Group GAP4(64,108)
Name: (C8 : C4) : C2
Maximal quotients:GAP4(32,23) GAP4(32,42)
Real polynomial:
x^64-192*x^62+17568*x^60-1019520*x^58+42131496*x^56-1319621184*x^54+32556692\
448*x^52-649108017792*x^50+10647303031206*x^48-145526617890144*x^46+16725874\
58975952*x^44-16269214657121856*x^42+134503807856236056*x^40-947497633341505\
344*x^38+5692510023648599520*x^36-29153496493414776960*x^34+1270302523453075\
98123*x^32-469351193646638829600*x^30+1463323558707025058160*x^28-3824445776\
730556243392*x^26+8307246507154646506056*x^24-14833868156685886588992*x^22+2\
1475594224522105837408*x^20-24769292036777147060352*x^18+2225649999286856356\
7526*x^16-15137887453091393158944*x^14+7504508418438768909552*x^12-257747601\
3273860098752*x^10+572220683578835627616*x^8-74880929658977752320*x^6+521943\
5376133489152*x^4-166759509336477696*x^2+1874546993089521
Common denominator of the automorphisms:
705306591691198413087600
Complex polynomial:
x^64+192*x^62+17568*x^60+1019520*x^58+42131496*x^56+1319621184*x^54+32556692\
448*x^52+649108017792*x^50+10647303031206*x^48+145526617890144*x^46+16725874\
58975952*x^44+16269214657121856*x^42+134503807856236056*x^40+947497633341505\
344*x^38+5692510023648599520*x^36+29153496493414776960*x^34+1270302523453075\
98123*x^32+469351193646638829600*x^30+1463323558707025058160*x^28+3824445776\
730556243392*x^26+8307246507154646506056*x^24+14833868156685886588992*x^22+2\
1475594224522105837408*x^20+24769292036777147060352*x^18+2225649999286856356\
7526*x^16+15137887453091393158944*x^14+7504508418438768909552*x^12+257747601\
3273860098752*x^10+572220683578835627616*x^8+74880929658977752320*x^6+521943\
5376133489152*x^4+166759509336477696*x^2+1874546993089521
Common denominator of the automorphisms:
705306591691198413087600
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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