# Character: X4 # Comment: perm rep on 560 pts # Ind: 1 # Ring: C # Sparsity: 83% # 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 := "J2 as 21 x 21 matrices\n"; result.generators := [ [[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0], [E(5)^2+E(5)^3,E(5)^2+E(5)^3,-2*E(5)-5*E(5)^2-5*E(5)^3-2*E(5)^4,-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4, -2*E(5)-5*E(5)^2-5*E(5)^3-2*E(5)^4,E(5)+3*E(5)^2+3*E(5)^3+E(5)^4, -E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,1,-2*E(5)^2-2*E(5)^3,E(5)+3*E(5)^2+3*E(5)^3+E(5)^4, E(5)+3*E(5)^2+3*E(5)^3+E(5)^4,1,-2*E(5)^2-2*E(5)^3,E(5)+3*E(5)^2+3*E(5)^3+E(5)^4, E(5)+3*E(5)^2+3*E(5)^3+E(5)^4,2*E(5)+5*E(5)^2+5*E(5)^3+2*E(5)^4, -1,0,E(5)+3*E(5)^2+3*E(5)^3+E(5)^4,2*E(5)+5*E(5)^2+5*E(5)^3+2*E(5)^4, 0], [-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,2*E(5)+4*E(5)^2+4*E(5)^3+2*E(5)^4, E(5)+2*E(5)^2+2*E(5)^3+E(5)^4,2*E(5)+4*E(5)^2+4*E(5)^3+2*E(5)^4, -E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,E(5)+2*E(5)^2+2*E(5)^3+E(5)^4,0,E(5)+2*E(5)^2+2*E(5)^3+E(5)^4, -E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,-2*E(5)^2-2*E(5)^3,0,E(5)+2*E(5)^2+2*E(5)^3+E(5)^4, -2*E(5)^2-2*E(5)^3,-2*E(5)^2-2*E(5)^3,-E(5)-4*E(5)^2-4*E(5)^3-E(5)^4, 0,-1,-2*E(5)^2-2*E(5)^3,-E(5)-4*E(5)^2-4*E(5)^3-E(5)^4,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [1,1,E(5)+2*E(5)^2+2*E(5)^3+E(5)^4,E(5)^2+E(5)^3,E(5)+2*E(5)^2+2*E(5)^3+E(5)^4, -E(5)^2-E(5)^3,E(5)^2+E(5)^3,0,0,-E(5)^2-E(5)^3,-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4, 0,0,-E(5)^2-E(5)^3,-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,-2*E(5)^2-2*E(5)^3, 0,0,-E(5)^2-E(5)^3,-2*E(5)^2-2*E(5)^3,-1]] , [[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [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], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [E(5)^2+E(5)^3,-1,-2*E(5)-3*E(5)^2-3*E(5)^3-2*E(5)^4,-E(5)^2-E(5)^3, -E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,E(5)^2+E(5)^3,1,0,-E(5)^2-E(5)^3, E(5)^2+E(5)^3,E(5)^2+E(5)^3,1,-E(5)^2-E(5)^3,-E(5)+E(5)^2+E(5)^3-E(5)^4, E(5)^2+E(5)^3,2*E(5)^2+2*E(5)^3,0,0,E(5)+2*E(5)^2+2*E(5)^3+E(5)^4, 2*E(5)^2+2*E(5)^3,-E(5)-E(5)^4], [-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,2,3*E(5)+4*E(5)^2+4*E(5)^3+3*E(5)^4, E(5)^2+E(5)^3,2*E(5)+3*E(5)^2+3*E(5)^3+2*E(5)^4,-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4, -2,E(5)+E(5)^4,-E(5)+E(5)^2+E(5)^3-E(5)^4,E(5)+E(5)^4,-E(5)^2-E(5)^3, -1,2*E(5)+3*E(5)^2+3*E(5)^3+2*E(5)^4,5*E(5)+5*E(5)^4,2*E(5)+2*E(5)^4, E(5)-2*E(5)^2-2*E(5)^3+E(5)^4,-2*E(5)-E(5)^2-E(5)^3-2*E(5)^4,3*E(5)+2*E(5)^2+2*E(5)^3+3*E(5)^4, -E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,2*E(5)-2*E(5)^2-2*E(5)^3+2*E(5)^4, 2*E(5)+2*E(5)^4], [E(5)+2*E(5)^2+2*E(5)^3+E(5)^4,E(5)^2+E(5)^3,-2*E(5)^2-2*E(5)^3,1, E(5)-E(5)^2-E(5)^3+E(5)^4,-1,E(5)+E(5)^4,0,-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4, -1,-1,E(5)+E(5)^4,-E(5)-2*E(5)^2-2*E(5)^3-E(5)^4,-2,-1,2*E(5)+3*E(5)^2+3*E(5)^3+2*E(5)^4, 0,-E(5)^2-E(5)^3,E(5)+2*E(5)^2+2*E(5)^3+E(5)^4,2*E(5)+3*E(5)^2+3*E(5)^3+2*E(5)^4, -1], [0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0]]]; return result;