| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 11.10.0.1 |
$10$ |
$x^{10} + 7 x^{5} + 8 x^{4} + 10 x^{3} + 6 x^{2} + 6 x + 2$ |
$11$ |
$1$ |
$10$ |
$0$ |
$C_{10}$ (as 10T1) |
$10$ |
$1$ |
$[\ ]$ |
$[\ ]^{10}$ |
$t^{10} + 7 t^{5} + 8 t^{4} + 10 t^{3} + 6 t^{2} + 6 t + 2$ |
$x - 11$ |
$[0]$ |
$[]$ |
| 11.10.5.1 |
$10$ |
$x^{10} - 13310 x^{4} - 1449459$ |
$11$ |
$2$ |
$5$ |
$5$ |
$C_{10}$ (as 10T1) |
$5$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{5}$ |
$t^{5} + 10 t^{2} + 9$ |
$x^{2} + 11 t$ |
$[0]$ |
$[1]$ |
| 11.10.5.2 |
$10$ |
$x^{10} + 55 x^{8} + 20 x^{7} + 1210 x^{6} - 202 x^{5} + 13410 x^{4} - 14080 x^{3} + 75585 x^{2} - 68970 x + 171252$ |
$11$ |
$2$ |
$5$ |
$5$ |
$C_{10}$ (as 10T1) |
$5$ |
$2$ |
$[\ ]$ |
$[\ ]_{2}^{5}$ |
$t^{5} + 10 t^{2} + 9$ |
$x^{2} + 11$ |
$[0]$ |
$[1]$ |
| 11.10.8.1 |
$10$ |
$x^{10} - 77 x^{5} + 242$ |
$11$ |
$5$ |
$2$ |
$8$ |
$C_{10}$ (as 10T1) |
$2$ |
$5$ |
$[\ ]$ |
$[\ ]_{5}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{5} + 11 t$ |
$[0]$ |
$[1]$ |
| 11.10.8.2 |
$10$ |
$x^{10} - 198 x^{5} - 10043$ |
$11$ |
$5$ |
$2$ |
$8$ |
$C_{10}$ (as 10T1) |
$2$ |
$5$ |
$[\ ]$ |
$[\ ]_{5}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{5} + 44 t + 55$ |
$[0]$ |
$[1]$ |
| 11.10.8.3 |
$10$ |
$x^{10} - 110 x^{5} - 16819$ |
$11$ |
$5$ |
$2$ |
$8$ |
$C_{10}$ (as 10T1) |
$2$ |
$5$ |
$[\ ]$ |
$[\ ]_{5}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{5} + 44 t + 99$ |
$[0]$ |
$[1]$ |
| 11.10.8.4 |
$10$ |
$x^{10} - 165 x^{5} - 4356$ |
$11$ |
$5$ |
$2$ |
$8$ |
$C_{10}$ (as 10T1) |
$2$ |
$5$ |
$[\ ]$ |
$[\ ]_{5}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{5} + 33 t + 33$ |
$[0]$ |
$[1]$ |
| 11.10.8.5 |
$10$ |
$x^{10} + 35 x^{9} + 500 x^{8} + 3710 x^{7} + 14985 x^{6} + 31389 x^{5} + 30355 x^{4} + 19790 x^{3} + 37110 x^{2} + 111495 x + 148840$ |
$11$ |
$5$ |
$2$ |
$8$ |
$C_{10}$ (as 10T1) |
$2$ |
$5$ |
$[\ ]$ |
$[\ ]_{5}^{2}$ |
$t^{2} + 7 t + 2$ |
$x^{5} + 11$ |
$[0]$ |
$[1]$ |
| 11.10.9.1 |
$10$ |
$x^{10} + 110$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 110$ |
$[0]$ |
$[1]$ |
| 11.10.9.10 |
$10$ |
$x^{10} + 99$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 99$ |
$[0]$ |
$[1]$ |
| 11.10.9.2 |
$10$ |
$x^{10} + 66$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 66$ |
$[0]$ |
$[1]$ |
| 11.10.9.3 |
$10$ |
$x^{10} + 77$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 77$ |
$[0]$ |
$[1]$ |
| 11.10.9.4 |
$10$ |
$x^{10} + 22$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 22$ |
$[0]$ |
$[1]$ |
| 11.10.9.5 |
$10$ |
$x^{10} + 88$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 88$ |
$[0]$ |
$[1]$ |
| 11.10.9.6 |
$10$ |
$x^{10} + 44$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 44$ |
$[0]$ |
$[1]$ |
| 11.10.9.7 |
$10$ |
$x^{10} + 11$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 11$ |
$[0]$ |
$[1]$ |
| 11.10.9.8 |
$10$ |
$x^{10} + 33$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 33$ |
$[0]$ |
$[1]$ |
| 11.10.9.9 |
$10$ |
$x^{10} + 55$ |
$11$ |
$10$ |
$1$ |
$9$ |
$C_{10}$ (as 10T1) |
$1$ |
$10$ |
$[\ ]$ |
$[\ ]_{10}$ |
$t + 9$ |
$x^{10} + 55$ |
$[0]$ |
$[1]$ |
