Group GAP4(72,42)

Name: C3 x S4
Maximal quotients:GAP4(18,3) GAP4(24,12)
Real polynomial:
x^72-360*x^70+60588*x^68-6345864*x^66+464516370*x^64-25299471960*x^62+106572\
3881436*x^60-35633083356216*x^58+963007603968159*x^56-21313910385262512*x^54\
+390035397232926936*x^52-5942495869693436016*x^50+75752938399182470748*x^48-\
810650187573545975472*x^46+7296566893437985738776*x^44-552825548267971751364\
96*x^42+352459668345041349626319*x^40-1888474108116356966116296*x^38+8483840\
291664196330656636*x^36-31850681495575352529934440*x^34+99494488016960282598\
154770*x^32-257186833255703677275858168*x^30+546424066124949359736786060*x^2\
8-946371103400446627292134488*x^26+1322773030389625296671313009*x^24-1473867\
161953386134606467488*x^22+1289223217829622903463369728*x^20-868192717532953\
135333013280*x^18+438713073299235322396582560*x^16-1606295512026773806997502\
72*x^14+40541780115265526624108160*x^12-6545697077876721393904128*x^10+59993\
3186593082839851264*x^8-25176645272584078479360*x^6+241448108587156850688*x^\
4-510498527607300096*x^2+241381216456704
Common denominator of the automorphisms:
2768554751211547646782613244500623949371428629741196013185494659980225671548\
799185697197358756416703298172197273600
Complex polynomial:
x^72+4*x^69+158*x^66-1012*x^63+17223*x^60-47472*x^57+331150*x^54+575914*x^51\
+3560216*x^48+2639236*x^45+7498640*x^42-3375002*x^39+10675889*x^36-3375002*x\
^33+7498640*x^30+2639236*x^27+3560216*x^24+575914*x^21+331150*x^18-47472*x^1\
5+17223*x^12-1012*x^9+158*x^6+4*x^3+1
Common denominator of the automorphisms:
24981258403293908801351085

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.