Group GAP4(64,20)

Name: (C4 x C4) : C4
Maximal quotients:GAP4(32,2) GAP4(32,11)
Real polynomial:
x^64-128*x^62+7544*x^60-272672*x^58+6790844*x^56-124113216*x^54+1730847840*x\
^52-18903124544*x^50+164616919806*x^48-1157715572288*x^46+6633959206656*x^44\
-31158041666880*x^42+120377097703372*x^40-383142838921024*x^38+1004370571336\
464*x^36-2164066304172544*x^34+3818436096188561*x^32-5487690129946688*x^30+6\
377518025176360*x^28-5938769322967072*x^26+4381404042993136*x^24-25259926559\
47136*x^22+1119322109634064*x^20-373703066607040*x^18+91770791379176*x^16-16\
098138508544*x^14+1945546006432*x^12-154776715392*x^10+7628359680*x^8-211617\
280*x^6+2761024*x^4-12032*x^2+16
Common denominator of the automorphisms:
177302905686045879312077793632147444808674290812807693312
Complex polynomial:
x^64-x^63+6*x^62-16*x^61+16*x^60-17*x^59+5*x^58+386*x^57-770*x^56+2570*x^55-\
1647*x^54+4669*x^53+5776*x^52-53912*x^51+99238*x^50-209131*x^49+730091*x^48-\
186309*x^47+997011*x^46-115562*x^45+16955*x^44+433313*x^43-992789*x^42+12128\
87*x^41-716498*x^40+1050003*x^39+1789261*x^38+1427*x^37+2931535*x^36-1650742\
*x^35+1011407*x^34-1223143*x^33+21915*x^32+1223143*x^31+1011407*x^30+1650742\
*x^29+2931535*x^28-1427*x^27+1789261*x^26-1050003*x^25-716498*x^24-1212887*x\
^23-992789*x^22-433313*x^21+16955*x^20+115562*x^19+997011*x^18+186309*x^17+7\
30091*x^16+209131*x^15+99238*x^14+53912*x^13+5776*x^12-4669*x^11-1647*x^10-2\
570*x^9-770*x^8-386*x^7+5*x^6+17*x^5+16*x^4+16*x^3+6*x^2+x+1
Common denominator of the automorphisms:
6596976979590136184739387614375

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