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 |
2.11.2.33a1.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2$ |
$C_{22}$ (as 22T1) |
$22$ |
$22$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + 10$ |
not computed |
$ $not computed$ $ |
$22$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.3 |
|
$( x^{11} + x^{2} + 1 )^{2} + 4 x^{9} ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.4 |
|
$( x^{11} + x^{2} + 1 )^{2} + 4 x^{9} ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.5 |
|
$( x^{11} + x^{2} + 1 )^{2} + 4 x^{5} ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.6 |
|
$( x^{11} + x^{2} + 1 )^{2} + 4 x^{5} ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.7 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{8} + 4 x^{5}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.8 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{8} + 4 x^{5}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.9 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.10 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.11 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.12 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.13 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.14 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.15 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{5} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.16 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{5} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.17 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.18 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.19 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.20 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.21 |
|
$( x^{11} + x^{2} + 1 )^{2} + 4 x^{3} ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.22 |
|
$( x^{11} + x^{2} + 1 )^{2} + 4 x^{3} ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.23 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{9} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.24 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{9} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.25 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.26 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.27 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{5} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.28 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{5} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.29 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{5} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.30 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{5} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.31 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.32 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{8} + 4 x^{7} + 4 x^{5} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.33 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.34 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.35 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.36 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.37 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.38 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.39 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.40 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.41 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.42 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.43 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{5} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.44 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{5} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.45 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.46 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.47 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.48 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{7} + 4 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.49 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{2}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |
2.11.2.33a1.50 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(4 x^{6} + 4 x^{5} + 4 x^{2}\right) ( x^{11} + x^{2} + 1 ) + 10$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[2, 0]$ |
$[1]$ |
$z + (t^9 + t^2 + 1)$ |
$[1, 3]$ |