| 12.0.53440955929.1 |
x12 - x11 + x10 - 3x9 + 4x8 - 2x7 + x6 - 2x5 + 4x4 - 3x3 + x2 - x + 1 |
\( 19^{2}\cdot 23^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.107387945401.1 |
x12 - 3x11 + 4x10 - 6x9 + 10x8 - 11x7 + 11x6 - 11x5 + 10x4 - 6x3 + 4x2 - 3x + 1 |
\( 11^{2}\cdot 31^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.355559378944.2 |
x12 - 4x11 + 5x10 - 2x8 - 8x7 + 19x6 - 16x5 + 4x4 + 2x3 - x2 + 1 |
\( 2^{12}\cdot 7^{2}\cdot 11^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.489776025600.1 |
x12 - 6x11 + 15x10 - 20x9 + 18x8 - 18x7 + 17x6 - 6x5 - 4x3 + 3x2 + 1 |
\( 2^{12}\cdot 3^{14}\cdot 5^{2} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.606355001344.2 |
x12 - 3x10 + 5x8 - 5x6 + 5x4 - 3x2 + 1 |
\( 2^{12}\cdot 23^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.1734299357184.1 |
x12 - 4x11 + 7x10 - 8x9 + 8x8 - 16x7 + 27x6 - 20x5 + 10x4 - 2x3 - 3x2 + 1 |
\( 2^{12}\cdot 3^{2}\cdot 19^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.1857616347136.1 |
x12 - x10 + 2x8 - 3x6 + 2x4 - x2 + 1 |
\( 2^{20}\cdot 11^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.2008387814976.1 |
x12 - 3x10 + 6x8 - 13x6 + 15x4 + 6x2 + 4 |
\( 2^{6}\cdot 3^{22} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
(GRH)
|
| 12.0.2699554153024.1 |
x12 - 3x11 + 7x10 - 20x9 + 38x8 - 49x7 + 53x6 - 49x5 + 38x4 - 20x3 + 7x2 - 3x + 1 |
\( 2^{6}\cdot 59^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.3635215077376.2 |
x12 - 3x10 + 7x8 - 9x6 + 7x4 - 3x2 + 1 |
\( 2^{12}\cdot 31^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.5015306502144.1 |
x12 - 3x10 + 5x6 - 3x2 + 1 |
\( 2^{20}\cdot 3^{14} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.5231045973904.1 |
x12 - 5x11 + 15x10 - 27x9 + 38x8 - 39x7 + 39x6 - 26x5 + 21x4 - 14x3 + 28x2 - 24x + 16 |
\( 2^{4}\cdot 83^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.7430465388544.4 |
x12 - 2x10 + 6x8 - 12x6 + 16x4 - 12x2 + 4 |
\( 2^{22}\cdot 11^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.7430465388544.5 |
x12 + 2x10 + 6x8 + 12x6 + 16x4 + 12x2 + 4 |
\( 2^{22}\cdot 11^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.8033551259904.1 |
x12 + 6x10 + 6x8 - 10x6 + 6x4 + 6x2 + 1 |
\( 2^{8}\cdot 3^{22} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.10798216612096.1 |
x12 - 3x10 + 14x8 - 23x6 + 14x4 - 3x2 + 1 |
\( 2^{8}\cdot 59^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.14048223625216.1 |
x12 - 2x11 + 2x10 - 4x9 + 2x7 + 4x6 + 2x5 - 4x3 + 2x2 - 2x + 1 |
\( 2^{16}\cdot 11^{8} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.14048223625216.2 |
x12 - 4x11 + 13x10 - 22x9 + 22x8 - 4x7 - 25x6 + 4x5 + 22x4 + 22x3 + 13x2 + 4x + 1 |
\( 2^{16}\cdot 11^{8} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.4.16420649017600.1 |
x12 - 3x11 - x10 + 10x9 - 7x8 - 11x7 + 10x6 + 11x5 - 7x4 - 10x3 - x2 + 3x + 1 |
\( 2^{8}\cdot 5^{2}\cdot 37^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.20061226008576.5 |
x12 - 6x10 + 18x8 - 28x6 + 24x4 - 12x2 + 4 |
\( 2^{22}\cdot 3^{14} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.20061226008576.8 |
x12 + 6x10 + 18x8 + 28x6 + 24x4 + 12x2 + 4 |
\( 2^{22}\cdot 3^{14} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.20266878515625.1 |
x12 - 6x11 + 17x10 - 30x9 + 41x8 - 50x7 + 50x6 - 35x5 + 21x4 - 15x3 + 8x2 - 2x + 1 |
\( 3^{2}\cdot 5^{8}\cdot 7^{8} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.26214400000000.3 |
x12 + 4x10 + 4x8 + 4x6 + 11x4 + 4x2 + 4 |
\( 2^{26}\cdot 5^{8} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.38806720086016.8 |
x12 - 6x10 + 20x8 - 40x6 + 80x4 - 96x2 + 64 |
\( 2^{18}\cdot 23^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.38806720086016.11 |
x12 + 6x10 + 20x8 + 40x6 + 80x4 + 96x2 + 64 |
\( 2^{18}\cdot 23^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.45137758519296.2 |
x12 + 6x8 + 9x4 + 16 |
\( 2^{20}\cdot 3^{16} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.49331181715456.2 |
x12 - 3x10 + 4x8 - 3x6 + 4x4 - 3x2 + 1 |
\( 2^{20}\cdot 19^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.104857600000000.5 |
x12 - 6x11 + 15x10 - 20x9 + 17x8 - 14x7 + 13x6 - 8x5 + 20x4 - 36x3 + 18x2 + 4 |
\( 2^{28}\cdot 5^{8} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.4.111003587358976.2 |
x12 - 7x10 + 23x8 - 37x6 + 40x4 - 40x2 + 4 |
\( 2^{8}\cdot 13^{2}\cdot 37^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.128536820158464.7 |
x12 - 6x11 + 18x10 - 32x9 + 42x8 - 78x7 + 173x6 - 264x5 + 258x4 - 184x3 + 108x2 - 48x + 16 |
\( 2^{12}\cdot 3^{22} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.167961600000000.1 |
x12 + 4x10 + 4x8 + 24x6 + 96x4 + 144x2 + 144 |
\( 2^{16}\cdot 3^{8}\cdot 5^{8} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.8.168147445940224.1 |
x12 - 3x10 - 10x8 + 25x6 - 10x4 - 3x2 + 1 |
\( 2^{16}\cdot 37^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.180551034077184.2 |
x12 - 6x11 + 15x10 - 20x9 + 21x8 - 30x7 + 37x6 - 24x5 + 12x3 - 6x2 + 8 |
\( 2^{22}\cdot 3^{16} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.180551034077184.4 |
x12 - 12x8 + 36x4 + 16 |
\( 2^{22}\cdot 3^{16} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.188238400000000.6 |
x12 - x10 - 6x8 + 15x6 + 70x4 + 75x2 + 25 |
\( 2^{12}\cdot 5^{8}\cdot 7^{6} \) |
$C_2\times S_4$ (as 12T21) |
$[2]$
|
| 12.0.197324726861824.8 |
x12 + 4x10 + 6x8 + 12x4 - 4x2 + 4 |
\( 2^{22}\cdot 19^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.197324726861824.12 |
x12 - 4x10 + 6x8 + 12x4 + 4x2 + 4 |
\( 2^{22}\cdot 19^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.224771578003456.4 |
x12 + x10 - 8x8 - 11x6 + 44x4 + 121x2 + 121 |
\( 2^{20}\cdot 11^{8} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.232653764952064.4 |
x12 - 6x10 + 28x8 - 72x6 + 112x4 - 96x2 + 64 |
\( 2^{18}\cdot 31^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.232653764952064.5 |
x12 + 6x10 + 28x8 + 72x6 + 112x4 + 96x2 + 64 |
\( 2^{18}\cdot 31^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.8.237114171814144.1 |
x12 - 5x11 + 3x10 + 8x9 + x8 + 5x7 - 14x6 - 5x5 + x4 - 8x3 + 3x2 + 5x + 1 |
\( 2^{8}\cdot 19^{2}\cdot 37^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.262440000000000.2 |
x12 - 2x11 + 4x10 - 20x9 + 40x8 - 62x7 + 124x6 - 188x5 + 220x4 - 240x3 + 204x2 - 108x + 36 |
\( 2^{12}\cdot 3^{8}\cdot 5^{10} \) |
$C_2\times S_4$ (as 12T21) |
$[2]$
|
| 12.0.320761795710976.2 |
x12 - 2x10 + 24x8 - 69x6 + 230x4 - 529x2 + 529 |
\( 2^{12}\cdot 23^{8} \) |
$C_2\times S_4$ (as 12T21) |
$[2]$
|
| 12.0.320761795710976.6 |
x12 + 7x10 + 41x8 + 115x6 + 253x4 + 529x2 + 529 |
\( 2^{12}\cdot 23^{8} \) |
$C_2\times S_4$ (as 12T21) |
$[2]$
|
| 12.0.320979616137216.4 |
x12 + 16x6 + 15x4 - 12x2 + 4 |
\( 2^{26}\cdot 3^{14} \) |
$C_2\times S_4$ (as 12T21) |
$[2]$
|
| 12.0.320979616137216.18 |
x12 + 12x8 - 4x6 + 15x4 + 24x2 + 16 |
\( 2^{26}\cdot 3^{14} \) |
$C_2\times S_4$ (as 12T21) |
$[2]$
|
| 12.0.323921668734976.5 |
x12 - 2x11 - 5x10 + 12x9 + 11x8 - 22x7 + 3x6 + 16x5 - 12x4 + 4x3 + 14x2 - 8x + 4 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times S_4$ (as 12T21) |
$[2]$
|
| 12.0.323921668734976.17 |
x12 - 6x10 + 19x8 - 48x6 + 144x4 - 64x2 + 16 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times S_4$ (as 12T21) |
$[2]$
|
| 12.0.347460933212416.2 |
x12 - x11 + 2x10 + 5x9 - 17x7 + 51x6 - 72x5 + 74x4 - 40x3 + 28x2 - 8x + 4 |
\( 2^{8}\cdot 23^{2}\cdot 37^{6} \) |
$C_2\times S_4$ (as 12T21) |
Trivial
|
| 12.0.364679635048569.2 |
x12 + 16x8 - 6x6 + 64x4 + 39x2 + 9 |
\( 3^{6}\cdot 29^{8} \) |
$C_2\times S_4$ (as 12T21) |
$[4]$
|
