Group GAP4(96,157)

Name: (C2 x (C3 : C8)) : C2
Maximal quotients:GAP4(32,42) GAP4(48,43)
Real polynomial:
x^96-2784*x^94+3199272*x^92-2002601160*x^90+762648621642*x^88-18714352196875\
2*x^86+30580290775087968*x^84-3396568814153115936*x^82+260279919998638758069\
*x^80-13937299726099122694512*x^78+527871836278705519803852*x^76-14315600603\
384512054057896*x^74+281393455721611276075552182*x^72-4055566599572149085739\
454464*x^70+43310818381363530827199867180*x^68-34597517443676929526139484171\
2*x^66+2084501687999013207071843503506*x^64-9541197116449261382652839075040*\
x^62+33389079438425118236151705605676*x^60-89855865345852788261556846653952*\
x^58+187032128594028307855379704388529*x^56-30286948866156478772129987080466\
4*x^54+383868889415967972158334567759660*x^52-383136634571156383891600825094\
424*x^50+302959744486984194798985363021583*x^48-1908837471524099900426567174\
69616*x^46+96337369515274141690491698725116*x^44-391280448199865363064152601\
39360*x^42+12840142065245981616008446974180*x^40-341528354973863016872162576\
4456*x^38+738056193360865892615459136540*x^36-129780930187425575496655112496\
*x^34+18579974452485077840781791202*x^32-2164827791941982315883920376*x^30+2\
04987358243390791581366328*x^28-15734579374414715267959512*x^26+975395517413\
930952519843*x^24-48583814841503414985984*x^22+1931538876171540879024*x^20-6\
0776282826518196744*x^18+1497337668414874698*x^16-28493362978994688*x^14+411\
552480779508*x^12-4410191524560*x^10+33998143581*x^8-180449136*x^6+616164*x^\
4-1200*x^2+1
Common denominator of the automorphisms:
3222027446949557036570986177229363404608725067722053463217511760907339794688\
2678981916628761533654066765150925690811605795121119054164545403366450249522\
8741597368231232741809232081369183746134980194258221088638396362659633570778\
388089357072180103547800807555092750283452716862823591975002800
Complex polynomial:
x^96+756*x^90+151920*x^84-6047460*x^78-159546936*x^72+2626912620*x^66+827936\
74800*x^60+566498215044*x^54+362680092414*x^48-5098483935396*x^42+6706287658\
800*x^36-1915019299980*x^30-1046787447096*x^24+357096465540*x^18+80736516720\
*x^12-3615924564*x^6+43046721
Common denominator of the automorphisms:
4811877656004951660693601799506127257720086240

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.