One starts from the polynomial
      
      and extends one by one with
      
      until the final polynomial defining this rule is reached.
      Note: Polynomials might be truncated due to size!
      The complete polynomials are included in the download.
    
| Node (ball center) | Error (ball radius) | 
|---|---|
| 336.03787060306299887 + 3.5475166223252814234e-5569j | 7.46e-2014, 7.46e-2014j | 
| 265.92756176485045657 + 2.5740820681243358643e-5576j | 3.33e-2006, 3.33e-2006j | 
| 229.03254506194635367 + 6.4484473503691133652e-5635j | 8.12e-2003, 8.12e-2003j | 
| 288.63899831602172976 - 2.3279930583725497387e-5727j | 1.48e-2008, 1.48e-2008j | 
| 246.39619682924166681 - 7.2340349494254577841e-5838j | 2.53e-2004, 2.53e-2004j | 
| 63.428869882001862115 - 1.2595858591123666032e-5932j | 1.3e-2000, 1.3e-2000j | 
| 28.327955661044088627 - 3.9425525517294647712e-5989j | 1.75e-2008, 1.75e-2008j | 
| 198.86298848053092821 - 4.9107803669489599094e-6015j | 1.57e-2000, 1.57e-2000j | 
| 18.503938544585238672 - 5.9355077806934918492e-6091j | 7.55e-2013, 7.55e-2013j | 
| 317.04731619809617689 - 2.4011490987888493354e-6091j | 1.17e-2011, 1.17e-2011j | 
| 17.082926438466781606 - 3.1485760167054825226e-6141j | 1.25e-2013, 1.25e-2013j | 
| 32.110079974324808227 - 1.4525480190524391883e-6131j | 3.34e-2007, 3.34e-2007j | 
| 19.986042775266870197 + 2.2028652328638202409e-6142j | 4.13e-2012, 4.13e-2012j | 
| 205.93395693627174526 - 1.048634353312389236e-6165j | 5e-2001, 5e-2001j | 
| 34.099295655738454494 - 2.0449910403387100185e-6229j | 1.43e-2006, 1.43e-2006j | 
| 276.78811705633413258 + 6.4968204187556987234e-6232j | 2.77e-2007, 2.77e-2007j | 
| 179.17932229258601598 - 6.9379152057844653872e-6268j | 2.7e-1999, 2.7e-1999j | 
| 36.154983060044791505 + 3.3826914183051459897e-6287j | 5.58e-2006, 5.58e-2006j | 
| 14.423768962272532651 - 1.192899482711963878e-6296j | 3.47e-2015, 3.47e-2015j | 
| 121.34618539946589083 + 4.4412373221645695394e-6278j | 1.55e-1997, 1.55e-1997j | 
| 57.801030281620937631 - 5.4962746594991162781e-6291j | 2.04e-2001, 2.04e-2001j | 
| 9.9823411967785545172 + 1.5527422197280853592e-6307j | 5.99e-2018, 5.99e-2018j | 
| 38.27797440864140546 + 1.1637265307365864304e-6294j | 2.22e-2005, 2.22e-2005j | 
| 301.83277679728130298 + 2.3947353961859955013e-6297j | 5.92e-2010, 5.92e-2010j | 
| 116.94830706614764372 - 1.4885648883332630968e-6285j | 1.65e-1997, 1.65e-1997j | 
| 237.48373623749703763 - 2.2952708983121219103e-6306j | 1.6e-2003, 1.6e-2003j | 
| 7.749415237644905907 + 1.5692106918296565294e-6357j | 1.25e-2020, 1.25e-2020j | 
| 135.29916237460606231 - 8.842542444810548484e-6332j | 1.16e-1997, 1.16e-1997j | 
| 173.06710163092166853 - 3.5195189856616500858e-6357j | 5.61e-1999, 5.61e-1999j | 
| 125.86737109344475764 + 5.4153391494347564068e-6365j | 1.56e-1997, 1.56e-1997j | 
| 49.934969768421297736 + 6.9158356612971489148e-6376j | 8.86e-2003, 8.86e-2003j | 
| 52.482005697899813991 + 5.3017715038731496567e-6376j | 2.8e-2002, 2.8e-2002j | 
| 40.469148022455823583 + 2.388761539482274836e-6378j | 7.82e-2005, 7.82e-2005j | 
| 6.0396730684139101488 - 3.3522785397750498703e-6397j | 6.11e-2023, 6.11e-2023j | 
| 96.666179642000192445 - 3.4408215539351720286e-6371j | 5.24e-1998, 5.24e-1998j | 
| 24.802822164343502532 + 5.7172925999065395236e-6383j | 7e-2010, 7e-2010j | 
| 145.2873219057681331 + 8.4782599556706081151e-6370j | 7.19e-1998, 7.19e-1998j | 
| 5.2609413834875206564 + 7.9730156904841485628e-6405j | 4.52e-2024, 4.52e-2024j | 
| 30.186548198292076417 + 2.245180719489878589e-6388j | 8.49e-2008, 8.49e-2008j | 
| 85.741241412494583627 - 3.8755761029028585161e-6378j | 1.49e-1998, 1.49e-1998j | 
| 78.930168763233533478 - 6.9101747998487575473e-6379j | 5.38e-1999, 5.38e-1999j | 
| 89.28599307121068392 - 3.6841125222138165419e-6378j | 2.49e-1998, 2.49e-1998j | 
| 9.3950709123011331292 + 4.1951600835632787189e-6399j | 2.05e-2018, 2.05e-2018j | 
| 1.7457611011583465757 + 2.9698857775654941133e-6412j | 4.48e-2031, 4.48e-2031j | 
| 112.66935000122994981 + 1.0104439715352328336e-6377j | 1.38e-1997, 1.38e-1997j | 
| 130.51663124893627602 + 7.1478605706115487528e-6377j | 1.45e-1997, 1.45e-1997j | 
| 60.57564491091542683 + 1.2355002351878683357e-6387j | 5.36e-2001, 5.36e-2001j | 
| 255.84410050094868187 + 2.3940145664746552727e-6383j | 3.46e-2005, 3.46e-2005j | 
| 6.8710530824429825087 + 2.4662788319376225469e-6429j | 9.33e-2022, 9.33e-2022j | 
| 26.533600172123408158 - 9.1403624710312805868e-6417j | 3.43e-2009, 3.43e-2009j | 
| 1.0199626538076018731 - 5.2058854738820708953e-6441j | 1.65e-2033, 1.65e-2033j | 
| 21.529584025940217327 - 2.8605272534920385289e-6420j | 2.35e-2011, 2.35e-2011j | 
| 8.6481829033898834034 + 2.4017201820603847392e-6427j | 2.07e-2019, 2.07e-2019j | 
| 2.1925472443148956552 + 2.2219335093702592519e-6438j | 5.76e-2030, 5.76e-2030j | 
| 2.6951858430599917531 - 1.8998581362688537268e-6436j | 1.05e-2028, 1.05e-2028j | 
| 140.22064721619784628 + 3.9951627324084310948e-6404j | 9.53e-1998, 9.53e-1998j | 
| 3.2535115331139433991 - 3.323866317401316824e-6485j | 1.51e-2027, 1.51e-2027j | 
| 213.29825190763895061 + 3.2429030004080618347e-6454j | 1.43e-2001, 1.43e-2001j | 
| 155.88444746366470719 - 2.2921538419008252696e-6507j | 3.27e-1998, 3.27e-1998j | 
| 0.5088645106440662812 + 7.1529467396130380559e-6575j | 8.05e-2036, 8.05e-2036j | 
| 15.722824712707725687 + 6.443745546370202432e-6552j | 2.34e-2014, 2.34e-2014j | 
| 4.5366202969211279833 + 2.6595968136838222825e-6563j | 3.4e-2025, 3.4e-2025j | 
| 75.659400426985632164 - 3.226789350224516721e-6535j | 2.65e-1999, 2.65e-1999j | 
| 10.92015145881927093 + 1.254172561266651644e-6585j | 2.2e-2017, 2.2e-2017j | 
| 1.3549647600243231115 - 4.3156880997430746637e-6600j | 2.69e-2032, 2.69e-2032j | 
| 12.014555283850939681 + 3.4411651071043478175e-6585j | 9.84e-2017, 9.84e-2017j | 
| 108.50526766011172008 - 4.5495494404605846225e-6564j | 1.26e-1997, 1.26e-1997j | 
| 150.50605584772148419 + 1.4552441600469693119e-6631j | 5e-1998, 5e-1998j | 
| 47.461282800860886015 + 1.8379509759540387614e-6669j | 2.9e-2003, 2.9e-2003j | 
| 220.98569317008079173 - 2.2675352965149099421e-6689j | 3.74e-2002, 3.74e-2002j | 
| 45.059798541815368027 + 5.2009086704942216918e-6720j | 9.37e-2004, 9.37e-2004j | 
| 69.377271572582144264 - 5.4986150696734675132e-6714j | 6.73e-2000, 6.73e-2000j | 
| 66.362213298399443772 - 2.1276124847822554347e-6725j | 2.96e-2000, 2.96e-2000j | 
| 104.45231733551187669 - 3.2481492510125571459e-6760j | 9.26e-1998, 9.26e-1998j | 
| 55.103600192316837402 + 4.5949024150957823762e-6818j | 7.36e-2002, 7.36e-2002j | 
| 3.8673787838619507033 - 4.0332410243152754089e-6894j | 2.45e-2026, 2.45e-2026j | 
| 100.5070292444873206 + 1.1999646205063412612e-6903j | 7.6e-1998, 7.6e-1998j | 
| 0.3225476896193923118 + 8.5203574935016232082e-7055j | 3.92e-2037, 3.92e-2037j | 
| 161.43093987355154353 - 2.8774734296435137564e-7030j | 1.87e-1998, 1.87e-1998j | 
| 92.926767333375966855 + 4.3441216670132021853e-7133j | 3.66e-1998, 3.66e-1998j | 
| 42.729430385976186387 - 4.6643551885170960841e-7226j | 2.85e-2004, 2.85e-2004j | 
| 0.73930219261558786882 - 1.1204785825172881003e-7306j | 1.24e-2034, 1.24e-2034j | 
| 185.50523405688280472 - 1.5070924105929151385e-7344j | 1.13e-1999, 1.13e-1999j | 
| 167.15496190253798536 - 6.5915521823219861767e-7439j | 1.1e-1998, 1.1e-1998j | 
| 72.47573606391218525 + 1.7054874242628533343e-7468j | 1.31e-1999, 1.31e-1999j | 
| 82.290064684099213695 + 1.6009347574257339267e-7495j | 8.79e-1999, 8.79e-1999j | 
| 0.17681688674716855573 - 2.6373812926700112222e-7580j | 1.61e-2038, 1.61e-2038j | 
| 13.186641001537259402 + 1.641729498593594801e-7552j | 6e-2016, 6e-2016j | 
| 23.135006107433651353 - 3.7976657941666010911e-7542j | 1.26e-2010, 1.26e-2010j | 
| 192.06044070959190996 - 5.6567894345612430104e-7540j | 4.5e-2000, 4.5e-2000j | 
| 0.013947945717398359521 + 6.0427098677260038207e-7616j | 1.15e-2041, 1.15e-2041j | 
| 0.07293211388745194802 - 7.7111386635547654191e-7614j | 5.28e-2040, 5.28e-2040j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.5673847979501554361e-145 - 7.5455747522671399672e-5708j | 9.87e-369, 1.41e-1872j | 
| 3.3727720782100968317e-115 - 4.3911146262076132906e-5691j | 9.09e-360, 1.29e-1863j | 
| 2.8079667825412195181e-99 - 2.7028692143492034995e-5684j | 1.37e-354, 1.95e-1858j | 
| 5.50442122731135044e-125 + 4.305617397968029629e-5697j | 1.79e-363, 2.55e-1867j | 
| 8.9881956951995054128e-107 - 8.1607709306830225961e-5688j | 2.43e-357, 3.46e-1861j | 
| 8.2137996941463274602e-28 - 2.0676820036962257212e-5648j | 3.1e-310, 4.41e-1814j | 
| 9.0972825030834476693e-13 + 2.5294506449475135091e-5640j | 6.68e-281, 9.52e-1785j | 
| 2.9910241876944476312e-86 - 6.0391904427601240315e-5678j | 6.77e-351, 9.64e-1855j | 
| 1.3355556927180931506e-08 + 7.661980109812377466e-5638j | 9.35e-267, 1.33e-1770j | 
| 3.380341722025548805e-137 + 1.2980691104575012174e-5703j | 3.55e-368, 5.05e-1872j | 
| 5.2986412335614299929e-08 - 1.8779595686486019871e-5637j | 2.27e-264, 3.24e-1768j | 
| 2.2191820595154248711e-14 + 3.1357035124334428318e-5641j | 3.62e-287, 5.15e-1791j | 
| 3.1618458554687231938e-09 - 3.0945979379693444463e-5638j | 5.3e-270, 7.56e-1774j | 
| 2.6432706638099822595e-89 + 1.9010604346618697151e-5679j | 3.26e-352, 4.64e-1856j | 
| 3.1384354767801498775e-15 - 1.0601745104081936571e-5641j | 3.77e-290, 5.37e-1794j | 
| 7.0142469664846264956e-120 - 3.4278943010420544127e-5694j | 2.13e-362, 3.03e-1866j | 
| 9.4834226671672961316e-78 + 9.7759261666355148551e-5674j | 7.81e-349, 1.11e-1852j | 
| 4.1502067774169964005e-16 + 3.4843573197525488097e-5642j | 8.62e-294, 1.23e-1797j | 
| 6.9035597694437371593e-07 - 1.1276031385321689683e-5636j | 1.74e-265, 2.47e-1769j | 
| 8.8968531670639248174e-53 - 3.3146811353719686563e-5661j | 1.29e-337, 1.84e-1841j | 
| 2.1598046158485751418e-25 - 3.8173808227188797734e-5647j | 3.42e-312, 4.88e-1816j | 
| 3.5580308151724426112e-05 - 7.4048904583004438888e-5635j | 4.62e-258, 6.58e-1762j | 
| 5.1277095903732495712e-17 - 1.1122284067815107753e-5642j | 6.29e-297, 8.96e-1801j | 
| 1.1567576820513302829e-130 - 3.6864190296117885601e-5700j | 2.34e-367, 3.33e-1871j | 
| 7.0348803199675559663e-51 + 3.0333206098726455529e-5660j | 9e-337, 1.28e-1840j | 
| 6.3124637725645616075e-103 + 4.9706578765408874174e-5686j | 5.28e-358, 7.51e-1862j | 
| 0.00038664143324647270826 + 9.5288945364763042242e-5635j | 1.32e-257, 1.88e-1761j | 
| 8.4363227606155442241e-59 + 3.00724133273911255e-5664j | 3.06e-342, 4.35e-1846j | 
| 4.1380097962152600331e-75 - 2.0137118861449222659e-5672j | 1.52e-349, 2.16e-1853j | 
| 9.9489500986877876299e-55 + 3.4144125307689188312e-5662j | 1.64e-339, 2.34e-1843j | 
| 5.1667861856502946982e-22 + 2.3141839976687284424e-5645j | 1.38e-312, 1.96e-1816j | 
| 4.1654814947726477678e-23 - 6.0996553179702091276e-5646j | 4.34e-314, 6.18e-1818j | 
| 5.9144379118676399646e-18 + 3.4453663529968044611e-5643j | 5.38e-306, 7.66e-1810j | 
| 0.0019190018000143656443 + 1.2617648779303454237e-5634j | 6.21e-262, 8.84e-1766j | 
| 3.9537617314798205348e-42 - 8.5865516218808078614e-5656j | 8.32e-335, 1.19e-1838j | 
| 2.8741885088863292281e-11 + 1.8451704421911561109e-5639j | 5.03e-295, 7.17e-1799j | 
| 4.107786165531758213e-63 + 2.031066817219487769e-5666j | 1.63e-346, 2.32e-1850j | 
| 0.0039015882570091050686 - 1.5848092129086816008e-5634j | 7.49e-263, 1.07e-1766j | 
| 1.4683405928034793906e-13 - 9.0240637543328354519e-5641j | 3.49e-299, 4.98e-1803j | 
| 2.0268347184459512647e-37 + 2.2178856051951680148e-5653j | 6.64e-332, 9.46e-1836j | 
| 1.7439930155703175244e-34 + 7.1769728835180684939e-5652j | 5.75e-330, 8.19e-1834j | 
| 6.0112323894039933965e-39 - 3.6479083530106807005e-5654j | 3.95e-333, 5.62e-1837j | 
| 4.6528385500623063215e-05 + 1.1486941786101385158e-5634j | 5.32e-281, 7.58e-1785j | 
| 0.073086325655478167528 - 6.7699564183589777694e-5634j | 6.28e-251, 8.94e-1755j | 
| 4.9399797247305864793e-49 - 2.6220546714928951859e-5659j | 7.85e-340, 1.12e-1843j | 
| 9.7910242927816522686e-57 - 3.3080629104917852623e-5663j | 6.04e-344, 8.6e-1848j | 
| 1.3854973077577982952e-26 + 9.0498632003295649502e-5648j | 1.71e-323, 2.44e-1827j | 
| 7.5362499983798898928e-111 + 1.3659049154751127003e-5689j | 1.69e-368, 2.4e-1872j | 
| 0.00088848196615535004363 - 1.047891035213764925e-5634j | 7.36e-281, 1.05e-1784j | 
| 5.2810859041936630482e-12 - 6.9137016481882035971e-5640j | 4.06e-304, 5.78e-1808j | 
| 0.11085449717326204115 - 9.6193860569596385952e-5634j | 8.42e-255, 1.2e-1758j | 
| 7.0296854080093809271e-10 + 1.2317591020296336656e-5638j | 7.94e-301, 1.13e-1804j | 
| 0.00015422443500047445855 - 1.0487531221136471618e-5634j | 1.63e-285, 2.32e-1789j | 
| 0.052996364906916995787 + 5.4327716629823836772e-5634j | 3.98e-267, 5.67e-1771j | 
| 0.035825089898525868276 - 4.2942034857140980803e-5634j | 1.63e-270, 2.32e-1774j | 
| 6.328596522690417225e-61 - 2.5583721331721155724e-5665j | 2.76e-347, 3.93e-1851j | 
| 0.02264668356458711771 + 3.3596169342776851729e-5634j | 2.77e-275, 3.95e-1779j | 
| 1.7457754126195562695e-92 - 5.2742450628419801443e-5681j | 6.66e-363, 9.49e-1867j | 
| 1.0902183256005539391e-67 + 1.0271161974361109175e-5668j | 1.81e-352, 2.57e-1856j | 
| 0.12468036742337174524 - 1.0048207317954760048e-5633j | 6.45e-267, 9.18e-1771j | 
| 1.974233302740463824e-07 + 4.5865119254427479908e-5637j | 2.53e-300, 3.61e-1804j | 
| 0.0074629376069588090217 + 2.0283514938007629824e-5634j | 4.69e-284, 6.67e-1788j | 
| 4.4701692354078866355e-33 - 3.8284416440603048391e-5651j | 2.56e-333, 3.65e-1837j | 
| 1.8869308040836345447e-05 + 2.2666365320042721535e-5635j | 1.15e-295, 1.63e-1799j | 
| 0.093588376508516049945 + 8.2381488509174035162e-5634j | 1.41e-275, 2e-1779j | 
| 6.8854655462058069942e-06 - 7.5601282809061396462e-5636j | 1.85e-297, 2.64e-1801j | 
| 3.0930189348140128197e-47 + 2.1450835824809969162e-5658j | 6.85e-342, 9.76e-1846j | 
| 2.2913915126087311757e-65 - 1.5000347672441859607e-5667j | 4.59e-351, 6.54e-1855j | 
| 5.9532417884530113224e-21 - 8.4881341540371804082e-5645j | 1.53e-323, 2.19e-1827j | 
| 8.3672230163890913471e-96 + 1.2800952291724824366e-5682j | 1.96e-365, 2.79e-1869j | 
| 6.3789172561135935615e-20 + 3.0121282556805934652e-5644j | 8.72e-323, 1.24e-1826j | 
| 2.2649264194547823125e-30 - 9.6293265804740194741e-5650j | 4.89e-333, 6.96e-1837j | 
| 4.4935261726037036259e-29 + 4.549119323896900372e-5649j | 8.58e-332, 1.22e-1835j | 
| 1.7331606519170374803e-45 - 1.6637974122079324496e-5657j | 8.36e-343, 1.19e-1846j | 
| 3.115851811877263945e-24 + 1.5531232080066652509e-5646j | 1.01e-328, 1.44e-1832j | 
| 0.013417603774727705362 - 2.6121360131081246074e-5634j | 8.56e-303, 1.22e-1806j | 
| 8.7213978693012692813e-44 + 1.2255563584505762944e-5656j | 3.77e-342, 5.38e-1846j | 
| 0.12014489138614399231 + 8.2392859082836136669e-5634j | 8.85e-301, 1.26e-1804j | 
| 4.3875216190098482349e-70 - 6.4962077021389285754e-5670j | 3.02e-357, 4.3e-1861j | 
| 1.6195785986432093902e-40 + 5.7304745324252348571e-5655j | 4.58e-341, 6.53e-1845j | 
| 6.362924510678222514e-19 - 1.0349176145547377299e-5643j | 3.14e-327, 4.48e-1831j | 
| 0.12155691688487423585 + 1.0434042555563890023e-5633j | 3.59e-307, 5.11e-1811j | 
| 1.7572602225261744595e-80 - 4.3005185244800979615e-5675j | 2.68e-363, 3.82e-1867j | 
| 1.4796618384933993667e-72 + 3.7795563051033459395e-5671j | 5.56e-359, 7.92e-1863j | 
| 1.0500791420266659777e-31 + 1.9592836367971967207e-5650j | 8.58e-338, 1.22e-1841j | 
| 6.223250671754977724e-36 - 1.2894513349322597567e-5652j | 3.72e-340, 5.29e-1844j | 
| 0.1049949590390408629 - 5.5700422094229428188e-5634j | 2.36e-318, 3.36e-1822j | 
| 2.2608499361589190774e-06 + 2.8391571939697923508e-5636j | 1.16e-322, 1.65e-1826j | 
| 1.467297307928805858e-10 - 4.8160768218232090922e-5639j | 4.5e-326, 6.41e-1830j | 
| 2.5924074979416432239e-83 + 1.7038563339361186847e-5676j | 6.21e-365, 8.85e-1869j | 
| 0.035236441825907956789 - 8.3015589244300169407e-5635j | 5.23e-322, 7.45e-1826j | 
| 0.076147523975161190892 + 2.8990322783858231222e-5634j | 1.69e-321, 2.41e-1825j | 
All rules of Laguerre type can be downloaded here packed into a single file.