| 12.0.51067940737.1 |
x12 - 3x11 + 6x10 - 10x9 + 15x8 - 18x7 + 20x6 - 19x5 + 16x4 - 12x3 + 7x2 - 3x + 1 |
\( 11^{2}\cdot 31^{4}\cdot 457 \) |
12T250 |
Trivial
|
| 12.0.51514924901.1 |
x12 - 2x11 - x10 + 2x9 + 4x8 - x7 - 7x6 + x5 + 4x4 - 2x3 - x2 + 2x + 1 |
\( 11^{2}\cdot 31^{4}\cdot 461 \) |
12T250 |
Trivial
|
| 12.0.85681997221.1 |
x12 - x11 - 2x10 + 3x9 + 2x8 - 4x7 - x6 + 3x5 + 2x4 - 2x3 - 2x2 + x + 1 |
\( 23^{4}\cdot 53^{2}\cdot 109 \) |
12T250 |
Trivial
|
| 12.0.105170124461.1 |
x12 - 2x11 + x10 + x9 + x8 - 7x7 + 12x6 - 12x5 + 11x4 - 10x3 + 7x2 - 3x + 1 |
\( 23^{4}\cdot 61^{2}\cdot 101 \) |
12T250 |
Trivial
|
| 12.2.173809422763.1 |
x12 - 2x11 + 3x10 - 2x9 - 2x8 + 4x7 - 2x5 + 4x3 - 3x2 - x + 1 |
\( -\,31^{4}\cdot 53^{2}\cdot 67 \) |
12T250 |
Trivial
|
| 12.2.175113024319.1 |
x12 - 4x11 + 8x10 - 9x9 + 4x8 + 5x7 - 16x6 + 23x5 - 24x4 + 19x3 - 12x2 + 5x - 1 |
\( -\,23^{4}\cdot 79\cdot 89^{2} \) |
12T250 |
Trivial
|
| 12.2.803640236800.1 |
x12 - x11 - x10 - x9 - x8 - 2x7 + 3x6 + 2x5 + x4 - 3x3 + 4x2 - 4x + 1 |
\( -\,2^{8}\cdot 5^{2}\cdot 37^{4}\cdot 67 \) |
12T250 |
Trivial
|
| 12.4.888218971933.1 |
x12 - 6x11 + 18x10 - 35x9 + 47x8 - 44x7 + 19x6 + 16x5 - 40x4 + 39x3 - 23x2 + 8x - 1 |
\( 23^{4}\cdot 61^{2}\cdot 853 \) |
12T250 |
Trivial
|
| 12.4.953506996597.1 |
x12 - 3x10 - 4x9 + 6x8 + 7x7 - 7x6 - 7x5 + 6x4 + 4x3 - 3x2 + 1 |
\( 23^{4}\cdot 53^{2}\cdot 1213 \) |
12T250 |
Trivial
|
| 12.2.1379382496000.1 |
x12 - 3x11 - x10 + 11x9 - 7x8 - 8x7 + 3x6 + 8x5 + 3x4 - 9x3 - 2x2 + 4x + 1 |
\( -\,2^{8}\cdot 5^{3}\cdot 23\cdot 37^{4} \) |
12T250 |
Trivial
|
| 12.2.4108952252547.1 |
x12 - 2x11 + 2x10 - 4x9 + 5x8 - 5x7 + 5x6 - 5x5 + 5x4 - 4x3 + 2x2 - 2x + 1 |
\( -\,3^{6}\cdot 43\cdot 107^{4} \) |
12T250 |
Trivial
|
| 12.2.4955411878659.1 |
x12 - 2x11 + x10 + x9 - 3x8 + 4x7 - 3x6 + 4x5 - 3x4 + x3 + x2 - 2x + 1 |
\( -\,3^{2}\cdot 11^{5}\cdot 43^{4} \) |
12T250 |
Trivial
|
| 12.4.6593435009901.1 |
x12 - 2x11 - 3x10 + 8x9 + 2x8 - 23x7 + 35x6 - 23x5 + 2x4 + 8x3 - 3x2 - 2x + 1 |
\( 3^{7}\cdot 23\cdot 107^{4} \) |
12T250 |
Trivial
|
| 12.4.6681009132800.1 |
x12 - 6x10 - x9 + 11x8 + 8x7 - 7x6 - 18x5 - 7x4 + 17x3 + 15x2 + 3x + 1 |
\( 2^{8}\cdot 5^{2}\cdot 37^{4}\cdot 557 \) |
12T250 |
Trivial
|
| 12.4.7544622521600.1 |
x12 - x11 - 2x10 - 6x9 - 3x8 + 12x7 + 15x6 + 18x5 + 13x4 + 8x3 + 8x2 + 3x + 1 |
\( 2^{8}\cdot 5^{2}\cdot 17\cdot 37^{5} \) |
12T250 |
Trivial
|
| 12.4.8870941064448.1 |
x12 - 2x10 - 5x9 + 3x8 + 14x7 - 5x6 - 16x5 + 9x4 + 9x3 - 7x2 - 3x + 1 |
\( 2^{8}\cdot 3^{2}\cdot 37\cdot 101^{4} \) |
12T250 |
Trivial
|
| 12.6.9842374000287.1 |
x12 - 4x11 + 3x10 + 15x9 - 40x8 + 30x7 + 18x6 - 39x5 + 12x4 + 9x3 - 7x2 + 1 |
\( -\,3^{6}\cdot 103\cdot 107^{4} \) |
12T250 |
Trivial
|
| 12.6.10218945315584.1 |
x12 - 3x11 - x10 + 9x9 - x8 - 16x7 + 3x6 + 24x5 - 9x4 - 19x3 + 8x2 + 6x - 1 |
\( -\,2^{8}\cdot 19^{2}\cdot 37^{4}\cdot 59 \) |
12T250 |
Trivial
|
| 12.0.10385511940096.1 |
x12 - 3x11 + 6x10 - 9x9 + 8x8 - 9x7 + 8x6 - 5x5 + 10x4 - 11x3 + 10x2 - 5x + 1 |
\( 2^{22}\cdot 19^{5} \) |
12T250 |
Trivial
|
| 12.4.13473541107189.1 |
x12 - 2x11 - 4x10 + 3x9 + 10x8 + 10x7 - 8x6 - 26x5 - 14x4 + 12x3 + 18x2 + 8x + 1 |
\( 3^{7}\cdot 47\cdot 107^{4} \) |
12T250 |
Trivial
|
| 12.0.14837357804800.1 |
x12 - 3x11 + 5x10 - 5x9 + 5x8 - 10x7 + 17x6 - 14x5 + 17x4 - 13x3 + 12x2 + 5 |
\( 2^{8}\cdot 5^{2}\cdot 37^{4}\cdot 1237 \) |
12T250 |
Trivial
|
| 12.0.15333570117632.1 |
x12 + x10 - 3x8 + 6x4 - 6x2 + 2 |
\( 2^{29}\cdot 13^{4} \) |
12T250 |
Trivial
|
| 12.0.16267766268325.1 |
x12 - x11 + 2x10 - 8x9 - 2x8 + 18x6 + 11x5 + 6x4 + 2x3 + 4x2 - x + 1 |
\( 5^{2}\cdot 11^{4}\cdot 13\cdot 43^{4} \) |
12T250 |
Trivial
|
| 12.2.30667140235264.1 |
x12 + x10 - 5x8 - 14x6 - 15x4 - 5x2 - 1 |
\( -\,2^{30}\cdot 13^{4} \) |
12T250 |
Trivial
|
| 12.4.41477643355392.1 |
x12 - 3x11 + x10 + 5x9 - 9x8 + 14x7 - 21x6 + 20x5 - 13x4 + 11x3 - 8x2 + 2x + 1 |
\( 2^{8}\cdot 3^{2}\cdot 101^{4}\cdot 173 \) |
12T250 |
Trivial
|
| 12.0.41542047760384.1 |
x12 - 3x11 + 9x10 - 17x9 + 26x8 - 24x7 + 24x6 - 8x5 + 5x4 + x3 + 5x2 - 5x + 2 |
\( 2^{24}\cdot 19^{5} \) |
12T250 |
Trivial
|
| 12.4.42296192297645.1 |
x12 - 3x11 - x10 + 11x9 - 11x8 - 7x7 + 19x6 - 7x5 - 11x4 + 11x3 - x2 - 3x + 1 |
\( 5\cdot 11^{4}\cdot 13^{2}\cdot 43^{4} \) |
12T250 |
Trivial
|
| 12.2.49331181715456.1 |
x12 + 4x10 - 4x6 + 15x4 + 20x2 - 4 |
\( -\,2^{20}\cdot 19^{6} \) |
12T250 |
Trivial
|
| 12.0.53484536738816.1 |
x12 - 4x10 - 2x9 + 11x8 + 6x7 - 8x6 - 6x5 + 11x4 + 2x3 - 4x2 + 1 |
\( 2^{10}\cdot 29\cdot 31^{2}\cdot 37^{4} \) |
12T250 |
Trivial
|
| 12.0.53484536738816.2 |
x12 - 3x11 + 5x10 - 2x9 - 5x8 + 5x7 + 2x6 - 5x5 - 5x4 + 2x3 + 5x2 + 3x + 1 |
\( 2^{10}\cdot 29\cdot 31^{2}\cdot 37^{4} \) |
12T250 |
Trivial
|
| 12.2.57127475625984.1 |
x12 + 3x10 - 2x6 - 9x4 + 12x2 - 4 |
\( -\,2^{14}\cdot 3^{20} \) |
12T250 |
Trivial
|
| 12.2.61334280470528.1 |
x12 + 5x10 + 5x8 + 4x6 + 2x4 - 2x2 - 2 |
\( -\,2^{31}\cdot 13^{4} \) |
12T250 |
Trivial
|
| 12.0.61334280470528.11 |
x12 + 7x10 + 20x8 + 32x6 + 34x4 + 22x2 + 8 |
\( 2^{31}\cdot 13^{4} \) |
12T250 |
Trivial
|
| 12.0.69965554122752.2 |
x12 + 6x10 + 13x8 + 12x6 + 2x4 - 4x2 + 2 |
\( 2^{29}\cdot 19^{4} \) |
12T250 |
Trivial
|
| 12.0.86029994295296.3 |
x12 - 2x11 + 9x10 - 10x9 + 29x8 - 20x7 + 38x6 + 22x4 + 4x3 + 10x2 + 2 |
\( 2^{22}\cdot 29^{5} \) |
12T250 |
Trivial
|
| 12.0.86029994295296.4 |
x12 - 6x11 + 25x10 - 68x9 + 148x8 - 244x7 + 332x6 - 348x5 + 302x4 - 192x3 + 98x2 - 24x + 4 |
\( 2^{22}\cdot 29^{5} \) |
12T250 |
Trivial
|
| 12.2.94929648877568.1 |
x12 + 6x10 + 17x8 + 28x6 + 24x4 + 8x2 - 8 |
\( -\,2^{27}\cdot 29^{4} \) |
12T250 |
Trivial
|
| 12.2.94929648877568.2 |
x12 - 3x8 + 2x6 + 6x4 - 8x2 - 2 |
\( -\,2^{27}\cdot 29^{4} \) |
12T250 |
Trivial
|
| 12.0.94929648877568.1 |
x12 + x10 - 2x6 + 9x4 + 5x2 + 2 |
\( 2^{27}\cdot 29^{4} \) |
12T250 |
Trivial
|
| 12.0.94929648877568.5 |
x12 + 6x10 + 10x8 - 11x4 - 6x2 + 8 |
\( 2^{27}\cdot 29^{4} \) |
12T250 |
Trivial
|
| 12.4.99668205764608.1 |
x12 - x11 + x10 + x9 - 13x8 + 8x7 + 8x6 - 16x5 + 18x4 - 2x3 - 14x2 + 10x - 2 |
\( 2^{28}\cdot 13^{5} \) |
12T250 |
Trivial
|
| 12.0.99668205764608.4 |
x12 + 5x10 - x8 - 18x6 - 5x4 + 13x2 + 13 |
\( 2^{28}\cdot 13^{5} \) |
12T250 |
Trivial
|
| 12.0.114254951251968.1 |
x12 - 3x11 + 6x10 - 7x9 + 15x8 - 18x7 + 28x6 - 18x5 + 15x4 - 7x3 + 6x2 - 3x + 1 |
\( 2^{15}\cdot 3^{20} \) |
12T250 |
Trivial
|
| 12.8.117354816257301.1 |
x12 - 2x11 - 2x10 + 4x9 - 8x8 + 6x7 + 31x6 - 17x5 - 30x4 + 11x3 + 10x2 - 2x - 1 |
\( 3^{2}\cdot 7^{2}\cdot 61\cdot 257^{4} \) |
12T250 |
Trivial
|
| 12.4.117354816257301.1 |
x12 - x11 - 6x10 + 9x9 + 5x8 - 2x7 - 2x6 - 28x5 + 12x4 + 25x3 - 17x2 + 7 |
\( 3^{2}\cdot 7^{2}\cdot 61\cdot 257^{4} \) |
12T250 |
Trivial
|
| 12.8.123555238663797.1 |
x12 - 3x11 - 2x10 + 13x9 - 11x8 + 5x7 + 10x6 - 37x5 + 7x4 + 27x3 - 2x2 - 6x - 1 |
\( 3^{7}\cdot 107^{4}\cdot 431 \) |
12T250 |
Trivial
|
| 12.6.128897912938347.1 |
x12 - 4x11 + 17x9 - 15x8 - 14x7 + 15x6 - x5 + 14x4 - 14x3 - 7x2 + 12x - 3 |
\( -\,3^{2}\cdot 7^{2}\cdot 67\cdot 257^{4} \) |
12T250 |
Trivial
|
| 12.2.128897912938347.1 |
x12 - x11 - 2x10 + 7x9 - 10x8 + 11x7 - 11x6 + 11x5 - 10x4 + 7x3 - 2x2 - x + 1 |
\( -\,3^{2}\cdot 7^{2}\cdot 67\cdot 257^{4} \) |
12T250 |
Trivial
|
| 12.0.131593177923584.1 |
x12 - 2x10 - 10x9 - 11x8 + 6x7 + 42x6 + 82x5 + 91x4 + 68x3 + 36x2 + 12x + 2 |
\( 2^{21}\cdot 13^{7} \) |
12T250 |
Trivial
|
| 12.2.139931108245504.3 |
x12 - 3x10 + 3x8 - 2x6 + 9x4 - 5x2 - 1 |
\( -\,2^{30}\cdot 19^{4} \) |
12T250 |
Trivial
|
