| 12.0.355559378944.1 |
x12 - 2x11 + 2x10 - 4x9 + 5x8 - 2x7 + 2x6 - 6x5 + x4 + 4x2 + 2x + 1 |
\( 2^{12}\cdot 7^{2}\cdot 11^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.1226317041664.1 |
x12 - 3x10 + 7x8 - 9x6 + 12x4 - 8x2 + 4 |
\( 2^{12}\cdot 11^{6}\cdot 13^{2} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.7430465388544.2 |
x12 + 4x10 + 11x8 + 16x6 + 19x4 + 4x2 + 1 |
\( 2^{22}\cdot 11^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.16420649017600.1 |
x12 + x10 - x8 + 11x6 + 24x4 + 24x2 + 4 |
\( 2^{8}\cdot 5^{2}\cdot 37^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.26214400000000.1 |
x12 + 5x10 + 3x8 - 10x6 + 3x4 + 5x2 + 1 |
\( 2^{26}\cdot 5^{8} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.29721861554176.2 |
x12 - 2x10 + 5x8 - 6x6 + 5x4 - 2x2 + 1 |
\( 2^{24}\cdot 11^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.29721861554176.4 |
x12 + 2x10 + 5x8 + 6x6 + 5x4 + 2x2 + 1 |
\( 2^{24}\cdot 11^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.29721861554176.7 |
x12 - 4x11 + 10x10 - 24x9 + 55x8 - 112x7 + 174x6 - 200x5 + 179x4 - 132x3 + 88x2 - 44x + 11 |
\( 2^{24}\cdot 11^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.38806720086016.2 |
x12 - 4x11 + 10x10 - 10x9 + 14x8 + 20x7 + 40x6 + 70x5 + 73x4 + 62x3 + 32x2 + 8x + 1 |
\( 2^{18}\cdot 23^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.38806720086016.6 |
x12 - 4x11 + 8x10 - 16x9 + 19x8 - 8x7 + 56x6 - 144x5 + 67x4 + 44x3 + 48x2 - 112x + 49 |
\( 2^{18}\cdot 23^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.49331181715456.4 |
x12 - x10 + 6x8 - 3x6 + 6x4 - x2 + 1 |
\( 2^{20}\cdot 19^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.80980417183744.3 |
x12 - 3x10 - 7x8 + 16x6 + 33x4 + 13x2 + 1 |
\( 2^{24}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.4.111003587358976.1 |
x12 - 3x11 + x10 - x8 + 3x7 - 6x6 + 3x5 - x4 + x2 - 3x + 1 |
\( 2^{8}\cdot 13^{2}\cdot 37^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.4.168147445940224.1 |
x12 + 5x10 + 6x8 - 7x6 - 34x4 - 51x2 + 1 |
\( 2^{16}\cdot 37^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.4.189822702643456.1 |
x12 - 5x11 + 7x10 + 2x9 - 19x8 + 37x7 - 18x6 - 33x5 + 3x4 + 36x3 - 5x2 - x - 1 |
\( 2^{8}\cdot 17^{2}\cdot 37^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.197324726861824.7 |
x12 + 6x10 + 6x8 - 12x6 + 8x4 - 4x2 + 4 |
\( 2^{22}\cdot 19^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.197324726861824.11 |
x12 - 6x10 + 6x8 + 12x6 + 8x4 + 4x2 + 4 |
\( 2^{22}\cdot 19^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.232653764952064.2 |
x12 - 2x11 - 2x9 - 15x8 - 2x7 + 174x6 - 8x5 - 18x4 - 140x3 + 8x2 + 42x + 9 |
\( 2^{18}\cdot 31^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.232653764952064.11 |
x12 - 2x11 + 2x10 + 8x9 - 20x8 + 72x7 - 128x6 + 48x5 + 404x4 - 944x3 + 1096x2 - 640x + 184 |
\( 2^{18}\cdot 31^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.4.237114171814144.1 |
x12 - 5x11 + 3x10 + 24x9 - 39x8 - 37x7 + 104x6 + 5x5 - 99x4 - 6x3 + 61x2 - 17x + 1 |
\( 2^{8}\cdot 19^{2}\cdot 37^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.262730384281600.1 |
x12 + 9x10 + 35x8 + 75x6 + 88x4 + 48x2 + 4 |
\( 2^{12}\cdot 5^{2}\cdot 37^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.320979616137216.12 |
x12 - 3x11 - x9 + 15x8 - 12x7 + 4x6 + 24x5 - 30x4 - 6x3 + 24x2 - 18x + 6 |
\( 2^{26}\cdot 3^{14} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.320979616137216.17 |
x12 - 6x11 + 15x10 - 10x9 - 18x8 + 36x7 + 2x6 - 60x5 + 39x4 + 46x3 - 39x2 - 6x + 16 |
\( 2^{26}\cdot 3^{14} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.323921668734976.1 |
x12 + 8x10 + 22x8 - 6x6 + 6x4 + 20x2 + 1 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.323921668734976.6 |
x12 - 4x11 + 9x10 - 6x9 - 2x8 + 16x7 + 50x6 - 76x5 + 163x4 - 52x3 + 3x2 - 2x + 4 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.323921668734976.7 |
x12 - 5x10 + 18x8 - 22x6 + 37x4 - 17x2 + 4 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.323921668734976.20 |
x12 - x10 + 2x8 - 10x6 + 5x4 + 19x2 + 16 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.323921668734976.23 |
x12 - 4x11 + 13x10 - 38x9 + 90x8 - 200x7 + 366x6 - 540x5 + 659x4 - 604x3 + 423x2 - 186x + 52 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.323921668734976.26 |
x12 + 2x10 + 3x8 - 20x6 + 10x4 + 64x2 + 64 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.323921668734976.27 |
x12 + 4x10 + 10x8 + 16x6 + 40x4 + 64x2 + 64 |
\( 2^{26}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.347460933212416.1 |
x12 - x11 - 2x10 - 3x9 + 6x8 + 17x7 + x6 - 40x5 - 10x4 + 32x3 + 12x2 - 16x + 4 |
\( 2^{8}\cdot 23^{2}\cdot 37^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.419430400000000.1 |
x12 - 5x10 + 3x8 + 10x6 + 3x4 - 5x2 + 1 |
\( 2^{30}\cdot 5^{8} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.475549784866816.12 |
x12 - 4x11 + 4x10 + 12x9 - 25x8 + 4x7 + 12x6 - 16x5 + 33x4 + 8x3 + 32x2 + 12x + 13 |
\( 2^{28}\cdot 11^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.475549784866816.16 |
x12 - 4x11 + 16x10 - 48x9 + 119x8 - 220x7 + 332x6 - 392x5 + 379x4 - 280x3 + 168x2 - 64x + 19 |
\( 2^{28}\cdot 11^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.623717458640896.3 |
x12 + 20x8 + 74x6 + 20x4 + 1 |
\( 2^{20}\cdot 29^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.623717458640896.5 |
x12 + 4x10 + 14x8 + 12x6 + 13x4 - 16x2 + 4 |
\( 2^{20}\cdot 29^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.655360000000000.7 |
x12 + 3x10 + 10x8 - 30x6 + 45x4 - 17x2 + 4 |
\( 2^{26}\cdot 5^{10} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
(GRH)
|
| 12.0.789298907447296.4 |
x12 + 5x10 + 9x8 + 8x6 + 9x4 + 5x2 + 1 |
\( 2^{24}\cdot 19^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.789298907447296.18 |
x12 + 2x10 - 4x9 + 10x8 + 26x6 + 36x5 + 64x4 + 36x3 + 96x2 + 4x + 46 |
\( 2^{24}\cdot 19^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.899086312013824.3 |
x12 - 2x11 + 12x10 - 34x9 + 59x8 - 148x7 + 212x6 - 148x5 + 83x4 - 2x3 - 2x2 + 2x + 1 |
\( 2^{22}\cdot 11^{8} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.8.1094032426497921.1 |
x12 - 3x11 - 3x10 + 7x9 + 19x8 - 12x7 - 85x6 + 37x5 + 159x4 - 12x3 - 79x2 + 3x + 9 |
\( 3^{6}\cdot 107^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.1295686674939904.3 |
x12 + 3x10 + 5x8 + 8x6 + 5x4 + 3x2 + 1 |
\( 2^{28}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.1295686674939904.12 |
x12 - 6x10 + 16x8 - 26x6 + 27x4 - 12x2 + 4 |
\( 2^{28}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.1295686674939904.20 |
x12 - 2x11 - x10 - 6x9 + 11x8 - 8x7 + 24x6 + 24x5 + 51x4 - 6x3 - 47x2 - 2x + 13 |
\( 2^{28}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.1295686674939904.24 |
x12 + 6x10 + 4x8 - 24x6 - 12x4 + 40x2 + 16 |
\( 2^{28}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.1295686674939904.31 |
x12 - 2x11 + 11x10 - 20x9 + 60x8 - 80x7 + 176x6 - 200x5 + 253x4 - 274x3 + 199x2 - 124x + 44 |
\( 2^{28}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.1295686674939904.37 |
x12 + 2x10 + 15x8 + 12x6 + 103x4 + 162x2 + 121 |
\( 2^{28}\cdot 13^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.1677721600000000.2 |
x12 - 2x10 - 9x8 + 52x6 - 9x4 - 2x2 + 1 |
\( 2^{32}\cdot 5^{8} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[2]$
|
| 12.0.1677721600000000.10 |
x12 - 2x11 + 5x10 + 2x8 - 8x7 + 32x6 - 24x5 + 30x4 - 12x3 + 22x2 + 4 |
\( 2^{32}\cdot 5^{8} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
Trivial
|
| 12.0.2011660281559296.1 |
x12 + 7x10 + 10x8 + 11x6 + 10x4 + 7x2 + 1 |
\( 2^{8}\cdot 3^{6}\cdot 47^{6} \) |
$C_2\times C_2^2:S_4$ (as 12T103) |
$[3]$
|
