Group GAP4(64,105)

Name: (C4 : C8) : C2
Maximal quotients:GAP4(32,23) GAP4(32,38)
Real polynomial:

x^64-288*x^62+38688*x^60-3223296*x^58+186833520*x^56-8011821888*x^54+2639016\
92736*x^52-6844224024576*x^50+142151186202480*x^48-2392719118070400*x^46+329\
14213423549056*x^44-372164214462243840*x^42+3472065680709883968*x^40-2678490\
0555179952384*x^38+171001976657440409856*x^36-903155884964112494592*x^34+394\
0339819037216120928*x^32-14164465314160535754240*x^30+4179845008786154635008\
0*x^28-100757518834425360814080*x^26+197148448516724718153984*x^24-310581175\
736189321763840*x^22+389825175552102438755328*x^20-384518877052595990003712*\
x^18+292650401958115692402432*x^16-167586360683592576743424*x^14+69692724070\
296116115456*x^12-19993777484721651302400*x^10+3670565596571396791296*x^8-38\
9879446328499843072*x^6+22379386776492257280*x^4-628675879546847232*x^2+6516\
774906183936

Common denominator of the automorphisms:

36344382748883280877274828998017014482956880094032972042891351403003904

Complex polynomial:

x^64+4315396*x^48+6556905990*x^32+4315396*x^16+1

Common denominator of the automorphisms:

208270118850560

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