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) | 
|---|---|
| 290.63970498773704451 + 1.3087027463161464867e-4914j | 7.4e-2011, 7.4e-2011j | 
| 324.42115844442959262 - 2.126012711174850985e-4919j | 1.07e-2014, 1.07e-2014j | 
| 277.61957783547630643 + 2.9066833130993986273e-4913j | 2.01e-2009, 2.01e-2009j | 
| 265.93010614577798509 + 6.69054094041753232e-4912j | 3.36e-2008, 3.36e-2008j | 
| 75.469189593199624146 - 3.4893753800283281162e-4903j | 1.97e-2000, 1.97e-2000j | 
| 20.825610490408700395 + 9.6280737999826421287e-4917j | 2.19e-2012, 2.19e-2012j | 
| 82.232022995362497223 + 7.2470599448456580844e-4903j | 6.02e-2000, 6.02e-2000j | 
| 93.105137377117977035 + 2.1351323223416139113e-4901j | 2.05e-1999, 2.05e-1999j | 
| 96.934767521433499345 - 4.3446324729753599228e-4901j | 3.05e-1999, 3.05e-1999j | 
| 100.87215464516970941 + 6.2372157737857334227e-4905j | 3.89e-1999, 3.89e-1999j | 
| 35.454241487949521362 + 2.2933110806507090647e-4932j | 5.38e-2007, 5.38e-2007j | 
| 122.30563181648980431 + 5.9910211744379184044e-4923j | 6.23e-1999, 6.23e-1999j | 
| 13.814276750427692492 - 6.0148472290369668637e-4963j | 2.97e-2016, 2.97e-2016j | 
| 113.36653678865599813 - 2.116570600732043817e-4944j | 6.06e-1999, 6.06e-1999j | 
| 31.392580530335549257 - 1.0400898429172906007e-4978j | 3.09e-2008, 3.09e-2008j | 
| 57.315726372488706999 + 1.2984577472448495848e-4970j | 1.75e-2002, 1.75e-2002j | 
| 104.92072812195011362 - 4.4891809580033316092e-4968j | 4.55e-1999, 4.55e-1999j | 
| 37.589621563247805685 - 2.9093111624833963278e-5001j | 1.95e-2006, 1.95e-2006j | 
| 89.380079138315735321 + 1.0811027188019347433e-4991j | 1.44e-1999, 1.44e-1999j | 
| 60.130045114455417015 - 7.3485130755676771921e-5004j | 4.31e-2002, 4.31e-2002j | 
| 54.582030065468703975 - 1.8424663347838786466e-5007j | 6.75e-2003, 6.75e-2003j | 
| 66.006899012538818265 - 4.3824616743252535148e-5004j | 2.21e-2001, 2.21e-2001j | 
| 152.51939594320974884 + 5.14418338931924932e-5013j | 1.24e-1999, 1.24e-1999j | 
| 235.97847049832152884 + 9.5189570109840850266e-5024j | 2.55e-2005, 2.55e-2005j | 
| 49.35069023653339311 - 1.8375918377622792501e-5026j | 8.63e-2004, 8.63e-2004j | 
| 227.20315175158260147 + 4.4611825860228343539e-5022j | 1.51e-2004, 1.51e-2004j | 
| 255.22232409997887001 - 4.6712352869109910704e-5029j | 3.7e-2007, 3.7e-2007j | 
| 305.66131957307972559 - 1.4303267954318347033e-5042j | 1.56e-2012, 1.56e-2012j | 
| 39.795910884612698044 + 6.2038332360254180164e-5036j | 7.1e-2006, 7.1e-2006j | 
| 117.77211244905625035 - 1.9095011183220386489e-5027j | 6.22e-1999, 6.22e-1999j | 
| 12.607322525895006119 - 2.7754179045246618993e-5083j | 4.38e-2017, 4.38e-2017j | 
| 203.41107825792829869 + 5.896153203768587826e-5066j | 1.26e-2002, 1.26e-2002j | 
| 29.464628912676806304 + 5.906016284775797106e-5131j | 7.26e-2009, 7.26e-2009j | 
| 126.97223734632657219 + 8.4832584305382702812e-5128j | 5.44e-1999, 5.44e-1999j | 
| 4.5366202969211279833 - 5.475563010085381137e-5197j | 1.91e-2025, 1.91e-2025j | 
| 51.927481749929321313 + 6.6006833268258787867e-5170j | 2.31e-2003, 2.31e-2003j | 
| 24.083490088998984559 - 3.3454511435805273259e-5204j | 6.39e-2011, 6.39e-2011j | 
| 1.3494225462513073024 + 1.9660190238894175335e-5218j | 2.25e-2032, 2.25e-2032j | 
| 1.010203761884869979 + 1.0910028802198004939e-5218j | 1.29e-2033, 1.29e-2033j | 
| 1.7457611011583465757 - 2.5551113515504089363e-5220j | 3.25e-2031, 3.25e-2031j | 
| 3.2650632657043860556 + 2.5275754494350713827e-5216j | 1.04e-2027, 1.04e-2027j | 
| 136.72775390075883237 - 8.1017300672678324113e-5199j | 3.75e-1999, 3.75e-1999j | 
| 69.07285432157287164 - 2.643751187117642167e-5236j | 4.76e-2001, 4.76e-2001j | 
| 163.91792834950779477 - 1.2245574704891876357e-5278j | 3.81e-2000, 3.81e-2000j | 
| 19.294129609346258739 - 4.2381486469084294454e-5337j | 4.06e-2013, 4.06e-2013j | 
| 210.96989077493673974 + 2.2913555122393552832e-5322j | 3.3e-2003, 3.3e-2003j | 
| 78.803681161204775827 + 7.255331984340430377e-5360j | 3.22e-2000, 3.22e-2000j | 
| 15.087050074388943852 - 6.7098150044467847876e-5435j | 1.93e-2015, 1.93e-2015j | 
| 3.8765392130996831939 + 2.8432324973322242435e-5449j | 1.51e-2026, 1.51e-2026j | 
| 10.39631421317530665 - 1.6103588273224301523e-5434j | 9.25e-2019, 9.25e-2019j | 
| 245.28515315919943507 + 6.7165987419805360177e-5437j | 3.38e-2006, 3.38e-2006j | 
| 147.09073292108024982 + 7.8374955454772305639e-5539j | 1.84e-1999, 1.84e-1999j | 
| 42.074089721581859968 - 2.7606543252695549765e-5602j | 2.45e-2005, 2.45e-2005j | 
| 7.5909131486120985483 + 4.4638687218994298843e-5649j | 2.28e-2021, 2.28e-2021j | 
| 2.7049164697869033877 + 4.271650975972714963e-5656j | 7.72e-2029, 7.72e-2029j | 
| 27.604245364911229681 - 3.7090671540974611346e-5626j | 1.63e-2009, 1.63e-2009j | 
| 22.42193808838220858 + 2.8573055827312194751e-5636j | 1.21e-2011, 1.21e-2011j | 
| 189.22731431552655405 - 7.0591124940713090715e-5646j | 1.35e-2001, 1.35e-2001j | 
| 63.026549722261869665 - 4.2337031275812421442e-5739j | 1e-2001, 1e-2001j | 
| 2.1980061201392582562 + 5.1927065377900336583e-5840j | 4.81e-2030, 4.81e-2030j | 
| 17.82723896495554529 + 1.1101524175658856161e-5809j | 7.3e-2014, 7.3e-2014j | 
| 141.82963914274761273 - 1.2192765095749461561e-5903j | 2.88e-1999, 2.88e-1999j | 
| 218.88575054108377248 + 4.5174561731928247025e-6018j | 7.57e-2004, 7.57e-2004j | 
| 25.810740849478922602 + 5.1853340614477868372e-6081j | 3.33e-2010, 3.33e-2010j | 
| 44.425198943228632643 - 1.5266137924829546108e-6100j | 8.64e-2005, 8.64e-2005j | 
| 11.467459922450056195 - 6.1050398752569629763e-6158j | 6.33e-2018, 6.33e-2018j | 
| 0.014339754040592922086 - 5.3429105255112397807e-6251j | 1.08e-2041, 1.08e-2041j | 
| 196.1733974806579859 + 1.0187509871730062822e-6247j | 4.23e-2002, 4.23e-2002j | 
| 46.850342464943399718 + 1.2992638169954647439e-6335j | 2.78e-2004, 2.78e-2004j | 
| 16.42484049585383389 + 9.4189836926473911061e-6379j | 1.17e-2014, 1.17e-2014j | 
| 0.72880921362003439057 - 1.8515030254625835122e-6451j | 9.43e-2035, 9.43e-2035j | 
| 33.388849131972416987 + 6.9835827686296119896e-6416j | 1.33e-2007, 1.33e-2007j | 
| 176.1150582816672165 - 2.0633361502955756369e-6545j | 8.32e-2001, 8.32e-2001j | 
| 6.7690115687188579202 - 1.8582281842018292382e-6631j | 2.86e-2022, 2.86e-2022j | 
| 158.12496570329567593 - 7.1262964082463844287e-6665j | 7.05e-2000, 7.05e-2000j | 
| 5.2415090388154887411 - 3.0319804839204615388e-6758j | 2.44e-2024, 2.44e-2024j | 
| 8.4622840767042835363 + 2.4874256509408150078e-6756j | 1.76e-2020, 1.76e-2020j | 
| 85.756628789751338245 + 1.8823453002395230992e-6742j | 9.6e-2000, 9.6e-2000j | 
| 169.91013248218150485 + 7.7109299962514670355e-6813j | 1.93e-2000, 1.93e-2000j | 
| 131.7775536307609551 + 3.9422554127637734961e-6866j | 4.67e-1999, 4.67e-1999j | 
| 9.3950709123011331292 + 1.3284409443372240038e-6914j | 1.38e-2019, 1.38e-2019j | 
| 0.50270723440929392534 - 1.0512935003431638861e-6930j | 5.78e-2036, 5.78e-2036j | 
| 0.17936881620218606019 - 6.8190807715429657462e-6933j | 1.65e-2038, 1.65e-2038j | 
| 182.54816078964295301 + 3.3432910918807481379e-6893j | 3.46e-2001, 3.46e-2001j | 
| 72.226287460371855427 + 9.9466349566226491361e-6903j | 1.02e-2000, 1.02e-2000j | 
| 0.074669944953641526671 - 9.6679890328224458199e-6944j | 5.54e-2040, 5.54e-2040j | 
| 0.3225476896193923118 + 3.7277131881995243535e-6939j | 3.63e-2037, 3.63e-2037j | 
| 5.9866845574928829838 + 1.6892287583255318529e-6925j | 2.73e-2023, 2.73e-2023j | 
| 109.08418823668233391 + 3.7163639532851832756e-6900j | 5.46e-1999, 5.46e-1999j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 8.2923751164101073134e-126 + 3.9681371266964275388e-4985j | 9.5e-375, 2.36e-1878j | 
| 2.8143519798566579565e-140 + 1.689872624525652335e-4992j | 2.17e-379, 5.39e-1883j | 
| 3.3153347699749681138e-120 - 2.8640449213199539375e-4982j | 2.47e-373, 6.14e-1877j | 
| 3.5933469086697751659e-115 + 1.0686910519043887016e-4979j | 4.14e-372, 1.03e-1875j | 
| 5.5096382207897343191e-33 + 9.8035257318464710473e-4936j | 9.33e-329, 2.32e-1832j | 
| 1.4117164875128004299e-09 - 1.657484798913795344e-4924j | 1.48e-283, 3.67e-1787j | 
| 6.7324510836266076501e-36 - 1.1105316290460011649e-4937j | 5.43e-332, 1.35e-1835j | 
| 1.3870123365302322087e-40 + 8.9208538914649729396e-4941j | 4.83e-337, 1.2e-1840j | 
| 3.0969064218751709509e-42 - 1.2908875123590631621e-4941j | 7.9e-339, 1.96e-1842j | 
| 6.2088691129309832697e-44 + 1.5360918322126128876e-4942j | 8.6e-341, 2.14e-1844j | 
| 8.4078888212885518497e-16 - 6.2003319522573046724e-4928j | 1.38e-308, 3.42e-1812j | 
| 3.5157517146868616838e-53 - 1.4241709078721257634e-4947j | 8.54e-350, 2.12e-1853j | 
| 1.2415662348616102088e-06 + 9.9630308334891296948e-4923j | 1.15e-279, 2.84e-1783j | 
| 2.531333497262663573e-49 - 1.6848788409055294997e-4945j | 1.38e-346, 3.41e-1850j | 
| 4.5611060861043355626e-14 - 5.1262352302037437517e-4927j | 2.03e-306, 5.03e-1810j | 
| 3.5576591812164671734e-25 + 1.2610351170740885354e-4932j | 7.45e-326, 1.85e-1829j | 
| 1.1139345738834726213e-45 - 1.637834563670103578e-4943j | 2.2e-343, 5.47e-1847j | 
| 1.0271404583814351638e-16 + 2.0699705103932941322e-4928j | 3.55e-313, 8.81e-1817j | 
| 5.5954846143536317528e-39 - 8.2829350316002807586e-4940j | 5.36e-338, 1.33e-1841j | 
| 2.1952355780860124571e-26 - 3.4349366769426728414e-4933j | 8.81e-328, 2.19e-1831j | 
| 5.3174617211654084519e-24 - 4.5841652825638806028e-4932j | 2.26e-325, 5.62e-1829j | 
| 6.5160523109254797533e-29 - 2.6261098519024001734e-4934j | 6.55e-331, 1.63e-1834j | 
| 3.1860350251896272498e-66 - 1.8478365055343393235e-4954j | 6.07e-363, 1.51e-1866j | 
| 2.9607051697275542895e-102 - 4.3695492226464411784e-4973j | 5.68e-380, 1.41e-1883j | 
| 9.3717407617865993194e-22 - 5.7377378096182110085e-4931j | 5.59e-326, 1.39e-1829j | 
| 1.8120364935660913114e-98 + 3.8321013805495074798e-4971j | 7.28e-379, 1.81e-1882j | 
| 1.4823867263989356963e-110 - 2.4489392569316094238e-4977j | 9.05e-383, 2.25e-1886j | 
| 2.9403661396310736904e-132 - 2.0454278940808254203e-4988j | 1.2e-390, 2.98e-1894j | 
| 1.1681640578357551449e-17 - 6.724551772251232756e-4929j | 2.88e-324, 7.15e-1828j | 
| 3.1798404416143978681e-51 + 1.5917706172239788269e-4946j | 5.04e-354, 1.25e-1857j | 
| 3.928726090537077933e-06 - 2.1353156004761889558e-4922j | 2.27e-301, 5.64e-1805j | 
| 3.3767831902799004429e-88 - 7.3508708141024204031e-4966j | 1.22e-376, 3.03e-1880j | 
| 3.0273675727903207231e-13 + 1.4151792886291300789e-4926j | 2.95e-320, 7.33e-1824j | 
| 3.4038948003513709214e-55 + 1.2016387295960759433e-4948j | 5.45e-358, 1.35e-1861j | 
| 0.0073168538304867285807 + 2.1417518437980799787e-4920j | 1.03e-283, 2.55e-1787j | 
| 7.3405189192372740006e-23 + 1.6388283697502791845e-4931j | 3.49e-332, 8.67e-1836j | 
| 5.8839280113302406459e-11 - 2.5213103051681740288e-4925j | 5.12e-318, 1.27e-1821j | 
| 0.095449284280105030839 + 9.3437806456149943969e-4920j | 1.85e-259, 4.6e-1763j | 
| 0.11299545568826944668 - 1.1461905643310033209e-4919j | 1.07e-254, 2.65e-1758j | 
| 0.074079522913270183541 - 7.4624488346096163289e-4920j | 3.94e-265, 9.79e-1769j | 
| 0.022389080639728749568 + 3.6124979717538283391e-4920j | 1.69e-278, 4.2e-1782j | 
| 2.0941812933925160146e-59 + 7.0599764464672497326e-4951j | 6.86e-362, 1.7e-1865j | 
| 3.1240162847262012482e-30 + 7.9582785301354707082e-4935j | 2.63e-340, 6.54e-1844j | 
| 3.8150401957093653296e-71 - 4.9828697653479452806e-4957j | 5.48e-370, 1.36e-1873j | 
| 6.2591078229246316972e-09 + 3.9777565397867716978e-4924j | 8.65e-318, 2.15e-1821j | 
| 1.8414532873929097559e-91 + 1.5325729413863366522e-4967j | 6.42e-379, 1.59e-1882j | 
| 2.0185747374053825945e-34 + 1.1090037048517289672e-4936j | 1.25e-344, 3.1e-1848j | 
| 3.6602784092397724654e-07 - 4.5563055486437142107e-4923j | 1.86e-315, 4.61e-1819j | 
| 0.013186037255829177632 - 2.7953315707522215249e-4920j | 4.01e-293, 9.96e-1797j | 
| 3.1652855272313204159e-05 - 9.079489516797732031e-4922j | 2.02e-310, 5.01e-1814j | 
| 2.8602440902544425369e-106 + 3.8261566372367039135e-4975j | 4.22e-384, 1.05e-1887j | 
| 7.0327429677072334964e-64 + 3.1240058889702966331e-4953j | 9.61e-366, 2.39e-1869j | 
| 1.2356790775288109133e-18 + 2.1260538018236237286e-4929j | 1.12e-333, 2.77e-1837j | 
| 0.00042650084229239573946 + 5.389290024235111864e-4921j | 1.97e-309, 4.89e-1813j | 
| 0.035698081885972389605 - 4.6331205308189141599e-4920j | 1.01e-293, 2.5e-1797j | 
| 1.8764099503253816443e-12 - 3.8023432852049289154e-4926j | 3.72e-327, 9.23e-1831j | 
| 2.9796272982590623386e-10 + 6.1224375674185576968e-4925j | 5.38e-324, 1.34e-1827j | 
| 4.4946463582376836158e-82 - 1.0658595240106239254e-4962j | 1.5e-376, 3.71e-1880j | 
| 1.2473549396545657249e-27 + 9.3771475251385441388e-4934j | 5.14e-342, 1.28e-1845j | 
| 0.053268532641414519299 + 5.9012248556744514008e-4920j | 1.61e-298, 3.99e-1802j | 
| 2.5970037904473524004e-08 - 9.0376631919803254176e-4924j | 2.27e-323, 5.65e-1827j | 
| 1.3137549445143180165e-61 - 4.8762038226244927497e-4952j | 5.19e-365, 1.29e-1868j | 
| 7.0478934692808134537e-95 - 2.6772140753083557893e-4969j | 3.55e-381, 8.82e-1885j | 
| 1.0867238183924001651e-11 + 9.9384757547341219836e-4926j | 1.66e-329, 4.12e-1833j | 
| 1.2145184165834571358e-19 - 6.5440381514197286734e-4930j | 7.16e-338, 1.78e-1841j | 
| 1.157218626351175018e-05 + 4.4709697949671760495e-4922j | 4.48e-323, 1.11e-1826j | 
| 0.036180233254857348981 - 1.0853494208213014223e-4920j | 4.37e-304, 1.09e-1807j | 
| 4.5025998508452023655e-85 + 3.0079884582072798308e-4964j | 8.56e-378, 2.13e-1881j | 
| 1.1079979708906285561e-20 + 1.9622339667228287172e-4930j | 5.93e-339, 1.47e-1842j | 
| 1.0081979378508123026e-07 + 2.0456241548965007957e-4923j | 2.1e-327, 5.22e-1831j | 
| 0.12197427894048008598 + 1.3334724284518153267e-4919j | 1.2e-310, 2.98e-1814j | 
| 6.4128482319452863094e-15 + 1.8072341977940293111e-4927j | 2.25e-334, 5.58e-1838j | 
| 2.0637712683521340919e-76 - 9.117555041970402033e-4960j | 3.82e-375, 9.49e-1879j | 
| 0.00092025742977094512262 - 8.2856254648034691258e-4921j | 2.71e-326, 6.72e-1830j | 
| 1.2102571005977945815e-68 + 1.003990134517395839e-4955j | 4.44e-371, 1.1e-1874j | 
| 0.003841035211484231474 - 1.6155708459860840714e-4920j | 7.18e-326, 1.78e-1829j | 
| 0.00019023458775986588878 - 3.2136569967688026569e-4921j | 1.22e-328, 3.02e-1832j | 
| 2.0392630044078889592e-37 + 6.8018054449487012246e-4939j | 6.22e-354, 1.54e-1857j | 
| 9.8633369683914692726e-74 + 2.244964664195206043e-4958j | 5.18e-374, 1.29e-1877j | 
| 2.8698544766409250009e-57 - 9.5228881789918655891e-4950j | 9.86e-366, 2.45e-1869j | 
| 8.033887022167209624e-05 + 1.7639677570880947807e-4921j | 6.67e-334, 1.66e-1837j | 
| 0.12163346879295988769 - 1.3743050694164898313e-4919j | 7.41e-330, 1.84e-1833j | 
| 0.10440646668183785558 - 7.735618399817882717e-4920j | 2.17e-330, 5.38e-1834j | 
| 3.4417237986037720037e-79 + 3.3115485200088087036e-4961j | 7.34e-377, 1.82e-1880j | 
| 1.3720712007968986689e-31 - 3.0977480284988116735e-4935j | 1.99e-352, 4.93e-1856j | 
| 0.077385278273955657658 + 3.8881068538818217733e-4920j | 6.98e-333, 1.72e-1836j | 
| 0.1166110966613928367 + 1.1620298755833315856e-4919j | 1.16e-332, 2.86e-1836j | 
| 0.0019190651256514684497 + 1.1852277558802471699e-4920j | 1.64e-335, 4.02e-1839j | 
| 1.7818817242504749385e-47 + 1.697213257038366112e-4944j | 7.02e-361, 1.74e-1864j | 
All rules of Laguerre type can be downloaded here packed into a single file.