Magma V2.20-10 Thu Nov 13 2014 12:57:23 on mathcompprd01 [Seed = 1699871395] Type ? for help. Type -D to quit. Loading startup file "/home/eobr007/.magma.startup" Loading "code.m" Loading "sign.m" > > n := 15; > > p := 3; > G := eval Read ("minus-cover-s15-3"); > f := ProcessReps ([G], n); Consider the following repn 1 Input degree = 128 Defining field size = 3 Order of generators [ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2 ] Composition Factors of G is G | Cyclic(2) * | Alternating(15) * | Cyclic(2) 1 #Warning: we will need to find a perm rep of the radical quotient! #Found perm rep of the radical quotient! Refined bound on degree is 79 Over refined degree limit -- so G has regular orbit ======================================== > > p := 5; > G := eval Read ("minus-cover-s15-5"); > f := ProcessReps ([G], n); Consider the following repn 1 Input degree = 128 Defining field size = 5 Order of generators [ 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 ] Composition Factors of G is G | Cyclic(2) * | Cyclic(2) * | Alternating(15) * | Cyclic(2) 1 #Warning: we will need to find a perm rep of the radical quotient! #Found perm rep of the radical quotient! Refined bound on degree is 75 Over refined degree limit -- so G has regular orbit ======================================== > Total time: 143.409 seconds, Total memory usage: 96.16MB