Group GAP4(96,215)

Name: ((C4 x C2) : C2) x S3
Maximal quotients:GAP4(32,48) GAP4(48,51)
Real polynomial:
x^96-612*x^94+141642*x^92-17199648*x^90+1278369007*x^88-63755710164*x^86+226\
5534066366*x^84-59789903903532*x^82+1207444752363947*x^80-19077815701400724*\
x^78+239855797052862876*x^76-2431263376614148308*x^74+20076130679913240920*x\
^72-136180362367872820188*x^70+763994401494169309584*x^68-356497864975855169\
5212*x^66+13902017204461993263725*x^64-45489958108739765006112*x^62+12534130\
7801363450495166*x^60-291703598106159748774356*x^58+574932326869019230646793\
*x^56-961884272425030169996880*x^54+1368719930103774800595078*x^52-165918962\
2951735638949824*x^50+1715594101535399684232174*x^48-15144384864443838927246\
36*x^46+1141855224448803334302018*x^44-735368489792954054932920*x^42+4043326\
11846575852862393*x^40-189623850778307095035444*x^38+75736259900702446505226\
*x^36-25706364761137908515988*x^34+7393999589443528862765*x^32-1795860437067\
385933428*x^30+366702206816249023584*x^28-62617355611574081172*x^26+88850108\
63334421880*x^24-1039761445740077412*x^22+99463685775242916*x^20-76966729006\
72956*x^18+475845188101547*x^16-23158418738328*x^14+871289558586*x^12-247684\
41516*x^10+516164767*x^8-7555752*x^6+72702*x^4-408*x^2+1
Common denominator of the automorphisms:
1902349746032242077602839125503831711508727692322558866220832213678834621003\
357042396973202814803211468504933779012127064197205009423929221120
Complex polynomial:
x^96+1073213033789196245232100*x^72+2010129379578478821603750*x^48+624089396\
70062500*x^24+390625
Common denominator of the automorphisms:
11669318773735817675461957615491607272672000000000

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.