| 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 |
| 2.1.16.50h1.6 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.8 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T107) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.9 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.12 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 2$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.13 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.19 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 29, 45, 61]$ |
| 2.1.16.50h1.20 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 29, 45, 61]$ |
| 2.1.16.50h1.22 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 31, 47, 63]$ |
| 2.1.16.50h1.26 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T107) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 27, 43, 59]$ |
| 2.1.16.50h1.28 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 27, 43, 59]$ |
| 2.1.16.50h1.53 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.55 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T107) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.59 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.61 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 10$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.62 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.68 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.69 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.72 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.73 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T107) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.75 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.421 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.423 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T107) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.425 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.428 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 6$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.429 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.436 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T107) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.438 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.440 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 6$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.441 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.444 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.470 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.472 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T107) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.475 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.477 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 14$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 14$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.478 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.483 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T107) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.485 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.487 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 14$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 14$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.488 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2^2$ (as 16T111) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.490 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^3.C_2^3$ (as 16T120) |
$4$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{4}$ |
$[1,1,2,3]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
