Group GAP4(64,93)

Name: C2 x (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2))
Maximal quotients:GAP4(32,8) GAP4(32,22)
Real polynomial:

x^64-544*x^62+128928*x^60-17779280*x^58+1610335744*x^56-102557027712*x^54+47\
99425825264*x^52-170168501059952*x^50+4673567355927012*x^48-1010643954644323\
52*x^46+1741855098364157984*x^44-24143568351065230768*x^42+27089700999774600\
9728*x^40-2471678935909190749568*x^38+18391536443292914858320*x^36-111768609\
018892371709968*x^34+554866722086902357224902*x^32-2248053361529696812715360\
*x^30+7417445858475407639210848*x^28-19864980489811216399059312*x^26+4298167\
5150870068803916544*x^24-74669340737732972866946688*x^22+1033142912083945578\
48034256*x^20-112678509593150365918560976*x^18+95596799406132905631173604*x^\
16-62033992133636321262808224*x^14+30127141043523399114700512*x^12-106439383\
01844518441570832*x^10+2633633954826126761089664*x^8-43270676785063583379622\
4*x^6+43554629151773357106288*x^4-2335737210032009687088*x^2+486611918756668\
68481

Common denominator of the automorphisms:

665179304504100432906458046280270581053432594075528476672

Complex polynomial:

x^64+19847262272*x^48+989311965373335040*x^32+35443119994209936883712*x^16+3\
189059870763703892770816

Common denominator of the automorphisms:

139715315211012410724665949945856

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