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 |
3.1.15.15a1.1 |
$15$ |
$x^{15} + 3 x + 3$ |
$3$ |
$1$ |
$15$ |
$15$ |
$C_3^4:(C_2\times F_5)$ (as 15T52) |
$4$ |
$10$ |
$[\frac{11}{10}]$ |
$[\frac{1}{10}]$ |
$[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}]_{10}^{4}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]_{10}^{4}$ |
$[\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x + 3$ |
$[1, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.15a1.2 |
$15$ |
$x^{15} + 6 x + 3$ |
$3$ |
$1$ |
$15$ |
$15$ |
$C_3^4:(C_2\times F_5)$ (as 15T52) |
$4$ |
$10$ |
$[\frac{11}{10}]$ |
$[\frac{1}{10}]$ |
$[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}]_{10}^{4}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]_{10}^{4}$ |
$[\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x + 3$ |
$[1, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.16a1.1 |
$15$ |
$x^{15} + 3 x^{2} + 3$ |
$3$ |
$1$ |
$15$ |
$16$ |
$C_3^4:F_5$ (as 15T41) |
$4$ |
$5$ |
$[\frac{6}{5}]$ |
$[\frac{1}{5}]$ |
$[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{4}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{4}$ |
$[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{2} + 3$ |
$[2, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.16a1.2 |
$15$ |
$x^{15} + 3 x^{3} + 3 x^{2} + 3$ |
$3$ |
$1$ |
$15$ |
$16$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{6}{5}]$ |
$[\frac{1}{5}]$ |
$[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{12}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{12}$ |
$[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{12}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{3} + 3 x^{2} + 3$ |
$[2, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.16a1.3 |
$15$ |
$x^{15} + 6 x^{3} + 3 x^{2} + 3$ |
$3$ |
$1$ |
$15$ |
$16$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{6}{5}]$ |
$[\frac{1}{5}]$ |
$[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{12}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{12}$ |
$[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{12}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{3} + 3 x^{2} + 3$ |
$[2, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.16a2.1 |
$15$ |
$x^{15} + 6 x^{2} + 3$ |
$3$ |
$1$ |
$15$ |
$16$ |
$C_3^4:F_5$ (as 15T42) |
$4$ |
$5$ |
$[\frac{6}{5}]$ |
$[\frac{1}{5}]$ |
$[\frac{6}{5}, \frac{6}{5}, \frac{6}{5}, \frac{6}{5}]_{5}^{4}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5},\frac{1}{5}]_{5}^{4}$ |
$[\frac{6}{5},\frac{6}{5},\frac{6}{5}]^{4}$ |
$[\frac{1}{5},\frac{1}{5},\frac{1}{5}]^{4}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{2} + 3$ |
$[2, 0]$ |
$[4, 2]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 2$ |
undefined |
3.1.15.18a1.1 |
$15$ |
$x^{15} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3^4:F_5$ (as 15T41) |
$4$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a1.2 |
$15$ |
$x^{15} + 3 x^{6} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{6} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a1.3 |
$15$ |
$x^{15} + 6 x^{6} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{6} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a1.4 |
$15$ |
$x^{15} + 3 x^{5} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3^4:F_5$ (as 15T41) |
$4$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{5} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a1.5 |
$15$ |
$x^{15} + 3 x^{6} + 3 x^{5} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{6} + 3 x^{5} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a1.6 |
$15$ |
$x^{15} + 6 x^{6} + 3 x^{5} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{6} + 3 x^{5} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a1.7 |
$15$ |
$x^{15} + 6 x^{5} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3^4:F_5$ (as 15T41) |
$4$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{5} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a1.8 |
$15$ |
$x^{15} + 3 x^{6} + 6 x^{5} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{6} + 6 x^{5} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a1.9 |
$15$ |
$x^{15} + 6 x^{6} + 6 x^{5} + 6 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{12}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{12}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{6} + 6 x^{5} + 6 x^{4} + 3$ |
$[4, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.18a2.1 |
$15$ |
$x^{15} + 3 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3^4:F_5$ (as 15T42) |
$4$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{4} + 3$ |
$[4, 0]$ |
$[4, 2]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 2$ |
undefined |
3.1.15.18a2.2 |
$15$ |
$x^{15} + 3 x^{5} + 3 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3^4:F_5$ (as 15T42) |
$4$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{5} + 3 x^{4} + 3$ |
$[4, 0]$ |
$[4, 2]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 2$ |
undefined |
3.1.15.18a2.3 |
$15$ |
$x^{15} + 6 x^{5} + 3 x^{4} + 3$ |
$3$ |
$1$ |
$15$ |
$18$ |
$C_3^4:F_5$ (as 15T42) |
$4$ |
$5$ |
$[\frac{7}{5}]$ |
$[\frac{2}{5}]$ |
$[\frac{7}{5}, \frac{7}{5}, \frac{7}{5}, \frac{7}{5}]_{5}^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5},\frac{2}{5}]_{5}^{4}$ |
$[\frac{7}{5},\frac{7}{5},\frac{7}{5}]^{4}$ |
$[\frac{2}{5},\frac{2}{5},\frac{2}{5}]^{4}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{5} + 3 x^{4} + 3$ |
$[4, 0]$ |
$[4, 2]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 2$ |
undefined |
3.1.15.19a1.1 |
$15$ |
$x^{15} + 3 x^{5} + 3$ |
$3$ |
$1$ |
$15$ |
$19$ |
$F_5 \times S_3$ (as 15T11) |
$4$ |
$10$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{10}^{4}$ |
$[\frac{1}{2}]_{10}^{4}$ |
$[\ ]^{4}_{2}$ |
$[\ ]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{5} + 3$ |
$[5, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.19a1.2 |
$15$ |
$x^{15} + 3 x^{7} + 3 x^{5} + 3$ |
$3$ |
$1$ |
$15$ |
$19$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{3}{2}]_{10}^{4}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{2}]_{10}^{4}$ |
$[\frac{11}{10},\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{7} + 3 x^{5} + 3$ |
$[5, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.19a1.3 |
$15$ |
$x^{15} + 6 x^{7} + 3 x^{5} + 3$ |
$3$ |
$1$ |
$15$ |
$19$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{3}{2}]_{10}^{4}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{2}]_{10}^{4}$ |
$[\frac{11}{10},\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{7} + 3 x^{5} + 3$ |
$[5, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.19a1.4 |
$15$ |
$x^{15} + 6 x^{5} + 3$ |
$3$ |
$1$ |
$15$ |
$19$ |
$F_5 \times S_3$ (as 15T11) |
$4$ |
$10$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{3}{2}]_{10}^{4}$ |
$[\frac{1}{2}]_{10}^{4}$ |
$[\ ]^{4}_{2}$ |
$[\ ]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{5} + 3$ |
$[5, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.19a1.5 |
$15$ |
$x^{15} + 3 x^{7} + 6 x^{5} + 3$ |
$3$ |
$1$ |
$15$ |
$19$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{3}{2}]_{10}^{4}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{2}]_{10}^{4}$ |
$[\frac{11}{10},\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{7} + 6 x^{5} + 3$ |
$[5, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.19a1.6 |
$15$ |
$x^{15} + 6 x^{7} + 6 x^{5} + 3$ |
$3$ |
$1$ |
$15$ |
$19$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{3}{2}]$ |
$[\frac{1}{2}]$ |
$[\frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{11}{10}, \frac{3}{2}]_{10}^{4}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{2}]_{10}^{4}$ |
$[\frac{11}{10},\frac{11}{10},\frac{11}{10},\frac{11}{10}]^{4}_{2}$ |
$[\frac{1}{10},\frac{1}{10},\frac{1}{10},\frac{1}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{7} + 6 x^{5} + 3$ |
$[5, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.1 |
$15$ |
$x^{15} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(C_2\times F_5)$ (as 15T52) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.2 |
$15$ |
$x^{15} + 3 x^{10} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(C_2\times F_5)$ (as 15T52) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{10} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.3 |
$15$ |
$x^{15} + 6 x^{10} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(C_2\times F_5)$ (as 15T52) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{10} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.4 |
$15$ |
$x^{15} + 3 x^{8} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{8} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.5 |
$15$ |
$x^{15} + 3 x^{10} + 3 x^{8} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{10} + 3 x^{8} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.6 |
$15$ |
$x^{15} + 6 x^{10} + 3 x^{8} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{10} + 3 x^{8} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.7 |
$15$ |
$x^{15} + 6 x^{8} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{8} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.8 |
$15$ |
$x^{15} + 3 x^{10} + 6 x^{8} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{10} + 6 x^{8} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.9 |
$15$ |
$x^{15} + 6 x^{10} + 6 x^{8} + 3 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{10} + 6 x^{8} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 2$ |
undefined |
3.1.15.21a1.10 |
$15$ |
$x^{15} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(C_2\times F_5)$ (as 15T52) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.21a1.11 |
$15$ |
$x^{15} + 3 x^{10} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(C_2\times F_5)$ (as 15T52) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{10} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.21a1.12 |
$15$ |
$x^{15} + 6 x^{10} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(C_2\times F_5)$ (as 15T52) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{10} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.21a1.13 |
$15$ |
$x^{15} + 3 x^{8} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{8} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.21a1.14 |
$15$ |
$x^{15} + 3 x^{10} + 3 x^{8} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{10} + 3 x^{8} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.21a1.15 |
$15$ |
$x^{15} + 6 x^{10} + 3 x^{8} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{10} + 3 x^{8} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.21a1.16 |
$15$ |
$x^{15} + 6 x^{8} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{8} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.21a1.17 |
$15$ |
$x^{15} + 3 x^{10} + 6 x^{8} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 3 x^{10} + 6 x^{8} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.21a1.18 |
$15$ |
$x^{15} + 6 x^{10} + 6 x^{8} + 6 x^{7} + 3$ |
$3$ |
$1$ |
$15$ |
$21$ |
$C_3^4:(S_3\times F_5)$ (as 15T64) |
$4$ |
$10$ |
$[\frac{17}{10}]$ |
$[\frac{7}{10}]$ |
$[\frac{3}{2}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}, \frac{17}{10}]_{10}^{4}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10},\frac{7}{10}]_{10}^{4}$ |
$[\frac{3}{2},\frac{17}{10},\frac{17}{10},\frac{17}{10}]^{4}_{2}$ |
$[\frac{1}{2},\frac{7}{10},\frac{7}{10},\frac{7}{10}]^{4}_{2}$ |
$1$ |
$t + 1$ |
$x^{15} + 6 x^{10} + 6 x^{8} + 6 x^{7} + 3$ |
$[7, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z + 1$ |
undefined |
3.1.15.22a1.1 |
$15$ |
$x^{15} + 3 x^{8} + 3$ |
$3$ |
$1$ |
$15$ |
$22$ |
$C_3^4:F_5$ (as 15T41) |
$4$ |
$5$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{4}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{4}$ |
$[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{4}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.22a1.2 |
$15$ |
$x^{15} + 3 x^{12} + 3 x^{8} + 3$ |
$3$ |
$1$ |
$15$ |
$22$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ |
$[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{12} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.22a1.3 |
$15$ |
$x^{15} + 6 x^{12} + 3 x^{8} + 3$ |
$3$ |
$1$ |
$15$ |
$22$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ |
$[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{12} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.22a1.4 |
$15$ |
$x^{15} + 3 x^{11} + 3 x^{8} + 3$ |
$3$ |
$1$ |
$15$ |
$22$ |
$C_3^4:F_5$ (as 15T41) |
$4$ |
$5$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{4}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{4}$ |
$[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{4}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{11} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.22a1.5 |
$15$ |
$x^{15} + 3 x^{12} + 3 x^{11} + 3 x^{8} + 3$ |
$3$ |
$1$ |
$15$ |
$22$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ |
$[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{12} + 3 x^{11} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.22a1.6 |
$15$ |
$x^{15} + 6 x^{12} + 3 x^{11} + 3 x^{8} + 3$ |
$3$ |
$1$ |
$15$ |
$22$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ |
$[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{12} + 3 x^{11} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.22a1.7 |
$15$ |
$x^{15} + 6 x^{11} + 3 x^{8} + 3$ |
$3$ |
$1$ |
$15$ |
$22$ |
$C_3^4:F_5$ (as 15T41) |
$4$ |
$5$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{4}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{4}$ |
$[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{4}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{4}$ |
$3$ |
$t + 1$ |
$x^{15} + 6 x^{11} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |
3.1.15.22a1.8 |
$15$ |
$x^{15} + 3 x^{12} + 6 x^{11} + 3 x^{8} + 3$ |
$3$ |
$1$ |
$15$ |
$22$ |
$C_3\wr F_5$ (as 15T56) |
$12$ |
$5$ |
$[\frac{9}{5}]$ |
$[\frac{4}{5}]$ |
$[\frac{9}{5}, \frac{9}{5}, \frac{9}{5}, \frac{9}{5}]_{5}^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5},\frac{4}{5}]_{5}^{12}$ |
$[\frac{9}{5},\frac{9}{5},\frac{9}{5}]^{12}$ |
$[\frac{4}{5},\frac{4}{5},\frac{4}{5}]^{12}$ |
$3$ |
$t + 1$ |
$x^{15} + 3 x^{12} + 6 x^{11} + 3 x^{8} + 3$ |
$[8, 0]$ |
$[4, 1]$ |
$z^{12} + 2 z^9 + z^6 + z^3 + 2,2 z^2 + 1$ |
undefined |