Magma V2.20-10 Thu Nov 13 2014 13:21:57 on mathcompprd01 [Seed = 2946146533] Type ? for help. Type -D to quit. Loading startup file "/home/eobr007/.magma.startup" Loading "code.m" Loading "sign.m" > > n := 8; > > p := 3; > G := eval Read ("plus-cover-s8-3"); > f := ProcessReps ([G], n); Consider the following repn 1 Input degree = 16 Defining field size = 3 Order of generators [ 2, 2, 2, 2, 2, 2, 2, 2 ] Composition Factors of G is G | Cyclic(2) * | Alternating(8) * | Cyclic(2) 1 Refined bound on degree is 15 Over refined degree limit -- so G has regular orbit ======================================== > > p := 5; > G := eval Read ("plus-cover-s8-5"); > H := SecondCover (G); G | Cyclic(2) * | Alternating(8) * | Cyclic(2) 1 > L := [G, H]; > f := ProcessReps (L, n); Consider the following repn 1 Input degree = 8 Defining field size = 5 Order of generators [ 2, 2, 2, 2, 2, 2, 2, 4 ] Composition Factors of G is G | Cyclic(2) * | Alternating(8) * | Cyclic(2) * | Cyclic(2) 1 Refined bound on degree is 9 Order of G is 161280 ... #O is now 13440 ... #O is now 67200 ... #O is now 94080 ... #O is now 102144 ... #O is now 108864 ... #O is now 135744 ... #O is now 216384 ... #O is now 229824 Proved no regular orbit ======================================== Consider the following repn 2 Input degree = 8 Defining field size = 5 Order of generators [ 2, 2, 2, 2, 2, 2, 2, 4 ] Composition Factors of G is G | Cyclic(2) * | Alternating(8) * | Cyclic(2) * | Cyclic(2) 1 Refined bound on degree is 9 Order of G is 161280 ... #O is now 26880 ... #O is now 107520 ... #O is now 120960 ... #O is now 174720 ... #O is now 255360 Proved no regular orbit ======================================== > > p := 7; > G := eval Read ("plus-cover-s8-7"); > f := ProcessReps ([G], n); Consider the following repn 1 Input degree = 16 Defining field size = 7 Order of generators [ 2, 2, 2, 2, 2, 2, 2, 6 ] Composition Factors of G is G | Cyclic(2) * | Alternating(8) * | Cyclic(3) * | Cyclic(2) 1 Refined bound on degree is 12 Over refined degree limit -- so G has regular orbit ======================================== > > Total time: 6.070 seconds, Total memory usage: 94.81MB