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) | 
|---|---|
| 313.60895226686623698 + 5.5969325298719038778e-5345j | 4.71e-2009, 4.71e-2009j | 
| 348.22921897215770258 - 4.4359146614753647385e-5356j | 5.52e-2013, 5.52e-2013j | 
| 329.01252823393800562 - 1.138387634261674958e-5350j | 9.36e-2011, 9.36e-2011j | 
| 257.41318640910499786 + 1.0034675472543231783e-5358j | 2.86e-2003, 2.86e-2003j | 
| 154.488068731607295 + 1.1838515424833558005e-5391j | 1.69e-1996, 1.69e-1996j | 
| 22.720179897060220765 - 1.7217262685372307607e-5440j | 2.27e-2010, 2.27e-2010j | 
| 288.23611116174256232 + 3.1449673690289309251e-5426j | 2.58e-2006, 2.58e-2006j | 
| 149.30767712255609797 + 2.1772490529084343364e-5453j | 2.43e-1996, 2.43e-1996j | 
| 216.30811932343447252 + 7.8055462969681407223e-5474j | 7.44e-2000, 7.44e-2000j | 
| 248.36652905860393938 - 3.4983561417568317528e-5483j | 1.84e-2002, 1.84e-2002j | 
| 51.047267348521656303 + 8.5059524987062637223e-5510j | 1.28e-2001, 1.28e-2001j | 
| 26.012138868189452567 + 8.6870640328511393289e-5518j | 7.6e-2009, 7.6e-2009j | 
| 134.61487659830819552 - 1.7111627852519082978e-5502j | 4.48e-1996, 4.48e-1996j | 
| 125.47025342407861517 + 4.0981298377442847671e-5539j | 5.09e-1996, 5.09e-1996j | 
| 76.423299590226831881 - 2.5528617586393105354e-5551j | 4.48e-1998, 4.48e-1998j | 
| 43.901230423379507732 + 3.2285404820837424789e-5573j | 3.73e-2003, 3.73e-2003j | 
| 9.7451094135230806557 - 2.891664392371734842e-5599j | 7.39e-2019, 7.39e-2019j | 
| 79.636898758128813572 + 5.0252826134342870695e-5575j | 8.84e-1998, 8.84e-1998j | 
| 139.37710010511664856 - 2.4537442752110212195e-5625j | 3.81e-1996, 3.81e-1996j | 
| 64.382058808511106536 - 2.8564304894764163873e-5670j | 1.76e-1999, 1.76e-1999j | 
| 24.336190230111941485 + 9.5957210032593436198e-5709j | 1.35e-2009, 1.35e-2009j | 
| 129.98086665784126717 + 3.2633409390683895205e-5716j | 4.75e-1996, 4.75e-1996j | 
| 202.19188608043822602 - 2.4615721731125138772e-5763j | 7.54e-1999, 7.54e-1999j | 
| 82.935312204470412613 - 5.152059092782769692e-5780j | 1.64e-1997, 1.64e-1997j | 
| 61.567112991113578117 - 7.2643008869350596421e-5795j | 6.89e-2000, 6.89e-2000j | 
| 7.8232631436879996743 - 1.7536596964713731795e-5824j | 8.34e-2021, 8.34e-2021j | 
| 6.9444013837641634235 - 7.4856390887107683148e-5825j | 8.01e-2022, 8.01e-2022j | 
| 116.80182800273027448 + 1.8078363105358025445e-5797j | 4.22e-1996, 4.22e-1996j | 
| 70.243350539060190935 + 9.625786619384338384e-5820j | 1e-1998, 1e-1998j | 
| 277.22597212530057711 + 1.1380479540790107153e-5828j | 3.48e-2005, 3.48e-2005j | 
| 300.24506795044032457 - 3.7429121819227173442e-5857j | 1.51e-2007, 1.51e-2007j | 
| 37.361918978329661308 + 1.2558366755777610128e-5890j | 7.02e-2005, 7.02e-2005j | 
| 19.665738926864223085 + 1.6001502948771169363e-5906j | 6.65e-2012, 6.65e-2012j | 
| 73.292690690784439377 + 7.2129702244169954464e-5893j | 2.25e-1998, 2.25e-1998j | 
| 108.57803262401549496 - 6.6345566449135222494e-5959j | 3.06e-1996, 3.06e-1996j | 
| 170.97541316832965006 - 8.4345339418576231638e-6000j | 4.14e-1997, 4.14e-1997j | 
| 14.253000125639294464 - 9.3082245561565797e-6044j | 2.66e-2015, 2.66e-2015j | 
| 89.794440912924953433 + 1.1736245182502678918e-6022j | 4.87e-1997, 4.87e-1997j | 
| 27.748619575349292522 - 8.3655017333177982849e-6067j | 4.06e-2008, 4.06e-2008j | 
| 144.27278693809349347 - 8.1012073527638638217e-6054j | 3.22e-1996, 3.22e-1996j | 
| 39.475805044285833194 - 1.7756144394223986629e-6103j | 2.73e-2004, 2.73e-2004j | 
| 195.51733872931241099 + 2.2387738221827118839e-6104j | 1.99e-1998, 1.99e-1998j | 
| 21.163542285090901037 + 1.0813631755411319777e-6170j | 4.33e-2011, 4.33e-2011j | 
| 2.3487447866397730207 - 6.3350192133716659109e-6188j | 7.45e-2029, 7.45e-2029j | 
| 1.3162650904889555348 + 2.4821891994836506394e-6191j | 7.22e-2032, 7.22e-2032j | 
| 231.60946143594196854 + 4.0697107261712700459e-6156j | 4.94e-2001, 4.94e-2001j | 
| 8.756757636512702586 + 3.1111180892090665288e-6230j | 8.06e-2020, 8.06e-2020j | 
| 10.788588716711066795 - 6.5047775275426935022e-6229j | 6.46e-2018, 6.46e-2018j | 
| 0.71749687233643551299 - 4.7554120287801232062e-6255j | 1.42e-2034, 1.42e-2034j | 
| 16.844611260213905337 + 5.7753927022134412236e-6233j | 1.31e-2013, 1.31e-2013j | 
| 209.11505394688963574 - 1.6469750926549507532e-6217j | 2.34e-1999, 2.34e-1999j | 
| 266.99930523958230968 - 2.0316299948264779301e-6279j | 3.42e-2004, 3.42e-2004j | 
| 67.273652646132074778 - 1.3905189801028167339e-6306j | 4.35e-1999, 4.35e-1999j | 
| 223.79622170326571502 - 7.6556314881946674863e-6332j | 2.16e-2000, 2.16e-2000j | 
| 18.226257542633799058 - 8.426880222339397884e-6384j | 1.01e-2012, 1.01e-2012j | 
| 53.568722536693846343 + 8.0067494531416762841e-6368j | 3.84e-2001, 3.84e-2001j | 
| 31.405700420394274599 - 3.4043907788280392631e-6397j | 9.38e-2007, 9.38e-2007j | 
| 11.88750157129915067 + 7.1073030442455061826e-6408j | 5.01e-2017, 5.01e-2017j | 
| 13.042184245246074979 - 7.7787188271997526268e-6407j | 3.88e-2016, 3.88e-2016j | 
| 0.47950896418829835219 + 5.2603224860217849666e-6427j | 5.1e-2036, 5.1e-2036j | 
| 86.320474691569412831 + 5.041965069610785327e-6386j | 2.93e-1997, 2.93e-1997j | 
| 93.359395716271341024 - 2.547387617759282232e-6454j | 7.78e-1997, 7.78e-1997j | 
| 6.1200117895568020081 + 4.8725796416011812773e-6543j | 8.09e-2023, 8.09e-2023j | 
| 46.214559351326287638 + 9.9476577838649214074e-6522j | 1.35e-2002, 1.35e-2002j | 
| 182.84371009688871914 - 7.4821393028425973212e-6618j | 1.08e-1997, 1.08e-1997j | 
| 1.9593371403909266334 + 3.6153612831791100742e-6773j | 1.08e-2029, 1.08e-2029j | 
| 189.07319672621160309 - 2.2507109996528603639e-6744j | 4.88e-1998, 4.88e-1998j | 
| 121.07860408107405666 - 3.5327976122660535962e-6850j | 4.78e-1996, 4.78e-1996j | 
| 56.161719265635409349 + 6.9327905238902119783e-6922j | 1.09e-2000, 1.09e-2000j | 
| 1 - 1.5155059866143516492e-7009j | 3.19e-2033, 3.19e-2033j | 
| 3.9741035613772851441 - 7.5099182961269676529e-6995j | 7.63e-2026, 7.63e-2026j | 
| 33.327640322512446585 + 2.9351223121987988494e-6971j | 4.14e-2006, 4.14e-2006j | 
| 5.350033337657223209 + 2.6562261805482902322e-7009j | 7.88e-2024, 7.88e-2024j | 
| 239.78444545358858522 + 8.7973096827913928311e-7038j | 9.83e-2002, 9.83e-2002j | 
| 15.520338008600780121 - 8.163486162461245272e-7107j | 1.93e-2014, 1.93e-2014j | 
| 29.546255486178667421 + 4.9425438759235047132e-7097j | 2.14e-2007, 2.14e-2007j | 
| 35.31279483032866698 - 1.7750442237661954116e-7088j | 1.8e-2005, 1.8e-2005j | 
| 165.31383860154702789 + 8.6211100444508723485e-7110j | 6.93e-1997, 6.93e-1997j | 
| 58.827435768880591201 - 3.4338655613644342688e-7139j | 2.79e-2000, 2.79e-2000j | 
| 3.369839231310923141 - 4.5919199595007419337e-7197j | 6.26e-2027, 6.26e-2027j | 
| 97.017665521370826958 + 6.3095183750079937434e-7165j | 1.17e-1996, 1.17e-1996j | 
| 1.6385695114997928212 + 1.5315710305754224757e-7255j | 1.11e-2030, 1.11e-2030j | 
| 2.825043478769902599 - 6.4170987257613601193e-7256j | 6.75e-2028, 6.75e-2028j | 
| 4.6345787011826403066 - 5.2663455805639647814e-7248j | 7.67e-2025, 7.67e-2025j | 
| 112.63614070247239184 + 9.6798119378200971478e-7225j | 3.74e-1996, 3.74e-1996j | 
| 176.81514089197431567 + 8.9280639273838316057e-7269j | 2.11e-1997, 2.11e-1997j | 
| 0.28963033840576756589 + 1.8278111677599553812e-7337j | 2.26e-2037, 2.26e-2037j | 
| 0.14894276784094091554 + 3.3296190587384967695e-7339j | 7.91e-2039, 7.91e-2039j | 
| 100.77173110965270978 + 2.1201287052264744422e-7295j | 1.66e-1996, 1.66e-1996j | 
| 0.056897625001077184683 + 1.2132054013203099082e-7364j | 2.82e-2040, 2.82e-2040j | 
| 159.82089852566305792 - 7.1426413127826565518e-7319j | 1.1e-1996, 1.1e-1996j | 
| 41.655284549275703409 + 1.7032046777170738151e-7344j | 1.03e-2003, 1.03e-2003j | 
| 0.010102289992704973003 + 3.8569686218509099595e-7449j | 9.77e-2042, 9.77e-2042j | 
| 48.596234314555416203 - 4.7939905301760437808e-7343j | 4.32e-2002, 4.32e-2002j | 
| 104.62424199498382086 + 1.3388125999006556862e-7335j | 2.27e-1996, 2.27e-1996j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 9.0028908046702230872e-136 - 2.5444959056657628667e-5480j | 4.33e-368, 7.69e-1870j | 
| 1.317894626843696019e-150 + 4.7450880790830968114e-5489j | 7.92e-373, 1.41e-1874j | 
| 2.1766860258458883128e-142 - 1.4938417950202863128e-5484j | 2.95e-370, 5.24e-1872j | 
| 1.4978020871694007761e-111 + 7.8300808929058818433e-5470j | 5.77e-362, 1.03e-1863j | 
| 4.2392569803033727106e-67 - 1.866018884567802171e-5447j | 1.22e-343, 2.18e-1845j | 
| 2.1533664888423827748e-10 - 3.1742332677049309362e-5418j | 2.46e-271, 4.38e-1773j | 
| 7.5862997435318649943e-125 - 6.6146540492968904722e-5476j | 2.69e-366, 4.79e-1868j | 
| 7.3219462517524556245e-65 + 2.4950558011812338227e-5446j | 1.33e-342, 2.37e-1844j | 
| 8.3953361230593016532e-94 - 8.2381016875339285542e-5461j | 7.55e-357, 1.34e-1858j | 
| 1.2034976821581286207e-107 - 1.0981476223306494914e-5467j | 3.91e-361, 6.95e-1863j | 
| 1.6825403050855322264e-22 - 1.0622469602769946728e-5424j | 6.7e-307, 1.19e-1808j | 
| 8.6115137058825227365e-12 - 5.3804773386015775855e-5419j | 2.66e-282, 4.74e-1784j | 
| 1.6193783278354158029e-58 - 3.9532869644817107841e-5443j | 1.93e-340, 3.44e-1842j | 
| 1.4366881751351546089e-54 - 3.917739907668565829e-5441j | 1.57e-338, 2.8e-1840j | 
| 2.0468673733621880383e-33 + 2.3575354206441064541e-5430j | 5.21e-323, 9.26e-1825j | 
| 1.9578248044843759022e-19 + 4.3238343523273737688e-5423j | 1.38e-304, 2.45e-1806j | 
| 5.9509969568872990019e-05 - 4.836549742175926571e-5415j | 1.29e-255, 2.29e-1757j | 
| 8.4484649765858611445e-35 - 4.5852149722707010814e-5431j | 1.66e-324, 2.95e-1826j | 
| 1.4225433454540798204e-60 + 3.6212494671888175496e-5444j | 1.68e-342, 2.98e-1844j | 
| 3.1227270830559927928e-28 + 1.110570706348397179e-5427j | 1.24e-318, 2.2e-1820j | 
| 4.4394156479679365218e-11 + 1.3250555763354060522e-5418j | 2.87e-287, 5.11e-1789j | 
| 1.6221447245401830207e-56 + 4.0552419575567478783e-5442j | 3.12e-340, 5.54e-1842j | 
| 1.0505257867286764581e-87 - 8.9298029783911040041e-5458j | 1.49e-358, 2.65e-1860j | 
| 3.2032237799198953092e-36 + 8.5579991589695941406e-5432j | 5.04e-327, 8.95e-1829j | 
| 5.073786192538487504e-27 - 4.7067599441727333904e-5427j | 4.19e-318, 7.44e-1820j | 
| 0.00036274195778312118847 - 1.6007803873080265099e-5414j | 8.35e-260, 1.48e-1761j | 
| 0.00082096248122151444288 + 2.8393168923381093069e-5414j | 1.34e-256, 2.38e-1758j | 
| 7.9247828492752370177e-51 - 3.0802283688362994362e-5439j | 9.5e-339, 1.69e-1840j | 
| 9.3790647727805086199e-31 + 5.5277029511465365482e-5429j | 2.71e-322, 4.82e-1824j | 
| 4.2382221751725032509e-120 + 1.1740926876060642956e-5473j | 1.11e-371, 1.98e-1873j | 
| 5.0806763396058958978e-130 + 3.0351111284005874965e-5478j | 5.16e-375, 9.18e-1877j | 
| 1.2367274935860493548e-16 - 1.3164627104295949214e-5421j | 1.37e-308, 2.44e-1810j | 
| 4.2283364767322784435e-09 - 1.6796365810194877372e-5417j | 1.05e-291, 1.86e-1793j | 
| 4.5635686303122859356e-32 - 1.1642923748027421993e-5429j | 1.62e-324, 2.87e-1826j | 
| 2.8041948952058767671e-47 - 1.9507760248252304012e-5437j | 1.77e-338, 3.15e-1840j | 
| 3.2056185438920434551e-74 + 4.9398685969598495703e-5451j | 7.04e-355, 1.25e-1856j | 
| 7.9997333781829341981e-07 - 3.4474373965320750056e-5416j | 2.01e-288, 3.56e-1790j | 
| 3.5416004146378656272e-39 + 2.6244561520838564031e-5433j | 4.67e-333, 8.3e-1835j | 
| 1.5709138750768347363e-12 + 2.1242521538100560128e-5419j | 7.27e-304, 1.29e-1805j | 
| 1.0939102565171974188e-62 - 3.109053235875492313e-5445j | 1.36e-346, 2.41e-1848j | 
| 1.5403338266653178003e-17 + 4.3505139709082336046e-5422j | 2.09e-313, 3.72e-1815j | 
| 8.0273614571259929031e-85 + 2.4495394649692015229e-5456j | 2.24e-360, 3.98e-1862j | 
| 9.8325738332056817714e-10 + 7.3999996359206415962e-5418j | 3.31e-300, 5.88e-1802j | 
| 0.041650561988421406774 - 1.5051401355546007394e-5412j | 3.79e-258, 6.74e-1760j | 
| 0.08728910404649918687 + 2.5056395920910550159e-5412j | 1.79e-246, 3.19e-1748j | 
| 2.0686775991129541243e-100 - 4.3299998106166363441e-5464j | 1.75e-367, 3.11e-1869j | 
| 0.00015123708507564598718 + 8.8798599413103302454e-5415j | 1.44e-284, 2.56e-1786j | 
| 2.2101546909067421612e-05 + 2.5823839625057180363e-5415j | 3.74e-289, 6.65e-1791j | 
| 0.12745087625693711817 + 1.6696327705272169372e-5412j | 1.14e-251, 2.03e-1753j | 
| 6.5424301818591046459e-08 - 8.0022610902983727897e-5417j | 4.42e-298, 7.87e-1800j | 
| 1.073837696092355944e-90 + 2.8918293156271873212e-5459j | 2.71e-363, 4.82e-1865j | 
| 1.0932723500942653887e-115 - 1.6339442951190444789e-5471j | 8.75e-374, 1.56e-1875j | 
| 1.779714222549384924e-29 - 2.5249950283867346472e-5428j | 1.28e-329, 2.28e-1831j | 
| 4.8969217048360437636e-97 + 2.0404276754397001742e-5462j | 3.61e-366, 6.41e-1868j | 
| 1.7131891890541579873e-08 + 3.7136513292961803771e-5417j | 8.1e-304, 1.44e-1805j | 
| 1.3903879864360193217e-23 + 2.8878374490915520074e-5425j | 2.13e-326, 3.78e-1828j | 
| 4.3378206923892587934e-14 + 3.0381447155662234374e-5420j | 1.06e-315, 1.89e-1817j | 
| 7.747242298235365253e-06 - 1.3499037566664336761e-5415j | 1.28e-298, 2.28e-1800j | 
| 2.562837146905582643e-06 + 6.9011775800130162204e-5416j | 4.38e-300, 7.78e-1802j | 
| 0.13264259703989087953 - 1.4040211790890992969e-5412j | 1.19e-271, 2.12e-1773j | 
| 1.1134954002957817541e-37 - 1.531366485905674655e-5432j | 2.74e-337, 4.88e-1839j | 
| 1.0284486445957866463e-40 - 4.3031374232039769727e-5434j | 2.08e-340, 3.7e-1842j | 
| 0.0017525551872289687481 - 4.9687809780594234943e-5414j | 3.41e-295, 6.07e-1797j | 
| 1.9945614411263713239e-20 - 1.2990724055978822703e-5423j | 2.73e-325, 4.85e-1827j | 
| 2.3945589059809311444e-79 + 1.3345551226474538526e-5453j | 4.5e-362, 8e-1864j | 
| 0.048432968708023910116 + 2.4518237524223502834e-5412j | 3.17e-287, 5.64e-1789j | 
| 4.878175529623950729e-82 - 6.0191201106706063428e-5455j | 6.41e-363, 1.14e-1864j | 
| 1.1299908870130984932e-52 + 3.5722285602986838279e-5440j | 1.71e-348, 3.04e-1850j | 
| 1.069280001268552531e-24 - 7.5849144585291640808e-5426j | 4.61e-331, 8.2e-1833j | 
| 0.11118917207502155775 - 2.0174148613168010192e-5412j | 2.12e-288, 3.77e-1790j | 
| 0.011891917745789625877 + 2.5734662617794500518e-5413j | 1.68e-300, 2.98e-1802j | 
| 6.5582250483483603705e-15 - 1.0996212741121240987e-5420j | 3.78e-323, 6.73e-1825j | 
| 0.0035265988818015765718 + 8.6115844102443483047e-5414j | 1.19e-303, 2.11e-1805j | 
| 6.1047688261363854481e-104 + 7.710435772813962585e-5466j | 5.65e-373, 1e-1874j | 
| 2.3556942239903256775e-07 + 1.681474590433564446e-5416j | 5.78e-313, 1.03e-1814j | 
| 2.6934092102075535637e-13 - 8.1507740343153552473e-5420j | 2.45e-321, 4.36e-1823j | 
| 9.3015690141217236477e-16 + 3.8628595490989073565e-5421j | 2.68e-324, 4.77e-1826j | 
| 8.9416178661415468092e-72 - 8.3346880418429733303e-5450j | 7.37e-360, 1.31e-1861j | 
| 7.6442079015016186627e-26 + 1.9235043341325255065e-5426j | 3.87e-333, 6.87e-1835j | 
| 0.019789643012301351809 - 4.5225295501075618519e-5413j | 1.79e-309, 3.19e-1811j | 
| 2.7204343000237867987e-42 + 6.7424913813402208394e-5435j | 3.51e-345, 6.24e-1847j | 
| 0.061147367151542531893 - 2.8700430628152077583e-5412j | 1.94e-307, 3.45e-1809j | 
| 0.030416299509950982123 + 8.1721714246440568503e-5413j | 9.62e-310, 1.71e-1811j | 
| 0.006681428939966813495 - 1.4860839396528450229e-5413j | 3.91e-312, 6.94e-1814j | 
| 4.9742592570259538451e-49 + 2.5162850662753084765e-5438j | 5.23e-349, 9.3e-1851j | 
| 9.6245434315967841766e-77 - 2.6869060669674804093e-5452j | 5.72e-363, 1.02e-1864j | 
| 0.12375914163614722061 + 1.1590622572208043446e-5412j | 6.24e-314, 1.11e-1815j | 
| 0.1000451333652398414 - 8.9022069950163319899e-5413j | 1.51e-314, 2.68e-1816j | 
| 6.538834805453102102e-44 - 1.008363179469899154e-5435j | 5.28e-347, 9.39e-1849j | 
| 0.064704024969804675802 + 5.6192525334334484337e-5413j | 1.21e-316, 2.14e-1818j | 
| 2.1085626610405423118e-69 + 1.2963122107180774871e-5448j | 1.05e-359, 1.87e-1861j | 
| 1.7957073017157486814e-18 - 1.3934721184487049343e-5422j | 2.54e-333, 4.51e-1835j | 
| 0.02620262278464762142 - 1.8949430173704646705e-5413j | 2.24e-320, 3.98e-1822j | 
| 1.8969377418584473428e-21 + 3.7771484449983969015e-5424j | 3.56e-335, 6.33e-1837j | 
| 1.4243934723511017512e-45 + 1.4375158773184704569e-5436j | 5.02e-348, 8.92e-1850j | 
All rules of Laguerre type can be downloaded here packed into a single file.