Group GAP4(64,218)

Name: (C2 x ((C4 x C2) : C2)) : C2
Maximal quotients:GAP4(32,46) GAP4(32,49) GAP4(32,50)
Real polynomial:

x^64-180*x^62+13860*x^60-608400*x^58+17169103*x^56-333077640*x^54+4637287404\
*x^52-47749937940*x^50+371804506081*x^48-2226506716680*x^46+10388577840984*x\
^44-38147726969880*x^42+111089102583634*x^40-257987917767840*x^38+4796626314\
11760*x^36-715648309129320*x^34+857633252965678*x^32-825236988913560*x^30+63\
6513512403312*x^28-392373212094240*x^26+192472904637010*x^24-74692666842600*\
x^22+22757409065304*x^20-5391030268920*x^18+980603057377*x^16-134751860940*x\
^14+13691846988*x^12-999060600*x^10+50239951*x^8-1638000*x^6+31428*x^4-300*x\
^2+1

Common denominator of the automorphisms:

59491012907232919000523978522545030129139758799616

Complex polynomial:

x^64+196*x^56+1066*x^48+10192*x^40+39091*x^32+10192*x^24+1066*x^16+196*x^8+1

Common denominator of the automorphisms:

909260352

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