| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.14.3 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2^3 : C_4 $ (as 8T19) |
$4$ |
$1$ |
$[2, 2, 2]$ |
$[2, 2, 2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 2$ |
$[7, 6, 4, 0]$ |
$[4]$ |
| 2.8.14.4 |
$8$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 6$ |
$2$ |
$8$ |
$1$ |
$14$ |
$C_2^3 : C_4 $ (as 8T19) |
$4$ |
$1$ |
$[2, 2, 2]$ |
$[2, 2, 2]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 6$ |
$[7, 6, 4, 0]$ |
$[4]$ |
| 2.8.18.61 |
$8$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$18$ |
$C_2^3 : C_4 $ (as 8T19) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[2, 2, 3]^{4}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{3} + 2$ |
$[11, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.18.62 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 6$ |
$2$ |
$8$ |
$1$ |
$18$ |
$C_2^3 : C_4 $ (as 8T19) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[2, 2, 3]^{4}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 6$ |
$[11, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.61 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_2^3 : C_4 $ (as 8T19) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{4}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 6$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.62 |
$8$ |
$x^{8} + 4 x^{5} + 2 x^{4} + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_2^3 : C_4 $ (as 8T19) |
$4$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{4}$ |
$t + 1$ |
$x^{8} + 4 x^{5} + 2 x^{4} + 6$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.75 |
$8$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 2$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.76 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 3, 3]$ |
$[2, 3, 3]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 2$ |
$[13, 12, 4, 0]$ |
$[2, 1]$ |
| 2.8.20.81 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 6$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.82 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 10$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.83 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 8 x + 6$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 8 x + 6$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.20.84 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$20$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
| 2.8.22.103 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$22$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 3, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.22.104 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$22$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 3, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 2 x^{4} + 4 x^{2} + 6$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.22.105 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 6 x^{4} + 12 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$22$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 3, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 6 x^{4} + 12 x^{2} + 10$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.22.106 |
$8$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 6 x^{4} + 4 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$22$ |
$C_2^3 : C_4 $ (as 8T19) |
$2$ |
$1$ |
$[2, 3, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 4 x^{6} + 6 x^{4} + 4 x^{2} + 10$ |
$[15, 10, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.65 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.66 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 18$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 18$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.67 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 16 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 16 x^{2} + 18$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.68 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.69 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.70 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.71 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 24 x^{2} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.72 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 24 x^{2} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.73 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.74 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 24 x^{2} + 18$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.75 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.76 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.77 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 26$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 26$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.78 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 24 x^{2} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.79 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.26.80 |
$8$ |
$x^{8} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$26$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[2, 7/2, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 10 x^{4} + 8 x^{3} + 24 x^{2} + 2$ |
$[19, 12, 4, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.1 |
$8$ |
$x^{8} + 8 x^{5} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 24 x^{2} + 18$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.10 |
$8$ |
$x^{8} + 8 x^{5} + 8 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 8 x^{2} + 26$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.11 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 24 x^{2} + 18$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.12 |
$8$ |
$x^{8} + 8 x^{5} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 24 x^{2} + 2$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.15 |
$8$ |
$x^{8} + 8 x^{5} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 24 x^{2} + 26$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.16 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 24 x^{2} + 26$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.2 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 18$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.21 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 10$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.22 |
$8$ |
$x^{8} + 8 x^{5} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 24 x^{2} + 10$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.23 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 24 x^{2} + 10$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.24 |
$8$ |
$x^{8} + 8 x^{5} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 8 x^{2} + 10$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.28 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 24 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 24 x^{2} + 2$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.29 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 2$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.30 |
$8$ |
$x^{8} + 8 x^{5} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 8 x^{2} + 18$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.8 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 26$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.28.9 |
$8$ |
$x^{8} + 8 x^{5} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$C_2^3 : C_4 $ (as 8T19) |
$1$ |
$1$ |
$[3, 4, 17/4]$ |
$[2, 3, 7/2, 4, 17/4]$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 8 x^{2} + 2$ |
$[21, 16, 8, 0]$ |
$[1, 1, 1]$ |
