Group GAP4(64,196)

Name: C2 x C4 x D8
Maximal quotients:GAP4(32,25) GAP4(32,45) GAP4(32,46) GAP4(32,48)
Real polynomial:

x^64-260*x^62+27392*x^60-1578720*x^58+56474055*x^56-1347114600*x^54+22443668\
208*x^52-269690188300*x^50+2392308054721*x^48-15938706001400*x^46+8080282928\
7440*x^44-314788593865720*x^42+949420655711138*x^40-2229152997303440*x^38+40\
90515376958960*x^36-5881960025748040*x^34+6637915383264686*x^32-588196002574\
8040*x^30+4090515376958960*x^28-2229152997303440*x^26+949420655711138*x^24-3\
14788593865720*x^22+80802829287440*x^20-15938706001400*x^18+2392308054721*x^\
16-269690188300*x^14+22443668208*x^12-1347114600*x^10+56474055*x^8-1578720*x\
^6+27392*x^4-260*x^2+1

Common denominator of the automorphisms:

173723903091902923574417440016472116769191542732021248

Complex polynomial:

x^64-x^56-15*x^48+31*x^40+209*x^32+496*x^24-3840*x^16-4096*x^8+65536

Common denominator of the automorphisms:

41091072

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