Group GAP4(64,139)

Name: (((C4 x C2) : C2) : C2) : C2
Maximal quotient:GAP4(32,27)
Real polynomial:

x^64-192*x^62+16488*x^60-842400*x^58+28732256*x^56-695854848*x^54+1242747986\
4*x^52-167810917536*x^50+1743168361276*x^48-14100826705344*x^46+895914087019\
92*x^44-449700145355808*x^42+1789491308652704*x^40-5653455409386240*x^38+141\
73353085176504*x^36-28130924332028448*x^34+44014159078251910*x^32-5394766729\
1781696*x^30+51367740895350648*x^28-37599457261678560*x^26+20892499843924640\
*x^24-8688007221140736*x^22+2662565206401000*x^20-591789366445536*x^18+93730\
170106684*x^16-10355776714560*x^14+776342127096*x^12-38076176736*x^10+116551\
2032*x^8-20916480*x^6+200232*x^4-864*x^2+1

Common denominator of the automorphisms:

82472792676054223879517754424110777164779889129684116654579070533632

Complex polynomial:

x^64+20*x^60+1782*x^56+7320*x^52+192033*x^48-266760*x^44-40602*x^40-610020*x\
^36+2759556*x^32-610020*x^28-40602*x^24-266760*x^20+192033*x^16+7320*x^12+17\
82*x^8+20*x^4+1

Common denominator of the automorphisms:

1452079665721147392

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