| 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 |
| 2.2.8.62a1.1317 |
$16$ |
$( x^{2} + x + 1 )^{8} + 16 ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$C_8.C_4$ (as 16T49) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{2} + 16 x + 16 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1318 |
$16$ |
$( x^{2} + x + 1 )^{8} + 16 x ( x^{2} + x + 1 )^{7} + 16 ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[3, 4, 5]^{4}$ |
$[2,3,4]^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + \left(16 t + 16\right) x^{7} + 8 x^{2} + 16 x + 16 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1319 |
$16$ |
$( x^{2} + x + 1 )^{8} + 16 ( x^{2} + x + 1 )^{7} + 16 ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$C_8.C_4$ (as 16T49) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{2} + 16 x + 16 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1320 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{7} + 16 ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[3, 4, 5]^{4}$ |
$[2,3,4]^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 16 t x^{7} + 8 x^{2} + 16 x + 16 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1641 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{6} + 16 ( x^{2} + x + 1 )^{5} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$C_8.C_4$ (as 16T49) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 8 x^{2} + 16 x + 16 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1642 |
$16$ |
$( x^{2} + x + 1 )^{8} + 16 x ( x^{2} + x + 1 )^{7} + 8 ( x^{2} + x + 1 )^{6} + 16 ( x^{2} + x + 1 )^{5} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[3, 4, 5]^{4}$ |
$[2,3,4]^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + \left(16 t + 16\right) x^{7} + 8 x^{6} + 16 x^{3} + 8 x^{2} + 16 x + 16 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1643 |
$16$ |
$( x^{2} + x + 1 )^{8} + 16 ( x^{2} + x + 1 )^{7} + 8 ( x^{2} + x + 1 )^{6} + 16 ( x^{2} + x + 1 )^{5} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$C_8.C_4$ (as 16T49) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{3} + 8 x^{2} + 16 x + 16 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1644 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(16 x + 16\right) ( x^{2} + x + 1 )^{7} + 8 ( x^{2} + x + 1 )^{6} + 16 ( x^{2} + x + 1 )^{5} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[3, 4, 5]^{4}$ |
$[2,3,4]^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 16 t x^{7} + 8 x^{6} + 16 x^{3} + 8 x^{2} + 16 x + 16 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.16.64g1.3665 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 6$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.3666 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 38$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 38$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.3668 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 6$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.3670 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 6$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.3704 |
$16$ |
$x^{16} + 16 x^{15} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 22$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 22$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.3705 |
$16$ |
$x^{16} + 16 x^{15} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 54$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 54$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.3707 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 22$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 22$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.3708 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 22$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 22$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.4387 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 14$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.4388 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 46$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 46$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.4390 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 14$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.4392 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 14$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.4426 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 30$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 30$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.4427 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 62$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 62$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.4429 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 30$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 30$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.4430 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 30$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_8.C_4$ (as 16T49) |
$1$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[\frac{7}{2}]$ |
$[\frac{5}{2}]$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 30$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 3.2.8.14a1.3 |
$16$ |
$( x^{2} + 2 x + 2 )^{8} + 3 x + 3$ |
$3$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 2 t + 2$ |
$x^{8} + 6 t + 6$ |
$[0]$ |
$[1]$ |
$z^7 + 2 z^6 + z^5 + 2 z^4 + z^3 + 2 z^2 + z + 2$ |
$[4]$ |
| 7.2.8.14a1.4 |
$16$ |
$( x^{2} + 6 x + 3 )^{8} + 7 x + 28$ |
$7$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 6 t + 3$ |
$x^{8} + 14 t + 28$ |
$[0]$ |
$[1]$ |
$z^7 + z^6 + 1$ |
undefined |
| 11.2.8.14a1.5 |
$16$ |
$( x^{2} + 7 x + 2 )^{8} + 44 x + 99$ |
$11$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 7 t + 2$ |
$x^{8} + 44 t + 99$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 6 z^5 + z^4 + 4 z^3 + z^2 + 6 z + 8$ |
undefined |
| 19.2.8.14a1.5 |
$16$ |
$( x^{2} + 18 x + 2 )^{8} + 19 x + 323$ |
$19$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 18 t + 2$ |
$x^{8} + 19 t + 323$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 9 z^5 + 18 z^4 + 13 z^3 + 18 z^2 + 9 z + 8$ |
undefined |
| 23.2.8.14a1.5 |
$16$ |
$( x^{2} + 21 x + 5 )^{8} + 46 x + 414$ |
$23$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 21 t + 5$ |
$x^{8} + 46 t + 414$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 5 z^5 + 10 z^4 + z^3 + 10 z^2 + 5 z + 8$ |
undefined |
| 31.2.8.14a1.4 |
$16$ |
$( x^{2} + 29 x + 3 )^{8} + 62 x + 868$ |
$31$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 29 t + 3$ |
$x^{8} + 62 t + 868$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 25 z^4 + 8 z^3 + 25 z^2 + 28 z + 8$ |
undefined |
| 43.2.8.14a1.5 |
$16$ |
$( x^{2} + 42 x + 3 )^{8} + 43 x + 1720$ |
$43$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 42 t + 3$ |
$x^{8} + 43 t + 1720$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 13 z^4 + 27 z^3 + 13 z^2 + 28 z + 8$ |
undefined |
| 47.2.8.14a1.5 |
$16$ |
$( x^{2} + 45 x + 5 )^{8} + 94 x + 1974$ |
$47$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 45 t + 5$ |
$x^{8} + 94 t + 1974$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 9 z^4 + 23 z^3 + 9 z^2 + 28 z + 8$ |
undefined |
| 59.2.8.14a1.5 |
$16$ |
$( x^{2} + 58 x + 2 )^{8} + 59 x + 3363$ |
$59$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 58 t + 2$ |
$x^{8} + 59 t + 3363$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 11 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 67.2.8.14a1.5 |
$16$ |
$( x^{2} + 63 x + 2 )^{8} + 268 x + 4355$ |
$67$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 63 t + 2$ |
$x^{8} + 1608 t + 469$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 3 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 71.2.8.14a1.4 |
$16$ |
$( x^{2} + 69 x + 7 )^{8} + 142 x + 4544$ |
$71$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 69 t + 7$ |
$x^{8} + 2201 t + 4402$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 79.2.8.14a1.5 |
$16$ |
$( x^{2} + 78 x + 3 )^{8} + 79 x + 6004$ |
$79$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 78 t + 3$ |
$x^{8} + 1264 t + 6004$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 83.2.8.14a1.5 |
$16$ |
$( x^{2} + 82 x + 2 )^{8} + 83 x + 6723$ |
$83$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 82 t + 2$ |
$x^{8} + 83 t + 6723$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 103.2.8.14a1.5 |
$16$ |
$( x^{2} + 102 x + 5 )^{8} + 103 x + 10094$ |
$103$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 102 t + 5$ |
$x^{8} + 5768 t + 4944$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 107.2.8.14a1.5 |
$16$ |
$( x^{2} + 103 x + 2 )^{8} + 428 x + 11235$ |
$107$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 103 t + 2$ |
$x^{8} + 428 t + 11235$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 127.2.8.14a1.5 |
$16$ |
$( x^{2} + 126 x + 3 )^{8} + 127 x + 15748$ |
$127$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 126 t + 3$ |
$x^{8} + 2032 t + 15748$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 131.2.8.14a1.5 |
$16$ |
$( x^{2} + 127 x + 2 )^{8} + 524 x + 16899$ |
$131$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 127 t + 2$ |
$x^{8} + 4716 t + 8515$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 139.2.8.14a1.5 |
$16$ |
$( x^{2} + 138 x + 2 )^{8} + 139 x + 19043$ |
$139$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 138 t + 2$ |
$x^{8} + 139 t + 19043$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 151.2.8.14a1.5 |
$16$ |
$( x^{2} + 149 x + 6 )^{8} + 302 x + 21895$ |
$151$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 149 t + 6$ |
$x^{8} + 302 t + 21895$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 163.2.8.14a1.5 |
$16$ |
$( x^{2} + 159 x + 2 )^{8} + 652 x + 26243$ |
$163$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 159 t + 2$ |
$x^{8} + 652 t + 26243$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 167.2.8.14a1.5 |
$16$ |
$( x^{2} + 166 x + 5 )^{8} + 167 x + 27054$ |
$167$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 166 t + 5$ |
$x^{8} + 9352 t + 18704$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 179.2.8.14a1.3 |
$16$ |
$( x^{2} + 172 x + 2 )^{8} + 1074 x + 13246$ |
$179$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 172 t + 2$ |
$x^{8} + 1074 t + 13246$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 191.2.8.14a1.5 |
$16$ |
$( x^{2} + 190 x + 19 )^{8} + 191 x + 32852$ |
$191$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 190 t + 19$ |
$x^{8} + 10123 t + 24066$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
| 199.2.8.14a1.5 |
$16$ |
$( x^{2} + 193 x + 3 )^{8} + 1194 x + 39004$ |
$199$ |
$2$ |
$8$ |
$14$ |
$C_8.C_4$ (as 16T49) |
$4$ |
$8$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{8}^{4}$ |
$[\ ]_{8}^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t^{2} + 193 t + 3$ |
$x^{8} + 34228 t + 8358$ |
$[0]$ |
$[1]$ |
$z^7 + 8 z^6 + 28 z^5 + 56 z^4 + 70 z^3 + 56 z^2 + 28 z + 8$ |
undefined |
