Group GAP4(36,11)

Name: C3 x A4
Maximal quotients:GAP4(9,2) GAP4(12,3)
Real polynomial:

x^36-108*x^34+5346*x^32-160759*x^30+3281805*x^28-48148263*x^26+524262727*x^2\
4-4314356694*x^22+27075519351*x^20-129833324307*x^18+473745923586*x^16-13019\
58607050*x^14+2648744866791*x^12-3885119415306*x^10+3947137549929*x^8-260521\
8319449*x^6+994942582560*x^4-167748288768*x^2+2176782336

Common denominator of the automorphisms:

65571214307328

Complex polynomial:

x^36-12*x^35+78*x^34-436*x^33+2961*x^32-16920*x^31+75040*x^30-290952*x^29+10\
92204*x^28-3681352*x^27+10586952*x^26-26081016*x^25+55631500*x^24-103632984*\
x^23+170253408*x^22-248648968*x^21+324596598*x^20-380289792*x^19+400811476*x\
^18-380289792*x^17+324596598*x^16-248648968*x^15+170253408*x^14-103632984*x^\
13+55631500*x^12-26081016*x^11+10586952*x^10-3681352*x^9+1092204*x^8-290952*\
x^7+75040*x^6-16920*x^5+2961*x^4-436*x^3+78*x^2-12*x+1

Common denominator of the automorphisms:

154662939212993227288576

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