Group GAP4(60,11)

Name: C10 x S3
Maximal quotients:GAP4(12,4) GAP4(20,5) GAP4(30,1)
Real polynomial:

x^60-180*x^58+15390*x^56-831558*x^54+31868721*x^52-921667410*x^50+2089499998\
5*x^48-380788989192*x^46+5675565751866*x^44-70026944116950*x^42+721256502524\
292*x^40-6235870444466598*x^38+45406320184683414*x^36-278827700012120898*x^3\
4+1443394718028630594*x^32-6285909088224970866*x^30+22943484583577226729*x^2\
8-69801143266713406086*x^26+175683257492063299569*x^24-362276199848461881348\
*x^22+604517361577802880957*x^20-803588203850741999622*x^18+8342733630309426\
18099*x^16-659566576502438957244*x^14+384285002203104493527*x^12-15795070473\
6338967954*x^10+43098994255863977361*x^8-7133579761774321044*x^6+61762442105\
2499595*x^4-20886455006977950*x^2+158509938145329

Common denominator of the automorphisms:

405997069699908

Complex polynomial:

x^60-3*x^54+9*x^48-27*x^42+81*x^36-243*x^30+729*x^24-2187*x^18+6561*x^12-196\
83*x^6+59049

Common denominator of the automorphisms:

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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