| 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 |
| 2.1.16.64j1.73 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.74 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.75 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.76 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.77 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.78 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.79 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.80 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.89 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.90 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.91 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.92 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.93 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.94 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.95 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.96 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.97 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.98 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.99 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.100 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.101 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T930) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.102 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T930) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.103 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T930) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.104 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T930) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.113 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.114 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.115 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.116 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.117 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T930) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.118 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T930) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.119 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T930) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.120 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T930) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.129 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.130 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.131 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.132 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.133 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.134 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.135 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.136 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.145 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.146 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.147 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.148 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.149 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.150 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.151 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.152 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^4.(C_4\times D_4)$ (as 16T824) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.169 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.170 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^5.(C_2\times D_4)$ (as 16T874) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[3,3,4,4]^{2}$ |
$[2,2,3,3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
