Group GAP4(36,6)

Name: C3 x (C3 : C4)
Maximal quotients:GAP4(12,1) GAP4(12,2) GAP4(18,3)
Real polynomial:

x^36-150*x^34+9360*x^32-324900*x^30+7078500*x^28-103374000*x^26+1053148500*x\
^24-7674840000*x^22+40623660000*x^20-157401750000*x^18+447031350000*x^16-925\
911000000*x^14+1381819500000*x^12-1455435000000*x^10+1047465000000*x^8-49005\
0000000*x^6+137700000000*x^4-20250000000*x^2+1125000000

Common denominator of the automorphisms:

44360361864787875000000

Complex polynomial:

x^36-5*x^35+20*x^34-76*x^33+220*x^32-454*x^31+1116*x^30-1151*x^29+434*x^28-4\
551*x^27+8346*x^26+20436*x^25-39155*x^24-61282*x^23+99510*x^22+123368*x^21-9\
9428*x^20+28544*x^19+653721*x^18+364906*x^17+627480*x^16+235805*x^15+186350*\
x^14+74971*x^13+52053*x^12+55159*x^11+47554*x^10+30263*x^9+18933*x^8+9197*x^\
7+3898*x^6+1483*x^5+454*x^4+119*x^3+33*x^2+8*x+1

Common denominator of the automorphisms:

2038318796214978813

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