Group GAP4(36,8)

Name: C12 x C3
Maximal quotients:GAP4(12,2) GAP4(18,5)
Real polynomial:
x^36-x^35-36*x^34+35*x^33+594*x^32-560*x^31-5952*x^30+5426*x^29+40454*x^28-3\
5554*x^27-197288*x^26+166634*x^25+712180*x^24-576199*x^23-1934944*x^22+14947\
00*x^21+3983738*x^20-2928983*x^19-6208136*x^18+4331906*x^17+7259749*x^16-479\
5428*x^15-6263633*x^14+3907332*x^13+3879994*x^12-2278575*x^11-1655004*x^10+9\
08896*x^9+456052*x^8-230058*x^7-73571*x^6+32327*x^5+6018*x^4-1922*x^3-216*x^\
2+24*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^36-x^35+3*x^34-4*x^33+9*x^32-14*x^31+28*x^30-47*x^29+89*x^28-155*x^27+286*\
x^26-507*x^25+924*x^24+442*x^23+899*x^22+909*x^21+1331*x^20+1386*x^19+2185*x\
^18+1918*x^17+3838*x^16+2183*x^15+7411*x^14+793*x^13+16212*x^12-7215*x^11+32\
11*x^10-1429*x^9+636*x^8-283*x^7+126*x^6-56*x^5+25*x^4-11*x^3+5*x^2-2*x+1
Common denominator of the automorphisms:
3773961

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