| 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 |
| 2.1.16.71a1.20705 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 10 x^{8} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 10 x^{8} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.20706 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 42 x^{8} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 42 x^{8} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.20707 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 10 x^{8} + 32 x^{7} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 10 x^{8} + 32 x^{7} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.20708 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 42 x^{8} + 32 x^{7} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 42 x^{8} + 32 x^{7} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.20843 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 26 x^{8} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 26 x^{8} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.20844 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 58 x^{8} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 58 x^{8} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.20845 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 26 x^{8} + 32 x^{7} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 26 x^{8} + 32 x^{7} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.20846 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 58 x^{8} + 32 x^{7} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 58 x^{8} + 32 x^{7} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.25308 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 10 x^{8} + 8 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 10 x^{8} + 8 x^{4} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.25309 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 42 x^{8} + 8 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 42 x^{8} + 8 x^{4} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.25310 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 10 x^{8} + 32 x^{7} + 8 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 10 x^{8} + 32 x^{7} + 8 x^{4} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.25311 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 42 x^{8} + 32 x^{7} + 8 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 42 x^{8} + 32 x^{7} + 8 x^{4} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.25460 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 26 x^{8} + 8 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 26 x^{8} + 8 x^{4} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.25461 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 58 x^{8} + 8 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 58 x^{8} + 8 x^{4} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.25462 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 26 x^{8} + 32 x^{7} + 8 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 26 x^{8} + 32 x^{7} + 8 x^{4} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.71a1.25463 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 58 x^{8} + 32 x^{7} + 8 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$71$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 58 x^{8} + 32 x^{7} + 8 x^{4} + 6$ |
$[56, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.72a1.4389 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 2$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.4390 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 36 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 36 x^{8} + 2$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.4395 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 32 x^{5} + 32 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 32 x^{5} + 32 x^{3} + 2$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.4396 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 36 x^{8} + 32 x^{5} + 32 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 36 x^{8} + 32 x^{5} + 32 x^{3} + 2$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.4439 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 20 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 20 x^{8} + 2$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.4440 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 52 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 52 x^{8} + 2$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.4445 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 20 x^{8} + 32 x^{5} + 32 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 20 x^{8} + 32 x^{5} + 32 x^{3} + 2$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.4446 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 52 x^{8} + 32 x^{5} + 32 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 52 x^{8} + 32 x^{5} + 32 x^{3} + 2$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.6439 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 32 x^{5} + 10$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 32 x^{5} + 10$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.6440 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 36 x^{8} + 32 x^{5} + 10$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 36 x^{8} + 32 x^{5} + 10$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.6441 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 32 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 4 x^{8} + 32 x^{3} + 10$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.6442 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 36 x^{8} + 32 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 36 x^{8} + 32 x^{3} + 10$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.6489 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 20 x^{8} + 32 x^{5} + 10$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 20 x^{8} + 32 x^{5} + 10$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.6490 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 52 x^{8} + 32 x^{5} + 10$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 52 x^{8} + 32 x^{5} + 10$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.6491 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 20 x^{8} + 32 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 20 x^{8} + 32 x^{3} + 10$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.72a1.6492 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 52 x^{8} + 32 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$72$ |
$C_{16}:C_4$ (as 16T136) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{11}{2}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{9}{2}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{9}{2}, \frac{11}{2}]$ |
$[1,2,\frac{5}{2},3,\frac{7}{2},\frac{9}{2}]$ |
$[2,4]$ |
$[1,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 52 x^{8} + 32 x^{3} + 10$ |
$[57, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.16153 |
$16$ |
$x^{16} + 8 x^{12} + 32 x^{9} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$2$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[2, 3, 4, 5, 6]^{2}$ |
$[1,2,3,4,5]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{12} + 32 x^{9} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.16154 |
$16$ |
$x^{16} + 32 x^{15} + 8 x^{12} + 32 x^{9} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$2$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[2, 3, 4, 5, 6]^{2}$ |
$[1,2,3,4,5]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{15} + 8 x^{12} + 32 x^{9} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.16155 |
$16$ |
$x^{16} + 32 x^{13} + 8 x^{12} + 32 x^{9} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[3, 4, 5, 6]^{4}$ |
$[2,3,4,5]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{13} + 8 x^{12} + 32 x^{9} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.16156 |
$16$ |
$x^{16} + 32 x^{15} + 32 x^{13} + 8 x^{12} + 32 x^{9} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[3, 4, 5, 6]^{4}$ |
$[2,3,4,5]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{15} + 32 x^{13} + 8 x^{12} + 32 x^{9} + 32 x^{7} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.16393 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{12} + 32 x^{9} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$2$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[2, 3, 4, 5, 6]^{2}$ |
$[1,2,3,4,5]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{12} + 32 x^{9} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.16394 |
$16$ |
$x^{16} + 32 x^{15} + 16 x^{14} + 8 x^{12} + 32 x^{9} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$2$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[2, 3, 4, 5, 6]^{2}$ |
$[1,2,3,4,5]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{15} + 16 x^{14} + 8 x^{12} + 32 x^{9} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.16395 |
$16$ |
$x^{16} + 16 x^{14} + 32 x^{13} + 8 x^{12} + 32 x^{9} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[3, 4, 5, 6]^{4}$ |
$[2,3,4,5]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 32 x^{13} + 8 x^{12} + 32 x^{9} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.16396 |
$16$ |
$x^{16} + 32 x^{15} + 16 x^{14} + 32 x^{13} + 8 x^{12} + 32 x^{9} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[3, 4, 5, 6]^{4}$ |
$[2,3,4,5]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{15} + 16 x^{14} + 32 x^{13} + 8 x^{12} + 32 x^{9} + 16 x^{6} + 32 x^{5} + 8 x^{4} + 32 x^{3} + 16 x^{2} + 32 x + 2$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.27757 |
$16$ |
$x^{16} + 32 x^{11} + 32 x^{9} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[3, 4, 5, 6]^{4}$ |
$[2,3,4,5]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{11} + 32 x^{9} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.27758 |
$16$ |
$x^{16} + 32 x^{15} + 32 x^{11} + 32 x^{9} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[3, 4, 5, 6]^{4}$ |
$[2,3,4,5]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{15} + 32 x^{11} + 32 x^{9} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.27759 |
$16$ |
$x^{16} + 32 x^{13} + 32 x^{11} + 32 x^{9} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$2$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[2, 3, 4, 5, 6]^{2}$ |
$[1,2,3,4,5]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{13} + 32 x^{11} + 32 x^{9} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.27760 |
$16$ |
$x^{16} + 32 x^{15} + 32 x^{13} + 32 x^{11} + 32 x^{9} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$2$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[2, 3, 4, 5, 6]^{2}$ |
$[1,2,3,4,5]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{15} + 32 x^{13} + 32 x^{11} + 32 x^{9} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.28029 |
$16$ |
$x^{16} + 16 x^{14} + 32 x^{11} + 32 x^{9} + 32 x^{7} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[3, 4, 5, 6]^{4}$ |
$[2,3,4,5]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 32 x^{11} + 32 x^{9} + 32 x^{7} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.28030 |
$16$ |
$x^{16} + 32 x^{15} + 16 x^{14} + 32 x^{11} + 32 x^{9} + 32 x^{7} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[3, 4, 5, 6]^{4}$ |
$[2,3,4,5]^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{15} + 16 x^{14} + 32 x^{11} + 32 x^{9} + 32 x^{7} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.28031 |
$16$ |
$x^{16} + 16 x^{14} + 32 x^{13} + 32 x^{11} + 32 x^{9} + 32 x^{7} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$2$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[2, 3, 4, 5, 6]^{2}$ |
$[1,2,3,4,5]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 32 x^{13} + 32 x^{11} + 32 x^{9} + 32 x^{7} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.79a1.28032 |
$16$ |
$x^{16} + 32 x^{15} + 16 x^{14} + 32 x^{13} + 32 x^{11} + 32 x^{9} + 32 x^{7} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$2$ |
$1$ |
$16$ |
$79$ |
$C_{16}:C_4$ (as 16T136) |
$2$ |
$1$ |
$[3, 4, 5, 6]$ |
$[2,3,4,5]$ |
$[2, 3, 4, 5, 6]^{2}$ |
$[1,2,3,4,5]^{2}$ |
$[2]^{2}$ |
$[1]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 32 x^{15} + 16 x^{14} + 32 x^{13} + 32 x^{11} + 32 x^{9} + 32 x^{7} + 32 x^{5} + 8 x^{4} + 16 x^{2} + 32 x + 10$ |
$[64, 48, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 3.1.16.15a1.1 |
$16$ |
$x^{16} + 3$ |
$3$ |
$1$ |
$16$ |
$15$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$16$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{16}^{4}$ |
$[\ ]_{16}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 3$ |
$[0]$ |
$[4]$ |
$z^{15} + z^{14} + 2 z^{12} + 2 z^{11} + z^9 + z^8 + z^6 + z^5 + 2 z^3 + 2 z^2 + 1$ |
$[8]$ |
| 3.1.16.15a1.2 |
$16$ |
$x^{16} + 6$ |
$3$ |
$1$ |
$16$ |
$15$ |
$C_{16}:C_4$ (as 16T136) |
$4$ |
$16$ |
$[\ ]$ |
$[\ ]$ |
$[\ ]_{16}^{4}$ |
$[\ ]_{16}^{4}$ |
$[\ ]^{4}$ |
$[\ ]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 6$ |
$[0]$ |
$[4]$ |
$z^{15} + z^{14} + 2 z^{12} + 2 z^{11} + z^9 + z^8 + z^6 + z^5 + 2 z^3 + 2 z^2 + 1$ |
undefined |
