Group GAP4(90,6)

Name: C15 x S3
Maximal quotients:GAP4(18,3) GAP4(30,1) GAP4(30,4)
Real polynomial:
x^90-328*x^88+50570*x^86-4887249*x^84+333029923*x^82-17060176559*x^80+683853\
065147*x^78-22038957682465*x^76+582141731153986*x^74-12781826315338486*x^72+\
235737313334214356*x^70-3680608514408508359*x^68+48927956071694872994*x^66-5\
56050338083545890372*x^64+5417128317596054138512*x^62-4530964988519993969529\
6*x^60+325535552922349740203044*x^58-2008201289456126847580474*x^56+10623349\
477962276016858448*x^54-48090914914788075826525770*x^52+18577966431164178354\
2467150*x^50-610332066739052563432900140*x^48+1698296576479090770076694654*x\
^46-3984509111674416573174469024*x^44+7843683146617460026649728933*x^42-1288\
8522537342378881103167124*x^40+17583386486460777436841746602*x^38-1980799444\
9923855286614858703*x^36+18321818154997397418161232875*x^34-1383278170855788\
4632923334715*x^32+8469421276083404057956270814*x^30-41745760735025082775158\
62731*x^28+1642232158727883521308695911*x^26-510267057737666264620812843*x^2\
4+123646923072555695130309233*x^22-23007185993889173564912897*x^20+322647489\
7949725066686866*x^18-333572171005519719555128*x^16+24778093333661363194345*\
x^14-1282111156172729565551*x^12+44326037974917257317*x^10-95985815205577507\
1*x^8+11630836349093478*x^6-63930371599710*x^4+133762928508*x^2-51654779
Common denominator of the automorphisms:
1364444115811633406997849299609618595741747416738930293794246811977281276506\
6552023200122754468586283918470479948920680642838860154626524925218490893676\
8467070913818083487096261637955700357280642485063967811914002207719654240644\
8277716944454719785889921512993363426768390820197649650386264366675465901977\
9647617281063984
Complex polynomial:
x^90+834*x^84+292545*x^78+56220804*x^72+6468648660*x^66+458120765034*x^60+19\
838067851358*x^54+507584392378056*x^48+7206037207352676*x^42+514634458429447\
92*x^36+159886079673062841*x^30+174533282314109667*x^24+48501625737961476*x^\
18+2023769266135074*x^12+4433295702348*x^6+14348907
Common denominator of the automorphisms:
7058161089850343082969778286475945085507900072009859311614638991997988050294\
852195486223142

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.