| 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 |
| 2.1.16.60j1.73 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 2$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.74 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 18$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 18$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.75 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 2$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.76 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 18$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 18$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.77 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 2$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.78 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 18$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 18$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.79 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 2$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.80 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 18$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 18$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.81 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 2$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.82 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 18$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.83 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 2$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.84 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 18$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.85 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 2$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.86 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 18$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.87 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 2$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.88 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 18$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 18$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.105 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 10$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 10$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.106 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 26$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 26$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.107 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 10$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 10$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.108 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 26$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{10} + 4 x^{8} + 26$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.109 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 10$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 10$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.110 |
$16$ |
$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 26$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 26$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.111 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 10$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 10$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.112 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 26$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 8 x^{12} + 8 x^{10} + 4 x^{8} + 26$ |
$[45, 42, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.113 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 10$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 10$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.114 |
$16$ |
$x^{16} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 26$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 26$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.115 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 10$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 10$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.116 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 26$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 26$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.117 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 10$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 10$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.118 |
$16$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 26$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 26$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.119 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 10$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 10$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.60j1.120 |
$16$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 26$ |
$2$ |
$1$ |
$16$ |
$60$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{49}{12}, \frac{49}{12}]$ |
$[2,3,\frac{37}{12},\frac{37}{12}]$ |
$[\frac{4}{3}, \frac{4}{3}, 3, \frac{19}{6}, \frac{19}{6}, 4, \frac{49}{12}, \frac{49}{12}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},2,\frac{13}{6},\frac{13}{6},3,\frac{37}{12},\frac{37}{12}]_{3}^{2}$ |
$[\frac{4}{3},\frac{4}{3},\frac{19}{6},\frac{19}{6}]^{2}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{13}{6},\frac{13}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{15} + 8 x^{14} + 8 x^{13} + 4 x^{8} + 8 x^{4} + 26$ |
$[45, 45, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.129 |
$16$ |
$x^{16} + 4 x^{8} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 4 x^{8} + 16 x + 2$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.130 |
$16$ |
$x^{16} + 4 x^{8} + 16 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 4 x^{8} + 16 x^{6} + 16 x + 2$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.131 |
$16$ |
$x^{16} + 4 x^{8} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 4 x^{8} + 16 x^{2} + 16 x + 2$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.132 |
$16$ |
$x^{16} + 4 x^{8} + 16 x^{6} + 16 x^{2} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 4 x^{8} + 16 x^{6} + 16 x^{2} + 16 x + 2$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.133 |
$16$ |
$x^{16} + 4 x^{8} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 4 x^{8} + 16 x + 18$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.134 |
$16$ |
$x^{16} + 4 x^{8} + 16 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 4 x^{8} + 16 x^{6} + 16 x + 18$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.135 |
$16$ |
$x^{16} + 4 x^{8} + 16 x^{2} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 4 x^{8} + 16 x^{2} + 16 x + 18$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.136 |
$16$ |
$x^{16} + 4 x^{8} + 16 x^{6} + 16 x^{2} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 4 x^{8} + 16 x^{6} + 16 x^{2} + 16 x + 18$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.137 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x + 2$ |
$[49, 46, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.138 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{6} + 16 x + 2$ |
$[49, 46, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.139 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{3} + 16 x + 2$ |
$[49, 46, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.140 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{6} + 16 x^{3} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{6} + 16 x^{3} + 16 x + 2$ |
$[49, 46, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.141 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x + 18$ |
$[49, 46, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.142 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{6} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
not computed |
not computed |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
not computed |
not computed |
not computed |
not computed |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{6} + 16 x + 18$ |
$[49, 46, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.143 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{3} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{3} + 16 x + 18$ |
$[49, 46, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.144 |
$16$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{6} + 16 x^{3} + 16 x + 18$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{14} + 4 x^{8} + 16 x^{6} + 16 x^{3} + 16 x + 18$ |
$[49, 46, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.145 |
$16$ |
$x^{16} + 8 x^{12} + 4 x^{8} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{12} + 4 x^{8} + 16 x + 2$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
| 2.1.16.64f1.146 |
$16$ |
$x^{16} + 8 x^{12} + 4 x^{8} + 16 x^{6} + 16 x + 2$ |
$2$ |
$1$ |
$16$ |
$64$ |
$C_2^6:(C_4\times S_3)$ (as 16T1300) |
$2$ |
$3$ |
$[3, 4, \frac{53}{12}, \frac{53}{12}]$ |
$[2,3,\frac{41}{12},\frac{41}{12}]$ |
$[\frac{8}{3}, \frac{8}{3}, 3, \frac{23}{6}, \frac{23}{6}, 4, \frac{53}{12}, \frac{53}{12}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3},2,\frac{17}{6},\frac{17}{6},3,\frac{41}{12},\frac{41}{12}]_{3}^{2}$ |
$[\frac{8}{3},\frac{8}{3},\frac{23}{6},\frac{23}{6}]^{2}_{3}$ |
$[\frac{5}{3},\frac{5}{3},\frac{17}{6},\frac{17}{6}]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 8 x^{12} + 4 x^{8} + 16 x^{6} + 16 x + 2$ |
$[49, 48, 32, 16, 0]$ |
$[1, 1, 1]$ |
$z^8 + 1,z^4 + 1,z + 1$ |
$[1, 3, 7, 15, 31]$ |
