Group GAP4(96,126)

Name: (C8 x S3) : C2
Maximal quotients:GAP4(32,42) GAP4(48,38)
Real polynomial:
x^96-576*x^94+150648*x^92-23873232*x^90+2582066376*x^88-203634956448*x^86+12\
219651556992*x^84-574897362596352*x^82+21683155348694880*x^80-66700905971050\
4832*x^78+16964675907551035200*x^76-360700544548347437952*x^74+6469043143168\
252893888*x^72-98590639051183304934144*x^70+1284639840849392240686848*x^68-1\
4383313909767301333746176*x^66+138949520247285054019054272*x^64-116205515969\
7778264415748096*x^62+8435764604087962118462942208*x^60-53265410041278478633\
604204544*x^58+292987347000891661695776596992*x^56-1405333332104443504699714\
375680*x^54+5881393861116033711229713727488*x^52-214785646495661608605760218\
07104*x^50+68426581539016484092620932493312*x^48-190033193676584098077135487\
746048*x^46+459545612825572561384851254943744*x^44-9661525868785004529642520\
84518912*x^42+1762413600376421309827447227113472*x^40-2782461737232994501620\
754183323648*x^38+3790413766589192530788715133239296*x^36-443899115105506724\
0354302926323712*x^34+4449429623483405625607482446917632*x^32-37969789417349\
72939374380184240128*x^30+2740884407916445565027976312225792*x^28-1660528372\
862656813769057477394432*x^26+836138802633458655662928309288960*x^24-3456794\
52630778809481985500250112*x^22+115510328764869330180468097155072*x^20-30561\
830752988825193720255086592*x^18+6226865804000799776026345734144*x^16-939727\
394107354431087862874112*x^14+99280295663413099381558345728*x^12-67507574962\
85907449676300288*x^10+262864452862270722169110528*x^8-545541528592932502870\
4256*x^6+55052989007162200031232*x^4-219478435517467459584*x^2+1027972049196\
81024
Common denominator of the automorphisms:
3498896996251032948763162296613352617819046230074895926034704394553336678007\
6857768630652693454405971475496041199502361143289088977797101057795715804800\
4608082381111769012694085406927997249669940494330657493064394092173763114675\
8365561891165971893137008263142530090077144924513604993024
Complex polynomial:
x^96+43334676*x^72+48157779366*x^48+284318809236*x^24+43046721
Common denominator of the automorphisms:
568910285968752000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.