| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 3.9.12.22 |
$9$ |
$x^{9} + 6 x^{4} + 6 x^{3} + 3$ |
$3$ |
$9$ |
$1$ |
$12$ |
$C_3^2 : C_6$ (as 9T11) |
$3$ |
$2$ |
$[3/2, 3/2]$ |
$[3/2, 3/2]_{2}^{3}$ |
$t + 1$ |
$x^{9} + 6 x^{4} + 6 x^{3} + 3$ |
$[4, 3, 0]$ |
$[3]$ |
| 3.9.12.23 |
$9$ |
$x^{9} + 6 x^{4} + 3 x^{3} + 3$ |
$3$ |
$9$ |
$1$ |
$12$ |
$C_3^2 : C_6$ (as 9T11) |
$3$ |
$2$ |
$[3/2, 3/2]$ |
$[3/2, 3/2]_{2}^{3}$ |
$t + 1$ |
$x^{9} + 6 x^{4} + 3 x^{3} + 3$ |
$[4, 3, 0]$ |
$[3]$ |
| 3.9.16.5 |
$9$ |
$x^{9} + 3 x^{8} + 6 x^{6} + 3$ |
$3$ |
$9$ |
$1$ |
$16$ |
$C_3^2 : C_6$ (as 9T11) |
$6$ |
$1$ |
$[2, 2]$ |
$[2, 2]^{6}$ |
$t + 1$ |
$x^{9} + 3 x^{8} + 6 x^{6} + 3$ |
$[8, 6, 0]$ |
$[6]$ |
| 3.9.18.10 |
$9$ |
$x^{9} + 3 x^{6} + 9 x^{2} + 9 x + 3$ |
$3$ |
$9$ |
$1$ |
$18$ |
$C_3^2 : C_6$ (as 9T11) |
$2$ |
$1$ |
$[2, 7/3]$ |
$[2, 2, 7/3]^{2}$ |
$t + 1$ |
$x^{9} + 3 x^{6} + 9 x^{2} + 9 x + 3$ |
$[10, 6, 0]$ |
$[2, 2]$ |
| 3.9.18.11 |
$9$ |
$x^{9} + 3 x^{6} + 9 x + 3$ |
$3$ |
$9$ |
$1$ |
$18$ |
$C_3^2 : C_6$ (as 9T11) |
$2$ |
$1$ |
$[2, 7/3]$ |
$[2, 2, 7/3]^{2}$ |
$t + 1$ |
$x^{9} + 3 x^{6} + 9 x + 3$ |
$[10, 6, 0]$ |
$[2, 2]$ |
| 3.9.18.12 |
$9$ |
$x^{9} + 3 x^{6} + 9 x + 21$ |
$3$ |
$9$ |
$1$ |
$18$ |
$C_3^2 : C_6$ (as 9T11) |
$2$ |
$1$ |
$[2, 7/3]$ |
$[2, 2, 7/3]^{2}$ |
$t + 1$ |
$x^{9} + 3 x^{6} + 9 x + 21$ |
$[10, 6, 0]$ |
$[2, 2]$ |
| 3.9.18.24 |
$9$ |
$x^{9} + 6 x^{6} + 6 x^{3} + 18 x^{2} + 9 x + 3$ |
$3$ |
$9$ |
$1$ |
$18$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[3/2, 5/2]$ |
$[3/2, 2, 5/2]_{2}$ |
$t + 1$ |
$x^{9} + 6 x^{6} + 6 x^{3} + 18 x^{2} + 9 x + 3$ |
$[10, 3, 0]$ |
$[1, 1]$ |
| 3.9.18.29 |
$9$ |
$x^{9} + 6 x^{6} + 18 x^{5} + 18 x^{4} + 6 x^{3} + 18 x^{2} + 9 x + 21$ |
$3$ |
$9$ |
$1$ |
$18$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[3/2, 5/2]$ |
$[3/2, 2, 5/2]_{2}$ |
$t + 1$ |
$x^{9} + 6 x^{6} + 18 x^{5} + 18 x^{4} + 6 x^{3} + 18 x^{2} + 9 x + 21$ |
$[10, 3, 0]$ |
$[1, 1]$ |
| 3.9.18.31 |
$9$ |
$x^{9} + 18 x^{5} + 9 x^{4} + 6 x^{3} + 9 x^{2} + 9 x + 21$ |
$3$ |
$9$ |
$1$ |
$18$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[3/2, 5/2]$ |
$[3/2, 2, 5/2]_{2}$ |
$t + 1$ |
$x^{9} + 18 x^{5} + 9 x^{4} + 6 x^{3} + 9 x^{2} + 9 x + 21$ |
$[10, 3, 0]$ |
$[1, 1]$ |
| 3.9.18.4 |
$9$ |
$x^{9} + 9 x^{5} + 18 x^{4} + 21 x^{3} + 9 x^{2} + 9 x + 3$ |
$3$ |
$9$ |
$1$ |
$18$ |
$C_3^2 : C_6$ (as 9T11) |
$3$ |
$2$ |
$[3/2, 5/2]$ |
$[3/2, 5/2]_{2}^{3}$ |
$t + 1$ |
$x^{9} + 9 x^{5} + 18 x^{4} + 21 x^{3} + 9 x^{2} + 9 x + 3$ |
$[10, 3, 0]$ |
$[1, 1]$ |
| 3.9.18.5 |
$9$ |
$x^{9} + 18 x^{5} + 9 x^{4} + 12 x^{3} + 9 x^{2} + 9 x + 3$ |
$3$ |
$9$ |
$1$ |
$18$ |
$C_3^2 : C_6$ (as 9T11) |
$3$ |
$2$ |
$[3/2, 5/2]$ |
$[3/2, 5/2]_{2}^{3}$ |
$t + 1$ |
$x^{9} + 18 x^{5} + 9 x^{4} + 12 x^{3} + 9 x^{2} + 9 x + 3$ |
$[10, 3, 0]$ |
$[1, 1]$ |
| 3.9.22.43 |
$9$ |
$x^{9} + 18 x^{7} + 18 x^{6} + 18 x^{5} + 3$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 18 x^{7} + 18 x^{6} + 18 x^{5} + 3$ |
$[14, 9, 0]$ |
$[1, 1]$ |
| 3.9.22.44 |
$9$ |
$x^{9} + 18 x^{5} + 18 x^{3} + 21$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 18 x^{5} + 18 x^{3} + 21$ |
$[14, 9, 0]$ |
$[1, 1]$ |
| 3.9.22.45 |
$9$ |
$x^{9} + 18 x^{7} + 18 x^{5} + 21$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 18 x^{7} + 18 x^{5} + 21$ |
$[14, 9, 0]$ |
$[1, 1]$ |
| 3.9.22.46 |
$9$ |
$x^{9} + 18 x^{5} + 3$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 18 x^{5} + 3$ |
$[14, 9, 0]$ |
$[1, 1]$ |
| 3.9.22.47 |
$9$ |
$x^{9} + 18 x^{5} + 21$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 18 x^{5} + 21$ |
$[14, 9, 0]$ |
$[1, 1]$ |
| 3.9.22.48 |
$9$ |
$x^{9} + 9 x^{7} + 18 x^{6} + 18 x^{5} + 9 x^{3} + 3$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 9 x^{7} + 18 x^{6} + 18 x^{5} + 9 x^{3} + 3$ |
$[14, 9, 0]$ |
$[1, 1]$ |
| 3.9.22.49 |
$9$ |
$x^{9} + 18 x^{5} + 18 x^{3} + 3$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 18 x^{5} + 18 x^{3} + 3$ |
$[14, 9, 0]$ |
$[1, 1]$ |
| 3.9.22.50 |
$9$ |
$x^{9} + 9 x^{7} + 9 x^{6} + 18 x^{5} + 3$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 9 x^{7} + 9 x^{6} + 18 x^{5} + 3$ |
$[14, 9, 0]$ |
$[1, 1]$ |
| 3.9.22.51 |
$9$ |
$x^{9} + 9 x^{8} + 18 x^{6} + 18 x^{5} + 9 x^{3} + 3$ |
$3$ |
$9$ |
$1$ |
$22$ |
$C_3^2 : C_6$ (as 9T11) |
$1$ |
$2$ |
$[5/2, 17/6]$ |
$[2, 5/2, 17/6]_{2}$ |
$t + 1$ |
$x^{9} + 9 x^{8} + 18 x^{6} + 18 x^{5} + 9 x^{3} + 3$ |
$[14, 9, 0]$ |
$[1, 1]$ |
