Group GAP4(96,127)

Name: C2 x C2 x (C3 : C8)
Maximal quotients:GAP4(32,36) GAP4(48,9) GAP4(48,42)
Real polynomial:
x^96-536*x^94+127170*x^92-17753180*x^90+1634977013*x^88-105594023600*x^86+49\
66357926205*x^84-174519314828196*x^82+4669599040429956*x^80-9658626087728942\
4*x^78+1564479092471864043*x^76-20075930706457376260*x^74+206266867598531487\
820*x^72-1713267801540806195988*x^70+11605009779679124692082*x^68-6460220034\
0050537440448*x^66+297549133210470719806225*x^64-1140476685079402384882772*x\
^62+3655371582770076940761168*x^60-9835779660328254144246344*x^58+2228778159\
9091425050604240*x^56-42629227136098028806060968*x^54+6892913008702756509312\
1836*x^52-94299736285302676148756604*x^50+109165818708153435434202480*x^48-1\
06880345015741578408676016*x^46+88395874378277130455812394*x^44-616468176120\
97686456862908*x^42+36166203329039330468081417*x^40-177968274782946846747250\
12*x^38+7320643719284271614673834*x^36-2507566561919163128509324*x^34+712222\
842202238523144177*x^32-166976743724742015015744*x^30+3215479944008918714942\
0*x^28-5059340611990855816432*x^26+646677780246667594055*x^24-66710372132299\
262516*x^22+5511857661578236996*x^20-361400317936147476*x^18+185881388958908\
47*x^16-738829235792276*x^14+22247018627562*x^12-493787176892*x^10+776773219\
8*x^8-81544160*x^6+515229*x^4-1572*x^2+1
Common denominator of the automorphisms:
1763780492188568506300655121202386318250702291797766460955343288606228402526\
1727229318861615637596436926830661870179552709449211782576492180208796395138\
5088213123985373992603994719373719049754704105669168460702362322001306653840\
5785993242561935660836842930438296645285691175258984177684167474776078628621\
7638541711
Complex polynomial:
x^96-4775085449218750*x^48+3552713678800500929355621337890625
Common denominator of the automorphisms:
452882886747829616069793701171875000000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.