Chiral regular maps (on orientable surfaces) with up to 1000 edges .................................................................. Below is a complete list of all rotary but chiral maps with up to 1000 edges (on orientable surfaces), up to isomorphism, mirror image and duality. The list is ordered first by the number of edges, and then by the type {p,q}_r where p is the face-size, q is the valency and r is the length of a Petrie polygon. Each entry in the list indicates also the genus of the map, and gives the order of its automorphism group and a presentation for the automorphism in terms of the standard triangle group generators X and Y (which always satisfy the defining relations for the ordinary (p,q,2) triangle group, namely X^p = Y^q = (XY)^2 = 1. Each such map is exactly one of the following: (a) self-dual, or (b) isomorphic to its mirror-dual (the mirror image of its geometric dual), or (c) neither. For each map in the list, an indication is given as to which of these holds. The presentations for the automorphism groups of the dual, the mirror image and the mirror-dual be obtained by isomorphisms as follows: * The dual can be obtained by taking (X,Y) to (Y,X) * The mirror image can be obtained by taking (X,Y) to (X^{-1},Y^{-1}) * The mirror-dual can be obtained by taking (X,Y) to (Y^{-1},X^{-1}) This list was created by finding and analysing all normal subgroups of index up to 2000 in the relevant triangle groups, with the help of the MAGMA system. Marston Conder December 2012 ......................... Chiral maps with 10 edges ......................... Chiral map of genus 1 and type {4,4}_10 isomorphic to its dual Automorphism group of order 20 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y^-2*X^2*Y ] ......................... Chiral maps with 20 edges ......................... Chiral map of genus 1 and type {4,4}_10 isomorphic to its dual Automorphism group of order 40 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X^-2*Y^2*X ] ......................... Chiral maps with 21 edges ......................... Chiral map of genus 1 and type {3,6}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 42 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X*Y^-2*X^-1*Y^2*X^-1*Y ] ......................... Chiral maps with 26 edges ......................... Chiral map of genus 1 and type {4,4}_26 isomorphic to its dual Automorphism group of order 52 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X^-2*Y^-2*X^2*Y^2*X ] ......................... Chiral maps with 27 edges ......................... Chiral map of genus 7 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 54 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X^-3*Y^-1*X*Y ] ......................... Chiral maps with 28 edges ......................... Chiral map of genus 7 and type {7,7}_4 isomorphic to its mirror-dual Automorphism group of order 56 with defining relations: [ (X*Y)^2, X^-7, Y*X^-3*Y^2*X^-1 ] ......................... Chiral maps with 30 edges ......................... Chiral map of genus 11 and type {12,12}_10 isomorphic to its dual Automorphism group of order 60 with defining relations: [ (X*Y)^2, X*Y^-1*X^2*Y^-2 ] ......................... Chiral maps with 34 edges ......................... Chiral map of genus 1 and type {4,4}_34 isomorphic to its dual Automorphism group of order 68 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^2*Y*X^-1*Y ] .......................... Chiral maps with 36 edges ......................... Chiral map of genus 10 and type {8,8}_6 isomorphic to its dual Automorphism group of order 72 with defining relations: [ (X*Y)^2, X^8, X*Y^-1*X^3*Y*X^-1*Y^-1 ] ......................... Chiral maps with 39 edges ......................... Chiral map of genus 1 and type {3,6}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 78 with defining relations: [ (X*Y)^2, X^3, Y^6, X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2 ] ......................... Chiral maps with 40 edges ......................... Chiral map of genus 1 and type {4,4}_20 isomorphic to its dual Automorphism group of order 80 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^2*X^2*Y ] Chiral map of genus 11 and type {8,8}_10 isomorphic to its dual Automorphism group of order 80 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, X*Y^-2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 11 and type {8,8}_20 isomorphic to its dual Automorphism group of order 80 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1 ] ......................... Chiral maps with 42 edges ......................... Chiral map of genus 8 and type {6,6}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 84 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X*Y^-1*X^-3*Y^-1*X^2*Y ] ......................... Chiral maps with 50 edges ......................... Chiral map of genus 1 and type {4,4}_50 isomorphic to its dual Automorphism group of order 100 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 21 and type {20,20}_10 isomorphic to its dual Automorphism group of order 100 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^6*Y^-2*X*Y^-1 ] ......................... Chiral maps with 52 edges ......................... Chiral map of genus 1 and type {4,4}_26 isomorphic to its dual Automorphism group of order 104 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X ] ......................... Chiral maps with 54 edges ......................... Chiral map of genus 16 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 108 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^-2*Y^-4 ] ......................... Chiral maps with 55 edges ......................... Chiral map of genus 12 and type {5,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 110 with defining relations: [ (X*Y)^2, X^5, Y^-1*X*Y^-1*X^-2*Y^-4 ] Chiral map of genus 12 and type {5,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 110 with defining relations: [ (X*Y)^2, X^5, Y*X^-1*Y*X^2*Y^-1*X*Y ] ......................... Chiral maps with 56 edges ......................... Chiral map of genus 17 and type {7,14}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 112 with defining relations: [ (X*Y)^2, X^-7, X^-1*Y*X^-2*Y^3 ] Chiral map of genus 21 and type {14,14}_4 isomorphic to its mirror-dual Automorphism group of order 112 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-1*X^8*Y^-2 ] ......................... Chiral maps with 57 edges ......................... Chiral map of genus 1 and type {3,6}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 114 with defining relations: [ (X*Y)^2, X^3, Y^6, X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y ] ......................... Chiral maps with 58 edges ......................... Chiral map of genus 1 and type {4,4}_58 isomorphic to its dual Automorphism group of order 116 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^-1 ] ......................... Chiral maps with 60 edges ......................... Chiral map of genus 11 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 120 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y*X*Y^-2*X^-2*Y^-1*X*Y^2 ] Chiral map of genus 21 and type {12,12}_10 isomorphic to its dual Automorphism group of order 120 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^12 ] ......................... Chiral maps with 63 edges ......................... Chiral map of genus 1 and type {3,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 126 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-1 ] Chiral map of genus 22 and type {9,18}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 126 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, Y^2*X^-1*Y*X^-1*Y^3*X^-1 ] ......................... Chiral maps with 64 edges ......................... Chiral map of genus 25 and type {16,16}_8 isomorphic to its dual Automorphism group of order 128 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-2*X^3*Y*X^-1*Y^-1 ] ......................... Chiral maps with 68 edges ......................... Chiral map of genus 1 and type {4,4}_34 isomorphic to its dual Automorphism group of order 136 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X ] Chiral map of genus 18 and type {8,8}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 136 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y*X^-1*Y^-1 ] ......................... Chiral maps with 70 edges ......................... Chiral map of genus 31 and type {28,28}_10 isomorphic to its dual Automorphism group of order 140 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^2*Y^-2*X^9*Y^-1 ] ......................... Chiral maps with 72 edges ......................... Chiral map of genus 10 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 144 with defining relations: [ (X*Y)^2, X^4, Y^8, Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 19 and type {8,8}_6 isomorphic to its dual Automorphism group of order 144 with defining relations: [ (X*Y)^2, X^8, Y^-2*X^3*Y^-1*X*Y^-1 ] ......................... Chiral maps with 74 edges ......................... Chiral map of genus 1 and type {4,4}_74 isomorphic to its dual Automorphism group of order 148 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1 ] ......................... Chiral maps with 78 edges ......................... Chiral map of genus 14 and type {6,6}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 156 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X ] Chiral map of genus 27 and type {12,12}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 156 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^-1*Y*X^4*Y^-1*X^2*Y^-1 ] Chiral map of genus 27 and type {12,12}_26 isomorphic to its dual Automorphism group of order 156 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2 ] ......................... Chiral maps with 80 edges ......................... Chiral map of genus 1 and type {4,4}_20 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 11 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^2 ] Chiral map of genus 11 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 21 and type {8,8}_20 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 21 and type {8,8}_20 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 31 and type {16,16}_10 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-3*X^8*Y^-1*X^3 ] Chiral map of genus 31 and type {16,16}_20 isomorphic to its dual Automorphism group of order 160 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-2*X^2*Y^-1*X*Y^-1 ] ......................... Chiral maps with 81 edges ......................... Chiral map of genus 25 and type {6,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 162 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^3*X^-2*Y*X^2*Y^5 ] Chiral map of genus 28 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 162 with defining relations: [ (X*Y)^2, X^-9, Y*X^-4*Y*X^-1*Y^2 ] ......................... Chiral maps with 82 edges ......................... Chiral map of genus 1 and type {4,4}_82 isomorphic to its dual Automorphism group of order 164 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X ] ......................... Chiral maps with 84 edges ......................... Chiral map of genus 1 and type {3,6}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-1*X*Y ] Chiral map of genus 22 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1 ] Chiral map of genus 22 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, X*Y^-3*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 29 and type {12,12}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^12 ] Chiral map of genus 35 and type {21,21}_4 isomorphic to its mirror-dual Automorphism group of order 168 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-8*X^8*Y^-2 ] ......................... Chiral maps with 90 edges ......................... Chiral map of genus 1 and type {4,4}_30 isomorphic to its dual Automorphism group of order 180 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y*X^-1*Y ] Chiral map of genus 41 and type {36,36}_10 isomorphic to its dual Automorphism group of order 180 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^3*X^-10*Y^2*X^-2 ] ......................... Chiral maps with 93 edges ......................... Chiral map of genus 1 and type {3,6}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 186 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y^3*X*Y^-1*X*Y ] ......................... Chiral maps with 96 edges ......................... Chiral map of genus 17 and type {6,6}_8 isomorphic to its dual Automorphism group of order 192 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^-3*X^3*Y^3*X^-2 ] .......................... Chiral maps with 100 edges .......................... Chiral map of genus 1 and type {4,4}_50 isomorphic to its dual Automorphism group of order 200 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 21 and type {4,20}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 200 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^2*X*Y^-1*X^-2*Y^-5 ] Chiral map of genus 26 and type {8,8}_10 isomorphic to its mirror-dual Automorphism group of order 200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X*Y^-1*X^4*Y*X^-2*Y^-1 ] Chiral map of genus 41 and type {20,20}_10 isomorphic to its dual Automorphism group of order 200 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X*Y^-3*X*Y^-1*X^7*Y^-1*X*Y^-2*X*Y^-1*X ] .......................... Chiral maps with 102 edges .......................... Chiral map of genus 35 and type {12,12}_34 isomorphic to its dual Automorphism group of order 204 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2 ] .......................... Chiral maps with 104 edges .......................... Chiral map of genus 1 and type {4,4}_52 isomorphic to its dual Automorphism group of order 208 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^-2 ] Chiral map of genus 27 and type {8,8}_26 isomorphic to its dual Automorphism group of order 208 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 27 and type {8,8}_52 isomorphic to its dual Automorphism group of order 208 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 105 edges .......................... Chiral map of genus 29 and type {6,15}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 210 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 43 and type {15,30}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 210 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^2*Y^-2*X^8*Y^-1*X*Y^-1 ] .......................... Chiral maps with 106 edges .......................... Chiral map of genus 1 and type {4,4}_106 isomorphic to its dual Automorphism group of order 212 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X*Y^-1*X ] .......................... Chiral maps with 108 edges .......................... Chiral map of genus 25 and type {6,9}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, X*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y^2 ] Chiral map of genus 34 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-6*X^3*Y*X^-1*Y^-5 ] Chiral map of genus 28 and type {8,8}_6 isomorphic to its dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^2*X^4*Y^-2*X*Y ] Chiral map of genus 34 and type {9,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, Y^4*X^-2*Y^-3*X*Y ] Chiral map of genus 40 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y^-3*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 43 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^12 ] Chiral map of genus 46 and type {24,24}_6 isomorphic to its dual Automorphism group of order 216 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, Y^-1*X^6*Y^-1*X*Y^-1*X^2 ] .......................... Chiral maps with 110 edges .......................... Chiral map of genus 34 and type {10,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 220 with defining relations: [ (X*Y)^2, X^10, Y^-1*X^5*Y^-1*X*Y^-2 ] Chiral map of genus 34 and type {10,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 220 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^10, X*Y^-1*X^4*Y^-2*X*Y^-1 ] Chiral map of genus 51 and type {44,44}_10 isomorphic to its dual Automorphism group of order 220 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-3*X*Y^-1*X*Y^-1*X^9*Y^-1*X^3*Y^-1 ] .......................... Chiral maps with 111 edges .......................... Chiral map of genus 1 and type {3,6}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 222 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y ] .......................... Chiral maps with 112 edges .......................... Chiral map of genus 41 and type {14,14}_4 isomorphic to its mirror-dual Automorphism group of order 224 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^-14 ] Chiral map of genus 49 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 224 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^-10*Y*X^-1*Y^2 ] Chiral map of genus 49 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 224 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^12*X^-1*Y*X^-9*Y^2*X^-1 ] .......................... Chiral maps with 114 edges .......................... Chiral map of genus 20 and type {6,6}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 228 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^2*Y*X^-2 ] .......................... Chiral maps with 116 edges .......................... Chiral map of genus 1 and type {4,4}_58 isomorphic to its dual Automorphism group of order 232 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 117 edges .......................... Chiral map of genus 1 and type {3,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 234 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1 ] Chiral map of genus 40 and type {9,18}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 234 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2 ] .......................... Chiral maps with 120 edges .......................... Chiral map of genus 21 and type {4,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^12 ] Chiral map of genus 41 and type {8,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 41 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X^2*Y^-2*X*Y ] Chiral map of genus 41 and type {12,12}_20 isomorphic to its dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y^-1*X^2*Y ] Chiral map of genus 41 and type {12,12}_20 isomorphic to its dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 45 and type {15,15}_4 isomorphic to its mirror-dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^-1*Y^2*X^-9*Y*X^-1*Y ] Chiral map of genus 51 and type {24,24}_10 isomorphic to its dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^6*Y^-1*X*Y^-1*X^9*Y^-1*X^4 ] Chiral map of genus 51 and type {24,24}_20 isomorphic to its dual Automorphism group of order 240 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 122 edges .......................... Chiral map of genus 1 and type {4,4}_122 isomorphic to its dual Automorphism group of order 244 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y ] .......................... Chiral maps with 125 edges .......................... Chiral map of genus 46 and type {10,25}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 250 with defining relations: [ (X*Y)^2, Y^2*X^-3*Y^-1*X*Y^2 ] Chiral map of genus 46 and type {10,25}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 250 with defining relations: [ (X*Y)^2, X*Y^-2*X^-2*Y^-3*X ] .......................... Chiral maps with 126 edges .......................... Chiral map of genus 22 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 252 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^2*Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 22 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 252 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^-2*Y^3*X^-1*Y ] Chiral map of genus 50 and type {18,18}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 252 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y*X^-12*Y^5 ] .......................... Chiral maps with 128 edges .......................... Chiral map of genus 25 and type {4,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 256 with defining relations: [ (X*Y)^2, X^4, X*Y^-3*X^-1*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 41 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 256 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1, Y^2*X^-1*Y*X^2*Y^-2*X*Y ] Chiral map of genus 45 and type {8,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 256 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^-4*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 53 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 256 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y*X^3*Y^-5 ] .......................... Chiral maps with 129 edges .......................... Chiral map of genus 1 and type {3,6}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 258 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 130 edges .......................... Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 260 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 260 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 53 and type {20,20}_26 isomorphic to its dual Automorphism group of order 260 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2 ] Chiral map of genus 61 and type {52,52}_10 isomorphic to its dual Automorphism group of order 260 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^-1*Y*X^-3*Y*X^-9*Y*X^-1*Y^3*X^-1*Y ] .......................... Chiral maps with 135 edges .......................... Chiral map of genus 43 and type {6,45}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 270 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^7*X*Y^-1*X*Y*X^-1*Y^-4*X*Y^2 ] Chiral map of genus 61 and type {30,45}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 270 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^-1*Y*X^-1*Y*X^-8*Y^3 ] .......................... Chiral maps with 136 edges .......................... Chiral map of genus 1 and type {4,4}_68 isomorphic to its dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 35 and type {8,8}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1 ] Chiral map of genus 35 and type {8,8}_34 isomorphic to its dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 35 and type {8,8}_68 isomorphic to its dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-2 ] Chiral map of genus 52 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, X*Y^-2*X^2*Y^-3 ] Chiral map of genus 52 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 272 with defining relations: [ (X*Y)^2, Y^-3*X^2*Y^-1*X*Y^-1 ] .......................... Chiral maps with 140 edges .......................... Chiral map of genus 31 and type {4,28}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 280 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^5*X*Y^-2*X^2*Y^-1*X*Y^6 ] Chiral map of genus 61 and type {28,28}_10 isomorphic to its dual Automorphism group of order 280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^4*X^-1*Y*X^-3*Y*X^-9*Y*X^-1*Y^3*X^-1*Y^2 ] Chiral map of genus 63 and type {35,35}_4 isomorphic to its mirror-dual Automorphism group of order 280 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X^-22*Y^2*X^-10*Y ] .......................... Chiral maps with 144 edges .......................... Chiral map of genus 19 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 288 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^-3*X^-1*Y*X^2*Y^4*X ] Chiral map of genus 37 and type {8,8}_12 isomorphic to its dual Automorphism group of order 288 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X^-3*Y*X^2*Y^4*X^-1, Y*X*Y^-1*X^-4*Y^-1*X^3*Y ] Chiral map of genus 55 and type {16,16}_6 isomorphic to its dual Automorphism group of order 288 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y*X^-1*Y^2, X^16 ] Chiral map of genus 55 and type {16,16}_12 isomorphic to its dual Automorphism group of order 288 with defining relations: [ (X*Y)^2, Y^-2*X^3*Y^-1*X*Y^-1 ] .......................... Chiral maps with 146 edges .......................... Chiral map of genus 1 and type {4,4}_146 isomorphic to its dual Automorphism group of order 292 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1 ] .......................... Chiral maps with 147 edges .......................... Chiral map of genus 1 and type {3,6}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 294 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2 ] Chiral map of genus 43 and type {6,21}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 294 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^3*X*Y^-1*X^3*Y*X^-2*Y^2 ] Chiral map of genus 64 and type {21,42}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 294 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^12*Y^-1*X*Y^-2*X*Y^-3*X ] .......................... Chiral maps with 148 edges .......................... Chiral map of genus 1 and type {4,4}_74 isomorphic to its dual Automorphism group of order 296 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 150 edges .......................... Chiral map of genus 51 and type {12,12}_10 isomorphic to its dual Automorphism group of order 300 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, Y^-2*X^4*Y*X^-1*Y^-2 ] Chiral map of genus 51 and type {12,12}_50 isomorphic to its dual Automorphism group of order 300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-2*Y^2*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 71 and type {60,60}_10 isomorphic to its dual Automorphism group of order 300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^6*X^-1*Y*X^-3*Y*X^-9*Y*X^-1*Y^3*X^-1*Y*X^-1 ] .......................... Chiral maps with 155 edges .......................... Chiral map of genus 32 and type {5,10}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 310 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^2*X*Y^-2*X^-1*Y^4*X^-1 ] Chiral map of genus 32 and type {5,10}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 310 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] .......................... Chiral maps with 156 edges .......................... Chiral map of genus 1 and type {3,6}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 27 and type {4,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 40 and type {6,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 40 and type {6,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-2 ] Chiral map of genus 53 and type {12,12}_26 isomorphic to its dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 53 and type {12,12}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 53 and type {12,12}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 312 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X^12 ] .......................... Chiral maps with 160 edges .......................... Chiral map of genus 1 and type {4,4}_40 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 21 and type {4,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, Y^8, (Y^-1*X)^5, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 21 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 21 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 31 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^2 ] Chiral map of genus 31 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^16 ] Chiral map of genus 41 and type {8,8}_10 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-1*X^3*Y^-3*X ] Chiral map of genus 41 and type {8,8}_20 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 41 and type {8,8}_40 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 41 and type {8,8}_40 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 41 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 41 and type {8,8}_40 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 51 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 51 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 61 and type {16,16}_20 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^3*X^-9*Y^3 ] Chiral map of genus 61 and type {16,16}_20 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 61 and type {16,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 71 and type {32,32}_10 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^14*X^-11*Y*X^-3*Y^3 ] Chiral map of genus 71 and type {32,32}_20 isomorphic to its dual Automorphism group of order 320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^3*X^-7*Y^2*X^-1*Y*X^-1 ] .......................... Chiral maps with 162 edges .......................... Chiral map of genus 46 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 324 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y*X*Y^-1*X^2*Y^-4 ] Chiral map of genus 52 and type {6,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 324 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^9*X*Y^-1*X^2*Y^-3*X*Y^5 ] Chiral map of genus 64 and type {18,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 324 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X*Y^-2*X*Y^-2*X^12 ] .......................... Chiral maps with 164 edges .......................... Chiral map of genus 1 and type {4,4}_82 isomorphic to its dual Automorphism group of order 328 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 42 and type {8,8}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 328 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^2*Y^-4*X^4*Y^-1*X ] .......................... Chiral maps with 165 edges .......................... Chiral map of genus 56 and type {10,15}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 330 with defining relations: [ (X*Y)^2, X^-5*Y^-1*X*Y^2 ] Chiral map of genus 56 and type {10,15}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 330 with defining relations: [ (X*Y)^2, Y^-3*X^-2*Y^-1*X*Y^-1*X ] Chiral map of genus 67 and type {15,30}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 330 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X^-3*Y*X^-9*Y*X^-1 ] Chiral map of genus 67 and type {15,30}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 330 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-5*Y*X^-4*Y*X^-4 ] .......................... Chiral maps with 168 edges .......................... Chiral map of genus 15 and type {3,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^3*X^-1*Y ] Chiral map of genus 29 and type {6,6}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^-1*X ] Chiral map of genus 43 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y*X*Y^-1*X*Y^-3*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 50 and type {6,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X*Y^4 ] Chiral map of genus 50 and type {6,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^-2*X^2*Y^-1*X^2*Y^-5 ] Chiral map of genus 57 and type {12,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^12 ] Chiral map of genus 64 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, X^2*Y^-1*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 64 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, X^-1*Y^3*X^2*Y^2*X^-1*Y ] Chiral map of genus 65 and type {14,21}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^-1*X^-5*Y*X^-3*Y^-1 ] Chiral map of genus 73 and type {21,42}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X*Y^-1*X*Y^-4*X*Y^-1*X^8*Y^-4 ] Chiral map of genus 71 and type {24,24}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-2*X*Y^-1*X*Y^-1*X*Y^-2*X^8*Y^-2*X*Y^-2*X^2 ] Chiral map of genus 71 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^6*Y^-5 ] Chiral map of genus 77 and type {42,42}_4 isomorphic to its mirror-dual Automorphism group of order 336 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^25*X^-1*Y*X^-11*Y*X^-1 ] .......................... Chiral maps with 170 edges .......................... Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 340 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-2 ] Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 340 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 69 and type {20,20}_34 isomorphic to its dual Automorphism group of order 340 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^-1 ] Chiral map of genus 81 and type {68,68}_10 isomorphic to its dual Automorphism group of order 340 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y*X^-8*Y*X^-2*Y*X^-11*Y*X^-3*Y^5 ] .......................... Chiral maps with 171 edges .......................... Chiral map of genus 1 and type {3,6}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 58 and type {9,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 58 and type {9,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, X^-9, X^-1*Y*X^-3*Y^3*X^-1 ] Chiral map of genus 58 and type {9,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-9, X^-2*Y*X^-2*Y^2*X^-1*Y ] Chiral map of genus 58 and type {9,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 342 with defining relations: [ (X*Y)^2, X^-9, Y^3*X^-2*Y*X^-1*Y^2 ] .......................... Chiral maps with 174 edges .......................... Chiral map of genus 59 and type {12,12}_58 isomorphic to its dual Automorphism group of order 348 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^2 ] .......................... Chiral maps with 178 edges .......................... Chiral map of genus 1 and type {4,4}_178 isomorphic to its dual Automorphism group of order 356 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^2*Y^-1 ] .......................... Chiral maps with 180 edges .......................... Chiral map of genus 1 and type {4,4}_30 isomorphic to its dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X ] Chiral map of genus 41 and type {4,36}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^-10*X*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-4 ] Chiral map of genus 61 and type {12,12}_30 isomorphic to its dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X^2*Y^-2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 61 and type {12,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^12 ] Chiral map of genus 81 and type {36,36}_10 isomorphic to its dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^9*X^-2*Y*X^-3*Y^2*X^-8*Y*X^-3*Y^5 ] Chiral map of genus 82 and type {40,40}_6 isomorphic to its dual Automorphism group of order 360 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-2*Y^2*X^-13*Y*X^-2 ] .......................... Chiral maps with 182 edges .......................... Chiral map of genus 79 and type {28,28}_26 isomorphic to its dual Automorphism group of order 364 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X*Y^-1*X^6*Y^-1*X*Y^-2*X*Y^-1 ] .......................... Chiral maps with 183 edges .......................... Chiral map of genus 1 and type {3,6}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 366 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2 ] .......................... Chiral maps with 186 edges .......................... Chiral map of genus 32 and type {6,6}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 372 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-2*Y*X^-2*Y*X^3*Y*X^-1*Y*X^-2*Y*X^-2 ] .......................... Chiral maps with 189 edges .......................... Chiral map of genus 1 and type {3,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 43 and type {6,9}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 43 and type {6,9}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 43 and type {6,9}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, Y^2*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2 ] Chiral map of genus 61 and type {6,63}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-11*X^2*Y^-1*X*Y^4*X^-1*Y^-5 ] Chiral map of genus 64 and type {9,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, Y^2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 85 and type {27,54}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^-1*X*Y^-1*X*Y^-3*X*Y^-2*X^11*Y^-1*X*Y^-4 ] Chiral map of genus 88 and type {42,63}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 378 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-1*X^3*Y^-2*X*Y^-2*X^8*Y^-1*X^2*Y^-1 ] .......................... Chiral maps with 190 edges .......................... Chiral map of genus 91 and type {76,76}_10 isomorphic to its dual Automorphism group of order 380 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-1*X^11*Y^-1*X*Y^-3*X^3*Y^-1*X^10*Y^-2*X^2*Y^-1*X ] .......................... Chiral maps with 192 edges .......................... Chiral map of genus 17 and type {4,6}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^4, Y^6, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4 ] Chiral map of genus 33 and type {6,6}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^2*Y*X^-1*Y, (X*Y^-1*X)^4 ] Chiral map of genus 33 and type {6,6}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^6, Y^-1*X^2*Y^-1*X^-2*Y^3*X ] Chiral map of genus 41 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-1)^4, X*Y^-3*X^-2*Y*X^-1*Y^-1*X^2*Y^-1, Y^3*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 49 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-2, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y ] Chiral map of genus 49 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-2, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 65 and type {12,12}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^12, Y^-1*X^6*Y^-5, X*Y^-1*X*Y^-1*X^3*Y^-3*X*Y^-1 ] Chiral map of genus 65 and type {12,12}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-1*X^6*Y^-5, X^2*Y^-2*X^3*Y^-1*X*Y^3 ] Chiral map of genus 65 and type {12,12}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-2, Y*X^-1*Y*X^3*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {16,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^-5*X^2*Y^-1*X^-2*Y^-6 ] Chiral map of genus 89 and type {48,48}_8 isomorphic to its dual Automorphism group of order 384 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X^6*Y^-1*X^2*Y^-2 ] .......................... Chiral maps with 194 edges .......................... Chiral map of genus 1 and type {4,4}_194 isomorphic to its dual Automorphism group of order 388 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 195 edges .......................... Chiral map of genus 53 and type {6,15}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 390 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^2 ] Chiral map of genus 79 and type {15,30}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 390 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^-15 ] .......................... Chiral maps with 196 edges .......................... Chiral map of genus 91 and type {49,49}_4 isomorphic to its mirror-dual Automorphism group of order 392 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-33*X^12*Y^-1 ] .......................... Chiral maps with 200 edges .......................... Chiral map of genus 1 and type {4,4}_100 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 41 and type {4,20}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^20 ] Chiral map of genus 51 and type {8,8}_4 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, (X*Y^-1)^4, X^-2*Y^-4*X^4*Y^2 ] Chiral map of genus 51 and type {8,8}_10 isomorphic to its mirror-dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-2*Y^-4*X^4*Y^-2 ] Chiral map of genus 51 and type {8,8}_50 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 51 and type {8,8}_100 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 71 and type {8,40}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, X^-1*Y^2*X*Y^-2*X^2*Y^-6 ] Chiral map of genus 71 and type {8,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^6*X^2*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 81 and type {20,20}_20 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X^3*Y^-3*X*Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-2 ] Chiral map of genus 91 and type {40,40}_10 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^13*Y^-1*X*Y^-3*X^3*Y^-1*X^9*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 91 and type {40,40}_20 isomorphic to its dual Automorphism group of order 400 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X*Y^-3*X*Y^-1*X^5*Y^-1*X*Y^-1*X*Y^-2*X ] .......................... Chiral maps with 201 edges .......................... Chiral map of genus 1 and type {3,6}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 402 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y ] .......................... Chiral maps with 202 edges .......................... Chiral map of genus 1 and type {4,4}_202 isomorphic to its dual Automorphism group of order 404 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 203 edges .......................... Chiral map of genus 59 and type {7,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 406 with defining relations: [ (X*Y)^2, X^7, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X*Y^-1*X^-3*Y^4*X^-1 ] Chiral map of genus 59 and type {7,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 406 with defining relations: [ (X*Y)^2, X^7, Y*X*Y^-1*X^2*Y*X^-1*Y ] Chiral map of genus 59 and type {7,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 406 with defining relations: [ (X*Y)^2, X^7, Y*X*Y^-1*X^-3*Y*X^-3*Y ] .......................... Chiral maps with 204 edges .......................... Chiral map of genus 35 and type {4,12}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 408 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 69 and type {12,12}_34 isomorphic to its dual Automorphism group of order 408 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 86 and type {24,24}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 408 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y^-1*X^6*Y^-2*X^3 ] .......................... Chiral maps with 205 edges .......................... Chiral map of genus 42 and type {5,10}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 410 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-2*X^2 ] Chiral map of genus 42 and type {5,10}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 410 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y^-3 ] .......................... Chiral maps with 208 edges .......................... Chiral map of genus 1 and type {4,4}_52 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 27 and type {4,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 27 and type {4,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 53 and type {8,8}_52 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 53 and type {8,8}_52 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 79 and type {16,16}_26 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-3*X*Y^-1*X^8*Y^-2*X ] Chiral map of genus 79 and type {16,16}_52 isomorphic to its dual Automorphism group of order 416 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 210 edges .......................... Chiral map of genus 64 and type {6,30}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 420 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^3*X*Y^-2*X*Y^3*X^-2*Y^2 ] Chiral map of genus 64 and type {6,30}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 420 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1, Y^5*X*Y^-1*X^3*Y*X^-2*Y^3 ] Chiral map of genus 92 and type {30,30}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 420 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^5*Y^-1*X*Y^-1*X^3*Y^-2*X^10*Y^-1*X*Y^-2*X*Y^-1*X ] Chiral map of genus 101 and type {84,84}_10 isomorphic to its dual Automorphism group of order 420 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^15*Y^-1*X*Y^-3*X^3*Y^-1*X^9*Y^-1*X^2*Y^-1*X*Y^-1*X^2 ] .......................... Chiral maps with 212 edges .......................... Chiral map of genus 1 and type {4,4}_106 isomorphic to its dual Automorphism group of order 424 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 216 edges .......................... Chiral map of genus 10 and type {3,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^3, Y^8, Y*X^-1*Y^3*X^-1*Y^2*X^2*Y^-3*X*Y^-2*X*Y ] Chiral map of genus 28 and type {4,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^4, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X*Y^4*X^-1 ] Chiral map of genus 46 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^2*X*Y^-5*X^2*Y^-2*X*Y^3 ] Chiral map of genus 46 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^6, Y^8, Y^-1*X^2*Y^-1*X^-2*Y^4*X, (Y*X^-1*Y)^3 ] Chiral map of genus 61 and type {6,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 70 and type {6,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^12*X^2*Y*X^-2*Y^11 ] Chiral map of genus 55 and type {8,8}_6 isomorphic to its dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y^-4*X^-2*Y^-1*X*Y^3 ] Chiral map of genus 64 and type {8,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y^-2*X^2 ] Chiral map of genus 64 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 64 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-1*X ] Chiral map of genus 73 and type {8,24}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^3*X^3*Y^-1*X*Y^2 ] Chiral map of genus 67 and type {9,12}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, (X*Y^-5)^2, Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 76 and type {9,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, X*Y^-3*X^-2*Y^5 ] Chiral map of genus 79 and type {12,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, Y*X*Y^-1*X^5*Y*X^-2*Y^3 ] Chiral map of genus 79 and type {12,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-2*Y^-1 ] Chiral map of genus 82 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^-1*Y^2*X^2*Y^3*X^-1 ] Chiral map of genus 85 and type {12,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, X^-1*Y^6*X^-2*Y^4*X^-1*Y^-2 ] Chiral map of genus 88 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, X*Y^-6*X^2*Y^-1*X*Y^5 ] Chiral map of genus 88 and type {18,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, Y^2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y, Y^-5*X^-2*Y^-3*X*Y^-2 ] Chiral map of genus 88 and type {18,24}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^-2*X^2*Y^-1*X^2*Y^-5 ] Chiral map of genus 91 and type {24,24}_6 isomorphic to its dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y*X^-1*Y^2, X^-1*Y^4*X^-5*Y*X^-2*Y*X^-6*Y*X^-1*Y*X^-1 ] Chiral map of genus 94 and type {24,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y^-3*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 97 and type {24,72}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^3*X^-1*Y^3*X^-1*Y^2*X^-9*Y*X^-2*Y*X^-1 ] Chiral map of genus 97 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 432 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^2*Y^-1*X^4*Y^-5 ] .......................... Chiral maps with 218 edges .......................... Chiral map of genus 1 and type {4,4}_218 isomorphic to its dual Automorphism group of order 436 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 219 edges .......................... Chiral map of genus 1 and type {3,6}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 438 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 220 edges .......................... Chiral map of genus 51 and type {4,44}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^11*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^4 ] Chiral map of genus 78 and type {10,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X*Y^-2*X^2*Y^-3*X ] Chiral map of genus 78 and type {10,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^10, Y^-2*X^4*Y^-1*X^2*Y^-1 ] Chiral map of genus 78 and type {10,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^10, Y^-1*X*Y^-1*X^3*Y^-4 ] Chiral map of genus 78 and type {10,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, X*Y^-1*X*Y^-1*X^2*Y^-4 ] Chiral map of genus 89 and type {20,20}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y^3*X^-2*Y^2*X^-11*Y*X^-1 ] Chiral map of genus 89 and type {20,20}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-1*Y*X^-4*Y^2*X^-10*Y*X^-1 ] Chiral map of genus 101 and type {44,44}_10 isomorphic to its dual Automorphism group of order 440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^2*Y^-13*X^3*Y^-5*X^11*Y^-1*X*Y^-1*X^3*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 222 edges .......................... Chiral map of genus 38 and type {6,6}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 444 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-2*X^2 ] Chiral map of genus 75 and type {12,12}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 444 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, Y^-2*X^5*Y^-1*X^3*Y^-1 ] Chiral map of genus 75 and type {12,12}_74 isomorphic to its dual Automorphism group of order 444 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 224 edges .......................... Chiral map of genus 89 and type {14,28}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 448 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-2*Y^2, X^14 ] Chiral map of genus 97 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 448 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^9*X^-2*Y*X^-9*Y*X^-1*Y ] Chiral map of genus 105 and type {56,56}_4 isomorphic to its mirror-dual Automorphism group of order 448 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^9*X^-2*Y*X^-8*Y*X^-3 ] Chiral map of genus 105 and type {56,56}_4 isomorphic to its mirror-dual Automorphism group of order 448 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X*Y^-1*X^38*Y^-2*X^14 ] .......................... Chiral maps with 226 edges .......................... Chiral map of genus 1 and type {4,4}_226 isomorphic to its dual Automorphism group of order 452 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-2 ] .......................... Chiral maps with 228 edges .......................... Chiral map of genus 1 and type {3,6}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 456 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y ] Chiral map of genus 58 and type {6,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 456 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, Y^-1*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y*X^-1*Y^-1 ] Chiral map of genus 58 and type {6,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 456 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, X^-1*Y*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^-1 ] Chiral map of genus 77 and type {12,12}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 456 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^2 ] .......................... Chiral maps with 230 edges .......................... Chiral map of genus 111 and type {92,92}_10 isomorphic to its dual Automorphism group of order 460 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-25*X^10*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-2 ] .......................... Chiral maps with 231 edges .......................... Chiral map of genus 71 and type {6,33}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 462 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1, X*Y^-6*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 106 and type {33,66}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 462 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^4*X^-3*Y*X^-2*Y*X^-1*Y*X^-1*Y*X^-10*Y^4*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 232 edges .......................... Chiral map of genus 1 and type {4,4}_116 isomorphic to its dual Automorphism group of order 464 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 59 and type {8,8}_58 isomorphic to its dual Automorphism group of order 464 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-2*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 59 and type {8,8}_116 isomorphic to its dual Automorphism group of order 464 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] .......................... Chiral maps with 234 edges .......................... Chiral map of genus 1 and type {4,4}_78 isomorphic to its dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^2*Y^2*X ] Chiral map of genus 40 and type {6,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-2*Y ] Chiral map of genus 40 and type {6,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^2*Y^2*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 92 and type {18,18}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X*Y^-3*X^11*Y^-3 ] Chiral map of genus 105 and type {36,36}_26 isomorphic to its dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-4*X^6*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 105 and type {36,36}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 468 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X*Y^-1*X*Y^-1*X^13*Y^-1 ] .......................... Chiral maps with 237 edges .......................... Chiral map of genus 1 and type {3,6}_158 not isomorphic to its dual or mirror-dual Automorphism group of order 474 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-1 ] .......................... Chiral maps with 238 edges .......................... Chiral map of genus 103 and type {28,28}_34 isomorphic to its dual Automorphism group of order 476 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^6*Y^-2*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 240 edges .......................... Chiral map of genus 41 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^3*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 41 and type {4,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 51 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^24 ] Chiral map of genus 51 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 65 and type {6,15}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^3*Y^2, X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1 ] Chiral map of genus 71 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^12 ] Chiral map of genus 71 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^12 ] Chiral map of genus 81 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y*X*Y^-2*X*Y*X^-1*Y^-6 ] Chiral map of genus 81 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^-2*X^-1*Y*X*Y^-2*X*Y*X^-1*Y^-6 ] Chiral map of genus 81 and type {12,12}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-2*X^5*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 81 and type {12,12}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 91 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 91 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 97 and type {15,30}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-1*Y, X^-15 ] Chiral map of genus 101 and type {16,48}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-1*Y^3*X^-9*Y^3 ] Chiral map of genus 101 and type {16,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^2*Y^-2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 101 and type {24,24}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 101 and type {24,24}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^3*X^-1*Y*X^-9*Y^7*X^-1*Y ] Chiral map of genus 101 and type {24,24}_40 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^5*Y^-1*X^2*Y ] Chiral map of genus 101 and type {24,24}_40 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-2, X^7*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 105 and type {30,30}_4 isomorphic to its mirror-dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^-2*Y^14*X^-11*Y^2*X^-1 ] Chiral map of genus 111 and type {48,48}_10 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^21*Y^-1*X*Y^-6*X^9*Y^-2*X*Y^-3*X*Y^-1*X*Y^-1 ] Chiral map of genus 111 and type {48,48}_20 isomorphic to its dual Automorphism group of order 480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-2*Y^2*X^-1*Y*X^-9*Y^9 ] .......................... Chiral maps with 243 edges .......................... Chiral map of genus 28 and type {3,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, X^3, (Y^2*X^-1*Y^2)^3, Y*X*Y^-2*X^-1*Y^3*X^-1*Y^-4*X*Y^2 ] Chiral map of genus 55 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-9, X*Y^-1*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^2 ] Chiral map of genus 79 and type {6,81}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-14*X^2*Y^-1*X*Y^4*X^-1*Y^-8 ] Chiral map of genus 82 and type {9,18}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, (Y*X^-1*Y)^3, Y^2*X*Y^-5*X^-2*Y^5 ] Chiral map of genus 82 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, X^-1*Y*X*Y^-1*X^-2*Y^-2*X*Y^-2, Y^2*X*Y^-5*X^-2*Y^5 ] Chiral map of genus 82 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^-9, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, X^-1*Y*X*Y^-5*X^-1*Y^6 ] Chiral map of genus 100 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y*X^-4*Y^2*X^-2 ] Chiral map of genus 100 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^-2*Y^3*X^-1 ] Chiral map of genus 100 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y^2*X^-3*Y*X^-1*Y^2 ] Chiral map of genus 100 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^4*X^-3*Y^-1*X*Y^4 ] Chiral map of genus 109 and type {27,54}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 486 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-10*Y^4 ] .......................... Chiral maps with 244 edges .......................... Chiral map of genus 1 and type {4,4}_122 isomorphic to its dual Automorphism group of order 488 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 246 edges .......................... Chiral map of genus 83 and type {12,12}_82 isomorphic to its dual Automorphism group of order 492 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^2*Y^-2*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^2 ] .......................... Chiral maps with 250 edges .......................... Chiral map of genus 1 and type {4,4}_50 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^2*Y^2*X^2*Y ] Chiral map of genus 1 and type {4,4}_250 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 96 and type {10,50}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y*X*Y^-3*X^3*Y^6 ] Chiral map of genus 96 and type {10,50}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-6 ] Chiral map of genus 101 and type {20,20}_10 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-1*X^3*Y^-3*X, X^-2*Y^2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 101 and type {20,20}_50 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-2 ] Chiral map of genus 101 and type {20,20}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, X^6*Y^-2*X*Y^-1 ] Chiral map of genus 101 and type {20,20}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, Y^-1*X^5*Y^-1*X^2*Y^-1 ] Chiral map of genus 121 and type {100,100}_10 isomorphic to its dual Automorphism group of order 500 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^21*Y^-2*X*Y^-1*X*Y^-3*X^11*Y^-2*X*Y^-3*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 252 edges .......................... Chiral map of genus 1 and type {3,6}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^-1 ] Chiral map of genus 22 and type {3,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^3, Y^12, (Y^2*X^-1*Y^2)^3, Y*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^3 ] Chiral map of genus 64 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-1*X^2*Y^-1*X^-3*Y^-1*X*Y^-3 ] Chiral map of genus 64 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 64 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y ] Chiral map of genus 64 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^12 ] Chiral map of genus 85 and type {9,18}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^-9, Y^2*X^-3*Y^4, Y*X*Y^-1*X*Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 85 and type {12,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, X^12, Y^-1*X^6*Y^-5 ] Chiral map of genus 85 and type {12,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^12, Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 106 and type {18,36}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-18 ] Chiral map of genus 106 and type {18,36}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^2*Y^-1*X^2*Y^-1*X^8*Y^-1*X^2*Y^-1 ] Chiral map of genus 113 and type {36,36}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^4*Y^-5*X^2*Y^-4*X^11*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 118 and type {56,56}_6 isomorphic to its dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-7*Y*X^-1*Y^3*X^-1*Y*X^-8*Y*X^-2*Y*X^-2 ] Chiral map of genus 119 and type {63,63}_4 isomorphic to its mirror-dual Automorphism group of order 504 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^42*X^-1*Y*X^-12*Y^5 ] .......................... Chiral maps with 253 edges .......................... Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, X^-11, Y*X^-5*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-11, Y*X^-5*Y*X^-2*Y^2 ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, X^-11 ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, X^-11 ] Chiral map of genus 93 and type {11,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 506 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^-11 ] .......................... Chiral maps with 256 edges .......................... Chiral map of genus 65 and type {8,8}_8 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y ] Chiral map of genus 65 and type {8,8}_8 isomorphic to its mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2 ] Chiral map of genus 65 and type {8,8}_16 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-2*X^3*Y*X^-1*Y^-2*X ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, X^-2*Y*X^3*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-3*X*Y^4 ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y ] Chiral map of genus 81 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-1*X^-1*Y^2*X^2*Y^-1*X*Y^-2 ] Chiral map of genus 93 and type {8,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^-8*X^2*Y^-2*X*Y*X^-1*Y^-5 ] Chiral map of genus 97 and type {16,16}_8 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X*Y^-1*X^5*Y*X^-1*Y^-2*X ] Chiral map of genus 97 and type {16,16}_8 isomorphic to its mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2 ] Chiral map of genus 97 and type {16,16}_16 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 97 and type {16,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1, X^-1*Y*X^6*Y^-2*X*Y^3 ] Chiral map of genus 105 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-2*Y^2, X^2*Y^-1*X^10*Y^-3 ] Chiral map of genus 105 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-4*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 105 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, X^16 ] Chiral map of genus 109 and type {16,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^-8*X^-3*Y^2*X^-1*Y^-6 ] Chiral map of genus 113 and type {32,32}_16 isomorphic to its dual Automorphism group of order 512 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X^4*Y*X^-2*Y^5 ] .......................... Chiral maps with 258 edges .......................... Chiral map of genus 44 and type {6,6}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 516 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y*X^-1*Y*X^-2 ] .......................... Chiral maps with 260 edges .......................... Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 53 and type {4,20}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-2*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 61 and type {4,52}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^13*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^6 ] Chiral map of genus 105 and type {20,20}_26 isomorphic to its dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-2*Y^2*X^-1*Y*X^-9*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 121 and type {52,52}_10 isomorphic to its dual Automorphism group of order 520 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-22*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y*X^-9*Y*X^-1*Y^3*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 270 edges .......................... Chiral map of genus 46 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, X^4, Y*X*Y^-3*X*Y^4, Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1 ] Chiral map of genus 88 and type {6,90}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^15*X^2*Y*X^-2*Y^14 ] Chiral map of genus 91 and type {12,12}_30 isomorphic to its dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 91 and type {12,12}_30 isomorphic to its dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, X^2*Y^-1*X^3*Y^2*X^-1*Y^-1, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 112 and type {18,30}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^2*X*Y^-3*X^2*Y^-3*X*Y^2 ] Chiral map of genus 124 and type {30,90}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y^3*X^3*Y^-1*X*Y^2, X^-1*Y*X^-1*Y*X^-1*Y^11*X^-12*Y*X^-1 ] Chiral map of genus 131 and type {108,108}_10 isomorphic to its dual Automorphism group of order 540 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^25*X^-2*Y^2*X^-1*Y^3*X^-1*Y^2*X^-9*Y*X^-1*Y^3*X^-1*Y^3 ] .......................... Chiral maps with 272 edges .......................... Chiral map of genus 1 and type {4,4}_68 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 35 and type {4,8}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 35 and type {4,8}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, Y*X^-1*Y^2*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 69 and type {8,8}_68 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X^2*Y^2*X^-2*Y^-1*X*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 69 and type {8,8}_68 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X*Y^-1*X*Y^-1 ] Chiral map of genus 69 and type {8,8}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-2*Y*X^-3*Y^4*X*Y^-1 ] Chiral map of genus 103 and type {16,16}_34 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X, X^16 ] Chiral map of genus 103 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, (X^-5*Y*X^-2)^2 ] Chiral map of genus 103 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^2*Y^-1*X^8*Y^-3*X^2 ] Chiral map of genus 103 and type {16,16}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-1*X^4*Y^2*X^-1*Y^2, X*Y^-1*X^9*Y^-2*X*Y^-1*X ] Chiral map of genus 103 and type {16,16}_68 isomorphic to its dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y^-2*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 103 and type {16,16}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 544 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-1*X^-1*Y*X^4*Y^-2*X*Y^-2 ] .......................... Chiral maps with 273 edges .......................... Chiral map of genus 1 and type {3,6}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 1 and type {3,6}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 79 and type {6,21}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 85 and type {6,39}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y, Y^-3*X^-1*Y*X*Y^-1*X^2*Y^-1*X^2*Y^-7 ] Chiral map of genus 118 and type {21,42}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^-3*Y*X^-2*Y*X^-10*Y*X^-2*Y ] Chiral map of genus 127 and type {39,78}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 546 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^16*X^-3*Y*X^-10*Y^2*X^-3*Y^3*X^-1 ] .......................... Chiral maps with 274 edges .......................... Chiral map of genus 1 and type {4,4}_274 isomorphic to its dual Automorphism group of order 548 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X ] .......................... Chiral maps with 275 edges .......................... Chiral map of genus 56 and type {5,10}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 550 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 56 and type {5,10}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 550 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-3*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 122 and type {25,50}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 550 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X^-1*Y^7*X^-1*Y*X^-1*Y*X^-10*Y*X^-2 ] Chiral map of genus 122 and type {25,50}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 550 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^6*X^-3*Y*X^-1*Y^2*X^-11*Y ] .......................... Chiral maps with 279 edges .......................... Chiral map of genus 1 and type {3,6}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 558 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 94 and type {9,18}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 558 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X^-1*Y^3*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 280 edges .......................... Chiral map of genus 61 and type {4,28}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^28 ] Chiral map of genus 101 and type {8,56}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^2*X*Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y^7 ] Chiral map of genus 101 and type {8,56}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^6*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 113 and type {14,35}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y^-1*X^-5*Y^3*X^-1*Y^-1 ] Chiral map of genus 121 and type {28,28}_20 isomorphic to its dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X*Y^-1*X^2*Y^-2*X*Y^-1*X^7*Y^-2*X*Y^-3*X*Y^-1*X^3 ] Chiral map of genus 129 and type {35,70}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^-2*Y*X^-18*Y*X^-11*Y^2 ] Chiral map of genus 131 and type {56,56}_10 isomorphic to its dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y*X^-26*Y^3*X^-1*Y^3*X^-1*Y^2*X^-8*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^3 ] Chiral map of genus 131 and type {56,56}_20 isomorphic to its dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X*Y^-3*X^2*Y^-1*X*Y^-1*X*Y^-1*X^6*Y^-2*X*Y^-3*X*Y^-1*X*Y^-2 ] Chiral map of genus 133 and type {70,70}_4 isomorphic to its mirror-dual Automorphism group of order 560 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X^-54*Y^2*X^-12*Y^2 ] .......................... Chiral maps with 285 edges .......................... Chiral map of genus 77 and type {6,15}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 570 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X^2*Y^-1*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 115 and type {15,30}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 570 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^3*X^-1*Y*X^-1*Y^-2 ] .......................... Chiral maps with 286 edges .......................... Chiral map of genus 131 and type {44,44}_26 isomorphic to its dual Automorphism group of order 572 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-2*Y*X^-1*Y^3*X^-1*Y*X^-6*Y^2*X^-1*Y*X^-2*Y ] .......................... Chiral maps with 288 edges .......................... Chiral map of genus 37 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 55 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^16 ] Chiral map of genus 55 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^4, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 49 and type {6,6}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-1)^4, Y*X^-2*Y*X^3*Y^3*X^-1*Y ] Chiral map of genus 49 and type {6,6}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y^2*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X*Y ] Chiral map of genus 73 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X^-2*Y*X*Y^-1*X^-2*Y^-1*X^3*Y ] Chiral map of genus 73 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1 ] Chiral map of genus 73 and type {8,8}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-2*Y^4*X ] Chiral map of genus 73 and type {8,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1 ] Chiral map of genus 91 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y*X*Y^-3*X^2*Y^-1*X*Y^3 ] Chiral map of genus 91 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3 ] Chiral map of genus 109 and type {16,16}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^16 ] Chiral map of genus 109 and type {16,16}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, X^2*Y^-1*X^4*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 109 and type {16,16}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, (X*Y^-2*X)^2, X^2*Y^-1*X^4*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 113 and type {18,18}_8 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y^3*X^-2, X^-2*Y*X^-3*Y*X^-4*Y^4*X^-1*Y^2 ] Chiral map of genus 127 and type {32,32}_6 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, Y^-1*X^8*Y^-1*X^5*Y^-1*X^9*Y^-1*X^3*Y^-2*X ] Chiral map of genus 127 and type {32,32}_12 isomorphic to its dual Automorphism group of order 576 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^11*Y^-1*X*Y^-3 ] .......................... Chiral maps with 290 edges .......................... Chiral map of genus 1 and type {4,4}_290 isomorphic to its dual Automorphism group of order 580 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 1 and type {4,4}_290 isomorphic to its dual Automorphism group of order 580 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2 ] Chiral map of genus 117 and type {20,20}_58 isomorphic to its dual Automorphism group of order 580 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 141 and type {116,116}_10 isomorphic to its dual Automorphism group of order 580 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^29*X^-2*Y^2*X^-1*Y^3*X^-1*Y^2*X^-8*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^3 ] .......................... Chiral maps with 291 edges .......................... Chiral map of genus 1 and type {3,6}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 582 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 292 edges .......................... Chiral map of genus 1 and type {4,4}_146 isomorphic to its dual Automorphism group of order 584 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 74 and type {8,8}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 584 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X*Y^-1*X^-1*Y*X^3*Y^-1*X^2*Y^2 ] .......................... Chiral maps with 294 edges .......................... Chiral map of genus 50 and type {6,6}_14 isomorphic to its dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X*Y^-1*X^-2*Y*X^2*Y^3*X*Y^-1 ] Chiral map of genus 50 and type {6,6}_14 isomorphic to its mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 50 and type {6,6}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 92 and type {6,42}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-1*Y, Y^-3*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-7 ] Chiral map of genus 92 and type {6,42}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^-6*X^2*Y^-1*X^2*Y^-7 ] Chiral map of genus 99 and type {12,12}_14 isomorphic to its mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1 ] Chiral map of genus 134 and type {42,42}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 588 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^-1*Y*X^-1*Y^14*X^-2*Y^4*X^-9*Y*X^-1*Y^2*X^-2*Y*X^-1*Y*X^-1 ] .......................... Chiral maps with 296 edges .......................... Chiral map of genus 1 and type {4,4}_148 isomorphic to its dual Automorphism group of order 592 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 75 and type {8,8}_74 isomorphic to its dual Automorphism group of order 592 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^2*X^-2*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 75 and type {8,8}_148 isomorphic to its dual Automorphism group of order 592 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-2*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] .......................... Chiral maps with 297 edges .......................... Chiral map of genus 97 and type {6,99}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 594 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-17*X^3*Y*X^-1*Y^-15 ] Chiral map of genus 142 and type {66,99}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 594 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y*X^-11*Y*X^-1*Y^2*X^-1*Y^2*X^-9*Y^2*X^-2*Y ] .......................... Chiral maps with 298 edges .......................... Chiral map of genus 1 and type {4,4}_298 isomorphic to its dual Automorphism group of order 596 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] .......................... Chiral maps with 300 edges .......................... Chiral map of genus 51 and type {4,12}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1, X*Y^-4*X^-1*Y^2*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 51 and type {4,12}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 71 and type {4,60}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^15*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^8 ] Chiral map of genus 101 and type {12,12}_10 isomorphic to its dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-1*X*Y^-3, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X*Y^-3*X^3*Y^-2*X*Y^-1*X ] Chiral map of genus 101 and type {12,12}_50 isomorphic to its dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 111 and type {12,20}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, X^-1*Y*X*Y^-2*X^3*Y*X^-1*Y^-6 ] Chiral map of genus 121 and type {12,60}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, Y^4*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 131 and type {20,60}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-7*Y*X^-2*Y ] Chiral map of genus 126 and type {24,24}_10 isomorphic to its mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, X*Y^-1*X^5*Y^-1*X^3*Y^-1 ] Chiral map of genus 126 and type {24,24}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^8*Y^-2*X*Y^-1 ] Chiral map of genus 141 and type {60,60}_10 isomorphic to its dual Automorphism group of order 600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^29*X^-2*Y^2*X^-1*Y^3*X^-1*Y^2*X^-8*Y*X^-1*Y^3*X^-1*Y^3*X^-1 ] .......................... Chiral maps with 301 edges .......................... Chiral map of genus 87 and type {7,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 602 with defining relations: [ (X*Y)^2, X^7, Y^3*X^-3*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 87 and type {7,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 602 with defining relations: [ (X*Y)^2, X^7, X^-2*Y*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 87 and type {7,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 602 with defining relations: [ (X*Y)^2, X^7, Y*X*Y^-1*X^3*Y*X^-2*Y ] .......................... Chiral maps with 305 edges .......................... Chiral map of genus 62 and type {5,10}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 610 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 62 and type {5,10}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 610 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-2*X*Y^-3 ] .......................... Chiral maps with 306 edges .......................... Chiral map of genus 1 and type {4,4}_102 isomorphic to its dual Automorphism group of order 612 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 137 and type {36,36}_34 isomorphic to its dual Automorphism group of order 612 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X, Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^4*Y^-2*X*Y^-2*X ] .......................... Chiral maps with 308 edges .......................... Chiral map of genus 147 and type {77,77}_4 isomorphic to its mirror-dual Automorphism group of order 616 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^58*X^-1*Y*X^-15 ] .......................... Chiral maps with 309 edges .......................... Chiral map of genus 1 and type {3,6}_206 not isomorphic to its dual or mirror-dual Automorphism group of order 618 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y ] .......................... Chiral maps with 310 edges .......................... Chiral map of genus 94 and type {10,10}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 620 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, X^-2*Y*X^3*Y*X^-1*Y^-2 ] Chiral map of genus 94 and type {10,10}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 620 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^10, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 151 and type {124,124}_10 isomorphic to its dual Automorphism group of order 620 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^33*X^-2*Y^2*X^-1*Y^3*X^-1*Y^2*X^-9*Y*X^-3*Y^4*X^-1 ] .......................... Chiral maps with 312 edges .......................... Chiral map of genus 27 and type {3,12}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 53 and type {4,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 53 and type {6,6}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X^-1*Y*X^-3*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y*X^-1 ] Chiral map of genus 79 and type {6,12}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 92 and type {6,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-4*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y^-1 ] Chiral map of genus 92 and type {6,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-2*X^2*Y^-1*X^2*Y^-5, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 105 and type {8,24}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 105 and type {8,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-2*X ] Chiral map of genus 105 and type {12,12}_52 isomorphic to its dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^-1, X^12 ] Chiral map of genus 105 and type {12,12}_52 isomorphic to its dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X^2*Y*X^-1 ] Chiral map of genus 105 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^12, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y ] Chiral map of genus 105 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, X^-2*Y*X^5*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 105 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^12, Y^-1*X^6*Y^-3*X^2 ] Chiral map of genus 118 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-1*Y*X^2*Y^-1*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 118 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y^-3*X^4*Y*X^-2*Y^-2, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-2 ] Chiral map of genus 131 and type {24,24}_26 isomorphic to its dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-1*Y^2*X^-1*Y^3*X^-1*Y^2*X^-8*Y^2*X^-1*Y^3 ] Chiral map of genus 131 and type {24,24}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, Y^-2*X*Y^-1*X*Y^-2*X^10*Y^-2*X*Y^-1*X*Y^-2 ] Chiral map of genus 131 and type {24,24}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-10*Y^3 ] Chiral map of genus 131 and type {24,24}_52 isomorphic to its dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 131 and type {24,24}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X^6*Y^-5, Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 131 and type {24,24}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 624 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^6*Y*X^-2*Y^2, X*Y^-1*X^5*Y^-1*X^2*Y^-2 ] .......................... Chiral maps with 314 edges .......................... Chiral map of genus 1 and type {4,4}_314 isomorphic to its dual Automorphism group of order 628 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 315 edges .......................... Chiral map of genus 85 and type {6,15}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 630 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y^2, Y^-15 ] Chiral map of genus 127 and type {15,30}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 630 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 134 and type {18,45}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 630 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^-2*Y*X^-4*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 148 and type {45,90}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 630 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^18*X^-1*Y^6*X^-1*Y*X^-9*Y*X^-3*Y^4*X^-1 ] .......................... Chiral maps with 318 edges .......................... Chiral map of genus 107 and type {12,12}_106 isomorphic to its dual Automorphism group of order 636 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2*X^2*Y*X^-1 ] .......................... Chiral maps with 320 edges .......................... Chiral map of genus 1 and type {4,4}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 41 and type {4,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^3*X*Y^-2*X^-1*Y*X^-1*Y^4*X^-1 ] Chiral map of genus 41 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 41 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^-3*X*Y^-1*X^-1*Y*X^-1*Y^-1*X*Y^-1*X ] Chiral map of genus 41 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, (Y^-1*X)^5, X^-1*Y^-4*X*Y^-1*X^-2*Y^4*X^2*Y, Y^-3*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^4*X ] Chiral map of genus 41 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^2*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 41 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 41 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, Y*X^-1*Y^2*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 61 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^16 ] Chiral map of genus 61 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-2*X^-1*Y^2*X*Y^-2*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X ] Chiral map of genus 71 and type {4,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^4*X*Y^-2*X^-1*Y^2*X^-2*Y*X^-1*Y^-1*X*Y^6 ] Chiral map of genus 71 and type {4,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^32 ] Chiral map of genus 81 and type {8,8}_10 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-1*X)^4 ] Chiral map of genus 81 and type {8,8}_10 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X*Y^-1*X^3*Y^-3*X ] Chiral map of genus 81 and type {8,8}_10 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-3*X^3*Y^-2*X^2 ] Chiral map of genus 81 and type {8,8}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 81 and type {8,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {8,8}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 81 and type {8,8}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 81 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 81 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, X^-1*Y*X^2*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {8,8}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^16 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^-1*X*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-2*Y^2*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 101 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^16 ] Chiral map of genus 111 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^2*X*Y^-5*X^-1*Y^2*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 111 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^2*X*Y^-5*X^-1*Y^2*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 121 and type {16,16}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2, X^16 ] Chiral map of genus 121 and type {16,16}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^-2*X^-8*Y^-6 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 121 and type {16,16}_40 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, X^2*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 121 and type {16,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^16 ] Chiral map of genus 121 and type {16,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 137 and type {16,80}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^10*X^2*Y*X^-2*Y^9 ] Chiral map of genus 141 and type {32,32}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2, Y^-1*X*Y^-1*X^6*Y^-1*X*Y^-2*X*Y^-1*X ] Chiral map of genus 141 and type {32,32}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^3*X^-2*Y*X^-1*Y^3*X^-1*Y^2*X^-10*Y^9 ] Chiral map of genus 141 and type {32,32}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^12*Y^-4 ] Chiral map of genus 151 and type {64,64}_10 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^36*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-9*Y*X^-3*Y^5 ] Chiral map of genus 151 and type {64,64}_20 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X*Y^-1*X*Y^-6*X^10*Y^-2*X*Y^-3*X*Y^-1*X^4 ] Chiral map of genus 153 and type {80,80}_8 isomorphic to its dual Automorphism group of order 640 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^3*X^-3*Y^2*X^-5*Y^3*X^-4 ] .......................... Chiral maps with 324 edges .......................... Chiral map of genus 55 and type {6,6}_12 isomorphic to its dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-1*X^-3*Y^-3*X^3*Y^3*X^3*Y^-2 ] Chiral map of genus 97 and type {6,27}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^2*Y^-3 ] Chiral map of genus 100 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^2*X*Y^-4*X^-2*Y^-2*X*Y^4 ] Chiral map of genus 106 and type {6,108}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^18*X*Y^-1*X*Y^5*X^-1*Y^-1*X*Y^11 ] Chiral map of genus 82 and type {8,8}_18 isomorphic to its dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-1*X^-1*Y*X*Y^-1*X^-3*Y^-1*X^3*Y^-1*X ] Chiral map of genus 109 and type {9,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 118 and type {9,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-4 ] Chiral map of genus 118 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y*X*Y^-1*X^2*Y^-4, X^12 ] Chiral map of genus 124 and type {12,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, X*Y^-4*X^-5*Y*X^-1*Y^-4*X ] Chiral map of genus 127 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, (X*Y^-1*X^4)^2, X*Y^-2*X^4*Y^-4*X ] Chiral map of genus 130 and type {12,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^9*X^2*Y*X^-1*Y^-5*X*Y^3 ] Chiral map of genus 133 and type {12,108}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^9*X^2*Y^4*X^-1*Y^-2*X*Y^3 ] Chiral map of genus 136 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, X*Y^-1*X^-8*Y^-1*X^3*Y^-2, X^7*Y^-1*X^3*Y^-1*X^3*Y^-1*X*Y^-1 ] Chiral map of genus 136 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^4*X*Y^-1*X^-2*Y^-5*X*Y^2, (X^4*Y^-2*X^3)^2 ] Chiral map of genus 136 and type {24,24}_6 isomorphic to its dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^5*Y^-1*X^2*Y^-2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1 ] Chiral map of genus 145 and type {36,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y^2*X^-2, X^-2*Y*X^-10*Y*X^-1*Y^2*X^-1*Y*X^-2*Y*X^-8*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 154 and type {72,72}_6 isomorphic to its dual Automorphism group of order 648 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y*X^-1*Y^2, Y^-1*X^13*Y^-5*X^3*Y^-1*X^8*Y^-2*X^3 ] .......................... Chiral maps with 327 edges .......................... Chiral map of genus 1 and type {3,6}_218 not isomorphic to its dual or mirror-dual Automorphism group of order 654 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2 ] .......................... Chiral maps with 328 edges .......................... Chiral map of genus 1 and type {4,4}_164 isomorphic to its dual Automorphism group of order 656 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 83 and type {8,8}_82 isomorphic to its dual Automorphism group of order 656 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 83 and type {8,8}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 656 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-2*X*Y^-1*X^-2*Y^4*X*Y^-1 ] Chiral map of genus 83 and type {8,8}_164 isomorphic to its dual Automorphism group of order 656 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 330 edges .......................... Chiral map of genus 122 and type {10,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 122 and type {10,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1 ] Chiral map of genus 122 and type {10,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, X^10, Y*X*Y^-1*X^3*Y^4 ] Chiral map of genus 122 and type {10,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, (X*Y^-3*X)^2 ] Chiral map of genus 144 and type {30,30}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y^-1*X^5*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^8*Y^-2*X^2*Y^-1*X^2 ] Chiral map of genus 144 and type {30,30}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^8*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X^8*Y^-4 ] Chiral map of genus 161 and type {132,132}_10 isomorphic to its dual Automorphism group of order 660 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^35*X^-3*Y^2*X^-1*Y*X^-1*Y*X^-10*Y*X^-1*Y^3*X^-1*Y^3*X^-1 ] .......................... Chiral maps with 333 edges .......................... Chiral map of genus 1 and type {3,6}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 112 and type {9,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^3*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 112 and type {9,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 112 and type {9,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^3*X^3*Y^-1*X*Y^2 ] Chiral map of genus 112 and type {9,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 666 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y*X*Y^-1*X^4*Y*X^-1*Y*X^-2 ] .......................... Chiral maps with 336 edges .......................... Chiral map of genus 1 and type {3,6}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 57 and type {6,6}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^2*Y^3*X^-1, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 85 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y*X^-2*Y^-2 ] Chiral map of genus 85 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 85 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X*Y^3, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y ] Chiral map of genus 85 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, (X*Y^-5)^2, Y*X*Y^-2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 106 and type {6,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y^2, Y*X*Y^-1*X^-1*Y^6*X^-2*Y*X^-2*Y^7 ] Chiral map of genus 106 and type {6,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^7*X^-2*Y*X^2*Y*X^-2*Y^7 ] Chiral map of genus 113 and type {12,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X ] Chiral map of genus 113 and type {12,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X^-1*Y*X^-1*Y^-2*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^-2*X^-1 ] Chiral map of genus 113 and type {12,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, Y^-1*X^6*Y^-5, X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-1*Y*X^-2 ] Chiral map of genus 127 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4 ] Chiral map of genus 127 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-2*X^5*Y^-3*X*Y^-1, X^2*Y^-1*X^4*Y^-2*X^2*Y^-1 ] Chiral map of genus 127 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^-2*X^2*Y^-1*X^2*Y^-5 ] Chiral map of genus 127 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^12, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2 ] Chiral map of genus 134 and type {12,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y*X*Y^-1*X^-1*Y*X^3*Y^-4*X*Y ] Chiral map of genus 134 and type {12,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^2*X*Y^-2*X^2*Y^-3*X*Y ] Chiral map of genus 137 and type {14,42}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^14 ] Chiral map of genus 137 and type {21,21}_4 isomorphic to its mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^2*X^-3, X^2*Y^-2*X*Y^-2*X*Y^-2*X^8*Y^-1*X*Y^-1 ] Chiral map of genus 141 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^-2*Y^4*X^-2*Y*X^-7*Y^2*X^-5 ] Chiral map of genus 141 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, X^7*Y^-2*X*Y^-2 ] Chiral map of genus 153 and type {42,42}_4 isomorphic to its mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^23*X^-2*Y*X^-9*Y*X^-1*Y ] Chiral map of genus 155 and type {48,48}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^3*Y^-15*X^3*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^8*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 155 and type {48,48}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^2*X^-3*Y*X^-1*Y^2*X^-8*Y^2*X^-4*Y ] Chiral map of genus 161 and type {84,84}_4 isomorphic to its mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^23*X^-2*Y*X^-8*Y*X^-3 ] Chiral map of genus 161 and type {84,84}_4 isomorphic to its mirror-dual Automorphism group of order 672 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X^-68*Y^2*X^-12*Y^2 ] .......................... Chiral maps with 338 edges .......................... Chiral map of genus 1 and type {4,4}_338 isomorphic to its dual Automorphism group of order 676 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 157 and type {52,52}_26 isomorphic to its dual Automorphism group of order 676 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^3*Y^-3*X*Y^-1*X^10*Y^-6*X*Y^-1 ] .......................... Chiral maps with 340 edges .......................... Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 69 and type {4,20}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 81 and type {4,68}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^17*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^10 ] Chiral map of genus 137 and type {20,20}_34 isomorphic to its dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-2*X^2*Y^2, X^-4*Y^2*X^-8*Y*X^-1*Y^3*X^-1 ] Chiral map of genus 154 and type {40,40}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X^-2*Y^3*X^-2*Y*X^-7*Y^5 ] Chiral map of genus 161 and type {68,68}_10 isomorphic to its dual Automorphism group of order 680 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-1*X*Y^-33*X^2*Y^-5*X^3*Y^-1*X^10*Y^-1*X*Y^-1*X^2*Y^-4*X*Y^-2 ] .......................... Chiral maps with 342 edges .......................... Chiral map of genus 58 and type {6,6}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, Y^-1*X^-2*Y*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X^2*Y^-1*X ] Chiral map of genus 58 and type {6,6}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y^2*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^2 ] Chiral map of genus 134 and type {18,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X*Y^-1*X^-1*Y*X*Y^-1*X^-3*Y*X^-2*Y^-1*X*Y^-1*X, Y*X^-1*Y*X^-2*Y^2*X^-3*Y^2*X^-2*Y*X^-1*Y*X^-1 ] Chiral map of genus 134 and type {18,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y^2*X^-1*Y*X^-1, X^-1*Y*X^-1*Y*X^-1*Y*X^-7*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 134 and type {18,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^3*X^-9*Y*X^-3*Y^2 ] Chiral map of genus 134 and type {18,18}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 684 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^3*X^-2, X^-1*Y^2*X^-1*Y*X^-5*Y*X^-2*Y*X^-3*Y ] .......................... Chiral maps with 343 edges .......................... Chiral map of genus 141 and type {14,49}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 686 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^3*X^-3*Y^-1*X*Y^3 ] Chiral map of genus 141 and type {14,49}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 686 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X*Y^-3*X^-2*Y^-4*X ] Chiral map of genus 141 and type {14,49}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 686 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^2*Y^-2*X^-2*Y^-5 ] .......................... Chiral maps with 346 edges .......................... Chiral map of genus 1 and type {4,4}_346 isomorphic to its dual Automorphism group of order 692 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 348 edges .......................... Chiral map of genus 59 and type {4,12}_174 not isomorphic to its dual or mirror-dual Automorphism group of order 696 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 117 and type {12,12}_58 isomorphic to its dual Automorphism group of order 696 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^2*X^-2*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1 ] .......................... Chiral maps with 350 edges .......................... Chiral map of genus 151 and type {28,28}_50 isomorphic to its dual Automorphism group of order 700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 171 and type {140,140}_10 isomorphic to its dual Automorphism group of order 700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^39*X^-3*Y^2*X^-4*Y^2*X^-8*Y*X^-1*Y^3*X^-1*Y^3*X^-1 ] .......................... Chiral maps with 351 edges .......................... Chiral map of genus 1 and type {3,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^3*X^-1*Y ] Chiral map of genus 79 and type {6,9}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^2*Y^-1*X*Y^-1*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^2 ] Chiral map of genus 79 and type {6,9}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^2*Y^2*X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 79 and type {6,9}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, Y*X^-2*Y*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 115 and type {6,117}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-20*X*Y*X^-1*Y^-1*X*Y^5*X^-1*Y^-12 ] Chiral map of genus 118 and type {9,18}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 136 and type {13,26}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-3*X^2*Y*X^-1*Y^3, X^-13 ] Chiral map of genus 136 and type {13,26}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y^2*X^-1*Y*X^-1, X^-13 ] Chiral map of genus 157 and type {27,54}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^2*Y^-3*X^3*Y^-1*X^9*Y^-8*X ] Chiral map of genus 169 and type {78,117}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 702 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-2*X*Y^-1*X*Y^-11*X*Y^-1*X^2*Y^-2*X^10*Y^-2*X^3*Y^-2 ] .......................... Chiral maps with 355 edges .......................... Chiral map of genus 72 and type {5,10}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 710 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y*X*Y^-1*X*Y^-1*X^-2*Y^4*X^-1*Y ] Chiral map of genus 72 and type {5,10}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 710 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-1*X*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-4 ] .......................... Chiral maps with 356 edges .......................... Chiral map of genus 1 and type {4,4}_178 isomorphic to its dual Automorphism group of order 712 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 90 and type {8,8}_178 not isomorphic to its dual or mirror-dual Automorphism group of order 712 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^3*Y^-1*X^3*Y^-3*X*Y^-1 ] .......................... Chiral maps with 357 edges .......................... Chiral map of genus 113 and type {6,51}_238 not isomorphic to its dual or mirror-dual Automorphism group of order 714 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y*X^-1*Y, Y^-7*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^6*X^-1*Y^-1 ] Chiral map of genus 169 and type {51,102}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 714 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^2*Y^-1*X^17*Y^-1*X*Y^-5*X^3*Y^-1*X^9*Y^-5*X*Y^-5 ] .......................... Chiral maps with 360 edges .......................... Chiral map of genus 1 and type {4,4}_60 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 61 and type {4,12}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-1*Y^-3 ] Chiral map of genus 81 and type {4,36}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^36 ] Chiral map of genus 82 and type {4,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^-10*X^2*Y^-2*X*Y^4*X^-1*Y^-4 ] Chiral map of genus 61 and type {6,6}_8 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^6, Y^6, (Y^-1*X)^5, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 91 and type {8,8}_30 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^3*Y^-1*X^-2*Y^4*X, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X*Y^-1*X^-1*Y*X^3*Y^-2*X*Y^-2 ] Chiral map of genus 91 and type {8,8}_30 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1 ] Chiral map of genus 91 and type {8,8}_30 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 91 and type {8,8}_60 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y^2*X^-2*Y^-2*X ] Chiral map of genus 118 and type {8,20}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^-2*X^-1*Y*X*Y^-1*X^-3*Y*X^-1*Y^-5 ] Chiral map of genus 127 and type {8,40}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y*X*Y^-3*X^3*Y^6 ] Chiral map of genus 131 and type {8,72}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-5*X^-1*Y^2*X*Y^-2*X^2*Y^-9 ] Chiral map of genus 131 and type {8,72}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^5*X*Y^-2*X^-1*Y^2*X^2*Y^9 ] Chiral map of genus 121 and type {12,12}_60 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^12 ] Chiral map of genus 121 and type {12,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^12 ] Chiral map of genus 154 and type {20,40}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-1*X*Y^-2*X^2*Y^-3*X ] Chiral map of genus 151 and type {24,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-4*Y*X^-2*Y^2*X^-2*Y*X^-8*Y^2*X^-2 ] Chiral map of genus 151 and type {24,24}_30 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^2*Y^-2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 151 and type {24,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 151 and type {24,24}_60 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X^3*Y^-2*X*Y^2 ] Chiral map of genus 161 and type {36,36}_20 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X*Y^-4*X^5*Y^-2*X*Y^-1*X^8*Y^-2*X^4*Y^-2*X^2*Y^-2*X ] Chiral map of genus 161 and type {36,36}_20 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, Y^3*X^-9*Y*X^-2*Y*X^-2 ] Chiral map of genus 163 and type {40,40}_6 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^18*Y^-1*X^2*Y^-2*X*Y^-2*X^9*Y^-1*X^4 ] Chiral map of genus 165 and type {45,45}_4 isomorphic to its mirror-dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^-2*Y^29*X^-11*Y^2*X^-1 ] Chiral map of genus 171 and type {72,72}_10 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^44*X^-2*Y^2*X^-4*Y^2*X^-10*Y^8 ] Chiral map of genus 171 and type {72,72}_20 isomorphic to its dual Automorphism group of order 720 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^2*Y^-11*X^10*Y^-2*X^4*Y^-3*X^2*Y^-1 ] .......................... Chiral maps with 362 edges .......................... Chiral map of genus 1 and type {4,4}_362 isomorphic to its dual Automorphism group of order 724 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-1*X ] .......................... Chiral maps with 364 edges .......................... Chiral map of genus 79 and type {4,28}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 728 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, X*Y^-6*X^-1*Y*X^-2*Y^2*X^-1*Y^-2*X*Y^3 ] Chiral map of genus 157 and type {28,28}_26 isomorphic to its dual Automorphism group of order 728 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X*Y^-4*X^12*Y^-2*X^4*Y^-2*X^3 ] Chiral map of genus 175 and type {91,91}_4 isomorphic to its mirror-dual Automorphism group of order 728 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^72*X^-1*Y*X^-15 ] .......................... Chiral maps with 366 edges .......................... Chiral map of genus 62 and type {6,6}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 732 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-1*X)^2, Y^2*X*Y^-1*X*Y^2*X^-1*Y^-3*X*Y^-1*X^-2*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 123 and type {12,12}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 732 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, X^-1*Y*X^6*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 123 and type {12,12}_122 isomorphic to its dual Automorphism group of order 732 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-2*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^-1 ] .......................... Chiral maps with 370 edges .......................... Chiral map of genus 1 and type {4,4}_370 isomorphic to its dual Automorphism group of order 740 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 1 and type {4,4}_370 isomorphic to its dual Automorphism group of order 740 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 149 and type {20,20}_74 isomorphic to its dual Automorphism group of order 740 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 181 and type {148,148}_10 isomorphic to its dual Automorphism group of order 740 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^42*Y^-1*X^2*Y^-5*X^14*Y^-1*X*Y^-1*X*Y^-2*X*Y^-2 ] .......................... Chiral maps with 372 edges .......................... Chiral map of genus 1 and type {3,6}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 744 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-2*X^-1*Y*X^-1*Y^-3*X*Y^-2*X*Y^-1 ] Chiral map of genus 94 and type {6,12}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 744 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, Y*X^-2*Y*X^-2*Y*X^3*Y*X^-1*Y*X^-2*Y*X^-2 ] Chiral map of genus 94 and type {6,12}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 744 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 125 and type {12,12}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 744 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X^-3*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 374 edges .......................... Chiral map of genus 171 and type {44,44}_34 isomorphic to its dual Automorphism group of order 748 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X, Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-7*Y*X^-1*Y*X^-1*Y*X^-1 ] .......................... Chiral maps with 375 edges .......................... Chiral map of genus 146 and type {10,75}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 750 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^3*X*Y^-1*X^-1*Y^3*X^-2*Y^8 ] Chiral map of genus 146 and type {10,75}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 750 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^-6*X^2*Y^-2*X^-2*Y^-7 ] Chiral map of genus 171 and type {30,75}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 750 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X*Y^-2*X^2*Y^-1*X*Y^4, X^-8*Y*X^-2*Y^4 ] Chiral map of genus 171 and type {30,75}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 750 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X*Y^-3*X^3*Y^6, X^-8*Y^3*X^-2*Y^2 ] .......................... Chiral maps with 378 edges .......................... Chiral map of genus 64 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 64 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^2*X^2*Y^-1*X ] Chiral map of genus 64 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, X*Y^-1*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y*X^-1*Y ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, X*Y^-4*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^18 ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^18 ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-2*Y*X^-2*Y*X^-2*Y*X^-2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 106 and type {6,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X^2*Y^-1*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 124 and type {6,126}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^21*X^2*Y*X^-2*Y^20 ] Chiral map of genus 148 and type {18,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y^5, X^-1*Y*X^-1*Y^4*X^-8*Y^3 ] Chiral map of genus 148 and type {18,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y, X^-1*Y^2*X^-2*Y^2*X^-7*Y^4 ] Chiral map of genus 160 and type {18,42}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^-6*X^2*Y^-1*X^2*Y^-7 ] Chiral map of genus 178 and type {42,126}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-19*X*Y^-4*X^3*Y^-2*X^9*Y^-1*X*Y^-2 ] Chiral map of genus 176 and type {54,54}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 756 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^3*Y^-20*X^3*Y^-1*X^2*Y^-1*X^2*Y^-1*X^10*Y^-2*X*Y^-1*X*Y^-4*X^2 ] .......................... Chiral maps with 380 edges .......................... Chiral map of genus 91 and type {4,76}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 760 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^19*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^12 ] Chiral map of genus 181 and type {76,76}_10 isomorphic to its dual Automorphism group of order 760 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X*Y^-43*X^4*Y^-5*X^12*Y^-1*X*Y^-3*X*Y^-2*X^3 ] .......................... Chiral maps with 381 edges .......................... Chiral map of genus 1 and type {3,6}_254 not isomorphic to its dual or mirror-dual Automorphism group of order 762 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] .......................... Chiral maps with 384 edges .......................... Chiral map of genus 33 and type {3,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^3, Y^12, Y^2*X*Y^-3*X*Y^-2*X^-1*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 33 and type {4,6}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^4, Y^6, X*Y^-3*X^-1*Y*X^2*Y^3*X^2*Y^-1 ] Chiral map of genus 33 and type {4,6}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^4, Y^6, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, X^-1*Y^-3*X^-2*Y^-3*X^2*Y^3*X^2*Y^3*X^-1 ] Chiral map of genus 65 and type {4,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4, (X*Y^-5)^2, Y^12 ] Chiral map of genus 65 and type {4,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^4, X*Y^-3*X^-1*Y*X^2*Y^2*X^-1*Y^-1*X*Y^-1, X*Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^-3 ] Chiral map of genus 65 and type {4,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-5)^2, Y^12, Y^-1*X*Y^-2*X*Y^-2*X*Y^3*X^-1*Y^-2 ] Chiral map of genus 89 and type {4,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^4, Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^2, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y^4*X^-1*Y^-4 ] Chiral map of genus 65 and type {6,6}_8 isomorphic to its mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^6, Y^-1*X^-2*Y*X^3*Y^3*X*Y^-1, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 65 and type {6,6}_16 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y*X^2*Y^-3*X^-2*Y^3*X^2*Y^-2*X^-1*Y ] Chiral map of genus 65 and type {6,6}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 81 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^8, Y^3*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-1, X^-1*Y^-4*X^3*Y^4*X^-2 ] Chiral map of genus 81 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-3)^2, (X*Y^-1*X)^4, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 81 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-3)^2, X*Y^-2*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, X*Y^-1*X^-2*Y*X*Y^-1*X^2*Y*X^-2*Y^-2 ] Chiral map of genus 81 and type {6,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1, X^2*Y^-1*X^2*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 81 and type {6,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-1)^4, X*Y^-3*X^-2*Y*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 81 and type {6,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^8, X^-1*Y^-4*X^3*Y^4*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 97 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^-2*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-1*X)^4 ] Chiral map of genus 97 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^-2*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^-2*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 97 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, X*Y^-3*X^-2*Y*X^-1*Y*X^-1*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 113 and type {6,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, X^-1*Y^2*X*Y^-1*X^2*Y^-5 ] Chiral map of genus 113 and type {6,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^6, X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 113 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^12 ] Chiral map of genus 113 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X^4*Y^-4, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-2)^4 ] Chiral map of genus 113 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, Y^2*X*Y^-1*X^3*Y^2*X^-2*Y, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3 ] Chiral map of genus 113 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X^4*Y^-4, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X^2*Y^3*X^-2*Y ] Chiral map of genus 113 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 113 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X^4*Y^-4, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1 ] Chiral map of genus 113 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^2*X*Y^-1*X^3*Y^2*X^-2*Y ] Chiral map of genus 137 and type {8,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-1*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y^-1, X*Y^-4*X^2*Y^3*X^-1*Y^-1, Y^4*X*Y^-1*X^-2*Y^-5*X*Y^2 ] Chiral map of genus 141 and type {8,96}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^12*X^3*Y^-2*X*Y^10 ] Chiral map of genus 129 and type {12,12}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-4*X, X^2*Y^-2*X^3*Y^-1*X*Y^-3 ] Chiral map of genus 129 and type {12,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-4*X, Y*X*Y^-2*X^3*Y^-2*X*Y*X^-1 ] Chiral map of genus 129 and type {12,12}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-1*X^6*Y^-5, (X*Y^-1*X)^4 ] Chiral map of genus 129 and type {12,12}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-3*X^4*Y^-1*X*Y^-1*X*Y^-1, X*Y^-1*X*Y^-1*X^3*Y^-3*X*Y^-1 ] Chiral map of genus 129 and type {12,12}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-2, X^12, Y^-1*X^6*Y^-5 ] Chiral map of genus 129 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, X^-1*Y^2*X^4*Y^-1*X^2*Y^-2 ] Chiral map of genus 129 and type {12,12}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y^2, X^12, Y^-1*X^6*Y^-5 ] Chiral map of genus 129 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-2*X*Y^-1*X, X^2*Y^-1*X^4*Y^-3*X*Y^-1 ] Chiral map of genus 129 and type {12,12}_16 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-1*X^6*Y^-5, Y*X^-2*Y*X^4*Y*X^-2*Y*X^-2 ] Chiral map of genus 137 and type {12,16}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-1*X^-1*Y^2*X^2*Y^-1*X*Y^-2, X^12 ] Chiral map of genus 145 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-2, X*Y^-1*X*Y^-1*X^3*Y^2*X^-1*Y^-2 ] Chiral map of genus 145 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-2, Y^-2*X*Y^-1*X^3*Y^-2*X^2*Y^-1 ] Chiral map of genus 153 and type {12,48}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^12 ] Chiral map of genus 153 and type {16,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y*X^-2*Y^-1, Y^-5*X^2*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 165 and type {16,96}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^12*X^2*Y*X^-2*Y^11 ] Chiral map of genus 161 and type {24,24}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-5, X^2*Y^-1*X^4*Y^-2*X*Y^-1*X, X*Y^-3*X^3*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 161 and type {24,24}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, X^-2*Y^2*X^-1*Y*X^-11*Y*X^-1*Y*X^-1*Y^3 ] Chiral map of genus 161 and type {24,24}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, X^2*Y^-2*X^3*Y^-1*X*Y^-3 ] Chiral map of genus 161 and type {24,24}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-5, X^2*Y^-1*X^4*Y^-2*X*Y^-1*X, X^2*Y^-2*X^3*Y^-1*X*Y^-3 ] Chiral map of genus 161 and type {24,24}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-2, Y^-1*X^6*Y^-5, X^-1*Y^2*X^4*Y^-1*X^2*Y^-2 ] Chiral map of genus 161 and type {24,24}_8 isomorphic to its dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y^2, Y*X^6*Y^5, X^2*Y^-1*X^4*Y^-3*X*Y^-1 ] Chiral map of genus 165 and type {24,32}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y*X*Y^-1*X^4*Y^2*X^-3, Y^-3*X^-1*Y^11*X^-1*Y^-2, X*Y^-1*X^-9*Y^6*X^-2*Y ] Chiral map of genus 169 and type {24,48}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-3*X^4*Y^-5 ] Chiral map of genus 173 and type {24,96}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, X*Y^-3*X*Y^-1*X^2*Y^-2*X^6*Y^-1*X*Y^-2*X*Y^-1*X^2 ] Chiral map of genus 173 and type {32,48}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-2*X^-1*Y^2*X^-5*Y^-1*X*Y^5*X^-1*Y^-2 ] Chiral map of genus 181 and type {48,96}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 768 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, X*Y^-1*X*Y^-1*X*Y^-1*X^10*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 385 edges .......................... Chiral map of genus 144 and type {10,35}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 770 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-2*X^-5*Y^3*X^-1*Y^-2 ] Chiral map of genus 144 and type {10,35}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 770 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-2*X^-1*Y*X^-2*Y^3*X^-1*Y^-1 ] Chiral map of genus 177 and type {35,70}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 770 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X*Y^-14*X*Y^-3*X*Y^-1*X*Y^-1*X^7*Y^-1*X^2*Y^-2 ] Chiral map of genus 177 and type {35,70}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 770 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^2*Y^-2*X^10*Y^-2*X*Y^-2*X^14*Y^-1 ] .......................... Chiral maps with 386 edges .......................... Chiral map of genus 1 and type {4,4}_386 isomorphic to its dual Automorphism group of order 772 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] .......................... Chiral maps with 387 edges .......................... Chiral map of genus 1 and type {3,6}_258 not isomorphic to its dual or mirror-dual Automorphism group of order 774 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 130 and type {9,18}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 774 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2*X*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1 ] .......................... Chiral maps with 388 edges .......................... Chiral map of genus 1 and type {4,4}_194 isomorphic to its dual Automorphism group of order 776 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X ] Chiral map of genus 98 and type {8,8}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 776 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-1*Y*X*Y^-1*X^-2*Y^4*X*Y^-1 ] .......................... Chiral maps with 390 edges .......................... Chiral map of genus 118 and type {6,30}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-4*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 118 and type {6,30}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 131 and type {12,12}_130 isomorphic to its dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 131 and type {12,12}_130 isomorphic to its dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y*X^2*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 131 and type {12,12}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^-4*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 131 and type {12,12}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^-2*X*Y ] Chiral map of genus 170 and type {30,30}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-2*X^13*Y^-3*X*Y^-3 ] Chiral map of genus 183 and type {60,60}_26 isomorphic to its dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-2*X^2*Y^-1*X*Y^-2*X*Y^-2*X^8*Y^-1*X*Y^-3*X*Y^-2*X^3 ] Chiral map of genus 183 and type {60,60}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X*Y^-1*X^2*Y^-1*X^2*Y^-3*X^2*Y^-1*X*Y^-1*X^9*Y^-2*X^2*Y^-2 ] Chiral map of genus 191 and type {156,156}_10 isomorphic to its dual Automorphism group of order 780 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^47*Y^-1*X*Y^-6*X^14*Y^-1*X*Y^-1*X*Y^-2*X*Y^-2 ] .......................... Chiral maps with 392 edges .......................... Chiral map of genus 113 and type {7,14}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 784 with defining relations: [ (X*Y)^2, X^7, Y*X^2*Y^-1*X^3*Y^4*X^-1 ] Chiral map of genus 148 and type {16,16}_14 isomorphic to its dual Automorphism group of order 784 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^3*Y^-2*X^2*Y, Y^-2*X^-1*Y*X^3*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 148 and type {16,16}_14 isomorphic to its dual Automorphism group of order 784 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^7*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 185 and type {49,98}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 784 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X*Y^-1*X*Y^-30*X*Y^-1*X^10*Y^-1*X*Y^-1*X ] Chiral map of genus 189 and type {98,98}_4 isomorphic to its mirror-dual Automorphism group of order 784 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^79*X^-1*Y*X^-15 ] .......................... Chiral maps with 394 edges .......................... Chiral map of genus 1 and type {4,4}_394 isomorphic to its dual Automorphism group of order 788 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 396 edges .......................... Chiral map of genus 190 and type {88,88}_6 isomorphic to its dual Automorphism group of order 792 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^23*Y^-1*X*Y^-3*X^9*Y^-1*X*Y^-1*X^2*Y^-1*X ] .......................... Chiral maps with 399 edges .......................... Chiral map of genus 1 and type {3,6}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 798 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 1 and type {3,6}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 798 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 115 and type {6,21}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 798 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 127 and type {6,57}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 798 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-10*X^2*Y^-1*X^2*Y^-6*X*Y*X^-1*Y^-1 ] Chiral map of genus 172 and type {21,42}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 798 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^-2*X*Y, X^13*Y^-6*X^2 ] Chiral map of genus 190 and type {57,114}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 798 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^-2*Y^22*X^-3*Y^4*X^-1*Y^5*X^-11*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1 ] .......................... Chiral maps with 400 edges .......................... Chiral map of genus 1 and type {4,4}_100 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 51 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-1)^4, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y, Y^-3*X*Y^-2*X^-1*Y*X^-1*Y^4*X ] Chiral map of genus 51 and type {4,8}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X^-2*Y^2*X*Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 51 and type {4,8}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X^-2*Y^2*X*Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 81 and type {4,20}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^20 ] Chiral map of genus 91 and type {4,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^9*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-1*X*Y^5 ] Chiral map of genus 91 and type {4,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^40 ] Chiral map of genus 101 and type {8,8}_4 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-4*Y^-1*X^3*Y^-1*X ] Chiral map of genus 101 and type {8,8}_20 isomorphic to its mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-4*Y^-1*X^3*Y^-1*X ] Chiral map of genus 101 and type {8,8}_100 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-1*Y*X^2*Y^-2*X^2*Y^-2*X*Y^-1*X^-2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 101 and type {8,8}_100 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^2*X^-2*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X ] Chiral map of genus 131 and type {8,20}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^-1*X*Y^-2*X^3*Y^-5 ] Chiral map of genus 131 and type {8,20}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^20 ] Chiral map of genus 131 and type {8,20}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^20 ] Chiral map of genus 141 and type {8,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^10*X^-3*Y^-7*X*Y^3 ] Chiral map of genus 141 and type {8,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^10*X^-3*Y^-7*X*Y^3 ] Chiral map of genus 151 and type {16,16}_10 isomorphic to its mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y^-1*X^10*Y^-2*X^2*Y^-1 ] Chiral map of genus 151 and type {16,16}_20 isomorphic to its mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-3*X^4*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 151 and type {16,16}_50 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1*X, X^16 ] Chiral map of genus 151 and type {16,16}_100 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 171 and type {16,80}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-2*X^2*Y^-1*X*Y^4, X^16 ] Chiral map of genus 171 and type {16,80}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^2*X*Y^-2*X^2*Y^-6 ] Chiral map of genus 161 and type {20,20}_20 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-2, X^-3*Y^3*X^-1*Y*X^-8*Y^2*X^-2 ] Chiral map of genus 171 and type {20,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y*X^-1*Y*X^-3*Y*X^-7*Y^3*X^-1*Y^2 ] Chiral map of genus 171 and type {20,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y*X^-1*Y*X^-3*Y*X^-7*Y^3*X^-1*Y^2 ] Chiral map of genus 181 and type {40,40}_20 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y*X^-3*Y^5*X^-1*Y^2*X^-1*Y^3*X^-1*Y*X^-10*Y^7*X^-1*Y^3 ] Chiral map of genus 181 and type {40,40}_20 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X^-3*Y^3*X^-1*Y*X^-6*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 191 and type {80,80}_10 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y*X^-43*Y^5*X^-1*Y^2*X^-1*Y^3*X^-1*Y*X^-10*Y^8*X^-3 ] Chiral map of genus 191 and type {80,80}_20 isomorphic to its dual Automorphism group of order 800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-1*Y^6*X^-1*Y*X^-1*Y^6*X^-12*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 402 edges .......................... Chiral map of genus 68 and type {6,6}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 804 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^-1 ] .......................... Chiral maps with 404 edges .......................... Chiral map of genus 1 and type {4,4}_202 isomorphic to its dual Automorphism group of order 808 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X^-2*Y^-2*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 405 edges .......................... Chiral map of genus 133 and type {6,135}_270 not isomorphic to its dual or mirror-dual Automorphism group of order 810 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-23*X^2*Y^-1*X*Y^4*X^-1*Y^-17 ] Chiral map of genus 172 and type {18,45}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 810 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, (X^-4*Y^2*X^-3)^2, Y^3*X*Y^-4*X^2*Y^-6*X*Y^2 ] Chiral map of genus 187 and type {30,135}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 810 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^-2*Y*X^-4*Y^7 ] Chiral map of genus 190 and type {45,90}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 810 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y^2*X^-2, X^2*Y^-1*X*Y^-1*X^19*Y^-1*X*Y^-4*X^9*Y^-1*X^5 ] .......................... Chiral maps with 406 edges .......................... Chiral map of genus 146 and type {14,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 812 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^14, X*Y^-1*X^6*Y^-2*X^3*Y^-1 ] Chiral map of genus 146 and type {14,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 812 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X*Y^-1*X^4*Y^4*X^-1, X^14 ] Chiral map of genus 146 and type {14,14}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 812 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y*X^-1*Y, Y*X^-1*Y*X^4*Y^-1*X*Y*X^-2, X^14 ] Chiral map of genus 175 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 812 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, X^-1*Y*X^-1*Y*X^3*Y^-2*X*Y^2, X^8*Y^-1*X*Y^-4 ] Chiral map of genus 175 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 812 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y*X^-2*Y^2, X^8*Y^-1*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 175 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 812 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y*X*Y^-2*X^3*Y^2*X^-2*Y, X^9*Y^-2*X^2*Y^-1 ] Chiral map of genus 175 and type {28,28}_58 isomorphic to its dual Automorphism group of order 812 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1 ] .......................... Chiral maps with 408 edges .......................... Chiral map of genus 69 and type {4,12}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 137 and type {8,24}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-6*X^-4*Y^-6, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^2*X^-1*Y ] Chiral map of genus 137 and type {8,24}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1 ] Chiral map of genus 137 and type {8,24}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-2*Y^-2*X*Y^-2, Y^-2*X^-1*Y*X^3*Y^-1*X^2*Y^-2 ] Chiral map of genus 137 and type {8,24}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-6*X^-4*Y^-6, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 137 and type {12,12}_68 isomorphic to its dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-2*Y*X^3*Y^-2*X*Y^-1*X ] Chiral map of genus 137 and type {12,12}_68 isomorphic to its dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 171 and type {24,24}_34 isomorphic to its dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X, X^13*Y^-2*X*Y^-3*X*Y^-1*X^3 ] Chiral map of genus 171 and type {24,24}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X^-2*Y^4*X^-6*Y*X^-9*Y*X^-1 ] Chiral map of genus 171 and type {24,24}_68 isomorphic to its dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 188 and type {48,48}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^2*Y^-1*X*Y^-1*X^3*Y^-2*X^8*Y^-2*X*Y^-1*X^2 ] Chiral map of genus 188 and type {48,48}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 816 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-1*X^4*Y^2*X^-1*Y^2, Y^-1*X^3*Y^-1*X^2*Y^-1*X*Y^-1*X^11*Y^-1*X^2 ] .......................... Chiral maps with 410 edges .......................... Chiral map of genus 1 and type {4,4}_410 isomorphic to its dual Automorphism group of order 820 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 1 and type {4,4}_410 isomorphic to its dual Automorphism group of order 820 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 124 and type {10,10}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 820 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^10, Y*X*Y^-1*X^5*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 124 and type {10,10}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 820 with defining relations: [ (X*Y)^2, X^10, (X*Y^-1*X^3)^2, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 165 and type {20,20}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 820 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y^-3*X ] Chiral map of genus 165 and type {20,20}_82 isomorphic to its dual Automorphism group of order 820 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 165 and type {20,20}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 820 with defining relations: [ (X*Y)^2, X*Y^-1*X^4*Y^-2*X^2 ] Chiral map of genus 201 and type {164,164}_10 isomorphic to its dual Automorphism group of order 820 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^50*Y^-11*X^10*Y^-2*X*Y^-3*X*Y^-1*X*Y^-2 ] .......................... Chiral maps with 416 edges .......................... Chiral map of genus 1 and type {4,4}_104 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 53 and type {4,8}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1 ] Chiral map of genus 53 and type {4,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^2*Y^-1 ] Chiral map of genus 79 and type {4,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^16 ] Chiral map of genus 79 and type {4,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 105 and type {8,8}_52 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 105 and type {8,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-2*Y^-1*X*Y^2 ] Chiral map of genus 105 and type {8,8}_104 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-2*Y^2*X^-1*Y ] Chiral map of genus 105 and type {8,8}_104 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 105 and type {8,8}_104 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 131 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2 ] Chiral map of genus 131 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-2*Y^2*X^-1*Y ] Chiral map of genus 157 and type {16,16}_52 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 157 and type {16,16}_52 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X*Y^-1*X^-2*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 157 and type {16,16}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-1*Y*X^-2*Y*X^-1 ] Chiral map of genus 183 and type {32,32}_26 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^2*Y^-9*X^10*Y^-2*X*Y^-3*X*Y^-1*X*Y^-1*X ] Chiral map of genus 183 and type {32,32}_52 isomorphic to its dual Automorphism group of order 832 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-2*X^6*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 417 edges .......................... Chiral map of genus 1 and type {3,6}_278 not isomorphic to its dual or mirror-dual Automorphism group of order 834 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 420 edges .......................... Chiral map of genus 101 and type {4,84}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^21*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^14 ] Chiral map of genus 113 and type {6,15}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^-1*Y*X*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X ] Chiral map of genus 134 and type {6,60}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^10*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^7 ] Chiral map of genus 134 and type {6,60}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^10*X*Y^-1*X^2*Y^-1*X*Y^8 ] Chiral map of genus 141 and type {12,12}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, X^12, Y^-2*X^5*Y^-3*X*Y^-1 ] Chiral map of genus 141 and type {12,12}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^12 ] Chiral map of genus 161 and type {12,28}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^2*X*Y^-5*X^-3*Y^2*X^-2*Y^5 ] Chiral map of genus 162 and type {12,30}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^2*X*Y^-1*X^2*Y^-1*X^-3*Y^6 ] Chiral map of genus 162 and type {12,30}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y*X*Y^-4*X^2*Y^-2*X*Y^3 ] Chiral map of genus 169 and type {12,60}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^2*X*Y^-1*X^2*Y^-1*X^-2*Y^-2*X*Y^4 ] Chiral map of genus 169 and type {12,60}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^-2*X^-1*Y^3*X^2*Y^2*X^-1*Y^-3 ] Chiral map of genus 171 and type {12,84}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, X*Y^-1*X^-1*Y^6*X*Y^-5*X*Y^2 ] Chiral map of genus 169 and type {15,30}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y*X^-1*Y*X^-1*Y^3*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2 ] Chiral map of genus 191 and type {28,84}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y^-1*X*Y^-2*X*Y^-2*X*Y^-3*X^15*Y^-2 ] Chiral map of genus 190 and type {30,60}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^-2*Y^4*X^-1*Y*X^-1*Y^2*X^-11*Y*X^-1*Y*X^-2*Y^2 ] Chiral map of genus 190 and type {30,60}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^-5*Y^3*X^-1*Y*X^-1*Y^3*X^-7*Y*X^-3*Y^4*X^-1 ] Chiral map of genus 197 and type {60,60}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^2*X^-27*Y*X^-2*Y^4*X^-1*Y*X^-1*Y^2*X^-9*Y^2*X^-3*Y*X^-1*Y*X^-2 ] Chiral map of genus 201 and type {84,84}_10 isomorphic to its dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^52*Y^-11*X^10*Y^-2*X*Y^-3*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 203 and type {105,105}_4 isomorphic to its mirror-dual Automorphism group of order 840 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^84*X^-1*Y*X^-13*Y*X^-3 ] .......................... Chiral maps with 424 edges .......................... Chiral map of genus 1 and type {4,4}_212 isomorphic to its dual Automorphism group of order 848 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 107 and type {8,8}_106 isomorphic to its dual Automorphism group of order 848 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-2*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 107 and type {8,8}_212 isomorphic to its dual Automorphism group of order 848 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-2*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 429 edges .......................... Chiral map of genus 131 and type {6,33}_286 not isomorphic to its dual or mirror-dual Automorphism group of order 858 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y^-5*X^2*Y^-1*X^-3*Y*X^-2*Y^4 ] Chiral map of genus 196 and type {33,66}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 858 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^3*Y^-1*X^2*Y^-1*X^15*Y^-1*X^2*Y^-7*X ] .......................... Chiral maps with 430 edges .......................... Chiral map of genus 211 and type {172,172}_10 isomorphic to its dual Automorphism group of order 860 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^54*Y^-11*X^11*Y^-1*X^3*Y^-4*X*Y^-1 ] .......................... Chiral maps with 432 edges .......................... Chiral map of genus 55 and type {4,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^4, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-1)^6 ] Chiral map of genus 91 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-3*X*Y^-1*X^-2*Y^-3*X*Y^-1, Y^24 ] Chiral map of genus 91 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^6, Y^8, X*Y^-3*X^-2*Y^-1*X*Y*X^-2*Y^-1, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 91 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-1*X)^2, X*Y^-1*X^-1*Y^2*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^2 ] Chiral map of genus 97 and type {6,9}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-2*Y^-1*X*Y^2*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 121 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-2*X^3*Y^2*X^-1, Y^-1*X^-2*Y*X*Y^-1*X^2*Y*X^-1*Y^-3 ] Chiral map of genus 121 and type {6,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, Y*X^-2*Y*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-2 ] Chiral map of genus 133 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y^3*X^-2*Y*X^-2*Y*X^-1*Y^-1*X*Y^5 ] Chiral map of genus 133 and type {6,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 142 and type {6,144}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^24*X^2*Y*X^-1*Y^-5*X*Y^18 ] Chiral map of genus 109 and type {8,8}_12 isomorphic to its dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-3*Y*X^2*Y^4*X^-1, Y*X*Y^-1*X^-4*Y^-1*X^3*Y ] Chiral map of genus 127 and type {8,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, (X*Y^-1*X)^4, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, (X*Y^-1)^6 ] Chiral map of genus 127 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^12 ] Chiral map of genus 127 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, X^-2*Y*X*Y^-1*X^-2*Y^-1*X^3*Y, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 145 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-3*Y*X^-2*Y^-1, X^-1*Y*X*Y^-5*X^-2*Y^-6 ] Chiral map of genus 133 and type {9,12}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^12, X*Y^-2*X*Y^-1*X^-2*Y^-2*X*Y^3 ] Chiral map of genus 151 and type {9,24}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, Y^-7*X*Y^-1*X^-1*Y^6*X^-1*Y^-2 ] Chiral map of genus 157 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X^2*Y^-1*X*Y ] Chiral map of genus 157 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, X^-2*Y*X^5*Y^-4*X*Y ] Chiral map of genus 157 and type {12,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X^2*Y^-1*X*Y ] Chiral map of genus 163 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3 ] Chiral map of genus 169 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, X^-2*Y*X^5*Y^-1*X*Y^4 ] Chiral map of genus 169 and type {12,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, X^-1*Y*X*Y^-5*X^-1*Y^4*X^-1*Y^-2 ] Chiral map of genus 169 and type {12,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 169 and type {12,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, X*Y^-4*X^-1*Y*X^-5*Y^-7*X ] Chiral map of genus 169 and type {12,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 175 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, X*Y^-1*X^-1*Y^4*X^-2*Y^7 ] Chiral map of genus 175 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^12*X^-1*Y^-1*X^2*Y^-4*X*Y^7 ] Chiral map of genus 178 and type {12,144}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^12*X^3*Y^-1*X*Y^11 ] Chiral map of genus 163 and type {16,16}_6 isomorphic to its dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X^16 ] Chiral map of genus 163 and type {16,16}_12 isomorphic to its dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y*X^-1*Y^-2*X, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1 ] Chiral map of genus 181 and type {16,48}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X^16 ] Chiral map of genus 181 and type {16,48}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y*X^-1*Y^-3, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1 ] Chiral map of genus 175 and type {18,24}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, Y^-3*X^5*Y^3*X^-1*Y^-2 ] Chiral map of genus 175 and type {18,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, Y^-3*X^5*Y^3*X^-1*Y^-2 ] Chiral map of genus 184 and type {18,48}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^-8*X^-2*Y^-4*X*Y*X^-1*Y^-3 ] Chiral map of genus 181 and type {24,24}_12 isomorphic to its dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, X^2*Y^-3*X*Y^-1*X^10*Y^-1*X^3*Y^-3 ] Chiral map of genus 181 and type {24,24}_12 isomorphic to its dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^5*Y^-1*X^2*Y^-2, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1 ] Chiral map of genus 187 and type {24,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y*X^2*Y^-1*X^4*Y*X^-1*Y*X^-3, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 187 and type {24,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^-2*Y*X^5*Y^-1*X*Y^4 ] Chiral map of genus 187 and type {24,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-5*X^-1*Y*X^-2*Y^3*X^-1*Y^-3 ] Chiral map of genus 187 and type {24,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X*Y^-1*X^-1*Y^4*X^-2*Y^7 ] Chiral map of genus 193 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X*Y^-4*X^-2*Y^-2*X*Y^4, X*Y^-1*X^2*Y^-1*X^15*Y^-2*X^2 ] Chiral map of genus 193 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, X*Y^-1*X^-1*Y^4*X^-2*Y^7 ] Chiral map of genus 196 and type {36,48}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y^3*X^5*Y^-4*X*Y ] Chiral map of genus 199 and type {48,48}_6 isomorphic to its dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-22*Y^3*X^-5*Y*X^-14*Y*X^-1*Y ] Chiral map of genus 199 and type {48,48}_12 isomorphic to its dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^-1*Y*X^-1*Y^6*X^-8*Y*X^-1*Y*X^-1*Y*X^-2 ] Chiral map of genus 205 and type {48,144}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^-21*Y*X^-2*Y*X^-1*Y^2*X^-1*Y^2*X^-11*Y*X^-2*Y*X^-2 ] Chiral map of genus 205 and type {48,144}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 864 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X*Y^-4*X^-2*Y^-2*X*Y^4, X*Y^-2*X*Y^-2*X^2*Y^-2*X^10*Y^-4 ] .......................... Chiral maps with 436 edges .......................... Chiral map of genus 1 and type {4,4}_218 isomorphic to its dual Automorphism group of order 872 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 438 edges .......................... Chiral map of genus 74 and type {6,6}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 876 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-2*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y^2*X*Y^-1*X^-2 ] Chiral map of genus 147 and type {12,12}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 876 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, Y^2*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 147 and type {12,12}_146 isomorphic to its dual Automorphism group of order 876 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X^-2*Y*X^-1*Y^2*X^2*Y^-1*X*Y^-2*X^-3*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 440 edges .......................... Chiral map of genus 101 and type {4,44}_220 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^44 ] Chiral map of genus 161 and type {8,88}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^11*X*Y^-1*X*Y^5*X^-1*Y^-1*X*Y^4 ] Chiral map of genus 161 and type {8,88}_220 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^11*X*Y^-1*X^2*Y^-2*X*Y^8 ] Chiral map of genus 166 and type {10,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^-1*Y*X^5*Y^-6 ] Chiral map of genus 166 and type {10,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1 ] Chiral map of genus 166 and type {10,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, X^10, Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-2, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1 ] Chiral map of genus 166 and type {10,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, Y^4*X^3*Y^-2*X*Y^2 ] Chiral map of genus 177 and type {20,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X^4*Y^-3*X^8*Y^-2*X*Y^-1*X ] Chiral map of genus 177 and type {20,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y^3*X^-2, Y^-1*X*Y^-2*X^8*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 188 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-2*X^2*Y^-3*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 188 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y^-1*X^2*Y^-1 ] Chiral map of genus 188 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^3*Y^-4 ] Chiral map of genus 188 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, X*Y^-1*X*Y^-1*X^2*Y^-4 ] Chiral map of genus 199 and type {40,40}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^2*Y^-2*X^14*Y^-3*X^15*Y^-3*X ] Chiral map of genus 199 and type {40,40}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-1*Y^2*X^-2*Y^14*X^-4*Y*X^-2*Y*X^-10*Y^2*X^-1 ] Chiral map of genus 199 and type {40,40}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X*Y^-1*X^2*Y^-3*X^6*Y^-2*X*Y^-4 ] Chiral map of genus 199 and type {40,40}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y^3*X^-2, X^13*Y^-2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 201 and type {44,44}_20 isomorphic to its dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y*X^-7*Y^4*X^-1*Y^7*X^-12*Y^8*X^-3 ] Chiral map of genus 211 and type {88,88}_10 isomorphic to its dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^55*X^-1*Y^7*X^-12*Y^8*X^-3 ] Chiral map of genus 211 and type {88,88}_20 isomorphic to its dual Automorphism group of order 880 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X^-1*Y*X^-9*Y^10*X^-12*Y^7*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 441 edges .......................... Chiral map of genus 1 and type {3,6}_294 not isomorphic to its dual or mirror-dual Automorphism group of order 882 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 127 and type {6,21}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 882 with defining relations: [ (X*Y)^2, X^6, (X^-2*Y)^3, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, Y^3*X^-1*Y*X^2*Y^-3*X*Y ] Chiral map of genus 127 and type {6,21}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 882 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^-21 ] Chiral map of genus 148 and type {9,18}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 882 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 190 and type {18,63}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 882 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^2*X*Y^-1*X^-3*Y*X^-2*Y^3 ] Chiral map of genus 190 and type {21,42}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 882 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y, X^14*Y^-1*X^2*Y^-1*X^3 ] Chiral map of genus 211 and type {63,126}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 882 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^30*X^-3*Y^6*X^-2*Y*X^-12*Y*X^-1*Y*X^-2*Y^2*X^-1*Y ] .......................... Chiral maps with 442 edges .......................... Chiral map of genus 1 and type {4,4}_442 isomorphic to its dual Automorphism group of order 884 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^-2*Y^-2*X^-1*Y ] Chiral map of genus 1 and type {4,4}_442 isomorphic to its dual Automorphism group of order 884 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 205 and type {52,52}_34 isomorphic to its dual Automorphism group of order 884 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X, X^2*Y^-2*X*Y^-1*X*Y^-2*X^8*Y^-7*X*Y^-1 ] Chiral map of genus 209 and type {68,68}_26 isomorphic to its dual Automorphism group of order 884 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^2*Y^-3*X*Y^-5*X^14*Y^-6*X*Y^-1*X ] .......................... Chiral maps with 444 edges .......................... Chiral map of genus 1 and type {3,6}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 888 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 75 and type {4,12}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 888 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 112 and type {6,12}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 888 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X*Y^2*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y^-1 ] Chiral map of genus 112 and type {6,12}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 888 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^2*X^-1*Y^2*X*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^3*X^-1*Y*X^-1*Y ] Chiral map of genus 149 and type {12,12}_74 isomorphic to its dual Automorphism group of order 888 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-2*Y^-2*X*Y^-1*X^2*Y ] Chiral map of genus 149 and type {12,12}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 888 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y*X^-1*Y^-2*X^-2*Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-3*Y^-1*X ] Chiral map of genus 149 and type {12,12}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 888 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-1*X^3*Y^-1 ] .......................... Chiral maps with 448 edges .......................... Chiral map of genus 129 and type {7,14}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, X^7, Y^3*X^-3*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 161 and type {14,14}_4 isomorphic to its mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^14, Y^-1*X^7*Y^-1*X^3*Y^-1*X ] Chiral map of genus 185 and type {14,56}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y*X*Y^-2*X^3*Y^5, X^14 ] Chiral map of genus 193 and type {16,112}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^14*X^2*Y*X^-2*Y^13 ] Chiral map of genus 193 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^3*X^-2, X^4*Y^-1*X^10*Y^-1*X^10*Y^-2 ] Chiral map of genus 201 and type {28,56}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y*X*Y^-2*X^3*Y^5, X^8*Y^-1*X^2*Y^-3 ] Chiral map of genus 209 and type {56,56}_4 isomorphic to its mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-2*Y^2, X*Y^-1*X*Y^-9*X*Y^-1*X^9*Y^-2*X^2*Y^-1 ] Chiral map of genus 209 and type {56,56}_4 isomorphic to its mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^3*Y^-1*X^38*Y^-1*X^11*Y^-2 ] Chiral map of genus 217 and type {112,112}_4 isomorphic to its mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^3*Y^-1*X^38*Y^-1*X^9*Y^-3*X ] Chiral map of genus 217 and type {112,112}_4 isomorphic to its mirror-dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X^-90*Y^2*X^-13*Y^2*X^-2*Y^2*X^-1 ] Chiral map of genus 217 and type {112,112}_8 isomorphic to its dual Automorphism group of order 896 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^-3*X*Y^-4*X*Y^-3*X^7*Y^-1*X^3*Y^-3*X^2 ] .......................... Chiral maps with 450 edges .......................... Chiral map of genus 1 and type {4,4}_150 isomorphic to its dual Automorphism group of order 900 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 181 and type {20,20}_30 isomorphic to its dual Automorphism group of order 900 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 201 and type {36,36}_10 isomorphic to its dual Automorphism group of order 900 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^-2*Y*X^3*Y^-2*X*Y^2, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y^-3, Y^4*X^-1*Y*X^-7*Y*X^-1*Y*X^-2 ] Chiral map of genus 201 and type {36,36}_50 isomorphic to its dual Automorphism group of order 900 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, X^-2*Y^2*X^-6*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 221 and type {180,180}_10 isomorphic to its dual Automorphism group of order 900 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^57*X^-1*Y^7*X^-12*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 452 edges .......................... Chiral map of genus 1 and type {4,4}_226 isomorphic to its dual Automorphism group of order 904 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 114 and type {8,8}_226 not isomorphic to its dual or mirror-dual Automorphism group of order 904 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-1*Y*X^2*Y^-1*X^-3*Y^-1*X^3*Y^-2 ] .......................... Chiral maps with 453 edges .......................... Chiral map of genus 1 and type {3,6}_302 not isomorphic to its dual or mirror-dual Automorphism group of order 906 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 456 edges .......................... Chiral map of genus 39 and type {3,12}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y^-1*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-2 ] Chiral map of genus 77 and type {6,6}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y^2*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y^-1*X*Y^-1*X^-2 ] Chiral map of genus 115 and type {6,12}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y^-1*X^-1*Y*X^2*Y^-2*X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^3*X*Y^-1 ] Chiral map of genus 134 and type {6,24}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X*Y^2 ] Chiral map of genus 134 and type {6,24}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-2*X^2*Y^-1*X^2*Y^-5, Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 153 and type {12,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^12, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 172 and type {12,24}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^4*X*Y^-2*X*Y^6, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-2*Y^-2*X^3*Y ] Chiral map of genus 172 and type {12,24}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y^-3*X^4*Y*X^-2*Y^-2, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y ] Chiral map of genus 191 and type {24,24}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y, X*Y^-3*X^16*Y^-3*X ] Chiral map of genus 191 and type {24,24}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 912 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X^6*Y^-5, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y ] .......................... Chiral maps with 458 edges .......................... Chiral map of genus 1 and type {4,4}_458 isomorphic to its dual Automorphism group of order 916 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 459 edges .......................... Chiral map of genus 151 and type {6,153}_306 not isomorphic to its dual or mirror-dual Automorphism group of order 918 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-26*X^3*Y*X^-1*Y^-24 ] Chiral map of genus 223 and type {102,153}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 918 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^2*X^-1*Y*X^-16*Y*X^-1 ] .......................... Chiral maps with 460 edges .......................... Chiral map of genus 111 and type {4,92}_230 not isomorphic to its dual or mirror-dual Automorphism group of order 920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^23*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^16 ] Chiral map of genus 221 and type {92,92}_10 isomorphic to its dual Automorphism group of order 920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y*X^-55*Y*X^-3*Y*X^-1*Y*X^-1*Y^2*X^-14*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 462 edges .......................... Chiral map of genus 148 and type {6,66}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 924 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^11*X^2*Y^4*X^-1*Y^-1*X*Y^6 ] Chiral map of genus 148 and type {6,66}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 924 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^11*X*Y^-1*X*Y*X^-1*Y^-1*X^2*Y^-2*X^-1*Y^6 ] Chiral map of genus 218 and type {66,66}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 924 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^2*X^-31*Y*X^-1*Y*X^-1*Y^5*X^-13*Y^2*X^-6*Y*X^-2 ] .......................... Chiral maps with 464 edges .......................... Chiral map of genus 1 and type {4,4}_116 isomorphic to its dual Automorphism group of order 928 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1 ] Chiral map of genus 59 and type {4,8}_232 not isomorphic to its dual or mirror-dual Automorphism group of order 928 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 59 and type {4,8}_232 not isomorphic to its dual or mirror-dual Automorphism group of order 928 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 117 and type {8,8}_116 isomorphic to its dual Automorphism group of order 928 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^2*Y^-1 ] Chiral map of genus 117 and type {8,8}_116 isomorphic to its dual Automorphism group of order 928 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^2*Y^-1 ] Chiral map of genus 175 and type {16,16}_58 isomorphic to its dual Automorphism group of order 928 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X^-2*Y^2*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 175 and type {16,16}_116 isomorphic to its dual Automorphism group of order 928 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X^-2*Y^2*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^2 ] .......................... Chiral maps with 465 edges .......................... Chiral map of genus 125 and type {6,15}_310 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y*X^-2*Y*X^-2*Y^-2 ] Chiral map of genus 156 and type {10,15}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, X*Y^-2*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 156 and type {10,15}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, X^2*Y^-1*X^-3*Y^3*X^-1*Y ] Chiral map of genus 187 and type {15,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y*X*Y^-2*X^3*Y^5, X^-15 ] Chiral map of genus 187 and type {15,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 187 and type {15,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y, X^-15 ] Chiral map of genus 187 and type {15,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^3*Y*X^-1*Y^-3, Y*X^7*Y*X^-3*Y^2, X^-15 ] Chiral map of genus 187 and type {15,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, X^-15 ] Chiral map of genus 187 and type {15,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y*X^-4, X^-15 ] Chiral map of genus 187 and type {15,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 930 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X^7*Y*X^-2*Y^2*X^-1, X^-15 ] .......................... Chiral maps with 466 edges .......................... Chiral map of genus 1 and type {4,4}_466 isomorphic to its dual Automorphism group of order 932 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 468 edges .......................... Chiral map of genus 1 and type {3,6}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 40 and type {3,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^3, Y^12, (Y^2*X^-1*Y^2)^3, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 1 and type {4,4}_78 isomorphic to its dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 105 and type {4,36}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^-1*X^-1*Y^6*X*Y^-2*X^2*Y^-1*X*Y^6*X^-1*Y^-2 ] Chiral map of genus 118 and type {6,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y^12, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1 ] Chiral map of genus 118 and type {6,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^2*Y*X^-1*Y*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^2 ] Chiral map of genus 118 and type {6,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, X^-1*Y^2*X^2*Y^-2*X*Y^-3*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^2 ] Chiral map of genus 118 and type {6,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^12, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 157 and type {9,18}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 157 and type {12,12}_78 isomorphic to its dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^12, Y^2*X*Y^-2*X^2*Y^-1*X^-3*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 157 and type {12,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^12, X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 157 and type {12,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, X^-1*Y^2*X*Y^-1*X^3*Y*X^-2*Y^-1*X*Y ] Chiral map of genus 157 and type {12,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y^-1*X^-2*Y*X^3*Y^-1*X*Y^-1*X^3*Y*X^-1*Y*X^-2*Y*X^-1*Y ] Chiral map of genus 157 and type {12,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, X^12, X^2*Y^-1*X^4*Y^-1*X*Y^-2*X ] Chiral map of genus 157 and type {12,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, X^12, Y^-2*X^5*Y^-2*X*Y^-2 ] Chiral map of genus 196 and type {18,36}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y, X^-18 ] Chiral map of genus 196 and type {18,36}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^7*Y*X^-5, Y^-1*X^-1*Y*X*Y^-2*X^2*Y^2*X^-1*Y*X^-1*Y^-1, X^-1*Y^2*X^-8*Y*X^-4*Y*X^-1 ] Chiral map of genus 209 and type {36,36}_26 isomorphic to its dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^2*X^-1*Y^2*X^-2*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^2*X^-1 ] Chiral map of genus 209 and type {36,36}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X^-1*Y^2*X^-2*Y*X^-1*Y^5*X^-13*Y^2*X^-6*Y*X^-1*Y ] Chiral map of genus 209 and type {36,36}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X*Y^-1*X^2*Y^-10*X^2*Y^-3*X^2*Y^-1*X*Y^-1*X^7*Y^-1*X^3*Y^-1 ] Chiral map of genus 226 and type {104,104}_6 isomorphic to its dual Automorphism group of order 936 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-28*Y*X^-6*Y*X^-1*Y*X^-9*Y*X^-2*Y*X^-1 ] .......................... Chiral maps with 470 edges .......................... Chiral map of genus 231 and type {188,188}_10 isomorphic to its dual Automorphism group of order 940 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^58*X^-3*Y*X^-1*Y*X^-2*Y^2*X^-13*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 471 edges .......................... Chiral map of genus 1 and type {3,6}_314 not isomorphic to its dual or mirror-dual Automorphism group of order 942 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^3*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] .......................... Chiral maps with 474 edges .......................... Chiral map of genus 80 and type {6,6}_158 not isomorphic to its dual or mirror-dual Automorphism group of order 948 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y^2*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2*X^-1*Y*X^2 ] .......................... Chiral maps with 476 edges .......................... Chiral map of genus 103 and type {4,28}_238 not isomorphic to its dual or mirror-dual Automorphism group of order 952 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2, X^-1*Y*X*Y^-1*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y*X^-1*Y^-6 ] Chiral map of genus 205 and type {28,28}_34 isomorphic to its dual Automorphism group of order 952 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X, X^-1*Y*X^-3*Y*X^-1*Y*X^-11*Y^9 ] Chiral map of genus 222 and type {56,56}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 952 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X*Y^-7*X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^9*Y^-3 ] Chiral map of genus 231 and type {119,119}_4 isomorphic to its mirror-dual Automorphism group of order 952 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-95*X^14*Y^-4*X*Y^-2 ] .......................... Chiral maps with 480 edges .......................... Chiral map of genus 81 and type {4,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-2)^4, Y^12, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1 ] Chiral map of genus 81 and type {4,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 101 and type {4,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^4, Y^2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y^3 ] Chiral map of genus 101 and type {4,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-2*X^-1*Y^2*X*Y^-2*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^3 ] Chiral map of genus 101 and type {4,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^3, X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 101 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^24 ] Chiral map of genus 111 and type {4,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^48 ] Chiral map of genus 111 and type {4,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^-10*X^-1*Y^2*X^2*Y*X^-1*Y^-5*X*Y*X^-1*Y^-5 ] Chiral map of genus 49 and type {5,5}_12 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^5, Y^5, (X*Y^-1)^6, X*Y^2*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 65 and type {5,6}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^5, Y^6, (Y^-1*X)^5, Y^-1*X^-2*Y^-3*X^2*Y*X^-1*Y^3*X, Y*X^-2*Y^-3*X^2*Y^-1*X*Y^3*X^-1 ] Chiral map of genus 145 and type {6,30}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^6, X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1, Y^-2*X^2*Y^-1*X^2*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 145 and type {6,30}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y^2*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X*Y, Y^-4*X^-1*Y*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 141 and type {8,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^5*X^2*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 141 and type {8,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, X*Y^-1*X*Y^-2*X^2*Y^-5 ] Chiral map of genus 141 and type {8,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^12, X^-1*Y*X^2*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 141 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^12, X^2*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 161 and type {8,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^5*X^2*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 161 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y, Y^-5*X^2*Y^-2*X*Y^-1*X ] Chiral map of genus 161 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^2*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y, X*Y^-4*X^2*Y^-1*X^-1*Y^7 ] Chiral map of genus 161 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^2*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y, X^-1*Y*X*Y^-2*X^-1*Y^2*X^2*Y*X^-1*Y^-6 ] Chiral map of genus 161 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^24 ] Chiral map of genus 161 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^2*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y, X^-1*Y^5*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 161 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^24 ] Chiral map of genus 161 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^2*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y, X*Y^-4*X^2*Y^-1*X^-1*Y^7 ] Chiral map of genus 171 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^12*X^4*Y^12 ] Chiral map of genus 171 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^12*X^4*Y^12 ] Chiral map of genus 161 and type {12,12}_20 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 161 and type {12,12}_20 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-2, X^12, X^2*Y^-1*X^4*Y^2*X^-1*Y^-2, (X*Y^-2*X^3)^2 ] Chiral map of genus 161 and type {12,12}_40 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 161 and type {12,12}_40 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^12, Y*X*Y^-1*X^4*Y*X^-1*Y^3 ] Chiral map of genus 161 and type {12,12}_40 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X^12, X*Y^-1*X^5*Y^-2*X^2*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3 ] Chiral map of genus 171 and type {12,16}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^16 ] Chiral map of genus 171 and type {12,16}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 181 and type {12,24}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 181 and type {12,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X^-1*Y*X^2*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 181 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X ] Chiral map of genus 191 and type {12,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X^-2*Y^2*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 191 and type {12,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y*X*Y^-7*X*Y^8 ] Chiral map of genus 177 and type {15,15}_4 isomorphic to its mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y*X^-2*Y^3, X^-15 ] Chiral map of genus 191 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, X^-1*Y^5*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 191 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^16, Y^2*X*Y^-1*X^-1*Y^2*X^-5*Y^-1*X*Y^6 ] Chiral map of genus 201 and type {16,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X^-1*Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-4, X^16 ] Chiral map of genus 201 and type {16,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-4 ] Chiral map of genus 201 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X*Y^-1*X^-1*Y^3*X*Y^-1*X^-1*Y^7 ] Chiral map of genus 201 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, X*Y^-1*X^-1*Y^3*X*Y^-1*X^-1*Y^7 ] Chiral map of genus 201 and type {24,24}_10 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-1*X)^4, Y^-3*X^5*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 201 and type {24,24}_20 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X*Y^-4*X^15*Y^-4 ] Chiral map of genus 201 and type {24,24}_20 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, X*Y^-1*X^5*Y^-2*X^2*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 201 and type {24,24}_20 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X^6*Y^-3*X^4*Y^-1*X ] Chiral map of genus 201 and type {24,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, Y^2*X^-17*Y^3*X^-1*Y ] Chiral map of genus 201 and type {24,24}_40 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 201 and type {24,24}_40 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 201 and type {24,24}_40 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 201 and type {24,24}_40 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-1*X^5*Y^-2*X^2*Y^-1 ] Chiral map of genus 201 and type {24,24}_40 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 211 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-3*X^4*Y^-5, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 211 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-3*X^4*Y^-5, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 209 and type {30,30}_4 isomorphic to its mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-1*Y, X*Y^-1*X^2*Y^-10*X*Y^-2*X^9*Y^-2*X*Y^-1 ] Chiral map of genus 209 and type {30,30}_8 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y*X^-1*Y^2*X^-2*Y*X^-3*Y^2*X^-2*Y^2*X^-7*Y*X^-4*Y*X^-1 ] Chiral map of genus 221 and type {32,96}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-3*X^13*Y^-2 ] Chiral map of genus 221 and type {32,96}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X^-1*Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-4, X^2*Y^-1*X^6*Y^-3*X^2*Y^-2 ] Chiral map of genus 221 and type {48,48}_20 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X^2*Y^-2*X*Y^-2*X^11*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 221 and type {48,48}_20 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-10*Y^5*X^-1*Y^3*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^2*X^-1 ] Chiral map of genus 221 and type {48,48}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, Y^2*X^-13*Y^3*X^-2*Y^3*X^-1 ] Chiral map of genus 225 and type {60,60}_4 isomorphic to its mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-1*Y, X*Y^-1*X^2*Y^-10*X*Y^-2*X^8*Y^-4*X ] Chiral map of genus 225 and type {60,60}_4 isomorphic to its mirror-dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^4*Y^-42*X^10*Y^-2*X^2 ] Chiral map of genus 231 and type {96,96}_10 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^60*X^-2*Y*X^-1*Y*X^-1*Y*X^-2*Y^2*X^-13*Y^7*X^-1*Y^2*X^-1 ] Chiral map of genus 231 and type {96,96}_20 isomorphic to its dual Automorphism group of order 960 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^11*X^-2*Y^2*X^-1*Y^3*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 482 edges .......................... Chiral map of genus 1 and type {4,4}_482 isomorphic to its dual Automorphism group of order 964 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 483 edges .......................... Chiral map of genus 155 and type {6,69}_322 not isomorphic to its dual or mirror-dual Automorphism group of order 966 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-12*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-7 ] Chiral map of genus 232 and type {69,138}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 966 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y*X^-1*Y^34*X^-2*Y^4*X^-3*Y^2*X^-15*Y^3*X^-4 ] .......................... Chiral maps with 484 edges .......................... Chiral map of genus 122 and type {8,8}_22 isomorphic to its dual Automorphism group of order 968 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-1*Y*X^-3*Y*X^4*Y*X^-3*Y^-2 ] .......................... Chiral maps with 486 edges .......................... Chiral map of genus 82 and type {4,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3*X*Y^-1)^2, Y^-4*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 82 and type {4,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^4, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 82 and type {4,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3*X*Y^-1)^2, Y^12, Y*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^3 ] Chiral map of genus 82 and type {6,6}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X^-2*Y*X^3*Y^3*X^-1*Y, Y^-1*X^-2*Y^-3*X^2*Y*X^-1*Y^3*X ] Chiral map of genus 136 and type {6,18}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^-3*Y^-1*X^2*Y^-2, Y^-1*X^2*Y^-1*X^-3*Y^2*X^-1*Y^-2 ] Chiral map of genus 136 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^2*Y^-1*X^-3*Y^2*X^-1*Y^-2 ] Chiral map of genus 136 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-3*Y^-3*X*Y^-1, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, Y^2*X*Y^-1*X*Y^-1*X*Y^-3*X*Y ] Chiral map of genus 136 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, Y^-2*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 136 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X^-2*Y*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X*Y^2 ] Chiral map of genus 136 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^3*X^-1*Y^-3 ] Chiral map of genus 154 and type {6,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^7*X*Y^-1*X^-1*Y^3*X^-2*Y^7 ] Chiral map of genus 160 and type {6,162}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^27*X^2*Y*X^-2*Y^26 ] Chiral map of genus 163 and type {12,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-2, X^12, Y^2*X^5*Y^-1*X*Y^-1*X*Y ] Chiral map of genus 163 and type {12,12}_18 isomorphic to its mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^12, Y*X^6*Y^-1*X^2*Y*X^-1, (X*Y^-2*X^3)^2 ] Chiral map of genus 163 and type {12,12}_18 isomorphic to its dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^12, Y*X^6*Y^-1*X^2*Y*X^-1, Y^-1*X^-1*Y*X^4*Y*X^-1*Y^-1*X^2 ] Chiral map of genus 163 and type {12,12}_18 isomorphic to its dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-2*X*Y ] Chiral map of genus 163 and type {12,12}_18 isomorphic to its dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, X^12, Y^2*X^5*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 190 and type {18,18}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, X*Y^-1*X^-5*Y*X^-1*Y*X^-3*Y^-1*X^2 ] Chiral map of genus 190 and type {18,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X*Y^-3*X^2*Y^-1*X*Y^2, X^18 ] Chiral map of genus 190 and type {18,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^3*X^4*Y*X^-1*Y^-1*X*Y, X^-1*Y*X^-1*Y*X^-2*Y*X^-5*Y^2*X^-3*Y ] Chiral map of genus 190 and type {18,18}_18 isomorphic to its mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, X^-2*Y*X^4*Y^-1*X*Y^-1*X*Y^-1, Y^3*X^4*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 190 and type {18,18}_18 isomorphic to its dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y*X^-2*Y^-1*X, Y^-3*X^4*Y^-2*X^2*Y^-1 ] Chiral map of genus 190 and type {18,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X*Y^-2*X^-1*Y*X^5*Y^-1*X*Y*X^-3*Y^-1*X ] Chiral map of genus 190 and type {18,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^3, X^2*Y^-1*X*Y^-1*X^2*Y^-1*X^-5*Y^-1*X^2 ] Chiral map of genus 208 and type {18,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y*X^-2*Y*X^-9*Y^2*X^-2, Y^-2*X^-1*Y^7*X*Y^-1*X*Y^2*X^-1*Y^-6 ] Chiral map of genus 208 and type {18,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, X^2*Y^-6*X^7*Y^-1*X*Y^-1 ] Chiral map of genus 208 and type {18,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y^3*X^4*Y*X^-1*Y^-1*X*Y, X^-18 ] Chiral map of genus 208 and type {18,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y*X^6*Y*X^-1*Y^2*X^-1, X^-1*Y*X^-2*Y*X^-9*Y^2*X^-2 ] Chiral map of genus 226 and type {54,54}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 972 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^-1*Y*X^-25*Y^2*X^-2*Y*X^-1*Y^2*X^-13*Y^2*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 488 edges .......................... Chiral map of genus 1 and type {4,4}_244 isomorphic to its dual Automorphism group of order 976 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 123 and type {8,8}_122 isomorphic to its dual Automorphism group of order 976 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 123 and type {8,8}_244 isomorphic to its dual Automorphism group of order 976 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 489 edges .......................... Chiral map of genus 1 and type {3,6}_326 not isomorphic to its dual or mirror-dual Automorphism group of order 978 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-2*X*Y^-1 ] .......................... Chiral maps with 490 edges .......................... Chiral map of genus 1 and type {4,4}_70 isomorphic to its dual Automorphism group of order 980 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 241 and type {196,196}_10 isomorphic to its dual Automorphism group of order 980 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^62*X^-2*Y*X^-1*Y*X^-1*Y*X^-2*Y^2*X^-13*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 492 edges .......................... Chiral map of genus 83 and type {4,12}_246 not isomorphic to its dual or mirror-dual Automorphism group of order 984 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^3*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 165 and type {12,12}_82 isomorphic to its dual Automorphism group of order 984 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 206 and type {24,24}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 984 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, X^2*Y^-1*X^4*Y^-3*X*Y^-1 ] .......................... Chiral maps with 494 edges .......................... Chiral map of genus 235 and type {76,76}_26 isomorphic to its dual Automorphism group of order 988 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y*X^-1*Y^2*X^-2*Y*X^-2*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 495 edges .......................... Chiral map of genus 188 and type {10,45}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 990 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^-1*Y^3*X^-2*Y^2*X^-1*Y^-3 ] Chiral map of genus 188 and type {10,45}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 990 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X*Y^-1*X^5*Y*X^-1*Y^-1*X*Y^-2, Y*X^-2*Y*X^-4*Y^7 ] Chiral map of genus 199 and type {15,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 990 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X^7*Y^2*X^-2*Y*X^-1, X^-15 ] Chiral map of genus 199 and type {15,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 990 with defining relations: [ (X*Y)^2, Y^3*X^4*Y*X^-1*Y^-1*X*Y, Y*X^7*Y^4*X^-1*Y, X^-15 ] Chiral map of genus 232 and type {45,90}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 990 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X^-22*Y^7*X^-10*Y*X^-1*Y*X^-2 ] Chiral map of genus 232 and type {45,90}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 990 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-1*Y^22*X^-1*Y*X^-2*Y^5*X^-11*Y^2 ] .......................... Chiral maps with 496 edges .......................... Chiral map of genus 217 and type {31,31}_4 isomorphic to its mirror-dual Automorphism group of order 992 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^4*X^-1, X^3*Y^-1*X*Y^-12*X*Y^-1*X^8*Y^-2*X^2 ] Chiral map of genus 217 and type {31,31}_4 isomorphic to its mirror-dual Automorphism group of order 992 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^3*X^-1*Y, X*Y^-1*X^2*Y^-1*X^10*Y^-1*X^2*Y^-1*X^7*Y^-4*X ] Chiral map of genus 217 and type {31,31}_4 isomorphic to its mirror-dual Automorphism group of order 992 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-2, X^4*Y^-14*X^9*Y^-2*X*Y^-1 ] .......................... Chiral maps with 497 edges .......................... Chiral map of genus 143 and type {7,14}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 994 with defining relations: [ (X*Y)^2, X^7, Y^-2*X*Y^-1*X^-2*Y^-2*X^2*Y^-1 ] Chiral map of genus 143 and type {7,14}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 994 with defining relations: [ (X*Y)^2, X^7, Y^-4*X^-2*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 143 and type {7,14}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 994 with defining relations: [ (X*Y)^2, X^7, X^2*Y^-2*X^-2*Y^-3*X*Y^-1 ] .......................... Chiral maps with 500 edges .......................... Chiral map of genus 1 and type {4,4}_50 isomorphic to its dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 1 and type {4,4}_250 isomorphic to its dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 101 and type {4,20}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4, Y^-2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^-2 ] Chiral map of genus 101 and type {4,20}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 121 and type {4,100}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^25*X^2*Y*X^-1*Y^-2*X*Y^22 ] Chiral map of genus 126 and type {8,8}_10 isomorphic to its mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, X*Y^-4*X^-1*Y*X^-1*Y^-2, X*Y^-1*X^4*Y*X^-2*Y^-1 ] Chiral map of genus 196 and type {10,100}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^10*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^4 ] Chiral map of genus 196 and type {10,100}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^10*X^2*Y^3*X^-2*Y^7 ] Chiral map of genus 201 and type {20,20}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^4*X*Y^-1*X^2*Y^-2*X*Y^3, X^2*Y^-1*X^9*Y^-2*X^2*Y^-1*X*Y^-2 ] Chiral map of genus 201 and type {20,20}_10 isomorphic to its dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, X^-1*Y^4*X^-6*Y^2*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 201 and type {20,20}_10 isomorphic to its dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^-2*Y*X^3*Y^-2*X*Y^2, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1, X^2*Y^-1*X^12*Y^-3*X^2 ] Chiral map of genus 201 and type {20,20}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y*X^-1*Y^-2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^2*Y^-5*X^11*Y^-1*X ] Chiral map of genus 201 and type {20,20}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^-1*Y^2*X^2*Y^-2*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^3*Y^-2*X^9*Y^-3*X*Y^-1*X ] Chiral map of genus 201 and type {20,20}_50 isomorphic to its dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1*X, X*Y^-1*X^12*Y^-2*X*Y^-3 ] Chiral map of genus 216 and type {20,50}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^-3*X^-1*Y*X^3*Y^-6 ] Chiral map of genus 216 and type {20,50}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^-1*X^-1*Y*X*Y^-2*X^2*Y^-6 ] Chiral map of genus 221 and type {20,100}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X*Y^-3*X^3*Y^6, X^3*Y^-1*X^10*Y^-1*X^3*Y^-2 ] Chiral map of genus 221 and type {20,100}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^4*X*Y^-1*X^2*Y^-2*X*Y^3, X^3*Y^-1*X^10*Y^-1*X^3*Y^-2 ] Chiral map of genus 226 and type {40,40}_10 isomorphic to its mirror-dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y^4*X^-1, Y^-1*X*Y^-1*X*Y^-1*X^8*Y^-4*X*Y^-2 ] Chiral map of genus 241 and type {100,100}_10 isomorphic to its dual Automorphism group of order 1000 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y*X^-63*Y^4*X^-2*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 504 edges .......................... Chiral map of genus 43 and type {3,12}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 64 and type {3,24}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^3, Y^-2*X^-1*Y^2*X^-1*Y^3*X*Y^-1*X*Y^-3*X*Y^-1, Y*X*Y^-5*X^-1*Y*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 118 and type {4,56}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^14*X^-1*Y^-2*X*Y*X^-1*Y^-3*X*Y^8 ] Chiral map of genus 85 and type {6,6}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X^-1*Y^2*X*Y^-1 ] Chiral map of genus 85 and type {6,6}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X ] Chiral map of genus 127 and type {6,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2 ] Chiral map of genus 127 and type {6,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^12, Y^2*X*Y^-1*X^-1*Y^3*X^-1*Y^4*X^-1*Y^2, Y^2*X*Y^-2*X*Y^-2*X^2*Y*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 127 and type {6,12}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y^-1*X^-1*Y*X^2*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 148 and type {6,24}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-7*X^3*Y^-5, (Y^2*X^-1*Y^2)^3, Y^-2*X^-1*Y^3*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 148 and type {6,24}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y*X^-2*Y*X*Y^-1*X^-2*Y^-1*X*Y^4 ] Chiral map of genus 148 and type {6,24}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-2*X^2*Y^-1*X^2*Y^-5, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 148 and type {6,24}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^24 ] Chiral map of genus 148 and type {6,24}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^24 ] Chiral map of genus 172 and type {8,28}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^5*X*Y^-2*X^-2*Y^-1*X*Y*X^-2*Y^5 ] Chiral map of genus 181 and type {8,56}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y^-2*X^-1*Y^2*X*Y^-3*X*Y^5*X^-1*Y^-2 ] Chiral map of genus 183 and type {9,36}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^-5*X^-2*Y^-5*X, Y*X^-1*Y*X^-1*Y^3*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 169 and type {12,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^-3 ] Chiral map of genus 169 and type {12,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^12, (X*Y^-1*X^4)^2, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 190 and type {12,24}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, Y^-4*X^3*Y*X^-2*Y^-1*X ] Chiral map of genus 190 and type {12,24}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y^-3*X^4*Y*X^-2*Y^-2, Y^2*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 190 and type {12,24}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^4*X*Y^-2*X*Y^6, X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y ] Chiral map of genus 190 and type {12,24}_168 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^-2*X^-1*Y^2*X*Y^-1*X^-2*Y^-7 ] Chiral map of genus 209 and type {14,63}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-2*X^-1*Y^2*X^-2*Y^4*X^-1*Y^-1 ] Chiral map of genus 197 and type {18,18}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-2*Y^3*X^-10*Y^3, X^-1*Y*X^-1*Y^-2*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^-2*X^-1 ] Chiral map of genus 211 and type {18,36}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X, Y^-1*X*Y^-1*X*Y^-3*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 218 and type {18,72}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4, (X^-2*Y^2*X^-2*Y*X^-1*Y)^2 ] Chiral map of genus 218 and type {18,72}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^-1*X*Y^-3*X*Y^-1*X^10*Y^-1 ] Chiral map of genus 217 and type {21,42}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y^-6*X^6*Y^-1*X^2*Y^-2*X^2*Y^-1*X ] Chiral map of genus 211 and type {24,24}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y, X*Y^-3*X^16*Y^-3*X ] Chiral map of genus 211 and type {24,24}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y^5, X^-1*Y^3*X^-4*Y^2*X^-1*Y^2*X^-5*Y^2*X^-2*Y*X^-1 ] Chiral map of genus 211 and type {24,24}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-5, X*Y^-2*X^4*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 211 and type {24,24}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^8*Y^-1*X^2*Y^-1, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 226 and type {28,56}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, Y^-2*X^6*Y^-3*X*Y^-1*X ] Chiral map of genus 225 and type {36,36}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^-10*Y*X^-1*Y*X^-1*Y^3*X^-11*Y^2*X^-1*Y*X^-2*Y ] Chiral map of genus 232 and type {36,72}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4, X^-2*Y^2*X^-2*Y*X^-1*Y*X^-3*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 232 and type {36,72}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, X^2*Y^-2*X^2*Y^-1*X^10*Y^-1 ] Chiral map of genus 235 and type {56,56}_6 isomorphic to its dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^35*Y^-1*X*Y^-3*X^16 ] Chiral map of genus 241 and type {63,126}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X*Y^-1*X*Y^-44*X*Y^-1*X^10*Y^-1*X*Y^-1*X ] Chiral map of genus 239 and type {72,72}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-1*Y*X^-38*Y^3*X^-1*Y^4*X^-1*Y^2*X^-10*Y^2*X^-9 ] Chiral map of genus 239 and type {72,72}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-1*Y*X^-9*Y*X^-1*Y*X^-1*Y^3*X^-12*Y*X^-1*Y*X^-3 ] Chiral map of genus 245 and type {126,126}_4 isomorphic to its mirror-dual Automorphism group of order 1008 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^94*X^-1*Y*X^-13*Y^12*X^-2*Y ] .......................... Chiral maps with 505 edges .......................... Chiral map of genus 102 and type {5,10}_202 not isomorphic to its dual or mirror-dual Automorphism group of order 1010 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-3*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 102 and type {5,10}_202 not isomorphic to its dual or mirror-dual Automorphism group of order 1010 with defining relations: [ (X*Y)^2, X^5, (X*Y^-3*X)^2, (X*Y^-2*X*Y^-1)^2, Y^-4*X*Y^-1*X^-2*Y^-2*X*Y^2*X^-1*Y^-1 ] .......................... Chiral maps with 506 edges .......................... Chiral map of genus 208 and type {22,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1012 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, X^-1*Y^2*X^4*Y^-1*X*Y^3, X^-1*Y^2*X^-2*Y^2*X^-2*Y*X^-1*Y*X^-4*Y*X^-1*Y*X^-3 ] Chiral map of genus 208 and type {22,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1012 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, X^-2*Y^2*X^3*Y^-2*X*Y^2, X^-1*Y*X^-2*Y*X^-1*Y^3*X^-9*Y*X^-1*Y^2 ] Chiral map of genus 208 and type {22,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1012 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^-2*Y*X^4*Y^-1*X*Y^2*X^-1, X*Y^-3*X*Y^-5*X^5*Y^-1*X^2*Y^-1*X^3 ] Chiral map of genus 208 and type {22,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1012 with defining relations: [ (X*Y)^2, Y*X^-1*Y^2*X^2*Y^-2*X*Y, Y*X*Y^-2*X^3*Y*X^-2*Y^2, Y^-4*X^6*Y^-1*X^7*Y^-2*X*Y^-1 ] Chiral map of genus 208 and type {22,22}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1012 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X^6*Y*X^-1*Y*X^-1*Y, X*Y^-2*X^2*Y^-2*X^11*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 507 edges .......................... Chiral map of genus 1 and type {3,6}_338 not isomorphic to its dual or mirror-dual Automorphism group of order 1014 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-3*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 157 and type {6,39}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1014 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-7 ] Chiral map of genus 235 and type {39,78}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1014 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^-1*Y^2*X^-2*Y*X^-1*Y^5*X^-1*Y^5*X^-10*Y*X^-1*Y^5*X^-3*Y ] .......................... Chiral maps with 510 edges .......................... Chiral map of genus 171 and type {12,12}_170 isomorphic to its dual Automorphism group of order 1020 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y*X^-1*Y^2*X^2*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y*X^2*Y*X^-1 ] Chiral map of genus 171 and type {12,12}_170 isomorphic to its dual Automorphism group of order 1020 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X ] Chiral map of genus 239 and type {60,60}_34 isomorphic to its dual Automorphism group of order 1020 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X, Y^-1*X^2*Y^-2*X*Y^-1*X^12*Y^-2*X*Y^-3*X*Y^-1*X*Y^-1*X ] Chiral map of genus 251 and type {204,204}_10 isomorphic to its dual Automorphism group of order 1020 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^70*Y^-11*X^10*Y^-2*X*Y^-3*X*Y^-1*X*Y^-2 ] .......................... Chiral maps with 512 edges .......................... Chiral map of genus 65 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^2*X*Y^-1*X*Y^-1*X^-2*Y^-2*X*Y*X^-1*Y, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 65 and type {4,8}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X*Y^-1*X*Y^4*X^-1*Y, (X*Y^-2)^4, X^-1*Y^2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 97 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, X^-1*Y^2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 97 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^4, Y^2*X*Y^-1*X*Y^-1*X^-2*Y^-2*X*Y*X^-1*Y, Y^3*X^-1*Y*X^-1*Y*X^2*Y^2*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 113 and type {4,32}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 129 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-2*Y*X^3*Y^-1*X*Y^2, X*Y^-1*X*Y^-1*X^3*Y^-2*X*Y^2 ] Chiral map of genus 129 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y ] Chiral map of genus 129 and type {8,8}_8 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^8, X*Y^-1*X*Y^-1*X^3*Y^-2*X*Y^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X*Y^-1*X^-1*Y*X^3*Y^-3*X*Y^-1 ] Chiral map of genus 129 and type {8,8}_8 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^-1*Y^-4*X^4*Y^4*X^-3 ] Chiral map of genus 129 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, (X*Y^-1*X)^4, X^-2*Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 129 and type {8,8}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, Y*X^3*Y^-1*X^-2*Y^-1*X^3*Y, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^2 ] Chiral map of genus 161 and type {8,16}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, X^-2*Y*X^3*Y^-1*X*Y^2, X*Y^-1*X*Y^-1*X^3*Y^-2*X*Y^2, Y*X*Y^-3*X^2*Y^4*X^-1 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^-2*X^-1*Y*X^3*Y^-1*X*Y^-1*X*Y^-1, Y^-1*X^-1*Y^2*X^3*Y*X^-2*Y^-2, Y*X^-1*Y^2*X^3*Y^-2*X*Y*X^-1 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, X*Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X^-2*Y*X^3*Y^2*X^-1*Y^-2 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, (X*Y^-2*X)^2, Y^-1*X^-2*Y*X^3*Y^2*X^-1*Y^-2 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y^2*X^3*Y^-2*X*Y*X^-1 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X*Y^-1*X*Y^-1*X^3*Y^-2*X*Y^2 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, X^-2*Y*X^3*Y^-1*X*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, X*Y^-1*X*Y^-1*X^3*Y^-2*X*Y^2, X^-1*Y*X^2*Y^-1*X^2*Y^-2*X*Y^-2, Y^-2*X*Y^-2*X^2*Y*X^-1*Y^-3 ] Chiral map of genus 161 and type {8,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2 ] Chiral map of genus 161 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, X^-1*Y*X^-1*Y*X^3*Y^-2*X*Y^2 ] Chiral map of genus 161 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-2*X^3*Y*X^-1*Y^-2*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 161 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-3*X^2*Y^-3*X*Y, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 161 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, (X*Y^-2)^4, Y^2*X*Y^-1*X*Y^-1*X^2*Y^-3*X^2*Y ] Chiral map of genus 177 and type {8,32}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-1*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y^-1, Y*X*Y^-3*X^2*Y^-3*X*Y, Y^5*X^-1*Y*X^-2*Y^-6*X*Y^2 ] Chiral map of genus 177 and type {8,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-5 ] Chiral map of genus 177 and type {8,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y^2*X*Y^-1*X^3*Y*X^-1*Y^-4 ] Chiral map of genus 189 and type {8,128}_128 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^16*X^-2*Y^4*X^-1*Y^-1*X*Y^11 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, X*Y^-1*X^5*Y*X^-1*Y^-2*X ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y*X^5*Y^-1*X^2*Y^-2 ] Chiral map of genus 193 and type {16,16}_8 isomorphic to its mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X*Y^-1*X^5*Y*X^-1*Y^-2*X, Y*X*Y^-2*X^3*Y^-1*X*Y^-1*X*Y, X*Y^-1*X^-1*Y*X^3*Y^-3*X*Y^-1 ] Chiral map of genus 193 and type {16,16}_8 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-1*Y*X^5*Y^-1*X^2*Y^-2, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X*Y^-1*X^3*Y^-2*X*Y^2 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^16 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-3*X*Y^4, X^16 ] Chiral map of genus 193 and type {16,16}_8 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16 ] Chiral map of genus 193 and type {16,16}_8 isomorphic to its mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^16 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X*Y^-1*X^5*Y*X^-1*Y^-2*X, Y*X*Y^-2*X^3*Y^-1*X*Y^-1*X*Y, Y^-1*X^-1*Y^2*X^3*Y*X^-2*Y^-2 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, X*Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-3, Y*X*Y^-3*X^2*Y^4*X^-1 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^-2*Y*X^3*Y^-1*X*Y^2, X*Y^-1*X^6*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^-1*Y*X^5*Y^-1*X^2*Y^-2, X*Y^-1*X*Y^-1*X^3*Y^-2*X*Y^2 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, X*Y^-1*X^5*Y*X^-1*Y^-2*X, Y*X*Y^-1*X*Y^-1*X^3*Y^5*X^-1 ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X*Y^-1*X^5*Y*X^-1*Y^-2*X, Y*X*Y^-2*X^3*Y^-1*X*Y^-1*X*Y ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^-1*Y*X^5*Y^-1*X^2*Y^-2 ] Chiral map of genus 193 and type {16,16}_8 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y ] Chiral map of genus 193 and type {16,16}_8 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, X^-1*Y*X^5*Y^-1*X^2*Y^-2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X ] Chiral map of genus 193 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X*Y^-1*X^3*Y^-2*X*Y^2 ] Chiral map of genus 193 and type {16,16}_16 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, X^16 ] Chiral map of genus 193 and type {16,16}_16 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-2*X^3*Y*X^-1*Y^-2*X ] Chiral map of genus 193 and type {16,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y*X*Y^-3*X^2*Y^-3*X*Y, X^-1*Y*X^6*Y^-2*X*Y^3 ] Chiral map of genus 193 and type {16,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-1*X^-1*Y^2*X^2*Y^-1*X*Y^-2, X^16 ] Chiral map of genus 209 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X*Y^-2*X^4*Y*X^-1*Y^-1*X^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-5*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 209 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y*X^-2*Y^-1, Y^5*X^3*Y^-2*X^-1*Y*X^-2*Y^8 ] Chiral map of genus 209 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-4*X^3*Y^3*X^-1*Y^-1, Y*X^2*Y^-2*X^3*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 209 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-4*X^3*Y^3*X^-1*Y^-1 ] Chiral map of genus 209 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-2*X^3*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 209 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y*X*Y^-3*X^2*Y^4*X^-1, Y*X^7*Y^3*X^-1*Y^2, Y^2*X*Y^-2*X^3*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 209 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, Y^-4*X^3*Y^3*X^-1*Y^-1 ] Chiral map of genus 209 and type {16,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-4*X^3*Y^3*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X ] Chiral map of genus 217 and type {16,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X^16, Y^-4*X^-1*Y^4*X^-2*Y^6*X^-1*Y^-2 ] Chiral map of genus 217 and type {16,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^4*X^3*Y^-2*X*Y^2, X^16 ] Chiral map of genus 217 and type {16,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, Y^-2*X^9*Y^-1*X^2*Y^-1*X ] Chiral map of genus 217 and type {16,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X^16, Y^-2*X^-1*Y*X*Y^-5*X^-1*Y^6*X^-1*Y^-2 ] Chiral map of genus 221 and type {16,128}_128 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^16*X^2*Y*X^-2*Y^15 ] Chiral map of genus 225 and type {32,32}_8 isomorphic to its mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-5 ] Chiral map of genus 225 and type {32,32}_8 isomorphic to its mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y^-1*X*Y^-2*X^3*Y*X^-1*Y^-2*X, X^2*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^2 ] Chiral map of genus 225 and type {32,32}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^8*Y^-7 ] Chiral map of genus 225 and type {32,32}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-3*X*Y^4, X^9*Y^-3*X*Y^-3 ] Chiral map of genus 225 and type {32,32}_8 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^2*Y^-1*X^6*Y^-1*X^3*Y^-2*X ] Chiral map of genus 225 and type {32,32}_8 isomorphic to its mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^9*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 225 and type {32,32}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3 ] Chiral map of genus 225 and type {32,32}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^3*Y^4*X^-1*Y^-1 ] Chiral map of genus 225 and type {32,32}_16 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-5*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 225 and type {32,32}_16 isomorphic to its dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, X^11*Y^-1*X^3*Y^-1 ] Chiral map of genus 225 and type {32,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-1*X^4*Y^2*X^-3, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, X^10*Y^-3*X^2*Y^-1 ] Chiral map of genus 225 and type {32,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-2*Y^2, X^11*Y^-1*X^3*Y^-1*X^10*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 233 and type {32,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-4*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 233 and type {32,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, X^-1*Y*X*Y^-2*X^2*Y^-5 ] Chiral map of genus 233 and type {32,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^4*X^3*Y^-2*X*Y^2, X^10*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 233 and type {32,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, Y^-2*X^7*Y^-2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 233 and type {32,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X^11*Y^-1*X^3*Y^-1, Y^-2*X^-1*Y*X*Y^-5*X^-1*Y^6*X^-1*Y^-2 ] Chiral map of genus 233 and type {32,64}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y*X^12*Y*X^-2*Y^-2*X^-2, Y^-7*X^2*Y^-1*X^-6*Y^-8 ] Chiral map of genus 241 and type {64,64}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1024 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-2*Y^2, X^11*Y^-1*X^3*Y^-1*X^10*Y^-1*X^3*Y^-1*X ] .......................... Chiral maps with 513 edges .......................... Chiral map of genus 1 and type {3,6}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 115 and type {6,9}_342 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, Y^-1*X^2*Y^2*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1*X*Y^-1*X^-1*Y*X^2 ] Chiral map of genus 115 and type {6,9}_342 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^2*X^2*Y^-1*X ] Chiral map of genus 115 and type {6,9}_342 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-2*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1*X*Y^-1*X^-1*Y*X*Y^-1 ] Chiral map of genus 169 and type {6,171}_342 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-29*X^2*Y^-1*X*Y^4*X^-1*Y^-23 ] Chiral map of genus 172 and type {9,18}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^3*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 172 and type {9,18}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1 ] Chiral map of genus 172 and type {9,18}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, X^-2*Y*X^4*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 172 and type {9,18}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^3*X^4*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 229 and type {27,54}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^-2*X*Y, X^-1*Y*X^-3*Y^5*X^-11*Y^6 ] Chiral map of genus 229 and type {27,54}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X^6*Y^3*X^-2, X^6*Y^-3*X*Y^-2*X*Y^-1*X^6*Y^-4*X*Y^-2 ] Chiral map of genus 229 and type {27,54}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y^2*X^-1, X^2*Y^-1*X*Y^-2*X^3*Y^-1*X^11*Y^-1*X^2*Y^-1*X^2 ] Chiral map of genus 229 and type {27,54}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y^-1*X*Y^-2*X*Y^-1*X*Y^-3*X^10*Y^-1*X^2*Y^-1*X^2*Y^-1 ] Chiral map of genus 250 and type {114,171}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1026 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X*Y^-33*X*Y^-1*X^2*Y^-1*X*Y^-2*X^10*Y^-2*X*Y^-2 ] .......................... Chiral maps with 514 edges .......................... Chiral map of genus 1 and type {4,4}_514 isomorphic to its dual Automorphism group of order 1028 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 516 edges .......................... Chiral map of genus 1 and type {3,6}_172 not isomorphic to its dual or mirror-dual Automorphism group of order 1032 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 130 and type {6,12}_172 not isomorphic to its dual or mirror-dual Automorphism group of order 1032 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X^2 ] Chiral map of genus 130 and type {6,12}_172 not isomorphic to its dual or mirror-dual Automorphism group of order 1032 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 173 and type {12,12}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1032 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X ] .......................... Chiral maps with 518 edges .......................... Chiral map of genus 223 and type {28,28}_74 isomorphic to its dual Automorphism group of order 1036 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 520 edges .......................... Chiral map of genus 1 and type {4,4}_260 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 1 and type {4,4}_260 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 105 and type {4,20}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^20 ] Chiral map of genus 121 and type {4,52}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^52 ] Chiral map of genus 131 and type {8,8}_130 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y^2*X^-2*Y^-2*X*Y^-1*X ] Chiral map of genus 131 and type {8,8}_130 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-2*X^2*Y^2*X ] Chiral map of genus 131 and type {8,8}_260 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-2*Y^2*X^-2*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 131 and type {8,8}_260 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X ] Chiral map of genus 183 and type {8,40}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 183 and type {8,40}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-2*X^-1*Y*X^-2*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 191 and type {8,104}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^13*X*Y^-1*X*Y^6*X^-2*Y^6 ] Chiral map of genus 191 and type {8,104}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^13*X^2*Y*X^-1*Y^-2*X*Y^10 ] Chiral map of genus 209 and type {20,20}_52 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2, X^-2*Y^3*X^-1*Y^2*X^-9*Y^3 ] Chiral map of genus 235 and type {40,40}_26 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-1*X*Y^-2*X^2*Y^-2*X^2*Y^-1*X^2*Y^-6*X^10*Y^-2*X*Y^-3*X*Y^-1*X^3 ] Chiral map of genus 235 and type {40,40}_52 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2, X^-1*Y^4*X^-1*Y^2*X^-5*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {52,52}_20 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y*X^-15*Y^5*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-10*Y^7*X^-1*Y^3 ] Chiral map of genus 251 and type {104,104}_10 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^72*Y^-11*X^10*Y^-2*X*Y^-3*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 251 and type {104,104}_20 isomorphic to its dual Automorphism group of order 1040 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X*Y^-21*X*Y^-5*X^12*Y^-2*X*Y^-3*X*Y^-1*X^2*Y^-1 ] .......................... Chiral maps with 522 edges .......................... Chiral map of genus 1 and type {4,4}_174 isomorphic to its dual Automorphism group of order 1044 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X ] Chiral map of genus 233 and type {36,36}_58 isomorphic to its dual Automorphism group of order 1044 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^-1*X*Y^-2*X*Y^-1, X^-2*Y^2*X^-1*Y*X^-1*Y^2*X^-3*Y*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 525 edges .......................... Chiral map of genus 1 and type {3,6}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1050 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y ] Chiral map of genus 169 and type {6,75}_350 not isomorphic to its dual or mirror-dual Automorphism group of order 1050 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-13*X^2*Y^-1*X^2*Y^-6*X*Y*X^-1*Y^-4 ] Chiral map of genus 211 and type {15,30}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1050 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y*X^-7*Y^3*X^-1*Y^2*X^-1 ] Chiral map of genus 253 and type {75,150}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1050 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^42*X^-3*Y^4*X^-1*Y^5*X^-11*Y*X^-1*Y*X^-2*Y^2*X^-1*Y ] .......................... Chiral maps with 530 edges .......................... Chiral map of genus 1 and type {4,4}_530 isomorphic to its dual Automorphism group of order 1060 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2 ] Chiral map of genus 1 and type {4,4}_530 isomorphic to its dual Automorphism group of order 1060 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 213 and type {20,20}_106 isomorphic to its dual Automorphism group of order 1060 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 261 and type {212,212}_10 isomorphic to its dual Automorphism group of order 1060 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^74*Y^-11*X^11*Y^-1*X^3*Y^-4*X*Y^-1 ] .......................... Chiral maps with 532 edges .......................... Chiral map of genus 259 and type {133,133}_4 isomorphic to its mirror-dual Automorphism group of order 1064 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-16*X^13*Y^-1*X*Y^-97*X*Y^-1 ] .......................... Chiral maps with 534 edges .......................... Chiral map of genus 179 and type {12,12}_178 isomorphic to its dual Automorphism group of order 1068 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y*X^-2*Y^-2*X*Y^-1*X^2*Y^-1 ] .......................... Chiral maps with 538 edges .......................... Chiral map of genus 1 and type {4,4}_538 isomorphic to its dual Automorphism group of order 1076 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 540 edges .......................... Chiral map of genus 91 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^4, Y*X*Y^-3*X*Y^4, Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-1*X*Y, Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1 ] Chiral map of genus 91 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 131 and type {4,108}_270 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^27*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^20 ] Chiral map of genus 169 and type {6,45}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-2*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-2*Y^-2, Y^-7*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X^2*Y^-4 ] Chiral map of genus 178 and type {6,180}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^30*X^2*Y*X^-1*Y^-5*X*Y^24 ] Chiral map of genus 181 and type {12,12}_30 isomorphic to its dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^12, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-2*X^3*Y*X^-2*Y^2, Y*X^-1*Y^2*X^3*Y^-1*X^2*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 181 and type {12,12}_30 isomorphic to its dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-2*X^3*Y*X^-2*Y^2 ] Chiral map of genus 181 and type {12,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-2*X*Y^-1*X)^2, X*Y^-1*X*Y^-2*X^2*Y^-5 ] Chiral map of genus 181 and type {12,12}_30 isomorphic to its dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, X^2*Y^-1*X^3*Y^2*X^-1*Y^-1, Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 181 and type {12,12}_30 isomorphic to its dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-1*Y*X^-2*Y^-2*X*Y^-1*X^-1*Y*X^-1 ] Chiral map of genus 211 and type {12,36}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^-5*X^-1*Y^2*X*Y^-2*X^2*Y^-2*X*Y^5*X^-3*Y^-2 ] Chiral map of genus 211 and type {12,36}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^9*X^2*Y^2*X^-1*Y^-2*X*Y^5 ] Chiral map of genus 211 and type {12,36}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y*X*Y^-2*X^3*Y*X^-2*Y^2 ] Chiral map of genus 211 and type {12,36}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, X^12, Y^-2*X^5*Y^-3*X*Y^-1 ] Chiral map of genus 214 and type {12,45}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, Y^7*X^-2*Y*X^5*Y^-1*X*Y^6 ] Chiral map of genus 220 and type {12,90}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^15*X^-1*Y^-1*X^2*Y^-4*X*Y^10 ] Chiral map of genus 223 and type {12,180}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^15*X^3*Y^-1*X*Y^14 ] Chiral map of genus 232 and type {18,60}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^10*X^2*Y^2*X^-1*Y^-3*X*Y^5 ] Chiral map of genus 238 and type {30,36}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, Y^-1*X^-1*Y*X^5*Y*X^-1*Y^-1*X^3, Y^-5*X^-1*Y*X^-2*Y^3*X^-1*Y^-3 ] Chiral map of genus 241 and type {30,45}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2, Y^2*X^-6*Y^7 ] Chiral map of genus 250 and type {30,180}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-2*X^-1*Y^4*X^-3*Y^-6, X^-1*Y*X^-2*Y*X^-1*Y*X^-14*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 241 and type {36,36}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-3*X^11*Y^-2 ] Chiral map of genus 247 and type {36,60}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^-1*Y*X*Y^-1*X^-1*Y^2*X^-3*Y^-6 ] Chiral map of genus 244 and type {40,40}_6 isomorphic to its dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, X*Y^-2*X^10*Y^-1*X^2*Y^-1*X^2*Y^-1 ] Chiral map of genus 250 and type {45,60}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-2*X^4*Y*X^-1*Y^4, X^-11*Y*X^-2*Y ] Chiral map of genus 256 and type {60,90}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-2*X^-1*Y^4*X^-3*Y^-6, Y^-1*X*Y^-1*X*Y^-4*X^15*Y^-1*X*Y^-2*X^2*Y^-1 ] Chiral map of genus 259 and type {60,180}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^-34*Y*X^-2*Y*X^-1*Y^2*X^-1*Y^2*X^-11*Y*X^-2*Y*X^-1 ] Chiral map of genus 261 and type {108,108}_10 isomorphic to its dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^75*X^-1*Y^4*X^-3*Y*X^-11*Y^8*X^-3 ] Chiral map of genus 262 and type {120,120}_6 isomorphic to its dual Automorphism group of order 1080 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-2*Y*X^-1*Y*X^-29*Y^3*X^-5*Y*X^-14*Y*X^-2 ] .......................... Chiral maps with 543 edges .......................... Chiral map of genus 1 and type {3,6}_362 not isomorphic to its dual or mirror-dual Automorphism group of order 1086 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] .......................... Chiral maps with 544 edges .......................... Chiral map of genus 1 and type {4,4}_136 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 69 and type {4,8}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 69 and type {4,8}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 103 and type {4,16}_272 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 103 and type {4,16}_272 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, X*Y^-2*X^-1*Y^2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 137 and type {8,8}_68 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^2*Y^-1 ] Chiral map of genus 137 and type {8,8}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X^-1*Y^3*X^4*Y^4*X^-1*Y^2 ] Chiral map of genus 137 and type {8,8}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 137 and type {8,8}_136 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 137 and type {8,8}_136 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 137 and type {8,8}_136 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-2*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^2*Y^-1 ] Chiral map of genus 137 and type {8,8}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, X^-2*Y*X^-3*Y^4*X*Y^-1 ] Chiral map of genus 137 and type {8,8}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3 ] Chiral map of genus 171 and type {8,16}_272 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 171 and type {8,16}_272 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 205 and type {16,16}_68 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y*X^-1*Y^2*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 205 and type {16,16}_68 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 205 and type {16,16}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, X*Y^-3*X^3*Y^-1*X^2*Y^2 ] Chiral map of genus 205 and type {16,16}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y^4*X^3*Y^-1*X^2*Y*X^-1, X*Y^-1*X^9*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 205 and type {16,16}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, X^16 ] Chiral map of genus 205 and type {16,16}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^3*Y^5, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, X^16 ] Chiral map of genus 205 and type {16,16}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y*X^-1*Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 205 and type {16,16}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, (X*Y^-2*X)^2, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3 ] Chiral map of genus 205 and type {16,16}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, (X*Y^-2*X)^2, X*Y^-3*X^3*Y^-1*X^2*Y^2 ] Chiral map of genus 239 and type {32,32}_34 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X, X*Y^-9*X^12*Y^-7*X^3 ] Chiral map of genus 239 and type {32,32}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X^-13*Y^3*X^-1*Y*X^-8*Y*X^-3*Y*X^-1 ] Chiral map of genus 239 and type {32,32}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^6*Y^-1*X*Y^-1*X*Y^-1*X^3*Y^-2*X^6*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-2*X ] Chiral map of genus 239 and type {32,32}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-1*X^4*Y^2*X^-1*Y^2, Y^-1*X^2*Y^-1*X^2*Y^-1*X^3*Y^-2*X^3*Y^-1*X*Y^-1*X^9*Y^-2*X^2*Y^-1 ] Chiral map of genus 239 and type {32,32}_68 isomorphic to its dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-2*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 239 and type {32,32}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y^4*X^3*Y^-1*X^2*Y*X^-1, X*Y^-2*X^6*Y^-1*X*Y^-5 ] Chiral map of genus 239 and type {32,32}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, X^10*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 239 and type {32,32}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1088 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^3*Y^5, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, X^9*Y^-1*X^3*Y^-3 ] .......................... Chiral maps with 546 edges .......................... Chiral map of genus 92 and type {6,6}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 92 and type {6,6}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-2*Y^-1 ] Chiral map of genus 92 and type {6,6}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y^2*X*Y^-1*X^-1*Y*X^2 ] Chiral map of genus 92 and type {6,6}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X*Y^-1*X^-2 ] Chiral map of genus 170 and type {6,42}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2, Y^2*X*Y^-4*X^-1*Y^3*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 170 and type {6,42}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y*X^-1*Y*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^2, X^2*Y^-4*X^-1*Y*X*Y^-1*X^2*Y^-1*X^2*Y^-7 ] Chiral map of genus 176 and type {6,78}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^13*X*Y^-1*X^2*Y^-1*X*Y^11 ] Chiral map of genus 176 and type {6,78}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^13*X^2*Y*X^-2*Y^4*X^-1*Y^-1*X*Y^7 ] Chiral map of genus 248 and type {42,42}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X^-1*Y^8*X^-2*Y*X^-1*Y^5*X^-15*Y*X^-1*Y^2*X^-2*Y^3 ] Chiral map of genus 260 and type {78,78}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^2*X^-43*Y*X^-1*Y*X^-1*Y^5*X^-13*Y^2*X^-3*Y*X^-2*Y^2*X^-1 ] Chiral map of genus 261 and type {84,84}_26 isomorphic to its dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-1*Y*X^-5*Y^10*X^-14*Y^5*X^-1*Y^3*X^-2 ] Chiral map of genus 261 and type {84,84}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1092 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X*Y^-1*X^2*Y^-16*X^2*Y^-3*X^2*Y^-1*X*Y^-1*X^8*Y^-3*X ] .......................... Chiral maps with 548 edges .......................... Chiral map of genus 1 and type {4,4}_274 isomorphic to its dual Automorphism group of order 1096 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 138 and type {8,8}_274 not isomorphic to its dual or mirror-dual Automorphism group of order 1096 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-2*X*Y^-4*X^4*Y^-1*X*Y*X^-1*Y^-1 ] .......................... Chiral maps with 549 edges .......................... Chiral map of genus 1 and type {3,6}_366 not isomorphic to its dual or mirror-dual Automorphism group of order 1098 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 184 and type {9,18}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1098 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y^3*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] .......................... Chiral maps with 550 edges .......................... Chiral map of genus 166 and type {10,10}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 1100 with defining relations: [ (X*Y)^2, X^10, Y^10, Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y^-1 ] Chiral map of genus 166 and type {10,10}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 1100 with defining relations: [ (X*Y)^2, X^10, Y^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 166 and type {10,10}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 1100 with defining relations: [ (X*Y)^2, X^10, Y^10, X*Y^-3*X^2*Y^-1*X*Y^-2 ] Chiral map of genus 166 and type {10,10}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 1100 with defining relations: [ (X*Y)^2, X^10, Y^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1 ] Chiral map of genus 251 and type {44,44}_50 isomorphic to its dual Automorphism group of order 1100 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, X^-2*Y^6*X^-6*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 254 and type {50,50}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1100 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^2*Y^-2*X^24*Y^-3*X^15*Y^-3*X ] Chiral map of genus 254 and type {50,50}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1100 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-1*Y^2*X^-2*Y^24*X^-4*Y*X^-2*Y*X^-10*Y^2*X^-1 ] Chiral map of genus 271 and type {220,220}_10 isomorphic to its dual Automorphism group of order 1100 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^77*X^-1*Y^7*X^-12*Y^8*X^-3 ] .......................... Chiral maps with 554 edges .......................... Chiral map of genus 1 and type {4,4}_554 isomorphic to its dual Automorphism group of order 1108 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] .......................... Chiral maps with 555 edges .......................... Chiral map of genus 149 and type {6,15}_370 not isomorphic to its dual or mirror-dual Automorphism group of order 1110 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^-1*X^2*Y^-1*X*Y^-1*X^-1*Y ] Chiral map of genus 223 and type {15,30}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1110 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y*X^-1*Y^-3*X^-1*Y^2*X*Y^-2*X^2*Y*X^-1*Y^-2*X*Y^2*X^-1*Y ] .......................... Chiral maps with 558 edges .......................... Chiral map of genus 94 and type {6,6}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 1116 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 94 and type {6,6}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 1116 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X*Y*X^-1*Y*X^-1*Y*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-2*Y*X ] Chiral map of genus 218 and type {18,18}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1116 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y^3*X^-11*Y^3, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-3*Y^-1*X ] .......................... Chiral maps with 560 edges .......................... Chiral map of genus 121 and type {4,28}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^28 ] Chiral map of genus 131 and type {4,56}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^56 ] Chiral map of genus 131 and type {4,56}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^14*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X*Y^8 ] Chiral map of genus 191 and type {8,28}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^28 ] Chiral map of genus 191 and type {8,28}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^28 ] Chiral map of genus 201 and type {8,56}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^14*X^-3*Y^-7*X*Y^7 ] Chiral map of genus 201 and type {8,56}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^14*X^-3*Y^-7*X*Y^7 ] Chiral map of genus 233 and type {14,70}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^14, (X*Y^-5*X)^2 ] Chiral map of genus 241 and type {16,112}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, X*Y^-1*X^-1*Y^6*X*Y^-5*X*Y^2 ] Chiral map of genus 241 and type {16,112}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, X*Y^-1*X^-1*Y^6*X*Y^-1*X*Y^6 ] Chiral map of genus 241 and type {28,28}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y^-2*X^6*Y^-1*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 241 and type {28,28}_20 isomorphic to its dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X*Y^-4*X^14*Y^-8*X ] Chiral map of genus 251 and type {28,56}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-20*Y^3*X^-1*Y^3*X^-1 ] Chiral map of genus 251 and type {28,56}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^-2*Y^2*X^-1*Y^3*X^-1*Y*X^-10*Y^3*X^-1*Y^3*X^-1 ] Chiral map of genus 261 and type {56,56}_20 isomorphic to its dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X^2*Y^-2*X*Y^-1*X^14*Y^-6*X*Y^-1 ] Chiral map of genus 261 and type {56,56}_20 isomorphic to its dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y*X^-19*Y^4*X^-1*Y^7*X^-12*Y^7*X^-1*Y^3 ] Chiral map of genus 265 and type {70,70}_4 isomorphic to its mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^3*Y^-1*X^52*Y^-1*X^11*Y^-2 ] Chiral map of genus 271 and type {112,112}_10 isomorphic to its dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^79*X^-1*Y^7*X^-12*Y^7*X^-1*Y^3 ] Chiral map of genus 271 and type {112,112}_20 isomorphic to its dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-1*Y^22*X^-1*Y*X^-1*Y^6*X^-12*Y^7*X^-1*Y^3 ] Chiral map of genus 273 and type {140,140}_4 isomorphic to its mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^3*X^-1, X^3*Y^-1*X^52*Y^-1*X^9*Y^-3*X ] Chiral map of genus 273 and type {140,140}_4 isomorphic to its mirror-dual Automorphism group of order 1120 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^101*X^-1*Y*X^-13*Y^19*X^-2*Y ] .......................... Chiral maps with 562 edges .......................... Chiral map of genus 1 and type {4,4}_562 isomorphic to its dual Automorphism group of order 1124 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 567 edges .......................... Chiral map of genus 1 and type {3,6}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y ] Chiral map of genus 64 and type {3,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^3, Y*X*Y^-5*X*Y^6, (Y^2*X^-1*Y^2)^3, Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 127 and type {6,9}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y*X^-1*Y^-2*X^2*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2*X^-1 ] Chiral map of genus 127 and type {6,9}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^6, Y^9, Y*X*Y^-2*X*Y^3, Y^-1*X^-3*Y*X^-1*Y*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y*X^-2*Y^-2*X^-1*Y*X^2 ] Chiral map of genus 127 and type {6,9}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y*X^-2*Y*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-2*X^-1*Y*X*Y^-1 ] Chiral map of genus 127 and type {6,9}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, Y^-1*X^-2*Y*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-2*X^-1*Y*X^2 ] Chiral map of genus 169 and type {6,27}_378 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^-27 ] Chiral map of genus 169 and type {6,27}_378 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-5*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X^2*Y^-1*X ] Chiral map of genus 169 and type {6,27}_378 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 187 and type {6,189}_378 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-32*X^2*Y^-1*X*Y^4*X^-1*Y^-26 ] Chiral map of genus 190 and type {9,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^3*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 190 and type {9,18}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^-2*X^-3*Y^-4, Y*X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 190 and type {9,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 190 and type {9,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X*Y^-2*X^2*Y*X^-1*Y^2*X^-1*Y^2 ] Chiral map of genus 190 and type {9,18}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 244 and type {18,63}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^18, Y^-11*X^-2*Y^-1*X*Y^5*X^-1*Y^-4 ] Chiral map of genus 253 and type {27,54}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y, X^-1*Y^6*X^-1*Y*X^-17*Y ] Chiral map of genus 268 and type {42,189}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^4*X^-2*Y*X^-10*Y^4 ] Chiral map of genus 271 and type {63,126}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y^-1*X*Y^-1*X^35*Y^-4*X*Y^-1*X^15*Y^-3*X ] Chiral map of genus 274 and type {81,162}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1134 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^48*X^-3*Y^5*X^-16*Y^3*X^-1*Y^2*X^-1*Y^2 ] .......................... Chiral maps with 570 edges .......................... Chiral map of genus 172 and type {6,30}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 1140 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^4 ] Chiral map of genus 172 and type {6,30}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 1140 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1, Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 248 and type {30,30}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1140 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y, X^7*Y^-2*X^10*Y^-2*X*Y^-4*X*Y^-1*X*Y^-1 ] Chiral map of genus 281 and type {228,228}_10 isomorphic to its dual Automorphism group of order 1140 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^78*X^-3*Y^2*X^-1*Y*X^-1*Y*X^-14*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 572 edges .......................... Chiral map of genus 131 and type {4,44}_286 not isomorphic to its dual or mirror-dual Automorphism group of order 1144 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^-5*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-1*X*Y*X^-1*Y^-9 ] Chiral map of genus 261 and type {44,44}_26 isomorphic to its dual Automorphism group of order 1144 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-2*Y^5*X^-1*Y^2*X^-3*Y*X^-1*Y^2*X^-1*Y*X^-14*Y^5*X^-1*Y^3*X^-1*Y ] .......................... Chiral maps with 574 edges .......................... Chiral map of genus 247 and type {28,28}_82 isomorphic to its dual Automorphism group of order 1148 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y^-2*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1 ] .......................... Chiral maps with 576 edges .......................... Chiral map of genus 49 and type {4,6}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^4, Y^6, X*Y^-3*X^-1*Y*X*Y^-1*X*Y^3*X^2*Y^-2, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 73 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2, (X*Y^-2)^4, X^-1*Y^-4*X*Y^-1*X^-2*Y^4*X^2*Y ] Chiral map of genus 73 and type {4,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^-2*X^-1*Y*X^-1*Y*X^2*Y^4*X*Y^-1 ] Chiral map of genus 109 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, X^-1*Y^2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y, Y^-3*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y^-2 ] Chiral map of genus 109 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^4, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y, (X*Y^-2)^4, Y^16 ] Chiral map of genus 113 and type {4,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4, (X*Y^-5)^2, Y^18 ] Chiral map of genus 127 and type {4,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^32 ] Chiral map of genus 127 and type {4,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^4, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y, (X*Y^-2)^4, Y^-3*X^-1*Y^4*X*Y^-1*X^-1*Y^5*X^-1*Y^-3 ] Chiral map of genus 97 and type {6,6}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X^-2*Y*X*Y^-1*X^2*Y*X^-1*Y ] Chiral map of genus 97 and type {6,6}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1*X*Y^-2*X)^2, (X*Y^-2)^4, Y^-1*X^-2*Y*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X ] Chiral map of genus 97 and type {6,6}_24 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^6, Y^-2*X^2*Y^-1*X^2*Y*X^-1*Y^-2*X, X*Y^-3*X^-1*Y*X^2*Y^3*X^-2*Y^-1 ] Chiral map of genus 121 and type {6,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^8, Y^2*X^-1*Y*X^2*Y^-2*X*Y, (X*Y^-1)^6 ] Chiral map of genus 145 and type {6,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-3*X*Y^4, (X*Y^-1*X)^4, (X*Y^-1*X*Y^-2*X)^2, Y^-1*X*Y^-3*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 145 and type {6,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^12, X^2*Y^-1*X^2*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 145 and type {6,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1)^4, Y^-1*X^2*Y^-1*X^-3*Y^-3*X*Y^-1, Y^12 ] Chiral map of genus 145 and type {6,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y^12, Y*X^2*Y^-2*X^-2*Y^-1*X^2*Y*X^-2*Y ] Chiral map of genus 145 and type {6,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, (X*Y^-5)^2, Y*X^2*Y^-2*X^-2*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 145 and type {6,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 145 and type {6,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-5)^2, Y^-2*X^-1*Y*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 145 and type {6,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^-1*Y^2*X^-3*Y^-1*X^2*Y^-2, Y^-2*X^2*Y^-1*X^2*Y*X^-1*Y^-2*X ] Chiral map of genus 169 and type {6,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-1*X*Y^-3*X^2*Y^-3*X*Y^-1, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 169 and type {6,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1)^4, X*Y^-3*X^-2*Y*X^-1*Y^-1*X^2*Y^-1, Y^2*X*Y^-5*X^-1*Y^3*X^-2*Y^2 ] Chiral map of genus 145 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^-2*Y*X*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 145 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^-2*Y*X*Y^-1*X^3*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 145 and type {8,8}_12 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-2 ] Chiral map of genus 145 and type {8,8}_24 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, X^-1*Y*X*Y^-1*X^3*Y^-3*X*Y^-1 ] Chiral map of genus 145 and type {8,8}_24 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-2*Y^4*X ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^-2*Y*X*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^16 ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, X^-2*Y*X*Y^-1*X^-2*Y^-1*X^3*Y ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-1*X^3*Y^-1*X^-3*Y^-3*X^2*Y^-1 ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1 ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^-3*X^-1*Y*X^2*Y^-4*X, Y^16 ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-3*X^2*Y^-1*X*Y^3 ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3, Y^16 ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y^2*X*Y^-2*X^3*Y*X^-1*Y^-2*X*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y*X^2*Y^-3*X^2*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 181 and type {8,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y^2*X*Y^-2*X^3*Y*X^-1*Y^-2*X*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y*X^-1*Y*X*Y^-2*X^2*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 181 and type {8,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, X^-1*Y*X*Y^-1*X^3*Y^-3*X*Y^-1, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1 ] Chiral map of genus 181 and type {8,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y^16 ] Chiral map of genus 181 and type {8,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, X^-2*Y*X*Y^-1*X^-2*Y^-1*X^3*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 181 and type {8,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^2*X^-1*Y^2*X^2*Y^-3*X*Y ] Chiral map of genus 185 and type {8,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^18 ] Chiral map of genus 199 and type {8,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^-3*X^-1*Y*X^2*Y^-4*X, Y^-2*X^-1*Y^6*X^-2*Y^5*X^-1*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 199 and type {8,32}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3, Y^-1*X^-1*Y*X*Y^-1*X^-1*Y^10*X^-1*Y^-3 ] Chiral map of genus 193 and type {12,12}_12 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, X^12, Y^-1*X^6*Y^-5, Y^-1*X^2*Y^-1*X^3*Y^-3*X*Y^-1 ] Chiral map of genus 193 and type {12,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y*X^-1*Y*X*Y^-1*X^3*Y*X^-2*Y^-1*X*Y ] Chiral map of genus 193 and type {12,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^-2*X*Y*X^-1, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X*Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 193 and type {12,12}_24 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, X^-1*Y*X^5*Y*X^-1*Y*X^-1*Y, Y^-1*X^-2*Y*X^3*Y^-2*X*Y^-2 ] Chiral map of genus 217 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^16 ] Chiral map of genus 217 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, X^2*Y^-1*X^4*Y^-1*X*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X ] Chiral map of genus 217 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^2*Y^-1*X^4*Y^2*X^-2*Y^-1, Y*X^-4*Y^2*X^-2*Y^2*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 217 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X*Y^-2*X^4*Y*X^-3*Y^-1, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 217 and type {16,16}_12 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^16 ] Chiral map of genus 217 and type {16,16}_12 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-1*X*Y^-1*X^4*Y*X^-1*Y^-3 ] Chiral map of genus 217 and type {16,16}_24 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X^-5*Y^2*X^-1*Y^-1*X*Y^2, X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 217 and type {16,16}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^2*X^-1*Y^2*X^2*Y^-3*X*Y, X^16 ] Chiral map of genus 217 and type {16,16}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^-1*X^2*Y^-1*X, Y*X*Y^-2*X^4*Y^-3*X*Y^2 ] Chiral map of genus 217 and type {16,16}_24 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-2*X)^2, Y^-1*X*Y^-1*X^4*Y*X^-1*Y^-3 ] Chiral map of genus 217 and type {16,16}_24 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-2*X)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3 ] Chiral map of genus 241 and type {16,48}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y^-1 ] Chiral map of genus 249 and type {16,144}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^18*X^2*Y*X^-2*Y^17 ] Chiral map of genus 225 and type {18,18}_8 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X^3*Y^-1*X^3*Y*X^-2*Y*X^-2, X^-1*Y^2*X^-2*Y*X^-8*Y*X^-1*Y^2 ] Chiral map of genus 225 and type {18,18}_8 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y^2, Y*X^6*Y^5, X^-2*Y^2*X^-6*Y*X^-1*Y*X^-2*Y*X^-2 ] Chiral map of genus 241 and type {18,36}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y*X^-5, X^-1*Y^4*X^-2*Y*X^-4*Y*X^-3*Y^2 ] Chiral map of genus 241 and type {18,36}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X*Y^-2*X^3*Y^3*X^-2, X^-1*Y^4*X^-7*Y*X^-1*Y*X^-3 ] Chiral map of genus 253 and type {32,32}_12 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X*Y^-1*X^6*Y^-1*X^3*Y^-1*X^2 ] Chiral map of genus 253 and type {32,32}_12 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y*X^-1*Y^3*X^-1*Y*X^-3*Y^2*X^-8*Y^4*X^-2*Y*X^-1*Y^4 ] Chiral map of genus 253 and type {32,32}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, X^10*Y^-2*X^2*Y^-2 ] Chiral map of genus 257 and type {36,36}_8 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y^3*X^-2, X^-4*Y^2*X^-4*Y*X^-1*Y^4*X^-3*Y*X^-1*Y*X^-6*Y^2*X^-2*Y^3*X^-1 ] Chiral map of genus 257 and type {36,36}_8 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X^3*Y^-1*X^3*Y*X^-2*Y*X^-2, X^-1*Y^2*X^-2*Y*X^-6*Y*X^-2*Y^2*X^-1 ] Chiral map of genus 257 and type {36,36}_8 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y^2, Y*X^6*Y^5, X^-1*Y*X^-1*Y^2*X^-7*Y*X^-1*Y*X^-2*Y ] Chiral map of genus 265 and type {48,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-4*X^2*Y^-1*X^-2*Y^-7 ] Chiral map of genus 265 and type {48,48}_24 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, X*Y^-3*X^-1*Y^3*X*Y^-1*X^-9*Y^5 ] Chiral map of genus 271 and type {64,64}_6 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, Y*X^-39*Y*X^-6*Y*X^-1*Y*X^-11*Y^2*X^-1 ] Chiral map of genus 271 and type {64,64}_12 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^-2*Y^3*X^-1*Y*X^-3*Y^2*X^-8*Y^5*X^-2*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 281 and type {144,144}_8 isomorphic to its dual Automorphism group of order 1152 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^2*X^-2*Y*X^-1*Y^2*X^-3*Y^2*X^-8*Y^3*X^-1*Y^4*X^-1*Y*X^-4*Y ] .......................... Chiral maps with 578 edges .......................... Chiral map of genus 1 and type {4,4}_578 isomorphic to its dual Automorphism group of order 1156 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] Chiral map of genus 273 and type {68,68}_34 isomorphic to its dual Automorphism group of order 1156 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X, X*Y^-1*X^2*Y^-6*X^13*Y^-1*X*Y^-1*X^3*Y^-1*X^3*Y^-1 ] .......................... Chiral maps with 579 edges .......................... Chiral map of genus 1 and type {3,6}_386 not isomorphic to its dual or mirror-dual Automorphism group of order 1158 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y ] .......................... Chiral maps with 580 edges .......................... Chiral map of genus 1 and type {4,4}_290 isomorphic to its dual Automorphism group of order 1160 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 1 and type {4,4}_290 isomorphic to its dual Automorphism group of order 1160 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 117 and type {4,20}_290 not isomorphic to its dual or mirror-dual Automorphism group of order 1160 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 141 and type {4,116}_290 not isomorphic to its dual or mirror-dual Automorphism group of order 1160 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^29*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^22 ] Chiral map of genus 233 and type {20,20}_58 isomorphic to its dual Automorphism group of order 1160 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y^2*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, X^16*Y^-4 ] Chiral map of genus 281 and type {116,116}_10 isomorphic to its dual Automorphism group of order 1160 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y*X^-79*Y*X^-3*Y*X^-1*Y^3*X^-1*Y^2*X^-12*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 582 edges .......................... Chiral map of genus 98 and type {6,6}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 1164 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2*X^-1*Y*X^3*Y^-1*X ] Chiral map of genus 195 and type {12,12}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 1164 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, Y^3*X^-3*Y*X^-4*Y^-1*X*Y^3 ] Chiral map of genus 195 and type {12,12}_194 isomorphic to its dual Automorphism group of order 1164 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-2*Y^-2*X*Y^-1*X^2*Y*X^-1 ] .......................... Chiral maps with 584 edges .......................... Chiral map of genus 1 and type {4,4}_292 isomorphic to its dual Automorphism group of order 1168 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1 ] Chiral map of genus 147 and type {8,8}_146 isomorphic to its dual Automorphism group of order 1168 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-1 ] Chiral map of genus 147 and type {8,8}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1168 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-2*X^-1*Y*X^-3*Y*X^-1*Y^4*X ] Chiral map of genus 147 and type {8,8}_292 isomorphic to its dual Automorphism group of order 1168 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-1 ] .......................... Chiral maps with 585 edges .......................... Chiral map of genus 157 and type {6,15}_390 not isomorphic to its dual or mirror-dual Automorphism group of order 1170 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, X^2*Y*X^-1*Y*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^2 ] Chiral map of genus 235 and type {15,30}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1170 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y^-2*X*Y^-1*X*Y^-3*X^-1*Y*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 248 and type {18,45}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1170 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^2*X*Y^-1*X^-3*Y*X^-2*Y*X^-2 ] Chiral map of genus 274 and type {45,90}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1170 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, Y*X^-1*Y*X^-1*Y^2*X^-2*Y^2*X^-2*Y^3*X^-1*Y^2*X^-3*Y^2*X^-11*Y*X^-1*Y^6*X^-1*Y^2 ] .......................... Chiral maps with 586 edges .......................... Chiral map of genus 1 and type {4,4}_586 isomorphic to its dual Automorphism group of order 1172 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 588 edges .......................... Chiral map of genus 1 and type {3,6}_196 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 50 and type {4,6}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^4, Y^6, (X*Y^-2)^4, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 148 and type {6,12}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, (X*Y^-1*X)^4, (X*Y^-1)^6, Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y*X^-1 ] Chiral map of genus 148 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y^-2*X^-1*Y*X^-2*Y^-1*X^2*Y^2 ] Chiral map of genus 148 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^12, Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 148 and type {6,12}_196 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y^-1*X*Y^2*X*Y^-1*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 148 and type {6,12}_196 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^-2 ] Chiral map of genus 169 and type {6,21}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X*Y^-1*X^-2*Y*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 190 and type {6,84}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^14*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X*Y^9 ] Chiral map of genus 190 and type {6,84}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^14*X^2*Y^4*X^-1*Y^-1*X*Y^9 ] Chiral map of genus 197 and type {12,12}_14 isomorphic to its mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 197 and type {12,12}_14 isomorphic to its dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y^-2*X*Y^-1*X^3*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 197 and type {12,12}_14 isomorphic to its mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1 ] Chiral map of genus 197 and type {12,12}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y^-1*X*Y^-1*X^-2*Y*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X ] Chiral map of genus 232 and type {12,42}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y^-1*X*Y^-1, X^-1*Y*X*Y^-4*X^-1*Y*X^-3*Y^-8 ] Chiral map of genus 232 and type {12,42}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-2*X^4*Y^-1*X*Y^-3, Y^8*X^2*Y*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 239 and type {12,84}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y^-1*X*Y^-1, Y^-4*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^3*X^-1*Y^-4 ] Chiral map of genus 239 and type {12,84}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^2*X*Y^-2*X^-1*Y^3*X^-2*Y^7 ] Chiral map of genus 253 and type {21,42}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y^-2, X^17*Y^-1*X^2*Y^-1 ] Chiral map of genus 246 and type {24,24}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^4*Y^-2*X^2*Y^-1, (X^3*Y^-1)^3, Y*X^2*Y^-1*X^3*Y^4*X^-1 ] Chiral map of genus 274 and type {42,84}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-18*Y^2*X^-1*Y^2*X^-13*Y^2*X^-1*Y^2*X^-1 ] Chiral map of genus 274 and type {42,84}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^-2*Y^13*X^-3*Y^5*X^-10*Y*X^-3*Y^5 ] Chiral map of genus 281 and type {84,84}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^2*X^-49*Y*X^-1*Y*X^-1*Y^5*X^-13*Y^2*X^-6*Y*X^-2 ] Chiral map of genus 287 and type {147,147}_4 isomorphic to its mirror-dual Automorphism group of order 1176 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-109*X^14*Y^-18*X*Y^-2 ] .......................... Chiral maps with 590 edges .......................... Chiral map of genus 291 and type {236,236}_10 isomorphic to its dual Automorphism group of order 1180 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^-1*Y^82*X^-3*Y*X^-1*Y*X^-2*Y^2*X^-13*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 592 edges .......................... Chiral map of genus 1 and type {4,4}_148 isomorphic to its dual Automorphism group of order 1184 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 75 and type {4,8}_296 not isomorphic to its dual or mirror-dual Automorphism group of order 1184 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 75 and type {4,8}_296 not isomorphic to its dual or mirror-dual Automorphism group of order 1184 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 149 and type {8,8}_148 isomorphic to its dual Automorphism group of order 1184 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 149 and type {8,8}_148 isomorphic to its dual Automorphism group of order 1184 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 223 and type {16,16}_74 isomorphic to its dual Automorphism group of order 1184 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-2*Y^-2*X*Y^-1*X^2*Y ] Chiral map of genus 223 and type {16,16}_148 isomorphic to its dual Automorphism group of order 1184 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y*X^-2*Y^-2*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 594 edges .......................... Chiral map of genus 196 and type {6,198}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 1188 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^33*X^3*Y^-1*X*Y^32 ] Chiral map of genus 256 and type {18,66}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 1188 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^11*X^2*Y^4*X^-1*Y^-1*X*Y^6 ] Chiral map of genus 286 and type {66,198}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1188 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-11*Y^2*X^-1*Y*X^-1 ] .......................... Chiral maps with 596 edges .......................... Chiral map of genus 1 and type {4,4}_298 isomorphic to its dual Automorphism group of order 1192 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 597 edges .......................... Chiral map of genus 1 and type {3,6}_398 not isomorphic to its dual or mirror-dual Automorphism group of order 1194 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^-2*X*Y^-2*X*Y^-1 ] .......................... Chiral maps with 598 edges .......................... Chiral map of genus 287 and type {92,92}_26 isomorphic to its dual Automorphism group of order 1196 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y*X^-2*Y^7*X^-1*Y*X^-2*Y*X^-2*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 600 edges .......................... Chiral map of genus 51 and type {3,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^3, (X*Y^-2)^4, Y^12, Y*X^-1*Y^5*X^-1*Y^5*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 101 and type {4,12}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3*X*Y^-1)^2, Y^12, X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^3, Y^-1*X*Y^-3*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-3 ] Chiral map of genus 101 and type {4,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y^12, X^-1*Y^2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y, Y*X^-1*Y*X*Y^-2*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^3 ] Chiral map of genus 101 and type {4,12}_300 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X^2*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 141 and type {4,60}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^60 ] Chiral map of genus 151 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^6, (Y^-1*X^2*Y^-1)^3, (X*Y^-2)^4, Y^12, X^2*Y^-1*X*Y^-1*X^-2*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 201 and type {8,24}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X^2*Y^-1, Y^3*X^-1*Y*X^2*Y^-3*X*Y ] Chiral map of genus 201 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1, Y^-1*X^-1*Y^3*X^2*Y^-1*X*Y^-3 ] Chiral map of genus 201 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^2*Y^-1*X^3*Y^3*X^-1*Y^-1, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 201 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 201 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-3*X^4*Y^-2*X^2*Y^-1 ] Chiral map of genus 201 and type {8,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y*X^3*Y^-1*X^-2*Y^-1*X*Y^3 ] Chiral map of genus 201 and type {8,24}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-4*X^2*Y^-1*X^-1*Y^7, X*Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 201 and type {8,24}_300 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-4*X^2*Y^-1*X^-1*Y^7, X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 221 and type {8,120}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^15*X^-1*Y^-2*X*Y^2*X^-1*Y^-1*X*Y^10 ] Chiral map of genus 221 and type {8,120}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^15*X*Y^-2*X^2*Y^-5*X*Y^8 ] Chiral map of genus 201 and type {12,12}_20 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-1*X*Y^-3, Y*X*Y^-1*X^4*Y^3*X^-1*Y ] Chiral map of genus 201 and type {12,12}_20 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, X*Y^-3*X^4*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 201 and type {12,12}_30 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, (Y^-1*X)^5, X^12, X*Y^-2*X^4*Y*X^-2*Y^-2 ] Chiral map of genus 201 and type {12,12}_100 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X^-2*Y*X^-1*Y^2*X^2*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y*X*Y^-1*X*Y^-1 ] Chiral map of genus 201 and type {12,12}_100 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 221 and type {12,20}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, (Y^-1*X)^5, X^12, X*Y^-1*X^5*Y^-2*X^2*Y^-1 ] Chiral map of genus 221 and type {12,20}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^20 ] Chiral map of genus 241 and type {12,60}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, Y^10*X*Y^-3*X*Y^7 ] Chiral map of genus 241 and type {20,20}_30 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y^2*X^-1*Y, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X ] Chiral map of genus 261 and type {20,60}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^-2*X^-1*Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-4, X^4*Y^-3*X^9*Y^-3*X ] Chiral map of genus 251 and type {24,24}_4 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-3*X^4*Y^-2*X^2*Y^-1, Y^-1*X*Y^-2*X^3*Y^-3*X^2 ] Chiral map of genus 251 and type {24,24}_10 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^-2*Y*X^3*Y^-2*X*Y^2, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y^-3, Y^4*X^-1*Y*X^-6*Y*X^-5*Y^6 ] Chiral map of genus 251 and type {24,24}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-8*Y*X^-2*Y*X^-1*Y*X^-1 ] Chiral map of genus 251 and type {24,24}_10 isomorphic to its mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, X*Y^-1*X*Y^-4*X*Y^-1*X^6*Y^-1*X*Y^-3*X^2*Y^-2 ] Chiral map of genus 251 and type {24,24}_20 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y^2*X^-1, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y^-1*X*Y^-2*X^3*Y^-3*X^2 ] Chiral map of genus 251 and type {24,24}_50 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1*X, X*Y^-4*X^15*Y^-4 ] Chiral map of genus 251 and type {24,24}_100 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2*X*Y^-1*X ] Chiral map of genus 261 and type {24,40}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1, Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^-3*Y^5 ] Chiral map of genus 261 and type {24,40}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1, X^-1*Y*X*Y^-1*X^-1*Y^2*X^-2*Y^2*X^-1*Y^-4 ] Chiral map of genus 271 and type {24,120}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^4*X*Y^-1*X^2*Y^-2*X*Y^3, X^2*Y^-4*X*Y^-3*X^6*Y^-2*X^2*Y^-1*X*Y^-2 ] Chiral map of genus 271 and type {24,120}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X*Y^-1*X^-1*Y^2*X^-2*Y*X^-2*Y^6 ] Chiral map of genus 281 and type {40,120}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y^-1*X^2*Y^-2*X^16*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^9*Y^-3 ] Chiral map of genus 281 and type {40,120}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^-2*X^-1*Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-4, Y^-2*X^2*Y^-3*X^10*Y^-1*X^2 ] Chiral map of genus 281 and type {60,60}_20 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X^-2*Y^27*X^-2*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] Chiral map of genus 281 and type {60,60}_20 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1, X^2*Y^-1*X*Y^-1*X*Y^-4*X^2*Y^-1*X^8*Y^-1*X*Y^-2*X^3*Y^-1*X ] Chiral map of genus 285 and type {75,75}_4 isomorphic to its mirror-dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^4*Y^-57*X^10*Y^-2*X^2 ] Chiral map of genus 291 and type {120,120}_10 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y*X^-83*Y^4*X^-2*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] Chiral map of genus 291 and type {120,120}_20 isomorphic to its dual Automorphism group of order 1200 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^23*X^-2*Y^2*X^-1*Y^3*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 602 edges .......................... Chiral map of genus 216 and type {14,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1204 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, X^14, Y^-1*X^7*Y^-1*X*Y^-4 ] Chiral map of genus 216 and type {14,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1204 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, X^-1*Y*X^-1*Y*X^3*Y^-2*X*Y^2, X^14 ] Chiral map of genus 216 and type {14,14}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1204 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^14 ] .......................... Chiral maps with 603 edges .......................... Chiral map of genus 1 and type {3,6}_402 not isomorphic to its dual or mirror-dual Automorphism group of order 1206 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 202 and type {9,18}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 1206 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^-2*X^-2*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X*Y^-1 ] .......................... Chiral maps with 605 edges .......................... Chiral map of genus 122 and type {5,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1210 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, Y^-2*X^-2*Y^-5*X^-2*Y^-1*X*Y*X^-1*Y^-1*X ] Chiral map of genus 122 and type {5,10}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1210 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 122 and type {5,10}_242 not isomorphic to its dual or mirror-dual Automorphism group of order 1210 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, X*Y^-5*X^-1*Y*X^-1*Y^-2*X*Y^-4 ] Chiral map of genus 122 and type {5,10}_242 not isomorphic to its dual or mirror-dual Automorphism group of order 1210 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^2*X^-1*Y^-3 ] Chiral map of genus 232 and type {10,55}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1210 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^-1*Y^2*X*Y^-1*X^-2*Y^-7 ] Chiral map of genus 232 and type {10,55}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1210 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1, Y^2*X*Y^-1*X^-1*Y*X^4*Y^7 ] Chiral map of genus 287 and type {55,110}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1210 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X^-31*Y^4*X^-1*Y*X^-1*Y*X^-12*Y^2*X^-2 ] Chiral map of genus 287 and type {55,110}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1210 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^33*X^-1*Y*X^-2*Y^5*X^-9*Y*X^-1*Y^2 ] .......................... Chiral maps with 606 edges .......................... Chiral map of genus 203 and type {12,12}_202 isomorphic to its dual Automorphism group of order 1212 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 609 edges .......................... Chiral map of genus 197 and type {6,87}_406 not isomorphic to its dual or mirror-dual Automorphism group of order 1218 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-15*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-10 ] Chiral map of genus 233 and type {14,21}_174 not isomorphic to its dual or mirror-dual Automorphism group of order 1218 with defining relations: [ (X*Y)^2, X^-1*Y^2*X^-3*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 233 and type {14,21}_174 not isomorphic to its dual or mirror-dual Automorphism group of order 1218 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^-3*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 233 and type {14,21}_174 not isomorphic to its dual or mirror-dual Automorphism group of order 1218 with defining relations: [ (X*Y)^2, X^-1*Y*X^-4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 262 and type {21,42}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1218 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X*Y^-1*X^4*Y^4*X^-1, X*Y^-3*X^2*Y^-1*X^6*Y^-1*X^2*Y^-2*X*Y^-1*X ] Chiral map of genus 262 and type {21,42}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1218 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1, X^-1*Y*X^-1*Y*X^4*Y^-2*X*Y^2*X^-1, X^-1*Y*X^-1*Y^2*X^-4*Y*X^-6*Y^2*X^-3 ] Chiral map of genus 262 and type {21,42}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1218 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-3*Y, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X^-1*Y*X^-1*Y^5*X^-7*Y^3*X^-2*Y ] Chiral map of genus 295 and type {87,174}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1218 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^-2*Y^50*X^-3*Y^6*X^-3*Y*X^-15*Y^3*X^-4 ] .......................... Chiral maps with 610 edges .......................... Chiral map of genus 1 and type {4,4}_610 isomorphic to its dual Automorphism group of order 1220 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 1 and type {4,4}_610 isomorphic to its dual Automorphism group of order 1220 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 184 and type {10,10}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1220 with defining relations: [ (X*Y)^2, X^10, Y^10, (X*Y^-1*X^3)^2, (X*Y^-3*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^3*Y^-2*X*Y^-3 ] Chiral map of genus 184 and type {10,10}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1220 with defining relations: [ (X*Y)^2, X^10, Y^10, (X*Y^-1*X^3)^2, (X*Y^-3*X)^2, Y^-3*X*Y^-1*X^-2*Y^5*X*Y^-1 ] Chiral map of genus 245 and type {20,20}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1220 with defining relations: [ (X*Y)^2, (Y^-1*X)^5, Y*X^-1*Y*X^4*Y^-1*X*Y*X^-2 ] Chiral map of genus 245 and type {20,20}_122 isomorphic to its dual Automorphism group of order 1220 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y*X^-1*Y^2*X^2*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 245 and type {20,20}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1220 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, (Y^-1*X)^5 ] Chiral map of genus 301 and type {244,244}_10 isomorphic to its dual Automorphism group of order 1220 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^86*X^-2*Y*X^-1*Y*X^-1*Y*X^-2*Y^2*X^-13*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 612 edges .......................... Chiral map of genus 1 and type {4,4}_102 isomorphic to its dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 137 and type {4,36}_306 not isomorphic to its dual or mirror-dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2, Y^-1*X^-1*Y^6*X*Y^-2*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-5 ] Chiral map of genus 154 and type {8,8}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X^2*Y^-1*X^-3*Y^-1*X*Y^4*X^-1 ] Chiral map of genus 154 and type {8,8}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X^-3*Y*X^4*Y^4*X^2*Y ] Chiral map of genus 205 and type {12,12}_102 isomorphic to its dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^12, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 205 and type {12,12}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^12, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-2 ] Chiral map of genus 273 and type {36,36}_34 isomorphic to its dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^2, X^-2*Y^3*X^-2*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] Chiral map of genus 290 and type {72,72}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X*Y^-15*X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^9*Y^-3 ] Chiral map of genus 298 and type {136,136}_6 isomorphic to its dual Automorphism group of order 1224 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-44*Y*X^-1*Y^2*X^-3*Y^2*X^-15 ] .......................... Chiral maps with 615 edges .......................... Chiral map of genus 206 and type {10,15}_246 not isomorphic to its dual or mirror-dual Automorphism group of order 1230 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 206 and type {10,15}_246 not isomorphic to its dual or mirror-dual Automorphism group of order 1230 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, X*Y^-3*X^5*Y*X^-4*Y^-1 ] Chiral map of genus 247 and type {15,30}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1230 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^3*Y^-1*X^3*Y^2*X^-1*Y*X^-1*Y, Y*X*Y^-1*X*Y^-1*X^3*Y*X^-1*Y*X^-2*Y, X^-15 ] Chiral map of genus 247 and type {15,30}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1230 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y^-3, X^-15 ] .......................... Chiral maps with 616 edges .......................... Chiral map of genus 257 and type {14,77}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1232 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^14, Y^-2*X^-1*Y*X*Y^-1*X^-2*Y^-7 ] Chiral map of genus 297 and type {77,154}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1232 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X*Y^-1*X*Y^-57*X*Y^-1*X^11*Y^-2*X*Y^-1 ] Chiral map of genus 301 and type {154,154}_4 isomorphic to its mirror-dual Automorphism group of order 1232 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^23*X^-14*Y^112*X^-1*Y*X^-1 ] .......................... Chiral maps with 618 edges .......................... Chiral map of genus 104 and type {6,6}_206 not isomorphic to its dual or mirror-dual Automorphism group of order 1236 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^2*X*Y^-1*X^-1*Y*X*Y^-1 ] .......................... Chiral maps with 620 edges .......................... Chiral map of genus 151 and type {4,124}_310 not isomorphic to its dual or mirror-dual Automorphism group of order 1240 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^31*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^24 ] Chiral map of genus 218 and type {10,20}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 1240 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, X*Y^-2*X^-1*Y*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 218 and type {10,20}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 1240 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X^4*Y^-1*X^-3*Y^-1*X*Y^3 ] Chiral map of genus 218 and type {10,20}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 1240 with defining relations: [ (X*Y)^2, X^10, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^4*Y^-1*X^-2*Y^-1*X^4*Y^-1, Y*X*Y^-2*X^4*Y^4*X^-1*Y ] Chiral map of genus 218 and type {10,20}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 1240 with defining relations: [ (X*Y)^2, X^10, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^4*Y^-1*X^-2*Y^-1*X^4*Y^-1 ] Chiral map of genus 249 and type {20,20}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1240 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y*X^-1*Y^-2, Y*X*Y^-4*X*Y^5, X*Y^-3*X^2*Y^-3*X^8*Y^-1*X*Y^-1 ] Chiral map of genus 249 and type {20,20}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1240 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y*X*Y^-4*X*Y^5, X^-1*Y*X^-1*Y^3*X^-2*Y*X^-8*Y*X^-2 ] Chiral map of genus 301 and type {124,124}_10 isomorphic to its dual Automorphism group of order 1240 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y*X^-87*Y^4*X^-2*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 621 edges .......................... Chiral map of genus 205 and type {6,207}_414 not isomorphic to its dual or mirror-dual Automorphism group of order 1242 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-35*X^2*Y^-6*X*Y*X^-1*Y^-27 ] Chiral map of genus 304 and type {138,207}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1242 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X*Y^-39*X*Y^-1*X^3*Y^-2*X^13*Y^-7*X^2 ] .......................... Chiral maps with 624 edges .......................... Chiral map of genus 1 and type {3,6}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 105 and type {4,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y^12, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 105 and type {4,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^2*Y^-1 ] Chiral map of genus 131 and type {4,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^24 ] Chiral map of genus 131 and type {4,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-2*X^-1*Y^2*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 105 and type {6,6}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^2*Y^3*X^-1, X^-2*Y^-2*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2 ] Chiral map of genus 157 and type {6,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 157 and type {6,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-2 ] Chiral map of genus 157 and type {6,12}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X*Y^3, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, X^-1*Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y*X^-2*Y*X^-2*Y*X^-1 ] Chiral map of genus 157 and type {6,12}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, (X*Y^-5)^2, Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 196 and type {6,48}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y^-2*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y, Y^-1*X^-1*Y*X*Y^-4*X^-1*Y*X^-3*Y^-1*X*Y*X^-1*Y^-7 ] Chiral map of genus 196 and type {6,48}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2, Y^-1*X^2*Y^-1*X^-1*Y^6*X^-1*Y^-1*X^2*Y^-7 ] Chiral map of genus 183 and type {8,12}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^12, X*Y^-1*X^-1*Y*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 183 and type {8,12}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^12, X*Y^-1*X^-1*Y*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-1*Y^-2*X^2*Y^-2 ] Chiral map of genus 209 and type {8,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-6*X^-4*Y^-6, X*Y^-1*X^-1*Y*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-1*Y^-2*X^2*Y^-2 ] Chiral map of genus 209 and type {8,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-6*X^-4*Y^-6, X*Y^-1*X^-1*Y*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 209 and type {12,12}_52 isomorphic to its dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y^-1 ] Chiral map of genus 209 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X^-1*Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1 ] Chiral map of genus 209 and type {12,12}_52 isomorphic to its dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 209 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-2*X^5*Y^-3*X*Y^-1, Y^12, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y*X^-1 ] Chiral map of genus 209 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-1*X)^4, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, X^-2*Y*X^5*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 209 and type {12,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2 ] Chiral map of genus 209 and type {12,12}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, Y^-1*X^6*Y^-5, X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^-2*X^-1*Y*X^-2 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X^-2*Y*X^-1*Y^2*X^-2*Y^-2 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^12, X^-1*Y*X^-1*Y^2*X*Y^-1*X^-2*Y^2*X^-1*Y^4 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-1*Y^3*X^-2*Y*X^-2*Y*X^-2*Y*X^-1*Y^-2 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y^-2*X^2*Y^-1*X^2*Y^-5, X^-1*Y^2*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, X^2*Y^-1*X^4*Y^-1*X*Y^-2*X, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, (X*Y^-4*X)^2 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-3*X^2 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-1*X^2*Y^-1*X, (X*Y^-1*X*Y^-1*X^2)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^4*X^3*Y^-2*X*Y^2, Y^-3*X*Y^-1*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 235 and type {12,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-1*X^2*Y^-1*X, (X*Y^-1*X*Y^-1*X^2)^2, Y^-4*X^3*Y^-2*X*Y^-2 ] Chiral map of genus 248 and type {12,48}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-1*Y^3*X^-2*Y*X^-2*Y*X^-1*Y^-2*X^2*Y^-1 ] Chiral map of genus 248 and type {12,48}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y*X^-2*Y*X^4*Y^6, X^-1*Y^2*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 261 and type {16,48}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y, X^16 ] Chiral map of genus 261 and type {16,48}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y^-1 ] Chiral map of genus 261 and type {24,24}_52 isomorphic to its dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^-2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 261 and type {24,24}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, (X*Y^-3*X^2)^2, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y*X^-1 ] Chiral map of genus 261 and type {24,24}_52 isomorphic to its dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2, X^2*Y^-3*X^13*Y^-2*X*Y^-3 ] Chiral map of genus 261 and type {24,24}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y, Y^3*X^-1*Y^3*X^-17 ] Chiral map of genus 261 and type {24,24}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y^-1*X^6*Y^-3*X^2 ] Chiral map of genus 261 and type {24,24}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^6*Y*X^-2*Y^2, X^2*Y^-3*X^4*Y^-2*X*Y^-1*X^3*Y^-2*X^2*Y^-2*X^2 ] Chiral map of genus 261 and type {24,24}_104 isomorphic to its dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-1*Y*X^-1*Y*X^3*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 261 and type {24,24}_104 isomorphic to its dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^-1 ] Chiral map of genus 261 and type {24,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, X^-2*Y^2*X^3*Y^2*X^-2*Y, X*Y^-3*X^4*Y*X^-3*Y^-1*X ] Chiral map of genus 261 and type {24,24}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, (X*Y^-2*X^3)^2, (X*Y^-4*X)^2, Y^-2*X^-1*Y*X^4*Y^4*X^-1*Y^-1 ] Chiral map of genus 287 and type {48,48}_26 isomorphic to its dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-1*Y^13*X^-5*Y*X^-3*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] Chiral map of genus 287 and type {48,48}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X^-18*Y^4*X^-1*Y^2*X^-15*Y^5*X^-1*Y*X^-1 ] Chiral map of genus 287 and type {48,48}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X*Y^-1*X^2*Y^-22*X^2*Y^-3*X^2*Y^-1*X*Y^-1*X^7*Y^-1*X^3*Y^-1 ] Chiral map of genus 287 and type {48,48}_52 isomorphic to its dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2, Y^-1*X*Y^-6*X^10*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 287 and type {48,48}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y, Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-8*Y^2*X^-2*Y ] Chiral map of genus 287 and type {48,48}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1248 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^6*Y*X^-2*Y^2, Y^-3*X*Y^-2*X^3*Y^-1*X^6*Y^-2*X^2*Y^-2*X^2 ] .......................... Chiral maps with 625 edges .......................... Chiral map of genus 246 and type {10,125}_250 not isomorphic to its dual or mirror-dual Automorphism group of order 1250 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^-13*X^-2*Y^-6*X^2*Y^-6 ] Chiral map of genus 246 and type {10,125}_250 not isomorphic to its dual or mirror-dual Automorphism group of order 1250 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^-13*X^2*Y^-1*X*Y*X^-1*Y^-10 ] Chiral map of genus 276 and type {25,50}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1250 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y*X^7*Y*X^-3*Y^2, X^3*Y^-2*X^2*Y^-3*X^6*Y^-1*X^2*Y^-2*X^4 ] Chiral map of genus 276 and type {25,50}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1250 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y*X^7*Y*X^-1*Y^2*X^-2, X*Y^-3*X*Y^-1*X^2*Y^-1*X*Y^-1*X^6*Y^-3*X^3*Y^-1*X ] .......................... Chiral maps with 626 edges .......................... Chiral map of genus 1 and type {4,4}_626 isomorphic to its dual Automorphism group of order 1252 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2 ] .......................... Chiral maps with 627 edges .......................... Chiral map of genus 191 and type {6,33}_418 not isomorphic to its dual or mirror-dual Automorphism group of order 1254 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-3*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 286 and type {33,66}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1254 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2, X^-2*Y^5*X^-3*Y*X^-11*Y*X^-1*Y^6*X^-1*Y*X^-1 ] .......................... Chiral maps with 628 edges .......................... Chiral map of genus 1 and type {4,4}_314 isomorphic to its dual Automorphism group of order 1256 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 630 edges .......................... Chiral map of genus 190 and type {6,30}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^30 ] Chiral map of genus 190 and type {6,30}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1, Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 190 and type {6,30}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-3*X^2*Y^-1*X^-3*Y^4*X^-1*Y^-2 ] Chiral map of genus 190 and type {6,30}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^30 ] Chiral map of genus 274 and type {18,90}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-2*X^-1*Y^3*X^2*Y^2*X^-1*Y^-3, X^-1*Y^3*X^-1*Y*X^-1*Y*X^-4*Y*X^-1*Y^4 ] Chiral map of genus 274 and type {18,90}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^-1*Y*X*Y^-1*X^2*Y^-2*X^-1*Y^4*X^-1*Y^-2, X^2*Y^-1*X^11*Y^-1*X^3 ] Chiral map of genus 271 and type {28,28}_30 isomorphic to its dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 274 and type {30,30}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y^5, X*Y^-2*X*Y^-4*X*Y^-1*X^2*Y^-4*X^2*Y^-2*X^8*Y^-1*X ] Chiral map of genus 274 and type {30,30}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^-2*Y*X^2*Y^-1*X^-2*Y^-1*X*Y^-1*X^2*Y, Y^-2*X^5*Y^-2*X^12*Y^-3*X*Y^-2*X^2*Y^-1 ] Chiral map of genus 302 and type {90,90}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^56*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^3*X^-15*Y^5*X^-1*Y^2 ] Chiral map of genus 311 and type {252,252}_10 isomorphic to its dual Automorphism group of order 1260 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^90*X^-2*Y*X^-1*Y*X^-1*Y*X^-2*Y^2*X^-13*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 633 edges .......................... Chiral map of genus 1 and type {3,6}_422 not isomorphic to its dual or mirror-dual Automorphism group of order 1266 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] .......................... Chiral maps with 634 edges .......................... Chiral map of genus 1 and type {4,4}_634 isomorphic to its dual Automorphism group of order 1268 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] .......................... Chiral maps with 636 edges .......................... Chiral map of genus 107 and type {4,12}_318 not isomorphic to its dual or mirror-dual Automorphism group of order 1272 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X ] Chiral map of genus 213 and type {12,12}_106 isomorphic to its dual Automorphism group of order 1272 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-1 ] .......................... Chiral maps with 638 edges .......................... Chiral map of genus 291 and type {44,44}_58 isomorphic to its dual Automorphism group of order 1276 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, Y^-1*X*Y^-2*X^10*Y^-1*X*Y^-1*X*Y^-2*X^2 ] .......................... Chiral maps with 640 edges .......................... Chiral map of genus 1 and type {4,4}_80 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 81 and type {4,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X*Y^-1*X^-2*Y^4*X^2*Y, Y^3*X*Y^-2*X^-1*Y*X^-1*Y^4*X^-1 ] Chiral map of genus 81 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1, Y^-1*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^2*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 81 and type {4,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X*Y^-1*X^-2*Y^4*X^2*Y, Y^-3*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^4*X ] Chiral map of genus 81 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 81 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y*X^-1*Y^2*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 81 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 81 and type {4,8}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 121 and type {4,16}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1, (X*Y^-3*X*Y^-1*X*Y^-1)^2 ] Chiral map of genus 121 and type {4,16}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^-3*X*Y^-1*X^-1*Y*X^-1*Y^-1*X*Y^-1*X ] Chiral map of genus 121 and type {4,16}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^-4*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 121 and type {4,16}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 121 and type {4,16}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, (Y^-1*X)^5, X*Y^-2*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^3 ] Chiral map of genus 121 and type {4,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 121 and type {4,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^-2*X^-1*Y^2*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X ] Chiral map of genus 121 and type {4,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^2*X*Y^-2*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y ] Chiral map of genus 121 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 121 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y*X*Y^-3*X*Y^4, (X*Y^-2)^4, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 121 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 121 and type {4,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y*X*Y^-3*X*Y^4, (X*Y^-2)^4, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 141 and type {4,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, Y^-5*X^-1*Y^2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 141 and type {4,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^32 ] Chiral map of genus 151 and type {4,64}_320 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^16*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X*Y^10 ] Chiral map of genus 151 and type {4,64}_320 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^64 ] Chiral map of genus 153 and type {4,80}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^4, Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^2, Y^-10*X*Y*X^-1*Y^-1*X*Y^5*X^-1*Y^-3 ] Chiral map of genus 161 and type {8,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^3*X*Y^-2*X^-1*Y*X^-1*Y^4*X^-1 ] Chiral map of genus 161 and type {8,8}_10 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^3*Y*X^-2*Y^2 ] Chiral map of genus 161 and type {8,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y*X^2*Y^-1*X^-4*Y^-1*X^3*Y*X^-1 ] Chiral map of genus 161 and type {8,8}_10 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-3*Y*X^2*Y^4*X^-1, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-1*X)^4 ] Chiral map of genus 161 and type {8,8}_10 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-3*Y*X^2*Y^4*X^-1, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X*Y^-1*X^2*Y^-1*X^2*Y^-2*X*Y^-2 ] Chiral map of genus 161 and type {8,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, X^-1*Y*X^2*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 161 and type {8,8}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y*X^2*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-2 ] Chiral map of genus 161 and type {8,8}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-3*Y*X^2*Y^4*X^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X ] Chiral map of genus 161 and type {8,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y^-2*X, Y^-2*X^2*Y^-1*X^-4*Y^-1*X^3*Y*X^-1*Y^-1 ] Chiral map of genus 161 and type {8,8}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-3*Y*X^2*Y^4*X^-1, X*Y^-1*X^2*Y^-1*X^2*Y^-2*X*Y^-2, X^-2*Y^-4*X^3*Y*X^-3*Y ] Chiral map of genus 161 and type {8,8}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-2*X^2*Y^-1*X^-4*Y^-1*X^3*Y*X^-1*Y^-1 ] Chiral map of genus 161 and type {8,8}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-1*Y*X^2*Y^-1*X*Y, (X*Y^-1*X)^4 ] Chiral map of genus 161 and type {8,8}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X ] Chiral map of genus 161 and type {8,8}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-2*X^-1*Y*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X ] Chiral map of genus 161 and type {8,8}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-2*X^-1*Y*X^2*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 161 and type {8,8}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 161 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, X^-1*Y^-4*X^2*Y^4*X^-1, X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 161 and type {8,8}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y*X^2*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 161 and type {8,8}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 161 and type {8,8}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 161 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y^-2*X^-1*Y*X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X ] Chiral map of genus 161 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, X*Y^-1*X^-1*Y*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 161 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 161 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y*X^-1 ] Chiral map of genus 161 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, X*Y^-1*X^2*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^-2 ] Chiral map of genus 161 and type {8,8}_80 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 201 and type {8,16}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-3*X^2*Y^-3*X*Y, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 201 and type {8,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-3*X^2*Y^-3*X*Y, Y^-1*X*Y^-2*X^2*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 201 and type {8,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-3*X^2*Y^-3*X*Y, X^2*Y^-2*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 201 and type {8,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-3*X^2*Y^-3*X*Y, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^2 ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-2 ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y^16 ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-2*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-2*Y^-1*X ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^2*X^2*Y^-2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y*X^-1 ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y, Y^16 ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^3*Y^-1*X^3*Y^6, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^3*Y^-1*X^3*Y^6, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2 ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, Y*X*Y^-3*X*Y^4, X^-2*Y^2*X^2*Y^-2*X^2*Y^-2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^2*X^-1*Y*X^2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 201 and type {8,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, Y*X*Y^-3*X*Y^4, Y*X^-1*Y^2*X^2*Y^-2*X^2*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 221 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y^6*X*Y^-1*X^-2*Y^-2*X^2*Y^-6 ] Chiral map of genus 221 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^32 ] Chiral map of genus 221 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y^2*X*Y^-5*X^-1*Y^2*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 221 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y, Y^2*X*Y^-5*X^-1*Y^2*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 221 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X^-1*Y^2*X*Y^-1*X^2*Y^-2*X^2*Y^-2 ] Chiral map of genus 221 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-2*Y^2*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 221 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y, X*Y^-1*X^-1*Y^5*X*Y^-2*X^-1*Y*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 221 and type {8,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^32 ] Chiral map of genus 231 and type {8,64}_320 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^16*X^4*Y^16 ] Chiral map of genus 231 and type {8,64}_320 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^16*X^4*Y^16 ] Chiral map of genus 233 and type {8,80}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-1*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y^-1, X*Y^-4*X^2*Y^3*X^-1*Y^-1, Y^-10*X^2*Y^-1*X*Y^5*X^-1*Y^-4 ] Chiral map of genus 237 and type {8,160}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^20*X^3*Y^-2*X*Y^18 ] Chiral map of genus 241 and type {16,16}_10 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y^2*X^5*Y*X^-1*Y*X^-1*Y, Y*X^-1*Y*X^4*Y^-1*X*Y^3 ] Chiral map of genus 241 and type {16,16}_10 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^3*Y^-3*X, (X*Y^-1*X)^4 ] Chiral map of genus 241 and type {16,16}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X^16 ] Chiral map of genus 241 and type {16,16}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y*X*Y^-3*X*Y^4, Y*X^7*Y^3*X^-1*Y^2, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {16,16}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X^-1*Y^2*X^-5*Y^-1*X*Y^2, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-2*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {16,16}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y^-3*X^3*Y^-2*X^2, (Y^-1*X)^5, (X*Y^-1*X)^4 ] Chiral map of genus 241 and type {16,16}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y^2*X^5*Y^3*X^-2, Y*X^-1*Y*X^4*Y^-1*X*Y^3 ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X^-1*Y^2*X^-5*Y^-1*X*Y^2, X*Y^-1*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-2, X^16 ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X^-1*Y^2*X^-5*Y^-1*X*Y^2, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X*Y^-1*X ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y^2*X*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 241 and type {16,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, Y*X^5*Y*X^-3, Y*X^3*Y^-1*X^3*Y^6, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X^-1*Y^2*X^-5*Y^-1*X*Y^2, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y*X^-1 ] Chiral map of genus 241 and type {16,16}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y^-2*X^-1*Y*X ] Chiral map of genus 241 and type {16,16}_80 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X^-1*Y^2*X^-2*Y^2*X^-2*Y^2*X^-1, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 241 and type {16,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, Y^16 ] Chiral map of genus 241 and type {16,16}_80 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^16, Y^16 ] Chiral map of genus 241 and type {16,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^-1*X*Y^2, X^16 ] Chiral map of genus 241 and type {16,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1, X^16 ] Chiral map of genus 241 and type {16,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X^-2*Y*X^3*Y^-2*X^2*Y^-2 ] Chiral map of genus 241 and type {16,16}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^16, (X*Y^-1*X^6)^2 ] Chiral map of genus 249 and type {16,20}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^-2*Y*X^3*Y^2*X^-1*Y, Y^20 ] Chiral map of genus 261 and type {16,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^16, Y^-1*X^2*Y^-5*X^-1*Y^2*X^-5*Y^-8 ] Chiral map of genus 261 and type {16,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, Y^-1*X^2*Y^-5*X^-1*Y^2*X^-5*Y^-8 ] Chiral map of genus 261 and type {16,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 261 and type {16,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-2*Y^2*X*Y^-1*X^2*Y^-2*X*Y^3 ] Chiral map of genus 261 and type {16,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^-2*X^-1*Y^11*X^-1*Y^-3 ] Chiral map of genus 261 and type {16,32}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^11*X^-1*Y^-3 ] Chiral map of genus 265 and type {16,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y*X^-2*Y^-1, Y^10*X^3*Y^-1*X*Y^2*X^-1*Y^-4*X^-1*Y^3 ] Chiral map of genus 277 and type {16,160}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^20*X^-2*Y^2*X^-1*Y^-6*X^-1*Y^12 ] Chiral map of genus 281 and type {20,80}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X^3*Y^-7*X ] Chiral map of genus 281 and type {32,32}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X^12*Y^-4 ] Chiral map of genus 281 and type {32,32}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X^2*Y^-8*X^11*Y^-1*X*Y^-1*X^3*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 281 and type {32,32}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 281 and type {32,32}_40 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-2, X^12*Y^-4 ] Chiral map of genus 281 and type {32,32}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y*X^2*Y^-2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-2, Y^-1*X*Y^-1*X^6*Y^-2*X^2*Y^-2*X ] Chiral map of genus 281 and type {32,32}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, Y^-1*X*Y^-1*X^5*Y^-1*X^2*Y^-3*X^8*Y^-1*X^3*Y^-1*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 281 and type {32,32}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^-1*X*Y^2, X^11*Y^-1*X^3*Y^-1 ] Chiral map of genus 281 and type {32,32}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^11*Y^-1*X^3*Y^-1 ] Chiral map of genus 285 and type {32,40}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y*X*Y^-1*X^4*Y^2*X^-3, X^-12*Y^-1*X^3*Y^-1*X^-1, Y^10*X^4*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X^-1*Y*X*Y^-2*X^-1*Y^2 ] Chiral map of genus 293 and type {32,80}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, X^-1*Y*X^12*Y*X^-2*Y^-2*X^-1, Y^10*X^5*Y^-2*X*Y*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 297 and type {40,80}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^2*Y^-1*X^2*Y^-2*X^7*Y^-2*X*Y^-2 ] Chiral map of genus 301 and type {40,160}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, Y*X^-1*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-3*Y^2*X^-8*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-3*Y^2 ] Chiral map of genus 301 and type {64,64}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-1*X, X^-2*Y^3*X^-3*Y*X^-1*Y*X^-13*Y^5*X^-1*Y^2 ] Chiral map of genus 301 and type {64,64}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-1*Y^26*X^-1*Y*X^-2*Y^3*X^-2*Y*X^-1*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] Chiral map of genus 301 and type {64,64}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X*Y^-2*X*Y^-1*X^4*Y^-1*X^2*Y^-3*X^6*Y^-1*X*Y^-2*X^2*Y^-1*X^2*Y^-1*X ] Chiral map of genus 309 and type {80,160}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, Y*X^-1*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-3*Y^2*X^-9*Y*X^-1*Y*X^-4*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 311 and type {128,128}_10 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^92*X^-2*Y*X^-1*Y*X^-1*Y*X^-2*Y^2*X^-13*Y^7*X^-1*Y^2*X^-1 ] Chiral map of genus 311 and type {128,128}_20 isomorphic to its dual Automorphism group of order 1280 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y*X^-25*Y^3*X^-2*Y^3*X^-2*Y*X^-1*Y*X^-1*Y*X^-11*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 644 edges .......................... Chiral map of genus 315 and type {161,161}_4 isomorphic to its mirror-dual Automorphism group of order 1288 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-116*X^14*Y^-25*X*Y^-2 ] .......................... Chiral maps with 645 edges .......................... Chiral map of genus 173 and type {6,15}_430 not isomorphic to its dual or mirror-dual Automorphism group of order 1290 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, X^-1*Y*X^-2*Y*X^-2*Y*X^-3*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^-1 ] Chiral map of genus 259 and type {15,30}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1290 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y^-2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1 ] .......................... Chiral maps with 646 edges .......................... Chiral map of genus 307 and type {76,76}_34 isomorphic to its dual Automorphism group of order 1292 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^2, Y*X^-5*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-13*Y^7*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 648 edges .......................... Chiral map of genus 28 and type {3,8}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^3, Y^8, Y*X^-1*Y*X^-1*Y^-4*X^-1*Y*X^-1*Y^-2*X*Y^4*X^-1*Y ] Chiral map of genus 82 and type {3,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^3, Y*X*Y^-2*X*Y^-3*X^-1*Y^2*X^-1*Y^3*X^-1*Y, Y^-1*X^-1*Y^7*X^-1*Y^-8 ] Chiral map of genus 55 and type {4,6}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^4, Y^6, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-2)^6 ] Chiral map of genus 82 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2, (X*Y^-2)^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^4*X^2*Y^-1 ] Chiral map of genus 136 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-1)^6, Y^-3*X^-1*Y*X*Y^-2*X^-1*Y^3*X^-1*Y^-3 ] Chiral map of genus 154 and type {4,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^18*X*Y^-1*X*Y*X^-1*Y^-3*X*Y^13 ] Chiral map of genus 109 and type {6,6}_12 isomorphic to its dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X*Y^-3*X^-1*Y*X^-2*Y*X^-2*Y^3*X*Y^-2*X ] Chiral map of genus 136 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^6, Y^8, Y^-1*X^2*Y^-1*X^-2*Y^4*X ] Chiral map of genus 181 and type {6,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y*X*Y^-1*X^2*Y^-1*X^-2*Y^-1*X*Y*X^-2*Y ] Chiral map of genus 190 and type {6,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^6, (Y*X^-1*Y)^3, (Y^-1*X^2*Y^-1)^3, Y^-1*X^-2*Y*X*Y^-1*X^-2*Y^4*X^-1*Y^-1 ] Chiral map of genus 199 and type {6,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2*X*Y^-1*X)^2, Y^-3*X*Y^-1*X^2*Y^2*X^-1*Y^-2, X^-1*Y^3*X*Y^-1*X^2*Y*X^-1*Y^3*X^-1 ] Chiral map of genus 205 and type {6,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-2*Y^-2, Y^4*X*Y^-4*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y^7 ] Chiral map of genus 208 and type {6,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^12*X^2*Y^4*X^-2*Y^8 ] Chiral map of genus 214 and type {6,216}_216 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^36*X^2*Y*X^-2*Y^35 ] Chiral map of genus 163 and type {8,8}_6 isomorphic to its dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^3*Y^-1*X^-2*Y^4*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 163 and type {8,8}_18 isomorphic to its dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X^-3*Y*X^4*Y^4*X^-1*Y^2 ] Chiral map of genus 172 and type {8,9}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y^9, (X*Y^-2)^2, X^2*Y^-1*X*Y^-1*X^-3*Y*X^5*Y^-1*X^2*Y^-1*X ] Chiral map of genus 172 and type {8,9}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y^9, (X*Y^-2)^2, Y^-1*X^-1*Y*X^2*Y^-1*X^-3*Y*X^-3*Y*X^-2*Y^-1*X ] Chiral map of genus 172 and type {8,9}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y^9, (X*Y^-2)^2, X*Y^-1*X^-3*Y*X^-3*Y^-1*X^2*Y^-1*X^3*Y^2 ] Chiral map of genus 190 and type {8,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y*X^-1*Y^2*X^3*Y*X^-1*Y^2*X^-1, Y*X*Y^-3*X^2*Y^-3*X*Y ] Chiral map of genus 190 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, (X*Y^-1)^6, Y^12, Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^3*Y^2 ] Chiral map of genus 208 and type {8,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, X*Y^-1*X^-3*Y*X^3*Y*X^-3*Y^-1, Y^-3*X^-3*Y*X^2*Y^3*X^-1*Y^-2 ] Chiral map of genus 208 and type {8,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y^2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y, X*Y^-1*X^-3*Y*X^3*Y*X^-3*Y^-1, (X^-1*Y^5)^2, Y*X^-1*Y^2*X^-3*Y^3*X^-2*Y ] Chiral map of genus 208 and type {8,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, (X^-2*Y)^3, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X ] Chiral map of genus 217 and type {8,24}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-2*X^3*Y*X^-2*Y^2, Y^-3*X*Y^-1*X^2*Y*X^-1*Y^-3 ] Chiral map of genus 226 and type {8,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y*X*Y^-8*X^2*Y^-2*X^2*Y^-1*X*Y^6 ] Chiral map of genus 226 and type {8,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^-1*Y^2*X^3*Y^-2*X^2*Y^-1 ] Chiral map of genus 226 and type {8,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 235 and type {8,72}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y^-5*X^-1*Y^2*X*Y^-2*X^-1*Y^6*X^-1*Y^-3 ] Chiral map of genus 235 and type {9,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 244 and type {9,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-5*X ] Chiral map of genus 217 and type {12,12}_12 isomorphic to its dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-1*X^6*Y^-5, X^-1*Y*X*Y^-2*X^-1*Y*X^3*Y^3*X^-3*Y^2 ] Chiral map of genus 217 and type {12,12}_12 isomorphic to its dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-1*X^6*Y^-5, Y^-3*X^2*Y^-2*X^3*Y^2*X^-1*Y^-1*X^2*Y^-1*X ] Chiral map of genus 235 and type {12,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y*X*Y^-2*X^3*Y^-2*X*Y*X^-1, Y*X*Y^-1*X^5*Y*X^-2*Y^3 ] Chiral map of genus 244 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y^2*X^-3, X^2*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^3 ] Chiral map of genus 244 and type {12,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y^2*X^-3, Y^2*X^-1*Y*X^3*Y^3*X^-2 ] Chiral map of genus 244 and type {12,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, Y^-3*X*Y^-1*X^2*Y^-3*X*Y^-1, X^3*Y^-5*X^-1*Y^4*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 244 and type {12,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X*Y^-1*X^2*Y^-3*X*Y^-1, Y^-2*X^-1*Y^5*X^-2*Y^2*X^-1*Y^-3 ] Chiral map of genus 244 and type {12,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, (X*Y^-1*X*Y^-2*X)^2, Y^-2*X*Y^-2*X^2*Y^2*X^-1*Y^-2 ] Chiral map of genus 244 and type {12,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^-1*Y^2*X^2*Y^3*X^-1, X^12, Y*X*Y^-1*X^4*Y^2*X^-3 ] Chiral map of genus 244 and type {12,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-3*X^-1*Y*X^2*Y^-4*X, Y^-2*X^-1*Y^5*X^-2*Y^4*X^-1*Y^-1 ] Chiral map of genus 244 and type {12,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-1)^6, (X*Y^-2)^4, Y^2*X*Y^-1*X^-1*Y^3*X^-1*Y^-2*X*Y^4 ] Chiral map of genus 247 and type {12,27}_216 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, X^-1*Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-5 ] Chiral map of genus 253 and type {12,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, Y^2*X*Y^-1*X^-1*Y^3*X^-2*Y^6 ] Chiral map of genus 259 and type {12,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, Y^8*X^3*Y^-1*X*Y*X^-3*Y^-4*X*Y^4 ] Chiral map of genus 259 and type {12,54}_216 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, Y^3*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 262 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, X^-1*Y*X*Y^-3*X^-4*Y^-8 ] Chiral map of genus 265 and type {12,108}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^18*X^-1*Y^-1*X^2*Y^-4*X*Y^13 ] Chiral map of genus 268 and type {12,216}_216 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^18*X^3*Y^-1*X*Y^17 ] Chiral map of genus 244 and type {16,16}_6 isomorphic to its mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, X^-1*Y*X^6*Y^-1*X^4*Y ] Chiral map of genus 253 and type {18,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^2*X^-1*Y^-1, X^-1*Y^2*X^-4*Y*X^-5*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 262 and type {18,24}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^24 ] Chiral map of genus 271 and type {18,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-2*X^4*Y*X^-1*Y^4, X^-1*Y^2*X^-4*Y*X^-6*Y*X^-1*Y^2 ] Chiral map of genus 271 and type {18,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y^-3*X*Y^-1*X^-2*Y^-3*X*Y^-1*X, X*Y^-3*X^-1*Y*X^2*Y^3*X^-2*Y^-1 ] Chiral map of genus 280 and type {18,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y^-3*X*Y^-1*X^-2*Y^-3*X*Y^-1*X, Y^-1*X*Y^-3*X^-2*Y^-6 ] Chiral map of genus 280 and type {18,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, X*Y^-1*X^-4*Y^2*X^-2*Y^-1*X^5, X^-1*Y*X^-3*Y*X^-9*Y*X^-1*Y ] Chiral map of genus 280 and type {18,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y*X^-12*Y*X^-1*Y^2, Y^12*X^-2*Y*X^-1*Y^-4*X*Y^7 ] Chiral map of genus 271 and type {24,24}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y*X^-2*Y*X^3*Y^-2*X*Y^2, X^-3*Y*X^-2*Y^3*X^-10*Y*X^-2*Y*X^-1 ] Chiral map of genus 271 and type {24,24}_6 isomorphic to its dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, X^-1*Y*X^5*Y^-5 ] Chiral map of genus 271 and type {24,24}_6 isomorphic to its dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X^-1*Y*X^-6*Y*X^-8*Y*X^-1*Y*X^-4 ] Chiral map of genus 274 and type {24,27}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y*X^2*Y^-1*X^4*Y*X^-1*Y*X^-3, Y^-5*X^4*Y^-1*X*Y*X^-3*Y^-2 ] Chiral map of genus 280 and type {24,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, Y^-2*X^-1*Y^4*X^2*Y^2*X^-1*Y^-4, X*Y^-2*X^4*Y^-1*X^-4*Y^-1*X*Y*X^-1*Y^-1*X ] Chiral map of genus 286 and type {24,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y*X^2*Y^-1*X^4*Y*X^-1*Y*X^-3, Y^3*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 286 and type {24,54}_216 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-7*X^-1*Y^2*X*Y^-1*X*Y^4*X^-1*Y^-4 ] Chiral map of genus 289 and type {24,72}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^3*X^4*Y*X^-1*Y^-1*X*Y, X^3*Y^-1*X^4*Y^-1*X^8*Y^-5*X*Y^-1 ] Chiral map of genus 289 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-3*X^4*Y^-2*X^2*Y^-1 ] Chiral map of genus 292 and type {24,108}_216 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^9*X^2*Y^7*X^-2*Y^2 ] Chiral map of genus 295 and type {24,216}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-6*Y*X^-13*Y^2*X^-1*Y, Y^-2*X^-1*Y^7*X*Y^-1*X*Y^2*X^-1*Y^-6 ] Chiral map of genus 295 and type {24,216}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-6*Y*X^-13*Y^2*X^-1*Y, Y^9*X^-2*Y*X^-1*Y^-4*X*Y^4 ] Chiral map of genus 289 and type {36,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^8*Y*X^-4*Y^2, Y^2*X^-2*Y*X^-3*Y^2*X^-3*Y*X^-7*Y*X^-3*Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y ] Chiral map of genus 298 and type {36,72}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^-1*Y^3*X^2*Y*X^-1*Y^-3, X^-1*Y^3*X^-9*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 298 and type {36,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y*X^8*Y*X^-1*Y^2*X^-3, X^-1*Y*X^-3*Y*X^-8*Y^4 ] Chiral map of genus 298 and type {36,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^3*X^-2*Y*X^-4*Y^8 ] Chiral map of genus 307 and type {72,72}_6 isomorphic to its dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y*X^-1*Y^2, Y^49*X^-2*Y^2*X^-3*Y*X^-11*Y*X^-1*Y*X^-1 ] Chiral map of genus 307 and type {72,72}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^3*Y^-1*X*Y^-39*X^2*Y^-1*X^2*Y^-2*X^11*Y^-3*X*Y^-2*X^2*Y^-2 ] Chiral map of genus 307 and type {72,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1296 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, X*Y^-1*X^-1*Y^2*X^-5*Y^-1*X^5, X^-1*Y^2*X^-1*Y*X^-1*Y*X^-2*Y*X^-3*Y*X^-7*Y*X^-3*Y*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 650 edges .......................... Chiral map of genus 1 and type {4,4}_130 isomorphic to its dual Automorphism group of order 1300 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] Chiral map of genus 1 and type {4,4}_650 isomorphic to its dual Automorphism group of order 1300 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 1 and type {4,4}_650 isomorphic to its dual Automorphism group of order 1300 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 261 and type {20,20}_130 isomorphic to its dual Automorphism group of order 1300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 261 and type {20,20}_130 isomorphic to its dual Automorphism group of order 1300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 301 and type {52,52}_50 isomorphic to its dual Automorphism group of order 1300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-10*Y^6*X^-2 ] Chiral map of genus 313 and type {100,100}_26 isomorphic to its dual Automorphism group of order 1300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^2*X^-2*Y^10*X^-2*Y^6*X^-1*Y^3*X^-1*Y*X^-11*Y^8*X^-1*Y*X^-1 ] Chiral map of genus 321 and type {260,260}_10 isomorphic to its dual Automorphism group of order 1300 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^94*X^-2*Y*X^-2*Y^2*X^-4*Y^2*X^-11*Y^7*X^-1*Y^3 ] .......................... Chiral maps with 651 edges .......................... Chiral map of genus 1 and type {3,6}_434 not isomorphic to its dual or mirror-dual Automorphism group of order 1302 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 1 and type {3,6}_434 not isomorphic to its dual or mirror-dual Automorphism group of order 1302 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 187 and type {6,21}_434 not isomorphic to its dual or mirror-dual Automorphism group of order 1302 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X^-1*Y^-3*X^-1*Y*X^-2*Y*X^-3*Y^-1*X^2*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 211 and type {6,93}_434 not isomorphic to its dual or mirror-dual Automorphism group of order 1302 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-16*X^2*Y^-6*X*Y*X^-2*Y*X^-1*Y^-7 ] Chiral map of genus 280 and type {21,42}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1302 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2, X^17*Y^-1*X^2*Y^-1 ] Chiral map of genus 316 and type {93,186}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1302 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^-2*Y^56*X^-2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y^3*X^-14*Y^3*X^-3*Y ] .......................... Chiral maps with 654 edges .......................... Chiral map of genus 110 and type {6,6}_218 not isomorphic to its dual or mirror-dual Automorphism group of order 1308 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-2*X*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 219 and type {12,12}_218 not isomorphic to its dual or mirror-dual Automorphism group of order 1308 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, X*Y^-3*X^5*Y^-1*X*Y^5 ] Chiral map of genus 219 and type {12,12}_218 isomorphic to its dual Automorphism group of order 1308 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y^-2*X*Y^-1 ] .......................... Chiral maps with 655 edges .......................... Chiral map of genus 132 and type {5,10}_262 not isomorphic to its dual or mirror-dual Automorphism group of order 1310 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^2*X^-1*Y^4 ] Chiral map of genus 132 and type {5,10}_262 not isomorphic to its dual or mirror-dual Automorphism group of order 1310 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, X*Y^-1*X^2*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y^-2 ] .......................... Chiral maps with 656 edges .......................... Chiral map of genus 1 and type {4,4}_164 isomorphic to its dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 83 and type {4,8}_328 not isomorphic to its dual or mirror-dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y ] Chiral map of genus 83 and type {4,8}_328 not isomorphic to its dual or mirror-dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 165 and type {8,8}_164 isomorphic to its dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X*Y^2*X^2*Y ] Chiral map of genus 165 and type {8,8}_164 isomorphic to its dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^-1*Y*X^2*Y ] Chiral map of genus 165 and type {8,8}_164 not isomorphic to its dual or mirror-dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y ] Chiral map of genus 247 and type {16,16}_82 isomorphic to its dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 247 and type {16,16}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y*X*Y^-3*X^2*Y*X^-1*Y^3, X^16 ] Chiral map of genus 247 and type {16,16}_164 isomorphic to its dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 247 and type {16,16}_164 not isomorphic to its dual or mirror-dual Automorphism group of order 1312 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y^-1*X*Y^-3*X^2*Y*X^-1*Y^-3 ] .......................... Chiral maps with 657 edges .......................... Chiral map of genus 1 and type {3,6}_438 not isomorphic to its dual or mirror-dual Automorphism group of order 1314 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 220 and type {9,18}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1314 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X^-4*Y*X^-2*Y^-1*X*Y ] Chiral map of genus 220 and type {9,18}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1314 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y^3*X*Y^-1 ] Chiral map of genus 220 and type {9,18}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1314 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 220 and type {9,18}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1314 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1 ] .......................... Chiral maps with 660 edges .......................... Chiral map of genus 161 and type {4,132}_330 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^33*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^26 ] Chiral map of genus 254 and type {10,60}_132 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^2*X*Y^-3*X^5*Y^7 ] Chiral map of genus 254 and type {10,60}_132 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1, X^-1*Y^2*X*Y^-3*X^2*Y^-7 ] Chiral map of genus 254 and type {10,60}_132 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, X^10, Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-2, Y^2*X*Y^-2*X^-1*Y^2*X^-2*Y^6 ] Chiral map of genus 254 and type {10,60}_132 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, Y*X*Y^-4*X^3*Y^7 ] Chiral map of genus 261 and type {12,44}_330 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^11*X^-3*Y^-1*X*Y*X^-1*Y^-5*X*Y^4 ] Chiral map of genus 271 and type {12,132}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^11*X*Y^-5*X*Y^2*X^-2*Y^4 ] Chiral map of genus 254 and type {15,20}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, (X*Y^-2*X*Y^-1)^2, X*Y^-2*X^-3*Y^-1*X*Y^-3, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 254 and type {15,20}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, (X*Y^-2*X*Y^-1)^2, Y*X*Y^-2*X^-2*Y^2*X^-2*Y, X^-1*Y^2*X^-4*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 265 and type {15,30}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, X^-15 ] Chiral map of genus 265 and type {15,30}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^3*Y*X^-1*Y^-3, Y*X*Y^-3*X^3*Y*X^-2*Y^3, X^-15 ] Chiral map of genus 276 and type {20,30}_132 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y*X^7*Y^2*X^-3*Y, X*Y^-2*X^5*Y*X^-1*Y^-3*X ] Chiral map of genus 276 and type {20,30}_132 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y^2*X^-3*Y, Y^-2*X^6*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 276 and type {20,30}_132 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, (X*Y^-3*X)^2, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1 ] Chiral map of genus 276 and type {20,30}_132 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, (X*Y^-3*X)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y ] Chiral map of genus 287 and type {20,60}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^7*Y^2*X^-3*Y, X*Y^-6*X^8*Y^-2*X*Y^-2 ] Chiral map of genus 287 and type {20,60}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y*X^7*Y^2*X^-3*Y, X*Y^-6*X*Y^-1*X^6*Y^-1*X*Y^-2*X ] Chiral map of genus 287 and type {20,60}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, X*Y^-1*X^11*Y^-3*X*Y^-2*X ] Chiral map of genus 287 and type {20,60}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X^4*Y*X^-1*Y^-1*X*Y, Y*X^-3*Y*X^-2*Y*X^-5*Y*X^-1*Y^2*X^-1*Y^2 ] Chiral map of genus 298 and type {30,60}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X^-2*Y^9*X^-1*Y^7*X^-5*Y*X^-2*Y*X^-2 ] Chiral map of genus 298 and type {30,60}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y^3*X^-2, X*Y^-5*X^5*Y^-2*X^2*Y^-2*X^9*Y^-1*X*Y^-2 ] Chiral map of genus 298 and type {30,60}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, X*Y^-3*X*Y^-2*X*Y^-2*X^2*Y^-2*X^11*Y^-2*X*Y^-1*X ] Chiral map of genus 298 and type {30,60}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^2*Y^-3*X^4*Y^-1*X^2*Y^-3*X^10*Y^-2*X*Y^-1*X ] Chiral map of genus 311 and type {44,132}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-1*X^10*Y^-1*X*Y^-2 ] Chiral map of genus 309 and type {60,60}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^-41*Y*X^-1*Y^4*X^-9*Y*X^-1*Y^2 ] Chiral map of genus 309 and type {60,60}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-1*Y^2*X^-2*Y^35*X^-1*Y^2*X^-1*Y*X^-10*Y^4*X^-1 ] Chiral map of genus 321 and type {132,132}_10 isomorphic to its dual Automorphism group of order 1320 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^97*Y^-1*X*Y^-1*X*Y^-7*X^13*Y^-1*X*Y^-1*X*Y^-7 ] .......................... Chiral maps with 663 edges .......................... Chiral map of genus 209 and type {6,51}_442 not isomorphic to its dual or mirror-dual Automorphism group of order 1326 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-3*X^2*Y^-4*X^2*Y^-1*X^-3*Y*X^-1*Y^-8 ] Chiral map of genus 313 and type {51,102}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1326 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^2*Y^-2*X*Y^-1*X^8*Y^-2*X*Y^-2*X*Y^-6*X*Y^-1*X^11*Y^-1*X^2*Y^-1*X^2*Y^-6 ] .......................... Chiral maps with 666 edges .......................... Chiral map of genus 1 and type {4,4}_222 isomorphic to its dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 112 and type {6,6}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^-2*X^-1*Y*X^-1*Y^-3*X*Y^-1*X^-2*Y^3*X*Y^-2*X^-1*Y^2*X ] Chiral map of genus 112 and type {6,6}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^-2 ] Chiral map of genus 260 and type {18,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-2*Y^3*X^-9*Y^3*X^-1, Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y*X^-1*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 260 and type {18,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X*Y^-1*X^3*Y*X^-2*Y*X^-1*Y, X*Y^-5*X*Y^-1*X^4*Y^-2*X^2*Y^-2 ] Chiral map of genus 260 and type {18,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, X^-1*Y^2*X^4*Y^-1*X*Y^3, X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^5*Y^-1*X^4 ] Chiral map of genus 260 and type {18,18}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y*X*Y^-3*X^2*Y*X^-1*Y^3, X^2*Y^-4*X^6*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 297 and type {36,36}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, X^-1*Y^2*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y, Y^-2*X^8*Y^-1*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 297 and type {36,36}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1, X*Y^-1*X*Y^-1*X^2*Y^-1*X^4*Y^-2*X^5 ] Chiral map of genus 297 and type {36,36}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X^7*Y^3*X^-3, X*Y^-1*X^11*Y^-1*X*Y^-3 ] Chiral map of genus 297 and type {36,36}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, Y*X^-1*Y^2*X^2*Y^-2*X*Y, Y*X*Y^-2*X^4*Y*X^-3*Y^2, X^3*Y^-1*X^2*Y^-1*X*Y^-1*X^6*Y^-2*X ] Chiral map of genus 297 and type {36,36}_74 isomorphic to its dual Automorphism group of order 1332 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y^2*X^-1*Y*X^-5*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] .......................... Chiral maps with 669 edges .......................... Chiral map of genus 1 and type {3,6}_446 not isomorphic to its dual or mirror-dual Automorphism group of order 1338 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-3*X*Y^-1 ] .......................... Chiral maps with 670 edges .......................... Chiral map of genus 331 and type {268,268}_10 isomorphic to its dual Automorphism group of order 1340 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-100*X*Y^-7*X^13*Y^-1*X*Y^-1*X*Y^-7 ] .......................... Chiral maps with 672 edges .......................... Chiral map of genus 17 and type {3,7}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^3, Y^7, Y*X^-1*Y^2*X*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^-3*X^-1*Y^2*X^-1*Y^3*X^-1*Y ] Chiral map of genus 57 and type {3,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y^-1*X*Y^-3*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 73 and type {4,7}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^4, Y^7, (X*Y^-1)^6, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y, X*Y^3*X^-1*Y*X*Y^-1*X*Y^2*X^-1*Y^-1*X*Y^-2, Y*X^-1*Y^2*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y^2 ] Chiral map of genus 113 and type {6,6}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X*Y^-1*X^-1*Y*X^-2*Y*X^2*Y^-1*X^3*Y^-1*X*Y^-1*X^2*Y^2 ] Chiral map of genus 113 and type {6,6}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y ] Chiral map of genus 113 and type {6,6}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-2*Y^-1*X*Y*X^-1*Y*X^-2*Y^2*X*Y^-1*X^-2*Y*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y^-2*X^-1*Y*X*Y^-1 ] Chiral map of genus 113 and type {6,6}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y*X^-2*Y^-2 ] Chiral map of genus 113 and type {6,6}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 129 and type {6,7}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^7, (X*Y^-1*X)^4, (X*Y^-1*X*Y^-2*X)^2, Y^-1*X^2*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y^-2, (X*Y^-2)^4 ] Chiral map of genus 129 and type {6,7}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^7, (X*Y^-1*X)^4, (X*Y^-1*X*Y^-2*X)^2, Y^-1*X^2*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y^-2, Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 169 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^12, X*Y^-1*X^-1*Y*X^-2*Y*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X^2*Y*X^-1*Y ] Chiral map of genus 169 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, (X*Y^-5)^2, X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-3 ] Chiral map of genus 169 and type {6,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y*X*Y^-1*X^-1*Y*X^-1*Y*X^2*Y^-2*X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 197 and type {6,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^4*X*Y^-2*X*Y^6, X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y*X^-2*Y^-2 ] Chiral map of genus 197 and type {6,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y^4, X*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 197 and type {6,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y^-2*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y*X^-2*Y ] Chiral map of genus 197 and type {6,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-2*X^2*Y^-1*X^2*Y^-5, X^-1*Y^2*X^-1*Y^2*X*Y^-2*X^-1*Y*X^-1*Y^-2*X*Y^3 ] Chiral map of genus 209 and type {6,42}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y*X^2*Y^-2*X^-2*Y^-1*X^2*Y*X^-2*Y, Y^-3*X^-1*Y^2*X*Y^-1*X^2*Y^-8 ] Chiral map of genus 218 and type {6,96}_224 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^16*X^3*Y^-1*X*Y^4*X^-1*Y^-1*X*Y^10 ] Chiral map of genus 218 and type {6,96}_224 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^16*X*Y^-1*X^2*Y^-1*X*Y^14 ] Chiral map of genus 145 and type {7,7}_6 isomorphic to its dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^7, Y^7, (X*Y^-1)^4, Y*X^-2*Y*X^3*Y^-3*X^-1*Y ] Chiral map of genus 145 and type {7,7}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^7, Y^7, (X^-2*Y)^3, X*Y^-3*X*Y^-1*X^-2*Y^-2*X*Y^-1*X*Y^-2 ] Chiral map of genus 157 and type {7,8}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^7, Y^8, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y, X^-1*Y^2*X*Y^-1*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 157 and type {7,8}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^7, Y^8, (Y^-1*X)^3, X*Y^3*X*Y^-1*X^3*Y^4*X^-2*Y^-1 ] Chiral map of genus 225 and type {12,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^12, X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^-2 ] Chiral map of genus 225 and type {12,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^-3, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X ] Chiral map of genus 225 and type {12,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, Y^12, X^-1*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-2*X^-1 ] Chiral map of genus 225 and type {12,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, (X*Y^-1*X^4)^2, Y^-2*X^5*Y^2*X^-1*Y^-2, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-1*Y*X^-2 ] Chiral map of genus 225 and type {12,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^6*Y^-5, Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X*Y^-1*X^3*Y^-1*X ] Chiral map of genus 225 and type {12,12}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-3*Y^-1*X ] Chiral map of genus 253 and type {12,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, X^12, Y^-2*X^5*Y^-3*X*Y^-1 ] Chiral map of genus 253 and type {12,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-3*X^2*Y^-1*X^-1*Y*X^-1*Y^-7*X, X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X*Y*X^-1*Y^-1*X ] Chiral map of genus 253 and type {12,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^12, X^2*Y^-1*X^4*Y^-1*X^2*Y^-2 ] Chiral map of genus 253 and type {12,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X^-1*Y*X*Y^-2*X^-1*Y*X^2*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 253 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-2*X^5*Y^-3*X*Y^-1, X^-1*Y^4*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 253 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^4*X*Y^-2*X*Y^6, X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-3*Y^-2 ] Chiral map of genus 253 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^12, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3 ] Chiral map of genus 253 and type {12,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y^-3*X^4*Y*X^-2*Y^-2, Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 267 and type {12,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4 ] Chiral map of genus 267 and type {12,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^3*Y^-1*X^2*Y^-1*X^2*Y^-1, Y^7*X*Y^-1*X^3*Y*X^-2*Y^7 ] Chiral map of genus 267 and type {12,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^12, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-2*X^2*Y^-1*X^2*Y^-5 ] Chiral map of genus 267 and type {12,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^-3*X^-1*Y^3*X^-2*Y^2*X*Y^-3*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 274 and type {12,96}_224 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^3*Y^-1*X^2*Y^-1*X^2*Y^-1, Y^7*X*Y^-1*X^3*Y*X^-1*Y^-2*X*Y^5 ] Chiral map of genus 274 and type {12,96}_224 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^-3*X^-1*Y^3*X^-2*Y^2*X*Y^-1*X*Y^6*X*Y^-1 ] Chiral map of genus 281 and type {14,84}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y^3*X^4*Y^-1*X*Y^2*X^-1, X^14, Y^-2*X^-1*Y^4*X^2*Y^2*X^-1*Y^-4 ] Chiral map of genus 273 and type {21,21}_4 isomorphic to its mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y^3*X^-1*Y*X^-1, X^2*Y^-2*X^2*Y^-1*X^6*Y^-3*X*Y^-2*X*Y^-1 ] Chiral map of genus 281 and type {21,28}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^-2*X, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 289 and type {21,42}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y^2*X^-2*Y*X^-1, Y*X^-1*Y*X^-2*Y^4*X^-8*Y*X^-1*Y*X^-1 ] Chiral map of genus 281 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X*Y^-3*X*Y^-2*X^2*Y^-1*X*Y^-1*X^7*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 281 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-3*Y^-1*X, X*Y^-1*X*Y^-4*X^8*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 281 and type {24,24}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X^6*Y^-5, X^-1*Y*X^-2*Y*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-2*Y ] Chiral map of genus 281 and type {24,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4, X*Y^-3*X*Y^-3*X^9*Y^-3*X*Y^-3 ] Chiral map of genus 281 and type {24,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, Y^-2*X*Y^-2*X^7*Y^-1*X^2*Y^-3*X*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 281 and type {24,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, (X*Y^-3*X^2)^2, X^-1*Y^4*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 281 and type {24,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, X^2*Y^-1*X^4*Y^-2*X^2*Y^-1, Y^-4*X^3*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 281 and type {24,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-1*X*Y^-2*X, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 281 and type {24,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^7*Y^-2*X*Y^-2, Y*X^6*Y^5, Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 281 and type {24,24}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, X^7*Y^-2*X*Y^-2, (X*Y^-1)^6, Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-3*Y^-1*X ] Chiral map of genus 295 and type {24,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, (X*Y^-3*X^2)^2, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4 ] Chiral map of genus 295 and type {24,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X*Y^-1*X^-3*Y^2*X^-2*Y*X^-2*Y^4 ] Chiral map of genus 295 and type {24,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1 ] Chiral map of genus 295 and type {24,48}_112 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-2*X^2*Y^-1*X^2*Y^-5 ] Chiral map of genus 297 and type {28,42}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y^3*X^4*Y^-1*X*Y^2*X^-1, Y^-2*X^6*Y^-4*X^2 ] Chiral map of genus 305 and type {28,84}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X^-4*Y*X^-3*Y*X^-7*Y*X^-1*Y*X^-1*Y*X^-2*Y^2 ] Chiral map of genus 305 and type {42,42}_4 isomorphic to its mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-3*Y, X^-4*Y*X^-20*Y^4*X^-8*Y*X^-2*Y*X^-1 ] Chiral map of genus 305 and type {42,42}_8 isomorphic to its dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y^3*X^-2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^3*Y^-1*X*Y^-4*X^8*Y^-1*X*Y^-3*X^2*Y^-3 ] Chiral map of genus 313 and type {42,84}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^3*X^-2, X^-2*Y*X^-23*Y*X^-12*Y*X^-1*Y ] Chiral map of genus 309 and type {48,48}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X*Y^-3*X*Y^-2*X^2*Y^-1*X*Y^-1*X^6*Y^-1*X^3*Y^-2 ] Chiral map of genus 309 and type {48,48}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-3*X^3*Y^-2*X*Y^-1*X*Y^-1*X^7*Y^-3*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 309 and type {48,48}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, Y^-2*X*Y^-3*X^6*Y^-1*X^2*Y^-3*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 309 and type {48,48}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4, X^3*Y^-2*X^9*Y^-1*X*Y^-1*X^2*Y^-2*X^3 ] Chiral map of genus 321 and type {84,84}_4 isomorphic to its mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^62*X^-2*Y*X^-12*Y^3 ] Chiral map of genus 323 and type {96,96}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X*Y^-1*X^2*Y^-57*X*Y^-3*X*Y^-1*X^2*Y^-1*X^13*Y^-2*X*Y^-5*X^2*Y^-2*X ] Chiral map of genus 323 and type {96,96}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^3*Y^-2*X*Y^-1*X*Y^-1*X^7*Y^-3*X^4*Y^-1 ] Chiral map of genus 329 and type {168,168}_4 isomorphic to its mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^62*X^-2*Y*X^-11*Y*X^-1*Y*X^-1 ] Chiral map of genus 329 and type {168,168}_4 isomorphic to its mirror-dual Automorphism group of order 1344 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-1*Y, X^-31*Y^2*X^-14*Y^2*X^-116*Y*X^-2 ] .......................... Chiral maps with 674 edges .......................... Chiral map of genus 1 and type {4,4}_674 isomorphic to its dual Automorphism group of order 1348 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] .......................... Chiral maps with 675 edges .......................... Chiral map of genus 151 and type {6,9}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1350 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X*Y^-1*X^3*Y^-1*X*Y^-1*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X ] Chiral map of genus 223 and type {6,225}_450 not isomorphic to its dual or mirror-dual Automorphism group of order 1350 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-38*X^-2*Y^-1*X^2*Y^-36 ] Chiral map of genus 241 and type {9,30}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1350 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, Y^-1*X^2*Y^4*X*Y^-5*X^-2*Y^6*X^-1*Y^-4 ] Chiral map of genus 301 and type {30,45}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1350 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X^-1*Y^6*X^-2*Y^7 ] Chiral map of genus 331 and type {150,225}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1350 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-48*X*Y^-2*X*Y^-2*X*Y^-3*X^9*Y^-5*X^2*Y^-1 ] .......................... Chiral maps with 676 edges .......................... Chiral map of genus 1 and type {4,4}_338 isomorphic to its dual Automorphism group of order 1352 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X ] Chiral map of genus 157 and type {4,52}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1352 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^-13*X*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-5 ] Chiral map of genus 170 and type {8,8}_26 isomorphic to its mirror-dual Automorphism group of order 1352 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^3*Y^-1*X*Y^-1 ] Chiral map of genus 313 and type {52,52}_26 isomorphic to its dual Automorphism group of order 1352 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^12*Y^-1*X*Y^-1*X*Y^-1*X*Y^-7*X^11*Y^-1*X*Y^-3*X*Y^-3*X*Y^-1*X^5 ] .......................... Chiral maps with 678 edges .......................... Chiral map of genus 227 and type {12,12}_226 isomorphic to its dual Automorphism group of order 1356 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1 ] .......................... Chiral maps with 680 edges .......................... Chiral map of genus 1 and type {4,4}_340 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 1 and type {4,4}_340 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 137 and type {4,20}_340 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2, Y^20 ] Chiral map of genus 161 and type {4,68}_340 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^68 ] Chiral map of genus 171 and type {8,8}_170 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 171 and type {8,8}_170 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 171 and type {8,8}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1 ] Chiral map of genus 171 and type {8,8}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, Y^-1*X*Y^-2*X^3*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 171 and type {8,8}_340 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X ] Chiral map of genus 171 and type {8,8}_340 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 239 and type {8,40}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-2*Y^2 ] Chiral map of genus 239 and type {8,40}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-4*X^2*Y^-3*X*Y^2 ] Chiral map of genus 239 and type {8,40}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-2*Y^-2*X*Y^-2, Y^-2*X^-1*Y^3*X^2*Y^2*X^-1*Y^-3 ] Chiral map of genus 239 and type {8,40}_340 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-2*Y^2*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 251 and type {8,136}_170 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^17*X*Y^-1*X*Y^6*X^-2*Y^10 ] Chiral map of genus 251 and type {8,136}_340 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^17*X^-1*Y^-2*X*Y^2*X^-1*Y^-1*X*Y^12 ] Chiral map of genus 273 and type {20,20}_68 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1, X*Y^-1*X^12*Y^-2*X*Y^-3 ] Chiral map of genus 307 and type {40,40}_34 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y^2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-2, X^-2*Y^4*X^-1*Y*X^-2*Y^2*X^-1*Y^3*X^-1*Y*X^-11*Y^7*X^-1*Y^2*X^-1 ] Chiral map of genus 307 and type {40,40}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X*Y^-19*X*Y^-1*X^3*Y^-1*X*Y^-1*X^7*Y^-4*X ] Chiral map of genus 307 and type {40,40}_68 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1, Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 321 and type {68,68}_20 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X^31*Y^-1*X^3*Y^-7*X^11*Y^-1*X*Y^-3*X*Y^-6*X ] Chiral map of genus 324 and type {80,80}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^-1*Y*X^-16*Y*X^-1*Y^2*X^-2*Y*X^-10*Y^2*X^-1*Y^2 ] Chiral map of genus 324 and type {80,80}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-1*X^4*Y^2*X^-1*Y^2, X^-2*Y*X^-1*Y*X^-2*Y*X^-2*Y*X^-2*Y*X^-5*Y^2*X^-5*Y*X^-8*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 331 and type {136,136}_10 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^101*Y^-1*X*Y^-1*X*Y^-7*X^13*Y^-1*X*Y^-1*X*Y^-7 ] Chiral map of genus 331 and type {136,136}_20 isomorphic to its dual Automorphism group of order 1360 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X*Y^-33*X*Y^-1*X^2*Y^-6*X^11*Y^-1*X*Y^-3*X*Y^-6*X ] .......................... Chiral maps with 684 edges .......................... Chiral map of genus 1 and type {3,6}_228 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 58 and type {3,12}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^3, Y^12, (Y^2*X^-1*Y^2)^3, Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y^-3*X*Y^-1 ] Chiral map of genus 172 and type {6,12}_228 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y^12, Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y^-1 ] Chiral map of genus 172 and type {6,12}_228 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, Y*X^-2*Y^-2*X^-2*Y*X^-2*Y*X^3*Y*X^-1*Y*X^-2*Y*X^-2*Y^-2*X^-2 ] Chiral map of genus 172 and type {6,12}_228 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-1*X*Y^2*X^-1*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 172 and type {6,12}_228 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^12, Y^2*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y^3*X^-1 ] Chiral map of genus 229 and type {9,18}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-2*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^3*X^-1*Y*X^-1*Y^-3*X ] Chiral map of genus 229 and type {9,18}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^4*Y^4*X^-1, Y*X^2*Y^-1*X^3*Y^3*X^-1*Y ] Chiral map of genus 229 and type {9,18}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^2*Y*X^-1*Y ] Chiral map of genus 229 and type {9,18}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^9, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^-4*Y^2*X^-2*Y^2 ] Chiral map of genus 229 and type {12,12}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, X*Y^-1*X^-1*Y*X*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1 ] Chiral map of genus 229 and type {12,12}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y*X^-1*Y*X^-2*Y*X^-1*Y*X^2*Y^-1*X ] Chiral map of genus 286 and type {18,36}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-5*X*Y^6, X*Y^-1*X^-1*Y*X*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1, X^18 ] Chiral map of genus 286 and type {18,36}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^7*Y*X^-5, Y*X^-1*Y^3*X*Y^-1*X^-2*Y^-3*X*Y^-1*X*Y, X^-1*Y*X^-11*Y*X^-4 ] Chiral map of genus 286 and type {18,36}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^3*Y^5, Y^4*X^3*Y^-1*X^2*Y*X^-1, X^-1*Y*X^-10*Y^3*X^-3 ] Chiral map of genus 286 and type {18,36}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^2*X^-1*Y^2*X^-5*Y*X^-5*Y ] Chiral map of genus 286 and type {18,36}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X^6*Y^3*X^-2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X*Y^-1*X^2*Y^-1*X^7*Y^-1*X*Y^-1*X*Y^-2 ] Chiral map of genus 286 and type {18,36}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X^6*Y^3*X^-2, Y^3*X^4*Y^-1*X*Y^2*X^-1, X*Y^-1*X^2*Y^-1*X^9*Y^-2*X^2 ] Chiral map of genus 286 and type {18,36}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^4*X^3*Y^-2*X*Y^2, X^-1*Y^2*X^-3*Y*X^-5*Y*X^-1*Y*X^-2*Y ] Chiral map of genus 286 and type {18,36}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^-1*Y*X^-1*Y*X^-9*Y^4*X^-1 ] Chiral map of genus 305 and type {36,36}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^2*Y^-1*X^2*Y^-2*X^-2*Y*X^-2*Y*X^-2*Y^-1, Y^-1*X*Y^-3*X*Y^-2*X^2*Y^-2*X^10*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-3*X ] Chiral map of genus 305 and type {36,36}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y^2*X^-1*Y*X^-1, X^16*Y^-2*X^2*Y^-1*X*Y^-2*X^7*Y^-1*X*Y^-2*X ] Chiral map of genus 305 and type {36,36}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^3*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-4*X^2*Y^-1*X*Y^-1*X^9*Y^-1*X*Y^-1 ] Chiral map of genus 305 and type {36,36}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^3*X^-2, X^-2*Y*X^-1*Y*X^-6*Y^2*X^-2*Y^2*X^-1*Y^2*X^-12*Y^2*X^-2 ] Chiral map of genus 334 and type {152,152}_6 isomorphic to its dual Automorphism group of order 1368 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^-52*Y*X^-1*Y^2*X^-3*Y^2*X^-15 ] .......................... Chiral maps with 686 edges .......................... Chiral map of genus 288 and type {14,98}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 1372 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, X^14, X^-1*Y^7*X^-2*Y^5*X^-1*Y^-2 ] Chiral map of genus 288 and type {14,98}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 1372 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, X^14, Y^2*X*Y^-1*X^-1*Y^4*X*Y^-5*X*Y^2 ] Chiral map of genus 288 and type {14,98}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 1372 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, X^14, Y^2*X*Y^-3*X^-1*Y^3*X^-1*Y^-4*X*Y^2 ] .......................... Chiral maps with 687 edges .......................... Chiral map of genus 1 and type {3,6}_458 not isomorphic to its dual or mirror-dual Automorphism group of order 1374 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y ] .......................... Chiral maps with 689 edges .......................... Chiral map of genus 266 and type {13,26}_106 not isomorphic to its dual or mirror-dual Automorphism group of order 1378 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^-13 ] Chiral map of genus 266 and type {13,26}_106 not isomorphic to its dual or mirror-dual Automorphism group of order 1378 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, X^-13 ] Chiral map of genus 266 and type {13,26}_106 not isomorphic to its dual or mirror-dual Automorphism group of order 1378 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-13, Y*X^-6*Y^4*X^-1*Y ] Chiral map of genus 266 and type {13,26}_106 not isomorphic to its dual or mirror-dual Automorphism group of order 1378 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-13, Y*X^-6*Y^5*X^-1 ] Chiral map of genus 266 and type {13,26}_106 not isomorphic to its dual or mirror-dual Automorphism group of order 1378 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X*Y^-2*X^-3*Y^-3, X^-13, Y^2*X^-5*Y^2*X^-2*Y^2 ] Chiral map of genus 266 and type {13,26}_106 not isomorphic to its dual or mirror-dual Automorphism group of order 1378 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y^2*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, X^-13 ] .......................... Chiral maps with 690 edges .......................... Chiral map of genus 341 and type {276,276}_10 isomorphic to its dual Automorphism group of order 1380 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-104*X*Y^-7*X^13*Y^-1*X*Y^-1*X*Y^-7 ] .......................... Chiral maps with 692 edges .......................... Chiral map of genus 1 and type {4,4}_346 isomorphic to its dual Automorphism group of order 1384 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 693 edges .......................... Chiral map of genus 211 and type {6,33}_462 not isomorphic to its dual or mirror-dual Automorphism group of order 1386 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^-33 ] Chiral map of genus 302 and type {18,99}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 1386 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-3*Y^-1, X*Y^-4*X^-1*Y*X^3*Y^-4*X*Y^2 ] Chiral map of genus 316 and type {33,66}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1386 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-2*X^-1*Y*X^-1*Y^3*X^-2*Y^-2*X*Y^-2*X, X^2*Y^-1*X*Y^-6*X*Y^-1*X^11*Y^-1*X^3*Y^-5*X ] Chiral map of genus 337 and type {99,198}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1386 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^-1*X*Y^-2*X^61*Y^-1*X^3*Y^-3*X^15*Y^-1*X^3*Y^-1*X^3*Y^-3*X ] .......................... Chiral maps with 696 edges .......................... Chiral map of genus 117 and type {4,12}_348 not isomorphic to its dual or mirror-dual Automorphism group of order 1392 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 233 and type {8,24}_174 not isomorphic to its dual or mirror-dual Automorphism group of order 1392 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 233 and type {8,24}_348 not isomorphic to its dual or mirror-dual Automorphism group of order 1392 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 233 and type {12,12}_116 isomorphic to its dual Automorphism group of order 1392 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 233 and type {12,12}_116 isomorphic to its dual Automorphism group of order 1392 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 291 and type {24,24}_58 isomorphic to its dual Automorphism group of order 1392 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, X^2*Y^-3*X^13*Y^-2*X*Y^-3 ] Chiral map of genus 291 and type {24,24}_116 isomorphic to its dual Automorphism group of order 1392 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X*Y^-1*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^2 ] .......................... Chiral maps with 698 edges .......................... Chiral map of genus 1 and type {4,4}_698 isomorphic to its dual Automorphism group of order 1396 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 700 edges .......................... Chiral map of genus 151 and type {4,28}_350 not isomorphic to its dual or mirror-dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X, Y^-2*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^6*X^-1*Y^-1 ] Chiral map of genus 171 and type {4,140}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^35*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^28 ] Chiral map of genus 291 and type {20,28}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^-1*X^-1*Y^5*X*Y^-2*X^6*Y^-2*X*Y^3*X^-1*Y^-1 ] Chiral map of genus 311 and type {20,140}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X*Y^-1*X^-1*Y^6*X*Y^-5*X*Y^2, X^15*Y^-1*X^3*Y^-1 ] Chiral map of genus 301 and type {28,28}_50 isomorphic to its dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-12*Y^6*X^-1 ] Chiral map of genus 321 and type {28,140}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-2*X^2*Y^-1*X*Y^4, Y^3*X^-5*Y^3*X^-9*Y^2*X^-1*Y^3*X^-1*Y ] Chiral map of genus 326 and type {56,56}_10 isomorphic to its mirror-dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y^-1*X^2*Y^-2*X*Y^-4*X^3*Y^-1*X^6*Y^-2*X*Y^-3*X^2 ] Chiral map of genus 341 and type {140,140}_10 isomorphic to its dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^105*Y^-1*X*Y^-1*X*Y^-7*X^13*Y^-1*X*Y^-1*X*Y^-7 ] Chiral map of genus 343 and type {175,175}_4 isomorphic to its mirror-dual Automorphism group of order 1400 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-123*X^14*Y^-32*X*Y^-2 ] .......................... Chiral maps with 702 edges .......................... Chiral map of genus 118 and type {4,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^4, Y*X*Y^-3*X*Y^4, Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-1*X*Y, X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y^-2*X^-2*Y ] Chiral map of genus 118 and type {6,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, X*Y^-2*X^-1*Y*X^-2*Y^-1*X^2*Y*X^-2*Y^-1 ] Chiral map of genus 118 and type {6,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X^2*Y^-1*X^2 ] Chiral map of genus 118 and type {6,6}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, Y*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-2*X^2*Y^-1*X^3*Y^-2*X^-2 ] Chiral map of genus 196 and type {6,18}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 196 and type {6,18}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X^2*Y^-1*X^-2*Y^-1*X*Y*X^-2*Y, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 196 and type {6,18}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2, Y^18 ] Chiral map of genus 196 and type {6,18}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^18 ] Chiral map of genus 196 and type {6,18}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X*Y^-1*X^-1*Y*X^-2*Y*X^-2*Y*X^3*Y*X^-1*Y*X^-2*Y*X^-2 ] Chiral map of genus 196 and type {6,18}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^2*Y^-1*X^3*Y^-1*X*Y*X^-1*Y*X^-1*Y*X*Y^-1 ] Chiral map of genus 232 and type {6,234}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^39*X^2*Y*X^-2*Y^38 ] Chiral map of genus 235 and type {12,12}_78 isomorphic to its dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y^-2*X^2*Y*X^-1*Y^-2*X ] Chiral map of genus 235 and type {12,12}_78 isomorphic to its dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, X^2*Y^-1*X^3*Y^2*X^-1*Y^-1, Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2*X^-2*Y*X^-1 ] Chiral map of genus 235 and type {12,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, Y*X*Y^-3*X^4*Y*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 274 and type {18,18}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y^3*X^-2, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, X^-1*Y^2*X*Y^-1*X^3*Y*X^-2*Y^-1*X*Y, X*Y^-3*X^9*Y^-3*X^2 ] Chiral map of genus 274 and type {18,18}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^-1*Y*X^-2*Y^2*X^-7*Y*X^-2*Y, X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2*X^-1 ] Chiral map of genus 304 and type {18,78}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, X^-1*Y*X^4*Y^-2*X*Y^-1, Y^13*X^2*Y^2*X^-1*Y^-3*X*Y^8 ] Chiral map of genus 298 and type {26,26}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, X^-2*Y*X^-1*Y*X^-7*Y*X^-6*Y*X^-1*Y^2*X^-1*Y^2 ] Chiral map of genus 298 and type {26,26}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X^2*Y^-1*X^3*Y^4*X^-1, X^-2*Y^2*X^3*Y^-2*X*Y^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X^12*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 326 and type {54,54}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X*Y^-1*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-3*X^7*Y^-1*X^2*Y^-1*X*Y^-1*X^9*Y^-3*X*Y^-3*X^2*Y^-2*X ] Chiral map of genus 340 and type {78,234}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y^3*X^3*Y^-1*X*Y^2, X^-3*Y*X^-1*Y^50*X^-1*Y*X^-1*Y*X^-1*Y*X^-12*Y^2*X^-1*Y^2 ] Chiral map of genus 339 and type {108,108}_26 isomorphic to its dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X*Y^-1*X*Y^-1*X^13*Y^-1*X*Y^-1*X*Y^-1*X*Y^-7*X^11*Y^-1*X*Y^-4*X*Y^-2*X^2*Y^-2 ] Chiral map of genus 339 and type {108,108}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1404 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-13*Y^2 ] .......................... Chiral maps with 704 edges .......................... Chiral map of genus 305 and type {16,176}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1408 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^22*X^-3*Y^-5*X*Y^17 ] Chiral map of genus 345 and type {176,176}_8 isomorphic to its dual Automorphism group of order 1408 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^-1*X^2*Y^-1*X^4*Y^-2*X^3*Y^-2*X^3*Y^-2*X*Y^-1*X^8*Y^-4*X*Y^-2*X^2*Y^-2*X^2*Y^-1 ] .......................... Chiral maps with 706 edges .......................... Chiral map of genus 1 and type {4,4}_706 isomorphic to its dual Automorphism group of order 1412 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 710 edges .......................... Chiral map of genus 214 and type {10,10}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 1420 with defining relations: [ (X*Y)^2, X^10, Y^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, X*Y^-2*X*Y^-2*X^-2*Y^-1*X^4*Y^-1 ] Chiral map of genus 214 and type {10,10}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 1420 with defining relations: [ (X*Y)^2, X^10, Y^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-2*X*Y^-1*X^4*Y^-1*X^2*Y*X^-1*Y^-1 ] Chiral map of genus 351 and type {284,284}_10 isomorphic to its dual Automorphism group of order 1420 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-108*X*Y^-7*X^13*Y^-1*X*Y^-1*X*Y^-7 ] .......................... Chiral maps with 711 edges .......................... Chiral map of genus 1 and type {3,6}_474 not isomorphic to its dual or mirror-dual Automorphism group of order 1422 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y ] Chiral map of genus 238 and type {9,18}_158 not isomorphic to its dual or mirror-dual Automorphism group of order 1422 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1 ] .......................... Chiral maps with 712 edges .......................... Chiral map of genus 1 and type {4,4}_356 isomorphic to its dual Automorphism group of order 1424 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 179 and type {8,8}_178 isomorphic to its dual Automorphism group of order 1424 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 179 and type {8,8}_178 not isomorphic to its dual or mirror-dual Automorphism group of order 1424 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^4*X^-1*Y^3 ] Chiral map of genus 179 and type {8,8}_356 isomorphic to its dual Automorphism group of order 1424 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-2*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 714 edges .......................... Chiral map of genus 232 and type {6,102}_238 not isomorphic to its dual or mirror-dual Automorphism group of order 1428 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^17*X^2*Y^4*X^-1*Y^-1*X*Y^12 ] Chiral map of genus 232 and type {6,102}_238 not isomorphic to its dual or mirror-dual Automorphism group of order 1428 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^17*X^3*Y^-1*X^2*Y^-1*X*Y^15 ] Chiral map of genus 341 and type {84,84}_34 isomorphic to its dual Automorphism group of order 1428 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X*Y^-1*X*Y^-3*X*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-2*X^9*Y^-1*X*Y^-3*X*Y^-6*X ] Chiral map of genus 344 and type {102,102}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1428 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^3*Y^-3*X*Y^-1*X*Y^-2*X^2*Y^-1*X^10*Y^-1*X^3*Y^-1*X^3*Y^-4*X ] .......................... Chiral maps with 715 edges .......................... Chiral map of genus 276 and type {10,65}_286 not isomorphic to its dual or mirror-dual Automorphism group of order 1430 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^2*X*Y^-1*X^-1*Y^3*X^-2*Y*X^-2*Y^6 ] Chiral map of genus 276 and type {10,65}_286 not isomorphic to its dual or mirror-dual Automorphism group of order 1430 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1, Y^2*X*Y^-3*X^-1*Y*X^2*Y^7 ] Chiral map of genus 342 and type {65,130}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1430 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X^-1*Y^42*X^-4*Y*X^-2*Y*X^-10*Y*X^-2*Y ] Chiral map of genus 342 and type {65,130}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1430 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-1*Y^42*X^-1*Y*X^-2*Y^5*X^-11*Y^2 ] .......................... Chiral maps with 720 edges .......................... Chiral map of genus 1 and type {4,4}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 61 and type {4,6}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^6, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1, X*Y^-3*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^3*X^2*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 91 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^8, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-2)^4 ] Chiral map of genus 91 and type {4,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-2)^4, X^-1*Y^-4*X*Y^-1*X^-2*Y^4*X^2*Y, Y^2*X*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y^-2*X*Y*X^-1*Y ] Chiral map of genus 91 and type {4,8}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^2*Y ] Chiral map of genus 91 and type {4,8}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y*X^-1*Y*X^-1*Y^2*X^2*Y ] Chiral map of genus 121 and type {4,12}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^12, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 151 and type {4,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-1*Y^-3 ] Chiral map of genus 151 and type {4,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^2*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 161 and type {4,36}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-2)^4, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1, Y^2*X*Y^-2*X^-1*Y^5*X^-1*Y^-7*X*Y^2 ] Chiral map of genus 161 and type {4,36}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^36 ] Chiral map of genus 163 and type {4,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^40 ] Chiral map of genus 171 and type {4,72}_360 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^72 ] Chiral map of genus 171 and type {4,72}_360 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^18*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X*Y^12 ] Chiral map of genus 121 and type {6,6}_8 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^6, Y^6, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 151 and type {6,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^6, Y^8, X^-1*Y^-4*X^-2*Y^-1*X*Y^3, (X*Y^-1*X)^4, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 193 and type {6,15}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^6, X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1, Y^-2*X^2*Y^-1*X^2*Y^2*X^-1*Y^-1*X, Y^-15 ] Chiral map of genus 181 and type {8,8}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^3*Y^-1*X^-2*Y^4*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X*Y^-1*X^-2*Y*X^3*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 181 and type {8,8}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-3*Y*X^2*Y^4*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X*Y^-1*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^2 ] Chiral map of genus 181 and type {8,8}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-2*X^-1*Y*X^2*Y^2*X^2*Y ] Chiral map of genus 181 and type {8,8}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-2*X^2*Y^2*X^2*Y ] Chiral map of genus 211 and type {8,12}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-3*X^2*Y^-3*X*Y, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y^-3 ] Chiral map of genus 211 and type {8,12}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-3*X^2*Y^-3*X*Y, Y^12, Y^-2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y^-1 ] Chiral map of genus 235 and type {8,20}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^20 ] Chiral map of genus 241 and type {8,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-3*X^2*Y^-3*X*Y, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-2*X*Y, Y^-6*X^-4*Y^-6 ] Chiral map of genus 241 and type {8,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-3*X^2*Y^-3*X*Y, Y^-2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y^-1, Y^-6*X^-4*Y^-6 ] Chiral map of genus 251 and type {8,36}_360 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^36 ] Chiral map of genus 251 and type {8,36}_360 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^36 ] Chiral map of genus 253 and type {8,40}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y^-10*X^-2*Y^-5*X*Y*X^-1*Y^-4 ] Chiral map of genus 261 and type {8,72}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^18*X^4*Y^18 ] Chiral map of genus 261 and type {8,72}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^18*X^4*Y^18 ] Chiral map of genus 241 and type {12,12}_8 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, (Y^-1*X)^5, X^12, Y^-1*X^6*Y^-5, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 241 and type {12,12}_8 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y*X^-1*Y*X^5*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 241 and type {12,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^12, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^12, Y*X*Y^-1*X^5*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 241 and type {12,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, (X*Y^-2*X*Y^-1*X)^2, X*Y^-1*X*Y^-2*X^2*Y^-5 ] Chiral map of genus 241 and type {12,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, X*Y^-1*X*Y^-2*X^2*Y^-5 ] Chiral map of genus 241 and type {12,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^12, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 241 and type {12,12}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^12, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 271 and type {12,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, X^12, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 271 and type {12,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^24 ] Chiral map of genus 271 and type {12,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^24 ] Chiral map of genus 271 and type {12,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X^-1*Y*X*Y^-1*X^2*Y^-3*X^-1*Y^5*X^-1*Y^-2 ] Chiral map of genus 271 and type {12,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, X^12, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y ] Chiral map of genus 271 and type {12,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, X^-1*Y*X*Y^-2*X^-1*Y^2*X^-2*Y*X^-1*Y^-6 ] Chiral map of genus 289 and type {15,30}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2, X^-15 ] Chiral map of genus 271 and type {16,16}_30 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X ] Chiral map of genus 271 and type {16,16}_30 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X*Y^-2*X^3*Y*X^-2*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^16 ] Chiral map of genus 271 and type {16,16}_30 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^16, Y^-1*X^8*Y^-7 ] Chiral map of genus 271 and type {16,16}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 271 and type {16,16}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X*Y^-1*X^-1*Y*X^3*Y^-2*X*Y^-2 ] Chiral map of genus 271 and type {16,16}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^6*Y^-1*X*Y^-1*X*Y, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 307 and type {16,80}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^-1*Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X*Y^-1, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, Y*X*Y^-3*X^3*Y^6, X^16 ] Chiral map of genus 307 and type {16,80}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^-1*Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X*Y^-1, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X*Y^-1*X^2*Y^-6 ] Chiral map of genus 311 and type {16,144}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^-5*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-2*Y^4*X^-1*Y^-5 ] Chiral map of genus 311 and type {16,144}_180 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^-1*X^-1*Y^2*X*Y^-6*X*Y^3*X^-1*Y^-6 ] Chiral map of genus 305 and type {18,45}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, X*Y^-1*X^-5*Y^3*X^-2*Y ] Chiral map of genus 307 and type {20,40}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, X^15*Y^-1*X^3*Y^-1 ] Chiral map of genus 301 and type {24,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X*Y^-4*X^3*Y^7, X*Y^-2*X^3*Y^-1*X*Y^-1*X^11*Y^-2*X^2 ] Chiral map of genus 301 and type {24,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y*X*Y^-4*X^3*Y^7 ] Chiral map of genus 301 and type {24,24}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, X^2*Y^-2*X*Y^-1*X^-7*Y^-1*X^2*Y^2, X^-1*Y*X*Y^-2*X^-1*Y^2*X^-2*Y*X^-1*Y^-6 ] Chiral map of genus 301 and type {24,24}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^4*X*Y^-2*X^9*Y^5*X^-2*Y ] Chiral map of genus 321 and type {36,36}_20 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-3*X*Y^-1*X^11*Y^-2*X^4*Y^-2*X^2 ] Chiral map of genus 321 and type {36,36}_20 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X^-1*Y^6*X^-1*Y^3*X^-1*Y*X^-11*Y^7*X^-1*Y^3*X^-1 ] Chiral map of genus 331 and type {36,72}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X^4*Y^-7*X^14*Y^-4*X*Y^-4*X ] Chiral map of genus 331 and type {36,72}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, Y^-1*X*Y^-2*X^4*Y^-2*X^3*Y^-2*X^12*Y^-4*X*Y^-3*X ] Chiral map of genus 325 and type {40,40}_12 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^5*X^-1*Y*X^-1*Y*X^-8*Y*X^-2*Y*X^-2*Y*X^-5*Y*X^-1 ] Chiral map of genus 337 and type {45,90}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-1*Y, X^-3*Y*X^-1*Y^23*X^-2*Y^2*X^-9*Y*X^-1*Y*X^-1 ] Chiral map of genus 331 and type {48,48}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-1*Y*X^-2*Y^24*X^-1*Y^2*X^-2*Y*X^-11*Y^2*X^-1 ] Chiral map of genus 331 and type {48,48}_30 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-1*X^6)^2 ] Chiral map of genus 331 and type {48,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X*Y^-4*X^3*Y^7, X^2*Y^-1*X^3*Y^-1*X*Y^-1*X^6*Y^-1*X^2*Y^-3*X^2*Y^-1 ] Chiral map of genus 331 and type {48,48}_60 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^2*Y^-2*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 341 and type {72,72}_20 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X*Y^-1*X*Y^-4*X*Y^-7*X^11*Y^-1*X*Y^-6*X*Y^-1 ] Chiral map of genus 341 and type {72,72}_20 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X^35*Y^-1*X^3*Y^-7*X^11*Y^-1*X*Y^-3*X*Y^-6*X ] Chiral map of genus 341 and type {72,72}_40 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^-1*Y^2*X^-2*Y^3*X^-3*Y^2*X^-2*Y^2*X^-1 ] Chiral map of genus 341 and type {72,72}_40 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^-1*Y^2*X^-2*Y^3*X^-8*Y^2 ] Chiral map of genus 343 and type {80,80}_6 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, Y*X^-1*Y*X^-1*Y*X^-50*Y*X^-1*Y^2*X^-3*Y^2*X^-13*Y*X^-1*Y ] Chiral map of genus 343 and type {80,80}_12 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^3*X^-1*Y*X^-3*Y*X^-2*Y*X^-1*Y^3*X^-1*Y^3*X^-6*Y*X^-2*Y*X^-2*Y*X^-5*Y*X^-1 ] Chiral map of genus 345 and type {90,90}_4 isomorphic to its mirror-dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^-2*Y^71*X^-13*Y*X^-2*Y ] Chiral map of genus 351 and type {144,144}_10 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^109*Y^-1*X*Y^-1*X*Y^-7*X^13*Y^-1*X*Y^-1*X*Y^-7 ] Chiral map of genus 351 and type {144,144}_20 isomorphic to its dual Automorphism group of order 1440 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X*Y^-2*X^33*Y^-1*X^3*Y^-7*X^11*Y^-1*X*Y^-3*X*Y^-7 ] .......................... Chiral maps with 723 edges .......................... Chiral map of genus 1 and type {3,6}_482 not isomorphic to its dual or mirror-dual Automorphism group of order 1446 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^3*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 724 edges .......................... Chiral map of genus 1 and type {4,4}_362 isomorphic to its dual Automorphism group of order 1448 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 728 edges .......................... Chiral map of genus 157 and type {4,28}_364 not isomorphic to its dual or mirror-dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^28 ] Chiral map of genus 261 and type {8,56}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y, X*Y^-2*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^7 ] Chiral map of genus 261 and type {8,56}_364 not isomorphic to its dual or mirror-dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y, X^-1*Y^2*X*Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y^-7 ] Chiral map of genus 305 and type {14,91}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^14, Y^-2*X^-1*Y^4*X^3*Y^-7 ] Chiral map of genus 313 and type {28,28}_52 isomorphic to its dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X*Y^-1*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-2*X*Y^-1, Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-12*Y^6*X^-1 ] Chiral map of genus 339 and type {56,56}_26 isomorphic to its dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-1*X^17*Y^-1*X*Y^-2*X^2*Y^-1*X^2*Y^-3*X^13*Y^-1*X*Y^-3*X*Y^-6*X ] Chiral map of genus 339 and type {56,56}_52 isomorphic to its dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X*Y^-1*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-2*X*Y^-1, X^-2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-10*Y^5*X^-1*Y ] Chiral map of genus 353 and type {91,182}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^69*X^-2*Y*X^-11*Y*X^-1*Y*X^-1 ] Chiral map of genus 357 and type {182,182}_4 isomorphic to its mirror-dual Automorphism group of order 1456 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^37*X^-14*Y^126*X^-1*Y*X^-1 ] .......................... Chiral maps with 729 edges .......................... Chiral map of genus 163 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-1)^6, Y^-3*X*Y^-1*X^-2*Y^-1*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 163 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, Y^9, Y*X^-2*Y*X*Y^-1*X^-3*Y^-1*X^2*Y ] Chiral map of genus 163 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, Y^9, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, (X*Y^-1)^6, Y^-1*X^2*Y^-2*X^-2*Y*X^-1*Y^-1*X^2*Y^-1*X ] Chiral map of genus 163 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, Y^9, Y*X*Y^-2*X^2*Y^3*X^-1, X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y*X^-2*Y^-1 ] Chiral map of genus 217 and type {6,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^-3*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 217 and type {6,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-5*X^-2*Y^-3*X^2*Y^-1 ] Chiral map of genus 217 and type {6,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, (X*Y^-1)^6, Y^-1*X^2*Y^-2*X^-2*Y*X^-1*Y^-1*X^2*Y^-1*X, Y^-5*X^-2*Y^-3*X^2*Y^-1 ] Chiral map of genus 217 and type {6,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, (X*Y^-1)^6, Y^-5*X^-2*Y^-3*X^2*Y^-1 ] Chiral map of genus 241 and type {6,243}_486 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-41*X^-2*Y^-1*X^2*Y^-39 ] Chiral map of genus 244 and type {9,18}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y*X*Y^-1*X^3*Y^2*X^-2, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-3*X*Y^3 ] Chiral map of genus 244 and type {9,18}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, X*Y^-3*X^3*Y^-1*X*Y*X^-1*Y, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, X^-1*Y^2*X^-4*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y*X^-1*Y*X^-4*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-1*X*Y^-3*X^-1*Y*X^-1*Y^-2*X*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X*Y^-1*X^-1*Y^3*X^2*Y^4*X^-1*Y^2, Y^2*X*Y^-4*X*Y^-1*X*Y^-3*X^2*Y^2 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-2*X^-1*Y^3*X^2*Y^-1*X*Y^-1*X*Y^-5 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-2*X^2*Y*X^-1*Y^2*X^-1, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-3*X*Y^3 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-3*X^2)^2, Y^-3*X*Y^-1*X^2*Y^-1*X*Y^-3, X*Y^-2*X^-1*Y*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y*X*Y^-4*X*Y^-1*X*Y^-2*X*Y^4 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, Y*X*Y^-1*X^3*Y^2*X^-2, X^3*Y^-1*X^3*Y^-5, Y^-1*X*Y^-1*X*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-2*Y^-1 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-3*X^2)^2, Y^-3*X*Y^-1*X^2*Y^-1*X*Y^-3, Y*X*Y^-1*X^-4*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-3*X^2)^2, Y^-3*X*Y^-1*X^2*Y^-1*X*Y^-3, Y^-1*X^-1*Y*X^-4*Y^2*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^2*X*Y^-4*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^3 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^-2*X^-1*Y^2*X*Y^-2*X^2*Y^3*X^-1*Y^-3 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, X*Y^-5*X^-2*Y^7, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y*X*Y^-5*X*Y^6, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, X*Y^-5*X^-2*Y^7, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2*X*Y^2 ] Chiral map of genus 244 and type {9,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^6*X^-2*Y^-5*X*Y, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y*X^-1*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^18, Y^-4*X^-1*Y*X^7*Y^-1*X*Y*X^-3*Y^-2 ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^-2*Y*X^-2*Y*X^-2*Y^7, X^-3*Y*X^5*Y*X^-2*Y*X^-1*Y*X^-1 ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^5, X*Y^-1*X*Y^-1*X^5*Y*X^-4*Y^-1*X ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-1*X*Y^-2*X, X^3*Y^-1*X^3*Y*X^-2*Y^-2, X^2*Y^-3*X^-2*Y^-6 ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-1*X*Y^-2*X, X^3*Y^-1*X^3*Y*X^-2*Y^-2, Y^-5*X^-2*Y^-3*X^2*Y^-1 ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^6*Y^-1*X*Y^-2*X, (X*Y^-3*X^2)^2, X^2*Y^-3*X^-2*Y^-6 ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-5*X^-2*Y^-3*X^2*Y^-1 ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-5*X^-2*Y^-3*X^2*Y^-1 ] Chiral map of genus 298 and type {18,27}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y^-5*X^-2*Y^-3*X^2*Y^-1 ] Chiral map of genus 316 and type {18,81}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-1*X^2*Y^-2*X^-2*Y^-6 ] Chiral map of genus 316 and type {18,81}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^-3*Y^-1*X*Y^4 ] Chiral map of genus 316 and type {18,81}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-5*X^-2*Y^-4*X^2 ] Chiral map of genus 316 and type {18,81}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X*Y^-4*X^7*Y^-2*X^2*Y^-2, Y^-14*X^2*Y^-1*X*Y*X^-1*Y^-11 ] Chiral map of genus 325 and type {27,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, X*Y^-1*X^-11*Y^-1*X*Y^-2*X^5, X^-2*Y^3*X^-3*Y*X^-11*Y*X^-3*Y*X^-2 ] Chiral map of genus 325 and type {27,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, X^-2*Y^2*X^-1*Y*X^-2*Y^2*X^-1*Y*X^-1*Y*X^-5*Y*X^-2*Y^3*X^-1*Y ] Chiral map of genus 325 and type {27,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-1*Y*X^-1, X^-2*Y*X^4*Y^-1*X*Y^2*X^-1, X^2*Y^-1*X^3*Y^-1*X*Y^-1*X^9*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 325 and type {27,54}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y*X^-1*Y^-2, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X^-1*Y^2*X^-1*Y^3*X^-6*Y*X^-7*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 352 and type {81,162}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1458 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, Y*X*Y^-1*X^3*Y^2*X^-2, X^-2*Y*X^-1*Y*X^-53*Y*X^-2*Y^2*X^-2*Y*X^-13*Y^2 ] .......................... Chiral maps with 730 edges .......................... Chiral map of genus 1 and type {4,4}_730 isomorphic to its dual Automorphism group of order 1460 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-1*X ] Chiral map of genus 1 and type {4,4}_730 isomorphic to its dual Automorphism group of order 1460 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 293 and type {20,20}_146 isomorphic to its dual Automorphism group of order 1460 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 361 and type {292,292}_10 isomorphic to its dual Automorphism group of order 1460 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^109*Y^-2*X*Y^-10*X^13*Y^-1*X*Y^-1*X*Y^-7 ] .......................... Chiral maps with 732 edges .......................... Chiral map of genus 1 and type {3,6}_244 not isomorphic to its dual or mirror-dual Automorphism group of order 1464 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^3*X*Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 123 and type {4,12}_366 not isomorphic to its dual or mirror-dual Automorphism group of order 1464 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 184 and type {6,12}_244 not isomorphic to its dual or mirror-dual Automorphism group of order 1464 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y^-1*X^2*Y^-2*X^-1*Y*X^2 ] Chiral map of genus 184 and type {6,12}_244 not isomorphic to its dual or mirror-dual Automorphism group of order 1464 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-3*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-3*X*Y^-1 ] Chiral map of genus 245 and type {12,12}_122 isomorphic to its dual Automorphism group of order 1464 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 245 and type {12,12}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1464 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, Y^-1*X^-2*Y*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^2*X^2*Y^-1*X ] Chiral map of genus 245 and type {12,12}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1464 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-1*X)^4, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, Y^-1*X^-1*Y*X^5*Y*X^-1*Y^2*X^-1*Y^-1 ] .......................... Chiral maps with 735 edges .......................... Chiral map of genus 197 and type {6,15}_490 not isomorphic to its dual or mirror-dual Automorphism group of order 1470 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, Y*X^-2*Y*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^-2*X^-1 ] Chiral map of genus 239 and type {6,105}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1470 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-18*X^2*Y^-1*X*Y*X^-1*Y^-4*X*Y*X^-1*Y^-10 ] Chiral map of genus 295 and type {15,30}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 1470 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y^-1*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^3*X^-1*Y^2*X^-2*Y^-1 ] Chiral map of genus 337 and type {30,105}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1470 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^-2*Y^2*X^-4*Y*X^-2*Y^4 ] Chiral map of genus 344 and type {42,105}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1470 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^2*Y^-1*X^3*Y^7, Y^2*X^-1*Y^2*X^-2*Y*X^-1*Y*X^-4*Y^5*X^-2 ] Chiral map of genus 358 and type {105,210}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1470 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X*Y^-2*X^66*Y^-5*X^2*Y^-1*X^15*Y^-1*X*Y^-4*X*Y^-1*X*Y^-4 ] .......................... Chiral maps with 737 edges .......................... Chiral map of genus 269 and type {11,22}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 1474 with defining relations: [ (X*Y)^2, X^-11, Y^3*X^-3*Y*X^-1*Y^2*X^-1, Y*X*Y^-2*X^3*Y*X^-2*Y^2 ] Chiral map of genus 269 and type {11,22}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 1474 with defining relations: [ (X*Y)^2, X^-11, Y^4*X^-2*Y^3*X^-1*Y ] Chiral map of genus 269 and type {11,22}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 1474 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, X^-11 ] Chiral map of genus 269 and type {11,22}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 1474 with defining relations: [ (X*Y)^2, X^-11, Y*X^-2*Y*X^-2*Y*X^-1*Y^3 ] Chiral map of genus 269 and type {11,22}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 1474 with defining relations: [ (X*Y)^2, X^-11, X^-1*Y*X^-4*Y*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 738 edges .......................... Chiral map of genus 1 and type {4,4}_246 isomorphic to its dual Automorphism group of order 1476 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] Chiral map of genus 329 and type {36,36}_82 isomorphic to its dual Automorphism group of order 1476 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y*X^-1*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] .......................... Chiral maps with 740 edges .......................... Chiral map of genus 1 and type {4,4}_370 isomorphic to its dual Automorphism group of order 1480 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 1 and type {4,4}_370 isomorphic to its dual Automorphism group of order 1480 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 149 and type {4,20}_370 not isomorphic to its dual or mirror-dual Automorphism group of order 1480 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 181 and type {4,148}_370 not isomorphic to its dual or mirror-dual Automorphism group of order 1480 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^37*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^30 ] Chiral map of genus 297 and type {20,20}_74 isomorphic to its dual Automorphism group of order 1480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2, X*Y^-1*X^12*Y^-2*X*Y^-3 ] Chiral map of genus 361 and type {148,148}_10 isomorphic to its dual Automorphism group of order 1480 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-109*X*Y^-2*X*Y^-2*X*Y^-7*X^11*Y^-1*X*Y^-3*X*Y^-8 ] .......................... Chiral maps with 741 edges .......................... Chiral map of genus 1 and type {3,6}_494 not isomorphic to its dual or mirror-dual Automorphism group of order 1482 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 1 and type {3,6}_494 not isomorphic to its dual or mirror-dual Automorphism group of order 1482 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 229 and type {6,39}_494 not isomorphic to its dual or mirror-dual Automorphism group of order 1482 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^6 ] Chiral map of genus 235 and type {6,57}_494 not isomorphic to its dual or mirror-dual Automorphism group of order 1482 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^4*X*Y^-4*X^-1*Y*X*Y^-1*X^-2*Y^-1*X^2*Y^-5*X^-1*Y^3 ] Chiral map of genus 343 and type {39,78}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1482 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^-2*X*Y, Y^-2*X^2*Y^-1*X*Y^-2*X^2*Y^-1*X^16*Y^-1*X^3*Y^-1*X^3*Y^-4 ] Chiral map of genus 352 and type {57,114}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1482 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, Y^-2*X*Y^-1*X*Y^-1*X^11*Y^-1*X^3*Y^-2*X*Y^-2*X^2*Y^-1*X^16*Y^-1*X^3*Y^-1*X^3*Y^-4 ] .......................... Chiral maps with 742 edges .......................... Chiral map of genus 319 and type {28,28}_106 isomorphic to its dual Automorphism group of order 1484 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y^2*X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] .......................... Chiral maps with 744 edges .......................... Chiral map of genus 63 and type {3,12}_248 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y*X^-1*Y^2*X^-1*Y^3*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 125 and type {6,6}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 187 and type {6,12}_248 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-3*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-2*Y^-2*X*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 218 and type {6,24}_248 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 218 and type {6,24}_248 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-2*X^2*Y^-1*X^2*Y^-5, X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 249 and type {12,12}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^12, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^-1*X ] Chiral map of genus 280 and type {12,24}_248 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^4*X*Y^-2*X*Y^6, X^-1*Y*X^3*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-2*Y*X^-1 ] Chiral map of genus 280 and type {12,24}_248 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y^-3*X^4*Y*X^-2*Y^-2, Y*X^-1*Y*X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 311 and type {24,24}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-3*Y^-1*X, X^-1*Y^2*X^-1*Y^2*X^-12*Y^6 ] Chiral map of genus 311 and type {24,24}_124 not isomorphic to its dual or mirror-dual Automorphism group of order 1488 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X^6*Y^-5, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-3*Y^-1*X ] .......................... Chiral maps with 746 edges .......................... Chiral map of genus 1 and type {4,4}_746 isomorphic to its dual Automorphism group of order 1492 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 748 edges .......................... Chiral map of genus 171 and type {4,44}_374 not isomorphic to its dual or mirror-dual Automorphism group of order 1496 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2, Y*X*Y^-2*X^-1*Y^6*X*Y^-2*X^2*Y^-1*X*Y^5*X^-1*Y^-2*X*Y^3 ] Chiral map of genus 341 and type {44,44}_34 isomorphic to its dual Automorphism group of order 1496 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X*Y^-11*X*Y^-7*X^11*Y^-1*X*Y^-3*X*Y^-6*X ] Chiral map of genus 358 and type {88,88}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1496 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X^-20*Y^3*X^-1*Y^3*X^-2*Y*X^-8*Y*X^-3*Y*X^-1 ] .......................... Chiral maps with 750 edges .......................... Chiral map of genus 296 and type {10,150}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^15*X^2*Y*X^-1*Y^-5*X^-1*Y^9 ] Chiral map of genus 296 and type {10,150}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^15*X*Y^-3*X*Y^2*X^-1*Y^-1*X*Y^9 ] Chiral map of genus 251 and type {12,12}_10 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-1*X)^4, (Y^2*X^-1*Y*X^-1*Y)^2, Y^12, Y^-1*X^-2*Y*X*Y^-1*X*Y*X^-2*Y^-2, X^-1*Y*X^6*Y^-1*X^3*Y*X^-1 ] Chiral map of genus 251 and type {12,12}_10 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, Y^-1*X*Y^-2*X^3*Y^-3*X^2, X*Y^-3*X^4*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 251 and type {12,12}_10 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, X^12, X^3*Y^-1*X^3*Y^-1*X*Y^3, Y*X^-2*Y*X^3*Y^-2*X*Y^2 ] Chiral map of genus 251 and type {12,12}_50 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2 ] Chiral map of genus 251 and type {12,12}_250 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 336 and type {30,50}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, (X*Y^-2*X^2)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-6 ] Chiral map of genus 336 and type {30,50}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, (X*Y^-2*X^2)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X*Y^-5*X^2*Y^-3*X*Y^2 ] Chiral map of genus 346 and type {30,150}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^5*X^3*Y^-3*X*Y^2, Y^3*X^-5*Y^2*X^-2*Y*X^-7*Y^2*X^-1*Y^2*X^-2*Y*X^-1*Y ] Chiral map of genus 346 and type {30,150}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X*Y^-2*X^2*Y^-1*X*Y^4, Y^3*X^-2*Y^2*X^-1*Y^5*X^-7*Y^2*X^-1*Y^2*X^-2*Y*X^-1*Y ] Chiral map of genus 351 and type {60,60}_10 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X*Y^-1*X^2*Y^-1*X^2*Y^-3*X^9*Y^-1*X^3*Y^-3*X^2*Y^-2 ] Chiral map of genus 351 and type {60,60}_10 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y^2*X^-1, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X^-1*Y*X^-1*Y*X^-3*Y^2*X^-4*Y*X^-6*Y*X^-3*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 351 and type {60,60}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X^-1*Y^4*X^-2*Y^3*X^-1*Y^3*X^-11*Y^2*X^-2 ] Chiral map of genus 351 and type {60,60}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-1*Y*X^-1, X^-3*Y*X^-2*Y^4*X^-2*Y*X^-2*Y^4*X^-5*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 351 and type {60,60}_50 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y^-1*X*Y^-1*X*Y^-2*X*Y^-2*X^11*Y^-1*X*Y^-6*X^2 ] Chiral map of genus 371 and type {300,300}_10 isomorphic to its dual Automorphism group of order 1500 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^112*Y^-2*X*Y^-10*X^13*Y^-1*X*Y^-1*X*Y^-7*X ] .......................... Chiral maps with 754 edges .......................... Chiral map of genus 1 and type {4,4}_754 isomorphic to its dual Automorphism group of order 1508 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 1 and type {4,4}_754 isomorphic to its dual Automorphism group of order 1508 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 349 and type {52,52}_58 isomorphic to its dual Automorphism group of order 1508 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, X^-2*Y^2*X^-1*Y*X^-1*Y*X^-10*Y^6*X^-1*Y ] Chiral map of genus 365 and type {116,116}_26 isomorphic to its dual Automorphism group of order 1508 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-1*X*Y^-1*X*Y^-20*X*Y^-1*X*Y^-7*X^11*Y^-1*X*Y^-3*X*Y^-7 ] .......................... Chiral maps with 755 edges .......................... Chiral map of genus 152 and type {5,10}_302 not isomorphic to its dual or mirror-dual Automorphism group of order 1510 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, X*Y^-1*X^2*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 152 and type {5,10}_302 not isomorphic to its dual or mirror-dual Automorphism group of order 1510 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, Y^2*X^2*Y^-5*X^2*Y*X^-1*Y^4*X^-1 ] .......................... Chiral maps with 756 edges .......................... Chiral map of genus 1 and type {3,6}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y ] Chiral map of genus 43 and type {3,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^3, Y^9, Y^-1*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-2, Y^-1*X^-1*Y*X^-1*Y^4*X*Y^-3*X*Y^-4*X*Y^-3*X*Y^-1 ] Chiral map of genus 64 and type {3,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^3, Y^12, (Y^2*X^-1*Y^2)^3, Y*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 127 and type {6,6}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^6, (Y*X^-1*Y)^3, Y*X*Y^-1*X^2*Y^-1*X^-2*Y^-1*X*Y*X^-2*Y, Y^-1*X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^-1, X^-1*Y*X^2*Y^-3*X^2*Y^3*X*Y^-1*X*Y^-1 ] Chiral map of genus 127 and type {6,6}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^6, X*Y^-3*X*Y^-1*X*Y^3*X*Y^-1, Y^-1*X^-2*Y^-3*X^3*Y^3*X, X^-2*Y*X^-2*Y*X^2*Y^3*X^-1*Y*X^-2*Y ] Chiral map of genus 169 and type {6,9}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^9, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, X^-1*Y^2*X^-2*Y*X^2*Y^-2*X*Y^2, Y^-1*X^-2*Y*X*Y^-1*X^-3*Y^-1*X*Y*X^-2*Y^-1 ] Chiral map of genus 169 and type {6,9}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^9, (Y^-1*X)^3, Y^2*X*Y^-1*X^2*Y^-2*X^3*Y*X^-2*Y^2*X^-2 ] Chiral map of genus 169 and type {6,9}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^9, X^-1*Y*X^2*Y^-1*X^3*Y*X^-2*Y^-2, Y^3*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 169 and type {6,9}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^-1*X^2*Y*X^-2*Y^2*X*Y^-1*X*Y^-1*X^-1 ] Chiral map of genus 169 and type {6,9}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 169 and type {6,9}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y*X^-2*Y*X^-1 ] Chiral map of genus 190 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, X^2*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y^-2, Y^-2*X*Y^-2*X^2*Y^-2*X*Y^-2 ] Chiral map of genus 190 and type {6,12}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^2*X^-1*Y*X^2*Y^-2*X*Y, (X*Y^-1*X)^4, (X*Y^-1)^6, Y^-3*X^2*Y^-1*X^-2*Y^2*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 190 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2*X^-1 ] Chiral map of genus 190 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^12 ] Chiral map of genus 190 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 190 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-2*X^-1*Y*X*Y^-2*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y^-2*X*Y^-2 ] Chiral map of genus 190 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y^12, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X ] Chiral map of genus 190 and type {6,12}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^12, Y^2*X*Y^-2*X*Y^-2*X^4*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 232 and type {6,36}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^36 ] Chiral map of genus 232 and type {6,36}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X*Y^-1*X^-1*Y*X^-2*Y*X^-2*Y*X^4*Y*X^-2*Y^6 ] Chiral map of genus 232 and type {6,36}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^5 ] Chiral map of genus 232 and type {6,36}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^36 ] Chiral map of genus 232 and type {6,36}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-2*X^-1*Y^4*X^-2*Y^3*X^-1*Y^-3 ] Chiral map of genus 232 and type {6,36}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-7 ] Chiral map of genus 241 and type {6,63}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y^-1*X*Y*X^-1, Y^10*X*Y^-1*X^3*Y*X^-2*Y^5*X^2*Y^4 ] Chiral map of genus 250 and type {6,252}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^42*X^3*Y^-1*X*Y^41 ] Chiral map of genus 211 and type {9,9}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^9, Y^9, Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^-2, Y*X^-2*Y*X^4*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 232 and type {9,12}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^12, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^2*X*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-3*X*Y^2 ] Chiral map of genus 232 and type {9,12}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^12, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^2 ] Chiral map of genus 232 and type {9,12}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^12, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^2*X*Y^-3*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X*Y^2 ] Chiral map of genus 253 and type {9,18}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 274 and type {9,36}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^-5*X^-3*Y^-7, Y^2*X*Y^-1*X^-1*Y^3*X^2*Y^4*X^-1*Y^2, Y^2*X*Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 253 and type {12,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-2*X*Y^-1*X^3*Y^-1*X^2*Y^-2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 253 and type {12,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-1*Y^-1*X*Y^2*X*Y^-1*X*Y^-1*X^-1 ] Chiral map of genus 253 and type {12,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 253 and type {12,12}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y^-1 ] Chiral map of genus 274 and type {12,18}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-3*Y^-1, Y^18 ] Chiral map of genus 274 and type {12,18}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-2*Y^-1*X*Y^-1*X^2*Y^2 ] Chiral map of genus 274 and type {12,18}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-2*Y*X^-2*Y*X^3*Y^-1*X*Y^2*X^-2*Y ] Chiral map of genus 274 and type {12,18}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-2*X^4*Y^-1*X*Y^-3, Y^18 ] Chiral map of genus 274 and type {12,18}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, X^-1*Y^3*X^4*Y^4*X^-1*Y ] Chiral map of genus 274 and type {12,18}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-2*X^4*Y^-1*X*Y^3 ] Chiral map of genus 295 and type {12,36}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-3*Y^-1, Y^9*X*Y^-2*X*Y^7 ] Chiral map of genus 295 and type {12,36}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-2*Y*X^-2*Y^-1*X*Y^2 ] Chiral map of genus 295 and type {12,36}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-2*Y*X^-2*Y*X^3*Y^-1*X^2*Y^-1*X*Y^2 ] Chiral map of genus 295 and type {12,36}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^-8*X^-1*Y*X*Y^-1*X*Y^2*X^-1*Y^-6 ] Chiral map of genus 295 and type {12,36}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, X^12, (X*Y^-1*X^4)^2 ] Chiral map of genus 295 and type {12,36}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-3*X^2*Y^-4*X ] Chiral map of genus 304 and type {12,63}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, Y^-11*X^5*Y^4*X^-1*Y^-3*X^-2*Y^-3 ] Chiral map of genus 310 and type {12,126}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^21*X^-2*Y^4*X^-1*Y^-1*X*Y^16 ] Chiral map of genus 313 and type {12,252}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^21*X^-2*Y*X^-1*Y^-4*X*Y^16 ] Chiral map of genus 316 and type {18,36}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y*X^7*Y*X^-5, X^-3*Y^2*X^-2*Y*X^-2*Y*X^-1*Y*X^-1*Y*X^-3 ] Chiral map of genus 316 and type {18,36}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^7*Y*X^-5, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X, X^-2*Y^2*X^-3*Y*X^-3*Y*X^-3*Y^2*X^-1 ] Chiral map of genus 316 and type {18,36}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-5*X*Y^6, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-3*Y^-1, X^-2*Y^3*X^-9*Y^3*X^-1 ] Chiral map of genus 316 and type {18,36}_84 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y*X*Y^-5*X*Y^6, X^-1*Y^2*X^-3*Y*X^-5*Y^2*X^-1*Y^3 ] Chiral map of genus 328 and type {18,84}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^14*X^2*Y^4*X^-1*Y^-2*X^-1*Y^8 ] Chiral map of genus 337 and type {27,54}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-2*X^-1*Y^2*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y^-2, Y^-3*X^15*Y^-9 ] Chiral map of genus 337 and type {36,36}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X^6*Y^5, X^-3*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y*X^-2*Y*X^-2*Y^2*X^-8*Y^2*X^-1*Y^2 ] Chiral map of genus 337 and type {36,36}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y^2*X^-1*Y^-3*X, X^2*Y^-6*X^15*Y^-7*X^2*Y^-1*X^3 ] Chiral map of genus 340 and type {36,42}_252 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^10*Y^-2*X^2*Y^2, Y^-1*X^-1*Y^3*X*Y^-2*X^-2*Y^-8 ] Chiral map of genus 349 and type {36,84}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^10*Y^-2*X^2*Y^2, Y^2*X*Y^-4*X^5*Y^8 ] Chiral map of genus 349 and type {42,63}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2, Y^-4*X^10*Y^-3*X^2*Y^-2 ] Chiral map of genus 358 and type {42,252}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^6*X^3*Y^-4*X*Y^2, X^6*Y^-2*X*Y^-2*X^12*Y^-1*X^2*Y^-3*X^3*Y^-4*X^6 ] Chiral map of genus 358 and type {54,108}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^-1*Y*X^-25*Y*X^-2*Y*X^-1*Y^6*X^-11*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 358 and type {54,108}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^-1*X^2*Y^-1*X^11*Y^-1*X^3*Y^-5 ] Chiral map of genus 352 and type {56,56}_6 isomorphic to its dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, X^-2*Y*X^-3*Y^4*X^-1*Y*X^-10*Y^3*X^-3 ] Chiral map of genus 358 and type {63,84}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-2*X^4*Y*X^-1*Y^4, Y^-3*X^2*Y^-1*X^10*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 364 and type {84,126}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^6*X^3*Y^-4*X*Y^2, Y^3*X^-3*Y^4*X^-3*Y^3*X^-2*Y*X^-10*Y^2*X^-1*Y*X^-2*Y*X^-3*Y^3 ] Chiral map of genus 367 and type {84,252}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-2*Y*X^-15*Y^2*X^-1*Y^2 ] Chiral map of genus 365 and type {108,108}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^3*Y^-68*X^3*Y^-4*X*Y^-3*X^14*Y^-3*X*Y^-1*X*Y^-2*X*Y^-3 ] Chiral map of genus 370 and type {168,168}_6 isomorphic to its dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^2*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X^2*Y^-2*X^12*Y^-1*X^2*Y^-1*X*Y^-1*X^3 ] Chiral map of genus 371 and type {189,189}_4 isomorphic to its mirror-dual Automorphism group of order 1512 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-130*X^14*Y^-39*X*Y^-2 ] .......................... Chiral maps with 759 edges .......................... Chiral map of genus 323 and type {22,33}_138 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, Y^3*X^-3*Y^2*X^-1*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 323 and type {22,33}_138 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, X^-6*Y^2*X^-2*Y ] Chiral map of genus 323 and type {22,33}_138 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, X^-2*Y*X^-3*Y*X^-1*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 323 and type {22,33}_138 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, Y*X^-2*Y*X^-2*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 323 and type {22,33}_138 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X^-1*Y^2*X^-2*Y^3*X^-1*Y ] Chiral map of genus 346 and type {33,66}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y*X^-4*Y*X^-4*Y*X^-1*Y^3*X^-1*Y*X^-11*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 346 and type {33,66}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y*X^-2*Y^2, X^-3*Y^9*X^-1*Y*X^-2*Y^3*X^-1*Y^2*X^-6*Y^2*X^-2*Y ] Chiral map of genus 346 and type {33,66}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-1*Y^3*X^-5*Y^2*X^-3*Y*X^-2*Y^2*X^-6*Y^6*X^-2 ] Chiral map of genus 346 and type {33,66}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, Y^3*X^-1*Y*X^-1*Y^6*X^-5*Y*X^-2*Y*X^-8*Y^4 ] Chiral map of genus 346 and type {33,66}_46 not isomorphic to its dual or mirror-dual Automorphism group of order 1518 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^2*X^-1*Y^6*X^-2*Y^2*X^-1*Y^2*X^-2*Y^2*X^-7*Y^3*X^-2*Y ] .......................... Chiral maps with 760 edges .......................... Chiral map of genus 181 and type {4,76}_380 not isomorphic to its dual or mirror-dual Automorphism group of order 1520 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^76 ] Chiral map of genus 281 and type {8,152}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 1520 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^19*X^-1*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^14 ] Chiral map of genus 281 and type {8,152}_380 not isomorphic to its dual or mirror-dual Automorphism group of order 1520 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^19*X*Y^-1*X^2*Y^-6*X*Y^12 ] Chiral map of genus 361 and type {76,76}_20 isomorphic to its dual Automorphism group of order 1520 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X*Y^-2*X*Y^-1*X^33*Y^-3*X*Y^-1*X^2*Y^-7*X^11*Y^-1*X*Y^-3*X*Y^-6*X ] Chiral map of genus 371 and type {152,152}_10 isomorphic to its dual Automorphism group of order 1520 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-1*X^112*Y^-2*X*Y^-10*X^13*Y^-1*X*Y^-1*X*Y^-6*X*Y^-1 ] Chiral map of genus 371 and type {152,152}_20 isomorphic to its dual Automorphism group of order 1520 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y^-41*X*Y^-1*X^2*Y^-1*X*Y^-3*X^13*Y^-1*X*Y^-3*X*Y^-6*X ] .......................... Chiral maps with 762 edges .......................... Chiral map of genus 128 and type {6,6}_254 not isomorphic to its dual or mirror-dual Automorphism group of order 1524 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X*Y^-1*X*Y*X^-1*Y^-1*X^2*Y^-1*X*Y^-1*X^2*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y^-2*X^-1*Y*X^-1*Y*X ] .......................... Chiral maps with 768 edges .......................... Chiral map of genus 97 and type {3,24}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^3, Y^2*X^-1*Y^4*X*Y^-1*X^-1*Y^2*X^-1*Y^4*X^-1*Y, Y*X^-1*Y^2*X^-1*Y^3*X*Y^-1*X*Y^-4*X*Y^3 ] Chiral map of genus 65 and type {4,6}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, Y^6, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 129 and type {4,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y^12, Y^4*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^3*X^-1 ] Chiral map of genus 129 and type {4,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^3, (X*Y^-5)^2 ] Chiral map of genus 129 and type {4,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^-3, (X*Y^-5)^2, Y^12 ] Chiral map of genus 129 and type {4,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-5)^2, Y^12, Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 129 and type {4,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, Y^12, X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1, Y*X*Y^-2*X*Y^-2*X*Y^3*X^-1*Y^2 ] Chiral map of genus 129 and type {4,12}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-5)^2, Y^12, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y^-1*X*Y ] Chiral map of genus 161 and type {4,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y^-2*X*Y^-2*X, Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^2*Y^-3*X*Y^-2, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 161 and type {4,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-5)^2, Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^3*X*Y^-2*X*Y^3*X^-1*Y^-2 ] Chiral map of genus 161 and type {4,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, X*Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^3, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 161 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y^4*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^3*X^-1, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 161 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4, (X*Y^-5)^2, Y^24 ] Chiral map of genus 161 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^4, X*Y^-3*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y^-1, (X*Y^-5)^2, Y^-2*X^-1*Y^3*X*Y^-1*X^2*Y^-2*X*Y*X^-1*Y^-3 ] Chiral map of genus 129 and type {6,6}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, Y^-1*X^-2*Y*X^3*Y^3*X*Y^-1 ] Chiral map of genus 129 and type {6,6}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-1)^6, X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y^-1*X^2*Y^-1*X, X*Y^-2*X^-1*Y*X^-2*Y^3*X*Y^-2*X ] Chiral map of genus 129 and type {6,6}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, (Y^-1*X^2*Y^-1)^3, X*Y^-3*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-2, X*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 129 and type {6,6}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1, X*Y^-3*X*Y^-1*X*Y^3*X*Y^-1, Y*X^-2*Y*X*Y^-1*X^2*Y^3*X^-2*Y ] Chiral map of genus 129 and type {6,6}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, Y^-2*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 129 and type {6,6}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2*X*Y^-1*X)^2, Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^3*X^-1*Y, Y*X*Y^-1*X*Y^-2*X^2*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 129 and type {6,6}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-1*Y^-3*X^-3*Y^-3*X^3*Y^3*X^3*Y^3*X^-2 ] Chiral map of genus 129 and type {6,6}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1*X*Y^-2*X)^2, Y*X^-1*Y*X^-1*Y^-3*X^2*Y^3*X*Y^-2*X^-1 ] Chiral map of genus 129 and type {6,6}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^6, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, Y*X^-2*Y^-3*X^2*Y^-1*X*Y*X^-2*Y ] Chiral map of genus 161 and type {6,8}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, X^-1*Y^-4*X^3*Y^4*X^-2, (X*Y^-1*X)^4, (X*Y^-1*X*Y^-2*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 161 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, Y^3*X*Y^-1*X^-2*Y^-1*X^2*Y*X^-1, (X*Y^-1*X)^4 ] Chiral map of genus 161 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, X^-1*Y^-4*X^3*Y^4*X^-2, (X*Y^-1*X)^4, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, Y^-1*X*Y^-3*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 161 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, X^-1*Y^-4*X^3*Y^4*X^-2, (X*Y^-1*X)^4, (X*Y^-1*X*Y^-2*X)^2, Y^-1*X*Y^-3*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 161 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X*Y^-1*X^2*Y*X^-2*Y^2 ] Chiral map of genus 161 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, (X*Y^-1*X)^4, X*Y^-2*X^-2*Y*X^2*Y^-1*X*Y*X^-2*Y^-1 ] Chiral map of genus 161 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-3)^2, X*Y^-2*X^-2*Y*X^2*Y^-1*X*Y*X^-2*Y^-1 ] Chiral map of genus 161 and type {6,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^3*Y^-1*X*Y*X^-2*Y*X^-1 ] Chiral map of genus 161 and type {6,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, X^-1*Y^-4*X^3*Y^4*X^-2, (X*Y^-2*X*Y^-1*X)^2, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 161 and type {6,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, (X*Y^-1*X*Y^-2*X)^2, Y^-1*X*Y^-4*X^2*Y^-1*X*Y*X^-2*Y^-1 ] Chiral map of genus 161 and type {6,8}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-2*X^-1*Y*X^-2*Y*X*Y^-1*X^3*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 193 and type {6,12}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, (X*Y^-1*X*Y^-2*X)^2, (X*Y^-1)^6 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^-3*Y^-2*X*Y^2, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^-3*Y^-1*X^2*Y^2, (X*Y^-1*X)^4, (X*Y^-1)^6, (X*Y^-2)^4 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2, Y^12 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^-3*Y^-1*X^2*Y^2, (X*Y^-1)^6, (X*Y^-5)^2, Y^12 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-1)^6, Y^12, Y^-1*X^-1*Y*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X*Y^-1, Y^-2*X^2*Y^-1*X^-3*Y^2*X^-2*Y^-1*X ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^-3*Y^-2*X*Y^2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1)^6 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^-3*Y^-2*X*Y^2, (X*Y^-1*X*Y^-2*X)^2, (X*Y^-4*X)^2 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^-3*Y^-1*X^2*Y^2, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y^12, Y*X^-1*Y^4*X^2*Y^-1*X*Y^4 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-1*X*Y^-2*X^-3*Y^-1*X^2*Y^-2, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 193 and type {6,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-3*Y^-2*X*Y^-2, Y^-1*X^-1*Y*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-2*X*Y^-1*X^2*Y*X^-1*Y^-2, X^-1*Y*X^2*Y^-2*X^-1*Y*X^4*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y^12, X^2*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^2*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, (X*Y^-5)^2, Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y^-1 ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^12, Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y, Y*X^-1*Y^4*X^2*Y^-1*X*Y^4 ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^12, Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y*X^-1*Y^-1, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^12, Y^-1*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y*X^-1*Y^-1, Y*X^-1*Y^4*X^2*Y^-1*X*Y^4 ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-5)^2, Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^12, Y^4*X*Y^-1*X^2*Y^4*X^-1*Y, Y^2*X*Y^-1*X^-1*Y*X^2*Y^2*X^-1*Y^2*X^-1 ] Chiral map of genus 193 and type {6,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^12, X*Y^-1*X^-1*Y^3*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^2 ] Chiral map of genus 209 and type {6,16}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, Y^-3*X^2*Y^-1*X^-1*Y^2*X^-1*Y^-1*X^2*Y^-1, X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 209 and type {6,16}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1, Y^-2*X^-1*Y*X*Y^-2*X^4*Y*X^-2*Y*X^-2*Y^-1 ] Chiral map of genus 209 and type {6,16}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, Y^3*X^2*Y^-1*X^-1*Y^2*X^-1*Y^-1*X^2*Y, X^2*Y^-3*X^-2*Y*X^-2*Y^-1*X^2*Y^-1, X*Y^-2*X^2*Y^-1*X^-2*Y^2*X^-1*Y^3 ] Chiral map of genus 209 and type {6,16}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^4, (X*Y^-1*X*Y^-2*X)^2, Y^-1*X*Y^-3*X^2*Y^-3*X*Y^-1, X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 209 and type {6,16}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-3)^2, (X*Y^-1*X)^4, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 209 and type {6,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1, X^2*Y^-1*X^2*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y^-1, Y^16 ] Chiral map of genus 209 and type {6,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1)^4, X*Y^-3*X^-2*Y*X^-1*Y^-1*X^2*Y^-1, Y^16 ] Chiral map of genus 209 and type {6,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2*X*Y^-1*X)^2, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 209 and type {6,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1, Y^-1*X^2*Y^-1*X^2*Y^-1*X^2*Y^-1*X^2*Y^-4, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^3*Y^-1*X*Y*X^-2*Y*X^-1 ] Chiral map of genus 225 and type {6,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1*X*Y^-2*X)^2, X*Y^-4*X^2*Y^-1*X*Y^3 ] Chiral map of genus 225 and type {6,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^-3*Y^-1*X^2*Y^2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4 ] Chiral map of genus 225 and type {6,24}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, X^-1*Y^2*X*Y^-1*X^2*Y^-5 ] Chiral map of genus 225 and type {6,24}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-7*X^3*Y^-5, Y*X*Y^-3*X*Y^-2*X^-1*Y^2*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 241 and type {6,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y^2*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X*Y, Y^-2*X^-1*Y^7*X^2*Y^4*X^-1*Y^-3 ] Chiral map of genus 241 and type {6,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1*X*Y^-2*X)^2, (X*Y^-2)^4, (X*Y^-5)^2, Y^-1*X^-2*Y*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X, Y^-1*X^-1*Y^2*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 225 and type {8,12}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-2*X^2*Y^-1, (X*Y^-2)^4, Y^12, X*Y^-4*X^3*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-2)^4, Y^12, Y*X*Y^-1*X^-1*Y*X^3*Y^4*X^-1*Y ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, (X*Y^-1*X*Y^-2*X)^2, X^-1*Y*X^-3*Y*X^3*Y*X^-3*Y, Y^12 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-2)^4, (X*Y^-5)^2, Y^12 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y, (X*Y^-2)^4, Y^12, Y^5*X^3*Y^5*X^-1 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-2*X*Y^-1*X^3*Y^2*X^-2*Y^-1, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, X^-1*Y*X^-3*Y*X^3*Y*X^-3*Y, Y^12 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-5)^2, Y^12, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, (X*Y^-1*X*Y^-2*X)^2, Y^2*X^3*Y^-1*X^-1*Y*X^-1*Y^-1*X^3*Y ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-5)^2, Y^12, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X^2*Y^-2*X*Y*X^-1*Y ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (Y^-1*X^2*Y^-1)^3, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1, (X*Y^-2)^4, Y^12, Y*X^3*Y^-1*X^-4*Y^-2*X*Y^2, Y^2*X^2*Y^-1*X^3*Y^2*X^-3*Y ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X^4*Y^-4, Y*X^-1*Y*X*Y^-2*X^2*Y^-1*X*Y^3*X^-1 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-5)^2, Y^12, Y*X*Y^-2*X*Y^-1*X^2*Y^-3*X^2*Y, Y*X^-1*Y*X*Y^-2*X^2*Y^-1*X*Y^3*X^-1 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-5)^2, Y^12, Y*X*Y^-2*X*Y^-1*X^2*Y^-2*X*Y*X^-1*Y, Y*X^-1*Y*X*Y^-2*X^2*Y^-1*X*Y^3*X^-1 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, X^3*Y^-1*X^3*Y^5, (X*Y^-2)^4, Y*X*Y^-2*X*Y^-1*X^2*Y^3*X^-2*Y ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-5)^2, Y^12, Y*X*Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y, Y*X^2*Y^-3*X^2*Y^-1*X*Y^-2*X*Y ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, X^-1*Y^2*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, (X*Y^-2)^4, Y^12, X*Y^-4*X^3*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-5)^2, Y^12, Y*X*Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y, Y*X^-1*Y*X*Y^-2*X^2*Y^-1*X*Y^-2*X*Y ] Chiral map of genus 225 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X^4*Y^-4, Y*X*Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y, (X*Y^-5)^2, Y^12, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-2*X*Y^-1*X^3*Y^2*X^-2*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y^12 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y, Y^12, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^5*X^3*Y^5*X^-1 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3, Y^12 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-2*X*Y^-1*X)^2, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1, Y^12 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^12 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, X^-2*Y^2*X^3*Y^-1*X*Y^3 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-5)^2, Y^12, Y^-2*X^2*Y^-1*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^3, (X*Y^-2*X*Y^-1*X)^2, X^-1*Y*X^-3*Y*X^3*Y*X^-3*Y ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-5)^2, Y^12, Y^-1*X*Y^-2*X*Y^-2*X*Y^3*X^-1*Y^-2 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-2*X*Y^-1*X)^2, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1, X^-1*Y*X^-3*Y*X^3*Y*X^-3*Y, Y^12, X*Y^-1*X^2*Y^-1*X^3*Y^3*X^-1*Y^-1*X ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X^4*Y^-4, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y, (X*Y^-1)^8 ] Chiral map of genus 225 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y, (X*Y^-1*X*Y^-2*X)^2, Y^2*X^3*Y^-1*X^-1*Y*X^-1*Y^-1*X^3*Y ] Chiral map of genus 225 and type {8,12}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-2*X^4*Y^-4, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y, X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 257 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^5*X^3*Y^5*X^-1, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 257 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 257 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-5)^2, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^-5*X^4*Y^-7 ] Chiral map of genus 257 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-2*X*Y^-1*X^3*Y^2*X^-2*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y^2*X*Y^-3*X^-1*Y*X^3*Y^-3*X*Y^3 ] Chiral map of genus 257 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-2*X*Y^-1*X^3*Y^2*X^-2*Y^-1, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 257 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, (X*Y^-1*X*Y^-2*X)^2, Y^2*X*Y^-3*X^-1*Y^2*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 257 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-2)^4, Y^5*X^3*Y^5*X^-1, Y*X*Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-2*X^2*Y^-1*X^2*Y*X^-1*Y^-2*X, X^-1*Y*X^2*Y^-1*X^2*Y^-2*X*Y^-2, X*Y^-6*X^2*Y^-2*X*Y^4 ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X*Y^-6*X^2*Y^-2*X*Y^4 ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-2)^4, Y*X*Y^-1*X^-1*Y*X^3*Y^4*X^-1*Y, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-2*X*Y^-1*X^3*Y^2*X^-2*Y^-1, Y^24 ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, (X*Y^-2)^4, Y^5*X^3*Y^5*X^-1, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, X^-2*Y^2*X^3*Y^-1*X*Y^-3, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, X^-1*Y*X^-3*Y*X^3*Y*X^-3*Y, Y*X*Y^-5*X*Y^6 ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y, (X*Y^-2)^4, (X*Y^-5)^2, Y^-5*X^4*Y^-7 ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3, (X*Y^-2*X*Y^-1*X)^2, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1, X^-1*Y*X^-3*Y*X^3*Y*X^-3*Y, Y^-1*X^-1*Y^4*X*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 257 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-5)^2, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X^2*Y^-2*X*Y*X^-1*Y, Y^-5*X^4*Y^-7 ] Chiral map of genus 257 and type {8,24}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X^-1*Y*X*Y^-2*X^2*Y^-2*X^-1*Y^5*X^-1*Y^-2 ] Chiral map of genus 273 and type {8,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^-1*X*Y^-1*X*Y^-2*X^2*Y^2*X^-1*Y^-1*X*Y^-1, X^-1*Y^3*X*Y^-2*X^2*Y^-7 ] Chiral map of genus 273 and type {8,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y^-3*X*Y^-1*X^3*Y^2*X^-1*Y^-1*X*Y^-1, X^-1*Y^3*X*Y^-2*X^2*Y^-7 ] Chiral map of genus 273 and type {8,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-2*X^2*Y^-1*X^2*Y*X^-1*Y^-2*X, X^-1*Y*X^2*Y^-1*X^2*Y^-2*X*Y^-2, Y*X*Y^-3*X^2*Y^4*X^-1, X*Y^-3*X^-3*Y^-1*X*Y*X^-3*Y^-1, Y^-1*X^-1*Y^3*X*Y^-1*X^-3*Y^5*X^-1*Y^-2 ] Chiral map of genus 273 and type {8,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X*Y^-1*X^-3*Y^2*X*Y^-1*X*Y^6 ] Chiral map of genus 273 and type {8,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^-1*X*Y^-1*X*Y^-2*X^2*Y^2*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^3*X*Y^-1*X*Y*X^-1*Y^-5 ] Chiral map of genus 285 and type {8,192}_192 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^24*X^-2*Y^4*X^-1*Y^-1*X*Y^19 ] Chiral map of genus 257 and type {12,12}_4 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, X^12, Y^-1*X*Y^-1*X^4*Y^-1*X*Y^-3, Y^-1*X*Y^-2*X^3*Y^-1*X^2*Y^-2 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^5*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-3*X^4*Y^-1*X*Y^-1*X*Y^-1, (X*Y^-1*X)^4 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-2*X*Y^-1*X^3*Y^-2*X^2*Y^-1, (X*Y^-1*X)^4 ] Chiral map of genus 257 and type {12,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y*X^2*Y^-1*X^3*Y^-2*X*Y^2, Y^-1*X^-2*Y*X^3*Y^2*X^-1*Y^-2, (X*Y^-1*X)^4 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y^-1*X*Y^-2*X^3*Y^-1*X^2*Y^-2, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y^4*X^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^-1*Y^3*X^3*Y^-1*X^2*Y^2, X^-2*Y*X^5*Y^-1*X*Y^2*X^-2 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, Y*X^2*Y^-1*X^3*Y^3*X^-1*Y, Y^-1*X^-2*Y*X^3*Y^2*X^-1*Y^-2 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y^4*X^-1, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-1)^6 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y^-1*X^2*Y^-1*X^3*Y^-2*X*Y^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^5*Y*X^-4*Y ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y^4*X^-1, Y^-1*X^2*Y^-1*X^3*Y^-2*X*Y^-2, Y^-1*X^-2*Y*X^3*Y^2*X^-1*Y^-2 ] Chiral map of genus 257 and type {12,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^-1*Y^2*X^3*Y^-1*X*Y^-1*X*Y^-1, (X*Y^-1*X)^4, Y^-3*X*Y^-1*X^2*Y^-4*X ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X*Y^-1*X^4*Y^-4*X, X^2*Y^-2*X^3*Y^-1*X*Y^3, Y^2*X^-1*Y*X^3*Y^2*X^-2*Y ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, (X*Y^-1*X)^4, X^-1*Y*X^-1*Y*X^4*Y^-1*X^2*Y^-3 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y^-1*X^2*Y^-1*X^3*Y^-2*X*Y^-2, X^-2*Y^2*X^4*Y^2*X^-2*Y^2 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^-1*X^2*Y^2, (X*Y^-1)^6 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X^2*Y^-1*X^3*Y^-2*X*Y^2, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, Y^12, Y^-1*X^-1*Y*X^5*Y*X^-1*Y^-4, X^-2*Y^2*X^4*Y*X^-2*Y^2*X^-1 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, X^2*Y^-1*X^4*Y^2*X^-1*Y^-2, Y^2*X^-1*Y*X^3*Y^4*X^-1 ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-2*X*Y^-1*X, (X^3*Y^-1)^3, X^2*Y^-1*X*Y^-1*X^2*Y^-5, Y*X^-2*Y*X^4*Y*X^-1*Y^-1*X^2*Y ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, X^2*Y^-1*X^4*Y^-3*X*Y^-1, Y^-4*X^3*Y^-1*X*Y^-2*X ] Chiral map of genus 257 and type {12,12}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-3*X*Y^-1)^2, Y^-1*X*Y^-2*X^4*Y*X^-1*Y*X^-1*Y^-1*X, Y*X^2*Y^-2*X^3*Y^2*X^-2*Y^2 ] Chiral map of genus 257 and type {12,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-4*X, Y*X^-2*Y*X^4*Y*X^-2*Y*X^-2 ] Chiral map of genus 257 and type {12,12}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^12, Y^-1*X^6*Y^-5, X*Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^2*X^-2*Y^-1 ] Chiral map of genus 257 and type {12,12}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-4*X, Y^-2*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 257 and type {12,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y^-1 ] Chiral map of genus 257 and type {12,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-3*X^2)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, (Y^-1*X^2*Y^-1)^3, X*Y^-4*X^2*Y^-1*X*Y^-3 ] Chiral map of genus 257 and type {12,12}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-3*X^4*Y^-1*X*Y^-1*X*Y^-1, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X*Y^-1*X^2*Y^-1*X^2*Y^-2*X*Y^-2 ] Chiral map of genus 257 and type {12,12}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^12, X*Y^-1*X*Y^-1*X^3*Y^-3*X*Y^-1 ] Chiral map of genus 257 and type {12,12}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X*Y^-2*X^3*Y^-2*X*Y*X^-1, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 257 and type {12,12}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y*X^2*Y^-1*X^3*Y^-1*X^2*Y*X^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, Y^-1*X^2*Y^-2*X^3*Y^2*X^-2*Y^-2 ] Chiral map of genus 273 and type {12,16}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1, Y^-2*X^6*Y^-6, Y*X^-2*Y*X^4*Y*X^-2*Y*X^-2 ] Chiral map of genus 273 and type {12,16}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-3*X^2, (Y^-1*X^2*Y^-1)^3, X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1, X^2*Y^-1*X^5*Y*X^-3*Y^2 ] Chiral map of genus 273 and type {12,16}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-1*X)^4, X*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1, Y^-2*X^6*Y^-6 ] Chiral map of genus 273 and type {12,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-2*X^6*Y^-6, X^2*Y^-1*X^2*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y^-1 ] Chiral map of genus 273 and type {12,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, X^12, (X*Y^-1*X^4)^2, X^-2*Y^2*X^3*Y^-1*X*Y^-3, Y^-2*X^6*Y^-6 ] Chiral map of genus 273 and type {12,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, X^-1*Y*X^5*Y*X^-1*Y*X^-1*Y, Y^2*X^-1*Y*X^3*Y^-2*X^2*Y, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 273 and type {12,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-2*X^6*Y^-6, X*Y^-1*X*Y^-2*X^4*Y*X^-2*Y^-1*X*Y^-1*X ] Chiral map of genus 289 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-3*X^4*Y^-1*X*Y^-1*X*Y^-1, Y^-2*X*Y^-1*X^3*Y^-2*X^2*Y^-1 ] Chiral map of genus 289 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y^-2*X^-1*Y*X^4*Y^4*X^-1*Y^-1 ] Chiral map of genus 289 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-2*X*Y^-1*X^3*Y^-2*X^2*Y^-1 ] Chiral map of genus 289 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, Y^-1*X*Y^-1*X^4*Y^-4*X, (X*Y^-3*X^2)^2, (X*Y^-2)^4 ] Chiral map of genus 289 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-1*X*Y^-1*X^3*Y^2*X^-1*Y^-2 ] Chiral map of genus 289 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-2*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-1*X*Y^-2*X)^2 ] Chiral map of genus 289 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y*X*Y^-2*X^3*Y^-2*X*Y*X^-1, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y^-2*X^-1*Y*X^4*Y^4*X^-1*Y^-1 ] Chiral map of genus 289 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y*X^2*Y^-1*X^3*Y^-2*X*Y^2, Y^-1*X^-2*Y*X^3*Y^2*X^-1*Y^-2, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 289 and type {12,24}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-2*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-1*X)^4 ] Chiral map of genus 289 and type {12,24}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X*Y^-3*X^-2*Y*X^-1*Y*X^-1*Y, X^12, (X*Y^-1*X^4)^2, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y^-2*X ] Chiral map of genus 289 and type {12,24}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y*X*Y^-2*X^3*Y^3*X^-2, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-1*X^-4*Y^3*X^-1*Y^-1*X, Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y^-2*X ] Chiral map of genus 305 and type {12,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, X^-1*Y^2*X*Y^-1*X^2*Y^-5 ] Chiral map of genus 305 and type {12,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y*X*Y^-2*X^3*Y^-2*X*Y*X^-1, (X*Y^-2*X*Y^-1*X)^2, X*Y^-4*X^2*Y^-1*X*Y^3 ] Chiral map of genus 305 and type {16,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, X^16, Y^-3*X^6*Y^3*X^-1*Y^-1*X*Y^-1, X*Y^-6*X^2*Y^-2*X*Y^4 ] Chiral map of genus 305 and type {16,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^2*Y^-1*X^2*Y*X^-1*Y^-2*X, Y^-3*X*Y^-1*X^3*Y^2*X^-1*Y^-1*X*Y^-1, X*Y^-6*X^2*Y^-2*X*Y^4 ] Chiral map of genus 305 and type {16,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X*Y^-2*X^4*Y*X^-1*Y^-1*X^2, Y*X*Y^-3*X^2*Y^4*X^-1, Y*X^7*Y^3*X^-1*Y^2, Y^6*X*Y^-1*X^3*Y*X^-1*Y^-3*X*Y ] Chiral map of genus 305 and type {16,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X*Y^-2*X^4*Y*X^-1*Y^-1*X^2, X*Y^-1*X^6*Y*X^-2*Y^-1*X*Y^-1, Y^-1*X^-1*Y*X*Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-6 ] Chiral map of genus 305 and type {16,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y*X^-2*Y^-1, Y^24 ] Chiral map of genus 321 and type {16,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X*Y^-2*X^4*Y*X^-1*Y^-1*X^2, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^-1*Y^3*X*Y^-2*X^2*Y^-7 ] Chiral map of genus 321 and type {16,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1)^4, X*Y^-2*X^4*Y*X^-1*Y^-1*X^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y^3*X*Y^-2*X^2*Y^-7 ] Chiral map of genus 321 and type {16,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, X^16, X*Y^-2*X^6*Y^-2*X*Y^-4, Y^-2*X^-1*Y*X*Y^-2*X^2*Y^-7 ] Chiral map of genus 321 and type {16,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y^2*X^-1*Y^2*X^2*Y^2*X^-1*Y^2, Y^-6*X^3*Y^5*X^-1*Y^-1 ] Chiral map of genus 321 and type {16,48}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, X*Y^-2*X^2*Y^-2*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1, X^-1*Y*X*Y^-2*X^2*Y^-2*X^-1*Y*X^-1*Y^-6 ] Chiral map of genus 321 and type {16,48}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, Y*X^2*Y^-2*X^3*Y*X^-1*Y^2*X^-2, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-1*Y^-1*X*Y*X^-1, Y^-1*X*Y^-1*X*Y^-2*X^2*Y^2*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y^3*X*Y^-1*X*Y*X^-1*Y^-5 ] Chiral map of genus 321 and type {16,48}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y*X^-2*Y^-1, Y^12*X*Y^-1*X*Y^2*X^-3*Y^-1*X*Y^8 ] Chiral map of genus 329 and type {16,96}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-1*X^4*Y^2*X^-3, X^16, X^2*Y^-1*X^6*Y^-1*X*Y^-2*X^3, Y^-2*X^-1*Y^3*X^6*Y^5*X^-1*Y^-2 ] Chiral map of genus 329 and type {16,96}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X^16, Y^12*X^2*Y*X^-1*Y^-3*X*Y^8 ] Chiral map of genus 329 and type {16,96}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X^16, Y^12*X^2*Y*X^-2*Y^11 ] Chiral map of genus 333 and type {16,192}_192 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^24*X^2*Y*X^-2*Y^23 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^-1*Y*X^-1*Y^4*X^-5*Y*X^-4*Y^2*X^-2 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y*X^-2*Y*X^-3*Y*X^-1*Y^2*X^-9*Y^3 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-4*X, X^2*Y^-2*X^3*Y^-1*X*Y^-3 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-1*Y*X^-1*Y*X^3*Y^-2*X*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y*X^-5, X^-1*Y*X^-3*Y^2*X^-14*Y^3 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^2*Y^-2*X^3*Y^-1*X*Y^-3, (X*Y^-1)^6, Y*X^7*Y*X^-5 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-4*X, (X*Y^-1*X*Y^-2*X)^2, X*Y^-1*X^-1*Y*X^4*Y^3*X^-2*Y^-1 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X*Y^-3*X^3*Y^-1*X*Y^-1*X*Y^-1, (Y^-1*X^2*Y^-1)^3, Y*X^7*Y*X^-5 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-5, X^2*Y^-1*X^4*Y^-2*X*Y^-1*X, Y^-2*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, Y*X^3*Y^-1*X^3*Y*X^-2*Y*X^-2, Y^-3*X^18*Y^-3 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X*Y^-2*X^3*Y^3*X^-2, X^-1*Y*X^-3*Y*X^-8*Y*X^-4*Y^2*X^-2*Y ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-2, Y^-1*X^6*Y^-5 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y*X^-1*Y, (X*Y^-1*X*Y^-1*X^2)^2, Y^-1*X^-1*Y^2*X^3*Y*X^-2*Y^-2, Y^-3*X^5*Y*X^-3*Y^-1*X ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-5, X^2*Y^-1*X^4*Y^2*X^-1*Y^-2 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^2*Y^-1*X^4*Y^2*X^-1*Y^-2 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^2*Y^-1*X^4*Y^2*X^-1*Y^-2, Y^2*X^-1*Y*X^3*Y^4*X^-1, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, (Y^-1*X^2*Y^-1)^3, Y*X*Y^-1*X^5*Y*X^-4*Y ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^6*Y^5, X^2*Y^-1*X^4*Y^-3*X*Y^-1 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-2*X*Y^-1*X, X^2*Y^-1*X^4*Y^-3*X*Y^-1, Y^3*X^4*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y^2, Y*X^6*Y^5, X^-3*Y^2*X^-2*Y*X^-2*Y*X^-4*Y^2*X^-4*Y^3 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y*X^2*Y^-1*X^3*Y^3*X^-1*Y, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y^2*X^-1*Y*X^-1*Y, X^-4*Y*X^-1*Y*X^-2*Y^3*X^-5*Y*X^-1*Y^2*X^-1*Y^2 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^2*Y^-1*X^4*Y^-3*X*Y^-1, Y^-4*X^3*Y^-1*X*Y^-2*X, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 321 and type {24,24}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-2*X*Y^-1*X, (X^3*Y^-1)^3, X^2*Y^-1*X*Y^-1*X^2*Y^-5, (Y^-1*X^2*Y^-1)^3, X^-2*Y*X^5*Y^2*X^-1*Y^-1*X*Y ] Chiral map of genus 321 and type {24,24}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, Y^2*X^-2*Y*X^-5*Y*X^-3*Y*X^-1*Y*X^-1*Y^6 ] Chiral map of genus 321 and type {24,24}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-5, X^2*Y^-1*X^4*Y^-2*X*Y^-1*X, (X*Y^-1*X)^4 ] Chiral map of genus 321 and type {24,24}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, (X*Y^-1*X)^4 ] Chiral map of genus 337 and type {24,48}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X*Y^-2*X^2*Y^-1*X^9*Y^-1*X*Y^-1*X^3*Y^-2 ] Chiral map of genus 337 and type {24,48}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^-1*Y^2*X^-13*Y^5*X^-2 ] Chiral map of genus 337 and type {24,48}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^2*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 337 and type {24,48}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^10*X^-4*Y^2*X^-1*Y^2*X^-1*Y*X^-2*Y ] Chiral map of genus 337 and type {24,48}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-3*X*Y^4, Y*X^-5*Y^2*X^-1*Y*X^-4*Y*X^-2*Y*X^-1*Y^2*X^-3 ] Chiral map of genus 341 and type {24,64}_192 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y*X*Y^-1*X^4*Y^2*X^-3, X^-1*Y*X^2*Y^4*X*Y^-2*X^8*Y^-9 ] Chiral map of genus 349 and type {24,192}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-1*X*Y^2*X*Y^-3*X^-1*Y*X*Y^-1*X^-1*Y^5*X^-1*Y^-3, X^-6*Y*X^-8*Y*X^-3*Y^3*X^-1*Y ] Chiral map of genus 345 and type {32,48}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-1*X^4*Y^2*X^-3, (X*Y^-1*X^6)^2, X*Y^-1*X^-2*Y*X^6*Y*X^-6*Y^-1*X, Y^-2*X^-1*Y^3*X^6*Y^5*X^-1*Y^-2 ] Chiral map of genus 345 and type {32,48}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X^11*Y^-1*X^3*Y^-1, Y^12*X^2*Y*X^-1*Y^-3*X*Y^8 ] Chiral map of genus 345 and type {32,48}_96 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-1*X^4*Y^2*X^-3, (X*Y^-1*X^6)^2, X*Y^-1*X^-2*Y*X^6*Y*X^-6*Y^-1*X, X*Y^-1*X^-1*Y^3*X^5*Y^-6*X*Y^2 ] Chiral map of genus 353 and type {32,96}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, X^-1*Y*X^12*Y*X^-2*Y^-2*X^-1, Y^12*X^-5*Y^-1*X^2*Y^-2*X*Y^9 ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-3*X^4*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y^-3*X^4*Y^-1*X*Y^-1*X*Y^-1, Y^-2*X*Y^-1*X^3*Y^-2*X^2*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-2*Y^4*X^-3*Y^3*X^-3*Y*X^-1*Y^2*X^-1*Y^3 ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y^3*X^-2*Y^3*X^-9*Y^6 ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-1*Y*X^-1*Y*X^3*Y^-2*X*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y*X^-5, X^-1*Y*X^-3*Y^2*X^-11*Y^3*X^-3 ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, X^-4*Y^15*X^-2*Y^2*X^-1*Y^2*X^-2*Y^2*X^-8*Y*X^-1*Y*X^-3*Y^3*X^-1 ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, Y*X^3*Y^-1*X^3*Y*X^-2*Y*X^-2, X^-2*Y^5*X^-10*Y^2*X^-2*Y^3 ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X*Y^-2*X^3*Y^3*X^-2, Y^8*X^-7*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1 ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X^2*Y^-1*X^4*Y^-3*X*Y^-1, Y^-4*X^3*Y^-1*X*Y^-2*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 353 and type {48,48}_8 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y^2, Y*X^6*Y^5, X^-1*Y^2*X^-4*Y^2*X^-5*Y*X^-2*Y^3*X^-1*Y^2*X^-1 ] Chiral map of genus 353 and type {48,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, X*Y^-1*X^5*Y^-2*X*Y^-1*X, Y^-1*X*Y^-2*X^3*Y^-1*X*Y^-1*X*Y^-1, X^-1*Y^3*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1 ] Chiral map of genus 353 and type {48,48}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, X^-3*Y*X^-4*Y*X^-5*Y*X^-1*Y*X^-1*Y^6 ] Chiral map of genus 357 and type {48,64}_192 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, X^-4*Y^-2*X^-1*Y*X*Y^-3*X^-1*Y*X*Y^-1*X^-2*Y^-1*X^2*Y^-7 ] Chiral map of genus 361 and type {48,96}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-2*Y^2, X^-2*Y^22*X^-2*Y*X^-2*Y^3*X^-9*Y*X^-3*Y^3 ] Chiral map of genus 361 and type {48,96}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-1*X^-1*Y*X*Y^-6*X^-1*Y^6*X^-1*Y^-2, X^2*Y^-3*X^3*Y^-1*X^7*Y^-3*X^2*Y^-3 ] Chiral map of genus 361 and type {48,96}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, X^-1*Y^9*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y*X^-5*Y*X^-8*Y*X^-11*Y*X^-2 ] Chiral map of genus 365 and type {48,192}_64 not isomorphic to its dual or mirror-dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-1*X*Y^2*X*Y^-3*X^-1*Y*X*Y^-1*X^-1*Y^5*X^-1*Y^-3, Y*X^-1*Y^4*X^-2*Y*X^-6*Y*X^-3*Y^5 ] Chiral map of genus 369 and type {96,96}_16 isomorphic to its dual Automorphism group of order 1536 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-1*X^4*Y^2*X^-3, Y^-2*X^7*Y*X^-1*Y^-5 ] .......................... Chiral maps with 770 edges .......................... Chiral map of genus 298 and type {10,70}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 1540 with defining relations: [ (X*Y)^2, X^10, Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-2, Y^2*X*Y^-4*X^-1*Y^3*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 298 and type {10,70}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 1540 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, Y^-2*X^-1*Y*X*Y^-4*X^-1*Y^5*X^-1*Y^-2 ] Chiral map of genus 298 and type {10,70}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 1540 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-2*X^-1*Y^3*X^-2*Y^2*X^-1*Y^-7 ] Chiral map of genus 298 and type {10,70}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 1540 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1, Y^-3*X^-1*Y^2*X*Y^-1*X^3*Y*X^-1*Y^-7 ] Chiral map of genus 364 and type {70,70}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1540 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^-49*Y*X^-4*Y^2*X^-10*Y*X^-1*Y^2 ] Chiral map of genus 364 and type {70,70}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1540 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X*Y^-1*X^43*Y^-2*X*Y^-1*X*Y^-2*X^11*Y^-2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 381 and type {308,308}_10 isomorphic to its dual Automorphism group of order 1540 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^116*Y^-2*X*Y^-10*X^12*Y^-3*X*Y^-8*X ] .......................... Chiral maps with 772 edges .......................... Chiral map of genus 1 and type {4,4}_386 isomorphic to its dual Automorphism group of order 1544 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 194 and type {8,8}_386 not isomorphic to its dual or mirror-dual Automorphism group of order 1544 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^2*Y^-4*X^-3*Y*X^-3*Y*X^-1*Y ] .......................... Chiral maps with 774 edges .......................... Chiral map of genus 130 and type {6,6}_258 not isomorphic to its dual or mirror-dual Automorphism group of order 1548 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, X^-1*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^-2*X^-1*Y*X^-1 ] Chiral map of genus 130 and type {6,6}_258 not isomorphic to its dual or mirror-dual Automorphism group of order 1548 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X^2*Y^-1*X*Y^-1*X^2*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y^-2*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 302 and type {18,18}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1548 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^-1*Y*X^-7*Y*X^-1*Y*X^-1*Y*X^-1*Y, X*Y*X^-1*Y^-2*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y*X^-1*Y^-2*X^2*Y^-1*X ] .......................... Chiral maps with 775 edges .......................... Chiral map of genus 156 and type {5,10}_310 not isomorphic to its dual or mirror-dual Automorphism group of order 1550 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, Y^-2*X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y^5*X ] Chiral map of genus 156 and type {5,10}_310 not isomorphic to its dual or mirror-dual Automorphism group of order 1550 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, Y^-1*X^-2*Y^2*X*Y^-1*X^2*Y*X^-1*Y^5*X ] Chiral map of genus 342 and type {25,50}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1550 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y^2*X^-1*Y*X^-4*Y^4*X^-12*Y ] Chiral map of genus 342 and type {25,50}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1550 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y*X^-4, X^-3*Y^3*X^-1*Y^2*X^-2*Y^2*X^-7*Y^5 ] .......................... Chiral maps with 776 edges .......................... Chiral map of genus 1 and type {4,4}_388 isomorphic to its dual Automorphism group of order 1552 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1 ] Chiral map of genus 195 and type {8,8}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 1552 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X^-1*Y*X*Y^-1*X^-1*Y*X^-5*Y*X^-2*Y^-1*X^2*Y ] Chiral map of genus 195 and type {8,8}_194 isomorphic to its dual Automorphism group of order 1552 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^2*Y^2*X*Y^-1*X ] Chiral map of genus 195 and type {8,8}_388 isomorphic to its dual Automorphism group of order 1552 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-2*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X ] Chiral map of genus 292 and type {16,16}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 1552 with defining relations: [ (X*Y)^2, X*Y^-3*X^3*Y^-2*X*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 292 and type {16,16}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 1552 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^-5 ] .......................... Chiral maps with 777 edges .......................... Chiral map of genus 1 and type {3,6}_518 not isomorphic to its dual or mirror-dual Automorphism group of order 1554 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-3*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 1 and type {3,6}_518 not isomorphic to its dual or mirror-dual Automorphism group of order 1554 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X*Y^-2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y ] Chiral map of genus 223 and type {6,21}_518 not isomorphic to its dual or mirror-dual Automorphism group of order 1554 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X*Y^-1*X^-1*Y*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^-2*X^-1 ] Chiral map of genus 253 and type {6,111}_518 not isomorphic to its dual or mirror-dual Automorphism group of order 1554 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-19*X^3*Y*X^-2*Y^5*X*Y^-12 ] Chiral map of genus 334 and type {21,42}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1554 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^17*Y^-1*X^2*Y^-1, Y*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^-1*X*Y ] Chiral map of genus 379 and type {111,222}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1554 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^-3*X^73*Y^-1*X*Y^-2*X^2*Y^-1*X^16*Y^-1*X^2*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 778 edges .......................... Chiral map of genus 1 and type {4,4}_778 isomorphic to its dual Automorphism group of order 1556 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 780 edges .......................... Chiral map of genus 131 and type {4,12}_390 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1 ] Chiral map of genus 131 and type {4,12}_390 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1 ] Chiral map of genus 183 and type {4,60}_390 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^15*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y*X^-1*Y^-1*X*Y^7 ] Chiral map of genus 191 and type {4,156}_390 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^39*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^36 ] Chiral map of genus 209 and type {6,15}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, X^2*Y^2*X^-2*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y*X^-1*Y*X^-2*Y^-2*X^-1*Y ] Chiral map of genus 248 and type {6,60}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^7*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1*X^2*Y^-3*X*Y^4 ] Chiral map of genus 248 and type {6,60}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2, Y^10*X*Y^-1*X^2*Y^-1*X*Y^8 ] Chiral map of genus 261 and type {12,12}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, (X*Y^-2*X*Y^-1*X)^2, X*Y^-1*X*Y^-2*X^2*Y^-5, X^-3*Y*X^4*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 261 and type {12,12}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1 ] Chiral map of genus 261 and type {12,12}_130 isomorphic to its dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X*Y^-1*X ] Chiral map of genus 261 and type {12,12}_130 isomorphic to its dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 261 and type {12,12}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, X^12, (X*Y^-2*X^3)^2 ] Chiral map of genus 261 and type {12,12}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^12, X*Y^-1*X^5*Y^-1*X^2*Y^-2 ] Chiral map of genus 287 and type {12,20}_390 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X^-1*Y*X*Y^-2*X^2*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 300 and type {12,30}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X*Y^5 ] Chiral map of genus 300 and type {12,30}_260 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^-1*Y^2*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^2, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 311 and type {12,52}_390 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^13*X^3*Y^-2*X*Y*X^-1*Y^-5*X*Y^5 ] Chiral map of genus 313 and type {12,60}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^2*X*Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 313 and type {12,60}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-4*X*Y^2 ] Chiral map of genus 313 and type {12,60}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^-1*Y^2*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^2, Y^-2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^-2 ] Chiral map of genus 313 and type {12,60}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^12, X^2*Y^-1*X^4*Y^-1*X*Y^-2*X, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^-2 ] Chiral map of genus 313 and type {12,60}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-1*X^2*Y^-1*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-3*X*Y^-1*X^2*Y^-3*X*Y^-1, Y^3*X*Y^-2*X^2*Y^-1*X*Y^4 ] Chiral map of genus 321 and type {12,156}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^13*X*Y^-1*X*Y*X^-1*Y^-5*X*Y^6 ] Chiral map of genus 313 and type {15,30}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-3*X^-1*Y*X^2*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 339 and type {20,60}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y, Y^-2*X^13*Y^-3*X*Y^-1 ] Chiral map of genus 352 and type {30,60}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^15*Y^-1*X^5 ] Chiral map of genus 352 and type {30,60}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^7*Y*X^-5, Y^-1*X^-1*Y*X*Y^-2*X^2*Y^2*X^-1*Y*X^-1*Y^-1, Y^-1*X*Y^-1*X^2*Y^-1*X^3*Y^-1*X^10*Y^-1*X^3*Y^-5*X ] Chiral map of genus 371 and type {52,156}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-4*Y*X^-1*Y^25*X^-1*Y^5*X^-14*Y ] Chiral map of genus 365 and type {60,60}_26 isomorphic to its dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^22*Y^-2*X^3*Y^-1*X^2*Y^-6*X^15*Y^-9 ] Chiral map of genus 365 and type {60,60}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, Y^-3*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-4*X*Y^-5*X^13*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-4 ] Chiral map of genus 365 and type {60,60}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^4*X^-10*Y^3*X^-1 ] Chiral map of genus 381 and type {156,156}_10 isomorphic to its dual Automorphism group of order 1560 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-1*X^116*Y^-2*X*Y^-10*X^12*Y^-3*X*Y^-7*X*Y^-1 ] .......................... Chiral maps with 782 edges .......................... Chiral map of genus 375 and type {92,92}_34 isomorphic to its dual Automorphism group of order 1564 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X^-1*Y*X^-1*Y*X^-4*Y^8*X^-15*Y^7*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1 ] .......................... Chiral maps with 783 edges .......................... Chiral map of genus 259 and type {6,261}_522 not isomorphic to its dual or mirror-dual Automorphism group of order 1566 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-44*X^3*Y*X^-1*Y^-42 ] Chiral map of genus 385 and type {174,261}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1566 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-4*Y*X^-1*Y^2*X^-13*Y^2*X^-1*Y^2 ] .......................... Chiral maps with 784 edges .......................... Chiral map of genus 148 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1568 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-2)^4, Y*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y^6 ] Chiral map of genus 148 and type {4,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1568 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y^4*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1, X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y^-3*X*Y*X^-1*Y^-2 ] Chiral map of genus 281 and type {14,14}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1568 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^14, (X*Y^-1*X^5)^2 ] Chiral map of genus 295 and type {16,16}_14 isomorphic to its dual Automorphism group of order 1568 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^16, X*Y^-1*X^7*Y^-2*X^4*Y^-1 ] Chiral map of genus 295 and type {16,16}_14 isomorphic to its dual Automorphism group of order 1568 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^16 ] Chiral map of genus 377 and type {98,98}_4 isomorphic to its mirror-dual Automorphism group of order 1568 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^76*X^-2*Y*X^-12*Y^3 ] Chiral map of genus 385 and type {196,196}_4 isomorphic to its mirror-dual Automorphism group of order 1568 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^76*X^-2*Y*X^-11*Y*X^-1*Y*X^-1 ] Chiral map of genus 385 and type {196,196}_4 isomorphic to its mirror-dual Automorphism group of order 1568 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^44*X^-14*Y^133*X^-1*Y*X^-1 ] .......................... Chiral maps with 788 edges .......................... Chiral map of genus 1 and type {4,4}_394 isomorphic to its dual Automorphism group of order 1576 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 790 edges .......................... Chiral map of genus 391 and type {316,316}_10 isomorphic to its dual Automorphism group of order 1580 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-1*X^120*Y^-3*X*Y^-7*X^15*Y^-10 ] .......................... Chiral maps with 791 edges .......................... Chiral map of genus 227 and type {7,14}_226 not isomorphic to its dual or mirror-dual Automorphism group of order 1582 with defining relations: [ (X*Y)^2, X^7, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X^-1*Y*X^2*Y^-3*X*Y ] Chiral map of genus 227 and type {7,14}_226 not isomorphic to its dual or mirror-dual Automorphism group of order 1582 with defining relations: [ (X*Y)^2, X^7, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-2*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 227 and type {7,14}_226 not isomorphic to its dual or mirror-dual Automorphism group of order 1582 with defining relations: [ (X*Y)^2, X^7, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-2*X^-1*Y*X^-3*Y^4*X^-1*Y^-1 ] .......................... Chiral maps with 792 edges .......................... Chiral map of genus 190 and type {4,88}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1584 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^22*X*Y^-1*X*Y*X^-1*Y^-3*X*Y^17 ] Chiral map of genus 280 and type {8,44}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1584 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^11*X^2*Y*X^-2*Y*X^-1*Y^-2*X*Y^7 ] Chiral map of genus 289 and type {8,88}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1584 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y^11*X*Y^-1*X*Y^4*X^-1*Y^-1*X*Y^5 ] Chiral map of genus 370 and type {44,88}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1584 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, Y^2*X^-3*Y*X^-1*Y^3*X^-7*Y^2*X^-1*Y^2 ] Chiral map of genus 379 and type {88,88}_6 isomorphic to its dual Automorphism group of order 1584 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^63*Y^-1*X*Y^-1*X*Y^-2*X^12*Y^-1*X^2*Y^-1*X*Y^-2 ] .......................... Chiral maps with 794 edges .......................... Chiral map of genus 1 and type {4,4}_794 isomorphic to its dual Automorphism group of order 1588 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 798 edges .......................... Chiral map of genus 134 and type {6,6}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y*X^2*Y^-1*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 134 and type {6,6}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X^2*Y*X^-2 ] Chiral map of genus 134 and type {6,6}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X^-2*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 134 and type {6,6}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y*X^-3*Y*X^-2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-2*Y*X*Y^-1*X^-1*Y*X^-1*Y*X ] Chiral map of genus 248 and type {6,42}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^5*X*Y^-1*X^-1*Y*X^-3*Y^-1*X*Y^5*X^-2*Y ] Chiral map of genus 248 and type {6,42}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^2*X^-1*Y*X^-1*Y^2*X^2*Y^-2*X*Y^2*X^-1*Y, Y^4*X*Y^-1*X^2*Y^-1*X*Y^8 ] Chiral map of genus 260 and type {6,114}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^19*X*Y^-1*X^2*Y^-1*X*Y^17 ] Chiral map of genus 260 and type {6,114}_266 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^19*X^2*Y*X^-2*Y^4*X^-1*Y^-4*X*Y^10 ] Chiral map of genus 362 and type {42,42}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y*X^-1, X^-1*Y^2*X^-2*Y^2*X^-2*Y*X^-1*Y^5*X^-1*Y*X^-13*Y^5*X^-1*Y^4*X^-1 ] Chiral map of genus 386 and type {114,114}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1596 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y*X^-2*Y^74*X^-1*Y*X^-2*Y*X^-1*Y^5*X^-1*Y*X^-10*Y*X^-2*Y^2*X^-4*Y^4*X^-1 ] .......................... Chiral maps with 800 edges .......................... Chiral map of genus 1 and type {4,4}_200 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 101 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-1)^4, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y, Y^-3*X^-2*Y^-4*X^-1*Y*X^-1*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 101 and type {4,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, Y^8, (Y^-1*X)^5, X^-1*Y^-4*X*Y^-1*X^-2*Y^4*X^2*Y, Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 101 and type {4,8}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X*Y^-1*X^-2*Y^4*X^2*Y, X*Y^-2*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^3, Y^-1*X*Y^-4*X^-1*Y*X^-1*Y^-1*X*Y^4*X^2*Y^-1 ] Chiral map of genus 101 and type {4,8}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 101 and type {4,8}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 151 and type {4,16}_400 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, X^-2*Y*X^-1*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 151 and type {4,16}_400 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X ] Chiral map of genus 161 and type {4,20}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, Y^20 ] Chiral map of genus 181 and type {4,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, Y^-1*X^-1*Y^2*X*Y^-6*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-6 ] Chiral map of genus 181 and type {4,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^40 ] Chiral map of genus 191 and type {4,80}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^80 ] Chiral map of genus 191 and type {4,80}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^20*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X*Y^14 ] Chiral map of genus 201 and type {8,8}_4 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, (X*Y^-1)^4, Y*X^-2*Y^2*X^4*Y^4*X^-2*Y ] Chiral map of genus 201 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, Y^-1*X^-1*Y^2*X^-4*Y^-1*X^3*Y^-2, X*Y^-4*X^-1*Y*X^-1*Y^-2*X*Y^-3 ] Chiral map of genus 201 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-1)^4, Y^-3*X*Y^-2*X^-1*Y*X^-1*Y^4*X, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-2*Y ] Chiral map of genus 201 and type {8,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-1)^4, Y^-3*X*Y^-1*X^-3*Y^2*X^-1*Y^4*X, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-2*Y ] Chiral map of genus 201 and type {8,8}_10 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-3*Y*X^2*Y^4*X^-1, (Y^-1*X)^5, X^-2*Y^-4*X^3*Y*X^-3*Y ] Chiral map of genus 201 and type {8,8}_20 isomorphic to its mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-1*X^-1*Y*X*Y^-1*X^4*Y^4*X^-2*Y^-1 ] Chiral map of genus 201 and type {8,8}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-3*X*Y^-2*X^-1*Y*X^-1*Y^4*X ] Chiral map of genus 201 and type {8,8}_50 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^-3*Y*X^2*Y^4*X^-1, (X*Y^-1*X)^4, X^-2*Y^-4*X^3*Y*X^-3*Y, X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-2*X^2*Y^2 ] Chiral map of genus 201 and type {8,8}_100 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 201 and type {8,8}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X ] Chiral map of genus 201 and type {8,8}_200 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X ] Chiral map of genus 201 and type {8,8}_200 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 201 and type {8,8}_200 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 251 and type {8,16}_400 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^-1*X*Y^2*X^2*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 251 and type {8,16}_400 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 261 and type {8,20}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, (X*Y^-1*X)^4, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2, Y^-1*X^-1*Y*X*Y^-1*X^-3*Y^-1*X^3*Y^-2 ] Chiral map of genus 261 and type {8,20}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^20 ] Chiral map of genus 261 and type {8,20}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^20 ] Chiral map of genus 281 and type {8,40}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^-1*X^-1*Y^3*X^2*Y*X^-1*Y^-3 ] Chiral map of genus 281 and type {8,40}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X*Y^-2*X^3*Y^-5 ] Chiral map of genus 281 and type {8,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^10*X^3*Y^-8*X*Y^2 ] Chiral map of genus 281 and type {8,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^9*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-1*X*Y^5 ] Chiral map of genus 281 and type {8,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^40 ] Chiral map of genus 281 and type {8,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^40 ] Chiral map of genus 281 and type {8,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^5*X*Y^-5*X^-2*Y^-2*X*Y^2*X^-1*Y^-1*X*Y^5 ] Chiral map of genus 281 and type {8,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^10*X^3*Y^-8*X*Y^2 ] Chiral map of genus 291 and type {8,80}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^20*X^3*Y^-8*X*Y^12 ] Chiral map of genus 291 and type {8,80}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^20*X^3*Y^-8*X*Y^12 ] Chiral map of genus 301 and type {16,16}_4 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, X^-3*Y*X^4*Y^-1*X^2*Y*X^-1*Y, X^16 ] Chiral map of genus 301 and type {16,16}_4 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, Y^-1*X^-2*Y*X^4*Y^-1*X^3*Y^-1*X ] Chiral map of genus 301 and type {16,16}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-1*X*Y*X^-1*Y^-1, X*Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-3, Y^-5*X^2*Y*X^-1*Y^-1*X*Y^-1, X^-3*Y*X^4*Y^-2*X*Y^3 ] Chiral map of genus 301 and type {16,16}_20 isomorphic to its mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y^-1*X^-2*Y*X^4*Y^-1*X^3*Y^-1*X ] Chiral map of genus 301 and type {16,16}_20 isomorphic to its mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, X^-3*Y*X^4*Y^-1*X^2*Y*X^-1*Y, X^16 ] Chiral map of genus 301 and type {16,16}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, (X*Y^-2*X)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, Y^-1*X^-2*Y*X^4*Y^-1*X^3*Y^-1*X ] Chiral map of genus 301 and type {16,16}_100 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y^-1*X*Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^2 ] Chiral map of genus 301 and type {16,16}_100 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 301 and type {16,16}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^-2*X^2*Y*X^-1*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 311 and type {16,20}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^16, Y^20 ] Chiral map of genus 311 and type {16,20}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, Y^20 ] Chiral map of genus 331 and type {16,40}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, Y^11*X^-1*Y^-2*X^2*Y^-3*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 331 and type {16,40}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^16, Y^10*X^5*Y^-4*X*Y^3*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 341 and type {16,80}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^10*X^-1*Y^-1*X*Y^3*X^-1*Y^-1*X*Y^5 ] Chiral map of genus 341 and type {16,80}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^10*X^-1*Y^-1*X*Y^3*X^-1*Y^-1*X*Y^5 ] Chiral map of genus 341 and type {16,80}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^10*X^3*Y^-4*X*Y^6 ] Chiral map of genus 341 and type {16,80}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^10*X^3*Y^-4*X*Y^6 ] Chiral map of genus 321 and type {20,20}_20 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, (Y^-1*X)^5, Y*X*Y^-2*X^3*Y*X^-2*Y^2, Y*X^-2*Y*X^3*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 321 and type {20,20}_40 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-4*X^15, X^-1*Y^-2*X^2*Y*X^-1*Y^2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X^2*Y*X^-1*Y ] Chiral map of genus 341 and type {20,40}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, (Y^-1*X)^5, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 341 and type {20,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X^20 ] Chiral map of genus 341 and type {20,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X^20 ] Chiral map of genus 351 and type {20,80}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^20, Y^7*X*Y^-7*X*Y^2 ] Chiral map of genus 351 and type {20,80}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-2*Y^2*X*Y^-1*X^2*Y^-2*X*Y^3, X^20 ] Chiral map of genus 351 and type {32,32}_10 isomorphic to its mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, X^-2*Y*X^-1*Y*X^-1*Y^3*X^-2*Y^2*X^-9*Y^2*X^-1*Y*X^-2*Y^4 ] Chiral map of genus 351 and type {32,32}_20 isomorphic to its mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, X^-3*Y*X^4*Y^-1*X^2*Y*X^-1*Y, Y^-1*X*Y^-1*X^6*Y^-1*X^3*Y^-3 ] Chiral map of genus 351 and type {32,32}_50 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y, X*Y^-9*X^15*Y^-5*X^2 ] Chiral map of genus 351 and type {32,32}_100 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 371 and type {32,160}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-2*X^2*Y^-1*X*Y^4, Y^-1*X^3*Y^-1*X*Y^-3*X*Y^-2*X^8*Y^-2*X^2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 371 and type {32,160}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^2*Y^-2*X^2*Y^-1*X^2*Y^-7 ] Chiral map of genus 361 and type {40,40}_10 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-1*X^3*Y^-3*X, Y*X^8*Y^7 ] Chiral map of genus 361 and type {40,40}_20 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, Y^2*X^-1*Y^2*X^-1*Y^6*X^-15*Y^7*X^-1*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 361 and type {40,40}_40 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X*Y^-1*X^10*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 361 and type {40,40}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y*X^-1*Y^10*X^-3*Y*X^-2*Y*X^-13*Y*X^-6 ] Chiral map of genus 361 and type {40,40}_40 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-2*X*Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 361 and type {40,40}_40 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X*Y^-1*X^10*Y^-2*X^2*Y^-2*X*Y^-1 ] Chiral map of genus 371 and type {40,80}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^12*Y^-8 ] Chiral map of genus 371 and type {40,80}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-2*Y^2*X*Y^-1*X^2*Y^-2*X*Y^3, X^12*Y^-8 ] Chiral map of genus 381 and type {80,80}_20 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X^-2*Y*X^-1*Y*X^-1*Y^6*X^-15*Y^7*X^-1*Y^5 ] Chiral map of genus 381 and type {80,80}_20 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-38*Y^3*X^-1*Y^2*X^-1*Y^4*X^-1*Y^3*X^-12*Y^7*X^-1*Y^2*X^-1*Y^2*X^-1 ] Chiral map of genus 381 and type {80,80}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-1*Y^8*X^-1*Y^4*X^-3*Y*X^-9*Y^2*X^-2*Y*X^-1*Y^3*X^-3 ] Chiral map of genus 391 and type {160,160}_10 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^124*Y^-3*X*Y^-7*X^15*Y^-8*X^2 ] Chiral map of genus 391 and type {160,160}_20 isomorphic to its dual Automorphism group of order 1600 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^39*X^-3*Y^2*X^-1*Y^4*X^-1*Y^3*X^-12*Y^7*X^-1*Y^2*X^-1*Y^3 ] .......................... Chiral maps with 802 edges .......................... Chiral map of genus 1 and type {4,4}_802 isomorphic to its dual Automorphism group of order 1604 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 804 edges .......................... Chiral map of genus 1 and type {3,6}_268 not isomorphic to its dual or mirror-dual Automorphism group of order 1608 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-3*X*Y^-2*X*Y^-1 ] Chiral map of genus 202 and type {6,12}_268 not isomorphic to its dual or mirror-dual Automorphism group of order 1608 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y^-1*X*Y*X^-1*Y^-2*X^-2*Y*X^-2*Y*X^-3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 202 and type {6,12}_268 not isomorphic to its dual or mirror-dual Automorphism group of order 1608 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y^-1*X*Y^3*X^-2*Y^-1 ] Chiral map of genus 269 and type {12,12}_134 not isomorphic to its dual or mirror-dual Automorphism group of order 1608 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y*X^-1*Y^-2*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X ] .......................... Chiral maps with 806 edges .......................... Chiral map of genus 391 and type {124,124}_26 isomorphic to its dual Automorphism group of order 1612 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^-1*Y^22*X^-1*Y*X^-2*Y*X^-1*Y^4*X^-3*Y*X^-12*Y*X^-1*Y^3*X^-1*Y*X^-1*Y^5 ] .......................... Chiral maps with 808 edges .......................... Chiral map of genus 1 and type {4,4}_404 isomorphic to its dual Automorphism group of order 1616 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 203 and type {8,8}_202 isomorphic to its dual Automorphism group of order 1616 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X ] Chiral map of genus 203 and type {8,8}_404 isomorphic to its dual Automorphism group of order 1616 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 810 edges .......................... Chiral map of genus 1 and type {4,4}_90 isomorphic to its dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 136 and type {4,12}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, X^4, (Y^-1*X)^5, Y^12, X*Y^-2*X^-1*Y*X^-1*Y*X^2*Y^2*X^-1*Y^-1*X*Y^2, Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^-1, X^-1*Y^2*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 262 and type {6,90}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^15*X^2*Y^4*X^-2*Y^11 ] Chiral map of genus 268 and type {6,270}_270 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^45*X^2*Y*X^-2*Y^44 ] Chiral map of genus 271 and type {12,12}_10 isomorphic to its dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^-1*X*Y^-1*X^3*Y^-3*X, X^12 ] Chiral map of genus 271 and type {12,12}_10 isomorphic to its dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, (Y^-1*X)^5, X^12, Y^-1*X^-1*Y*X^4*Y^-1*X*Y^-3, (X*Y^-2)^4, (X^-2*Y)^4, X^-1*Y*X^6*Y^-1*X^3*Y*X^-1 ] Chiral map of genus 271 and type {12,12}_30 isomorphic to its dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-1*X*Y^-3*X^2*Y^-3*X*Y^-1, X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^-2 ] Chiral map of genus 334 and type {18,30}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^30 ] Chiral map of genus 352 and type {18,90}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^18, Y^15*X^-2*Y*X^-1*Y^-7*X*Y^7 ] Chiral map of genus 352 and type {18,90}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^8*Y*X^-3*Y^2*X^-1, Y*X*Y^-2*X^5*Y^7, X^18 ] Chiral map of genus 325 and type {20,20}_6 isomorphic to its dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, X*Y^-1*X^4*Y^-4, (Y^-1*X)^5 ] Chiral map of genus 364 and type {30,54}_270 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, Y^-1*X^-1*Y*X^5*Y*X^-1*Y^-1*X^3, Y^-8*X^2*Y^-1*X*Y^7*X^-1*Y^-2 ] Chiral map of genus 370 and type {30,90}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, X^-2*Y*X^-2*Y^2*X^-2*Y*X^-1*Y^4*X^-10*Y*X^-3*Y ] Chiral map of genus 376 and type {30,270}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-2*X^-1*Y^5*X*Y^-1*X^-1*Y*X^-2*Y*X^-1*Y^-8, Y^-3*X*Y^-2*X^12*Y^-2*X^2*Y^-2*X*Y^-1*X^2*Y^-2 ] Chiral map of genus 361 and type {36,36}_30 isomorphic to its dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y^-2*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 361 and type {36,36}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^8*Y^-4, (X*Y^-2)^4, X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 388 and type {90,90}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y^3*X^3*Y^-1*X*Y^2, X*Y^-1*X*Y^-58*X*Y^-2*X*Y^-1*X^17*Y^-2*X^5 ] Chiral map of genus 401 and type {324,324}_10 isomorphic to its dual Automorphism group of order 1620 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X*Y^-1*X^124*Y^-3*X^3*Y^-4*X*Y^-1*X^14*Y^-10 ] .......................... Chiral maps with 812 edges .......................... Chiral map of genus 175 and type {4,28}_406 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-2*X^-1*Y^2*X*Y^-2*X^3*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 320 and type {14,28}_116 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^14, X*Y^-1*X^6*Y^-1*X*Y^-2*X^2 ] Chiral map of genus 320 and type {14,28}_116 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y^3*X^2*Y*X^-1*Y^-3, X^14, X*Y^-1*X^6*Y^-3*X^3 ] Chiral map of genus 320 and type {14,28}_116 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^14, Y^-2*X^6*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 320 and type {14,28}_116 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^14, X^2*Y^-1*X^5*Y^-1*X*Y^-4 ] Chiral map of genus 320 and type {14,28}_116 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^14, X^2*Y^-1*X^5*Y^-2*X*Y^-1*X^2 ] Chiral map of genus 320 and type {14,28}_116 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^14, X^2*Y^-1*X^5*Y^-2*X^3*Y^-1 ] Chiral map of genus 349 and type {28,28}_58 isomorphic to its dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, X*Y^-2*X*Y^-2*X*Y^-2*X^13*Y^-6 ] Chiral map of genus 349 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y*X^-1*Y*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-8*Y*X^-1*Y^2*X^-1*Y^3 ] Chiral map of genus 349 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y*X^-1*Y, Y*X^-1*Y*X^4*Y^-1*X*Y*X^-2, X^-1*Y^2*X^-2*Y*X^-1*Y^2*X^-2*Y^2*X^-11*Y^3*X^-1 ] Chiral map of genus 349 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^3*Y*X^-1*Y^-3, Y*X*Y^-1*X^5*Y*X^-1*Y*X^-1*Y^2, Y^-1*X^5*Y^-3*X*Y^-1*X*Y^-1*X^2*Y^-1*X^5*Y^-1*X^4*Y^-2 ] Chiral map of genus 349 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, X^-1*Y*X^-1*Y*X^3*Y^-2*X*Y^2, Y*X^-3*Y^2*X^-6*Y^2*X^-1*Y*X^-5*Y*X^-2*Y^2*X^-1*Y ] Chiral map of genus 349 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y*X^-2*Y^2, X^-1*Y^4*X^-4*Y*X^-1*Y^2*X^-11*Y*X^-1*Y^2 ] Chiral map of genus 349 and type {28,28}_58 not isomorphic to its dual or mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y*X*Y^-2*X^3*Y^2*X^-2*Y, Y^2*X^-1*Y*X^-1*Y*X^-1*Y^5*X^-9*Y*X^-6 ] Chiral map of genus 399 and type {203,203}_4 isomorphic to its mirror-dual Automorphism group of order 1624 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-44*X^15*Y^-1*X*Y^-137*X^2 ] .......................... Chiral maps with 813 edges .......................... Chiral map of genus 1 and type {3,6}_542 not isomorphic to its dual or mirror-dual Automorphism group of order 1626 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y ] .......................... Chiral maps with 814 edges .......................... Chiral map of genus 371 and type {44,44}_74 isomorphic to its dual Automorphism group of order 1628 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y^2*X^2*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, X^-2*Y^2*X^-1*Y*X^-9*Y*X^-1*Y*X^-1*Y*X^-1*Y ] .......................... Chiral maps with 816 edges .......................... Chiral map of genus 137 and type {4,12}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y^12, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1, X*Y^-1*X^-1*Y*X*Y^-3*X^2*Y*X^-1*Y^-4, Y*X*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y^2 ] Chiral map of genus 137 and type {4,12}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-1*Y ] Chiral map of genus 171 and type {4,24}_408 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2, Y^24 ] Chiral map of genus 171 and type {4,24}_408 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^2*X*Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 239 and type {8,12}_408 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^12, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 239 and type {8,12}_408 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^12, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 273 and type {8,24}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 273 and type {8,24}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 273 and type {8,24}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-3*X^2*Y^-2*X^2*Y^-7 ] Chiral map of genus 273 and type {8,24}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-2*Y^-2*X*Y^-2, Y^-3*X^2*Y^-2*X^2*Y^-7 ] Chiral map of genus 273 and type {12,12}_68 isomorphic to its dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 273 and type {12,12}_68 isomorphic to its dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y^2*X^-1*Y ] Chiral map of genus 307 and type {12,24}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 307 and type {12,24}_136 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 341 and type {16,48}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, Y^-5*X^4*Y^-7, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 341 and type {16,48}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, X^16 ] Chiral map of genus 341 and type {16,48}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, X^-2*Y*X^5*Y^-1*X*Y^4, X^16 ] Chiral map of genus 341 and type {16,48}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y^-1*X*Y^2, X^16 ] Chiral map of genus 341 and type {16,48}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^3*Y^2*X^-2*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X^-1*Y*X^2*Y^-3*X*Y, X^16 ] Chiral map of genus 341 and type {16,48}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y^3*X^4*Y*X^-1*Y^-1*X*Y, Y*X^7*Y*X^-2*Y*X^-1*Y, X^16 ] Chiral map of genus 341 and type {16,48}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, X^-1*Y^2*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X^16 ] Chiral map of genus 341 and type {16,48}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, Y^-5*X^4*Y^-7, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y ] Chiral map of genus 341 and type {16,48}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y*X^-1*Y^3*X^2*Y^4*X^-1 ] Chiral map of genus 341 and type {16,48}_204 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^-2*X^-1*Y*X^3*Y^-1*X^2*Y^-2 ] Chiral map of genus 341 and type {24,24}_68 isomorphic to its dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 341 and type {24,24}_68 isomorphic to its dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^2*X*Y^-1*X^-2*Y*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1, X^-2*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-4*Y^2*X^-1*Y*X^-3 ] Chiral map of genus 341 and type {24,24}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-2*X^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 341 and type {24,24}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y^4*X^3*Y^-1*X^2*Y*X^-1, Y^2*X^-1*Y^2*X^-1*Y*X^-7*Y^3*X^-1*Y^6 ] Chiral map of genus 341 and type {24,24}_136 isomorphic to its dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X*Y^-2*X^-1*Y*X^3*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 341 and type {24,24}_136 isomorphic to its dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-2*Y*X^3*Y^-2*X*Y^-1*X ] Chiral map of genus 375 and type {48,48}_34 isomorphic to its dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, Y^11*X^-2*Y^7*X^-15*Y*X^-1*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 375 and type {48,48}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X^-24*Y^3*X^-1*Y^3*X^-2*Y*X^-9*Y*X^-4 ] Chiral map of genus 375 and type {48,48}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^2*Y^-19*X^2*Y^-1*X*Y^-1*X*Y^-2*X^13*Y^-4*X*Y^-1 ] Chiral map of genus 375 and type {48,48}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-1*X^4*Y^2*X^-1*Y^2, X^21*Y^-1*X^2*Y^-2*X^2*Y^-1*X^2*Y^-1*X^9*Y^-1*X*Y^-1*X*Y^-3 ] Chiral map of genus 375 and type {48,48}_68 isomorphic to its dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^2*X*Y^-1*X^-2*Y*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1, X^-3*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 375 and type {48,48}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1632 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y^4*X^3*Y^-1*X^2*Y*X^-1, X^-4*Y^2*X^-3*Y*X^-9*Y^5 ] .......................... Chiral maps with 818 edges .......................... Chiral map of genus 1 and type {4,4}_818 isomorphic to its dual Automorphism group of order 1636 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 819 edges .......................... Chiral map of genus 1 and type {3,6}_546 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^3*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 1 and type {3,6}_546 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 235 and type {6,21}_546 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-21 ] Chiral map of genus 253 and type {6,39}_546 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^-39 ] Chiral map of genus 274 and type {9,18}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X^-1*Y*X*Y^-1*X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^-2*X*Y^-2 ] Chiral map of genus 274 and type {9,18}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^2 ] Chiral map of genus 352 and type {18,63}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^3*Y^-2*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-2*X ] Chiral map of genus 358 and type {18,117}_182 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^2*Y^-1*X*Y^-1*X^3*Y*X^-1*Y*X^-2*Y*X^-1, X^18, Y^3*X*Y^-1*X^2*Y^-1*X^2*Y^-6*X*Y^2 ] Chiral map of genus 352 and type {21,42}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^5*X^-1*Y*X^-9*Y^4*X^-1, Y*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 379 and type {39,78}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-2*X*Y^-2*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y^-1, Y^-1*X^3*Y^-4*X*Y^-5*X*Y^-1*X^15*Y^-1*X^2*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 391 and type {63,126}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^-1*Y^2*X^-1*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y^3*X^-4*Y*X^-15*Y*X^-1*Y^5*X^-1*Y^4*X^-4 ] Chiral map of genus 400 and type {117,234}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1638 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^-3*X^80*Y^-1*X^2*Y^-2*X*Y^-2*X*Y^-1*X^17*Y^-1*X^2*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 820 edges .......................... Chiral map of genus 1 and type {4,4}_410 isomorphic to its dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 1 and type {4,4}_410 isomorphic to its dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 165 and type {4,20}_410 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-1*Y, Y*X^-1*Y^-3*X^-1*Y^2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2*X*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 201 and type {4,164}_410 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^41*X^2*Y*X^-1*Y^-2*X*Y^38 ] Chiral map of genus 288 and type {10,20}_164 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-2*X*Y^-1*X*Y^-1*X^-2*Y^-1*X^4*Y^-1 ] Chiral map of genus 288 and type {10,20}_164 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, X^10, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, Y^-1*X^4*Y^-1*X^-2*Y^-1*X^4*Y^-1 ] Chiral map of genus 288 and type {10,20}_164 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y^-3 ] Chiral map of genus 288 and type {10,20}_164 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, X^10, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^4*Y^-1*X^-2*Y^-1*X^4*Y^-1, Y*X^3*Y^-1*X^3*Y^2*X^-1*Y*X^-1*Y, Y*X*Y^-1*X*Y^-1*X^3*Y^5*X^-1 ] Chiral map of genus 329 and type {20,20}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X^7*Y^5*X^-1, X^3*Y^-3*X*Y^-1*X^4*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 329 and type {20,20}_82 isomorphic to its dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-3*X*Y^-2*X^12*Y^-1, X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 329 and type {20,20}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y*X^6*Y^3*X^-2, Y*X*Y^-1*X^4*Y*X^-3*Y, X*Y^-1*X*Y^-2*X^8*Y^-1*X*Y^-2*X*Y^-2 ] Chiral map of genus 329 and type {20,20}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-4*X*Y^5, Y*X^7*Y^2*X^-3*Y, Y*X*Y^-1*X^5*Y^3*X^-1*Y*X^-1, X*Y^-2*X^2*Y^-4*X^5*Y^-3*X*Y^-1*X ] Chiral map of genus 329 and type {20,20}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, X^-3*Y*X^-14*Y*X^-1 ] Chiral map of genus 370 and type {40,40}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y*X*Y^-3*X^2*Y*X^-1*Y^3, X^2*Y^-2*X^2*Y^-1*X^2*Y^-1*X^4*Y^-3*X*Y^-2 ] Chiral map of genus 370 and type {40,40}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y*X^-1*Y*X^4*Y^-1*X*Y*X^-2, Y*X^-1*Y*X^-1*Y*X^-7*Y^2*X^-2*Y^2*X^-2 ] Chiral map of genus 370 and type {40,40}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y*X^7*Y*X^-1*Y^4, Y^-1*X^-1*Y^6*X^-1*Y^-1*X*Y^-2*X*Y^-2, Y^-3*X*Y^-3*X^6*Y^-1*X*Y^-2*X^3 ] Chiral map of genus 370 and type {40,40}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1, Y^2*X^-1*Y*X^4*Y^-2*X*Y^3, X^-3*Y^2*X^-11*Y^3*X^-1 ] Chiral map of genus 370 and type {40,40}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-2*Y^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^2*X^-1*Y^3*X^-1*Y*X^-5*Y^7 ] Chiral map of genus 401 and type {164,164}_10 isomorphic to its dual Automorphism group of order 1640 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^-122*Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-11*Y^2*X^-3*Y*X^-3*Y*X^-2*Y*X^-2*Y ] .......................... Chiral maps with 822 edges .......................... Chiral map of genus 275 and type {12,12}_274 isomorphic to its dual Automorphism group of order 1644 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 825 edges .......................... Chiral map of genus 276 and type {10,15}_330 not isomorphic to its dual or mirror-dual Automorphism group of order 1650 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-15 ] Chiral map of genus 276 and type {10,15}_330 not isomorphic to its dual or mirror-dual Automorphism group of order 1650 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1, Y^-15 ] Chiral map of genus 331 and type {15,30}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 1650 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, X^-15 ] Chiral map of genus 331 and type {15,30}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 1650 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^3*Y^-1*X^3*Y^2*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y*X*Y^-1*X^3*Y^4*X^-1*Y^-1, X^-15 ] Chiral map of genus 386 and type {50,75}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1650 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^7*Y^2*X^-3*Y, X^-1*Y*X^-1*Y^3*X^-2*Y*X^-3*Y*X^-7*Y*X^-4 ] Chiral map of genus 386 and type {50,75}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1650 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y*X^7*Y^2*X^-3*Y, X*Y^-1*X*Y^-4*X^4*Y^-1*X^8*Y^-1*X*Y^-2*X ] Chiral map of genus 397 and type {75,150}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1650 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X^2*Y^-49*X*Y^-1*X*Y^-2*X^12*Y^-1*X*Y^-1*X^4 ] Chiral map of genus 397 and type {75,150}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1650 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^2*Y^-2*X^48*Y^-3*X*Y^-3*X^11*Y^-1*X*Y^-2 ] .......................... Chiral maps with 828 edges .......................... Chiral map of genus 406 and type {184,184}_6 isomorphic to its dual Automorphism group of order 1656 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, Y^-1*X^66*Y^-1*X*Y^-2*X*Y^-1*X^13*Y^-6 ] .......................... Chiral maps with 830 edges .......................... Chiral map of genus 411 and type {332,332}_10 isomorphic to its dual Automorphism group of order 1660 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^127*X^-2*Y*X^-5*Y^3*X^-13*Y*X^-1*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y^3*X^-1 ] .......................... Chiral maps with 831 edges .......................... Chiral map of genus 1 and type {3,6}_554 not isomorphic to its dual or mirror-dual Automorphism group of order 1662 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y ] .......................... Chiral maps with 832 edges .......................... Chiral map of genus 1 and type {4,4}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 105 and type {4,8}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, X^-2*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 105 and type {4,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-2*Y*X^-1*Y*X^-1*Y^-2*X^2*Y ] Chiral map of genus 105 and type {4,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-2*Y*X^-1*Y*X^-1*Y^2*X^2*Y ] Chiral map of genus 105 and type {4,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, Y^8, X^-1*Y^-4*X^2*Y^4*X^-1, X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 157 and type {4,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, Y^-1*X*Y^3*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^2 ] Chiral map of genus 157 and type {4,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 183 and type {4,32}_416 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^32 ] Chiral map of genus 183 and type {4,32}_416 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X*Y^-2*X^-1*Y^2*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-5*X*Y*X^-1*Y^-1 ] Chiral map of genus 209 and type {8,8}_52 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 209 and type {8,8}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X^2*Y^-1*X^3*Y^2*X^-1*Y^-1, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^2*Y^-1 ] Chiral map of genus 209 and type {8,8}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-2*X^2*Y^-1 ] Chiral map of genus 209 and type {8,8}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 209 and type {8,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y ] Chiral map of genus 209 and type {8,8}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X^2*Y^-1*X^3*Y^2*X^-1*Y^-1, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y ] Chiral map of genus 209 and type {8,8}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y ] Chiral map of genus 261 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 261 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-3*X*Y^4, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 261 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 261 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^2*X^-1*Y ] Chiral map of genus 261 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-2*Y^2 ] Chiral map of genus 261 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 261 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^2*X^-1*Y*X^2*Y^-1 ] Chiral map of genus 261 and type {8,16}_208 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 287 and type {8,32}_416 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^2*X^-1*Y, Y^2*X*Y^-5*X^-1*Y^2*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 287 and type {8,32}_416 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y, Y^2*X*Y^-5*X^-1*Y^2*X^-1*Y^-5*X*Y^2 ] Chiral map of genus 313 and type {16,16}_52 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 313 and type {16,16}_52 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 313 and type {16,16}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 313 and type {16,16}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 313 and type {16,16}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-2*X^2*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 313 and type {16,16}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 313 and type {16,16}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, Y^-1*X^8*Y^-7, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 313 and type {16,16}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, Y^-1*X^8*Y^-7, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-2*Y^2 ] Chiral map of genus 313 and type {16,16}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, Y^-1*X^8*Y^-7, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1*X*Y^2 ] Chiral map of genus 313 and type {16,16}_104 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, Y^-1*X^8*Y^-7, X^-1*Y*X^2*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^2*X^-2*Y^2 ] Chiral map of genus 361 and type {16,208}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^26*X^2*Y*X^-2*Y^25 ] Chiral map of genus 365 and type {32,32}_52 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 365 and type {32,32}_52 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^-1*Y*X^2*Y^-2*X^-2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, X*Y^-3*X*Y^-1*X*Y^-3*X*Y^-1*X*Y^-1*X^11*Y^-5*X^2 ] Chiral map of genus 365 and type {32,32}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^12*Y^-4, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 391 and type {64,64}_26 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^2*X^-2*Y^21*X^-1*Y*X^-2*Y*X^-1*Y^4*X^-3*Y*X^-8*Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 391 and type {64,64}_52 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^-1*Y*X^2*Y^-2*X^-2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, X^-1*Y*X^-1*Y*X^-1*Y*X^-11*Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 409 and type {208,208}_8 isomorphic to its dual Automorphism group of order 1664 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^-3*X^6*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X^3*Y^-1*X^11*Y^-1*X^3*Y^-4*X*Y^-3*X^2*Y^-1*X*Y^-2 ] .......................... Chiral maps with 834 edges .......................... Chiral map of genus 140 and type {6,6}_278 not isomorphic to its dual or mirror-dual Automorphism group of order 1668 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1 ] .......................... Chiral maps with 837 edges .......................... Chiral map of genus 1 and type {3,6}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 1674 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-3*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 187 and type {6,9}_558 not isomorphic to its dual or mirror-dual Automorphism group of order 1674 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y*X^-2*Y*X^-1 ] Chiral map of genus 187 and type {6,9}_558 not isomorphic to its dual or mirror-dual Automorphism group of order 1674 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 187 and type {6,9}_558 not isomorphic to its dual or mirror-dual Automorphism group of order 1674 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-2*Y^2*X*Y^-1*X*Y^-1*X^-1 ] Chiral map of genus 277 and type {6,279}_558 not isomorphic to its dual or mirror-dual Automorphism group of order 1674 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-47*X^-2*Y^-1*X^2*Y^-45 ] Chiral map of genus 280 and type {9,18}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 1674 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^3*X^-1*Y ] Chiral map of genus 373 and type {27,54}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1674 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2, X^2*Y^-1*X^2*Y^-2*X*Y^-1*X^11*Y^-1*X*Y^-5 ] Chiral map of genus 412 and type {186,279}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1674 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X^3*Y^-62*X^6*Y^-4*X^10*Y^-3*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 840 edges .......................... Chiral map of genus 201 and type {4,84}_420 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^84 ] Chiral map of genus 253 and type {6,30}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1, Y*X*Y^-1*X*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 253 and type {6,30}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^2*X*Y^-1*X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 274 and type {6,120}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^20*X^-2*Y*X^-1*Y^-4*X*Y*X^-2*Y^14 ] Chiral map of genus 274 and type {6,120}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^20*X^2*Y^2*X^-1*Y^-4*X*Y^14 ] Chiral map of genus 311 and type {8,168}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^21*X^-1*Y^-2*X^2*Y^-6*X*Y^13 ] Chiral map of genus 311 and type {8,168}_420 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^21*X^-1*Y^-2*X*Y^2*X^-1*Y^-1*X*Y^16 ] Chiral map of genus 281 and type {12,12}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^-3, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 281 and type {12,12}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^-3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 295 and type {12,15}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, Y^-15, Y*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 321 and type {12,28}_420 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^28 ] Chiral map of genus 323 and type {12,30}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 337 and type {12,60}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1*X^2, Y^-4*X^-1*Y*X*Y^-4*X^-1*Y*X^-2*Y^6*X^-1*Y^-4 ] Chiral map of genus 337 and type {12,60}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^10*X*Y^-1*X^2*Y^-1*X*Y^8 ] Chiral map of genus 341 and type {12,84}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^14*X*Y^-7*X*Y^7 ] Chiral map of genus 344 and type {12,120}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1*X^2, Y^-4*X^-1*Y*X*Y^-4*X^-1*Y*X^-1*Y^-2*X*Y^4*X^-1*Y^-4 ] Chiral map of genus 344 and type {12,120}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^10*X*Y^-1*X*Y^4*X^-2*Y^5 ] Chiral map of genus 353 and type {14,105}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^14, Y^2*X*Y^-5*X^-3*Y^8 ] Chiral map of genus 351 and type {15,60}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X*Y^-5*X*Y^6, X^-15, Y^4*X^-4*Y^5*X^-1*Y, Y^-1*X*Y^-1*X*Y^-3*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 351 and type {24,24}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X^7*Y^3*X^-1*Y^2, X*Y^-1*X*Y^-6*X*Y^-1*X^8*Y^-3*X*Y^-1 ] Chiral map of genus 351 and type {24,24}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y*X^7*Y^3*X^-1*Y^2, Y^-3*X*Y^-1*X*Y^-1*X^12*Y^-1*X^2*Y^-2 ] Chiral map of genus 351 and type {24,24}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^4*Y^-1*X^2*Y^-1*X ] Chiral map of genus 351 and type {24,24}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^2*Y^-1*X*Y^-1*X^2*Y^-3*X*Y^-1 ] Chiral map of genus 358 and type {24,30}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, (X*Y^-3*X^2)^2, Y^-3*X^2*Y^-1*X^3*Y^4*X^-1*Y^-2 ] Chiral map of genus 358 and type {24,30}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y^3*X^5*Y*X^-1*Y^-1*X*Y*X^-1, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 371 and type {24,56}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1, X^-1*Y*X^2*Y^-2*X^7*Y*X^-2*Y^-2, Y^5*X^-2*Y*X^3*Y^-2*X*Y^6 ] Chiral map of genus 371 and type {24,56}_420 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1, X^-1*Y*X^2*Y^-2*X^7*Y*X^-2*Y^-2, X^-1*Y^5*X*Y^-2*X^3*Y*X^-1*Y^-6 ] Chiral map of genus 372 and type {24,60}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, (X*Y^-3*X^2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y*X^-1*Y^-1*X, X^-2*Y^2*X*Y^-1*X^3*Y^7 ] Chiral map of genus 372 and type {24,60}_280 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y^3*X^5*Y*X^-1*Y^-1*X*Y*X^-1, Y*X*Y^-4*X^2*Y^-2*X*Y^3 ] Chiral map of genus 379 and type {24,120}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^2*Y^-1*X^3*Y^7, Y^2*X^-1*Y^2*X^-14*Y^2*X^-1*Y^2 ] Chiral map of genus 379 and type {24,120}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-2*X^-1*Y^3*X^2*Y^2*X^-1*Y^-3, X*Y^-3*X^2*Y^-2*X^7*Y^-5*X*Y^-1*X*Y^-1 ] Chiral map of genus 379 and type {24,120}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-3*X^2*Y^-1*X^3*Y*X^-1*Y^-5 ] Chiral map of genus 379 and type {24,120}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, X*Y^-4*X^4*Y^-4*X*Y^2 ] Chiral map of genus 381 and type {24,168}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^5*X*Y^-2*X^-2*Y^-5*X*Y^2, X^-1*Y^2*X^-1*Y*X^-2*Y^2*X^-7*Y^2*X^-1*Y*X^-4 ] Chiral map of genus 381 and type {24,168}_140 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X^-1*Y^5*X^-2*Y^6*X^-1*Y^-2 ] Chiral map of genus 381 and type {28,84}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X*Y^-4*X^3*Y^7, X^2*Y^-1*X*Y^-3*X*Y^-1*X^9*Y^-3*X*Y^-4*X^2 ] Chiral map of genus 365 and type {30,30}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y^-1*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-3*Y^-1*X, Y^-3*X*Y^-1*X*Y^-1*X*Y^-2*X^11*Y^-2*X*Y^-1*X*Y^-4 ] Chiral map of genus 379 and type {30,60}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X*Y^-5*X*Y^6, X^-9*Y^6, X^-1*Y*X^-1*Y*X^-4*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y^-1*X*Y^-1*X*Y^-3*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 386 and type {30,120}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4, Y^-3*X^3*Y^-3*X^10*Y^-3*X*Y^-3*X^4 ] Chiral map of genus 386 and type {30,120}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^-1*X^3*Y^-1*X^2*Y^-1*X*Y^-1*X^8*Y^-7*X^2*Y^-1*X^2 ] Chiral map of genus 393 and type {42,105}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-2*X^-1*Y^3*X^2*Y^2*X^-1*Y^-3, Y*X^-2*Y*X^-2*Y*X^-8*Y*X^-4*Y ] Chiral map of genus 401 and type {56,168}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^-2*Y^5*X^-4*Y*X^-2*Y^5*X^-4*Y*X^-2*Y^5*X^-4*Y*X^-1*Y*X^-1*Y*X^-11*Y^2*X^-1*Y ] Chiral map of genus 401 and type {56,168}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y*X*Y^-4*X^3*Y^7, Y^-2*X^3*Y^-1*X*Y^-2*X^10*Y^-2*X^4*Y^-1*X^2 ] Chiral map of genus 393 and type {60,60}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-3*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-3*X^8*Y^-6*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 400 and type {60,120}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^4, Y^-4*X*Y^-3*X^2*Y^-1*X*Y^-1*X^7*Y^-1*X^3*Y^-3*X^2*Y^-1 ] Chiral map of genus 400 and type {60,120}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y^-4*X^2*Y^-4*X^8*Y^-1*X*Y^-3*X*Y^-6 ] Chiral map of genus 401 and type {70,105}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^-4*X^3*Y^-1*X^2*Y^-1*X^5*Y^-1*X^9*Y^-2*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 401 and type {84,84}_20 isomorphic to its dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, Y^2*X^-3*Y^2*X^-2*Y^2*X^-1*Y^3*X^-3*Y*X^-9*Y^4*X^-3*Y^2*X^-1*Y*X^-3 ] Chiral map of genus 401 and type {84,84}_20 isomorphic to its dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-1*Y^45*X^-1*Y*X^-1*Y^2*X^-1*Y^4*X^-1*Y^3*X^-10*Y*X^-1*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^4 ] Chiral map of genus 405 and type {105,105}_4 isomorphic to its mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^-2*Y^86*X^-13*Y*X^-2*Y ] Chiral map of genus 409 and type {105,210}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^83*X^-2*Y*X^-11*Y*X^-1*Y*X^-1 ] Chiral map of genus 407 and type {120,120}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X*Y^-1*X^2*Y^-77*X^3*Y^-3*X*Y^-2*X*Y^-3*X^12*Y^-2*X*Y^-1*X*Y^-4*X*Y^-1*X*Y^-2 ] Chiral map of genus 407 and type {120,120}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-3*X^8*Y^-6*X^2*Y^-3 ] Chiral map of genus 411 and type {168,168}_10 isomorphic to its dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^130*X^-2*Y*X^-5*Y^3*X^-12*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-2*Y ] Chiral map of genus 411 and type {168,168}_20 isomorphic to its dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-44*Y^3*X^-1*Y^2*X^-1*Y^4*X^-1*Y^3*X^-10*Y*X^-1*Y*X^-1*Y^2*X^-2*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 413 and type {210,210}_4 isomorphic to its mirror-dual Automorphism group of order 1680 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^141*X^-1*Y*X^-15*Y^48*X^-1*Y ] .......................... Chiral maps with 842 edges .......................... Chiral map of genus 1 and type {4,4}_842 isomorphic to its dual Automorphism group of order 1684 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-1*Y ] .......................... Chiral maps with 848 edges .......................... Chiral map of genus 1 and type {4,4}_212 isomorphic to its dual Automorphism group of order 1696 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 107 and type {4,8}_424 not isomorphic to its dual or mirror-dual Automorphism group of order 1696 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 107 and type {4,8}_424 not isomorphic to its dual or mirror-dual Automorphism group of order 1696 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 213 and type {8,8}_212 isomorphic to its dual Automorphism group of order 1696 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 213 and type {8,8}_212 isomorphic to its dual Automorphism group of order 1696 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 319 and type {16,16}_106 isomorphic to its dual Automorphism group of order 1696 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y*X^-1*Y*X*Y^-1*X^2*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 319 and type {16,16}_212 isomorphic to its dual Automorphism group of order 1696 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y*X^-1*Y*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1 ] .......................... Chiral maps with 849 edges .......................... Chiral map of genus 1 and type {3,6}_566 not isomorphic to its dual or mirror-dual Automorphism group of order 1698 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] .......................... Chiral maps with 850 edges .......................... Chiral map of genus 1 and type {4,4}_170 isomorphic to its dual Automorphism group of order 1700 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 1 and type {4,4}_850 isomorphic to its dual Automorphism group of order 1700 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X ] Chiral map of genus 1 and type {4,4}_850 isomorphic to its dual Automorphism group of order 1700 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 341 and type {20,20}_170 isomorphic to its dual Automorphism group of order 1700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-3*X*Y^-1*X*Y^-2*X^8*Y^-1*X*Y^-1, X*Y^-1*X*Y^-1*X^2*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X*Y^-1 ] Chiral map of genus 341 and type {20,20}_170 isomorphic to its dual Automorphism group of order 1700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-3*X*Y^-1*X*Y^-2*X^8*Y^-1*X*Y^-1, Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 401 and type {68,68}_50 isomorphic to its dual Automorphism group of order 1700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y, X^-2*Y*X^-1*Y^2*X^-1*Y*X^-11*Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 409 and type {100,100}_34 isomorphic to its dual Automorphism group of order 1700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X^-1*Y*X^-1*Y*X^-9*Y^10*X^-11*Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^4 ] Chiral map of genus 421 and type {340,340}_10 isomorphic to its dual Automorphism group of order 1700 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^131*X^-1*Y*X^-2*Y^6*X^-14*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y^3*X^-1*Y ] .......................... Chiral maps with 854 edges .......................... Chiral map of genus 367 and type {28,28}_122 isomorphic to its dual Automorphism group of order 1708 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^2*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 855 edges .......................... Chiral map of genus 229 and type {6,15}_570 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y*X^-2*Y^-1*X*Y^2*X ] Chiral map of genus 343 and type {15,30}_114 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 362 and type {18,45}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 362 and type {18,45}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, X*Y^-1*X^-5*Y^2*X^-2*Y^2 ] Chiral map of genus 362 and type {18,45}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X^-1*Y*X^-4*Y^2*X^-3*Y^-1 ] Chiral map of genus 362 and type {18,45}_190 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^2*X^-5*Y^-1*X*Y*X^-2*Y ] Chiral map of genus 400 and type {45,90}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-3*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^3*X^-1*Y^5*X^-12*Y^2*X^-1*Y^5*X^-1*Y^3*X^-3 ] Chiral map of genus 400 and type {45,90}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X^6*Y^3*X^-2, X^-3*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-3*Y^2*X^-12*Y*X^-2*Y*X^-1 ] Chiral map of genus 400 and type {45,90}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y^2*X^-1, X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^2*Y^-2*X*Y^-2*X^2*Y^-2*X^12*Y^-4 ] Chiral map of genus 400 and type {45,90}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1710 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X*Y^-1*X*Y^-3*X^13*Y^-1*X^3*Y^-1*X*Y^-1*X^2*Y^-2*X^8*Y^-1*X^6 ] .......................... Chiral maps with 858 edges .......................... Chiral map of genus 274 and type {6,66}_286 not isomorphic to its dual or mirror-dual Automorphism group of order 1716 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2, Y^-8*X^-1*Y^3*X*Y^-2*X*Y^2*X^-1*Y^-7 ] Chiral map of genus 274 and type {6,66}_286 not isomorphic to its dual or mirror-dual Automorphism group of order 1716 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-10*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-5*X^-2*Y^-4 ] Chiral map of genus 404 and type {66,66}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1716 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X^-2*Y^24*X^-2*Y*X^-1*Y*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-11*Y^2*X^-1*Y*X^-1*Y*X^-1*Y^4*X^-2*Y ] Chiral map of genus 417 and type {132,132}_26 isomorphic to its dual Automorphism group of order 1716 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^2*X^-2*Y^23*X^-4*Y^2*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-8*Y*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^3*X^-1 ] Chiral map of genus 417 and type {132,132}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1716 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-13*Y^2 ] .......................... Chiral maps with 860 edges .......................... Chiral map of genus 211 and type {4,172}_430 not isomorphic to its dual or mirror-dual Automorphism group of order 1720 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^43*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^40 ] Chiral map of genus 421 and type {172,172}_10 isomorphic to its dual Automorphism group of order 1720 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X^-133*Y*X^-2*Y^7*X^-1*Y^3*X^-11*Y^2*X^-1*Y^2*X^-2*Y*X^-1*Y^2*X^-3 ] .......................... Chiral maps with 861 edges .......................... Chiral map of genus 281 and type {6,123}_574 not isomorphic to its dual or mirror-dual Automorphism group of order 1722 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-21*X^-2*Y^-1*X*Y^4*X^-1*Y^-1*X*Y^2*X^-1*Y^-12 ] Chiral map of genus 421 and type {123,246}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1722 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^84*X^-4*Y*X^-1*Y^4*X^-2*Y^3*X^-10*Y^3*X^-2*Y^2*X^-1*Y^3*X^-3 ] .......................... Chiral maps with 864 edges .......................... Chiral map of genus 37 and type {3,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^3, Y^8, (X*Y^-2)^6, Y*X^-1*Y^3*X^-1*Y^-4*X^-1*Y^2*X^-1*Y^4*X*Y^-2*X*Y^2 ] Chiral map of genus 109 and type {4,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y ] Chiral map of genus 163 and type {4,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-1)^6, Y^16 ] Chiral map of genus 163 and type {4,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^4, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y, Y^-5*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 181 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-2)^4, Y^-3*X^-1*Y*X*Y^-2*X^-1*Y^3*X^-1*Y^-3 ] Chiral map of genus 181 and type {4,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^4, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y, (X*Y^-2)^4, Y^24 ] Chiral map of genus 199 and type {4,48}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^48 ] Chiral map of genus 199 and type {4,48}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^4, Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y, (X*Y^-2)^4, Y^12*X*Y^-2*X*Y*X^-1*Y^-1*X*Y^8 ] Chiral map of genus 145 and type {6,6}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X^-2*Y*X^3*Y^3*X^-1*Y, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 145 and type {6,6}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X^-2*Y*X^3*Y^3*X^-1*Y, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 145 and type {6,6}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 145 and type {6,6}_24 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y*X^2*Y^-1*X^-2*Y*X^2*Y^3*X*Y^-2*X^-1 ] Chiral map of genus 181 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^8, X*Y^-3*X^-2*Y^-1*X*Y*X^-2*Y^-1, Y^-3*X*Y^-2*X^-2*Y*X^-1*Y^-1*X^2*Y^-1*X^2 ] Chiral map of genus 181 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^8, (Y*X^-1*Y)^3, Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X*Y^2*X^-2 ] Chiral map of genus 181 and type {6,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^8, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y^-1*X*Y^-3*X*Y^-1*X^-2*Y^3*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 241 and type {6,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-1)^6, Y^-2*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y^-2, (X*Y^-2)^4 ] Chiral map of genus 241 and type {6,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y^-2*X*Y^-1*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-2 ] Chiral map of genus 241 and type {6,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1)^4, X*Y^-3*X^-3*Y^-1*X^2*Y^-2, Y^18 ] Chiral map of genus 241 and type {6,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y^2*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X*Y, Y^18 ] Chiral map of genus 241 and type {6,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y*X^-2*Y*X^2*Y^-1*X^-2*Y^3*X^-1*Y^-1*X*Y ] Chiral map of genus 241 and type {6,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y^2*X*Y^-1*X^-2*Y^-1*X*Y*X^-2*Y*X^-1 ] Chiral map of genus 241 and type {6,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-2)^4 ] Chiral map of genus 241 and type {6,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^18, Y^-1*X^-2*Y^-2*X^2*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^2*X^2*Y^-1*X ] Chiral map of genus 265 and type {6,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-2*X^3*Y^2*X^-1, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 265 and type {6,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^-2*Y*X*Y^-1*X^2*Y*X^-1*Y^-3, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 265 and type {6,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X^2*Y*X^-1, X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^-1*Y*X^2*Y^8 ] Chiral map of genus 277 and type {6,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1*X^2*Y*X^-1, Y^3*X*Y^-1*X^-1*Y*X*Y^-1*X^3*Y*X^-1*Y^-2*X*Y^3 ] Chiral map of genus 277 and type {6,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y^-1*X*Y*X^-1, Y^-12*X^2*Y^-1*X*Y*X^-1*Y^-1*X^2*Y^-5*X^-2*Y^-4 ] Chiral map of genus 286 and type {6,288}_288 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^48*X^2*Y*X^-2*Y^47 ] Chiral map of genus 217 and type {8,8}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^3*Y^-1*X^-2*Y^4*X, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 217 and type {8,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-2*Y*X*Y^-1*X^-2*Y^-1*X^3*Y, X^-1*Y*X^2*Y^-1*X^3*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 217 and type {8,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y^-2*X, X^-2*Y*X*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 217 and type {8,8}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, (X*Y^-1)^6 ] Chiral map of genus 253 and type {8,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, (X*Y^-1*X)^4, Y^12, X^-2*Y*X*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 253 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 253 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, X*Y^-1*X^-3*Y*X^3*Y*X^-3*Y^-1, Y^12 ] Chiral map of genus 253 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-2*X*Y^3, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, X^3*Y^-1*X*Y^-1*X^-3*Y*X^-3*Y^-1*X^2*Y^2 ] Chiral map of genus 253 and type {8,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-2)^2, Y^12, X^3*Y^-1*X*Y^-1*X^-3*Y*X^-3*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 253 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, Y^2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 253 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y^12, X^-2*Y*X*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 253 and type {8,12}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^12, X^-2*Y*X*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y, X^-1*Y*X*Y^-2*X^3*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 271 and type {8,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y*X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 271 and type {8,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-3*X^4*Y^-5, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-1)^6 ] Chiral map of genus 289 and type {8,24}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, Y*X*Y^-2*X^-3*Y*X^-1*Y^-1*X^3*Y ] Chiral map of genus 289 and type {8,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^2*X^-1*Y^-2 ] Chiral map of genus 289 and type {8,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, (X*Y^-1)^6, Y*X^3*Y^-1*X^-4*Y^-1*X*Y^5 ] Chiral map of genus 289 and type {8,24}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, X^-1*Y*X*Y^-1*X^3*Y^-3*X*Y^-1, Y^-3*X^2*Y^-2*X^2*Y^-7 ] Chiral map of genus 289 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, X^-1*Y*X*Y^-1*X^3*Y^-3*X*Y^-1, Y*X*Y^-5*X^2*Y^-3*X*Y^3 ] Chiral map of genus 289 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y^24 ] Chiral map of genus 289 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^-2*Y*X*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y, X^-1*Y*X*Y^-2*X^-1*Y^2*X^-2*Y*X^-1*Y^-6 ] Chiral map of genus 289 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^24 ] Chiral map of genus 289 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^-3*X^-1*Y*X^2*Y^-4*X, Y^24 ] Chiral map of genus 289 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3, Y^24 ] Chiral map of genus 289 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, X^-2*Y*X*Y^-1*X^-2*Y^-1*X^3*Y ] Chiral map of genus 289 and type {8,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, (X*Y^-1)^6, Y*X^3*Y^-1*X^-1*Y*X^-2*Y^2*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 307 and type {8,48}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^-3*X^-1*Y*X^2*Y^-4*X, Y^12*X^4*Y^12 ] Chiral map of genus 307 and type {8,48}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3, Y^12*X^4*Y^12 ] Chiral map of genus 265 and type {9,12}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^12, Y^-2*X*Y^-3*X*Y^-1*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 265 and type {9,12}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, (X*Y^-5)^2, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-3*X*Y^-1*X^-2*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^-2 ] Chiral map of genus 301 and type {9,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y*X*Y^-3*X*Y^-1*X*Y^4*X^-1*Y, Y^-7*X*Y^-1*X^-1*Y^6*X^-1*Y^-2 ] Chiral map of genus 301 and type {9,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^-2*X^-1*Y*X*Y^-2*X*Y^-1*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2, X^-1*Y^2*X*Y^-2*X*Y^-2*X^2*Y^8 ] Chiral map of genus 301 and type {9,24}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^2*X*Y^-2*X^-2*Y^-1*X*Y^-2*X*Y ] Chiral map of genus 307 and type {12,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-1)^6, (X*Y^-2)^4, Y^16 ] Chiral map of genus 307 and type {12,16}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, (X*Y^-2)^4, Y^-1*X^2*Y^-2*X^3*Y^2*X^-1*Y^-3 ] Chiral map of genus 307 and type {12,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3, Y^16 ] Chiral map of genus 307 and type {12,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, Y*X*Y^-3*X^2*Y^-1*X*Y^3 ] Chiral map of genus 307 and type {12,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^-3*X^-1*Y*X^2*Y^-4*X, Y^16 ] Chiral map of genus 307 and type {12,16}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1 ] Chiral map of genus 313 and type {12,18}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-2)^4, (X*Y^-5)^2, X^-2*Y*X^5*Y^-4*X*Y, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 313 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2, X^4*Y^-1*X^4*Y*X^-1*Y^-1*X^3*Y^-1 ] Chiral map of genus 313 and type {12,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X^2*Y^-1*X*Y ] Chiral map of genus 313 and type {12,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, Y^-2*X^-6*Y^-7, X^-1*Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-3*Y^2*X*Y^-1*X^-2 ] Chiral map of genus 313 and type {12,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y*X^-2*Y^-1 ] Chiral map of genus 313 and type {12,18}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1*X*Y^-2*X)^2, Y^-3*X^5*Y*X^-3*Y^-2 ] Chiral map of genus 325 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X*Y^-1*X^2)^2, X^-2*Y^2*X^3*Y*X^-1*Y^3 ] Chiral map of genus 325 and type {12,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2, (X*Y^-2)^4, Y*X^2*Y^-3*X^2*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 337 and type {12,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X^3*Y^8 ] Chiral map of genus 337 and type {12,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, X*Y^-6*X^4*Y^-1*X*Y*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 337 and type {12,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^6*X^3*Y^-4*X*Y^2 ] Chiral map of genus 337 and type {12,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X^3*Y^8 ] Chiral map of genus 337 and type {12,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, X*Y^-2*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X ] Chiral map of genus 337 and type {12,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 337 and type {12,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^2*X^-2 ] Chiral map of genus 337 and type {12,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1*X*Y^-2*X)^2, Y*X*Y^-1*X^5*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 343 and type {12,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3, Y^7*X*Y^-7*X*Y^2 ] Chiral map of genus 343 and type {12,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1 ] Chiral map of genus 349 and type {12,72}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-1*X^-1*Y*X*Y^-1*X^3*Y*X^-2*Y*X^-1*Y^-1 ] Chiral map of genus 349 and type {12,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-7*X^2*Y^-1*X*Y*X^-1*Y^-3 ] Chiral map of genus 349 and type {12,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, (X*Y^-1*X^4)^2, X*Y^3*X*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 349 and type {12,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y*X*Y^-1*X^5*Y*X^-2*Y^3 ] Chiral map of genus 349 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^12*X^2*Y^4*X^-2*Y^8 ] Chiral map of genus 349 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-3*Y^2*X*Y^-1*X^3*Y^8 ] Chiral map of genus 349 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, X^-1*Y^4*X*Y^-1*X^5*Y^7*X^-1 ] Chiral map of genus 349 and type {12,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, Y^12*X^-3*Y^-1*X^3*Y^2*X^-1*Y^-2*X*Y^7 ] Chiral map of genus 355 and type {12,144}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^12*X^2*Y*X^-2*Y^11 ] Chiral map of genus 355 and type {12,144}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^24*X^-2*Y^6*X^-1*Y^-1*X*Y^17 ] Chiral map of genus 358 and type {12,288}_288 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^24*X^3*Y^-1*X*Y^23 ] Chiral map of genus 325 and type {16,16}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^2*Y^-1*X^4*Y^-1*X*Y*X^-1*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3 ] Chiral map of genus 325 and type {16,16}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, X^16 ] Chiral map of genus 325 and type {16,16}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^4*Y*X^-1*Y^-3, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1 ] Chiral map of genus 343 and type {16,24}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^3*Y^-1*X^4*Y^2*X^-1*Y^-3, X*Y^-1*X^-2*Y*X^3*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 343 and type {16,24}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, (X*Y^-1)^6, X^2*Y^-2*X^4*Y*X^-2*Y^-3 ] Chiral map of genus 343 and type {16,24}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X*Y^-2*X^4*Y*X^-3*Y^-1, X^-1*Y*X*Y^-2*X^-1*Y^2*X^-2*Y*X^-1*Y^-6 ] Chiral map of genus 343 and type {16,24}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^2*Y^-1*X^4*Y^2*X^-2*Y^-1, X^16, Y^6*X^8*Y^6 ] Chiral map of genus 343 and type {16,24}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^2*Y^-1*X^4*Y^-1*X*Y*X^-1*Y^-1, X^-1*Y*X*Y^-2*X^3*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 343 and type {16,24}_48 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 361 and type {16,48}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-1*X^-2*Y*X*Y^-1*X*Y*X^-2*Y^-2, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, X^16, Y^-3*X^2*Y^-2*X^2*Y^-7 ] Chiral map of genus 361 and type {16,48}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^-1*X^2*Y^-1*X, Y^-3*X^2*Y^-2*X^2*Y^-7 ] Chiral map of genus 361 and type {16,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^-1*X^2*Y^-1*X, Y^-4*X^-1*Y^2*X^2*Y^4*X^-1*Y^-2 ] Chiral map of genus 361 and type {16,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-1*X^-2*Y*X*Y^-1*X*Y*X^-2*Y^-2, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, X^16, Y*X*Y^-5*X^2*Y^-3*X*Y^3 ] Chiral map of genus 337 and type {18,18}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y^3*X^-2, Y*X^3*Y^-1*X^3*Y*X^-2*Y*X^-2, Y*X*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y, Y^2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X*Y, X^18 ] Chiral map of genus 349 and type {18,24}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, X^18, Y^3*X*Y^-5*X^-2*Y^6*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 349 and type {18,24}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, (X*Y^-1*X)^4, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-3*X^2, Y^-2*X*Y^-1*X^4*Y^2*X^-2*Y^-1*X, Y^4*X^4*Y^-2*X*Y*X^-1*Y ] Chiral map of genus 349 and type {18,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, (X*Y^-1*X^4)^2, Y^-3*X^5*Y^3*X^-1*Y^-2 ] Chiral map of genus 349 and type {18,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, Y*X*Y^-3*X*Y^-1*X*Y^4*X^-1*Y, Y*X^-7*Y^2*X^-1*Y^2*X^-1*Y, Y^3*X*Y^-6*X^-1*Y^5*X^-1*Y^-1*X*Y*X^-1 ] Chiral map of genus 349 and type {18,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X*Y^-2*X*Y^-1*X^-2*Y^-2*X*Y^3, Y^6*X^9*Y^6 ] Chiral map of genus 349 and type {18,24}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y^4, (X*Y^-1*X^4)^2, Y^-1*X*Y^-2*X^5*Y^2*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 349 and type {18,24}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, Y^-3*X^5*Y^3*X^-1*Y^-2, X^-1*Y^3*X^4*Y^-4*X*Y^-1 ] Chiral map of genus 349 and type {18,24}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y^-2*X^2*Y^-1*X^2*Y^-5, Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^-3*X ] Chiral map of genus 349 and type {18,24}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^-3*X, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^6*X^9*Y^6 ] Chiral map of genus 376 and type {18,96}_288 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^16*X*Y^-1*X^2*Y^-1*X*Y^14 ] Chiral map of genus 361 and type {24,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y^-2*X^3*Y^-2*X^9*Y^-2*X^3*Y^-2*X ] Chiral map of genus 361 and type {24,24}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, X^2*Y^-1*X^4*Y^-1*X*Y^-2*X, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X ] Chiral map of genus 361 and type {24,24}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y^6*X^-1*Y*X^-7*Y^4*X^-3 ] Chiral map of genus 361 and type {24,24}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1, X^-2*Y*X^5*Y^-1*X*Y^2*X^-2, Y^-1*X*Y^-1*X^5*Y^-4*X^6*Y^-1*X*Y^-3*X ] Chiral map of genus 361 and type {24,24}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^2*X^-1*Y^2*X^2*Y^-3*X*Y, X*Y^-5*X*Y^-2*X*Y^-1*X^2*Y^-1*X^3*Y^-2*X*Y^-1*X^3 ] Chiral map of genus 373 and type {24,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, Y*X^2*Y^-1*X^4*Y*X^-1*Y*X^-3, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 373 and type {24,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X*Y^-3*X^2*Y^-7 ] Chiral map of genus 373 and type {24,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y^-1*X^6*Y^-1*X*Y^-2*X, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X^2*Y^-1*X*Y ] Chiral map of genus 373 and type {24,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, X^-2*Y*X^5*Y^-1*X*Y^4 ] Chiral map of genus 373 and type {24,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y*X^2*Y^-1*X^4*Y*X^-1*Y*X^-3, X^-10*Y*X^-1*Y*X^-2*Y*X^-1*Y, Y*X*Y^-2*X^-3*Y*X^4*Y^8 ] Chiral map of genus 373 and type {24,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X, Y*X^2*Y^-1*X^4*Y*X^-1*Y*X^-3, X*Y^-2*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-1*X ] Chiral map of genus 373 and type {24,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^11*Y^2*X^-1*Y^2, X^-1*Y*X*Y^-4*X^5*Y^7*X^-1 ] Chiral map of genus 373 and type {24,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, Y^-1*X^-1*Y*X*Y^-3*X^2*Y^-7 ] Chiral map of genus 373 and type {24,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, (X*Y^-3*X^2)^2, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X^2*Y^-1*X*Y ] Chiral map of genus 373 and type {24,36}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^-3, Y^-1*X^-1*Y*X^5*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 379 and type {24,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-3*X^4*Y^-5, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y*X^2*Y^-2*X^3*Y^2*X^-1*Y^3 ] Chiral map of genus 379 and type {24,48}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-3*X^4*Y^-5, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-3*X^2*Y^-1*X*Y^-3 ] Chiral map of genus 385 and type {24,72}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-2*X^2*Y^3*X^-1, X^-2*Y*X^5*Y^-1*X*Y^4, X^3*Y^-2*X*Y^-2*X^9*Y^-1*X*Y^-2*X*Y^-1*X ] Chiral map of genus 385 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, Y^6*X^3*Y^-4*X*Y^2, X^4*Y^-1*X^13*Y^-2*X*Y^-1*X^2 ] Chiral map of genus 385 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X^-1*Y*X*Y^-1*X^4*Y^-1*X^2*Y^-1*X^2*Y^-1 ] Chiral map of genus 385 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2, X^-1*Y^2*X^-1*Y^3*X^-13*Y^2*X^-1*Y ] Chiral map of genus 385 and type {24,72}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-2*X^2*Y^3*X^-1, X^-1*Y*X^7*Y^-1*X^2*Y^-4 ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, Y^-4*X^-1*Y*X^3*Y^-7 ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, Y^3*X*Y^-3*X^2*Y^-1*X*Y^5, X^4*Y^-1*X^13*Y^-2*X*Y^-1*X^2 ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^6*X^3*Y^-4*X*Y^2 ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^12*X^2*Y^4*X^-2*Y^8 ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y^2*X^-1*Y^3*X^-13*Y^2*X^-1*Y, Y^12*X^2*Y*X^-2*Y^11 ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^7*Y^-2*X*Y^-2, (X*Y^-1)^6, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^3*X^-1, X^7*Y^-2*X*Y^-2, (X*Y^-1)^6, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^2*X^-2 ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^11*Y^2*X^-1*Y^2, X^2*Y^6*X*Y^-1*X*Y*X^-2*Y^3*X^-1*Y^-1*X ] Chiral map of genus 385 and type {24,72}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y*X^2*Y^-1*X^4*Y*X^-1*Y*X^-3, X^-10*Y*X^-1*Y*X^-2*Y*X^-1*Y, X*Y^-5*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-4*X ] Chiral map of genus 391 and type {24,144}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^-1*Y^2*X^-1*Y^3*X^-13*Y^2*X^-1*Y, Y^12*X*Y^-1*X*Y^2*X^-1*Y^-4*X*Y^5 ] Chiral map of genus 391 and type {24,144}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^12*X^2*Y*X^-2*Y^11 ] Chiral map of genus 379 and type {32,32}_6 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^-2*X*Y^-1*X^4*Y^-1*X*Y^-2*X^2*Y^-3*X^6*Y^-1*X^2*Y^-1*X^2*Y^-1*X^2 ] Chiral map of genus 379 and type {32,32}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, X^2*Y^-1*X^6*Y^-2*X*Y^-1*X^3 ] Chiral map of genus 397 and type {32,96}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X*Y^-1*X*Y^-2*X^4*Y^-3*X^2*Y^-2*X*Y^-1*X^6*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 397 and type {32,96}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-1*X^-2*Y*X*Y^-1*X*Y*X^-2*Y^-2, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, Y^-1*X*Y^-1*X^6*Y^-6*X ] Chiral map of genus 391 and type {36,48}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-2*X^2*Y^-1*X^2*Y^-5, X^10*Y^-2*X^2*Y^2 ] Chiral map of genus 391 and type {36,48}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^10*Y^-2*X^2*Y^2, Y^2*X*Y^-3*X^-1*Y^3*X^-2*Y^8 ] Chiral map of genus 400 and type {36,96}_288 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^10*Y^-2*X^2*Y^2, Y*X^-1*Y^-6*X^-4*Y^-7*X*Y^2 ] Chiral map of genus 397 and type {48,48}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^3*X^-4*Y*X^-1*Y*X^-7*Y*X^-2*Y*X^-1*Y*X^-1 ] Chiral map of genus 397 and type {48,48}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^8*Y^-1*X^2*Y^-3*X*Y^-1*X^2*Y^-1*X^7*Y^-1*X*Y^-1*X^6*Y^-1*X*Y^-2*X^8*Y^-1 ] Chiral map of genus 397 and type {48,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^2*X^-1*Y^2*X^2*Y^-3*X*Y, X*Y^-5*X*Y^-2*X*Y^-1*X^2*Y^-1*X^6*Y^-3*X ] Chiral map of genus 397 and type {48,48}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-1*X^2*Y^-2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1 ] Chiral map of genus 403 and type {48,72}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^7*Y^-2*X*Y^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X*Y^-3*X^2*Y^-1*X*Y^5 ] Chiral map of genus 403 and type {48,72}_144 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, X^-1*Y*X^10*Y*X^-3*Y^2*X^-2, Y^2*X^3*Y^-2*X^5*Y^8 ] Chiral map of genus 409 and type {48,144}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, Y^6*X^3*Y^-4*X*Y^2, X^-1*Y^3*X^-1*Y^2*X^-2*Y*X^-9*Y*X^-3*Y ] Chiral map of genus 409 and type {48,144}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^6*X^3*Y^-4*X*Y^2, X^-1*Y*X^-8*Y^2*X^-3*Y*X^-2*Y*X^-11*Y^3*X^-1*Y^2*X^-2*Y*X^-8*Y ] Chiral map of genus 409 and type {48,144}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, Y^3*X*Y^-3*X^2*Y^-1*X*Y^5, X^-1*Y^3*X^-1*Y^2*X^-2*Y*X^-9*Y*X^-3*Y ] Chiral map of genus 409 and type {48,144}_72 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^6*X^-2*Y*X^-8*Y^3*X^-2*Y^2 ] Chiral map of genus 401 and type {54,54}_8 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, X^-4*Y^23*X^-2*Y^3*X^-2*Y^2*X^-8*Y^4*X^-1*Y^3*X^-1*Y ] Chiral map of genus 415 and type {96,96}_6 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^71*Y^-1*X*Y^-1*X^15*Y^-1*X*Y^-1*X*Y^-2*X ] Chiral map of genus 415 and type {96,96}_12 isomorphic to its dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^8*Y^-1*X^2*Y^-3*X*Y^-1*X^2*Y^-1*X^7*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X^11*Y^-1 ] Chiral map of genus 421 and type {96,288}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X*Y^-66*X^4*Y^-2*X^2*Y^-3*X^10*Y^-3*X*Y^-2*X^2 ] Chiral map of genus 421 and type {96,288}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1728 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^6*X^3*Y^-4*X*Y^2, Y^6*X^-4*Y^2*X^-3*Y*X^-2*Y*X^-11*Y^3*X^-1*Y^2*X^-2*Y*X^-9 ] .......................... Chiral maps with 866 edges .......................... Chiral map of genus 1 and type {4,4}_866 isomorphic to its dual Automorphism group of order 1732 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 868 edges .......................... Chiral map of genus 427 and type {217,217}_4 isomorphic to its mirror-dual Automorphism group of order 1736 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-51*X^15*Y^-1*X*Y^-144*X^2 ] .......................... Chiral maps with 870 edges .......................... Chiral map of genus 291 and type {12,12}_290 isomorphic to its dual Automorphism group of order 1740 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 291 and type {12,12}_290 isomorphic to its dual Automorphism group of order 1740 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y^2*X^-2 ] Chiral map of genus 407 and type {60,60}_58 isomorphic to its dual Automorphism group of order 1740 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, Y^-1*X*Y^-1*X^2*Y^-3*X*Y^-1*X^14*Y^-1*X*Y^-2*X^2 ] Chiral map of genus 431 and type {348,348}_10 isomorphic to its dual Automorphism group of order 1740 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^135*X^-1*Y*X^-2*Y^6*X^-17*Y*X^-3*Y^5*X^-1*Y ] .......................... Chiral maps with 872 edges .......................... Chiral map of genus 1 and type {4,4}_436 isomorphic to its dual Automorphism group of order 1744 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 219 and type {8,8}_218 isomorphic to its dual Automorphism group of order 1744 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-2*Y*X^-1*Y^-1*X*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 219 and type {8,8}_436 isomorphic to its dual Automorphism group of order 1744 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y*X^-1*Y^2*X^-2*Y^-2*X^2*Y^-2*X^-1*Y*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 873 edges .......................... Chiral map of genus 1 and type {3,6}_582 not isomorphic to its dual or mirror-dual Automorphism group of order 1746 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 292 and type {9,18}_194 not isomorphic to its dual or mirror-dual Automorphism group of order 1746 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X^-2*Y^3*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^2*X^-1*Y^-2 ] .......................... Chiral maps with 875 edges .......................... Chiral map of genus 346 and type {10,175}_350 not isomorphic to its dual or mirror-dual Automorphism group of order 1750 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^-18*X^2*Y^-2*X*Y*X^-1*Y^-14 ] Chiral map of genus 346 and type {10,175}_350 not isomorphic to its dual or mirror-dual Automorphism group of order 1750 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^-18*X^2*Y^-3*X*Y*X^-1*Y^-13 ] Chiral map of genus 421 and type {70,175}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1750 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^4*X*Y^-1*X^2*Y^-2*X*Y^3, Y*X^-3*Y*X^-4*Y*X^-1*Y^3*X^-7*Y^5*X^-1*Y^8 ] Chiral map of genus 421 and type {70,175}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 1750 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^5*X^3*Y^-3*X*Y^2, Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^3*Y^-2*X^8*Y^-3*X*Y^-1*X^4*Y^-1*X^3*Y^-1 ] .......................... Chiral maps with 876 edges .......................... Chiral map of genus 1 and type {3,6}_292 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 147 and type {4,12}_438 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y^-1*X*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X^2*Y^-1*X*Y^-1*X ] Chiral map of genus 220 and type {6,12}_292 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y^-1*X*Y*X^-1*Y^-2*X^-1*Y*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 220 and type {6,12}_292 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X^-2*Y^-3*X*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 293 and type {12,12}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-2*Y^2*X*Y^-1*X^2*Y^-1*X ] Chiral map of genus 293 and type {12,12}_146 isomorphic to its dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^-1*X ] Chiral map of genus 293 and type {12,12}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-1*X)^4, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1, Y^2*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 366 and type {24,24}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, (X^3*Y^-1)^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X*Y^-3*X^2*Y^-2*X*Y^-1*X ] Chiral map of genus 366 and type {24,24}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y^2*X^-1*Y*X^4*Y^-1*X^2*Y*X^-1*Y, Y*X*Y^-1*X^6*Y^-3*X*Y^-1*X*Y ] Chiral map of genus 366 and type {24,24}_146 not isomorphic to its dual or mirror-dual Automorphism group of order 1752 with defining relations: [ (X*Y)^2, X^7*Y^-1*X^2*Y^-2 ] .......................... Chiral maps with 880 edges .......................... Chiral map of genus 201 and type {4,44}_220 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^44 ] Chiral map of genus 211 and type {4,88}_440 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^22*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X*Y^16 ] Chiral map of genus 211 and type {4,88}_440 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^88 ] Chiral map of genus 177 and type {5,10}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, Y^-1*X^-2*Y^-5*X^2*Y*X^-1*Y^5*X ] Chiral map of genus 177 and type {5,10}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, X*Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^2*X^-2*Y^-1 ] Chiral map of genus 311 and type {8,44}_440 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^44 ] Chiral map of genus 311 and type {8,44}_440 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^44 ] Chiral map of genus 321 and type {8,88}_220 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^22*X^3*Y^-8*X*Y^14 ] Chiral map of genus 321 and type {8,88}_220 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^22*X^3*Y^-8*X*Y^14 ] Chiral map of genus 342 and type {10,80}_176 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^-6*X^-1*Y^2*X^2*Y*X^-1*Y^-7 ] Chiral map of genus 342 and type {10,80}_176 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1, X*Y^-3*X^-1*Y*X*Y^-3*X*Y*X^-1*Y^-6*X*Y^2 ] Chiral map of genus 342 and type {10,80}_176 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^10, Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-2, Y^-4*X^-1*Y^4*X^5*Y^-5*X*Y*X^-1*Y^-2 ] Chiral map of genus 342 and type {10,80}_176 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, Y^4*X*Y^-4*X^-2*Y^-3*X*Y^2*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 381 and type {16,176}_110 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^11*X^-1*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^6 ] Chiral map of genus 381 and type {16,176}_220 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^11*X^-1*Y^-6*X*Y*X^-1*Y^-1*X*Y^3 ] Chiral map of genus 353 and type {20,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-1*Y*X^-1*Y*X^3*Y^-2*X*Y^2, X^-4*Y*X^-8*Y^7 ] Chiral map of genus 353 and type {20,20}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^-1*Y*X^4*Y^-1*X*Y^3, X^-1*Y^4*X^-7*Y^3*X^-1*Y^3*X^-1 ] Chiral map of genus 375 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y*X^7*Y^2*X^-3*Y, Y^3*X^5*Y^-1*X*Y^4, X*Y^-2*X*Y^-1*X^9*Y^-1*X*Y^-2*X^2 ] Chiral map of genus 375 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, Y*X^7*Y^2*X^-3*Y, X^-3*Y^4*X^-6*Y*X^-2*Y^3*X^-1 ] Chiral map of genus 375 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, X^-4*Y*X^-2*Y*X^-4*Y^2*X^-1*Y^4*X^-1 ] Chiral map of genus 375 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^4*X^3*Y^-2*X*Y^2, Y^2*X^-11*Y*X^-2*Y*X^-3 ] Chiral map of genus 375 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^4*Y^-3*X^8*Y^-2*X*Y^-1*X ] Chiral map of genus 375 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^6*Y^3*X^-2, Y^4*X^3*Y^-1*X^2*Y*X^-1, Y^-2*X*Y^-1*X^9*Y^-1*X*Y^-2*X^3 ] Chiral map of genus 375 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y*X^7*Y*X^-1*Y^4, X*Y^-3*X*Y^-1*X^8*Y^-2*X^4 ] Chiral map of genus 375 and type {20,40}_88 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y^2*X^-1*Y*X^-2, X^-3*Y*X^-2*Y*X^-8*Y^2*X^-3 ] Chiral map of genus 386 and type {20,80}_176 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y*X^7*Y^2*X^-3*Y, Y^-1*X^-1*Y*X^5*Y^-6 ] Chiral map of genus 386 and type {20,80}_176 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y^2*X^-3*Y, Y*X*Y^-1*X^5*Y*X^-1*Y^3*X^-1, Y^-3*X^-1*Y*X^3*Y^-4*X^2 ] Chiral map of genus 386 and type {20,80}_176 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^-4*X^4*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 386 and type {20,80}_176 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^7*Y^2*X^-1*Y*X^-2, Y*X*Y^-2*X^4*Y^-4*X*Y ] Chiral map of genus 397 and type {40,40}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-1*Y*X^-1*Y*X^3*Y^-2*X*Y^2, Y*X^-2*Y*X^-1*Y*X^-6*Y^2*X^-3*Y*X^-2 ] Chiral map of genus 397 and type {40,40}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^-1*Y*X^4*Y^-1*X*Y^3, X^-1*Y^4*X^-7*Y*X^-3*Y^2*X^-1*Y ] Chiral map of genus 397 and type {40,40}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, Y*X^-3*Y*X^-2*Y*X^-2*Y*X^-2*Y*X^-2*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-11*Y*X^-3*Y ] Chiral map of genus 397 and type {40,40}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y^3*X^-2, Y*X^-2*Y^5*X^-1*Y^2*X^-1*Y^2*X^-1*Y^7*X^-2*Y*X^-12*Y^2*X^-1 ] Chiral map of genus 401 and type {44,44}_20 isomorphic to its dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X^-2*Y^3*X^-1*Y*X^-1*Y^3*X^-2*Y^6*X^-12*Y*X^-1*Y^3*X^-1*Y^7 ] Chiral map of genus 411 and type {44,88}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, Y^3*X^-2*Y^7*X^-1*Y^3*X^-2*Y^2*X^-2*Y*X^-1*Y*X^-1*Y*X^-5*Y^3*X^-4*Y^5 ] Chiral map of genus 411 and type {44,88}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^2*X^-1*Y^12*X^-1*Y^2*X^-1*Y^3*X^-2*Y^3*X^-6*Y^2*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 419 and type {80,80}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X^56*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-2*X^8*Y^-1*X^2*Y^-3 ] Chiral map of genus 419 and type {80,80}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^56*Y^-3*X*Y^-1*X^16*Y^-1*X ] Chiral map of genus 419 and type {80,80}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X^-1*Y^17*X^-4*Y^5*X^-8*Y*X^-3*Y ] Chiral map of genus 419 and type {80,80}_44 not isomorphic to its dual or mirror-dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y*X^6*Y^3*X^-2, X^-2*Y^4*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-2*Y^3*X^-9*Y^6 ] Chiral map of genus 421 and type {88,88}_20 isomorphic to its dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^3*X^-2*Y^6*X^-12*Y*X^-1*Y^3*X^-1*Y^5*X^-2 ] Chiral map of genus 421 and type {88,88}_20 isomorphic to its dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-48*Y^4*X^-1*Y^6*X^-1*Y^3*X^-11*Y*X^-1*Y^3*X^-1*Y^5*X^-1*Y ] Chiral map of genus 431 and type {176,176}_10 isomorphic to its dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^137*X^-1*Y*X^-2*Y^6*X^-17*Y*X^-3*Y^5*X^-2 ] Chiral map of genus 431 and type {176,176}_20 isomorphic to its dual Automorphism group of order 1760 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X^-1*Y^50*X^-1*Y*X^-1*Y^5*X^-1*Y^3*X^-11*Y*X^-1*Y^3*X^-1*Y^6*X^-1 ] .......................... Chiral maps with 882 edges .......................... Chiral map of genus 148 and type {6,6}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, Y^6, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, X*Y^-1*X^-3*Y^-3*X^3*Y*X^-2*Y^3*X ] Chiral map of genus 148 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, X*Y^-1*X^-2*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X^2*Y*X^-1*Y ] Chiral map of genus 148 and type {6,6}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, (X*Y^-2*X*Y^-1*X)^2, Y*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 148 and type {6,6}_294 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^-4*Y^-1*X^2*Y*X^-2*Y^-2*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-1*Y*X^2*Y^-1*X ] Chiral map of genus 148 and type {6,6}_294 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^-1*X^-1*Y*X^2*Y^2*X^-1*Y^-3*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 274 and type {6,42}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-3*X^2*Y*X^-1*Y^3, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, (X*Y^-1)^6, Y^2*X^2*Y^-1*X^-3*Y^-3*X*Y^2 ] Chiral map of genus 274 and type {6,42}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^42 ] Chiral map of genus 274 and type {6,42}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^42 ] Chiral map of genus 274 and type {6,42}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^3*X^-1, Y^-5*X^2*Y^-1*X^2*Y^-8 ] Chiral map of genus 274 and type {6,42}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-3*X^-1*Y*X*Y^-3*X^2*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 344 and type {18,18}_14 isomorphic to its dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y^3*X^-2, Y^-2*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-1, X*Y^-1*X^11*Y^-1*X^4 ] Chiral map of genus 344 and type {18,18}_14 isomorphic to its mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y^3*X^-2, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, X^18 ] Chiral map of genus 344 and type {18,18}_98 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^18, Y*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^2 ] Chiral map of genus 386 and type {18,126}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^2*X*Y^-2*X^-1*Y^3*X^-1*Y^-5*X*Y^2, X^18 ] Chiral map of genus 386 and type {18,126}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^2*Y^-1*X*Y^-1*X^3*Y*X^-1*Y*X^-2*Y*X^-1, X^18, Y^2*X*Y^-4*X^-1*Y*X^3*Y^-1*X*Y^6 ] Chiral map of genus 393 and type {36,36}_14 isomorphic to its mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y^3*X^4*Y*X^-1*Y^-1*X*Y, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1, X*Y^-1*X^13*Y^-1*X*Y^-1 ] Chiral map of genus 400 and type {42,42}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y, X^-2*Y^2*X^-1*Y^5*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-8*Y^2*X^-2*Y^5*X^-2*Y^5 ] Chiral map of genus 400 and type {42,42}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y^5, X^-1*Y^22*X^-2*Y^4*X^-11*Y^2 ] Chiral map of genus 428 and type {126,126}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1764 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^2*X^-85*Y*X^-1*Y*X^-1*Y*X^-1*Y^4*X^-1*Y*X^-1*Y^2*X^-10*Y*X^-1*Y^3*X^-1*Y*X^-2*Y^5 ] .......................... Chiral maps with 884 edges .......................... Chiral map of genus 1 and type {4,4}_442 isomorphic to its dual Automorphism group of order 1768 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 1 and type {4,4}_442 isomorphic to its dual Automorphism group of order 1768 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 205 and type {4,52}_442 not isomorphic to its dual or mirror-dual Automorphism group of order 1768 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2, Y^13*X^-3*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^6 ] Chiral map of genus 209 and type {4,68}_442 not isomorphic to its dual or mirror-dual Automorphism group of order 1768 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^17*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y*X^-1*Y^-1*X*Y^9 ] Chiral map of genus 409 and type {52,52}_34 isomorphic to its dual Automorphism group of order 1768 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, Y^-2*X^8*Y^-3*X*Y^-6*X*Y^-3*X*Y^-1*X^14*Y^-8*X*Y^-3 ] Chiral map of genus 417 and type {68,68}_26 isomorphic to its dual Automorphism group of order 1768 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^29*X^-4*Y^2*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-11*Y*X^-1*Y^3*X^-1*Y^5*X^-2 ] Chiral map of genus 426 and type {104,104}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1768 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X^-28*Y^3*X^-1*Y^3*X^-2*Y*X^-8*Y*X^-3*Y*X^-1 ] .......................... Chiral maps with 888 edges .......................... Chiral map of genus 75 and type {3,12}_296 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^-2*X*Y^-2 ] Chiral map of genus 149 and type {4,12}_444 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 149 and type {6,6}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X*Y*X^-1*Y^-2*X^3*Y*X^-2*Y^2*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-1*Y*X ] Chiral map of genus 223 and type {6,12}_296 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y^-1*X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-3*X^-1*Y^2*X^-2*Y^-1*X*Y^-2 ] Chiral map of genus 260 and type {6,24}_296 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^2*Y^-1*X^-2*Y*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 260 and type {6,24}_296 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-2*X^2*Y^-1*X^2*Y^-5, X*Y^-1*X*Y^-1*X*Y^-2*X*Y^-2*X^-2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 297 and type {8,24}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 297 and type {8,24}_444 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^2 ] Chiral map of genus 297 and type {12,12}_148 isomorphic to its dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-2*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 297 and type {12,12}_148 isomorphic to its dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 297 and type {12,12}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^12, X^2*Y^-1*X*Y^-1*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 297 and type {12,12}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, Y*X*Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1*X*Y ] Chiral map of genus 297 and type {12,12}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-1*X)^4, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1 ] Chiral map of genus 334 and type {12,24}_296 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^4*X*Y^-2*X*Y^6, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y^-1*X ] Chiral map of genus 334 and type {12,24}_296 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y^-3*X^4*Y*X^-2*Y^-2, Y^2*X^-1*Y*X^2*Y^-3*X*Y^-2*X^2*Y*X^-1*Y^2*X^-1*Y^-1*X*Y*X^-1*Y ] Chiral map of genus 371 and type {24,24}_74 isomorphic to its dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y^2*X^-1*Y*X^-1*Y*X^2*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, X^-2*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-4*Y*X^-1*Y*X^-1*Y^3 ] Chiral map of genus 371 and type {24,24}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-11*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 371 and type {24,24}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-3*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1, Y*X^-1*Y*X^-3*Y^2*X^-1*Y^2*X^-7*Y^3*X^-2*Y ] Chiral map of genus 371 and type {24,24}_148 isomorphic to its dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^2 ] Chiral map of genus 371 and type {24,24}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^-1*X^6*Y^-5, X^-1*Y*X^3*Y^-1*X*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^-2*X^-1*Y*X^-1 ] Chiral map of genus 371 and type {24,24}_148 not isomorphic to its dual or mirror-dual Automorphism group of order 1776 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-1*X^3*Y^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] .......................... Chiral maps with 889 edges .......................... Chiral map of genus 255 and type {7,14}_254 not isomorphic to its dual or mirror-dual Automorphism group of order 1778 with defining relations: [ (X*Y)^2, X^7, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^2*X^-1*Y^2*X^-2*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 255 and type {7,14}_254 not isomorphic to its dual or mirror-dual Automorphism group of order 1778 with defining relations: [ (X*Y)^2, X^7, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1 ] Chiral map of genus 255 and type {7,14}_254 not isomorphic to its dual or mirror-dual Automorphism group of order 1778 with defining relations: [ (X*Y)^2, X^7, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y ] .......................... Chiral maps with 890 edges .......................... Chiral map of genus 1 and type {4,4}_890 isomorphic to its dual Automorphism group of order 1780 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 1 and type {4,4}_890 isomorphic to its dual Automorphism group of order 1780 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 357 and type {20,20}_178 isomorphic to its dual Automorphism group of order 1780 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-3*X*Y^-1*X*Y^-2*X^8*Y^-1*X*Y^-1, X^-1*Y*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^2 ] Chiral map of genus 441 and type {356,356}_10 isomorphic to its dual Automorphism group of order 1780 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-1*Y^141*X^-1*Y^7*X^-17*Y*X^-3*Y^5*X^-1*Y ] .......................... Chiral maps with 891 edges .......................... Chiral map of genus 295 and type {6,297}_594 not isomorphic to its dual or mirror-dual Automorphism group of order 1782 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-50*X^3*Y*X^-1*Y^-48 ] Chiral map of genus 388 and type {18,99}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 1782 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^18, Y^-17*X^3*Y^4*X^-1*Y^-12 ] Chiral map of genus 430 and type {66,297}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1782 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-6*X^-1*Y^3*X^-2*Y^4*X^-1*Y^-5, Y^-7*X^12*Y^-3*X*Y^-1*X^4*Y^-2*X*Y^-2 ] Chiral map of genus 433 and type {99,198}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1782 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-1*Y^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y^-1*X^74*Y^-2*X*Y^-2*X^2*Y^-1*X^9*Y^-1*X*Y^-5 ] .......................... Chiral maps with 894 edges .......................... Chiral map of genus 299 and type {12,12}_298 isomorphic to its dual Automorphism group of order 1788 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y ] .......................... Chiral maps with 896 edges .......................... Chiral map of genus 217 and type {4,112}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, X^4, Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^2, Y^14*X^-1*Y^-5*X*Y*X^-1*Y^-1*X*Y^7 ] Chiral map of genus 329 and type {8,112}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^-1*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y^-1, X*Y^-4*X^2*Y^3*X^-1*Y^-1, Y^14*X^-1*Y^-5*X*Y^2*X^-2*Y^7 ] Chiral map of genus 333 and type {8,224}_224 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, X^8, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y^28*X^3*Y^-2*X*Y^26 ] Chiral map of genus 321 and type {14,14}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^14, Y^-2*X^6*Y^-4*X^2 ] Chiral map of genus 321 and type {14,14}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, X^14 ] Chiral map of genus 321 and type {14,14}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-2*Y^2, X^14, X^3*Y^-1*X^4*Y^-2*X^3*Y^-1 ] Chiral map of genus 321 and type {14,14}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^4*X^3*Y^-1*X^2*Y*X^-1, X^14, Y^-2*X^6*Y^-1*X*Y^-1*X*Y^-2, X^-2*Y*X^5*Y*X^-2*Y^-1*X*Y ] Chiral map of genus 321 and type {14,14}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, X^14 ] Chiral map of genus 377 and type {14,112}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^14, Y^4*X*Y^-2*X^-1*Y^2*X^-2*Y^8 ] Chiral map of genus 361 and type {16,28}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, X^-2*Y*X^3*Y^2*X^-1*Y, Y^28 ] Chiral map of genus 377 and type {16,56}_56 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X^3*Y*X^-2*Y^-1, Y^14*X^-2*Y^2*X^-1*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^7 ] Chiral map of genus 389 and type {16,224}_224 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^28*X^2*Y*X^-2*Y^27 ] Chiral map of genus 385 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y*X^-2*Y*X^-1*Y, X^-3*Y*X^-1*Y^2*X^-1*Y*X^-2*Y^5*X^-7*Y*X^-4 ] Chiral map of genus 385 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y^-1*X^7*Y^-1*X*Y^-1*X^3 ] Chiral map of genus 385 and type {28,28}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y*X^-1*Y*X^-3, X^-3*Y*X^-1*Y*X^-4*Y^2*X^-11*Y^3*X^-2 ] Chiral map of genus 401 and type {28,56}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y*X*Y^-2*X^3*Y^5, Y*X^-1*Y^2*X^-3*Y^2*X^-2*Y*X^-8*Y*X^-1*Y^4*X^-1*Y ] Chiral map of genus 401 and type {28,56}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^6*Y^3*X^-2, Y*X^2*Y^-1*X^3*Y^4*X^-1, X^-2*Y*X^-1*Y^2*X^-1*Y^3*X^-12*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 409 and type {28,112}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-12*Y^4*X^-2 ] Chiral map of genus 409 and type {28,112}_16 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^2*Y^-2*X^4*Y^-6 ] Chiral map of genus 405 and type {32,56}_224 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1, Y*X*Y^-1*X^4*Y^2*X^-3, X*Y^-1*X^-13*Y^-1*X^2, Y^14*X^-3*Y^-1*X*Y^4*X*Y^-3*X^-3*Y^6 ] Chiral map of genus 413 and type {32,112}_224 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, X^-1*Y*X^12*Y*X^-2*Y^-2*X^-1, Y^14*X^5*Y^-2*X*Y*X^-1*Y^-1*X*Y^10 ] Chiral map of genus 417 and type {56,56}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y^2*X^-1*Y*X^-2, Y*X^-4*Y*X^-1*Y^2*X^-2*Y^2*X^-9*Y*X^-2*Y*X^-2 ] Chiral map of genus 417 and type {56,56}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-2*Y^2, X^-5*Y^34*X^-3*Y*X^-12*Y ] Chiral map of genus 425 and type {56,112}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^2*X^-1*Y*X^-1*Y^2*X^-3*Y^2*X^-1*Y*X^-1*Y*X^-8*Y^2*X^-1*Y ] Chiral map of genus 429 and type {56,224}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, Y*X^-1*Y*X^-1*Y^8*X^-1*Y*X^-2*Y*X^-9*Y*X^-13*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 433 and type {112,112}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^3*X^-2, X^-2*Y*X^-37*Y*X^-10*Y*X^-2*Y*X^-1 ] Chiral map of genus 433 and type {112,112}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^90*X^-2*Y*X^-12*Y^3 ] Chiral map of genus 437 and type {112,224}_32 not isomorphic to its dual or mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^4*X^3*Y^-2*X*Y^2, Y*X^-1*Y^10*X^-1*Y*X^-2*Y*X^-1*Y*X^-3*Y*X^-3*Y*X^-13*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2 ] Chiral map of genus 441 and type {224,224}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^90*X^-2*Y*X^-11*Y*X^-1*Y*X^-1 ] Chiral map of genus 441 and type {224,224}_4 isomorphic to its mirror-dual Automorphism group of order 1792 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^148*X^-1*Y*X^-15*Y^55*X^-1*Y ] .......................... Chiral maps with 897 edges .......................... Chiral map of genus 287 and type {6,69}_598 not isomorphic to its dual or mirror-dual Automorphism group of order 1794 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X^-2*Y^-2*X^2*Y^-1*X^-2*Y*X^3*Y*X^-1*Y*X^-2*Y*X^-2, Y^11*X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^2*Y^-6*X*Y^3 ] Chiral map of genus 430 and type {69,138}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1794 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X^-1*Y*X^-2*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y^2*X^-2*Y*X^-1*Y*X^-1*Y*X^-2*Y^2*X^-13*Y^3*X^-3*Y^2*X^-1*Y^5*X^-1 ] .......................... Chiral maps with 898 edges .......................... Chiral map of genus 1 and type {4,4}_898 isomorphic to its dual Automorphism group of order 1796 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 900 edges .......................... Chiral map of genus 1 and type {4,4}_150 isomorphic to its dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 181 and type {4,20}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y^-3*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 201 and type {4,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y*X^-1*Y^2*X^-1, Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-2*X*Y*X^-1*Y^2, Y^3*X*Y^-5*X^-1*Y*X^-1*Y^-8*X*Y ] Chiral map of genus 201 and type {4,36}_450 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-1, Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-1*X^2*Y^-2*X*Y^6*X^-1*Y^-2 ] Chiral map of genus 221 and type {4,180}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^45*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^42 ] Chiral map of genus 226 and type {8,8}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y^-3*X*Y^-4*X^4*Y^4*X*Y^-2*X ] Chiral map of genus 301 and type {12,12}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, X^-1*Y^2*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y^3*X^-1*Y*X^2*Y^-3*X*Y ] Chiral map of genus 301 and type {12,12}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, X^12, (Y^-1*X^2*Y^-1)^3, Y^12, X*Y^-4*X^3*Y^3*X^-2*Y^-1 ] Chiral map of genus 301 and type {12,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^-1*X^2*Y^-1*X^3*Y^-3*X*Y^-1, Y*X^-2*Y*X^3*Y^-2*X*Y^2 ] Chiral map of genus 301 and type {12,12}_150 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, X^12, X^2*Y^-1*X^4*Y^-3*X^2, Y*X^-1*Y^2*X*Y^-1*X^-3*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 301 and type {12,12}_150 isomorphic to its dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^12, Y^-2*X^-1*Y^2*X*Y^-1*X*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y^2*X ] Chiral map of genus 361 and type {12,60}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^-2*X^2*Y^-2*X^3*Y*X^-1*Y^-5 ] Chiral map of genus 361 and type {12,60}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^15*X^-1*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^10 ] Chiral map of genus 361 and type {12,60}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^15*X^3*Y^-2*X*Y*X^-1*Y^-5*X*Y^7 ] Chiral map of genus 361 and type {20,20}_30 isomorphic to its dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-3*X*Y^-1*X*Y^-2*X^8*Y^-1*X*Y^-1, X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2*X^-2*Y*X^-1*Y ] Chiral map of genus 381 and type {20,36}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^20, Y^-4*X^-1*Y^2*X*Y^-2*X^-1*Y*X^5*Y^-2*X*Y*X^-3*Y^-6 ] Chiral map of genus 401 and type {20,180}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^-2*Y*X^-2*Y^2*X^-7*Y*X^-2*Y^2*X^-1, Y^-5*X^-1*Y*X^-2*Y^6*X^-1*Y^-6 ] Chiral map of genus 401 and type {36,36}_10 isomorphic to its dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^-2*Y*X^3*Y^-2*X*Y^2, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y^-3, Y^5*X^-1*Y*X^-5*Y^2*X^-2*Y^2*X^-3*Y*X^-7*Y*X^-4*Y^2 ] Chiral map of genus 401 and type {36,36}_50 isomorphic to its dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y*X^-1*Y^7*X^-14*Y*X^-1*Y^3*X^-1*Y^5*X^-1*Y ] Chiral map of genus 421 and type {36,180}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-2*X^2*Y^-1*X*Y^4, X^10*Y^-1*X*Y^-1*X^10*Y^-2*X*Y^-3*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 421 and type {60,60}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^-3*Y^35*X^-3*Y^3*X^-1*Y*X^-9*Y^2*X^-2 ] Chiral map of genus 421 and type {60,60}_30 isomorphic to its dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X*Y^-3*X^5*Y^-1*X^2*Y^-2*X*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 426 and type {72,72}_10 isomorphic to its mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y^3*X^-8*Y^5*X^-2*Y^2*X^-8*Y*X^-3*Y*X^-2*Y ] Chiral map of genus 426 and type {72,72}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X^2*Y^-3*X*Y^-1*X^3*Y^-2*X^7*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 441 and type {180,180}_10 isomorphic to its dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^141*X^-1*Y*X^-2*Y^7*X^-17*Y*X^-3*Y^5*X^-1*Y ] Chiral map of genus 442 and type {200,200}_6 isomorphic to its dual Automorphism group of order 1800 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^75*Y^-1*X*Y^-1*X^18*Y^-1*X^3 ] .......................... Chiral maps with 902 edges .......................... Chiral map of genus 411 and type {44,44}_82 isomorphic to its dual Automorphism group of order 1804 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1, Y^-1*X*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-3*X*Y^-1*X^3 ] .......................... Chiral maps with 903 edges .......................... Chiral map of genus 1 and type {3,6}_602 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 1 and type {3,6}_602 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y ] Chiral map of genus 259 and type {6,21}_602 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^2*X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-2*X^-1*Y ] Chiral map of genus 295 and type {6,129}_602 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-22*X^3*Y*X^-1*Y^-5*X^2*Y^-15 ] Chiral map of genus 345 and type {14,21}_258 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, X^-7*Y^-1*X*Y^2 ] Chiral map of genus 345 and type {14,21}_258 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^-3*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 345 and type {14,21}_258 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y^-4*X^-2*Y^-1*X*Y^-2*X ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, X^2*Y^-1*X^2*Y^-1*X*Y^-4*X^4*Y^-3*X*Y^-1*X ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-1*X^-1*Y^3*X^2*Y*X^-1*Y^-3, X*Y^-7*X^5*Y^-1*X*Y^-1*X^4*Y^-1 ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X^2*Y^-2*X^2*Y*X^-1*Y^2*X^-1, X*Y^-4*X*Y^-1*X^6*Y^-4*X^3*Y^-1 ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^2*Y^-3*X*Y^-1*X*Y^-1*X^6*Y^-1*X*Y^-4 ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-1*Y*X^-17*Y*X^-1, Y^-1*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-2 ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X*Y^-1*X^5*Y^6, Y^-1*X^-4*Y*X^-1*Y*X^-1*Y^-3*X^4, Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X^7*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, X^-2*Y^2*X^3*Y^-2*X*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X^5*Y^2*X^-1*Y*X^-1*Y^-1, Y^-1*X^2*Y^-2*X*Y^-1*X^8*Y^-6 ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-4*X^2*Y*X^-1*Y^4, Y^-1*X*Y^-3*X*Y^-2*X^7*Y^-3*X*Y^-1*X ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y*X^-3*Y^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y*X^-1*Y^2*X^-2, X^3*Y^-2*X*Y^-1*X^8*Y^-1*X^2*Y^-2*X ] Chiral map of genus 388 and type {21,42}_86 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, X^-1*Y^2*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y^4*X^-1*Y*X^-1*Y^2*X^-6*Y*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 442 and type {129,258}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1806 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, Y^90*X^-4*Y*X^-1*Y^4*X^-2*Y^3*X^-10*Y*X^-1*Y*X^-4*Y*X^-2*Y^3*X^-1 ] .......................... Chiral maps with 904 edges .......................... Chiral map of genus 1 and type {4,4}_452 isomorphic to its dual Automorphism group of order 1808 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 227 and type {8,8}_226 not isomorphic to its dual or mirror-dual Automorphism group of order 1808 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X^-1*Y^2*X*Y^-1*X^-4*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 227 and type {8,8}_226 isomorphic to its dual Automorphism group of order 1808 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 227 and type {8,8}_452 isomorphic to its dual Automorphism group of order 1808 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 340 and type {16,16}_226 not isomorphic to its dual or mirror-dual Automorphism group of order 1808 with defining relations: [ (X*Y)^2, Y^-4*X^3*Y^-1*X*Y*X^-1*Y^-1, Y*X^-2*Y*X^3*Y^-1*X^2*Y*X^-1 ] Chiral map of genus 340 and type {16,16}_226 not isomorphic to its dual or mirror-dual Automorphism group of order 1808 with defining relations: [ (X*Y)^2, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] .......................... Chiral maps with 905 edges .......................... Chiral map of genus 182 and type {5,10}_362 not isomorphic to its dual or mirror-dual Automorphism group of order 1810 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 182 and type {5,10}_362 not isomorphic to its dual or mirror-dual Automorphism group of order 1810 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^5*X^-2*Y^-1 ] .......................... Chiral maps with 906 edges .......................... Chiral map of genus 152 and type {6,6}_302 not isomorphic to its dual or mirror-dual Automorphism group of order 1812 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-2*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-1 ] .......................... Chiral maps with 910 edges .......................... Chiral map of genus 391 and type {28,28}_130 isomorphic to its dual Automorphism group of order 1820 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^2*Y^2*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2 ] Chiral map of genus 391 and type {28,28}_130 isomorphic to its dual Automorphism group of order 1820 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 443 and type {140,140}_26 isomorphic to its dual Automorphism group of order 1820 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-1*X*Y^-1*X*Y^-25*X^3*Y^-5*X*Y^-3*X*Y^-1*X^14*Y^-8*X*Y^-3*X ] Chiral map of genus 451 and type {364,364}_10 isomorphic to its dual Automorphism group of order 1820 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^143*X^-1*Y*X^-2*Y^7*X^-17*Y*X^-3*Y^4*X^-2*Y ] .......................... Chiral maps with 912 edges .......................... Chiral map of genus 1 and type {3,6}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 153 and type {6,6}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^2*Y^3*X^-1, X*Y*X^-1*Y*X^-1*Y*X^-2*Y*X*Y^-1*X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X ] Chiral map of genus 229 and type {6,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^-2*Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y^-1 ] Chiral map of genus 229 and type {6,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-3*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 229 and type {6,12}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X*Y^3, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y*X^-1*Y*X^-2*Y*X^-1*Y*X^-2*Y*X^2*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-2*Y*X^-2*Y*X^-1*Y*X ] Chiral map of genus 229 and type {6,12}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, (X*Y^-5)^2, Y^-1*X^-1*Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^-2 ] Chiral map of genus 286 and type {6,48}_304 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^4*X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-4*X*Y^4 ] Chiral map of genus 286 and type {6,48}_304 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-1*X*Y^-2*X*Y^-2*X^2*Y*X^-1*Y^-2*X*Y^-2, Y^2*X*Y^-1*X^-1*Y^4*X*Y^-1*X^-1*Y^8 ] Chiral map of genus 305 and type {12,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X*Y*X^-2*Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X^2*Y^-1*X ] Chiral map of genus 305 and type {12,12}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-2*X^5*Y^-3*X*Y^-1, Y^12, X^2*Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 305 and type {12,12}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^12, Y^-1*X^6*Y^-5, X^-1*Y*X^-2*Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-2 ] Chiral map of genus 343 and type {12,24}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-1*X*Y^-2*X, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-5*X*Y^6, X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 343 and type {12,24}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-1*Y*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 343 and type {12,24}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^12, Y^-1*X*Y^-2*X*Y^-2*X^2*Y*X^-1*Y^-2*X*Y^-2 ] Chiral map of genus 343 and type {12,24}_152 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y^-2*X^2*Y^-1*X^2*Y^-5, Y^-1*X*Y^-2*X*Y^-2*X^2*Y*X^-1*Y^-2*X*Y^-2 ] Chiral map of genus 362 and type {12,48}_304 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-1*Y*X^-2*Y*X^-3*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 362 and type {12,48}_304 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, Y*X^-2*Y*X^4*Y^6, Y^-1*X*Y^-2*X*Y^-2*X^2*Y*X^-1*Y^-2*X*Y^-2 ] Chiral map of genus 381 and type {24,24}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, X^7*Y^-2*X*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, (X*Y^-3*X^2)^2, X^2*Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 381 and type {24,24}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-5*X*Y^6, Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y*X^-1, X^-1*Y^2*X^-1*Y^3*X^-12*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 419 and type {48,48}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y*X^-1, X^-13*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-11*Y^3*X^-1*Y*X^-1*Y^2*X^-1*Y^4 ] Chiral map of genus 419 and type {48,48}_76 not isomorphic to its dual or mirror-dual Automorphism group of order 1824 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-5*X*Y^6, Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1*Y*X^-1, Y*X^-1*Y*X^-1*Y^3*X^-10*Y*X^-4*Y^2 ] .......................... Chiral maps with 914 edges .......................... Chiral map of genus 1 and type {4,4}_914 isomorphic to its dual Automorphism group of order 1828 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 915 edges .......................... Chiral map of genus 245 and type {6,15}_610 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, Y*X^2*Y^2*X^-2*Y*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-2 ] Chiral map of genus 306 and type {10,15}_366 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, X^-2*Y*X^-4*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 306 and type {10,15}_366 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 367 and type {15,30}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^3*Y^-1*X^3*Y^2*X^-1*Y*X^-1*Y, Y*X*Y^-1*X*Y^-1*X^3*Y*X^-2*Y*X^-1*Y, X^-15 ] Chiral map of genus 367 and type {15,30}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X^5*Y^-1*X*Y*X^-3, Y*X*Y^-1*X*Y^-1*X^3*Y^4*X^-1*Y, X^-15 ] Chiral map of genus 367 and type {15,30}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, X^-15 ] Chiral map of genus 367 and type {15,30}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^3*Y^-1*X^3*Y^2*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y*X*Y^-1*X^3*Y*X^-2*Y*X^-1*Y^-1, X^-15 ] Chiral map of genus 367 and type {15,30}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-3*X^-1*Y*X*Y^-1*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y*X^-1*Y^3*X^-1*Y ] Chiral map of genus 367 and type {15,30}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X^2*Y*X^-1*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^5*Y^3*X^-2*Y, X^-15 ] Chiral map of genus 367 and type {15,30}_122 not isomorphic to its dual or mirror-dual Automorphism group of order 1830 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X*Y^-2*X^-3*Y^-3, Y*X^-2*Y*X^4*Y^-1*X^2*Y*X^-2, X^-15 ] .......................... Chiral maps with 916 edges .......................... Chiral map of genus 1 and type {4,4}_458 isomorphic to its dual Automorphism group of order 1832 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] .......................... Chiral maps with 918 edges .......................... Chiral map of genus 154 and type {4,12}_102 not isomorphic to its dual or mirror-dual Automorphism group of order 1836 with defining relations: [ (X*Y)^2, X^4, Y*X*Y^-3*X*Y^4, Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-1*X*Y, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 304 and type {6,306}_306 not isomorphic to its dual or mirror-dual Automorphism group of order 1836 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^51*X^3*Y^-7*X*Y^44 ] Chiral map of genus 307 and type {12,12}_102 isomorphic to its dual Automorphism group of order 1836 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 307 and type {12,12}_102 isomorphic to its dual Automorphism group of order 1836 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, X^2*Y^-1*X^3*Y^2*X^-1*Y^-1, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y^2*X^-2*Y^2*X*Y^-1*X*Y^-1 ] Chiral map of genus 400 and type {18,102}_306 not isomorphic to its dual or mirror-dual Automorphism group of order 1836 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^17*X*Y^-3*X^2*Y^-3*X*Y^11 ] Chiral map of genus 448 and type {102,306}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1836 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, X*Y^-73*X^2*Y^-1*X*Y^-3*X*Y^-1*X^12*Y^-3*X*Y^-3 ] Chiral map of genus 443 and type {108,108}_34 isomorphic to its dual Automorphism group of order 1836 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X*Y^-13*X^2*Y^-1*X*Y^-5*X*Y^-3*X*Y^-1*X^12*Y^-7*X*Y^-1*X*Y^-2*X ] .......................... Chiral maps with 920 edges .......................... Chiral map of genus 221 and type {4,92}_460 not isomorphic to its dual or mirror-dual Automorphism group of order 1840 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^92 ] Chiral map of genus 341 and type {8,184}_230 not isomorphic to its dual or mirror-dual Automorphism group of order 1840 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^23*X^-1*Y^-2*X*Y^5*X^-1*Y^-1*X*Y^15 ] Chiral map of genus 341 and type {8,184}_460 not isomorphic to its dual or mirror-dual Automorphism group of order 1840 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^23*X^-1*Y^-2*X^2*Y^-6*X*Y^15 ] Chiral map of genus 441 and type {92,92}_20 isomorphic to its dual Automorphism group of order 1840 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-2*X^48*Y^-3*X*Y^-6*X*Y^-3*X*Y^-1*X^12*Y^-7*X*Y^-1*X*Y^-3*X ] Chiral map of genus 451 and type {184,184}_10 isomorphic to its dual Automorphism group of order 1840 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^147*X^-1*Y^8*X^-17*Y*X^-3*Y^5*X^-1*Y ] Chiral map of genus 451 and type {184,184}_20 isomorphic to its dual Automorphism group of order 1840 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y^-1*X^51*Y^-3*X*Y^-1*X*Y^-7*X^13*Y^-3*X*Y^-6*X^3*Y^-1 ] .......................... Chiral maps with 921 edges .......................... Chiral map of genus 1 and type {3,6}_614 not isomorphic to its dual or mirror-dual Automorphism group of order 1842 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 922 edges .......................... Chiral map of genus 1 and type {4,4}_922 isomorphic to its dual Automorphism group of order 1844 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] .......................... Chiral maps with 924 edges .......................... Chiral map of genus 281 and type {6,33}_308 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^2*Y^-2*X^-1*Y*X^-2*Y*X^2*Y^-1*X^-2*Y*X^-2*Y^6*X^-1*Y^-1 ] Chiral map of genus 302 and type {6,132}_308 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^22*X^3*Y^-7*X*Y*X^-1*Y^-1*X*Y^13 ] Chiral map of genus 302 and type {6,132}_308 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^22*X*Y^-1*X^2*Y^-1*X*Y^20 ] Chiral map of genus 372 and type {12,66}_308 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1*X^2, Y^11*X^2*Y*X^-1*Y^-2*X*Y^2*X^-2*Y^6 ] Chiral map of genus 372 and type {12,66}_308 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, X*Y^-2*X^4*Y^-1*X*Y^-3, Y^11*X^2*Y^4*X^-1*Y^-2*X^-1*Y^5 ] Chiral map of genus 379 and type {12,132}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^-1*X^2*Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1*X^2, Y^11*X^2*Y*X^-2*Y*X^-2*Y^9 ] Chiral map of genus 379 and type {12,132}_154 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X*Y^-1*X^4*Y^-2*X*Y^-2, Y^11*X*Y^-1*X*Y*X^-1*Y^-3*X*Y^6 ] Chiral map of genus 421 and type {33,66}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-1*X*Y^-3*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2, Y^-6*X*Y^-1*X^16*Y^-2*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 442 and type {66,132}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-3*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-3*X^5*Y^-1*X^11*Y^-3*X*Y^-2 ] Chiral map of genus 442 and type {66,132}_28 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y^34*X^-3*Y*X^-3*Y^5*X^-8*Y*X^-4*Y*X^-2*Y^4 ] Chiral map of genus 449 and type {132,132}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X*Y^-1*X*Y^-89*X^3*Y^-1*X^2*Y^-2*X*Y^-1*X*Y^-3*X^11*Y^-1*X*Y^-2*X^3*Y^-2*X*Y^-1*X^3*Y^-1 ] Chiral map of genus 455 and type {231,231}_4 isomorphic to its mirror-dual Automorphism group of order 1848 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-58*X^15*Y^-1*X*Y^-151*X^2 ] .......................... Chiral maps with 927 edges .......................... Chiral map of genus 1 and type {3,6}_618 not isomorphic to its dual or mirror-dual Automorphism group of order 1854 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^-2*X*Y^-3*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] Chiral map of genus 310 and type {9,18}_206 not isomorphic to its dual or mirror-dual Automorphism group of order 1854 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2*X^-1*Y ] .......................... Chiral maps with 928 edges .......................... Chiral map of genus 1 and type {4,4}_232 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 117 and type {4,8}_116 not isomorphic to its dual or mirror-dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^2*Y^2*X*Y^-1 ] Chiral map of genus 117 and type {4,8}_232 not isomorphic to its dual or mirror-dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-2*X^2*Y^-2*X^2*Y^2*X*Y^-1 ] Chiral map of genus 175 and type {4,16}_464 not isomorphic to its dual or mirror-dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, X*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 175 and type {4,16}_464 not isomorphic to its dual or mirror-dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^16, Y^-1*X*Y^3*X*Y^-1*X*Y^-1*X*Y^-2*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^-2*X^2 ] Chiral map of genus 233 and type {8,8}_116 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X*Y^-1 ] Chiral map of genus 233 and type {8,8}_232 not isomorphic to its dual or mirror-dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-2*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 233 and type {8,8}_232 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X^-1*Y*X^2*Y^-2*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 233 and type {8,8}_232 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y*X^-1*Y^2*X^2*Y^-1*X*Y^-2*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 233 and type {8,8}_232 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X*Y^-1 ] Chiral map of genus 291 and type {8,16}_464 not isomorphic to its dual or mirror-dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 291 and type {8,16}_464 not isomorphic to its dual or mirror-dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-3*X^4*Y^-5, X*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 349 and type {16,16}_116 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^2 ] Chiral map of genus 349 and type {16,16}_116 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y^2*X^-1*Y ] Chiral map of genus 349 and type {16,16}_232 not isomorphic to its dual or mirror-dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, Y^-1*X^4*Y^-3, Y^-1*X^2*Y^-1*X^3*Y*X^-1*Y^-1*X^2, Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 407 and type {32,32}_58 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y^-2*X^-2*Y^2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1, X*Y^-8*X^14*Y^-8*X ] Chiral map of genus 407 and type {32,32}_116 isomorphic to its dual Automorphism group of order 1856 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^2*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 930 edges .......................... Chiral map of genus 280 and type {6,30}_310 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^2*X^-2*Y*X^-2*Y*X^-3*Y^-1*X^2*Y^-1*X^2*Y^-4 ] Chiral map of genus 280 and type {6,30}_310 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1, X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 342 and type {10,30}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 342 and type {10,30}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-3*Y^3*X^-1*Y^-1 ] Chiral map of genus 342 and type {10,30}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, X^10, (X*Y^-3*X)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-2*X^4*Y^4*X^-1*Y ] Chiral map of genus 342 and type {10,30}_186 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, X^10, (X*Y^-3*X)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2 ] Chiral map of genus 404 and type {30,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-3*Y^-1*X, Y^-3*X*Y^-1*X*Y^-1*X*Y^-2*X^11*Y^-2*X*Y^-1*X*Y^-4 ] Chiral map of genus 404 and type {30,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, X^-2*Y*X^3*Y*X^-1*Y^-2, Y*X*Y^-4*X*Y^5, X^-1*Y*X^-1*Y*X^-2*Y^2*X^-1*Y*X^-4*Y*X^-2*Y*X^-6*Y^4*X^-1*Y ] Chiral map of genus 404 and type {30,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y*X*Y^-4*X*Y^5, X^-1*Y*X^-1*Y^2*X^-1*Y*X^-5*Y^6*X^-6*Y^2*X^-2*Y^2 ] Chiral map of genus 404 and type {30,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, Y*X^6*Y^3*X^-2, Y^3*X^4*Y^-1*X*Y*X^-1*Y, Y^8*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-9*Y^5 ] Chiral map of genus 404 and type {30,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X^3*Y^-1*X^3*Y*X^-2*Y^3, X*Y^-3*X^3*Y^-2*X*Y^-1*X*Y^-1*X^2*Y^-1*X^4*Y^-2*X*Y^-1*X*Y^-2*X^2*Y^-1 ] Chiral map of genus 404 and type {30,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y^2*X^3*Y*X^-1*Y^-3, Y*X^7*Y*X^-1*Y^4, Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1*X^10*Y^-2*X^2*Y^-1 ] Chiral map of genus 404 and type {30,30}_62 not isomorphic to its dual or mirror-dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y, X^3*Y^-4*X^3*Y^-1*X^3*Y^-1*X^6*Y^-1*X*Y^-4*X^2*Y^-1 ] Chiral map of genus 461 and type {372,372}_10 isomorphic to its dual Automorphism group of order 1860 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, Y^149*X^-1*Y^8*X^-17*Y*X^-3*Y^4*X^-2*Y ] .......................... Chiral maps with 932 edges .......................... Chiral map of genus 1 and type {4,4}_466 isomorphic to its dual Automorphism group of order 1864 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 234 and type {8,8}_466 not isomorphic to its dual or mirror-dual Automorphism group of order 1864 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, Y*X^-1*Y^-4*X*Y^-1*X^4*Y*X^-1*Y^2 ] .......................... Chiral maps with 935 edges .......................... Chiral map of genus 364 and type {10,85}_374 not isomorphic to its dual or mirror-dual Automorphism group of order 1870 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y^2*X*Y^-6*X^-3*Y*X^-1*Y^-6*X*Y^2 ] Chiral map of genus 364 and type {10,85}_374 not isomorphic to its dual or mirror-dual Automorphism group of order 1870 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1, Y^-7*X^2*Y^-1*X*Y^2*X^-1*Y^-7 ] Chiral map of genus 452 and type {85,170}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1870 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, X^-2*Y*X^3*Y^-1*X*Y^2, X*Y^-60*X*Y^-3*X^15*Y^-2*X*Y^-1*X ] Chiral map of genus 452 and type {85,170}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1870 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^2*Y*X^-1*Y^2, X^3*Y^-2*X^57*Y^-6*X^2*Y^-1*X^8*Y^-4*X*Y^-1 ] .......................... Chiral maps with 936 edges .......................... Chiral map of genus 79 and type {3,12}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^3, (X*Y^-5)^2, Y*X^-1*Y^3*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^2*X^-1*Y ] Chiral map of genus 118 and type {3,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^3, Y*X*Y^-2*X^-1*Y^4*X^2*Y^-2*X*Y^5, (X*Y^-5*X*Y^-2)^2, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 1 and type {4,4}_156 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 157 and type {4,12}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^12, X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 209 and type {4,36}_468 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^36 ] Chiral map of genus 226 and type {4,104}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^2*X^-1*Y*X*Y^-1*X^-1*Y^2*X^-1*Y^2, Y^26*X*Y^-1*X*Y*X^-1*Y^-3*X*Y^21 ] Chiral map of genus 157 and type {6,6}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, Y^6, X^-1*Y^-3*X^3*Y^3*X^-2, X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y, X^-1*Y*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y*X^-2*Y*X^-2*Y*X^-1 ] Chiral map of genus 157 and type {6,6}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X*Y^-1*X^-2*Y*X^-2*Y*X^3*Y*X^-2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 235 and type {6,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, Y^-2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y^-1, (X*Y^-2*X*Y^-1*X)^2, Y*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^2, Y^12, X*Y^-2*X^-1*Y*X^-2*Y^-1*X^2*Y*X^-2*Y^-1 ] Chiral map of genus 235 and type {6,12}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^12, Y^-2*X*Y^-4*X^-2*Y^-4*X*Y^-2, Y^-1*X*Y^-1*X^-1*Y*X*Y^-2*X^-1*Y^2*X*Y^-1*X*Y*X^-1*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 235 and type {6,12}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-4*X^3*Y^-2, Y^-1*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 274 and type {6,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1*X)^2, Y^-7*X^3*Y^-5, (Y^2*X^-1*Y^2)^3, Y^-1*X*Y^-1*X^-1*Y*X*Y^-2*X^-1*Y^2*X*Y^-1*X*Y*X^-1*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 274 and type {6,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y*X*Y^-1*X^2*Y^-1*X^-3*Y^4*X^-2*Y ] Chiral map of genus 274 and type {6,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^-2*X^2*Y^-1*X^2*Y^-5, Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^3*X*Y^-1 ] Chiral map of genus 274 and type {6,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X^-2*Y^-2*X^2*Y^-1*X^-2*Y*X^3*Y*X^-1*Y*X^-2*Y*X^-2, Y^24 ] Chiral map of genus 274 and type {6,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^6, X^-1*Y*X^-2*Y*X^3*Y*X^-2*Y, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, X*Y^-3*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2, Y^24 ] Chiral map of genus 235 and type {8,8}_78 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^3*Y^-1*X^-2*Y^4*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y ] Chiral map of genus 235 and type {8,8}_78 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^3*Y^-1*X^-2*Y^4*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X*Y^-1*X*Y^-2*X^3*Y^-1*X*Y^-2*X*Y^-1*X ] Chiral map of genus 235 and type {8,8}_78 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 235 and type {8,8}_156 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 334 and type {8,52}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-4*Y^-1*X*Y^-1, Y^13*X^-2*Y*X^-1*Y^-2*X*Y*X^-1*Y^-1*X*Y^8 ] Chiral map of genus 339 and type {8,72}_234 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2, Y^-2*X^-1*Y^6*X*Y^-2*X^-2*Y^-1*X*Y^6*X^-1*Y^-1 ] Chiral map of genus 339 and type {8,72}_468 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2, Y^2*X*Y^-6*X^2*Y^-2*X^-1*Y*X^-1*Y^-6*X*Y ] Chiral map of genus 343 and type {8,104}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-3*Y^-1*X^3*Y^-1, Y^13*X*Y^-3*X^3*Y^10 ] Chiral map of genus 339 and type {9,36}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^-5*X^-2*Y^-5*X, X*Y^-2*X^-1*Y*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 313 and type {12,12}_156 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^12, X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y^-2 ] Chiral map of genus 313 and type {12,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^12, X*Y^-1*X^-2*Y^2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 313 and type {12,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y^12, X^-2*Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 313 and type {12,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^12, (X*Y^-1*X^4)^2, Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 313 and type {12,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^12, X^2*Y^-1*X^4*Y^-1*X*Y^-2*X, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^12 ] Chiral map of genus 313 and type {12,12}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^12, X^2*Y^-1*X^4*Y^-1*X*Y^-2*X, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, (X*Y^-1*X)^4 ] Chiral map of genus 352 and type {12,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-1*X^2*Y ] Chiral map of genus 352 and type {12,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X*Y^-2*X^3*Y*X^-1*Y^-1*X, Y^-3*X^4*Y*X^-2*Y^-2, X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-3*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 352 and type {12,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, Y^4*X*Y^-2*X*Y^6, X*Y^-1*X*Y^-1*X^-2*Y*X^-3*Y*X^-2*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X ] Chiral map of genus 352 and type {12,24}_312 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^-1*Y^2*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^2, X*Y^-1*X^2*Y^-4*X^-1*Y^2*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 365 and type {18,18}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^18, X^-2*Y*X^-1*Y^-2*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2 ] Chiral map of genus 391 and type {18,36}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y^-1*X, Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 404 and type {18,72}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^4, X^18 ] Chiral map of genus 404 and type {18,72}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y*X^7*Y*X^-5, X^-1*Y^2*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^2, X^18 ] Chiral map of genus 391 and type {24,24}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y, Y*X^-5*Y^3*X^-9*Y^2*X^-4 ] Chiral map of genus 391 and type {24,24}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-1*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-2*X^-1, Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-11*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 391 and type {24,24}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^6*Y^5, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y*X*Y^-2*X^3*Y^3*X^-2, Y^-1*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2, X^-1*Y*X^-1*Y*X^-2*Y^2*X^-1*Y*X^-5*Y*X^-1*Y^2*X^-2*Y*X^-1*Y ] Chiral map of genus 391 and type {24,24}_78 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y^-3 ] Chiral map of genus 391 and type {24,24}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X*Y^-1*X^5*Y*X^-1*Y^3*X^-1, Y^-2*X^3*Y^-1*X*Y^-1*X^12*Y^-4 ] Chiral map of genus 391 and type {24,24}_78 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y*X^7*Y^4*X^-1*Y, Y^-2*X*Y^-1*X^4*Y^-1*X*Y^-1*X*Y^-1*X^5*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 391 and type {24,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^8*Y*X^-4*Y^2, Y^-1*X^-1*Y*X^6*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 391 and type {24,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-5, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, (Y^-1*X^2*Y^-1)^3, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, X^-2*Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 391 and type {24,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^8*Y^-1*X^2*Y^-1, Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-2*X*Y ] Chiral map of genus 391 and type {24,24}_156 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-2*X^2*Y^-2*X^3*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 391 and type {24,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-2*X*Y^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 391 and type {24,24}_156 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-4*X^3*Y^-1*X*Y^-3, (Y^-1*X^2*Y^-1)^3 ] Chiral map of genus 417 and type {36,36}_52 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y^-2*X^-2*Y^2*X^-1*Y*X^2*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1, Y*X^-1*Y^7*X^-18*Y^7*X^-1*Y ] Chiral map of genus 417 and type {36,36}_52 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y^-1, X^10*Y^-2*X^2*Y^-2*X*Y^-1 ] Chiral map of genus 417 and type {36,36}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y, Y^3*X^-2*Y*X^-1*Y^3*X^-3*Y*X^-11*Y*X^-2*Y^2*X^-1*Y*X^-4 ] Chiral map of genus 417 and type {36,36}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^6*Y*X^-2*Y^2, X^-2*Y*X^-2*Y^2*X^-1*Y^7*X^-2*Y^2*X^-11*Y^2*X^-1*Y*X^-1*Y ] Chiral map of genus 417 and type {36,36}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1, X^-2*Y*X^5*Y*X^-1*Y^-1*X*Y*X^-1, X^13*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 430 and type {36,72}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^2*Y^-1*X^3*Y*X^-2*Y^4, Y^-4*X^6*Y^-8 ] Chiral map of genus 430 and type {36,72}_104 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y*X^7*Y*X^-5, X^-1*Y^2*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^2, X^10*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 442 and type {52,104}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1, Y^4*X^-1*Y*X^-1*Y^2*X^-11*Y^3*X^-1*Y^2 ] Chiral map of genus 443 and type {72,72}_26 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^31*Y^-1*X*Y^-1*X*Y^-1*X*Y^-6*X^15*Y^-1*X^3*Y^-4*X*Y^-1*X*Y^-3 ] Chiral map of genus 443 and type {72,72}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-2*Y*X^-1, X^-37*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-10*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^5 ] Chiral map of genus 443 and type {72,72}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1, Y^3*X^3*Y^-1*X*Y^2, X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^4*X^-10*Y^3*X^-1 ] Chiral map of genus 443 and type {72,72}_52 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y^-2*X^-2*Y^2*X^-1*Y*X^2*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1, Y*X^-2*Y^2*X^-3*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y*X^-9*Y^6*X^-2 ] Chiral map of genus 443 and type {72,72}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-2*Y^-1*X*Y, Y*X^-1*Y*X^-2*Y*X^-1*Y^3*X^-3*Y*X^-13*Y^2*X^-1*Y^2*X^-1*Y*X^-2 ] Chiral map of genus 443 and type {72,72}_52 not isomorphic to its dual or mirror-dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y^2*X^-1*Y*X^2*Y^-2*X*Y, Y*X^6*Y*X^-2*Y^2, X^-1*Y^2*X^-2*Y^2*X^-1*Y^7*X^-2*Y^2*X^-14*Y*X^-2 ] Chiral map of genus 451 and type {104,104}_6 isomorphic to its dual Automorphism group of order 1872 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^5*Y^3*X^-1, X^83*Y^-4*X^10*Y^-1*X*Y^-1*X*Y^-2*X ] .......................... Chiral maps with 939 edges .......................... Chiral map of genus 1 and type {3,6}_626 not isomorphic to its dual or mirror-dual Automorphism group of order 1878 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y ] .......................... Chiral maps with 940 edges .......................... Chiral map of genus 231 and type {4,188}_470 not isomorphic to its dual or mirror-dual Automorphism group of order 1880 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^47*X*Y^-1*X*Y*X^-1*Y^-1*X*Y^44 ] Chiral map of genus 461 and type {188,188}_10 isomorphic to its dual Automorphism group of order 1880 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X*Y^-144*X^5*Y^-6*X*Y^-3*X^12*Y^-3*X*Y^-6*X*Y^-1*X*Y^-3 ] .......................... Chiral maps with 942 edges .......................... Chiral map of genus 158 and type {6,6}_314 not isomorphic to its dual or mirror-dual Automorphism group of order 1884 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^3*X*Y^-2*X^-2*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 315 and type {12,12}_314 not isomorphic to its dual or mirror-dual Automorphism group of order 1884 with defining relations: [ (X*Y)^2, (Y^-1*X)^3, X^12, (X*Y^-2*X^3)^2, X^-1*Y*X*Y^-3*X^-4*Y^-1*X^5*Y^-2 ] Chiral map of genus 315 and type {12,12}_314 isomorphic to its dual Automorphism group of order 1884 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-2*X^2*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y*X^-1*Y^-1*X*Y^2*X^-1 ] .......................... Chiral maps with 945 edges .......................... Chiral map of genus 253 and type {6,15}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-15, X^-1*Y^-1*X*Y^2*X^2*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-2 ] Chiral map of genus 295 and type {6,45}_630 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-45 ] Chiral map of genus 295 and type {6,45}_630 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-1*Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^3*Y^7*X^-1*Y^-1*X*Y ] Chiral map of genus 295 and type {6,45}_630 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^3*X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^7*X^-1*Y^-1 ] Chiral map of genus 313 and type {6,315}_630 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-53*X^3*Y*X^-1*Y^-51 ] Chiral map of genus 379 and type {15,30}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^-2*X*Y^-1*X*Y^2*X^-1*Y ] Chiral map of genus 400 and type {18,45}_210 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X^2*Y^-1*X*Y^-1*X^3*Y*X^-1*Y*X^-2*Y*X^-1, Y^4*X*Y^-3*X^-1*Y^8 ] Chiral map of genus 421 and type {30,45}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^2*X^-6*Y^7, Y*X^2*Y^-1*X*Y^-1*X^3*Y*X^-1*Y*X^-2*Y*X^-1 ] Chiral map of genus 421 and type {30,45}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^2*X^-6*Y^7, X^-1*Y*X^-2*Y*X^-3*Y*X^-1*Y*X^-2*Y*X^-1 ] Chiral map of genus 421 and type {30,45}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y^2*X^-6*Y^7, X^-2*Y*X^-2*Y*X^3*Y^-1*X^2*Y^-1*X*Y^2 ] Chiral map of genus 439 and type {30,315}_126 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X^2*Y^-2*X^9*Y^-3*X*Y^-1*X^2*Y^-1, Y^-11*X^2*Y^-4*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 448 and type {42,315}_90 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^7*X^-4*Y*X^-2*Y^7 ] Chiral map of genus 442 and type {45,90}_42 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X*Y^-2*X^2*Y*X^-1*Y^2*X^-1*Y^2, X*Y^-5*X*Y^-2*X*Y^-4*X^17*Y^-2*X^2*Y^-1*X*Y^-1*X^3*Y^-1*X*Y^-2 ] Chiral map of genus 449 and type {54,135}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, Y*X*Y^-1*X^2*Y^-1*X^3*Y^7, X^-1*Y^4*X^-3*Y*X^-11*Y^3*X^-3*Y ] Chiral map of genus 463 and type {135,270}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^2*Y^-1*X^93*Y^-4*X*Y^-2*X^2*Y^-4*X^11*Y^-3*X^2*Y^-4*X*Y^-1*X^3*Y^-1 ] Chiral map of genus 466 and type {210,315}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1890 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-77*X^2*Y^-4*X^4*Y^-1*X^10*Y^-1*X*Y^-3*X*Y^-1 ] .......................... Chiral maps with 948 edges .......................... Chiral map of genus 1 and type {3,6}_316 not isomorphic to its dual or mirror-dual Automorphism group of order 1896 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2*X*Y^2*X^-1*Y^-3*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 238 and type {6,12}_316 not isomorphic to its dual or mirror-dual Automorphism group of order 1896 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^12, X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y*X^-1*Y*X^-2*Y^-2*X^-1 ] Chiral map of genus 238 and type {6,12}_316 not isomorphic to its dual or mirror-dual Automorphism group of order 1896 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y*X^2*Y^-1*X^2*Y^4, Y^2*X*Y^-1*X^-1*Y*X^-1*Y^2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-1*X*Y^2*X^-1*Y^2*X^-1 ] Chiral map of genus 317 and type {12,12}_158 not isomorphic to its dual or mirror-dual Automorphism group of order 1896 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, X^12, X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-1*X^-3*Y*X^-2*Y*X^-1*Y^-2*X^2*Y^-1*X^3*Y*X^-1 ] .......................... Chiral maps with 950 edges .......................... Chiral map of genus 451 and type {76,76}_50 isomorphic to its dual Automorphism group of order 1900 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y^-2*X^2*Y^-1*X*Y^-8*X^16*Y^-1*X*Y^-2*X*Y^-1*X^2 ] Chiral map of genus 471 and type {380,380}_10 isomorphic to its dual Automorphism group of order 1900 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^150*Y^-1*X*Y^-1*X*Y^-4*X^3*Y^-1*X^17*Y^-10*X ] .......................... Chiral maps with 952 edges .......................... Chiral map of genus 205 and type {4,28}_476 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-2, Y^28 ] Chiral map of genus 341 and type {8,56}_238 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y*X^-1, X^-1*Y*X*Y^-1*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^5*X^-1*Y^-2 ] Chiral map of genus 341 and type {8,56}_238 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X*Y^-1*X^-1*Y^9*X^-1*Y^-2*X*Y^2 ] Chiral map of genus 341 and type {8,56}_238 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-2*Y^-2*X*Y^-2, Y^-2*X^-1*Y^5*X^-2*Y^4*X^-1*Y^-3 ] Chiral map of genus 341 and type {8,56}_476 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-2*Y*X^-1, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y^2*X*Y^-1*X*Y^5*X^-1*Y^-2 ] Chiral map of genus 401 and type {14,119}_68 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, X^14, Y^2*X*Y^-1*X^-1*Y^2*X*Y^-10*X*Y^2 ] Chiral map of genus 409 and type {28,28}_68 isomorphic to its dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y*X^-1*Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, X*Y^-3*X*Y^-2*X*Y^-1*X^12*Y^-6*X ] Chiral map of genus 443 and type {56,56}_34 isomorphic to its dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X^16*Y^-3*X*Y^-8*X^18*Y^-8*X*Y^-1 ] Chiral map of genus 443 and type {56,56}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-2*Y, X^-32*Y^3*X^-1*Y^3*X^-2*Y*X^-9*Y*X^-4 ] Chiral map of genus 443 and type {56,56}_68 isomorphic to its dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y*X^-1*Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^14*Y^-1*X*Y^-2*X^2 ] Chiral map of genus 460 and type {112,112}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y^2*X^-1*Y*X^2*Y^-2*X*Y, X^4*Y^-28*X*Y^-2*X^2*Y^-2*X^12*Y^-2*X*Y^-1*X ] Chiral map of genus 460 and type {112,112}_34 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^3*Y^-1*X*Y*X^-1, Y*X*Y^-1*X^4*Y^2*X^-1*Y^2, Y^-4*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-4*X^3*Y^-2*X*Y^-1*X^9*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 465 and type {119,238}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y*X^-1*Y^2, X^-4*Y^95*X^-2*Y*X^-13*Y*X^-2*Y ] Chiral map of genus 469 and type {238,238}_4 isomorphic to its mirror-dual Automorphism group of order 1904 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^-2*Y^155*X^-1*Y*X^-15*Y^62*X^-1*Y ] .......................... Chiral maps with 954 edges .......................... Chiral map of genus 1 and type {4,4}_318 isomorphic to its dual Automorphism group of order 1908 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 425 and type {36,36}_106 isomorphic to its dual Automorphism group of order 1908 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1 ] .......................... Chiral maps with 955 edges .......................... Chiral map of genus 192 and type {5,10}_382 not isomorphic to its dual or mirror-dual Automorphism group of order 1910 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, X^-1*Y*X^-1*Y^4*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y^-2 ] Chiral map of genus 192 and type {5,10}_382 not isomorphic to its dual or mirror-dual Automorphism group of order 1910 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-3*X)^2, X^2*Y^-1*X^2*Y^-2*X^-1*Y*X^2*Y^5*X^-1*Y ] .......................... Chiral maps with 960 edges .......................... Chiral map of genus 49 and type {4,5}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, Y^5, X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 161 and type {4,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, X*Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^3, Y^12, Y^2*X*Y^-4*X*Y^-2*X*Y*X^-1*Y*X^-1*Y^-1*X*Y ] Chiral map of genus 161 and type {4,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y^12, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1, X*Y^-1*X^-1*Y*X*Y^-3*X^2*Y*X^-1*Y^-4, Y^2*X*Y^-2*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 161 and type {4,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 161 and type {4,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, Y^12, X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1 ] Chiral map of genus 161 and type {4,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^12, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1 ] Chiral map of genus 201 and type {4,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^-1*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^2*X^-1*Y^-1*X*Y^-2, Y^-1*X*Y^-4*X*Y^-1*X*Y^-5*X*Y^-1 ] Chiral map of genus 201 and type {4,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, Y^-3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4, X^-1*Y*X*Y^-1*X^-1*Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 201 and type {4,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1, Y^-2*X^-1*Y*X*Y^-3*X^-1*Y^4*X^-1*Y^-2 ] Chiral map of genus 201 and type {4,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1, Y^-2*X^-1*Y*X*Y^-3*X^-1*Y^4*X^-1*Y^-2 ] Chiral map of genus 201 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, Y^24 ] Chiral map of genus 201 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^3*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 201 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, Y^-3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4, X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 201 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1, X*Y^-1*X^-1*Y*X*Y^-3*X^2*Y*X^-1*Y^-4, Y^2*X*Y^-2*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, Y^-2*X^-1*Y^2*X*Y^-1*X^-1*Y*X^2*Y^5*X^-1*Y^-1 ] Chiral map of genus 201 and type {4,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-2)^4, X*Y^-4*X^-1*Y*X^2*Y^-3*X*Y*X^-1*Y^-1, Y^24 ] Chiral map of genus 209 and type {4,30}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, (X*Y^-2)^4, (X*Y^-5)^2, Y^30 ] Chiral map of genus 221 and type {4,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, Y^-5*X^-1*Y^6*X*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-6 ] Chiral map of genus 221 and type {4,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^48 ] Chiral map of genus 231 and type {4,96}_480 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1, Y^24*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-2*X*Y^18 ] Chiral map of genus 231 and type {4,96}_480 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^96 ] Chiral map of genus 97 and type {5,5}_24 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, Y^5, (X*Y^-1)^6, X*Y^-1*X*Y^2*X^-1*Y*X^2*Y^-2*X^-1*Y*X^-2*Y^-1 ] Chiral map of genus 129 and type {5,6}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, Y^6, X*Y^-3*X*Y^-1*X^2*Y^3*X*Y^-1*X ] Chiral map of genus 129 and type {5,6}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, Y^6, X^-1*Y^-3*X*Y^-1*X^2*Y^3*X^-2*Y ] Chiral map of genus 129 and type {5,6}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, Y^6, Y^-1*X^-2*Y^-3*X^2*Y*X^-1*Y^3*X, X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-2 ] Chiral map of genus 129 and type {5,6}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, Y^6, (Y^-1*X)^5, Y^-1*X^-2*Y^-3*X^2*Y*X^-1*Y^3*X ] Chiral map of genus 169 and type {5,8}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, Y^8, (X*Y^-1)^6, Y^-1*X^-1*Y^2*X*Y^-1*X^2*Y^2*X^-1*Y^-2*X, X*Y^-4*X^-1*Y*X^2*Y^4*X^-2*Y^-1 ] Chiral map of genus 193 and type {5,10}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-4)^2, (X*Y^-1)^6, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y^2*X^-1*Y^-3*X ] Chiral map of genus 193 and type {5,10}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, Y^10, (X*Y^-4)^2, (X*Y^-1)^6, Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 209 and type {5,12}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^5, (X*Y^-1)^4, Y^12, Y*X*Y^-4*X^2*Y*X^-1*Y^4 ] Chiral map of genus 225 and type {6,10}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, Y^10, (X*Y^-4)^2, (X*Y^-1*X)^4, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, Y^-1*X*Y^-1*X*Y^-2*X^-1*Y^2*X^-1*Y^-2*X ] Chiral map of genus 225 and type {6,10}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, Y^10, (Y^-1*X)^5, (X*Y^-4)^2, (X*Y^-1*X)^4, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 225 and type {6,10}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, Y^10, (Y^-1*X)^5, (X*Y^-4)^2, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, Y^-1*X*Y^-1*X^2*Y^-1*X^-2*Y^-2*X*Y*X^-2*Y^-1 ] Chiral map of genus 225 and type {6,10}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, Y^10, (X*Y^-4)^2, Y^-1*X^-1*Y*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1, Y^-1*X*Y^-1*X*Y^-2*X^-1*Y^2*X^-1*Y^-2*X, Y^-1*X*Y^-1*X^2*Y^-1*X^-2*Y^-2*X*Y*X^-2*Y^-1 ] Chiral map of genus 257 and type {6,15}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-2*X^3*Y^2 ] Chiral map of genus 257 and type {6,15}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1, Y^3*X^-2*Y*X^2*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 257 and type {6,15}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, Y^-3*X*Y^-1*X^2*Y^-3*X*Y^-1, (X*Y^-1)^6, Y^-3*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-2*Y^-1 ] Chiral map of genus 257 and type {6,15}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, X^-1*Y^4*X^2*Y*X^-1*Y^-1*X^2*Y, (X*Y^-1)^6, Y^-1*X^2*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y^-1*X^2*Y^-1 ] Chiral map of genus 257 and type {6,15}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, (X*Y^-1)^6, Y^-5*X^-2*Y^-2*X*Y^-2*X ] Chiral map of genus 273 and type {6,20}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, X^2*Y^-1*X^2*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y^-1, Y^20 ] Chiral map of genus 289 and type {6,30}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1*X*Y^-2*X)^2, (X*Y^-2)^4, (X*Y^-5)^2, Y^-1*X^-2*Y*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X, Y^-1*X^-1*Y^4*X^2*Y*X^-1*Y^-4 ] Chiral map of genus 297 and type {6,40}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, (X*Y^-1)^4, Y^-2*X^2*Y^-1*X^-2*Y^2*X^-1*Y^-1*X, Y^10*X^-3*Y^-2*X^2*Y^-4*X*Y^4 ] Chiral map of genus 305 and type {6,60}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, X*Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1, Y^2*X^2*Y^-1*X^2*Y^-2*X^2*Y, Y^-2*X^-1*Y^11*X^-1*Y^-2*X*Y*X^-1*Y^-4 ] Chiral map of genus 305 and type {6,60}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y*X^2*Y^-2*X^-2*Y^-1*X^2*Y*X^-2*Y, Y^8*X^-2*Y^2*X*Y^-7*X*Y^3 ] Chiral map of genus 305 and type {6,60}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-1*X*Y^-2*X)^2, (X*Y^-2)^4, (X*Y^-5)^2, Y*X^2*Y^-2*X^-2*Y*X^-2*Y^-1*X^2*Y, Y^-2*X^-1*Y^3*X^-2*Y*X^-1*Y^-1*X^2*Y^-3 ] Chiral map of genus 281 and type {8,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X, (X*Y^-2)^4, Y^12, Y*X*Y^-1*X^-1*Y*X^3*Y*X^-1*Y^4 ] Chiral map of genus 281 and type {8,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-2*X*Y^-1*X)^2, X*Y^-1*X*Y^-2*X^2*Y^-5 ] Chiral map of genus 281 and type {8,12}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^12, Y^-2*X^2*Y^-1*X^-4*Y^-1*X^3*Y*X^-1*Y^-1 ] Chiral map of genus 281 and type {8,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y^12, X*Y^-1*X*Y^-1*X*Y^-2*X^2*Y^2*X^-1*Y*X^-2*Y^-1 ] Chiral map of genus 281 and type {8,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, (X*Y^-2)^4, Y^12, Y*X^-1*Y*X*Y^-3*X^2*Y^-1*X*Y^-3*X*Y ] Chiral map of genus 281 and type {8,12}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-2)^4, Y^12, Y*X^-1*Y*X*Y^-3*X^2*Y^-1*X*Y^-3*X*Y ] Chiral map of genus 281 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^12, Y*X^-1*Y^2*X^2*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 281 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^12, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^-3*X*Y^-3*X^2*Y^-3*X*Y^-3 ] Chiral map of genus 281 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^12, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^-3*X*Y^-3*X^2*Y^-3*X*Y^-3 ] Chiral map of genus 281 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y^12, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 281 and type {8,12}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^12, X^-2*Y^2*X^2*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 321 and type {8,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^5*X^2*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 321 and type {8,24}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X ] Chiral map of genus 321 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^2*X*Y^-1*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X*Y^6 ] Chiral map of genus 321 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y^2*X*Y^-2*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 321 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, X^-1*Y^2*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 321 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^-5*X^4*Y^-7, Y^-3*X*Y^-3*X^2*Y^-3*X*Y^-3 ] Chiral map of genus 321 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^-5*X^4*Y^-7, Y^-3*X*Y^-3*X^2*Y^-3*X*Y^-3 ] Chiral map of genus 321 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-2*X*Y^-1*X^2*Y^3*X^-2*Y, Y*X*Y^-1*X*Y^-2*X^2*Y^6 ] Chiral map of genus 321 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, X*Y^-1*X*Y^-2*X^2*Y^-5 ] Chiral map of genus 321 and type {8,24}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-2*X*Y^-1*X^2*Y^2*X^-1*Y^-1*X*Y, Y^-6*X^2*Y^2*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X^-1*Y^2*X*Y^-2*X^-1*Y*X^2*Y^2*X^-2*Y^2*X^-1*Y^-2 ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^24 ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-3)^2, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, X*Y^-1*X*Y^-1*X*Y^-2*X^2*Y^2*X^-1*Y*X^-2*Y^-1, Y^2*X*Y^-1*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X*Y^6 ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^24 ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, X^-2*Y^2*X^2*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, Y*X^-1*Y^2*X^2*Y^-1*X*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y^3*X^3*Y^3*X^-1, Y^-1*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X*Y^2*X^-2*Y^2*X^-1*Y^-2 ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, (X*Y^-2)^4, Y^-5*X^4*Y^-7, Y*X^-1*Y*X*Y^-3*X^2*Y^-1*X*Y^-3*X*Y ] Chiral map of genus 321 and type {8,24}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y, (X*Y^-2)^4, Y^-5*X^4*Y^-7, Y*X^-1*Y*X*Y^-3*X^2*Y^-1*X*Y^-3*X*Y ] Chiral map of genus 329 and type {8,30}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, Y^-2*X*Y^-1*X^3*Y*X^-1*Y^-1*X*Y^-1, Y^30 ] Chiral map of genus 341 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^-10*X^-1*Y^2*X^2*Y*X^-1*Y^-5*X*Y*X^-1*Y^-5 ] Chiral map of genus 341 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^48 ] Chiral map of genus 341 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y*X^-2*Y^2*X*Y^-1*X^-2*Y^-6*X*Y^2 ] Chiral map of genus 341 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, Y^-1*X^3*Y^-1*X^-2*Y^-1*X^3*Y^-1, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, X^-1*Y^5*X*Y^-1*X*Y^3*X^-2*Y*X^-1*Y^-2 ] Chiral map of genus 341 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^-10*X^-1*Y^2*X^2*Y*X^-1*Y^-2*X^2*Y^-9 ] Chiral map of genus 341 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^48 ] Chiral map of genus 341 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^12*X^3*Y^-8*X*Y^4 ] Chiral map of genus 341 and type {8,48}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^12*X^3*Y^-8*X*Y^4 ] Chiral map of genus 351 and type {8,96}_480 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^24*X^3*Y^-8*X*Y^16 ] Chiral map of genus 351 and type {8,96}_480 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^24*X^3*Y^-8*X*Y^16 ] Chiral map of genus 289 and type {10,10}_12 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^10, Y^10, Y^-1*X^5*Y^-4, (X*Y^-1)^6, Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X*Y^-1 ] Chiral map of genus 289 and type {10,10}_24 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^10, Y^10, Y^-1*X^5*Y^-4, (X*Y^-1)^6, X^-1*Y*X^2*Y^-1*X^-3*Y^-1*X*Y^2*X^-1*Y^2 ] Chiral map of genus 321 and type {12,12}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 321 and type {12,12}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^12, X^2*Y^-1*X^6*Y^-3*X^2*Y^2 ] Chiral map of genus 321 and type {12,12}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y^2*X^-2*Y^-1*X*Y^-2*X^2*Y^2*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 321 and type {12,12}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X*Y^-1*X*Y^-1*X^3*Y*X^-2*Y*X^-1*Y ] Chiral map of genus 321 and type {12,12}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 321 and type {12,12}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, X*Y^-1*X^5*Y^-2*X^2*Y^-1, X^3*Y^-1*X^3*Y^-5, (X*Y^-2)^4 ] Chiral map of genus 321 and type {12,12}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X*Y^-3*X^3*Y^-1*X*Y^-1*X*Y^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, (X*Y^-1*X)^4 ] Chiral map of genus 321 and type {12,12}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^12, X^-2*Y^2*X^3*Y*X^-1*Y^-3, (X*Y^-1*X)^4 ] Chiral map of genus 321 and type {12,12}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X*Y^-1*X^2)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, (X*Y^-1*X)^4, Y^12, (X*Y^-2)^4, Y^-3*X^5*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 321 and type {12,12}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-2, X^12, X^2*Y^-1*X^4*Y^2*X^-1*Y^-2 ] Chiral map of genus 341 and type {12,16}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^16 ] Chiral map of genus 341 and type {12,16}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^16, Y^-2*X^-1*Y^2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-2*Y^-1*X ] Chiral map of genus 361 and type {12,24}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, (X*Y^-2*X*Y^-1*X)^2, Y^-1*X^-1*Y^3*X*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 361 and type {12,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, Y*X*Y^-3*X^2*Y^4*X^-1, Y*X^2*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y ] Chiral map of genus 361 and type {12,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, X^3*Y^-1*X^3*Y^-5, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 361 and type {12,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, X^3*Y^-1*X^3*Y^-5, (Y^2*X^-1*Y*X^-1*Y)^2, Y*X*Y^-1*X*Y^-1*X^3*Y*X^-2*Y*X^-1*Y ] Chiral map of genus 361 and type {12,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, X^-1*Y*X^-1*Y*X^3*Y*X^-1*Y*X^-1*Y, Y*X^-1*Y^2*X*Y^-1*X^3*Y*X^-1*Y^3*X^-1*Y ] Chiral map of genus 361 and type {12,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, Y^-1*X*Y^-3*X^2*Y^2*X^-1*Y^-1*X ] Chiral map of genus 361 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X*Y^-1*X^-2*Y^2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y*X^-2*Y^-2*X*Y^-1 ] Chiral map of genus 361 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-4*X)^2, Y^2*X^-2*Y*X^3*Y^-2*X^2*Y*X^-1 ] Chiral map of genus 361 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-4*X)^2 ] Chiral map of genus 361 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-3*X^4*Y^-5, Y*X*Y^-3*X^2*Y^4*X^-1, X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 361 and type {12,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, X^12, Y^-2*X^5*Y^-3*X*Y^-1, X^-1*Y^-2*X^-2*Y^2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^2*X^2*Y ] Chiral map of genus 369 and type {12,30}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-1*X*Y^-1*X^2)^2, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y^4*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 369 and type {12,30}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X*Y^-1*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^2, X*Y^-4*X^4*Y^-1*X*Y^5 ] Chiral map of genus 369 and type {12,30}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y*X*Y^-2*X^3*Y^-2*X*Y*X^-1, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X*Y^-1*X^2*Y^-1*X^3*Y^-1*X*Y^2*X^-1*Y, Y^3*X*Y^-1*X^4*Y^-4*X*Y^2 ] Chiral map of genus 371 and type {12,32}_480 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y*X^-1*Y^-4*X^-1*Y^2*X*Y^-1*X^-2*Y^-2*X*Y^6 ] Chiral map of genus 371 and type {12,32}_480 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^12, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, Y^32 ] Chiral map of genus 381 and type {12,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, Y^7*X*Y^-7*X*Y^2 ] Chiral map of genus 381 and type {12,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-2*X^-1*Y^2*X*Y^-2*X^-2*Y^-1*X*Y^2*X^-2*Y^-1*X ] Chiral map of genus 385 and type {12,60}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-1*X*Y^-1*X^2)^2, Y^-3*X*Y^-1*X^2*Y^-3*X*Y^-1, Y^-2*X^-1*Y^2*X*Y^-1*X*Y^3*X^-1*Y^-2 ] Chiral map of genus 385 and type {12,60}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, Y*X^-1*Y*X*Y^-1*X^3*Y*X^-2*Y^-1*X*Y, Y^-1*X^-1*Y^4*X^2*Y*X^-1*Y^-4 ] Chiral map of genus 385 and type {12,60}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y*X*Y^-2*X^3*Y^-2*X*Y*X^-1, (X*Y^-2*X*Y^-1*X)^2, (X*Y^-2)^4, X^-1*Y^2*X*Y^-1*X^3*Y^-1*X^2*Y^-1*X*Y, Y^-4*X^-1*Y*X^2*Y^4*X^-1*Y^-1 ] Chiral map of genus 391 and type {12,96}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, Y^2*X*Y^-3*X^-1*Y^2*X*Y^-1*X^-3*Y^2*X^-1*Y^-5*X*Y ] Chiral map of genus 391 and type {12,96}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^16*X*Y^-3*X*Y^13 ] Chiral map of genus 385 and type {15,30}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, X^-15, Y*X^-7*Y^2*X^-1*Y*X^-3 ] Chiral map of genus 381 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^3*X^-2*Y*X^5*Y^-2*X*Y^6 ] Chiral map of genus 381 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, X^-1*Y*X^2*Y^-2*X^3*Y*X^-2*Y^-1*X*Y^-1*X*Y^-2, Y^3*X^-2*Y*X^5*Y^-2*X*Y^6 ] Chiral map of genus 381 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^24 ] Chiral map of genus 381 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^24 ] Chiral map of genus 381 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y^-2*X^-1*Y^2*X^-2*Y*X^3*Y^-2*X^2*Y^-5 ] Chiral map of genus 381 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, Y^24 ] Chiral map of genus 381 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, X^-1*Y^5*X*Y^-1*X^2*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 381 and type {16,24}_240 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^16, Y^24 ] Chiral map of genus 401 and type {16,48}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y*X*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^4, X^16 ] Chiral map of genus 401 and type {16,48}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y*X*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^4 ] Chiral map of genus 401 and type {16,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, Y^5*X^4*Y^7, Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 401 and type {16,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, Y^-5*X^4*Y^-7, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 401 and type {16,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y^5*X^2*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 401 and type {16,48}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^5*X^2*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, X^-1*Y*X^2*Y^-2*X^3*Y*X^-2*Y^-1*X*Y^-1*X*Y^-2, X*Y^-2*X^-1*Y^2*X*Y^-1*X^-2*Y^-1*X*Y^6 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^16, X^-1*Y*X^2*Y^-2*X^3*Y*X^-2*Y^-1*X*Y^-1*X*Y^-2, Y*X*Y^-2*X^-1*Y^2*X^-2*Y^2*X^-2*Y^5 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^16, Y^12*X*Y^-3*X*Y^9 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^12*X*Y^-3*X*Y^9 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, Y*X^-2*Y^2*X*Y^-1*X^-2*Y^-6*X*Y^2 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, X^-1*Y^5*X*Y^-1*X*Y^3*X^-2*Y*X^-1*Y^-2 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^2*X^-1*Y, Y^12*X^8*Y^12 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^16, Y^12*X^8*Y^12 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, Y^5*X^4*Y^7, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 401 and type {16,48}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^16, Y^-5*X^4*Y^-7, Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 417 and type {16,240}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-1, Y^30*X^2*Y*X^-2*Y^29 ] Chiral map of genus 401 and type {20,30}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^4*Y^-4, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y*X^-1*Y^2*X^-1*Y*X^2*Y^-2*X*Y^-1*X*Y ] Chiral map of genus 401 and type {24,24}_10 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-1*X)^4 ] Chiral map of genus 401 and type {24,24}_10 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, X^-1*Y^2*X^5*Y^-4*X*Y ] Chiral map of genus 401 and type {24,24}_10 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X*Y^-2*X^3*Y*X^-2*Y^2, (X*Y^-1*X)^4, (X*Y^-2*X*Y^-1*X)^2, Y^-3*X^5*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 401 and type {24,24}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X^-1*Y*X^-1*Y^3*X^-2*Y^3*X^-6*Y^2*X^-4*Y ] Chiral map of genus 401 and type {24,24}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^5*Y^-3*X*Y^-1, Y*X^3*Y^-1*X^3*Y^6, X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 401 and type {24,24}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 401 and type {24,24}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^3*Y*X^-2*Y*X^-1*Y, X^-2*Y*X^-3*Y*X^-1*Y*X^-8*Y^2*X^-4*Y ] Chiral map of genus 401 and type {24,24}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-2, (X*Y^-2*X*Y^-1*X)^2, Y^-3*X^5*Y*X^-1*Y*X^-1*Y^-2 ] Chiral map of genus 401 and type {24,24}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^2*Y^-1*X^4*Y^2*X^-1*Y^-2, Y^4*X^3*Y*X^-1*Y^2*X^-1, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X^-1*Y*X^-1*Y^3*X^-2*Y^3*X^-6*Y^2*X^-4*Y ] Chiral map of genus 401 and type {24,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 401 and type {24,24}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^5*Y^-3*X*Y^-1, Y*X^3*Y^-1*X^3*Y^6, Y*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, X^-3*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^3 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2*X*Y^-1*X*Y^-1 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y*X^-1*Y*X^3*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, (X*Y^-2*X*Y^-1*X)^2 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X*Y^-1*X^5*Y^-2*X^2*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, X*Y^-1*X^2*Y^-1*X^2*Y^-2*X*Y^-2 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-1*Y*X^-1*Y*X^-3*Y*X^-5*Y*X^-6*Y^4 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^-1*Y*X^-4*Y*X^-1*Y*X^-9*Y^2*X^-3*Y ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, X^2*Y^-1*X^4*Y^2*X^-1*Y^-2, (X*Y^-2*X^3)^2 ] Chiral map of genus 401 and type {24,24}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^3*Y^-1*X*Y^-2, (X*Y^-2*X^3)^2 ] Chiral map of genus 411 and type {24,32}_480 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^-1*Y^5*X^3*Y^-1*X^-1*Y^2*X^-6*Y^8*X^-1 ] Chiral map of genus 411 and type {24,32}_480 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X*Y^-1*X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1, X*Y^-1*X^-2*Y*X^7*Y*X^-1*Y^2*X^-1*Y, X^-1*Y^5*X*Y^-1*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-2*Y^8*X^-1 ] Chiral map of genus 421 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X*Y^-1*X^-2*Y*X^3*Y*X^-1*Y^-1*X*Y^2, X*Y^-1*X^2*Y^-1*X^4*Y^-1*X^6*Y^-1*X^4*Y^-1*X*Y^-1 ] Chiral map of genus 421 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X*Y^-1*X^-9*Y^-1*X^6, X^-1*Y*X^-2*Y*X^-6*Y*X^-1*Y*X^-4*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 421 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-3*X^4*Y^-5, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1 ] Chiral map of genus 421 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-3*X^4*Y^-5, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 421 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, X^-2*Y^2*X*Y^-1*X^2*Y^-2*X*Y^3, Y^2*X^-1*Y^2*X^-1*Y^2*X^-9*Y^3*X^-3*Y ] Chiral map of genus 421 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^7*X*Y^-7*X*Y^2, X^-3*Y^2*X^-1*Y^2*X^-9*Y*X^-2*Y*X^-1*Y^2 ] Chiral map of genus 421 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^7*X*Y^-7*X*Y^2 ] Chiral map of genus 421 and type {24,48}_80 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X^2*Y^-3*X^3*Y*X^-1*Y^-2*X^2*Y^-1 ] Chiral map of genus 431 and type {24,96}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-1*X*Y^2*X*Y^-3*X^-1*Y*X*Y^-9 ] Chiral map of genus 431 and type {24,96}_160 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y^-1*X*Y^2*X*Y^-3*X^-1*Y*X*Y^-9 ] Chiral map of genus 417 and type {30,30}_4 isomorphic to its mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y*X^-2*Y^3, X^-2*Y*X^-3*Y^2*X^-2*Y^3*X^-1*Y*X^-8*Y^2*X^-1*Y*X^-1*Y*X^-1 ] Chiral map of genus 417 and type {30,30}_8 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X^3*Y^-1*X^3*Y*X^-2*Y*X^-2, Y*X^-5*Y*X^-13*Y^4*X^-1*Y^3*X^-1*Y ] Chiral map of genus 417 and type {30,30}_8 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y^2, Y*X^6*Y^5, X^4*Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-2*X^8*Y^-2*X*Y^-1*X*Y^-2*X ] Chiral map of genus 425 and type {30,40}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2, Y*X^7*Y*X^-5, X^2*Y^-2*X^4*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 433 and type {30,60}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y^5*X^-1, X^-2*Y*X^-2*Y*X^-4*Y^2*X^-2*Y*X^-1*Y*X^-13 ] Chiral map of genus 433 and type {30,60}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^7*Y*X^-5, Y^3*X^-2*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-14 ] Chiral map of genus 433 and type {30,60}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y*X*Y^-2*X^3*Y^3*X^-2, X^-2*Y*X^-2*Y^6*X^-3*Y*X^-9*Y^6 ] Chiral map of genus 441 and type {32,96}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X*Y^-4*X^3*Y^7, X*Y^-3*X*Y^-3*X^14*Y^-2*X*Y^-3*X*Y^-1*X^2 ] Chiral map of genus 441 and type {32,96}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X^6*Y^-1*X*Y^-2*X*Y^-1*X, Y*X*Y^-4*X^3*Y^7 ] Chiral map of genus 441 and type {32,96}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y^-5*X^4*Y^-7 ] Chiral map of genus 441 and type {32,96}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X^6*Y^-1*X*Y^-2*X*Y^-1*X, Y^-5*X^4*Y^-7 ] Chiral map of genus 441 and type {48,48}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^2*Y^-2*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, X^-1*Y*X^-1*Y^3*X^-2*Y^3*X^-6*Y^2*X^-1*Y^3*X^-1 ] Chiral map of genus 441 and type {48,48}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X*Y^-2*X^3*Y^-4*X*Y^-10*X^16*Y^-8*X^3 ] Chiral map of genus 441 and type {48,48}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^3*Y*X^-2*Y*X^-1*Y, X^-1*Y^2*X^-3*Y*X^-1*Y*X^-8*Y^2*X^-3*Y^2 ] Chiral map of genus 441 and type {48,48}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^-1*Y^6*X^-2*Y*X^-3*Y*X^-1*Y*X^-1*Y^2*X^-13*Y*X^-2*Y^2*X^-9*Y^2 ] Chiral map of genus 441 and type {48,48}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-1*X^3*Y^-3*X^2*Y^-3*X*Y^-3 ] Chiral map of genus 441 and type {48,48}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^2*Y^-1*X^8*Y^-1*X^3*Y^-2*X^4*Y^-1*X*Y^-2*X^14*Y^-1*X^6*Y^-2 ] Chiral map of genus 441 and type {48,48}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y^-1 ] Chiral map of genus 441 and type {48,48}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^8*Y^7, Y^-1*X*Y^-1*X^6*Y*X^-1*Y^-2*X^2*Y^-1 ] Chiral map of genus 441 and type {48,48}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-2*X, Y*X^8*Y^7 ] Chiral map of genus 441 and type {48,48}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^8*Y^7, Y^-1*X*Y^-1*X^6*Y*X^-1*Y^-1*X*Y^-2*X ] Chiral map of genus 441 and type {48,48}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2, X^-2*Y^2*X^-1*Y^2*X^-7*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y ] Chiral map of genus 441 and type {48,48}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X^-1*Y*X^-1*Y^3*X^-2*Y^3*X^-6*Y^2*X^-1*Y^3*X^-1 ] Chiral map of genus 441 and type {48,48}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-1*Y*X^-1*Y*X^-3*Y*X^-9*Y*X^-1*Y^4*X^-1 ] Chiral map of genus 441 and type {48,48}_40 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y*X^-1*Y*X^4*Y^-1*X*Y^3, X^-2*Y^2*X^3*Y*X^-1*Y^-3, X^-1*Y^2*X^-4*Y*X^-1*Y*X^-8*Y*X^-4*Y ] Chiral map of genus 449 and type {48,80}_120 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-1)^4, (X*Y^-3)^2, Y^10*X^-9*Y^-1*X*Y^3*X^-1*Y^-3*X*Y^3 ] Chiral map of genus 457 and type {48,240}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, X^-1*Y*X^-1*Y*X^-1*Y^2*X^-9*Y^3*X^-3*Y*X^-1, Y^10*X^2*Y*X^-1*Y^-3*X*Y^6 ] Chiral map of genus 449 and type {60,60}_4 isomorphic to its mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-1*Y, X^-3*Y*X^-1*Y^38*X^-2*Y^2*X^-8*Y*X^-2*Y^2 ] Chiral map of genus 449 and type {60,60}_8 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y^3*X^-2*Y^27*X^-3*Y^3*X^-1*Y*X^-11*Y^6*X^-1*Y^2 ] Chiral map of genus 449 and type {60,60}_8 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^6*Y^5, Y*X^3*Y^-1*X^3*Y*X^-2*Y*X^-2, X^-3*Y^3*X^-3*Y^3*X^-8*Y^4*X^-1*Y^3*X^-1*Y ] Chiral map of genus 449 and type {60,60}_8 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y^2, Y*X^6*Y^5, Y^-1*X^3*Y^-1*X*Y^-4*X*Y^-2*X^9*Y^-2*X*Y^-1*X*Y^-2*X ] Chiral map of genus 461 and type {64,192}_30 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, X^-4*Y^39*X^-3*Y^3*X^-1*Y*X^-8*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 461 and type {64,192}_60 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X*Y^-4*X^3*Y^7, Y^-1*X*Y^-3*X*Y^-3*X^14*Y^-1*X^2*Y^-3*X^2*Y^-1 ] Chiral map of genus 465 and type {80,240}_24 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-4*X^2*Y^-1*X^6*Y^-7 ] Chiral map of genus 461 and type {96,96}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^2*X^-1, X*Y^-7*X*Y^-1*X^2*Y^-1*X^2*Y^-5*X*Y^-2*X*Y^-1*X^12*Y^-8*X^2*Y^-1 ] Chiral map of genus 461 and type {96,96}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X^56*Y^-3*X*Y^-6*X^4*Y^-2*X^11*Y^-3*X*Y^-7*X*Y^-1 ] Chiral map of genus 461 and type {96,96}_40 not isomorphic to its dual or mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X*Y^-3*X*Y^4, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, Y^-2*X^9*Y^-1*X^3*Y^-2*X^4*Y^-1*X*Y^-2*X^14*Y^-1*X^6*Y^-1*X ] Chiral map of genus 465 and type {120,120}_4 isomorphic to its mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-1*Y, X^-3*Y*X^-1*Y^38*X^-2*Y^2*X^-9*Y*X^-1*Y*X^-1 ] Chiral map of genus 465 and type {120,120}_4 isomorphic to its mirror-dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^5*Y^2*X^-2, X^4*Y^-2*X^14*Y^-96*X^4 ] Chiral map of genus 471 and type {192,192}_10 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^152*Y^-1*X*Y^-1*X*Y^-4*X^3*Y^-1*X^17*Y^-8*X*Y^-1*X ] Chiral map of genus 471 and type {192,192}_20 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, X*Y^-2*X*Y^-1*X^51*Y^-3*X*Y^-6*X^4*Y^-2*X^11*Y^-3*X*Y^-9 ] Chiral map of genus 473 and type {240,240}_8 isomorphic to its dual Automorphism group of order 1920 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^6*Y*X^-1*Y^2*X^-1, Y^3*X*Y^-1*X^2*Y^-1*X*Y^3, Y*X^-1*Y^14*X^-8*Y^4*X^-2*Y^3*X^-2*Y*X^-6*Y^3*X^-2*Y^4*X^-4*Y*X^-3*Y ] .......................... Chiral maps with 962 edges .......................... Chiral map of genus 1 and type {4,4}_962 isomorphic to its dual Automorphism group of order 1924 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1 ] Chiral map of genus 1 and type {4,4}_962 isomorphic to its dual Automorphism group of order 1924 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-1*X ] Chiral map of genus 445 and type {52,52}_74 isomorphic to its dual Automorphism group of order 1924 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-2*Y*X^-1*Y^2*X^-1*Y*X^2*Y^-1*X*Y^-2*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1, Y^-5*X*Y^-1*X*Y^-1*X*Y^-1*X^9*Y^-1*X*Y^-2*X^2 ] Chiral map of genus 469 and type {148,148}_26 isomorphic to its dual Automorphism group of order 1924 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, Y^-1*X*Y^-35*X^2*Y^-1*X^2*Y^-6*X^16*Y^-8*X^2 ] .......................... Chiral maps with 964 edges .......................... Chiral map of genus 1 and type {4,4}_482 isomorphic to its dual Automorphism group of order 1928 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X ] Chiral map of genus 242 and type {8,8}_482 not isomorphic to its dual or mirror-dual Automorphism group of order 1928 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X*Y^-1*X^-2*Y*X^-3*Y^4*X*Y^-3 ] .......................... Chiral maps with 966 edges .......................... Chiral map of genus 316 and type {6,138}_322 not isomorphic to its dual or mirror-dual Automorphism group of order 1932 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^2*Y*X^-1*Y^-2, Y^23*X^2*Y^2*X^-1*Y^-4*X*Y^17 ] Chiral map of genus 316 and type {6,138}_322 not isomorphic to its dual or mirror-dual Automorphism group of order 1932 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y^-1*X, Y^23*X^3*Y^-1*X^2*Y^-5*X^-1*Y^17 ] Chiral map of genus 470 and type {138,138}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1932 with defining relations: [ (X*Y)^2, Y*X*Y^-2*X*Y^3, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1*X^3*Y^-1*X*Y^-1*X^2*Y^-1*X^4*Y^-2*X^14*Y^-3*X*Y^-3*X^2*Y^-1*X^2 ] .......................... Chiral maps with 968 edges .......................... Chiral map of genus 122 and type {4,8}_8 not isomorphic to its dual or mirror-dual Automorphism group of order 1936 with defining relations: [ (X*Y)^2, X^4, Y^8, Y^-1*X^-1*Y^2*X*Y^-1*X*Y^2*X^-1*Y^-2, (X*Y^-2)^4, X*Y^-1*X*Y^-1*X*Y^-4*X^2*Y^-1*X*Y^4*X^2*Y^-1, Y^2*X^-1*Y*X*Y^-2*X*Y^-1*X^2*Y*X^-1*Y^4*X^2*Y ] Chiral map of genus 243 and type {8,8}_22 isomorphic to its dual Automorphism group of order 1936 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-2*X)^2, (X*Y^-1)^4, X*Y^-4*X^-1*Y*X^4*Y^-1*X*Y*X^-1*Y^-1 ] .......................... Chiral maps with 969 edges .......................... Chiral map of genus 305 and type {6,51}_646 not isomorphic to its dual or mirror-dual Automorphism group of order 1938 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^-1*Y*X*Y^-1*X^-1*Y^4*X^-2*Y*X^3*Y^-1*X*Y^7*X^-1*Y^-1 ] Chiral map of genus 457 and type {51,102}_38 not isomorphic to its dual or mirror-dual Automorphism group of order 1938 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X*Y^-2*X^2*Y*X^-1*Y^3*X^-1*Y, Y*X^-1*Y^2*X^-1*Y^2*X^-3*Y*X^-1*Y*X^-1*Y^2*X^-2*Y*X^-2*Y^2*X^-15*Y*X^-2*Y*X^-3*Y^6 ] .......................... Chiral maps with 970 edges .......................... Chiral map of genus 1 and type {4,4}_970 isomorphic to its dual Automorphism group of order 1940 with defining relations: [ (X*Y)^2, X^4, Y^4, Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 1 and type {4,4}_970 isomorphic to its dual Automorphism group of order 1940 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 389 and type {20,20}_194 isomorphic to its dual Automorphism group of order 1940 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1, Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 481 and type {388,388}_10 isomorphic to its dual Automorphism group of order 1940 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^154*Y^-1*X*Y^-1*X*Y^-4*X^3*Y^-1*X^17*Y^-10*X ] .......................... Chiral maps with 972 edges .......................... Chiral map of genus 109 and type {3,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^3, (Y^2*X^-1*Y^2)^3, Y^-1*X*Y^-2*X^-1*Y^4*X^2*Y^-2*X*Y^-5, Y^18, Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^3*X^-1*Y^-3*X*Y^2 ] Chiral map of genus 136 and type {3,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^3, (Y^2*X^-1*Y^2)^3, Y^-1*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2, Y^2*X*Y^-10*X^-1*Y^9*X^-1*Y^-2*X*Y ] Chiral map of genus 163 and type {4,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3*X*Y^-1)^2, Y^12, Y^-1*X*Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-4 ] Chiral map of genus 163 and type {4,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3*X*Y^-1)^2, Y^12, Y^-3*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y^-3 ] Chiral map of genus 163 and type {4,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3*X*Y^-1)^2, Y*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^-2*X*Y^2 ] Chiral map of genus 190 and type {4,18}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^4, (X*Y^-2)^4, Y^2*X*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y^-2*X*Y*X^-1*Y, Y^2*X*Y^-1*X^-1*Y*X*Y^-1*X^-2*Y^-1*X*Y^-1*X*Y*X^-1*Y^2 ] Chiral map of genus 217 and type {6,9}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y*X^-1*Y^-2*X^3*Y*X^-1*Y*X^-2*Y*X^2*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y*X^-2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-2 ] Chiral map of genus 244 and type {6,12}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y^2*X^-1*Y*X^-2*Y*X^-1*Y^-1*X^2*Y, Y^12 ] Chiral map of genus 244 and type {6,12}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-3*Y^-3*X*Y^-1, (X*Y^-1)^6, Y^12, Y^-4*X^-2*Y*X^2*Y*X^-1*Y^-1*X^2*Y^-1*X ] Chiral map of genus 244 and type {6,12}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-3*Y^-3*X*Y^-1, (X*Y^-1)^6, Y^12, X*Y^-3*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 298 and type {6,36}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, X*Y^-3*X^-3*Y^-1*X^2*Y^-2, (X*Y^-1)^6, Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^-3*X, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-3*X*Y^3 ] Chiral map of genus 298 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-2*Y^-1*X^2*Y^-1, Y^2*X^-1*Y^4*X^2*Y^4*X^-1*Y^2, Y^-3*X^-1*Y^2*X*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 298 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, (X*Y^-2*X*Y^-1*X)^2, X^2*Y^-4*X^2*Y*X^-1*Y^-1*X*Y^2, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-3*X*Y^3 ] Chiral map of genus 298 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, (X*Y^-5)^2, Y^-2*X^2*Y^-2*X^2*Y^3*X^-1*Y^-1*X, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-3*X*Y^3 ] Chiral map of genus 298 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y^-1*X^2*Y^-1*X^-3*Y^-3*X*Y^-1, (X*Y^-1)^6, X*Y^-3*X^-1*Y*X^2*Y^-2*X*Y*X^-1*Y^-1, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-3*X*Y^3 ] Chiral map of genus 298 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X^-2*Y*X*Y^-4*X^-1*Y*X^-3*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^2 ] Chiral map of genus 298 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-2*X*Y^-2*X^2*Y^-2*X*Y^-2, Y^-7*X^2*Y^-3*X*Y*X^-1*Y^-1 ] Chiral map of genus 298 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^-1*Y*X^-2*Y*X^-1*Y^2, Y^-1*X^-1*Y*X*Y^-3*X^2*Y^-7 ] Chiral map of genus 298 and type {6,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^-1*Y*X^-2*Y*X^-1*Y^2, Y^4*X*Y^-2*X^2*Y^-2*X*Y^4 ] Chiral map of genus 313 and type {6,81}_324 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, X*Y^-1*X^-1*Y*X^2*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y*X^-2*Y*X^-1*Y, Y^-14*X^2*Y^-1*X*Y*X^-1*Y^-4*X*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 316 and type {6,108}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^2*X^2*Y^-1*X^-1*Y*X^-1*Y^-1*X^2*Y, Y^18*X^2*Y^4*X^-2*Y^14 ] Chiral map of genus 322 and type {6,324}_324 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^54*X^2*Y*X^-2*Y^53 ] Chiral map of genus 244 and type {8,8}_6 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^8, Y^8, (X^3*Y^-1)^3, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 244 and type {8,8}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^8, Y^8, X*Y^-2*X^4*Y^2*X^-2*Y^-1, X*Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y^-2 ] Chiral map of genus 244 and type {8,8}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^2*X^4*Y^-2*X*Y ] Chiral map of genus 244 and type {8,8}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-2*Y*X*Y^-1*X^-2*Y^-1*X^3*Y, Y^-1*X*Y^-4*X^-2*Y^2*X^-1*Y^-2*X ] Chiral map of genus 244 and type {8,8}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X*Y^-2*X*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-1, Y^-1*X^-1*Y*X*Y^-1*X^-3*Y^-1*X^3*Y^-1*X ] Chiral map of genus 244 and type {8,8}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^8, Y^8, X^-1*Y*X^-1*Y*X^3*Y^-1*X*Y^-1*X*Y^-1, Y*X*Y^-1*X^-1*Y*X^3*Y^3*X^-2*Y ] Chiral map of genus 244 and type {8,8}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X*Y^-1*X^2*Y*X^-1*Y, X*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 244 and type {8,8}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y^-1*X^-1*Y*X*Y^-1*X^-3*Y^-1*X^3*Y^-1*X ] Chiral map of genus 298 and type {9,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^12, Y^2*X^-1*Y^4*X^2*Y^4*X^-1*Y^2, X*Y^-2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y*X^-1*Y^-2 ] Chiral map of genus 325 and type {9,18}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^6*X^-2*Y^-5*X*Y, Y^2*X^-1*Y^4*X^2*Y^4*X^-1*Y^2, X*Y^-1*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^2 ] Chiral map of genus 325 and type {9,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y^6*X^-2*Y^-5*X*Y, Y^2*X^-1*Y^4*X^2*Y^4*X^-1*Y^2, X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^2*Y*X^-1*Y^-1*X*Y^2*X^-1*Y^2 ] Chiral map of genus 325 and type {9,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, X*Y^-5*X^-2*Y^7, Y^2*X^-1*Y^4*X^2*Y^4*X^-1*Y^2, X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^2*Y^2*X^-1*Y^2*X^-1*Y^2 ] Chiral map of genus 352 and type {9,36}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, (Y*X^-1*Y)^3, Y^-8*X^-1*Y^4*X^3*Y^7*X^-1*Y^-5 ] Chiral map of genus 352 and type {9,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, X^-1*Y*X*Y^-1*X^-2*Y^-2*X*Y^-2, Y^6*X^-1*Y*X*Y^-5*X^-3*Y^-5*X*Y^7 ] Chiral map of genus 352 and type {9,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^9, (X*Y^-1*X)^2, Y*X^-1*Y^2*X^2*Y^2*X^-1*Y, Y^-8*X^-1*Y^4*X*Y^-3*X*Y^8*X^2*Y^-1 ] Chiral map of genus 325 and type {12,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^6*Y^-5, Y^-1*X^2*Y^-1*X^3*Y^-3*X*Y^-1, (X*Y^-1)^6, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^2*X^-2 ] Chiral map of genus 325 and type {12,12}_18 isomorphic to its mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-1*X)^4, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^2*X^-2*Y^-1 ] Chiral map of genus 325 and type {12,12}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, (X*Y^-2*X^3)^2, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-1*X)^4, Y^-1*X^-2*Y*X*Y^-1*X*Y*X^-2*Y^-2, (X*Y^-2)^4, Y^-2*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1*Y^-1 ] Chiral map of genus 325 and type {12,12}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^-1*Y*X^4*Y*X^-1*Y^-1*X^2, (X*Y^-1*X*Y^-1*X^2)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 325 and type {12,12}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^-1*Y*X^4*Y*X^-1*Y^-1*X^2, (X*Y^-1*X*Y^-1*X^2)^2, Y^-2*X^-2*Y*X^3*Y^-2*X^2*Y^-1*X ] Chiral map of genus 325 and type {12,12}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^-1*Y*X^4*Y*X^-1*Y^-1*X^2, (X*Y^-1*X*Y^-1*X^2)^2, Y*X^-1*Y*X*Y^-1*X^2*Y^-2*X^2*Y ] Chiral map of genus 352 and type {12,18}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, X^12, (X*Y^-1*X*Y^-1*X^2)^2, (X*Y^-4*X)^2, Y^-2*X^6*Y^2*X^-2*Y^-2 ] Chiral map of genus 352 and type {12,18}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-3*X*Y^-1, Y^-1*X^-1*Y^2*X^3*Y^-1*X^2*Y^-2 ] Chiral map of genus 352 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^2*X^-1*Y^-2 ] Chiral map of genus 352 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-3*X*Y^-1, (X*Y^-1)^6, Y^2*X*Y^-1*X*Y^-1*X*Y^-3*X*Y ] Chiral map of genus 352 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, Y^-2*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 352 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-1)^6, Y^-2*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 352 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y*X^-1*Y^-2*X^3*Y^2 ] Chiral map of genus 352 and type {12,18}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-1*X)^2, X^12, Y^2*X^-1*Y^4*X^2*Y^4*X^-1*Y^2, Y*X*Y^-4*X*Y^-1*X*Y^-2*X*Y^4 ] Chiral map of genus 379 and type {12,36}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-3*X*Y^-1, Y*X^-2*Y*X^3*Y^-2*X*Y^2 ] Chiral map of genus 379 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, (X*Y^-2*X*Y^-1*X)^2, (Y^2*X^-1*Y^3)^2, Y*X*Y^-1*X^-1*Y*X^3*Y^-1*X*Y^2*X^-2, X^-1*Y^2*X^-1*Y*X^3*Y*X^-1*Y^-4 ] Chiral map of genus 379 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, (X*Y^-1*X^4)^2, Y*X*Y^-2*X^3*Y*X^-2*Y^2 ] Chiral map of genus 379 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-3*X*Y^-1, (X*Y^-1)^6, Y^-2*X^-2*Y*X^3*Y^3*X^-1*Y^-2 ] Chiral map of genus 379 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, X^12, Y^2*X^-1*Y^4*X^2*Y^4*X^-1*Y^2, Y^-3*X^-1*Y^2*X*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 379 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^12, X^-1*Y*X^3*Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 379 and type {12,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y^-1*X^2*Y^-1*X^3*Y^-2*X^3, (X*Y^-1)^6, X^-1*Y*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 388 and type {12,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, Y^-8*X^2*Y^-1*X*Y^7*X^-1*Y^-2 ] Chiral map of genus 394 and type {12,81}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^12, Y^-14*X^5*Y^4*X^-1*Y^-6*X^-2*Y^-3 ] Chiral map of genus 397 and type {12,108}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, Y^2*X*Y^-6*X^2*Y^-1*X^-2*Y^-7*X*Y^2 ] Chiral map of genus 400 and type {12,162}_324 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^27*X^-1*Y^-1*X^2*Y^-4*X*Y^22 ] Chiral map of genus 403 and type {12,324}_162 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^12, Y^27*X^-2*Y^4*X^-1*Y^-4*X*Y^19 ] Chiral map of genus 379 and type {18,18}_12 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y*X^6*Y^5, X^3*Y^-3*X^-3*Y^2*X^-2*Y^-2*X*Y^2, X^18 ] Chiral map of genus 397 and type {18,27}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-2*X^2*Y^3*X^-1, X^-1*Y*X^3*Y^-1*X^2*Y^-1*X*Y*X^-1*Y^-5 ] Chiral map of genus 397 and type {18,27}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^2*X*Y^-1*X^-3*Y*X^-1*Y*X^-3 ] Chiral map of genus 397 and type {18,27}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-2*Y*X^-3*Y*X^-2*Y*X^-1*Y^-1 ] Chiral map of genus 397 and type {18,27}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y*X*Y^-1*X^-3*Y*X^-2*Y*X^-1*Y ] Chiral map of genus 406 and type {18,36}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, (X*Y^-1*X^4)^2, Y^-1*X^-1*Y*X^5*Y*X^-1*Y^-2*X*Y^-1, Y^-4*X*Y^-2*X^2*Y^3*X^-2*Y^-1*X, Y^-3*X^-1*Y^2*X*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 406 and type {18,36}_12 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X^-3*Y*X^5*Y*X^-2*Y*X^-1*Y*X^-1, Y^-2*X^2*Y^-1*X^2*Y^-1*X^2*Y^-8 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-2*X*Y^-1*X*Y^3*X^-1*Y, Y*X^7*Y*X^-5, Y^3*X*Y^-3*X^2*Y^-1*X*Y^5, X^18 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^2*Y^-1*X^3*Y*X^-1*Y*X^-2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-5*X*Y^6, Y*X^8*Y*X^-1*Y^2*X^-3, X^18 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-2*X^-2*Y^5*X^2*Y*X^-1*Y^2*X^-1*Y^-2 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, (X*Y^-1*X^4)^2, Y^2*X^-1*Y*X^3*Y*X^-1*Y^2*X^-1, Y^2*X^-1*Y^4*X^2*Y^4*X^-1*Y^2, Y^-3*X^-1*Y^2*X*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, X^-2*Y*X^4*Y^-1*X*Y^-1*X*Y^-1, (X*Y^-3*X^2)^2, Y^-3*X^-1*Y^2*X*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, X^-2*Y*X^4*Y^-1*X*Y^-1*X*Y^-1, (X*Y^-3*X^2)^2, Y^-1*X^-1*Y^4*X*Y^-1*X*Y^2*X^-1*Y^-4 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-2*X^4*Y*X^-1*Y^-1*X, Y^36 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, (X*Y^-1*X^4)^2, (X*Y^-3*X^2)^2, Y^-1*X^-1*Y*X*Y^-3*X^2*Y^-7, X^18 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, X^18, X^3*Y^-5*X^-6*Y^-1*X^3*Y^6 ] Chiral map of genus 406 and type {18,36}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-2)^2, X*Y^-1*X*Y^-1*X^5*Y*X^-4*Y^-1*X, X^-1*Y^4*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-5 ] Chiral map of genus 424 and type {18,108}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y*X*Y^-4*X^3*Y^7, X^18 ] Chiral map of genus 424 and type {18,108}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^5*X*Y^-1*X^2*Y^-3*X*Y^3, X^18 ] Chiral map of genus 424 and type {18,108}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, X^-2*Y*X^4*Y^-1*X*Y*X^-1*Y, Y^-4*X^-1*Y^2*X^2*Y^4*X^-1*Y^-2, X^18 ] Chiral map of genus 424 and type {18,108}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, X^18, Y^18*X^-1*Y^-2*X^2*Y^-6*X*Y^10 ] Chiral map of genus 406 and type {24,24}_6 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-1*X*Y^-1*X^4*Y^-3*X^2, (X^3*Y^-1)^3, Y^-1*X*Y^-2*X^3*Y^-4*X ] Chiral map of genus 406 and type {24,24}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-1*X*Y^-1*X^2 ] Chiral map of genus 406 and type {24,24}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, X*Y^-1*X*Y^-1*X^5*Y^-1*X^2*Y*X^-1*Y^-1*X ] Chiral map of genus 406 and type {24,24}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, X*Y^-1*X^5*Y^-2*X^3 ] Chiral map of genus 406 and type {24,24}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, X*Y^-1*X*Y^-1*X^3*Y^-1*X^2*Y^-2 ] Chiral map of genus 406 and type {24,24}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^2*Y*X^-1*Y, Y^-2*X^-1*Y*X^3*Y^2*X^-2*Y^-1, X*Y^-1*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 406 and type {24,24}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-1*X^6*Y^-3*X*Y^-1, Y^-1*X^2*Y^-1*X^3*Y^-5 ] Chiral map of genus 424 and type {27,36}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, X*Y^-1*X^-1*Y*X*Y^-2*X*Y^-1*X^-2*Y^-1*X^3*Y^-2 ] Chiral map of genus 424 and type {27,36}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-1*X^-6*Y^2*X^-3*Y^-1, Y^-5*X^-2*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 424 and type {27,36}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-1*X^-6*Y^2*X^-3*Y^-1, Y^-1*X*Y^-3*X^-2*Y^-1*X*Y^-3*X ] Chiral map of genus 424 and type {27,36}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1, Y^-1*X^-6*Y^2*X^-3*Y^-1, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-4 ] Chiral map of genus 433 and type {27,54}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X^-1*Y*X*Y^-2*X^2*Y*X^-1*Y^2*X^-1*Y^-1, X*Y^-2*X^2*Y^-1*X^4*Y^-1*X^8*Y^-1*X^2*Y^-1*X^4 ] Chiral map of genus 442 and type {27,108}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X*Y^-2*X^4*Y*X^-1*Y^4, X^4*Y^-2*X^2*Y^-1*X^4*Y^-1*X^7*Y^-1*X^2*Y^-1*X^2 ] Chiral map of genus 433 and type {36,36}_6 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, (X*Y^-1*X^4)^2, Y*X*Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y, Y*X*Y^-2*X*Y^-2*X^2*Y^3*X^-1*Y^2*X^-1, Y^-1*X^-1*Y^4*X*Y^-1*X*Y^2*X^-1*Y^-4 ] Chiral map of genus 433 and type {36,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, X^-3*Y^2*X^-6*Y^2*X^-4*Y*X^-11*Y*X^-3*Y^2*X^-1 ] Chiral map of genus 433 and type {36,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X, (X*Y^-3*X^2)^2, X^10*Y*X^-1*Y^-1*X*Y^-2, Y*X^-2*Y*X*Y^-3*X^-1*Y^3*X*Y^-1*X^-1*Y^9 ] Chiral map of genus 433 and type {36,36}_18 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-3*X^4*Y^-2*X^2*Y^-1 ] Chiral map of genus 433 and type {36,36}_18 isomorphic to its mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, (X*Y^-1*X^4)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1 ] Chiral map of genus 433 and type {36,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, (X*Y^-1*X^4)^2, Y^2*X*Y^-3*X^-2*Y*X*Y^-2*X^2*Y^4 ] Chiral map of genus 433 and type {36,36}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, (X*Y^-1*X^4)^2, X*Y^-2*X^4*Y^-2*X*Y^-2, Y*X*Y^-3*X^-1*Y*X^2*Y^3*X^-1*Y^-1*X*Y, Y^-3*X^-1*Y^2*X*Y^-1*X*Y^4*X^-1*Y^-2 ] Chiral map of genus 442 and type {36,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-7*X^-1*Y*X*Y^-1*X^2*Y^-9 ] Chiral map of genus 442 and type {36,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y^-2*X^-1*Y^4*X^2*Y^2*X^-1*Y^-4, Y^-1*X^9*Y^-1*X*Y^-6 ] Chiral map of genus 442 and type {36,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y^6*X^3*Y^-4*X*Y^2, X^10*Y^-5*X^2*Y^-1 ] Chiral map of genus 442 and type {36,54}_108 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y^3*X*Y^-3*X^2*Y^-1*X*Y^5, X^10*Y^-2*X^2*Y^-4 ] Chiral map of genus 451 and type {36,108}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^6*Y*X^-1*Y^2*X^-1, X^-1*Y^4*X^-1*Y*X^-3*Y*X^-1*Y^2*X^-2*Y^4*X^-1*Y*X^-8*Y^3*X^-1*Y^2 ] Chiral map of genus 451 and type {36,108}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y*X^-2*Y*X^-1, Y^3*X^4*Y*X^-1*Y^-1*X*Y, Y^-1*X^2*Y^-5*X*Y^-1*X^2*Y^-2*X*Y^-3*X^8*Y^-2*X^3*Y^-2*X^3 ] Chiral map of genus 451 and type {36,108}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^4, Y*X^6*Y*X^-1*Y^2*X^-1, X*Y^-1*X^8*Y^-1*X*Y^-1*X*Y^-3*X^3*Y^-1*X^8*Y^-3*X^4 ] Chiral map of genus 451 and type {36,108}_54 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y^-6*X^-1*Y^3*X^-2*Y^4*X^-1*Y^-5, X^-3*Y*X^-1*Y^2*X^-3*Y*X^-11*Y^2*X^-3*Y^4*X^-1*Y^2*X^-2 ] Chiral map of genus 460 and type {54,108}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y, Y*X^8*Y*X^-4*Y^2, X^2*Y^-2*X^6*Y^-2*X^3*Y^-1*X*Y^-5*X^2*Y^-1*X^8*Y^-1*X*Y^-2*X*Y^-2*X^3*Y^-1*X^3*Y^-7 ] Chiral map of genus 460 and type {54,108}_36 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X*Y^-4*X^3*Y^7, Y*X^-1*Y*X^-9*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-9*Y^2*X^-3*Y^4*X^-1*Y^2*X^-9 ] Chiral map of genus 460 and type {72,72}_6 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, X^2*Y^-10*X^2*Y^-3*X^3*Y^-1*X*Y^-1*X^7*Y^-6 ] Chiral map of genus 469 and type {108,108}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y^2*X^-2, X^82*Y^-1*X^7*Y^-1*X^10*Y^-1*X^2*Y^-1*X*Y^-2 ] Chiral map of genus 478 and type {216,216}_6 isomorphic to its dual Automorphism group of order 1944 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X^5*Y*X^-1*Y^2, X^84*Y^-5*X^2*Y^-1*X^10*Y^-2*X^3*Y^-1 ] .......................... Chiral maps with 975 edges .......................... Chiral map of genus 1 and type {3,6}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1950 with defining relations: [ (X*Y)^2, X^3, Y^6, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X*Y^-1*X*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^3*X^-1*Y^2*X^-1*Y ] Chiral map of genus 313 and type {6,75}_650 not isomorphic to its dual or mirror-dual Automorphism group of order 1950 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y*X^-1*Y*X*Y^-1*X^-2*Y*X^2*Y^-1*X^3*Y^-1*X^2*Y^-1*X^2*Y*X^-1, Y^-14*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^4*X^-1*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 391 and type {15,30}_130 not isomorphic to its dual or mirror-dual Automorphism group of order 1950 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y^2*X^-2, Y*X^2*Y^-1*X^2*Y^4, X^-15, Y*X^-1*Y^2*X^-4*Y*X^-1*Y^3*X^-1*Y ] Chiral map of genus 469 and type {75,150}_26 not isomorphic to its dual or mirror-dual Automorphism group of order 1950 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X^-1*Y^2*X*Y^-1*X*Y^-2*X*Y^2, X*Y^-1*X^32*Y^-2*X*Y^-1*X^2*Y^-4*X^3*Y^-2*X*Y^-1*X^12*Y^-2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-2 ] .......................... Chiral maps with 976 edges .......................... Chiral map of genus 1 and type {4,4}_244 isomorphic to its dual Automorphism group of order 1952 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 123 and type {4,8}_488 not isomorphic to its dual or mirror-dual Automorphism group of order 1952 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2*X^2*Y ] Chiral map of genus 123 and type {4,8}_488 not isomorphic to its dual or mirror-dual Automorphism group of order 1952 with defining relations: [ (X*Y)^2, X^4, Y^8, (X*Y^-3)^2, X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^2*Y ] Chiral map of genus 245 and type {8,8}_244 isomorphic to its dual Automorphism group of order 1952 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^2*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y ] Chiral map of genus 245 and type {8,8}_244 isomorphic to its dual Automorphism group of order 1952 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, X^-1*Y*X^-1*Y^-2*X^-2*Y^-2*X^2*Y^-2*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y ] Chiral map of genus 367 and type {16,16}_122 isomorphic to its dual Automorphism group of order 1952 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 367 and type {16,16}_244 isomorphic to its dual Automorphism group of order 1952 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^16, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X ] .......................... Chiral maps with 978 edges .......................... Chiral map of genus 164 and type {6,6}_326 not isomorphic to its dual or mirror-dual Automorphism group of order 1956 with defining relations: [ (X*Y)^2, X^6, Y^6, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-2*Y^-1*X^2*Y*X^-2*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1 ] .......................... Chiral maps with 979 edges .......................... Chiral map of genus 357 and type {11,22}_178 not isomorphic to its dual or mirror-dual Automorphism group of order 1958 with defining relations: [ (X*Y)^2, X^-11, Y*X^-1*Y*X^-3*Y^4*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 357 and type {11,22}_178 not isomorphic to its dual or mirror-dual Automorphism group of order 1958 with defining relations: [ (X*Y)^2, X^-11, X^-2*Y^2*X^-2*Y*X^-1*Y^3 ] Chiral map of genus 357 and type {11,22}_178 not isomorphic to its dual or mirror-dual Automorphism group of order 1958 with defining relations: [ (X*Y)^2, X^-11, Y^2*X^-4*Y*X^-2*Y*X^-1 ] Chiral map of genus 357 and type {11,22}_178 not isomorphic to its dual or mirror-dual Automorphism group of order 1958 with defining relations: [ (X*Y)^2, X^-11, X^-1*Y*X^-4*Y^5 ] Chiral map of genus 357 and type {11,22}_178 not isomorphic to its dual or mirror-dual Automorphism group of order 1958 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, X^-11, X^-1*Y^2*X^-3*Y^3*X^-1*Y ] .......................... Chiral maps with 980 edges .......................... Chiral map of genus 1 and type {4,4}_70 isomorphic to its dual Automorphism group of order 1960 with defining relations: [ (X*Y)^2, X^4, Y^4, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 241 and type {4,196}_490 not isomorphic to its dual or mirror-dual Automorphism group of order 1960 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-1*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^49*X^2*Y*X^-1*Y^-2*X*Y^46 ] Chiral map of genus 421 and type {28,28}_70 not isomorphic to its dual or mirror-dual Automorphism group of order 1960 with defining relations: [ (X*Y)^2, Y*X^5*Y*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^2*X^-1, Y*X*Y^-6*X^-2*Y^-1*X*Y^6, Y^-4*X*Y^-3*X^2*Y^-3*X^5*Y^-2*X*Y^-3*X*Y^-3 ] Chiral map of genus 421 and type {28,28}_70 isomorphic to its dual Automorphism group of order 1960 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X*Y^4*X*Y^-3*X^-10*Y^-1*X*Y^5*X^-1*Y^-1 ] Chiral map of genus 481 and type {196,196}_10 isomorphic to its dual Automorphism group of order 1960 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X^2*Y*X^-1*Y, X*Y^-154*X^5*Y^-7*X^15*Y^-3*X*Y^-10 ] Chiral map of genus 483 and type {245,245}_4 isomorphic to its mirror-dual Automorphism group of order 1960 with defining relations: [ (X*Y)^2, Y*X^4*Y^2*X^-1, X^3*Y^-65*X^15*Y^-1*X*Y^-158*X^2 ] .......................... Chiral maps with 981 edges .......................... Chiral map of genus 1 and type {3,6}_654 not isomorphic to its dual or mirror-dual Automorphism group of order 1962 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^-1 ] Chiral map of genus 328 and type {9,18}_218 not isomorphic to its dual or mirror-dual Automorphism group of order 1962 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y*X^-1*Y*X^-3*Y^-1*X*Y^3*X^-1 ] Chiral map of genus 328 and type {9,18}_218 not isomorphic to its dual or mirror-dual Automorphism group of order 1962 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y*X*Y^-1*X^3*Y*X^-2*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 328 and type {9,18}_218 not isomorphic to its dual or mirror-dual Automorphism group of order 1962 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y*X*Y^-1*X^-3*Y^6 ] Chiral map of genus 328 and type {9,18}_218 not isomorphic to its dual or mirror-dual Automorphism group of order 1962 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y*X^-1*Y^-1 ] .......................... Chiral maps with 984 edges .......................... Chiral map of genus 165 and type {4,12}_492 not isomorphic to its dual or mirror-dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^12, Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^-2*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y*X^-1*Y^2*X^-1*Y*X^-2 ] Chiral map of genus 329 and type {8,24}_246 not isomorphic to its dual or mirror-dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, X^-1*Y*X^-1*Y^2*X*Y^-2*X^2*Y^-1*X^-2*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 329 and type {8,24}_246 not isomorphic to its dual or mirror-dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-3*X^2*Y*X^-1*Y^3 ] Chiral map of genus 329 and type {8,24}_246 not isomorphic to its dual or mirror-dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^3*Y^-1*X^-3*Y*X^-1*Y^-2*X*Y ] Chiral map of genus 329 and type {8,24}_492 not isomorphic to its dual or mirror-dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-5*X^4*Y^-7, X^-1*Y^-2*X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1*X*Y^-1*X*Y^2 ] Chiral map of genus 329 and type {12,12}_164 isomorphic to its dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, X^12, Y^-2*X^5*Y^-3*X*Y^-1, Y*X*Y^-1*X^4*Y*X^-1*Y^3, X^-2*Y^2*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-2*X^2*Y^-2 ] Chiral map of genus 329 and type {12,12}_164 isomorphic to its dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^12, X*Y^-1*X^-2*Y*X^-1*Y^2*X^-1*Y*X^2*Y^-2*X*Y^-1*X^-2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X*Y*X^-1*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2 ] Chiral map of genus 411 and type {24,24}_82 isomorphic to its dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^-3*Y*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^3, X*Y^-1*X*Y^-1*X*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X*Y^-1 ] Chiral map of genus 411 and type {24,24}_82 not isomorphic to its dual or mirror-dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-2*X^3*Y^2*X^-1*Y*X^-1, Y*X*Y^-3*X^2*Y*X^-1*Y^3, Y^6*X^-1*Y^2*X^-10*Y^2*X^-1*Y^2 ] Chiral map of genus 411 and type {24,24}_164 isomorphic to its dual Automorphism group of order 1968 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-2*Y^-1*X ] .......................... Chiral maps with 986 edges .......................... Chiral map of genus 1 and type {4,4}_986 isomorphic to its dual Automorphism group of order 1972 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 1 and type {4,4}_986 isomorphic to its dual Automorphism group of order 1972 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^-2*Y^-2*X^-2*Y^-2*X^-2*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1 ] Chiral map of genus 465 and type {68,68}_58 isomorphic to its dual Automorphism group of order 1972 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y*X^-1*Y*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-2, Y^-1*X*Y^-1*X*Y^-1*X*Y^-2*X*Y^-1*X^14*Y^-9*X ] Chiral map of genus 477 and type {116,116}_34 isomorphic to its dual Automorphism group of order 1972 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1*Y*X^-1, Y^-1*X*Y^-17*X^2*Y^-1*X*Y^-7*X^18*Y^-9*X ] .......................... Chiral maps with 987 edges .......................... Chiral map of genus 323 and type {6,141}_658 not isomorphic to its dual or mirror-dual Automorphism group of order 1974 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X*Y^-1*X^-3*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-25*X^2*Y^-1*X*Y*X^-1*Y^-1*X*Y^4*X^-1*Y^-15 ] Chiral map of genus 484 and type {141,282}_14 not isomorphic to its dual or mirror-dual Automorphism group of order 1974 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y*X*Y^-2*X^2*Y^2*X^-1*Y, X^2*Y^-1*X^101*Y^-1*X*Y^-1*X*Y^-2*X^4*Y^-3*X^10*Y^-3*X^2*Y^-4*X*Y^-1*X^3 ] .......................... Chiral maps with 988 edges .......................... Chiral map of genus 235 and type {4,76}_494 not isomorphic to its dual or mirror-dual Automorphism group of order 1976 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^2, Y^19*X^2*Y^2*X^-1*Y^-6*X*Y^2*X^-1*Y^-2*X*Y^7 ] Chiral map of genus 469 and type {76,76}_26 isomorphic to its dual Automorphism group of order 1976 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^-1*Y*X^2*Y^-1*X*Y^-1*X*Y, X^36*Y^-1*X*Y^-1*X*Y^-1*X*Y^-6*X^18*Y^-9*X ] .......................... Chiral maps with 990 edges .......................... Chiral map of genus 386 and type {10,90}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, X^10, Y^-1*X*Y^-2*X^2*Y^-1*X*Y^-2, Y^3*X*Y^-3*X^-1*Y^3*X^-1*Y^-6*X*Y^3 ] Chiral map of genus 386 and type {10,90}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, X^10, X*Y^-2*X^3*Y^-1*X^2*Y^-1, Y^-5*X^2*Y^-2*X^-1*Y^2*X^-2*Y^3*X^-2*Y^2*X^-1*Y^-4 ] Chiral map of genus 386 and type {10,90}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y^2*X^-1, Y*X^-1*Y^-7*X^-1*Y*X^-4*Y^9 ] Chiral map of genus 386 and type {10,90}_198 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, X^10, (X*Y^-2*X^2)^2, (X*Y^-1*X*Y^-1*X)^2, Y^-1*X^4*Y^-1*X^-2*Y^3*X^-2*Y^-1, Y^-1*X^-1*Y*X*Y^-6*X^-1*Y^2*X^-1*Y^-8 ] Chiral map of genus 430 and type {30,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X^2*Y^-2*X^4*Y^-1*X*Y^-1*X^2*Y^-2*X^11*Y^-4 ] Chiral map of genus 430 and type {30,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, Y*X^6*Y*X^-1*Y*X^-1*Y, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y^5*X^-1*Y*X^-1*Y*X^-2*Y*X^-1*Y*X^-1*Y*X^-8*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 430 and type {30,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y^2*X^2*Y*X^-1*Y^-2, Y*X^7*Y^2*X^-3*Y, X^-1*Y^6*X^-1*Y^3*X^-2*Y*X^-3*Y*X^-6*Y*X^-1*Y^4 ] Chiral map of genus 430 and type {30,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1, Y*X^7*Y^2*X^-3*Y, X^-7*Y^3*X^-2*Y^3*X^-1*Y^2*X^-5*Y^3*X^-1*Y*X^-2 ] Chiral map of genus 430 and type {30,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, (X*Y^-2*X^2)^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^3*Y^-1*X^4*Y^-3*X*Y^2 ] Chiral map of genus 430 and type {30,30}_66 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, (X*Y^-2*X^2)^2, Y^-1*X^-1*Y*X^4*Y^3*X^-1*Y^-1 ] Chiral map of genus 451 and type {44,44}_30 isomorphic to its dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X^2*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-3*X*Y^-1*X^2*Y^-1 ] Chiral map of genus 474 and type {90,90}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, Y*X^5*Y^3*X^-1, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y^-1*X^63*Y^-1*X^4*Y^-4*X^14*Y^-1*X*Y^-1 ] Chiral map of genus 474 and type {90,90}_22 not isomorphic to its dual or mirror-dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-1*X^3*Y*X^-2*Y, X^67*Y^-3*X*Y^-1*X*Y^-1*X^13*Y^-1*X^2 ] Chiral map of genus 491 and type {396,396}_10 isomorphic to its dual Automorphism group of order 1980 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^158*Y^-1*X*Y^-1*X*Y^-4*X^3*Y^-1*X^17*Y^-10*X ] .......................... Chiral maps with 992 edges .......................... Chiral map of genus 449 and type {31,62}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1984 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y^4*X^-1*Y, X^-2*Y^2*X^-1*Y*X^-3*Y^2*X^-4*Y*X^-1*Y^2*X^-6*Y*X^-1*Y^3*X^-1 ] Chiral map of genus 449 and type {31,62}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1984 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y^3*X^-3, X^-2*Y*X^-5*Y*X^-3*Y*X^-1*Y*X^-1*Y^2*X^-7*Y*X^-2*Y*X^-2 ] Chiral map of genus 449 and type {31,62}_4 not isomorphic to its dual or mirror-dual Automorphism group of order 1984 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y^-1*X^-2*Y*X^3*Y*X^-2*Y^-1*X, Y*X^7*Y*X^-2*Y^2*X^-1, Y^2*X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-3*Y*X^-8*Y^3*X^-1*Y*X^-1 ] Chiral map of genus 465 and type {62,62}_4 isomorphic to its mirror-dual Automorphism group of order 1984 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^3*X^-1*Y, X^-2*Y*X^-2*Y^41*X^-1*Y^2*X^-8*Y^2*X^-1*Y*X^-1 ] Chiral map of genus 465 and type {62,62}_4 isomorphic to its mirror-dual Automorphism group of order 1984 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y*X^-1*Y*X^-2, X^-3*Y*X^-41*Y^2*X^-10*Y^3*X^-2 ] Chiral map of genus 465 and type {62,62}_4 isomorphic to its mirror-dual Automorphism group of order 1984 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^6*Y^4*X^-1, X^-2*Y*X^-1*Y^42*X^-1*Y*X^-9*Y*X^-1*Y^2*X^-1 ] .......................... Chiral maps with 993 edges .......................... Chiral map of genus 1 and type {3,6}_662 not isomorphic to its dual or mirror-dual Automorphism group of order 1986 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-3*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-3*X^-1*Y*X^-1*Y^3*X*Y^-2*X*Y^-2*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^-1 ] .......................... Chiral maps with 994 edges .......................... Chiral map of genus 356 and type {14,14}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 1988 with defining relations: [ (X*Y)^2, Y*X^-2*Y*X^3*Y^-1*X^2*Y*X^-1, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^14, X*Y^-1*X^6*Y^-1*X*Y^-1*X*Y^-1*X ] Chiral map of genus 356 and type {14,14}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 1988 with defining relations: [ (X*Y)^2, X^-2*Y*X^4*Y*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^14, X*Y^-1*X^6*Y^-3*X*Y^-2 ] Chiral map of genus 356 and type {14,14}_142 not isomorphic to its dual or mirror-dual Automorphism group of order 1988 with defining relations: [ (X*Y)^2, Y*X^-2*Y*X^3*Y^-2*X*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^14, (X*Y^-2*X^4)^2, Y^-1*X^-1*Y*X^5*Y*X^-4*Y^-1 ] .......................... Chiral maps with 999 edges .......................... Chiral map of genus 1 and type {3,6}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^3, Y^6, Y^-1*X*Y^-2*X*Y^-2*X^-1*Y^2*X*Y^-2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-3*X*Y^-1*X*Y^3*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2*X*Y^2*X^-1*Y^-2 ] Chiral map of genus 223 and type {6,9}_666 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y^-1*X^2*Y*X^-2*Y^-2*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 223 and type {6,9}_666 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2*X^-2*Y*X^-1 ] Chiral map of genus 223 and type {6,9}_666 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^6, Y^9, (X*Y^-2)^2, X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y*X^-1*Y^-1*X*Y^-1*X^2*Y^-1*X*Y^-1*X^-2*Y*X^-2*Y*X^-2*Y*X^-2*Y^-1*X^2*Y^-2*X^-1*Y*X*Y^-1*X^-1 ] Chiral map of genus 331 and type {6,333}_666 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^6, (X*Y^-2)^2, Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-1*X, Y^-56*X^-2*Y^-1*X^2*Y^-54 ] Chiral map of genus 334 and type {9,18}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^9, Y*X^4*Y*X^-2, Y^2*X^-3*Y^4, Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X^-1*Y*X*Y^-1*X*Y^-2*X*Y^-2*X*Y^-2*X*Y^3*X^-1*Y*X^-1*Y^-2*X*Y^-1*X*Y*X^-1*Y^-1 ] Chiral map of genus 334 and type {9,18}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y*X^2*Y^-1*X^3*Y^4*X^-1 ] Chiral map of genus 334 and type {9,18}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X*Y^-1*X*Y^-1*X^-2*Y^-1*X*Y^-4 ] Chiral map of genus 334 and type {9,18}_222 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, X^9, (Y*X^-1*Y)^3, Y*X*Y^-2*X^3*Y*X^-2*Y^2, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X ] Chiral map of genus 445 and type {27,54}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, Y*X^4*Y*X^-2, Y*X^2*Y^-1*X^2*Y^4, Y^-1*X*Y^-1*X^-2*Y^3*X*Y^-2*X^-1*Y*X^-1*Y^2*X^-1*Y^-2*X*Y^-2, X^-2*Y*X^-23*Y ] Chiral map of genus 445 and type {27,54}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^3*Y^4*X^-1, Y*X*Y^-2*X^3*Y*X^-1*Y*X^-1*Y, Y*X*Y^-3*X^2*Y*X^-1*Y^3, Y^3*X^-3*Y^2*X^-1*Y^3*X^-5*Y^2*X^-1*Y*X^-3*Y^3 ] Chiral map of genus 445 and type {27,54}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, Y^3*X^3*Y^-1*X*Y^2, Y*X^2*Y^-1*X^4*Y^3*X^-1*Y*X^-1, X^2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1*X*Y^-3*X^9*Y^-1*X*Y^-1*X ] Chiral map of genus 445 and type {27,54}_74 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y*X^-2, Y*X*Y^-2*X^3*Y*X^-2*Y^2, Y^-3*X^2*Y^-3*X*Y^-1*X^7*Y^-1*X*Y^-1*X*Y^-2*X^3*Y^-1 ] Chiral map of genus 493 and type {222,333}_18 not isomorphic to its dual or mirror-dual Automorphism group of order 1998 with defining relations: [ (X*Y)^2, Y*X^5*Y^2*X^-1*Y, Y*X*Y^-1*X^3*Y^4, Y^-84*X*Y^-1*X^2*Y^-1*X^14*Y^-3*X*Y^-2*X^2 ] ........................... Chiral maps with 1000 edges ........................... Chiral map of genus 1 and type {4,4}_100 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^4, Y^4, X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^-2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y ] Chiral map of genus 1 and type {4,4}_500 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^4, Y^4, X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^2*X^2*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1 ] Chiral map of genus 201 and type {4,20}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^4, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, (X*Y^-2)^4, Y^-1*X^-1*Y^2*X^-1*Y*X*Y^-1*X*Y^2*X^-1*Y^-1*X*Y^-2, Y^20 ] Chiral map of genus 201 and type {4,20}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^4, Y^3*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X*Y, Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1, (X*Y^-1)^10 ] Chiral map of genus 201 and type {4,20}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, Y^-2*X*Y^-1*X*Y^-1*X^-1*Y*X^-1*Y*X*Y^-1*X^-1*Y*X^2*Y^-1*X*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^-1*X, Y^20 ] Chiral map of genus 241 and type {4,100}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^4, (X*Y^-3)^2, X*Y^-1*X^-1*Y*X*Y^-1*X^2*Y*X^-1*Y^-2, Y^100 ] Chiral map of genus 251 and type {8,8}_4 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, X^-2*Y^-4*X^4*Y^2 ] Chiral map of genus 251 and type {8,8}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X*Y^-1*X^2*Y^-1*X^2*Y*X^-1*Y^-3 ] Chiral map of genus 251 and type {8,8}_10 isomorphic to its mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, Y*X^2*Y^-1*X^-3*Y^4*X^-1*Y^2, Y^-1*X^-2*Y*X^-4*Y^-1*X^3*Y^-1*X ] Chiral map of genus 251 and type {8,8}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y*X^3*Y^-1*X^3*Y*X^-1*Y^3*X^-1, Y*X^-1*Y*X*Y^-1*X^3*Y^2*X^-1*Y*X^-2 ] Chiral map of genus 251 and type {8,8}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, X*Y^-3*X^3*Y^-2*X*Y^-1*X, Y^-2*X^2*Y^-1*X^2*Y^-1*X*Y^-2*X ] Chiral map of genus 251 and type {8,8}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, X*Y^-1*X*Y^-1*X^3*Y*X^-1*Y^-3, X*Y^-1*X^2*Y^-1*X^3*Y^-2*X*Y*X^-1*Y, X^-1*Y*X^-1*Y^2*X^3*Y^-1*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 251 and type {8,8}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-2*X^-1*Y*X^3*Y^-1*X*Y^-1*X*Y^-1, X*Y^-1*X^2*Y^-1*X^3*Y^-1*X^2*Y^3, Y^-2*X*Y^-2*X^-3*Y^4*X^-1*Y*X^-1*Y^-1 ] Chiral map of genus 251 and type {8,8}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^-1*Y^2*X^-4*Y^-1*X^3*Y^-2, X*Y^-4*X^-3*Y^-1*X^2*Y^-3, X^-1*Y*X^-1*Y^2*X^3*Y^-1*X*Y*X^-1*Y*X^-1 ] Chiral map of genus 251 and type {8,8}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, (X*Y^-1)^4, Y^-1*X^-2*Y*X^-4*Y^-1*X^3*Y^-1*X, X*Y^-4*X^-1*Y*X^-1*Y^-2*X*Y^-3, X^-2*Y*X*Y^-1*X^3*Y^3*X^-2*Y ] Chiral map of genus 251 and type {8,8}_50 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-2*X*Y^-1*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 251 and type {8,8}_100 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X*Y^-1*X*Y^-1*X ] Chiral map of genus 251 and type {8,8}_250 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y^-1*X*Y^-1*X*Y^-1*X^-1*Y*X^2*Y^-2*X^2*Y^-2*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y^-2*X^-1*Y*X^-1*Y*X^-1*Y*X^2*Y^2*X^2*Y^2*X ] Chiral map of genus 251 and type {8,8}_500 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, Y^8, Y^-1*X^4*Y^-3, Y*X^-1*Y*X^-1*Y*X^-1*Y*X*Y^-1*X^-2*Y^2*X^-1*Y*X^2*Y^-2*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1*X*Y^2*X^-2*Y*X^-1*Y^-1*X*Y^2*X^2*Y^2*X^-1 ] Chiral map of genus 351 and type {8,40}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X*Y^-1*X*Y^-1*X^2*Y^-2*X^2*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, Y^-1*X^-1*Y^3*X*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 351 and type {8,40}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y^-1*X^-2*Y*X^-4*Y^-1*X^3*Y^-1*X, Y^-5*X^4*Y^-4*X^2*Y^-1 ] Chiral map of genus 351 and type {8,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, Y*X^2*Y^-2*X^2*Y^-1*X*Y^-1*X*Y, Y^2*X^-1*Y^2*X^3*Y^2*X^-1*Y^2*X^-1, X^-1*Y^2*X*Y^-2*X^3*Y^2*X^-1*Y^-4 ] Chiral map of genus 351 and type {8,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1)^4, Y^-1*X^3*Y^-1*X^-4*Y*X^-2*Y^-1*X, Y*X^3*Y^-1*X^3*Y*X^-1*Y^3*X^-1, Y^5*X*Y^-1*X^-1*Y^2*X^-1*Y^-1*X^3*Y ] Chiral map of genus 351 and type {8,40}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^2*X*Y^-2*X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-3*X^-1 ] Chiral map of genus 351 and type {8,40}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, X^-1*Y*X*Y^-1*X^-1*Y^2*X*Y^-1*X*Y^-1*X*Y^-1*X*Y^2*X^-1*Y^-3 ] Chiral map of genus 371 and type {8,200}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y^-1, Y^25*X*Y^-1*X*Y^2*X^-1*Y^-4*X^-1*Y^18 ] Chiral map of genus 371 and type {8,200}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^8, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^25*X^2*Y*X^-1*Y^-6*X*Y^18 ] Chiral map of genus 396 and type {10,200}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^20*X^2*Y*X^-1*Y^-4*X*Y^15 ] Chiral map of genus 396 and type {10,200}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, X^10, X*Y^-1*X^4*Y^-1*X*Y^-2, Y^20*X*Y^-3*X*Y^2*X^-1*Y^-1*X*Y^14 ] Chiral map of genus 401 and type {20,20}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y*X^-1*Y^2*X^-4*Y*X^-5*Y*X^-1*Y^3*X^-1, X^20 ] Chiral map of genus 401 and type {20,20}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-2*Y*X^5*Y^-1*X*Y*X^-2*Y, Y*X^-1*Y*X*Y^-1*X^3*Y*X^-2*Y^-1*X*Y, X^-1*Y*X^-2*Y^2*X^-7*Y*X^-2*Y^2*X^-2 ] Chiral map of genus 401 and type {20,20}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y^-1, X^20, Y^20 ] Chiral map of genus 401 and type {20,20}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X*Y^-2*X^-1*Y*X^2*Y^2*X^-2*Y^-1, X^-1*Y^2*X^-1*Y^2*X^-7*Y^2*X^-2*Y^2*X^-1 ] Chiral map of genus 401 and type {20,20}_100 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, X*Y^-1*X^-1*Y*X^-2*Y^2*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-2*X*Y^-1*X*Y^-1, X^-1*Y^3*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 401 and type {20,20}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^4*Y*X^-1*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X^2*Y^-2*X^2*Y^2*X^-1*Y*X^-1, Y^2*X^-1*Y*X^-2*Y*X^-1*Y*X^-2*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-1 ] Chiral map of genus 441 and type {20,100}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X^-10*Y*X^-1*Y^4*X^-1, Y^-2*X^-1*Y^8*X^2*Y^2*X^-1*Y^-8 ] Chiral map of genus 441 and type {20,100}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X^-10*Y*X^-1*Y^4*X^-1, Y^-3*X^-1*Y*X*Y^-1*X^-1*Y^5*X^-2*Y^2*X^-1*Y^-8 ] Chiral map of genus 446 and type {20,200}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X^-10*Y*X^-1*Y^4*X^-1, Y^10*X^2*Y*X^-1*Y^-4*X*Y^5 ] Chiral map of genus 446 and type {20,200}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^3*X^-10*Y*X^-1*Y^4*X^-1, Y^10*X*Y^-3*X*Y^2*X^-1*Y^-1*X*Y^4 ] Chiral map of genus 451 and type {40,40}_4 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y^-1*X^-1*Y*X^2*Y*X^-1*Y^-1, Y*X^7*Y*X^-1*Y*X^-1*Y*X^-1, Y*X^2*Y^-1*X^4*Y*X^-3*Y*X^-1, X^-7*Y*X^-4*Y^4*X^-2*Y*X^-1 ] Chiral map of genus 451 and type {40,40}_10 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1, Y^-2*X^-1*Y*X^7*Y^-2*X^2*Y^-5 ] Chiral map of genus 451 and type {40,40}_10 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, Y*X^7*Y*X^-1*Y^2*X^-2, X^-2*Y^3*X^-1*Y*X^-1*Y*X^-4*Y*X^-4*Y*X^-4*Y*X^-2*Y^2*X^-2*Y*X^-1*Y^2*X^-1*Y^5 ] Chiral map of genus 451 and type {40,40}_10 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^2*Y^-1*X*Y, Y*X*Y^-2*X^3*Y*X^-2*Y^2, X^-2*Y^2*X^3*Y*X^-1*Y^-3, Y*X^-2*Y^3*X^-2*Y^3*X^-1*Y^2*X^-2*Y*X^-3*Y*X^-7*Y*X^-3*Y*X^-1*Y*X^-1*Y*X^-2*Y ] Chiral map of genus 451 and type {40,40}_10 isomorphic to its mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^6*Y^2*X^-2*Y, Y*X*Y^-1*X^4*Y^4*X^-1, Y*X^-1*Y*X^-14*Y*X^-1*Y^2*X^-1*Y*X^-1*Y*X^-1*Y*X^-8*Y*X^-1*Y^3 ] Chiral map of genus 451 and type {40,40}_20 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X*Y^-3*X*Y^4, Y*X*Y^-1*X^4*Y^2*X^-3, Y*X^2*Y^-1*X^3*Y^2*X^-1*Y^2, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X^-1*Y^2*X^-6*Y*X^-1*Y*X^-4*Y^4 ] Chiral map of genus 451 and type {40,40}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X^5*Y*X^-2*Y*X^-2, X*Y^-1*X^-2*Y*X^3*Y^-1*X*Y*X^-1*Y^2, X^2*Y^-1*X^3*Y^-1*X^6*Y^-2*X^2*Y^-1*X*Y^-1 ] Chiral map of genus 451 and type {40,40}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, (X*Y^-1*X^2)^2, (X*Y^-3)^2, Y^-1*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y^-1*X*Y^-1, X^-1*Y*X*Y^-2*X^7*Y*X^-1*Y^-6 ] Chiral map of genus 451 and type {40,40}_50 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X*Y^-1*X*Y^-1*X*Y^-1*X^2*Y*X^-1*Y*X^-1*Y*X^-1*Y, Y^-3*X*Y^-8*X^18*Y^-8*X*Y^-1 ] Chiral map of genus 451 and type {40,40}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X*Y^-1*X^3*Y*X^-1*Y*X^-1, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X*Y^-11*X*Y^-1*X^3*Y^-3*X*Y^-3*X*Y^-1*X^6*Y^-3*X^2*Y^-1*X ] Chiral map of genus 451 and type {40,40}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y^-2*X^-1*Y*X^2*Y^2*X^-1*Y^-1, Y*X^6*Y^2*X^-1*Y*X^-1, X^-3*Y*X^-12*Y^4*X^-2*Y*X^-2*Y^4*X^-5*Y*X^-1*Y^3*X^-1 ] Chiral map of genus 451 and type {40,40}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, Y*X*Y^-1*X*Y^-1*X^2*Y^2*X^-2*Y, X*Y^-2*X*Y^-1*X*Y^-1*X^2*Y^-1*X^2*Y^-1*X^5*Y^-2 ] Chiral map of genus 451 and type {40,40}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^-1*Y*X^4*Y^-1*X*Y^3, Y^-1*X^-1*Y^2*X^3*Y^2*X^-1*Y^-1*X, X^-1*Y^2*X*Y^-1*X^2*Y*X^-1*Y^-1*X*Y, Y^4*X^-2*Y*X^-1*Y*X^-4*Y*X^-1*Y^2*X^-2*Y ] Chiral map of genus 451 and type {40,40}_100 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y^-1*X*Y^2*X^-1*Y*X^-1*Y*X*Y^-1*X*Y^-1*X^-2*Y^2*X^-1*Y*X^-2*Y^-1*X*Y^-2*X*Y^-1*X^2, Y*X^-1*Y*X^-1*Y*X^-5*Y*X^-1*Y*X^-1*Y*X^-1*Y^2*X^-2 ] Chiral map of genus 456 and type {40,50}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-6*X^2*Y^-1*X*Y*X^-1*Y^-2 ] Chiral map of genus 456 and type {40,50}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, X^-1*Y*X*Y^-3*X^2*Y^-6 ] Chiral map of genus 466 and type {40,100}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-5*X^3*Y*X^-1*Y^-4 ] Chiral map of genus 466 and type {40,100}_200 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y^-6*X^2*Y^-2*X*Y*X^-1*Y^-1 ] Chiral map of genus 471 and type {40,200}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^4*X*Y^-1*X^2*Y^-2*X*Y^3, Y*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y^2*X^-1*Y*X^-10*Y^2*X^-1*Y^2*X^-3*Y^2*X^-1*Y^2*X^-2 ] Chiral map of genus 471 and type {40,200}_50 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y*X*Y^-3*X^3*Y^6, X^-3*Y*X^-1*Y^2*X^-1*Y*X^-2*Y*X^-1*Y*X^-11*Y^2*X^-1*Y^2*X^-3*Y*X^-1*Y*X^-4 ] Chiral map of genus 471 and type {40,200}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, Y^6*X^-8*Y*X^-2*Y^3 ] Chiral map of genus 471 and type {40,200}_100 not isomorphic to its dual or mirror-dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^2*Y^-1*X^2*Y*X^-1*Y*X^-1, Y*X^6*Y*X^-1*Y^2*X^-1, Y*X*Y^-1*X^4*Y^3*X^-1*Y, X^-2*Y^4*X^-6*Y^2*X^-2*Y^4 ] Chiral map of genus 481 and type {100,100}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X^61*Y^-3*X*Y^-1*X*Y^-7*X^13*Y^-3*X*Y^-7*X*Y^-1 ] Chiral map of genus 491 and type {200,200}_10 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X^2*Y^-1*X*Y, X^160*Y^-1*X*Y^-1*X*Y^-4*X^3*Y^-1*X^17*Y^-8*X*Y^-1*X ] Chiral map of genus 491 and type {200,200}_20 isomorphic to its dual Automorphism group of order 2000 with defining relations: [ (X*Y)^2, Y*X^4*Y^3, Y*X^-1*Y*X*Y^-1*X^2*Y^-1*X*Y^2*X^-1, X*Y^-1*X^59*Y^-3*X*Y^-1*X*Y^-7*X^13*Y^-3*X*Y^-9 ] Number of maps listed = 4516 (up to isomorphism, mirror image and duality) Grand total number of maps = 15586