# Character: X6 # Comment: perm rep on 351 pts - integerised # Ind: 1 # Ring: Z # Sparsity: 92% # Maximum absolute entry: 31 # 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 := "O73 as 182 x 182 matrices\n"; result.generators := [ [[1,1,-1,0,3,-1,-3,-1,1,0,0,1,0,0,0,-1,-2,-2,0,-1,0,0,1,3,2,0,2,0, 0,1,3,-3,0,0,0,-3,0,0,-1,0,-3,0,-1,-1,0,3,3,0,3,0,0,1,0,1,2,1,2, 1,0,0,-3,-4,1,0,1,-3,-1,-2,-2,0,0,-2,-1,1,-2,-1,0,0,0,0,-1,4,0,-1, -2,0,-1,1,-3,1,0,2,2,0,0,0,2,3,0,-1,-1,0,1,-1,0,0,0,1,1,-1,0,-1, 2,2,0,0,3,-1,0,0,-2,2,0,0,0,-1,0,-3,0,0,0,1,0,2,0,1,-2,0,0,0,0,-1, 0,1,0,0,0,-2,0,0,0,0,0,0,1,0,-2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0], 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