Group GAP4(96,164)

Name: C3 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,24) GAP4(48,44) GAP4(48,47)
Real polynomial:
x^96-720*x^94+198828*x^92-28466640*x^90+2412127683*x^88-132167862576*x^86+50\
01381870540*x^84-137210542897032*x^82+2829050309704847*x^80-4503709645636752\
0*x^78+565074904506713100*x^76-5677381513987090272*x^74+46248177399196308646\
*x^72-308469182954985349488*x^70+1697856121157607170796*x^68-776060964238793\
8100544*x^66+29608225098252574581057*x^64-94681011832734205179648*x^62+25465\
1230549251194811948*x^60-577716501687573474606600*x^58+110823491220624995089\
4394*x^56-1801381717594140047462448*x^54+2485525087876101687440556*x^52-2915\
668044009935737155648*x^50+2911566781055995949042270*x^48-247761566540192036\
8739520*x^46+1797990416666155125604392*x^44-1113209249190589946296368*x^42+5\
88076263919534641051597*x^40-264976318270124616969360*x^38+10175053717448353\
3283748*x^36-33252325073349973408872*x^34+9229688362509875799313*x^32-216989\
9533820489037120*x^30+430549262744323090752*x^28-71772132936568453848*x^26+9\
994485852048568515*x^24-1154432242410740208*x^22+109648471082544240*x^20-847\
2689522867808*x^18+525668238746175*x^16-25763543911440*x^14+977396351364*x^1\
2-27969323040*x^10+583647350*x^8-8477136*x^6+79896*x^4-432*x^2+1
Common denominator of the automorphisms:
9642637366920349600526221486039383298532368888639687600914029332415519866363\
3597203214794671570490459240543590896104041083836856856567916193101556506832\
7709459201941645504867170288439455214695590511768635501
Complex polynomial:
x^96+468*x^88+580294*x^80-1115414*x^72+691923505*x^64-21424379652*x^56+27371\
7032543*x^48-351460748561*x^40+176164586234*x^32+1059106299*x^24+19438393*x^\
16-7150*x^8+1
Common denominator of the automorphisms:
4416226113390564044879983298433577774700266533147240833

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.