Group GAP4(96,168)

Name: C3 x ((C4 x C2 x C2) : C2)
Maximal quotients:GAP4(32,28) GAP4(48,45) GAP4(48,47)
Real polynomial:
x^96-1080*x^94+383376*x^92-67808880*x^90+7112834388*x^88-487984332240*x^86+2\
3287629978080*x^84-805959010315800*x^82+20844274368570366*x^80-4120841081159\
22600*x^78+6339328208712461952*x^76-76984210059471480600*x^74+74677244078577\
4667920*x^72-5843367653303674223280*x^70+37187585039534661126864*x^68-193824\
870318050257037880*x^66+832264651811200167744381*x^64-2958963557472396365632\
920*x^62+8747959660477306866893216*x^60-21584502556796292524711280*x^58+4458\
3028023620690962062684*x^56-77282306943568480938735720*x^54+1126543722226635\
38551771824*x^52-138307395304876669337535120*x^50+14317003153190508554433085\
0*x^48-125044122023898943472929440*x^46+92170453037144465200635456*x^44-5732\
7861385909107160132680*x^42+30069175715711421859035972*x^40-1328588266592331\
6952720680*x^38+4937208203530034282468576*x^36-1539783041621940202845240*x^3\
4+401901258010495855944654*x^32-87489119985284213118000*x^30+158167159966581\
84145872*x^28-2362480251015810221640*x^26+289742829336275956732*x^24-2896002\
3606762937680*x^22+2337699615813347664*x^20-150719846202049680*x^18+76559420\
38700268*x^16-301179837547800*x^14+8977705439408*x^12-197087280840*x^10+3066\
738024*x^8-32042520*x^6+207072*x^4-720*x^2+1
Common denominator of the automorphisms:
9732802643359039048009794452193082388351251769778031624091901300905734304032\
0005091337343186358663463051338687530521449687800478377725216133688119768956\
769557376
Complex polynomial:
x^96-57420*x^84+844142362*x^72-413559432*x^60+795311283*x^48-1799028792*x^36\
+844069498*x^24+20988*x^12+1
Common denominator of the automorphisms:
185494078718121200113438830317280

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.