| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.16.45 |
$8$ |
$x^{8} + 8 x^{7} + 18 x^{6} + 12 x^{5} + 32 x^{4} + 64 x^{3} + 28 x^{2} + 24 x + 36$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t + 2\right) x^{2} + \left(4 t + 4\right) x + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.46 |
$8$ |
$x^{8} + 8 x^{7} + 18 x^{6} + 12 x^{5} + 48 x^{4} + 128 x^{3} + 44 x^{2} + 56 x + 196$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t + 2\right) x^{2} + \left(4 t + 4\right) x + 14$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.47 |
$8$ |
$x^{8} - 6 x^{6} + 8 x^{5} + 40 x^{4} - 24 x^{3} + 76 x^{2} + 16 x + 52$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 6 t x^{2} + 4 x + 8 t + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.48 |
$8$ |
$x^{8} + 8 x^{7} + 14 x^{6} + 64 x^{4} + 104 x^{3} - 12 x^{2} + 112 x + 196$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + 2 t x^{2} + 4 x + 14$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.53 |
$8$ |
$x^{8} - 6 x^{6} + 8 x^{5} + 36 x^{4} - 24 x^{3} + 124 x^{2} + 108$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 6 t x^{2} + 4 x + 12 t + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.54 |
$8$ |
$x^{8} - 2 x^{6} + 4 x^{5} + 44 x^{4} + 32 x^{3} + 36 x^{2} + 56 x + 76$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(6 t + 2\right) x^{2} + \left(4 t + 4\right) x + 4 t + 10$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.55 |
$8$ |
$x^{8} + 4 x^{7} + 18 x^{6} + 48 x^{5} + 52 x^{4} + 48 x^{3} + 60 x^{2} + 32 x + 28$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(6 t + 4\right) x^{2} + 4 x + 4 t + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.56 |
$8$ |
$x^{8} + 4 x^{7} + 22 x^{6} + 20 x^{5} + 44 x^{4} + 104 x^{3} + 100 x^{2} + 40 x + 172$ |
$2$ |
$4$ |
$2$ |
$16$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(2 t + 4\right) x^{2} + 4 t x + 12 t + 14$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.37 |
$8$ |
$x^{8} + 8 x^{7} + 10 x^{6} - 16 x^{5} + 68 x^{4} + 48 x^{3} + 100 x^{2} + 48 x + 12$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + 6 t x^{2} + \left(8 t + 8\right) x + 4 t + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.38 |
$8$ |
$x^{8} - 10 x^{6} - 8 x^{5} + 180 x^{4} + 208 x^{3} + 108 x^{2} + 16 x + 28$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(14 t + 2\right) x^{2} + 8 t x + 4 t + 6$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.39 |
$8$ |
$x^{8} + 8 x^{7} + 18 x^{6} + 108 x^{4} + 128 x^{3} + 308 x^{2} + 176 x + 124$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(14 t + 8\right) x^{2} + 8 t x + 12 t + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.40 |
$8$ |
$x^{8} + 6 x^{6} - 8 x^{5} + 60 x^{4} + 48 x^{3} + 172 x^{2} - 48 x + 156$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(6 t + 6\right) x^{2} + 8 t x + 4 t + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.49 |
$8$ |
$x^{8} - 10 x^{6} + 8 x^{5} + 116 x^{4} + 80 x^{3} + 164 x^{2} + 208 x + 172$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 10 t x^{2} + \left(8 t + 8\right) x + 12 t + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.50 |
$8$ |
$x^{8} + 4 x^{7} + 6 x^{6} + 40 x^{5} + 104 x^{4} + 8 x^{3} - 20 x^{2} + 4$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 10 t x^{2} + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.51 |
$8$ |
$x^{8} + 22 x^{6} - 8 x^{5} + 148 x^{4} - 16 x^{3} + 100 x^{2} + 48 x + 12$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(6 t + 14\right) x^{2} + 8 t x + 4 t + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.18.52 |
$8$ |
$x^{8} + 14 x^{6} + 196 x^{4} + 84 x^{2} + 12$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(14 t + 14\right) x^{2} + 4 t + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
| 2.8.20.33 |
$8$ |
$x^{8} - 4 x^{7} + 24 x^{6} + 32 x^{5} + 92 x^{4} - 56 x^{3} + 112 x^{2} + 196$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(8 t + 8\right) x^{2} + 14$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.34 |
$8$ |
$x^{8} + 4 x^{7} + 24 x^{6} + 16 x^{5} + 28 x^{4} + 72 x^{3} + 48 x^{2} + 84$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + 4 x^{2} + 8 t + 10$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.35 |
$8$ |
$x^{8} + 4 x^{7} + 28 x^{6} + 96 x^{5} + 152 x^{4} + 40 x^{3} + 120 x^{2} + 28$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(12 t + 12\right) x^{2} + 4 t + 6$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.36 |
$8$ |
$x^{8} + 4 x^{7} + 16 x^{6} + 40 x^{5} + 76 x^{4} + 136 x^{3} + 160 x^{2} + 112 x + 52$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(8 t + 4\right) x^{2} + 8 t x + 8 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.49 |
$8$ |
$x^{8} + 4 x^{7} + 28 x^{6} + 96 x^{5} + 144 x^{4} + 24 x^{3} + 72 x^{2} + 12$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(12 t + 12\right) x^{2} + 4 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.50 |
$8$ |
$x^{8} + 4 x^{7} + 20 x^{6} + 24 x^{5} + 48 x^{4} + 56 x^{3} + 88 x^{2} + 48 x + 12$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 4 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.51 |
$8$ |
$x^{8} + 4 x^{7} + 36 x^{6} + 72 x^{5} + 192 x^{4} + 184 x^{3} + 248 x^{2} + 112 x + 76$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(4 t + 12\right) x^{2} + \left(8 t + 8\right) x + 4 t + 10$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.20.52 |
$8$ |
$x^{8} + 4 x^{7} + 12 x^{6} + 64 x^{5} + 112 x^{4} + 24 x^{3} + 72 x^{2} + 12$ |
$2$ |
$4$ |
$2$ |
$20$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{3} + \left(12 t + 4\right) x^{2} + 4 t + 2$ |
$[7, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.55 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 156 x^{4} + 192 x^{3} + 568 x^{2} + 336 x + 468$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(12 t + 12\right) x^{2} + \left(8 t + 8\right) x + 24 t + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.56 |
$8$ |
$x^{8} + 12 x^{6} - 8 x^{5} + 60 x^{4} + 136 x^{2} - 48 x + 36$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 8\right) x^{2} + 8 t x + 6$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.57 |
$8$ |
$x^{8} + 16 x^{7} + 76 x^{6} + 88 x^{5} + 28 x^{4} + 352 x^{3} + 328 x^{2} - 176 x + 484$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(4 t + 8\right) x^{2} + 8 t x + 22$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.58 |
$8$ |
$x^{8} - 4 x^{6} + 8 x^{5} + 124 x^{4} + 128 x^{3} + 472 x^{2} + 336 x + 468$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(12 t + 4\right) x^{2} + \left(8 t + 8\right) x + 24 t + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.71 |
$8$ |
$x^{8} + 16 x^{7} + 68 x^{6} + 40 x^{5} + 116 x^{4} + 352 x^{3} + 184 x^{2} + 240 x + 372$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[3, 4]$ |
$[2, 3, 3, 4]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(4 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 22$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.72 |
$8$ |
$x^{8} + 16 x^{7} + 60 x^{6} - 24 x^{5} + 212 x^{4} + 416 x^{3} + 136 x^{2} + 240 x + 372$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[3, 4]$ |
$[2, 3, 3, 4]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(12 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 22$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.73 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 64 x^{3} + 184 x^{2} + 240 x + 468$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[3, 4]$ |
$[2, 3, 3, 4]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{2} + \left(8 t + 8\right) x + 24 t + 6$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.74 |
$8$ |
$x^{8} - 4 x^{6} + 8 x^{5} + 116 x^{4} + 128 x^{3} + 200 x^{2} + 112 x + 52$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$4$ |
$1$ |
$[3, 4]$ |
$[2, 3, 3, 4]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(12 t + 4\right) x^{2} + \left(8 t + 8\right) x + 8 t + 6$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.29.102 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{4} + 24 x^{2} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{4} + 24 x^{2} + 16 x + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.103 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.106 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{3} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{3} + 24 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.107 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 24 x^{2} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.108 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.113 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 16 x^{3} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 16 x^{3} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.114 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.115 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{5} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{5} + 24 x^{2} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.117 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 16 x^{5} + 8 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 16 x^{5} + 8 x^{4} + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.119 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.120 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.121 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 8 x^{4} + 24 x^{2} + 16 x + 26$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 8 x^{4} + 24 x^{2} + 16 x + 26$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.123 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 16 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.126 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 8 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.127 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 24 x^{2} + 10$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.65 |
$8$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{4} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 20 x^{6} + 16 x^{4} + 16 x + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.66 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{4} + 16 x + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{4} + 16 x + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.29.67 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 24 x^{4} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$29$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T30) |
$1$ |
$1$ |
$[3, 7/2, 19/4]$ |
$[2, 3, 7/2, 4, 17/4, 19/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 16 x^{5} + 24 x^{4} + 24 x^{2} + 18$ |
$[22, 14, 8, 0]$ |
$[1, 1, 1]$ |
