| 12.4.8067775586689.1 |
x12 - 2x11 + x10 - 3x9 + 3x8 + 3x7 - x6 - 5x5 - 15x4 + 10x3 - 3x2 - 3x + 1 |
\( 7^{10}\cdot 13^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.8067775586689.2 |
x12 - 4x11 + 4x10 + 4x9 - x8 - 9x7 - 15x6 + 25x5 + 10x4 - 11x3 - 6x2 + 2x + 1 |
\( 7^{10}\cdot 13^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.32357746661769.1 |
x12 - 3x10 - 4x9 + 3x8 + 18x7 + 5x6 - 24x5 - 12x4 + 22x3 - 3x2 - 3x + 1 |
\( 3^{18}\cdot 17^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.32357746661769.2 |
x12 - 3x11 + 6x10 - 5x9 - 3x8 + 12x7 - 22x6 + 27x5 - 24x4 + 23x3 - 12x2 + 1 |
\( 3^{18}\cdot 17^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.74049191673856.1 |
x12 - 4x11 + 4x10 - 10x9 + 41x8 - 58x7 + 48x6 - 80x5 + 122x4 - 102x3 + 50x2 - 12x + 1 |
\( 2^{18}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.74049191673856.2 |
x12 - 4x11 + 4x10 + 18x9 - 71x8 + 124x7 - 120x6 + 74x5 - 46x4 + 38x3 - 20x2 + 2x + 1 |
\( 2^{18}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.0.86161557405625.1 |
x12 - 2x11 + x10 - 3x9 + 16x8 - 18x7 + 2x6 + 15x5 + 40x4 - 49x3 + 29x2 - 8x + 1 |
\( 5^{4}\cdot 13^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.0.86161557405625.2 |
x12 - 4x11 + 13x10 - 28x9 + 53x8 - 76x7 + 97x6 - 86x5 + 68x4 - 28x3 + 13x2 + x + 1 |
\( 5^{4}\cdot 13^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.96717311574016.6 |
x12 - 2x10 - 5x8 + 4x6 - 5x4 - 2x2 + 1 |
\( 2^{24}\cdot 7^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.96717311574016.7 |
x12 + 2x10 - 5x8 - 4x6 - 5x4 + 2x2 + 1 |
\( 2^{24}\cdot 7^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.101559956668416.1 |
x12 - 6x11 + 12x10 - 2x9 - 33x8 + 72x7 - 94x6 + 126x5 - 204x4 + 272x3 - 258x2 + 168x - 53 |
\( 2^{18}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.101559956668416.3 |
x12 - 6x11 + 12x10 - 2x9 - 33x8 + 36x7 + 32x6 - 36x5 - 33x4 + 2x3 + 12x2 + 6x + 1 |
\( 2^{18}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.371667309755625.2 |
x12 - 36x8 + 65x6 - 36x4 + 1 |
\( 3^{6}\cdot 5^{4}\cdot 13^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.371667309755625.3 |
x12 - 2x11 - 6x10 + 19x9 - 6x8 - 15x7 + 7x6 - 29x5 + 71x4 - 22x3 - 58x2 + 10x + 25 |
\( 3^{6}\cdot 5^{4}\cdot 13^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.722204136308736.3 |
x12 + 6x10 + 6x8 - 12x6 - 27x4 - 12x2 + 1 |
\( 2^{24}\cdot 3^{16} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.722204136308736.7 |
x12 - 6x10 + 6x8 + 12x6 - 27x4 + 12x2 + 1 |
\( 2^{24}\cdot 3^{16} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.1101670627147776.2 |
x12 - 4x11 + 12x9 + 30x8 - 106x7 - 56x6 + 328x5 - 327x4 - 2x3 + 112x2 - 18x + 1 |
\( 2^{18}\cdot 3^{6}\cdot 7^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.1101670627147776.4 |
x12 - 4x11 + 6x10 + 12x9 - 111x8 + 338x7 - 644x6 + 862x5 - 726x4 + 376x3 - 158x2 + 6x + 1 |
\( 2^{18}\cdot 3^{6}\cdot 7^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.0.2572632521265625.1 |
x12 - x11 + 8x10 - 18x9 + 79x8 - 128x7 + 315x6 - 447x5 + 900x4 - 871x3 + 1432x2 - 1230x + 1681 |
\( 5^{6}\cdot 7^{8}\cdot 13^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
(GRH)
|
| 12.0.2572632521265625.2 |
x12 + 14x10 + 89x8 + 301x6 + 272x4 + 595x2 + 1849 |
\( 5^{6}\cdot 7^{8}\cdot 13^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.4739148267126784.4 |
x12 - 2x10 - 3x8 - 8x6 + 2x4 - 18x2 + 1 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.0.4739148267126784.5 |
x12 + 4x10 + 2x8 + 22x6 + 25x4 + 16x2 + 1 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.4739148267126784.5 |
x12 - 4x10 + 2x8 - 22x6 + 25x4 - 16x2 + 1 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.0.4739148267126784.6 |
x12 + 2x10 - 3x8 + 8x6 + 2x4 + 18x2 + 1 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.4739148267126784.8 |
x12 + 2x10 - 3x8 - 6x6 - 26x4 - 10x2 + 1 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.4739148267126784.11 |
x12 - 4x10 + 2x8 - 8x6 - 31x4 - 2x2 + 1 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.4739148267126784.12 |
x12 + 4x10 + 2x8 + 8x6 - 31x4 + 2x2 + 1 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.4739148267126784.17 |
x12 - 2x10 - 3x8 + 6x6 - 26x4 + 10x2 + 1 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.4739148267126784.24 |
x12 - 14x8 - 70x6 - 147x4 + 49 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.4739148267126784.25 |
x12 - 14x8 + 70x6 - 147x4 + 49 |
\( 2^{24}\cdot 7^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.5881408402696281.1 |
x12 - 4x11 + 8x10 - 21x9 - 8x8 - 87x7 - 141x6 - 178x5 - 183x4 - 98x3 - 76x2 - 11x + 1 |
\( 3^{6}\cdot 7^{10}\cdot 13^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.5881408402696281.2 |
x12 - 2x11 + 9x10 + 7x9 - 32x8 + 141x7 - 190x6 + 16x5 - 16x4 + 21x3 + 39x2 + 6x + 1 |
\( 3^{6}\cdot 7^{10}\cdot 13^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.6499837226778624.6 |
x12 - 6x10 + 18x8 - 32x6 + 33x4 - 18x2 + 1 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.0.6499837226778624.8 |
x12 - 3x8 + 32x6 - 18x4 + 6x2 + 1 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.6499837226778624.11 |
x12 - 3x8 - 32x6 - 18x4 - 6x2 + 1 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.6499837226778624.12 |
x12 + 6x10 + 6x8 + 10x6 - 15x4 - 6x2 + 1 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.0.6499837226778624.15 |
x12 + 6x10 + 18x8 + 32x6 + 33x4 + 18x2 + 1 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.6499837226778624.19 |
x12 - 9x8 - 8x6 - 9x4 + 1 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.6499837226778624.20 |
x12 - 9x8 + 8x6 - 9x4 + 1 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.6499837226778624.26 |
x12 - 6x10 + 6x8 - 10x6 - 15x4 + 6x2 + 1 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.6499837226778624.37 |
x12 - 27x8 + 36x6 + 18x4 - 54x2 + 9 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.6499837226778624.41 |
x12 - 27x8 - 36x6 + 18x4 + 54x2 + 9 |
\( 2^{24}\cdot 3^{18} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.0.9845005879332009.1 |
x12 - 6x11 + 27x10 - 67x9 + 150x8 - 189x7 + 328x6 - 150x5 + 324x4 + 123x3 + 63x2 + 9 |
\( 3^{18}\cdot 71^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2, 2]$
|
| 12.0.9845005879332009.2 |
x12 - 3x10 + 33x8 - 44x6 + 282x4 - 177x2 + 289 |
\( 3^{18}\cdot 71^{4} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[4]$
|
| 12.4.13685690504052736.13 |
x12 + 2x10 - 6x8 + 4x6 - 7x4 - 24x2 + 25 |
\( 2^{24}\cdot 13^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.13685690504052736.14 |
x12 - 2x10 - 6x8 - 4x6 - 7x4 + 24x2 + 25 |
\( 2^{24}\cdot 13^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.36138776487264256.4 |
x12 - 6x11 + 16x10 - 12x9 - 32x8 + 56x7 - 54x6 - 86x5 - 89x4 - 190x3 - 30x2 + 62x - 1 |
\( 2^{18}\cdot 13^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.36138776487264256.5 |
x12 - 6x11 + 16x10 - 12x9 - 32x8 + 56x7 - 54x6 + 174x5 - 193x4 - 190x3 + 178x2 + 218x - 1 |
\( 2^{18}\cdot 13^{10} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
| 12.4.55895067029733376.1 |
x12 - 6x11 + 12x10 + 4x9 - 85x8 + 258x7 - 472x6 + 600x5 - 543x4 + 350x3 - 158x2 + 48x - 8 |
\( 2^{16}\cdot 31^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
Trivial
|
| 12.4.55895067029733376.5 |
x12 - 5x10 + 20x8 - 117x6 + 157x4 - 448x2 + 4 |
\( 2^{16}\cdot 31^{8} \) |
$C_2^2 \times A_4$ (as 12T26) |
$[2]$
|
