| 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 |
| 2.4.4.24a19.3 |
$16$ |
$( x^{4} + x + 1 )^{4} + 2 x^{3} ( x^{4} + x + 1 )^{3} + 2 x ( x^{4} + x + 1 )^{2} + 4 x + 2$ |
$2$ |
$4$ |
$4$ |
$24$ |
$\OD_{16}:C_2$ (as 16T41) |
$4$ |
$1$ |
$[2, 2]$ |
$[1,1]$ |
$[2, 2, 2]^{4}$ |
$[1,1,1]^{4}$ |
$[2]$ |
$[1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(2 t^{3} + 2\right) x^{3} + 2 t x^{2} + 4 t^{2} + 4 t + 2$ |
$[3, 2, 0]$ |
$[1]$ |
$z^3 + t z + (t^3 + 1)$ |
$[1, 3, 7]$ |
| 2.4.4.32b25.11 |
$16$ |
$( x^{4} + x + 1 )^{4} + 6 ( x^{4} + x + 1 )^{3} + \left(2 x^{2} + 2 x\right) ( x^{4} + x + 1 )^{2} + \left(4 x^{2} + 4 x + 4\right) ( x^{4} + x + 1 ) + 8 x^{3} + 2$ |
$2$ |
$4$ |
$4$ |
$32$ |
$\OD_{16}:C_2$ (as 16T41) |
$4$ |
$1$ |
$[2, 3]$ |
$[1,2]$ |
$[2, 2, 3]^{4}$ |
$[1,1,2]^{4}$ |
$[2]$ |
$[1]$ |
$4$ |
$t^{4} + t + 1$ |
$x^{4} + \left(4 t^{2} + 4\right) x^{3} + \left(2 t^{2} + 2 t\right) x^{2} + \left(4 t^{2} + 4 t + 4\right) x + 8 t^{3} + 2$ |
$[5, 2, 0]$ |
$[1, 1]$ |
$z^2 + (t^2 + t),(t^2 + t) z + (t^2 + t + 1)$ |
$[1, 3, 7]$ |
| 2.2.8.28a10.2 |
$16$ |
$( x^{2} + x + 1 )^{8} + 2 ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 2 ( x^{2} + x + 1 )^{4} + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$28$ |
$\OD_{16}:C_2$ (as 16T41) |
$4$ |
$1$ |
$[2, 2, 2]$ |
$[1,1,1]$ |
$[2, 2, 2]^{4}$ |
$[1,1,1]^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 4 t + 2$ |
$[7, 6, 4, 0]$ |
$[2]$ |
$z^7 + z^3 + z + 1$ |
$[1, 2, 7, 16]$ |
| 2.2.8.36b1.22 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{7} + 2 ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + 4 ( x^{2} + x + 1 )^{3} + 4 ( x^{2} + x + 1 ) + 4 x + 2$ |
$2$ |
$2$ |
$8$ |
$36$ |
$\OD_{16}:C_2$ (as 16T41) |
$4$ |
$1$ |
$[2, 2, 3]$ |
$[1,1,2]$ |
$[2, 2, 3]^{4}$ |
$[1,1,2]^{4}$ |
$[\ ]^{2}$ |
$[\ ]^{2}$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{7} + 2 x^{6} + 4 x^{3} + 4 t + 2$ |
$[11, 6, 6, 0]$ |
$[1, 1]$ |
$z^6 + 1,z + 1$ |
$[1, 3, 6, 16]$ |
| 2.2.8.48c13.635 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$\OD_{16}:C_2$ (as 16T41) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 t x^{4} + 8 x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.636 |
$16$ |
$( x^{2} + x + 1 )^{8} + 6 ( x^{2} + x + 1 )^{6} + \left(4 x + 14\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + 12 ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 24 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$\OD_{16}:C_2$ (as 16T41) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 2 t x^{4} + 8 x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 24 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.729 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 8 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$\OD_{16}:C_2$ (as 16T41) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{6} + 8 x^{5} + 2 t x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 24 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.2.8.48c13.730 |
$16$ |
$( x^{2} + x + 1 )^{8} + 4 ( x^{2} + x + 1 )^{7} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{6} + \left(4 x + 6\right) ( x^{2} + x + 1 )^{5} + 2 x ( x^{2} + x + 1 )^{4} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{3} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{2} + \left(8 x + 8\right) ( x^{2} + x + 1 ) + 24 x + 6$ |
$2$ |
$2$ |
$8$ |
$48$ |
$\OD_{16}:C_2$ (as 16T41) |
$2$ |
$1$ |
$[2, 3, 4]$ |
$[1,2,3]$ |
$[2, 2, 3, 4]^{2}$ |
$[1,1,2,3]^{2}$ |
$[2]$ |
$[1]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 4 t x^{6} + 8 x^{5} + 2 t x^{4} + 8 t x^{3} + \left(4 t + 4\right) x^{2} + 8 t x + 8 t + 2$ |
$[17, 10, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + t,t z^2 + (t + 1),(t + 1) z + t$ |
$[1, 3, 7, 15]$ |
| 2.1.16.66h1.183 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.184 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 34$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 34$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.234 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.235 |
$16$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 50$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 50$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.273 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.274 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 34$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 34$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.325 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 18$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.326 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 50$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 50$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1288 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1289 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 42$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 42$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1339 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1340 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 58$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 58$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1380 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 10$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1381 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 42$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 42$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1432 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 26$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66h1.1433 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 58$ |
$2$ |
$1$ |
$16$ |
$66$ |
$\OD_{16}:C_2$ (as 16T41) |
$1$ |
$1$ |
$[3, \frac{7}{2}, 4, 5]$ |
$[2,\frac{5}{2},3,4]$ |
$[2, 3, \frac{7}{2}, 4, 5]$ |
$[1,2,\frac{5}{2},3,4]$ |
$[2]$ |
$[1]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 8 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 58$ |
$[51, 38, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
