Group GAP4(64,51)
Name: C32 : C2
Maximal quotient:GAP4(32,16)
Real polynomial:
x^64-128*x^62+7808*x^60-302080*x^58+8322304*x^56-173780992*x^54+2858397696*x\
^52-37997346816*x^50+415595980800*x^48-3788220334080*x^46+29043022561280*x^4\
4-188505655869440*x^42+1040406216048640*x^40-4896029251993600*x^38+196680489\
38008576*x^36-67433310644600832*x^34+197031704539693056*x^32-489250189995933\
696*x^30+1028134457237831680*x^28-1818174619115323392*x^26+26859397782385459\
20*x^24-3283806772065730560*x^22+3283806772065730560*x^20-264654628501585920\
0*x^18+1687173256697610240*x^16-830608372528054272*x^14+306013610931388416*x\
^12-80868461747634176*x^10+14440796740648960*x^8-1593467226554368*x^6+937333\
66267904*x^4-2199023255552*x^2+13212123136
Common denominator of the automorphisms:
2736586752
Complex polynomial:
x^64+65536
Common denominator of the automorphisms:
65536
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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