| Label |
$n$ |
Polynomial |
$p$ |
$e$ |
$f$ |
$c$ |
Galois group |
$u$ |
$t$ |
Visible slopes |
Slope content |
Unram. Ext. |
Eisen. Poly. |
Ind. of Insep. |
Assoc. Inertia |
| 3.12.22.1 |
$12$ |
$x^{12} + 42 x^{9} + 453 x^{6} + 324 x^{4} + 900 x^{3} + 756 x^{2} + 432 x + 180$ |
$3$ |
$6$ |
$2$ |
$22$ |
$C_6.D_6$ (as 12T39) |
$4$ |
$2$ |
$[5/2]$ |
$[3/2, 5/2]_{2}^{4}$ |
$t^{2} + 2 t + 2$ |
$x^{6} + 21 x^{3} + \left(18 t + 18\right) x^{2} + \left(18 t + 18\right) x + 12 t + 18$ |
$[6, 0]$ |
$[2, 1]$ |
| 3.12.22.10 |
$12$ |
$x^{12} + 48 x^{9} - 18 x^{8} + 18 x^{7} + 588 x^{6} - 432 x^{5} + 837 x^{4} + 450 x^{3} + 162 x^{2} + 162 x + 45$ |
$3$ |
$6$ |
$2$ |
$22$ |
$C_3^2:C_4\times S_3$ (as 12T119) |
$4$ |
$2$ |
$[5/2]$ |
$[2, 2, 5/2]_{2}^{4}$ |
$t^{2} + 2 t + 2$ |
$x^{6} + 24 x^{3} + \left(18 t + 9\right) x^{2} + \left(9 t + 18\right) x + 3 t + 9$ |
$[6, 0]$ |
$[2, 1]$ |
| 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) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{4} + 15 x^{3} + 9 x + 12$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.11 |
$12$ |
$x^{12} + 6 x^{9} + 327 x^{6} + 324 x^{4} + 90 x^{3} + 81 x^{2} + 54 x + 18$ |
$3$ |
$6$ |
$2$ |
$22$ |
$C_3^3:(C_4\times S_3)$ (as 12T170) |
$4$ |
$2$ |
$[5/2]$ |
$[3/2, 2, 2, 5/2]_{2}^{4}$ |
$t^{2} + 2 t + 2$ |
$x^{6} + \left(18 t + 21\right) x^{3} + \left(9 t + 9\right) x + 3 t$ |
$[6, 0]$ |
$[2, 1]$ |
| 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) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{2} + 9 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.115 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{9} + 18 x^{3} + 18 x^{2} + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{9} + 18 x^{3} + 18 x^{2} + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.116 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (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) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 24$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.12 |
$12$ |
$x^{12} + 30 x^{9} - 36 x^{8} + 219 x^{6} - 540 x^{5} + 648 x^{4} + 234 x^{3} + 945 x^{2} + 378 x + 450$ |
$3$ |
$6$ |
$2$ |
$22$ |
$S_3 \times C_4$ (as 12T11) |
$4$ |
$2$ |
$[5/2]$ |
$[5/2]_{2}^{4}$ |
$t^{2} + 2 t + 2$ |
$x^{6} + 15 x^{3} + 18 t x^{2} + \left(9 t + 9\right) x + 21 t + 18$ |
$[6, 0]$ |
$[2, 1]$ |
| 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) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 18 x^{3} + 18 x + 21$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.121 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 18 x + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 9 x^{5} + 9 x^{4} + 18 x^{2} + 18 x + 15$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.122 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 6 x^{6} + 18 x^{5} + 18 x^{4} + 18 x^{2} + 9 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (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) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 6 x^{6} + 18 x^{4} + 18 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.125 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{3} + 18 x^{2} + 18 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{3} + 18 x^{2} + 18 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.126 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 18 x^{5} + 18 x^{4} + 15$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (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) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{6} + 18 x^{4} + 9 x^{3} + 9 x^{2} + 18 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.13 |
$12$ |
$x^{12} - 6 x^{9} + 36 x^{8} + 480 x^{6} - 108 x^{5} + 1080 x^{4} + 36 x^{3} + 864 x^{2} + 108 x + 234$ |
$3$ |
$6$ |
$2$ |
$22$ |
$C_3^2:C_4\times S_3$ (as 12T119) |
$4$ |
$2$ |
$[5/2]$ |
$[2, 2, 5/2]_{2}^{4}$ |
$t^{2} + 2 t + 2$ |
$x^{6} + \left(21 t + 18\right) x^{3} + 18 x^{2} + \left(18 t + 18\right) x + 3 t + 18$ |
$[6, 0]$ |
$[2, 1]$ |
| 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) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 18 x^{5} + 9 x^{4} + 9 x^{3} + 9 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.133 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 24 x^{3} + 9 x^{2} + 21$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 24 x^{3} + 9 x^{2} + 21$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.134 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 6 x^{3} + 18 x + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (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) |
$2$ |
$8$ |
$[19/8]$ |
$[13/8, 13/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 15 x^{3} + 9 x^{2} + 9 x + 12$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.137 |
$12$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{5} + 12 x^{3} + 18 x + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$F_9:C_2$ (as 12T84) |
$2$ |
$8$ |
$[19/8]$ |
$[19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 3 x^{6} + 9 x^{5} + 12 x^{3} + 18 x + 3$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.138 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{2} + 12$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{9} + 3 x^{6} + 18 x^{2} + 12$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.139 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 3 x^{3} + 9 x^{2} + 24$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 3 x^{3} + 9 x^{2} + 24$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.14 |
$12$ |
$x^{12} - 24 x^{9} - 18 x^{8} + 18 x^{7} + 573 x^{6} + 972 x^{5} + 189 x^{4} + 738 x^{3} + 837 x^{2} - 108 x + 360$ |
$3$ |
$6$ |
$2$ |
$22$ |
$C_3\wr C_2^2$ (as 12T130) |
$2$ |
$2$ |
$[5/2]$ |
$[3/2, 2, 2, 5/2]_{2}^{2}$ |
$t^{2} + 2 t + 2$ |
$x^{6} + \left(21 t + 9\right) x^{3} + \left(18 t + 9\right) x^{2} + 9 x + 18 t + 12$ |
$[6, 0]$ |
$[1, 1]$ |
| 3.12.22.140 |
$12$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{4} + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 6 x^{6} + 9 x^{5} + 18 x^{4} + 3$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.141 |
$12$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 21 x^{3} + 18 x + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 3 x^{9} + 3 x^{6} + 9 x^{5} + 21 x^{3} + 18 x + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.142 |
$12$ |
$x^{12} + 3 x^{11} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 6$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 3 x^{11} + 18 x^{4} + 3 x^{3} + 9 x^{2} + 6$ |
$[11, 0]$ |
$[1, 2]$ |
| 3.12.22.143 |
$12$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 18 x^{4} + 9 x^{3} + 9 x + 3$ |
$3$ |
$12$ |
$1$ |
$22$ |
$C_3^4:\SD_{16}$ (as 12T212) |
$2$ |
$8$ |
$[19/8]$ |
$[15/8, 15/8, 19/8, 19/8]_{8}^{2}$ |
$t + 1$ |
$x^{12} + 6 x^{11} + 6 x^{9} + 18 x^{4} + 9 x^{3} + 9 x + 3$ |
$[11, 0]$ |
$[1, 2]$ |
