| 12.0.479174066176.1 |
x12 - 4x11 + 8x10 - 8x9 + 12x7 - 16x6 + 12x5 - 8x3 + 8x2 - 4x + 1 |
\( 2^{24}\cdot 13^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.699484667904.2 |
x12 - 2x11 + 2x10 - 4x8 + 8x7 - 8x6 + 4x5 + 4x4 - 8x3 + 8x2 - 8x + 4 |
\( 2^{16}\cdot 3^{6}\cdot 11^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.835600748544.2 |
x12 - x10 - x8 + 3x4 - 2x2 + 1 |
\( 2^{12}\cdot 3^{6}\cdot 23^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.951356390625.1 |
x12 - x11 - 4x10 + 10x9 - 3x8 - 14x7 + 25x6 - 25x5 + 18x4 - 7x3 + 2x2 - 2x + 1 |
\( 3^{6}\cdot 5^{6}\cdot 17^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.982540877824.2 |
x12 - 5x8 + 11x4 + 1 |
\( 2^{26}\cdot 11^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.1255701777561.1 |
x12 - x11 - 2x10 - 5x9 + 7x8 + 8x7 - 7x6 + 8x5 + 7x4 - 5x3 - 2x2 - x + 1 |
\( 3^{6}\cdot 7^{6}\cdot 11^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.2111929749504.2 |
x12 - 7x10 + 18x8 - 20x6 + 9x4 - x2 + 1 |
\( 2^{12}\cdot 3^{6}\cdot 29^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.2111929749504.3 |
x12 - 4x9 - x8 - 2x7 + 8x6 + 2x5 + 5x4 - 10x3 + 2x2 - 4x + 4 |
\( 2^{12}\cdot 3^{6}\cdot 29^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.2186423566336.1 |
x12 - 4x11 + 8x10 - 12x9 + 24x8 - 44x7 + 56x6 - 44x5 + 24x4 - 12x3 + 8x2 - 4x + 1 |
\( 2^{24}\cdot 19^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.2458624000000.1 |
x12 + 5x10 + 10x8 + 17x6 + 10x4 + 5x2 + 1 |
\( 2^{16}\cdot 5^{6}\cdot 7^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.2757618929664.1 |
x12 + 2x10 + 3x8 + 4x6 + 3x4 - x2 + 1 |
\( 2^{12}\cdot 3^{6}\cdot 31^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.3100814593569.1 |
x12 - 2x11 - 4x10 + 5x9 + 8x8 - 5x7 + 5x6 + 2x5 - 13x4 - 8x3 + 8x2 + 5x + 1 |
\( 3^{6}\cdot 7^{4}\cdot 11^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.3187563890625.1 |
x12 - x11 + 2x10 - 7x9 + 2x8 + 2x7 + 17x6 + 13x5 + 8x4 + 8x3 + 3x2 + 1 |
\( 3^{6}\cdot 5^{6}\cdot 23^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.3990277914624.1 |
x12 + 9x10 + 26x8 + 21x6 - 14x4 - 15x2 + 9 |
\( 2^{16}\cdot 3^{6}\cdot 17^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.4694952902656.5 |
x12 - 3x8 + 2x4 + 1 |
\( 2^{24}\cdot 23^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.4818903040000.1 |
x12 + 3x10 - x8 - 7x6 + 4x2 + 4 |
\( 2^{16}\cdot 5^{4}\cdot 7^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.5015306502144.4 |
x12 - 6x11 + 18x10 - 34x9 + 42x8 - 30x7 + 12x6 + 6x5 + 6x4 + 2x3 + 12x2 + 6x + 1 |
\( 2^{20}\cdot 3^{14} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.5061276073984.1 |
x12 - 3x10 + 2x8 + 13x6 + 2x4 - 3x2 + 1 |
\( 2^{20}\cdot 13^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.5458092097536.1 |
x12 - 2x10 - 4x9 + 2x8 + 4x7 + 2x6 + 4x5 + 2x4 - 4x3 - 2x2 + 1 |
\( 2^{18}\cdot 3^{6}\cdot 13^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.6226182733824.1 |
x12 - 2x11 + 2x10 - 4x7 + 8x6 - 4x5 - 4x4 + 8x3 + 4 |
\( 2^{16}\cdot 3^{6}\cdot 19^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.7001316000000.1 |
x12 - x11 + 3x10 - 8x9 + 11x8 - 15x7 + 22x6 - 15x5 + 11x4 - 8x3 + 3x2 - x + 1 |
\( 2^{8}\cdot 3^{6}\cdot 5^{6}\cdot 7^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.8056372640625.1 |
x12 - x11 + 11x10 - 12x9 + 39x8 - 29x7 + 41x6 - 17x5 + 17x4 + x3 + 6x2 + 3x + 1 |
\( 3^{6}\cdot 5^{6}\cdot 29^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.8745694265344.5 |
x12 - x8 - 12x6 + 35x4 + 12x2 + 1 |
\( 2^{26}\cdot 19^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.8916100448256.1 |
x12 - 4x9 + 8x6 - 4x3 + 1 |
\( 2^{24}\cdot 3^{12} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.10240000000000.2 |
x12 + 4x10 + 10x6 + 4x2 + 1 |
\( 2^{20}\cdot 5^{10} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.10519481390625.1 |
x12 - 3x10 - 8x9 + 8x8 + 13x7 + 11x6 - 2x5 + 9x3 + 2x2 - x + 1 |
\( 3^{6}\cdot 5^{6}\cdot 31^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.10997679875625.1 |
x12 - 6x11 + 11x10 - 18x8 + 6x7 + 19x6 - 12x5 + 6x4 - 18x3 + 14x2 - 3x + 1 |
\( 3^{6}\cdot 5^{4}\cdot 17^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.11866206109696.2 |
x12 - 8x10 + 24x8 - 32x6 + 24x4 - 8x2 + 1 |
\( 2^{24}\cdot 29^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.12244400640000.1 |
x12 + 3x10 - 3x8 - 16x6 + 18x4 + 9x2 + 1 |
\( 2^{12}\cdot 3^{14}\cdot 5^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.13722579360000.1 |
x12 - x11 + 2x10 + 3x9 + 3x7 + 7x6 + 2x5 + 4x4 + 4x3 + 4x2 + 4x + 4 |
\( 2^{8}\cdot 3^{6}\cdot 5^{4}\cdot 7^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.14412774445056.1 |
x12 - x11 - x10 - 4x9 + 7x8 - 3x7 + 2x6 + 3x5 + 7x4 + 4x3 - x2 + x + 1 |
\( 2^{12}\cdot 3^{6}\cdot 13^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
$[2]$
|
| 12.0.14992384000000.3 |
x12 - 2x11 + 2x10 - 4x9 + 20x8 - 16x7 + 20x5 + 20x4 + 8x2 + 8x + 4 |
\( 2^{16}\cdot 5^{6}\cdot 11^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.15494111297536.4 |
x12 + 2x8 + 5x4 + 1 |
\( 2^{24}\cdot 31^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.16882212787209.1 |
x12 + 9x6 + 1 |
\( 3^{4}\cdot 7^{6}\cdot 11^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.17093056640625.1 |
x12 - x11 + x10 + 4x7 + 6x6 - x5 + 16x2 + 4x + 1 |
\( 3^{6}\cdot 5^{10}\cdot 7^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.17909824000000.1 |
x12 + 3x10 + 15x8 + 24x6 + 11x4 + 6x2 + 1 |
\( 2^{12}\cdot 5^{6}\cdot 23^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.20061226008576.7 |
x12 - 6x10 + 3x8 + 22x6 + 21x4 + 12x2 + 4 |
\( 2^{22}\cdot 3^{14} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.4.20245104295936.1 |
x12 - 8x10 + 23x8 - 32x6 + 25x4 - 14x2 + 4 |
\( 2^{22}\cdot 13^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.24000877066761.1 |
x12 - x11 - x10 + 8x9 - 7x8 + 2x7 + 29x6 - 38x5 + 20x4 + 80x3 - 48x2 + 64 |
\( 3^{6}\cdot 7^{6}\cdot 23^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.24904730935296.1 |
x12 - 2x10 - 4x9 + 6x8 + 4x7 + 6x6 - 4x5 + 6x4 + 4x3 - 2x2 + 1 |
\( 2^{18}\cdot 3^{6}\cdot 19^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.29160000000000.3 |
x12 - 2x11 + 4x10 - 2x7 - 6x6 + 2x5 + 4x2 + 2x + 1 |
\( 2^{12}\cdot 3^{6}\cdot 5^{10} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.4.30549110765625.1 |
x12 - 3x11 - 2x10 + 10x9 + 8x8 - 25x7 - 11x6 + 35x5 - 3x4 - 25x3 + 3x2 + 4x - 1 |
\( 3^{4}\cdot 5^{6}\cdot 17^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.34012224000000.1 |
x12 + 3x6 + 1 |
\( 2^{12}\cdot 3^{12}\cdot 5^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.35664401793024.4 |
x12 - 4x9 + 22x6 - 12x3 + 2 |
\( 2^{26}\cdot 3^{12} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.4.40960000000000.1 |
x12 + 2x10 + 10x8 + 20x6 - 15x4 - 38x2 + 4 |
\( 2^{22}\cdot 5^{10} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.42693156000000.1 |
x12 - x11 - x10 - 12x9 + 5x8 + 19x7 + 16x6 + 17x5 + 13x4 + 14x3 + 5x2 - x + 1 |
\( 2^{8}\cdot 3^{6}\cdot 5^{6}\cdot 11^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.44767018745856.1 |
x12 - 2x10 + 4x8 - 4x6 + 4x4 + 4 |
\( 2^{22}\cdot 3^{6}\cdot 11^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.44767018745856.2 |
x12 + 2x10 + 4x8 + 4x6 + 4x4 + 4 |
\( 2^{22}\cdot 3^{6}\cdot 11^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.47038089498624.2 |
x12 - 6x10 - 8x9 + 6x8 + 42x7 + 62x6 + 84x5 + 90x4 + 44x3 + 54x2 + 6x + 13 |
\( 2^{12}\cdot 3^{14}\cdot 7^{4} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
| 12.0.49331181715456.10 |
x12 + 3x10 + 7x8 + 10x6 + 15x4 + 19x2 + 25 |
\( 2^{20}\cdot 19^{6} \) |
$S_3 \times C_2^2$ (as 12T10) |
Trivial
|
