,19}, {1,62}, {1,9}, {1,51}, {1,41}, {1,22}, {1,34}, {1,35}, {1,23}, {1,52}, {1,11}, {1,25} }; // Total number of connected ET bipartite graphs of order 63 is 206 // ******************************************************************************************** // Total number of connected ET bipartite graphs listed above = 3312 // ********************************************************************************************