Group GAP4(64,209)

Name: C2 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,33) GAP4(32,48)
Real polynomial:

x^64-288*x^62+38416*x^60-3157376*x^58+179469328*x^56-7507652608*x^54+2401768\
72064*x^52-6028312838784*x^50+120861946848416*x^48-1960757562191872*x^46+259\
82785363628800*x^44-283160566058122752*x^42+2549995679012054016*x^40-1903490\
0787297118208*x^38+117971021536220781568*x^36-607208832480797143040*x^34+259\
2973722182445513472*x^32-9165220802321544724480*x^30+26715196931390676103168\
*x^28-63881606600110204936192*x^26+124449774216412463529984*x^24-19578120385\
9246965620736*x^22+245965712981593421627392*x^20-243376231541173921316864*x^\
18+186411014403338542260224*x^16-108154685338600293138432*x^14+4624664886696\
1068523520*x^12-14068108133746210635776*x^10+2906398146668301451264*x^8-3830\
01330920554233856*x^6+29446998208920420352*x^4-1140222229184249856*x^2+15659\
563092606976

Common denominator of the automorphisms:

6404415212879487780867001283779538588360636533053680105411764736273081444334\
12389395344014847684597031000700072356867235571567977225723449559727734784

Complex polynomial:

x^64-672*x^60+254556*x^56+85240512*x^52+7777436778*x^48-153421980768*x^44+16\
45148308464*x^40+3128479145568*x^36-11319837832269*x^32-28156312310112*x^28+\
133257012985584*x^24+111844623979872*x^20+51027762700458*x^16-5033366993088*\
x^12+135281495196*x^8+3214155168*x^4+43046721

Common denominator of the automorphisms:

3314220871767441151669601608308746143024128

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