| 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 |
| 3.1.18.27a1.3 |
$18$ |
$x^{18} + 3 x^{10} + 6$ |
$3$ |
$1$ |
$18$ |
$27$ |
$F_9:C_2$ (as 18T73) |
not computed |
not computed |
$[\frac{13}{8}, \frac{13}{8}]$ |
$[\frac{5}{8},\frac{5}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{18} + 3 x^{10} + 6$ |
$[10, 10, 0]$ |
$[1, 1]$ |
$z^9 + 2,2 z^2 + 1$ |
undefined |
| 3.1.18.31a1.1 |
$18$ |
$x^{18} + 3 x^{14} + 3$ |
$3$ |
$1$ |
$18$ |
$31$ |
$F_9:C_2$ (as 18T73) |
not computed |
not computed |
$[\frac{15}{8}, \frac{15}{8}]$ |
$[\frac{7}{8},\frac{7}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{18} + 3 x^{14} + 3$ |
$[14, 14, 0]$ |
$[1, 1]$ |
$z^9 + 2,2 z^2 + 1$ |
$[1, 7, 23]$ |
| 3.1.18.31a1.7 |
$18$ |
$x^{18} + 6 x^{14} + 6$ |
$3$ |
$1$ |
$18$ |
$31$ |
$F_9:C_2$ (as 18T73) |
not computed |
not computed |
$[\frac{15}{8}, \frac{15}{8}]$ |
$[\frac{7}{8},\frac{7}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{18} + 6 x^{14} + 6$ |
$[14, 14, 0]$ |
$[1, 1]$ |
$z^9 + 2,2 z^2 + 1$ |
undefined |
| 3.1.18.31a1.9 |
$18$ |
$x^{18} + 6 x^{14} + 3 x^{12} + 6$ |
$3$ |
$1$ |
$18$ |
$31$ |
$F_9:C_2$ (as 18T73) |
not computed |
not computed |
$[\frac{15}{8}, \frac{15}{8}]$ |
$[\frac{7}{8},\frac{7}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{18} + 6 x^{14} + 3 x^{12} + 6$ |
$[14, 12, 0]$ |
$[1, 1]$ |
$z^9 + 2,2 z^2 + 1$ |
undefined |
| 3.1.18.39a1.1 |
$18$ |
$x^{18} + 9 x^{4} + 3$ |
$3$ |
$1$ |
$18$ |
$39$ |
$F_9:C_2$ (as 18T73) |
not computed |
not computed |
$[\frac{19}{8}, \frac{19}{8}]$ |
$[\frac{11}{8},\frac{11}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{18} + 9 x^{4} + 3$ |
$[22, 18, 0]$ |
$[1, 1]$ |
$z^9 + 2,2 z^2 + 1$ |
$[1, 7, 25]$ |
| 3.1.18.39a1.2 |
$18$ |
$x^{18} + 9 x^{6} + 9 x^{4} + 3$ |
$3$ |
$1$ |
$18$ |
$39$ |
$F_9:C_2$ (as 18T73) |
not computed |
not computed |
$[\frac{19}{8}, \frac{19}{8}]$ |
$[\frac{11}{8},\frac{11}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{18} + 9 x^{6} + 9 x^{4} + 3$ |
$[22, 18, 0]$ |
$[1, 1]$ |
$z^9 + 2,2 z^2 + 1$ |
$[1, 7, 25]$ |
| 3.1.18.39a1.18 |
$18$ |
$x^{18} + 18 x^{6} + 9 x^{4} + 6$ |
$3$ |
$1$ |
$18$ |
$39$ |
$F_9:C_2$ (as 18T73) |
not computed |
not computed |
$[\frac{19}{8}, \frac{19}{8}]$ |
$[\frac{11}{8},\frac{11}{8}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{18} + 18 x^{6} + 9 x^{4} + 6$ |
$[22, 18, 0]$ |
$[1, 1]$ |
$z^9 + 2,2 z^2 + 1$ |
undefined |
