# Character: X10 # Comment: perm rep on 780a pts # Ind: 1 # Ring: Z # Sparsity: 68% # Maximum absolute entry: 29 # Checker result: pass # Conjugacy class representative result: pass local a, A, b, B, c, C, w, W, i, result, delta, idmat; result := rec(); w := E(3); W := E(3)^2; a := E(5)+E(5)^4; A := -1-a; # b5, b5* b := E(7)+E(7)^2+E(7)^4; B := -1-b; # b7, b7** c := E(11)+E(11)^3+E(11)^4+E(11)^5+E(11)^9; C := -1-c; # b11, b11** i := E(4); result.comment := "S45 as 104 x 104 matrices\n"; result.generators := [ [[-1,0,1,1,0,-3,-3,2,1,-2,-1,-1,-2,-2,-2,-1,2,-3,3,3,2,1,4,-4,2,1, 2,-1,3,5,-3,-1,-1,-1,1,-3,0,-1,0,2,1,0,2,6,-1,0,1,-1,-3,-2,0,6,1, -1,-7,-2,2,0,-4,5,-2,3,-1,-2,4,-1,3,-6,-4,1,-3,1,4,2,2,-4,6,1,4, 0,2,2,1,2,2,-2,3,-1,-1,1,1,0,0,3,1,-1,0,2,2,2,1,0,-3,1], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0], 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