| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 5.15.18.46 |
$15$ |
$x^{15} + 5 x^{5} + 10 x^{4} + 5$ |
$5$ |
$15$ |
$1$ |
$18$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 5 x^{5} + 10 x^{4} + 5$ |
$[4, 0]$ |
$[1, 2]$ |
| 5.15.18.47 |
$15$ |
$x^{15} + 10 x^{5} + 10 x^{4} + 5$ |
$5$ |
$15$ |
$1$ |
$18$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 10 x^{5} + 10 x^{4} + 5$ |
$[4, 0]$ |
$[1, 2]$ |
| 5.15.18.48 |
$15$ |
$x^{15} + 20 x^{5} + 10 x^{4} + 5$ |
$5$ |
$15$ |
$1$ |
$18$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 20 x^{5} + 10 x^{4} + 5$ |
$[4, 0]$ |
$[1, 2]$ |
| 5.15.18.52 |
$15$ |
$x^{15} + 15 x^{5} + 10 x^{4} + 5$ |
$5$ |
$15$ |
$1$ |
$18$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[4/3]$ |
$[4/3, 4/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 15 x^{5} + 10 x^{4} + 5$ |
$[4, 0]$ |
$[1, 2]$ |
| 5.15.22.16 |
$15$ |
$x^{15} + 10 x^{10} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 10 x^{10} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.19 |
$15$ |
$x^{15} + 10 x^{10} + 20 x^{9} + 5 x^{8} + 5 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 10 x^{10} + 20 x^{9} + 5 x^{8} + 5 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.22 |
$15$ |
$x^{15} + 20 x^{10} + 5 x^{8} + 20 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 20 x^{10} + 5 x^{8} + 20 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.23 |
$15$ |
$x^{15} + 15 x^{10} + 10 x^{9} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 10 x^{9} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.24 |
$15$ |
$x^{15} + 20 x^{10} + 15 x^{9} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 20 x^{10} + 15 x^{9} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.25 |
$15$ |
$x^{15} + 10 x^{10} + 20 x^{9} + 5 x^{8} + 10 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 10 x^{10} + 20 x^{9} + 5 x^{8} + 10 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.26 |
$15$ |
$x^{15} + 10 x^{10} + 15 x^{9} + 5 x^{8} + 10 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 10 x^{10} + 15 x^{9} + 5 x^{8} + 10 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.27 |
$15$ |
$x^{15} + 5 x^{8} + 20 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 5 x^{8} + 20 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.28 |
$15$ |
$x^{15} + 5 x^{10} + 15 x^{9} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 5 x^{10} + 15 x^{9} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.29 |
$15$ |
$x^{15} + 15 x^{10} + 5 x^{9} + 5 x^{8} + 10 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 5 x^{9} + 5 x^{8} + 10 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.30 |
$15$ |
$x^{15} + 15 x^{10} + 10 x^{9} + 5 x^{8} + 10 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 10 x^{9} + 5 x^{8} + 10 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.31 |
$15$ |
$x^{15} + 5 x^{10} + 5 x^{8} + 10 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 5 x^{10} + 5 x^{8} + 10 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.33 |
$15$ |
$x^{15} + 20 x^{10} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 20 x^{10} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.34 |
$15$ |
$x^{15} + 15 x^{10} + 20 x^{9} + 5 x^{8} + 15 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 20 x^{9} + 5 x^{8} + 15 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.37 |
$15$ |
$x^{15} + 15 x^{10} + 20 x^{9} + 5 x^{8} + 20 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 20 x^{9} + 5 x^{8} + 20 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.38 |
$15$ |
$x^{15} + 10 x^{10} + 5 x^{9} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 10 x^{10} + 5 x^{9} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.39 |
$15$ |
$x^{15} + 5 x^{10} + 10 x^{9} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 5 x^{10} + 10 x^{9} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.4 |
$15$ |
$x^{15} + 15 x^{10} + 15 x^{9} + 5 x^{8} + 5 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 15 x^{9} + 5 x^{8} + 5 x^{5} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.40 |
$15$ |
$x^{15} + 5 x^{10} + 5 x^{9} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 5 x^{10} + 5 x^{9} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.22.7 |
$15$ |
$x^{15} + 15 x^{10} + 5 x^{9} + 5 x^{8} + 5$ |
$5$ |
$15$ |
$1$ |
$22$ |
$C_5\wr S_3$ (as 15T32) |
$10$ |
$3$ |
$[5/3]$ |
$[5/3, 5/3]_{3}^{10}$ |
$t + 3$ |
$x^{15} + 15 x^{10} + 5 x^{9} + 5 x^{8} + 5$ |
$[8, 0]$ |
$[1, 2]$ |
| 5.15.26.10 |
$15$ |
$x^{15} + 5 x^{14} + 10 x^{13} + 20 x^{12} + 10 x^{10} + 15 x^{5} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 5 x^{14} + 10 x^{13} + 20 x^{12} + 10 x^{10} + 15 x^{5} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.100 |
$15$ |
$x^{15} + 15 x^{14} + 15 x^{13} + 20 x^{12} + 20 x^{10} + 55$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{14} + 15 x^{13} + 20 x^{12} + 20 x^{10} + 55$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.101 |
$15$ |
$x^{15} + 10 x^{14} + 5 x^{13} + 20 x^{12} + 10 x^{10} + 5 x^{5} + 80$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 10 x^{14} + 5 x^{13} + 20 x^{12} + 10 x^{10} + 5 x^{5} + 80$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.102 |
$15$ |
$x^{15} + 20 x^{14} + 10 x^{13} + 20 x^{12} + 5 x^{10} + 20 x^{5} + 80$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 20 x^{14} + 10 x^{13} + 20 x^{12} + 5 x^{10} + 20 x^{5} + 80$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.103 |
$15$ |
$x^{15} + 20 x^{14} + 5 x^{13} + 20 x^{12} + 20 x^{10} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 20 x^{14} + 5 x^{13} + 20 x^{12} + 20 x^{10} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.105 |
$15$ |
$x^{15} + 5 x^{14} + 5 x^{13} + 20 x^{12} + 10 x^{5} + 80$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 5 x^{14} + 5 x^{13} + 20 x^{12} + 10 x^{5} + 80$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.106 |
$15$ |
$x^{15} + 20 x^{14} + 20 x^{13} + 20 x^{12} + 15 x^{10} + 20 x^{5} + 55$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 20 x^{14} + 20 x^{13} + 20 x^{12} + 15 x^{10} + 20 x^{5} + 55$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.107 |
$15$ |
$x^{15} + 10 x^{14} + 20 x^{12} + 10 x^{10} + 5 x^{5} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 10 x^{14} + 20 x^{12} + 10 x^{10} + 5 x^{5} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.108 |
$15$ |
$x^{15} + 15 x^{14} + 5 x^{13} + 20 x^{12} + 10 x^{10} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{14} + 5 x^{13} + 20 x^{12} + 10 x^{10} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.109 |
$15$ |
$x^{15} + 20 x^{13} + 20 x^{12} + 10 x^{10} + 5 x^{5} + 55$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 20 x^{13} + 20 x^{12} + 10 x^{10} + 5 x^{5} + 55$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.11 |
$15$ |
$x^{15} + 5 x^{14} + 5 x^{13} + 20 x^{12} + 5$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 5 x^{14} + 5 x^{13} + 20 x^{12} + 5$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.111 |
$15$ |
$x^{15} + 20 x^{14} + 20 x^{12} + 15 x^{10} + 10 x^{5} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 20 x^{14} + 20 x^{12} + 15 x^{10} + 10 x^{5} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.112 |
$15$ |
$x^{15} + 10 x^{14} + 15 x^{13} + 20 x^{12} + 10 x^{10} + 80$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 10 x^{14} + 15 x^{13} + 20 x^{12} + 10 x^{10} + 80$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.113 |
$15$ |
$x^{15} + 10 x^{14} + 20 x^{12} + 20 x^{5} + 105$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 10 x^{14} + 20 x^{12} + 20 x^{5} + 105$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.114 |
$15$ |
$x^{15} + 10 x^{14} + 15 x^{13} + 20 x^{12} + 10 x^{10} + 15 x^{5} + 55$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 10 x^{14} + 15 x^{13} + 20 x^{12} + 10 x^{10} + 15 x^{5} + 55$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.117 |
$15$ |
$x^{15} + 15 x^{14} + 20 x^{12} + 5 x^{10} + 5 x^{5} + 80$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{14} + 20 x^{12} + 5 x^{10} + 5 x^{5} + 80$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.118 |
$15$ |
$x^{15} + 15 x^{13} + 20 x^{12} + 15 x^{10} + 5 x^{5} + 55$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{13} + 20 x^{12} + 15 x^{10} + 5 x^{5} + 55$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.119 |
$15$ |
$x^{15} + 15 x^{14} + 20 x^{12} + 5 x^{10} + 20 x^{5} + 105$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{14} + 20 x^{12} + 5 x^{10} + 20 x^{5} + 105$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.121 |
$15$ |
$x^{15} + 15 x^{13} + 20 x^{12} + 20 x^{10} + 15 x^{5} + 5$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{13} + 20 x^{12} + 20 x^{10} + 15 x^{5} + 5$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.123 |
$15$ |
$x^{15} + 15 x^{13} + 20 x^{12} + 15 x^{10} + 10 x^{5} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 15 x^{13} + 20 x^{12} + 15 x^{10} + 10 x^{5} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.124 |
$15$ |
$x^{15} + 5 x^{14} + 5 x^{13} + 20 x^{12} + 20 x^{5} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[4/3, 4/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 5 x^{14} + 5 x^{13} + 20 x^{12} + 20 x^{5} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.125 |
$15$ |
$x^{15} + 10 x^{14} + 5 x^{13} + 20 x^{12} + 15 x^{10} + 15 x^{5} + 80$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 10 x^{14} + 5 x^{13} + 20 x^{12} + 15 x^{10} + 15 x^{5} + 80$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.126 |
$15$ |
$x^{15} + 10 x^{14} + 15 x^{13} + 20 x^{12} + 15 x^{10} + 20 x^{5} + 105$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 10 x^{14} + 15 x^{13} + 20 x^{12} + 15 x^{10} + 20 x^{5} + 105$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.129 |
$15$ |
$x^{15} + 20 x^{12} + 15 x^{10} + 10 x^{5} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 20 x^{12} + 15 x^{10} + 10 x^{5} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.131 |
$15$ |
$x^{15} + 5 x^{13} + 20 x^{12} + 15 x^{10} + 105$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 5 x^{13} + 20 x^{12} + 15 x^{10} + 105$ |
$[12, 0]$ |
$[1, 2]$ |
| 5.15.26.132 |
$15$ |
$x^{15} + 20 x^{14} + 15 x^{13} + 20 x^{12} + 10 x^{10} + 30$ |
$5$ |
$15$ |
$1$ |
$26$ |
$C_5\wr S_3$ (as 15T32) |
$2$ |
$3$ |
$[2]$ |
$[5/3, 5/3, 2]_{3}^{2}$ |
$t + 3$ |
$x^{15} + 20 x^{14} + 15 x^{13} + 20 x^{12} + 10 x^{10} + 30$ |
$[12, 0]$ |
$[1, 2]$ |
