| 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 |
| 2.1.16.66j1.1 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.(C_4\times D_4)$ (as 16T867) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.2 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.(C_4\times D_4)$ (as 16T867) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.3 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.(C_4\times D_4)$ (as 16T867) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.4 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.(C_4\times D_4)$ (as 16T867) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.5 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):Q_8$ (as 16T950) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.6 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):Q_8$ (as 16T950) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.7 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):Q_8$ (as 16T950) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.8 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):Q_8$ (as 16T950) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.9 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.10 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.11 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.12 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.13 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.14 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.15 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.16 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.17 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2\wr D_4$ (as 16T395) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.18 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2\wr D_4$ (as 16T395) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.19 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_4^2:D_4$ (as 16T365) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.20 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_4^2:D_4$ (as 16T365) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.21 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.(C_4\times D_4)$ (as 16T867) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.22 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.(C_4\times D_4)$ (as 16T867) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.23 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.(C_4\times D_4)$ (as 16T867) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.24 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^4.(C_4\times D_4)$ (as 16T867) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.25 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{7} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):Q_8$ (as 16T950) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{7} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.26 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{7} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):Q_8$ (as 16T950) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{7} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.27 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):Q_8$ (as 16T950) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.28 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$(C_2^2\times C_4^2):Q_8$ (as 16T950) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, 3, \frac{7}{2}, 4, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,2,\frac{5}{2},3,3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,3,\frac{7}{2},4]^{2}$ |
$[1,2,\frac{5}{2},3]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.29 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.30 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.31 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.32 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.33 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.34 |
$16$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.35 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.36 |
$16$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.37 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_4^2:D_4$ (as 16T399) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.38 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_4^2:D_4$ (as 16T399) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.39 |
$16$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_4^2:D_4$ (as 16T341) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.40 |
$16$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_4^2:D_4$ (as 16T341) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{7} + 16 x^{5} + 16 x^{4} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.41 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.42 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.43 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.44 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.45 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.46 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.47 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.48 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_2^6:D_4$ (as 16T969) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,2,\frac{7}{2},\frac{7}{2}]^{2}$ |
$[1,1,\frac{5}{2},\frac{5}{2}]^{2}$ |
$4$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 8 x^{10} + 16 x^{9} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.49 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_4^2:D_4$ (as 16T365) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{10} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.66j1.50 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$66$ |
$C_4^2:D_4$ (as 16T365) |
$2$ |
$1$ |
$[3, 4, \frac{17}{4}, \frac{19}{4}]$ |
$[2,3,\frac{13}{4},\frac{15}{4}]$ |
$[2, 3, \frac{7}{2}, 4, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,2,\frac{5}{2},3,\frac{13}{4},\frac{15}{4}]^{2}$ |
$[2,\frac{7}{2}]^{2}$ |
$[1,\frac{5}{2}]^{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 8 x^{10} + 16 x^{7} + 16 x^{3} + 2$ |
$[51, 42, 32, 16, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
