Group GAP4(64,167)

Name: (C8 x C4) : C2
Maximal quotients:GAP4(32,31) GAP4(32,39) GAP4(32,40)
Real polynomial:

x^64-324*x^62+41940*x^60-2940552*x^58+127541461*x^56-3686041248*x^54+7435893\
6396*x^52-1080316808220*x^50+11558328078646*x^48-92589630287532*x^46+5623828\
23085236*x^44-2615181189369888*x^42+9379302918869521*x^40-26088323666643600*\
x^38+56507345687857716*x^36-95588577887231892*x^34+126519487346186326*x^32-1\
31140972535512548*x^30+106437652554516876*x^28-67565704111322640*x^26+334702\
01941900501*x^24-12894457172751912*x^22+3844745686031796*x^20-88144220645674\
8*x^18+153996832788721*x^16-20257931899920*x^14+1974168462816*x^12-139405538\
112*x^10+6917537056*x^8-230669568*x^6+4815360*x^4-55296*x^2+256

Common denominator of the automorphisms:

1440611567494598643940475738239429237041089742113172395452891129418106090907\
5842512784348160000

Complex polynomial:

x^64+656*x^56+49060*x^48+1495856*x^40+13630534*x^32-87243856*x^24+149689252*\
x^16+785168*x^8+1

Common denominator of the automorphisms:

1226355839567459328

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