Group GAP4(64,257)

Name: (C2 x D16) : C2
Maximal quotient:GAP4(32,46)
Real polynomial:

x^64-280*x^62+32300*x^60-2013920*x^58+75425884*x^56-1802996920*x^54+28789246\
000*x^52-319201396840*x^50+2542433944625*x^48-14974285375960*x^46+6679203410\
5200*x^44-230007587494520*x^42+620850845048796*x^40-1328986024254160*x^38+22\
75491678945300*x^36-3134821323891240*x^34+3486808741351504*x^32-313482132389\
1240*x^30+2275491678945300*x^28-1328986024254160*x^26+620850845048796*x^24-2\
30007587494520*x^22+66792034105200*x^20-14974285375960*x^18+2542433944625*x^\
16-319201396840*x^14+28789246000*x^12-1802996920*x^10+75425884*x^8-2013920*x\
^6+32300*x^4-280*x^2+1

Common denominator of the automorphisms:

32532299306094402335222737730525945810712327214344480

Complex polynomial:

x^64-368*x^56+134641*x^48-287408*x^40+477664*x^32-287408*x^24+134641*x^16-36\
8*x^8+1

Common denominator of the automorphisms:

126810684000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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