# Character: X12 # Comment: perm rep on 220 pts, LLL'ed # Ind: 1 # Ring: Z # Sparsity: 91% # Maximum absolute entry: 11 # Checker result: pass # Conjugacy class representative result: pass local b, B, w, W, i, result, delta, idmat; result := rec(); w := E(3); W := E(3)^2; b := E(7)+E(7)^2+E(7)^4; B := -1-b; # b7, b7** i := E(4); result.comment := "M12 as 99 x 99 matrices\n"; result.generators := [ [[-1,0,-1,0,1,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,-1,0, -1,0,0,-1,0,-1,-1,1,-1,0,0,0,1,-1,0,-1,1,1,1,0,-1,0,0,1,0,0,-1,1, -2,0,-1,1,-1,0,0,0,0,0,0,-1,-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], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 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[-5,4,-1,2,4,1,4,-2,0,0,6,11,1,3,6,4,10,4,2,3,6,1,9,5,4,6,3,8,4,-3, 4,-9,6,2,-5,2,-3,-7,2,-7,-3,1,0,6,-6,1,-7,5,8,8,1,1,9,2,9,2,4,-1, 10,-11,2,-10,4,1,-3,4,1,0,2,4,-2,-5,3,1,0,3,0,0,8,2,0,-1,1,0,1,0, -1,0,0,0,-1,0,0,0,0,0,0,0,1]]]; return result;