Group GAP4(64,67)

Name: (C4 x C2 x C2 x C2) : C2
Maximal quotients:GAP4(32,22) GAP4(32,25) GAP4(32,27) GAP4(32,28) GAP4(32,30)
Real polynomial:

x^64-144*x^62+9552*x^60-388720*x^58+10904464*x^56-224604704*x^54+3532764064*\
x^52-43564236224*x^50+429055892192*x^48-3420444924160*x^46+22288778440704*x^\
44-119568136347264*x^42+530715322615808*x^40-1955631160910080*x^38+599424805\
9009280*x^36-15293169688020480*x^34+32460338666474880*x^32-57223258345200640\
*x^30+83541738677943296*x^28-100582996587766784*x^26+99304448801702912*x^24-\
79800180974827520*x^22+51695769120733184*x^20-26664773716537344*x^18+1077591\
5753940992*x^16-3340059091746816*x^14+771418941554688*x^12-127468360458240*x\
^10+14189423149056*x^8-967887077376*x^6+34549645312*x^4-513638400*x^2+256000\
0

Common denominator of the automorphisms:

33492945624454926329678719684465775803866898200187023470862336000

Complex polynomial:

x^64-187*x^56+9738*x^48+126667*x^40+4427786*x^32+126667*x^24+9738*x^16-187*x\
^8+1

Common denominator of the automorphisms:

1275754708992

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