| 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 |
| 2.1.16.16a1.1 |
$16$ |
$x^{16} + 2 x + 2$ |
$2$ |
$1$ |
$16$ |
$16$ |
$F_{16}:C_4$ (as 16T1079) |
$4$ |
$15$ |
$[\frac{16}{15}, \frac{16}{15}, \frac{16}{15}, \frac{16}{15}]$ |
$[\frac{1}{15},\frac{1}{15},\frac{1}{15},\frac{1}{15}]$ |
$[\frac{16}{15}, \frac{16}{15}, \frac{16}{15}, \frac{16}{15}]_{15}^{4}$ |
$[\frac{1}{15},\frac{1}{15},\frac{1}{15},\frac{1}{15}]_{15}^{4}$ |
$[\ ]^{4}_{15}$ |
$[\ ]^{4}_{15}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x + 2$ |
$[1, 1, 1, 1, 0]$ |
$[1]$ |
$z + 1$ |
$[1, 2, 4, 8, 17]$ |
| 2.1.16.18a1.1 |
$16$ |
$x^{16} + 2 x^{3} + 2$ |
$2$ |
$1$ |
$16$ |
$18$ |
$C_2^4:F_5$ (as 16T711) |
$4$ |
$5$ |
$[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]$ |
$[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{4}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{4}$ |
$[\ ]^{4}_{5}$ |
$[\ ]^{4}_{5}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{3} + 2$ |
$[3, 3, 3, 3, 0]$ |
$[2]$ |
$z^3 + 1$ |
$[1, 2, 4, 8, 19]$ |
| 2.1.16.18b1.1 |
$16$ |
$x^{16} + 2 x^{3} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$18$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{5}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{3} + 2 x^{2} + 2$ |
$[3, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 19]$ |
| 2.1.16.18b1.2 |
$16$ |
$x^{16} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$18$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{5}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{1}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{4} + 2 x^{3} + 2 x^{2} + 2$ |
$[3, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 19]$ |
| 2.1.16.20a1.1 |
$16$ |
$x^{16} + 2 x^{5} + 2$ |
$2$ |
$1$ |
$16$ |
$20$ |
$C_2^3.S_4$ (as 16T433) |
$4$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3}]_{3}^{4}$ |
$[\ ]^{4}_{3}$ |
$[\ ]^{4}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{5} + 2$ |
$[5, 5, 5, 5, 0]$ |
$[4]$ |
$z^5 + 1$ |
$[1, 2, 4, 8, 21]$ |
| 2.1.16.20a2.1 |
$16$ |
$x^{16} + 2 x^{5} + 2 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$20$ |
$A_4\wr C_2$ (as 16T708) |
$6$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}]_{3}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3}]_{3}^{6}$ |
$[\ ]^{6}_{3}$ |
$[\ ]^{6}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{5} + 2 x^{4} + 2$ |
$[5, 5, 4, 4, 0]$ |
$[6]$ |
$z^5 + z + 1$ |
$[1, 2, 5, 10, 21]$ |
| 2.1.16.20b1.1 |
$16$ |
$x^{16} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$20$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{3}{2}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 21]$ |
| 2.1.16.20b1.2 |
$16$ |
$x^{16} + 2 x^{8} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$20$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{3}{2}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 21]$ |
| 2.1.16.20b1.3 |
$16$ |
$x^{16} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$20$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{3}{2}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 21]$ |
| 2.1.16.20b1.4 |
$16$ |
$x^{16} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$20$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{3}{2}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{1}{2}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 2 x^{7} + 2 x^{5} + 2 x^{2} + 2$ |
$[5, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 21]$ |
| 2.1.16.22a1.1 |
$16$ |
$x^{16} + 2 x^{7} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$F_{16}:C_4$ (as 16T1079) |
$4$ |
$15$ |
$[\frac{22}{15}, \frac{22}{15}, \frac{22}{15}, \frac{22}{15}]$ |
$[\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{7}{15}]$ |
$[\frac{22}{15}, \frac{22}{15}, \frac{22}{15}, \frac{22}{15}]_{15}^{4}$ |
$[\frac{7}{15},\frac{7}{15},\frac{7}{15},\frac{7}{15}]_{15}^{4}$ |
$[\ ]^{4}_{15}$ |
$[\ ]^{4}_{15}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{7} + 2$ |
$[7, 7, 7, 7, 0]$ |
$[1]$ |
$z + 1$ |
$[1, 2, 4, 8, 23]$ |
| 2.1.16.22b1.1 |
$16$ |
$x^{16} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{7}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 23]$ |
| 2.1.16.22b1.2 |
$16$ |
$x^{16} + 2 x^{12} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{7}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 23]$ |
| 2.1.16.22b1.3 |
$16$ |
$x^{16} + 2 x^{11} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{7}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{4}]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, \frac{7}{4}]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},\frac{3}{4}]_{7}^{3}$ |
$[\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}_{7}$ |
$[\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{11} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 23]$ |
| 2.1.16.22b1.4 |
$16$ |
$x^{16} + 2 x^{12} + 2 x^{11} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{7}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{4}]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, \frac{7}{4}]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},\frac{3}{4}]_{7}^{3}$ |
$[\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}_{7}$ |
$[\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 2 x^{11} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 23]$ |
| 2.1.16.22b1.5 |
$16$ |
$x^{16} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{7}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 23]$ |
| 2.1.16.22b1.6 |
$16$ |
$x^{16} + 2 x^{12} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{7}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 23]$ |
| 2.1.16.22b1.7 |
$16$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{7}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{4}]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, \frac{7}{4}]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},\frac{3}{4}]_{7}^{3}$ |
$[\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}_{7}$ |
$[\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 23]$ |
| 2.1.16.22b1.8 |
$16$ |
$x^{16} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{7}{4}]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{4}]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, \frac{7}{4}]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},\frac{3}{4}]_{7}^{3}$ |
$[\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}_{7}$ |
$[\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{7} + 2 x^{2} + 2$ |
$[7, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 23]$ |
| 2.1.16.22c1.1 |
$16$ |
$x^{16} + 2 x^{7} + 2 x^{6} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{10}{7}, \frac{10}{7}, \frac{10}{7}, \frac{3}{2}]$ |
$[\frac{3}{7},\frac{3}{7},\frac{3}{7},\frac{1}{2}]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{10}{7}, \frac{10}{7}, \frac{10}{7}, \frac{3}{2}]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{7},\frac{3}{7},\frac{3}{7},\frac{1}{2}]_{7}^{3}$ |
$[\frac{8}{7},\frac{8}{7},\frac{8}{7}]^{3}_{7}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{7} + 2 x^{6} + 2$ |
$[7, 6, 6, 6, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 11, 23]$ |
| 2.1.16.22c1.2 |
$16$ |
$x^{16} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{10}{7}, \frac{10}{7}, \frac{10}{7}, \frac{3}{2}]$ |
$[\frac{3}{7},\frac{3}{7},\frac{3}{7},\frac{1}{2}]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{10}{7}, \frac{10}{7}, \frac{10}{7}, \frac{3}{2}]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{3}{7},\frac{3}{7},\frac{3}{7},\frac{1}{2}]_{7}^{3}$ |
$[\frac{8}{7},\frac{8}{7},\frac{8}{7}]^{3}_{7}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 2 x^{7} + 2 x^{6} + 2$ |
$[7, 6, 6, 6, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 11, 23]$ |
| 2.1.16.22d1.1 |
$16$ |
$x^{16} + 2 x^{7} + 2 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^4.\GL(2,3)$ (as 16T1061) |
$4$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{3}{2}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{1}{2}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{3}{2}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{1}{2}]_{3}^{4}$ |
$[\frac{4}{3},\frac{4}{3}]^{4}_{3}$ |
$[\frac{1}{3},\frac{1}{3}]^{4}_{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{7} + 2 x^{4} + 2$ |
$[7, 7, 4, 4, 0]$ |
$[1, 2]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 5, 10, 23]$ |
| 2.1.16.22d1.2 |
$16$ |
$x^{16} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^4.\GL(2,3)$ (as 16T1061) |
$4$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{3}{2}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{1}{2}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{3}{2}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{1}{2}]_{3}^{4}$ |
$[\frac{4}{3},\frac{4}{3}]^{4}_{3}$ |
$[\frac{1}{3},\frac{1}{3}]^{4}_{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{8} + 2 x^{7} + 2 x^{4} + 2$ |
$[7, 7, 4, 4, 0]$ |
$[1, 2]$ |
$z^4 + 1,z^3 + 1$ |
$[1, 2, 5, 10, 23]$ |
| 2.1.16.22d2.1 |
$16$ |
$x^{16} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$22$ |
$C_2^6:(C_3\times S_4)$ (as 16T1649) |
$6$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{3}{2}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{1}{2}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{3}{2}]_{3}^{6}$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{1}{2}]_{3}^{6}$ |
$[\frac{4}{3},\frac{4}{3},\frac{4}{3},\frac{4}{3}]^{6}_{3}$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{3},\frac{1}{3}]^{6}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{7} + 2 x^{6} + 2 x^{4} + 2$ |
$[7, 6, 4, 4, 0]$ |
$[1, 3]$ |
$z^4 + 1,z^3 + z + 1$ |
$[1, 2, 5, 11, 23]$ |
| 2.1.16.24a1.1 |
$16$ |
$x^{16} + 2 x^{9} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4:F_5$ (as 16T711) |
$4$ |
$5$ |
$[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}]$ |
$[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]$ |
$[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}]_{5}^{4}$ |
$[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]_{5}^{4}$ |
$[\ ]^{4}_{5}$ |
$[\ ]^{4}_{5}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{9} + 2$ |
$[9, 9, 9, 9, 0]$ |
$[2]$ |
$z^3 + 1$ |
$[1, 3, 6, 12, 25]$ |
| 2.1.16.24a1.2 |
$16$ |
$x^{16} + 2 x^{9} + 2 x^{8} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4:F_5$ (as 16T711) |
$4$ |
$5$ |
$[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}]$ |
$[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]$ |
$[\frac{8}{5}, \frac{8}{5}, \frac{8}{5}, \frac{8}{5}]_{5}^{4}$ |
$[\frac{3}{5},\frac{3}{5},\frac{3}{5},\frac{3}{5}]_{5}^{4}$ |
$[\ ]^{4}_{5}$ |
$[\ ]^{4}_{5}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{9} + 2 x^{8} + 2$ |
$[9, 9, 9, 8, 0]$ |
$[2]$ |
$z^3 + 1$ |
$[1, 2, 4, 8, 25]$ |
| 2.1.16.24b1.1 |
$16$ |
$x^{16} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 31]$ |
| 2.1.16.24b1.2 |
$16$ |
$x^{16} + 2 x^{9} + 2 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{9} + 2 x^{2} + 6$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 31]$ |
| 2.1.16.24b1.3 |
$16$ |
$x^{16} + 2 x^{15} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$F_8:C_6$ (as 16T712) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]_{7}^{3}$ |
$[\ ]^{3}_{7}$ |
$[\ ]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{15} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 18]$ |
| 2.1.16.24b1.4 |
$16$ |
$x^{16} + 2 x^{15} + 2 x^{9} + 2 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$24$ |
$F_8:C_6$ (as 16T712) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]_{7}^{3}$ |
$[\ ]^{3}_{7}$ |
$[\ ]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{15} + 2 x^{9} + 2 x^{2} + 6$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 32]$ |
| 2.1.16.24b1.5 |
$16$ |
$x^{16} + 2 x^{13} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{13} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 29]$ |
| 2.1.16.24b1.6 |
$16$ |
$x^{16} + 2 x^{13} + 2 x^{9} + 2 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{13} + 2 x^{9} + 2 x^{2} + 6$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 29]$ |
| 2.1.16.24b1.7 |
$16$ |
$x^{16} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 29]$ |
| 2.1.16.24b1.8 |
$16$ |
$x^{16} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 2 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{15} + 2 x^{13} + 2 x^{9} + 2 x^{2} + 6$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 29]$ |
| 2.1.16.24b1.9 |
$16$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, 2]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},1]_{7}^{3}$ |
$[\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}_{7}$ |
$[\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 27]$ |
| 2.1.16.24b1.10 |
$16$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, 2]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},1]_{7}^{3}$ |
$[\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}_{7}$ |
$[\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 6$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 27]$ |
| 2.1.16.24b1.11 |
$16$ |
$x^{16} + 2 x^{15} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{15} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 27]$ |
| 2.1.16.24b1.12 |
$16$ |
$x^{16} + 2 x^{15} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{15} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 6$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 27]$ |
| 2.1.16.24b1.13 |
$16$ |
$x^{16} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 27]$ |
| 2.1.16.24b1.14 |
$16$ |
$x^{16} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 6$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 27]$ |
| 2.1.16.24b1.15 |
$16$ |
$x^{16} + 2 x^{15} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, 2]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},1]_{7}^{3}$ |
$[\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}_{7}$ |
$[\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{15} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 2$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 27]$ |
| 2.1.16.24b1.16 |
$16$ |
$x^{16} + 2 x^{15} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 6$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4:F_8:C_3$ (as 16T1503) |
$3$ |
$7$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, 2]$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},1]$ |
$[\frac{8}{7}, \frac{8}{7}, \frac{8}{7}, \frac{12}{7}, \frac{12}{7}, \frac{12}{7}, 2]_{7}^{3}$ |
$[\frac{1}{7},\frac{1}{7},\frac{1}{7},\frac{5}{7},\frac{5}{7},\frac{5}{7},1]_{7}^{3}$ |
$[\frac{12}{7},\frac{12}{7},\frac{12}{7}]^{3}_{7}$ |
$[\frac{5}{7},\frac{5}{7},\frac{5}{7}]^{3}_{7}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{15} + 2 x^{13} + 2 x^{11} + 2 x^{9} + 2 x^{2} + 6$ |
$[9, 2, 2, 2, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 9, 27]$ |
| 2.1.16.24c1.1 |
$16$ |
$x^{16} + 2 x^{9} + 2 x^{6} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{10}{7}, \frac{10}{7}, \frac{10}{7}, \frac{7}{4}]$ |
$[\frac{3}{7},\frac{3}{7},\frac{3}{7},\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{9} + 2 x^{6} + 2$ |
$[9, 6, 6, 6, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 11, 25]$ |
| 2.1.16.24c1.2 |
$16$ |
$x^{16} + 2 x^{12} + 2 x^{9} + 2 x^{6} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{10}{7}, \frac{10}{7}, \frac{10}{7}, \frac{7}{4}]$ |
$[\frac{3}{7},\frac{3}{7},\frac{3}{7},\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 2 x^{9} + 2 x^{6} + 2$ |
$[9, 6, 6, 6, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 11, 25]$ |
| 2.1.16.24c1.3 |
$16$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{6} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{10}{7}, \frac{10}{7}, \frac{10}{7}, \frac{7}{4}]$ |
$[\frac{3}{7},\frac{3}{7},\frac{3}{7},\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{6} + 2$ |
$[9, 6, 6, 6, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 11, 25]$ |
| 2.1.16.24c1.4 |
$16$ |
$x^{16} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{6} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^7.F_8:C_6$ (as 16T1841) |
not computed |
not computed |
$[\frac{10}{7}, \frac{10}{7}, \frac{10}{7}, \frac{7}{4}]$ |
$[\frac{3}{7},\frac{3}{7},\frac{3}{7},\frac{3}{4}]$ |
not computed |
not computed |
not computed |
not computed |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{6} + 2$ |
$[9, 6, 6, 6, 0]$ |
$[1, 1]$ |
$z^2 + 1,z + 1$ |
$[1, 2, 4, 11, 25]$ |
| 2.1.16.24d1.1 |
$16$ |
$x^{16} + 2 x^{9} + 2 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_4^2:S_3$ (as 16T195) |
$2$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{5}{3}, \frac{5}{3}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{2}{3},\frac{2}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{5}{3}, \frac{5}{3}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},\frac{2}{3},\frac{2}{3}]_{3}^{2}$ |
$[\ ]^{2}_{3}$ |
$[\ ]^{2}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{9} + 2 x^{4} + 2$ |
$[9, 9, 4, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z + 1$ |
$[1, 2, 5, 10, 25]$ |
| 2.1.16.24d1.2 |
$16$ |
$x^{16} + 2 x^{10} + 2 x^{9} + 2 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^3.S_4$ (as 16T430) |
$4$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{5}{3}, \frac{5}{3}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{2}{3},\frac{2}{3}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{5}{3}, \frac{5}{3}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3},\frac{2}{3},\frac{2}{3}]_{3}^{4}$ |
$[\ ]^{4}_{3}$ |
$[\ ]^{4}_{3}$ |
$1$ |
$t + 1$ |
$x^{16} + 2 x^{10} + 2 x^{9} + 2 x^{4} + 2$ |
$[9, 9, 4, 4, 0]$ |
$[1, 1]$ |
$z^4 + 1,z + 1$ |
$[1, 2, 5, 10, 25]$ |
| 2.1.16.24e1.1 |
$16$ |
$x^{16} + 2 x^{9} + 2 x^{6} + 2 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^3.\GL(2,3)$ (as 16T773) |
$2$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{7}{4}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{3}{4}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{5}{3}, \frac{5}{3}, \frac{7}{4}]_{3}^{2}$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{2}{3},\frac{2}{3},\frac{3}{4}]_{3}^{2}$ |
$[\frac{5}{3},\frac{5}{3}]^{2}_{3}$ |
$[\frac{2}{3},\frac{2}{3}]^{2}_{3}$ |
$2$ |
$t + 1$ |
$x^{16} + 2 x^{9} + 2 x^{6} + 2 x^{4} + 2$ |
$[9, 6, 4, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 5, 11, 25]$ |
| 2.1.16.24e1.2 |
$16$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{6} + 2 x^{4} + 2$ |
$2$ |
$1$ |
$16$ |
$24$ |
$C_2^4.\GL(2,3)$ (as 16T1064) |
$4$ |
$3$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{7}{4}]$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{3}{4}]$ |
$[\frac{4}{3}, \frac{4}{3}, \frac{3}{2}, \frac{5}{3}, \frac{5}{3}, \frac{7}{4}]_{3}^{4}$ |
$[\frac{1}{3},\frac{1}{3},\frac{1}{2},\frac{2}{3},\frac{2}{3},\frac{3}{4}]_{3}^{4}$ |
$[\frac{5}{3},\frac{5}{3}]^{4}_{3}$ |
$[\frac{2}{3},\frac{2}{3}]^{4}_{3}$ |
$4$ |
$t + 1$ |
$x^{16} + 2 x^{11} + 2 x^{9} + 2 x^{6} + 2 x^{4} + 2$ |
$[9, 6, 4, 4, 0]$ |
$[1, 1, 1]$ |
$z^4 + 1,z^2 + 1,z + 1$ |
$[1, 2, 5, 11, 25]$ |
