| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.12.21 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{3} - 4 x^{2} + 4$ |
$2$ |
$4$ |
$2$ |
$12$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[2, 2]$ |
$[2, 2, 2, 2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(2 t + 2\right) x^{3} + 2 t x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
| 2.8.12.22 |
$8$ |
$x^{8} + 2 x^{7} + 8 x^{6} + 4 x^{5} + 4 x^{4} + 12 x^{3} + 12$ |
$2$ |
$4$ |
$2$ |
$12$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[2, 2]$ |
$[2, 2, 2, 2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(2 t + 2\right) x^{3} + 2 x^{2} + 4 t + 2$ |
$[3, 2, 0]$ |
$[2]$ |
| 2.8.12.23 |
$8$ |
$x^{8} - 2 x^{7} + 8 x^{6} - 4 x^{5} + 8 x^{4} - 4 x^{3} + 8 x^{2} + 4$ |
$2$ |
$4$ |
$2$ |
$12$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[2, 2]$ |
$[2, 2, 2, 2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 2 t x^{3} + 2 x^{2} + 2$ |
$[3, 2, 0]$ |
$[2]$ |
| 2.8.12.24 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 4 x^{5} + 16 x^{4} + 12 x^{3} - 12 x^{2} + 36$ |
$2$ |
$4$ |
$2$ |
$12$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[2, 2]$ |
$[2, 2, 2, 2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(2 t + 2\right) x^{3} + 2 t x^{2} + 6$ |
$[3, 2, 0]$ |
$[2]$ |
| 2.8.16.31 |
$8$ |
$x^{8} + 8 x^{7} + 26 x^{6} + 36 x^{5} + 8 x^{4} - 24 x^{3} + 20 x^{2} + 56 x + 52$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 2, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t + 6\right) x^{2} + 4 t x + 8 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.32 |
$8$ |
$x^{8} + 8 x^{7} + 26 x^{6} + 36 x^{5} + 20 x^{4} + 24 x^{3} + 68 x^{2} + 8 x + 28$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 2, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t + 6\right) x^{2} + 4 t x + 4 t + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.33 |
$8$ |
$x^{8} + 8 x^{7} + 18 x^{6} + 4 x^{5} + 8 x^{4} + 88 x^{3} + 60 x^{2} + 8 x + 148$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 2, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t + 2\right) x^{2} + 4 t x + 8 t + 14$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.34 |
$8$ |
$x^{8} + 8 x^{7} + 18 x^{6} + 4 x^{5} - 20 x^{4} - 24 x^{3} + 44 x^{2} + 88 x + 124$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 2, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t + 2\right) x^{2} + 4 t x + 12 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.21 |
$8$ |
$x^{8} - 4 x^{7} + 10 x^{6} + 48 x^{5} + 36 x^{4} + 72 x^{3} + 108 x^{2} + 108$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + 6 t x^{2} + 12 t + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.22 |
$8$ |
$x^{8} + 8 x^{7} + 6 x^{6} - 24 x^{5} + 248 x^{4} - 32 x^{3} + 172 x^{2} + 96 x + 84$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(14 t + 2\right) x^{2} + 8 x + 8 t + 10$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.23 |
$8$ |
$x^{8} + 14 x^{6} + 16 x^{5} + 136 x^{4} + 112 x^{3} + 148 x^{2} + 96 x + 36$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(10 t + 12\right) x^{2} + 8 x + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.24 |
$8$ |
$x^{8} - 4 x^{7} + 34 x^{6} - 24 x^{5} + 100 x^{4} + 40 x^{3} + 180 x^{2} + 172$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(2 t + 10\right) x^{2} + 12 t + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.25 |
$8$ |
$x^{8} + 8 x^{7} + 30 x^{6} + 64 x^{5} + 232 x^{4} + 240 x^{3} + 260 x^{2} + 112 x + 52$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(14 t + 14\right) x^{2} + \left(8 t + 8\right) x + 8 t + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.26 |
$8$ |
$x^{8} - 2 x^{6} + 16 x^{5} + 32 x^{4} - 16 x^{3} + 36 x^{2} + 224 x + 196$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 2 t x^{2} + 8 x + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.27 |
$8$ |
$x^{8} + 8 x^{7} + 22 x^{6} + 32 x^{5} + 72 x^{4} + 112 x^{3} + 76 x^{2} + 16 x + 4$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(6 t + 6\right) x^{2} + \left(8 t + 8\right) x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.28 |
$8$ |
$x^{8} + 8 x^{7} + 18 x^{6} + 8 x^{5} + 152 x^{4} + 16 x^{3} + 4 x^{2} + 4$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(14 t + 8\right) x^{2} + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.20.13 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 32 x^{5} + 76 x^{4} + 16 x^{3} + 104 x^{2} - 32 x + 52$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 3, 7/2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(4 t + 4\right) x^{2} + 8 x + 8 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.14 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{5} + 116 x^{4} + 16 x^{3} + 152 x^{2} + 52$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 3, 7/2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(12 t + 8\right) x^{2} + 8 t + 6$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.15 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} - 16 x^{5} + 36 x^{4} + 80 x^{3} - 40 x^{2} + 100$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 3, 7/2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + 4 t x^{2} + 10$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.16 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} - 16 x^{5} + 28 x^{4} + 48 x^{3} - 24 x^{2} + 36$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 3, 7/2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + 4 t x^{2} + 6$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.17 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 32 x^{5} + 204 x^{4} + 144 x^{3} + 120 x^{2} + 224 x + 196$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 3, 7/2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(12 t + 8\right) x^{2} + 8 x + 14$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.18 |
$8$ |
$x^{8} + 8 x^{7} + 28 x^{6} + 48 x^{5} + 68 x^{4} + 80 x^{3} + 168 x^{2} + 148$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 3, 7/2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(4 t + 8\right) x^{2} + 8 t + 14$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.19 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} - 16 x^{5} + 20 x^{4} + 16 x^{3} + 40 x^{2} + 52$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 3, 7/2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + 4 t x^{2} + 8 t + 6$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.20 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{5} + 44 x^{4} + 112 x^{3} + 56 x^{2} + 196$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$4$ |
$1$ |
$[3, 7/2]$ |
$[2, 3, 3, 7/2]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(4 t + 4\right) x^{2} + 14$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.43 |
$8$ |
$x^{8} + 16 x^{7} + 76 x^{6} + 112 x^{5} + 308 x^{4} + 384 x^{3} + 568 x^{2} + 288 x + 516$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(12 t + 12\right) x^{2} + 8 x + 16 t + 26$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.44 |
$8$ |
$x^{8} + 16 x^{7} + 68 x^{6} + 48 x^{5} + 236 x^{4} + 344 x^{2} - 32 x + 196$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(12 t + 8\right) x^{2} + 8 x + 16 t + 6$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.45 |
$8$ |
$x^{8} + 16 x^{6} - 8 x^{5} + 80 x^{4} - 64 x^{3} + 192 x^{2} + 176 x + 364$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{2} + 8 t x + 20 t + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.46 |
$8$ |
$x^{8} + 16 x^{7} + 68 x^{6} + 48 x^{5} + 284 x^{4} + 384 x^{3} + 152 x^{2} + 352 x + 484$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(12 t + 8\right) x^{2} + 8 x + 22$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.47 |
$8$ |
$x^{8} + 16 x^{7} + 80 x^{6} + 120 x^{5} + 40 x^{4} + 256 x^{3} + 384 x^{2} - 112 x + 412$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + 8 x^{2} + 8 t x + 4 t + 22$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.48 |
$8$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 52 x^{4} + 96 x^{3} + 184 x^{2} + 32 x + 196$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 8\right) x^{2} + 8 x + 16 t + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.49 |
$8$ |
$x^{8} + 16 x^{6} - 8 x^{5} + 64 x^{4} - 64 x^{3} + 64 x^{2} + 48 x + 12$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{2} + 8 t x + 4 t + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.50 |
$8$ |
$x^{8} - 8 x^{7} + 76 x^{6} + 52 x^{4} + 80 x^{3} + 72 x^{2} + 52$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 t x^{3} + \left(4 t + 8\right) x^{2} + 8 t + 6$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.29.1 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{4} + 16 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.10 |
$8$ |
$x^{8} + 4 x^{6} + 24 x^{4} + 16 x^{2} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 24 x^{4} + 16 x^{2} + 16 x + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.11 |
$8$ |
$x^{8} + 20 x^{6} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 20 x^{6} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.12 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 24 x^{4} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 24 x^{4} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.13 |
$8$ |
$x^{8} + 28 x^{6} + 8 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 28 x^{6} + 8 x^{2} + 16 x + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.14 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{4} + 16 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.15 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{4} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{4} + 8 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.16 |
$8$ |
$x^{8} + 4 x^{6} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.2 |
$8$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.3 |
$8$ |
$x^{8} + 4 x^{6} + 24 x^{4} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 24 x^{4} + 8 x^{2} + 2$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.33 |
$8$ |
$x^{8} + 20 x^{6} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 20 x^{6} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.34 |
$8$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.35 |
$8$ |
$x^{8} + 4 x^{6} + 24 x^{4} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 24 x^{4} + 8 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.36 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 16 x^{4} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 16 x^{4} + 24 x^{2} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.37 |
$8$ |
$x^{8} + 28 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 28 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.38 |
$8$ |
$x^{8} + 20 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 20 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.39 |
$8$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 24 x^{4} + 16 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 16 x^{5} + 24 x^{4} + 16 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.4 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{4} + 16 x^{3} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T28) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{4} + 16 x^{3} + 16 x + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
