| 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 |
| 3.1.9.22a1.1 |
$9$ |
$x^{9} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$D_{9}$ (as 9T3) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 3]^{2}$ |
$[1,2]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$1$ |
$t + 1$ |
$x^{9} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a1.2 |
$9$ |
$x^{9} + 9 x^{8} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$(C_9:C_3):C_2$ (as 9T10) |
$6$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 3]^{6}$ |
$[1,2]^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$1$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a1.3 |
$9$ |
$x^{9} + 18 x^{8} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$(C_9:C_3):C_2$ (as 9T10) |
$6$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 3]^{6}$ |
$[1,2]^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$1$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a1.4 |
$9$ |
$x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$(C_9:C_3):C_2$ (as 9T10) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{2}$ |
$[1,1,2]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$1$ |
$t + 1$ |
$x^{9} + 9 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a1.5 |
$9$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$(C_9:C_3):C_2$ (as 9T10) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{2}$ |
$[1,1,2]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$1$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a1.6 |
$9$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$(C_9:C_3):C_2$ (as 9T10) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{2}$ |
$[1,1,2]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$1$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a1.7 |
$9$ |
$x^{9} + 18 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$(C_9:C_3):C_2$ (as 9T10) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{2}$ |
$[1,1,2]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$1$ |
$t + 1$ |
$x^{9} + 18 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a1.8 |
$9$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$(C_9:C_3):C_2$ (as 9T10) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{2}$ |
$[1,1,2]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$1$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a1.9 |
$9$ |
$x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$(C_9:C_3):C_2$ (as 9T10) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{2}$ |
$[1,1,2]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$1$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 2]$ |
$z^6 + 1,z^2 + 1$ |
undefined |
| 3.1.9.22a2.1 |
$9$ |
$x^{9} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.2 |
$9$ |
$x^{9} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.3 |
$9$ |
$x^{9} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.4 |
$9$ |
$x^{9} + 9 x^{8} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.5 |
$9$ |
$x^{9} + 9 x^{8} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.6 |
$9$ |
$x^{9} + 9 x^{8} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.7 |
$9$ |
$x^{9} + 18 x^{8} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.8 |
$9$ |
$x^{9} + 18 x^{8} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.9 |
$9$ |
$x^{9} + 18 x^{8} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.10 |
$9$ |
$x^{9} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.11 |
$9$ |
$x^{9} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.12 |
$9$ |
$x^{9} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.13 |
$9$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.14 |
$9$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.15 |
$9$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.16 |
$9$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.17 |
$9$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.18 |
$9$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.19 |
$9$ |
$x^{9} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.20 |
$9$ |
$x^{9} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.21 |
$9$ |
$x^{9} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.22 |
$9$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.23 |
$9$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.24 |
$9$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.25 |
$9$ |
$x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 3$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.26 |
$9$ |
$x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 30$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a2.27 |
$9$ |
$x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr S_3 $ (as 9T20) |
$2$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, \frac{7}{3}, 3]^{2}$ |
$[1,1,\frac{4}{3},2]^{2}$ |
$[2,\frac{7}{3}]^{2}$ |
$[1,\frac{4}{3}]^{2}$ |
$3$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 18 x^{7} + 3 x^{6} + 9 x^{5} + 57$ |
$[14, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z^2 + 2$ |
undefined |
| 3.1.9.22a3.1 |
$9$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 30$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.2 |
$9$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 57$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.3 |
$9$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.4 |
$9$ |
$x^{9} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_9:C_3$ (as 9T6) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 3]^{3}$ |
$[1,2]^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 30$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.5 |
$9$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_9:C_3$ (as 9T6) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 3]^{3}$ |
$[1,2]^{3}$ |
$[\ ]^{3}$ |
$[\ ]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 30$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.6 |
$9$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_9$ (as 9T1) |
$1$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 3]$ |
$[1,2]$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.7 |
$9$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_9$ (as 9T1) |
$1$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 3]$ |
$[1,2]$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 30$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.8 |
$9$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_9$ (as 9T1) |
$1$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 3]$ |
$[1,2]$ |
$[\ ]$ |
$[\ ]$ |
$9$ |
$t + 1$ |
$x^{9} + 18 x^{8} + 9 x^{7} + 6 x^{6} + 18 x^{5} + 57$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.9 |
$9$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 6 x^{6} + 18 x^{5} + 30$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 6 x^{6} + 18 x^{5} + 30$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.10 |
$9$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 6 x^{6} + 18 x^{5} + 57$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 6 x^{6} + 18 x^{5} + 57$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.11 |
$9$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 6 x^{6} + 18 x^{5} + 3$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 18 x^{7} + 6 x^{6} + 18 x^{5} + 3$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.12 |
$9$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 12$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 12$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.13 |
$9$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 39$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 39$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
| 3.1.9.22a3.14 |
$9$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 66$ |
$3$ |
$1$ |
$9$ |
$22$ |
$C_3 \wr C_3 $ (as 9T17) |
$3$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{3}$ |
$[1,1,2]^{3}$ |
$[2]^{3}$ |
$[1]^{3}$ |
$3$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 6 x^{6} + 18 x^{5} + 66$ |
$[14, 6, 0]$ |
$[1, 1]$ |
$z^6 + 2,2 z^2 + 1$ |
undefined |
