| 15.1.723352547563839.1 |
x15 - x14 - 2x13 + 2x12 - 2x11 + 2x10 + 5x9 - 5x8 + 4x7 - 5x6 - 4x5 + 5x4 - 2x3 + x2 + x + 1 |
\( -\,3^{3}\cdot 6653\cdot 4026880369 \) |
15T104 |
Trivial
|
| 15.1.3703260525677583.1 |
x15 - 2x14 + x13 - x12 - 5x11 + 4x10 - 3x9 + 2x8 + 6x7 - 3x6 + 3x5 - 4x4 - 5x3 - 3x2 - 3x - 1 |
\( -\,3\cdot 13^{3}\cdot 561866260913 \) |
15T104 |
Trivial
|
| 15.1.5976545641547631.1 |
x15 - 2x14 + 5x13 - 10x12 + 13x11 - 20x10 + 23x9 - 22x8 + 22x7 - 20x6 + 18x5 - 20x4 + 21x3 - 15x2 + 6x - 1 |
\( -\,3\cdot 195479\cdot 10191283363 \) |
15T104 |
Trivial
|
| 15.1.6401597515801839.1 |
x15 - x14 - x13 + 2x12 - 4x11 - x10 + 3x9 + 3x8 + 12x7 - 2x6 - 14x5 + 7x4 + 11x3 - 6x2 + 1 |
\( -\,3^{9}\cdot 13^{3}\cdot 23^{6} \) |
$S_5 \times S_3$ (as 15T29) |
Trivial
|
| 15.1.24118280788986467.1 |
x15 - 2x14 + 6x12 - 13x11 + 13x10 - x9 - 21x8 + 40x7 - 41x6 + 29x5 - 18x4 + 13x3 - 7x2 + x + 1 |
\( -\,59^{6}\cdot 83^{3} \) |
$S_5 \times S_3$ (as 15T29) |
Trivial
|
| 15.1.44543599279432079.1 |
x15 - 4x14 + 4x13 + 4x12 - 5x11 - 13x10 + 20x9 + 4x8 - 15x7 - 13x6 + 27x5 - 4x4 - 8x3 - 2x2 + 6x - 1 |
\( -\,239^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.57477829056511319.1 |
x15 - 2x14 + 3x13 - 3x12 - 3x11 + 6x10 - 14x9 + 4x8 - 9x7 - 7x6 + 7x5 - 15x4 + 4x3 - 4x2 + 2x - 1 |
\( -\,1609^{3}\cdot 13798511 \) |
15T93 |
Trivial
|
| 15.1.59770508839234803.1 |
x15 - 2x12 + 3x9 - 3x6 + x3 - 1 |
\( -\,3^{15}\cdot 1609^{3} \) |
15T70 |
Trivial
|
| 15.1.59770508839234803.2 |
x15 - x9 - x6 + x3 + 1 |
\( -\,3^{15}\cdot 1609^{3} \) |
15T70 |
Trivial
|
| 15.1.69378727128301847.1 |
x15 - 2x14 + 2x13 - 2x12 + 2x11 - 4x10 + 3x9 + 2x8 + x7 - 5x6 + 3x5 + 3x4 + 6x3 + 2x2 - 1 |
\( -\,23^{5}\cdot 47^{6} \) |
$D_5\times S_3$ (as 15T7) |
Trivial
|
| 15.1.96318312824155136.1 |
x15 - 6x14 + 19x13 - 39x12 + 58x11 - 67x10 + 68x9 - 69x8 + 65x7 - 52x6 + 33x5 - 20x4 + 12x3 - 4x2 + 3x - 1 |
\( -\,2^{10}\cdot 11^{7}\cdot 13^{6} \) |
$D_5\times S_3$ (as 15T7) |
Trivial
|
| 15.1.154669958288795403.1 |
x15 - x12 + 2x9 - 3x6 + 3x3 - 1 |
\( -\,3^{15}\cdot 47^{6} \) |
15T43 |
Trivial
|
| 15.1.154669958288795403.2 |
x15 - 2x12 + 2x9 - x6 + 1 |
\( -\,3^{15}\cdot 47^{6} \) |
15T43 |
Trivial
|
| 15.1.196421600341796875.1 |
x15 - x10 + 1 |
\( -\,5^{15}\cdot 23^{5} \) |
15T27 |
Trivial
|
| 15.1.426781883555301359.1 |
x15 - x - 1 |
\( -\,52489\cdot 418511\cdot 19428121 \) |
15T104 |
Trivial
|
| 15.1.449005897206417391.1 |
x15 + x - 1 |
\( -\,7334881\cdot 61215157711 \) |
15T104 |
Trivial
|
| 15.1.677952124826430464.1 |
x15 - x14 + 4x13 + 4x11 - 2x10 - 6x9 - 12x8 - 25x7 + 19x6 - 6x5 + 28x4 + 32x3 - 36x2 + 4x + 4 |
\( -\,2^{10}\cdot 131^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.873692352294921875.1 |
x15 + x5 - 1 |
\( -\,5^{15}\cdot 31^{5} \) |
15T27 |
Trivial
|
| 15.1.957206371560558183.1 |
x15 - x14 + x13 - 6x12 - 4x11 + 5x10 + 18x9 + 23x8 - 4x5 + 4x4 + 10x3 - 5x2 + 1 |
\( -\,3^{12}\cdot 23^{9} \) |
$A_5 \times S_3$ (as 15T23) |
Trivial
|
| 15.1.957834337125359375.1 |
x15 - 6x14 + 23x13 - 67x12 + 156x11 - 307x10 + 523x9 - 771x8 + 994x7 - 1103x6 + 1049x5 - 854x4 + 579x3 - 288x2 + 89x - 13 |
\( -\,5^{6}\cdot 11^{2}\cdot 47^{7} \) |
15T45 |
Trivial
|
| 15.1.957834337125359375.2 |
x15 - 5x14 + 15x13 - 37x12 + 74x11 - 137x10 + 207x9 - 292x8 + 353x7 - 407x6 + 396x5 - 334x4 + 222x3 - 121x2 + 44x - 11 |
\( -\,5^{6}\cdot 11^{2}\cdot 47^{7} \) |
15T45 |
Trivial
|
| 15.1.1005792029461681407.1 |
x15 - 2x14 - 3x13 + 8x12 + 4x11 - 19x10 + 3x9 + 33x8 - 23x7 - 47x6 + 39x5 + 43x4 - 13x3 - 23x2 - 8x - 1 |
\( -\,3^{6}\cdot 11^{8}\cdot 23^{5} \) |
$((C_5^2 : C_3):C_2):C_2$ (as 15T18) |
Trivial
|
| 15.1.1088145913333210475.1 |
x15 - x14 + 6x13 - 8x12 + 25x11 - 40x10 + 61x9 - 74x8 + 78x7 - 83x6 + 82x5 - 36x4 - 14x3 + 35x2 - 20x + 5 |
\( -\,5^{2}\cdot 17^{4}\cdot 43\cdot 2297^{3} \) |
15T93 |
Trivial
|
| 15.1.1156440847592456192.1 |
x15 - 7x14 + 29x13 - 83x12 + 185x11 - 323x10 + 445x9 - 463x8 + 341x7 - 143x6 + 3x5 + 35x4 - 15x3 + x2 + 3x - 1 |
\( -\,2^{23}\cdot 13^{10} \) |
$F_5 \times S_3$ (as 15T11) |
Trivial
|
| 15.1.1277111238656000000.1 |
x15 - x14 + 3x13 - x12 + 3x11 + 5x10 + 11x9 + 11x8 + 17x7 + 19x6 + 11x5 + 11x4 + 9x3 + 3x2 + x + 1 |
\( -\,2^{22}\cdot 5^{6}\cdot 11^{7} \) |
$A_5 \times S_3$ (as 15T23) |
Trivial
|
| 15.1.2195519179260604096.1 |
x15 - 2x14 + 5x12 - 8x11 + 2x10 + 9x9 - 11x8 + 11x6 - 7x5 - 3x4 + 7x3 - x2 - 2x + 1 |
\( -\,2^{6}\cdot 34304987175946939 \) |
15T104 |
Trivial
|
| 15.1.2678296388369907712.1 |
x15 - 6x13 - 6x12 + 8x9 + 24x8 + 22x7 - 16x5 - 28x4 - 42x3 - 40x2 - 20x - 4 |
\( -\,2^{37}\cdot 11^{7} \) |
$F_5 \times S_3$ (as 15T11) |
Trivial
|
| 15.1.3142328914862177479.1 |
x15 - 5x14 + 11x13 - 9x12 - 7x11 + 17x10 - x9 - 29x8 + 38x7 - 13x6 - 20x5 + 24x4 + 7x3 - 23x2 + 13x - 1 |
\( -\,439^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.3866748957219885075.1 |
x15 - 4x12 + 5x9 - 4x6 + 6x3 - 5 |
\( -\,3^{15}\cdot 5^{2}\cdot 47^{6} \) |
15T55 |
Trivial
|
| 15.1.3866748957219885075.2 |
x15 - 5x12 + 10x9 - 13x6 + 13x3 - 5 |
\( -\,3^{15}\cdot 5^{2}\cdot 47^{6} \) |
15T55 |
Trivial
|
| 15.1.4947491410771484375.1 |
x15 - 6x12 + 9x11 + 20x10 + 57x9 + 29x8 + 27x7 - 53x6 - 44x5 - 84x4 - 43x3 - 100x2 - 75x - 55 |
\( -\,5^{10}\cdot 47^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.6029359418000239616.1 |
x15 - 3x14 + 10x13 - 18x12 + 41x11 - 61x10 + 57x9 - 103x8 + 29x7 - 57x6 + 17x5 - 31x4 + 12x3 - 2x2 + 3x - 1 |
\( -\,2^{10}\cdot 179^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.6400000000000000000.1 |
x15 - 5x14 + 15x13 - 35x12 + 65x11 - 93x10 + 125x9 - 125x8 + 115x7 - 55x6 + 43x5 + 5x4 + 15x3 + 5x2 + 5x - 1 |
\( -\,2^{23}\cdot 5^{17} \) |
$F_5 \times S_3$ (as 15T11) |
Trivial
|
| 15.1.7232231569547411163.1 |
x15 - x12 + 3x9 + 5x6 - 6x3 + 11 |
\( -\,3^{15}\cdot 11^{2}\cdot 1609^{3} \) |
15T83 |
Trivial
|
| 15.1.17273677054538858067.1 |
x15 - 5x12 + 4x9 + 11x6 - 5x3 - 17 |
\( -\,3^{15}\cdot 17^{2}\cdot 1609^{3} \) |
15T83 |
Trivial
|
| 15.1.31803942308779830272.1 |
x15 - 3x14 - 4x13 + 6x12 + 20x11 - 8x10 + 10x9 + 50x8 - 45x7 - 65x6 + 106x5 + 80x4 - 20x3 - 40x2 - 20x - 4 |
\( -\,2^{10}\cdot 227^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.61243167054566186591.1 |
x15 - 3x14 + 6x13 - x12 - 20x11 + 56x10 - 81x9 + 46x8 + 90x7 - 299x6 + 481x5 - 522x4 + 403x3 - 201x2 + 44x + 11 |
\( -\,11^{7}\cdot 61^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.70769080535888671875.1 |
x15 - 3x10 + 4x5 - 3 |
\( -\,3^{4}\cdot 5^{15}\cdot 31^{5} \) |
15T49 |
Trivial
|
| 15.1.70769080535888671875.2 |
x15 - 4x10 + 5x5 - 3 |
\( -\,3^{4}\cdot 5^{15}\cdot 31^{5} \) |
15T49 |
Trivial
|
| 15.1.82170576019287109375.1 |
x15 - 5x12 + 10x11 - 12x10 + 10x9 - 20x8 + 40x7 - 60x6 + 73x5 - 65x4 + 35x3 - 35x2 + 30x - 9 |
\( -\,5^{16}\cdot 7^{5}\cdot 179^{2} \) |
15T60 |
Trivial
|
| 15.1.136592086331204099072.1 |
x15 - 5x14 + 10x13 - 10x12 + 5x11 - x10 - 4x9 + 12x8 - 12x7 - 12x6 + 32x5 - 16x4 - 32x3 + 32x2 - 32 |
\( -\,2^{10}\cdot 47^{6}\cdot 179\cdot 257\cdot 269 \) |
15T86 |
Trivial
|
| 15.1.147076517543279746048.1 |
x15 - 2x13 - 4x12 + 2x11 + 8x10 + 7x9 - 6x8 - 12x7 - 8x6 + x5 + 10x4 + 40x3 + 80x2 + 80x + 32 |
\( -\,2^{10}\cdot 11\cdot 47^{6}\cdot 1211333 \) |
15T86 |
Trivial
|
| 15.1.151702388076465973431.1 |
x15 - 3x14 + 12x13 - 5x12 + 21x11 + 15x10 + 43x9 + 54x8 + 60x7 + 93x6 + 96x5 + 108x4 + 105x3 + 72x2 + 36x + 9 |
\( -\,3^{17}\cdot 53^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.226088483492870984375.1 |
x15 - 4x14 + 17x13 - 53x12 + 140x11 - 315x10 + 649x9 - 1181x8 + 2031x7 - 3517x6 + 5807x5 - 7666x4 + 7125x3 - 4041x2 + 1081x + 47 |
\( -\,5^{6}\cdot 13^{4}\cdot 47^{7} \) |
15T35 |
Trivial
|
| 15.1.238837909469958359375.1 |
x15 - 5x14 + 9x13 - 11x12 + 24x11 - 54x10 + 89x9 - 73x8 - 58x7 + 102x6 + 74x5 - 58x4 - 35x3 - 230x2 + 325x - 125 |
\( -\,5^{7}\cdot 163^{7} \) |
$D_{15}$ (as 15T2) |
Trivial
|
| 15.1.286080897604686708736.1 |
x15 - 7x14 + 32x13 - 108x12 + 272x11 - 536x10 + 852x9 - 1060x8 + 941x7 - 431x6 - 276x5 + 844x4 - 926x3 + 606x2 - 232x + 44 |
\( -\,2^{22}\cdot 17^{6}\cdot 41^{4} \) |
15T61 |
Trivial
|
| 15.1.363171920254948343808.1 |
x15 - 2x12 + 2x9 + 4x6 + x3 - 2 |
\( -\,2^{20}\cdot 3^{15}\cdot 17^{6} \) |
15T76 |
Trivial
|
| 15.1.363171920254948343808.2 |
x15 - 6x12 + 14x9 - 14x6 + 3x3 + 4 |
\( -\,2^{20}\cdot 3^{15}\cdot 17^{6} \) |
15T76 |
Trivial
|
| 15.1.364556133550265927663.1 |
x15 + 2x - 1 |
\( -\,999381407\cdot 364781785009 \) |
15T104 |
Trivial
(GRH)
|
| 15.1.382861442516161225275.1 |
x15 - 7x12 + 33x9 - 35x6 + 12x3 - 5 |
\( -\,3^{17}\cdot 5^{2}\cdot 17^{9} \) |
15T64 |
Trivial
|
