| 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 |
| 2.2.8.52c5.588 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + 4 t x^{4} + 8 t x^{3} + 8 x^{2} + 16 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c5.592 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + 4 t x^{4} + 8 t x^{3} + 8 x^{2} + 16 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c5.608 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 12\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + \left(4 t + 8\right) x^{4} + 8 t x^{3} + 8 x^{2} + 16 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c5.612 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{5} + \left(4 x + 12\right) ( x^{2} + x + 1 )^{4} + 8 x ( x^{2} + x + 1 )^{3} + 8 x ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + 8 t x^{5} + \left(4 t + 8\right) x^{4} + 8 t x^{3} + 8 x^{2} + 16 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c5.628 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + 8 x^{5} + \left(4 t + 8\right) x^{4} + 8 t x^{3} + \left(8 t + 8\right) x^{2} + 16 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c5.632 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{4} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + 8 x^{5} + \left(4 t + 8\right) x^{4} + 8 t x^{3} + \left(8 t + 8\right) x^{2} + 16 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c5.648 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 4\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + \left(4 x + 12\right) ( x^{2} + x + 1 )^{4} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + \left(8 t + 8\right) x^{7} + \left(4 t + 4\right) x^{6} + 8 x^{5} + 4 t x^{4} + 8 t x^{3} + \left(8 t + 8\right) x^{2} + 16 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.2.8.52c5.652 |
$16$ |
$( x^{2} + x + 1 )^{8} + \left(8 x + 12\right) ( x^{2} + x + 1 )^{7} + \left(4 x + 4\right) ( x^{2} + x + 1 )^{6} + 4 ( x^{2} + x + 1 )^{5} + \left(4 x + 12\right) ( x^{2} + x + 1 )^{4} + \left(8 x + 8\right) ( x^{2} + x + 1 )^{3} + 8 ( x^{2} + x + 1 )^{2} + 16 x + 2$ |
$2$ |
$2$ |
$8$ |
$52$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[3, \frac{7}{2}, 4]$ |
$[2,\frac{5}{2},3]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3]^{2}$ |
$[2,2,\frac{7}{2}]$ |
$[1,1,\frac{5}{2}]$ |
$4$ |
$t^{2} + t + 1$ |
$x^{8} + 8 t x^{7} + \left(4 t + 4\right) x^{6} + 8 x^{5} + 4 t x^{4} + 8 t x^{3} + \left(8 t + 8\right) x^{2} + 16 t + 2$ |
$[19, 14, 8, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + t,t z + (t + 1)$ |
$[1, 3, 7, 15]$ |
| 2.1.16.58n1.669 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 6$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.670 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 6$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.671 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 6$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.672 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 22$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 22$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.673 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 22$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 22$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.674 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 22$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 22$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.675 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 6$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 6$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.676 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 22$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 22$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.777 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 14$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.778 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 14$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.779 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 14$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.780 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 30$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 8 x^{2} + 16 x + 30$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.781 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 30$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 30$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.782 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 30$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 20 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 30$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.791 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 14$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 14$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.58n1.792 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 30$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4:Q_8$ (as 16T333) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[3,\frac{7}{2}]^{2}$ |
$[2,\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 30$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 4, 8, 32]$ |
