| 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 |
| 7.3.7.33a1.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 28 ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (6 t^2 + 4 t + 2)$ |
undefined |
| 7.3.7.33a2.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 7 ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (5 t^2 + t + 4)$ |
undefined |
| 7.3.7.33a3.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 35 ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
$C_3\times F_7$ (as 21T9) |
$126$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (4 t^2 + 5 t + 6)$ |
undefined |
| 7.3.7.33a4.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 14 ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t + 1)$ |
undefined |
| 7.3.7.33a5.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 42 ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (2 t^2 + 6 t + 3)$ |
undefined |
| 7.3.7.33a6.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 21 ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (t^2 + 3 t + 5)$ |
undefined |
| 7.3.7.33a7.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 28 x ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t + 4)$ |
undefined |
| 7.3.7.33a8.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x + 28\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (2 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.33a9.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x + 7\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (t^2 + 3 t + 1)$ |
undefined |
| 7.3.7.33a10.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x + 35\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + 3$ |
undefined |
| 7.3.7.33a11.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 7 x ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (6 t^2 + 4 t + 1)$ |
undefined |
| 7.3.7.33a12.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x + 35\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t)$ |
undefined |
| 7.3.7.33a13.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x + 14\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (2 t^2 + 6 t + 2)$ |
undefined |
| 7.3.7.33a14.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x + 21\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + 6$ |
undefined |
| 7.3.7.33a15.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 35 x ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (2 t^2 + 6 t + 5)$ |
undefined |
| 7.3.7.33a16.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x + 7\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + 2$ |
undefined |
| 7.3.7.33a17.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x + 42\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (4 t^2 + 5 t + 1)$ |
undefined |
| 7.3.7.33a18.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x + 21\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t + 3)$ |
undefined |
| 7.3.7.33a19.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 14 x ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (5 t^2 + t + 2)$ |
undefined |
| 7.3.7.33a20.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 42 x ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (t^2 + 3 t + 6)$ |
undefined |
| 7.3.7.33a21.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x + 35\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (5 t^2 + t + 5)$ |
undefined |
| 7.3.7.33a22.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(42 x + 42\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t^2 + 2 t + 2)$ |
undefined |
| 7.3.7.33a23.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 21 x ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (4 t^2 + 5 t + 3)$ |
undefined |
| 7.3.7.33a24.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(21 x + 14\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + 4$ |
undefined |
| 7.3.7.33a25.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(21 x + 42\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (6 t^2 + 4 t + 6)$ |
undefined |
| 7.3.7.33a26.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 28 x^{2} ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (5 t^2 + 4 t + 2)$ |
undefined |
| 7.3.7.33a27.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 28\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (4 t^2 + t + 4)$ |
undefined |
| 7.3.7.33a28.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 7\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t^2 + 5 t + 6)$ |
undefined |
| 7.3.7.33a29.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 35\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (2 t^2 + 2 t + 1)$ |
undefined |
| 7.3.7.33a30.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 21\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + 6 t^2$ |
undefined |
| 7.3.7.33a31.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 28 x + 35\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (5 t^2 + 4 t + 5)$ |
undefined |
| 7.3.7.33a32.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 7 x\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (4 t^2 + t + 3)$ |
undefined |
| 7.3.7.33a33.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 7 x + 35\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (t^2 + 6 t + 2)$ |
undefined |
| 7.3.7.33a34.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 35 x\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + 3 t$ |
undefined |
| 7.3.7.33a35.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 35 x + 35\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (4 t^2 + t + 6)$ |
undefined |
| 7.3.7.33a36.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 14 x + 28\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (2 t^2 + 2 t + 6)$ |
undefined |
| 7.3.7.33a37.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 14 x + 14\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (6 t^2 + 5)$ |
undefined |
| 7.3.7.33a38.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 42 x + 14\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (2 t^2 + 2 t + 2)$ |
undefined |
| 7.3.7.33a39.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 42 x + 21\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t + 6)$ |
undefined |
| 7.3.7.33a40.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 21 x + 7\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t + 2)$ |
undefined |
| 7.3.7.33a41.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 21 x + 35\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (6 t^2 + 4)$ |
undefined |
| 7.3.7.33a42.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 7 x^{2} ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t^2 + t + 4)$ |
undefined |
| 7.3.7.33a43.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x^{2} + 7\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (t^2 + 2 t + 1)$ |
undefined |
| 7.3.7.33a44.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x^{2} + 14\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (6 t^2 + 3 t + 5)$ |
undefined |
| 7.3.7.33a45.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x^{2} + 21\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (4 t^2 + 4 t + 2)$ |
undefined |
| 7.3.7.33a46.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x^{2} + 7 x + 28\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (t^2 + 2 t)$ |
undefined |
| 7.3.7.33a47.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x^{2} + 7 x + 7\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (6 t + 2)$ |
undefined |
| 7.3.7.33a48.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x^{2} + 7 x + 14\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (5 t^2 + 6)$ |
undefined |
| 7.3.7.33a49.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x^{2} + 7 x + 21\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (3 t^2 + t + 3)$ |
undefined |
| 7.3.7.33a50.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(7 x^{2} + 35 x\right) ( x^{3} + 6 x^{2} + 4 )^{5} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[5, 0]$ |
$[1]$ |
$z + (5 t^2 + 2)$ |
undefined |
