Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.12.28.113 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.116 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.117 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.121 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 4 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.124 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.140 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 8 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.149 |
$12$ |
$x^{12} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.150 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.151 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.156 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.160 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 8 x^{2} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.169 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.175 |
$12$ |
$x^{12} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.178 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.183 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{2} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.184 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.188 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 4 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.190 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.222 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.228 |
$12$ |
$x^{12} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.232 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.249 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{2} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.32 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 4 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.33 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.34 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.40 |
$12$ |
$x^{12} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.45 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.46 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.64 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 8 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.74 |
$12$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.82 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.84 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 12 x^{2} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.30.309 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{4} + 8 x^{3} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 8 x^{4} + 8 x^{3} + 8 x + 6$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.313 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.323 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.324 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.327 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 12 x^{4} + 8 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.351 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{2} + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.377 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{4} + 8 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.397 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 8 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.398 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x^{3} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x^{3} + 8 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.409 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.420 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{7} + 12 x^{4} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.421 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 8 x^{4} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.422 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 8 x^{3} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.426 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x^{4} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x^{4} + 8 x + 6$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.429 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.440 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.447 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 11/4, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.450 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_4^3:S_4$ (as 12T225) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 4 x^{4} + 8 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |