| 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 |
| 2.1.16.42b4.7 |
$16$ |
$x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{4}$ |
$[1,1,1,2,\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{3} + 2$ |
$[27, 14, 12, 8, 0]$ |
$[4, 1]$ |
$z^{14} + z^6 + z^2 + 1,z + 1$ |
$[1, 2, 7, 23, 39]$ |
| 2.1.16.42b4.21 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{4}$ |
$[1,1,1,2,\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 2$ |
$[27, 14, 12, 8, 0]$ |
$[4, 1]$ |
$z^{14} + z^6 + z^2 + 1,z + 1$ |
$[1, 2, 7, 23, 39]$ |
| 2.1.16.42b4.81 |
$16$ |
$x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{4}$ |
$[1,1,1,2,\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 8 x^{7} + 8 x^{3} + 6$ |
$[27, 14, 12, 8, 0]$ |
$[4, 1]$ |
$z^{14} + z^6 + z^2 + 1,z + 1$ |
$[1, 2, 7, 14, 32]$ |
| 2.1.16.42b4.93 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$ |
$2$ |
$1$ |
$16$ |
$42$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, 2, \frac{7}{2}]$ |
$[1,1,1,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{4}$ |
$[1,1,1,2,\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{14} + 2 x^{12} + 4 x^{11} + 2 x^{8} + 6$ |
$[27, 14, 12, 8, 0]$ |
$[4, 1]$ |
$z^{14} + z^6 + z^2 + 1,z + 1$ |
$[1, 2, 7, 14, 32]$ |
| 2.1.16.46k1.1 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{12} + 4 x^{6} + 2$ |
$2$ |
$1$ |
$16$ |
$46$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, 3, \frac{7}{2}]$ |
$[1,1,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{4}$ |
$[1,1,1,2,\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{12} + 4 x^{6} + 2$ |
$[31, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 31, 47]$ |
| 2.1.16.46k1.2 |
$16$ |
$x^{16} + 4 x^{15} + 2 x^{12} + 8 x^{7} + 4 x^{6} + 2$ |
$2$ |
$1$ |
$16$ |
$46$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, 3, \frac{7}{2}]$ |
$[1,1,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{4}$ |
$[1,1,1,2,\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 2 x^{12} + 8 x^{7} + 4 x^{6} + 2$ |
$[31, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 31, 47]$ |
| 2.1.16.46k1.129 |
$16$ |
$x^{16} + 4 x^{15} + 4 x^{14} + 2 x^{12} + 4 x^{6} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$46$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, 3, \frac{7}{2}]$ |
$[1,1,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{4}$ |
$[1,1,1,2,\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 4 x^{14} + 2 x^{12} + 4 x^{6} + 8 x^{3} + 6$ |
$[31, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.46k1.130 |
$16$ |
$x^{16} + 4 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$46$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, 3, \frac{7}{2}]$ |
$[1,1,2,\frac{5}{2}]$ |
$[2, 2, 2, 3, \frac{7}{2}]^{4}$ |
$[1,1,1,2,\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{15} + 4 x^{14} + 2 x^{12} + 8 x^{7} + 4 x^{6} + 8 x^{3} + 6$ |
$[31, 22, 12, 12, 0]$ |
$[2, 1, 1]$ |
$z^{12} + 1,z^2 + 1,z + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.48d1.25 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{5} + 8 x^{2} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}, \frac{7}{2}]$ |
$[1,1,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{5} + 8 x^{2} + 8 x + 2$ |
$[33, 28, 12, 12, 0]$ |
$[2, 2]$ |
$z^{12} + 1,z^3 + 1$ |
$[1, 3, 11, 27, 43]$ |
| 2.1.16.48d1.26 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{8} + 8 x^{5} + 8 x^{2} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}, \frac{7}{2}]$ |
$[1,1,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{8} + 8 x^{5} + 8 x^{2} + 8 x + 2$ |
$[33, 28, 12, 12, 0]$ |
$[2, 2]$ |
$z^{12} + 1,z^3 + 1$ |
$[1, 3, 11, 27, 43]$ |
| 2.1.16.48d1.53 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{6} + 8 x^{2} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}, \frac{7}{2}]$ |
$[1,1,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{6} + 8 x^{2} + 8 x + 2$ |
$[33, 28, 12, 12, 0]$ |
$[2, 2]$ |
$z^{12} + 1,z^3 + 1$ |
$[1, 3, 11, 27, 43]$ |
| 2.1.16.48d1.54 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{8} + 8 x^{6} + 8 x^{2} + 8 x + 2$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}, \frac{7}{2}]$ |
$[1,1,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{8} + 8 x^{6} + 8 x^{2} + 8 x + 2$ |
$[33, 28, 12, 12, 0]$ |
$[2, 2]$ |
$z^{12} + 1,z^3 + 1$ |
$[1, 3, 11, 27, 43]$ |
| 2.1.16.48d1.87 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{7} + 8 x^{6} + 8 x^{2} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}, \frac{7}{2}]$ |
$[1,1,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{7} + 8 x^{6} + 8 x^{2} + 8 x + 6$ |
$[33, 28, 12, 12, 0]$ |
$[2, 2]$ |
$z^{12} + 1,z^3 + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.48d1.88 |
$16$ |
$x^{16} + 2 x^{12} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{2} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}, \frac{7}{2}]$ |
$[1,1,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{2} + 8 x + 6$ |
$[33, 28, 12, 12, 0]$ |
$[2, 2]$ |
$z^{12} + 1,z^3 + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.48d1.127 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}, \frac{7}{2}]$ |
$[1,1,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 6$ |
$[33, 28, 12, 12, 0]$ |
$[2, 2]$ |
$z^{12} + 1,z^3 + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.48d1.128 |
$16$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 6$ |
$2$ |
$1$ |
$16$ |
$48$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 2, \frac{7}{2}, \frac{7}{2}]$ |
$[1,1,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[3]^{4}$ |
$[2]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 2 x^{12} + 8 x^{8} + 8 x^{7} + 8 x^{6} + 8 x^{5} + 8 x^{2} + 8 x + 6$ |
$[33, 28, 12, 12, 0]$ |
$[2, 2]$ |
$z^{12} + 1,z^3 + 1$ |
$[1, 3, 6, 12, 32]$ |
| 2.1.16.50o1.27 |
$16$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[1,2,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 2$ |
$[35, 35, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.50o1.28 |
$16$ |
$x^{16} + 4 x^{12} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[1,2,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 2$ |
$[35, 35, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.50o1.37 |
$16$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[1,2,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[35, 34, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.50o1.38 |
$16$ |
$x^{16} + 4 x^{12} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[1,2,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[35, 34, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.50o1.45 |
$16$ |
$x^{16} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[1,2,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 6$ |
$[35, 35, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.50o1.46 |
$16$ |
$x^{16} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 6$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[1,2,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 10 x^{8} + 8 x^{5} + 4 x^{4} + 8 x^{3} + 6$ |
$[35, 35, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.50o1.51 |
$16$ |
$x^{16} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[1,2,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 6$ |
$[35, 34, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.50o1.52 |
$16$ |
$x^{16} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$50$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{7}{2}]$ |
$[1,2,\frac{5}{2},\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}]^{4}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2}]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 10 x^{8} + 8 x^{7} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 6$ |
$[35, 34, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.52k1.69 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 15, 31, 47]$ |
| 2.1.16.52k1.70 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 2$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 15, 31, 47]$ |
| 2.1.16.52k1.85 |
$16$ |
$x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 2$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 15, 31, 47]$ |
| 2.1.16.52k1.86 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 2$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 5, 15, 31, 47]$ |
| 2.1.16.52k1.177 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 6$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 6$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.52k1.178 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 6$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{11} + 4 x^{10} + 2 x^{8} + 8 x^{5} + 6$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.52k1.321 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.52k1.322 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$ |
$2$ |
$1$ |
$16$ |
$52$ |
$C_2^4.D_4$ (as 16T297) |
$4$ |
$1$ |
$[2, 3, 3, 4]$ |
$[1,2,2,3]$ |
$[2, 2, 3, 3, 4]^{4}$ |
$[1,1,2,2,3]^{4}$ |
$[2]^{4}$ |
$[1]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 4 x^{12} + 4 x^{10} + 2 x^{8} + 8 x^{7} + 8 x^{5} + 6$ |
$[37, 26, 24, 8, 0]$ |
$[1, 2, 1]$ |
$z^8 + 1,z^6 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64j1.105 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.106 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.123 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.124 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.161 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.162 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.179 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.180 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.367 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.368 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.381 |
$16$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.382 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.421 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.422 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.439 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.440 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.675 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.676 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.D_4$ (as 16T297) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,4]^{2}$ |
$[2,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
