Group GAP4(96,93)
Name: (C2 x C2 x (C3 : C4)) : C2
Maximal quotients:GAP4(32,30) GAP4(48,36) GAP4(48,39)
Real polynomial:
x^96-480*x^94+109680*x^92-15892560*x^90+1641163440*x^88-128691853440*x^86+79\
72650264560*x^84-400851917181120*x^82+16674431383165920*x^80-582105081680761\
600*x^78+17240203998269940096*x^76-436820216670021250560*x^74+95301296777841\
94488960*x^72-179934502792957859397120*x^70+2951384493436343960532480*x^68-4\
2178438309330635394708480*x^66+526274911354680554215941120*x^64-574104513435\
1581718251325440*x^62+54796743501536995512759421440*x^60-4577113692794366932\
69277952000*x^58+3344792281245328644751362579456*x^56-2136736664177842807567\
6630282240*x^54+119182186238831658393715696650240*x^52-579489785625870981880\
717107118080*x^50+2451212238347251629524901590878720*x^48-899875219265142377\
6949727164702720*x^46+28593060863115769873069730074030080*x^44-7839274184433\
7470707319445317365760*x^42+184815145538878292149554596860047360*x^40-373251\
081869960293900270332547891200*x^38+643067709386446068381933112136503296*x^3\
6-940828458356003165215480224870481920*x^34+11629311181927273698197333021809\
45920*x^32-1207596094150433141391601688291082240*x^30+1046723749193468265455\
738105938575360*x^28-751814299878451469831943323771535360*x^26+4436998223161\
08160991868505681674240*x^24-213047567699908655723364733542727680*x^22+82259\
823890120600798768359693025280*x^20-25183838785984919619567226188595200*x^18\
+6009924245326384645879241873227776*x^16-1094784248484063133550201851084800*\
x^14+148328204540638440121716945715200*x^12-14470535467753856033330626560000\
*x^10+975812242897990162532597760000*x^8-43113509819222944333824000000*x^6+1\
154262169163000217600000000*x^4-16403768513187840000000000*x^2+9295425345600\
0000000000
Common denominator of the automorphisms:
1926511772119279996724653596009107424462020465603006464179736694261131150401\
0898254286438125758619100679721947757433875835741932315560211223551552480884\
4483266242644459031854071368885449358320114820644693248332569621294352859058\
75635312641755249888000000000000000
Complex polynomial:
x^96+224*x^84-27740*x^72-6175136*x^60+1131448134*x^48+2824042016*x^36+232279\
1332*x^24-88928*x^12+1
Common denominator of the automorphisms:
282742427554465398252592540928
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.