Group GAP4(60,6)

Name: C3 x (C5 : C4)
Maximal quotients:GAP4(12,2) GAP4(20,3)
Real polynomial:
x^60+5*x^59-225*x^58-1160*x^57+19460*x^56+101361*x^55-881755*x^54-4678945*x^\
53+23589835*x^52+131241820*x^51-395089242*x^50-2406933125*x^49+4242252645*x^\
48+30205344805*x^47-28726127445*x^46-267917754261*x^45+107288207405*x^44+172\
0690894880*x^43-21620092200*x^42-8146749530340*x^41-2208162101866*x^40+28806\
658580930*x^39+14033445699390*x^38-76747491561925*x^37-50702579618055*x^36+1\
54830809023993*x^35+125444859692175*x^34-236724373027060*x^33-22548991301428\
0*x^32+273099801174955*x^31+302269014186777*x^30-234801215117200*x^29-305925\
093271080*x^28+146315352259725*x^27+234834857179945*x^26-61770958577831*x^25\
-136565925431405*x^24+13927825992800*x^23+59797440086730*x^22+1348817912455*\
x^21-19493205735430*x^20-2386229022900*x^19+4650336160190*x^18+961495808185*\
x^17-791921941865*x^16-225509392349*x^15+92754503775*x^14+34298363335*x^13-7\
008578555*x^12-3448966200*x^11+292697380*x^10+226410040*x^9-2411530*x^8-9335\
910*x^7-347060*x^6+223997*x^5+15295*x^4-2665*x^3-235*x^2+10*x+1
Common denominator of the automorphisms:
1726929815334049855458758969543105158336410972034726854442811313961049827606\
2480711202203437896530981884850885
Complex polynomial:
x^60+82025*x^50+54052355*x^40+151761500*x^30+13511575*x^20+231250*x^10+125
Common denominator of the automorphisms:
6477641670646816450

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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