| 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 |
| 2.1.16.66g1.33 |
$16$ |
$x^{16} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.34 |
$16$ |
$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.35 |
$16$ |
$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.36 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.37 |
$16$ |
$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.38 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.39 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.40 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.41 |
$16$ |
$x^{16} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.42 |
$16$ |
$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.43 |
$16$ |
$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.44 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.45 |
$16$ |
$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.46 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.47 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.48 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.49 |
$16$ |
$x^{16} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.50 |
$16$ |
$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.51 |
$16$ |
$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.52 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.53 |
$16$ |
$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.54 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.55 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.56 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.57 |
$16$ |
$x^{16} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.58 |
$16$ |
$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.59 |
$16$ |
$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.60 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.61 |
$16$ |
$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.62 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.63 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.64 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.257 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.258 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.259 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.260 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.261 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.262 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.263 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.264 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.265 |
$16$ |
$x^{16} + 8 x^{10} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.266 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.267 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.268 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.269 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.270 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.271 |
$16$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.272 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1282) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 8 x^{10} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.273 |
$16$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1253) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.274 |
$16$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_8$ (as 16T1253) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 8 x^{10} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
