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) | 
|---|---|
| 334.37600421468430769 + 2.2695202951958229657e-5116j | 2.17e-2010, 2.17e-2010j | 
| 293.34896302728502453 + 1.0891429309413346704e-5107j | 6.85e-2006, 6.85e-2006j | 
| 318.88074249592541365 + 7.7562090228565037243e-5114j | 1.21e-2008, 1.21e-2008j | 
| 262.31779482357580664 - 3.5825049154363811808e-5102j | 8.54e-2003, 8.54e-2003j | 
| 271.9706291496135118 + 1.8551082396628454735e-5115j | 1.02e-2003, 1.02e-2003j | 
| 76.270638047919589611 + 3.1289096687616116611e-5127j | 1.79e-1997, 1.79e-1997j | 
| 29.731985761074942709 + 5.1187593831513968064e-5172j | 7.43e-2007, 7.43e-2007j | 
| 108.07488374329990142 + 5.9584749027162809117e-5161j | 1.47e-1995, 1.47e-1995j | 
| 353.7024965811074811 + 5.266505515283491056e-5195j | 1.27e-2012, 1.27e-2012j | 
| 253.20642280686275756 - 7.2190413514966052888e-5233j | 6.07e-2002, 6.07e-2002j | 
| 64.334737523111929921 - 2.2767169347345004695e-5287j | 7.3e-1999, 7.3e-1999j | 
| 37.50251629450195473 + 1.1171827232784658071e-5330j | 2.42e-2004, 2.42e-2004j | 
| 163.91003957172476614 + 7.5596132759014721266e-5390j | 5.08e-1996, 5.08e-1996j | 
| 143.25099328327878511 + 5.8621029955037512216e-5452j | 1.96e-1995, 1.96e-1995j | 
| 305.43443749066779295 - 1.0244376446457708491e-5480j | 3.81e-2007, 3.81e-2007j | 
| 8.4466517811210281678 + 2.7304248325502517527e-5503j | 2.86e-2019, 2.86e-2019j | 
| 12.291077805409495598 + 1.0154329122388334668e-5499j | 7.13e-2016, 7.13e-2016j | 
| 79.453780282730175105 + 3.2974050097382975103e-5478j | 3.66e-1997, 3.66e-1997j | 
| 53.604328719629029049 + 1.4547942023593322227e-5495j | 1.48e-2000, 1.48e-2000j | 
| 206.67068064501353141 - 1.3965069985357594976e-5489j | 2.64e-1998, 2.64e-1998j | 
| 13.405334716538062419 - 1.3395496793637694805e-5540j | 4.84e-2015, 4.84e-2015j | 
| 11.242378555161742866 + 4.2996324848822896494e-5542j | 1.1e-2016, 1.1e-2016j | 
| 120.41049018336919079 + 8.8566610262359966009e-5520j | 2.52e-1995, 2.52e-1995j | 
| 6.0165843328122930598 + 1.116406381457040342e-5581j | 2.6e-2022, 2.6e-2022j | 
| 58.824076695840359729 + 4.4154779163280108048e-5554j | 1.2e-1999, 1.2e-1999j | 
| 100.36319404917048836 - 6.3298327978396534549e-5577j | 8.49e-1996, 8.49e-1996j | 
| 187.15278827047089562 - 5.5863997277167631682e-5650j | 4.11e-1997, 4.11e-1997j | 
| 21.404067690452799986 - 4.1681059453892750821e-5727j | 2.15e-2010, 2.15e-2010j | 
| 67.202293318011064697 + 2.7155692719916215328e-5725j | 1.81e-1998, 1.81e-1998j | 
| 31.580715078011907472 + 1.9634538026357455485e-5770j | 3.42e-2006, 3.42e-2006j | 
| 124.7400837690575435 + 2.5378697999864322788e-5809j | 2.69e-1995, 2.69e-1995j | 
| 39.603836586173998958 - 1.2539948492068112066e-5871j | 9.76e-2004, 9.76e-2004j | 
| 18.494493018462859549 + 1.3650287554718523608e-5881j | 7.21e-2012, 7.21e-2012j | 
| 56.17843208149705282 - 5.7189361905710372014e-5865j | 4.2e-2000, 4.2e-2000j | 
| 199.93898947860144546 - 3.202362314902490231e-5904j | 7.25e-1998, 7.25e-1998j | 
| 5.2844912448592332343 - 2.1462856860008807927e-5993j | 2.5e-2023, 2.5e-2023j | 
| 89.508480377270990834 - 4.5464640510579624073e-5965j | 2.18e-1996, 2.18e-1996j | 
| 282.26648530753948608 + 7.5889938007958195774e-5999j | 9.45e-2005, 9.45e-2005j | 
| 153.28874161599731661 - 3.23625605985677261e-6054j | 1.16e-1995, 1.16e-1995j | 
| 175.1737876627094761 + 1.6400592967296517575e-6105j | 1.61e-1996, 1.61e-1996j | 
| 27.944893741561270698 - 6.2402209209847306345e-6135j | 1.55e-2007, 1.55e-2007j | 
| 22.948833933502370182 + 8.5124882983402396282e-6137j | 1.22e-2009, 1.22e-2009j | 
| 61.542433355973209084 - 5.5638487457893368681e-6126j | 2.96e-1999, 2.96e-1999j | 
| 9.3291180490733064372 - 6.3836487257883485826e-6146j | 2.11e-2018, 2.11e-2018j | 
| 51.100656903498980508 - 4.1096701279212488811e-6128j | 4.56e-2001, 4.56e-2001j | 
| 104.16980035191923786 + 2.1585967609918988882e-6123j | 1.2e-1995, 1.2e-1995j | 
| 93.034945822105070414 + 1.7874808250189575488e-6129j | 3.5e-1996, 3.5e-1996j | 
| 73.168746644263575827 - 1.9763703542307927595e-6145j | 8.6e-1998, 8.6e-1998j | 
| 1 + 1.7734245922032789164e-6192j | 4.45e-2033, 4.45e-2033j | 
| 193.43829843412327587 - 1.4913769441310215576e-6155j | 1.92e-1997, 1.92e-1997j | 
| 112.08128934014547238 + 7.9714076644291296804e-6222j | 1.91e-1995, 1.91e-1995j | 
| 41.770060695106487782 + 1.9957666688668491784e-6279j | 3.59e-2003, 3.59e-2003j | 
| 15.826239886641738547 + 2.5262208555939583904e-6323j | 1.97e-2013, 1.97e-2013j | 
| 19.91927718121048399 - 2.3164737870760705036e-6316j | 3.7e-2011, 3.7e-2011j | 
| 17.129965184944930593 - 1.7584750101787327668e-6321j | 1.13e-2012, 1.13e-2012j | 
| 228.45089509178054218 - 6.5379356806997261013e-6337j | 7.28e-2000, 7.28e-2000j | 
| 138.43545786416615214 - 2.3312996734204795899e-6429j | 2.31e-1995, 2.31e-1995j | 
| 70.146477953177152356 + 4.3799222495924475621e-6473j | 4.13e-1998, 4.13e-1998j | 
| 10.257382160766360565 - 2.053010641070827041e-6528j | 1.78e-2017, 1.78e-2017j | 
| 1.6496517805970149606 + 3.3825895334815886559e-6540j | 1.74e-2030, 1.74e-2030j | 
| 158.5230438511370379 - 3.5065406123362702184e-6504j | 8.01e-1996, 8.01e-1996j | 
| 213.65166758908769928 + 4.6324653459511447406e-6540j | 8.55e-1999, 8.55e-1999j | 
| 82.719897600294260752 - 4.5796164291029381964e-6554j | 6.82e-1997, 6.82e-1997j | 
| 35.465349931203581438 - 6.0047296113327374742e-6589j | 6.23e-2005, 6.23e-2005j | 
| 3.9606042071370736716 - 2.8574198132642869401e-6610j | 1.72e-2025, 1.72e-2025j | 
| 4.5979728630500204374 - 1.6014583217157773732e-6608j | 2.05e-2024, 2.05e-2024j | 
| 96.652405681458720891 + 4.6288941188943686653e-6579j | 5.36e-1996, 5.36e-1996j | 
| 181.06866088266248143 - 2.3896163821142094619e-6636j | 8.59e-1997, 8.59e-1997j | 
| 129.18464728000765018 - 1.6921809538213596326e-6696j | 2.87e-1995, 2.87e-1995j | 
| 6.7902215031945192171 + 3.7048996394760609045e-6776j | 2.9e-2021, 2.9e-2021j | 
| 0.72196585820194206812 + 9.102983085653165571e-6791j | 1.83e-2034, 1.83e-2034j | 
| 46.300455732653759179 + 2.421464008309112547e-6751j | 4.91e-2002, 4.91e-2002j | 
| 236.32462306484052676 - 1.5771214447037742392e-6756j | 1.61e-2000, 1.61e-2000j | 
| 148.20016640357975741 - 6.3348043717238007939e-6800j | 1.54e-1995, 1.54e-1995j | 
| 116.19206659817080867 - 3.5995583711511147426e-6822j | 2.3e-1995, 2.3e-1995j | 
| 0.062753379659813789868 - 3.7980563275422704522e-6892j | 5.09e-2040, 5.09e-2040j | 
| 3.3761674306651932729 - 2.6216814898391251522e-6879j | 1.56e-2026, 1.56e-2026j | 
| 244.56127829392270579 - 2.9525194672458996388e-6847j | 3.3e-2001, 3.3e-2001j | 
| 133.74828821997448354 - 3.5105026054878121835e-6894j | 2.63e-1995, 2.63e-1995j | 
| 48.666364820068955035 + 1.2103135316841242329e-6952j | 1.53e-2001, 1.53e-2001j | 
| 24.553707786538941699 - 4.5250863704598063498e-6972j | 6.2e-2009, 6.2e-2009j | 
| 0.48726973549270874252 + 6.563900549938319666e-6999j | 7.67e-2036, 7.67e-2036j | 
| 14.584246147584025461 + 3.3788526629473408131e-6978j | 2.89e-2014, 2.89e-2014j | 
| 220.90332180987621329 - 5.3867563675424071531e-6958j | 2.65e-1999, 2.65e-1999j | 
| 7.6011349062722800267 - 1.4222550712275874569e-7037j | 2.87e-2020, 2.87e-2020j | 
| 1.3139937123083044615 + 4.5601844308662828252e-7049j | 9.18e-2032, 9.18e-2032j | 
| 0.29892053287437948505 - 9.7558897436869930523e-7055j | 2.87e-2037, 2.87e-2037j | 
| 2.3902045572501654536 + 4.1329604334678034142e-7046j | 1.8e-2028, 1.8e-2028j | 
| 26.218944077283985961 - 5.405818856468277912e-7026j | 3.14e-2008, 3.14e-2008j | 
| 44.001985536291720989 - 1.9816456693909730709e-7013j | 1.33e-2002, 1.33e-2002j | 
| 0.011704210699467513387 - 1.1643766588200549667e-7068j | 1.23e-2041, 1.23e-2041j | 
| 2.8500082985710811872 + 8.0135737620045118499e-7054j | 1.72e-2027, 1.72e-2027j | 
| 0.15769548012154955374 - 3.2180067451458237677e-7065j | 1.3e-2038, 1.3e-2038j | 
| 1.9990968979678377934 - 2.5681280669061385603e-7056j | 1.83e-2029, 1.83e-2029j | 
| 86.070817785318953622 - 1.9941295727825702404e-7021j | 1.29e-1996, 1.29e-1996j | 
| 169.45743384946060687 - 5.4155841874384663346e-7077j | 2.95e-1996, 2.95e-1996j | 
| 33.491634585631923819 - 4.9344558287625768847e-7113j | 1.47e-2005, 1.47e-2005j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.0256468356141790265e-144 - 2.7664492906691669202e-5219j | 1.78e-372, 3.14e-1876j | 
| 4.5956696695656232375e-127 + 2.8739634101823509949e-5210j | 1.79e-367, 3.14e-1871j | 
| 4.6504876763411623812e-138 + 6.9019138646464416706e-5216j | 9.39e-371, 1.65e-1874j | 
| 1.1180578728404370138e-113 - 2.0776910943301006931e-5203j | 7.18e-364, 1.26e-1867j | 
| 7.6327409633736748814e-118 + 1.5159434814390312063e-5205j | 3.44e-365, 6.05e-1869j | 
| 2.3622279180573814801e-33 - 3.904405296216328544e-5160j | 8.79e-319, 1.55e-1822j | 
| 2.2238949794165339839e-13 + 1.315981480824992245e-5150j | 1.14e-282, 2.01e-1786j | 
| 4.5798233689591205628e-47 - 1.5408202658138989906e-5168j | 1.92e-332, 3.39e-1836j | 
| 5.5627168856149438477e-153 + 1.690914144813260797e-5223j | 2.51e-377, 4.43e-1881j | 
| 9.5861446916699405187e-110 + 2.1744212541195116664e-5201j | 3.29e-363, 5.8e-1867j | 
| 3.2472813695531433697e-28 - 3.3216535905777319826e-5158j | 2.86e-314, 5.04e-1818j | 
| 1.0681943260301655587e-16 + 1.9833214791647056963e-5152j | 7.22e-295, 1.27e-1798j | 
| 3.5680546780486708704e-71 - 2.070217626853488008e-5181j | 1.39e-349, 2.45e-1853j | 
| 2.9883519722821482441e-62 - 1.0365519525909745848e-5176j | 1.04e-344, 1.83e-1848j | 
| 2.8505104372462144195e-132 - 6.244902660539145151e-5213j | 1.18e-370, 2.08e-1874j | 
| 0.00018521911080895446138 + 6.5217632897733712732e-5145j | 4.33e-247, 7.62e-1751j | 
| 4.9667828930708392287e-06 + 5.2842522713223344306e-5146j | 3.98e-260, 7.01e-1764j | 
| 1.0048510348918565894e-34 - 4.3857887693052113946e-5161j | 2.42e-323, 4.25e-1827j | 
| 1.3321358242652069104e-23 - 5.299489845897066656e-5156j | 1.16e-310, 2.05e-1814j | 
| 1.202120840265971715e-89 + 5.008586692050797696e-5191j | 1.42e-358, 2.5e-1862j | 
| 1.7283793978933438774e-06 - 2.4466827821562166126e-5146j | 1.81e-265, 3.19e-1769j | 
| 1.3318714772870033808e-05 - 1.0944425507238343101e-5145j | 1.1e-259, 1.93e-1763j | 
| 2.1735118896976872692e-52 + 1.9273967063032891954e-5171j | 2.61e-339, 4.59e-1843j | 
| 0.0018372253710621515253 - 2.387571281954243313e-5144j | 4.13e-243, 7.26e-1747j | 
| 7.6112241764926898688e-26 - 4.2352360381530385985e-5157j | 1.35e-314, 2.38e-1818j | 
| 9.7231385962269627795e-44 - 1.0956925668237997236e-5166j | 3.97e-333, 6.99e-1837j | 
| 3.2490226819813593964e-81 - 1.1875299268622201576e-5186j | 5.84e-356, 1.03e-1859j | 
| 7.6679229112598116676e-10 - 1.5235428235487430265e-5148j | 5.14e-286, 9.05e-1790j | 
| 1.8952032916121657987e-29 + 9.6033549633802317674e-5159j | 2.71e-319, 4.76e-1823j | 
| 3.6204675201139588404e-14 - 4.7720065174063648034e-5151j | 1.2e-297, 2.12e-1801j | 
| 2.9388690200822226709e-54 - 1.8955387532863382826e-5172j | 4.77e-341, 8.39e-1845j | 
| 1.3470822927012485556e-17 - 6.5564940746938426743e-5153j | 8.72e-305, 1.53e-1808j | 
| 1.295479659743917122e-08 - 8.8959293849322200584e-5148j | 4.94e-284, 8.69e-1788j | 
| 1.0437701623911831189e-24 + 1.5077680860866688604e-5156j | 3.96e-314, 6.96e-1818j | 
| 9.727980086597268069e-87 - 1.6081371296263852988e-5189j | 5.93e-359, 1.04e-1862j | 
| 0.003599061849557802446 + 3.5875827774737225953e-5144j | 5.3e-255, 9.33e-1759j | 
| 4.6639457365806644996e-39 + 5.5684058899174595708e-5164j | 8.44e-331, 1.48e-1834j | 
| 2.7606003283425289887e-122 - 8.0289491817299543628e-5208j | 1.17e-371, 2.05e-1875j | 
| 1.3810938599947483832e-66 - 5.3244552543168900222e-5179j | 6.39e-350, 1.12e-1853j | 
| 4.8608556006973141495e-76 - 5.9021022274005373546e-5184j | 1.37e-354, 2.41e-1858j | 
| 1.283278862765612696e-12 - 3.5494651339483149235e-5150j | 7.66e-301, 1.35e-1804j | 
| 1.7008648580199284761e-10 + 6.1334110247474000639e-5149j | 2.1e-296, 3.69e-1800j | 
| 5.1594230560738067717e-27 + 1.1825719551876511131e-5157j | 4.03e-320, 7.09e-1824j | 
| 8.022916330887982571e-05 - 3.8736823484114844166e-5145j | 1.49e-277, 2.62e-1781j | 
| 1.583997843942630716e-22 + 1.8313377262406294995e-5155j | 2.43e-316, 4.27e-1820j | 
| 2.2166568878392561009e-45 + 1.3205927764616216661e-5167j | 1.75e-337, 3.07e-1841j | 
| 1.4070110463377230015e-40 - 7.0344976570672820767e-5165j | 2.52e-334, 4.44e-1838j | 
| 5.1191307705239425616e-32 + 1.2132288821895856955e-5159j | 6.49e-327, 1.14e-1830j | 
| 0.10954841741074793576 - 3.2129932495199020322e-5143j | 3.69e-273, 6.5e-1777j | 
| 6.2568989696495988278e-84 + 4.6075158494196901776e-5188j | 1.44e-360, 2.53e-1864j | 
| 8.5513273337637825083e-49 + 1.7320192981951671776e-5169j | 1.82e-340, 3.2e-1844j | 
| 1.5911314461193086431e-18 + 2.1170887196501867223e-5153j | 1.94e-315, 3.41e-1819j | 
| 1.704499340085281834e-07 - 4.8446013658457871987e-5147j | 4.74e-297, 8.34e-1801j | 
| 3.2506758420901553441e-09 + 3.7145421985133472418e-5148j | 3.66e-301, 6.43e-1805j | 
| 4.8505031101089765039e-08 + 2.0939452966830678798e-5147j | 1.58e-298, 2.79e-1802j | 
| 4.696958477616284551e-99 - 6.9073641270439121457e-5196j | 7.82e-370, 1.38e-1873j | 
| 3.5890950378673543993e-60 + 1.3142088201453609744e-5175j | 2.59e-350, 4.57e-1854j | 
| 1.0242869929649471566e-30 - 3.0116914066396961847e-5159j | 1.27e-328, 2.23e-1832j | 
| 3.3517984266357303184e-05 + 2.1361991191776528971e-5145j | 3.41e-295, 6.01e-1799j | 
| 0.065582839080175098208 - 4.3482914763037405985e-5143j | 3.58e-273, 6.3e-1777j | 
| 7.574686992793781987e-69 + 3.4440724211947035353e-5180j | 7.4e-355, 1.3e-1858j | 
| 1.1595245208978266919e-92 - 1.3791536824836425178e-5192j | 6.08e-367, 1.07e-1870j | 
| 3.9336648487458582692e-36 + 3.9284229584210202021e-5162j | 1.45e-334, 2.56e-1838j | 
| 7.9392516126186929744e-16 - 5.8602459653135165022e-5152j | 9.51e-319, 1.67e-1822j | 
| 0.011652067967551987724 + 8.3094080030588964522e-5144j | 1.61e-291, 2.83e-1795j | 
| 0.0066730914955331079615 - 5.4249137427739028156e-5144j | 9.33e-293, 1.64e-1796j | 
| 3.8753964220024316595e-42 + 8.8558099359644116593e-5166j | 1.07e-338, 1.88e-1842j | 
| 1.3808062412507448368e-78 + 2.7728181597495784857e-5185j | 2.69e-360, 4.73e-1864j | 
| 3.5429100536895145591e-56 + 1.7719340653305577316e-5173j | 5.15e-349, 9.07e-1853j | 
| 0.00089184629735024504704 + 1.5849294863337166372e-5144j | 2.18e-302, 3.83e-1806j | 
| 0.12491055717188756583 + 2.6625404981456637188e-5143j | 8.39e-289, 1.48e-1792j | 
| 1.818456521707915149e-20 + 2.0586367834566402595e-5154j | 1.15e-326, 2.02e-1830j | 
| 1.8673723162465616003e-102 + 1.2217320068242790025e-5197j | 3.21e-373, 5.65e-1877j | 
| 2.1777340878895803931e-64 + 7.6784223726093270632e-5178j | 1.03e-353, 1.82e-1857j | 
| 1.4386030595037796324e-50 - 1.8683435508149638801e-5170j | 3.55e-346, 6.26e-1850j | 
| 0.068074544193818180393 + 7.0796170694669735873e-5144j | 6.84e-299, 1.2e-1802j | 
| 0.019017108431510482998 - 1.2950165615624257784e-5143j | 7.74e-306, 1.36e-1809j | 
| 5.1801107783367235716e-106 - 1.8042334116395273238e-5199j | 3.65e-375, 6.43e-1879j | 
| 3.7925709528322947581e-58 - 1.5698162508898953397e-5174j | 1.27e-350, 2.24e-1854j | 
| 1.7565741763099305671e-21 - 6.2057574298493212309e-5155j | 4.85e-331, 8.54e-1835j | 
| 3.5479621835704563227e-11 - 2.4215436207038169576e-5149j | 2.54e-324, 4.47e-1828j | 
| 0.13010841379727063219 - 2.182528567040871972e-5143j | 2.97e-308, 5.22e-1812j | 
| 5.6128379521720779037e-07 + 1.1005488604776672432e-5146j | 1.75e-319, 3.07e-1823j | 
| 8.5476435848822016205e-96 + 3.3214066150999927074e-5194j | 1.42e-370, 2.51e-1874j | 
| 0.00041408654340557256543 - 1.035237232167438915e-5144j | 2.13e-316, 3.75e-1820j | 
| 0.08807003117363261365 + 3.8519265648265957291e-5143j | 6.59e-312, 1.16e-1815j | 
| 0.12220235856828122863 + 1.7187611529579052968e-5143j | 5.17e-311, 9.1e-1815j | 
| 0.038850624179401732054 - 3.1222308206848446324e-5143j | 2.5e-314, 4.4e-1818j | 
| 6.9592446383572335107e-12 + 9.368796602105376117e-5150j | 2.98e-325, 5.25e-1829j | 
| 1.758971503678760551e-19 - 6.6781516793037742225e-5154j | 1.18e-330, 2.07e-1834j | 
| 0.029826630262845642568 - 2.2019693094001424408e-5144j | 1.39e-314, 2.45e-1818j | 
| 0.028603457712350213216 + 2.0432189575370481048e-5143j | 4.05e-316, 7.12e-1820j | 
| 0.10062283873459914102 - 1.2300369943980746232e-5143j | 2.05e-314, 3.6e-1818j | 
| 0.049195022198471907294 + 4.1229671502747823353e-5143j | 1.61e-315, 2.83e-1819j | 
| 1.414572773727254007e-37 - 4.5032454031059462614e-5163j | 3.78e-341, 6.66e-1845j | 
| 1.4325455431176528646e-73 + 1.1516360971858765398e-5182j | 4.7e-360, 8.27e-1864j | 
| 5.5343243037219863971e-15 + 1.6916534487521977307e-5151j | 1.57e-328, 2.75e-1832j | 
All rules of Laguerre type can be downloaded here packed into a single file.