Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.12.22.108 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{4} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{4} + 4 x + 2$ |
$[11, 6, 0]$ |
$[1, 1, 2]$ |
2.12.22.111 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 4 x + 2$ |
$[11, 6, 0]$ |
$[1, 1, 2]$ |
2.12.22.119 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{10} + 2 x^{6} + 4 x + 6$ |
$[11, 6, 0]$ |
$[1, 1, 2]$ |
2.12.22.81 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 7/3]$ |
$[4/3, 4/3, 2, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{8} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ |
$[11, 6, 0]$ |
$[1, 1, 2]$ |
2.12.24.346 |
$12$ |
$x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 8/3]$ |
$[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 6$ |
$[13, 6, 0]$ |
$[1, 1, 2]$ |
2.12.24.389 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 8/3]$ |
$[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x + 6$ |
$[13, 6, 0]$ |
$[1, 1, 2]$ |
2.12.24.422 |
$12$ |
$x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 8/3]$ |
$[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x + 2$ |
$[13, 6, 0]$ |
$[1, 1, 2]$ |
2.12.24.427 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$24$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 8/3]$ |
$[4/3, 4/3, 2, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x + 2$ |
$[13, 6, 0]$ |
$[1, 1, 2]$ |
2.12.26.123 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 10$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 10$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
2.12.26.18 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{3} + 4 x^{2} + 10$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
2.12.26.19 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 10$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
2.12.26.22 |
$12$ |
$x^{12} + 4 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 2$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
2.12.26.28 |
$12$ |
$x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 2 x^{6} + 4 x^{4} + 4 x^{3} + 6$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
2.12.26.68 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 7/3, 7/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{3} + 4 x^{2} + 6$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
2.12.26.96 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 14$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{3} + 14$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
2.12.26.98 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ |
$2$ |
$12$ |
$1$ |
$26$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 3]$ |
$[4/3, 4/3, 2, 8/3, 8/3, 3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 4 x^{3} + 6$ |
$[15, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.115 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{3} + 12 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.122 |
$12$ |
$x^{12} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.128 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.131 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.136 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 4 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.138 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.142 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.144 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.154 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 8 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.162 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.167 |
$12$ |
$x^{12} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.172 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.174 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.176 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{9} + 2 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.196 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 4 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.198 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.199 |
$12$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 6 x^{8} + 6 x^{6} + 4 x^{5} + 12 x^{2} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.204 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.210 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 4 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.214 |
$12$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.219 |
$12$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{9} + 4 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{2} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.226 |
$12$ |
$x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.23 |
$12$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{4} + 8 x + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.252 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 4 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 8 x^{3} + 4 x^{2} + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.3 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 2 x^{6} + 4 x^{5} + 8 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.38 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 4 x^{2} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.47 |
$12$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.53 |
$12$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 2 x^{8} + 2 x^{6} + 4 x^{5} + 12 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 10$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.59 |
$12$ |
$x^{12} + 4 x^{10} + 6 x^{6} + 4 x^{5} + 8 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{10} + 6 x^{6} + 4 x^{5} + 8 x^{2} + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.67 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 14$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{10} + 4 x^{9} + 6 x^{6} + 4 x^{5} + 4 x^{4} + 8 x^{3} + 14$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.68 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 8/3, 8/3, 3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 6 x^{8} + 4 x^{7} + 6 x^{6} + 4 x^{5} + 12 x^{4} + 12 x^{2} + 8 x + 2$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |
2.12.28.86 |
$12$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$28$ |
$C_2^4:S_4$ (as 12T145) |
$2$ |
$3$ |
$[2, 10/3]$ |
$[2, 2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 2 x^{8} + 6 x^{6} + 4 x^{5} + 8 x^{4} + 8 x^{3} + 4 x^{2} + 8 x + 6$ |
$[17, 6, 0]$ |
$[1, 1, 2]$ |