| 12.0.629763392149.1 |
x12 - 4x11 + 10x10 - 19x9 + 28x8 - 34x7 + 37x6 - 34x5 + 28x4 - 19x3 + 10x2 - 4x + 1 |
\( 229^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.0.1121154893057.1 |
x12 - 4x11 + 9x10 - 18x9 + 31x8 - 42x7 + 47x6 - 42x5 + 31x4 - 18x3 + 9x2 - 4x + 1 |
\( 257^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.0.1136131391488.1 |
x12 - 2x11 + 4x10 - 6x9 + 9x8 - 10x7 + 10x6 - 10x5 + 9x4 - 6x3 + 4x2 - 2x + 1 |
\( 2^{14}\cdot 37^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.1687248699392.1 |
x12 - 4x11 + 10x10 - 16x9 + 19x8 - 28x7 + 28x6 - 28x5 + 19x4 - 16x3 + 10x2 - 4x + 1 |
\( -\,2^{18}\cdot 23^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.1815232161643.1 |
x12 - 4x11 + 10x10 - 21x9 + 34x8 - 46x7 + 51x6 - 46x5 + 34x4 - 21x3 + 10x2 - 4x + 1 |
\( -\,283^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.2408586330112.1 |
x12 - 2x11 + 2x10 - 4x9 + 9x8 - 16x7 + 18x6 - 16x5 + 9x4 - 4x3 + 2x2 - 2x + 1 |
\( -\,2^{14}\cdot 43^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.3973195810651.1 |
x12 - 3x11 + 8x10 - 18x9 + 37x8 - 62x7 + 73x6 - 62x5 + 37x4 - 18x3 + 8x2 - 3x + 1 |
\( -\,331^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.7504960159744.2 |
x12 - 4x11 + 8x10 - 14x9 + 14x8 - 18x7 + 46x6 - 46x5 + 21x4 + 12x3 - 14x2 + 6x - 1 |
\( -\,2^{18}\cdot 31^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.10807949656064.2 |
x12 - 4x11 + 8x10 - 4x9 - 10x8 + 32x7 - 36x6 + 28x5 - 4x3 + 8x2 + 8x + 2 |
\( -\,2^{26}\cdot 11^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.16134310473728.1 |
x12 - 2x11 + 8x9 - 17x8 + 18x7 - 12x6 + 16x5 - 39x4 + 54x3 - 42x2 + 20x - 4 |
\( -\,2^{12}\cdot 83^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.27406859829248.2 |
x12 - 4x11 + 10x10 - 18x9 + 24x8 - 32x7 + 34x6 - 32x5 + 24x4 - 18x3 + 10x2 - 4x + 1 |
\( -\,2^{16}\cdot 53^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.28536943843451.1 |
x12 - x11 + 5x10 + 2x9 + 10x8 + 31x7 + 25x6 + 3x5 + 14x3 + 15x2 + 7x + 1 |
\( -\,491^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.29574367985664.1 |
x12 - 4x11 + 4x10 + 4x9 - 14x8 + 20x7 - 22x6 + 26x5 - 20x4 + 10x3 - 8x2 - 4x - 2 |
\( -\,2^{14}\cdot 3^{6}\cdot 19^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.38632614969344.1 |
x12 - 2x11 + 6x9 - 9x8 + 6x7 + 2x6 - 12x5 + 15x4 - 14x3 + 8x2 - 4x + 1 |
\( -\,2^{14}\cdot 11^{9} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.50718287374711.1 |
x12 - 2x11 + x10 + 6x9 - 18x8 + 18x7 - 20x6 + 31x5 - 34x4 + 27x3 - 18x2 + 8x - 8 |
\( -\,11^{6}\cdot 31^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.55351463182336.2 |
x12 - 2x11 + 3x10 - 2x9 + 2x8 + 14x7 - 19x6 + 18x5 + 2x4 + 18x3 + 7x2 + 2x - 1 |
\( -\,2^{16}\cdot 61^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.0.75957575873792.1 |
x12 - x11 - 2x10 + x9 + 4x8 - 5x7 - x6 + 12x5 - 10x4 - 6x3 + 16x2 - 16x + 8 |
\( 2^{8}\cdot 197^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.80190448927744.1 |
x12 - 5x11 + 12x10 - 7x9 - 32x8 + 109x7 - 180x6 + 199x5 - 165x4 + 100x3 - 48x2 + 12x - 4 |
\( -\,2^{10}\cdot 23^{8} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.82608050631424.1 |
x12 - x11 - x10 + 2x9 + 11x8 - 11x7 + 2x6 + 19x5 - 19x4 + 14x3 - 3x2 + x + 1 |
\( -\,2^{8}\cdot 19^{9} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.86029994295296.4 |
x12 - 2x10 - 12x9 + 3x8 + 4x7 + 50x6 + 4x5 + 21x4 - 40x3 + 2x2 - 8x + 4 |
\( -\,2^{22}\cdot 29^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.102241426653184.1 |
x12 - 4x11 + 10x10 - 24x9 + 43x8 - 64x7 + 72x6 - 64x5 + 43x4 - 24x3 + 10x2 - 4x + 1 |
\( -\,2^{14}\cdot 7^{5}\cdot 13^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.106993205379072.2 |
x12 - 6x10 - 8x9 + 9x8 + 36x7 + 24x6 - 12x5 - 39x4 - 16x3 - 6x2 - 1 |
\( -\,2^{26}\cdot 3^{13} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.125971200000000.1 |
x12 - 4x11 + 8x10 - 12x9 + 13x8 - 26x7 + 22x6 - 26x5 + 13x4 - 12x3 + 8x2 - 4x + 1 |
\( -\,2^{14}\cdot 3^{9}\cdot 5^{8} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.137303833711203.1 |
x12 - 2x10 + 3x8 - 17x6 + 13x4 + 21x2 - 3 |
\( -\,3^{9}\cdot 17^{8} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.166168191041536.4 |
x12 + 4x10 - 12x9 - 6x8 - 4x7 - 8x6 - 4x5 + 4x4 + 4x3 + 2 |
\( -\,2^{26}\cdot 19^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.171382426877952.3 |
x12 - 9x8 - 30x6 - 18x5 - 45x4 - 22x3 - 36x2 - 3 |
\( -\,2^{14}\cdot 3^{21} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.180551034077184.6 |
x12 - 6x11 + 15x10 - 14x9 - 9x8 + 36x7 - 24x6 - 12x5 + 18x4 + 16x3 - 24x2 + 12 |
\( -\,2^{22}\cdot 3^{16} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.187413115437056.1 |
x12 - 6x11 + 19x10 - 34x9 + 38x8 - 26x7 - x6 + 22x5 - 23x4 + 16x3 - 6x2 - 4 |
\( -\,2^{18}\cdot 59^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.187413115437056.2 |
x12 - 4x11 + 10x10 - 28x9 + 55x8 - 88x7 + 100x6 - 88x5 + 55x4 - 28x3 + 10x2 - 4x + 1 |
\( -\,2^{18}\cdot 59^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.0.277375828000000.1 |
x12 - 3x11 + 3x10 - 4x9 + 7x8 + x7 - 2x6 + x5 + 13x4 + 24x3 + 17x2 + 5x + 1 |
\( 2^{8}\cdot 5^{6}\cdot 37^{5} \) |
$S_4$ (as 12T8) |
$[2]$
|
| 12.2.302803426853183.1 |
x12 - 3x11 + 11x10 - 27x9 + 64x8 - 122x7 + 183x6 - 272x5 + 318x4 - 252x3 + 156x2 - 67x + 11 |
\( -\,19^{6}\cdot 23^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.0.304358957700017.1 |
x12 + 2x8 + 22x6 + 5x4 - 22x2 + 17 |
\( 11^{8}\cdot 17^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.310435661398016.1 |
x12 + 2x10 - 4x9 - 10x8 - 8x7 + 6x6 + 32x5 + 4x4 - 18x3 - 64x2 - 40x - 26 |
\( -\,2^{14}\cdot 7^{6}\cdot 11^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.341757294232563.1 |
x12 - 6x11 + 18x10 - 35x9 + 54x8 - 72x7 + 83x6 - 78x5 + 66x4 - 49x3 + 30x2 - 12x - 3 |
\( -\,3^{13}\cdot 11^{8} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.408146688000000.1 |
x12 - 6x10 + 12x8 - 6x7 - 30x6 - 12x5 + 24x4 + 26x3 - 12x - 6 |
\( -\,2^{14}\cdot 3^{13}\cdot 5^{6} \) |
$S_4$ (as 12T8) |
$[2]$
|
| 12.0.439022168653824.1 |
x12 - 6x11 + 18x10 - 34x9 + 48x8 - 54x7 + 38x6 + 12x5 - 60x4 + 46x3 + 12x2 - 36x + 18 |
\( 2^{14}\cdot 3^{13}\cdot 7^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.457884390703104.1 |
x12 - 4x11 + 10x10 - 8x9 - 5x8 + 32x7 - 40x6 + 32x5 - 5x4 - 8x3 + 10x2 - 4x + 1 |
\( -\,2^{14}\cdot 3^{9}\cdot 17^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.537824000000000.1 |
x12 - 4x11 + 10x10 - 10x9 + x8 + 20x7 - 26x6 + 20x5 + x4 - 10x3 + 10x2 - 4x + 1 |
\( -\,2^{14}\cdot 5^{9}\cdot 7^{5} \) |
$S_4$ (as 12T8) |
$[2]$
|
| 12.2.797345646116864.2 |
x12 + 6x10 + 4x8 - 24x6 - 3x4 + 58x2 - 26 |
\( -\,2^{31}\cdot 13^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.838860800000000.2 |
x12 - 2x10 + 2x8 + 24x6 - 4x4 - 8x2 - 8 |
\( -\,2^{31}\cdot 5^{8} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.899086312013824.1 |
x12 - 6x11 + 13x10 - 8x9 - 12x8 + 12x7 + 16x6 + 4x5 - 49x4 + 2x3 + 35x2 + 12x - 4 |
\( -\,2^{22}\cdot 11^{8} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.1721036800000000.2 |
x12 + 6x10 - 7x8 + 22x6 - 34x4 + 44x2 - 7 |
\( -\,2^{18}\cdot 5^{8}\cdot 7^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.1859069183311872.1 |
x12 - 2x11 + 4x10 - 10x9 - 11x8 - 14x7 - 34x6 - 14x5 - 11x4 - 10x3 + 4x2 - 2x + 1 |
\( -\,2^{14}\cdot 3^{9}\cdot 7^{8} \) |
$S_4$ (as 12T8) |
$[3]$
|
| 12.2.2066104678400000.2 |
x12 - 4x11 + 10x10 - 12x9 + 7x8 + 8x7 + 2x6 - 6x5 - 21x4 + 10x3 + 2x2 + 4x + 1 |
\( -\,2^{14}\cdot 5^{5}\cdot 7^{9} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.0.2203992115200000.1 |
x12 - 2x9 + 15x8 + 16x6 - 42x5 + 45x4 - 42x3 + 54x2 - 54x + 27 |
\( 2^{14}\cdot 3^{16}\cdot 5^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.2742118830047232.1 |
x12 - 12x9 + 48x6 - 64x3 - 81 |
\( -\,2^{18}\cdot 3^{21} \) |
$S_4$ (as 12T8) |
$[2]$
|
| 12.2.2742118830047232.3 |
x12 - 18x9 - 24x6 - 10x3 - 3 |
\( -\,2^{18}\cdot 3^{21} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.3189382584467456.3 |
x12 + 8x10 - 12x9 + 10x8 - 10x6 - 16x4 + 12x3 + 8x2 + 1 |
\( -\,2^{33}\cdot 13^{5} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.3355443200000000.4 |
x12 + 4x10 - 20x9 - 2x8 - 40x7 + 18x6 - 4x4 + 20x3 - 64x2 + 40x - 7 |
\( -\,2^{33}\cdot 5^{8} \) |
$S_4$ (as 12T8) |
Trivial
|
| 12.2.3421422626013184.2 |
x12 - 6x11 + 19x10 - 38x9 + 37x8 + 20x7 - 92x6 + 20x5 + 194x4 - 248x3 + 56x2 + 80x - 44 |
\( -\,2^{22}\cdot 13^{8} \) |
$S_4$ (as 12T8) |
$[3]$
|
