| 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 |
| 103.1.21.20a1.1 |
3 |
$x^{21} + 103$ |
$C_3\times F_7$ (as 21T9) |
$126$ |
$3$ |
$[\ ]_{21}^{6}$ |
$[\ ]_{21}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[0]$ |
$[6]$ |
$z^{20} + 21 z^{19} + 4 z^{18} + 94 z^{17} + 11 z^{16} + 58 z^{15} + 86 z^{14} + 96 z^{13} + 65 z^{12} + 71 z^{11} + 44 z^{10} + 44 z^9 + 71 z^8 + 65 z^7 + 96 z^6 + 86 z^5 + 58 z^4 + 11 z^3 + 94 z^2 + 4 z + 21$ |
undefined |
| 103.1.21.20a1.2 |
3 |
$x^{21} + 515$ |
$C_3\times F_7$ (as 21T9) |
$126$ |
$3$ |
$[\ ]_{21}^{6}$ |
$[\ ]_{21}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[0]$ |
$[6]$ |
$z^{20} + 21 z^{19} + 4 z^{18} + 94 z^{17} + 11 z^{16} + 58 z^{15} + 86 z^{14} + 96 z^{13} + 65 z^{12} + 71 z^{11} + 44 z^{10} + 44 z^9 + 71 z^8 + 65 z^7 + 96 z^6 + 86 z^5 + 58 z^4 + 11 z^3 + 94 z^2 + 4 z + 21$ |
undefined |
| 103.1.21.20a1.3 |
3 |
$x^{21} + 2575$ |
$C_3\times F_7$ (as 21T9) |
$126$ |
$3$ |
$[\ ]_{21}^{6}$ |
$[\ ]_{21}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$[0]$ |
$[6]$ |
$z^{20} + 21 z^{19} + 4 z^{18} + 94 z^{17} + 11 z^{16} + 58 z^{15} + 86 z^{14} + 96 z^{13} + 65 z^{12} + 71 z^{11} + 44 z^{10} + 44 z^9 + 71 z^8 + 65 z^7 + 96 z^6 + 86 z^5 + 58 z^4 + 11 z^3 + 94 z^2 + 4 z + 21$ |
undefined |
