| 12.0.1479123239373.1 |
x12 - x11 + 3x10 - 8x9 + 12x8 - 14x7 + 29x6 - 32x5 + 28x4 - 31x3 + 31x2 - 10x + 1 |
\( 3^{6}\cdot 13^{3}\cdot 31^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.3833392529408.1 |
x12 - 2x10 + 5x8 + 2x6 + 7x4 + 4x2 + 2 |
\( 2^{27}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.5819818296875.1 |
x12 - 2x11 + 5x10 - 3x9 + 5x8 + 7x7 + 4x6 + 17x5 + 18x4 + 21x3 + 19x2 + 8x + 1 |
\( -\,5^{6}\cdot 11^{3}\cdot 23^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.7860327022592.3 |
x12 - 2x10 + 2x8 - 2x6 + 4x4 - 4x2 + 2 |
\( 2^{29}\cdot 11^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.8745694265344.1 |
x12 + 2x8 - 2x6 - 2x4 - 1 |
\( -\,2^{26}\cdot 19^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.15333570117632.1 |
x12 - 8x8 + 5x4 - 2 |
\( -\,2^{29}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.15333570117632.2 |
x12 - 6x10 + 4x8 + 20x6 + 21x4 + 10x2 + 2 |
\( 2^{29}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.17491388530688.1 |
x12 - 6x10 + 17x8 - 26x6 + 19x4 - 4x2 - 2 |
\( -\,2^{27}\cdot 19^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.17491388530688.1 |
x12 - 4x11 + 6x10 - 15x8 + 20x7 - 8x6 - 4x5 + 17x4 - 16x3 + 10x2 - 4x + 1 |
\( 2^{27}\cdot 19^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.23732412219392.2 |
x12 - 2x6 + x4 + 2x2 + 2 |
\( 2^{25}\cdot 29^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.23732412219392.3 |
x12 - 2x10 - x8 + 4x6 + 7x4 + 6x2 + 2 |
\( 2^{25}\cdot 29^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.30667140235264.2 |
x12 - 2x10 - 4x9 + 9x8 + 16x7 - 28x5 - 44x4 - 24x3 + 4x2 + 8x + 2 |
\( -\,2^{30}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.35664401793024.1 |
x12 - 6x10 + 15x8 - 14x6 - 3x4 + 12x2 - 4 |
\( -\,2^{26}\cdot 3^{12} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.37559623221248.5 |
x12 - 2x10 + 2x8 - 4x6 + 8 |
\( 2^{27}\cdot 23^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.54203275126125.2 |
x12 - x11 + 6x10 + x9 + 8x8 + 5x7 + 5x6 + 5x5 + 8x4 + x3 + 6x2 - x + 1 |
\( 3^{6}\cdot 5^{3}\cdot 29^{6} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.61334280470528.5 |
x12 - 4x8 + 5x4 + 2 |
\( 2^{31}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.62882616180736.5 |
x12 - 2x10 + 5x8 + 16x6 + 7x4 + 2x2 - 1 |
\( -\,2^{32}\cdot 11^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.65796588961792.2 |
x12 - 6x11 + 15x10 - 16x9 - 7x8 + 56x7 - 112x6 + 132x5 - 89x4 + 46x3 - 19x2 + 4x - 1 |
\( -\,2^{20}\cdot 13^{7} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.69965554122752.5 |
x12 - 2x10 + 2x8 - 2x6 + 2 |
\( 2^{29}\cdot 19^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.69965554122752.7 |
x12 + 2x8 - 7x4 + 8 |
\( 2^{29}\cdot 19^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.71328803586048.1 |
x12 - 12x8 - 3x4 - 2 |
\( -\,2^{27}\cdot 3^{12} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.71328803586048.2 |
x12 - 4x9 + 9x8 + 12x7 + 28x6 + 12x5 + 9x4 - 4x3 + 1 |
\( 2^{27}\cdot 3^{12} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.80980417183744.3 |
x12 - x10 + 2x8 + x6 - 2x4 - x2 - 1 |
\( -\,2^{24}\cdot 13^{6} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.94929648877568.4 |
x12 - 4x10 + 12x6 - 16x2 + 8 |
\( 2^{27}\cdot 29^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.99668205764608.1 |
x12 - 2x10 + 3x8 + 4x6 + 31x4 - 18x2 + 13 |
\( 2^{28}\cdot 13^{5} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.123952890380288.6 |
x12 - 4x6 + 4x4 + 8x2 + 8 |
\( 2^{27}\cdot 31^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.163840000000000.1 |
x12 - 2x10 - 2x2 - 1 |
\( -\,2^{24}\cdot 5^{10} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.233634806578125.1 |
x12 - 4x11 + 2x10 + 16x9 - 25x8 - 13x7 + 50x6 - 16x5 - 16x4 - 8x3 + 8x2 + 5x + 1 |
\( 3^{6}\cdot 5^{6}\cdot 29^{5} \) |
$D_4\times S_4$ (as 12T86) |
$[2]$
|
| 12.0.240734712102912.2 |
x12 - 3x10 + 6x8 - 9x6 + 6x4 + 9x2 + 3 |
\( 2^{24}\cdot 3^{15} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.245337121882112.5 |
x12 + 4x8 + 5x4 - 2 |
\( -\,2^{33}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.245337121882112.4 |
x12 - 2x10 + 2x8 - 4x6 + 9x4 - 6x2 + 2 |
\( 2^{33}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.245337121882112.11 |
x12 - 2x10 + 2x8 + 8x6 + 9x4 + 6x2 + 2 |
\( 2^{33}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.245337121882112.15 |
x12 - 4x10 + 4x8 + 8x4 - 16x2 + 8 |
\( 2^{33}\cdot 13^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.245650030592000.1 |
x12 - 4x11 + 2x10 + 10x9 - 22x8 + 20x7 + 8x6 - 40x5 + 112x4 - 124x3 + 68x2 - 16x + 2 |
\( 2^{20}\cdot 5^{3}\cdot 37^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.245650030592000.3 |
x12 - 6x11 + 18x10 - 32x9 + 43x8 - 52x7 + 64x6 - 56x5 + 41x4 - 26x3 + 26x2 + 5 |
\( 2^{20}\cdot 5^{3}\cdot 37^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.263186355847168.1 |
x12 - 14x8 + 49x4 - 52 |
\( -\,2^{22}\cdot 13^{7} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.279862216491008.4 |
x12 + 5x4 - 2 |
\( -\,2^{31}\cdot 19^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.285315214344192.1 |
x12 - 6x10 + 18x8 - 34x6 + 36x4 - 12x2 + 2 |
\( 2^{29}\cdot 3^{12} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.285315214344192.2 |
x12 + 12x8 - 3x4 + 2 |
\( 2^{29}\cdot 3^{12} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.300476985769984.6 |
x12 - 2x10 - x8 + 14x6 + 6x4 - 1 |
\( -\,2^{30}\cdot 23^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.6.312299584000000.1 |
x12 - 6x11 + 11x10 - 6x9 - 12x8 + 38x7 - 48x6 + 38x5 - 12x4 - 6x3 + 11x2 - 6x + 1 |
\( -\,2^{12}\cdot 5^{6}\cdot 47^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.320979616137216.1 |
x12 - 18x8 - 42x6 - 54x4 - 36x2 - 9 |
\( -\,2^{26}\cdot 3^{14} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.323921668734976.3 |
x12 - 6x10 + 9x8 - 6x6 + 5x4 - 4 |
\( -\,2^{26}\cdot 13^{6} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.323921668734976.5 |
x12 - 5x10 + 13x8 - 6x6 + 10x4 + 4x2 - 4 |
\( -\,2^{26}\cdot 13^{6} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.2.323921668734976.8 |
x12 - 3x10 - 3x8 + 22x6 - 34x4 + 20x2 - 4 |
\( -\,2^{26}\cdot 13^{6} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.326736961077248.1 |
x12 - 2x10 + 3x8 - 6x6 + 6x4 - 8x2 + 8 |
\( 2^{23}\cdot 79^{4} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.398672823058432.2 |
x12 - x8 - 8x6 + 43x4 - 40x2 + 13 |
\( 2^{30}\cdot 13^{5} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.398672823058432.5 |
x12 - 2x10 - 3x8 + 8x6 + x4 - 10x2 + 13 |
\( 2^{30}\cdot 13^{5} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.0.398672823058432.10 |
x12 - 4x10 + 12x8 - 44x6 + 105x4 - 120x2 + 52 |
\( 2^{30}\cdot 13^{5} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
| 12.4.487829476135125.1 |
x12 - 6x11 + 21x10 - 49x9 + 81x8 - 96x7 + 68x6 - 30x5 - 9x4 + 34x3 - 9x2 - 5 |
\( 3^{8}\cdot 5^{3}\cdot 29^{6} \) |
$D_4\times S_4$ (as 12T86) |
Trivial
|
