Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.8.18.10 |
$8$ |
$x^{8} - 4 x^{7} + 26 x^{6} + 8 x^{5} + 132 x^{4} + 72 x^{3} + 252 x^{2} + 80 x + 172$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{3} + \left(6 t + 8\right) x^{2} + 8 t x + 12 t + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
2.8.18.11 |
$8$ |
$x^{8} + 8 x^{7} + 10 x^{6} - 16 x^{5} + 80 x^{4} + 96 x^{3} + 100 x^{2} + 144 x + 84$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + 6 t x^{2} + \left(8 t + 8\right) x + 8 t + 10$ |
$[6, 2, 0]$ |
$[1, 1]$ |
2.8.18.12 |
$8$ |
$x^{8} + 8 x^{7} + 30 x^{6} + 48 x^{5} + 168 x^{4} + 128 x^{3} + 92 x^{2} - 16 x + 4$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(14 t + 14\right) x^{2} + 8 t x + 2$ |
$[6, 2, 0]$ |
$[1, 1]$ |
2.8.18.13 |
$8$ |
$x^{8} + 8 x^{7} + 14 x^{6} - 16 x^{5} + 8 x^{4} + 128 x^{3} + 124 x^{2} + 48 x + 84$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(6 t + 2\right) x^{2} + 8 t x + 8 t + 10$ |
$[6, 2, 0]$ |
$[1, 1]$ |
2.8.18.14 |
$8$ |
$x^{8} + 8 x^{7} + 30 x^{6} + 48 x^{5} + 72 x^{4} + 128 x^{3} + 260 x^{2} - 112 x + 196$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(6 t + 10\right) x^{2} + 8 t x + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
2.8.18.15 |
$8$ |
$x^{8} - 2 x^{6} - 8 x^{5} + 96 x^{4} + 128 x^{3} + 164 x^{2} + 16 x + 148$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(10 t + 4\right) x^{2} + 8 t x + 8 t + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
2.8.18.16 |
$8$ |
$x^{8} - 14 x^{6} - 8 x^{5} + 216 x^{4} + 224 x^{3} + 92 x^{2} + 16 x + 148$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 14 t x^{2} + 8 t x + 8 t + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
2.8.18.9 |
$8$ |
$x^{8} + 8 x^{7} + 14 x^{6} - 8 x^{5} + 56 x^{4} + 112 x^{3} - 28 x^{2} + 196$ |
$2$ |
$4$ |
$2$ |
$18$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(6 t + 2\right) x^{2} + 14$ |
$[6, 2, 0]$ |
$[1, 1]$ |
2.8.22.21 |
$8$ |
$x^{8} + 16 x^{6} + 8 x^{5} + 112 x^{4} + 64 x^{3} + 448 x^{2} + 240 x + 588$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{2} + \left(8 t + 8\right) x + 4 t + 26$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.22 |
$8$ |
$x^{8} + 16 x^{7} + 88 x^{6} + 184 x^{5} + 96 x^{4} + 32 x^{3} + 256 x^{2} - 16 x + 76$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + 12 x^{2} + 8 t x + 4 t + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.23 |
$8$ |
$x^{8} + 16 x^{7} + 80 x^{6} + 120 x^{5} + 80 x^{4} + 288 x^{3} + 368 x^{2} - 80 x + 268$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(8 t + 12\right) x^{2} + 8 t x + 4 t + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.24 |
$8$ |
$x^{8} - 4 x^{6} + 16 x^{5} + 68 x^{4} - 32 x^{3} + 8 x^{2} + 416 x + 724$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{2} + 8 x + 8 t + 30$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.25 |
$8$ |
$x^{8} - 12 x^{6} + 16 x^{5} + 172 x^{4} - 96 x^{3} + 40 x^{2} + 224 x + 244$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 12 t x^{2} + 8 x + 8 t + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.26 |
$8$ |
$x^{8} + 12 x^{6} + 16 x^{5} + 68 x^{4} + 96 x^{3} + 328 x^{2} + 160 x + 532$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 8\right) x^{2} + 8 x + 24 t + 22$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.27 |
$8$ |
$x^{8} - 4 x^{6} + 16 x^{5} + 28 x^{4} - 32 x^{3} + 88 x^{2} + 96 x + 84$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 t x^{2} + 8 x + 8 t + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.28 |
$8$ |
$x^{8} + 20 x^{6} + 16 x^{5} + 92 x^{4} + 160 x^{3} + 8 x^{2} - 160 x + 532$ |
$2$ |
$4$ |
$2$ |
$22$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 12\right) x^{2} + 8 x + 24 t + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.24.41 |
$8$ |
$x^{8} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.42 |
$8$ |
$x^{8} + 12 x^{4} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{4} + 8 x + 2$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.43 |
$8$ |
$x^{8} + 12 x^{4} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{4} + 8 x + 10$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.44 |
$8$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.45 |
$8$ |
$x^{8} + 8 x^{4} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{4} + 8 x + 2$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.46 |
$8$ |
$x^{8} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{2} + 8 x + 2$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.47 |
$8$ |
$x^{8} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.48 |
$8$ |
$x^{8} + 8 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{2} + 8 x + 10$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.49 |
$8$ |
$x^{8} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x + 2$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.50 |
$8$ |
$x^{8} + 8 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{4} + 8 x^{2} + 8 x + 10$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.51 |
$8$ |
$x^{8} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.52 |
$8$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.53 |
$8$ |
$x^{8} + 4 x^{4} + 8 x + 2$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 8 x + 2$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.54 |
$8$ |
$x^{8} + 4 x^{4} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 8 x + 10$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.55 |
$8$ |
$x^{8} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x + 10$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.24.56 |
$8$ |
$x^{8} + 8 x^{4} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$24$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 7/2]$ |
$[2, 2, 3, 7/2, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{4} + 8 x + 10$ |
$[17, 16, 8, 0]$ |
$[2, 1]$ |
2.8.26.33 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.34 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 10$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.35 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{3} + 10$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.36 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.37 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 10$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.38 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.39 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.40 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 10$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.41 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.42 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.43 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{4} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.44 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 10$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.45 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 10$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.46 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 10$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.47 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 8 x^{3} + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.48 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[3, 7/2, 4]$ |
$[2, 2, 3, 7/2, 4]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 10$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.26.81 |
$8$ |
$x^{8} + 10 x^{4} + 8 x^{3} + 16 x + 6$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 10 x^{4} + 8 x^{3} + 16 x + 6$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.26.82 |
$8$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 6$ |
$2$ |
$8$ |
$1$ |
$26$ |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$2$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{4} + 8 x^{3} + 6$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |