Magma V2.20-10 Thu Nov 13 2014 12:51:47 on mathcompprd01 [Seed = 87055315] Type ? for help. Type -D to quit. Loading startup file "/home/eobr007/.magma.startup" Loading "code.m" Loading "sign.m" > > n := 9; > > p := 3; > G := eval Read ("minus-cover-s9-3"); > H := SecondCover (G); G | Cyclic(2) * | Alternating(9) * | Cyclic(2) 1 > L := [G, H]; > f := ProcessReps (L, n); Consider the following repn 1 Input degree = 8 Defining field size = 3 Order of generators [ 4, 4, 4, 4, 4, 4, 4, 4, 2 ] Composition Factors of G is G | Cyclic(2) * | Alternating(9) * | Cyclic(2) 1 Vector space too small -- no regular orbit ======================================== Consider the following repn 2 Input degree = 8 Defining field size = 3 Order of generators [ 4, 4, 4, 4, 4, 4, 4, 4, 2 ] Composition Factors of G is G | Cyclic(2) * | Alternating(9) * | Cyclic(2) 1 Vector space too small -- no regular orbit ======================================== > > > > p := 5; > G := eval Read ("minus-cover-s9-5"); > f := ProcessReps ([G], n); Consider the following repn 1 Input degree = 16 Defining field size = 5 Order of generators [ 4, 4, 4, 4, 4, 4, 4, 4, 4 ] Composition Factors of G is G | Cyclic(2) * | Alternating(9) * | Cyclic(2) * | Cyclic(2) 1 Refined bound on degree is 14 Over refined degree limit -- so G has regular orbit ======================================== > > p := 7; > G := eval Read ("minus-cover-s9-7"); > f := ProcessReps ([G], n); Consider the following repn 1 Input degree = 16 Defining field size = 7 Order of generators [ 4, 4, 4, 4, 4, 4, 4, 4, 6 ] Composition Factors of G is G | Cyclic(2) * | Alternating(9) * | Cyclic(3) * | Cyclic(2) 1 Refined bound on degree is 13 Over refined degree limit -- so G has regular orbit ======================================== > > Total time: 5.429 seconds, Total memory usage: 32.09MB