Group GAP4(64,101)
Name: C2 x ((C4 x C4) : C2)
Maximal quotients:GAP4(32,11) GAP4(32,22)
Real polynomial:
x^64-192*x^62+15984*x^60-765792*x^58+23669324*x^56-501898560*x^54+7585449024\
*x^52-83875179360*x^50+691910904900*x^48-4326151363200*x^46+20783814026880*x\
^44-77667775444416*x^42+228274014307888*x^40-532920675620352*x^38+9967557738\
89664*x^36-1504396682990976*x^34+1842815907140672*x^32-1839937462162944*x^30\
+1501507281358080*x^28-1002734085242880*x^26+547777284364480*x^24-2442545642\
86464*x^22+88531119817728*x^20-25913827219968*x^18+6067942261824*x^16-112163\
5528704*x^14+160656623616*x^12-17369508864*x^10+1364431616*x^8-73469952*x^6+\
2463744*x^4-43008*x^2+256
Common denominator of the automorphisms:
760145715536615263303905779369960138792324981580660736
Complex polynomial:
x^64-638*x^48+133153*x^32+11296*x^16+256
Common denominator of the automorphisms:
14137888768
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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