| 15.3.1788527348449625.1 |
x15 - 2x14 + 4x13 - 9x12 + 13x11 - 15x10 + 18x9 - 23x8 + 33x7 - 44x6 + 48x5 - 44x4 + 30x3 - 16x2 + 6x - 1 |
\( 5^{3}\cdot 7^{10}\cdot 37^{3} \) |
$S_5 \times C_3$ (as 15T24) |
Trivial
|
| 15.3.2164169497031757.1 |
x15 - 7x14 + 23x13 - 45x12 + 54x11 - 32x10 - 14x9 + 55x8 - 72x7 + 69x6 - 57x5 + 39x4 - 21x3 + 9x2 - 4x + 1 |
\( 3^{3}\cdot 69593\cdot 1151759887 \) |
15T104 |
Trivial
|
| 15.3.2354315214908549.1 |
x15 - x14 + x13 - x12 - x11 + 3x10 - 2x9 + 2x8 - 2x7 - x6 + 2x3 - x2 + 2x - 1 |
\( 27765763\cdot 84792023 \) |
15T104 |
Trivial
|
| 15.3.2432060458605625.1 |
x15 - x14 - 2x13 + x12 + 2x11 - 4x10 - 4x9 + 3x8 + 4x7 - 2x6 - 3x5 + 5x4 + 5x3 - x2 - 4x - 1 |
\( 5^{4}\cdot 19^{2}\cdot 47^{6} \) |
15T46 |
Trivial
|
| 15.3.3276367268581097.1 |
x15 - 6x13 - x12 + 16x11 + 8x10 - 20x9 - 24x8 + 4x7 + 31x6 + 15x5 - 15x4 - 14x3 + x2 + 4x + 1 |
\( 3276367268581097 \) |
15T104 |
Trivial
|
| 15.3.4864965285308625.1 |
x15 - 3x14 + 6x13 - 12x12 + 14x11 - 17x10 + 24x9 - 28x8 + 31x7 - 21x6 + 18x5 - 15x4 + 16x3 - 11x2 + 5x - 1 |
\( 3^{9}\cdot 5^{3}\cdot 7^{11} \) |
$S_5 \times C_3$ (as 15T24) |
Trivial
|
| 15.3.6114596477365737.1 |
x15 - 3x14 + 5x13 - 2x12 - 8x11 + 18x10 - 18x9 + 20x7 - 27x6 + 15x5 + 3x4 - 11x3 + 10x2 - 5x + 1 |
\( 3^{4}\cdot 15601\cdot 4838718377 \) |
15T104 |
Trivial
|
| 15.3.10544075126076649.1 |
x15 - 6x14 + 11x13 - x12 - 10x11 - 13x10 + 18x9 + 40x8 - 30x7 - 64x6 + 42x5 + 47x4 - 27x3 - 19x2 + 9x + 1 |
\( 37^{2}\cdot 43^{2}\cdot 1609^{3} \) |
15T78 |
Trivial
|
| 15.3.11354350039657729.1 |
x15 - 4x14 + 5x13 + x12 - 7x11 + x10 + 7x9 - 2x8 - 8x7 + 22x6 - 37x5 + 35x4 - 20x3 + 11x2 - 7x + 1 |
\( 13^{2}\cdot 127^{2}\cdot 1609^{3} \) |
15T78 |
Trivial
|
| 15.3.12853809661090929.1 |
x15 - x14 - x13 + 3x12 - x10 - 4x9 + 4x8 + 2x7 - 7x6 - x5 + 2x4 - x3 + 2x + 1 |
\( 3\cdot 4284603220363643 \) |
15T104 |
Trivial
|
| 15.3.15315650494266781.1 |
x15 - 2x14 + x13 - x12 + 7x11 - 5x10 - 10x9 + 7x8 + 16x7 - 15x6 - 19x5 + 27x4 - 2x3 - 11x2 + 6x - 1 |
\( 127^{2}\cdot 9829^{3} \) |
15T78 |
Trivial
|
| 15.3.16680932154277329.1 |
x15 - 2x14 + 6x13 - 14x12 + 23x11 - 35x10 + 44x9 - 41x8 + 25x7 - 4x6 - 20x5 + 34x4 - 30x3 + 17x2 - 6x + 1 |
\( 3\cdot 47\cdot 103\cdot 11057\cdot 103878739 \) |
15T104 |
Trivial
|
| 15.3.19664802801826816.1 |
x15 - 5x14 + 14x13 - 23x12 + 19x11 + 7x10 - 41x9 + 47x8 - 10x7 - 39x6 + 50x5 - 18x4 - 16x3 + 21x2 - 9x + 1 |
\( 2^{10}\cdot 79^{7} \) |
$D_5\times S_3$ (as 15T7) |
Trivial
|
| 15.3.21643467887730481.1 |
x15 - x14 - x13 + x12 - 7x11 - 2x10 + 18x9 + 12x8 - 17x7 + 7x6 - 11x5 - 21x4 + 22x3 - 11x2 - 2x - 1 |
\( 13^{2}\cdot 47^{6}\cdot 109^{2} \) |
15T46 |
Trivial
|
| 15.3.23713122135310336.1 |
x15 - 5x14 + 10x13 - 5x12 - 15x11 + 29x10 - 8x9 - 31x8 + 36x7 - 24x5 + 12x4 + 9x3 - 9x2 + 1 |
\( 2^{18}\cdot 67^{6} \) |
$A_5$ (as 15T5) |
Trivial
|
| 15.3.31123779291971584.1 |
x15 + x13 - x12 - 5x11 - 4x10 - 5x9 - x8 + 4x7 + 2x6 - 2x5 - 4x4 - 5x3 - 4x2 - 3x - 1 |
\( 2^{18}\cdot 587^{4} \) |
15T28 |
Trivial
|
| 15.3.39671359416303616.1 |
x15 - 7x14 + 24x13 - 47x12 + 46x11 + 18x10 - 150x9 + 296x8 - 383x7 + 371x6 - 282x5 + 171x4 - 83x3 + 31x2 - 8x + 1 |
\( 2^{18}\cdot 73^{6} \) |
$A_5$ (as 15T5) |
Trivial
|
| 15.3.47090024679574321.1 |
x15 - x12 - x11 - x8 - 2x7 + 2x5 + 3x4 + 2x3 - x - 1 |
\( 14731^{4} \) |
15T28 |
Trivial
|
| 15.3.57352136505929721.1 |
x15 - 2x14 + 4x13 - 10x12 + 22x11 - 33x10 + 40x9 - 63x8 + 81x7 - 81x6 + 63x5 - 69x4 + 57x3 - 24x2 + 3 |
\( 3^{18}\cdot 23^{6} \) |
15T53 |
Trivial
|
| 15.3.59463924292145152.1 |
x15 - x14 - 6x13 + 15x12 - 9x11 - 13x10 + 30x9 - 31x8 + 24x7 - 14x6 + 10x5 - 18x4 + 27x3 - 21x2 + 8x - 1 |
\( 2^{12}\cdot 13^{9}\cdot 37^{2} \) |
15T56 |
Trivial
|
| 15.3.69184806150882304.1 |
x15 + x13 - 3x12 - 3x11 - 5x10 - 2x9 + 3x8 + 7x7 + 4x6 + x5 + x4 + 3x3 + x2 - 1 |
\( 2^{10}\cdot 47^{4}\cdot 61^{4} \) |
15T28 |
Trivial
|
| 15.3.98765528526263521.1 |
x15 - 3x14 + 7x13 - 12x12 + 8x11 - 2x10 - 17x9 + 36x8 - 49x7 + 54x6 - 41x5 + 30x4 - 17x3 + 8x2 - 5x + 3 |
\( 13^{3}\cdot 31^{6}\cdot 37^{3} \) |
$S_5 \times S_3$ (as 15T29) |
Trivial
|
| 15.3.126064044311049216.1 |
x15 - 4x14 + 3x13 + 15x12 - 40x11 + 23x10 + 52x9 - 111x8 + 83x7 - 67x5 + 86x4 - 62x3 + 26x2 - 7x + 1 |
\( 2^{10}\cdot 3^{5}\cdot 47^{7} \) |
$D_5\times S_3$ (as 15T7) |
Trivial
|
| 15.3.137631064560062464.1 |
x15 - x14 - 2x13 + 3x12 + 11x11 - 5x10 - 14x9 - 5x8 - 10x7 + 22x6 + 14x5 + 2x4 - 13x3 - 5x2 + 1 |
\( 2^{12}\cdot 23^{6}\cdot 61^{3} \) |
$S_5 \times S_3$ (as 15T29) |
Trivial
|
| 15.3.146928604515779584.1 |
x15 - 2x14 - 3x13 + 9x12 - x11 - 5x10 + 4x9 - x8 + x7 - x5 - x4 + 7x3 - x2 + 1 |
\( 2^{10}\cdot 3461^{4} \) |
15T28 |
Trivial
|
| 15.3.334095024862954369.1 |
x15 - 2x14 + 3x13 - 5x12 + x11 - 19x10 + 16x9 - 26x8 + 55x7 - 78x6 + 88x5 - 54x4 + 39x3 - 52x2 + 21x - 1 |
\( 7^{12}\cdot 17^{6} \) |
$D_5\times C_3$ (as 15T3) |
Trivial
|
| 15.3.351730374981194881.1 |
x15 - 2x14 + x12 - 6x11 + 27x9 - 37x8 + 44x7 - 34x6 + 14x5 - 15x4 - 8x3 + 9x - 1 |
\( 7^{12}\cdot 71^{4} \) |
15T30 |
Trivial
|
| 15.3.872411699045053489.1 |
x15 - x14 - 10x12 + 17x11 - 6x10 - 17x9 + 35x8 - 10x7 - 19x6 + 23x5 - 16x4 - 5x3 + 10x2 - 4x + 1 |
\( 7^{8}\cdot 73^{6} \) |
$\GL(2,4)$ (as 15T15) |
Trivial
|
| 15.3.872411699045053489.2 |
x15 - 4x14 + 10x13 - 12x12 + 5x11 + 9x10 - 5x9 - 17x8 + 21x7 + 4x6 - 27x5 + 17x4 - 10x3 + 7x2 - x + 1 |
\( 7^{8}\cdot 73^{6} \) |
$\GL(2,4)$ (as 15T15) |
Trivial
|
| 15.3.1240576436601868288.1 |
x15 - 5x14 + 16x13 - 39x12 + 65x11 - 91x10 + 78x9 - 39x8 - 26x7 + 78x6 - 78x5 + 52x4 - 13x3 - 9x2 + 6x - 1 |
\( 2^{12}\cdot 13^{13} \) |
$F_5\times C_3$ (as 15T8) |
Trivial
|
| 15.3.1317156265515729717.1 |
x15 - 5x12 + 9x9 - 5x6 - 2x3 + 1 |
\( 3^{15}\cdot 13^{3}\cdot 347^{3} \) |
15T70 |
Trivial
|
| 15.3.1317156265515729717.2 |
x15 - x9 - 2x6 + 1 |
\( 3^{15}\cdot 13^{3}\cdot 347^{3} \) |
15T70 |
Trivial
|
| 15.3.1324654439158203125.1 |
x15 - 14x10 + 35x5 + 7 |
\( 5^{9}\cdot 7^{14} \) |
$F_5\times C_3$ (as 15T8) |
Trivial
|
| 15.3.1483978183108890624.1 |
x15 - 3x14 + 5x13 - 2x12 + 3x11 + 11x10 + x9 + 22x8 + 13x7 + 9x6 + 5x5 - 12x4 - 14x3 - 12x2 - 8x - 2 |
\( 2^{12}\cdot 3^{6}\cdot 89^{6} \) |
$S_5$ (as 15T10) |
Trivial
|
| 15.3.1850284719998930944.1 |
x15 - 2x14 + 13x12 - 18x11 + 38x9 - 58x8 + 38x7 - 12x6 - 58x5 + 110x4 - 77x3 + 22x2 - 1 |
\( 2^{12}\cdot 277^{6} \) |
$S_5$ (as 15T10) |
Trivial
|
| 15.3.1885291498051680625.1 |
x15 - 3x13 - 5x12 - 5x11 + 23x10 - 9x9 + 6x8 + 19x7 - 147x6 + 180x5 + 41x4 - 193x3 + 113x2 - 27x + 5 |
\( 5^{4}\cdot 23^{4}\cdot 47^{6} \) |
15T34 |
Trivial
|
| 15.3.1933815466333523968.1 |
x15 - 4x14 + 7x13 - 15x12 + 18x11 - 24x10 + 36x9 - 16x8 + 71x7 + 69x5 + 67x4 + 17x3 + 48x2 + 27x + 5 |
\( 2^{12}\cdot 13^{9}\cdot 211^{2} \) |
15T56 |
Trivial
|
| 15.3.2053114669060957129.1 |
x15 - 2x14 + 3x13 - 10x12 + 35x11 - 124x10 + 208x9 - 195x8 + 86x7 + 81x6 - 88x5 + 50x4 + 24x3 - 8x2 - 3x + 1 |
\( 149^{4}\cdot 1609^{3} \) |
15T63 |
Trivial
|
| 15.3.2229025112064000000.1 |
x15 - 5x14 + 9x13 - 11x12 + 17x11 - 17x10 - 3x9 + 13x8 - x7 + 21x6 - 25x5 - 5x4 - 13x3 - 3x2 - x - 1 |
\( 2^{28}\cdot 3^{12}\cdot 5^{6} \) |
$S_5$ (as 15T10) |
Trivial
|
| 15.3.3044861534083891921.1 |
x15 - 2x14 + 2x13 - 2x11 + 12x10 + 37x9 + 2x8 + 37x7 - 37x6 - 39x5 + 47x4 - 22x3 + 6x2 - 1 |
\( 7^{10}\cdot 47^{6} \) |
$D_5\times C_3$ (as 15T3) |
Trivial
|
| 15.3.3499598836464091136.1 |
x15 - 3x14 + x13 - x12 + 6x11 - 14x9 + 42x8 - 17x7 - 17x6 + 51x5 - 15x4 - 2x3 - 8x2 - 10x + 2 |
\( 2^{20}\cdot 17^{6}\cdot 37^{2}\cdot 101 \) |
15T90 |
Trivial
|
| 15.3.4475148976045136896.1 |
x15 + 5x13 - 10x12 + 9x11 - 36x10 + 41x9 - 30x8 + 58x7 - 24x6 - 49x5 + 74x4 - 72x3 + 80x2 - 80x + 32 |
\( 2^{10}\cdot 13^{3}\cdot 347^{3}\cdot 47609 \) |
15T93 |
Trivial
|
| 15.3.4764958873194030625.1 |
x15 - 3x14 - 8x13 + 32x12 + 16x11 - 134x10 + 43x9 + 244x8 - 211x7 - 98x6 + 134x5 + 49x4 - 110x3 + 55x2 - 12x + 1 |
\( 5^{4}\cdot 29^{4}\cdot 47^{6} \) |
15T34 |
Trivial
|
| 15.3.6154112798000000000.1 |
x15 - 7x10 + 9x5 + 1 |
\( 2^{10}\cdot 5^{9}\cdot 79^{5} \) |
15T27 |
Trivial
|
| 15.3.6653718481802353153.1 |
x15 - 2x14 + 4x13 - 6x12 + 7x11 - 7x10 + 5x9 - 3x8 - x7 + 4x6 - 5x5 + 4x4 - 3x3 + x - 1 |
\( 33479\cdot 37871\cdot 69401\cdot 75617 \) |
15T104 |
Trivial
|
| 15.3.7086046715229147136.1 |
x15 - 5x14 + 15x13 - 32x12 + 49x11 - 60x10 + 51x9 - 22x8 - 15x7 + 40x6 - 49x5 + 38x4 - 15x3 + 10x2 + 4x + 1 |
\( 2^{12}\cdot 59^{2}\cdot 89^{6} \) |
15T77 |
Trivial
|
| 15.3.7269488039573383941.1 |
x15 + 3x13 - 5x12 + 9x11 - 15x10 - 20x9 + 45x8 - 165x7 + 216x6 - 351x5 + 336x4 - 242x3 + 81x2 - 15x + 1 |
\( 3^{15}\cdot 47^{7} \) |
15T43 |
Trivial
|
| 15.3.7269488039573383941.2 |
x15 + 6x13 - 4x12 + 9x11 + 3x10 - 18x9 + 45x8 - 126x7 + 216x6 - 324x5 + 243x4 - 205x3 + 90x2 - 30x + 11 |
\( 3^{15}\cdot 47^{7} \) |
15T43 |
Trivial
|
| 15.3.7749103974898680572.1 |
x15 - 2x14 + 5x12 - 8x11 + 2x10 + 9x9 - 10x8 + 11x6 - 7x5 - 3x4 + 7x3 - 2x2 - 2x + 1 |
\( 2^{2}\cdot 62896103\cdot 30801208681 \) |
15T104 |
Trivial
|
| 15.3.8620460479736328125.1 |
x15 - x10 - 2x5 + 1 |
\( 5^{15}\cdot 7^{10} \) |
$(C_5^2 : C_4):C_3$ (as 15T19) |
Trivial
|
