| Label |
Packet size |
Polynomial |
Galois group |
Galois degree |
$\#\Aut(K/\Q_p)$ |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 3.1.21.39a1.1 |
|
$x^{21} + 3 x^{19} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.2 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.3 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.4 |
|
$x^{21} + 3 x^{19} + 9 x^{5} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.5 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{5} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.6 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 9 x^{5} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.7 |
|
$x^{21} + 3 x^{19} + 18 x^{5} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.8 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 18 x^{5} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.9 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 18 x^{5} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.10 |
|
$x^{21} + 3 x^{19} + 9 x^{4} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.11 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.12 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 9 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.13 |
|
$x^{21} + 3 x^{19} + 9 x^{5} + 9 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.14 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{5} + 9 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.15 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 9 x^{5} + 9 x^{4} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.16 |
|
$x^{21} + 3 x^{19} + 18 x^{5} + 9 x^{4} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.17 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 18 x^{5} + 9 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.18 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 18 x^{5} + 9 x^{4} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.19 |
|
$x^{21} + 3 x^{19} + 18 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.20 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 18 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.21 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 18 x^{4} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.22 |
|
$x^{21} + 3 x^{19} + 9 x^{5} + 18 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.23 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{5} + 18 x^{4} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.24 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 9 x^{5} + 18 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.25 |
|
$x^{21} + 3 x^{19} + 18 x^{5} + 18 x^{4} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.26 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 18 x^{5} + 18 x^{4} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.27 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 18 x^{5} + 18 x^{4} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.28 |
|
$x^{21} + 3 x^{19} + 9 x^{2} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.29 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.30 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.31 |
|
$x^{21} + 3 x^{19} + 9 x^{5} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.32 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{5} + 9 x^{2} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.33 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 9 x^{5} + 9 x^{2} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.34 |
|
$x^{21} + 3 x^{19} + 18 x^{5} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.35 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 18 x^{5} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.36 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 18 x^{5} + 9 x^{2} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.37 |
|
$x^{21} + 3 x^{19} + 9 x^{4} + 9 x^{2} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.38 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{4} + 9 x^{2} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.39 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 9 x^{4} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.40 |
|
$x^{21} + 3 x^{19} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.41 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.42 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.43 |
|
$x^{21} + 3 x^{19} + 18 x^{5} + 9 x^{4} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.44 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 18 x^{5} + 9 x^{4} + 9 x^{2} + 3$ |
$C_3^6:(C_2\times F_7)$ (as 21T92) |
$61236$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.45 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 18 x^{5} + 9 x^{4} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.46 |
|
$x^{21} + 3 x^{19} + 18 x^{4} + 9 x^{2} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.47 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 18 x^{4} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.48 |
|
$x^{21} + 3 x^{19} + 18 x^{7} + 18 x^{4} + 9 x^{2} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.49 |
|
$x^{21} + 3 x^{19} + 9 x^{5} + 18 x^{4} + 9 x^{2} + 3$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
| 3.1.21.39a1.50 |
|
$x^{21} + 3 x^{19} + 9 x^{7} + 9 x^{5} + 18 x^{4} + 9 x^{2} + 3$ |
$C_3^6.(S_3\times F_7)$ (as 21T107) |
$183708$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[19, 0]$ |
$[6, 1]$ |
$z^{18} + z^{15} + 2 z^9 + 2 z^6 + 1,z + 2$ |
undefined |
