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 |
2.1.16.64j1.257 |
$16$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.258 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.259 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.260 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.265 |
$16$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.266 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.267 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.268 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.273 |
$16$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.274 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.275 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.276 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.281 |
$16$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.282 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.283 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.284 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.293 |
$16$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.294 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.295 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.296 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.301 |
$16$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.302 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.303 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.304 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.309 |
$16$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.310 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.311 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.312 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.317 |
$16$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.318 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.319 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.320 |
$16$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 16 x^{12} + 16 x^{11} + 10 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.533 |
$16$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.534 |
$16$ |
$x^{16} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.535 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.536 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.541 |
$16$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.542 |
$16$ |
$x^{16} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.543 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.544 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.561 |
$16$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.562 |
$16$ |
$x^{16} + 20 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.563 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.564 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.569 |
$16$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.570 |
$16$ |
$x^{16} + 20 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.571 |
$16$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 4 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.572 |
$16$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$(C_2^2\times C_4^2):D_8$ (as 16T1276) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 20 x^{12} + 16 x^{11} + 2 x^{8} + 8 x^{6} + 16 x^{4} + 16 x^{3} + 16 x^{2} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.581 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |
2.1.16.64j1.582 |
$16$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:D_8$ (as 16T1275) |
$2$ |
$1$ |
$[2, \frac{7}{2}, \frac{17}{4}, \frac{19}{4}]$ |
$[1,\frac{5}{2},\frac{13}{4},\frac{15}{4}]$ |
$[2, 2, 3, \frac{7}{2}, \frac{7}{2}, 4, \frac{17}{4}, \frac{17}{4}, \frac{19}{4}]^{2}$ |
$[1,1,2,\frac{5}{2},\frac{5}{2},3,\frac{13}{4},\frac{13}{4},\frac{15}{4}]^{2}$ |
$[\frac{17}{4},2,3,4,\frac{7}{2}]_{2}$ |
$[\frac{13}{4},1,2,3,\frac{5}{2}]_{2}$ |
$2$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 20 x^{12} + 2 x^{8} + 16 x^{7} + 8 x^{6} + 16 x + 2$ |
$[49, 38, 24, 8, 0]$ |
$[1, 1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z^2 + 1,z + 1$ |
$[1, 5, 13, 29, 45]$ |