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) | 
|---|---|
| 336.05720446198034034 + 1.3290815964070738925e-6024j | 6.46e-2014, 6.46e-2014j | 
| 288.65825406826843845 + 5.3722215625082467785e-6009j | 1.56e-2008, 1.56e-2008j | 
| 221.00477760460310227 - 1.2089356258338877723e-6012j | 3.5e-2002, 3.5e-2002j | 
| 317.06662162679757187 - 7.8484655732201116681e-6044j | 1.09e-2011, 1.09e-2011j | 
| 276.80734899752887555 + 7.8236938525111248905e-6033j | 2.62e-2007, 2.62e-2007j | 
| 28.340488744021126219 + 1.8360492242761337378e-6041j | 9.97e-2009, 9.97e-2009j | 
| 237.50287170819345961 + 4.0720024528146125895e-6030j | 1.44e-2003, 1.44e-2003j | 
| 198.88199072623642907 - 6.0838952602576543515e-6054j | 1.56e-2000, 1.56e-2000j | 
| 18.509462327900950559 + 8.4657365941057175401e-6091j | 3.66e-2013, 3.66e-2013j | 
| 72.49320546507678599 - 4.4299031234944741107e-6076j | 1.12e-1999, 1.12e-1999j | 
| 34.113423176880552244 - 4.6512783610447367294e-6085j | 8.89e-2007, 8.89e-2007j | 
| 75.676977805173824025 - 2.5311363978497709184e-6075j | 2.24e-1999, 2.24e-1999j | 
| 19.993418832751574908 + 2.239560417481480369e-6105j | 2.14e-2012, 2.14e-2012j | 
| 229.05165533522243755 + 1.7419295940463527077e-6090j | 7.82e-2003, 7.82e-2003j | 
| 9.7903991282961958647 - 9.5758084589660027062e-6143j | 2.85e-2019, 2.85e-2019j | 
| 57.817825875953866973 + 5.3617117382886038412e-6119j | 1.54e-2001, 1.54e-2001j | 
| 10.860215412260564831 - 1.6643881524975673388e-6142j | 2.43e-2018, 2.43e-2018j | 
| 42.744949014240647878 - 3.4971477878590743953e-6128j | 1.97e-2004, 1.97e-2004j | 
| 52.498448635169397793 + 2.3309277905591606784e-6124j | 2.08e-2002, 2.08e-2002j | 
| 167.17380682316350934 - 5.4361627167240629775e-6121j | 1.05e-1998, 1.05e-1998j | 
| 15.72261907921621656 - 1.4552856301789383481e-6157j | 7.74e-2015, 7.74e-2015j | 
| 265.94676997357165794 + 3.5575994908941469287e-6138j | 3.04e-2006, 3.04e-2006j | 
| 55.120226799826422709 + 1.1399143947905738779e-6146j | 5.71e-2002, 5.71e-2002j | 
| 246.41535694804792867 + 5.5317660814376105983e-6142j | 2.33e-2004, 2.33e-2004j | 
| 135.31777106168808968 + 2.2267871222113935829e-6162j | 1.26e-1997, 1.26e-1997j | 
| 121.3646492167039069 + 2.2433114387532152347e-6189j | 1.65e-1997, 1.65e-1997j | 
| 23.145031809657074916 - 1.5372863256696849823e-6241j | 7.41e-2011, 7.41e-2011j | 
| 192.07941373911242412 + 1.0889616796054602649e-6228j | 4.66e-2000, 4.66e-2000j | 
| 108.52356298822769749 - 9.6193368994165614749e-6297j | 1.15e-1997, 1.15e-1997j | 
| 116.96671760673377167 + 9.0641323374671956604e-6377j | 1.46e-1997, 1.46e-1997j | 
| 69.394625257083053996 - 2.3811321595543555124e-6449j | 5.39e-2000, 5.39e-2000j | 
| 130.53519396365717666 - 6.1747153624422814684e-6508j | 1.49e-1997, 1.49e-1997j | 
| 11.987967167632220156 + 2.1251523334372513683e-6573j | 2.18e-2017, 2.18e-2017j | 
| 78.947847086314594945 - 1.3945306912358814404e-6554j | 4.03e-1999, 4.03e-1999j | 
| 301.85205680990495214 + 2.768606168936683356e-6590j | 5.35e-2010, 5.35e-2010j | 
| 8.7781822626085499829 - 1.5954917254690483831e-6657j | 3.44e-2020, 3.44e-2020j | 
| 161.44974952025410455 + 1.478937138101129715e-6638j | 1.99e-1998, 1.99e-1998j | 
| 100.52519624303204294 - 1.3653554278041218007e-6716j | 7.28e-1998, 7.28e-1998j | 
| 40.484373713298321107 - 3.883450325357781462e-6766j | 5.51e-2005, 5.51e-2005j | 
| 21.538423663800987952 + 7.7773514305511706406e-6806j | 1.33e-2011, 1.33e-2011j | 
| 213.31730977772795524 - 8.1281327397969615622e-6811j | 1.38e-2001, 1.38e-2001j | 
| 45.075581945492106937 - 1.8922948745856389959e-6861j | 6.66e-2004, 6.66e-2004j | 
| 3.9083082774205649373 + 2.8458619944105464014e-6893j | 1.05e-2025, 1.05e-2025j | 
| 6.9253874564756024849 + 1.8354718223022949154e-6889j | 4.4e-2022, 4.4e-2022j | 
| 49.951212480222891617 - 1.8589994619668064051e-6866j | 6.85e-2003, 6.85e-2003j | 
| 185.5241768290003632 - 2.8612149860017475346e-6923j | 1.08e-1999, 1.08e-1999j | 
| 155.90322034674984348 + 5.7119985835581403069e-6993j | 3.23e-1998, 3.23e-1998j | 
| 255.86328482353802955 - 1.0544757853128777697e-7050j | 3.15e-2005, 3.15e-2005j | 
| 1.3441734044819181049 + 8.7222712752748434921e-7145j | 3.69e-2032, 3.69e-2032j | 
| 4.5736171568212884364 + 2.7605130441141737688e-7138j | 7.23e-2025, 7.23e-2025j | 
| 125.8858855742890413 - 3.1698431275070341861e-7109j | 1.67e-1997, 1.67e-1997j | 
| 38.292874496503135487 + 1.5870396901334626712e-7162j | 1.39e-2005, 1.39e-2005j | 
| 96.684276876631497231 - 9.2040629114156244566e-7182j | 5.03e-1998, 5.03e-1998j | 
| 6.0843820848441949239 - 1.6462663648767508289e-7271j | 4.92e-2023, 4.92e-2023j | 
| 140.23929976885972088 + 1.0324689720661349405e-7245j | 1.02e-1997, 1.02e-1997j | 
| 150.52479037123279027 + 1.1462798585220033549e-7289j | 5.13e-1998, 5.13e-1998j | 
| 32.123745149474350566 + 7.9547264029562342855e-7324j | 2.11e-2007, 2.11e-2007j | 
| 112.68770445186638585 - 1.2261534346308169878e-7312j | 1.39e-1997, 1.39e-1997j | 
| 14.418764119200069061 + 4.1134295279408611138e-7347j | 1.15e-2015, 1.15e-2015j | 
| 82.307837546375110803 - 3.3244178778130852776e-7329j | 7.74e-1999, 7.74e-1999j | 
| 92.94479065103596216 - 4.0058760202525283848e-7351j | 3.51e-1998, 3.51e-1998j | 
| 63.445965595109025498 - 9.869564445867015331e-7388j | 1.01e-2000, 1.01e-2000j | 
| 2.192164213469460153 - 2.4924709213049751838e-7468j | 1.86e-2029, 1.86e-2029j | 
| 5.3002580076216577014 - 2.5474582839544592349e-7462j | 5.61e-2024, 5.61e-2024j | 
| 17.086028316205446555 - 9.451405174054520974e-7452j | 5.29e-2014, 5.29e-2014j | 
| 1 - 2.4307183923837518837e-7471j | 1.84e-2033, 1.84e-2033j | 
| 13.174019452239038364 + 2.4769653714846402412e-7454j | 1.64e-2016, 1.64e-2016j | 
| 145.30601635992433147 + 2.0568207743802211455e-7434j | 6.74e-1998, 6.74e-1998j | 
| 24.813828583397315827 - 1.4049322825428948596e-7489j | 3.84e-2010, 3.84e-2010j | 
| 66.379442724520578053 - 3.1452127721049080626e-7476j | 2.38e-2000, 2.38e-2000j | 
| 26.545430911787949764 - 1.599741638662346113e-7524j | 2.01e-2009, 2.01e-2009j | 
| 2.6916764436308490992 - 6.3236534043247945242e-7558j | 4.62e-2028, 4.62e-2028j | 
| 60.592596412853236109 - 3.7562933627522708948e-7531j | 4.03e-2001, 4.03e-2001j | 
| 173.08598043537969285 + 1.2769175684574692034e-7619j | 5.72e-1999, 5.72e-1999j | 
| 0.010372654600643481931 - 8.2077108745219102234e-7733j | 5.57e-2042, 5.57e-2042j | 
| 3.369839231310923141 + 1.3929908383474073167e-7717j | 3.17e-2026, 3.17e-2026j | 
| 30.199686583528804438 + 1.6763197312218346663e-7689j | 4.71e-2008, 4.71e-2008j | 
| 179.19823368459245545 + 1.4231438627083419041e-7689j | 2.73e-1999, 2.73e-1999j | 
| 36.169519366381978608 - 1.1670832195226102987e-7737j | 3.62e-2006, 3.62e-2006j | 
| 89.30393796079711 + 4.1071208089934486588e-7729j | 2.24e-1998, 2.24e-1998j | 
| 0.14650145104919154868 + 4.7805447538601491921e-7839j | 6.69e-2039, 6.69e-2039j | 
| 0.47046969832733210457 - 5.4008399796668393215e-7833j | 4.04e-2036, 4.04e-2036j | 
| 85.759102964870781245 - 9.8484897662115165139e-7807j | 1.34e-1998, 1.34e-1998j | 
| 0.056897625001077184683 + 4.5136038398377927038e-7909j | 2.22e-2040, 2.22e-2040j | 
| 104.47055026786374393 - 3.8348924135603670739e-7889j | 1.01e-1997, 1.01e-1997j | 
| 0.28350420709714693599 + 1.3125713991676555476e-7982j | 1.64e-2037, 1.64e-2037j | 
| 3.1726097502795508871 - 9.9802080973605257526e-7969j | 1.29e-2026, 1.29e-2026j | 
| 47.477306534190936457 - 4.7380246886822866343e-7943j | 2.2e-2003, 2.2e-2003j | 
| 0.7089680143963039206 + 4.2070233713611457287e-8003j | 7.19e-2035, 7.19e-2035j | 
| 205.95298743615513345 - 1.2487932531962580803e-7985j | 5.35e-2001, 5.35e-2001j | 
| 7.8232631436879996743 - 1.166570887996448971e-8035j | 3.98e-2021, 3.98e-2021j | 
| 1.7417204509711153594 - 5.0751728933010669084e-8045j | 8.14e-2031, 8.14e-2031j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.5182276594052404346e-145 + 6.2906384077716935434e-6124j | 1.67e-372, 2.57e-1877j | 
| 5.3994538057578755616e-125 - 1.3697110926412132369e-6113j | 8.3e-367, 1.27e-1871j | 
| 8.2090807355277965643e-96 + 1.0804823525301310378e-6098j | 1.92e-357, 2.96e-1862j | 
| 3.3157139352005020123e-137 - 8.3988383975928514519e-6120j | 9.39e-371, 1.44e-1875j | 
| 6.8806527077743608344e-120 + 5.4575896694781291673e-6111j | 1.4e-365, 2.15e-1870j | 
| 8.987175790506096205e-13 - 9.1916070426246034781e-6054j | 1.62e-284, 2.49e-1789j | 
| 6.1928379640594381423e-103 + 2.4515135273651033718e-6102j | 1.34e-360, 2.06e-1865j | 
| 2.9347367724896479199e-86 - 8.5619655710745478739e-6094j | 4.7e-355, 7.23e-1860j | 
| 1.3301191570538117864e-08 - 4.1260313746312479436e-6052j | 1.68e-271, 2.58e-1776j | 
| 1.0319308968769709939e-31 + 2.8923416706638684225e-6065j | 6.73e-321, 1.03e-1825j | 
| 3.0950729180695866035e-15 - 1.2456762088732971147e-6055j | 2.18e-294, 3.35e-1799j | 
| 4.3924239493380580063e-33 - 5.209270456338399362e-6066j | 1.64e-322, 2.52e-1827j | 
| 3.1420018921439178155e-09 + 2.0741373062679116256e-6052j | 2.68e-276, 4.11e-1781j | 
| 2.7548237833434498947e-99 - 1.7998988642127417961e-6100j | 5.93e-360, 9.12e-1865j | 
| 5.8279933592505431289e-05 + 4.5653020204520193414e-6050j | 9.42e-255, 1.45e-1759j | 
| 2.1239582649469993374e-25 - 8.8196120035349215593e-6062j | 5.84e-314, 8.97e-1819j | 
| 2.1103649838024704267e-05 - 2.3871238652933464779e-6050j | 6.91e-259, 1.06e-1763j | 
| 6.2657022107357825111e-19 - 4.9698006792692893245e-6058j | 4.46e-304, 6.86e-1809j | 
| 4.0978526132127793322e-23 - 1.7369895813310966129e-6060j | 6.35e-311, 9.76e-1816j | 
| 1.4520474515721381025e-72 + 9.6265106501838125822e-6087j | 1.44e-352, 2.21e-1857j | 
| 1.9804529158976237542e-07 - 1.6409555061255574392e-6051j | 1.01e-273, 1.55e-1778j | 
| 3.3086129372468178078e-115 - 1.3294750044169504302e-6108j | 2.94e-367, 4.52e-1872j | 
| 3.0646769319286855882e-24 + 3.9719692469424704891e-6061j | 8.28e-314, 1.27e-1818j | 
| 8.8176436193632157247e-107 - 2.6537055954319584519e-6104j | 3.58e-364, 5.5e-1869j | 
| 8.2808621657347055502e-59 + 1.3008789801279687872e-6079j | 3.55e-347, 5.45e-1852j | 
| 8.734192269467464835e-53 - 1.813385054513638616e-6076j | 5.4e-344, 8.3e-1849j | 
| 1.4536131596360243038e-10 + 5.6203859655923359215e-6053j | 1.97e-292, 3.02e-1797j | 
| 2.5436966648089311153e-83 + 2.7675641649980824589e-6092j | 5.01e-358, 7.7e-1863j | 
| 3.036990529853533396e-47 + 1.4713659057688243454e-6073j | 3.04e-341, 4.67e-1846j | 
| 6.9066363283426864665e-51 + 1.7905587685390254844e-6075j | 3.65e-343, 5.6e-1848j | 
| 2.2260479590361509587e-30 - 1.5454645496050578991e-6064j | 3.79e-327, 5.82e-1832j | 
| 9.6110487400965851787e-57 - 1.5496563602925607741e-6078j | 6.82e-347, 1.05e-1851j | 
| 7.1939082486641437137e-06 + 1.2387510409763595894e-6050j | 5.76e-283, 8.85e-1788j | 
| 1.7134835334802716792e-34 + 9.0170792252576013595e-6067j | 1.04e-331, 1.59e-1836j | 
| 1.1346709917731697955e-130 + 1.7664891469113674291e-6116j | 1.32e-377, 2.03e-1882j | 
| 0.00015151915238573398197 - 8.6868611607340885517e-6050j | 5.25e-279, 8.06e-1784j | 
| 4.3057927186758843235e-70 - 1.8228753827872270842e-6085j | 8.83e-355, 1.36e-1859j | 
| 8.5645359438845915661e-44 + 9.7568354740550128637e-6072j | 1.93e-340, 2.96e-1845j | 
| 5.8258758924536667402e-18 + 1.9582018560581430444e-6057j | 2.01e-316, 3.08e-1821j | 
| 6.9736180927480397683e-10 - 1.0590843669965697127e-6052j | 3.4e-301, 5.23e-1806j | 
| 1.7128258210520715803e-92 - 5.4235150241327556637e-6097j | 1.43e-363, 2.2e-1868j | 
| 6.2796954263900591241e-20 + 1.2458358675156601032e-6058j | 3.51e-319, 5.4e-1824j | 
| 0.012639781537792433181 - 7.6662542139208055364e-6048j | 2.18e-272, 3.36e-1777j | 
| 0.00085422608728335269525 - 3.1591592170495242559e-6049j | 1.46e-282, 2.24e-1787j | 
| 5.0839651353351914687e-22 + 7.3912336724410826746e-6060j | 1.5e-321, 2.31e-1826j | 
| 1.7242943896156597951e-80 - 7.9116912351083048158e-6091j | 9.4e-360, 1.44e-1864j | 
| 1.069950051608950786e-67 + 3.1619213547527040233e-6084j | 1.09e-354, 1.68e-1859j | 
| 7.3930683569508912439e-111 + 2.2002389549167657959e-6106j | 1.1e-371, 1.7e-1876j | 
| 0.096703343567397793955 - 9.4855158424039116631e-6048j | 1.95e-263, 2.99e-1768j | 
| 0.0071962424516970950494 + 2.7639945466441908432e-6048j | 3.42e-283, 5.25e-1788j | 
| 9.7665504398040797284e-55 + 1.7295415187019779611e-6077j | 4.56e-348, 7e-1853j | 
| 5.0526776009893647444e-17 - 7.6836431845295700228e-6057j | 8.27e-321, 1.27e-1825j | 
| 3.8829266870786804665e-42 - 7.3650035482829791787e-6071j | 7.68e-343, 1.18e-1847j | 
| 0.0018512244497990228995 + 6.1528366313773871484e-6049j | 2.08e-292, 3.2e-1797j | 
| 6.2116994668940037625e-61 - 1.0201549409500171569e-6080j | 4.19e-352, 6.43e-1857j | 
| 2.2488796435997102084e-65 - 5.0480530645075613384e-6083j | 1.86e-354, 2.86e-1859j | 
| 2.1896139481022197947e-14 + 5.5652030922026709424e-6055j | 1.59e-321, 2.45e-1826j | 
| 4.8502022981734697846e-49 - 1.6688728787294687113e-6074j | 2.41e-346, 3.71e-1851j | 
| 6.970395980485521805e-07 + 3.2470851438703033959e-6051j | 1.62e-310, 2.49e-1815j | 
| 6.1137871086682955876e-36 - 1.4980869689463545357e-6067j | 1.31e-340, 2.01e-1845j | 
| 1.5906827095785204306e-40 + 5.2973473759745652881e-6070j | 2.24e-343, 3.44e-1848j | 
| 8.0749597476322203882e-28 - 3.9537573809040389754e-6063j | 9.65e-336, 1.48e-1840j | 
| 0.053189015712792907839 - 1.1020623076846695382e-6047j | 3.05e-295, 4.69e-1800j | 
| 0.0037705706358395378849 - 1.2475637379886287063e-6048j | 4.98e-303, 7.65e-1808j | 
| 5.2928500579745190217e-08 + 8.2395310856920877929e-6052j | 1.08e-315, 1.65e-1820j | 
| 0.11681287161677678966 + 9.4679571809209933285e-6048j | 2.67e-293, 4.1e-1798j | 
| 2.3082913197826979208e-06 - 6.3713417826285239229e-6051j | 1.14e-312, 1.75e-1817j | 
| 4.0317388152866175791e-63 + 7.4496519378665552045e-6082j | 5.9e-355, 9.07e-1860j | 
| 2.8442260704465951483e-11 - 3.2670006459864234244e-6053j | 4.14e-322, 6.36e-1827j | 
| 4.4169597638449182259e-29 + 7.9576155901054327888e-6064j | 6.82e-337, 1.05e-1841j | 
| 5.2212209849508100375e-12 + 2.4635820669836392405e-6053j | 1.06e-323, 1.62e-1828j | 
| 0.035170238219029348711 + 1.5573100785468918094e-6047j | 2.01e-306, 3.09e-1811j | 
| 1.3622815370396008238e-26 + 1.8982369540561223222e-6062j | 2.58e-335, 3.96e-1840j | 
| 4.0606443572741860296e-75 - 4.6319516248802710335e-6088j | 6.65e-363, 1.02e-1867j | 
| 0.026646884833571195078 + 1.5305115273913082748e-6048j | 1.41e-308, 2.17e-1813j | 
| 0.011321682286826135103 + 3.1541815064280488086e-6047j | 1.39e-311, 2.14e-1816j | 
| 1.4496069081914692323e-13 - 3.2173879808279303126e-6054j | 3.01e-327, 4.63e-1832j | 
| 9.3058109882523627511e-78 + 2.0184716510047815166e-6089j | 2.48e-364, 3.81e-1869j | 
| 4.0910682651576598956e-16 + 3.0424876134640328156e-6056j | 5.61e-330, 8.61e-1835j | 
| 5.9044564127226844418e-39 - 3.6362173807304156519e-6069j | 1.62e-345, 2.49e-1850j | 
| 0.097392057933630266784 + 7.0066841378479519821e-6048j | 2.17e-316, 3.34e-1821j | 
| 0.13276705117983283105 + 9.2225386499784219767e-6048j | 5.97e-317, 9.18e-1822j | 
| 1.991002621112983761e-37 + 2.3856148711590559841e-6068j | 1.1e-344, 1.68e-1849j | 
| 0.063447793221221859111 - 4.5446608459279724679e-6048j | 4.19e-318, 6.44e-1823j | 
| 1.7018736836393312122e-45 - 1.2295487958430717102e-6072j | 4.29e-349, 6.59e-1854j | 
| 0.12175258019644760679 - 8.5016701239250447018e-6048j | 1.32e-319, 2.03e-1824j | 
| 0.013307905922548495801 - 3.5390024880482241688e-6047j | 1.4e-321, 2.15e-1826j | 
| 5.8591597129715948479e-21 - 3.0678210360748185157e-6059j | 5.45e-336, 8.37e-1841j | 
| 0.13024030349475322403 - 9.4586271031465903041e-6048j | 5.53e-322, 8.49e-1827j | 
| 2.593453518309917993e-89 + 2.3179643926828614174e-6095j | 9.15e-372, 1.41e-1876j | 
| 0.00037083423100286893918 + 1.6515447472435267096e-6049j | 8.76e-326, 1.35e-1830j | 
| 0.074324022152333101177 + 9.8007311755444501945e-6048j | 2.13e-323, 3.25e-1828j | 
All rules of Laguerre type can be downloaded here packed into a single file.