Group GAP4(96,90)

Name: (C2 x C4 x S3) : C2
Maximal quotients:GAP4(32,30) GAP4(48,37) GAP4(48,38) GAP4(48,39)
Real polynomial:
x^96-360*x^94+61500*x^92-6643144*x^90+510084846*x^88-29674162896*x^86+136130\
8942280*x^84-50609936512296*x^82+1555152218360853*x^80-40085496559034464*x^7\
8+876658281423405024*x^76-16413407502699839544*x^74+264973447555031306794*x^\
72-3709756913702692309416*x^70+45253622962433243467380*x^68-4827953329780431\
27753296*x^66+4518450489084180668686074*x^64-37185593742251856230740728*x^62\
+269602717258699861957146260*x^60-1724387063184544372606972584*x^58+97389891\
93515061503832413382*x^56-48595360985865319231341693152*x^54+214262301122196\
205079713426224*x^52-834594337837593803168420356056*x^50+2870348094278342737\
862237842477*x^48-8707908342483701115675301761600*x^46+232722295611670693463\
39939889168*x^44-54696026179207668130081982227752*x^42+112804258429642533880\
004388399942*x^40-203608116262669352155826619169944*x^38+3206090610043596849\
78953975607180*x^36-438740659882400395186733288434704*x^34+51941720755296572\
0854537210874490*x^32-529119297258662200356326489520456*x^30+460813998874780\
651330543865103468*x^28-340483431401174767495932558034488*x^26+2114755921876\
25697213361386398634*x^24-109189879496016648847935577372224*x^22+46235943889\
722495055609042197600*x^20-15792237428236020139775151786984*x^18+42626963339\
82540521698533793173*x^16-886545434440112058871378172208*x^14+13769085855187\
9473586959443256*x^12-15368162101918234016282166600*x^10+1175558912143609140\
975125358*x^8-57833803119639809415598344*x^6+1659351915714319863421860*x^4-2\
3247563046989219656416*x^2+106957970713332866241
Common denominator of the automorphisms:
1689857908535900046272464812966368252262140194782039574452805802614634941321\
5633808832296953458545463567778344433649676259957383601273550007470145069480\
8597669912245369257028333479857190270391483729949722232223186379046040868147\
7257169616763234709402036866623550030664237056000
Complex polynomial:
x^96+18096*x^84+108734148*x^72+5791292208*x^60+89565985062*x^48-52121629872*\
x^36+8807465988*x^24-13191984*x^12+6561
Common denominator of the automorphisms:
658259825886935775954432

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.