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) | 
|---|---|
| 361.31529162925766469 + 3.6697046909735647149e-4785j | 3.95e-2012, 3.95e-2012j | 
| 312.66952527986864359 + 1.5383214074228510693e-4771j | 1.13e-2006, 1.13e-2006j | 
| 278.91530530552455736 - 2.1301986042759855224e-4791j | 3.32e-2003, 3.32e-2003j | 
| 227.34613149601336736 - 1.9876599803123727965e-4893j | 1e-1998, 1e-1998j | 
| 206.14971321434045273 + 4.320203796384194039e-5058j | 3.22e-1997, 3.22e-1997j | 
| 164.21505456183486378 - 6.637841358622468185e-5248j | 4.13e-1995, 4.13e-1995j | 
| 105.12134156228595947 - 2.2451669147748404967e-5438j | 5.82e-1995, 5.82e-1995j | 
| 153.74733532626106385 + 9.7374952129130492845e-5561j | 8.83e-1995, 8.83e-1995j | 
| 326.22552587838889915 - 3.9944227212379149399e-5620j | 3.96e-2008, 3.96e-2008j | 
| 341.842770020006486 + 2.7722898665224155037e-5695j | 6.63e-2010, 6.63e-2010j | 
| 30.6562557919212396 - 2.0430187464258195919e-5750j | 1.71e-2006, 1.71e-2006j | 
| 25.403018521114686688 - 3.5259936667263618125e-5756j | 1.26e-2008, 1.26e-2008j | 
| 181.08530693846009769 + 8.8770299033875436101e-5787j | 8.27e-1996, 8.27e-1996j | 
| 134.44426291043160937 + 1.0497390625965729548e-5847j | 1.65e-1994, 1.65e-1994j | 
| 289.30334937084896628 - 1.7829796294295891897e-5876j | 3.27e-2004, 3.27e-2004j | 
| 20.674209055841217119 + 2.8340541680283398949e-5919j | 6.05e-2011, 6.05e-2011j | 
| 11.607819274451328515 - 8.1557425259198422052e-5927j | 4.51e-2017, 4.51e-2017j | 
| 62.633092865431004537 + 4.2027929357331433212e-5903j | 1.15e-1998, 1.15e-1998j | 
| 80.52258165085033625 + 4.7262764408517679156e-5959j | 1.55e-1996, 1.55e-1996j | 
| 187.05415212880922552 - 4.7182575214167883241e-6013j | 4.23e-1996, 4.23e-1996j | 
| 19.212101189863401139 + 8.4989601609329685194e-6067j | 8.77e-2012, 8.77e-2012j | 
| 32.526495815009313986 - 2.9903155863754897723e-6060j | 8.58e-2006, 8.58e-2006j | 
| 59.912481694325566913 + 2.491709662927163832e-6049j | 4.36e-1999, 4.36e-1999j | 
| 40.620366386813850542 + 5.2730522870725284105e-6063j | 3.07e-2003, 3.07e-2003j | 
| 54.683582613504141019 + 1.0784396339733896162e-6054j | 5.46e-2000, 5.46e-2000j | 
| 158.90821169945067822 - 4.0147747255648808607e-6060j | 6.05e-1995, 6.05e-1995j | 
| 28.845993605875632377 + 7.7995137825256642086e-6106j | 3.53e-2007, 3.53e-2007j | 
| 87.117366718740081312 - 4.6618026825023916213e-6092j | 5.77e-1996, 5.77e-1996j | 
| 15.161968331635742732 + 6.4777666292081335292e-6139j | 2.28e-2014, 2.28e-2014j | 
| 52.173079481937972264 - 6.5136413089078269291e-6124j | 1.7e-2000, 1.7e-2000j | 
| 38.503568226060371085 + 2.4471346702293532197e-6128j | 7.27e-2004, 7.27e-2004j | 
| 10.531664528035614068 + 1.9695928902873998979e-6143j | 4.8e-2018, 4.8e-2018j | 
| 17.806306137712111586 - 4.7034418221051710685e-6137j | 1.35e-2012, 1.35e-2012j | 
| 3.8352793410932227797 + 1.8241614226916378829e-6150j | 1.89e-2026, 1.89e-2026j | 
| 212.95786346090664693 - 4.2034074706903385797e-6118j | 1.1e-1997, 1.1e-1997j | 
| 259.97587747017946953 + 4.9215683256545239467e-6139j | 1.94e-2001, 1.94e-2001j | 
| 74.251944979079318701 + 1.3867432388259328263e-6148j | 3.75e-1997, 3.75e-1997j | 
| 300.48217475409778116 - 1.089379138318201365e-6152j | 2.4e-2005, 2.4e-2005j | 
| 97.649261149324688408 + 2.4435299730422116943e-6168j | 2.74e-1995, 2.74e-1995j | 
| 42.800632885300103881 + 8.3953052922952416709e-6207j | 1.2e-2002, 1.2e-2002j | 
| 199.57331463854572312 - 4.6297166654000007443e-6198j | 8.24e-1997, 8.24e-1997j | 
| 269.17354430057393131 - 1.8606538802644507233e-6215j | 2.96e-2002, 2.96e-2002j | 
| 8.5403221500087629845 - 1.4455492495337918987e-6252j | 4.8e-2020, 4.8e-2020j | 
| 139.07961199094288988 + 1.2136534733101719951e-6225j | 1.65e-1994, 1.65e-1994j | 
| 90.540741768369340817 - 1.3137385594508260442e-6235j | 1.01e-1995, 1.01e-1995j | 
| 83.778595749403953376 + 1.1969814867573676579e-6238j | 3.09e-1996, 3.09e-1996j | 
| 65.426052052421374204 + 1.0934478165300566328e-6240j | 3.17e-1998, 3.17e-1998j | 
| 101.33869693840634665 + 1.9959432316345083419e-6236j | 4.04e-1995, 4.04e-1995j | 
| 5.9516331346206670322 + 1.7390082853920469956e-6275j | 3.68e-2023, 3.68e-2023j | 
| 49.730487089383766284 + 4.39181353490398641e-6254j | 5.28e-2001, 5.28e-2001j | 
| 57.263023469172729363 + 2.5216238912433040354e-6251j | 1.58e-1999, 1.58e-1999j | 
| 234.97315083966890292 - 3.315193920082830244e-6247j | 2.65e-1999, 2.65e-1999j | 
| 36.449471826206787774 + 2.2586224629474248324e-6288j | 1.67e-2004, 1.67e-2004j | 
| 2.6841694652236483296 - 2.949558289904271844e-6312j | 9.31e-2029, 9.31e-2029j | 
| 22.193078964969882346 + 7.0519721802629718475e-6294j | 3.9e-2010, 3.9e-2010j | 
| 34.457346519434203608 + 1.6876471205188018811e-6288j | 3.74e-2005, 3.74e-2005j | 
| 242.92764490084200063 - 4.450565260282509136e-6279j | 6.02e-2000, 6.02e-2000j | 
| 251.24660776677580777 - 1.8846389347594997398e-6327j | 1.16e-2000, 1.16e-2000j | 
| 45.045172075209113336 + 5.9727691597110656044e-6370j | 4.69e-2002, 4.69e-2002j | 
| 5.193982240982065188 + 5.029768095096987684e-6403j | 3.21e-2024, 3.21e-2024j | 
| 13.922635583276910883 + 8.7167904044891968029e-6394j | 3.03e-2015, 3.03e-2015j | 
| 220.01616992752256983 + 1.1182113186326282618e-6373j | 3.7e-1998, 3.7e-1998j | 
| 94.050679896330051937 - 3.1887041779009764043e-6408j | 1.65e-1995, 1.65e-1995j | 
| 2.1860655060013861019 + 3.5278273967111156408e-6483j | 6.36e-2030, 6.36e-2030j | 
| 3.2338582137858026196 - 1.4007387253558801334e-6480j | 1.24e-2027, 1.24e-2027j | 
| 9.509262164160980455 - 1.3183356096858562013e-6471j | 5.27e-2019, 5.27e-2019j | 
| 77.347580667731345691 - 7.9656053088464418422e-6448j | 8.03e-1997, 8.03e-1997j | 
| 175.29541976492897844 - 3.2199440216262359621e-6483j | 1.58e-1995, 1.58e-1995j | 
| 7.6245717787182118365 - 4.984603659215374162e-6524j | 4.85e-2021, 4.85e-2021j | 
| 16.456396982407714952 - 1.0080984348683712498e-6516j | 1.75e-2013, 1.75e-2013j | 
| 0.27422458014707255398 - 9.7931753057743697461e-6541j | 8.75e-2038, 8.75e-2038j | 
| 1.7394130816514503145 - 2.498367506763088947e-6534j | 3.89e-2031, 3.89e-2031j | 
| 121.23686520051876738 - 2.4024763844297513131e-6496j | 1.58e-1994, 1.58e-1994j | 
| 112.97646800470767886 - 1.297224904222505422e-6514j | 1.02e-1994, 1.02e-1994j | 
| 4.4885950154094853374 - 5.0316239469174355593e-6563j | 2.28e-2025, 2.28e-2025j | 
| 1 - 5.5122865881759031114e-6572j | 1.14e-2033, 1.14e-2033j | 
| 47.354828103485726116 + 3.7140385188615921017e-6539j | 1.53e-2001, 1.53e-2001j | 
| 68.29261770474171351 + 4.5460798814213373062e-6533j | 7.18e-1998, 7.18e-1998j | 
| 0.0053377512390726206357 - 3.108789430243260163e-6708j | 2.45e-2042, 2.45e-2042j | 
| 193.21275436780831229 + 4.3286354409955870931e-6564j | 1.9e-1996, 1.9e-1996j | 
| 6.7617552252379142102 - 3.4226474500895339842e-6655j | 4.1e-2022, 4.1e-2022j | 
| 143.83858860055224937 - 3.2927335846278524817e-6626j | 1.41e-1994, 1.41e-1994j | 
| 169.67487323416307383 + 1.6943850422977257772e-6673j | 2.68e-1995, 2.68e-1995j | 
| 0.70704206882257352561 + 3.6335583721743657997e-6738j | 5.74e-2035, 5.74e-2035j | 
| 117.05449728867590106 - 1.2052746835283892793e-6695j | 1.32e-1994, 1.32e-1994j | 
| 12.738034240671946993 + 1.4158300866787721966e-6732j | 3.78e-2016, 3.78e-2016j | 
| 1.3440930288338968444 - 6.5893511925994795448e-6749j | 2.17e-2032, 2.17e-2032j | 
| 0.46513993209462102214 - 9.1199889674514576843e-6753j | 2.49e-2036, 2.49e-2036j | 
| 148.72606118518642692 - 6.8617428607374172673e-6711j | 1.18e-1994, 1.18e-1994j | 
| 125.52687015215366769 - 6.5715868655945799725e-6723j | 1.59e-1994, 1.59e-1994j | 
| 71.234115897488635072 - 3.2100002108990342521e-6746j | 1.73e-1997, 1.73e-1997j | 
| 23.769183303619547709 + 6.8057858288849690226e-6757j | 2.32e-2009, 2.32e-2009j | 
| 0.045012645020455812844 + 2.1077669868864098309e-6788j | 1.13e-2040, 1.13e-2040j | 
| 27.095106101450171426 + 1.268825823048411655e-6755j | 7.17e-2008, 7.17e-2008j | 
| 129.92806068934233795 + 4.2660043644407553084e-6741j | 1.68e-1994, 1.68e-1994j | 
| 108.99970511718885136 - 3.2209788947733847967e-6756j | 8.18e-1995, 8.18e-1995j | 
| 0.13422745621753234355 + 4.2084189629387914421e-6816j | 3.42e-2039, 3.42e-2039j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.7687890082605053699e-156 - 2.3951011614412978102e-4918j | 1.3e-359, 1.85e-1860j | 
| 2.0718236308804706982e-135 - 1.5935652338790322667e-4906j | 9.39e-354, 1.34e-1854j | 
| 7.4228999328475786048e-121 + 1.7872353576899315095e-4900j | 2.21e-349, 3.15e-1850j | 
| 1.3752316150855733708e-98 + 9.6236954291576904469e-4890j | 7.51e-342, 1.07e-1842j | 
| 1.9756333259543008188e-89 - 2.9217585085979615631e-4885j | 2.65e-338, 3.78e-1839j | 
| 2.5897632345091900986e-71 + 2.4002519682219460986e-4876j | 2.3e-330, 3.28e-1831j | 
| 8.5033170893260766954e-46 - 9.8376489545587558284e-4864j | 1.08e-314, 1.54e-1815j | 
| 8.6119976532014899687e-67 + 4.0887165968420474909e-4874j | 4.09e-328, 5.84e-1829j | 
| 3.0280946248296547182e-141 - 2.8423448799499508762e-4910j | 1.43e-357, 2.05e-1858j | 
| 5.9097007390018815501e-148 + 5.8347439736597439049e-4914j | 7.99e-360, 1.14e-1860j | 
| 8.9332618257322233521e-14 + 7.4203513421756833589e-4848j | 5.45e-273, 7.79e-1774j | 
| 1.543363211722395852e-11 - 9.5748097173864390215e-4847j | 3.4e-266, 4.86e-1767j | 
| 1.3330785549657755373e-78 - 6.1439095879248790343e-4880j | 1.01e-335, 1.45e-1836j | 
| 1.87066142394025403e-58 + 5.3733711144568950027e-4870j | 4.22e-326, 6.03e-1827j | 
| 2.4476452987321148892e-125 - 1.4825514406631977574e-4902j | 2.24e-353, 3.2e-1854j | 
| 1.5653500143534632766e-09 + 9.4863766469297887449e-4846j | 2.68e-262, 3.84e-1763j | 
| 1.0032649530607203677e-05 - 7.3650981661835191386e-4844j | 2.4e-243, 3.42e-1744j | 
| 1.7344593244614748032e-27 + 1.1662382235717172125e-4854j | 1.07e-301, 1.52e-1802j | 
| 3.441109641285456407e-35 + 1.7692896988331183791e-4858j | 2.11e-310, 3.02e-1811j | 
| 3.5157388456423475177e-81 + 3.3051141815639196225e-4881j | 3.01e-337, 4.3e-1838j | 
| 6.4983457176959589e-09 - 1.9231914008044783265e-4845j | 4.02e-262, 5.75e-1763j | 
| 1.421595069694941616e-14 - 2.9798836910711546385e-4848j | 1.31e-279, 1.87e-1780j | 
| 2.5660097950250814876e-26 - 4.4374507221445247038e-4854j | 1.37e-300, 1.95e-1801j | 
| 4.9081120496410948004e-18 - 5.7017504887766836366e-4850j | 1.2e-288, 1.71e-1789j | 
| 4.5381086227943021664e-24 - 5.7815885956088176315e-4853j | 2.68e-298, 3.84e-1799j | 
| 5.0789081583172946349e-69 - 3.2453231346376309042e-4875j | 3.6e-333, 5.15e-1834j | 
| 5.2829980856767481159e-13 - 1.7929922322464203071e-4847j | 6.28e-278, 8.97e-1779j | 
| 4.9479146403297143525e-38 + 6.9052256947683066197e-4860j | 8.56e-315, 1.22e-1815j | 
| 3.2957567183364020068e-07 + 1.3509195205461352437e-4844j | 5.61e-262, 8.01e-1763j | 
| 5.4367193004456736473e-23 + 1.9818528505228898244e-4852j | 2.84e-297, 4.06e-1798j | 
| 3.9562709719845030177e-17 + 1.6062985294595858681e-4849j | 8.15e-288, 1.16e-1788j | 
| 2.7991514190346871664e-05 + 1.2258122777578090749e-4843j | 4.57e-254, 6.52e-1755j | 
| 2.5468317223949709528e-08 + 3.7891422456413998573e-4845j | 1.94e-266, 2.77e-1767j | 
| 0.013547601884010536424 + 2.6371053604543564627e-4842j | 4.28e-230, 6.12e-1731j | 
| 2.2610159361135068415e-92 + 1.0559116375036886697e-4886j | 6.31e-346, 9.01e-1847j | 
| 1.1113665429740991664e-112 + 1.4008547583747289739e-4896j | 5.54e-355, 7.92e-1856j | 
| 1.7298623347465111815e-32 + 3.8625928273960740093e-4857j | 3.5e-312, 5e-1813j | 
| 3.6994568190889244207e-130 + 1.1050527299446463958e-4904j | 1.04e-360, 1.49e-1861j | 
| 1.4223248750948759124e-42 - 3.8836065913724183982e-4862j | 4.87e-322, 6.96e-1823j | 
| 5.7116103277646093912e-19 + 1.9607683597744683297e-4850j | 2.48e-296, 3.54e-1797j | 
| 1.3710303969936724523e-86 + 7.2493127713541452925e-4884j | 2.47e-344, 3.54e-1845j | 
| 1.1887454370238131652e-116 - 1.7551658904422547579e-4898j | 2.77e-356, 3.95e-1857j | 
| 0.00018415136550185958999 + 3.1233404379112826074e-4843j | 1.12e-263, 1.6e-1764j | 
| 1.8631837350729545877e-60 - 5.5058217925043326436e-4871j | 1.59e-333, 2.28e-1834j | 
| 1.6539567792477514241e-39 - 1.2819512647391625253e-4860j | 2.99e-320, 4.27e-1821j | 
| 1.3600329623306485831e-36 - 3.5674620690850283617e-4859j | 9.19e-318, 1.31e-1818j | 
| 1.090293849838779197e-28 - 2.9570335342158493987e-4855j | 1.2e-311, 1.71e-1812j | 
| 3.6435739340807393759e-44 + 6.3243601402542509608e-4863j | 2.15e-324, 3.07e-1825j | 
| 0.0020392565623898940495 - 1.0304504893390520182e-4842j | 7.48e-266, 1.07e-1766j | 
| 6.0835164769939577072e-22 - 6.567890794303327583e-4852j | 2.07e-305, 2.96e-1806j | 
| 3.5345530755238740558e-25 + 1.62982905163116823e-4853j | 4.82e-308, 6.88e-1809j | 
| 6.9779363898372448136e-102 - 2.3805920793692761838e-4891j | 2.05e-354, 2.92e-1855j | 
| 2.9935717957515618921e-16 - 4.3856573078094861316e-4849j | 1.25e-299, 1.78e-1800j | 
| 0.035768933723373430591 + 4.2677862128999055557e-4842j | 3.09e-259, 4.41e-1760j | 
| 3.5585466468448415068e-10 - 4.5467367252433626002e-4846j | 6.38e-292, 9.11e-1793j | 
| 2.1277721110980358352e-15 + 1.1608593888600877806e-4848j | 1.15e-298, 1.64e-1799j | 
| 2.5582936569022305456e-105 + 5.078131497814706219e-4893j | 2.27e-356, 3.24e-1857j | 
| 6.5343079675034814368e-109 - 9.2149273736311740618e-4895j | 7.2e-358, 1.03e-1858j | 
| 6.2299490093036110131e-20 - 6.5300696268256769825e-4851j | 2.74e-307, 3.92e-1808j | 
| 0.004059644957502451852 + 1.4502238602421642312e-4842j | 5.48e-278, 7.82e-1779j | 
| 1.0887942609934532424e-06 - 2.4451896206188499348e-4844j | 1.52e-290, 2.18e-1791j | 
| 2.0180683338439297374e-95 - 3.3949132254433949385e-4888j | 1.58e-352, 2.26e-1853j | 
| 5.0700728823487429419e-41 + 2.2805219846171285184e-4861j | 3.02e-326, 4.31e-1827j | 
| 0.053073083600308353745 - 5.1890782272285217932e-4842j | 1.76e-271, 2.52e-1772j | 
| 0.022678824218864023594 - 3.4049038150476614566e-4842j | 1.27e-275, 1.81e-1776j | 
| 7.3837231912814134822e-05 - 1.9841266269792355722e-4843j | 2.04e-288, 2.92e-1789j | 
| 8.0281815491879488258e-34 - 8.4305950717559790628e-4858j | 3.64e-321, 5.2e-1822j | 
| 4.2298346764239847995e-76 + 1.0482801331487127121e-4878j | 2.49e-346, 3.56e-1847j | 
| 0.00043422079610636297142 - 4.781508837891261389e-4843j | 7.89e-289, 1.13e-1789j | 
| 9.4263360866107574052e-08 - 7.2564322346896533679e-4845j | 1.35e-296, 1.93e-1797j | 
| 0.12576388480161943497 - 7.871663116315437966e-4842j | 4.15e-277, 5.93e-1778j | 
| 0.073931770369503675799 + 6.1137397866349840119e-4842j | 4.2e-277, 6e-1778j | 
| 9.4279027165205217027e-53 - 3.5514774860366542757e-4867j | 4.63e-337, 6.61e-1838j | 
| 3.466685146721518418e-49 - 2.0644819043305905339e-4865j | 1.27e-334, 1.82e-1835j | 
| 0.0076331325041247387754 - 1.9838635553623931714e-4842j | 2.41e-288, 3.45e-1789j | 
| 0.11717374040932047036 + 7.6697051558075966132e-4842j | 1.51e-281, 2.15e-1782j | 
| 6.3641471644231706536e-21 + 2.105286785042110102e-4851j | 1.04e-312, 1.48e-1813j | 
| 6.3659090886895306056e-30 + 7.229031344700160183e-4856j | 1.86e-320, 2.65e-1821j | 
| 0.017129440698455407845 + 2.0665712637296174201e-4842j | 1.26e-285, 1.8e-1786j | 
| 7.6764800190612841281e-84 - 1.6240202769603576972e-4882j | 2.79e-350, 3.98e-1851j | 
| 0.0009679145651197860516 + 7.1183918983918094429e-4843j | 1.97e-296, 2.81e-1797j | 
| 1.6404235062811236726e-62 + 5.3118406161289754481e-4872j | 2.91e-342, 4.16e-1843j | 
| 1.133851915834089413e-73 - 1.6488406597303948863e-4877j | 1.19e-346, 1.7e-1847j | 
| 0.13186387753996094866 - 8.1196205778052507586e-4842j | 6.16e-295, 8.8e-1796j | 
| 6.0227235925404460483e-51 + 2.7778670616639437652e-4866j | 4.26e-337, 6.09e-1838j | 
| 3.3994415321271473128e-06 + 4.3034515447204077837e-4844j | 8.05e-307, 1.15e-1807j | 
| 0.096406353472985302239 - 6.9693913533473157307e-4842j | 1.73e-298, 2.47e-1799j | 
| 0.13590807545267372508 + 8.220620346332235457e-4842j | 7.82e-298, 1.12e-1798j | 
| 1.2705743679939218551e-64 - 4.8142127506163305987e-4873j | 1.91e-343, 2.72e-1844j | 
| 1.3254433198884464632e-54 + 4.3075038849998562505e-4868j | 1.32e-339, 1.88e-1840j | 
| 3.4478542548708550845e-31 - 1.7028808054884101287e-4856j | 1.74e-326, 2.48e-1827j | 
| 7.6316556368010058269e-11 + 2.1170895475687621544e-4846j | 2.12e-315, 3.03e-1816j | 
| 0.061142180101182891065 - 5.2332769468942869765e-4842j | 1.87e-307, 2.67e-1808j | 
| 2.9418818858391655636e-12 + 4.2051091103960556612e-4847j | 2.3e-316, 3.28e-1817j | 
| 1.6676449052910977925e-56 - 4.9480364469358025877e-4869j | 1.01e-340, 1.44e-1841j | 
| 1.8034398668447767109e-47 + 1.4599588704623032531e-4864j | 3.94e-336, 5.63e-1837j | 
| 0.10017710552334310611 + 6.9526155018537694243e-4842j | 2.29e-311, 3.27e-1812j | 
All rules of Laguerre type can be downloaded here packed into a single file.