| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Slope content |
| 3.15.0.1 |
$15$ |
x15 + x2 - x + 1 |
$3$ |
$1$ |
$15$ |
$0$ |
$C_{15}$ (as 15T1) |
$15$ |
$1$ |
$[\ ]^{15}$ |
| 3.15.12.1 |
$15$ |
x15 - 9x5 + 27 |
$3$ |
$5$ |
$3$ |
$12$ |
$F_5\times C_3$ (as 15T8) |
$12$ |
$5$ |
$[\ ]_{5}^{12}$ |
| 3.15.15.1 |
$15$ |
x15 + 9x14 + 3x13 + 21x12 + 9x11 + 6x10 + 16x9 + 9x8 + 3x7 + 12x5 + 3x4 + 16x3 + 3x2 + 9x + 10 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.10 |
$15$ |
x15 + 21x13 + 18x12 + 15x11 + 12x10 + 7x9 + 21x8 + 15x7 + 9x6 + 9x5 + 15x4 + 13x3 + 12x + 16 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.11 |
$15$ |
x15 + 24x13 + 24x12 + 24x11 + 25x9 + 6x8 + 12x7 + 18x6 + 15x5 + 21x4 + 19x3 + 21x2 + 6x + 4 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.12 |
$15$ |
x15 + 3x14 + 24x13 + 9x11 + 25x9 + 6x8 + 21x7 + 9x6 + 24x5 + 24x4 + 4x3 + 6x2 + 21x + 25 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.13 |
$15$ |
x15 + 24x14 + 18x13 + 18x12 + 18x10 + 16x9 + 15x8 + 24x7 + 21x6 + 21x5 + 6x4 + 19x3 + 15x2 + 9x + 7 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.14 |
$15$ |
x15 + 15x14 + 18x13 + 21x11 + 25x9 + 15x8 + 3x7 + 21x6 + 21x5 + 18x4 + 25x3 + 24x2 + 6x + 4 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.15 |
$15$ |
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) |
$5$ |
$2$ |
$[3/2]_{2}^{5}$ |
| 3.15.15.16 |
$15$ |
x15 + 24x14 + 6x13 + 3x12 + 24x11 + 15x10 + x9 + 12x8 + 6x7 + 9x6 + 15x4 + x3 + 21x2 + 9x + 10 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.17 |
$15$ |
x15 + 6x14 + 9x13 + 21x11 + 9x10 + 25x9 + 15x8 + 12x7 + 3x6 + 15x5 + 15x4 + 16x3 + 21x2 + 18x + 19 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.18 |
$15$ |
x15 + 15x14 + 6x13 + 18x12 + 6x11 + 15x10 + 4x9 + 21x8 + 6x7 + 15x6 + 15x4 + 4x3 + 12x2 + 9x + 13 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.19 |
$15$ |
x15 + 12x14 + 3x13 + 12x12 + 24x10 + 4x9 + 18x7 + 24x6 + 24x5 + 21x4 + 4x3 + 3x2 + 18x + 10 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.2 |
$15$ |
x15 + 3x14 + 15x13 + 24x12 + 24x11 + 18x10 + 10x9 + 21x8 + 9x7 + 15x6 + 9x5 + 3x4 + 13x3 + 18x + 7 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.20 |
$15$ |
x15 + 6x13 + 21x12 + 12x10 + 16x9 + 12x8 + 9x7 + 6x6 + 9x5 + 24x4 + 7x3 + 15x2 + 3x + 16 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.21 |
$15$ |
x15 + 12x14 + 6x13 + 18x12 + 12x11 + 18x10 + x9 + 21x8 + 24x5 + 15x4 + 4x3 + 21x2 + 24x + 1 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.22 |
$15$ |
x15 + 24x13 + 24x12 + 3x11 + 18x10 + 25x9 + 9x8 + 15x7 + 15x6 + 21x5 + 15x4 + 13x3 + 12x2 + 18x + 25 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.23 |
$15$ |
x15 + 18x14 + 9x13 + 24x12 + 3x10 + 19x9 + 15x8 + 24x7 + 15x6 + 6x5 + 21x4 + 13x3 + 12x2 + 21x + 7 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.24 |
$15$ |
x15 + 18x13 + 18x12 + 18x11 + 6x10 + 22x9 + 15x8 + 21x7 + 6x6 + 3x4 + 4x3 + 24x2 + 6x + 1 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.25 |
$15$ |
x15 + 6x14 + 3x13 + 18x12 + 24x11 + 18x10 + 7x9 + 9x8 + 9x7 + 9x6 + 9x5 + 3x4 + 4x3 + 15x2 + 12x + 25 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.26 |
$15$ |
x15 + 6x14 + 15x13 + 18x12 + 12x11 + 3x10 + 25x9 + 12x8 + 21x7 + 9x6 + 12x5 + 6x4 + 7x3 + 3x2 + 3x + 1 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.27 |
$15$ |
x15 + 9x13 + 12x12 + 24x11 + 16x9 + 24x8 + 21x7 + 24x5 + 4x3 + 15x2 + 21x + 1 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.28 |
$15$ |
x15 + 21x14 + 3x13 + 24x12 + 6x11 + 21x10 + 4x9 + 9x8 + 12x7 + 12x6 + 24x5 + 3x4 + 13x3 + 9x2 + 21x + 4 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.29 |
$15$ |
x15 + 21x14 + 18x13 + 12x12 + 3x11 + x9 + 21x8 + 24x7 + 6x6 + 24x5 + 6x4 + 19x3 + 12x2 + 6x + 22 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.3 |
$15$ |
x15 + 3x14 + 18x12 + 9x11 + 12x10 + 10x9 + 12x8 + 6x6 + 12x5 + 12x4 + 25x3 + 21x2 + 9x + 1 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.30 |
$15$ |
x15 + 15x14 + 24x13 + 15x11 + 12x10 + 22x9 + 15x8 + 18x7 + 9x6 + 24x4 + 4x3 + 9x + 22 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.31 |
$15$ |
x15 + 3x14 + 21x13 + 21x12 + 21x11 + 15x10 + 16x9 + 15x8 + 21x7 + 18x6 + 9x5 + 9x4 + 16x3 + 18x2 + 4 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.32 |
$15$ |
x15 + 18x14 + 12x13 + 18x12 + 3x11 + 6x10 + 10x9 + 9x8 + 18x7 + 3x5 + 6x4 + 16x3 + 18x2 + 24x + 13 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.33 |
$15$ |
x15 + 21x14 + 24x13 + 21x12 + 15x11 + 24x10 + x9 + 9x8 + 18x7 + 21x4 + 13x3 + 9x2 + 9x + 16 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.34 |
$15$ |
x15 + 24x14 + 12x13 + 3x12 + 24x11 + 6x10 + x9 + 18x8 + 12x7 + 18x6 + 3x5 + 12x4 + 19x3 + 15x2 + 9x + 7 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.35 |
$15$ |
x15 + 12x14 + 15x13 + 15x12 + 3x11 + 6x10 + 13x9 + 12x8 + 6x7 + 21x6 + 3x5 + 3x4 + 13x3 + 24x2 + 12x + 4 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.36 |
$15$ |
x15 + 21x14 + 3x13 + 18x12 + 3x11 + 15x10 + 25x9 + 3x7 + 24x6 + 3x5 + 24x4 + 25x3 + 9x2 + 15x + 7 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.37 |
$15$ |
x15 + 3x13 + 12x12 + 12x11 + 24x10 + 25x9 + 18x8 + 6x7 + 24x5 + 9x4 + 25x3 + 18x2 + 18x + 19 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.38 |
$15$ |
x15 + 9x14 + 21x13 + 15x12 + 12x11 + 18x10 + 10x9 + 21x8 + 12x7 + 6x5 + 9x4 + x3 + 12x + 19 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.39 |
$15$ |
x15 + 12x14 + 15x13 + 9x11 + 12x10 + 10x9 + 6x8 + 9x7 + 18x6 + 9x5 + 12x4 + 22x3 + 12x2 + 18x + 1 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.4 |
$15$ |
x15 + 9x14 + 3x12 + 9x11 + 24x10 + 19x9 + 24x8 + 21x7 + 21x5 + 15x4 + 22x3 + 21x2 + 3x + 7 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.40 |
$15$ |
x15 + 24x14 + 12x13 + 6x12 + 24x11 + 18x10 + 10x9 + 9x8 + 9x7 + 24x6 + 24x4 + 22x3 + 24x2 + 6x + 4 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.41 |
$15$ |
x15 + 18x14 + 12x13 + 3x12 + 21x11 + 24x10 + 25x9 + 12x8 + 12x7 + 9x6 + 21x5 + 24x4 + 16x3 + 6x2 + 21x + 16 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.42 |
$15$ |
x15 + 21x14 + 15x13 + 9x12 + 3x11 + 4x9 + 3x8 + 6x7 + 24x6 + 3x5 + 9x4 + x3 + 12x2 + 6x + 7 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.43 |
$15$ |
x15 + 21x14 + 3x13 + 15x12 + 6x11 + 18x10 + 13x9 + 9x8 + 3x7 + 21x6 + 12x5 + 9x4 + 10x3 + 15x2 + 9x + 1 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.44 |
$15$ |
x15 + 6x14 + 21x13 + 24x12 + 12x11 + 24x10 + 13x9 + 15x8 + 21x6 + 6x5 + 15x4 + 7x3 + 21x + 10 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.45 |
$15$ |
x15 + 24x13 + 12x12 + 9x11 + 24x10 + 7x9 + 24x8 + 9x7 + 9x6 + 12x5 + 4x3 + 18x2 + 15x + 16 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.46 |
$15$ |
x15 + 18x14 + 18x13 + 21x11 + 21x10 + 16x9 + 6x8 + 12x7 + 21x6 + 18x5 + 3x4 + 13x3 + 18x2 + 24x + 16 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.47 |
$15$ |
x15 + 12x14 + 9x13 + 18x12 + 18x11 + 3x10 + 7x9 + 6x8 + 9x7 + 12x6 + 12x5 + 9x4 + 19x3 + 9x2 + 15x + 1 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.48 |
$15$ |
x15 + 18x14 + 3x12 + 9x10 + 16x9 + 21x8 + 18x7 + 24x6 + 12x5 + 6x4 + 7x3 + 3x2 + 3x + 13 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.49 |
$15$ |
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) |
$5$ |
$2$ |
$[3/2]_{2}^{5}$ |
| 3.15.15.5 |
$15$ |
x15 + 18x14 + 21x13 + 9x12 + 12x11 + 3x10 + 22x9 + 12x8 + 24x7 + 21x6 + 3x5 + 13x3 + 21x2 + 24x + 13 |
$3$ |
$3$ |
$5$ |
$15$ |
15T44 |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.50 |
$15$ |
x15 + 9x14 + 18x13 + 21x12 + 9x11 + 12x10 + 19x9 + 3x7 + 12x6 + 6x4 + 19x3 + 12x2 + 3x + 4 |
$3$ |
$3$ |
$5$ |
$15$ |
$C_3^4:C_{10}$ (as 15T33) |
$5$ |
$2$ |
$[3/2, 3/2, 3/2, 3/2]_{2}^{5}$ |
| 3.15.15.51 |
$15$ |
x15 - 3x12 - 3x11 + 3x10 - 3x9 + 3x8 + 3x7 - 3x6 + 3x - 3 |
$3$ |
$15$ |
$1$ |
$15$ |
15T52 |
$4$ |
$10$ |
$[11/10, 11/10, 11/10, 11/10]_{10}^{4}$ |
| 3.15.15.52 |
$15$ |
x15 - 3x14 + 3x13 + 3x11 + 3x10 - 3x7 - 3x6 - 3x5 + 3x3 - 3x2 - 3x - 3 |
$3$ |
$15$ |
$1$ |
$15$ |
15T52 |
$4$ |
$10$ |
$[11/10, 11/10, 11/10, 11/10]_{10}^{4}$ |
