| 18.0.21655204824724013056.1 |
x18 - 4x17 + 11x16 - 16x15 + 14x14 - 2x12 - 16x11 + 56x10 - 72x9 + 56x8 - 16x7 - 2x6 + 14x4 - 16x3 + 11x2 - 4x + 1 |
\( -\,2^{26}\cdot 19^{9} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.54226471004352000000.1 |
x18 - 3x16 - 6x15 + 6x14 + 9x13 + 6x11 + 12x10 - 7x9 - 9x8 + 6x7 + 3x6 - 3x5 + 9x4 + 9x3 + 6x2 + 3x + 1 |
\( -\,2^{12}\cdot 3^{25}\cdot 5^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.56860576059859402752.1 |
x18 - 6x15 - 6x14 + 9x12 + 12x11 + 12x10 + 4x9 + 12x8 + 12x7 + 9x6 - 6x4 - 6x3 + 1 |
\( -\,2^{26}\cdot 3^{25} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.75903605885582880768.1 |
x18 - 6x17 + 18x16 - 40x15 + 96x14 - 228x13 + 447x12 - 666x11 + 786x10 - 744x9 + 546x8 - 270x7 + 59x6 + 24x4 - 32x3 + 18x2 - 6x + 1 |
\( -\,2^{12}\cdot 3^{21}\cdot 11^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.322486272000000000000.1 |
x18 - x17 + x16 - 4x15 + 12x12 - 6x11 + 17x10 - 33x9 + 11x8 - 2x7 + 10x6 - 2x5 - 6x4 + 5x2 - 3x + 1 |
\( -\,2^{26}\cdot 3^{9}\cdot 5^{12} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.408300165580224540672.1 |
x18 + 6x16 - 6x15 + 6x14 - 24x13 + 15x12 + 12x11 + 84x10 + 68x9 + 84x8 + 12x7 + 15x6 - 24x5 + 6x4 - 6x3 + 6x2 + 1 |
\( -\,2^{12}\cdot 3^{25}\cdot 7^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.647677499181836009472.1 |
x18 - 9x17 + 39x16 - 108x15 + 228x14 - 420x13 + 696x12 - 978x11 + 1143x10 - 1183x9 + 1143x8 - 978x7 + 696x6 - 420x5 + 228x4 - 108x3 + 39x2 - 9x + 1 |
\( -\,2^{20}\cdot 3^{31} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.697803444867646915407.1 |
x18 - 3x15 + 5x12 - 5x9 + 5x6 - 3x3 + 1 |
\( -\,3^{18}\cdot 23^{9} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.1034188788538505244672.1 |
x18 - 4x15 + 19x12 - 28x9 + 59x6 - 12x3 + 1 |
\( -\,2^{12}\cdot 3^{21}\cdot 17^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.1290430152944907190272.1 |
x18 - 3x17 + 9x15 - 21x13 - 11x12 + 36x11 + 54x10 + 36x9 + 36x8 + 48x7 + 40x6 + 12x5 + 12x4 + 36x3 + 48x2 + 36x + 12 |
\( -\,2^{20}\cdot 3^{21}\cdot 7^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.1528823808000000000000.1 |
x18 + 11x14 - 16x12 + 27x10 - 54x8 + 125x6 - 124x4 + 44x2 + 2 |
\( -\,2^{33}\cdot 3^{6}\cdot 5^{12} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.2315685267000000000000.1 |
x18 - 4x17 + 4x16 + 5x15 - 4x14 - 16x13 - 2x12 + 70x11 - 52x10 - 59x9 + 76x8 - 20x7 + 64x6 - 66x5 - 78x4 + 135x3 - 18x2 - 54x + 27 |
\( -\,2^{12}\cdot 3^{9}\cdot 5^{12}\cdot 7^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.3454279995636458717184.1 |
x18 - 6x16 + 9x14 - 12x13 - 24x12 + 18x11 + 153x10 + 272x9 + 234x8 + 48x7 - 63x6 + 90x4 + 78x3 + 36x2 + 12x + 2 |
\( -\,2^{24}\cdot 3^{30} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.3741766645692993122304.2 |
x18 + 7x12 - 24x9 + 15x6 + 4x3 + 1 |
\( -\,2^{12}\cdot 3^{18}\cdot 11^{9} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.6342687480463779704832.5 |
x18 - 3x17 + 17x15 - 15x14 - 33x13 + 55x12 + 78x11 - 9x10 - 95x9 - 30x8 + 108x7 + 10x6 - 75x5 + 30x4 + 12x3 - 9x2 + 1 |
\( -\,2^{12}\cdot 3^{21}\cdot 23^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.6342687480463779704832.6 |
x18 - 3x17 + 9x16 - 22x15 + 51x14 - 69x13 + 44x12 - 21x11 + 225x10 - 790x9 + 1557x8 - 2109x7 + 2267x6 - 2058x5 + 1482x4 - 760x3 + 252x2 - 48x + 4 |
\( -\,2^{12}\cdot 3^{21}\cdot 23^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.6778308875544000000000.1 |
x18 - 3x17 + 9x16 - 12x15 + 30x14 - 15x13 + 36x12 - 27x11 + 45x10 - 69x9 + 126x8 - 162x7 + 144x6 - 117x5 + 72x4 - 27x3 + 9 |
\( -\,2^{12}\cdot 3^{25}\cdot 5^{9} \) |
$S_3^2$ (as 18T11) |
$[2]$
|
| 18.0.7278153735662003552256.1 |
x18 + 3x14 + 24x12 + 3x10 - 66x8 - 27x6 + 36x4 + 36x2 + 6 |
\( -\,2^{33}\cdot 3^{25} \) |
$S_3^2$ (as 18T11) |
$[2]$
|
| 18.0.10968475320188928000000.1 |
x18 + 3x16 - 12x15 + 6x14 - 18x13 + 75x12 + 12x11 + 42x10 - 146x9 - 81x8 + 132x7 + 93x6 - 114x5 - 144x4 + 168x3 + 96x2 - 96x + 64 |
\( -\,2^{26}\cdot 3^{21}\cdot 5^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.12473196197904423235584.1 |
x18 - 2x17 - 4x16 + 12x15 - 6x14 - 8x13 + 31x12 - 52x11 + 32x10 + 8x9 - 112x8 + 216x7 - 121x6 + 62x5 + 132x4 - 312x3 + 414x2 - 416x + 169 |
\( -\,2^{12}\cdot 3^{6}\cdot 11^{15} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.16599265906765726789632.5 |
x18 - 12x15 + 87x12 - 196x9 + 159x6 + 24x3 + 1 |
\( -\,2^{12}\cdot 3^{39} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.18283008447003871936512.1 |
x18 - x17 - 3x16 + 8x15 - 4x13 + 40x12 - 74x11 - 3x10 + 299x9 - 181x8 - 158x7 + 506x6 + 166x5 + 86x4 + 36x3 + 9x2 + x + 1 |
\( -\,2^{26}\cdot 3^{9}\cdot 7^{12} \) |
$S_3^2$ (as 18T11) |
$[3]$
|
| 18.6.18840693011426466715989.1 |
x18 - 12x16 - 3x15 + 60x14 + 12x13 - 185x12 - 12x11 + 384x10 - 28x9 - 528x8 + 120x7 + 481x6 - 252x5 - 186x4 + 214x3 - 72x2 + 6x + 1 |
\( 3^{21}\cdot 23^{9} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.25485566079145767579648.1 |
x18 - 2x15 + 52x12 + 208x9 + 560x6 + 192x3 + 64 |
\( -\,2^{12}\cdot 3^{21}\cdot 29^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.29417779503000000000000.1 |
x18 - x17 - 5x16 + 10x15 - 6x14 - 9x13 + 60x12 - 121x11 + 51x10 + 69x9 - 42x8 + 22x7 - 38x6 - 25x5 + 70x4 - 27x3 + 36x2 + 18x + 9 |
\( -\,2^{12}\cdot 3^{6}\cdot 5^{12}\cdot 7^{9} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.30616027031219947941888.1 |
x18 - 2x17 + 2x16 - 2x15 - 2x14 + 8x13 + 19x12 - 38x11 + 34x10 - 36x9 - 14x8 + 2x7 + 195x6 - 216x5 - 20x4 + 134x3 + 64x2 - 234x + 169 |
\( -\,2^{12}\cdot 3^{9}\cdot 11^{14} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.6.36186392678065901161281.1 |
x18 - 4x17 - 2x16 + 22x15 - 5x14 - 20x13 - 41x12 - 37x11 + 151x10 + 67x9 - 259x8 - 55x7 + 222x6 + 34x5 - 86x4 - 5x3 + 10x2 - 2x + 1 |
\( 3^{9}\cdot 107^{9} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.38025633678223934435328.1 |
x18 - 6x16 - 12x15 + 15x14 + 12x13 + 47x12 + 12x11 + 51x10 + 8x9 + 12x8 - 96x7 + 40x6 + 24x5 - 3x4 - 16x3 + 3x2 + 1 |
\( -\,2^{12}\cdot 3^{21}\cdot 31^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.38384832176270862188544.1 |
x18 - 6x17 + 18x16 - 30x15 + 44x14 - 76x13 + 114x12 - 128x11 + 140x10 - 144x9 + 56x8 + 56x7 - 76x6 + 72x5 - 32x4 - 8x3 + 16x2 - 16x + 8 |
\( -\,2^{24}\cdot 3^{6}\cdot 11^{12} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.39531097362172608000000.2 |
x18 + 6x16 - 6x15 + 36x14 - 12x13 - 33x12 + 90x11 - 138x10 + 16x9 + 54x8 - 150x7 + 339x6 - 306x5 + 192x4 - 66x3 + 18x2 - 6x + 1 |
\( -\,2^{12}\cdot 3^{31}\cdot 5^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.41451359947637504606208.2 |
x18 - 9x17 + 33x16 - 60x15 + 60x14 - 84x13 + 222x12 - 318x11 + 153x10 + 5x9 + 153x8 - 318x7 + 222x6 - 84x5 + 60x4 - 60x3 + 33x2 - 9x + 1 |
\( -\,2^{26}\cdot 3^{31} \) |
$S_3^2$ (as 18T11) |
$[3]$
|
| 18.0.57892131675000000000000.1 |
x18 - 3x17 + 5x16 + 2x15 - 21x14 + 41x13 - 54x12 + 43x11 - 23x10 - 108x9 + 353x8 - 597x7 + 619x6 - 314x5 + 76x4 + 72x3 + 40x2 + 12x + 4 |
\( -\,2^{12}\cdot 3^{9}\cdot 5^{14}\cdot 7^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.64774404297457079943168.1 |
x18 - 2x17 + 5x16 + 2x15 - 14x13 + 7x12 - 104x11 + 114x10 - 4x9 + 267x8 - 320x7 - 39x6 - 120x5 + 316x4 - 60x3 - 12x2 - 72x + 36 |
\( -\,2^{20}\cdot 3^{9}\cdot 11^{12} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.78761606014703808000000.1 |
x18 + 6x16 - 12x15 - 30x13 + 7x12 + 186x11 - 138x10 - 184x9 + 174x8 + 6x7 - 5x6 + 6x5 - 20x3 + 6x2 + 1 |
\( -\,2^{12}\cdot 3^{21}\cdot 5^{6}\cdot 7^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.83769291871618924818432.1 |
x18 - 3x17 + 3x16 + 9x14 - 45x13 + 102x12 - 105x11 + 123x10 - 110x9 + 147x8 - 183x7 + 207x6 - 198x5 + 144x4 - 120x3 + 96x2 - 96x + 64 |
\( -\,2^{12}\cdot 3^{25}\cdot 17^{6} \) |
$S_3^2$ (as 18T11) |
$[3]$
|
| 18.0.95006081547000000000000.1 |
x18 - 9x17 + 39x16 - 102x15 + 159x14 - 93x13 - 166x12 + 435x11 - 361x10 - 134x9 + 621x8 - 657x7 + 349x6 - 48x5 - 94x4 + 76x3 - 8x2 - 8x + 4 |
\( -\,2^{12}\cdot 3^{9}\cdot 5^{12}\cdot 13^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.118039224225889612726272.2 |
x18 - 6x15 + 9x14 + 18x13 - 15x12 - 18x11 + 27x10 - 86x9 + 189x8 - 54x7 - 30x6 - 90x5 + 117x4 - 48x3 + 18x2 + 4 |
\( -\,2^{18}\cdot 3^{37} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.118039224225889612726272.3 |
x18 + 15x12 - 52x9 + 63x6 - 12x3 + 1 |
\( -\,2^{18}\cdot 3^{37} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.203521098186458046148608.1 |
x18 - 4x15 - 15x12 + 4x9 + 435x6 - 136x3 + 343 |
\( -\,2^{12}\cdot 3^{21}\cdot 41^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.261508830075000000000000.2 |
x18 - 6x17 + 18x16 - 46x15 + 84x14 - 123x13 + 263x12 - 456x11 + 552x10 - 724x9 + 999x8 - 1104x7 + 1139x6 - 1128x5 + 918x4 - 679x3 + 459x2 - 201x + 37 |
\( -\,2^{12}\cdot 3^{21}\cdot 5^{14} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.270842635128557551398912.2 |
x18 - 12x16 - 12x15 + 60x14 + 54x13 - 37x12 - 60x11 - 132x10 + 44x9 + 120x8 + 84x7 + 163x6 - 12x5 + 60x4 - 28x3 + 12x2 - 6x + 1 |
\( -\,2^{12}\cdot 3^{21}\cdot 43^{6} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.284949337728476390621184.2 |
x18 + x16 + 24x14 - 12x12 + 70x10 - 14x8 + 60x6 + 24x4 - 11x2 + 1 |
\( -\,2^{24}\cdot 3^{6}\cdot 13^{12} \) |
$S_3^2$ (as 18T11) |
$[3]$
|
| 18.0.354117672677668838178816.2 |
x18 - 6x15 + 18x12 + 22x9 + 9x6 + 12x3 + 8 |
\( -\,2^{18}\cdot 3^{38} \) |
$S_3^2$ (as 18T11) |
Trivial
|
| 18.0.373062239528737541455872.1 |
x18 - 9x17 + 39x16 - 108x15 + 222x14 - 378x13 + 610x12 - 1008x11 + 1545x10 - 1917x9 + 1695x8 - 828x7 - 26x6 + 270x5 - 36x4 - 162x3 + 63x2 + 27x + 3 |
\( -\,2^{26}\cdot 3^{33} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.480852007416803909173248.1 |
x18 - 3x17 + 5x16 - 12x15 + 12x14 + 20x13 - 24x12 + 32x11 - 29x10 + 3x9 + 19x8 - 52x7 + 24x6 + 24x5 + 38x4 + 2x3 - 5x2 + x + 1 |
\( -\,2^{20}\cdot 3^{9}\cdot 13^{12} \) |
$S_3^2$ (as 18T11) |
$[3]$
|
| 18.0.669462604992000000000000.3 |
x18 - 9x17 + 45x16 - 142x15 + 309x14 - 483x13 + 628x12 - 969x11 + 1821x10 - 2924x9 + 3465x8 - 3177x7 + 3109x6 - 4440x5 + 6450x4 - 6720x3 + 4500x2 - 1800x + 400 |
\( -\,2^{18}\cdot 3^{21}\cdot 5^{12} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.847288609443000000000000.1 |
x18 - 9x17 + 45x16 - 156x15 + 387x14 - 693x13 + 864x12 - 621x11 + 99x10 - 22x9 + 1155x8 - 3207x7 + 3789x6 - 1740x5 - 276x4 + 528x3 + 48x2 - 192x + 64 |
\( -\,2^{12}\cdot 3^{25}\cdot 5^{12} \) |
$S_3^2$ (as 18T11) |
Trivial
(GRH)
|
| 18.0.854365743544759488000000.2 |
x18 - 4x16 - 12x14 + 57x12 + 260x10 + 400x8 + 211x6 - 84x4 - 72x2 + 27 |
\( -\,2^{12}\cdot 3^{9}\cdot 5^{6}\cdot 7^{14} \) |
$S_3^2$ (as 18T11) |
$[3]$
|
| 18.0.1062353018033006514536448.1 |
x18 - 18x14 + 51x12 - 27x10 + 54x8 - 216x6 + 315x4 - 108x2 + 12 |
\( -\,2^{18}\cdot 3^{39} \) |
$S_3^2$ (as 18T11) |
$[3]$
|
| 18.0.1307544150375000000000000.2 |
x18 - 6x16 + 15x14 - 55x12 + 195x10 + 24x8 + 616x6 + 735x4 + 195x2 + 15 |
\( -\,2^{12}\cdot 3^{21}\cdot 5^{15} \) |
$S_3^2$ (as 18T11) |
$[2]$
|
