Group GAP4(64,4)

Name: ((C8 x C2) : C2) : C2
Maximal quotients:GAP4(32,5) GAP4(32,6) GAP4(32,7)
Real polynomial:
x^64-176*x^62+14224*x^60-703168*x^58+23897712*x^56-594916832*x^54+1128494672\
0*x^52-167496292224*x^50+1981842089968*x^48-18945915219904*x^46+147760609029\
952*x^44-946682843285248*x^42+5006195650884160*x^40-21914818691236224*x^38+7\
9521645071988352*x^36-239181443444798976*x^34+595472496871390816*x^32-122380\
7664816214272*x^30+2067845252265011968*x^28-2856807946307634176*x^26+3204058\
555125276928*x^24-2890979333970377216*x^22+2074690228117542400*x^20-11670822\
66129229824*x^18+504945788143619840*x^16-163779480227714048*x^14+38409663134\
333952*x^12-6169754784550912*x^10+621722355661824*x^8-33486152763392*x^6+675\
591780352*x^4-1320230912*x^2+614656
Common denominator of the automorphisms:
924652634392977516864085199526752652353694674642577058268881182785536
Complex polynomial:
x^64-1296*x^56+1801328*x^48+29676096*x^40+1544627296*x^32+118704384*x^24+288\
21248*x^16-82944*x^8+256
Common denominator of the automorphisms:
14064545525923840

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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