| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.21.1 |
$8$ |
$x^{8} + 14 x^{6} + 8 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 14 x^{6} + 8 x^{4} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.17 |
$8$ |
$x^{8} + 4 x^{7} + 14 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 14 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.18 |
$8$ |
$x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{3} + 8 x + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.19 |
$8$ |
$x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.2 |
$8$ |
$x^{8} + 10 x^{6} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 8 x^{2} + 8 x + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.20 |
$8$ |
$x^{8} + 4 x^{7} + 6 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 6 x^{6} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.21 |
$8$ |
$x^{8} + 2 x^{6} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.22 |
$8$ |
$x^{8} + 14 x^{6} + 8 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 14 x^{6} + 8 x^{4} + 8 x^{3} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.23 |
$8$ |
$x^{8} + 2 x^{6} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 8 x^{3} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.24 |
$8$ |
$x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.3 |
$8$ |
$x^{8} + 10 x^{6} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.33 |
$8$ |
$x^{8} + 14 x^{6} + 8 x^{3} + 8 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 14 x^{6} + 8 x^{3} + 8 x^{2} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.34 |
$8$ |
$x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 8 x^{5} + 8 x^{3} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.35 |
$8$ |
$x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 10 x^{6} + 8 x^{2} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.36 |
$8$ |
$x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.37 |
$8$ |
$x^{8} + 2 x^{6} + 8 x^{3} + 8 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 8 x^{3} + 8 x^{2} + 8 x + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.38 |
$8$ |
$x^{8} + 4 x^{7} + 6 x^{6} + 12 x^{4} + 12 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 6 x^{6} + 12 x^{4} + 12 x^{2} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.39 |
$8$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{2} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.4 |
$8$ |
$x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.40 |
$8$ |
$x^{8} + 2 x^{6} + 8 x^{3} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 8 x^{3} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.49 |
$8$ |
$x^{8} + 2 x^{6} + 8 x^{5} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 8 x^{5} + 8 x + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.5 |
$8$ |
$x^{8} + 2 x^{6} + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.50 |
$8$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{4} + 8 x^{3} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 8 x^{4} + 8 x^{3} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.51 |
$8$ |
$x^{8} + 2 x^{6} + 8 x^{5} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 8 x^{5} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.52 |
$8$ |
$x^{8} + 10 x^{6} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.53 |
$8$ |
$x^{8} + 10 x^{6} + 8 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 8 x^{2} + 8 x + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.54 |
$8$ |
$x^{8} + 14 x^{6} + 8 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 14 x^{6} + 8 x^{2} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.55 |
$8$ |
$x^{8} + 14 x^{6} + 4 x^{4} + 12 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 14 x^{6} + 4 x^{4} + 12 x^{2} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.56 |
$8$ |
$x^{8} + 2 x^{6} + 6$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 6$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.6 |
$8$ |
$x^{8} + 2 x^{6} + 8 x^{5} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 8 x^{5} + 8 x + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.7 |
$8$ |
$x^{8} + 14 x^{6} + 8 x^{4} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 14 x^{6} + 8 x^{4} + 8 x + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.21.8 |
$8$ |
$x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$21$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{6} + 8 x^{5} + 8 x^{4} + 8 x + 2$ |
$[14, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.24.100 |
$8$ |
$x^{8} + 10 x^{4} + 8 x^{3} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 8 x^{3} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.101 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.102 |
$8$ |
$x^{8} + 12 x^{6} + 10 x^{4} + 8 x^{3} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 10 x^{4} + 8 x^{3} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.103 |
$8$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 8 x^{3} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 8 x^{3} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.104 |
$8$ |
$x^{8} + 10 x^{4} + 8 x^{3} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 8 x^{3} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.105 |
$8$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 8 x^{3} + 8 x + 14$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 8 x^{3} + 8 x + 14$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.106 |
$8$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.107 |
$8$ |
$x^{8} + 12 x^{6} + 10 x^{4} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 10 x^{4} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.108 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 8 x + 14$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 8 x + 14$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.109 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.110 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.111 |
$8$ |
$x^{8} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.112 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.113 |
$8$ |
$x^{8} + 2 x^{4} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.114 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{2} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.115 |
$8$ |
$x^{8} + 12 x^{6} + 10 x^{4} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 10 x^{4} + 8 x + 10$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.116 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x + 14$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x + 14$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.117 |
$8$ |
$x^{8} + 10 x^{4} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
