Group GAP4(64,200)

Name: (C4 x Q8) : C2
Maximal quotients:GAP4(32,45) GAP4(32,50)
Real polynomial:

x^64-384*x^62+70272*x^60-8156160*x^58+674103726*x^56-42227807328*x^54+208361\
7097632*x^52-83084703526656*x^50+2725630228429011*x^48-74505416566271328*x^4\
6+1712555208294895008*x^44-33313582668203497728*x^42+550772447732011913436*x\
^40-7758470350278515101248*x^38+93203263235730269085120*x^36-954344454876593\
212838400*x^34+8312890781977713276629733*x^32-61389955529192865396173760*x^3\
0+382466417778902546329919040*x^28-1996832021153988235051086336*x^26+8661129\
717561414036346587996*x^24-30866425385889930622714897344*x^22+89123610279024\
807083753090112*x^20-204829699955177184205271164416*x^18+3663400779568729908\
91904425011*x^16-495284103381172464016025817888*x^14+48732125311746815720606\
1754848*x^12-331744767399393783742031014656*x^10+145983606397071053116277837\
646*x^8-38124521486073816678848437920*x^6+5490243021377301262544001888*x^4-3\
92057765712707579147328768*x^2+10642055341433820872543361

Common denominator of the automorphisms:

1504107966865531289922800498471039724600

Complex polynomial:

x^64-5544*x^56+11722320*x^48+173746944*x^40+52427533824*x^32-1641414813696*x\
^24+19460434083840*x^16+4388393189376*x^8+2821109907456

Common denominator of the automorphisms:

2971445732672028673646002176

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