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) | 
|---|---|
| 237.26790003053807043 + 1.5247930474371088682e-4077j | 7.14e-2021, 7.14e-2021j | 
| 207.04097047469093331 - 1.4042706374204763635e-4071j | 1.66e-2017, 1.66e-2017j | 
| 14.844120721407922953 + 1.2441889303999892664e-4076j | 3.32e-2019, 3.32e-2019j | 
| 16.379501012884029428 - 2.2992958102298031768e-4076j | 1.1e-2018, 1.1e-2018j | 
| 21.571211929007168317 + 1.0422516590344806012e-4074j | 7.88e-2017, 7.88e-2017j | 
| 8.1520869076516652718 + 6.9017349485831438128e-4083j | 6.69e-2024, 6.69e-2024j | 
| 6.0965852838405064943 + 1.3258070540266292207e-4083j | 5.44e-2026, 5.44e-2026j | 
| 9.2933368142929086459 - 5.3133021957239408381e-4081j | 6.95e-2023, 6.95e-2023j | 
| 11.729478038549467064 - 2.5077696888736239382e-4078j | 1.03e-2020, 1.03e-2020j | 
| 220.44163307810334055 + 6.255590726826706339e-4075j | 5.59e-2019, 5.59e-2019j | 
| 2.9210583191070599945 - 1.3117160851119395997e-4089j | 3.56e-2030, 3.56e-2030j | 
| 2.3283443117657386272 - 1.5011147797580427689e-4088j | 3.03e-2031, 3.03e-2031j | 
| 7.0858100058588375569 - 7.5559660620785917433e-4083j | 5.95e-2025, 5.95e-2025j | 
| 12.640800844275782659 - 1.46703047739050861e-4077j | 5.25e-2020, 5.25e-2020j | 
| 1.4134030591065167922 + 1.5376289535802872441e-4090j | 3.07e-2033, 3.07e-2033j | 
| 0.10788462532792876335 - 3.1471578193960108076e-4098j | 5.33e-2040, 5.33e-2040j | 
| 4.35149453981455575 - 1.3404529995954621075e-4086j | 4.68e-2028, 4.68e-2028j | 
| 10.501498462975188679 + 3.6173664450245582746e-4079j | 8.29e-2022, 8.29e-2022j | 
| 1.0708454833955383369 - 5.5132698240608959899e-4092j | 2.87e-2034, 2.87e-2034j | 
| 3.5964257710407220812 - 2.0314716515333232469e-4086j | 4.29e-2029, 4.29e-2029j | 
| 1.8243856322334551588 + 6.654037479224600135e-4091j | 2.98e-2032, 2.98e-2032j | 
| 0.2635603197181409102 - 1.2788599288019995656e-4096j | 2.02e-2038, 2.02e-2038j | 
| 18.017867969014129126 - 1.2031839834602049873e-4075j | 5.07e-2018, 5.07e-2018j | 
| 0.48378984054023711523 + 8.0403745764618158254e-4095j | 5.46e-2037, 5.46e-2037j | 
| 5.1850446726230692927 - 1.2074646750367759423e-4084j | 5.1e-2027, 5.1e-2027j | 
| 0.020532874159420331382 + 4.2669186721220009043e-4146j | 9.05e-2042, 9.05e-2042j | 
| 19.749086442622459019 + 5.5120067623715695423e-4075j | 2.01e-2017, 2.01e-2017j | 
| 0.75907438161763777949 + 1.4844869231354162354e-4093j | 1.46e-2035, 1.46e-2035j | 
| 13.48028339709395593 - 7.9953169400494580892e-4077j | 1.51e-2019, 1.51e-2019j | 
| 195.48311662762786977 + 2.553310009579379552e-4067j | 2.39e-2016, 2.39e-2016j | 
| 185.15565194674824342 - 7.3537289416380488816e-4074j | 2.41e-2015, 2.41e-2015j | 
| 151.32408548473945346 + 7.3440393593815538115e-4101j | 1.92e-2012, 1.92e-2012j | 
| 167.04159442539367515 - 2.363458301935648559e-4151j | 1.04e-2013, 1.04e-2013j | 
| 118.86019348163876075 + 5.5296616680951018084e-4216j | 1.85e-2010, 1.85e-2010j | 
| 158.93340879300852102 - 1.0035403671856353594e-4286j | 5.24e-2013, 5.24e-2013j | 
| 107.85909998933850795 + 5.9141229297640619144e-4350j | 5.41e-2010, 5.41e-2010j | 
| 92.979786606379694761 - 1.3671754242037576203e-4390j | 1.09e-2009, 1.09e-2009j | 
| 50.978990216839375835 - 9.900721865295215739e-4414j | 3.72e-2011, 3.72e-2011j | 
| 71.736710573245619716 + 2.4755064838331688065e-4441j | 7.53e-2010, 7.53e-2010j | 
| 27.5877877796376345 - 3.8854149556168232672e-4478j | 4.6e-2015, 4.6e-2015j | 
| 64.295835744324135777 - 7.7227543080203926233e-4474j | 3.61e-2010, 3.61e-2010j | 
| 47.951296410127606464 + 4.2349661872055657681e-4512j | 1.64e-2011, 1.64e-2011j | 
| 113.24125539117083452 - 6.4315758359578860587e-4561j | 3.31e-2010, 3.31e-2010j | 
| 75.670351874428793185 + 4.285551397171209232e-4613j | 9.66e-2010, 9.66e-2010j | 
| 175.73954582233904119 + 2.5337920739650778048e-4659j | 1.84e-2014, 1.84e-2014j | 
| 42.233480564719475631 - 4.9140325075460796004e-4712j | 3.13e-2012, 3.13e-2012j | 
| 130.88867351862157661 + 1.5671785074958278464e-4765j | 4.45e-2011, 4.45e-2011j | 
| 34.458252342209352057 + 1.9797304547447029617e-4817j | 1.55e-2013, 1.55e-2013j | 
| 88.400822143132943629 + 3.0855380663274228742e-4872j | 1.23e-2009, 1.23e-2009j | 
| 124.73510703065810596 + 2.9528810498552072907e-4920j | 1.04e-2010, 1.04e-2010j | 
| 97.741654640735664656 - 3.2241423501254521213e-4946j | 9.11e-2010, 9.11e-2010j | 
| 32.070372949132885135 + 1.227785638660760993e-4967j | 5.33e-2014, 5.33e-2014j | 
| 23.484374156976317334 - 4.2341829619432475505e-4970j | 3.26e-2016, 3.26e-2016j | 
| 67.947078636315459056 - 2.006067806139429502e-4962j | 5.45e-2010, 5.45e-2010j | 
| 57.388526277175700377 + 2.552778504521130867e-4983j | 1.28e-2010, 1.28e-2010j | 
| 54.12353561855539708 - 1.3489787583499681905e-5019j | 6.93e-2011, 6.93e-2011j | 
| 39.537483861177641689 - 2.2908565271593919663e-5092j | 1.18e-2012, 1.18e-2012j | 
| 60.777871892474755525 + 6.1857803918713399505e-5223j | 2.15e-2010, 2.15e-2010j | 
| 137.34804180408143211 - 5.0394925367897790612e-5386j | 1.89e-2011, 1.89e-2011j | 
| 29.780848413769572742 - 1.8079730773244565362e-5569j | 1.54e-2014, 1.54e-2014j | 
| 144.14621977028035688 - 1.2000444051672211608e-5749j | 6.28e-2012, 6.28e-2012j | 
| 79.754205908161428016 - 1.6141893733963976423e-5891j | 1.04e-2009, 1.04e-2009j | 
| 45.037144389960740813 + 3.8539934652101833759e-5997j | 7.55e-2012, 7.55e-2012j | 
| 102.6972995215439459 - 4.2955396923637732156e-6045j | 7.46e-2010, 7.46e-2010j | 
| 83.995146275849234978 - 2.309570158469505218e-6075j | 1.13e-2009, 1.13e-2009j | 
| 25.489472105177605085 - 7.0718675135137221566e-6087j | 1.25e-2015, 1.25e-2015j | 
| 36.946545544045947008 - 1.6695663389628387193e-6084j | 4.33e-2013, 4.33e-2013j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 1.7928114443513375115e-102 + 7.8497966345490508319e-4136j | 1.46e-400, 4.05e-1916j | 
| 1.4943030543459109782e-89 + 3.4302978581310752328e-4129j | 1.16e-396, 3.22e-1912j | 
| 5.2683203958043678834e-07 + 6.3129445464666244194e-4083j | 1.79e-323, 4.97e-1839j | 
| 1.2242579336652764575e-07 - 8.1943590141788377162e-4083j | 2.61e-326, 7.26e-1842j | 
| 7.9985483342090523205e-10 - 1.0310174261293425915e-4083j | 1.41e-334, 3.93e-1850j | 
| 0.00031819725129569951842 + 3.8534859079972430594e-4082j | 5.86e-309, 1.63e-1824j | 
| 0.0021390037258190928031 + 7.4967407938633447049e-4082j | 4.91e-302, 1.36e-1817j | 
| 0.00010833414608260603451 - 2.8726920088313386604e-4082j | 1.55e-312, 4.3e-1828j | 
| 9.4745309324436811301e-06 - 2.7135906094525038029e-4082j | 6.18e-319, 1.72e-1834j | 
| 2.6936077837867689244e-95 - 3.8054201601067672904e-4132j | 4.05e-401, 1.13e-1916j | 
| 0.034198359594807458044 + 3.2105074570040421793e-4081j | 5.03e-287, 1.4e-1802j | 
| 0.053566854292450426724 - 4.688320259147559206e-4081j | 6.67e-282, 1.85e-1797j | 
| 0.00086026154511362367577 - 5.3232375757587995649e-4082j | 6.01e-307, 1.67e-1822j | 
| 2.0572654948369848059e-06 + 8.3304496662492651005e-4083j | 3.04e-321, 8.45e-1837j | 
| 0.089778302108966598644 - 8.3481059560282475494e-4081j | 3.23e-274, 8.98e-1790j | 
| 0.1094077785423678553 + 1.1442155732489806764e-4081j | 2.86e-271, 7.95e-1787j | 
| 0.01023823921111124247 + 1.5315711139254788588e-4081j | 9.87e-298, 2.74e-1813j | 
| 3.3932068186835188677e-05 + 2.4169878821067023269e-4082j | 1.05e-316, 2.92e-1832j | 
| 0.11111950451804429472 + 8.1070969747889351779e-4081j | 1.39e-271, 3.86e-1787j | 
| 0.019620682145302609523 - 2.2096031238320385899e-4081j | 4.88e-294, 1.36e-1809j | 
| 0.073723048345946943516 + 6.6809335632481851742e-4081j | 4.73e-281, 1.31e-1796j | 
| 0.14513430871157401434 - 2.3464427072558257466e-4081j | 1.42e-271, 3.96e-1787j | 
| 2.5214453403469094296e-08 + 5.3391722354133230563e-4083j | 2.36e-332, 6.56e-1848j | 
| 0.15416096555605729795 + 3.9917536352003909721e-4081j | 4.5e-273, 1.25e-1788j | 
| 0.0048862703658107997312 - 1.0678541966767246021e-4081j | 1.05e-302, 2.93e-1818j | 
| 0.051591259307515873864 - 3.1979128458752832259e-4082j | 8.88e-275, 2.47e-1790j | 
| 4.706600387259358661e-09 + 1.4356523075119183523e-4084j | 2.12e-335, 5.9e-1851j | 
| 0.13910082913525077658 - 6.1255044483121494095e-4081j | 9.52e-277, 2.65e-1792j | 
| 1.6575092844147552028e-06 + 4.5301650651807540827e-4083j | 8.42e-324, 2.34e-1839j | 
| 1.3776600456417325715e-84 - 1.240594343427096149e-4126j | 1.16e-401, 3.23e-1917j | 
| 3.8068503473914807072e-80 + 2.4329526057904925712e-4124j | 9e-401, 2.5e-1916j | 
| 1.4095099270991335847e-65 + 8.6588868704922352654e-4117j | 3.41e-397, 9.48e-1913j | 
| 2.3893592294797443336e-72 + 2.6377738132509091408e-4120j | 1.94e-399, 5.39e-1915j | 
| 1.3767268473775537206e-51 - 1.7860837408783509142e-4109j | 3.93e-393, 1.09e-1908j | 
| 7.4257466442475454795e-69 - 1.7113503719817632941e-4118j | 1.91e-398, 5.31e-1914j | 
| 7.5709888507193760594e-47 - 5.6264606373565495905e-4107j | 2.55e-391, 7.1e-1907j | 
| 1.9435209300393338636e-40 + 1.4119599782761507979e-4103j | 1.26e-388, 3.51e-1904j | 
| 2.2358248749576606395e-22 - 7.6841284282531198313e-4094j | 6.35e-376, 1.77e-1891j | 
| 2.7027341178432824772e-31 - 1.1326104818362352401e-4098j | 7.74e-384, 2.15e-1899j | 
| 2.2402043600601710808e-12 - 5.2666944795690302387e-4087j | 7.99e-362, 2.22e-1877j | 
| 4.2757864027161597142e-28 - 6.1237905234286494729e-4097j | 1.14e-381, 3.17e-1897j | 
| 4.4445782043759317981e-21 + 3.7531220235189313833e-4093j | 2.83e-375, 7.87e-1891j | 
| 3.6317898102018905128e-49 + 3.3612201083490981914e-4108j | 1.01e-393, 2.82e-1909j | 
| 5.4912943805434026533e-33 + 1.383438611111587443e-4099j | 1.52e-385, 4.24e-1901j | 
| 4.2957972346848796675e-76 - 3.029940788416013241e-4122j | 1.38e-404, 3.84e-1920j | 
| 1.2516040365689787543e-18 + 5.9703195167379831236e-4092j | 3.88e-375, 1.08e-1890j | 
| 9.0201945618192727582e-57 - 3.4087657045476476617e-4112j | 3.26e-398, 9.07e-1914j | 
| 2.6421445850804241703e-15 + 8.0852348862323026849e-4090j | 2.51e-372, 6.98e-1888j | 
| 1.8211076603621311504e-38 - 1.5903931648138689192e-4102j | 5.89e-390, 1.64e-1905j | 
| 4.0468295126760610354e-54 + 8.3609221321381208491e-4111j | 4.81e-397, 1.34e-1912j | 
| 1.7285878756638030072e-42 - 1.1455261330421969144e-4104j | 5.9e-392, 1.64e-1907j | 
| 2.7601186663390031325e-14 - 7.9480864695505602517e-4089j | 3.69e-373, 1.03e-1888j | 
| 1.2384753239177319997e-10 - 5.768415348090679903e-4085j | 1.48e-367, 4.1e-1883j | 
| 1.151989590445889578e-29 + 8.6265388086768023722e-4098j | 9.16e-386, 2.55e-1901j | 
| 3.967032214961010856e-25 - 2.5058489260130306433e-4095j | 7.75e-384, 2.15e-1899j | 
| 1.0003665300146020366e-23 + 1.4416043598996358272e-4094j | 5.95e-383, 1.65e-1898j | 
| 1.7831760829961122463e-17 - 1.378305023271228906e-4091j | 3.4e-379, 9.46e-1895j | 
| 1.3889646931817637166e-26 + 4.0557879016188564009e-4096j | 7.31e-385, 2.03e-1900j | 
| 1.4843563760681528117e-59 + 1.1939882181006278557e-4113j | 1.81e-403, 5.03e-1919j | 
| 2.6108508645347382663e-13 + 6.5521948397525530509e-4088j | 4.85e-377, 1.35e-1892j | 
| 1.7457174861502163674e-62 - 3.5339372998504564362e-4115j | 6.61e-405, 1.84e-1920j | 
| 9.6029816229908573733e-35 - 1.5682126287693266372e-4100j | 6.63e-392, 1.84e-1907j | 
| 7.8839273815979621134e-20 - 1.6378580108677029815e-4092j | 1.82e-383, 5.06e-1899j | 
| 1.2675970292906494106e-44 + 8.4470642481364642763e-4106j | 3.11e-397, 8.66e-1913j | 
| 1.4356628909674338951e-36 + 1.6447593274916886169e-4101j | 4.49e-393, 1.25e-1908j | 
| 1.7463371930422048711e-11 + 4.654123813717879829e-4086j | 2.36e-379, 6.55e-1895j | 
| 2.2857094916796969067e-16 - 3.4723835195552318534e-4091j | 2.25e-382, 6.25e-1898j | 
All rules of Laguerre type can be downloaded here packed into a single file.