Group GAP4(64,61)

Name: (C2 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,22) GAP4(32,23) GAP4(32,24) GAP4(32,28) GAP4(32,29)
Real polynomial:

x^64-128*x^62+7528*x^60-271200*x^58+6727076*x^56-122383328*x^54+1697959568*x\
^52-18439209840*x^50+159606083090*x^48-1115537774400*x^46+6354874568680*x^44\
-29703676415760*x^42+114439496840152*x^40-364451415470816*x^38+9607147726188\
56*x^36-2096309970498720*x^34+3781784364447387*x^32-5626906475684416*x^30+68\
80319210622856*x^28-6880583899913040*x^26+5593597778799240*x^24-366942266988\
8800*x^22+1925201130206280*x^20-799181639881760*x^18+259022756035426*x^16-64\
448471497088*x^14+12036259127328*x^12-1634425235120*x^10+153762733436*x^8-92\
43217088*x^6+303409688*x^4-3618800*x^2+625

Common denominator of the automorphisms:

200105366273792831991927279572232082697112702131540820352000

Complex polynomial:

x^64-2193*x^56+1398849*x^48+126726466*x^40+585101790*x^32+126726466*x^24+139\
8849*x^16-2193*x^8+1

Common denominator of the automorphisms:

2108510357910886590336

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