Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
3.9.9.11 |
$9$ |
$x^{9} + 3 x + 3$ |
$3$ |
$9$ |
$1$ |
$9$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[9/8, 9/8]$ |
$[9/8, 9/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 3 x + 3$ |
$[1, 1, 0]$ |
$[1]$ |
3.9.9.12 |
$9$ |
$x^{9} + 6 x + 3$ |
$3$ |
$9$ |
$1$ |
$9$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[9/8, 9/8]$ |
$[9/8, 9/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 6 x + 3$ |
$[1, 1, 0]$ |
$[1]$ |
3.9.13.1 |
$9$ |
$x^{9} + 6 x^{5} + 3$ |
$3$ |
$9$ |
$1$ |
$13$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[13/8, 13/8]$ |
$[13/8, 13/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 6 x^{5} + 3$ |
$[5, 5, 0]$ |
$[1]$ |
3.9.13.6 |
$9$ |
$x^{9} + 3 x^{5} + 3$ |
$3$ |
$9$ |
$1$ |
$13$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[13/8, 13/8]$ |
$[13/8, 13/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 3 x^{5} + 3$ |
$[5, 5, 0]$ |
$[1]$ |
3.9.15.16 |
$9$ |
$x^{9} + 3 x^{7} + 3 x^{6} + 3$ |
$3$ |
$9$ |
$1$ |
$15$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[15/8, 15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 3 x^{7} + 3 x^{6} + 3$ |
$[7, 6, 0]$ |
$[1]$ |
3.9.15.17 |
$9$ |
$x^{9} + 3 x^{7} + 3$ |
$3$ |
$9$ |
$1$ |
$15$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[15/8, 15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 3 x^{7} + 3$ |
$[7, 7, 0]$ |
$[1]$ |
3.9.15.18 |
$9$ |
$x^{9} + 3 x^{7} + 6 x^{6} + 3$ |
$3$ |
$9$ |
$1$ |
$15$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[15/8, 15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 3 x^{7} + 6 x^{6} + 3$ |
$[7, 6, 0]$ |
$[1]$ |
3.9.15.31 |
$9$ |
$x^{9} + 6 x^{7} + 3$ |
$3$ |
$9$ |
$1$ |
$15$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[15/8, 15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 6 x^{7} + 3$ |
$[7, 7, 0]$ |
$[1]$ |
3.9.15.32 |
$9$ |
$x^{9} + 6 x^{7} + 6 x^{6} + 3$ |
$3$ |
$9$ |
$1$ |
$15$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[15/8, 15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 6 x^{7} + 6 x^{6} + 3$ |
$[7, 6, 0]$ |
$[1]$ |
3.9.15.33 |
$9$ |
$x^{9} + 6 x^{7} + 3 x^{6} + 3$ |
$3$ |
$9$ |
$1$ |
$15$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[15/8, 15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 6 x^{7} + 3 x^{6} + 3$ |
$[7, 6, 0]$ |
$[1]$ |
3.9.19.4 |
$9$ |
$x^{9} + 9 x^{2} + 3$ |
$3$ |
$9$ |
$1$ |
$19$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[19/8, 19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 9 x^{2} + 3$ |
$[11, 9, 0]$ |
$[1]$ |
3.9.19.5 |
$9$ |
$x^{9} + 9 x^{2} + 21$ |
$3$ |
$9$ |
$1$ |
$19$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[19/8, 19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 9 x^{2} + 21$ |
$[11, 9, 0]$ |
$[1]$ |
3.9.19.55 |
$9$ |
$x^{9} + 18 x^{2} + 3$ |
$3$ |
$9$ |
$1$ |
$19$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[19/8, 19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 18 x^{2} + 3$ |
$[11, 9, 0]$ |
$[1]$ |
3.9.19.56 |
$9$ |
$x^{9} + 9 x^{3} + 18 x^{2} + 3$ |
$3$ |
$9$ |
$1$ |
$19$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[19/8, 19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 9 x^{3} + 18 x^{2} + 3$ |
$[11, 9, 0]$ |
$[1]$ |
3.9.19.57 |
$9$ |
$x^{9} + 18 x^{3} + 18 x^{2} + 21$ |
$3$ |
$9$ |
$1$ |
$19$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[19/8, 19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 18 x^{3} + 18 x^{2} + 21$ |
$[11, 9, 0]$ |
$[1]$ |
3.9.19.6 |
$9$ |
$x^{9} + 18 x^{4} + 18 x^{3} + 9 x^{2} + 3$ |
$3$ |
$9$ |
$1$ |
$19$ |
$(C_3^2:C_8):C_2$ (as 9T19) |
$2$ |
$8$ |
$[19/8, 19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{9} + 18 x^{4} + 18 x^{3} + 9 x^{2} + 3$ |
$[11, 9, 0]$ |
$[1]$ |