| 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 |
| 2.1.16.48o2.9 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.10 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.11 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.12 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.13 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.14 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.15 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.16 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.25 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.26 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.27 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.28 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.29 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.30 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.31 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.32 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 2$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 13, 29, 45]$ |
| 2.1.16.48o2.41 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.42 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.43 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.44 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.45 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.46 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.47 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.48 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.57 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.58 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.59 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.60 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.61 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.62 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.63 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.48o2.64 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2\wr C_6$ (as 16T719) |
$3$ |
$1$ |
$[2, 3, 3, \frac{7}{2}]$ |
$[1,2,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, 3, 3, \frac{7}{2}]^{3}$ |
$[1,1,1,2,2,2,\frac{5}{2}]^{3}$ |
$[2,2,3]^{3}$ |
$[1,1,2]^{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 4 x^{10} + 10 x^{8} + 8 x^{7} + 8 x^{5} + 4 x^{4} + 8 x + 6$ |
$[33, 26, 20, 8, 0]$ |
$[1, 3, 1]$ |
$z^8 + 1,z^6 + z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
