Group GAP4(64,140)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,28) GAP4(32,39) GAP4(32,43)
Real polynomial:

x^64-288*x^62+38352*x^60-3144096*x^58+178209000*x^56-7434924768*x^54+2373133\
36464*x^52-5946388710624*x^50+119087702470620*x^48-1930742311218336*x^46+255\
74602657199184*x^44-278562813869217312*x^42+2505745493317266264*x^40-1866145\
7488359648096*x^38+115177966358975728272*x^36-588865007293735346784*x^34+248\
9513258213820336582*x^32-8676347271779934255456*x^30+24820172307330180709104\
*x^28-57955163184661406123232*x^26+109703818730926580185944*x^24-16697356604\
6896186098336*x^22+202397108098421174364720*x^20-193190203289266495123104*x^\
18+143253224736183695439324*x^16-81149182944218629525728*x^14+34370131758507\
659758320*x^12-10574754260756525495136*x^10+2268916506845839401192*x^8-31891\
9465804373890848*x^6+26353961658660697776*x^4-1012152281954349600*x^2+680700\
4895930625

Common denominator of the automorphisms:

3046459127108595292744591097668016937614966784000000

Complex polynomial:

x^64-186*x^56+14017*x^48-77562*x^40+181284*x^32-77562*x^24+14017*x^16-186*x^\
8+1

Common denominator of the automorphisms:

352285155072

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