Group GAP4(96,195)

Name: (C2 x C2 x A4) : C2
Maximal quotients:GAP4(24,8) GAP4(48,48)
Real polynomial:
x^96-528*x^94+131664*x^92-20676272*x^90+2300336964*x^88-193374547056*x^86+12\
791698451136*x^84-684660346141104*x^82+30256395267199446*x^80-11209225758743\
16976*x^78+35227916021193612864*x^76-948017060906922307632*x^74+220102468362\
72758555588*x^72-443560553403474976928784*x^70+7797300161416817580539424*x^6\
8-120043260991896398909948880*x^66+1623801552948759201099558273*x^64-1934809\
8294122838496279400832*x^62+203473265440951910020548792880*x^60-189132143705\
3085355687168453344*x^58+15553508613445009099458845821056*x^56-1132184085466\
19024142123736153280*x^54+729567073275785256614154969737376*x^52-41603004887\
28118737555759725513664*x^50+20978099633913973490575369084734288*x^48-934279\
01073809953002829441164943872*x^46+366904867592835906413400729084430656*x^44\
-1267929447437196835317370022100025472*x^42+38458052055284239526315644073338\
76352*x^40-10206712959638915541418862456450602752*x^38+236153530206965191817\
54555437780566400*x^36-47428145220015609099632410894228295424*x^34+822658276\
00644758188774460292523715424*x^32-122516827800407359470706403318882936832*x\
^30+155599095512466576751886846913682116864*x^28-167194615876010952335420383\
656832891392*x^26+150611248187051518581280107194364062720*x^24-1125317412167\
10669086651669809427100672*x^22+68873715816766388237958170146735640064*x^20-\
34025833342747384690012032630883296256*x^18+13333299652352816159218126162940\
765952*x^16-4057189016563932070294002702330261504*x^14+933718476880762624495\
762808444107776*x^12-157100026615474732245710259621931008*x^10+1846437647504\
4527799530627221681152*x^8-1421416099464128979999789649117184*x^6+6499213635\
1964249337284718372864*x^4-1496798633044529774685719199744*x^2+1256842886931\
3501060912414976
Common denominator of the automorphisms:
6674376879436928049420933805606246201369659223665395994439423086990411160011\
1718627879390741244907056924981354910743703952014224010982302759402374847904\
0594002168459232330341417242074530218249454133877721529653876313431065296371\
641004845182597147146246333316381127446648836957831644391584263307264
Complex polynomial:
x^96+87*x^92+5655*x^88+132000*x^84+2099223*x^80+22124880*x^76+178010703*x^72\
+1083675672*x^68+4987658754*x^64+15118823394*x^60+28734939135*x^56-316268247\
87*x^52-314715452193*x^48-536463357291*x^44+2795718848391*x^40-529395354558*\
x^36+26682619606794*x^32-29409230683296*x^28+17173810156167*x^24-14931893525\
472*x^20+7361622237231*x^16+194009977224*x^12-15425075025*x^8+301327047*x^4+\
43046721
Common denominator of the automorphisms:
1368991381127954770164925561026751795841745295401240414441687433483188705233\
99329709568

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.