| 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 |
| 2.1.16.56l1.77 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.78 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.79 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.80 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.93 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.94 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.95 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.96 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.97 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.98 |
$16$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.99 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.100 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 4 x^{12} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.121 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.122 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.123 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.124 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{12} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 2$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 7, 15, 31, 47]$ |
| 2.1.16.56l1.129 |
$16$ |
$x^{16} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.130 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.131 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.132 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.153 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.154 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.155 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.156 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.173 |
$16$ |
$x^{16} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.174 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.175 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.176 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{11} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.189 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.190 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.191 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
| 2.1.16.56l1.192 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$2$ |
$1$ |
$16$ |
$56$ |
$C_2^6.D_4$ (as 16T921) |
$4$ |
$1$ |
$[2, 3, 4, 4]$ |
$[1,2,3,3]$ |
$[2, 2, 3, 3, \frac{7}{2}, 4, 4]^{4}$ |
$[1,1,2,2,\frac{5}{2},3,3]^{4}$ |
$[2,3,\frac{7}{2}]^{4}$ |
$[1,2,\frac{5}{2}]^{4}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 8 x^{11} + 8 x^{10} + 8 x^{9} + 2 x^{8} + 8 x^{6} + 4 x^{4} + 6$ |
$[41, 36, 20, 8, 0]$ |
$[1, 1, 2]$ |
$z^8 + 1,z^4 + 1,z^3 + 1$ |
$[1, 2, 4, 8, 32]$ |
