| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 2.8.8.5 |
$8$ |
$x^{8} + 8 x^{7} + 56 x^{6} + 184 x^{5} + 576 x^{4} + 960 x^{3} + 1632 x^{2} + 1120 x + 304$ |
$2$ |
$2$ |
$4$ |
$8$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$1$ |
$[2]$ |
$[2, 2]^{4}$ |
$t^{4} + t + 1$ |
$x^{2} + \left(2 t^{2} + 2 t + 2\right) x + 4 t^{3} + 6$ |
$[1, 0]$ |
$[1]$ |
| 2.8.12.7 |
$8$ |
$x^{8} + 16 x^{7} + 160 x^{6} + 800 x^{5} + 2952 x^{4} + 7104 x^{3} + 12992 x^{2} + 14208 x + 10320$ |
$2$ |
$2$ |
$4$ |
$12$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$1$ |
$[3]$ |
$[2, 3]^{4}$ |
$t^{4} + t + 1$ |
$x^{2} + \left(4 t^{2} + 4 t + 4\right) x + 8 t^{3} + 8 t^{2} + 2$ |
$[2, 0]$ |
$[1]$ |
| 2.8.16.35 |
$8$ |
$x^{8} + 8 x^{6} - 4 x^{5} + 44 x^{4} + 8 x^{3} + 152 x^{2} + 40 x + 172$ |
$2$ |
$4$ |
$2$ |
$16$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 6\right) x^{2} + 4 t x + 12 t + 14$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.36 |
$8$ |
$x^{8} - 4 x^{5} + 4 x^{4} + 24 x^{3} + 88 x^{2} + 88 x + 124$ |
$2$ |
$4$ |
$2$ |
$16$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 2\right) x^{2} + 4 t x + 12 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.37 |
$8$ |
$x^{8} + 8 x^{6} - 4 x^{5} + 28 x^{4} + 8 x^{3} + 88 x^{2} + 72 x + 108$ |
$2$ |
$4$ |
$2$ |
$16$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 6\right) x^{2} + 4 t x + 12 t + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.16.38 |
$8$ |
$x^{8} - 4 x^{5} + 20 x^{4} + 24 x^{3} + 88 x^{2} + 56 x + 124$ |
$2$ |
$4$ |
$2$ |
$16$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 2\right) x^{2} + 4 t x + 12 t + 10$ |
$[5, 2, 0]$ |
$[1, 1]$ |
| 2.8.22.33 |
$8$ |
$x^{8} + 8 x^{7} + 88 x^{6} + 96 x^{5} + 148 x^{4} + 112 x^{3} + 48 x^{2} + 52$ |
$2$ |
$4$ |
$2$ |
$22$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$1$ |
$[3, 4]$ |
$[3, 4]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(8 t + 8\right) x^{3} + 12 x^{2} + 8 t + 6$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.34 |
$8$ |
$x^{8} + 16 x^{7} + 72 x^{6} + 80 x^{5} + 188 x^{4} + 32 x^{3} + 336 x^{2} - 32 x + 436$ |
$2$ |
$4$ |
$2$ |
$22$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$1$ |
$[3, 4]$ |
$[3, 4]^{4}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(8 t + 8\right) x^{2} + 8 x + 24 t + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.35 |
$8$ |
$x^{8} + 16 x^{7} + 76 x^{6} + 88 x^{5} - 16 x^{4} + 184 x^{2} + 240 x + 300$ |
$2$ |
$4$ |
$2$ |
$22$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + \left(4 t + 8\right) x^{2} + 8 t x + 20 t + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.36 |
$8$ |
$x^{8} - 8 x^{7} + 60 x^{6} + 168 x^{5} + 200 x^{4} + 176 x^{3} + 232 x^{2} + 240 x + 252$ |
$2$ |
$4$ |
$2$ |
$22$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 t x^{3} + \left(12 t + 4\right) x^{2} + \left(8 t + 8\right) x + 12 t + 18$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.37 |
$8$ |
$x^{8} + 16 x^{7} + 80 x^{6} + 144 x^{5} + 236 x^{4} + 480 x^{3} + 416 x^{2} + 352 x + 532$ |
$2$ |
$4$ |
$2$ |
$22$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 8 t + 26$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.22.38 |
$8$ |
$x^{8} + 16 x^{7} + 88 x^{6} + 192 x^{5} + 156 x^{4} + 96 x^{3} + 144 x^{2} + 84$ |
$2$ |
$4$ |
$2$ |
$22$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + 12 x^{2} + 8 t + 10$ |
$[8, 4, 0]$ |
$[1, 1]$ |
| 2.8.31.10 |
$8$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 34$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 34$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.101 |
$8$ |
$x^{8} + 16 x^{6} + 4 x^{4} + 16 x^{3} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{6} + 4 x^{4} + 16 x^{3} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.102 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.103 |
$8$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.104 |
$8$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.105 |
$8$ |
$x^{8} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.106 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 4 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 4 x^{4} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.107 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.108 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 58$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 58$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.11 |
$8$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 16 x^{2} + 18$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.12 |
$8$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 16 x^{2} + 34$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 16 x^{2} + 34$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.17 |
$8$ |
$x^{8} + 8 x^{6} + 20 x^{4} + 34$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 20 x^{4} + 34$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.18 |
$8$ |
$x^{8} + 16 x^{6} + 4 x^{4} + 16 x^{3} + 50$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{6} + 4 x^{4} + 16 x^{3} + 50$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.19 |
$8$ |
$x^{8} + 16 x^{5} + 20 x^{4} + 16 x^{3} + 16 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 20 x^{4} + 16 x^{3} + 16 x^{2} + 18$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.20 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 50$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 50$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.21 |
$8$ |
$x^{8} + 16 x^{6} + 20 x^{4} + 16 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 16 x^{6} + 20 x^{4} + 16 x^{3} + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.22 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.23 |
$8$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 34$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 16 x^{3} + 34$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.24 |
$8$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 18$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2, 3, 4, 5]$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 4 x^{4} + 18$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.9 |
$8$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 16 x^{2} + 50$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 20 x^{4} + 16 x^{3} + 16 x^{2} + 50$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.93 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.94 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.95 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 42$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 42$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 2.8.31.96 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$31$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[3, 4, 5]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 20 x^{4} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
| 3.8.6.3 |
$8$ |
$x^{8} - 6 x^{4} + 18$ |
$3$ |
$4$ |
$2$ |
$6$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{2} + 2 t + 2$ |
$x^{4} + 3 t$ |
$[0]$ |
$[1]$ |
| 5.8.7.1 |
$8$ |
$x^{8} + 20$ |
$5$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 3$ |
$x^{8} + 20$ |
$[0]$ |
$[2]$ |
| 5.8.7.2 |
$8$ |
$x^{8} + 5$ |
$5$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 3$ |
$x^{8} + 5$ |
$[0]$ |
$[2]$ |
| 5.8.7.3 |
$8$ |
$x^{8} + 10$ |
$5$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 3$ |
$x^{8} + 10$ |
$[0]$ |
$[2]$ |
| 5.8.7.4 |
$8$ |
$x^{8} + 15$ |
$5$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 3$ |
$x^{8} + 15$ |
$[0]$ |
$[2]$ |
| 7.8.6.3 |
$8$ |
$x^{8} - 154 x^{4} - 1421$ |
$7$ |
$4$ |
$2$ |
$6$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{2} + 6 t + 3$ |
$x^{4} + 35 t + 28$ |
$[0]$ |
$[1]$ |
| 11.8.6.3 |
$8$ |
$x^{8} - 165 x^{4} - 4356$ |
$11$ |
$4$ |
$2$ |
$6$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{2} + 7 t + 2$ |
$x^{4} + 33 t + 33$ |
$[0]$ |
$[1]$ |
| 13.8.7.1 |
$8$ |
$x^{8} + 52$ |
$13$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 11$ |
$x^{8} + 52$ |
$[0]$ |
$[2]$ |
| 13.8.7.2 |
$8$ |
$x^{8} + 13$ |
$13$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 11$ |
$x^{8} + 13$ |
$[0]$ |
$[2]$ |
| 13.8.7.3 |
$8$ |
$x^{8} + 26$ |
$13$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 11$ |
$x^{8} + 26$ |
$[0]$ |
$[2]$ |
| 13.8.7.4 |
$8$ |
$x^{8} + 91$ |
$13$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 11$ |
$x^{8} + 91$ |
$[0]$ |
$[2]$ |
| 19.8.6.3 |
$8$ |
$x^{8} - 5510 x^{4} - 1650131$ |
$19$ |
$4$ |
$2$ |
$6$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{2} + 18 t + 2$ |
$x^{4} + 342 t + 323$ |
$[0]$ |
$[1]$ |
| 23.8.6.3 |
$8$ |
$x^{8} - 483 x^{4} + 2645$ |
$23$ |
$4$ |
$2$ |
$6$ |
$C_8:C_2$ (as 8T7) |
$4$ |
$4$ |
$[\ ]$ |
$[\ ]_{4}^{4}$ |
$t^{2} + 21 t + 5$ |
$x^{4} + 23 t$ |
$[0]$ |
$[1]$ |
| 29.8.7.1 |
$8$ |
$x^{8} + 116$ |
$29$ |
$8$ |
$1$ |
$7$ |
$C_8:C_2$ (as 8T7) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$t + 27$ |
$x^{8} + 116$ |
$[0]$ |
$[2]$ |
