Group GAP4(64,89)

Name: (C8 x C2 x C2) : C2
Maximal quotients:GAP4(32,22) GAP4(32,38)
Real polynomial:

x^64-612*x^62+156060*x^60-22406544*x^58+2060164431*x^56-130310037576*x^54+59\
31471268404*x^52-200310807850020*x^50+5129375516953857*x^48-1012223249668057\
68*x^46+1558573398756344232*x^44-18907000140902984856*x^42+18208225025395997\
5026*x^40-1400365576580416391808*x^38+8639809460385878694096*x^36-4290014955\
4770633428520*x^34+171783317673517374242190*x^32-555167854650266038806552*x^\
30+1447458684819460553250000*x^28-3039320534337812913659136*x^26+51235253699\
59052278310322*x^24-6901280703170973759163176*x^22+7379297322218947877891112\
*x^20-6209223305763886590511800*x^18+4064723302081959926267265*x^16-20393340\
52721453244073404*x^14+768749164230584980649844*x^12-21195939558715400602188\
0*x^10+41175481750990514874927*x^8-5337839217386103482736*x^6+42480103582708\
1892828*x^4-18017009059584057660*x^2+300283484326400961

Common denominator of the automorphisms:

262227172043673969301030614711698587311281552885392196043123681492895136256

Complex polynomial:

x^64+64*x^60+4400*x^56+63872*x^52+757616*x^48+4317440*x^44+19487040*x^40+500\
91520*x^36+101059680*x^32+100183040*x^28+77948160*x^24+34539520*x^20+1212185\
6*x^16+2043904*x^12+281600*x^8+8192*x^4+256

Common denominator of the automorphisms:

705454585937920

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