# Character: X2 # Comment: perm rep on 930 pts # Ind: 0 # Ring: C # Sparsity: 75% # 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 := "L231 as 15 x 15 matrices\n"; result.generators := [ [[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], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,1,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0], [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], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,0,1,0,0,0,0,0,0], 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3807/2090*E(31)+3807/2090*E(31)^2+1547/1045*E(31)^3+3807/2090*E(31)^4+3807/2090*E(31)^5+1547/1045*E(31)^6+3807/2090*E(31)^7+3807/2090*E(31)^8+3807/2090*E(31)^9+3807/2090*E(31)^10+1547/1045*E(31)^11+1547/1045*E(31)^12+1547/1045*E(31)^13+3807/2090*E(31)^14+1547/1045*E(31)^15+3807/2090*E(31)^16+1547/1045*E(31)^17+3807/2090*E(31)^18+3807/2090*E(31)^19+3807/2090*E(31)^20+1547/1045*E(31)^21+1547/1045*E(31)^22+1547/1045*E(31)^23+1547/1045*E(31)^24+3807/2090*E(31)^25+1547/1045*E(31)^26+1547/1045*E(31)^27+3807/2090*E(31)^28+1547/1045*E(31)^29+1547/1045*E(31)^30, 6687/5225*E(31)+6687/5225*E(31)^2+3814/5225*E(31)^3+6687/5225*E(31)^4+6687/5225*E(31)^5+3814/5225*E(31)^6+6687/5225*E(31)^7+6687/5225*E(31)^8+6687/5225*E(31)^9+6687/5225*E(31)^10+3814/5225*E(31)^11+3814/5225*E(31)^12+3814/5225*E(31)^13+6687/5225*E(31)^14+3814/5225*E(31)^15+6687/5225*E(31)^16+3814/5225*E(31)^17+6687/5225*E(31)^18+6687/5225*E(31)^19+6687/5225*E(31)^20+3814/5225*E(31)^21+3814/5225*E(31)^22+3814/5225*E(31)^23+3814/5225*E(31)^24+6687/5225*E(31)^25+3814/5225*E(31)^26+3814/5225*E(31)^27+6687/5225*E(31)^28+3814/5225*E(31)^29+3814/5225*E(31)^30, 1323/1045*E(31)+1323/1045*E(31)^2+116/95*E(31)^3+1323/1045*E(31)^4+1323/1045*E(31)^5+116/95*E(31)^6+1323/1045*E(31)^7+1323/1045*E(31)^8+1323/1045*E(31)^9+1323/1045*E(31)^10+116/95*E(31)^11+116/95*E(31)^12+116/95*E(31)^13+1323/1045*E(31)^14+116/95*E(31)^15+1323/1045*E(31)^16+116/95*E(31)^17+1323/1045*E(31)^18+1323/1045*E(31)^19+1323/1045*E(31)^20+116/95*E(31)^21+116/95*E(31)^22+116/95*E(31)^23+116/95*E(31)^24+1323/1045*E(31)^25+116/95*E(31)^26+116/95*E(31)^27+1323/1045*E(31)^28+116/95*E(31)^29+116/95*E(31)^30, 8577/5225*E(31)+8577/5225*E(31)^2+7944/5225*E(31)^3+8577/5225*E(31)^4+8577/5225*E(31)^5+7944/5225*E(31)^6+8577/5225*E(31)^7+8577/5225*E(31)^8+8577/5225*E(31)^9+8577/5225*E(31)^10+7944/5225*E(31)^11+7944/5225*E(31)^12+7944/5225*E(31)^13+8577/5225*E(31)^14+7944/5225*E(31)^15+8577/5225*E(31)^16+7944/5225*E(31)^17+8577/5225*E(31)^18+8577/5225*E(31)^19+8577/5225*E(31)^20+7944/5225*E(31)^21+7944/5225*E(31)^22+7944/5225*E(31)^23+7944/5225*E(31)^24+8577/5225*E(31)^25+7944/5225*E(31)^26+7944/5225*E(31)^27+8577/5225*E(31)^28+7944/5225*E(31)^29+7944/5225*E(31)^30, -183/190*E(31)-183/190*E(31)^2-68/95*E(31)^3-183/190*E(31)^4-183/190*E(31)^5-68/95*E(31)^6-183/190*E(31)^7-183/190*E(31)^8-183/190*E(31)^9-183/190*E(31)^10-68/95*E(31)^11-68/95*E(31)^12-68/95*E(31)^13-183/190*E(31)^14-68/95*E(31)^15-183/190*E(31)^16-68/95*E(31)^17-183/190*E(31)^18-183/190*E(31)^19-183/190*E(31)^20-68/95*E(31)^21-68/95*E(31)^22-68/95*E(31)^23-68/95*E(31)^24-183/190*E(31)^25-68/95*E(31)^26-68/95*E(31)^27-183/190*E(31)^28-68/95*E(31)^29-68/95*E(31)^30, 2/95*E(31)+2/95*E(31)^2+29/95*E(31)^3+2/95*E(31)^4+2/95*E(31)^5+29/95*E(31)^6+2/95*E(31)^7+2/95*E(31)^8+2/95*E(31)^9+2/95*E(31)^10+29/95*E(31)^11+29/95*E(31)^12+29/95*E(31)^13+2/95*E(31)^14+29/95*E(31)^15+2/95*E(31)^16+29/95*E(31)^17+2/95*E(31)^18+2/95*E(31)^19+2/95*E(31)^20+29/95*E(31)^21+29/95*E(31)^22+29/95*E(31)^23+29/95*E(31)^24+2/95*E(31)^25+29/95*E(31)^26+29/95*E(31)^27+2/95*E(31)^28+29/95*E(31)^29+29/95*E(31)^30, 1676/5225*E(31)+1676/5225*E(31)^2+102/475*E(31)^3+1676/5225*E(31)^4+1676/5225*E(31)^5+102/475*E(31)^6+1676/5225*E(31)^7+1676/5225*E(31)^8+1676/5225*E(31)^9+1676/5225*E(31)^10+102/475*E(31)^11+102/475*E(31)^12+102/475*E(31)^13+1676/5225*E(31)^14+102/475*E(31)^15+1676/5225*E(31)^16+102/475*E(31)^17+1676/5225*E(31)^18+1676/5225*E(31)^19+1676/5225*E(31)^20+102/475*E(31)^21+102/475*E(31)^22+102/475*E(31)^23+102/475*E(31)^24+1676/5225*E(31)^25+102/475*E(31)^26+102/475*E(31)^27+1676/5225*E(31)^28+102/475*E(31)^29+102/475*E(31)^30 ], [676/1045*E(31)+676/1045*E(31)^2+1347/1045*E(31)^3+676/1045*E(31)^4+676/1045*E(31)^5+1347/1045*E(31)^6+676/1045*E(31)^7+676/1045*E(31)^8+676/1045*E(31)^9+676/1045*E(31)^10+1347/1045*E(31)^11+1347/1045*E(31)^12+1347/1045*E(31)^13+676/1045*E(31)^14+1347/1045*E(31)^15+676/1045*E(31)^16+1347/1045*E(31)^17+676/1045*E(31)^18+676/1045*E(31)^19+676/1045*E(31)^20+1347/1045*E(31)^21+1347/1045*E(31)^22+1347/1045*E(31)^23+1347/1045*E(31)^24+676/1045*E(31)^25+1347/1045*E(31)^26+1347/1045*E(31)^27+676/1045*E(31)^28+1347/1045*E(31)^29+1347/1045*E(31)^30, 1303/1045*E(31)+1303/1045*E(31)^2+4157/2090*E(31)^3+1303/1045*E(31)^4+1303/1045*E(31)^5+4157/2090*E(31)^6+1303/1045*E(31)^7+1303/1045*E(31)^8+1303/1045*E(31)^9+1303/1045*E(31)^10+4157/2090*E(31)^11+4157/2090*E(31)^12+4157/2090*E(31)^13+1303/1045*E(31)^14+4157/2090*E(31)^15+1303/1045*E(31)^16+4157/2090*E(31)^17+1303/1045*E(31)^18+1303/1045*E(31)^19+1303/1045*E(31)^20+4157/2090*E(31)^21+4157/2090*E(31)^22+4157/2090*E(31)^23+4157/2090*E(31)^24+1303/1045*E(31)^25+4157/2090*E(31)^26+4157/2090*E(31)^27+1303/1045*E(31)^28+4157/2090*E(31)^29+4157/2090*E(31)^30, -1999/1045*E(31)-1999/1045*E(31)^2-1863/1045*E(31)^3-1999/1045*E(31)^4-1999/1045*E(31)^5-1863/1045*E(31)^6-1999/1045*E(31)^7-1999/1045*E(31)^8-1999/1045*E(31)^9-1999/1045*E(31)^10-1863/1045*E(31)^11-1863/1045*E(31)^12-1863/1045*E(31)^13-1999/1045*E(31)^14-1863/1045*E(31)^15-1999/1045*E(31)^16-1863/1045*E(31)^17-1999/1045*E(31)^18-1999/1045*E(31)^19-1999/1045*E(31)^20-1863/1045*E(31)^21-1863/1045*E(31)^22-1863/1045*E(31)^23-1863/1045*E(31)^24-1999/1045*E(31)^25-1863/1045*E(31)^26-1863/1045*E(31)^27-1999/1045*E(31)^28-1863/1045*E(31)^29-1863/1045*E(31)^30, -514/209*E(31)-514/209*E(31)^2-1093/418*E(31)^3-514/209*E(31)^4-514/209*E(31)^5-1093/418*E(31)^6-514/209*E(31)^7-514/209*E(31)^8-514/209*E(31)^9-514/209*E(31)^10-1093/418*E(31)^11-1093/418*E(31)^12-1093/418*E(31)^13-514/209*E(31)^14-1093/418*E(31)^15-514/209*E(31)^16-1093/418*E(31)^17-514/209*E(31)^18-514/209*E(31)^19-514/209*E(31)^20-1093/418*E(31)^21-1093/418*E(31)^22-1093/418*E(31)^23-1093/418*E(31)^24-514/209*E(31)^25-1093/418*E(31)^26-1093/418*E(31)^27-514/209*E(31)^28-1093/418*E(31)^29-1093/418*E(31)^30, 2/19*E(31)+2/19*E(31)^2-42/209*E(31)^3+2/19*E(31)^4+2/19*E(31)^5-42/209*E(31)^6+2/19*E(31)^7+2/19*E(31)^8+2/19*E(31)^9+2/19*E(31)^10-42/209*E(31)^11-42/209*E(31)^12-42/209*E(31)^13+2/19*E(31)^14-42/209*E(31)^15+2/19*E(31)^16-42/209*E(31)^17+2/19*E(31)^18+2/19*E(31)^19+2/19*E(31)^20-42/209*E(31)^21-42/209*E(31)^22-42/209*E(31)^23-42/209*E(31)^24+2/19*E(31)^25-42/209*E(31)^26-42/209*E(31)^27+2/19*E(31)^28-42/209*E(31)^29-42/209*E(31)^30, -49/55*E(31)-49/55*E(31)^2-151/110*E(31)^3-49/55*E(31)^4-49/55*E(31)^5-151/110*E(31)^6-49/55*E(31)^7-49/55*E(31)^8-49/55*E(31)^9-49/55*E(31)^10-151/110*E(31)^11-151/110*E(31)^12-151/110*E(31)^13-49/55*E(31)^14-151/110*E(31)^15-49/55*E(31)^16-151/110*E(31)^17-49/55*E(31)^18-49/55*E(31)^19-49/55*E(31)^20-151/110*E(31)^21-151/110*E(31)^22-151/110*E(31)^23-151/110*E(31)^24-49/55*E(31)^25-151/110*E(31)^26-151/110*E(31)^27-49/55*E(31)^28-151/110*E(31)^29-151/110*E(31)^30, 137/55*E(31)+137/55*E(31)^2+94/55*E(31)^3+137/55*E(31)^4+137/55*E(31)^5+94/55*E(31)^6+137/55*E(31)^7+137/55*E(31)^8+137/55*E(31)^9+137/55*E(31)^10+94/55*E(31)^11+94/55*E(31)^12+94/55*E(31)^13+137/55*E(31)^14+94/55*E(31)^15+137/55*E(31)^16+94/55*E(31)^17+137/55*E(31)^18+137/55*E(31)^19+137/55*E(31)^20+94/55*E(31)^21+94/55*E(31)^22+94/55*E(31)^23+94/55*E(31)^24+137/55*E(31)^25+94/55*E(31)^26+94/55*E(31)^27+137/55*E(31)^28+94/55*E(31)^29+94/55*E(31)^30, -83/95*E(31)-83/95*E(31)^2-936/1045*E(31)^3-83/95*E(31)^4-83/95*E(31)^5-936/1045*E(31)^6-83/95*E(31)^7-83/95*E(31)^8-83/95*E(31)^9-83/95*E(31)^10-936/1045*E(31)^11-936/1045*E(31)^12-936/1045*E(31)^13-83/95*E(31)^14-936/1045*E(31)^15-83/95*E(31)^16-936/1045*E(31)^17-83/95*E(31)^18-83/95*E(31)^19-83/95*E(31)^20-936/1045*E(31)^21-936/1045*E(31)^22-936/1045*E(31)^23-936/1045*E(31)^24-83/95*E(31)^25-936/1045*E(31)^26-936/1045*E(31)^27-83/95*E(31)^28-936/1045*E(31)^29-936/1045*E(31)^30, 1913/1045*E(31)+1913/1045*E(31)^2+1376/1045*E(31)^3+1913/1045*E(31)^4+1913/1045*E(31)^5+1376/1045*E(31)^6+1913/1045*E(31)^7+1913/1045*E(31)^8+1913/1045*E(31)^9+1913/1045*E(31)^10+1376/1045*E(31)^11+1376/1045*E(31)^12+1376/1045*E(31)^13+1913/1045*E(31)^14+1376/1045*E(31)^15+1913/1045*E(31)^16+1376/1045*E(31)^17+1913/1045*E(31)^18+1913/1045*E(31)^19+1913/1045*E(31)^20+1376/1045*E(31)^21+1376/1045*E(31)^22+1376/1045*E(31)^23+1376/1045*E(31)^24+1913/1045*E(31)^25+1376/1045*E(31)^26+1376/1045*E(31)^27+1913/1045*E(31)^28+1376/1045*E(31)^29+1376/1045*E(31)^30, 832/1045*E(31)+832/1045*E(31)^2+283/2090*E(31)^3+832/1045*E(31)^4+832/1045*E(31)^5+283/2090*E(31)^6+832/1045*E(31)^7+832/1045*E(31)^8+832/1045*E(31)^9+832/1045*E(31)^10+283/2090*E(31)^11+283/2090*E(31)^12+283/2090*E(31)^13+832/1045*E(31)^14+283/2090*E(31)^15+832/1045*E(31)^16+283/2090*E(31)^17+832/1045*E(31)^18+832/1045*E(31)^19+832/1045*E(31)^20+283/2090*E(31)^21+283/2090*E(31)^22+283/2090*E(31)^23+283/2090*E(31)^24+832/1045*E(31)^25+283/2090*E(31)^26+283/2090*E(31)^27+832/1045*E(31)^28+283/2090*E(31)^29+283/2090*E(31)^30, 1019/1045*E(31)+1019/1045*E(31)^2+668/1045*E(31)^3+1019/1045*E(31)^4+1019/1045*E(31)^5+668/1045*E(31)^6+1019/1045*E(31)^7+1019/1045*E(31)^8+1019/1045*E(31)^9+1019/1045*E(31)^10+668/1045*E(31)^11+668/1045*E(31)^12+668/1045*E(31)^13+1019/1045*E(31)^14+668/1045*E(31)^15+1019/1045*E(31)^16+668/1045*E(31)^17+1019/1045*E(31)^18+1019/1045*E(31)^19+1019/1045*E(31)^20+668/1045*E(31)^21+668/1045*E(31)^22+668/1045*E(31)^23+668/1045*E(31)^24+1019/1045*E(31)^25+668/1045*E(31)^26+668/1045*E(31)^27+1019/1045*E(31)^28+668/1045*E(31)^29+668/1045*E(31)^30, 2122/1045*E(31)+2122/1045*E(31)^2+1794/1045*E(31)^3+2122/1045*E(31)^4+2122/1045*E(31)^5+1794/1045*E(31)^6+2122/1045*E(31)^7+2122/1045*E(31)^8+2122/1045*E(31)^9+2122/1045*E(31)^10+1794/1045*E(31)^11+1794/1045*E(31)^12+1794/1045*E(31)^13+2122/1045*E(31)^14+1794/1045*E(31)^15+2122/1045*E(31)^16+1794/1045*E(31)^17+2122/1045*E(31)^18+2122/1045*E(31)^19+2122/1045*E(31)^20+1794/1045*E(31)^21+1794/1045*E(31)^22+1794/1045*E(31)^23+1794/1045*E(31)^24+2122/1045*E(31)^25+1794/1045*E(31)^26+1794/1045*E(31)^27+2122/1045*E(31)^28+1794/1045*E(31)^29+1794/1045*E(31)^30, -5/19*E(31)-5/19*E(31)^2+7/38*E(31)^3-5/19*E(31)^4-5/19*E(31)^5+7/38*E(31)^6-5/19*E(31)^7-5/19*E(31)^8-5/19*E(31)^9-5/19*E(31)^10+7/38*E(31)^11+7/38*E(31)^12+7/38*E(31)^13-5/19*E(31)^14+7/38*E(31)^15-5/19*E(31)^16+7/38*E(31)^17-5/19*E(31)^18-5/19*E(31)^19-5/19*E(31)^20+7/38*E(31)^21+7/38*E(31)^22+7/38*E(31)^23+7/38*E(31)^24-5/19*E(31)^25+7/38*E(31)^26+7/38*E(31)^27-5/19*E(31)^28+7/38*E(31)^29+7/38*E(31)^30, 8/19*E(31)+8/19*E(31)^2+23/38*E(31)^3+8/19*E(31)^4+8/19*E(31)^5+23/38*E(31)^6+8/19*E(31)^7+8/19*E(31)^8+8/19*E(31)^9+8/19*E(31)^10+23/38*E(31)^11+23/38*E(31)^12+23/38*E(31)^13+8/19*E(31)^14+23/38*E(31)^15+8/19*E(31)^16+23/38*E(31)^17+8/19*E(31)^18+8/19*E(31)^19+8/19*E(31)^20+23/38*E(31)^21+23/38*E(31)^22+23/38*E(31)^23+23/38*E(31)^24+8/19*E(31)^25+23/38*E(31)^26+23/38*E(31)^27+8/19*E(31)^28+23/38*E(31)^29+23/38*E(31)^30, 491/1045*E(31)+491/1045*E(31)^2+327/1045*E(31)^3+491/1045*E(31)^4+491/1045*E(31)^5+327/1045*E(31)^6+491/1045*E(31)^7+491/1045*E(31)^8+491/1045*E(31)^9+491/1045*E(31)^10+327/1045*E(31)^11+327/1045*E(31)^12+327/1045*E(31)^13+491/1045*E(31)^14+327/1045*E(31)^15+491/1045*E(31)^16+327/1045*E(31)^17+491/1045*E(31)^18+491/1045*E(31)^19+491/1045*E(31)^20+327/1045*E(31)^21+327/1045*E(31)^22+327/1045*E(31)^23+327/1045*E(31)^24+491/1045*E(31)^25+327/1045*E(31)^26+327/1045*E(31)^27+491/1045*E(31)^28+327/1045*E(31)^29+327/1045*E(31)^30 ]]]; return result;