# Character: X30 # Comment: induce from Borel # Ind: 1 # Ring: C # Sparsity: 96% 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 := "L232 as 33 x 33 matrices\n"; result.generators := [ [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^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,E(31)^13,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,E(31)^28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,E(31)^17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^12,0,0,0, 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,E(31)^9,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,E(31)^3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,E(31)^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^11,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^24, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^27,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^23, 0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^25,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31),0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0], [0,E(31)^18,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,E(31)^22,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^30,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [E(31)^29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^10, 0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^16, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,E(31)^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^17 ], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^26,0, 0,0,0,0], [0,0,0,0,E(31)^19,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,E(31)^20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^5,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^15,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,E(31)^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^21,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,E(31)^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^14,0,0,0,0,0, 0,0,0,0]] , [[0,0,E(31)^15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^26,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,E(31)^10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^30, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^25, 0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^13,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^22,0,0, 0,0,0,0], [0,0,0,0,E(31)^16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^27,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^24,0,0,0,0,0,0,0,0, 0,0,0,0], [E(31)^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,0,0,E(31)^9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^5, 0,0], [0,0,0,0,0,0,E(31)^7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,E(31)^14,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [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,E(31)^4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,E(31)^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^11,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,E(31)^23,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,E(31)^29,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^19,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,E(31)^17,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^4 ], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^8,0, 0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31),0,0,0,0,0,0,0,0,0, 0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^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,E(31)^18,0,0,0,0,0,0, 0,0,0,0], [0,E(31)^28,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^20,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^3,0,0,0,0,0,0,0,0,0,0, 0,0,0], [0,0,0,0,0,0,0,E(31)^21,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^27,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0]]]; result.centralizeralgebra := [ ]; return result;