Group GAP4(96,142)

Name: (C2 x C2 x (C3 : C4)) : C2
Maximal quotients:GAP4(32,30) GAP4(48,39) GAP4(48,43)
Real polynomial:
x^96-360*x^94+61404*x^92-6614072*x^90+505936446*x^88-29302702272*x^86+133786\
1362688*x^84-49498966034280*x^82+1514082973151349*x^80-38870432054751600*x^7\
8+847390358538460584*x^76-15833027549722889880*x^74+255442928241359360666*x^\
72-3580128356412934341048*x^70+43804789132408806264444*x^68-4698015707428900\
93466560*x^66+4431005526992847569975322*x^64-36849515493476283326088408*x^62\
+270773978630416610672795620*x^60-1760821853394498221550230712*x^58+10144906\
646355221867909162070*x^56-51821817780465472347340286736*x^54+23477050869539\
8697712143608584*x^52-943208178284015434557822442680*x^50+335897481117072386\
6079564477901*x^48-10594450231783845527367100398384*x^46+2955919366921374726\
7273917169608*x^44-72836106895248967161226211758728*x^42+1581823466818511987\
49802281945558*x^40-302031642063021011161492097157192*x^38+50553417629008661\
7820447116164452*x^36-739177394103137201755963365512736*x^34+940362214507957\
767900538925419482*x^32-1035997350599621703060573186544424*x^30+983074730612\
849730255964918565628*x^28-798452461873081638267166972524456*x^26+5510136761\
57237371171823494639514*x^24-320317502803152592324164556758480*x^22+15525352\
7857051482536379536985192*x^20-61963834624774498009727206443720*x^18+2005287\
9608579937152287088663349*x^16-5159840670466115703402533244480*x^14+10286958\
43583085717218881192256*x^12-153336883584860814477954753288*x^10+16219535135\
267888944622411454*x^8-1120022967791066201201241208*x^6+43327113409228671219\
195612*x^4-654464946716221759060560*x^2+992154682722196234081
Common denominator of the automorphisms:
5898170801567657422082664837246612213794037886110350932452515007997805395327\
0744711126521111998775074414678335068763239681815597105359022065309890542446\
0554533171693625069159313980452589685638209181669192375986081358273192646051\
455417805627084154232959618485953470574286317341772339731866286678137896960
Complex polynomial:
x^96-96*x^90+31548*x^84-435096*x^78+85687416*x^72-1648404432*x^66+2122197937\
2*x^60-121858462584*x^54+653437275822*x^48+1549565821440*x^42+17588242390788\
*x^36+18620309773656*x^30+7891856282232*x^24-795823056*x^18+28996601940*x^12\
+120459960*x^6+531441
Common denominator of the automorphisms:
6605025596580984733555408784561299721338884091368903384076844244000

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.