Group GAP4(64,191)

Name: (C2 x Q16) : C2
Maximal quotient:GAP4(32,39)
Real polynomial:
x^64-336*x^62+50400*x^60-4521888*x^58+273793968*x^56-11953448640*x^54+392258\
220480*x^52-9951155417952*x^50+199082783752776*x^48-3186398076525216*x^46+41\
230350132281856*x^44-434558496281152320*x^42+3750132022709088240*x^40-265845\
78061900637184*x^38+155057235688694932992*x^36-744161820659156313792*x^34+29\
34636693501360422232*x^32-9482137938525393328320*x^30+2499133546819580803776\
0*x^28-53396068638102381975168*x^26+91728110142319067754624*x^24-12536930622\
9746962381824*x^22+134521254059613333421824*x^20-111443369493327459638400*x^\
18+69810471559553949836640*x^16-32211114394990175035776*x^14+105878328523357\
50240768*x^12-2373493949632024789248*x^10+342072924954114449088*x^8-29167525\
530336453120*x^6+1303049155290882048*x^4-25003684449112320*x^2+1339483095488\
16
Common denominator of the automorphisms:
1721269580579786453922992784974146001022220029639885318805213785716740148880\
0000
Complex polynomial:
x^64-112*x^56+12868*x^48+35840*x^40+130060*x^32-71680*x^24+51472*x^16+896*x^\
8+16
Common denominator of the automorphisms:
71973982080

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