# Character: X7+X8+X9+X10 # Comment: perm rep on 248 pts # Ind: 1 # Irred-dim: 30 # Ring: Z # Sparsity: 67% # Maximum absolute entry: 98 # 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 := "L231 as 120 x 120 matrices\n"; result.generators := [ [[0,0,4,0,1,-1,5,-1,-1,2,-1,-2,-1,1,1,-2,-2,1,5,1,-1,-5,2,-2,-2,1, 2,3,-1,1,1,-1,-2,0,-1,-3,-3,0,3,-2,4,3,3,0,-3,-4,-1,1,3,-1,1,0,2, -1,1,2,0,-2,-2,0,1,3,0,2,-1,0,2,3,-5,1,0,-3,-1,2,-1,3,0,-3,-2,0, -3,0,1,-2,1,1,3,0,-1,0,3,-1,2,2,-1,2,0,1,3,0,1,1,1,0,2,0,-1,-2,-1, -2,0,1,-2,0,-1,1,-2,1,1,0], [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, 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