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) | 
|---|---|
| 320.88673671981537588 - 9.5402629489846368627e-5683j | 2.06e-2011, 2.06e-2011j | 
| 339.95293478946418818 - 1.6317452416784870937e-5686j | 1.21e-2013, 1.21e-2013j | 
| 292.35829946907270685 - 4.1421658579244747911e-5674j | 2.86e-2008, 2.86e-2008j | 
| 305.60896921703163977 + 1.6456933120475346211e-5678j | 1.06e-2009, 1.06e-2009j | 
| 249.91852784721465537 - 1.084327371019397038e-5669j | 4.47e-2004, 4.47e-2004j | 
| 88.130570915194224461 + 3.6508458755210948859e-5689j | 4.55e-1998, 4.55e-1998j | 
| 259.41263913783692352 - 5.5159102307620019368e-5750j | 6.18e-2005, 6.18e-2005j | 
| 188.69180167663816337 - 2.8508614763167710651e-5868j | 2.61e-1999, 2.61e-1999j | 
| 31.756904858613555238 - 1.0912409139575180333e-5946j | 3e-2007, 3e-2007j | 
| 232.46626721691157433 - 2.9348667845331235622e-5979j | 1.53e-2002, 1.53e-2002j | 
| 21.305828589773360308 + 9.5165040882838937247e-6047j | 1.52e-2011, 1.52e-2011j | 
| 22.891992134382124801 - 1.0570525639548050551e-6046j | 9.05e-2011, 9.05e-2011j | 
| 44.541156046506384126 - 9.675490551427654808e-6037j | 1.12e-2003, 1.12e-2003j | 
| 209.24145561783474482 - 8.6408441010309713378e-6112j | 1.06e-2000, 1.06e-2000j | 
| 7.7907359841863499488 - 9.3613079563272922454e-6194j | 4.06e-2021, 4.06e-2021j | 
| 37.84697845401386307 + 5.587519241219015556e-6170j | 2.19e-2005, 2.19e-2005j | 
| 153.45992024945778895 + 4.5575613270761316577e-6209j | 1.29e-1997, 1.29e-1997j | 
| 5.3353972664902063418 + 2.7417086105447241362e-6295j | 4.76e-2024, 4.76e-2024j | 
| 35.750969642079762753 - 1.0251945879135202822e-6276j | 5.95e-2006, 5.95e-2006j | 
| 119.6379719057218274 + 4.7190441051703269768e-6267j | 4.53e-1997, 4.53e-1997j | 
| 51.864746788434196737 - 2.5827030095003746837e-6292j | 3.48e-2002, 3.48e-2002j | 
| 59.847385650508808616 - 9.5092354731544180395e-6291j | 7.29e-2001, 7.29e-2001j | 
| 77.935314283246158912 + 2.1501325494306846343e-6287j | 8.59e-1999, 8.59e-1999j | 
| 269.5439814122260277 + 1.3409199033595671498e-6287j | 6.33e-2006, 6.33e-2006j | 
| 62.66056740634666915 + 2.2057530069442450924e-6299j | 1.81e-2000, 1.81e-2000j | 
| 42.241160672291750527 + 3.9808531540316219548e-6306j | 3.11e-2004, 3.11e-2004j | 
| 240.96120799472377391 + 8.2510315261798468306e-6298j | 2.78e-2003, 2.78e-2003j | 
| 9.7208888007737595979 - 3.4910403741205411266e-6336j | 2.99e-2019, 2.99e-2019j | 
| 280.45455520370598943 - 3.630039100381866709e-6313j | 5.01e-2007, 5.01e-2007j | 
| 148.20313724555291426 - 6.4166991185733054749e-6330j | 1.83e-1997, 1.83e-1997j | 
| 124.07338028421898536 - 1.9461613458274486269e-6352j | 4.71e-1997, 4.71e-1997j | 
| 84.641666986403311181 - 4.4296877969140079481e-6369j | 2.8e-1998, 2.8e-1998j | 
| 33.72121137222668461 + 1.2012727389158550054e-6379j | 1.38e-2006, 1.38e-2006j | 
| 24.539631156963001769 + 4.1865175691438664116e-6383j | 5.26e-2010, 5.26e-2010j | 
| 95.391364245173232866 + 1.4117697601143508324e-6369j | 1.15e-1997, 1.15e-1997j | 
| 195.28686298672485174 - 7.3765024262473604905e-6408j | 9.75e-2000, 9.75e-2000j | 
| 107.02950084276848883 + 2.2170831658353497434e-6502j | 2.88e-1997, 2.88e-1997j | 
| 3.4142135623730950488 - 6.4100796326854635369e-6631j | 4.6e-2027, 4.6e-2027j | 
| 170.22404309289378516 + 3.2026760603322076095e-6627j | 2.69e-1998, 2.69e-1998j | 
| 138.13926525458472327 + 8.4558561126000996819e-6730j | 3.39e-1997, 3.39e-1997j | 
| 158.87652093976618277 + 7.9073405099347941493e-6791j | 8.3e-1998, 8.3e-1998j | 
| 133.31902861500159861 + 1.2312709368714701427e-6824j | 3.86e-1997, 3.86e-1997j | 
| 15.565742803789703318 - 4.6411571857007533982e-6863j | 9.53e-2015, 9.53e-2015j | 
| 1.5380825513927412403 - 4.2548743795893001074e-6880j | 1.06e-2031, 1.06e-2031j | 
| 81.243968875659142057 + 2.0220751599904829304e-6845j | 1.57e-1998, 1.57e-1998j | 
| 103.04671145911411098 - 3.0701994453400861073e-6852j | 2.35e-1997, 2.35e-1997j | 
| 10.773170860850807262 - 8.2945065814037011415e-6893j | 2.58e-2018, 2.58e-2018j | 
| 46.911050829751691083 - 6.581125061506659065e-6877j | 3.49e-2003, 3.49e-2003j | 
| 1.945930157560413323 - 5.8623503452751557547e-6905j | 1.89e-2030, 1.89e-2030j | 
| 11.883611642253818813 - 4.405324200589148634e-6892j | 1.96e-2017, 1.96e-2017j | 
| 65.552226025906172205 + 3.3658430779515055095e-6871j | 4.28e-2000, 4.28e-2000j | 
| 176.1750441704939777 - 9.4739066203334696566e-6892j | 1.41e-1998, 1.41e-1998j | 
| 74.713670811541156497 + 2.4996432337749266358e-6917j | 4.45e-1999, 4.45e-1999j | 
| 3.9968050299833240588 + 1.0117959787019968243e-6944j | 5.1e-2026, 5.1e-2026j | 
| 1.1736023555274905947 - 9.3076187097914731529e-6951j | 5.24e-2033, 5.24e-2033j | 
| 71.577125831284706297 + 3.8742895306185447569e-6917j | 2.3e-1999, 2.3e-1999j | 
| 40.010079736137113823 - 2.9325496363201681681e-6922j | 8.16e-2005, 8.16e-2005j | 
| 91.712984187683340642 + 5.03814378018782753e-6914j | 7.11e-1998, 7.11e-1998j | 
| 13.052359531306953735 - 2.0742784631691985682e-6951j | 1.58e-2016, 1.58e-2016j | 
| 54.450795857275710876 - 3.5473947944405034001e-6935j | 9.47e-2002, 9.47e-2002j | 
| 18.315818616528001728 + 1.8426914527567866869e-6946j | 4.16e-2013, 4.16e-2013j | 
| 182.32641285121801516 - 8.1143383589954883069e-6930j | 6.07e-1999, 6.07e-1999j | 
| 202.12969919835468831 - 2.9539528771056511982e-6975j | 3.38e-2000, 3.38e-2000j | 
| 26.249317031795068968 + 5.8235213048642678649e-7024j | 2.69e-2009, 2.69e-2009j | 
| 6.9131961169067624424 + 8.34872692634244798e-7037j | 4.31e-2022, 4.31e-2022j | 
| 4.6362752450438410477 + 8.5038193696729120374e-7040j | 4.87e-2025, 4.87e-2025j | 
| 49.351883024701913118 + 2.9283570858224032981e-7012j | 1.17e-2002, 1.17e-2002j | 
| 216.64711595807375181 + 9.4938200979025887548e-7080j | 3.05e-2001, 3.05e-2001j | 
| 115.32151208014257335 - 5.5510831219411758706e-7235j | 4.11e-1997, 4.11e-1997j | 
| 19.780604337383156395 + 1.2011959275118004794e-7325j | 2.49e-2012, 2.49e-2012j | 
| 16.911006944870484435 - 8.093318851284238391e-7335j | 6.84e-2014, 6.84e-2014j | 
| 2.882409096745408427 - 5.9860362626311150587e-7386j | 3.74e-2028, 3.74e-2028j | 
| 0.015277081190897235862 - 1.0401414719746802056e-7449j | 1.2e-2041, 1.2e-2041j | 
| 164.46140907905258195 - 9.699219356596511068e-7406j | 4.98e-1998, 4.98e-1998j | 
| 0.5857864376269049512 - 9.211175398963931092e-7555j | 1.16e-2035, 1.16e-2035j | 
| 8.7267166914114773833 + 2.0475315569389401851e-7523j | 3.41e-2020, 3.41e-2020j | 
| 6.0945451367263325483 + 1.7626016055903745028e-7533j | 4.69e-2023, 4.69e-2023j | 
| 0.85543045266447561976 + 3.2040725555179591032e-7551j | 2.62e-2034, 2.62e-2034j | 
| 143.09854937609604138 + 1.286948637360934276e-7512j | 2.57e-1997, 2.57e-1997j | 
| 57.11124730250716731 + 1.2495659047692779872e-7554j | 2.77e-2001, 2.77e-2001j | 
| 0.36616429209716399427 - 3.1424843743728445609e-7603j | 5.21e-2037, 5.21e-2037j | 
| 0.080451295753418987151 - 1.6206983806195566501e-7606j | 4.95e-2040, 4.95e-2040j | 
| 29.857292568659950961 - 4.5797652426873031413e-7575j | 6.32e-2008, 6.32e-2008j | 
| 128.6321381763029414 - 2.0246165803034656003e-7562j | 4.41e-1997, 4.41e-1997j | 
| 99.168336707973836223 - 1.7517377427175198251e-7595j | 1.78e-1997, 1.78e-1997j | 
| 2.3942599833146487187 - 1.9145507545273907614e-7644j | 2.88e-2029, 2.88e-2029j | 
| 68.523877388667058161 - 2.8958620109558454199e-7611j | 9.82e-2000, 9.82e-2000j | 
| 14.279640477898051864 + 6.8241380677513573546e-7649j | 1.26e-2015, 1.26e-2015j | 
| 111.1199403303898109 + 4.583891876670081992e-7629j | 3.54e-1997, 3.54e-1997j | 
| 224.37659359043406813 + 1.1875608706781293044e-7656j | 7.34e-2002, 7.34e-2002j | 
| 28.021656557517464333 - 3.7655785402558425971e-7683j | 1.46e-2008, 1.46e-2008j | 
| 0.19752176044301172535 - 1.0666060101041031379e-7713j | 1.73e-2038, 1.73e-2038j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 7.2994178657289587695e-139 - 9.4107743843134407787e-5780j | 1.04e-363, 3.14e-1870j | 
| 5.1391068300464219175e-147 + 7.0874736763922155336e-5784j | 2.96e-366, 8.97e-1873j | 
| 1.3407303039037084971e-126 - 1.5241119793962434601e-5773j | 6.96e-361, 2.11e-1867j | 
| 2.6613331051380544581e-132 + 1.9714842700487773744e-5776j | 2.71e-362, 8.22e-1869j | 
| 2.6674329578330973277e-108 - 2.9397366637218219364e-5764j | 1.65e-356, 4.99e-1863j | 
| 1.8784559126392475546e-38 - 3.4703171571691627711e-5727j | 6.91e-321, 2.09e-1827j | 
| 2.1352420309566415314e-112 + 2.4375276294887485531e-5766j | 9.11e-358, 2.76e-1864j | 
| 7.3045661612379887743e-82 - 9.0393674928683380671e-5751j | 1.22e-348, 3.7e-1855j | 
| 3.1197645888404262446e-14 + 2.7624438550058687997e-5716j | 5.13e-287, 1.55e-1793j | 
| 9.1079205180132129873e-101 - 1.9981093792733187657e-5760j | 7e-355, 2.12e-1861j | 
| 8.6875282706159261142e-10 + 4.9600299488409963426e-5714j | 1.64e-273, 4.96e-1780j | 
| 1.8483867684749311732e-10 - 2.2400414559845488105e-5714j | 5.49e-276, 1.66e-1782j | 
| 1.0574675343358083091e-19 + 5.4150282201364592731e-5719j | 3.37e-300, 1.02e-1806j | 
| 9.7314718973178043989e-91 + 2.5978385373004957488e-5755j | 1.95e-352, 5.89e-1859j | 
| 0.00037501305623746647516 - 5.6349923718755434637e-5711j | 1.64e-243, 4.97e-1750j | 
| 7.7897873054659575166e-17 - 1.3975603015961320826e-5717j | 1.07e-294, 3.24e-1801j | 
| 1.2032801971414966517e-66 - 6.2830676720069859406e-5743j | 1.46e-343, 4.43e-1850j | 
| 0.0035132201478499011765 + 2.3051476881983203067e-5710j | 4e-234, 1.21e-1740j | 
| 6.137579081248584225e-16 + 3.8915962814114931931e-5717j | 5.91e-293, 1.79e-1799j | 
| 4.8182562095236790879e-52 + 2.967467001223149572e-5735j | 8.96e-336, 2.71e-1842j | 
| 7.6179939302088780673e-23 - 1.6046536149172380741e-5720j | 3.05e-307, 9.23e-1814j | 
| 2.8299845985511144975e-26 + 3.6655147753043839779e-5722j | 1.21e-312, 3.66e-1819j | 
| 4.6449643306384903296e-34 + 1.1294340306638533894e-5725j | 5.59e-322, 1.69e-1828j | 
| 9.1079957221110448733e-117 - 1.4739708452976954837e-5768j | 1.26e-362, 3.8e-1869j | 
| 1.7459727073043001098e-27 - 9.8601513849406425932e-5723j | 5.17e-315, 1.57e-1821j | 
| 1.0233819208363538137e-18 - 1.6487294180872211604e-5718j | 4.75e-302, 1.44e-1808j | 
| 1.9595833450425445223e-104 + 2.7175739081082553208e-5762j | 1.03e-358, 3.13e-1865j | 
| 6.1410738610675994752e-05 - 1.9514237599677715283e-5711j | 4.61e-266, 1.4e-1772j | 
| 1.8014909817802014844e-121 + 6.0595723543638285132e-5771j | 1.94e-364, 5.87e-1871j | 
| 2.2412040947335120335e-64 + 9.4952188083365014589e-5742j | 3.11e-345, 9.41e-1852j | 
| 5.8677653133719660573e-54 - 2.8165463897585943367e-5736j | 7.05e-340, 2.14e-1846j | 
| 5.9912741021773569014e-37 + 1.1342155014636404648e-5726j | 7.9e-328, 2.39e-1834j | 
| 4.5229407096901434832e-15 - 1.0521392581613910467e-5716j | 5.12e-301, 1.55e-1807j | 
| 3.6941249271785178435e-11 + 9.8405002033246863121e-5715j | 1.68e-294, 5.09e-1801j | 
| 1.3913691377130635823e-41 + 2.4649434590083927702e-5729j | 2.34e-332, 7.07e-1839j | 
| 1.0353432383220986971e-84 + 3.1377862550979533866e-5752j | 5.75e-355, 1.74e-1861j | 
| 1.3293382758572608835e-46 - 2.7548092509982805484e-5732j | 1.02e-336, 3.08e-1843j | 
| 0.018292052800084775556 - 6.479161032623813262e-5710j | 3.67e-257, 1.11e-1763j | 
| 6.9208570531678352372e-74 + 1.1365588937658478366e-5746j | 1.74e-351, 5.27e-1858j | 
| 4.9668225911727502254e-60 + 1.7611222220926103733e-5739j | 5.56e-345, 1.68e-1851j | 
| 5.5094412650841334549e-69 + 3.8561353238415811975e-5744j | 2.43e-349, 7.36e-1856j | 
| 5.9871194437716454846e-58 - 2.1797230030799346179e-5738j | 4.94e-344, 1.5e-1850j | 
| 2.2856782652992322365e-07 + 9.1075326029998868501e-5713j | 1.52e-297, 4.59e-1804j | 
| 0.083059479781826295245 - 8.2430414602298012462e-5710j | 1.03e-252, 3.13e-1759j | 
| 1.7442301690066397073e-35 - 3.1689118707679267051e-5726j | 4.07e-331, 1.23e-1837j | 
| 6.9467433400194293138e-45 + 2.5740145250434635052e-5731j | 1.23e-337, 3.72e-1844j | 
| 2.265871444689467076e-05 + 1.1094448381878084247e-5711j | 1.57e-292, 4.75e-1799j | 
| 1.0184463048928459388e-20 - 1.7261727744087337821e-5719j | 2.76e-319, 8.35e-1826j | 
| 0.061210215875653264162 + 8.6885274385876974588e-5710j | 2.86e-264, 8.65e-1771j | 
| 7.8659503571101471821e-06 - 6.1606737338840628399e-5712j | 4.34e-295, 1.31e-1801j | 
| 9.956445722243477442e-29 + 2.5918556640970298651e-5723j | 2.18e-327, 6.61e-1834j | 
| 1.8613933854811758491e-76 - 5.3993320355455954833e-5748j | 4.17e-355, 1.26e-1861j | 
| 1.1337732182367819602e-32 - 4.3371981945059181693e-5725j | 1.53e-330, 4.64e-1837j | 
| 0.011213553479414502087 + 4.9077762380174433065e-5710j | 1.98e-283, 5.99e-1790j | 
| 0.10569062537975582952 + 7.4122817978358744866e-5710j | 1.02e-266, 3.1e-1773j | 
| 2.5412914185295775909e-31 + 1.7031536753314201954e-5724j | 6.09e-330, 1.84e-1836j | 
| 9.2397712584075707679e-18 + 4.8722455535281860962e-5718j | 1.31e-318, 3.96e-1825j | 
| 5.3636510122392947635e-40 - 3.1671326304132229804e-5728j | 7.39e-336, 2.24e-1842j | 
| 2.5696776022678273324e-06 + 3.3394683112413350396e-5712j | 2.09e-304, 6.33e-1811j | 
| 5.9037105646925923484e-24 + 4.6825324356535807712e-5721j | 3.21e-325, 9.72e-1832j | 
| 1.5933438910479818892e-08 + 2.2413479885871681537e-5713j | 3.37e-310, 1.02e-1816j | 
| 4.1014577777856678544e-79 + 2.3274497062842969657e-5749j | 6.48e-358, 1.96e-1864j | 
| 1.1471936838630135059e-87 - 9.6456460207656558498e-5754j | 2.17e-362, 6.56e-1869j | 
| 6.9317426019384279384e-12 - 4.2036708104523021374e-5715j | 2.67e-317, 8.08e-1824j | 
| 0.0008435847480422186959 + 9.2504789582363038506e-5711j | 1.86e-302, 5.64e-1809j | 
| 0.0064860007987989140512 - 3.4540017195125269778e-5710j | 3.58e-298, 1.08e-1804j | 
| 9.133054655527572015e-22 + 5.341260027867645176e-5720j | 3.73e-325, 1.13e-1831j | 
| 6.1658893886501037319e-94 - 6.0533865626742986051e-5757j | 7.7e-366, 2.33e-1872j | 
| 3.513553714778806941e-50 - 2.9933329759292669699e-5734j | 2.65e-345, 8.03e-1852j | 
| 3.8371780347038986624e-09 - 1.068684591755367822e-5713j | 2.85e-316, 8.62e-1823j | 
| 6.2220895215268533257e-08 - 4.5775422746410243087e-5713j | 5.65e-315, 1.71e-1821j | 
| 0.028500367322770276882 + 7.8140376055703566325e-5710j | 5.02e-302, 1.52e-1808j | 
| 0.038606797408113991789 + 3.7659563970333542543e-5711j | 1.7e-297, 5.15e-1804j | 
| 2.1333444688522619887e-71 - 2.1846116014186269292e-5745j | 2.26e-355, 6.84e-1862j | 
| 0.13628943398090869257 + 5.0861009886333333001e-5710j | 1.56e-300, 4.72e-1807j | 
| 0.00015653397308739201295 + 3.3541075039515203986e-5711j | 7.09e-311, 2.15e-1817j | 
| 0.0017793224749994733886 - 1.4815026594590452557e-5710j | 1.55e-308, 4.68e-1815j | 
| 0.12506949131805826056 - 6.3278134699097913868e-5710j | 4.3e-302, 1.3e-1808j | 
| 3.5869921405875595241e-62 - 1.3368831039482797758e-5740j | 2.21e-351, 6.68e-1858j | 
| 4.2457503560652297979e-25 - 1.3281348984227087292e-5721j | 3.6e-331, 1.09e-1837j | 
| 0.13469550486221659833 - 3.7715560441901604301e-5710j | 3.25e-306, 9.85e-1813j | 
| 0.084108444318484157782 - 1.296999327243525066e-5710j | 2.98e-306, 9.02e-1813j | 
| 2.0156030079829203877e-13 - 7.0450882337041859693e-5716j | 6.01e-324, 1.82e-1830j | 
| 6.3183177721586944488e-56 + 2.5453391270684055696e-5737j | 9.08e-349, 2.75e-1855j | 
| 3.2705327733719026671e-43 - 2.4355037682764515695e-5730j | 1.11e-342, 3.38e-1849j | 
| 0.04270212049688187651 - 8.5830129432201470401e-5710j | 2.45e-314, 7.41e-1821j | 
| 5.2400851621835951465e-30 - 6.6848768082780716352e-5724j | 1.49e-335, 4.53e-1842j | 
| 7.9002613484985597232e-07 - 1.766083819531779818e-5712j | 8.2e-322, 2.48e-1828j | 
| 2.2844932858962891292e-48 + 2.9108790573753001389e-5733j | 1.75e-345, 5.29e-1852j | 
| 2.8331447475988984453e-97 + 1.2021789955700058852e-5758j | 2.15e-370, 6.52e-1877j | 
| 1.2205518837300222207e-12 + 1.745659758301142114e-5715j | 9.8e-327, 2.97e-1833j | 
| 0.11731263101140259375 + 2.4736892069909070555e-5710j | 5.4e-320, 1.63e-1826j | 
All rules of Laguerre type can be downloaded here packed into a single file.