Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
2.12.20.73 |
$12$ |
$x^{12} + 2 x^{9} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{9} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
2.12.20.80 |
$12$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$2$ |
$12$ |
$1$ |
$20$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 7/3]$ |
$[4/3, 4/3, 2, 7/3, 7/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 2 x^{9} + 2 x^{4} + 4 x^{3} + 2 x^{2} + 4 x + 2$ |
$[9, 2, 0]$ |
$[1, 1, 2]$ |
2.12.22.129 |
$12$ |
$x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 2 x^{2} + 4 x + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 4 x^{8} + 4 x^{7} + 4 x^{5} + 2 x^{4} + 2 x^{2} + 4 x + 6$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
2.12.22.132 |
$12$ |
$x^{12} + 2 x^{11} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$22$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 8/3]$ |
$[4/3, 4/3, 2, 8/3, 8/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{11} + 4 x^{7} + 2 x^{6} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 6$ |
$[11, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.104 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{4} + 6 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{4} + 6 x^{2} + 8 x + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.2 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{6} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{6} + 4 x^{5} + 6 x^{4} + 2 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.46 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{6} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 8 x + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{6} + 4 x^{5} + 6 x^{4} + 10 x^{2} + 8 x + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.53 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{4} + 14 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{9} + 4 x^{8} + 4 x^{7} + 2 x^{4} + 14 x^{2} + 10$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.61 |
$12$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 4 x^{5} + 6 x^{4} + 4 x^{3} + 10 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 4 x^{8} + 2 x^{6} + 4 x^{5} + 6 x^{4} + 4 x^{3} + 10 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.66 |
$12$ |
$x^{12} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.7 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 6$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{9} + 6 x^{8} + 4 x^{6} + 4 x^{5} + 2 x^{4} + 6 x^{2} + 6$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.25.79 |
$12$ |
$x^{12} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$25$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[4/3, 19/6]$ |
$[4/3, 4/3, 3, 19/6, 19/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{6} + 2 x^{4} + 4 x^{3} + 6 x^{2} + 8 x + 2$ |
$[14, 2, 0]$ |
$[1, 1, 2]$ |
2.12.30.310 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 12 x^{2} + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.338 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.369 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.400 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 8 x + 14$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 8 x + 14$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.494 |
$12$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 2 x^{10} + 4 x^{7} + 4 x^{6} + 12 x^{4} + 12 x^{2} + 8 x + 10$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.515 |
$12$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 4 x^{11} + 6 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.532 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{7} + 4 x^{4} + 4 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.30.559 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$30$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 10/3]$ |
$[2, 8/3, 8/3, 10/3, 10/3]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 4 x^{7} + 4 x^{6} + 8 x^{4} + 12 x^{2} + 8 x + 2$ |
$[19, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.407 |
$12$ |
$x^{12} + 2 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.419 |
$12$ |
$x^{12} + 10 x^{10} + 8 x^{9} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{10} + 8 x^{9} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.448 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 4 x^{6} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.459 |
$12$ |
$x^{12} + 10 x^{10} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{10} + 4 x^{6} + 12 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.464 |
$12$ |
$x^{12} + 6 x^{10} + 8 x^{9} + 8 x^{8} + 4 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 8 x^{9} + 8 x^{8} + 4 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.469 |
$12$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 4 x^{8} + 8 x^{4} + 8 x^{3} + 12 x^{2} + 8 x + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.492 |
$12$ |
$x^{12} + 14 x^{10} + 12 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 14 x^{10} + 12 x^{8} + 4 x^{6} + 8 x^{5} + 8 x^{3} + 4 x^{2} + 8 x + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.521 |
$12$ |
$x^{12} + 10 x^{10} + 8 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{10} + 8 x^{9} + 8 x^{8} + 4 x^{6} + 8 x^{5} + 4 x^{4} + 12 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.532 |
$12$ |
$x^{12} + 6 x^{10} + 8 x^{8} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 8 x^{8} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.552 |
$12$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.622 |
$12$ |
$x^{12} + 2 x^{10} + 8 x^{9} + 12 x^{8} + 4 x^{6} + 4 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 2 x^{10} + 8 x^{9} + 12 x^{8} + 4 x^{6} + 4 x^{2} + 8 x + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.644 |
$12$ |
$x^{12} + 10 x^{10} + 12 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{2} + 8 x + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 10 x^{10} + 12 x^{8} + 8 x^{7} + 4 x^{6} + 8 x^{5} + 12 x^{2} + 8 x + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.667 |
$12$ |
$x^{12} + 6 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 8 x^{9} + 4 x^{8} + 8 x^{4} + 4 x^{2} + 8 x + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.677 |
$12$ |
$x^{12} + 14 x^{10} + 8 x^{9} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 14 x^{10} + 8 x^{9} + 12 x^{6} + 4 x^{4} + 8 x^{3} + 12 x^{2} + 10$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.746 |
$12$ |
$x^{12} + 6 x^{10} + 8 x^{9} + 8 x^{7} + 12 x^{4} + 4 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 8 x^{9} + 8 x^{7} + 12 x^{4} + 4 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |
2.12.33.753 |
$12$ |
$x^{12} + 6 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 2$ |
$2$ |
$12$ |
$1$ |
$33$ |
$C_2^3:S_4$ (as 12T111) |
$2$ |
$3$ |
$[8/3, 23/6]$ |
$[8/3, 8/3, 3, 23/6, 23/6]_{3}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{10} + 8 x^{9} + 8 x^{8} + 8 x^{5} + 12 x^{4} + 12 x^{2} + 2$ |
$[22, 10, 0]$ |
$[1, 1, 2]$ |