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) | 
|---|---|
| 363.75991430907298986 + 1.2847164792066215451e-4072j | 6.43e-2012, 6.43e-2012j | 
| 302.80761271926730986 + 2.1087814016926286153e-4056j | 4.38e-2005, 4.38e-2005j | 
| 281.19388701070648068 + 3.9239603344398456839e-4059j | 6.59e-2003, 6.59e-2003j | 
| 328.60354336597576471 - 4.6042455507856743022e-4070j | 7.05e-2008, 7.05e-2008j | 
| 344.25110206546458149 - 3.3816369602030808636e-4074j | 1.25e-2009, 1.25e-2009j | 
| 189.09427817286737177 - 1.3091090352759086556e-4077j | 8.74e-1996, 8.74e-1996j | 
| 262.21090942781864972 + 1.1486195878747862185e-4113j | 3.78e-2001, 3.78e-2001j | 
| 177.29885622817272768 + 4.2277124748472133e-4170j | 3.43e-1995, 3.43e-1995j | 
| 195.27140215457887309 - 5.7724718660970920339e-4243j | 4.01e-1996, 4.01e-1996j | 
| 271.43002442199039391 + 2.708020434086161717e-4323j | 5.36e-2002, 5.36e-2002j | 
| 41.944536143544137228 + 1.6886571248713190806e-4380j | 1.99e-2002, 1.99e-2002j | 
| 183.10703457125285139 + 5.2968553739791134952e-4435j | 1.82e-1995, 1.82e-1995j | 
| 30.047954498502785981 + 3.4568274190318628672e-4507j | 3.39e-2006, 3.39e-2006j | 
| 58.722707343361102847 - 9.04038478989626407e-4505j | 7.89e-1999, 7.89e-1999j | 
| 131.76970518512018863 + 1.4179151275876997388e-4576j | 4.42e-1994, 4.42e-1994j | 
| 53.594680732456719395 - 3.8909225295678701898e-4629j | 9.24e-2000, 9.24e-2000j | 
| 31.879061399985772598 + 7.2724386992361119538e-4641j | 1.61e-2005, 1.61e-2005j | 
| 61.391041810592150994 - 1.3059579425833980786e-4628j | 2.01e-1998, 2.01e-1998j | 
| 150.63919100790127739 + 3.7635534177227844321e-4666j | 2.49e-1994, 2.49e-1994j | 
| 21.768436944375766258 - 4.9940147030448262242e-4725j | 7.62e-2010, 7.62e-2010j | 
| 26.562628664829997315 + 1.3064987762464488724e-4722j | 1.3e-2007, 1.3e-2007j | 
| 33.769941613794532678 - 6.1693628249203330107e-4720j | 7.3e-2005, 7.3e-2005j | 
| 136.3037499281299745 + 1.16739150937987702e-4707j | 4.2e-1994, 4.2e-1994j | 
| 99.347891727883534806 + 1.0300323318483570292e-4730j | 9.22e-1995, 9.22e-1995j | 
| 23.30936808841722641 - 7.2104433484176975092e-4760j | 4.67e-2009, 4.67e-2009j | 
| 64.130426988805593122 + 4.9228492221409528309e-4749j | 5.76e-1998, 5.76e-1998j | 
| 35.721238923212825756 + 3.4783143144189218836e-4755j | 3.23e-2004, 3.23e-2004j | 
| 291.604842564388957 - 2.9031700911355510588e-4744j | 5.99e-2004, 5.99e-2004j | 
| 66.94206357561062859 - 4.8947085934856243652e-4753j | 1.35e-1997, 1.35e-1997j | 
| 56.124282203753660544 - 4.6668339312897237578e-4765j | 2.73e-1999, 2.73e-1999j | 
| 114.746747624077793 + 4.2638371943583542528e-4761j | 2.95e-1994, 2.95e-1994j | 
| 17.482636332695491527 - 2.8762736237445598977e-4810j | 2.88e-2012, 2.88e-2012j | 
| 1.7457611011583465757 + 4.9706911459604495447e-4828j | 2.97e-2030, 2.97e-2030j | 
| 10.389736106824211401 - 1.6422046219747917597e-4815j | 1.5e-2017, 1.5e-2017j | 
| 14.901858532952281524 - 7.6422786635584242552e-4812j | 6.58e-2014, 6.58e-2014j | 
| 39.807813328536743583 + 9.7436443723567274429e-4801j | 5.38e-2003, 5.38e-2003j | 
| 44.144570950728083299 + 1.6585599503082291749e-4799j | 7.15e-2002, 7.15e-2002j | 
| 127.35067919524705655 + 4.9819257020944792988e-4791j | 4.23e-1994, 4.23e-1994j | 
| 5.2126249633141045037 + 1.4300449570745198685e-4833j | 2.57e-2023, 2.57e-2023j | 
| 8.4532141550855388497 + 6.6111267969081975069e-4830j | 2.01e-2019, 2.01e-2019j | 
| 92.203330252234670831 + 2.3309827629307522953e-4804j | 3.4e-1995, 3.4e-1995j | 
| 1.3750274066308983896 - 6.322017363641914284e-4842j | 1.35e-2031, 1.35e-2031j | 
| 315.0202815156895323 - 1.7842601152950195949e-4816j | 2.14e-2006, 2.14e-2006j | 
| 103.05528623195654592 + 1.328802112112868194e-4802j | 1.29e-1994, 1.29e-1994j | 
| 4.5366202969211279833 + 2.3186093548635886891e-4846j | 2.77e-2024, 2.77e-2024j | 
| 118.84263014338422856 + 7.7850720745525358922e-4814j | 3.5e-1994, 3.5e-1994j | 
| 222.15053977946132764 - 2.6690212486065842908e-4827j | 7.49e-1998, 7.49e-1998j | 
| 85.404941766742939267 + 3.7666560181431236161e-4838j | 1.17e-1995, 1.17e-1995j | 
| 2.541293607187861859 + 4.5176373642329558227e-4871j | 7.61e-2028, 7.61e-2028j | 
| 72.787214167852351048 + 5.0699055859136206417e-4840j | 7.15e-1997, 7.15e-1997j | 
| 110.75211348974266206 - 1.1698201327516696842e-4837j | 2.34e-1994, 2.34e-1994j | 
| 253.46073002873943191 - 2.2433214886918734234e-4860j | 2.39e-2000, 2.39e-2000j | 
| 229.49996889158941993 - 2.1981902103302149861e-4906j | 2.09e-1998, 2.09e-1998j | 
| 3.9194594646869565397 + 7.8081283672562473098e-5004j | 3.49e-2025, 3.49e-2025j | 
| 18.855527236324885174 + 1.0134118594203867554e-4989j | 2e-2011, 2e-2011j | 
| 82.130718652578318738 - 1.4756525591172300101e-4972j | 6.25e-1996, 6.25e-1996j | 
| 208.24584930212046699 + 7.9429244854735786381e-5068j | 6.63e-1997, 6.63e-1997j | 
| 160.85728079832380939 + 2.3538559020490514894e-5157j | 1.38e-1994, 1.38e-1994j | 
| 28.276006031328970672 - 3.1738179001911547481e-5241j | 6.73e-2007, 6.73e-2007j | 
| 5.9433620301618339693 + 4.4258940930039824757e-5261j | 2.3e-2022, 2.3e-2022j | 
| 166.18217416559164177 + 1.0640305531635306042e-5231j | 9.2e-1995, 9.2e-1995j | 
| 123.04283915860120669 - 3.1164899440187517904e-5317j | 4.14e-1994, 4.14e-1994j | 
| 0.51745972389347744988 + 1.2661947763821468555e-5454j | 1.32e-2035, 1.32e-2035j | 
| 16.164881520749349709 - 3.5223252308647051709e-5419j | 4.58e-2013, 4.58e-2013j | 
| 0.3225476896193923118 - 2.173764861858644766e-5455j | 4.62e-2037, 4.62e-2037j | 
| 12.538493952290904412 - 1.7742594105604536414e-5419j | 1.16e-2015, 1.16e-2015j | 
| 20.283978943456420057 + 6.1461717178134998654e-5416j | 1.18e-2010, 1.18e-2010j | 
| 201.65062559766494239 - 5.2743105691505395998e-5413j | 1.71e-1996, 1.71e-1996j | 
| 145.73381055354891613 - 2.5807009829268454453e-5485j | 3.07e-1994, 3.07e-1994j | 
| 0.070612369773139596043 - 7.7126835513483973787e-5598j | 6.18e-2040, 6.18e-2040j | 
| 3.372980634813155439 - 6.8037006823766598856e-5584j | 3.93e-2026, 3.93e-2026j | 
| 2.9218319807566643015 - 1.0882434172990652061e-5584j | 6.12e-2027, 6.12e-2027j | 
| 88.76186155101042712 - 5.2226312415374318258e-5551j | 2.07e-1995, 2.07e-1995j | 
| 46.408730082106936663 - 2.9226286203906924348e-5590j | 2.52e-2001, 2.52e-2001j | 
| 48.737865234487256106 + 1.3864855747955497948e-5609j | 9.03e-2001, 9.03e-2001j | 
| 1.044588323169393218 + 1.7420678504816447084e-5724j | 7.19e-2033, 7.19e-2033j | 
| 7.5639901270233977967 + 3.0669799662839319954e-5686j | 2.26e-2020, 2.26e-2020j | 
| 106.85585499669247078 + 2.1716311824442318652e-5714j | 1.78e-1994, 1.78e-1994j | 
| 155.67841113927978456 - 1.2711828799609315639e-5854j | 1.88e-1994, 1.88e-1994j | 
| 140.95695566570776216 + 2.800066922090681761e-5941j | 3.9e-1994, 3.9e-1994j | 
| 11.437449571414264248 + 1.9314621599409137345e-6004j | 1.32e-2016, 1.32e-2016j | 
| 0.75828522126306480515 - 1.4628600213601226876e-6023j | 2.79e-2034, 2.79e-2034j | 
| 95.731311927937090502 - 5.6776888957423718585e-5981j | 5.75e-1995, 5.75e-1995j | 
| 37.73362747312910046 - 4.7610356430754339475e-6014j | 1.37e-2003, 1.37e-2003j | 
| 171.66011135581200262 + 1.3164114026450427649e-6002j | 5.68e-1995, 5.68e-1995j | 
| 75.823463183266972477 - 8.6326663813208096522e-6023j | 1.61e-1996, 1.61e-1996j | 
| 9.3950709123011331292 - 5.0197723239538202184e-6045j | 1.83e-2018, 1.83e-2018j | 
| 69.827215494963776851 + 3.4227716524719770622e-6023j | 3.07e-1997, 3.07e-1997j | 
| 51.132869693511504094 + 7.0951937977846142702e-6027j | 2.81e-2000, 2.81e-2000j | 
| 215.07301012670675181 + 2.3088931104963414399e-6019j | 2.43e-1997, 2.43e-1997j | 
| 245.12130836208533552 - 7.4885783158713302309e-6027j | 1.21e-1999, 1.21e-1999j | 
| 2.1451041073607839804 - 1.4439266081878364231e-6076j | 5.89e-2029, 5.89e-2029j | 
| 13.693183578982118048 + 9.4792977400979148586e-6063j | 8.92e-2015, 8.92e-2015j | 
| 78.937443416995445343 + 1.4681879897967281018e-6041j | 3.21e-1996, 3.21e-1996j | 
| 237.1467377235410598 - 9.3851527674769937215e-6041j | 5.31e-1999, 5.31e-1999j | 
| 0.013397743690669721619 - 1.4019184641762233177e-6102j | 9.44e-2042, 9.44e-2042j | 
| 6.7273298557721838145 - 5.2771708601191630208e-6083j | 2.26e-2021, 2.26e-2021j | 
| 0.17362181075218492551 + 2.7054561667286653641e-6100j | 1.6e-2038, 1.6e-2038j | 
| 24.907261339552913027 - 8.2876489350581954441e-6070j | 2.43e-2008, 2.43e-2008j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.4065494360374140045e-157 - 2.5274422577662472168e-4199j | 1.94e-358, 5.03e-1860j | 
| 3.6235031753533262026e-131 - 5.0510308613352673613e-4186j | 5.08e-351, 1.32e-1852j | 
| 7.6202426854442870438e-122 - 1.9784803578976831656e-4180j | 2.72e-348, 7.04e-1850j | 
| 2.813633959395009092e-142 - 1.1701852068242095313e-4191j | 9.4e-355, 2.44e-1856j | 
| 5.3268067414174264851e-149 + 4.4612938773624659434e-4195j | 8.81e-357, 2.28e-1858j | 
| 4.5848113556916740619e-82 + 3.0435256468051401471e-4159j | 3.54e-335, 9.17e-1837j | 
| 1.1918474319359941486e-113 - 1.0341087549552574955e-4176j | 3.01e-347, 7.78e-1849j | 
| 5.7230666632370432366e-77 + 1.9622334742258410674e-4157j | 2.23e-333, 5.78e-1835j | 
| 9.8263226366668915901e-85 + 4.3103975144232221718e-4161j | 5.24e-337, 1.36e-1838j | 
| 1.2476994715045356983e-117 + 1.1173943528609691102e-4178j | 5.23e-349, 1.35e-1850j | 
| 1.3177349971505388752e-18 - 1.9087237876807174179e-4128j | 7.49e-284, 1.94e-1785j | 
| 1.7708581135144368848e-79 - 2.0576179437294843769e-4158j | 2.03e-334, 5.27e-1836j | 
| 1.6067783363260715859e-13 - 9.9661281497514327503e-4126j | 3.57e-272, 9.25e-1774j | 
| 8.2705644403527491009e-26 + 3.3173135041588394787e-4132j | 5.95e-297, 1.54e-1798j | 
| 2.6547388491750655688e-57 - 4.1855172283337569635e-4148j | 2.57e-326, 6.66e-1828j | 
| 1.322178623582077784e-23 + 4.6069731927536768711e-4131j | 5.38e-294, 1.39e-1795j | 
| 2.6596221927557331352e-14 + 3.7677814495129193812e-4126j | 4.79e-276, 1.24e-1777j | 
| 5.8906354416070622688e-27 - 8.4740577614922848195e-4133j | 6.19e-299, 1.6e-1800j | 
| 1.8823793290641060216e-65 - 4.3380482346954959293e-4152j | 3.99e-331, 1.03e-1832j | 
| 5.3188328646241273491e-10 + 8.653453366606903009e-4124j | 1.44e-265, 3.73e-1767j | 
| 4.9024309620051598315e-12 - 6.4294541353055391565e-4125j | 1.83e-271, 4.75e-1773j | 
| 4.1440340637750526387e-15 - 1.3857012185662748608e-4126j | 7.5e-279, 1.94e-1780j | 
| 2.924968732515929289e-59 + 4.5443311760309000121e-4149j | 3.62e-328, 9.37e-1830j | 
| 2.6147517979535733009e-43 - 3.992453440962733575e-4141j | 6.85e-319, 1.77e-1820j | 
| 1.1819089258873627487e-10 - 3.7325568994741949933e-4124j | 1.74e-269, 4.51e-1771j | 
| 3.9067916775911188734e-28 + 2.093282711085392121e-4133j | 2.4e-302, 6.22e-1804j | 
| 6.0744517537678858235e-16 + 4.9556919067848116877e-4127j | 7e-283, 1.81e-1784j | 
| 2.4556469772612717016e-126 + 7.2456052434864711943e-4184j | 1.29e-357, 3.35e-1859j | 
| 2.4098961517509469184e-29 - 4.9974528693371969347e-4134j | 1.48e-304, 3.82e-1806j | 
| 1.0824910671011331759e-24 - 1.2564678145323834317e-4131j | 7.04e-298, 1.82e-1799j | 
| 5.9294413618144999795e-50 - 1.8622646002456073457e-4144j | 8.52e-325, 2.21e-1826j | 
| 3.4370965616741758014e-08 - 9.2922058306602101091e-4123j | 8.41e-268, 2.18e-1769j | 
| 0.067741068367975051639 + 1.6316404886306600636e-4118j | 4.67e-207, 1.21e-1708j | 
| 3.1396590049650296567e-05 - 5.7764006449130995158e-4121j | 9.19e-256, 2.38e-1757j | 
| 4.1701204233016957265e-07 - 4.0156305447933287796e-4122j | 2.16e-264, 5.6e-1766j | 
| 1.0839422308689146755e-17 + 5.8186327247105734646e-4128j | 7.91e-289, 2.05e-1790j | 
| 1.5029430358971052833e-19 + 6.0784804313503436721e-4129j | 2.64e-292, 6.84e-1794j | 
| 2.1481761461383952375e-55 + 3.6716020653584343728e-4147j | 4.96e-329, 1.29e-1830j | 
| 0.0038335872222083193808 - 1.9842341008032718105e-4119j | 1.09e-243, 2.82e-1745j | 
| 0.00019520127661853614445 - 1.9568327176236183307e-4120j | 4.34e-255, 1.12e-1756j | 
| 3.153036351479967391e-40 - 1.4311935409482542031e-4139j | 1.57e-319, 4.06e-1821j | 
| 0.088893590426616109747 - 1.3469420001799460258e-4118j | 1.84e-214, 4.76e-1716j | 
| 1.9784251969307395145e-136 + 1.0714436084109327364e-4188j | 2.4e-365, 6.22e-1867j | 
| 6.5781391103384042889e-45 + 6.2632940314832186029e-4142j | 5.43e-323, 1.41e-1824j | 
| 0.0069359800470887520649 + 3.5808661108027121372e-4119j | 2e-246, 5.17e-1748j | 
| 1.0117878043341558207e-51 + 2.4471135756691539621e-4145j | 1.5e-327, 3.88e-1829j | 
| 2.3941831644603008981e-96 + 1.0735520667709007882e-4167j | 5.15e-353, 1.33e-1854j | 
| 2.6892066730752819245e-37 - 4.3654811218022862076e-4138j | 9.28e-319, 2.4e-1820j | 
| 0.030026109486750800395 + 2.3602098785061205189e-4118j | 6.22e-241, 1.61e-1742j | 
| 7.3405619372253826865e-32 - 2.5651116709715979771e-4135j | 9.59e-314, 2.48e-1815j | 
| 3.1406060452912496233e-48 + 1.3539346512102310078e-4143j | 9.35e-326, 2.42e-1827j | 
| 7.1560189660218482464e-110 + 8.7660479997185034597e-4175j | 2.3e-358, 5.95e-1860j | 
| 1.5999767856618491246e-99 - 2.1956585752069542548e-4169j | 7.24e-355, 1.88e-1856j | 
| 0.01161148005057773696 - 6.6413528177853349312e-4119j | 6.21e-258, 1.61e-1759j | 
| 9.0669729312677436043e-09 + 4.3155813782303732322e-4123j | 4.85e-287, 1.26e-1788j | 
| 6.930273676404152825e-36 + 2.2738811198590557782e-4137j | 1.41e-319, 3.65e-1821j | 
| 2.4355227807693073379e-90 + 2.0159165214853431187e-4164j | 3.26e-351, 8.45e-1853j | 
| 7.2576066895909766823e-70 - 3.3429341573720085335e-4154j | 2.84e-342, 7.35e-1844j | 
| 9.1427355886384038809e-13 + 2.5654577979966535509e-4125j | 1.29e-297, 3.34e-1799j | 
| 0.0019870560631188732035 + 1.1150967841651371849e-4119j | 7.77e-274, 2.01e-1775j | 
| 3.6341893881746741321e-72 + 2.7850369813110278699e-4155j | 2.14e-343, 5.53e-1845j | 
| 1.5556633898483363919e-53 - 3.0693611166233159533e-4146j | 2.01e-332, 5.21e-1834j | 
| 0.12987597324350195493 + 7.4036660061997451439e-4119j | 1.94e-256, 5.03e-1758j | 
| 1.2313447625298491219e-07 + 1.9540596143487591275e-4122j | 1.62e-291, 4.2e-1793j | 
| 0.1245179195217697096 - 5.487212782040999523e-4119j | 2.48e-258, 6.41e-1760j | 
| 4.0442510178252817013e-06 - 1.5870560115939714895e-4121j | 4.43e-289, 1.15e-1790j | 
| 2.2597179564811704226e-09 - 1.9564433058888973198e-4123j | 1.46e-294, 3.79e-1796j | 
| 1.7224209388857838493e-87 - 8.5151601072166917891e-4163j | 6.81e-351, 1.76e-1852j | 
| 2.4744567052472645541e-63 + 4.6240521238101640651e-4151j | 2.59e-339, 6.72e-1841j | 
| 0.074627756474864940806 - 1.9036565779178675385e-4119j | 8.65e-265, 2.24e-1766j | 
| 0.01725549812927952901 + 1.2514610775286540005e-4118j | 3.04e-275, 7.88e-1777j | 
| 0.021569085688373587367 - 2.0449717827543355269e-4118j | 9.62e-274, 2.49e-1775j | 
| 9.6061355553898883487e-39 + 8.0622194233290486748e-4139j | 1.44e-325, 3.73e-1827j | 
| 1.6069834498683465505e-20 - 1.878393508094756199e-4129j | 2.93e-312, 7.6e-1814j | 
| 1.609454723700315454e-21 + 5.6301811504479562685e-4130j | 1.89e-313, 4.9e-1815j | 
| 0.10861861399876874574 + 1.1273749838817735311e-4118j | 1.49e-272, 3.86e-1774j | 
| 0.00044769564385987674764 + 3.5243815445951119128e-4120j | 2.02e-290, 5.24e-1792j | 
| 1.5077339022807346684e-46 - 9.4128105201248240289e-4143j | 2.03e-330, 5.26e-1832j | 
| 1.2530797266488647084e-67 + 3.8873631831384800984e-4153j | 1.39e-342, 3.61e-1844j | 
| 2.8614404488899222972e-61 - 4.6976046477980842367e-4150j | 4.86e-339, 1.26e-1840j | 
| 1.1585533256201217566e-05 + 3.0574501230678955814e-4121j | 8.64e-300, 2.24e-1801j | 
| 0.12352842775962711505 - 9.3158874990511618987e-4119j | 9.77e-283, 2.53e-1784j | 
| 9.491208781583508947e-42 + 2.4401357574697131674e-4140j | 6.09e-329, 1.58e-1830j | 
| 8.3713909785661852751e-17 - 1.7227178776590793346e-4127j | 1.15e-312, 2.97e-1814j | 
| 1.5624267797466537372e-74 - 2.2937863059493781126e-4156j | 1.05e-346, 2.73e-1848j | 
| 3.6150461247696693184e-33 + 5.5080608671778726299e-4136j | 1.11e-325, 2.86e-1827j | 
| 8.0491313580417136737e-05 + 1.0718029751891365239e-4120j | 3.59e-303, 9.31e-1805j | 
| 1.3808849208947621954e-30 + 1.1523837326262707859e-4134j | 7.57e-324, 1.96e-1825j | 
| 1.5085851985179519758e-22 - 1.6360675576258119215e-4130j | 1.1e-318, 2.85e-1820j | 
| 2.7346590537964823991e-93 - 4.7895462541739210577e-4166j | 2.27e-358, 5.88e-1860j | 
| 2.8597973146205597151e-106 - 6.3816798702345121738e-4173j | 8.17e-366, 2.12e-1867j | 
| 0.047431411099323848674 - 2.0320832637918420673e-4118j | 4.35e-305, 1.13e-1806j | 
| 1.3353807387162873319e-06 + 8.0697250118311544989e-4122j | 4.77e-312, 1.23e-1813j | 
| 1.6469387518503330158e-34 - 1.1402128468448679138e-4136j | 8.43e-329, 2.18e-1830j | 
| 7.9590123700389241299e-103 + 4.002683537305406158e-4171j | 4.42e-364, 1.14e-1865j | 
| 0.033927725768422891621 + 5.5458166842361119239e-4120j | 1.09e-309, 2.82e-1811j | 
| 0.00097058910407935031856 - 6.284259850932878526e-4120j | 4.72e-311, 1.22e-1812j | 
| 0.10587579103348891171 + 3.6134150956122204675e-4119j | 1.94e-309, 4.96e-1811j | 
| 2.4784455868595896855e-11 + 1.5693823670952189001e-4124j | 3.1e-316, 8.03e-1818j | 
All rules of Laguerre type can be downloaded here packed into a single file.