Group GAP4(96,174)

Name: C3 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,34) GAP4(48,45)
Real polynomial:
x^96-1440*x^94+772116*x^92-201091840*x^90+29476560528*x^88-2735184620160*x^8\
6+173459921957112*x^84-7900247995247520*x^82+267066726709375062*x^80-6853774\
645650406880*x^78+135667398093314359968*x^76-2095601155220259549120*x^74+254\
87705936697941936720*x^72-245915275559567662834560*x^70+18949168019598973313\
73444*x^68-11736035617988815175379360*x^66+58785737443945819366786461*x^64-2\
39559124556685987673172640*x^62+798563529993707443613347432*x^60-21879428669\
10253532751108480*x^58+4946602817033314465532565840*x^56-9256332021726168400\
671023680*x^54+14365978720940153285011340028*x^52-18513728522012448379989627\
840*x^50+19816726630370858312639304042*x^48-17608628533984307131231255680*x^\
46+12973736670748570063542703248*x^44-7912665992676296797233025600*x^42+3986\
842236242590369549862784*x^40-1655946261152694479879321280*x^38+565751723799\
638019265383688*x^36-158646093933353910808379040*x^34+3643336415964857775472\
3518*x^32-6835607652270850173013440*x^30+1044659389140581952117060*x^28-1295\
41684959913008456000*x^26+12966208476256539703424*x^24-104018985960469760448\
0*x^22+66249729209246414196*x^20-3308019580959907520*x^18+127396405555491564\
*x^16-3705911735041440*x^14+79360230532908*x^12-1213723120320*x^10+128124165\
60*x^8-89627200*x^6+391752*x^4-960*x^2+1
Common denominator of the automorphisms:
7570796817713606556408143317107144899335799432873786561924081746541054355828\
4156759464865823632837502943801267351419921709948801632197345024258311611308\
6064082200918960424843938400
Complex polynomial:
x^96+68*x^84+1738*x^72+180992*x^60+7810291*x^48+22014272*x^36+58183498*x^24+\
7628*x^12+1
Common denominator of the automorphisms:
28960210972990836

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.