| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.25.1 |
$8$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 4 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2^3: C_4$ (as 8T21) |
$1$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 4 x^{2} + 16 x + 2$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.10 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 28 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 28 x^{2} + 18$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.100 |
$8$ |
$x^{8} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 28 x^{2} + 22$ |
$2$ |
$8$ |
$1$ |
$25$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 28 x^{2} + 22$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.101 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.102 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 10 x^{4} + 12 x^{2} + 22$ |
$2$ |
$8$ |
$1$ |
$25$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 10 x^{4} + 12 x^{2} + 22$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.103 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.104 |
$8$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 12 x^{2} + 16 x + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 12 x^{2} + 16 x + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.105 |
$8$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 28 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 2 x^{4} + 28 x^{2} + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.106 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 30$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 6 x^{4} + 8 x^{3} + 12 x^{2} + 30$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.107 |
$8$ |
$x^{8} + 2 x^{4} + 4 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 4 x^{2} + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.108 |
$8$ |
$x^{8} + 2 x^{4} + 4 x^{2} + 16 x + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 4 x^{2} + 16 x + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.109 |
$8$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 28 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 28 x^{2} + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.11 |
$8$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 20 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 10 x^{4} + 20 x^{2} + 16 x + 18$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.110 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 2 x^{4} + 4 x^{2} + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.111 |
$8$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 28 x^{2} + 16 x + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 2 x^{4} + 28 x^{2} + 16 x + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.112 |
$8$ |
$x^{8} + 2 x^{4} + 20 x^{2} + 16 x + 6$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 20 x^{2} + 16 x + 6$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.113 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 26$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.114 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 26$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.115 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{3} + 20 x^{2} + 16 x + 10$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{3} + 20 x^{2} + 16 x + 10$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.116 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 18$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.117 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.118 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 10$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 10$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.119 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 18$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.12 |
$8$ |
$x^{8} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 12 x^{2} + 26$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.120 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 26$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.121 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 16 x + 18$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.122 |
$8$ |
$x^{8} + 8 x^{5} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 8 x^{3} + 12 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.123 |
$8$ |
$x^{8} + 8 x^{5} + 8 x^{3} + 28 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 8 x^{3} + 28 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.124 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 16 x + 26$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.125 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{3} + 20 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{3} + 20 x^{2} + 10$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.126 |
$8$ |
$x^{8} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 28 x^{2} + 16 x + 26$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.127 |
$8$ |
$x^{8} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 28 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 28 x^{2} + 10$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.128 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 8 x^{3} + 12 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.13 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 28 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 28 x^{2} + 16 x + 18$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.14 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 2 x^{4} + 12 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 2 x^{4} + 12 x^{2} + 2$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.15 |
$8$ |
$x^{8} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 28 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 14 x^{4} + 8 x^{3} + 28 x^{2} + 26$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.16 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$2$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 12 x^{2} + 18$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.17 |
$8$ |
$x^{8} + 4 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.18 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 4 x^{4} + 4 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.19 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 20 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 20 x^{2} + 16 x + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.2 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 14 x^{4} + 8 x^{3} + 28 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2^3: C_4$ (as 8T21) |
$1$ |
$1$ |
$[2, 3, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 14 x^{4} + 8 x^{3} + 28 x^{2} + 2$ |
$[18, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.25.20 |
$8$ |
$x^{8} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 4 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.21 |
$8$ |
$x^{8} + 8 x^{6} + 20 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 20 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.22 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 20 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 20 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.23 |
$8$ |
$x^{8} + 4 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{2} + 16 x + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.24 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{2} + 16 x + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.25 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.26 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{4} + 20 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{4} + 20 x^{2} + 16 x + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.27 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{2} + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
| 2.8.25.28 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$25$ |
$C_2 \wr S_4$ (as 8T44) |
$2$ |
$3$ |
$[8/3, 8/3, 17/4]$ |
$[8/3, 8/3, 3, 23/6, 23/6, 17/4]_{3}^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{2} + 16 x + 2$ |
$[18, 10, 8, 0]$ |
$[1, 1]$ |
