Group GAP4(64,77)

Name: (C2 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,28) GAP4(32,29) GAP4(32,33)
Real polynomial:

x^64-256*x^62+29648*x^60-2076480*x^58+99081624*x^56-3437381760*x^54+90292519\
728*x^52-1845543847104*x^50+29921829995196*x^48-390165586488320*x^46+4132876\
989891920*x^44-35817518148032320*x^42+255202005341327848*x^40-14993247402015\
29728*x^38+7272353434046272304*x^36-29112450312271523520*x^34+96001407946499\
593062*x^32-259845222875146056960*x^30+574141467322954256624*x^28-1027689063\
373209225152*x^26+1474833003360269163688*x^24-1673694373618274372480*x^22+14\
74809869107814827280*x^20-984932018467491004480*x^18+482690982652125998076*x\
^16-166279726909713378816*x^14+38062628796425035248*x^12-5407787671160164800\
*x^10+444737887886379864*x^8-20068540727614080*x^6+462760037448848*x^4-47243\
69812544*x^2+13705619041

Common denominator of the automorphisms:

1330965639731805346631368237473055885647983757496758560235153573479536817703\
74650354728960000

Complex polynomial:

x^64-128*x^60+6456*x^56+392064*x^52+7978268*x^48+178732416*x^44+1378318472*x\
^40-11485552256*x^36+38515864134*x^32+11485552256*x^28+1378318472*x^24-17873\
2416*x^20+7978268*x^16-392064*x^12+6456*x^8+128*x^4+1

Common denominator of the automorphisms:

282478063362068662601371156480

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