Group GAP4(96,224)

Name: C3 x ((C2 x D8) : C2)
Maximal quotients:GAP4(32,49) GAP4(48,52)
Real polynomial:
x^96-300*x^94+38916*x^92-2948400*x^90+148031541*x^88-5286558900*x^86+1405622\
66580*x^84-2873021973060*x^82+46224339717434*x^80-596170967811360*x^78+62529\
24292267104*x^76-53955736937414160*x^74+386675370087423323*x^72-231957732571\
4032140*x^70+11723460711362905320*x^68-50194574478896787780*x^66+18289334697\
1305825810*x^64-569300434309033978560*x^62+1518696003220183805292*x^60-34811\
62868701523728140*x^58+6871027951027216217604*x^56-11697250931435621396520*x\
^54+17196789818672229472524*x^52-21851226330683267552520*x^50+24008563832983\
632606959*x^48-22811463115615491680040*x^46+18737417107657419011676*x^44-132\
96736139070026554860*x^42+8143270522699041077241*x^40-4297665710268409583460\
*x^38+1950818448894236642268*x^36-759825682457039969460*x^34+253195538399080\
375954*x^32-71930989626500875620*x^30+17348849434394970444*x^28-353469901812\
5280240*x^26+604764479830923318*x^24-86279003989760880*x^22+1017735065475087\
6*x^20-982502013420960*x^18+76659127195701*x^16-4759468461780*x^14+230521596\
768*x^12-8487322620*x^10+229329562*x^8-4324320*x^6+52632*x^4-360*x^2+1
Common denominator of the automorphisms:
1562006419011156014791279624495079917757791567187684583675834882192375090157\
2797114452904959538420862241531881360
Complex polynomial:
x^96+2227500*x^84+1653348406250*x^72-1270440703125000*x^60+29944951245117187\
5*x^48+19850635986328125000*x^36+403649513244628906250*x^24-8497238159179687\
500*x^12+59604644775390625
Common denominator of the automorphisms:
8064605269469056767654418945312500000

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.