Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
2.1.16.64j1.65 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.66 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.67 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.68 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.81 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.82 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.83 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.84 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.109 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.110 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.111 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.112 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.125 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.126 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.127 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.128 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.141 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.142 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.143 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.144 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.157 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.158 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.159 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.160 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.165 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.166 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.167 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.168 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.181 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.182 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.183 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.184 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.325 |
$16$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.326 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.327 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.328 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.341 |
$16$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.342 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.343 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.344 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.361 |
$16$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.362 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.363 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.364 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.377 |
$16$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.378 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.379 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.380 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.393 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.394 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6.D_4$ (as 16T887) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |