Group GAP4(64,16)
Name: C8 : C8
Maximal quotients:GAP4(32,12) GAP4(32,14) GAP4(32,15)
Real polynomial:
x^64-328*x^62+50004*x^60-4712464*x^58+308028226*x^56-14852823352*x^54+548642\
544944*x^52-15915738478024*x^50+368835723407591*x^48-6910260165815816*x^46+1\
05544497627505816*x^44-1321680431349620968*x^42+13619004051218218326*x^40-11\
5706163163245093456*x^38+811023765874947398172*x^36-4687565308513339518472*x\
^34+22306225735797503720425*x^32-87175053809790904727616*x^30+27885059314606\
6222886480*x^28-726889741315011707542016*x^26+1535661862910153260929400*x^24\
-2611225198101383821333248*x^22+3542286262308608045820224*x^20-3790230618114\
895547740224*x^18+3151406596451696874798536*x^16-1996018102348836213247104*x\
^14+937428421041197422567488*x^12-314476512218702649539456*x^10+714351149233\
47473035648*x^8-10145748032421569413376*x^6+790995027499616578880*x^4-253177\
76561183504512*x^2+9133229626756624
Common denominator of the automorphisms:
4578445863009869976986277096751123309792617943677394010491955308370720157911\
7334019458093495102481148095121795828460670579915923090877350470716758463190\
91023305214984192
Complex polynomial:
x^64+328*x^62+50004*x^60+4712464*x^58+308028226*x^56+14852823352*x^54+548642\
544944*x^52+15915738478024*x^50+368835723407591*x^48+6910260165815816*x^46+1\
05544497627505816*x^44+1321680431349620968*x^42+13619004051218218326*x^40+11\
5706163163245093456*x^38+811023765874947398172*x^36+4687565308513339518472*x\
^34+22306225735797503720425*x^32+87175053809790904727616*x^30+27885059314606\
6222886480*x^28+726889741315011707542016*x^26+1535661862910153260929400*x^24\
+2611225198101383821333248*x^22+3542286262308608045820224*x^20+3790230618114\
895547740224*x^18+3151406596451696874798536*x^16+1996018102348836213247104*x\
^14+937428421041197422567488*x^12+314476512218702649539456*x^10+714351149233\
47473035648*x^8+10145748032421569413376*x^6+790995027499616578880*x^4+253177\
76561183504512*x^2+9133229626756624
Common denominator of the automorphisms:
4578445863009869976986277096751123309792617943677394010491955308370720157911\
7334019458093495102481148095121795828460670579915923090877350470716758463190\
91023305214984192
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.