Select desired size of Galois group.
| 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 |
| 2.1.14.26a1.1 |
32 |
$x^{14} + 2 x^{13} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.2 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.3 |
32 |
$x^{14} + 2 x^{13} + 4 x^{11} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.4 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.5 |
32 |
$x^{14} + 2 x^{13} + 4 x^{9} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.6 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{9} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.7 |
32 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{9} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.8 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{9} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.9 |
32 |
$x^{14} + 2 x^{13} + 4 x^{7} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.10 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{7} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.11 |
32 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{7} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.12 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{7} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.13 |
32 |
$x^{14} + 2 x^{13} + 4 x^{9} + 4 x^{7} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.14 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{9} + 4 x^{7} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.15 |
32 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.16 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.17 |
16 |
$x^{14} + 2 x^{13} + 4 x^{5} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.18 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{5} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.19 |
16 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{5} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.20 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{5} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.21 |
16 |
$x^{14} + 2 x^{13} + 4 x^{9} + 4 x^{5} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.22 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{9} + 4 x^{5} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.23 |
16 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{9} + 4 x^{5} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.24 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{5} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.25 |
16 |
$x^{14} + 2 x^{13} + 4 x^{7} + 4 x^{5} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.26 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{7} + 4 x^{5} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.27 |
16 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{7} + 4 x^{5} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.28 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{5} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.29 |
16 |
$x^{14} + 2 x^{13} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.30 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.31 |
16 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.32 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{5} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.33 |
16 |
$x^{14} + 2 x^{13} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.34 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{3} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.35 |
16 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.36 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{3} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.37 |
16 |
$x^{14} + 2 x^{13} + 4 x^{9} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.38 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{9} + 4 x^{3} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.39 |
16 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{9} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.40 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{3} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.41 |
16 |
$x^{14} + 2 x^{13} + 4 x^{7} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.42 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{7} + 4 x^{3} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.43 |
16 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{7} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.44 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{7} + 4 x^{3} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.45 |
16 |
$x^{14} + 2 x^{13} + 4 x^{9} + 4 x^{7} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.46 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{9} + 4 x^{7} + 4 x^{3} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.47 |
16 |
$x^{14} + 2 x^{13} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{6}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{6}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{6}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.48 |
16 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{7} + 4 x^{3} + 2$ |
$C_2^3:F_8:C_3$ (as 14T35) |
$1344$ |
$2$ |
$[\frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.49 |
32 |
$x^{14} + 2 x^{13} + 4 x^{5} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
| 2.1.14.26a1.50 |
32 |
$x^{14} + 2 x^{13} + 4 x^{12} + 4 x^{5} + 4 x^{3} + 2$ |
$C_2\wr C_7:C_3$ (as 14T44) |
$2688$ |
$2$ |
$[2, \frac{18}{7}, \frac{18}{7}, \frac{18}{7}, \frac{20}{7}, \frac{20}{7}, \frac{20}{7}]_{7}^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7},\frac{13}{7}]_{7}^{3}$ |
$[2,\frac{18}{7},\frac{18}{7},\frac{18}{7},\frac{20}{7},\frac{20}{7}]^{3}$ |
$[1,\frac{11}{7},\frac{11}{7},\frac{11}{7},\frac{13}{7},\frac{13}{7}]^{3}$ |
$[13, 0]$ |
$[3, 1]$ |
$z^{12} + z^{10} + z^8 + z^6 + z^4 + z^2 + 1,z + 1$ |
$[7, 21]$ |
