Group GAP4(64,66)

Name: (C2 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,23) GAP4(32,25) GAP4(32,27) GAP4(32,29) GAP4(32,30)
Real polynomial:
x^64-288*x^62+38160*x^60-3099168*x^58+173362176*x^56-7114186368*x^54+2226986\
34336*x^52-5458452981696*x^50+106686769456656*x^48-1684686216415104*x^46+216\
96215899488192*x^44-229406483901112704*x^42+2000543041073387520*x^40-1442783\
8162862332416*x^38+86157147163179494016*x^36-425944335842349384960*x^34+1740\
947847379612105824*x^32-5868185594603866080768*x^30+16254936927262468000512*\
x^28-36840811812752619431424*x^26+67969433674867521060864*x^24-1014932321942\
20825319424*x^22+121873157275759063368192*x^20-116826947753454207120384*x^18\
+88622438727008948633856*x^16-52618064793456800360448*x^14+24100416495868716\
020736*x^12-8348065092206833305600*x^10+2125791508869092966400*x^8-381439617\
920989028352*x^6+45047958271117129728*x^4-3091119570934198272*x^2+9134049704\
8617216
Common denominator of the automorphisms:
134412039548376261865668881463343434412769986148891174633472
Complex polynomial:
x^64-8*x^62+12*x^60+240*x^58-1983*x^56+12824*x^54-19036*x^52-375432*x^50+310\
4304*x^48-4656112*x^46+3440808*x^44-3222176*x^42+5028159*x^40-8786304*x^38+8\
864056*x^36-5950872*x^34+5352479*x^32-5950872*x^30+8864056*x^28-8786304*x^26\
+5028159*x^24-3222176*x^22+3440808*x^20-4656112*x^18+3104304*x^16-375432*x^1\
4-19036*x^12+12824*x^10-1983*x^8+240*x^6+12*x^4-8*x^2+1
Common denominator of the automorphisms:
177657749903810708664075

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