Group GAP4(64,135)

Name: ((C4 x C4) : C2) : C2
Maximal quotient:GAP4(32,27)
Real polynomial:

x^64-528*x^62+128304*x^60-19114128*x^58+1962280716*x^56-147946591584*x^54+85\
24532779488*x^52-385614312706656*x^50+13958756821743822*x^48-410004430644663\
360*x^46+9872186452002404640*x^44-196314423567080794272*x^42+324104601482928\
5155020*x^40-44576282023645177121184*x^38+511697189136776438119104*x^36-4904\
426549744725312780416*x^34+39209919839288195049022113*x^32-26084341577492634\
8665694448*x^30+1438172011895168461383846000*x^28-65342230874921737246492651\
68*x^26+24272829647660231761839845184*x^24-72952685507032170385511927808*x^2\
2+174954454381704002894058503520*x^20-328646075191036667477152828704*x^18+47\
1574023106518270127107692136*x^16-499107494652963631119105753024*x^14+370291\
322647404500897392542144*x^12-177907577359307476539914155584*x^10+4829343523\
6307896457040930624*x^8-5663188119089773163070254592*x^6+2152877561632115295\
59405952*x^4-2199570192024208134950016*x^2+4823618842158351173136

Common denominator of the automorphisms:

9375065315848281179424572946957110703244328149171995394696097444902518615036\
483284725417671534336

Complex polynomial:

x^64-8*x^60-4*x^56+576*x^52+4058*x^48+8536*x^44+5328*x^40-7416*x^36-3197*x^3\
2+7416*x^28+5328*x^24-8536*x^20+4058*x^16-576*x^12-4*x^8+8*x^4+1

Common denominator of the automorphisms:

2475272560800

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