| 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 |
| 7.3.7.39a1.1 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 7$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.2 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 49 x^{2} ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.3 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 98 x^{2} ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.4 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 196 x^{2} ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.5 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 49 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.6 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 49 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.7 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(147 x^{2} + 49 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.8 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 98 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.9 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 147 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.10 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 147 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.11 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(147 x^{2} + 147 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.12 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 196 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.13 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 245 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.14 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 245 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.15 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(196 x^{2} + 245 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.16 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 294 x ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.17 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(98 x^{2} + 294 x\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.18 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 49 ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_3\times F_7$ (as 21T9) |
$126$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.19 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.20 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(98 x^{2} + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.21 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(196 x^{2} + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.22 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.23 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 49 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.24 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(147 x^{2} + 49 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.25 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(98 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.26 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(147 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.27 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 147 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.28 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(147 x^{2} + 147 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.29 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(196 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.30 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(245 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.31 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 245 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.32 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(196 x^{2} + 245 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.33 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(294 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.34 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(98 x^{2} + 294 x + 49\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.35 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + 98 ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.36 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.37 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(98 x^{2} + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.38 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(196 x^{2} + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.39 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.40 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 49 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.41 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(147 x^{2} + 49 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.42 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(98 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.43 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(147 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.44 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 147 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.45 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(147 x^{2} + 147 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
$C_7:(C_3\times F_7)$ (as 21T24) |
$882$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.46 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(196 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.47 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(245 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.48 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(49 x^{2} + 245 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.49 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(196 x^{2} + 245 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
| 7.3.7.39a1.50 |
|
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(294 x + 98\right) ( x^{3} + 6 x^{2} + 4 ) + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[7, 0]$ |
$[1]$ |
$z + (3 t^2 + 6 t + 6)$ |
undefined |
