| 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 |
| 2.1.16.66g1.1 |
$16$ |
$x^{16} + 2 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.2 |
$16$ |
$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.3 |
$16$ |
$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.4 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.5 |
$16$ |
$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.6 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.7 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.8 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.9 |
$16$ |
$x^{16} + 18 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 18 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.10 |
$16$ |
$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.11 |
$16$ |
$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.12 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.13 |
$16$ |
$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.14 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.15 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.16 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.17 |
$16$ |
$x^{16} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.18 |
$16$ |
$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.19 |
$16$ |
$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.20 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.21 |
$16$ |
$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.22 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.23 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.24 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.25 |
$16$ |
$x^{16} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.26 |
$16$ |
$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.27 |
$16$ |
$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.28 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.29 |
$16$ |
$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.30 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.31 |
$16$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.32 |
$16$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times D_4^2).D_4$ (as 16T1357) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{6} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.97 |
$16$ |
$x^{16} + 8 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.98 |
$16$ |
$x^{16} + 24 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.99 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.100 |
$16$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.101 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.102 |
$16$ |
$x^{16} + 24 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.103 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.104 |
$16$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 16 x^{9} + 2 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.105 |
$16$ |
$x^{16} + 8 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.106 |
$16$ |
$x^{16} + 24 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.107 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.108 |
$16$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.109 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.110 |
$16$ |
$x^{16} + 24 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.111 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.112 |
$16$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 16 x^{13} + 16 x^{9} + 18 x^{8} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.113 |
$16$ |
$x^{16} + 8 x^{14} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
| 2.1.16.66g1.114 |
$16$ |
$x^{16} + 24 x^{14} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:C_4\wr C_2$ (as 16T1429) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{9}{2}, \frac{39}{8}]$ |
$[1,\frac{5}{2},\frac{7}{2},\frac{31}{8}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{9}{2}, \frac{19}{4}, \frac{39}{8}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{7}{2},\frac{15}{4},\frac{31}{8}]^{2}$ |
$[2,3,\frac{7}{2},4,\frac{17}{4},\frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 24 x^{14} + 2 x^{8} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 40, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |