Group GAP4(64,17)

Name: (C8 x C2) : C4
Maximal quotients:GAP4(32,2) GAP4(32,3) GAP4(32,4) GAP4(32,5) GAP4(32,12)
Real polynomial:
x^64-256*x^62+31232*x^60-2416640*x^58+133156864*x^56-5560991744*x^54+1829374\
52544*x^52-4863660392448*x^50+106392570811747*x^48-1939568758622784*x^46+297\
40050384394880*x^44-386059318713079808*x^42+4261493509072221184*x^40-4010797\
1187563331584*x^38+322234608636139732992*x^36-2209536973977431310336*x^34+12\
911018355864671450307*x^32-64108331717048009384320*x^30+26934830890365959812\
4800*x^28-951976835973006967689216*x^26+2808766804912498838353920*x^24-68495\
43850960408910561280*x^22+13629279297288268635832320*x^20-217588379906783140\
88398848*x^18+27250609696700195401883489*x^16-25953333997478913821366336*x^1\
4+17968921550581723288041088*x^12-8432886878613511011391488*x^10+23774115320\
58338376684544*x^8-313849879320772042457088*x^6+9224587577613855555584*x^4-6\
775495481197854720*x^2+297944054235136
Common denominator of the automorphisms:
133873227329838335977845101164494848
Complex polynomial:
x^64+256*x^62+31232*x^60+2416640*x^58+133156864*x^56+5560991744*x^54+1829374\
52544*x^52+4863660392448*x^50+106392570811747*x^48+1939568758622784*x^46+297\
40050384394880*x^44+386059318713079808*x^42+4261493509072221184*x^40+4010797\
1187563331584*x^38+322234608636139732992*x^36+2209536973977431310336*x^34+12\
911018355864671450307*x^32+64108331717048009384320*x^30+26934830890365959812\
4800*x^28+951976835973006967689216*x^26+2808766804912498838353920*x^24+68495\
43850960408910561280*x^22+13629279297288268635832320*x^20+217588379906783140\
88398848*x^18+27250609696700195401883489*x^16+25953333997478913821366336*x^1\
4+17968921550581723288041088*x^12+8432886878613511011391488*x^10+23774115320\
58338376684544*x^8+313849879320772042457088*x^6+9224587577613855555584*x^4+6\
775495481197854720*x^2+297944054235136
Common denominator of the automorphisms:
133873227329838335977845101164494848

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.