Group GAP4(64,123)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,25) GAP4(32,43)
Real polynomial:

x^64-192*x^62+17568*x^60-1019520*x^58+42131652*x^56-1319647392*x^54+32558775\
984*x^52-649212273216*x^50+10650987053226*x^48-145624395724704*x^46+16746114\
34677168*x^44-16302706682678208*x^42+134954355702542688*x^40-952481932766486\
784*x^38+5738206415963526144*x^36-29502359451714226176*x^34+1292533547095324\
28835*x^32-481179350931676056864*x^30+1515779458847564229360*x^28-4017646519\
978573554624*x^26+8894850646132711910304*x^24-16297922300519260424448*x^22+2\
4432323556315374721792*x^20-29542876342749481946112*x^18+2830860281924027602\
8858*x^16-21025852284930747208416*x^14+11769095088253599610896*x^12-47855741\
94312094529856*x^10+1344725203791259528308*x^8-243118811728009506528*x^6+254\
07895505406010128*x^4-1299263994437326272*x^2+21678263307630801

Common denominator of the automorphisms:

86915483380444378651200

Complex polynomial:

x^64-38*x^56+1443*x^48-54796*x^40+2080805*x^32-54796*x^24+1443*x^16-38*x^8+1

Common denominator of the automorphisms:

124848300

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