| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.16.67 |
$8$ |
$x^{8} + 2 x^{6} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x + 2$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.68 |
$8$ |
$x^{8} + 2 x^{6} + 4 x + 6$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x + 6$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.69 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 2$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 2$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.16.70 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 6$ |
$2$ |
$8$ |
$1$ |
$16$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 5/2]$ |
$[2, 2, 5/2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{4} + 4 x + 6$ |
$[9, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.18.75 |
$8$ |
$x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$18$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[2, 2, 3]^{4}$ |
$t + 1$ |
$x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 10$ |
$[11, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.18.76 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ |
$2$ |
$8$ |
$1$ |
$18$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[2, 2, 3]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ |
$[11, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.18.77 |
$8$ |
$x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$18$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[2, 2, 3]^{4}$ |
$t + 1$ |
$x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 2$ |
$[11, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.18.78 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14$ |
$2$ |
$8$ |
$1$ |
$18$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[2, 2, 3]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 14$ |
$[11, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.100 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 14$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 14$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.101 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 6$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.102 |
$8$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 6$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.103 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.104 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.97 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x + 10$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.98 |
$8$ |
$x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 2$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.99 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 10$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.24.69 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 22$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 22$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.70 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{4}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 10$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.71 |
$8$ |
$x^{8} + 12 x^{6} + 14 x^{4} + 12 x^{2} + 8 x + 30$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{4}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 14 x^{4} + 12 x^{2} + 8 x + 30$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.72 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{4}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 18$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.73 |
$8$ |
$x^{8} + 4 x^{6} + 6 x^{4} + 12 x^{2} + 8 x + 30$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{4}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 6 x^{4} + 12 x^{2} + 8 x + 30$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.74 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.75 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{4}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.76 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$4$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]^{4}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 10$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.81 |
$8$ |
$x^{8} + 6 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 6 x^{4} + 12 x^{2} + 8 x + 10$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.82 |
$8$ |
$x^{8} + 8 x^{7} + 6 x^{4} + 12 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 6 x^{4} + 12 x^{2} + 8 x + 18$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.83 |
$8$ |
$x^{8} + 8 x^{7} + 6 x^{4} + 12 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 6 x^{4} + 12 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.84 |
$8$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 12 x^{2} + 8 x + 22$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 12 x^{2} + 8 x + 22$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.85 |
$8$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 12 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 12 x^{2} + 8 x + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.86 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.87 |
$8$ |
$x^{8} + 6 x^{4} + 12 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 6 x^{4} + 12 x^{2} + 8 x + 18$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.88 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 14$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\wr C_2$ (as 8T17) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 12 x^{2} + 8 x + 14$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.17 |
$8$ |
$x^{8} + 18 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 18 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.18 |
$8$ |
$x^{8} + 26 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 26 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.19 |
$8$ |
$x^{8} + 10 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.20 |
$8$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.21 |
$8$ |
$x^{8} + 2 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.22 |
$8$ |
$x^{8} + 26 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 26 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.23 |
$8$ |
$x^{8} + 8 x^{6} + 18 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 18 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.24 |
$8$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.25 |
$8$ |
$x^{8} + 10 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.26 |
$8$ |
$x^{8} + 8 x^{6} + 26 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 26 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.27 |
$8$ |
$x^{8} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.28 |
$8$ |
$x^{8} + 8 x^{6} + 26 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 26 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.29 |
$8$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.30 |
$8$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.31 |
$8$ |
$x^{8} + 18 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 18 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.32 |
$8$ |
$x^{8} + 8 x^{6} + 18 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 18 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.57 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 26 x^{4} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 26 x^{4} + 8 x^{2} + 18$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.27.58 |
$8$ |
$x^{8} + 8 x^{7} + 10 x^{4} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$27$ |
$C_4\wr C_2$ (as 8T17) |
$1$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 4, 9/2]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 10 x^{4} + 8 x^{2} + 18$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
