| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.12.35.207 |
$12$ |
$x^{12} + 4 x^{6} + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$S_3 \times C_4$ (as 12T11) |
$2$ |
$3$ |
$[3, 4]$ |
$[3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{6} + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.411 |
$12$ |
$x^{12} + 4 x^{6} + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$S_3 \times C_4$ (as 12T11) |
$2$ |
$3$ |
$[3, 4]$ |
$[3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{6} + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.448 |
$12$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 2$ |
$2$ |
$12$ |
$1$ |
$35$ |
$S_3 \times C_4$ (as 12T11) |
$2$ |
$3$ |
$[3, 4]$ |
$[3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 2$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.519 |
$12$ |
$x^{12} + 4 x^{6} + 10$ |
$2$ |
$12$ |
$1$ |
$35$ |
$S_3 \times C_4$ (as 12T11) |
$2$ |
$3$ |
$[3, 4]$ |
$[3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{6} + 10$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.553 |
$12$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 18$ |
$2$ |
$12$ |
$1$ |
$35$ |
$S_3 \times C_4$ (as 12T11) |
$2$ |
$3$ |
$[3, 4]$ |
$[3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 18$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.740 |
$12$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 10$ |
$2$ |
$12$ |
$1$ |
$35$ |
$S_3 \times C_4$ (as 12T11) |
$2$ |
$3$ |
$[3, 4]$ |
$[3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 10$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.766 |
$12$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$S_3 \times C_4$ (as 12T11) |
$2$ |
$3$ |
$[3, 4]$ |
$[3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 8 x^{9} + 4 x^{6} + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
| 2.12.35.951 |
$12$ |
$x^{12} + 4 x^{6} + 26$ |
$2$ |
$12$ |
$1$ |
$35$ |
$S_3 \times C_4$ (as 12T11) |
$2$ |
$3$ |
$[3, 4]$ |
$[3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{6} + 26$ |
$[24, 12, 0]$ |
$[1, 1, 2]$ |
