| 19.1.1939073247585017051548555.1 |
x19 - x - 1 |
\( -\,5\cdot 659\cdot 588489604729898953429 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.2017766063735610126699403.1 |
x19 + x - 1 |
\( -\,149\cdot 2063\cdot 6564253087266573169 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.3.146525077331272123613812972.1 |
x19 - 2x18 + 7x16 - 10x15 - x14 + 19x13 - 19x12 - 9x11 + 33x10 - 19x9 - 20x8 + 32x7 - 9x6 - 17x5 + 17x4 - 3x3 - 5x2 + 4x - 1 |
\( 2^{2}\cdot 139\cdot 126311\cdot 1021043\cdot 2043393285469 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.3.7878347336355332175700013824.1 |
x19 - 2x18 + 7x16 - 10x15 - x14 + 19x13 - 19x12 - 9x11 + 33x10 - 19x9 - 20x8 + 33x7 - 9x6 - 18x5 + 17x4 - 3x3 - 5x2 + 4x - 1 |
\( 2^{8}\cdot 317\cdot 25373\cdot 137363\cdot 27854432176313 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.20630828016636731405933022091.1 |
x19 + 2x - 1 |
\( -\,7\cdot 233\cdot 12649189464522827348824661 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.22395541656295175507680165888.1 |
x19 + 4x - 4 |
\( -\,2^{18}\cdot 1699471\cdot 109607929\cdot 458633653 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.7.105491601716452677126377141804.1 |
x19 - 3x18 - x17 + 15x16 - 22x15 - 6x14 + 59x13 - 70x12 - 6x11 + 106x10 - 107x9 + 92x7 - 73x6 - x5 + 35x4 - 19x3 - x2 + 4x - 1 |
\( 2^{2}\cdot 131\cdot 149\cdot 397\cdot 20117\cdot 218819\cdot 773146117559 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.197294383575054168405587977516.1 |
x19 - 3x18 + 2x17 + 4x16 - 8x15 + 14x13 - 9x12 - 16x11 + 21x10 + 8x9 - 25x8 + 2x7 + 16x6 - 4x5 - 8x4 + 2x3 + 3x2 - x - 1 |
\( -\,2^{2}\cdot 49323595893763542101396994379 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.239740209347874920937820362368.1 |
x19 - 3x18 + 2x17 + 4x16 - 8x15 + 14x13 - 9x12 - 16x11 + 21x10 + 8x9 - 25x8 + 2x7 + 17x6 - 4x5 - 9x4 + 2x3 + 3x2 - x - 1 |
\( -\,2^{7}\cdot 7\cdot 60259\cdot 4440286064038502416537 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.436115443825492961137940758528.1 |
x19 - 8x - 8 |
\( -\,2^{18}\cdot 17\cdot 8627\cdot 11343650175290580793 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.477373143019455103322628554752.1 |
x19 - 4x - 4 |
\( -\,2^{18}\cdot 593\cdot 10949399\cdot 280461391706269 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.498001992616436174414972452864.1 |
x19 - 2x - 2 |
\( -\,2^{18}\cdot 11\cdot 29\cdot 8255287577\cdot 721386928637 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.518630802867009170210778775552.1 |
x19 - x - 2 |
\( -\,2^{19}\cdot 821\cdot 883013\cdot 15385297\cdot 88689509 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.518630842213267150872019351855.1 |
x19 - x - 4 |
\( -\,5\cdot 103726168442653430174403870371 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.539259691810398316599660249088.1 |
x19 + 2x - 2 |
\( -\,2^{18}\cdot 7\cdot 47\cdot 1031\cdot 108139\cdot 56081694178207 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.601146240601341529876691943424.1 |
x19 + 8x - 8 |
\( -\,2^{18}\cdot 46553428447\cdot 49259334849493 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.9.1598194952468587114325789491156.1 |
x19 - 3x18 - 8x17 + 30x16 + 16x15 - 115x14 + 31x13 + 208x12 - 175x11 - 165x10 + 280x9 + 5x8 - 206x7 + 82x6 + 75x5 - 54x4 - 13x3 + 13x2 + x - 1 |
\( -\,2^{2}\cdot 937\cdot 971\cdot 4676220259\cdot 93910895860973 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.2074522739311139777284664197120.1 |
x19 - 4x - 8 |
\( -\,2^{20}\cdot 5\cdot 928238261\cdot 426273972622159 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.7.8322004363062341150231840635904.1 |
x19 - 3x18 - x17 + 15x16 - 22x15 - 6x14 + 59x13 - 70x12 - 6x11 + 106x10 - 107x9 - x8 + 92x7 - 72x6 - x5 + 35x4 - 19x3 - x2 + 4x - 1 |
\( 2^{10}\cdot 2746819\cdot 2958679616604904629509 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.5.8969938904536782790298366089328.1 |
x19 - 2x18 - 3x17 + 9x16 + x15 - 16x14 + 5x13 + 17x12 - 10x11 - 12x10 + 10x9 + x8 + 3x6 - 9x5 + 2x4 + 6x3 - 5x2 - x + 1 |
\( -\,2^{4}\cdot 3947\cdot 1431584761\cdot 99216821342546749 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.5.23920741637672928000872108534200.1 |
x19 - x18 - 6x17 + 7x16 + 13x15 - 21x14 - 16x13 + 41x12 + 10x11 - 51x10 + 5x9 + 43x8 - 19x7 - 24x6 + 18x5 + 5x4 - 11x3 + 2x2 + 3x - 1 |
\( -\,2^{3}\cdot 5^{2}\cdot 430709\cdot 19005923\cdot 14610723851226353 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.33192383974339170988381865771008.1 |
x19 + 4x - 8 |
\( -\,2^{24}\cdot 311\cdot 13913\cdot 49356007\cdot 9263974663 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.3.45730811992355144562119332263029.1 |
x19 - 3x - 1 |
\( 15451\cdot 1192721\cdot 1892107519\cdot 1311498030721 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.45730815949194455882746510510987.1 |
x19 + 3x - 1 |
\( -\,577\cdot 70079\cdot 1130954781811714100492789 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.46249444812988217467940237737984.1 |
x19 + 3x - 2 |
\( -\,2^{19}\cdot 613\cdot 7331\cdot 3070062337\cdot 6393898213 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.629287868530805907924458261644707.1 |
x19 - 9x - 9 |
\( -\,3^{18}\cdot 125471\cdot 142573\cdot 90800058249161 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.720749496472355508369324104418723.1 |
x19 - 3x - 3 |
\( -\,3^{18}\cdot 30011\cdot 461269\cdot 134390022739373 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.766459681593533327520664681907619.1 |
x19 - 2x - 3 |
\( -\,3^{18}\cdot 109\cdot 2111\cdot 2503\cdot 3435034858449743 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.766480310403783900516460488230307.1 |
x19 - x - 3 |
\( -\,3^{18}\cdot 733\cdot 5827\cdot 8053\cdot 2874523\cdot 20009947 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.766480310482476716667053563381155.1 |
x19 + x - 3 |
\( -\,3^{18}\cdot 5\cdot 11\cdot 277\cdot 1202769413\cdot 107967633989 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.13.801631882964189735135508990628664.1 |
x19 - 2x18 - 18x17 + 32x16 + 132x15 - 202x14 - 502x13 + 645x12 + 1045x11 - 1122x10 - 1176x9 + 1078x8 + 700x7 - 557x6 - 220x5 + 151x4 + 34x3 - 20x2 - 2x + 1 |
\( -\,2^{3}\cdot 13^{2}\cdot 17\cdot 3229\cdot 34365587\cdot 85132367\cdot 3692009831 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.812211124413905108814189947192739.1 |
x19 + 3x - 3 |
\( -\,3^{18}\cdot 581393\cdot 3605923841336588507 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.903672752355454709259055789966755.1 |
x19 + 9x - 9 |
\( -\,3^{18}\cdot 5\cdot 7\cdot 11\cdot 17\cdot 293990087\cdot 1212233453773 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.9.1388142379667992699741943954318476.1 |
x19 - 2x18 - 14x17 + 23x16 + 83x15 - 104x14 - 274x13 + 234x12 + 555x11 - 274x10 - 708x9 + 162x8 + 554x7 - 50x6 - 246x5 + 17x4 + 56x3 - 7x2 - 5x + 1 |
\( -\,2^{2}\cdot 347035594916998174935485988579619 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.1711431646479514505060267844358279.1 |
x19 + 7x - 4 |
\( -\,1711431646479514505060267844358279 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.13.6102326046691495371062145790782484.1 |
x19 - 3x18 - 12x17 + 40x16 + 52x15 - 216x14 - 88x13 + 614x12 + 8x11 - 987x10 + 143x9 + 904x8 - 163x7 - 461x6 + 72x5 + 128x4 - 14x3 - 18x2 + x + 1 |
\( -\,2^{2}\cdot 90313\cdot 16881409121807\cdot 1000636759045331 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.3.7925989089291768608053967330433893.1 |
x19 - 6x - 1 |
\( 1811\cdot 26072749799\cdot 167860372602034140737 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.3.10814939666659798383617290336993280.1 |
x19 - 4x - 2 |
\( 2^{18}\cdot 5\cdot 61\cdot 121171\cdot 1116312139673805569479 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.3.10815458295523592145202484064220277.1 |
x19 - 4x - 1 |
\( 277\cdot 1033\cdot 13915748550233\cdot 2716178228054209 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.10815458299480431456523111242468235.1 |
x19 + 4x - 1 |
\( -\,5\cdot 2163091659896086291304622248493647 \) |
$S_{19}$ (as 19T8) |
$[2]$
(GRH)
|
| 19.1.10815976928344225218108304969695232.1 |
x19 + 4x - 2 |
\( -\,2^{18}\cdot 52181\cdot 2865209\cdot 275966983127163607 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.11581938607945142109454554679149987.1 |
x19 + 4x - 3 |
\( -\,3^{18}\cdot 17\cdot 61\cdot 69297490553\cdot 416008696303 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.3.21630397964161810184480087990337536.1 |
x19 - 8x - 4 |
\( 2^{18}\cdot 11\cdot 53\cdot 421\cdot 2482463\cdot 135422601683162041 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.21631435225846237018971102623039488.1 |
x19 + 8x - 4 |
\( -\,2^{18}\cdot 479\cdot 9133\cdot 23561\cdot 800576288751422401 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.33988985718086113356299711291588608.1 |
x19 - 2x - 4 |
\( -\,2^{34}\cdot 1978419355471042995125737 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.33988996032510911846835257463537664.1 |
x19 + 2x - 4 |
\( -\,2^{34}\cdot 7\cdot 17\cdot 16844983\cdot 986963167623773 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.83471072977270970589843528558422859.1 |
x19 + 5x - 3 |
\( -\,3^{16}\cdot 107\cdot 5237\cdot 3460426020918126261181 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.135910232687223275606047504588865536.1 |
x19 - 3x - 4 |
\( -\,2^{18}\cdot 1216879\cdot 426054186983593377261211 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.135953100673219788185486703867674419.1 |
x19 - 5x - 8 |
\( -\,7\cdot 209525077\cdot 436115261531\cdot 212546414560691 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
| 19.1.135955963501194050256175302213253423.1 |
x19 - x - 8 |
\( -\,277\cdot 118006231853\cdot 4159235872587640553183 \) |
$S_{19}$ (as 19T8) |
Trivial
(GRH)
|
