Group GAP4(64,211)

Name: C2 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,34) GAP4(32,46)
Real polynomial:

x^64-256*x^62+30160*x^60-2178432*x^58+108396912*x^56-3957570048*x^54+1102360\
58880*x^52-2404459576320*x^50+41822249288928*x^48-587666491131904*x^46+67333\
01010494464*x^44-63320340233457664*x^42+490884882555793152*x^40-314529941668\
1127936*x^38+16674010268429690880*x^36-73105550634541744128*x^34+26463385674\
5032319232*x^32-788488899920244277248*x^30+1925144844137961730048*x^28-38286\
56703460523081728*x^26+6154307130621391962112*x^24-7917318580045373767680*x^\
22+8050162290048557678592*x^20-6366614619220096057344*x^18+38361759774532269\
83424*x^16-1713793648810361094144*x^14+547369627667031392256*x^12-1189145394\
60401037312*x^10+16365139667733970944*x^8-1272747911590969344*x^6+4426162781\
5526400*x^4-300175381757952*x^2+557256278016

Common denominator of the automorphisms:

28294210565428281530812965741313214817707601271327347965952

Complex polynomial:

x^64+32*x^60+4473*x^56+100216*x^52+842984*x^48+3046392*x^44+4355599*x^40+222\
8336*x^36+18194463*x^32+2228336*x^28+4355599*x^24+3046392*x^20+842984*x^16+1\
00216*x^12+4473*x^8+32*x^4+1

Common denominator of the automorphisms:

63925068445875

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