Group GAP4(96,218)

Name: C2 x C2 x C2 x (C3 : C4)
Maximal quotients:GAP4(32,45) GAP4(48,42) GAP4(48,51)
Real polynomial:
x^96-432*x^94+88500*x^92-11456200*x^90+1053504690*x^88-73358208408*x^86+4025\
987898196*x^84-178971170729640*x^82+6572773406414175*x^80-202391675024131800\
*x^78+5285227449701439768*x^76-118099762211579020896*x^74+227427801419572826\
4620*x^72-37960546564291793762160*x^70+551721090934882566950520*x^68-7008421\
614088569620274544*x^66+78042219677785081200634863*x^64-76361510101378792892\
4058080*x^62+6577370028204326607106085380*x^60-49941403586695896766067651400\
*x^58+334596047994809573200339991058*x^56-1979215910615200961069894378296*x^\
54+10339278026340771615429486311940*x^52-47696170067342847663226419411720*x^\
50+194226046126734752170336685222545*x^48-697684785328611420857398257503064*\
x^46+2208487523575635593188308444162288*x^44-6152080020906885767944423508941\
840*x^42+15055226432086526266475405683089360*x^40-32296907759922146920439865\
684696000*x^38+60577874141345596657419953802746416*x^36-99035252936425649804\
262770115380832*x^34+140593774967569712752946441747848320*x^32-1725464234890\
20410325551185402765760*x^30+182092863811206376476804197339979840*x^28-16418\
8994207657305975657418969756928*x^26+125513832342634616963926987700102496*x^\
24-80578306524378376987141767390518400*x^22+42935864783866344487998062728961\
280*x^20-18709326817153987235787240868806400*x^18+65405645417974368989956652\
22912000*x^16-1788205106609378727995961115008000*x^14+3690628136216099625788\
77290080000*x^12-54587192158918998966628368960000*x^10+532488556632489385771\
0142400000*x^8-294360894733014020942537600000*x^6+65004549568101922479168000\
00*x^4-21413975302740623904000000*x^2+17919704895708004000000
Common denominator of the automorphisms:
9308611943113266645051640858148624340857959781051745842723422236223710541402\
1900321256974955125693293877746574656050701799069582322163217828140430882511\
3557799613373866056753384447965420593623342356800209548703672295813366183116\
80000000
Complex polynomial:
x^96+112*x^84+8448*x^72+487424*x^60+19988480*x^48+1996488704*x^36+1417339207\
68*x^24+7696581394432*x^12+281474976710656
Common denominator of the automorphisms:
214624669741875200

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.