# Character: X14 # Comment: perm rep on 208 pts # Ind: 1 # Ring: Z # Sparsity: 73% # Maximum absolute entry: 7 # 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 := "U34 as 65 x 65 matrices\n"; result.generators := [ [[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], [-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [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], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 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, 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 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, 0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0, 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], [-2,0,-1,0,4,2,0,-2,1,0,0,-2,1,-1,-1,2,2,0,-1,-1,1,-2,-1,1,0,1,0,-3, 0,0,-1,-1,0,-3,0,0,1,1,-1,-1,0,-2,-2,0,1,-3,-1,-1,-1,1,-1,1,-1,-2, -1,0,0,0,0,2,0,-1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0, 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], [-1,1,1,0,0,1,0,0,0,1,0,0,2,0,0,1,1,1,-1,0,0,-1,-1,1,0,1,1,0,1,0,-1, 0,0,0,-1,-1,2,0,0,0,0,-1,-1,0,-1,0,1,0,1,0,0,0,0,0,0,0,0,-1,0,1, 0,0,0,1,1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 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], [-1,0,-1,0,1,-1,-2,-1,-1,-2,-1,-1,-2,0,0,0,-1,0,2,0,2,-1,2,-2,2,-1, 0,-1,-1,0,0,-1,2,-3,2,1,-1,-1,1,1,0,0,-2,1,1,0,-1,1,-2,1,0,1,-1, -2,-1,0,0,0,1,0,2,0,1,0,-1], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 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,-1,0,1,0,-1,-1,0,-1,-1,0,-1,1,0,0,-1,0,0,0,1,0,1,-1,1,0,-1,0, -1,0,0,0,0,-1,1,1,-1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,-1,-1,0,0,0, 1,0,0,0,0,0,0,0], [1,0,-1,-2,1,2,0,-1,-1,0,0,-1,0,1,-2,1,0,1,-1,0,1,0,0,0,0,1,-1,0,0, 2,-1,-1,0,-1,0,0,0,1,0,0,-1,-1,0,0,1,-1,-2,-1,-1,-1,0,0,0,-1,0,0, 0,0,0,2,0,0,0,-1,0], [1,0,-1,-1,0,0,-2,0,-2,-1,0,-1,-3,0,-1,-1,-1,0,3,1,1,0,2,-2,1,-1,-1, 0,-1,1,0,-1,1,-2,2,2,-2,0,0,2,0,1,1,0,1,0,-2,0,-2,0,1,1,-1,-1,-1, 0,0,1,1,0,0,1,1,-1,-1], [1,0,0,-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, 0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0], [-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 ], [0,1,0,-1,1,0,0,-1,0,0,0,-1,0,-1,-1,0,1,1,1,0,0,-1,-1,1,-1,1,-1,-1, 1,1,0,0,-1,0,-1,0,0,1,-1,1,0,0,0,-1,1,-1,-1,0,0,0,0,1,0,0,-1,0,0, 0,0,1,-1,0,0,0,0], [1,1,0,0,-2,-2,-1,0,-1,-1,-1,2,-2,1,1,-2,-2,0,2,2,0,0,1,-1,1,-1,-1, 1,-1,1,1,1,0,1,1,2,-3,0,0,2,0,2,1,-1,0,2,-1,1,-1,0,1,0,0,1,0,0,0, 1,0,-1,-1,1,0,0,0], [1,0,1,-1,-1,-1,0,1,0,0,1,1,0,0,0,-1,0,1,0,1,-1,0,0,0,0,0,0,1,0,0, 0,0,0,1,0,0,-1,0,-1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0, 1,0,0,0], [3,-1,0,-2,-1,0,1,0,0,1,0,0,2,1,0,0,0,2,-3,0,0,1,-1,2,0,2,0,1,2,0, 0,1,-1,4,-2,-2,1,0,-1,-2,0,0,0,0,0,1,0,-1,2,-1,0,-1,2,1,0,0,0,0, -1,1,0,0,-1,0,0], [-2,-1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,0,-2,-1,-1,0,1,-1,-1,-1,-1,1,0, -1,-2,-1,-1,0,-1,0,-1,1,-1,0,-2,0,-2,-1,1,-1,-1,2,0,0,0,-1,-1,-1, 0,1,0,0,-1,0,-1,1,-1,0,0,0], [1,0,-1,-2,2,0,-1,-1,1,0,0,-1,1,0,-1,1,1,1,-1,0,1,-2,0,2,0,2,0,-2, 1,1,0,1,0,0,0,0,0,1,0,0,0,0,-1,0,1,-1,-2,-1,0,1,0,1,1,-1,-1,0,0, 1,0,2,0,0,0,0,0], [2,1,0,-1,-2,-2,-1,0,-1,-1,0,1,-1,1,0,-1,-1,1,2,1,0,0,1,0,1,0,0,1, 1,1,1,1,1,2,0,0,-1,0,-1,1,0,2,0,0,0,2,-1,1,0,0,1,0,1,1,-1,0,0,0, 0,0,0,1,0,0,0], [1,0,-1,-1,0,-4,0,-2,-2,-4,-1,0,-3,0,0,-1,-2,2,4,-1,0,0,0,1,1,-1,-2, -3,1,2,1,-1,1,0,0,4,-4,-1,-3,1,1,2,-1,-2,3,1,-1,1,-2,1,1,2,0,-1, -2,-1,2,1,-1,0,-1,1,-1,-1,-2], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,1,0,-1,0,1,1,0,1,1,0,1,-1,0,0,1,0,0,0,-1,0,-1,1,-1,0,1,0,1,0, 0,0,0,1,-1,-1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0, 0,0,0,0], [0,-2,1,0,0,0,2,2,0,0,1,0,0,-2,1,0,1,-1,0,0,0,2,-1,-1,0,-2,1,0,0,-2, 0,-2,1,0,0,-1,1,-1,-1,-1,0,-1,-1,1,1,0,1,-1,0,0,-1,0,0,0,0,0,0,-1, 0,-1,1,-1,1,-1,-1], [1,1,-1,-1,2,-1,-1,-2,0,-2,-1,-1,0,0,0,0,0,1,1,1,1,-1,1,0,1,1,-1,-1, 0,1,1,1,0,-1,0,1,-1,1,0,0,0,1,-1,0,1,0,-2,0,-1,1,0,1,0,-1,-1,0,0, 1,0,1,0,0,0,0,0], [-1,0,0,0,2,0,-1,-1,1,0,0,-1,1,-1,0,1,1,1,0,-1,0,-2,0,1,1,1,0,-2,0, 0,0,0,0,-1,0,0,0,0,-1,0,1,0,-1,0,0,-1,0,0,0,1,0,1,0,-1,-1,0,0,1, 0,1,0,0,0,1,0], [1,1,1,0,-2,-1,-1,1,-1,0,0,0,-2,1,0,-1,-2,0,2,0,-1,1,1,0,0,-1,0,1, 0,1,0,0,0,1,0,1,-1,0,1,2,0,2,2,-1,0,1,0,1,0,-1,2,0,0,1,0,0,0,0,0, -1,-1,1,0,0,0], [-2,2,0,2,1,0,-2,-1,1,0,-1,0,-1,0,0,1,0,-1,0,0,1,-2,1,0,0,0,0,-1,-1, -1,0,1,0,-2,1,0,0,1,1,1,0,0,0,0,-1,-1,0,1,0,1,0,0,-1,0,0,0,0,0,1, 0,0,0,0,1,1], [0,0,0,0,1,2,-1,-1,0,1,0,-1,1,1,0,1,1,0,-1,0,1,-1,0,0,0,1,0,0,0,0, -1,0,0,-2,0,0,1,1,0,0,0,-1,0,0,-1,-1,-1,-1,0,0,0,0,-1,-1,0,0,0,0, 0,1,0,0,0,0,1], [0,-2,-1,0,0,0,-1,0,-1,-1,0,-1,-3,-1,0,-1,-1,-2,2,0,0,1,1,-3,1,-2, -1,0,-2,-1,0,-2,1,-2,2,1,-2,-1,0,0,0,0,1,1,1,-1,-1,-1,-2,0,0,0,-1, -1,0,0,0,1,1,-1,1,0,1,-1,-2]] , [[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], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [-1,1,-1,0,0,-2,-3,-2,-2,-3,-1,-1,-4,0,-1,-1,-2,1,4,-1,1,-2,2,-1,3, -1,-1,-3,-2,1,0,-1,2,-3,2,3,-3,-2,-1,3,1,1,-1,0,1,0,-1,2,-3,1,1, 2,-1,-2,-2,0,1,1,1,0,1,2,0,1,-2], [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], [1,-1,0,0,0,0,1,-1,-1,0,0,-1,0,2,0,1,-1,1,-1,-3,0,1,0,1,0,0,0,-1,1, 2,-1,-1,-1,1,-1,1,0,0,-1,-1,1,0,0,-1,1,0,0,0,0,-1,1,0,0,-1,0,0,1, 0,-2,0,0,0,-1,-1,0], [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], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0, 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], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0, 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], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1, 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], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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, 0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,-1,0,0,0,-1,-1,1,0,0,1,0,-1,0,1,1,0,0,0,0,1,-1,0,0,0,0, 0,0,1,0,0,1,-1,0,-1,0,0,0,-1,0,0,1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0], [0,0,0,0,0,0,-2,0,0,-1,0,0,-1,0,0,0,0,0,1,1,1,-1,2,-1,1,0,0,0,-1,0, 0,0,1,-2,2,1,-1,0,1,1,0,1,0,1,0,0,-1,0,-1,1,0,1,0,-1,0,0,0,1,1,0, 1,1,1,0,0], [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,-3,0,0,-1,2,3,1,-1,2,1,0,1,0,0,1,0,-1,-3,-3,-2,4,-2,0,-2,-1,1,1, 0,-1,-1,-2,-1,2,-1,-1,2,-1,0,-2,0,-3,1,0,0,-1,2,-2,1,-2,0,-2,0,0, 2,0,1,-1,-1,-1,0,-1,-1,-1,-1], [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], [-1,0,1,0,-2,-1,0,1,-1,-1,1,1,-1,-1,1,-1,0,1,2,0,-1,0,0,0,1,-1,1,-1, 0,1,-1,-1,1,-1,0,1,0,-1,-1,1,0,1,-1,0,0,1,1,1,-1,0,0,1,0,0,-1,0, 1,-1,0,-1,0,1,0,0,0], [1,0,0,0,-1,0,0,0,-1,1,0,0,-1,1,0,0,-1,0,0,0,0,1,0,0,0,0,0,1,0,0,0, 0,0,1,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,1,-1,0,1,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0, 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], [0,1,0,0,-1,-1,-1,0,-1,-1,-1,1,-2,1,0,-1,-2,0,2,1,0,0,1,-1,1,-1,-1, 1,-1,1,0,0,0,0,1,2,-2,0,0,2,0,1,1,-1,0,1,-1,1,-1,0,1,0,-1,0,0,0, 0,0,0,-1,-1,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0, 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], [-4,2,2,2,1,-1,1,0,2,-1,-1,0,1,-2,1,1,2,-1,2,2,-2,-2,-2,0,-1,-2,0, -3,0,-2,-1,-1,1,-2,0,2,-1,-1,-1,1,0,-1,-2,-2,1,-1,1,0,-1,2,-1,2, -1,0,0,-2,0,-1,0,0,-1,-1,0,1,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0, 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], [3,-1,0,-4,0,-3,-3,0,-1,-3,1,-1,-1,-1,0,-1,-1,3,2,2,2,-1,4,-1,3,3, 0,-1,0,3,2,1,1,1,0,1,-3,1,1,2,-1,4,-1,1,3,2,-4,1,-2,0,1,2,3,-2,-3, 1,-1,2,0,0,1,1,2,0,-1], [4,0,-1,-3,0,-2,-4,-1,-1,-2,0,0,-2,0,-1,-3,-2,3,3,3,3,-2,4,-1,4,2, -1,2,0,4,2,2,1,1,0,0,-3,1,1,2,-1,5,0,2,1,3,-4,2,-2,0,1,1,2,0,-3, 2,-2,2,1,1,1,2,2,0,0], [-4,0,2,3,1,2,4,0,1,2,0,0,2,0,1,3,2,-3,-3,-3,-3,2,-4,1,-4,-2,1,-2, 1,-4,-2,-2,-1,-1,0,0,3,-1,0,-2,1,-5,0,-2,-1,-3,4,-2,2,0,-1,-1,-2, 0,3,-2,2,-2,-1,-1,-1,-2,-2,0,0], [-1,1,2,1,-1,-1,-1,1,2,1,0,1,1,-1,2,-1,1,0,1,2,1,-2,2,0,1,2,2,0,1, -1,1,3,0,0,1,-2,1,2,2,1,0,2,0,1,-1,1,0,2,1,1,0,0,1,1,-1,1,-1,0,1, -1,0,0,2,2,2], [-4,0,2,5,-3,3,3,3,2,4,2,2,2,-1,2,0,1,-4,-3,-2,-4,3,-4,0,-3,-2,3,2, -1,-4,-2,0,-2,0,0,-2,5,-1,1,-2,1,-3,2,0,-5,-1,6,0,3,-1,-1,-3,-2, 3,3,0,0,-3,0,-3,-1,-1,-1,1,2], [2,-2,2,-1,-2,1,2,2,2,3,2,1,5,0,2,-1,1,1,-3,0,-1,1,0,1,-1,4,3,2,3, 2,0,3,-3,5,-3,-3,3,3,2,-2,-1,2,2,1,-1,2,1,1,3,-2,0,-2,3,2,0,2,-2, -1,-2,-1,-1,-1,1,0,3], [5,-3,1,-3,0,-3,1,1,2,0,2,0,5,-1,1,0,2,4,-1,1,0,0,1,3,0,3,2,-1,5,3, 3,3,-1,6,-4,-2,0,3,0,-2,-1,4,-1,1,3,3,-1,0,2,0,0,1,6,1,-2,1,-1,1, -2,1,0,-1,1,-1,1], [-2,-1,-1,3,1,4,3,0,0,3,0,-1,0,1,-1,2,1,-3,-4,-5,-1,2,-3,0,-3,-2,-1, 1,-1,-2,-2,-2,-2,-1,0,-1,3,-2,0,-3,1,-4,1,-1,-2,-3,3,-2,2,-1,-1, -2,-3,0,3,-1,1,-1,-1,0,0,-1,-2,-1,0], [1,-2,0,0,-1,2,3,0,0,2,3,-2,2,1,-1,2,3,1,-4,-4,-2,2,-3,3,-3,0,1,-2, 2,1,-2,-2,-2,1,-2,-1,3,0,-2,-3,1,-2,0,-1,1,-2,2,-2,2,-2,0,0,1,0, 1,-1,2,-1,-2,1,0,-1,-2,-2,0], [1,-1,1,1,0,0,5,1,2,3,0,0,4,1,1,1,1,-1,-4,-3,-3,2,-3,3,-4,0,1,0,3, -1,0,1,-3,5,-3,-1,2,1,-1,-3,1,-1,2,-2,0,0,3,-1,4,-1,0,-2,1,2,2,-1, 0,-1,-3,-1,-2,-2,-2,-1,1], [6,-1,0,-2,-3,-3,-2,1,0,-1,2,0,1,1,0,-3,0,4,1,0,1,-1,3,3,2,4,1,0,4, 4,3,4,-2,5,-2,-2,-1,2,0,1,0,7,2,1,1,4,-1,3,2,-1,2,1,5,2,-3,2,-1, 2,-1,0,0,2,1,0,1], [0,1,-1,-1,1,0,0,-1,-1,-1,0,-1,-2,1,-1,1,0,0,0,0,0,0,-1,0,-1,-1,-2, -1,0,0,-1,-2,0,-2,0,1,-1,-1,-1,0,0,-1,-1,-1,1,-1,-1,-1,-1,0,0,1, -1,-1,0,-1,1,0,0,1,0,0,-1,-1,-1], [3,0,-5,-5,3,0,-4,-4,-4,-3,0,-3,-5,0,-6,0,-1,1,2,1,3,-2,2,-2,2,0,-4, -1,-3,0,2,-3,3,-3,1,0,-4,-2,-1,1,-1,-1,-3,1,4,-2,-5,-2,-4,0,0,2, 0,-3,-2,0,0,3,3,4,3,1,0,-1,-5], [3,-1,-2,-3,2,-2,-3,-2,-2,-2,-2,0,-1,1,-1,-1,-3,2,1,1,4,-1,4,-1,4, 2,-1,1,-1,3,2,1,1,1,0,1,-3,1,0,1,0,2,-1,1,1,2,-4,1,-2,0,1,0,1,-2, -2,2,-1,2,0,1,1,1,1,0,-1], [1,1,1,-2,-2,-4,-3,1,0,-3,0,1,-2,-1,1,-3,-1,2,5,3,1,-2,4,-1,3,1,0, -1,0,2,2,2,1,0,1,1,-3,1,1,4,-1,5,0,1,1,3,-2,3,-2,1,1,2,2,0,-3,1, -1,1,1,-1,0,2,2,1,0], [2,-1,-1,-1,-1,0,1,-1,-2,0,0,0,-1,2,0,0,-1,1,0,-2,0,2,0,1,0,0,0,0, 1,1,0,0,0,1,0,0,0,0,-1,-1,1,0,1,0,0,0,0,0,0,-1,1,-1,0,0,0,0,1,0, -1,0,0,0,-1,-1,0], [-3,-1,0,4,-1,2,3,1,1,2,0,1,2,0,2,1,0,-2,-3,-4,-2,1,-3,2,-1,-2,1,0, 0,-2,-2,-1,-1,0,-1,-1,4,-1,-2,-3,1,-3,0,0,-3,-1,5,0,2,0,-1,-2,-2, 1,2,0,1,-2,-1,-1,0,-1,-2,0,1], [1,0,1,1,0,3,2,2,3,4,1,1,4,0,1,0,2,-2,-5,1,0,1,-2,1,-3,2,1,4,1,-2, 0,3,-2,3,-2,-5,4,3,2,-3,-1,-1,2,1,-3,0,1,-1,4,-1,-1,-3,1,3,2,1,-2, -1,0,0,-1,-2,0,0,3], [1,1,-1,-2,2,-3,0,-1,0,-3,-1,0,0,0,-1,0,0,2,2,1,0,-1,0,1,0,0,-2,-2, 1,2,2,0,0,1,-1,2,-3,0,-1,1,0,2,-1,-2,3,1,-2,0,-1,1,0,2,1,-1,-1,-1, 0,1,-1,1,-1,0,0,-1,-1], [3,1,-3,-3,3,-1,-2,-3,-1,-2,-2,-1,-2,1,-3,0,-1,0,1,2,3,-2,1,0,1,0, -3,1,-1,1,2,0,1,-1,0,0,-3,0,-1,0,-1,1,-1,0,2,0,-4,-1,-2,1,0,1,0, -1,-1,0,-1,2,1,3,1,0,0,-1,-1]]]; return result;