| 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 |
| 2.1.16.50h1.5 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2$ (as 16T30) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.7 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2\times D_8$ (as 16T29) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.10 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4:D_4$ (as 16T43) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 2$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.11 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4:D_4$ (as 16T43) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.14 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$Q_{16}:C_2$ (as 16T32) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 23, 39, 55]$ |
| 2.1.16.50h1.21 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T44) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 29, 45, 61]$ |
| 2.1.16.50h1.23 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4 \times D_4$ (as 16T19) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 24]$ |
| 2.1.16.50h1.24 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4 \times D_4$ (as 16T19) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 32, 48, 64]$ |
| 2.1.16.50h1.25 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T38) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 27, 43, 59]$ |
| 2.1.16.50h1.27 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4:D_4$ (as 16T34) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 18$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 27, 43, 59]$ |
| 2.1.16.50h1.54 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2$ (as 16T30) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.56 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2\times D_8$ (as 16T29) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.57 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4:D_4$ (as 16T43) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 10$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.58 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4:D_4$ (as 16T43) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.60 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$Q_{16}:C_2$ (as 16T32) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.67 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T44) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.70 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4 \times D_4$ (as 16T19) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.71 |
$16$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4 \times D_4$ (as 16T19) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.74 |
$16$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T38) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.76 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4:D_4$ (as 16T34) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 26$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 32, 48]$ |
| 2.1.16.50h1.422 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4:D_4$ (as 16T34) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.424 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T38) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.426 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4 \times D_4$ (as 16T19) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 6$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.427 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4 \times D_4$ (as 16T19) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.430 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T44) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.435 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2\times \SD_{16}$ (as 16T48) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.437 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2$ (as 16T51) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.439 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T45) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.442 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^2:Q_8$ (as 16T31) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 6$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.443 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^2:Q_8$ (as 16T31) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 22$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.469 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4:D_4$ (as 16T34) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.471 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T38) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.473 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 14$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4 \times D_4$ (as 16T19) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 14$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.474 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4 \times D_4$ (as 16T19) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.476 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T44) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.484 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2\times \SD_{16}$ (as 16T48) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.486 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_4^2:C_2$ (as 16T51) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.489 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$D_8:C_2$ (as 16T45) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.491 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 14$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^2:Q_8$ (as 16T31) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 14$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50h1.492 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^2:Q_8$ (as 16T31) |
$2$ |
$1$ |
$[2, 2, 3, 4]$ |
$[1,1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 2 x^{12} + 8 x^{11} + 8 x^{9} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 30$ |
$[35, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
