| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.24.1 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 14 x^{4} + 4 x^{2} + 8 x + 22$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\times C_2$ (as 8T2) |
$1$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 14 x^{4} + 4 x^{2} + 8 x + 22$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.10 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\times C_2$ (as 8T2) |
$1$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 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) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.11 |
$8$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 4 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\times C_2$ (as 8T2) |
$1$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 4 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 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) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 8 x + 2$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.118 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.119 |
$8$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 8 x + 10$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.12 |
$8$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 14$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Q_8$ (as 8T5) |
$1$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 14$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.120 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 7/2, 15/4]$ |
$[2, 2, 3, 7/2, 7/2, 15/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 6$ |
$[17, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.121 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.122 |
$8$ |
$x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 12 x^{2} + 8 x + 26$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.123 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.124 |
$8$ |
$x^{8} + 4 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{2} + 8 x + 18$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.125 |
$8$ |
$x^{8} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.126 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 18$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.127 |
$8$ |
$x^{8} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 18$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.128 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.129 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 26$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.13 |
$8$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_4\times C_2$ (as 8T2) |
$1$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 8 x + 10$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.130 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 18$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.131 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.132 |
$8$ |
$x^{8} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.133 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.134 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 26$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.135 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 26$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.136 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 18$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.137 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.138 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.139 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{3} + 12 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{3} + 12 x^{2} + 8 x + 26$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.14 |
$8$ |
$x^{8} + 12 x^{6} + 6 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$D_4$ (as 8T4) |
$1$ |
$1$ |
$[2, 3, 4]$ |
$[2, 3, 4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 6 x^{4} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.24.140 |
$8$ |
$x^{8} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.141 |
$8$ |
$x^{8} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 18$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 18$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.142 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.24.143 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 4]$ |
$[2, 8/3, 8/3, 10/3, 10/3, 4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 8, 0]$ |
$[1, 1]$ |
