Group GAP4(96,231)

Name: C6 x C2 x C2 x C2 x C2
Maximal quotients:GAP4(32,51) GAP4(48,52)
Real polynomial:
x^96-2916*x^94+2725248*x^92-1237597056*x^90+323933753844*x^88-53730177512688\
*x^86+6007887846733184*x^84-472871969975691936*x^82+27040991048787154080*x^8\
0-1150835850540994982400*x^78+37147409244097440774912*x^76-92334196462204716\
9603840*x^74+17893190288668976180735680*x^72-273101590869466772946947328*x^7\
0+3310797473047174550385466368*x^68-32103708492540399538885830144*x^66+25045\
0236575061246355429421568*x^64-1579536357436900241930588811264*x^62+80855815\
10447590606059373162496*x^60-33703978460552441116363468855296*x^58+114702877\
772063248769248379449344*x^56-319352772742961599301930586169344*x^54+7284687\
11285673454506802973196288*x^52-1362717234996860706720531705741312*x^50+2091\
427709666180855238786003693568*x^48-2633252291839086509577462802513920*x^46+\
2718401475849889455378280213315584*x^44-2298588314271075310257888269598720*x\
^42+1589624059492549560320976398598144*x^40-89739770011888157147025978458112\
0*x^38+412593422112451645181584588144640*x^36-154067614265830054571309090340\
864*x^34+46575344833103911912352295026688*x^32-11355996340063107311164772843\
520*x^30+2223308382418014023330763374592*x^28-347698769360141126655393398784\
*x^26+43163667522350620415593283584*x^24-4221711929180352296289042432*x^22+3\
22404959229278463291555840*x^20-19017329227164896886521856*x^18+855159918069\
162848550912*x^16-28851612551100336439296*x^14+715980635399908229120*x^12-12\
737778710174760960*x^10+156866077362487296*x^8-1270856193933312*x^6+62554185\
40032*x^4-16307453952*x^2+16777216
Common denominator of the automorphisms:
4065881635374475869914918977010376788770705863377468886429795655717349534152\
7297485489305106163962728177935031823019388997521746824962074191794587791367\
61151853722517251336402108416000
Complex polynomial:
x^96+7*x^92+x^88-322*x^84-2254*x^80-322*x^76+103683*x^72+15134*x^68-4870846*\
x^64-34096251*x^60-4870894*x^56+1568412734*x^52+10978889139*x^48+1568412734*\
x^44-4870894*x^40-34096251*x^36-4870846*x^32+15134*x^28+103683*x^24-322*x^20\
-2254*x^16-322*x^12+x^8+7*x^4+1
Common denominator of the automorphisms:
160500643816367088

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.