| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 3.15.24.10 |
$15$ |
$x^{15} + 6 x^{13} + 6 x^{11} + 3 x^{10} + 3 x^{6} + 3 x^{3} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{13} + 6 x^{11} + 3 x^{10} + 3 x^{6} + 3 x^{3} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.18 |
$15$ |
$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.19 |
$15$ |
$x^{15} + 3 x^{11} + 3 x^{10} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{11} + 3 x^{10} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.2 |
$15$ |
$x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.21 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 12$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{10} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 12$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.22 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.25 |
$15$ |
$x^{15} + 3 x^{13} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{13} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.26 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{10} + 3 x^{9} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{10} + 3 x^{9} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.28 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{13} + 3 x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.35 |
$15$ |
$x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 12$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 12$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.36 |
$15$ |
$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.37 |
$15$ |
$x^{15} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 12$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{13} + 3 x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 12$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.40 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{10} + 6 x^{9} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[6/5, 6/5, 6/5, 6/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{10} + 6 x^{9} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.41 |
$15$ |
$x^{15} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.43 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 12$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{13} + 3 x^{12} + 3 x^{10} + 3 x^{9} + 12$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.44 |
$15$ |
$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{10} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{12} + 3 x^{10} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.47 |
$15$ |
$x^{15} + 3 x^{13} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{13} + 3 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 3 x^{3} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.5 |
$15$ |
$x^{15} + 3 x^{13} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{13} + 3 x^{10} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.51 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.53 |
$15$ |
$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{14} + 3 x^{13} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.58 |
$15$ |
$x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{14} + 6 x^{13} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 21$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.6 |
$15$ |
$x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{13} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.61 |
$15$ |
$x^{15} + 6 x^{13} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 12$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{13} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 12$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.66 |
$15$ |
$x^{15} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.71 |
$15$ |
$x^{15} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[9/5, 9/5, 9/5, 9/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.24.81 |
$15$ |
$x^{15} + 3 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{6} + 6 x^{3} + 3$ |
$3$ |
$15$ |
$1$ |
$24$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[2]$ |
$[7/5, 7/5, 7/5, 7/5, 2]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 3 x^{13} + 6 x^{12} + 6 x^{11} + 3 x^{10} + 3 x^{6} + 6 x^{3} + 3$ |
$[10, 0]$ |
$[2, 4]$ |
| 3.15.28.102 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{3} + 9 x + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 3 x^{9} + 18 x^{6} + 18 x^{3} + 9 x + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.104 |
$15$ |
$x^{15} + 6 x^{14} + 12 x^{6} + 18 x^{5} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 18 x + 3$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 12 x^{6} + 18 x^{5} + 9 x^{4} + 3 x^{3} + 18 x^{2} + 18 x + 3$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.11 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{2} + 18 x + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 9 x^{6} + 18 x^{5} + 18 x^{2} + 18 x + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.114 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 9 x^{3} + 18 x + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 9 x^{3} + 18 x + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.116 |
$15$ |
$x^{15} + 6 x^{14} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 18 x^{2} + 18 x + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 18 x^{6} + 9 x^{4} + 18 x^{3} + 18 x^{2} + 18 x + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.117 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 12 x^{3} + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 3 x^{6} + 12 x^{3} + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.12 |
$15$ |
$x^{15} + 6 x^{14} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{3} + 9 x^{2} + 9 x + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{3} + 9 x^{2} + 9 x + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.121 |
$15$ |
$x^{15} + 6 x^{14} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 18 x + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 9 x^{6} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 18 x^{2} + 18 x + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.127 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 18 x^{6} + 18 x^{3} + 18 x^{2} + 9 x + 3$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 18 x^{6} + 18 x^{3} + 18 x^{2} + 9 x + 3$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.129 |
$15$ |
$x^{15} + 6 x^{14} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 9 x^{5} + 9 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.131 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 18 x^{2} + 3$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 3 x^{6} + 3 x^{3} + 18 x^{2} + 3$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.139 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{9} + 12 x^{6} + 9 x^{5} + 24 x^{3} + 18 x^{2} + 9 x + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{9} + 12 x^{6} + 9 x^{5} + 24 x^{3} + 18 x^{2} + 9 x + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.142 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 18 x^{3} + 18 x^{2} + 18 x + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{9} + 18 x^{6} + 18 x^{3} + 18 x^{2} + 18 x + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.143 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 12 x^{6} + 18 x^{5} + 18 x^{4} + 12 x^{3} + 9 x^{2} + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 12 x^{6} + 18 x^{5} + 18 x^{4} + 12 x^{3} + 9 x^{2} + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.144 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 18 x^{3} + 9 x^{2} + 9 x + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{9} + 18 x^{6} + 18 x^{3} + 9 x^{2} + 9 x + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.151 |
$15$ |
$x^{15} + 6 x^{14} + 18 x^{6} + 18 x^{5} + 18 x^{4} + 9 x^{2} + 9 x + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 18 x^{6} + 18 x^{5} + 18 x^{4} + 9 x^{2} + 9 x + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.152 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 18 x^{6} + 9 x + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 18 x^{6} + 9 x + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.158 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 3$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 3 x^{6} + 6 x^{3} + 3$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.159 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 21 x^{3} + 9 x^{2} + 18 x + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 21 x^{3} + 9 x^{2} + 18 x + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.16 |
$15$ |
$x^{15} + 6 x^{14} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 9 x^{2} + 18 x + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 9 x^{6} + 9 x^{4} + 18 x^{3} + 9 x^{2} + 18 x + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.165 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 21 x^{6} + 9 x^{4} + 24 x^{3} + 18 x^{2} + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 6 x^{9} + 21 x^{6} + 9 x^{4} + 24 x^{3} + 18 x^{2} + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.169 |
$15$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{2} + 9 x + 12$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 6 x^{12} + 6 x^{9} + 9 x^{6} + 18 x^{5} + 9 x^{4} + 9 x^{2} + 9 x + 12$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.179 |
$15$ |
$x^{15} + 6 x^{14} + 18 x^{6} + 18 x^{5} + 18 x^{4} + 9 x + 21$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 18 x^{6} + 18 x^{5} + 18 x^{4} + 9 x + 21$ |
$[14, 0]$ |
$[2, 4]$ |
| 3.15.28.184 |
$15$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 3$ |
$3$ |
$15$ |
$1$ |
$28$ |
$C_3^5:F_5$ (as 15T54) |
$4$ |
$5$ |
$[12/5]$ |
$[2, 12/5, 12/5, 12/5, 12/5]_{5}^{4}$ |
$t + 1$ |
$x^{15} + 6 x^{14} + 3 x^{12} + 3 x^{9} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 3$ |
$[14, 0]$ |
$[2, 4]$ |
