| 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 |
| 2.1.18.18a1.1 |
$18$ |
$x^{18} + 2 x + 2$ |
$2$ |
$1$ |
$18$ |
$18$ |
$C_2^6:C_9:C_6$ (as 18T433) |
$6$ |
$9$ |
$[\frac{10}{9}]$ |
$[\frac{1}{9}]$ |
$[\frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}]_{9}^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9}]_{9}^{6}$ |
$[\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9}]^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x + 2$ |
$[1, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 19]$ |
| 2.1.18.18a1.2 |
$18$ |
$x^{18} + 2 x^{2} + 2 x + 2$ |
$2$ |
$1$ |
$18$ |
$18$ |
$C_2^6:C_9:C_6$ (as 18T434) |
$6$ |
$9$ |
$[\frac{10}{9}]$ |
$[\frac{1}{9}]$ |
$[\frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}]_{9}^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9}]_{9}^{6}$ |
$[\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9}]^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{2} + 2 x + 2$ |
$[1, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 19]$ |
| 2.1.18.20a1.1 |
$18$ |
$x^{18} + 2 x^{3} + 2$ |
$2$ |
$1$ |
$18$ |
$20$ |
$C_3^2.S_4$ (as 18T98) |
$6$ |
$9$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3}]_{9}^{6}$ |
$[\frac{4}{3}]^{6}$ |
$[\frac{1}{3}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 21]$ |
| 2.1.18.20a1.2 |
$18$ |
$x^{18} + 2 x^{6} + 2 x^{3} + 2$ |
$2$ |
$1$ |
$18$ |
$20$ |
$C_3^2.S_4$ (as 18T101) |
$6$ |
$9$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3}]_{9}^{6}$ |
$[\frac{4}{3}]^{6}$ |
$[\frac{1}{3}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{6} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 21]$ |
| 2.1.18.20a1.3 |
$18$ |
$x^{18} + 2 x^{5} + 2 x^{3} + 2$ |
$2$ |
$1$ |
$18$ |
$20$ |
$C_2^2:A_4^2.S_4$ (as 18T592) |
$6$ |
$9$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{4}{3}, \frac{4}{3}]_{9}^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{3},\frac{1}{3}]_{9}^{6}$ |
$[\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{4}{3}]^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{3}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{5} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 21]$ |
| 2.1.18.20a1.4 |
$18$ |
$x^{18} + 2 x^{6} + 2 x^{5} + 2 x^{3} + 2$ |
$2$ |
$1$ |
$18$ |
$20$ |
$C_2^2:A_4^2.S_4$ (as 18T588) |
$6$ |
$9$ |
$[\frac{4}{3}]$ |
$[\frac{1}{3}]$ |
$[\frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{4}{3}, \frac{4}{3}]_{9}^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{3},\frac{1}{3}]_{9}^{6}$ |
$[\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{4}{3}]^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{3}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{6} + 2 x^{5} + 2 x^{3} + 2$ |
$[3, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 21]$ |
| 2.1.18.22a1.1 |
$18$ |
$x^{18} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$18$ |
$22$ |
$C_2^6:C_9:C_6$ (as 18T433) |
$6$ |
$9$ |
$[\frac{14}{9}]$ |
$[\frac{5}{9}]$ |
$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}]_{9}^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]_{9}^{6}$ |
$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 23]$ |
| 2.1.18.22a1.2 |
$18$ |
$x^{18} + 2 x^{10} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$18$ |
$22$ |
$C_2^6:C_9:C_6$ (as 18T434) |
$6$ |
$9$ |
$[\frac{14}{9}]$ |
$[\frac{5}{9}]$ |
$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}]_{9}^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]_{9}^{6}$ |
$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{10} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 23]$ |
| 2.1.18.22a1.3 |
$18$ |
$x^{18} + 2 x^{9} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$18$ |
$22$ |
$C_2^6:C_9:C_6$ (as 18T433) |
$6$ |
$9$ |
$[\frac{14}{9}]$ |
$[\frac{5}{9}]$ |
$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}]_{9}^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]_{9}^{6}$ |
$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{9} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 23]$ |
| 2.1.18.22a1.4 |
$18$ |
$x^{18} + 2 x^{10} + 2 x^{9} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$18$ |
$22$ |
$C_2^6:C_9:C_6$ (as 18T434) |
$6$ |
$9$ |
$[\frac{14}{9}]$ |
$[\frac{5}{9}]$ |
$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}]_{9}^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]_{9}^{6}$ |
$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{10} + 2 x^{9} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 23]$ |
| 2.1.18.22a1.5 |
$18$ |
$x^{18} + 2 x^{7} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$18$ |
$22$ |
$C_2^2:A_4^2.S_4$ (as 18T588) |
$6$ |
$9$ |
$[\frac{14}{9}]$ |
$[\frac{5}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{7} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 23]$ |
| 2.1.18.22a1.6 |
$18$ |
$x^{18} + 2 x^{10} + 2 x^{7} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$18$ |
$22$ |
$C_2^2:A_4^2.S_4$ (as 18T592) |
$6$ |
$9$ |
$[\frac{14}{9}]$ |
$[\frac{5}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{10} + 2 x^{7} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 23]$ |
| 2.1.18.22a1.7 |
$18$ |
$x^{18} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$18$ |
$22$ |
$C_2^2:A_4^2.S_4$ (as 18T588) |
$6$ |
$9$ |
$[\frac{14}{9}]$ |
$[\frac{5}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 23]$ |
| 2.1.18.22a1.8 |
$18$ |
$x^{18} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$18$ |
$22$ |
$C_2^2:A_4^2.S_4$ (as 18T592) |
$6$ |
$9$ |
$[\frac{14}{9}]$ |
$[\frac{5}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{10} + 2 x^{9} + 2 x^{7} + 2 x^{5} + 2$ |
$[5, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 23]$ |
| 2.1.18.24a1.1 |
$18$ |
$x^{18} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^6:C_9:C_6$ (as 18T434) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.2 |
$18$ |
$x^{18} + 2 x^{14} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^6:C_9:C_6$ (as 18T433) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{14} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.3 |
$18$ |
$x^{18} + 2 x^{13} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^6:C_9:C_6$ (as 18T434) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{13} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.4 |
$18$ |
$x^{18} + 2 x^{14} + 2 x^{13} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^6:C_9:C_6$ (as 18T433) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{14} + 2 x^{13} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.5 |
$18$ |
$x^{18} + 2 x^{11} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^2:A_4^2.S_4$ (as 18T592) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{11} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.6 |
$18$ |
$x^{18} + 2 x^{14} + 2 x^{11} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^2:A_4^2.S_4$ (as 18T588) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{14} + 2 x^{11} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.7 |
$18$ |
$x^{18} + 2 x^{13} + 2 x^{11} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^2:A_4^2.S_4$ (as 18T592) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{13} + 2 x^{11} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.8 |
$18$ |
$x^{18} + 2 x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^2:A_4^2.S_4$ (as 18T588) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.9 |
$18$ |
$x^{18} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^2:A_4^2.S_4$ (as 18T592) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.10 |
$18$ |
$x^{18} + 2 x^{14} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^2:A_4^2.S_4$ (as 18T588) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{14} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.11 |
$18$ |
$x^{18} + 2 x^{13} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^2:A_4^2.S_4$ (as 18T592) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{13} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.12 |
$18$ |
$x^{18} + 2 x^{14} + 2 x^{13} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^2:A_4^2.S_4$ (as 18T588) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{14} + 2 x^{13} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.13 |
$18$ |
$x^{18} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^6:C_9:C_6$ (as 18T434) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.14 |
$18$ |
$x^{18} + 2 x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^6:C_9:C_6$ (as 18T433) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{14} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.15 |
$18$ |
$x^{18} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^6:C_9:C_6$ (as 18T434) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.24a1.16 |
$18$ |
$x^{18} + 2 x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$18$ |
$24$ |
$C_2^6:C_9:C_6$ (as 18T433) |
$6$ |
$9$ |
$[\frac{16}{9}]$ |
$[\frac{7}{9}]$ |
$[\frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}]_{9}^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]_{9}^{6}$ |
$[\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{14} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2$ |
$[7, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 25]$ |
| 2.1.18.26a1.1 |
$18$ |
$x^{18} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_{18}:C_6$ (as 18T45) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[2]_{9}^{6}$ |
$[1]_{9}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 18]$ |
| 2.1.18.26a1.2 |
$18$ |
$x^{18} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_{18}:C_6$ (as 18T45) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[2]_{9}^{6}$ |
$[1]_{9}^{6}$ |
$[\ ]^{6}$ |
$[\ ]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 36]$ |
| 2.1.18.26a1.3 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2^6:C_{18}:C_6$ (as 18T512) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, 2]_{9}^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},1]_{9}^{6}$ |
$[\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9}]^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 35]$ |
| 2.1.18.26a1.4 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2^6:C_{18}:C_6$ (as 18T512) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, 2]_{9}^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},1]_{9}^{6}$ |
$[\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9}]^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 35]$ |
| 2.1.18.26a1.5 |
$18$ |
$x^{18} + 2 x^{15} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_6^2.D_6$ (as 18T147) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3}]^{6}$ |
$[\frac{1}{3},\frac{1}{3}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{15} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 33]$ |
| 2.1.18.26a1.6 |
$18$ |
$x^{18} + 2 x^{15} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_6^2.D_6$ (as 18T147) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3}]^{6}$ |
$[\frac{1}{3},\frac{1}{3}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{15} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 33]$ |
| 2.1.18.26a1.7 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{15} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{4}{3}, \frac{4}{3}, 2]_{9}^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{3},\frac{1}{3},1]_{9}^{6}$ |
$[\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{4}{3},\frac{4}{3}]^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{3},\frac{1}{3}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{15} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 33]$ |
| 2.1.18.26a1.8 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{15} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{10}{9}, \frac{4}{3}, \frac{4}{3}, 2]_{9}^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{3},\frac{1}{3},1]_{9}^{6}$ |
$[\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{10}{9},\frac{4}{3},\frac{4}{3}]^{6}$ |
$[\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{9},\frac{1}{3},\frac{1}{3}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{15} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 33]$ |
| 2.1.18.26a1.9 |
$18$ |
$x^{18} + 2 x^{13} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2^6:C_{18}:C_6$ (as 18T512) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 2]_{9}^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},1]_{9}^{6}$ |
$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{13} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 31]$ |
| 2.1.18.26a1.10 |
$18$ |
$x^{18} + 2 x^{13} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2^6:C_{18}:C_6$ (as 18T512) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 2]_{9}^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},1]_{9}^{6}$ |
$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{13} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 31]$ |
| 2.1.18.26a1.11 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{13} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2^6:C_{18}:C_6$ (as 18T512) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 2]_{9}^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},1]_{9}^{6}$ |
$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{13} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 31]$ |
| 2.1.18.26a1.12 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{13} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2^6:C_{18}:C_6$ (as 18T512) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 2]_{9}^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},1]_{9}^{6}$ |
$[\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{13} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 31]$ |
| 2.1.18.26a1.13 |
$18$ |
$x^{18} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 31]$ |
| 2.1.18.26a1.14 |
$18$ |
$x^{18} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 31]$ |
| 2.1.18.26a1.15 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 31]$ |
| 2.1.18.26a1.16 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, \frac{14}{9}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9},\frac{14}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9},\frac{5}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 31]$ |
| 2.1.18.26a1.17 |
$18$ |
$x^{18} + 2 x^{11} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{11} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 29]$ |
| 2.1.18.26a1.18 |
$18$ |
$x^{18} + 2 x^{11} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{11} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 29]$ |
| 2.1.18.26a1.19 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{11} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{11} + 2 x^{9} + 2$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 29]$ |
| 2.1.18.26a1.20 |
$18$ |
$x^{18} + 2 x^{17} + 2 x^{11} + 2 x^{9} + 6$ |
$2$ |
$1$ |
$18$ |
$26$ |
$C_2\wr C_9.C_6$ (as 18T656) |
$6$ |
$9$ |
$[2]$ |
$[1]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, \frac{16}{9}, 2]_{9}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},1]_{9}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9},\frac{16}{9}]^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9},\frac{7}{9}]^{6}$ |
$2$ |
$t + 1$ |
$x^{18} + 2 x^{17} + 2 x^{11} + 2 x^{9} + 6$ |
$[9, 0]$ |
$[6, 1]$ |
$z^{16} + z^{14} + 1,z + 1$ |
$[9, 29]$ |
