Group GAP4(72,40)

Name: (S3 x S3) : C2
Maximal quotient:GAP4(8,3)
Real polynomial:
x^72-384*x^70+67400*x^68-7217328*x^66+530628348*x^64-28568552720*x^62+117275\
9687960*x^60-37729144942736*x^58+970121893534038*x^56-20228628174624656*x^54\
+345818193648676600*x^52-4887287218710902704*x^50+57455249630871104652*x^48-\
564434668334195744496*x^46+4648288306670967107496*x^44-321524355260796321727\
20*x^42+186960561253639768901073*x^40-913778481433071922890160*x^38+37498750\
25761651518046528*x^36-12894757613515716251459296*x^34+370489631860175177889\
29136*x^32-88604300810203839741258304*x^30+175540617136443682253395520*x^28-\
286416959992988601718465408*x^26+382120660443778903906259296*x^24-4131677329\
63792782421754624*x^22+358022328463733406968294144*x^20-24504714205519525738\
5265664*x^18+129938271326758543948039936*x^16-51973232522331411397532672*x^1\
4+15093634769495533939479552*x^12-3006580887118220519061504*x^10+37628881926\
4098722365696*x^8-25981322074929945862144*x^6+895892971881863188480*x^4-1335\
2244041761226752*x^2+63021017333776384
Common denominator of the automorphisms:
2327539428568160091574518135882761237810529870936469041461911590082823553073\
1123125221164418698315041680908975006468859693028814178625467650165638060621\
5583060476767047045916774664460161701056587294528856945504409662697421179976\
1799587788360318604383935719892640948148287507848576119162798080
Complex polynomial:
x^72+12*x^69+156*x^66+1444*x^63+11154*x^60+17238*x^57+81168*x^54+768384*x^51\
+5504784*x^48+33548218*x^45-22684068*x^42-260978124*x^39-420389572*x^36-1701\
094164*x^33+20891073390*x^30-52028323246*x^27+65288269296*x^24-56603892984*x\
^21+35562663376*x^18-10565909562*x^15+1759252779*x^12-186485232*x^9+11774208\
*x^6-304128*x^3+4096
Common denominator of the automorphisms:
2869333959272419452456032986251677174146404358018243311753189492634768429020\
0407200878201098297364259553319665664

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.