| 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 |
| 2.1.16.64j1.69 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.70 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.85 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.86 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.107 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.108 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.121 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.122 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.137 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.138 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.153 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.154 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.163 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.164 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.177 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.178 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.323 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.324 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.339 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.340 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.365 |
$16$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.366 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.383 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.384 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.397 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.398 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.413 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.414 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.423 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.424 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.437 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.438 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.645 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.646 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.661 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.662 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.673 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.674 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.691 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.692 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.719 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.720 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.735 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.736 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2\wr C_4$ (as 16T166) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.751 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.752 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T143) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.765 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.766 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_4^2:C_4$ (as 16T176) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.833 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.64j1.834 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^3.D_4$ (as 16T148) |
$1$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]$ |
$[3,4]$ |
$[2,3]$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
