Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.14.16.1 |
$14$ |
$x^{14} + 2 x^{6} + 2 x^{3} + 2$ |
$2$ |
$14$ |
$1$ |
$16$ |
$F_8:C_6$ (as 14T18) |
$6$ |
$7$ |
$[10/7]$ |
$[10/7, 10/7, 10/7]_{7}^{6}$ |
$t + 1$ |
$x^{14} + 2 x^{6} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[1, 3]$ |
2.14.16.2 |
$14$ |
$x^{14} + 2 x^{6} + 2 x^{4} + 2 x^{3} + 2$ |
$2$ |
$14$ |
$1$ |
$16$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$6$ |
$7$ |
$[10/7]$ |
$[8/7, 8/7, 8/7, 10/7, 10/7, 10/7]_{7}^{6}$ |
$t + 1$ |
$x^{14} + 2 x^{6} + 2 x^{4} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[1, 3]$ |
2.14.16.3 |
$14$ |
$x^{14} + 2 x^{4} + 2 x^{3} + 2$ |
$2$ |
$14$ |
$1$ |
$16$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$3$ |
$7$ |
$[10/7]$ |
$[8/7, 8/7, 8/7, 10/7, 10/7, 10/7]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{4} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[1, 3]$ |
2.14.16.4 |
$14$ |
$x^{14} + 2 x^{3} + 2$ |
$2$ |
$14$ |
$1$ |
$16$ |
$F_8:C_3$ (as 14T11) |
$3$ |
$7$ |
$[10/7]$ |
$[10/7, 10/7, 10/7]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[1, 3]$ |