| 12.0.433626201009.1 |
x12 - 2x11 + 4x10 - 2x9 + 2x8 - 2x7 - 5x6 + 2x5 + 2x4 + 2x3 + 4x2 + 2x + 1 |
\( 3^{6}\cdot 29^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.464404086784.1 |
x12 - 2x11 + 2x10 - 2x9 + 3x8 - 2x7 + 2x5 + 3x4 - 8x3 + 8x2 - 4x + 1 |
\( 2^{18}\cdot 11^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.2313060765625.1 |
x12 - 5x11 + 15x10 - 26x9 + 31x8 - 17x7 - 3x6 + 22x5 - 15x4 + 5x3 + 5x2 - 3x + 1 |
\( 5^{6}\cdot 23^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.3083198857216.2 |
x12 - 3x10 + 10x8 - 15x6 + 2x4 + 5x2 + 1 |
\( 2^{16}\cdot 19^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.7529536000000.1 |
x12 - 6x11 + 15x10 - 20x9 + 20x8 - 26x7 + 33x6 - 26x5 + 16x4 - 12x3 + 5x2 + 1 |
\( 2^{12}\cdot 5^{6}\cdot 7^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.7529536000000.2 |
x12 - 2x11 + 5x10 - 6x9 + 13x8 - 20x7 + 23x6 - 38x5 + 42x4 - 34x3 + 22x2 - 6x + 2 |
\( 2^{12}\cdot 5^{6}\cdot 7^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.20061226008576.11 |
x12 - 3x10 + 3x8 - 6x6 + 18x4 - 36x2 + 36 |
\( 2^{22}\cdot 3^{14} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.20245104295936.2 |
x12 - 2x11 + 7x10 - 6x9 + 13x8 - 20x7 + 32x6 - 36x5 + 42x4 - 40x3 + 32x2 - 16x + 4 |
\( 2^{22}\cdot 13^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.20245104295936.3 |
x12 + 9x10 + 31x8 + 54x6 + 54x4 + 28x2 + 4 |
\( 2^{22}\cdot 13^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.29160000000000.2 |
x12 - 6x11 + 21x10 - 50x9 + 90x8 - 126x7 + 131x6 - 96x5 + 60x4 - 40x3 + 21x2 - 6x + 1 |
\( 2^{12}\cdot 3^{6}\cdot 5^{10} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.29721861554176.1 |
x12 + 4x10 + 7x8 + 4x6 - x4 - 2x2 + 1 |
\( 2^{24}\cdot 11^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.29721861554176.3 |
x12 - 4x10 + 7x8 - 4x6 - x4 + 2x2 + 1 |
\( 2^{24}\cdot 11^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.29721861554176.5 |
x12 - 4x11 + 12x10 - 32x9 + 49x8 - 52x7 + 38x6 + 8x5 + 15x4 + 12x3 + 26x2 + 8x + 1 |
\( 2^{24}\cdot 11^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.29721861554176.6 |
x12 - 4x11 + 18x10 - 48x9 + 120x8 - 212x7 + 318x6 - 340x5 + 298x4 - 172x3 + 80x2 - 12x + 2 |
\( 2^{24}\cdot 11^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.29721861554176.8 |
x12 - 4x11 + 6x10 - 4x9 + 6x8 - 12x7 + 30x6 - 88x5 + 184x4 - 236x3 + 180x2 - 76x + 14 |
\( 2^{24}\cdot 11^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.33502391015625.2 |
x12 + 2x10 - 10x9 + 6x8 - 10x7 + 23x6 - 10x5 + 6x4 - 10x3 + 2x2 + 1 |
\( 3^{6}\cdot 5^{8}\cdot 7^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.38806720086016.1 |
x12 - 4x11 + 6x10 + 2x9 + 9x8 - 30x7 - 32x5 + 22x4 + 46x3 + 24x2 + 4x + 1 |
\( 2^{18}\cdot 23^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.38806720086016.3 |
x12 - 2x11 + 2x10 + 9x8 - 24x7 + 30x6 - 4x5 + 6x4 - 46x3 + 98x2 - 70x + 25 |
\( 2^{18}\cdot 23^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.38806720086016.4 |
x12 - 6x9 - 14x8 + 4x7 + 18x6 + 38x5 + 61x4 + 42x3 + 32x2 + 40x + 25 |
\( 2^{18}\cdot 23^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.38806720086016.7 |
x12 - 2x11 + 2x10 + 6x9 - 7x8 + 2x7 + 28x6 - 16x5 + 2x4 + 48x3 + 2x2 - 14x + 49 |
\( 2^{18}\cdot 23^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.38982341165056.2 |
x12 - 3x10 - 10x9 + 2x8 + 28x7 + 28x6 - 16x5 - 73x4 - 20x3 + 51x2 + 18x + 2 |
\( 2^{16}\cdot 29^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.40960000000000.1 |
x12 + 2x10 - 5x8 + 30x4 + 32x2 + 4 |
\( 2^{22}\cdot 5^{10} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.56192894500864.2 |
x12 - 2x11 + 8x10 - 4x9 + 5x8 + 10x7 - 14x6 - 10x5 + 5x4 + 4x3 + 8x2 + 2x + 1 |
\( 2^{18}\cdot 11^{8} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.72074394832896.1 |
x12 - 6x11 + 13x10 - 10x9 - 5x8 + 14x7 - 3x6 - 16x5 + 26x4 - 22x3 + 14x2 - 6x + 2 |
\( 2^{12}\cdot 3^{6}\cdot 17^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.74649600000000.1 |
x12 + 2x10 + 11x8 + 8x6 + 11x4 + 2x2 + 1 |
\( 2^{18}\cdot 3^{6}\cdot 5^{8} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.80244904034304.6 |
x12 + 32x6 + 48x4 + 24x2 + 4 |
\( 2^{24}\cdot 3^{14} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.80244904034304.7 |
x12 + 12x8 + 36x4 + 36 |
\( 2^{24}\cdot 3^{14} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.80980417183744.2 |
x12 + 8x10 + 24x8 + 38x6 + 24x4 + 8x2 + 1 |
\( 2^{24}\cdot 13^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.80980417183744.6 |
x12 - 2x10 + 6x8 + 2x6 + x4 + 4x2 + 4 |
\( 2^{24}\cdot 13^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.104857600000000.1 |
x12 - 10x10 + 33x8 - 40x6 + 33x4 - 10x2 + 1 |
\( 2^{28}\cdot 5^{8} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.104857600000000.4 |
x12 + 6x10 + 9x8 - 4x6 - 4x4 + 16x2 + 4 |
\( 2^{28}\cdot 5^{8} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.104857600000000.6 |
x12 + 8x8 - 12x4 + 16 |
\( 2^{28}\cdot 5^{8} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.140478247931904.1 |
x12 - 2x11 + 2x10 - 16x9 + 18x8 - 2x7 + 24x6 + 16x5 + 44x4 + 36x3 + 32x2 + 12x + 4 |
\( 2^{12}\cdot 3^{6}\cdot 19^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.140478247931904.2 |
x12 - 3x10 - x8 + 23x6 + 28x4 + 32x2 + 16 |
\( 2^{12}\cdot 3^{6}\cdot 19^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.144054149089536.1 |
x12 - 3x11 + 9x10 - 2x9 + 3x8 - 3x7 - 6x6 - 3x5 + 3x4 - 2x3 + 9x2 - 3x + 1 |
\( 2^{8}\cdot 3^{14}\cdot 7^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.168147445940224.1 |
x12 - 3x10 - 2x8 + 21x6 + 6x4 + 5x2 + 1 |
\( 2^{16}\cdot 37^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.188238400000000.4 |
x12 - 2x11 + 8x10 - 2x9 + 16x8 - 6x7 + 60x6 - 60x5 + 104x4 - 60x3 + 44x2 - 12x + 4 |
\( 2^{12}\cdot 5^{8}\cdot 7^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.197324726861824.2 |
x12 - 3x11 + 8x10 - 15x9 + 10x8 - 13x7 + 6x6 + 13x5 + 10x4 + 15x3 + 8x2 + 3x + 1 |
\( 2^{22}\cdot 19^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.197324726861824.4 |
x12 + 2x10 + 8x8 + 4x6 + 12x4 - 8x2 + 4 |
\( 2^{22}\cdot 19^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.197324726861824.13 |
x12 - 2x10 + 8x8 - 4x6 + 12x4 + 8x2 + 4 |
\( 2^{22}\cdot 19^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.197324726861824.16 |
x12 - 2x11 + 7x10 - 2x9 + 13x8 - 28x7 + 64x6 - 68x5 + 82x4 - 48x3 + 24x2 + 4 |
\( 2^{22}\cdot 19^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.232653764952064.1 |
x12 - 4x11 + 8x10 - 8x9 + 14x8 - 50x7 + 120x6 - 96x5 + 13x4 + 58x3 + 2x2 + 6x + 9 |
\( 2^{18}\cdot 31^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.232653764952064.7 |
x12 - 2x11 + 2x10 + 2x9 - 21x8 + 48x7 - 52x6 - 8x5 + 139x4 - 286x3 + 338x2 - 234x + 81 |
\( 2^{18}\cdot 31^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.232653764952064.9 |
x12 - 2x11 + 2x10 - 10x9 + 9x8 - 2x7 + 36x6 - 16x5 - 2x4 - 80x3 + 2x2 + 18x + 81 |
\( 2^{18}\cdot 31^{6} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.232653764952064.10 |
x12 - 4x11 + 14x10 - 28x9 + 87x8 - 126x7 + 284x6 - 254x5 + 476x4 - 248x3 + 384x2 - 98x + 129 |
\( 2^{18}\cdot 31^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.262440000000000.1 |
x12 + 2x10 - 5x8 + 75x4 - 18x2 + 9 |
\( 2^{12}\cdot 3^{8}\cdot 5^{10} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.306110016000000.2 |
x12 + 9x10 - 8x9 + 30x8 - 6x7 + 41x6 + 6x5 + 30x4 + 8x3 + 9x2 + 1 |
\( 2^{12}\cdot 3^{14}\cdot 5^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.306110016000000.3 |
x12 + 9x10 + 39x8 + 59x6 + 48x4 + 4 |
\( 2^{12}\cdot 3^{14}\cdot 5^{6} \) |
$C_2 \times S_4$ (as 12T24) |
$[2]$
|
| 12.0.320979616137216.9 |
x12 - 3x8 - 4x6 + 9x4 + 6x2 + 4 |
\( 2^{26}\cdot 3^{14} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
| 12.0.320979616137216.11 |
x12 + 3x10 + 3x8 + 14x6 + 30x4 + 12x2 + 4 |
\( 2^{26}\cdot 3^{14} \) |
$C_2 \times S_4$ (as 12T24) |
Trivial
|
