Group GAP4(64,85)
Name: C4 x (C8 : C2)
Maximal quotients:GAP4(32,21) GAP4(32,37)
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+415595981296*x^48-3788220381696*x^46+29043024704000*x^4\
4-188505715929088*x^42+1040407391306752*x^40-4896046306902016*x^38+196682392\
49129472*x^36-67434981669076992*x^34+197043422599012608*x^32-489316425418686\
464*x^30+1028437746034622464*x^28-1819301337846644736*x^26+26893304170664755\
20*x^24-3292034117326602240*x^22+3299779701445754880*x^20-267107956760248320\
0*x^18+1716526513495076864*x^16-857407583013437440*x^14+324181296356392960*x\
^12-89688648685977600*x^10+17361548144803840*x^8-2209642608328704*x^6+168463\
695872000*x^4-6576635117568*x^2+94529191936
Common denominator of the automorphisms:
49350377472
Complex polynomial:
x^64-16*x^48+256*x^32-4096*x^16+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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