| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.16.21 |
$8$ |
$x^{8} + 12 x^{6} - 4 x^{5} + 56 x^{4} - 24 x^{3} + 136 x^{2} + 8 x + 148$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 6 x^{2} + 4 t x + 8 t + 14$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.22 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 12 x^{5} + 40 x^{3} + 40 x^{2} - 24 x + 36$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + 2 x^{2} + 4 t x + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.23 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 16 x^{4} + 8 x^{3} + 40 x^{2} + 72 x + 84$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 2 x^{2} + \left(4 t + 4\right) x + 8 t + 10$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.24 |
$8$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 44 x^{5} + 24 x^{4} - 8 x^{3} + 40 x^{2} - 8 x + 4$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + 6 x^{2} + 4 t x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.3 |
$8$ |
$x^{8} + 8 x^{7} + 40 x^{6} + 88 x^{5} + 136 x^{4} + 208 x^{2} - 48 x + 36$ |
$2$ |
$4$ |
$2$ |
$18$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(4 t + 14\right) x^{2} + 8 t x + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.5 |
$8$ |
$x^{8} + 4 x^{7} + 16 x^{6} + 72 x^{5} + 128 x^{4} + 40 x^{3} + 100$ |
$2$ |
$4$ |
$2$ |
$18$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(12 t + 6\right) x^{2} + 10$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.6 |
$8$ |
$x^{8} - 4 x^{7} + 28 x^{6} - 8 x^{5} + 32 x^{4} + 40 x^{3} + 232 x^{2} + 224 x + 196$ |
$2$ |
$4$ |
$2$ |
$18$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + 6 x^{2} + 8 x + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.8 |
$8$ |
$x^{8} - 4 x^{7} + 36 x^{6} + 8 x^{5} + 176 x^{4} - 56 x^{3} + 280 x^{2} + 196$ |
$2$ |
$4$ |
$2$ |
$18$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(8 t + 14\right) x^{2} + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.20.2 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 68 x^{4} + 80 x^{3} + 100$ |
$2$ |
$4$ |
$2$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(8 t + 4\right) x^{2} + 10$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.4 |
$8$ |
$x^{8} + 8 x^{7} + 32 x^{6} + 64 x^{5} + 140 x^{4} + 112 x^{3} + 224 x^{2} + 196$ |
$2$ |
$4$ |
$2$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(8 t + 12\right) x^{2} + 14$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.53 |
$8$ |
$x^{8} + 4 x^{5} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{5} + 2 x^{4} + 2$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.54 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 14$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 14$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.55 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 2$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.56 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 10$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.57 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 6$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.58 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 14$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 14$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.59 |
$8$ |
$x^{8} + 4 x^{5} + 2 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{5} + 2 x^{4} + 10$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.6 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 16 x^{5} + 116 x^{4} + 16 x^{3} + 64 x^{2} + 32 x + 4$ |
$2$ |
$4$ |
$2$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(8 t + 4\right) x^{2} + 8 x + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.60 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 6$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.7 |
$8$ |
$x^{8} + 8 x^{7} + 16 x^{6} + 8 x^{5} + 108 x^{4} + 208 x^{3} + 64 x^{2} + 112 x + 196$ |
$2$ |
$4$ |
$2$ |
$20$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(8 t + 4\right) x^{2} + \left(8 t + 8\right) x + 14$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.10 |
$8$ |
$x^{8} - 8 x^{7} + 88 x^{6} - 96 x^{5} + 204 x^{4} - 240 x^{3} + 720 x^{2} + 900$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 t x^{3} + 12 x^{2} + 30$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.100 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.22.11 |
$8$ |
$x^{8} + 16 x^{7} + 72 x^{6} + 80 x^{5} + 212 x^{4} + 224 x^{3} + 144 x^{2} + 160 x + 100$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(8 t + 8\right) x^{2} + 8 x + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.12 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 52 x^{4} + 64 x^{3} + 208 x^{2} + 288 x + 516$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{2} + 8 x + 16 t + 26$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.13 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 108 x^{4} + 64 x^{3} + 240 x^{2} + 352 x + 484$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(8 t + 8\right) x^{2} + 8 x + 22$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.15 |
$8$ |
$x^{8} + 16 x^{7} + 72 x^{6} + 80 x^{5} + 132 x^{4} - 32 x^{3} + 16 x^{2} - 96 x + 228$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 16 t + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.17 |
$8$ |
$x^{8} - 8 x^{7} + 88 x^{6} - 96 x^{5} + 132 x^{4} + 240 x^{3} - 144 x^{2} + 228$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 t x^{3} + 12 x^{2} + 16 t + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.18 |
$8$ |
$x^{8} + 4 x^{6} - 8 x^{5} + 32 x^{4} + 32 x^{3} + 120 x^{2} - 16 x + 76$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 4 t + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.20 |
$8$ |
$x^{8} + 16 x^{7} + 60 x^{6} - 40 x^{5} + 48 x^{4} + 160 x^{3} + 424 x^{2} + 240 x + 300$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(12 t + 4\right) x^{2} + 8 t x + 20 t + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.91 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 6 x^{4} + 4 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 6 x^{4} + 4 x^{2} + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.22.92 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 10$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.22.94 |
$8$ |
$x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 8 x + 14$ |
$2$ |
$8$ |
$1$ |
$22$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 7/2]$ |
$[2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{4} + 4 x^{2} + 8 x + 14$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.18 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.19 |
$8$ |
$x^{8} + 10 x^{4} + 12 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 12 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.20 |
$8$ |
$x^{8} + 4 x^{6} + 14 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 14 x^{4} + 12 x^{2} + 8 x + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.23 |
$8$ |
$x^{8} + 8 x^{7} + 14 x^{4} + 4 x^{2} + 8 x + 22$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 14 x^{4} + 4 x^{2} + 8 x + 22$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.24 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.25 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.28 |
$8$ |
$x^{8} + 12 x^{6} + 6 x^{4} + 4 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 6 x^{4} + 4 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.29 |
$8$ |
$x^{8} + 8 x^{7} + 14 x^{4} + 12 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 14 x^{4} + 12 x^{2} + 8 x + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.30 |
$8$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 12 x^{2} + 8 x + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.31 |
$8$ |
$x^{8} + 14 x^{4} + 4 x^{2} + 8 x + 30$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 14 x^{4} + 4 x^{2} + 8 x + 30$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.32 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 6 x^{4} + 4 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 6 x^{4} + 4 x^{2} + 8 x + 18$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.33 |
$8$ |
$x^{8} + 14 x^{4} + 12 x^{2} + 8 x + 30$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 14 x^{4} + 12 x^{2} + 8 x + 30$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.34 |
$8$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 18$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.35 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 22$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 22$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.36 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 14 x^{4} + 12 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 14 x^{4} + 12 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.40 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 30$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8:C_2$ (as 8T11) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 30$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
