Group GAP4(64,23)

Name: (C4 x C2 x C2) : C4
Maximal quotients:GAP4(32,2) GAP4(32,6)
Real polynomial:
x^64-208*x^62+19976*x^60-1179616*x^58+48114260*x^56-1443410160*x^54+33109783\
888*x^52-595972709376*x^50+8571242693078*x^48-99769379609360*x^46+9485887377\
87488*x^44-7414421239796480*x^42+47844945626236172*x^40-255507070301182096*x\
^38+1130139227146351184*x^36-4137502919429801728*x^34+12511844274228504353*x\
^32-31143062730880083936*x^30+63488378258910023896*x^28-10530950933632850294\
4*x^26+140955549206722060184*x^24-150704417966570769344*x^22+127147589299760\
444960*x^20-83444033693613985664*x^18+41891525248825658896*x^16-157764344236\
83275520*x^14+4352999543594337024*x^12-853611167766269952*x^10+1139766040199\
85408*x^8-9686440804515840*x^6+463080098414592*x^4-9220814143488*x^2+4299816\
96
Common denominator of the automorphisms:
26255783539446548144884815087410816082529144497214562038937331914332569600
Complex polynomial:
x^64+208*x^62+19976*x^60+1179616*x^58+48114260*x^56+1443410160*x^54+33109783\
888*x^52+595972709376*x^50+8571242693078*x^48+99769379609360*x^46+9485887377\
87488*x^44+7414421239796480*x^42+47844945626236172*x^40+255507070301182096*x\
^38+1130139227146351184*x^36+4137502919429801728*x^34+12511844274228504353*x\
^32+31143062730880083936*x^30+63488378258910023896*x^28+10530950933632850294\
4*x^26+140955549206722060184*x^24+150704417966570769344*x^22+127147589299760\
444960*x^20+83444033693613985664*x^18+41891525248825658896*x^16+157764344236\
83275520*x^14+4352999543594337024*x^12+853611167766269952*x^10+1139766040199\
85408*x^8+9686440804515840*x^6+463080098414592*x^4+9220814143488*x^2+4299816\
96
Common denominator of the automorphisms:
26255783539446548144884815087410816082529144497214562038937331914332569600

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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