| 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 |
| 2.2.8.40b1.8 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$40$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2}]^{2}$ |
$[3]$ |
$[2]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 t x^{4} + 8 x + 2$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 11, 19]$ |
| 2.2.8.40b1.68 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 8 x ( x^{2} + x + 1 )^{4} + 6$ |
$2$ |
$2$ |
$8$ |
$40$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 2, \frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$[2, 2, 3, \frac{7}{2}]^{2}$ |
$[1,1,2,\frac{5}{2}]^{2}$ |
$[3]$ |
$[2]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{6} + 4 x^{5} + 8 t x^{4} + 6$ |
$[13, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 11, 19]$ |
| 2.2.8.48c1.125 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 x^{6} + 8 x^{5} + 2 x^{4} + 4 x^{2} + 8 x + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 23]$ |
| 2.2.8.48c1.126 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 x ( x^{2} + x + 1 )^{7} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 4 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + 4 x^{6} + 8 x^{5} + 2 x^{4} + 4 x^{2} + 8 x + 16 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 23]$ |
| 2.2.8.48c1.141 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 )^{2} + 8 ( x^{2} + x + 1 ) + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 16 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 23]$ |
| 2.2.8.48c1.181 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{6} + 8 ( x^{2} + x + 1 )^{5} + 2 ( x^{2} + x + 1 )^{4} + 8 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 )^{2} + 8 x + 2$ |
$2$ |
$2$ |
$8$ |
$48$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{7} + 4 x^{6} + 2 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 8 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 23]$ |
| 2.2.8.62a1.1292 |
$16$ |
$( x^{2} + x + 1 )^{8} + 16 ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{2} + 16 ( x^{2} + x + 1 ) + 32 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 16 x^{5} + 8 x^{2} + 16 x + 32 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1293 |
$16$ |
$( x^{2} + x + 1 )^{8} + 16 x ( x^{2} + x + 1 )^{7} + 16 ( x^{2} + x + 1 )^{5} + 8 ( x^{2} + x + 1 )^{2} + 16 ( x^{2} + x + 1 ) + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 16 t x^{7} + 16 x^{5} + 8 x^{2} + 16 x + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1620 |
$16$ |
$( x^{2} + x + 1 )^{8} + 8 ( x^{2} + x + 1 )^{6} + 16 ( x^{2} + x + 1 )^{5} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 ( x^{2} + x + 1 ) + 32 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 8 x^{2} + 16 x + 32 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.2.8.62a1.1622 |
$16$ |
$( x^{2} + x + 1 )^{8} + 16 x ( x^{2} + x + 1 )^{7} + 8 ( x^{2} + x + 1 )^{6} + 16 ( x^{2} + x + 1 )^{5} + 16 ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 ( x^{2} + x + 1 ) + 32 x + 2$ |
$2$ |
$2$ |
$8$ |
$62$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[3, 4, 5]$ |
$[2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[2]$ |
$[1]$ |
$8$ |
$t^{2} + t + 1$ |
$x^{8} + 16 t x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 8 x^{2} + 16 x + 32 t + 2$ |
$[24, 16, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15]$ |
| 2.1.16.58m1.481 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 23, 39, 55]$ |
| 2.1.16.58m1.492 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 23, 39, 55]$ |
| 2.1.16.58m1.494 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 23, 39, 55]$ |
| 2.1.16.58m1.524 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 23, 39, 55]$ |
| 2.1.16.58m1.708 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 8 x^{2} + 16 x + 10$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.58m1.730 |
$16$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 10$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.58m1.740 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 4 x^{4} + 8 x^{2} + 16 x + 10$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.58m1.743 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 4 x^{12} + 8 x^{11} + 10 x^{8} + 16 x^{5} + 4 x^{4} + 8 x^{2} + 16 x + 10$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 14, 32, 48]$ |
| 2.1.16.58m1.836 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 2 x^{8} + 4 x^{4} + 16 x^{3} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 2 x^{8} + 4 x^{4} + 16 x^{3} + 16 x + 6$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58m1.840 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 16 x + 6$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58m1.872 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 10 x^{8} + 16 x^{7} + 4 x^{4} + 16 x^{3} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 10 x^{8} + 16 x^{7} + 4 x^{4} + 16 x^{3} + 16 x + 6$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58m1.875 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 10 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 10 x^{8} + 4 x^{4} + 6$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58m1.1052 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 2 x^{8} + 4 x^{4} + 16 x^{3} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 2 x^{8} + 4 x^{4} + 16 x^{3} + 16 x + 14$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58m1.1058 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 14$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 2 x^{8} + 16 x^{7} + 4 x^{4} + 14$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58m1.1088 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 10 x^{8} + 16 x^{7} + 4 x^{4} + 16 x^{3} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 10 x^{8} + 16 x^{7} + 4 x^{4} + 16 x^{3} + 16 x + 14$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58m1.1089 |
$16$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 10 x^{8} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$58$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]$ |
$[1,2,\frac{5}{2},\frac{7}{2}]$ |
$[2, 3, \frac{7}{2}, \frac{9}{2}]^{2}$ |
$[1,2,\frac{5}{2},\frac{7}{2}]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 4 x^{14} + 8 x^{13} + 8 x^{11} + 10 x^{8} + 16 x^{5} + 4 x^{4} + 16 x^{3} + 16 x + 14$ |
$[43, 30, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.64g1.581 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 11, 27, 43, 59]$ |
| 2.1.16.64g1.589 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 11, 27, 43, 59]$ |
| 2.1.16.64g1.590 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 11, 27, 43, 59]$ |
| 2.1.16.64g1.636 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 18$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 11, 27, 43, 59]$ |
| 2.1.16.64g1.643 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 18$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 11, 27, 43, 59]$ |
| 2.1.16.64g1.644 |
$16$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 8 x^{14} + 16 x^{13} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 18$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 11, 27, 43, 59]$ |
| 2.1.16.64g1.1183 |
$16$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 10$ |
$2$ |
$1$ |
$16$ |
$64$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{15} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 10$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 32, 48]$ |
| 2.1.16.64g1.1236 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 26$ |
$2$ |
$1$ |
$16$ |
$64$ |
$Q_{16}:C_2$ (as 16T50) |
$2$ |
$1$ |
$[2, 3, 4, 5]$ |
$[1,2,3,4]$ |
$[2, 3, 4, 5]^{2}$ |
$[1,2,3,4]^{2}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$8$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 26$ |
$[49, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 32, 48]$ |
