| 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 |
| 2.11.2.22a1.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 ( x^{11} + x^{2} + 1 ) + 2$ |
$C_{22}$ (as 22T1) |
$22$ |
$22$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + t^{10}$ |
$[1, 2]$ |
| 2.11.2.22a1.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 ( x^{11} + x^{2} + 1 ) + 6$ |
$C_{22}$ (as 22T1) |
$22$ |
$22$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + t^{10}$ |
$[1, 4]$ |
| 2.11.2.22a2.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 x ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a2.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 x ( x^{11} + x^{2} + 1 ) + 4 x^{2} + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a3.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^3 + t)$ |
$[1, 3]$ |
| 2.11.2.22a3.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 6$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^3 + t)$ |
$[1, 3]$ |
| 2.11.2.22a4.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 x^{3} ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}:C_{11}$ (as 22T23) |
$11264$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^2)$ |
$[1, 3]$ |
| 2.11.2.22a4.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 x^{3} ( x^{11} + x^{2} + 1 ) + 4 x^{6} + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^4 + t^2)$ |
$[1, 3]$ |
| 2.11.2.22a5.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^4 + t^3 + t^2 + t)$ |
$[1, 3]$ |
| 2.11.2.22a5.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{3} + 2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 6$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^4 + t^3 + t^2 + t)$ |
$[1, 3]$ |
| 2.11.2.22a6.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{4} + 2 x\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^3 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a6.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{4} + 2 x\right) ( x^{11} + x^{2} + 1 ) + 4 x + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t^3 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a7.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{4} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^5 + t^3 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a7.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{4} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 6$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^5 + t^3 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a8.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{4} + 2 x^{2}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t)$ |
$[1, 3]$ |
| 2.11.2.22a8.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{4} + 2 x^{2}\right) ( x^{11} + x^{2} + 1 ) + 6$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^5 + t)$ |
$[1, 3]$ |
| 2.11.2.22a9.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 x^{5} ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^4)$ |
$[1, 3]$ |
| 2.11.2.22a9.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 x^{5} ( x^{11} + x^{2} + 1 ) + 4 x^{10} + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^4)$ |
$[1, 3]$ |
| 2.11.2.22a10.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{5} + 2 x\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^4 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a10.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{5} + 2 x\right) ( x^{11} + x^{2} + 1 ) + 6$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^4 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a11.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{5} + 2 x^{4} + 2 x^{2}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^5 + t^4 + t)$ |
$[1, 3]$ |
| 2.11.2.22a11.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{5} + 2 x^{4} + 2 x^{2}\right) ( x^{11} + x^{2} + 1 ) + 4 x^{4} + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^5 + t^4 + t)$ |
$[1, 3]$ |
| 2.11.2.22a12.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{5} + 2 x^{4} + 2 x^{3} + 2 x\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^5 + t^3 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a12.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{5} + 2 x^{4} + 2 x^{3} + 2 x\right) ( x^{11} + x^{2} + 1 ) + 6$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^6 + t^5 + t^3 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a13.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{2} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^5 + t^3 + t^2 + t + 1)$ |
$[1, 3]$ |
| 2.11.2.22a13.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{2} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 6$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^5 + t^3 + t^2 + t + 1)$ |
$[1, 3]$ |
| 2.11.2.22a14.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{3} + 2 x^{2}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^7 + t^5 + t^4 + t^3 + t^2 + t)$ |
$[1, 3]$ |
| 2.11.2.22a14.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{3} + 2 x^{2}\right) ( x^{11} + x^{2} + 1 ) + 4 x^{4} + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^7 + t^5 + t^4 + t^3 + t^2 + t)$ |
$[1, 3]$ |
| 2.11.2.22a15.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^5 + t^4 + t^3 + t + 1)$ |
$[1, 3]$ |
| 2.11.2.22a15.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{3} + 2 x^{2} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 4 x^{2} + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^5 + t^4 + t^3 + t + 1)$ |
$[1, 3]$ |
| 2.11.2.22a16.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^7 + t^3)$ |
$[1, 3]$ |
| 2.11.2.22a16.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{4}\right) ( x^{11} + x^{2} + 1 ) + 6$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^7 + t^3)$ |
$[1, 3]$ |
| 2.11.2.22a17.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^3 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a17.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 6$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^3 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a18.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t)$ |
$[1, 3]$ |
| 2.11.2.22a18.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 4 x^{3} + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t)$ |
$[1, 3]$ |
| 2.11.2.22a19.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^4 + t^2 + t)$ |
$[1, 3]$ |
| 2.11.2.22a19.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 6$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^4 + t^2 + t)$ |
$[1, 3]$ |
| 2.11.2.22a20.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^6 + t^5 + t^4)$ |
$[1, 3]$ |
| 2.11.2.22a20.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2\right) ( x^{11} + x^{2} + 1 ) + 4 x^{2} + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^6 + t^5 + t^4)$ |
$[1, 3]$ |
| 2.11.2.22a21.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2 x^{2} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^6 + t^5 + t^4 + t^3 + t^2 + t + 1)$ |
$[1, 3]$ |
| 2.11.2.22a21.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2 x^{2} + 2 x + 2\right) ( x^{11} + x^{2} + 1 ) + 6$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^7 + t^6 + t^5 + t^4 + t^3 + t^2 + t + 1)$ |
$[1, 3]$ |
| 2.11.2.22a22.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2 x^{4} + 2 x\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^7 + t^6 + t^4 + t^3 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a22.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{6} + 2 x^{5} + 2 x^{4} + 2 x\right) ( x^{11} + x^{2} + 1 ) + 6$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^7 + t^6 + t^4 + t^3 + t^2 + 1)$ |
$[1, 3]$ |
| 2.11.2.22a23.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 x^{7} ( x^{11} + x^{2} + 1 ) + 2$ |
$C_2^{10}:C_{11}$ (as 22T23) |
$11264$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^8 + t^6)$ |
$[1, 3]$ |
| 2.11.2.22a23.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + 2 x^{7} ( x^{11} + x^{2} + 1 ) + 4 x + 2$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^8 + t^6)$ |
$[1, 3]$ |
| 2.11.2.22a24.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{7} + 2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^8 + t^6 + t^3 + t)$ |
$[1, 3]$ |
| 2.11.2.22a24.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{7} + 2 x^{2} + 2\right) ( x^{11} + x^{2} + 1 ) + 6$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^{10} + t^8 + t^6 + t^3 + t)$ |
$[1, 3]$ |
| 2.11.2.22a25.1 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{7} + 2 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 2$ |
not computed |
$ $not computed$ $ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^8 + t^6 + t^4 + t^2)$ |
$[1, 3]$ |
| 2.11.2.22a25.2 |
|
$( x^{11} + x^{2} + 1 )^{2} + \left(2 x^{7} + 2 x^{3}\right) ( x^{11} + x^{2} + 1 ) + 6$ |
$C_2^{10}.C_{22}$ (as 22T28) |
$22528$ |
$2$ |
not computed |
not computed |
not computed |
not computed |
$[1, 0]$ |
$[1]$ |
$z + (t^8 + t^6 + t^4 + t^2)$ |
$[1, 3]$ |
