| 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 |
| 2.1.16.66i1.1 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.2 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.3 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.4 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.5 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.6 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.7 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.8 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.9 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.10 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.11 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.12 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.13 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.14 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.15 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.16 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5.(C_2\times D_4)$ (as 16T995) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.49 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.50 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.51 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.52 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.53 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.54 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.55 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.56 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.57 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.58 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.59 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.60 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.61 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.62 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.63 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.64 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.65 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.66 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.67 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.68 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.69 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.70 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.71 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.72 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.73 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.74 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.75 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.76 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.77 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.78 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.79 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.80 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6.D_4$ (as 16T940) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.81 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5:\SD_{16}$ (as 16T993) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.82 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^5:\SD_{16}$ (as 16T993) |
$2$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]^{2}$ |
$[2,2,4,\frac{17}{4}]^{2}$ |
$[1,1,3,\frac{13}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
