Group GAP4(36,3)
Name: (C2 x C2) : C9
Maximal quotients:GAP4(9,1) GAP4(12,3)
Real polynomial:
x^36-220*x^34+19970*x^32-989504*x^30+30092995*x^28-600946916*x^26+8226417972\
*x^24-79423652378*x^22+551088371713*x^20-2779966867356*x^18+10250242710100*x\
^16-27608701586216*x^14+53933997322855*x^12-75238499221116*x^10+728995562263\
35*x^8-46752708359268*x^6+18179758774755*x^4-3566291807682*x^2+203724946881
Common denominator of the automorphisms:
2289405044278089896289531860338313592062090130285132862741102020462978230318\
700280551668802
Complex polynomial:
x^36+72*x^34+1800*x^32+19512*x^30+115596*x^28+471978*x^26+1638222*x^24+50925\
60*x^22+13471218*x^20+28902842*x^18+50773437*x^16+71380458*x^14+80182737*x^1\
2+68731578*x^10+44952840*x^8+20654658*x^6+7265457*x^4+1966194*x^2+239121
Common denominator of the automorphisms:
109222160947354075837709863725453064908624453454261981079505376358644254
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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