| x15 + x2 - x + 1 |
3 |
1 |
15 |
0 |
$C_{15}$ (as 15T1) |
$ [\ ]^{15}$ |
| x15 - 9x5 + 27 |
3 |
5 |
3 |
12 |
$F_5\times C_3$ (as 15T8) |
$ [\ ]_{5}^{12}$ |
| x15 + 9x14 + 3x13 + 21x12 + 9x11 + 6x10 + 16x9 + 9x8 + 3x7 + 12x5 + 3x4 + 16x3 + 3x2 + 9x + 10 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 21x13 + 18x12 + 15x11 + 12x10 + 7x9 + 21x8 + 15x7 + 9x6 + 9x5 + 15x4 + 13x3 + 12x + 16 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 24x13 + 24x12 + 24x11 + 25x9 + 6x8 + 12x7 + 18x6 + 15x5 + 21x4 + 19x3 + 21x2 + 6x + 4 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 3x14 + 24x13 + 9x11 + 25x9 + 6x8 + 21x7 + 9x6 + 24x5 + 24x4 + 4x3 + 6x2 + 21x + 25 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 24x14 + 18x13 + 18x12 + 18x10 + 16x9 + 15x8 + 24x7 + 21x6 + 21x5 + 6x4 + 19x3 + 15x2 + 9x + 7 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 15x14 + 18x13 + 21x11 + 25x9 + 15x8 + 3x7 + 21x6 + 21x5 + 18x4 + 25x3 + 24x2 + 6x + 4 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 12x14 + 6x13 + 3x12 + 3x10 + 25x9 + 24x8 + 9x7 + 3x6 + 12x5 + 6x4 + 10x3 + 24x2 + 15x + 16 |
3 |
3 |
5 |
15 |
$S_3 \times C_5$ (as 15T4) |
$ [3/2]_{2}^{5}$ |
| x15 + 24x14 + 6x13 + 3x12 + 24x11 + 15x10 + x9 + 12x8 + 6x7 + 9x6 + 15x4 + x3 + 21x2 + 9x + 10 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 6x14 + 9x13 + 21x11 + 9x10 + 25x9 + 15x8 + 12x7 + 3x6 + 15x5 + 15x4 + 16x3 + 21x2 + 18x + 19 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 15x14 + 6x13 + 18x12 + 6x11 + 15x10 + 4x9 + 21x8 + 6x7 + 15x6 + 15x4 + 4x3 + 12x2 + 9x + 13 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 12x14 + 3x13 + 12x12 + 24x10 + 4x9 + 18x7 + 24x6 + 24x5 + 21x4 + 4x3 + 3x2 + 18x + 10 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 3x14 + 15x13 + 24x12 + 24x11 + 18x10 + 10x9 + 21x8 + 9x7 + 15x6 + 9x5 + 3x4 + 13x3 + 18x + 7 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 6x13 + 21x12 + 12x10 + 16x9 + 12x8 + 9x7 + 6x6 + 9x5 + 24x4 + 7x3 + 15x2 + 3x + 16 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 12x14 + 6x13 + 18x12 + 12x11 + 18x10 + x9 + 21x8 + 24x5 + 15x4 + 4x3 + 21x2 + 24x + 1 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 24x13 + 24x12 + 3x11 + 18x10 + 25x9 + 9x8 + 15x7 + 15x6 + 21x5 + 15x4 + 13x3 + 12x2 + 18x + 25 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 18x14 + 9x13 + 24x12 + 3x10 + 19x9 + 15x8 + 24x7 + 15x6 + 6x5 + 21x4 + 13x3 + 12x2 + 21x + 7 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 18x13 + 18x12 + 18x11 + 6x10 + 22x9 + 15x8 + 21x7 + 6x6 + 3x4 + 4x3 + 24x2 + 6x + 1 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 6x14 + 3x13 + 18x12 + 24x11 + 18x10 + 7x9 + 9x8 + 9x7 + 9x6 + 9x5 + 3x4 + 4x3 + 15x2 + 12x + 25 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 6x14 + 15x13 + 18x12 + 12x11 + 3x10 + 25x9 + 12x8 + 21x7 + 9x6 + 12x5 + 6x4 + 7x3 + 3x2 + 3x + 1 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 9x13 + 12x12 + 24x11 + 16x9 + 24x8 + 21x7 + 24x5 + 4x3 + 15x2 + 21x + 1 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 21x14 + 3x13 + 24x12 + 6x11 + 21x10 + 4x9 + 9x8 + 12x7 + 12x6 + 24x5 + 3x4 + 13x3 + 9x2 + 21x + 4 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 21x14 + 18x13 + 12x12 + 3x11 + x9 + 21x8 + 24x7 + 6x6 + 24x5 + 6x4 + 19x3 + 12x2 + 6x + 22 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 3x14 + 18x12 + 9x11 + 12x10 + 10x9 + 12x8 + 6x6 + 12x5 + 12x4 + 25x3 + 21x2 + 9x + 1 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 15x14 + 24x13 + 15x11 + 12x10 + 22x9 + 15x8 + 18x7 + 9x6 + 24x4 + 4x3 + 9x + 22 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 3x14 + 21x13 + 21x12 + 21x11 + 15x10 + 16x9 + 15x8 + 21x7 + 18x6 + 9x5 + 9x4 + 16x3 + 18x2 + 4 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 18x14 + 12x13 + 18x12 + 3x11 + 6x10 + 10x9 + 9x8 + 18x7 + 3x5 + 6x4 + 16x3 + 18x2 + 24x + 13 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 21x14 + 24x13 + 21x12 + 15x11 + 24x10 + x9 + 9x8 + 18x7 + 21x4 + 13x3 + 9x2 + 9x + 16 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 24x14 + 12x13 + 3x12 + 24x11 + 6x10 + x9 + 18x8 + 12x7 + 18x6 + 3x5 + 12x4 + 19x3 + 15x2 + 9x + 7 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 12x14 + 15x13 + 15x12 + 3x11 + 6x10 + 13x9 + 12x8 + 6x7 + 21x6 + 3x5 + 3x4 + 13x3 + 24x2 + 12x + 4 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 21x14 + 3x13 + 18x12 + 3x11 + 15x10 + 25x9 + 3x7 + 24x6 + 3x5 + 24x4 + 25x3 + 9x2 + 15x + 7 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 3x13 + 12x12 + 12x11 + 24x10 + 25x9 + 18x8 + 6x7 + 24x5 + 9x4 + 25x3 + 18x2 + 18x + 19 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 9x14 + 21x13 + 15x12 + 12x11 + 18x10 + 10x9 + 21x8 + 12x7 + 6x5 + 9x4 + x3 + 12x + 19 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 12x14 + 15x13 + 9x11 + 12x10 + 10x9 + 6x8 + 9x7 + 18x6 + 9x5 + 12x4 + 22x3 + 12x2 + 18x + 1 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 9x14 + 3x12 + 9x11 + 24x10 + 19x9 + 24x8 + 21x7 + 21x5 + 15x4 + 22x3 + 21x2 + 3x + 7 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 24x14 + 12x13 + 6x12 + 24x11 + 18x10 + 10x9 + 9x8 + 9x7 + 24x6 + 24x4 + 22x3 + 24x2 + 6x + 4 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 18x14 + 12x13 + 3x12 + 21x11 + 24x10 + 25x9 + 12x8 + 12x7 + 9x6 + 21x5 + 24x4 + 16x3 + 6x2 + 21x + 16 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 21x14 + 15x13 + 9x12 + 3x11 + 4x9 + 3x8 + 6x7 + 24x6 + 3x5 + 9x4 + x3 + 12x2 + 6x + 7 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 21x14 + 3x13 + 15x12 + 6x11 + 18x10 + 13x9 + 9x8 + 3x7 + 21x6 + 12x5 + 9x4 + 10x3 + 15x2 + 9x + 1 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 6x14 + 21x13 + 24x12 + 12x11 + 24x10 + 13x9 + 15x8 + 21x6 + 6x5 + 15x4 + 7x3 + 21x + 10 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 24x13 + 12x12 + 9x11 + 24x10 + 7x9 + 24x8 + 9x7 + 9x6 + 12x5 + 4x3 + 18x2 + 15x + 16 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 18x14 + 18x13 + 21x11 + 21x10 + 16x9 + 6x8 + 12x7 + 21x6 + 18x5 + 3x4 + 13x3 + 18x2 + 24x + 16 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 12x14 + 9x13 + 18x12 + 18x11 + 3x10 + 7x9 + 6x8 + 9x7 + 12x6 + 12x5 + 9x4 + 19x3 + 9x2 + 15x + 1 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 18x14 + 3x12 + 9x10 + 16x9 + 21x8 + 18x7 + 24x6 + 12x5 + 6x4 + 7x3 + 3x2 + 3x + 13 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 15x14 + 24x13 + 6x12 + 21x11 + 3x10 + x9 + 3x8 + 15x7 + 9x6 + 18x5 + 25x3 + 21x2 + 9x + 4 |
3 |
3 |
5 |
15 |
$S_3 \times C_5$ (as 15T4) |
$ [3/2]_{2}^{5}$ |
| x15 + 18x14 + 21x13 + 9x12 + 12x11 + 3x10 + 22x9 + 12x8 + 24x7 + 21x6 + 3x5 + 13x3 + 21x2 + 24x + 13 |
3 |
3 |
5 |
15 |
15T44 |
$ [3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 + 9x14 + 18x13 + 21x12 + 9x11 + 12x10 + 19x9 + 3x7 + 12x6 + 6x4 + 19x3 + 12x2 + 3x + 4 |
3 |
3 |
5 |
15 |
15T33 |
$ [3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| x15 - 3x12 - 3x11 + 3x10 - 3x9 + 3x8 + 3x7 - 3x6 + 3x - 3 |
3 |
15 |
1 |
15 |
15T52 |
$ [11/10, 11/10, 11/10, 11/10]_{10}^{4}$ |
| x15 - 3x14 + 3x13 + 3x11 + 3x10 - 3x7 - 3x6 - 3x5 + 3x3 - 3x2 - 3x - 3 |
3 |
15 |
1 |
15 |
15T52 |
$ [11/10, 11/10, 11/10, 11/10]_{10}^{4}$ |
