| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 3.12.12.29 |
$12$ |
$x^{12} + 3 x + 3$ |
$3$ |
$12$ |
$1$ |
$12$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[9/8]$ |
$[9/8, 9/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x + 3$ |
$[1, 0]$ |
$[1, 2]$ |
| 3.12.12.30 |
$12$ |
$x^{12} + 3 x^{2} + 3 x + 6$ |
$3$ |
$12$ |
$1$ |
$12$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[9/8]$ |
$[9/8, 9/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{2} + 3 x + 6$ |
$[1, 0]$ |
$[1, 2]$ |
| 3.12.16.47 |
$12$ |
$x^{12} + 3 x^{5} + 3$ |
$3$ |
$12$ |
$1$ |
$16$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[13/8]$ |
$[13/8, 13/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{5} + 3$ |
$[5, 0]$ |
$[1, 2]$ |
| 3.12.16.48 |
$12$ |
$x^{12} + 6 x^{7} + 3 x^{6} + 3 x^{5} + 6$ |
$3$ |
$12$ |
$1$ |
$16$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[13/8]$ |
$[13/8, 13/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{7} + 3 x^{6} + 3 x^{5} + 6$ |
$[5, 0]$ |
$[1, 2]$ |
| 3.12.18.100 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{7} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{9} + 3 x^{7} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
| 3.12.18.104 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{7} + 3 x^{6} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{7} + 3 x^{6} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
| 3.12.18.89 |
$12$ |
$x^{12} + 3 x^{7} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
| 3.12.18.91 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{6} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 3 x^{9} + 6 x^{8} + 6 x^{7} + 3 x^{6} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
| 3.12.18.94 |
$12$ |
$x^{12} + 3 x^{9} + 3 x^{8} + 3 x^{7} + 6 x^{6} + 3 x^{3} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{9} + 3 x^{8} + 3 x^{7} + 6 x^{6} + 3 x^{3} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
| 3.12.18.96 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{7} + 6 x^{6} + 6 x^{3} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[15/8]$ |
$[15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{7} + 6 x^{6} + 6 x^{3} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
| 3.12.22.115 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{9} + 18 x^{3} + 18 x^{2} + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{9} + 18 x^{3} + 18 x^{2} + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.121 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 18 x + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 18 x + 15$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.125 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{3} + 18 x^{2} + 18 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{3} + 18 x^{2} + 18 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.133 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 24 x^{3} + 9 x^{2} + 21$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 24 x^{3} + 9 x^{2} + 21$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.137 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{5} + 12 x^{3} + 18 x + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{5} + 12 x^{3} + 18 x + 3$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.148 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{3} + 18 x + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{3} + 18 x + 3$ |
$[11, 0]$ |
$[1, 2]$ |
