Group GAP4(96,210)

Name: C2 x ((C2 x (C3 : C4)) : C2)
Maximal quotients:GAP4(32,48) GAP4(48,39) GAP4(48,51)
Real polynomial:
x^96-480*x^94+105480*x^92-14141200*x^90+1300718040*x^88-87525338400*x^86+448\
5968869760*x^84-180005565481440*x^82+5767312435457760*x^80-14970660984854800\
0*x^78+3183086956605552240*x^76-55899061894583795520*x^74+815888552947375724\
016*x^72-9943506555567719934720*x^70+101520481394403141228000*x^68-870141118\
128895235291200*x^66+6267779753034750939423840*x^64-379470370524649104446380\
80*x^62+192948788108770059715119360*x^60-822593078347852369230472320*x^58+29\
32972630682374144722493440*x^56-8716336408674091954285456000*x^54+2149846522\
4483657175910733760*x^52-43782359871819269304395354880*x^50+7318524032296150\
6029775360096*x^48-99742185094593460093486763520*x^46+1100335528105451770811\
61893760*x^44-97524704099912938424208915200*x^42+689429964484269677697409056\
00*x^40-38622834653540029678897712640*x^38+17060496754914615486233088000*x^3\
6-5923158560019725946652746240*x^34+1614152514749260596074288640*x^32-345290\
750763376344999104000*x^30+58025968099712294929071360*x^28-76674993568497320\
26567680*x^26+797034126863991677427456*x^24-65144099093229914234880*x^22+417\
8501134766856552960*x^20-209546519341407718400*x^18+8165807548949598720*x^16\
-245027584303073280*x^14+5587808253562880*x^12-95056719820800*x^10+117414844\
4160*x^8-10110924800*x^6+56816640*x^4-184320*x^2+256
Common denominator of the automorphisms:
4607983991094713615109123787510379609903931562269518391939857132329606806689\
1988971761472961987556355260992134741228883287248300068896922971536763217465\
1854682749160980601917371952455929588254720023208128595695337082880000
Complex polynomial:
x^96+249507*x^84+15916439043*x^72+2460670342929*x^60+645101427895200*x^48+57\
141746901104049*x^36+2622634338144981843*x^24-12186404129121518493*x^12+1452\
1559183993082321
Common denominator of the automorphisms:
23958541798347146383262765829632944404844661334812066520578313175627261440

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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