| 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 |
| 7.1.21.35a3.1 |
|
$x^{21} + 21 x^{15} + 7$ |
$F_7$ (as 21T4) |
$42$ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.2 |
|
$x^{21} + 7 x^{17} + 21 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.3 |
|
$x^{21} + 21 x^{17} + 21 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.4 |
|
$x^{21} + 7 x^{16} + 21 x^{15} + 7$ |
$C_7:F_7$ (as 21T16) |
$294$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.5 |
|
$x^{21} + 7 x^{17} + 7 x^{16} + 21 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.6 |
|
$x^{21} + 14 x^{17} + 7 x^{16} + 21 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.7 |
|
$x^{21} + 21 x^{17} + 7 x^{16} + 21 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.8 |
|
$x^{21} + 28 x^{17} + 7 x^{16} + 21 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.9 |
|
$x^{21} + 35 x^{17} + 7 x^{16} + 21 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.10 |
|
$x^{21} + 42 x^{17} + 7 x^{16} + 21 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.11 |
|
$x^{21} + 21 x^{16} + 21 x^{15} + 7$ |
$C_7:F_7$ (as 21T16) |
$294$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.12 |
|
$x^{21} + 7 x^{17} + 21 x^{16} + 21 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.13 |
|
$x^{21} + 14 x^{17} + 21 x^{16} + 21 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.14 |
|
$x^{21} + 21 x^{17} + 21 x^{16} + 21 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.15 |
|
$x^{21} + 28 x^{17} + 21 x^{16} + 21 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.16 |
|
$x^{21} + 35 x^{17} + 21 x^{16} + 21 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.17 |
|
$x^{21} + 42 x^{17} + 21 x^{16} + 21 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 4$ |
undefined |
| 7.1.21.35a3.18 |
|
$x^{21} + 28 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.19 |
|
$x^{21} + 7 x^{17} + 28 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.20 |
|
$x^{21} + 21 x^{17} + 28 x^{15} + 7$ |
$C_7:F_7$ (as 21T19) |
$294$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.21 |
|
$x^{21} + 7 x^{16} + 28 x^{15} + 7$ |
$C_7:F_7$ (as 21T16) |
$294$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.22 |
|
$x^{21} + 7 x^{17} + 7 x^{16} + 28 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.23 |
|
$x^{21} + 14 x^{17} + 7 x^{16} + 28 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.24 |
|
$x^{21} + 21 x^{17} + 7 x^{16} + 28 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.25 |
|
$x^{21} + 28 x^{17} + 7 x^{16} + 28 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.26 |
|
$x^{21} + 35 x^{17} + 7 x^{16} + 28 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.27 |
|
$x^{21} + 42 x^{17} + 7 x^{16} + 28 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.28 |
|
$x^{21} + 21 x^{16} + 28 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.29 |
|
$x^{21} + 7 x^{17} + 21 x^{16} + 28 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.30 |
|
$x^{21} + 14 x^{17} + 21 x^{16} + 28 x^{15} + 7$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.31 |
|
$x^{21} + 21 x^{17} + 21 x^{16} + 28 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.32 |
|
$x^{21} + 28 x^{17} + 21 x^{16} + 28 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.33 |
|
$x^{21} + 35 x^{17} + 21 x^{16} + 28 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.34 |
|
$x^{21} + 42 x^{17} + 21 x^{16} + 28 x^{15} + 7$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.35 |
|
$x^{21} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$3$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.36 |
|
$x^{21} + 7 x^{17} + 7 x^{15} + 14$ |
$C_7:F_7$ (as 21T19) |
$294$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.37 |
|
$x^{21} + 21 x^{17} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.38 |
|
$x^{21} + 7 x^{16} + 7 x^{15} + 14$ |
$C_7:F_7$ (as 21T16) |
$294$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.39 |
|
$x^{21} + 7 x^{17} + 7 x^{16} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.40 |
|
$x^{21} + 14 x^{17} + 7 x^{16} + 7 x^{15} + 14$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.41 |
|
$x^{21} + 21 x^{17} + 7 x^{16} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.42 |
|
$x^{21} + 28 x^{17} + 7 x^{16} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.43 |
|
$x^{21} + 35 x^{17} + 7 x^{16} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.44 |
|
$x^{21} + 42 x^{17} + 7 x^{16} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.45 |
|
$x^{21} + 21 x^{16} + 7 x^{15} + 14$ |
$C_7:F_7$ (as 21T16) |
$294$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.46 |
|
$x^{21} + 7 x^{17} + 21 x^{16} + 7 x^{15} + 14$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.47 |
|
$x^{21} + 14 x^{17} + 21 x^{16} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.48 |
|
$x^{21} + 21 x^{17} + 21 x^{16} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.49 |
|
$x^{21} + 28 x^{17} + 21 x^{16} + 7 x^{15} + 14$ |
$C_7^3:C_6$ (as 21T31) |
$2058$ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
| 7.1.21.35a3.50 |
|
$x^{21} + 35 x^{17} + 21 x^{16} + 7 x^{15} + 14$ |
not computed |
$ $not computed$ $ |
$1$ |
not computed |
not computed |
not computed |
not computed |
$[15, 0]$ |
$[1, 1]$ |
$z^{14} + 3 z^7 + 3,3 z^3 + 3$ |
undefined |
