Group GAP4(64,242)

Name: ((C4 x C4) : C2) : C2
Maximal quotient:GAP4(32,49)
Real polynomial:

x^64-296*x^62+33092*x^60-1994672*x^58+74890080*x^56-1892278072*x^54+33742706\
848*x^52-438248620984*x^50+4238337827618*x^48-31010872547920*x^46+1736618000\
87684*x^44-750565929528488*x^42+2518182941288352*x^40-6582951132355208*x^38+\
13435334970488796*x^36-21417046890340272*x^34+26640172802743123*x^32-2579979\
9882887568*x^30+19388382869823396*x^28-11256653408265032*x^26+50219957540435\
52*x^24-1710444440059112*x^22+441219163171964*x^20-85351933323760*x^18+12226\
250339618*x^16-1275686582536*x^14+94882030048*x^12-4890080248*x^10+168336480\
*x^8-3693488*x^6+48572*x^4-344*x^2+1

Common denominator of the automorphisms:

2711670945332032645138505736792259053983230734165006114401946476688199303096\
312541572412340000

Complex polynomial:

x^64+64*x^60+5184*x^56+30848*x^52+401468*x^48+1377792*x^44+7613632*x^40+7964\
992*x^36+26677638*x^32+7964992*x^28+7613632*x^24+1377792*x^20+401468*x^16+30\
848*x^12+5184*x^8+64*x^4+1

Common denominator of the automorphisms:

14908498982092800

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