Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.8.16.41 |
$8$ |
$x^{8} - 2 x^{6} + 8 x^{5} + 32 x^{4} - 8 x^{3} + 12 x^{2} + 16 x + 4$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(6 t + 2\right) x^{2} + 4 x + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
2.8.16.42 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 16 x^{3} + 28 x^{2} + 24 x + 12$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(2 t + 2\right) x^{2} + \left(4 t + 4\right) x + 4 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
2.8.16.43 |
$8$ |
$x^{8} + 8 x^{7} + 18 x^{6} + 12 x^{5} + 32 x^{4} + 64 x^{3} + 52 x^{2} + 72 x + 84$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t + 2\right) x^{2} + \left(4 t + 4\right) x + 8 t + 10$ |
$[5, 2, 0]$ |
$[1, 1]$ |
2.8.16.44 |
$8$ |
$x^{8} + 8 x^{7} + 22 x^{6} + 32 x^{5} + 52 x^{4} + 56 x^{3} + 52 x^{2} + 32 x + 28$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(2 t + 4\right) x^{2} + 4 x + 4 t + 6$ |
$[5, 2, 0]$ |
$[1, 1]$ |
2.8.16.49 |
$8$ |
$x^{8} + 8 x^{7} + 18 x^{6} + 16 x^{5} + 68 x^{4} + 40 x^{3} + 132 x^{2} + 32 x + 124$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(6 t + 4\right) x^{2} + 4 x + 12 t + 10$ |
$[5, 2, 0]$ |
$[1, 1]$ |
2.8.16.50 |
$8$ |
$x^{8} + 8 x^{7} + 22 x^{6} + 28 x^{5} + 80 x^{4} + 160 x^{3} + 100 x^{2} + 56 x + 196$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 4 x^{3} + \left(6 t + 6\right) x^{2} + \left(4 t + 4\right) x + 14$ |
$[5, 2, 0]$ |
$[1, 1]$ |
2.8.16.51 |
$8$ |
$x^{8} + 6 x^{6} + 8 x^{5} + 12 x^{4} + 24 x^{3} + 28 x^{2} + 12$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(2 t + 4\right) x^{2} + 4 x + 4 t + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
2.8.16.52 |
$8$ |
$x^{8} + 6 x^{6} + 4 x^{5} + 60 x^{4} + 48 x^{3} + 124 x^{2} + 72 x + 156$ |
$2$ |
$4$ |
$2$ |
$16$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3]$ |
$[2, 2, 3, 3]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(6 t + 6\right) x^{2} + \left(4 t + 4\right) x + 4 t + 14$ |
$[5, 2, 0]$ |
$[1, 1]$ |
2.8.20.93 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 2$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
2.8.20.94 |
$8$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
2.8.20.95 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 14$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 14$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
2.8.20.96 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x + 10$ |
$2$ |
$8$ |
$1$ |
$20$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 2, 7/2]$ |
$[2, 2, 3, 7/2]^{2}$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x + 10$ |
$[13, 6, 6, 0]$ |
$[1, 2]$ |
2.8.22.67 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 76 x^{4} + 96 x^{3} + 328 x^{2} + 304 x + 388$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 8\right) x^{2} + \left(8 t + 8\right) x + 16 t + 22$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.68 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 60 x^{4} + 96 x^{3} + 232 x^{2} + 240 x + 228$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 8\right) x^{2} + \left(8 t + 8\right) x + 16 t + 14$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.69 |
$8$ |
$x^{8} + 16 x^{7} + 64 x^{6} + 32 x^{4} + 256 x^{3} + 844$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + 28 t + 30$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.22.70 |
$8$ |
$x^{8} + 16 x^{7} + 52 x^{6} - 88 x^{5} + 220 x^{4} + 192 x^{3} - 8 x^{2} + 48 x + 36$ |
$2$ |
$4$ |
$2$ |
$22$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t^{2} + t + 1$ |
$x^{4} + 8 x^{3} + 12 t x^{2} + \left(8 t + 8\right) x + 6$ |
$[8, 4, 0]$ |
$[1, 1]$ |
2.8.24.77 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 14$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 14$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
2.8.24.78 |
$8$ |
$x^{8} + 8 x^{6} + 14 x^{4} + 4 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 14 x^{4} + 4 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
2.8.24.79 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 14 x^{4} + 4 x^{2} + 8 x + 26$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 14 x^{4} + 4 x^{2} + 8 x + 26$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
2.8.24.80 |
$8$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 14$ |
$2$ |
$8$ |
$1$ |
$24$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[2, 2, 3, 4]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 10 x^{4} + 4 x^{2} + 8 x + 14$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.5 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 26 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 26 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.6 |
$8$ |
$x^{8} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 26$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.7 |
$8$ |
$x^{8} + 4 x^{6} + 18 x^{4} + 8 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 18 x^{4} + 8 x^{2} + 18$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.8 |
$8$ |
$x^{8} + 8 x^{5} + 10 x^{4} + 16 x^{3} + 24 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 10 x^{4} + 16 x^{3} + 24 x^{2} + 26$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.45 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 26 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 26 x^{4} + 16 x^{2} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.46 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 2 x^{4} + 16 x^{2} + 16 x + 2$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 2 x^{4} + 16 x^{2} + 16 x + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.47 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 18 x^{4} + 16 x^{2} + 26$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 18 x^{4} + 16 x^{2} + 26$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.48 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 10$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 10$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.85 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 24 x^{2} + 16 x + 6$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 24 x^{2} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.86 |
$8$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 2 x^{4} + 8 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 12 x^{6} + 2 x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.87 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 26 x^{4} + 30$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 26 x^{4} + 30$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.88 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 26 x^{4} + 24 x^{2} + 6$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 26 x^{4} + 24 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.117 |
$8$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 26 x^{4} + 22$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 8 x^{5} + 26 x^{4} + 22$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.118 |
$8$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 16 x + 6$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.119 |
$8$ |
$x^{8} + 8 x^{5} + 2 x^{4} + 6$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 2 x^{4} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.27.120 |
$8$ |
$x^{8} + 4 x^{6} + 26 x^{4} + 16 x^{3} + 16 x + 6$ |
$2$ |
$8$ |
$1$ |
$27$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[2, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 26 x^{4} + 16 x^{3} + 16 x + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
2.8.28.73 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{2} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.74 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 16 x^{3} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 16 x^{3} + 24 x^{2} + 18$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.75 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 16 x^{4} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 16 x^{4} + 24 x^{2} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.76 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{2} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.77 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 16 x^{3} + 24 x^{2} + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 16 x^{3} + 24 x^{2} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.78 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 16 x^{4} + 24 x^{2} + 18$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 16 x^{4} + 24 x^{2} + 18$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.79 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 24 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 24 x^{4} + 26$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.80 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 8 x^{4} + 16 x^{3} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 8 x^{4} + 16 x^{3} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.105 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 4 x^{4} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 4 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.106 |
$8$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 20 x^{4} + 16 x + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 4 x^{6} + 8 x^{5} + 20 x^{4} + 16 x + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.107 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 16 x^{2} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.108 |
$8$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 4 x^{4} + 26$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 12 x^{6} + 8 x^{5} + 4 x^{4} + 26$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.109 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 16 x^{3} + 10$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{4} + 16 x^{3} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
2.8.28.110 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 28 x^{4} + 16 x^{2} + 2$ |
$2$ |
$8$ |
$1$ |
$28$ |
$Z_8 : Z_8^\times$ (as 8T15) |
$2$ |
$1$ |
$[3, 7/2, 9/2]$ |
$[2, 3, 7/2, 9/2]^{2}$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 28 x^{4} + 16 x^{2} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |