| 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 |
| 2.1.16.66h1.180 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.182 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.231 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.233 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.271 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.275 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.323 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.327 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.524 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.526 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.575 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.577 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.611 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.612 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.661 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.662 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.949 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.951 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1000 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1002 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1036 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1039 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1086 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1089 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1287 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1290 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1338 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1341 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1378 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1379 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1430 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,2,2,\frac{5}{2},3,4]^{2}$ |
$[2,3]^{2}$ |
$[1,2]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1431 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:D_4$ (as 16T216) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 2, 3, \frac{7}{2}, 4, 5]^{2}$ |
$[1,1,2,\frac{5}{2},3,4]^{2}$ |
$[2,2]^{2}$ |
$[1,1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
