| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 11.14.0.1 |
$14$ |
$x^{14} + 2 x^{7} + 9 x^{6} + 6 x^{5} + 4 x^{4} + 8 x^{3} + 6 x^{2} + 10 x + 2$ |
$11$ |
$1$ |
$14$ |
$0$ |
$C_{14}$ (as 14T1) |
$14$ |
$1$ |
$[\ ]$ |
$[\ ]^{14}$ |
$t^{14} + 2 t^{7} + 9 t^{6} + 6 t^{5} + 4 t^{4} + 8 t^{3} + 6 t^{2} + 10 t + 2$ |
$x - 11$ |
$[0]$ |
$[]$ |
| 11.14.7.1 |
$14$ |
$x^{14} + 7086244 x^{2} - 175384539$ |
$11$ |
$2$ |
$7$ |
$7$ |
$C_{14}$ (as 14T1) |
$7$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{7}$ |
$t^{7} + 4 t + 9$ |
$x^{2} + 11 t$ |
$[0]$ |
$[1]$ |
| 11.14.7.2 |
$14$ |
$x^{14} + 77 x^{12} + 2541 x^{10} + 46593 x^{8} + 18 x^{7} + 511203 x^{6} - 4158 x^{5} + 3382071 x^{4} + 76230 x^{3} + 12550015 x^{2} - 167634 x + 19370300$ |
$11$ |
$2$ |
$7$ |
$7$ |
$C_{14}$ (as 14T1) |
$7$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{7}$ |
$t^{7} + 4 t + 9$ |
$x^{2} + 11$ |
$[0]$ |
$[1]$ |
| 11.14.12.1 |
$14$ |
$x^{14} + 49 x^{13} + 1043 x^{12} + 12593 x^{11} + 94409 x^{10} + 451927 x^{9} + 1369193 x^{8} + 2531313 x^{7} + 2738925 x^{6} + 1818103 x^{5} + 871157 x^{4} + 978033 x^{3} + 3155803 x^{2} + 6978181 x + 6677920$ |
$11$ |
$7$ |
$2$ |
$12$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$6$ |
$7$ |
$[\ ]$ |
$[\ ]_{7}^{6}$ |
$t^{2} + 7 t + 2$ |
$x^{7} + 11$ |
$[0]$ |
$[3]$ |
| 11.14.13.1 |
$14$ |
$x^{14} + 22$ |
$11$ |
$14$ |
$1$ |
$13$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$3$ |
$14$ |
$[\ ]$ |
$[\ ]_{14}^{3}$ |
$t + 9$ |
$x^{14} + 22$ |
$[0]$ |
$[3]$ |
| 11.14.13.2 |
$14$ |
$x^{14} + 11$ |
$11$ |
$14$ |
$1$ |
$13$ |
$(C_7:C_3) \times C_2$ (as 14T5) |
$3$ |
$14$ |
$[\ ]$ |
$[\ ]_{14}^{3}$ |
$t + 9$ |
$x^{14} + 11$ |
$[0]$ |
$[3]$ |
