Group GAP4(64,194)

Name: C2 x C2 x (C4 : C4)
Maximal quotients:GAP4(32,23) GAP4(32,45) GAP4(32,46) GAP4(32,47)
Real polynomial:
x^64-384*x^62+70284*x^60-8160480*x^58+674845137*x^56-42308545104*x^54+208988\
0922132*x^52-83453198366304*x^50+2742711731554608*x^48-75145410536154624*x^4\
6+1732279781923400232*x^44-33819834352684251456*x^42+561685957540743042927*x\
^40-7957202930293850605584*x^38+96270474290870537362152*x^36-994523100751157\
713154496*x^34+8759431127232797917348863*x^32-65591855674975298534227776*x^3\
0+415818726713144621525061432*x^28-2218912374573353283484222656*x^26+9892433\
071880640964486094607*x^24-36496230883593484197494294640*x^22+11009148669003\
1795912074254904*x^20-267463314986208845386485220416*x^18+513484976397721575\
312362495376*x^16-760473925485390067069141562880*x^14+8423697974961598850200\
53706020*x^12-670089950276200936492066452000*x^10+36202885211237666139212001\
5025*x^8-122270120503986744833788062000*x^6+22463789101610840851185985500*x^\
4-1677714894294381536169060000*x^2+748444267568503888250625
Common denominator of the automorphisms:
1016205022789193573047138559942324444132773003809375
Complex polynomial:
x^64+12*x^60+81*x^56+1188*x^52+14256*x^48+153576*x^44+1568079*x^40+15204024*\
x^36+139401567*x^32+1231525944*x^28+10288166319*x^24+81616583016*x^20+613674\
054576*x^16+4142299868388*x^12+22876792454961*x^8+274521509459532*x^4+185302\
0188851841
Common denominator of the automorphisms:
983752976426535288225

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.