| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.14.20.1 |
$14$ |
$x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2$ |
$2$ |
$14$ |
$1$ |
$20$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[2]$ |
$[8/7, 8/7, 8/7, 12/7, 12/7, 12/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.10 |
$14$ |
$x^{14} + 2 x^{13} + 2 x^{10} + 2 x^{7} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$3$ |
$7$ |
$[2]$ |
$[2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{13} + 2 x^{10} + 2 x^{7} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.11 |
$14$ |
$x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{7} + 2 x^{6} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[2]$ |
$[8/7, 8/7, 8/7, 10/7, 10/7, 10/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{7} + 2 x^{6} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.12 |
$14$ |
$x^{14} + 2 x^{7} + 2 x^{6} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[2]$ |
$[8/7, 8/7, 8/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{7} + 2 x^{6} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.13 |
$14$ |
$x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{6} + 2$ |
$2$ |
$14$ |
$1$ |
$20$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[2]$ |
$[8/7, 8/7, 8/7, 12/7, 12/7, 12/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{6} + 2$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.14 |
$14$ |
$x^{14} + 2 x^{11} + 2 x^{7} + 2 x^{6} + 2$ |
$2$ |
$14$ |
$1$ |
$20$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[2]$ |
$[8/7, 8/7, 8/7, 10/7, 10/7, 10/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{11} + 2 x^{7} + 2 x^{6} + 2$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.15 |
$14$ |
$x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[2]$ |
$[8/7, 8/7, 8/7, 12/7, 12/7, 12/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.16 |
$14$ |
$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[2]$ |
$[12/7, 12/7, 12/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.2 |
$14$ |
$x^{14} + 2 x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[2]$ |
$[12/7, 12/7, 12/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{12} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.3 |
$14$ |
$x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$3$ |
$7$ |
$[2]$ |
$[8/7, 8/7, 8/7, 12/7, 12/7, 12/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{11} + 2 x^{10} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.4 |
$14$ |
$x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[2]$ |
$[12/7, 12/7, 12/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.5 |
$14$ |
$x^{14} + 2 x^{12} + 2 x^{10} + 2 x^{7} + 2 x^{6} + 2$ |
$2$ |
$14$ |
$1$ |
$20$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[2]$ |
$[8/7, 8/7, 8/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{12} + 2 x^{10} + 2 x^{7} + 2 x^{6} + 2$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.6 |
$14$ |
$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{8} + 2 x^{7} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[2]$ |
$[10/7, 10/7, 10/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{8} + 2 x^{7} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.7 |
$14$ |
$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 6$ |
$2$ |
$14$ |
$1$ |
$20$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[2]$ |
$[12/7, 12/7, 12/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{8} + 2 x^{7} + 6$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.8 |
$14$ |
$x^{14} + 2 x^{13} + 2 x^{10} + 2 x^{7} + 2$ |
$2$ |
$14$ |
$1$ |
$20$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$3$ |
$7$ |
$[2]$ |
$[2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{13} + 2 x^{10} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[1, 3]$ |
| 2.14.20.9 |
$14$ |
$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{7} + 2$ |
$2$ |
$14$ |
$1$ |
$20$ |
$F_8:C_6$ (as 14T18) |
$3$ |
$7$ |
$[2]$ |
$[10/7, 10/7, 10/7, 2]_{7}^{3}$ |
$t + 1$ |
$x^{14} + 2 x^{13} + 2 x^{12} + 2 x^{11} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[1, 3]$ |
