Group GAP4(96,133)
Name: (C4 x (C3 : C4)) : C2
Maximal quotients:GAP4(32,24) GAP4(48,37) GAP4(48,42)
Real polynomial:
x^96-372*x^94+65718*x^92-7346244*x^90+584141571*x^88-35215053804*x^86+167517\
1118304*x^84-64618431046056*x^82+2061402164025777*x^80-55192607109267660*x^7\
8+1254421569726932796*x^76-24418851039321721812*x^74+410024715178336549029*x\
^72-5972707757056918907160*x^70+75822230313499709861676*x^68-841931104011625\
818608652*x^66+8201037108414361747883265*x^64-70233431888116244943244800*x^6\
2+529686853181504681488761906*x^60-3521944354373750760915811968*x^58+2065896\
3826924826760661067694*x^56-106922622070451407711432354596*x^54+488136415102\
417963713489217488*x^52-1964281794093397012181822558676*x^50+695890345666041\
7349310385571547*x^48-21668739967555079916629737798344*x^46+5917708776539873\
0033849221200180*x^44-141367904662130908840338924330720*x^42+294469841407863\
878616497177739348*x^40-532828870841913046033693247145576*x^38+8338440378129\
99711822047758479300*x^36-1122874580110878759120054308931096*x^34+1293613898\
932546983039159984201831*x^32-1266565523222140625694384876138588*x^30+104598\
4077335688764158036966782726*x^28-722382653442408650258813536990140*x^26+413\
134446332551284442459206584091*x^24-193458609747770924162993168813940*x^22+7\
3204517672838238442081703953436*x^20-22038080119842922073215700073696*x^18+5\
180053197139015906251578335770*x^16-928848415357477470050485392816*x^14+1233\
66115747070520057475152966*x^12-11671221442434544887814675296*x^10+744466964\
234786919085811796*x^8-29439783699822638903330244*x^6+6246135477395214582210\
84*x^4-5228945033212746034524*x^2+6355401062380742241
Common denominator of the automorphisms:
4588694277112543874305120806784320344211983222788843348814628129866772003850\
5570343875116272246345237970304537515067696842969161762096460772317770098926\
2603610243593338686268978648489381077031056537406602877019814910974710198545\
37267141430031816497883892419141317956637646592854854473035950728800
Complex polynomial:
x^96+10752*x^88+214039296*x^80+694510894960*x^72+4859635811819520*x^64-32542\
20106500814848*x^56+915109755071405949184*x^48-111590536541277572333568*x^40\
+5875891213249556664975360*x^32+241537498116067717120*x^24+28545316330930176\
*x^16-70148947968*x^8+65536
Common denominator of the automorphisms:
2097129737560058998592323143597684035514941816000226323054465314000915855015\
7582248429275806288113664000
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.