Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
3.12.16.49 |
$12$ |
$x^{12} + 3 x^{8} + 3 x^{7} + 3 x^{5} + 3 x^{3} + 6$ |
$3$ |
$12$ |
$1$ |
$16$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[13/8]$ |
$[9/8, 9/8, 13/8, 13/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{8} + 3 x^{7} + 3 x^{5} + 3 x^{3} + 6$ |
$[5, 0]$ |
$[1, 2]$ |
3.12.16.50 |
$12$ |
$x^{12} + 3 x^{6} + 3 x^{5} + 6$ |
$3$ |
$12$ |
$1$ |
$16$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[13/8]$ |
$[9/8, 9/8, 13/8, 13/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{6} + 3 x^{5} + 6$ |
$[5, 0]$ |
$[1, 2]$ |
3.12.16.51 |
$12$ |
$x^{12} + 3 x^{8} + 6 x^{6} + 3 x^{5} + 3$ |
$3$ |
$12$ |
$1$ |
$16$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[13/8]$ |
$[9/8, 9/8, 13/8, 13/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{8} + 6 x^{6} + 3 x^{5} + 3$ |
$[5, 0]$ |
$[1, 2]$ |
3.12.16.52 |
$12$ |
$x^{12} + 3 x^{8} + 3 x^{6} + 3 x^{5} + 3$ |
$3$ |
$12$ |
$1$ |
$16$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[13/8]$ |
$[9/8, 9/8, 13/8, 13/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{8} + 3 x^{6} + 3 x^{5} + 3$ |
$[5, 0]$ |
$[1, 2]$ |
3.12.18.101 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{7} + 6 x^{6} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{7} + 6 x^{6} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.102 |
$12$ |
$x^{12} + 3 x^{9} + 3 x^{7} + 6 x^{3} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{9} + 3 x^{7} + 6 x^{3} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.103 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{6} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{8} + 6 x^{7} + 3 x^{6} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.105 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{7} + 6 x^{6} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{7} + 6 x^{6} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.106 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{7} + 6 x^{6} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{10} + 6 x^{9} + 3 x^{8} + 3 x^{7} + 6 x^{6} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.90 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{10} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.92 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 6 x^{8} + 3 x^{7} + 3 x^{6} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 6 x^{8} + 3 x^{7} + 3 x^{6} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.93 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{8} + 3 x^{7} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{8} + 3 x^{7} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.95 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{7} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{10} + 6 x^{7} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.97 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{8} + 6 x^{7} + 6 x^{3} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{8} + 6 x^{7} + 6 x^{3} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.98 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{9} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 6$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{9} + 6 x^{7} + 3 x^{6} + 6 x^{3} + 6$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.18.99 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{7} + 3 x^{6} + 3$ |
$3$ |
$12$ |
$1$ |
$18$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[15/8]$ |
$[9/8, 9/8, 15/8, 15/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{7} + 3 x^{6} + 3$ |
$[7, 0]$ |
$[1, 2]$ |
3.12.22.100 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 9 x^{3} + 9 x^{2} + 21$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{5} + 9 x^{3} + 9 x^{2} + 21$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.101 |
$12$ |
$x^{12} + 6 x^{11} + 9 x^{4} + 6 x^{3} + 18 x^{2} + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 9 x^{4} + 6 x^{3} + 18 x^{2} + 3$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.102 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 21$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{5} + 9 x^{4} + 9 x^{2} + 21$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.103 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 3 x^{6} + 15 x^{3} + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 3 x^{6} + 15 x^{3} + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.104 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 12$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.105 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{4} + 9 x^{2} + 18 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{4} + 9 x^{2} + 18 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.106 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 18 x + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 18 x + 15$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.107 |
$12$ |
$x^{12} + 3 x^{11} + 18 x^{4} + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 18 x^{4} + 3$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.108 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 18 x^{5} + 6 x^{3} + 18 x^{2} + 21$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 18 x^{5} + 6 x^{3} + 18 x^{2} + 21$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.109 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{4} + 15 x^{3} + 9 x + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{4} + 15 x^{3} + 9 x + 12$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.110 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 9 x^{5} + 18 x^{3} + 9 x + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 9 x^{5} + 18 x^{3} + 9 x + 12$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.111 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 9 x^{3} + 18 x^{2} + 21$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 9 x^{3} + 18 x^{2} + 21$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.112 |
$12$ |
$x^{12} + 6 x^{11} + 9 x^{5} + 18 x^{3} + 9 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 9 x^{5} + 18 x^{3} + 9 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.113 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{5} + 9 x + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{5} + 9 x + 15$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.114 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{2} + 9 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{2} + 9 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.116 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 15$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.117 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{4} + 9 x^{3} + 18 x + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{4} + 9 x^{3} + 18 x + 12$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.118 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{5} + 9 x^{4} + 18 x^{3} + 15$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.119 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 24$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 24$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.120 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{3} + 18 x + 21$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{3} + 18 x + 21$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.122 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 9 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 9 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.123 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{4} + 9 x^{3} + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{4} + 9 x^{3} + 3$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.124 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{4} + 18 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{4} + 18 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.126 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 15$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.127 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{2} + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{2} + 3$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.128 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 9 x^{5} + 21 x^{3} + 9 x^{2} + 18 x + 21$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 9 x^{5} + 21 x^{3} + 9 x^{2} + 18 x + 21$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.129 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.130 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 18 x + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 9 x^{5} + 18 x^{4} + 18 x^{3} + 18 x + 3$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.131 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{2} + 18 x + 24$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{2} + 18 x + 24$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.132 |
$12$ |
$x^{12} + 3 x^{11} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 9 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 9 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.134 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 6 x^{3} + 18 x + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 6 x^{3} + 18 x + 12$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.135 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{4} + 9 x^{3} + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{4} + 9 x^{3} + 6$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.136 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 15 x^{3} + 9 x^{2} + 9 x + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 15 x^{3} + 9 x^{2} + 9 x + 12$ |
$[11, 0]$ |
$[1, 2]$ |
3.12.22.138 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{2} + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{2} + 12$ |
$[11, 0]$ |
$[1, 2]$ |