| 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 |
| 2.1.16.66i1.17 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.18 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.19 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.20 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.21 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.22 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.23 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.24 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.25 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.26 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.27 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.28 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.29 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.30 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.31 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.32 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.33 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.34 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.35 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.36 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.37 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.38 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.39 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.40 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.41 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.42 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.43 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.44 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.45 |
$16$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.46 |
$16$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.47 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.48 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T339) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.97 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.98 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.99 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.100 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.101 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.102 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.103 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.104 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.105 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.106 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.107 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.108 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.109 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.110 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.111 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.112 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{8} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.113 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66i1.114 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 16 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^3.D_8$ (as 16T330) |
$1$ |
$1$ |
$[3, \frac{7}{2}, \frac{9}{2}, \frac{19}{4}]$ |
$[2,\frac{5}{2},\frac{7}{2},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}]$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4}]$ |
$[2,4,\frac{17}{4}]$ |
$[1,3,\frac{13}{4}]$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 8 x^{10} + 16 x^{6} + 16 x^{3} + 16 x^{2} + 2$ |
$[51, 42, 28, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
