Group GAP4(96,54)
Name: C3 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,11) GAP4(48,21)
Real polynomial:
x^96-360*x^94+53412*x^92-4445160*x^90+238640922*x^88-8949894000*x^86+2466867\
51498*x^84-5174080830160*x^82+84688075563007*x^80-1102559424013280*x^78+1159\
0066436937216*x^76-99574021134419440*x^74+706233230445823371*x^72-4170297968\
440364760*x^70+20650373141107660088*x^68-86278070107591007560*x^66+305748574\
810324229821*x^64-923116020501549635160*x^62+2383435764500083893042*x^60-527\
8998061834278890420*x^58+10055088832297309911041*x^56-1650252572072130049546\
0*x^54+23370229965257517072868*x^52-28584461879023257731960*x^50+30210593278\
137697707806*x^48-27591255891975699728400*x^46+21767623598337697830030*x^44-\
14823638552685932845100*x^42+8704005650536767903322*x^40-4400109206931447631\
700*x^38+1911566715099643345550*x^36-712089545951971886360*x^34+226859790197\
862608757*x^32-61618890600093117660*x^30+14217410639934352598*x^28-277463251\
4226365140*x^26+455659825658216834*x^24-62582517189070900*x^22+7135189110731\
690*x^20-669173425870000*x^18+51044822061023*x^16-3122416290680*x^14+1504139\
55242*x^12-5572381380*x^10+153745995*x^8-3018280*x^6+39306*x^4-300*x^2+1
Common denominator of the automorphisms:
8888280474357019837022925118934432835426673829607911282084721473060122955967\
3819787216844994516406478746789391604948399227245093145412828683648730500
Complex polynomial:
x^96-6552*x^88+24536824*x^80-8041507712*x^72+1496694541264*x^64-210255890208\
00*x^56+167580495845504*x^48-129436598799872*x^40+56275605900800*x^32-442871\
9769600*x^24+196403703808*x^16-37273600*x^8+4096
Common denominator of the automorphisms:
189417320659320378914964317562049614315520
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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