| Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 7.3.7.24a33.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(21 x^{2} + 42 x + 14\right) ( x^{3} + 6 x^{2} + 4 )^{2} + 7$ |
$7$ |
$3$ |
$7$ |
$24$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 14 t + 21\right) x^{2} + 7$ |
$[2, 0]$ |
$[1]$ |
$z^2 + (t^2 + 3 t)$ |
undefined |
| 7.3.7.30a33.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(35 x^{2} + 21 x + 7\right) ( x^{3} + 6 x^{2} + 4 )^{4} + 7$ |
$7$ |
$3$ |
$7$ |
$30$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(21 t + 35\right) x^{4} + 7$ |
$[4, 0]$ |
$[1]$ |
$z^2 + (5 t^2 + 4 t + 2)$ |
undefined |
| 7.3.7.30a89.1 |
$21$ |
$( x^{3} + 6 x^{2} + 4 )^{7} + \left(28 x^{2} + 21\right) ( x^{3} + 6 x^{2} + 4 )^{4} + 7$ |
$7$ |
$3$ |
$7$ |
$30$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t^{3} + 6 t^{2} + 4$ |
$x^{7} + \left(28 t^{2} + 21\right) x^{4} + 7$ |
$[4, 0]$ |
$[1]$ |
$z^2 + (5 t^2 + 3 t + 5)$ |
undefined |
| 7.1.21.32a1.3 |
$21$ |
$x^{21} + 21 x^{13} + 28 x^{12} + 7$ |
$7$ |
$1$ |
$21$ |
$32$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{13} + 28 x^{12} + 7$ |
$[12, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 1$ |
undefined |
| 7.1.21.32a1.6 |
$21$ |
$x^{21} + 21 x^{13} + 7 x^{12} + 14$ |
$7$ |
$1$ |
$21$ |
$32$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{13} + 7 x^{12} + 14$ |
$[12, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 1$ |
undefined |
| 7.1.21.32a2.2 |
$21$ |
$x^{21} + 7 x^{13} + 7 x^{12} + 7$ |
$7$ |
$1$ |
$21$ |
$32$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 7 x^{13} + 7 x^{12} + 7$ |
$[12, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.32a2.3 |
$21$ |
$x^{21} + 21 x^{13} + 7 x^{12} + 7$ |
$7$ |
$1$ |
$21$ |
$32$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{13} + 7 x^{12} + 7$ |
$[12, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.32a2.5 |
$21$ |
$x^{21} + 7 x^{13} + 14 x^{12} + 14$ |
$7$ |
$1$ |
$21$ |
$32$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 7 x^{13} + 14 x^{12} + 14$ |
$[12, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.32a2.6 |
$21$ |
$x^{21} + 21 x^{13} + 14 x^{12} + 14$ |
$7$ |
$1$ |
$21$ |
$32$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{13} + 14 x^{12} + 14$ |
$[12, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.32a2.9 |
$21$ |
$x^{21} + 21 x^{13} + 21 x^{12} + 21$ |
$7$ |
$1$ |
$21$ |
$32$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[\frac{5}{3}]$ |
$[\frac{2}{3}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{13} + 21 x^{12} + 21$ |
$[12, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.38a1.3 |
$21$ |
$x^{21} + 21 x^{20} + 35 x^{18} + 7$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{20} + 35 x^{18} + 7$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 1$ |
undefined |
| 7.1.21.38a1.19 |
$21$ |
$x^{21} + 7 x^{20} + 21 x^{18} + 14$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 7 x^{20} + 21 x^{18} + 14$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 1$ |
undefined |
| 7.1.21.38a1.20 |
$21$ |
$x^{21} + 21 x^{20} + 21 x^{18} + 14$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{20} + 21 x^{18} + 14$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 1$ |
undefined |
| 7.1.21.38a1.45 |
$21$ |
$x^{21} + 21 x^{19} + 7 x^{18} + 21$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{19} + 7 x^{18} + 21$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 1$ |
undefined |
| 7.1.21.38a2.4 |
$21$ |
$x^{21} + 7 x^{19} + 21 x^{18} + 7$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 7 x^{19} + 21 x^{18} + 7$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.38a2.19 |
$21$ |
$x^{21} + 7 x^{20} + 42 x^{18} + 14$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 7 x^{20} + 42 x^{18} + 14$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.38a2.20 |
$21$ |
$x^{21} + 21 x^{20} + 42 x^{18} + 14$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{20} + 42 x^{18} + 14$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.38a2.21 |
$21$ |
$x^{21} + 7 x^{19} + 42 x^{18} + 14$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 7 x^{19} + 42 x^{18} + 14$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
| 7.1.21.38a2.28 |
$21$ |
$x^{21} + 21 x^{19} + 42 x^{18} + 14$ |
$7$ |
$1$ |
$21$ |
$38$ |
$C_7^2:C_3^2$ (as 21T21) |
not computed |
not computed |
$[2]$ |
$[1]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 4$ |
$x^{21} + 21 x^{19} + 42 x^{18} + 14$ |
$[18, 0]$ |
$[1, 3]$ |
$z^{14} + 3 z^7 + 3,3 z^6 + 2$ |
undefined |
