| 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 |
| 2.1.16.56l1.73 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.74 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.75 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.76 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.89 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.90 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.91 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.92 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.117 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.118 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.119 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.120 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.125 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.126 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.127 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.128 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^4.D_8$ (as 16T686) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,2,2,\frac{5}{2},3,3]^{4}$ |
$[3,\frac{7}{2}]^{4}$ |
$[2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.401 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.402 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.403 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.404 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.405 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.406 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.407 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.408 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.409 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.410 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.411 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.412 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.413 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.414 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.415 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 8 x^{2} + 16 x + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.58n1.416 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$58$ |
$C_2^4.D_8$ (as 16T686) |
$2$ |
$1$ |
$[2, 3, 4, \frac{17}{4}]$ |
$[1,2,3,\frac{13}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4}]^{2}$ |
$[2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 16 x^{3} + 8 x^{2} + 16 x + 2$ |
$[43, 34, 20, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.66g1.209 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.210 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.211 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.212 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.213 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.214 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.215 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.216 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.217 |
$16$ |
$x^{16} + 8 x^{10} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.218 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.219 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.220 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.221 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.222 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.223 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.224 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.225 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.226 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.D_8$ (as 16T686) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]$ |
$[3,4,\frac{17}{4},\frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
