Group GAP4(30,3)

Name: D30
Maximal quotients:GAP4(6,1) GAP4(10,1)
Real polynomial:

x^30-240*x^28+24364*x^26-1366520*x^24+46492470*x^22-994986280*x^20+135271036\
60*x^18-116596891080*x^16+634140564945*x^14-2144111162280*x^12+4349007947424\
*x^10-4933119511040*x^8+2746986107136*x^6-564152514560*x^4+40138752000*x^2-4\
09600000

Common denominator of the automorphisms:

2704877742965967360879570452480000

Complex polynomial:

x^30+4*x^29+12*x^28+25*x^27+55*x^26+117*x^25+283*x^24+943*x^23+3749*x^22+130\
07*x^21+36128*x^20+80560*x^19+147071*x^18+223479*x^17+285993*x^16+310265*x^1\
5+285993*x^14+223479*x^13+147071*x^12+80560*x^11+36128*x^10+13007*x^9+3749*x\
^8+943*x^7+283*x^6+117*x^5+55*x^4+25*x^3+12*x^2+4*x+1

Common denominator of the automorphisms:

1150026421999

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