Group GAP4(64,265)

Name: C2 x ((C2 x Q8) : C2)
Maximal quotients:GAP4(32,50) GAP4(32,51)
Real polynomial:

x^64-576*x^62+158112*x^60-27527040*x^58+3412691678*x^56-320688360720*x^54+23\
738697297000*x^52-1420330061423520*x^50+69934430095536991*x^48-2870569340778\
622032*x^46+99147723244136129736*x^44-2901063431225295859680*x^42+7224865053\
0410922795612*x^40-1536110540190272201776992*x^38+27928775192539009212322992\
*x^36-434409889309173186755488704*x^34+5776363572557120852155024383*x^32-655\
43529495984168901461110496*x^30+632791187779534302956758469424*x^28-51769852\
51974940961625427652160*x^26+35698917162019522422612692256174*x^24-206078655\
720459206364750304626384*x^22+987382834887397500843642608184648*x^20-3884494\
636464336716664623261241888*x^18+12378314710313828325809680980220209*x^16-31\
395043909168025164723244706598800*x^14+61932162920039306996307997486707432*x\
^12-92078001358526142693872208271759968*x^10+9861718718587568404144787905970\
5272*x^8-70952665771794700350941934989638080*x^6+303809392989666041268859419\
02646816*x^4-5982353708328720066975310066458240*x^2+211527961623742029240202\
530406416

Common denominator of the automorphisms:

10164475669822897405006592117340932933212652508808861256908800000

Complex polynomial:

x^64+105938*x^56+27439633*x^48+1306957106*x^40+11320206820*x^32+1306957106*x\
^24+27439633*x^16+105938*x^8+1

Common denominator of the automorphisms:

291234859208092800000

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