# Character: X14 # Comment: perm rep on 396 pts, vect exch by hand # Ind: 1 # Ring: Z # Sparsity: 83% # Maximum absolute entry: 13 # 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 144 x 144 matrices\n"; result.generators := [ [[1,0,0,0,0,-1,-1,0,0,1,1,0,0,0,-1,2,0,2,1,0,0,0,1,0,3,-2,0,0,0,-2, 1,-2,-1,0,0,0,2,1,1,-1,0,2,1,-3,1,-2,0,-1,3,0,-1,2,1,0,2,1,1,0,2, 0,-1,-1,1,-3,1,0,3,0,0,1,0,1,0,1,-1,1,-1,-1,-3,-1,2,0,1,2,-1,0,1, 0,1,-3,1,0,-2,1,-1,0,-2,0,0,-2,1,1,-1,-2,0,-1,0,1,0,0,-2,-1,-1,2, 3,2,1,-1,-2,-1,1,0,-1,-1,0,2,0,1,1,0,2,-1,-1,-2,-1,0,0,-1,2,1,0, 1,-1,2], [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, 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1,0,4,2,5,3,5,2,5,0,-4,1,3,-2,-4,3,1,2,3,-1,3,7,7,4,0,5,2,-1,-5, 6,-4,-5,0,8,-1,-3,7,-5,4,4,7,-1,1,1,-2,-3,-2,-5,8,4,0,2,-3,-3,5, 6,4,2,0,-2,6,0,5,-2,3,3,-4,10,-3,-1,-1,-2,2,-2,-2,-3,4,3,-2,-3,-1, 4,-5,3,-3,-1,-3,-4], [0,2,1,-1,0,2,1,0,-1,1,-1,1,2,0,0,-2,2,-1,-1,-1,1,1,3,3,-3,2,1,-2, 2,2,1,2,2,-1,-1,2,0,1,0,2,2,-1,1,2,-1,1,2,4,-3,0,2,1,-2,2,-1,1,1, -1,0,4,1,1,2,3,1,0,-1,0,1,-1,-2,0,0,-1,3,-2,3,3,3,3,1,1,0,-1,0,2, 0,-2,0,3,0,-1,5,-1,4,1,4,1,1,3,-1,0,2,-1,3,1,-3,2,0,1,4,1,1,-2,-3, -2,0,0,3,1,1,3,-2,2,-1,-2,1,0,1,-2,-2,0,1,3,0,-2,0,2,-3,-1,0,-1, -1,0], [3,-3,-5,7,-6,-4,-3,0,-2,-2,-7,4,-12,-6,-2,6,2,9,1,4,7,-5,0,1,4,-5, -9,-3,-3,-2,1,2,-4,2,-4,-2,-2,4,1,6,-2,-5,-4,8,-3,8,-2,5,5,0,-2, 2,-4,-1,5,3,-1,0,-10,7,-2,-6,-3,4,-6,0,8,1,-3,0,3,-4,-3,-4,-2,3, 1,-9,-7,2,8,-6,1,1,5,-2,8,3,0,-8,2,3,-1,8,5,-3,-2,8,1,1,2,6,11,11, -8,-6,-6,-1,6,10,-3,-8,-5,-8,-1,0,-11,3,-4,6,2,2,-1,-13,1,-4,4,1, -1,-2,-2,2,-5,0,3,2,3,-2,3,-8,8,2,2,6], [-3,0,3,-5,3,2,3,0,1,0,4,-5,6,3,3,-5,-2,-7,-1,-2,-5,3,-4,-1,-5,5,6, 4,0,4,-1,1,3,-3,3,1,0,-4,0,-4,0,0,2,-2,1,-3,-1,-3,-5,-1,2,-3,2,0, -5,-3,-2,2,5,-7,1,6,-2,0,3,1,-6,0,2,-1,-1,3,2,1,1,0,-1,5,6,0,-7, 2,-3,-2,-2,0,-5,-1,-3,7,-2,-2,1,-4,-3,2,0,-5,0,0,-2,-3,-5,-3,3,5, 5,-2,-4,-7,2,6,3,4,0,0,6,1,4,-3,-2,-2,2,8,0,2,-3,-1,-1,3,0,0,4,1, -1,1,-2,1,-2,4,-5,-2,0,-7]]]; return result;