Group GAP4(64,97)

Name: (C8 x C2 x C2) : C2
Maximal quotients:GAP4(32,22) GAP4(32,42)
Real polynomial:

x^64-240*x^62+25920*x^60-1684800*x^58+74380300*x^56-2384778000*x^54+57938814\
000*x^52-1098201810000*x^50+16584791405000*x^48-202693050600000*x^46+2028644\
771250000*x^44-16777328488500000*x^42+115436586639250000*x^40-66410983457250\
0000*x^38+3205644352556250000*x^36-13009940579025000000*x^34+444289927884359\
37500*x^32-127611026959500000000*x^30+307736356129125000000*x^28-62111807343\
3750000000*x^26+1044319969813437500000*x^24-1453189038853125000000*x^22+1658\
940936689062500000*x^20-1535688853031250000000*x^18+1135029948382812500000*x\
^16-655911129375000000000*x^14+287849572500000000000*x^12-919517601562500000\
00*x^10+20010049414062500000*x^8-2639460937500000000*x^6+162767578125000000*\
x^4-1347656250000000*x^2+2441406250000

Common denominator of the automorphisms:

83787065844412340846168870722603887451434533654970703125000000

Complex polynomial:

x^64+1008*x^56-179332*x^48+15833616*x^40+38178310*x^32+15833616*x^24-179332*\
x^16+1008*x^8+1

Common denominator of the automorphisms:

11099195433011200

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