| Label |
$n$ |
Polynomial |
$p$ |
$f$ |
$e$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible Artin slopes |
Visible Swan slopes |
Artin slope content |
Swan slope content |
Hidden Artin slopes |
Hidden Swan slopes |
$\#\Aut(K/\Q_p)$ |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
Resid. Poly |
Jump Set |
| 2.2.4.22a1.37 |
$8$ |
$( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$4$ |
$22$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 3, 4]^{2}$ |
$[1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.2.4.22a1.38 |
$8$ |
$( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + 4 x ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$4$ |
$22$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[3, 4]$ |
$[2,3]$ |
$[2, 3, 4]^{2}$ |
$[1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$2$ |
$t^{2} + t + 1$ |
$x^{4} + \left(4 t + 4\right) x^{2} + 8 t x + 2$ |
$[8, 4, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 3, 7]$ |
| 2.1.8.16c1.3 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 2$ |
$2$ |
$1$ |
$8$ |
$16$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[2, 2, \frac{5}{2}]$ |
$[1,1,\frac{3}{2}]$ |
$[2, 2, \frac{5}{2}]^{2}$ |
$[1,1,\frac{3}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 2$ |
$[9, 6, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 9, 17]$ |
| 2.1.8.16c1.6 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 6$ |
$2$ |
$1$ |
$8$ |
$16$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[2, 2, \frac{5}{2}]$ |
$[1,1,\frac{3}{2}]$ |
$[2, 2, \frac{5}{2}]^{2}$ |
$[1,1,\frac{3}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{3} + 4 x + 6$ |
$[9, 6, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.1.8.18b1.4 |
$8$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 2$ |
$2$ |
$1$ |
$8$ |
$18$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3]^{2}$ |
$[1,1,2]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 2$ |
$[11, 6, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 13, 21]$ |
| 2.1.8.18b1.12 |
$8$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ |
$2$ |
$1$ |
$8$ |
$18$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3]^{2}$ |
$[1,1,2]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ |
$[11, 6, 6, 0]$ |
$[2, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.1.8.24c1.43 |
$8$ |
$x^{8} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$2$ |
$1$ |
$8$ |
$24$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 4]^{2}$ |
$[1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.24c1.44 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$2$ |
$1$ |
$8$ |
$24$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 3, 4]^{2}$ |
$[1,2,3]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.31 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$8$ |
$27$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[3]$ |
$[2]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 16 x^{3} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 21]$ |
| 2.1.8.27a1.32 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 26 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$8$ |
$27$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[3]$ |
$[2]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 26 x^{4} + 16 x^{3} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 21]$ |
| 2.1.8.27a1.59 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 10 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$27$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[3]$ |
$[2]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 10 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 21]$ |
| 2.1.8.27a1.60 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 26 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$27$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[3]$ |
$[2]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 26 x^{4} + 2$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 21]$ |
| 2.1.8.27a1.94 |
$8$ |
$x^{8} + 8 x^{5} + 10 x^{4} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[3]$ |
$[2]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 10 x^{4} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.95 |
$8$ |
$x^{8} + 8 x^{5} + 26 x^{4} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[3]$ |
$[2]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{5} + 26 x^{4} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.111 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[3]$ |
$[2]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 10 x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.27a1.112 |
$8$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 26 x^{4} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$8$ |
$27$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[3]$ |
$[2]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 8 x^{5} + 26 x^{4} + 8 x^{2} + 6$ |
$[20, 12, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 16]$ |
| 2.1.8.28a1.15 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.16 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 8 x^{2} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.31 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 8 x^{4} + 8 x^{2} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.32 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 8 x^{2} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 24 x^{4} + 8 x^{2} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.35 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.36 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 20 x^{4} + 2$ |
$2$ |
$1$ |
$8$ |
$28$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 20 x^{4} + 2$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.51 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.28a1.52 |
$8$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 20 x^{4} + 10$ |
$2$ |
$1$ |
$8$ |
$28$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 20 x^{4} + 10$ |
$[21, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.69 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[3, 4, 5]^{2}$ |
$[2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.70 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[3, 4, 5]^{2}$ |
$[2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.75 |
$8$ |
$x^{8} + 16 x^{5} + 10$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.86 |
$8$ |
$x^{8} + 16 x^{5} + 26$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 16 x^{5} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.101 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{3} + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.110 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{3} + 26$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.121 |
$8$ |
$x^{8} + 8 x^{2} + 16 x + 10$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[3, 4, 5]^{2}$ |
$[2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{2} + 16 x + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.122 |
$8$ |
$x^{8} + 16 x^{7} + 8 x^{2} + 16 x + 10$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[3, 4, 5]^{2}$ |
$[2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{2} + 16 x + 10$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.195 |
$8$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.203 |
$8$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 18$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 18$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.212 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.8.31a1.220 |
$8$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 18$ |
$2$ |
$1$ |
$8$ |
$31$ |
$QD_{16}$ (as 8T8) |
$1$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2]$ |
$[1]$ |
$2$ |
$t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 18$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 3.1.8.7a1.1 |
$8$ |
$x^{8} + 3$ |
$3$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 3$ |
$[0]$ |
$[2]$ |
$z^7 + 2 z^6 + z^5 + 2 z^4 + z^3 + 2 z^2 + z + 2$ |
$[4]$ |
| 3.1.8.7a1.2 |
$8$ |
$x^{8} + 6$ |
$3$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 1$ |
$x^{8} + 6$ |
$[0]$ |
$[2]$ |
$z^7 + 2 z^6 + z^5 + 2 z^4 + z^3 + 2 z^2 + z + 2$ |
undefined |
| 11.1.8.7a1.1 |
$8$ |
$x^{8} + 11$ |
$11$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 9$ |
$x^{8} + 11$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 6 z^5 + z^4 + 4 z^3 + z^2 + 6 z + 8$ |
undefined |
| 11.1.8.7a1.2 |
$8$ |
$x^{8} + 22$ |
$11$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 9$ |
$x^{8} + 22$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 6 z^5 + z^4 + 4 z^3 + z^2 + 6 z + 8$ |
undefined |
| 19.1.8.7a1.1 |
$8$ |
$x^{8} + 19$ |
$19$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 17$ |
$x^{8} + 19$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 9 z^5 + 18 z^4 + 13 z^3 + 18 z^2 + 9 z + 8$ |
undefined |
| 19.1.8.7a1.2 |
$8$ |
$x^{8} + 38$ |
$19$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 17$ |
$x^{8} + 38$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 9 z^5 + 18 z^4 + 13 z^3 + 18 z^2 + 9 z + 8$ |
undefined |
| 43.1.8.7a1.1 |
$8$ |
$x^{8} + 43$ |
$43$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 40$ |
$x^{8} + 43$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 13 z^4 + 27 z^3 + 13 z^2 + 28 z + 8$ |
undefined |
| 43.1.8.7a1.2 |
$8$ |
$x^{8} + 129$ |
$43$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 40$ |
$x^{8} + 129$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 13 z^4 + 27 z^3 + 13 z^2 + 28 z + 8$ |
undefined |
| 59.1.8.7a1.1 |
$8$ |
$x^{8} + 59$ |
$59$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 57$ |
$x^{8} + 59$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 11 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 59.1.8.7a1.2 |
$8$ |
$x^{8} + 118$ |
$59$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 57$ |
$x^{8} + 118$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 11 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 67.1.8.7a1.1 |
$8$ |
$x^{8} + 67$ |
$67$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 65$ |
$x^{8} + 67$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 3 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 67.1.8.7a1.2 |
$8$ |
$x^{8} + 134$ |
$67$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 65$ |
$x^{8} + 134$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 3 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 83.1.8.7a1.1 |
$8$ |
$x^{8} + 83$ |
$83$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 81$ |
$x^{8} + 83$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 83.1.8.7a1.2 |
$8$ |
$x^{8} + 166$ |
$83$ |
$1$ |
$8$ |
$7$ |
$QD_{16}$ (as 8T8) |
$2$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{2}$ |
$[\ ]_{8}^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$2$ |
$t + 81$ |
$x^{8} + 166$ |
$[0]$ |
$[2]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
